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Put -4, -1/4, 4, -32 in increasing order. -32, -4, -1/4, 4 Put 3, -48, -3, 1 in increasing order. -48, -3, 1, 3 Sort 0.2, 5, 548 in descending order. 548, 5, 0.2 Sort 1/6, 1, -1.32, -0.1. -1.32, -0.1, 1/6, 1 Put -4/7, 4/11, 3, -30, -2/5 in increasing order. -30, -4/7, -2/5, 4/11, 3 Sort 2, 1, 102 in decreasing order. 102, 2, 1 Put 0, 7, 1, 117 in decreasing order. 117, 7, 1, 0 Sort -0.1, 0.05, -10, 2/17 in descending order. 2/17, 0.05, -0.1, -10 Sort -0.5, 1, -3/7 in increasing order. -0.5, -3/7, 1 Sort -395, 5, -1, -5, 4 in ascending order. -395, -5, -1, 4, 5 Put 3, 4, -431, -1, 5 in decreasing order. 5, 4, 3, -1, -431 Put -11, -5, 18 in ascending order. -11, -5, 18 Put 1, -4, -5, 2, -14 in descending order. 2, 1, -4, -5, -14 Put 56, 7, -11 in descending order. 56, 7, -11 Sort -39, 2/5, -1/8, -0.1, -0.11 in descending order. 2/5, -0.1, -0.11, -1/8, -39 Sort 4, -139, 2, -2, 5 in decreasing order. 5, 4, 2, -2, -139 Put 1, -2, -25, -5 in descending order. 1, -2, -5, -25 Put 0, 4, -20 in increasing order. -20, 0, 4 Sort -63, -2/9, -2/7 in descending order. -2/9, -2/7, -63 Sort 3, -17, -31 in decreasing order. 3, -17, -31 Put 1/3, 2/3, 5, 2 in ascending order. 1/3, 2/3, 2, 5 Sort 7, 5, -0.7 in increasing order. -0.7, 5, 7 Sort -7/6, 0.13, 7, -3/7, -2/5 in decreasing order. 7, 0.13, -2/5, -3/7, -7/6 Sort 0, -1, 1485. -1, 0, 1485 Put 0.1, 2/3, 3/74 in decreasing order. 2/3, 0.1, 3/74 Put 0, -3, -5, 3, 5 in descending order. 5, 3, 0, -3, -5 Sort 5, 2, -24, -6, -1. -24, -6, -1, 2, 5 Put -6, 0, -1, -4 in decreasing order. 0, -1, -4, -6 Sort 0.2, 0.5, 7, -0.3. -0.3, 0.2, 0.5, 7 Sort -53, 4, -1, -5. -53, -5, -1, 4 Put -21, -4, 51 in ascending order. -21, -4, 51 Put -5, 3, 94, -0.5 in ascending order. -5, -0.5, 3, 94 Put -72, 0.1, -0.5, 2, 4/7 in decreasing order. 2, 4/7, 0.1, -0.5, -72 Put -2/7, -2.1, 0 in decreasing order. 0, -2/7, -2.1 Put 0, -1, -5, 3, 101 in increasing order. -5, -1, 0, 3, 101 Put 1/2, 4/7, 16, -3/7, 48/5 in increasing order. -3/7, 1/2, 4/7, 48/5, 16 Sort 2/13, 278, -1/4 in decreasing order. 278, 2/13, -1/4 Sort -162, -2, 4 in ascending order. -162, -2, 4 Put 39, -7, 5, -4 in descending order. 39, 5, -4, -7 Sort 1, -12, 2, -2 in increasing order. -12, -2, 1, 2 Put 0, -97, 3/5 in decreasing order. 3/5, 0, -97 Put -3/7, 2, 17 in increasing order. -3/7, 2, 17 Put 7, 0, 2, -8 in increasing order. -8, 0, 2, 7 Sort 31, -1, 30 in decreasing order. 31, 30, -1 Sort 0.2, -0.3, -0.1, 0, -0.01. -0.3, -0.1, -0.01, 0, 0.2 Put 1, 3, 22 in descending order. 22, 3, 1 Put 0.5, 1.2, 0.2, -1 in increasing order. -1, 0.2, 0.5, 1.2 Sort -4, -145, 3, 0 in decreasing order. 3, 0, -4, -145 Put -4, -2, 21, -12 in descending order. 21, -2, -4, -12 Sort 3, 8, -4/5. -4/5, 3, 8 Sort 5, 80, 0, 1. 0, 1, 5, 80 Sort 3/2, 4/5, -43 in descending order. 3/2, 4/5, -43 Sort 0, -5, 133 in decreasing order. 133, 0, -5 Sort 0, 9, -3, 3 in decreasing order. 9, 3, 0, -3 Sort -5/2, 0.1, 25.2, 0.5, -4. -4, -5/2, 0.1, 0.5, 25.2 Sort 4, -4, 0, 1747 in decreasing order. 1747, 4, 0, -4 Put -153, -1, 1 in ascending order. -153, -1, 1 Sort -26, 92, -2 in increasing order. -26, -2, 92 Sort 0, -4, -72, -5 in decreasing order. 0, -4, -5, -72 Put -1, 0, -4, 6, 2/9 in ascending order. -4, -1, 0, 2/9, 6 Sort -4.9, 5, 2. -4.9, 2, 5 Put -4, 4, 11, 1 in ascending order. -4, 1, 4, 11 Put 7, 4, 1/3, 24 in decreasing order. 24, 7, 4, 1/3 Put -50, 2, -4, 1 in increasing order. -50, -4, 1, 2 Sort -28, -2/19, -2/7, 8, 0.2 in decreasing order. 8, 0.2, -2/19, -2/7, -28 Sort -150/7, -0.4, -1/3, 9 in ascending order. -150/7, -0.4, -1/3, 9 Put -10, 0.7, 6 in descending order. 6, 0.7, -10 Sort 360, -2, -3, -1 in increasing order. -3, -2, -1, 360 Put -2, -270, -1 in increasing order. -270, -2, -1 Sort 5, -1, 0, 25 in increasing order. -1, 0, 5, 25 Sort -1, 4, -9, 5 in decreasing order. 5, 4, -1, -9 Sort 5, -0.9, 4, 7/5. -0.9, 7/5, 4, 5 Put 52, -1, 2 in descending order. 52, 2, -1 Sort 0.04, 2, -1/3, -5, 4. -5, -1/3, 0.04, 2, 4 Put 117, -2, 3, 4 in descending order. 117, 4, 3, -2 Sort -6, -3/7, 1, -5 in decreasing order. 1, -3/7, -5, -6 Put 1, -311/2, -1 in decreasing order. 1, -1, -311/2 Sort 1, -5, -58, 4. -58, -5, 1, 4 Sort 2, 1, 8. 1, 2, 8 Sort 4, 3, -2, 10 in ascending order. -2, 3, 4, 10 Put -5, 5, -1, 7 in descending order. 7, 5, -1, -5 Sort 4/3, -0.156, 4, -1/7 in decreasing order. 4, 4/3, -1/7, -0.156 Sort -3, -5, 10 in ascending order. -5, -3, 10 Put 0.1, -4630, 5 in descending order. 5, 0.1, -4630 Sort -0.2, 361/3, -0.4, 3 in increasing order. -0.4, -0.2, 3, 361/3 Put -5, 1, 4, 43 in increasing order. -5, 1, 4, 43 Sort 18, -4, 1, 2 in descending order. 18, 2, 1, -4 Sort -12, 0.44, -2. -12, -2, 0.44 Sort -5, 4, 7, -29 in ascending order. -29, -5, 4, 7 Sort 0.6, -0.1, -6. -6, -0.1, 0.6 Put -0.3, 4/5, 107, 9 in increasing order. -0.3, 4/5, 9, 107 Sort -6, 0.5, -0.1, -2. -6, -2, -0.1, 0.5 Sort 2, 4/9, -0.033, 0. -0.033, 0, 4/9, 2 Sort -0.3, 3, 5, 1/3. -0.3, 1/3, 3, 5 Put 3, 1, -106, 2 in ascending order. -106, 1, 2, 3 Sort 2, 3, -11, 5 in decreasing order. 5, 3, 2, -11 Sort 0.2, -170, 4. -170, 0.2, 4 Put -1, 1/391, 2, 0.1 in descending order. 2, 0.1, 1/391, -1 Put 1, -91, -5 in descending order. 1, -5, -91 Put -1, -2, 1, 21 in ascending order. -2, -1, 1, 21 Sort 0, -1/3, 58/7, 2/3. -1/3, 0, 2/3, 58/7 Sort -26, -2, -1, -5 in ascending order. -26, -5, -2, -1 Sort -3, -150, 5 in descending order. 5, -3, -150 Sort -1, 18, 22 in increasing order. -1, 18, 22 Put -0.4, 1/5, -0.1 in decreasing order. 1/5, -0.1, -0.4 Sort 4, 455, -4. -4, 4, 455 Sort 4/7, 2/3, 1, -0.09, 0.5. -0.09, 0.5, 4/7, 2/3, 1 Sort 0.1, 0.31, 12, 0, -4 in decreasing order. 12, 0.31, 0.1, 0, -4 Sort 9, -4, -7, 4. -7, -4, 4, 9 Put -2, -3, -5, 3, 4 in ascending order. -5, -3, -2, 3, 4 Sort -0.2, 0, -3/7, -22.4 in ascending order. -22.4, -3/7, -0.2, 0 Sort 5, 2, -2, -3. -3, -2, 2, 5 Put 62, -0.05, 2 in decreasing order. 62, 2, -0.05 Put 3, 34, 8 in descending order. 34, 8, 3 Sort -0.041, 2/7, 0.2 in decreasing order. 2/7, 0.2, -0.041 Sort -83, 0.1, 0 in descending order. 0.1, 0, -83 Sort -1, -3, 1, -24, 5. -24, -3, -1, 1, 5 Sort 0.24, 4, 1, 0.5 in decreasing order. 4, 1, 0.5, 0.24 Sort 0.5, 1, 1/4, 0.05. 0.05, 1/4, 0.5, 1 Sort 32, -3, 106. -3, 32, 106 Put 4, -0.19, -2, 1/4 in decreasing order. 4, 1/4, -0.19, -2 Sort -6, -30, 3, -3. -30, -6, -3, 3 Put 2/21, 0.1, -15, 0.3, -0.2 in descending order. 0.3, 0.1, 2/21, -0.2, -15 Put -46, 0.17, 2, -2, 0.1 in decreasing order. 2, 0.17, 0.1, -2, -46 Sort 2/31, -4, -1, 3, 1 in decreasing order. 3, 1, 2/31, -1, -4 Put 4, -0.4, 4/15, -3/8 in decreasing order. 4, 4/15, -3/8, -0.4 Put -1/6, 0.9, 2/5, 0.2, 3 in ascending order. -1/6, 0.2, 2/5, 0.9, 3 Sort 0.3, -0.058, -5, -0.2 in descending order. 0.3, -0.058, -0.2, -5 Sort 5, 1/5, 0.05, 2 in descending order. 5, 2, 1/5, 0.05 Sort -2/13, -2, -0.03, 2, 4. -2, -2/13, -0.03, 2, 4 Sort -5, 3, 0, 25. -5, 0, 3, 25 Put -18, 5, -4, -3 in increasing order. -18, -4, -3, 5 Sort 1610, 5, 1, 4 in decreasing order. 1610, 5, 4, 1 Put -2, 4, 327 in increasing order. -2, 4, 327 Sort -9, -4, -6, -1, -5 in decreasing order. -1, -4, -5, -6, -9 Sort -1, -2, -1991. -1991, -2, -1 Sort -6, -12, -5, 5, -1 in ascending order. -12, -6, -5, -1, 5 Sort 1/10, -2/23, 0.5, -5 in increasing order. -5, -2/23, 1/10, 0.5 Sort -445, -4, -5 in descending order. -4, -5, -445 Put -2, 3/7, -3, 0.5, 115 in decreasing order. 115, 0.5, 3/7, -2, -3 Sort 1, -19, -3, 5 in ascending order. -19, -3, 1, 5 Sort 0.1, -5, 0.2, -1/2 in ascending order. -5, -1/2, 0.1, 0.2 Put -4, -63, 3 in increasing order. -63, -4, 3 Sort -3, 1, 0, -106 in decreasing order. 1, 0, -3, -106 Sort -4, -166, 2 in decreasing order. 2, -4, -166 Put 2/3, -0.4, -10/27, -2 in decreasing order. 2/3, -10/27, -0.4, -2 Sort -5, 2/85, 3 in decreasing order. 3, 2/85, -5 Sort -3/2, -0.2, 8/13 in ascending order. -3/2, -0.2, 8/13 Sort -3, -12, -3/7, 1/6. -12, -3, -3/7, 1/6 Put -2, 25, 2, -12, -1 in decreasing order. 25, 2, -1, -2, -12 Sort 1/2, -13, 1/12, 3 in descending order. 3, 1/2, 1/12, -13 Put -8/7, 0.6, -1/11, 3 in descending order. 3, 0.6, -1/11, -8/7 Sort -52, 4, -5 in descending order. 4, -5, -52 Sort -1, 3, -4, -77 in descending order. 3, -1, -4, -77 Sort -2, -1.1, 5 in ascending order. -2, -1.1, 5 Sort 4, -19680, 5, 0. -19680, 0, 4, 5 Sort -2, 15, 4 in descending order. 15, 4, -2 Put -15, -3, -22 in ascending order. -22, -15, -3 Sort -16, -2, 7, -1/12 in descending order. 7, -1/12, -2, -16 Sort 80, 0.4, -3 in decreasing order. 80, 0.4, -3 Sort 1078, -3, 3 in descending order. 1078, 3, -3 Sort -2, 46, -4. -4, -2, 46 Sort 3, -4, 0, 21 in decreasing order. 21, 3, 0, -4
Suppose 2*g - p = 47142 + 329093, -4 = 4*p. Is g a composite number? True Is (436427 - (-13 - -6 - -7))/1 composite? False Suppose 12*u - 27*u - 150 = 0. Is (-7 - 444/(-60)) + (-3786)/u a composite number? False Is 1073998/3*((-4860)/40)/(-81) a composite number? False Let d = -11 + 267. Let i = d + 111. Is i prime? True Let i(z) be the third derivative of 29*z**5/10 - z**4/3 + z**3/2 - z**2 - z. Is i(-4) a prime number? True Let i = 101 + -99. Suppose 5*y = 4*a - 3532 + 27729, y - i*a = 4843. Is y a prime number? False Suppose 2655062 = 122*a - 9*a - 34652001. Is a composite? True Suppose -5*c - t = -53035, t = -8*c + 7*c + 10607. Let j = c + -5946. Is j prime? False Let o(g) = 2446*g + 73. Is o(3) prime? True Let t(a) = 2912*a + 7589. Is t(61) prime? True Suppose 7*b = -116 + 25. Let c(g) = -62*g + 15. Is c(b) a composite number? False Suppose -3*u = -2*b - u + 8, -2 = u. Suppose -5*v - 1 = -26. Suppose v*n - 9457 = -b*n. Is n prime? False Let k = -17 + 36. Suppose -k*w + 4 = -17*w. Is 951*((-1)/w - 10/(-12)) composite? False Suppose -2640911 = -39*u + 4*u + 22*u. Is u a prime number? False Let o = 1064769 + -109042. Is o composite? False Let k = -38 + 113. Let q = -571 + 549. Let d = q + k. Is d prime? True Suppose 110*g - 1119891 - 2498445 = 14*g. Is g prime? True Let q(t) = 23 + 2*t**2 - 37 - 1482*t**3 + 21 + 8*t + 2*t**2. Is q(-2) composite? False Suppose -450 = 28*s - 23*s. Let p be (-5)/((-15)/6)*s/(-20). Let v(o) = 2*o**3 - 16*o**2 + 10*o - 1. Is v(p) prime? True Suppose 0 = -69*u + 106*u - 9341945. Is u prime? False Let z = 135742 + 443311. Is z a composite number? False Let f be (-12)/(-36) + 1802/(-6). Let k = 719 + f. Is k prime? True Suppose -3370*w = -3371*w + 59739. Is w a composite number? True Let w(g) = -4 + 42*g - 21*g - 32*g - g**2. Let n be w(-11). Is 2 + 849 - (4 + n) composite? True Let i = -79 - -59. Is (144/i)/(-9) - (-14702)/10 composite? False Suppose -13*p + 3144835 = -876627 + 280283. Is p composite? False Suppose 0 = -30*b - 7*b + 8888029. Suppose 33*c - 14*c = b. Is c a prime number? False Is (3/6)/((-17)/(-9363158)) a composite number? True Is ((-3)/(-9))/(11/2453253) a prime number? False Let t = -1786 + 2605. Suppose r = t + 2252. Is r a composite number? True Suppose -b - 12*b = 553408 - 2393831. Is b composite? True Let c be -1 + 3 + 1112/16*34. Suppose -7*p + c = -15058. Is p composite? True Suppose 0 = -8*l - 55 - 89. Is 1582063/441 - (-8)/l a prime number? False Suppose -700*i = -698*i - x - 31987, 0 = 4*i + 2*x - 63954. Is i a composite number? False Let j = 5 - 24. Let c = j - -18. Is -2 + (c - -3) + 211 a prime number? True Let y(j) = j**3 - j + 1. Let k(z) = 6*z**3 - 11*z**2 + 21*z - 17. Let l(x) = k(x) - 2*y(x). Is l(6) composite? False Let o be 48/(-18)*18/(-4). Suppose -o*z - 60 = -9*z. Is (-3)/5 + (-2872)/z composite? True Let d(a) = 18*a**2 + 25*a - 589 - 2*a**2 + 492. Is d(6) prime? False Suppose -2*c - 266506 = -2*t, 36*t - 399751 = 33*t - c. Is t a composite number? True Suppose -23*l = -58*l + 2316895. Is l a prime number? False Let h(v) = 2*v**3 + 11*v**2 + 12*v + 3. Let q be h(-4). Suppose -3*k = 4*u - 21297, 0*u - 35524 = -5*k + q*u. Is k prime? True Suppose 2*k + 2*n = 7*k - 8, -k = 2*n - 4. Suppose -k*f = 3*f - 35. Is (-6 + f)/(2/816) - -3 composite? True Suppose 6 = 2*y - 8. Let x(v) be the first derivative of 18*v**2 + 11*v + 45. Is x(y) composite? False Let g(c) = -c**2 - 7*c - 7. Let w(z) = 2*z - 5. Let f be w(0). Let v be g(f). Suppose 15 = -5*x, -765 = -v*b - 3*x + x. Is b composite? False Let v = -35342 + 57819. Let l = v - 15918. Is l a composite number? True Suppose -10108 - 15988 = -2*b - l, 0 = -b + l + 13039. Is b a composite number? True Suppose 1091323 = 4*o - 5*u, -7*o + 6*o + 272812 = 5*u. Is o composite? True Let w(s) = -27*s - 3 - 4 + 0. Let t be w(-2). Suppose 8488 = -t*k + 51*k. Is k a prime number? False Let x be (-1)/((-40)/(-12) + -3). Let c be 5/20*0 + x + -1. Is (-5470)/(-14) + c*(-1)/14 a prime number? False Suppose 0 = -1063*k + 1122*k - 2525141. Is k composite? True Let d(u) = -7*u - 9. Let q be d(7). Let j = -64 - q. Is (-14*(-1)/j - -2)*-753 a prime number? True Let u(r) = r**2 - 18*r + 7. Let i be u(17). Let t(q) = -q**3 - 9*q**2 - 8*q - 5. Let l be t(i). Let d = l - 96. Is d composite? False Suppose -92 = 2*l - 4*l - c, 3*l + 2*c - 138 = 0. Let n = 44 - l. Let w(x) = 29*x**2 - 5*x - 5. Is w(n) a composite number? True Suppose 890513 = g + 2*o, 2*g - 2*o - 1668474 = 112570. Is g a composite number? True Suppose -2*u + s + 112425 = 0, 168640 = 3*u - 25*s + 21*s. Let o = u + -34785. Is o a composite number? True Suppose -4*f = -4*n + 48, -4*n + 8*n - 24 = f. Is (-4719 - 2)/(((-16)/f)/(-2)) a prime number? True Let w(t) = 88*t**2 + 4*t + 6. Let f be w(-2). Let x = f + -214. Let z = 437 - x. Is z composite? True Suppose 3*n = 5*m - n - 148966, 0 = -5*m - 4*n + 148974. Suppose 4*t - m + 777 = 5*u, 0 = 3*t - 3*u - 21762. Is t prime? True Let c be -1*1/1*314. Let g = -1323 - c. Let f = g + 1848. Is f a prime number? True Let y be -14433*7*(-8)/(-168). Let n = y - -8800. Is n composite? False Suppose n - 3*z - 285418 = -0*n, 3*n + 10*z = 856273. Is n prime? True Let h(k) be the third derivative of -k**5/60 - 5*k**4/4 + k**3/3 + 136*k**2. Let i be (19/3)/((-1)/3). Is h(i) a prime number? True Suppose -5*l + 2276 = -l. Suppose -4*i - 374 = 738. Let v = l + i. Is v prime? False Let s(b) = -10*b**3 + 8*b**2 + 51*b + 181. Is s(-27) a composite number? True Let k be (-5)/(-1 + 6)*0. Suppose 20*l - 13*l - 128009 = k. Is l a composite number? False Let p(q) = q**2 - 9*q - 49. Let m be p(13). Suppose 0 = -t - m*w - w + 1255, 3*w = 2*t - 2521. Is t composite? False Suppose 3*b = 4*p - 962141, 2*b - 962126 = -1128*p + 1124*p. Is p prime? False Let v(l) = l**3 + 3*l + 92581. Is v(0) prime? True Let t be -4 - 27718/(-4)*6/3. Let r = t - -17512. Is r composite? True Suppose -68 = 5*d - 23. Let x be 21/14*-2*(-3)/d. Is 2/(-6)*x/((-3)/(-2763)) a prime number? True Let i = 375790 - 205721. Is i prime? False Let v = 167 + -181. Is (-5187)/v + (-3)/24*-4 a prime number? False Let z(p) = -43*p**3 - 3*p**2 - 29*p - 307. Is z(-20) composite? False Suppose 1735*q - 1723*q = 11028. Is q prime? True Let k(n) = 813*n**2 + 5*n. Let u be k(-1). Let o = u + 755. Is o a composite number? True Let y be 56257/9 + 90/405. Is (-2)/(-12) - y/(-42) a prime number? True Is -84*(-42)/(-1008)*((-1146356)/(-7))/(-2) a composite number? False Suppose -2*n + 66286 = -4*b, 16569 = -0*b - b + n. Let a = -9637 - b. Is a composite? True Is 18/(-2) + (-3)/((-15)/131110) prime? False Suppose -3*n + 101*n = 21468338 - 4597344. Is n a composite number? False Is (-10 - 248/(-24)) + (-24262007)/(-21) a prime number? False Let i(b) = 2*b**3 + 35*b**2 + 17*b + 26. Let r be i(-17). Suppose r*h = 21*h + 18005. Is h prime? False Let l = 353 + -320. Let u(w) = -w**3 + 37*w**2 + 7*w - 26. Is u(l) composite? False Let v(u) = -4482*u**3 + u**2 + 2*u + 2. Let t = -252 + 251. Is v(t) a composite number? False Suppose -101*d - 36*d + 43899235 = 9769658. Is d composite? True Is (((-3)/(-24))/(12/96))/(1/55201) a composite number? False Let m = 3013 + -5912. Let s = -1798 - m. Suppose 3*n + s = 6*n. Is n composite? False Let s = -30 - -26. Let g be 187/s*(-2 - -6). Let h = 438 + g. Is h prime? True Let b(g) = g**3 + 19*g**2 + 155. Let h be b(-18). Let u = -18 - -10. Let m = h - u. Is m a composite number? False Let s(a) = -1960*a - 771. Is s(-23) composite? True Is ((-3)/2)/((-13555)/(-54244) - 46/184) prime? False Suppose -553 = -3*c - 322. Suppose 70*h - c*h = -62461. Is h prime? True Let a(r) = 24*r**2 + 45*r + 548. Is a(-47) a composite number? False Let q = 78219 - -23822. Is q prime? False Let g(d) = -6*d**2 - 80*d - 130. Let j(i) = i**2 + 16*i + 26. Let l(n) = 2*g(n) + 11*j(n). Let o be l(15). Suppose r - o = 162. Is r prime? False Let h = 297 - 298. Is -1847*(-4 + 0 + h) a composite number? True Let i = 63 + -58. Let f(a) = -a**3 + 8*a**2 - 3*a - 13. Let o be f(i). Suppose -6*s = -427 - o. Is s prime? True Is (3937/(-124))/(1/(-1348)) composite? True Suppose -4*b = -2*b - 2, 0 = -2*u - 4*b - 134. Let x = u - -73. Suppose 5*v + 8793 = 8*v - x*h, -4*h + 2915 = v. Is v prime? True Is (3/(-2))/(((-36)/(-32))/((-3173661)/54)) composite? True Let l(g) = -g**2 + g - 1. Let c be l(2). Is (5/c)/((-29)/21837) a prime number? False Suppose 99*d - 26804125 = -26*d. Is d a composite number? False Let y be (-2)/((-14)/(-6) + -3). Let n(s) = s - 3. Let p be n(y). Suppose 4*o - 4604 = -p*o. Is o a composite number? False
Suppose 21*l = 7 + 14. What is the second biggest value in -1, l, -11, 4? l Let p = 4 - 2.2. Let g = -2 + p. Let r(n) = n**2 - n - 3. Let z be r(0). Which is the biggest value? (a) -4 (b) g (c) z b Let j = -0.565 + 0.225. Which is the biggest value? (a) 3 (b) 0 (c) j a Let i = 0.251 + -101.251. Let o = 98 + i. What is the second smallest value in 2, -3/4, o, 0.5? -3/4 Suppose 17*v = 4*v + 1755. Let m be (-8)/(-30) + (-5 - v/(-25)). Let f = 0 - 0. Which is the third biggest value? (a) f (b) m (c) -3/4 c Let a = -4 - 1. Let f = 29 - 147/5. Suppose -2*y - 6 = -4*o + 14, -o - 4 = 4*y. What is the third smallest value in y, a, f? f Let y = 0.1729 + 0.8271. Which is the third smallest value? (a) -3/7 (b) -3 (c) -1/17 (d) y c Let b = 15.7 - 15.6. Let j be ((-2)/(-100))/(1/8). Let y = -67/50 - j. What is the second smallest value in y, -3, b? y Let i = -0.06 - 1.94. Let d = 22.2 + -22.1. Suppose 2*z = x, 2*z + 0 - 20 = -4*x. What is the smallest value in z, d, i? i Let a = -1.84 + 1.34. What is the third biggest value in a, -8, 0.3, -4? -4 Let y be (32/(-8))/(-4)*(-4 - 3). Which is the biggest value? (a) 1 (b) y (c) 1/10 a Let m(p) = 2*p - 6. Let v be m(-6). Which is the smallest value? (a) -5/6 (b) 0.5 (c) v (d) 5 c Let z = 0 + 0.1. Let w = 6.2 + -67.2. Let d = w + 60.5. Which is the third biggest value? (a) z (b) -3 (c) d b Let a(y) = 11*y - 277. Let n be a(25). Let u(f) = -5*f. Let j be u(4). Let v be 2/j*(-2)/n. What is the second biggest value in v, 4, -2? v Let k be (-2)/9*9/(-2). Which is the second biggest value? (a) k (b) 0 (c) 0.04 (d) 0.5 d Let h = -0.6 + 1. Suppose -10 = -5*i + 55. Suppose i = 2*r + 3. Which is the second smallest value? (a) h (b) r (c) -2 a Let p = -49 - -48.77. Let k = -0.4 - p. Let s = k + -0.33. Which is the biggest value? (a) -5 (b) s (c) 2/15 c Let n = -159/4 + 119/3. Let p = -5 + 8.9. Let r = 4.3 - p. What is the smallest value in n, 2, r? n Let d = 3.51 + -7.74. Let r = -0.23 - d. Which is the third smallest value? (a) 0.07 (b) 0.3 (c) r c Let w = 564169/267 + -2113. Let l be 80/17088*(155/(-2) + -1). Let j = l + w. Which is the biggest value? (a) -2/23 (b) 4 (c) j b Suppose 6 = -5*x + 1. Let q(f) = -5*f**3 + f + 1. Let u be q(x). What is the fourth smallest value in u, -5, 0.1, -4? u Let z = 0.7848 + 0.2152. What is the second smallest value in 1/7, z, -123? 1/7 Let l = -13126/123 - -320/3. Let o be 3/(-3 + 9/(-6)). What is the second biggest value in o, l, -0.4, 0.3? l Let u be (-3 + 92/30)*6. Let o be 24/(-10) + 3/(-5). Let f be 0 + -2 + o/(-2). Which is the third smallest value? (a) -5 (b) u (c) f b Let t = 41.03 + -0.03. Let o = t - 38. What is the second biggest value in -5/6, o, -5? -5/6 Let k = -385 - -356. Which is the third biggest value? (a) -2 (b) -4/3 (c) k (d) 0.2 a Let w = 255.66 - 252. Let x = w - -0.07. Let d = -0.27 - x. What is the second smallest value in -2, d, -9? d Let m = -324 - -328. Which is the second smallest value? (a) m (b) -1.1 (c) -4 b Suppose -h - 3*c + 4 = 0, 4*h + 5*c - 9 = -0*h. Let y be 6/44*((-28)/(-12) - h). What is the biggest value in -7, -2, y? y Let l = -11207 - -11191. Let k = -6 + 8. Let a be k - 2 - (-2)/(-9). What is the third smallest value in a, l, -3? a Suppose 0 = -2*r + 5*z + 2 - 4, 2*r + 2*z = -2. Which is the second biggest value? (a) r (b) 3/7 (c) -9 a Let j = -0.13 + -22.87. Let h = -4.91678 + -0.08322. Which is the second smallest value? (a) j (b) h (c) 0.1 b Let w = -0.461 + -0.039. Which is the smallest value? (a) w (b) 21 (c) -2/3 (d) 5 c Let o = 1.8 + 19.2. Let l = -17 + o. Suppose u - 3 = -5*w, w - 1 - 2 = -u. Which is the third smallest value? (a) l (b) w (c) -0.1 a Suppose r = -5*r - 18. Let s(c) = c**3 + 3*c**2 - c - 4. Let f be s(r). What is the fourth smallest value in f, -0.1, -2, 2/13? 2/13 Let y = 1.181 + -1.083. Which is the second smallest value? (a) 1/3 (b) y (c) 5/6 a Let k = -5 + 16/3. Let r = 16 + -82. Let s = r - -66.5. What is the smallest value in k, 4/7, s? k Let l = -21.1 + 17.1. What is the third biggest value in l, 2/5, 0.08? l Let r = 10.6 - 11. Let d = -22.4 - -24. Let t = -1.6 + d. Which is the third smallest value? (a) t (b) 4 (c) r b Suppose -10*x + 11 = -13*x - 5*t, -4*t = x + 6. Which is the smallest value? (a) x (b) -1/3 (c) 53 (d) 1 a Suppose 62 = 28*p + 118. Which is the second biggest value? (a) p (b) -0.01 (c) 0.8 (d) 1/4 d Let q = -345.859 - -346. Let n = 0.041 - q. Which is the second smallest value? (a) 2 (b) n (c) -1 b Let x = 1.129 + -1.129. Which is the third smallest value? (a) -2/9 (b) -2/7 (c) 2/15 (d) x d Let i = 76 + -76.4. Which is the smallest value? (a) i (b) 5 (c) 6 a Suppose -4*j = 4*l - 12, 6*l - 3*l + 4*j - 12 = 0. What is the third biggest value in -6/13, l, 1? -6/13 Let l = 0.039 - -0.061. Let w = 0.8 + -5.8. Which is the third smallest value? (a) l (b) -0.09 (c) w (d) -1 b Let n be -11*7/(-6083)*2/(-6). Let k = -232/1185 + n. Let s = -1.2 + 0.2. Which is the biggest value? (a) k (b) s (c) -2/21 c Let g be (2*3/6)/(12/(-2)). Let o = 6.197 - -0.103. Let t = -6 + o. Which is the second biggest value? (a) t (b) 3/4 (c) g a Let j = -11.4 + 12.4. Which is the fourth smallest value? (a) j (b) -0.1 (c) 4 (d) 2/61 c Let x be 354/24 + 9/(-12). What is the second smallest value in 3/2, 2/13, x? 3/2 Let q be (2 - 4)*(-10)/(-4). Let m = 16 - 19. Which is the second biggest value? (a) q (b) m (c) 2 b Let l = -1017.056 + 1012. Let u = l - -0.056. Let k be (-34)/8 + 1/4. What is the biggest value in 0.3, u, k? 0.3 Let g = 33 + -29. Let k be (-4)/(-10) - (0 + 0). What is the smallest value in k, g, 4/5? k Let g = 269 + -275. Which is the second biggest value? (a) g (b) -4/3 (c) 0.4 b Suppose y = 5*h - 5, 5*h + 5 + 5 = -2*y. Let o = 0.127 + 12.273. Let d = -12 + o. Which is the smallest value? (a) y (b) d (c) 4 a Let z = 15.368 - 15.43. What is the smallest value in z, 3, -0.2? -0.2 Let y = 16 + -15.74. Let r = -7.96 + 8. Let s = y + r. Which is the third smallest value? (a) s (b) -4/7 (c) 5 c Let t be 12/(-1)*(-20)/(-30). Let k(p) = p**2 + 8*p - 1. Let q be k(t). Let y be (6/15)/(9/(-5)). What is the third smallest value in y, q, 2? 2 Let j = -500 - -496. What is the biggest value in j, 2/9, -27? 2/9 Let i(z) = 8*z - 1. Let j be i(4). Let x = j - 34. Let n = -0.37 + -0.03. What is the second biggest value in -0.5, x, n? -0.5 Let s = 3 - 9. Let f = s + 9. Let c = 10.09 - 9.69. What is the third smallest value in c, -1/6, f? f Suppose -u + 2*o = 8, 4*u - 3*o + 1 = -21. Let j(s) = -2*s - 7. Let y be j(-6). Which is the third biggest value? (a) -0.3 (b) u (c) y b Let u = -3/277 + 593/3601. What is the smallest value in 10, -2/9, u? -2/9 Let f = -0.2407 - 2.7593. Which is the smallest value? (a) f (b) 4 (c) 0.3 (d) 1/6 a Let n = -1.19 - -2.19. Which is the smallest value? (a) -5 (b) -8 (c) n (d) 0.3 b Let q = -15 - -14.963. Let g = q + 0.437. Which is the smallest value? (a) 0 (b) g (c) 3 a Let u = 26.3 + -26.23. Which is the fourth smallest value? (a) 5 (b) 0.1 (c) u (d) -4 a Suppose -5*w = -4*p - 28, -w + 0*w + p + 5 = 0. Let r = w + -9. Let i be -4 + -11*(-5)/15. What is the third smallest value in -0.2, r, i? -0.2 Let r = -1378 - -1375. What is the third biggest value in -59, 8, r? -59 Let r = 2 + -2.5. Let s = r - -0.8. Let q = 11 - 10. What is the biggest value in -4, s, q? q Let j be 16/((-352)/(-99))*(-3)/36. What is the fourth biggest value in 169, j, -0.5, 4? -0.5 Let o = 21.42 - 21.02. Which is the second biggest value? (a) o (b) 69/7 (c) 5 (d) -1 c Let l = 309 - 302. What is the smallest value in 5, 4, l, -0.1? -0.1 Suppose 19*h = 24*h - 125. Let l = 30 - h. Which is the biggest value? (a) 4 (b) 3/7 (c) l (d) -5/4 c Let r = 1473.384 - 1468. Let m = -0.016 - r. Let w = m + 5. What is the second biggest value in 1/4, w, 5? 1/4 Let o be 9 - 2/(2 - 4). Let g be (8/o)/((-4)/(-10)). What is the biggest value in g, 3, -0.5? 3 Suppose 0 = -2*i + 49 + 7. Suppose 0 = -29*z + i*z + 4. What is the second biggest value in z, 0.5, 5, 3? z Let s = -0.325 - -0.025. What is the third biggest value in 5, -1.5, s, -0.5? -0.5 Let f = 1838.8 + -1839. Let q = -3.05 + 0.05. Which is the fourth smallest value? (a) 4 (b) -0.5 (c) q (d) f a Let u be (-1)/(-5) - 1535/50. Let g = u + 30. Let p = 5 - 5. What is the third smallest value in 8, g, p? 8 Suppose 0*p + 5*p - 15 = 0. Suppose p*q + 3 = -0*q. Let v = 3/2 + -5/6. What is the third biggest value in v, q, -0.3? q
Round -0.000303119 to five decimal places. -0.0003 What is -5600000 rounded to the nearest 1000000? -6000000 Round -0.171 to 2 decimal places. -0.17 Round 1012 to the nearest ten. 1010 What is -0.000004747 rounded to seven dps? -0.0000047 What is -0.000080641 rounded to five dps? -0.00008 Round 0.0014609 to four dps. 0.0015 Round -0.0362 to three decimal places. -0.036 Round -12084700 to the nearest 1000000. -12000000 Round -0.00108 to three dps. -0.001 What is 0.004143 rounded to 3 dps? 0.004 Round -0.000369 to 4 dps. -0.0004 What is -1.3084 rounded to 2 dps? -1.31 What is -0.000022 rounded to six dps? -0.000022 What is -0.0002446 rounded to four decimal places? -0.0002 Round 0.05661 to three dps. 0.057 Round 179000 to the nearest 100000. 200000 Round -0.00111111 to 4 decimal places. -0.0011 Round 0.0000463724 to six decimal places. 0.000046 What is 6450 rounded to the nearest one thousand? 6000 What is 19.48 rounded to the nearest ten? 20 What is 64.029 rounded to one dp? 64 Round 1.9856 to 2 decimal places. 1.99 What is -248130 rounded to the nearest 1000? -248000 Round -136.83 to the nearest ten. -140 What is -60.356 rounded to the nearest integer? -60 What is -0.00029049 rounded to 4 dps? -0.0003 Round -90.99 to the nearest 10. -90 What is 124.836 rounded to the nearest 10? 120 What is 5045000 rounded to the nearest one million? 5000000 What is 0.012076 rounded to 4 decimal places? 0.0121 What is -0.0006936 rounded to 4 dps? -0.0007 Round 0.30676 to three decimal places. 0.307 Round 0.0071207 to 3 dps. 0.007 Round -45525100 to the nearest one million. -46000000 What is -1164.5 rounded to the nearest 10? -1160 Round -2103 to the nearest one thousand. -2000 Round 0.000002013 to seven dps. 0.000002 What is -7.388 rounded to 1 decimal place? -7.4 Round -0.048299 to 2 dps. -0.05 Round -0.000005269 to five dps. -0.00001 What is -15401 rounded to the nearest 1000? -15000 What is -0.0000035657 rounded to seven dps? -0.0000036 Round -0.0002028 to 5 dps. -0.0002 What is 0.0000018311 rounded to 7 dps? 0.0000018 Round -5480 to the nearest one thousand. -5000 Round -0.0005655 to 4 dps. -0.0006 Round -2421000 to the nearest 100000. -2400000 What is 0.0003167 rounded to 4 decimal places? 0.0003 What is -0.068421 rounded to 3 decimal places? -0.068 Round -167.2 to the nearest 10. -170 What is 9784.3 rounded to the nearest one thousand? 10000 What is 30.894 rounded to zero decimal places? 31 What is 8.98 rounded to zero dps? 9 What is -488900 rounded to the nearest one hundred thousand? -500000 What is 0.00802 rounded to three decimal places? 0.008 What is -0.0000022734 rounded to 7 dps? -0.0000023 Round 0.00230019 to 5 decimal places. 0.0023 Round -2587.9 to the nearest 10. -2590 Round 28.01 to the nearest integer. 28 Round 0.018222 to 3 dps. 0.018 What is -0.000003899 rounded to six decimal places? -0.000004 Round 4204.93 to the nearest one hundred. 4200 Round 0.00000070261 to seven decimal places. 0.0000007 Round 0.0040006 to five decimal places. 0.004 What is -0.01353 rounded to three dps? -0.014 What is 0.01484 rounded to three dps? 0.015 Round -2.6408 to two dps. -2.64 What is 0.023623 rounded to three dps? 0.024 What is 103.67 rounded to the nearest 10? 100 What is -152790 rounded to the nearest ten thousand? -150000 Round -0.0000929 to 5 decimal places. -0.00009 Round -0.00861 to three dps. -0.009 Round 58.952 to 1 decimal place. 59 Round -0.01217 to four decimal places. -0.0122 What is -0.0066 rounded to 4 decimal places? -0.0066 What is -31.41 rounded to the nearest integer? -31 Round 0.00795 to 2 decimal places. 0.01 Round 602.5 to the nearest 10. 600 What is -104.494 rounded to 0 dps? -104 What is 226.896 rounded to the nearest ten? 230 Round 0.000008076 to seven dps. 0.0000081 Round -0.0000519 to 5 decimal places. -0.00005 Round 0.65573 to 1 dp. 0.7 What is 0.06865 rounded to 1 decimal place? 0.1 Round -0.01011 to 3 decimal places. -0.01 What is 0.0000012329 rounded to 7 dps? 0.0000012 What is 6450100 rounded to the nearest 1000000? 6000000 What is -7503500 rounded to the nearest ten thousand? -7500000 What is 0.000077715 rounded to five decimal places? 0.00008 What is -180000 rounded to the nearest one hundred thousand? -200000 What is 0.2398 rounded to 2 decimal places? 0.24 What is -4.699 rounded to 2 decimal places? -4.7 Round 19989 to the nearest one thousand. 20000 Round 0.8555 to two dps. 0.86 What is -0.0003433 rounded to four decimal places? -0.0003 Round 0.000036677 to seven dps. 0.0000367 What is 0.0288142 rounded to 3 decimal places? 0.029 Round 0.0000088 to 6 dps. 0.000009 Round -0.026222 to 3 decimal places. -0.026 Round -0.0000908 to 5 dps. -0.00009 Round -5.908 to the nearest integer. -6 Round -0.00000027365 to 7 dps. -0.0000003 Round -6187.5 to the nearest 1000. -6000 Round 2.603 to 2 decimal places. 2.6 Round -0.0671 to two dps. -0.07 Round -0.0000119467 to 6 decimal places. -0.000012 What is 0.0000084 rounded to 4 decimal places? 0 Round -0.966 to 1 decimal place. -1 What is 23.617 rounded to one dp? 23.6 Round -0.00014527 to five decimal places. -0.00015 Round 4695000 to the nearest one million. 5000000 What is -344782 rounded to the nearest 1000? -345000 What is 12245000 rounded to the nearest 100000? 12200000 What is 185726 rounded to the nearest one thousand? 186000 What is -0.00020219 rounded to six decimal places? -0.000202 What is 3039.03 rounded to the nearest 10? 3040 What is 932100 rounded to the nearest 100000? 900000 What is -0.000100936 rounded to 5 dps? -0.0001 Round 1.8777 to the nearest integer. 2 Round -0.001277 to 2 decimal places. 0 Round 27000 to the nearest 100000. 0 Round 2974.7 to the nearest 100. 3000 Round 2.91056 to one dp. 2.9 What is 5.289 rounded to 0 dps? 5 Round 84.64 to 1 dp. 84.6 What is -0.01565 rounded to four dps? -0.0157 Round -1619000 to the nearest one hundred thousand. -1600000 Round 0.02637 to 3 dps. 0.026 What is -8235700 rounded to the nearest 10000? -8240000 Round -602.58 to the nearest one hundred. -600 What is 0.015374 rounded to three decimal places? 0.015 What is 40676000 rounded to the nearest one hundred thousand? 40700000 What is 810 rounded to the nearest 1000? 1000 What is -0.001136 rounded to 5 decimal places? -0.00114 What is -0.0003814 rounded to four dps? -0.0004 Round 83600 to the nearest ten thousand. 80000 Round -0.00004522 to six decimal places. -0.000045 What is 79.959 rounded to 1 dp? 80 Round 0.001664 to three decimal places. 0.002 Round 107190000 to the nearest 1000000. 107000000 Round 465600 to the nearest 10000. 470000 Round 0.000007235 to 6 decimal places. 0.000007 Round -0.000222289 to 6 dps. -0.000222 Round 62.4 to the nearest 10. 60 Round -0.23582 to three dps. -0.236 What is 90.82 rounded to zero decimal places? 91 What is 1900 rounded to the nearest 10000? 0 What is 0.0121127 rounded to 5 decimal places? 0.01211 What is 0.04241 rounded to 2 dps? 0.04 What is 38.783 rounded to zero decimal places? 39 What is -29881.3 rounded to the nearest 100? -29900 What is -106300 rounded to the nearest ten thousand? -110000 Round -3.542 to the nearest integer. -4 Round -0.014415 to three dps. -0.014 Round 35.84 to 0 dps. 36 What is -10297 rounded to the nearest one hundred? -10300 What is 0.0000347947 rounded to six dps? 0.000035 Round 731.5 to the nearest one hundred. 700 What is 724.4 rounded to the nearest 10? 720 What is 3624500 rounded to the nearest one hundred thousand? 3600000 What is -2683 rounded to the nearest one thousand? -3000 What is 10663000 rounded to the nearest 100000? 10700000 Round 0.08911 to 2 dps. 0.09 What is -0.0000020125 rounded to 7 dps? -0.000002 What is -563.5 rounded to the nearest 100? -600 What is 6104 rounded to the nearest 100? 6100 Round 944100 to the nearest 100000. 900000 What is 45.7 rounded to the nearest integer? 46 Round 0.7052 to 1 dp. 0.7 What is 50.533 rounded to 1 dp? 50.5 What is -0.0566981 rounded to 4 decimal places? -0.0567 Round -0.00000513 to 7 decimal places. -0.0000051 Round 12811400 to the nearest 100000. 12800000 Round 6926000 to the nearest 100000. 6900000 Round 3.994 to 1 dp. 4 Round -0.001 to one dp. 0 Round 0.115951 to three dps. 0.116 What is 0.00007945 rounded to 6 decimal places? 0.000079 What is 0.00048 rounded to two dps? 0 Round 0.0003318 to five decimal places. 0.00033 What is -2661.45 rounded to the nearest 10? -2660 What is -0.034226 rounded to three decimal places? -0.034 Round 0.0086319 to five decimal places. 0.00863 Round -14335.5 to the nearest 100. -14300 Round -365770 to the nearest ten thousand. -370000 Round -0.000001184 to seven decimal places. -0.0000012
Evaluate (13 - (19 + -1 - (90 - 87))) + 52. 50 What is the value of (-13 + -2 + -1 - (-3366 - -3335)) + 20? 35 What is -10 - -4 - (26 + (1 - 1) + -5)? -27 21 - (-17 + (-19 - -35)) 22 What is the value of -41 + 23 - -150 - 26 - 26? 80 What is -59 + (-7 - (2 + -7)) - (42 + -40)? -63 Calculate 33 + -27 - 42 - 12. -48 What is (-1 - -2) + (-6 - 3 - 2) + 7? -3 Calculate (-19 - -1) + (-33 - (-84 + 37)). -4 7 + 505 + -456 + 1 + -4 + 3 56 -24 + 4 + (-63 - 38) -121 (76 - 65) + -24 + -3 + 31 + 24 39 What is the value of -45 - (-3 + (11 - 16) - -3)? -40 Calculate (-58 - (-1 + 3 + -1 + -3)) + -60815 + 60818. -53 -1221882 - -1221838 - (-1 + -12 + (1 - 0) + 1) -33 What is (74 - 203) + 137 + 0 + 0 + -1? 7 Evaluate (-135 - (-101 + -71)) + -102. -65 Calculate (2 - -8) + (-81 - (-10 - 48)). -13 What is -731 + 738 - (-1 - 22)? 30 582 + -609 + -3 + 0 -30 Evaluate -85 - (-68 - (61 - 70)). -26 (5 - -55) + (106 + -93 - (-1 + 15)) 59 Calculate 3 + (2 + (10 - -9 - -1) - 7). 18 Calculate -1 - (-9 - 3) - (-29 + 26 - -16). -2 Calculate -48 + 41 + 15 - (6 + -1). 3 -26 - (-5 - 31) - (43 - -10) -43 Evaluate -8 + -26 + 5 + -31 + 43. -17 167 - (470 + -264) - (1 - 99) 59 Evaluate (4 + -2 - 27) + 33 + 48 + -88. -32 (-1 - 9) + (60 - 37) + (22 - -19) 54 Calculate 2 - 3 - -8 - -2 - (-752 + 754). 7 10 + -47 + 20 - 19 -36 What is (0 - 11 - (-6 - 0 - -6)) + -7? -18 What is the value of -113 + 9 + (113 + -99 - (2 + 29))? -121 What is -25 - (-7 + 1 + 36 + -15) - (-8 + -2)? -30 Calculate 1 - 8 - (46 - 92) - (31 - 23). 31 Calculate (-248 - -146 - 18) + 242. 122 -14 - (17 - (92 + -20)) 41 0 + (-1 - -5) + 18 + 122 + 71 + -119 96 (-17 - ((40 - 45) + 27)) + 36 -3 Evaluate 0 - -10 - 1 - (104654 - 104612). -33 Evaluate -4 + 9 + -98 + (10 - -6) + 11 + -2. -68 -16 + -75 + 89 + -10 + 7 + -2 + 0 -7 Calculate (-7 - 5) + (17 - -4) + -3. 6 What is -1 - 6 - (2 - -99 - 134)? 26 -75 + -9 + 97 + -56 -43 Calculate -116 + 50 + 42 - (-2 + -31). 9 Evaluate 48 - (0 - (1 - 1) - (-33 + -20 - -60)). 55 What is (1 + 0 - 14) + -55 + -33 + 87? -14 What is the value of -1623 + 1594 - (1 - (-4 - 1))? -35 What is the value of (-5 - (8 - -18)) + 3 + 9 - -40? 21 Evaluate -5 + (1 - -2 - 1) + (-154 - -159) + -52. -50 Evaluate 54 - (0 + (24 + -46 - -7)). 69 What is the value of 9 + (-22 - (-15 + -12 - -8))? 6 What is 83 + (28 + 92 - 111)? 92 Calculate 7 + -16 + (7 - (19 + -12)) + -7. -16 What is 35 + (7 + (12 + -13 - -6) - 12)? 35 What is the value of 1 + 12 - (-19 + (24 - (22 - 38)))? -8 Evaluate (6 + -40 - 9 - -36) + (-1 - 62 - 1). -71 What is (215 + -125 - 60) + 1 + -80? -49 -86 + 73 - (3 + 12 - 8) -20 What is 224 + (-258 - (-23 - 109))? 98 Evaluate 4 + (-1 - -1) + 30 + (-27 - (11 + -55)). 51 Calculate -31 - (-52 + -10 + (18 - 33)). 46 Calculate -3365 + 3327 + 60 + -3. 19 Calculate 300 + -307 + (5 - (5 + -9 + -7)). 9 -16 - (96 + -42 - 60) -10 Calculate (2 - 3 - 30) + (-38 - (-25 - 26)). -18 Calculate 18 + -31 + 18 + (2 - 3 - 51). -47 Calculate 241 + -8 + -113 + -151. -31 (-1218 - -1245) + -4 + 0 23 Evaluate -65 - (119 - (-1 - -119)). -66 11 + 39 + (-6 - (10 + -16 - 3)) 53 Calculate (10 - 16) + (-29 - -91) + 4. 60 What is (-1 - (-17 - -6)) + 10 + -3 - 10 - 4? 3 What is the value of (95 + -33 - 127) + 67? 2 What is the value of -44 + -29 + (-17 - -60)? -30 What is the value of 17 - ((-43 - -3) + 107)? -50 What is 39 + (18 - -18 - 38)? 37 What is (256 - 265) + (-3 - 1 - ((-1 - -5) + 1))? -18 What is the value of -58 + -50 + 92 + (4 - (-30 + 2))? 16 What is -3 + -3 + 45 + 7 + -127 + 125? 44 What is the value of 0 + 5 - ((10 - 16 - 12 - -33) + -8)? -2 What is the value of (2 - -14) + -1 + -10 + 12 + -50? -33 What is 10 + (-125 - (29 + -130))? -14 What is the value of 0 + -17 + -97 + (11 - (-73 + 57))? -87 -8 + (78 - 58) + -2 + 2 + -53 -41 What is the value of 70 + -18 + (20 - 26)? 46 What is the value of 20 + (-20 - -1 - (-657 + 689))? -31 19 + -2 + (49 - 61) - (-11 - (-125 - -10)) -99 What is the value of 5 + (14 - -60 - 141)? -62 Calculate (1 + -29 - -57) + -32 + (-24 - 0). -27 What is the value of (-14 - (16 + -23)) + (2 - -74)? 69 What is 14 - 74 - -31 - (-1 + 5 - 4 - -11)? -40 What is the value of -1 + 2 - (-241 + 472 + -239)? 9 What is 2 - (-2 + -11) - (-1940 - -1964) - 5? -14 Calculate 1 - 12 - (90 - (92 - 84)). -93 Calculate -13 + -3 + 13 + -1 + 8 - -92. 96 What is the value of -45 + 14 + (43 - -46)? 58 -54 + 53 + (3 - (-10 + (-4 - -6))) 10 What is the value of -9 - (-7 + 14 - 5) - (-53 - (3 - -3))? 48 -88 + 98 + 1 + (-5 - (3 + -7)) + -43 -33 What is the value of -5 + (8 - 20) + 34? 17 What is -1 + -12 + (-590 + 590 - (-10 - 0))? -3 Evaluate -4 - -3 - (23 + (-9 - (11 + -3))). -7 227 - 264 - (-56 + -2) 21 -5 - (0 + (17 - 32) + (4 - 3)) 9 Calculate 0 + -18 + (-26 - -36). -8 -2 - (1 - -14) - (13 + (-35 - -12)) -7 Calculate -21 + (47 + 15 + -29 - -14). 26 (1 + 17 - (-157 + -4 + 60)) + -17 102 Calculate 28 - (4 + -30 - -15) - -70. 109 What is -6 + (3 - 1 - (-3 - (-2 + -7) - -3))? -13 What is the value of (68 + (-3 - 54) - (0 + -1)) + 35? 47 Evaluate (5 - (3 + (9 - 3))) + 165 + -273. -112 Calculate 6 + (27 - 19) + -59 - -28. -17 28 + 49 + -113 + -86 -122 Evaluate (13 - (78 + -49) - (1 - 1)) + 89. 73 Calculate (-26 - -1) + 10 + 33 + 48 - (-1 + 8). 59 Evaluate 10 - (26 + -7 + -40). 31 Calculate 38 + 0 + -1190 + 1140. -12 What is -53 - (-38 + 71 - 110)? 24 What is the value of (-2 - (6 + -10) - 4) + (-46 - 4) + 34? -18 (-26 - -4) + -43 + 9 -56 What is the value of -27373 + 27352 + 94 + -1 + 0? 72 What is 192 + -166 - (-7 - -18)? 15 Calculate -37 - (-26 + -6) - 3 - (-36 - 2). 30 Evaluate (2 - -1) + -5 + 15 + -11 - 44. -42 Evaluate 1 + 19 - (-200 + 221). -1 (158 - 265) + 109 - (31 - (0 - 1)) -30 What is the value of 7 - -36 - -4 - (-6 - (6 + (-16 - -8)))? 51 120 + 6 + -404 + 329 51 71 + -92 + 2 - (-2 - (0 + 0) - 8) -9 Calculate -1 + (4 - -26 - (2 + -16 - -12)). 31 Evaluate -2 + (0 + (16 - 9) + 1 - (-5 + -3)). 14 Calculate -46 - (13 - 0 - ((29 - -6) + -12 - 17)). -53 What is the value of 150 + -225 + 85 - (-1 - -80)? -69 Calculate 163 - 82 - 81 - -97. 97 Calculate -22 + 2 + 68 + -13 + -50 + 4. -11 What is (55 - (19 + 30)) + -43 + 8? -29 -1 + -10 + (-110 - -140) - -13 32 42 - (56 + (-16 - 33)) 35 What is (18 - -1 - (-16 + 26 - -3)) + 6? 12 21 + 12 + -23 - (6 + 4) 0 What is the value of 15 - -1 - ((19 - (54 - 8)) + 46)? -3 Calculate (-2 - -4 - 2) + (-331 - -334). 3 What is the value of (-5 - -4) + -9 - (-11 + (2 + -11 - -49))? -39 What is the value of (-2654 - -2762) + (-24 - (-8 + 4))? 88 What is the value of -12 - ((-1 + -1 - (-279 - -289)) + 23)? -23 -22 - (-27 - ((-81 - -22) + 20)) -34 What is 233 + 64 - 293 - (2 + -2 - (1 - 11))? -6 What is 22 + -14 - (34 + 52 + 0 + -2)? -76 What is the value of 10 - ((-19 - -7 - -20 - 22) + -2 + -8)? 34 Calculate (-86 - -64) + (3 - (-8 - -3)). -14 Evaluate 51 - (-35 + -19 + -33 + 77 + 0 + 20). 41 What is the value of -15 + -3 + 13 - (-10 + 24)? -19 Calculate 40 + -27 - ((0 - (-4 + -1)) + -12). 20 What is (10 - -1) + (-17 - (-7 + 1)) + -28? -28 Evaluate -4 + -80 + 0 + (-33 - (-4 + -27)). -86 Evaluate 2 - (-5 - -24) - (-87 - -16 - 16). 70 -9 + 1 - (-42 + (16 - (5 - -20))) 43 (-1 - 1 - (17 - (8 - -3))) + (-312 - -419) 99 Evaluate -11 + (-12 - -11 - -14) - 6 - -52. 48 (-6 - (-1 + (-2 - -2))) + (-377 - -411) 29 Calculate -2 + (-29 + 32 - (-13 + 9)). 5 What is 66 + -416 + 110 + 131? -109 -1 + 1 - (3 + 7) - (-49 + 64 + -21) -4 -23 - ((47 - 64) + (2 - 6)) -2 Evaluate 21 + 1 + (27 - -28 - 23) + 23. 77 Calculate -26 - (7 - -10 - 58 - 7). 22 (-10 - (-40 + (-14 - (5 + -11)))) + -11 + -5 22 Evaluate (7 - 3) + -15 - -25 - -14. 28 Calculate 53 + -18 + -16 + -1 + -23. -5 46 + 0 - -1 - 3 - ((71 - 43) + -30) 46 Evaluate (24 - -1) + (-1938 - -1923) + -76 + 0. -66 What is the value of 46 + (-19 - 20) - 16? -9 What is the value of 53 - (-13 - -3 - (6 + -2 - 3))? 64 Calculate -19 + 19 + 21 + (18 - 33) + -103. -97 Calculate (-1 - -11) + (11 - (13 + 19 + -30)). 19 What is the value of -11 + 0 + -2 - (46 + 55 + -129)? 15 (-1 - 14) + (707 - 726) -34 Evaluate (-28 - -15) + 9 + -6 - (-1 + 56). -65 (16 - 0 - (50 + -76)) + -19 23 What is the value of 27 + -1 - (-201 - -120 - -93)? 14 24 + -4 + (37 - (-11 + 22)) 46 Calculate (21 + -21 + -33 - 4) + (-8 - 6). -51 Calculate -3 + 11 + (-17 - (15 - 17 - -1)) + 55. 47 Evaluate 43 - (3 + 1 + -9 + 1 + 12). 35 Calculate (-40 - 78) + 28 + 25. -65 Calculate -79 + -12 - -94 - (1 + 2 + 30). -30 Calculate -66 - (87 + -104) - -103. 54 Evaluate 112 - -6 - (24 - (39 - 39)). 94 Calculate 6 + 7 + -23 + 70 + -22. 38 Calculate -7 + 3 - (-9 - (12 + -25)) - -89. 81 623 + -566 + (18 - 9 - 6) 60 What is the value of 0 + (26 - (-7 + 29)) + (1 - 1) - -13? 17 -46 + -4 + (748 - 642) 56
Suppose -3*w + 4*y = 31, 3*w + 2*y + 7 = -0*w. Let k = -3 - -5. Let t = 0.1 - 0.1. Which is the biggest value? (a) k (b) w (c) t a Let v be (-16)/3 - (-1)/3. Let n = -1/187 - 933/374. Which is the third biggest value? (a) 2/7 (b) n (c) v c Let d = 0.079 - -17.421. Let w = -17 + d. What is the smallest value in 0.4, 5, w? 0.4 Let h = 251.06 - 249. Let v = h - 0.06. Let g = -0.7 - -0.2. Which is the second smallest value? (a) v (b) g (c) -0.4 c Suppose -8*l + 5*l - 6 = 0. What is the third smallest value in 0, 5, -2/11, l? 0 Let t = 0.4 + -0.5. What is the smallest value in 0.5, -2, t? -2 Let s = -14 + 27. Which is the second smallest value? (a) 1 (b) -0.3 (c) s a Let u = 3 + -8. Let l = -266 + 268. What is the smallest value in u, l, 0.3? u Let n = 2 + -2.7. Let m = 8 - 8.8. Let l = m - n. Which is the smallest value? (a) l (b) 0.3 (c) -3 c Suppose 0 = 3*f - x - 1 - 6, -4*x = 5*f - 23. Suppose 2*z - 4 = -4*k, -35 = -f*z + 8*z + k. Let i = z + 9. What is the third biggest value in -0.2, -0.5, i? -0.5 Let j = 0 + 1. Let h = 4.8 - -0.2. Let t = h - 1. What is the third biggest value in j, -1, t? -1 Let b = -274 - -279. Let t = 0.5 - 1. What is the second biggest value in b, 3, t? 3 Let k be -7*(180/14)/3. Let i be (1/(-4))/(5/k). Let h be (6/3*1)/(-7). What is the third biggest value in h, i, -0.3? -0.3 Let z be 6*8/(-24) - 9/(-4). Suppose 2*b + 12 = 6*b. What is the second smallest value in b, 3/8, z? 3/8 Suppose 30 = 10*x - 4*x. Let w = -0.04 - 0.36. Which is the biggest value? (a) 3 (b) x (c) w b Let r be 1/6*(11 - (5 - -2)). Which is the smallest value? (a) -5 (b) -1 (c) r a Let j = 0.08 - -0.12. Which is the smallest value? (a) 0 (b) 0.3 (c) j a Let l be (-4)/10 - 124/(-10). Let d = -12 + l. What is the second smallest value in -2/7, d, 2/5? d Suppose 0*x + 7 = x. Let z be 6/9*3/x. Let j = -0.32 - 0.68. Which is the biggest value? (a) j (b) 1 (c) z b Let y = -73/4 - -18. Let j(w) = -2*w**3 - 8*w**2 - 7*w - 8. Let l be j(-3). Which is the smallest value? (a) 1/8 (b) y (c) l c Let a = -17 + 0. Let u = a - -8. Let f = u - -10. What is the second biggest value in 1/6, f, 4? f Suppose 784 = -2*r - 2*r. Let o = -1768/9 - r. Let x = 0.048 - -0.452. Which is the biggest value? (a) o (b) -1 (c) x c Let u = -145 + 1887/13. Let y be (-18)/(-264) + (-2)/8. Which is the third biggest value? (a) y (b) -0.5 (c) u b Let l = -7/33 + 1/22. Let x = -81 + 647/8. Let j = 517/91 + -72/13. Which is the smallest value? (a) j (b) l (c) x b Let q = 5.7 + -5.2. Let h = 0.79 + 0.01. Which is the second smallest value? (a) -0.3 (b) q (c) h b Let w = 12.6 + -7.6. Let c = -0.1 - -0.2. What is the second biggest value in w, 0.3, c? 0.3 Let m = -5 - -4.7. Let p = -0.7 - -0.2. Let s = 0.4 + p. Which is the third smallest value? (a) s (b) m (c) 3 c Let o = -181/4 - -45. What is the third biggest value in 4, -2, o, 0.3? o Let t = -5.03 - -5. Let b = t - -3.03. Let o = 1 + 1. What is the third biggest value in 0.1, o, b? 0.1 Let q = -14 + 27. Which is the fourth biggest value? (a) 5 (b) 0.3 (c) q (d) -3/4 d Let h = -1 - -1. Let k = h - -3. Suppose -3*g + 9*g - 24 = 0. Which is the smallest value? (a) k (b) 0 (c) g b Let h(x) = x**2 - x - 3. Let s be h(5). Which is the second smallest value? (a) -3/7 (b) s (c) -3/2 a Let m = -4 + 4.6. Let j = 0.5 - m. Let d be 0 + 1 + (-25)/15. Which is the second biggest value? (a) -0.2 (b) j (c) d a Let m = 0.055 + -0.055. Which is the third biggest value? (a) m (b) -0.5 (c) -3 c Let z = 6 + -3. Let t(i) = -3*i + 31. Let c be t(12). What is the second smallest value in -0.05, z, c? -0.05 Let a = -0.9 + -0.1. Let o = -36 + 38. What is the second smallest value in o, -1/4, a? -1/4 Let a = -59.7 + 60. Let p be (-1)/(-2) + 1/2. What is the second biggest value in p, -0.2, a? a Let u(w) = -w + 2. Let n be u(-2). Which is the biggest value? (a) -4 (b) 2/5 (c) n c Let t be 43/(-130) + 1/2. Let x = -2/1849 - -3828/120185. Let f = t + x. Which is the third biggest value? (a) 2/11 (b) f (c) -2/7 c Let k = 13 - 38/3. Let n = -2 - -2. Let z = 0 + n. Which is the third biggest value? (a) k (b) -0.4 (c) z b Let z = -1.3 + 0. Let y = -0.3 - z. Which is the third smallest value? (a) -3 (b) 0.3 (c) y c Let f = -2.7 - -0.7. Let y = f + 1.2. Let k = y + 0.3. Which is the third smallest value? (a) -4 (b) 2 (c) k b Let u = 8 - 11. Let l be 3 + (-4)/22 + u. What is the second biggest value in -5, -4, l? -4 Let j be ((-12)/(-48))/(2/(-2)). Which is the second smallest value? (a) 10 (b) 1 (c) j b Let v = 1/7 + -3/7. Which is the biggest value? (a) -4 (b) v (c) -1 b Let l = 177 - 178.8. Which is the biggest value? (a) -3/2 (b) l (c) -0.5 c Let c = 50 - 47. What is the smallest value in c, 0.5, -4? -4 Suppose 2*p + 6 = -4. What is the second smallest value in -4/7, 2, p? -4/7 Let h = 4.02 + -0.02. Let j = h + -3. Suppose -3*l + 12 = -6*l, -5*l = -z + 25. What is the smallest value in j, -1/9, z? -1/9 Let n be -1 - (-3 - 0) - -2. Suppose u = 3*u - 16. Let s = n - u. What is the second smallest value in s, 0.4, -0.2? -0.2 Let v be -7 + (-2 - 0 - -1). Let i be (-6)/v - 34/8. Let j = i + 165/46. Which is the third smallest value? (a) j (b) 0.1 (c) 1 c Let d = -1.7 - 0.3. What is the biggest value in d, -2/7, 0.2? 0.2 Let j = 6 - -2. Let o be (1/2)/(j/6). Which is the third biggest value? (a) 4 (b) o (c) 0.1 c Let g = 1 + 2. Suppose g*q = -6 - 0. Let m be q/(-5) - (-1 + 1). What is the third smallest value in m, -0.1, 0.1? m Let p = -0.4 - 0.6. Let r = -3 + 3. Let s = p + r. Which is the second biggest value? (a) 2 (b) s (c) 0.4 c Let x = -5.89 - 0.11. Let z = 9 + x. Let q = 0.14 - -0.06. What is the second smallest value in -1/4, q, z? q Suppose 6 = -5*w + 2*w. Let l = 0.2 + 0.8. Let f = 0.9 - l. Which is the biggest value? (a) w (b) -5 (c) f c Let y(h) = -h**3 - 16*h**2 - 1. Let k be y(-16). What is the fourth biggest value in 0.2, -4, 1/7, k? -4 Let s = -26 + 8. Let g = s - -23. What is the biggest value in g, -4, -2? g Let l be 87/18 - 1/3. Let k = 5 - l. Let p be (-2)/6 + (-14)/(-6). Which is the smallest value? (a) p (b) k (c) 3 b Let t = 4.8 + -10.8. What is the biggest value in 2/7, 2, t, -0.5? 2 Let x = -0.43 + -24.57. Let f = x + 18. Which is the third smallest value? (a) 1 (b) f (c) 4 c Suppose -4*q + q - 45 = 0. Let x be 2/6 + 42/9. Let i be 2/q - 1/x. Which is the second biggest value? (a) -4/3 (b) i (c) 0.2 b Let z = -8.94 + -0.06. Let g = 30 + -44. Let n = g - z. Which is the second biggest value? (a) -0.4 (b) 0.1 (c) n a Let w = -1080 + 1075. Let j(l) = -l**3 - 4*l**2 - 2*l - 4. Let p be j(-4). Which is the biggest value? (a) w (b) p (c) -1 b Let z = 3.8 + -0.8. Let x = 31.6 + -32. Which is the biggest value? (a) x (b) 0 (c) z c Let b be (-11)/(-5) + 3/(-1). Let v = b + 1/20. What is the third smallest value in -0.06, v, 4? 4 Let p = -20 + 14. Let d be (1/3)/(p/(-24)). Let n = 0.2 + -0.3. Which is the second biggest value? (a) n (b) -5 (c) d a Let h = -0.15 + -0.15. Which is the biggest value? (a) h (b) -4 (c) 0 c Let h = 250 + -4248/17. Let m = -42 - -127/3. Which is the third smallest value? (a) -4 (b) m (c) h b Let v = -2.8 + 2. Let y = v + 3.8. Suppose -4*k + 2*k = -4. Which is the third biggest value? (a) k (b) 4/5 (c) y b Let p = 3.4 - 3. Let z = -12 - -20. Suppose 3*r - z = 4*s - r, 5*s + 10 = 2*r. What is the third smallest value in p, s, 0? p Let r = -31 - -31.2. What is the biggest value in 14, r, -2? 14 Let f = -8/3 + 4/3. Which is the fourth smallest value? (a) f (b) 2/9 (c) 3 (d) 4 d Suppose -3*w + 26 = -5*t, t + 2 = 3*w - 4*w. Let u = -1 + t. Let d = -12 + 8. Which is the smallest value? (a) d (b) u (c) 3 b Let m(p) = 2*p - 7. Let l be m(6). Let z = 8.83 - -0.17. Let y = 9.5 - z. Which is the second biggest value? (a) l (b) -5 (c) y c Let h = 0.41 + -0.3. Let t = -3.89 - h. What is the third smallest value in 1, t, -0.3? 1 Let o = 0.0376 + 13.7224. Let k = o + -11.8. Let j = -0.04 - k. Which is the smallest value? (a) 0 (b) j (c) 4 b Let y = -11.9 + 12. Let h(s) = s - 8. Let u be h(6). Which is the third biggest value? (a) y (b) u (c) -2/15 b Let f be (2/4)/(33/(-6)). Let o(d) be the third derivative of d**4/8 - d**3/2 - 3*d**2. Let k be o(2). What is the smallest value in f, 2/9, k? f Let k = -26 + 18. Let v = k + 13. Which is the third smallest value? (a) -2 (b) v (c) -3 b
Let y = -62640960/11 + 1257403747/220. Let g = 20834 - y. Calculate the common denominator of g and ((-2)/(-72))/(1/(-166)). 180 Let m = -2854 - -525115/184. Let w = 11471/552 + m. Calculate the common denominator of (-104)/6*2/24 and w. 9 Let f = -561 + 3353/6. Suppose 60 = 2*p - 0*p. Find the common denominator of (p/(-8))/((-12)/(-15)) and f. 48 Let z(a) = a**2 + 5*a - 4. What is the least common multiple of z(-6) and 1 + -2 - 4/(-1)? 6 Suppose 4*p - 4*l = 4, -2*p - 3*l = -0 - 2. What is the smallest common multiple of p and 6*1 + 0/1? 6 Let d(z) = -z**3 - 3*z**2 + 3*z + 1. Let g be d(-4). Let a = 3 + g. What is the least common multiple of 8 and a? 8 Let w = 20 - -5. Let m = 41 - w. What is the least common multiple of m and 8? 16 Let h(q) = q**2 + 2 + q**2 - 5*q**2 + 1 - 3*q - q**3. Calculate the smallest common multiple of 4 and h(-3). 12 Let y be (-30)/279*1*12. Let m = -3717/310 - y. What is the common denominator of 102/20 - (-2)/2 and m? 10 Let p(l) be the second derivative of -l**3/2 - l**2/2 - 5*l. Calculate the lowest common multiple of p(-4) and 5. 55 Let w = 2801/2 - 1427. Let b = -1508/5 - -6021/20. Find the common denominator of b and w. 20 Let g be (0 - 3)*(-7)/(-1). Let y be 7/(-3) - 7/g. Find the common denominator of (-726)/60 + y/(-5) and 17/16. 80 Let y = -267 - -5875/22. Find the common denominator of 35/8 and y. 88 Let a = 127/16 - 233/16. Let f(t) = -t - 1. Let l be f(-3). Find the common denominator of a and l*10*(-12)/(-32). 8 Find the common denominator of 1/(-3) + 58/120 and (-234)/(-3)*1/(-4). 20 Suppose -r = -i - 3*i - 34, r - 29 = -i. What is the least common multiple of r and 20? 60 Calculate the common denominator of 101/10 and (26/(-25) + 1)*206/4. 50 Suppose -3*l - l = -8. Let u = 2 + l. Suppose 0*c - 5*y = 2*c - 13, -y - 59 = -u*c. What is the least common multiple of c and 8? 56 Let k(o) = -9*o**3 - 2*o**2 - 3*o - 2. What is the smallest common multiple of k(-1) and 8? 8 Let x = -38 + 27. Let s = 20 + x. Calculate the lowest common multiple of 1 and s. 9 Let g = -830 - -5787/7. Calculate the common denominator of 59/9 and g. 63 Let n = 424 + -917/2. Calculate the common denominator of -67/8 and n. 8 Let m = 3429/4 - 839. Find the common denominator of m and ((-2)/(-27))/(4/(-75)). 36 Let j = 0 + 7. Suppose -3*b + 18 = -3*i, -4*i + b = -2*b + 21. What is the least common multiple of (-2)/2 + (-27)/i and j? 56 Suppose -2*q - 16 = -h, 3*h + 4*q + 1 + 1 = 0. What is the smallest common multiple of 18 and h? 18 Find the common denominator of -17/9 and 2 - 1 - (-304)/(-36). 9 Suppose 5*y = 5*x + 80, -3*y = -y - x - 36. What is the least common multiple of y and 88/5 - 2/(-5)? 180 Suppose -4*d + 1481 = 3*k, 1175 = 2*d + 4*k + 447. Let a be (720 - 1)*(-5)/10. Let x = a + d. Calculate the common denominator of -125/18 and x. 18 Let a be 0*(3/(-6) - -1). Suppose -5*p + 132 - 32 = a. Let b = -15 - -27. What is the lowest common multiple of b and p? 60 Let n = 7/972 - 2329/972. Find the common denominator of n and 91/24. 72 Let r = -54951/4526 - -798/73. Let k = r + -727/155. Find the common denominator of k and (-303)/126*2 + (-7)/21. 70 Find the common denominator of 88/(-96) + (-3)/4 and 29/10. 30 Suppose -3*o + 0*o = 2*v - 19, -4*v + 28 = 4*o. Suppose 0 = a - v*s - 1, 2*a + s = -3*s + 10. What is the least common multiple of 7 and a/(-2)*(-2)/3? 7 Let f be 162/2*(-16)/(-24). Suppose -4*z + f - 14 = 0. What is the lowest common multiple of z and 8? 40 Suppose -4*t - t = 10. Find the common denominator of (-29)/(-20) + (-8)/(-20) and (-380)/88 - (0 + t). 220 Let y = 981415/66162 + -2/11027. Let l = -270697920 - -510265596326/1885. Let f = -11/754 - l. What is the common denominator of y and f? 30 Find the common denominator of 1/18 and (-3)/27 - (-7030)/900. 90 Suppose -3*j + 2 = -3*f + j, -12 = -4*f - 2*j. Suppose -5*q + 3*v = 45, f*q + v + 17 = 2*v. Calculate the common denominator of q and 2/6 - (-298)/(-12). 2 Suppose -3*h + 9 + 15 = 0. Suppose -u - 4*p - 2 = p, 0 = u - 5*p - h. Suppose 5*d = -g + 35, u*d - 38 = -3*g - g. What is the least common multiple of 4 and d? 12 Let z(v) = -v**3 - 6*v**2 - v - 2. Let w be z(-6). Let l be w/(3/(-6)*2). What is the smallest common multiple of 5 and 16/6*(-6)/l? 20 Let n(j) = 2*j**2 - 14*j - 16. Calculate the least common multiple of n(10) and 60. 660 Suppose x - 3*v = 11, 0*x = -2*x + 4*v + 20. Suppose 0 = -5*u + 2*u + 24. Calculate the lowest common multiple of x and u. 8 Suppose -4*k - 15 = -3. Let y = 0 - k. Suppose 3*l + 3*t + 18 = -0*t, y*l = t - 6. Find the common denominator of l and 33/5. 5 Suppose 0 = -3*y - v + 2*v - 29, -2 = -v. Let n(t) = -t**3 - 9*t**2 + t + 12. Calculate the least common multiple of n(y) and 7. 21 Let f(g) = 2*g. Let b be f(-1). Find the common denominator of (b - -2 - 15) + -2 and 71/3. 3 Suppose 6*a - 221 = 1015. Calculate the smallest common multiple of 8 and a. 824 Let b be (35342/(-35364) + 1)*8397. Let o = 3633226/421 + -8630. Let p = b + o. What is the common denominator of p and 85/22? 154 Let z = 65/48 - -715/48. Calculate the common denominator of 0 - 3/6*-3 and z. 4 Let x(h) = h + 0*h + 2 - 6. Let u be x(7). What is the least common multiple of 10 and u/1 + 4/4? 20 Let f(v) = v**3 - v - 1. Let x be (-7)/(-28) + (-2)/8. Let z be f(x). What is the common denominator of -127/6 and z/(-4) + (-31)/(-2)? 12 Find the common denominator of (-59)/(-4) - 6/(-2) and 17/8. 8 Suppose 42 = 3*y + 2*l - 8, 3*l + 2 = y. Calculate the lowest common multiple of 14 and y. 14 Suppose -65 = -5*u + 5*x, 4*u - 2*x = 51 - 7. Calculate the smallest common multiple of 10 and u. 90 Let b = -111846/17 + 3349787751/509150. Let y = b + -344803/3773700. Let h = 1/28 + y. Calculate the common denominator of h and -17/22. 198 Let m = 481/24 - 56/3. Find the common denominator of m and 25/9. 72 Let n = 24 - 20. What is the smallest common multiple of n and 7? 28 Suppose -3*y + 0*j + 31 = -5*j, y - 2*j = 12. Let l be (14*1*1)/y. Suppose -l*c = -2*c - 45. Calculate the lowest common multiple of c and 6. 18 Suppose 4*q - 3*k = 88, 63 = 3*q - 5*k - 14. Suppose 4*c = 13 + q. What is the least common multiple of 14 and c? 56 Suppose 4*z = 9*z - 20. Let d(f) = 3*f - 8. What is the least common multiple of 8 and d(z)? 8 What is the least common multiple of (8 + 3)/(1/2) and 12/9*(-12)/(-8)? 22 Let m(b) = -b + 5. Calculate the least common multiple of m(-7) and 14. 84 Let i(b) = b**3 + 7*b**2 + 4. Let y = 60 + -40. What is the least common multiple of i(-7) and y? 20 Calculate the least common multiple of 10 and (-53)/(-11) - (-2)/11. 10 Let n(d) = 3*d - 10. Let t be n(5). Let s(l) = -2*l + 7. Let j be s(-5). Suppose -t*c - j + 87 = 0. What is the lowest common multiple of 11 and c? 154 Let d(z) = z + 4*z - 1 + z**3 + z**2 - 6*z. Calculate the smallest common multiple of d(2) and 1/(-3 + 56/18). 9 Suppose -6 = -5*d + 24. Suppose 0 = -13*x - 5*x + 288. Calculate the least common multiple of x and d. 48 Suppose -9*m = -14*m + 90. Let b(u) = u**2 - 4*u + 5. Calculate the least common multiple of m and b(5). 90 Let t be 0/((-4)/2 + 1). Let c = 2 - t. Calculate the least common multiple of 18 and c. 18 Let w be 7 + -9 + 110/21. Let r = -145/168 + w. Calculate the common denominator of -11/12 and r. 24 Let s(c) = 0*c**2 + 0*c + 6*c - 2 - 2*c**2. Let j be s(4). Let o = -5 - j. What is the lowest common multiple of 8 and o? 40 Let p(u) = -3*u**2 - u + 5 + 2*u**2 - 3 + 0*u**2. What is the least common multiple of p(0) and 6? 6 Let p(t) = -t**3 + 2*t + 1. Suppose -36 = -0*l - 9*l. What is the least common multiple of p(-2) and l? 20 Suppose 2*a - 7 - 5 = 0. Let j be a - 3 - (-12)/(-2). What is the smallest common multiple of 4 and 13 - j/(-1) - 0? 20 Let n be ((-1)/(-50))/((-4)/(-4330)). Let a = n + -286/15. Calculate the common denominator of a and 127/24. 24 Let k = -8 - -11. Suppose -2*q = 2*t - 12 - 6, -3*t + k = -5*q. What is the smallest common multiple of t and 5? 30 Let v = -9 - -14. Let k = 25 + -14. What is the lowest common multiple of v and k? 55 Find the common denominator of 47/166 and 1 + (-29)/28 - (-4)/14. 332 Suppose 0 = -27*p + 29*p - 20. What is the least common multiple of p and 11? 110 Let k(c) = c**3 - 18*c**2 + 20*c - 33. Let f be k(17). Let t = 1 + -1. What is the common denominator of -59/2 and (-21)/f - (t - 1)? 6 Let h(i) = -42*i - 2. Let b be h(-5). Let j = b + -105. Find the common denominator of -67/4 and j/(-4)*-1 - 1. 4
Let b = -195 - -198. Solve 2*m + 4*h - b + 33 = 0, -4*h - 25 = m for m. -5 Let j(i) = 8*i**2 + i - 2. Let h be j(-1). Suppose h*d + 9 - 34 = -5*s, 4*s + 7 = 5*d. Solve -s*x + 4*o = -6*x - 12, 0 = 3*x - 4*o - 5 for x. -1 Let p = -25 + 55. Let d = -28 + p. Solve -d*r = -5*i - 16, 4*r = -3*i + 5*r - 9 for i. -2 Suppose 4*z + 8 = j - 7, -2*j = -z - 9. Suppose s + 4*d + 9 = 0, 5*d - 2 - 8 = j*s. Let t = 7 + s. Solve -x - 7 = -4*g - 0*g, 0 = -t*g - 4*x + 8 for g. 2 Let q be (-4)/2 + 10/2. Suppose q*v - 11 + 5 = 0. Solve -3*u = 3*m - 3, -v*u - 2*m + 1 = -u for u. 1 Let c(f) = -f**2 + 19*f + 68. Let x be c(22). Solve -u + 1 = -3, 0 = x*q - u + 12 for q. -4 Let o = -276 - -281. Solve -4*d + o*l = 22, d + 4*l + 1 = 6 for d. -3 Let o(u) = -5*u - 25. Let t be o(-5). Suppose 7*v + 4 - 46 = t. Solve b - 3*b + v = 2*g, -4*b + 5*g = 6 for b. 1 Let b(f) = -19*f - 129. Let i be b(-7). Solve -l - 2*y - 5 = 0, 0 = l - 2*y + i - 3 for l. -3 Suppose 4*y = s - 309, 243 = -y - 2*y - 3*s. Let q = y - -78. Solve -2*g - 2*m = 2, g - m + 1 + q = 0 for g. -1 Suppose -2*z = z + 2*s - 9, -20 = -z + 5*s. Solve -4*k + 4*q + z = -k, 14 = 5*k - q for k. 3 Let w be (1 + (-4)/6)/(175/4725). Solve 0 = -q + k - w, -17 = 5*q + k + k for q. -5 Suppose -209 = -5*q - 184. Solve m - h - 7 = 0, -6*m + m - q = 5*h for m. 3 Suppose 0 = 3*l - 1 - 2. Let d be 5/(20/12)*l. Solve 5*w - 1 = 3*b, -2*b = -d*b - 4*w - 6 for b. -2 Suppose 0 = -2*u - 44 + 10. Let o = 25 + u. Suppose -n + 2 + 2 = 0. Solve 8*w = -5*i + 3*w + 15, -n*w = o for i. 5 Let r be 3*9/((-108)/56). Let a = -13 - r. Suppose 6*h = 31 - a. Solve 5*c = 2*o - h, o + 1 - 4 = 2*c for o. 5 Suppose -4*p - 2*j + 20 = 0, 2*p = 4*j - 3*j + 18. Suppose f = -0*f + p. Suppose 4*x = f + 1. Solve 3*b + 20 = 7*b + x*t, 0 = -b - 2*t + 5 for b. 5 Let w be (-32)/24 - (-1)/3. Let j be ((-18)/(-30))/(w/(-15)). Let n = -7 + j. Solve 5*b = 2*o + 30, n*b + b + 5*o = -13 for b. 4 Suppose 29 + 27 = -4*v - 4*y, 4*y - 32 = 4*v. Let w = v + 20. Suppose 3*o - 3*g = 15, -2*o + g + 0*g + 14 = 0. Solve -n + 4*n = -3*c - o, -4*n - w = 3*c for n. 0 Let f(c) = -116*c - 1273. Let o be f(-11). Solve o*y - 6 = a + 5, -30 = -5*a - 2*y for a. 4 Let u(r) be the first derivative of 4*r**3/3 - 5*r**2 + 6*r + 5. Let c be u(4). Solve -5*k = -i + c, -5*i + 18 = 2*k + 3 for k. -5 Suppose -31*g + 147 = -101. Solve -3*d + g*d - 4*j = -30, -5*j + 17 = 4*d for d. -2 Suppose 0 = 5*d + 4*t - 25, -5*t + 20 = 3*d + d. Let b be 8 + 1 - 2/1. Solve -s = o + b, d*s + 25 = -3*o + s for o. -3 Let t = -155 - -159. Solve -j = 1, -2*l = 2*l + 4*j + t for l. 0 Let q = 934 - 929. Solve -2*z + 3 = 3*u, -2*z + q = 5*u + 2*z for u. 1 Suppose -10 = 16*t - 18*t. Solve -o + 7 = -5*j, -t*j - 16 = -0*j + 2*o for j. -2 Suppose 2*t - 42 = 2*g - 4*g, 5*g = 5. Suppose 0 = l, -q - 70 = -3*q - 3*l. Let y = q - t. Solve 0 = -2*f - 6, -3*i = -6*i - 3*f - y for i. -2 Suppose -18 = -5*i - 8. Suppose -2*d + 24 = -5*o, -i*d - 2*d + 4*o + 36 = 0. Suppose -2*f = -d*f. Solve 4*w + 2*q = -q + 12, -q = f for w. 3 Let k = -1 + 6. Suppose -3*x + 36 = 4*u + x, 19 = 3*u + x. Suppose u*s = -3*j + 10, -j - s = -3*j + 11. Solve -2*o + 3*q + 18 - k = 0, -j = -4*o - q for o. 2 Let a = 28 - 39. Let k(z) = z**3 + 10*z**2 - 11*z + 12. Let l be k(a). Let n = -10 + l. Solve 5*o + 29 = -2*s, 6*s - n*o = s for s. -2 Let v(w) = -w**3 - 14*w**2 - w + 1. Let z be v(-14). Suppose 32 = z*c - 16*c. Let i = -9 - c. Solve k - i = -2*k - 5*b, 5*b = k + 19 for k. 1 Suppose 2*r + 2*w = 18, 4*r + 5 - 31 = -2*w. Solve -2*c + 6 = 2*a, r*c + 5*a = -0*c + 17 for c. -2 Suppose 12*b - 5*b = 35. Suppose -2*q + b = -q. Solve 5*r = -q*s + 15, r - 8 = -3*s - r for s. 2 Suppose 0 = -5*b + 16 + 4. Let j be 4/(b/12*3). Solve 0 = -6*z + 2*z + 4, 2*c = -j*z - 6 for c. -5 Let d = 646 + -636. Solve 4*u + 4 - 20 = 2*t, 0 = -5*t - d for u. 3 Suppose 0*g + z = g + 29, 0 = 3*g - 5*z + 79. Let l = -29 - g. Solve l*t + 4*n = -0*t - 32, 2*n - 2 = 4*t for t. -3 Let q(v) = -v**2 - 9*v - 3. Let m be q(-6). Solve 5*p = 5*y + 5, 5*y - m = -5*p - 40 for p. -2 Suppose -5*w - 6 = -7*w + 2*f, -5*w = -4*f - 14. Solve 5*j - w*z - 20 = z, z = -2*j + 8 for j. 4 Let o = 32 - 27. Let r = 150 - 148. Solve -y = r*g + 1, -5*g - o*y = -3*g - 3 for g. -1 Suppose 27*m - 57 - 24 = 0. Solve 4*w + 23 = -m*t, 8*t - 3*t = w for w. -5 Let p be (42/12 + -1)/((-4)/(-8)). Solve 4*v - i = 8, -3*v - p*i = -0*v - 29 for v. 3 Suppose f = 2*f + 5*g - 29, -5*g = -4*f - 9. Suppose f = 5*o - 6. Solve -z - 4*j + 0*j = 24, -4*j - 12 = -o*z for z. -4 Let c = -10 - -24. Let u = c + -11. Let f(y) = 2*y - 2. Let r be f(u). Solve -4*z + r = -s, z - 7 - 15 = -5*s for z. 2 Suppose f + z - 1 = 0, 0 = -3*f + 7*f - 2*z + 14. Let y be f*(-4 - (-9)/6). Solve 1 = -x + 4*c - y*c, -c - 3 = 3*x for x. -1 Suppose -20*y + 66 = 6. Solve -t = -3*t - m - y, t - 5*m - 4 = 0 for t. -1 Let q(t) = -6*t + 2*t**2 + 4*t + 2 - 2*t. Let m be q(2). Let h(u) = -u**2 + 43*u + 2. Let k be h(43). Solve 0 = 2*j - v + 8 - k, m*j - 2*v = -4 for j. -4 Suppose -28 + 78 = 10*c. Let r be c + -4 + (7 - 5). Solve r*y + 5*p = -29, -9 = 5*y + p + 10 for y. -3 Let q(a) = -a**3 + 8*a**2 + 11*a - 31. Let o be q(9). Let l = o - -16. Solve u - l + 1 = -c, 22 = c + 5*u for c. -3 Let o = -2136 - -2139. Solve 0 = -2*i - j + 9, 0*i - j + o = -i for i. 2 Let s(d) be the second derivative of 11/2*d**2 + 0 + 4*d + 1/6*d**3. Let n be s(-9). Solve n*z = -2*l - 14, -l - 3*l = z + 22 for l. -5 Let b be (-1)/(-11) + 2 - (-6)/(-66). Solve 3*o - 5*y - 14 = 0, 2*o + 4*y = -b + 4 for o. 3 Suppose 4*g - 59 + 19 = 0. Solve v - f = -2*v - 7, 3*f = -2*v + g for v. -1 Let k(d) = -3*d + 13. Let x be k(3). Let u be 8 - 0 - 20/10. Solve y = -n - x*y - 20, -u = 2*y for n. -5 Suppose -i = -5*i + 8. Let o(t) = -10*t**3 - t + 2. Let z be o(1). Let n = -6 - z. Solve n = w + i*d, 0 = 5*w - 4*d + 24 + 17 for w. -5 Suppose -50 = 4*c + c. Let x(k) = k**3 + 10*k**2 - 3*k - 9. Let j be x(c). Let p = j - 19. Solve 3*z + 4*a + 15 = 4*z, 14 = p*z - 4*a for z. -1 Let t be -3 + 49/8 + (-11)/88. Solve -3*v - t*a = -11 - 10, 5*a - 23 = v for v. 2 Let k = -30 - -3. Let b = k - -29. Solve 4*m - 8 = -s, -b*m + 2 = -m - 4*s for m. 2 Let h = -147 + 151. Solve h*v + 5*c + 5 = 0, 5*c = 3*v + 2*v + 40 for v. -5 Suppose 5*n = -3*b + 5, -3*b - n - 3 = -4. Suppose b = -3*z - 0*z. Solve 0 = -5*y - 5*w + 20, 0 = -z*y + 5*y + 2*w - 8 for y. 0 Suppose 3*t + 13*u = 12*u + 52, -5*t = -5*u - 60. Solve 2*k + 7 = 3*d, 2*k + 2*k = t for d. 5 Suppose -4*n - 17 + 117 = -5*s, -n + 4*s + 36 = 0. Solve 3*d + h - 3*h = -19, -2*d + 5*h = n for d. -5 Suppose -4*a + 16 + 96 = 0. Solve 5*x = -m - 0*x - 20, x + a = -5*m for m. -5 Let d(s) = 7*s + 5. Let l be d(0). Let f = -81 - -81. Solve l*b - 24 + 9 = -5*v, -b = f for v. 3 Suppose 9 = 5*x - 6. Let c be (-52)/(-14) + 32/112. Suppose -3*a - o = -0 - 10, 0 = c*a - 3*o - 22. Solve a*u = -2*q + 4, -q + u - 1 = x*q for q. 0 Suppose 0 = p + 6 - 21. Solve -3*y - 11 = 4*m, -2*y = -7*y + p for m. -5 Suppose -6 = 2*h - 12. Solve -5*b = 3*c - 0*b - 27, h*b - 1 = 2*c for c. 4 Let k(l) = l**2 + 13*l - 30. Let d be k(-21). Let n = d + -114. Solve 0 = -4*q + 5*b + 3, -4*q - 2*b - 2*b - n = 0 for q. -3 Suppose -4 = 21*v - 23*v. Solve -v*m = 0, 4*p = -m - 21 + 1 for p. -5 Let h(z) = z + 3. Let v be h(-3). Suppose -5*o + 177 = -2*x - 0*x, v = 5*o + 3*x - 197. Solve -5*n = 2*g + 5, 6*g - 4*n - o = g for g. 5 Suppose 13*f - 15*f = -10. Suppose -5 = 3*x - 14. Suppose 0 = -x*i + 48 - 3. Solve f*j - 7 = -4*y, -2*j + 4*y + 1 = i for j. -1 Let o = 3 - -1. Let l be (1/2)/(2/(-220)*-5). Suppose -l = 5*x - 21. Solve -s - z = -0 - x, -o*s = 5*z - 12 for s. -2 Let k(v) = v - 52. Let f be k(-11). Let b be f/(-15) - (-1)/(-5). Solve -5*n = -s + 29, b*s - 14 = 2*n + 12 for n. -5 Let b(f) = f**3 + 13*f**2 - 14*f + 3. Let z be b(-14). Suppose -z*h + 2 + 10 = 0. Solve -h = -5*x + 4*v - 5*v, -4 = -x + 3*v for x. 1 Suppose p = -2*p - 9. Let l be (p - -3) + 0 + 6. Let c be (-4)/l + (-4)/(-6). Solve 4*v = -5*z, c = z - 4*v - 2 + 26 for z. -4 Suppose -4*l = k - 16, 12*l - k - 28 = 36. Solve i = -7*x + 5*x + 11, -10 = -3*x + l*i for x. 5 Suppose -15 = 3*d, -5*d = -2*z + 14 + 21. Suppose -4*g - 2*p = -34 + 4, -z*g - 3*p + 35 = 0. Let f = g - 5. Solve -f*b + 3*w = 0, 2*b + 2*w = 5*b + 1 for b. 3 Suppose -4*h + 2 = -14, 2*t - 4*h = -8. Solve -15 = -t*c + 3*g + 2, 2*g = 2 for c. 5 Let u be (9/(-6))/(3/(-38)). Suppose o = -5*a + 96, -2*o = -2*a - u + 55. Solve -4*l - v = 15, -5*l + 2*v = a + 16 for l. -5
Let v(g) be the second derivative of -155*g**4/4 + 80*g**3/3 + 50*g**2 - g - 102. Factor v(z). -5*(3*z - 2)*(31*z + 10) Let d(n) be the first derivative of n**3/3 - 987*n**2 + 1973*n - 4118. Determine u, given that d(u) = 0. 1, 1973 Let l be (-352)/(-10)*(-4104)/(-3762). Find i such that -672/5*i**4 + 15*i - 6/5 - 348/5*i**2 + l*i**5 + 732/5*i**3 = 0. 1/4, 1/2, 2 Suppose -86 = -62*o + 100. Let -15/11*i - 1/11*i**o + 9/11 + 7/11*i**2 = 0. Calculate i. 1, 3 Let q = -281 + 282. Suppose 0 = -a + 3*k + q, -5*a - 129*k + 16 = -133*k. Determine v, given that -2*v**3 - 12/7 + 46/7*v**2 - 10/7*v**a - 10/7*v = 0. -3, -2/5, 1 Let w(n) be the second derivative of 0*n**5 - 3 - 1/6*n**4 + n + 0*n**3 + 1/30*n**6 + 1/2*n**2. Factor w(z). (z - 1)**2*(z + 1)**2 Let r = 1150/431 - 4169/1724. What is t in r*t**2 - 5/2 - 3/4*t = 0? -2, 5 Let z(t) = 13*t**3 - 12*t**2 - 559*t - 294. Let o(c) = -2*c**3 + 64*c. Let w(m) = -6*o(m) - z(m). Suppose w(l) = 0. What is l? -7, -2, 21 Let h be (-6 - -5)*(-16 + (-2478)/(-154)) - (-38)/55. Factor -18/5*q**4 + 0*q**2 - 24/5*q**3 + 0 + 0*q - h*q**5. -3*q**3*(q + 2)*(q + 4)/5 Solve -17616*u**2 - 24410118*u - 47056026183 + 3*u**3 - 5*u**3 - 27310458*u - 3561177529 = 0. -2936 Let a(o) be the third derivative of -o**8/1680 - 13*o**7/1050 - 11*o**6/100 - 27*o**5/50 - 63*o**4/40 - 27*o**3/10 + 248*o**2 + 3. Find j such that a(j) = 0. -3, -1 Let z(j) be the second derivative of j**9/1296 - j**8/504 - j**7/2520 + j**6/270 - 37*j**3/6 + j. Let s(b) be the second derivative of z(b). Factor s(w). w**2*(w - 1)**2*(7*w + 4)/3 Let p(f) be the second derivative of f**6/50 - 333*f**5/50 + 9637*f**4/20 + 148962*f**3/5 + 2701446*f**2/5 - 611*f. Factor p(d). 3*(d - 122)**2*(d + 11)**2/5 Let l = -2642 + 4416. Determine u so that u**3 + 1774 - 5*u**2 - l = 0. 0, 5 Let t(u) = -2*u**2 + 24*u + 8. Let z be t(12). Suppose 3*a - z = -a. Factor -3*r**2 + 11*r**3 - 3*r**a + 2*r**2 - 7*r**3. 4*r**2*(r - 1) Let v(a) = a**4 + a**2 + a. Let t(s) be the second derivative of -5*s**6/6 + 5*s**5/4 + 7*s**4/3 + 2*s + 8. Let u(b) = t(b) + 4*v(b). Factor u(h). -h*(h - 2)*(3*h + 2)*(7*h + 1) Suppose 5*i + 2*d = 8*i + 1060, 2*d - 1414 = 4*i. Let g = i - -711/2. Factor -1/2*b - b**3 - g*b**2 + 0. -b*(b + 1)*(2*b + 1)/2 Suppose 1/10*d**3 - 53/10*d**2 - 28/5*d + 54/5 = 0. What is d? -2, 1, 54 Factor -11025/2*y - 3/2*y**3 + 315/2*y**2 + 128625/2. -3*(y - 35)**3/2 Let z = 505093 - 505091. Factor 23232/5*u + 340736/5 + 528/5*u**z + 4/5*u**3. 4*(u + 44)**3/5 Let u be 56/2024*(-30)/(-35). Let b = u + 747/506. Factor b*k**3 + 5/2*k**2 - 3/2*k - 1/2*k**4 - 2. -(k - 4)*(k - 1)*(k + 1)**2/2 Let -6908*t + 13496*t - 1068*t**3 + 364*t**4 - 4*t**5 + 1060*t**2 - 6940*t = 0. Calculate t. 0, 1, 88 Let h(s) be the second derivative of 11*s**7/441 - 5*s**6/21 + 151*s**5/210 - 113*s**4/126 + 2*s**3/7 + 8*s**2/21 + 3288*s. Solve h(z) = 0. -2/11, 1, 4 Let q(l) = -11*l**3 - 251*l**2 - 297*l + 3. Let w(n) = 31*n**3 + 696*n**2 + 892*n - 8. Let r(d) = -8*q(d) - 3*w(d). Find z such that r(z) = 0. -10, -6, 0 Suppose d = 29*g - 28*g + 1, d + 2 = 4*g. Let w(a) be the second derivative of 0*a**3 + 0 - 1/21*a**4 + 15*a + 0*a**d + 2/105*a**6 + 0*a**5. Factor w(s). 4*s**2*(s - 1)*(s + 1)/7 What is r in 308/5 + 123/2*r - 1/10*r**2 = 0? -1, 616 Let w(c) be the second derivative of -2/5*c**5 + 0 - 119*c + 144*c**2 - 184*c**3 - 95/6*c**4. Suppose w(d) = 0. Calculate d. -12, 1/4 Let o(w) = -w**3 + 5*w**2 + w. Let s(u) = 12*u**3 + 555*u**2 - 1848*u - 2436. Let j(q) = -9*o(q) - s(q). Let j(y) = 0. What is y? -203, -1, 4 Determine y, given that -2/3*y**3 + 1186/3*y + 28/3*y**2 + 748 = 0. -17, -2, 33 Let r = -3455 - -3459. Let f(h) be the first derivative of -5/12*h**3 + 15/4*h + 5/4*h**2 + r. Factor f(s). -5*(s - 3)*(s + 1)/4 Let f(h) be the first derivative of -5*h**3/6 + 627*h**2/4 - 125*h + 1077. Factor f(z). -(z - 125)*(5*z - 2)/2 Solve -24795*i - 523967*i**4 - 9005*i + 894316*i**2 - 4605*i + 1936 - 33843*i - 156033*i**4 - 31250*i**5 - 3616850*i**3 = 0 for i. -11, 2/25 Let m be (-92)/575*(-4)/6*225/30. Let -4*k**2 + 16/5 + 0*k + m*k**4 + 0*k**3 = 0. Calculate k. -2, -1, 1, 2 Let l = -334 + 338. Factor -137*j + l*j**2 + 64 + 382*j - 177*j. 4*(j + 1)*(j + 16) Let n(y) = 848*y + 18656. Let j be n(-22). Let c(p) be the second derivative of -25/3*p**3 + j - 49*p - 15/2*p**2 - 35/12*p**4. Factor c(o). -5*(o + 1)*(7*o + 3) Factor 0 - 1/6*h**4 - 67/6*h**3 - 11*h**2 + 0*h. -h**2*(h + 1)*(h + 66)/6 Factor -122*s**2 - 139*s**2 - 5*s - 61*s**2 - 3*s - 82*s**2. -4*s*(101*s + 2) Let w be ((-286)/(-55) - 19) + 14. Let z(i) be the first derivative of 0*i + 0*i**5 - 11 - 1/15*i**6 - 1/5*i**2 + 0*i**3 + w*i**4. Factor z(f). -2*f*(f - 1)**2*(f + 1)**2/5 Let l be ((-159)/6)/(4/(-48)*2). Suppose p - 4 = i, 0*i + 2*i + 4 = 0. Factor -8*r**p + 2*r**3 + r**3 + 167 - l - 7*r**3 + 4*r. -4*(r - 1)*(r + 1)*(r + 2) Suppose 7*i - 470 = 54*i. Let u be i + (-774)/(-27)*1. Factor -16 + 2*g**3 - 4*g**2 + 2/3*g**4 - u*g. 2*(g - 3)*(g + 2)**3/3 Let k(b) be the third derivative of b**8/120 + 6074*b**7/525 + 655333*b**6/150 - 1509016*b**5/75 + 138649*b**4/4 - 25230*b**3 + 1917*b**2. Solve k(g) = 0. -435, 2/7, 1 Let a(m) = 4*m**2 - 77*m + 21. Suppose 10*g + 4 = 194. Let p be a(g). Let 18/5*x - 10*x**4 - p*x**3 + 42/5*x**2 + 0 = 0. What is x? -3/5, 0, 1 Let k(w) be the first derivative of 1/6*w**4 + 50/9*w**3 + 18*w - 53/3*w**2 - 23. Find l, given that k(l) = 0. -27, 1 Let x(y) be the third derivative of -9*y**8/112 - 104*y**7/35 - 181*y**6/8 - 143*y**5/2 - 199*y**4/2 - 36*y**3 + 2056*y**2. Solve x(m) = 0. -18, -2, -1, -1/9 Let q be (-1)/(-15) - 18/(-855). Let o = 67/114 - q. Determine i, given that -o*i**2 + 1/2 - 1/4*i**3 + 1/4*i = 0. -2, -1, 1 Let v(j) be the third derivative of 7/15*j**5 - 25/3*j**3 + 0 + j**2 + 28*j - 55/24*j**4 - 1/40*j**6. Let v(z) = 0. What is z? -2/3, 5 Suppose -448*b = -447*b + 517. Let j = -514 - b. Factor 0*n**2 + 3/2*n**j + 0 - 3/2*n. 3*n*(n - 1)*(n + 1)/2 Let u be (16 - 5249/87) + 46. Find t, given that -u*t**4 + 13/3*t**2 - 28/3*t - 1/3*t**5 + 3*t**3 + 4 = 0. -6, -2, 1 Let d(m) be the second derivative of -m**6/1440 + m**5/30 - 41*m**3/3 + 3*m**2/2 - 237*m. Let x(s) be the second derivative of d(s). Factor x(n). -n*(n - 16)/4 Let z(t) = 3*t + 65. Let j be z(-6). Let r = j - 44. Factor -2/7*x**r - 16/7*x**2 - 12/7 - 26/7*x. -2*(x + 1)**2*(x + 6)/7 Let t = 266 - 261. Suppose t - 1 = 2*q. Factor -1/3*u**3 + 1/3*u**q + 0 + 0*u. -u**2*(u - 1)/3 Let w = -16815484/9 + 1868388. Determine s so that -w + 2*s**2 + 32/9*s = 0. -2, 2/9 Factor -200*k**2 - 903*k**5 + 899*k**5 + 32*k**4 - 8*k**3 - 7*k**3 - 5*k**3. -4*k**2*(k - 5)**2*(k + 2) Factor 10170*a - 2490084 - 4*a**2 - 1494*a - 2364*a. -4*(a - 789)**2 Let v be (-10)/65 + 123/39. Suppose -v*t - 1 = 4*w + 5, 5*t + w = 7. Factor 30*i**2 - 3 + 38*i**t - 3 - 71*i**2 - 11*i. -(i + 3)*(3*i + 2) Let u(a) = -8*a**4 - 43*a**3 - 13*a**2 + 152*a - 5. Let i(x) = 11*x**4 + 64*x**3 + 19*x**2 - 228*x + 7. Let r(h) = 5*i(h) + 7*u(h). Factor r(q). -q*(q - 19)*(q - 2)*(q + 2) Let b be 4 + ((-2)/(-5))/((-2)/(-30)). Suppose 11*l = -b + 43. Determine o, given that -3/2*o**4 + 9/2*o**2 - 1/2*o**l - 3/2*o - 1 = 0. -2, -1/3, 1 Find a, given that -4261*a**2 + 4915*a**2 + 484 + 3476*a + 20*a**5 + 5290*a**2 - 296*a**4 + 3416*a**3 + 780*a**4 = 0. -11, -1, -1/5 Let o(g) = 15*g**2 + 5*g + 2. Let x(h) = h**2 + 15*h + 55. Let u be x(-7). Let c be o(u). Factor -19*d - 5*d + 1 - c*d**2 + 37 - 6 + 4*d**3. 4*(d - 4)*(d - 1)*(d + 2) Let m(k) be the third derivative of -k**5/12 + 1725*k**4/4 - 1785375*k**3/2 + 101*k**2 + 6*k + 1. Factor m(n). -5*(n - 1035)**2 Suppose 2*d - 5*d + 31 = 5*p, -d = -p + 3. Suppose -6*c = -14 + d. Factor -2*j**2 + j**2 - 3*j**3 - c*j**2 + 6*j. -3*j*(j - 1)*(j + 2) Suppose -2*r - 4*l + 12 = 0, 23 - 9 = 5*r + 2*l. Suppose r = -k + 3*t, -t = -4*k - 3*t + 6. What is i in 3*i**2 - 2 - 21*i - i**3 - k + 22*i = 0? -1, 1, 3 Solve -131/3*q**2 + 49/3*q**4 + 168*q + 208/3 - 210*q**3 = 0. -4/7, 1, 13 Solve 2/3*d**3 - 20/3 - 8*d**2 + 14*d = 0. 1, 10 Let r(i) = i**2 - 24*i + 79. Let o be r(16). Let u be -3 + (-77)/o + 2. What is k in -8/7*k**3 + 0 - 10/7*k**2 - 2/7*k**4 - u*k = 0? -2, -1, 0 Suppose -11*p + 188 = -10*p. Let c = 190 - p. Factor -21/2*x - 9/2 - 15/2*x**c - 3/2*x**3. -3*(x + 1)**2*(x + 3)/2 Suppose -7*g - 472 = -1193. Factor -3*n**4 - g*n + 99*n**2 - 20*n - 27*n**3 + 18*n + 36. -3*(n - 1)**3*(n + 12) Factor -1116 - 4885*h - 10*h**3 + 8731*h - 180 + 164*h**2 - 4368*h. -2*(h - 9)**2*(5*h + 8)
Let d = -7.38 + 7.3804. Round d to 2 dps. 0 Let b(g) = 5*g**2 - 24*g + 4. Let x = 35 - 31. Let c be b(x). Let j be (2 - 920002)/(c/60). What is j rounded to the nearest one million? 5000000 Let x = 2028.1999927303 + -2028.2. What is x rounded to six dps? -0.000007 Let d = 0.022 + -8.272. Let t = -2.5 - d. What is t rounded to 0 decimal places? 6 Let d(b) = b**2 + 4*b - 1. Let f be d(-3). Let w be f/(-22) - (-1740825)/11. Let g = w - 83257. Round g to the nearest ten thousand. 80000 Let n(p) = 595303*p**3 + 42*p**2 + 37*p + 10. Let c be n(-5). Round c to the nearest one hundred thousand. -74400000 Let y(n) = n**3 + 10*n**2 + 4*n + 7. Let h be y(-9). Let k be h/((-319997)/240000 - 4/(-3)). What is k rounded to the nearest 100000? 4200000 Let z = -78817.2179937 - -78808.718. Let s = 33.5 + -25. Let f = s + z. What is f rounded to six dps? 0.000006 Let m = 4008.5 - 1925. What is m rounded to the nearest 10? 2080 Let x = 1632603774733 - 1632605872230.889963. Let s = x - -2097499. Let j = s - 1.11. What is j rounded to five dps? 0.00004 Let h = 890 - 443. Let w be h/1*(25 - 2) + -1. Round w to the nearest 1000. 10000 Let f = -14.1039 - -14.2738728. Let d = -0.2811 - -0.4511. Let s = d - f. What is s rounded to five decimal places? 0.00003 Let d = 11.95613 + -0.10813. Round d to 1 dp. 11.8 Suppose -14*v + 67*v = 152305040. Round v to the nearest 10000. 2870000 Let j = -699860.17 - -701072.15522. Let u = 1212 - j. Round u to 4 decimal places. 0.0148 Let s = -1312.000008675 - -1312. What is s rounded to 6 decimal places? -0.000009 Let s = 640.6 + -524.96. Round s to the nearest 10. 120 Suppose r - 41 = -43. Let i be (-8)/20 - ((-17084)/10 - r). Let z = i + -3236. What is z rounded to the nearest one hundred? -1500 Let h = -243257.428353 + 243257. Let b = 0.429 + h. Round b to 5 decimal places. 0.00065 Let a = -1.2695625 + 1.2732. What is a rounded to 3 dps? 0.004 Let n = 791 + -790.371. Let d = n - 0.6289402. What is d rounded to 6 decimal places? 0.00006 Let n be (-612)/(-27) + 2/6. Suppose -4*c - 88396 = -x, -n*c + 18*c - 110504 = x. What is c rounded to the nearest ten thousand? -20000 Let j = 0.4147 - -2.6974. Round j to 1 decimal place. 3.1 Let u = -99624.0050099 + 99624. Let s = -0.005 - u. What is s rounded to 6 dps? 0.00001 Let n be 841799900/300 - 2/(-6). What is n rounded to the nearest 100000? 2800000 Let g(u) = -2704*u**3 + 12*u**2 - 51*u + 68. Let y be g(4). Round y to the nearest 100000. -200000 Let n = 4233 - 531. Suppose 0 = 4*v + n - 17622. Round v to the nearest one thousand. 3000 Let d = 0.22 - 12.22. Let a = -74678 - -74665.9884. Let b = a - d. Round b to 3 dps. -0.012 Let o = 3359.726693 - 3359.7. Round o to four dps. 0.0267 Let l = -185771.93999495 + 185770.53. Let n = -583.59 + 585. Let w = l + n. What is w rounded to seven dps? 0.0000051 Let g = -5080 + 5079.999994681. What is g rounded to 7 dps? -0.0000053 Let k = 364.79999853 + -364.8. What is k rounded to seven dps? -0.0000015 Suppose -2*m + 4*z - 6*z - 22 = 0, 4*m + 26 = 5*z. Let y be ((-164800)/12)/(m/(-9450)). Round y to the nearest one million. -14000000 Let l = -2.0644096983 + -0.4555900247. Let i = l + 2.52. Round i to 7 dps. 0.0000003 Let d = -0.16411 + -0.49719. What is d rounded to two decimal places? -0.66 Suppose -3*j - 3*i + 182670000 = 0, -j - 3*i + 60890000 = -5*i. What is j rounded to the nearest 1000000? 61000000 Suppose -5*q + 7221525 = 5*z, z - 1444280 = -70*q + 74*q. What is z rounded to the nearest 1000000? 1000000 Let k = -49555731.9999965 + 49555938. Let h = k + -206. What is h rounded to 5 decimal places? 0 Let u = -0.8068 + 0.811672. Round u to 4 dps. 0.0049 Suppose -5*h + 1 = 4*f - 23, 3*h - 2*f - 10 = 0. Let t be 58/261 - h/18*2700001. What is t rounded to the nearest one hundred thousand? -600000 Let m = 37.8 - 37.1565. What is m rounded to two decimal places? 0.64 Let j = 898.8007 + 0.1993. Let k = j + -630. Let n = k + -268.999393. Round n to 4 dps. 0.0006 Let p = -1055.7711 - -0.5711. Let z = p + 895. Round z to the nearest ten. -160 Let z = -106 - -102. Let v be (519/6)/(105/(-28) - z). What is v rounded to the nearest 10? 350 Let u be 190/(-40) + (-1)/4*1. Let q be (1/(-3) + 0)/(u/225). Let t be (-312002)/6 - (-5)/q. Round t to the nearest ten thousand. -50000 Let z = -222.850326 + 0.040326. What is z rounded to zero dps? -223 Let a = -77971737.59936 - -78007705. Let g = a + -35905.4. Let c = g - 62. Round c to four decimal places. 0.0006 Let g(l) = 280*l**3 + 3*l**2 + 4*l + 8. Let w be g(-4). Let n be w/28*91/13. What is n rounded to the nearest one thousand? -4000 Let x = 168 + -150. Let g be 9384 + -3 + x/2. What is g rounded to the nearest 1000? 9000 Let f = 1271 + -821. Suppose 0 = 3*m - 2655 + f. Round m to the nearest one hundred. 700 Let q = 783 + -768.82. Let x = q + -15.1. Let y = x + 0.92026. What is y rounded to four decimal places? 0.0003 Let b(c) = -4*c**3 - 11*c**2 - 13*c + 2. Let g be b(14). Let o be g + 3 - (4 + 0 + -3). Let z = 2810 + o. Round z to the nearest one thousand. -11000 Let q(g) = 209322*g + 168. Let x(w) = 12 + 2 + 28 + 52330*w. Let b(c) = 4*q(c) - 15*x(c). Let n be b(-9). What is n rounded to the nearest 100000? -500000 Let c = -15.455 - 138.435. What is c rounded to the nearest 10? -150 Let k = -0.041 - -1.3267. Let j = 7.0827 - k. Round j to zero decimal places. 6 Suppose -18 + 2 = 4*v. Let m(z) = -13*z**3 - 4*z**2 - 7*z + 4. Let j be m(v). Suppose 3*p - j = -14000. What is p rounded to the nearest one thousand? -4000 Let n = 12.2867 - -0.2033. Let l = 2.09 - n. Round l to the nearest integer. -10 Suppose 16*r - u = 11*r + 694, -5*r + 3*u = -692. Let o = r + -314. What is o rounded to the nearest 10? -180 Suppose 0*t - 10*t - 20 = 0. Let y(i) = -24925*i**2 - 7*i - 14. Let o be y(t). What is o rounded to the nearest 10000? -100000 Suppose 23*w - 156 = 17*w. Suppose 9594000 = -w*z + 13*z. Round z to the nearest one hundred thousand. -700000 Let v = -118.103 - -118. Let l = v - 181.897. Let d = 181.9999834 + l. What is d rounded to 5 decimal places? -0.00002 Let q = -29 - -31. Suppose 5*p - 14 = -6*k + q*k, p + 2 = 4*k. Suppose -6*y - 2*h = -p*y - 2799994, -9 = 3*h. Round y to the nearest 1000000. 1000000 Let x = 490 - 498. Let q(r) = -79*r**2 - 15*r - 74. Let j be q(x). Round j to the nearest one thousand. -5000 Suppose -47*l + 52*l = 2*x + 25950002, 5*l - 25949998 = -2*x. Round l to the nearest one million. 5000000 Let d(m) = -m**3 + 16*m**2 - 16*m - 6. Let i be d(15). Let g be -3 + i/(-3) + 4757977. Let p = g + -9657981. What is p rounded to the nearest 1000000? -5000000 Let x = 101 + -189. Let j = 88.037 + x. Let a = -4.163 - j. What is a rounded to 1 decimal place? -4.2 Let c = -170.996 + 1.596. Let y = c + -55.7. What is y rounded to the nearest 10? -230 Let u(i) be the third derivative of 25/3*i**3 + 19*i**2 - 20999/12*i**4 + 0*i + 0. Let z be u(-25). Round z to the nearest one hundred thousand. 1100000 Let n = -4173 + 4123.23. Let s = -49 - n. Let t = s - 0.02. What is t rounded to one dp? 0.8 Let l = 12093.791 + -12102. Let x = -8.2 - l. Let o = x + -0.018. What is o rounded to 3 decimal places? -0.009 Let y = 36173.873 - 36159. Let d = -0.433 + y. Round d to 0 dps. 14 Let q = -284.90989 - -284.51. Let c = 6.4 - 6. Let y = c + q. Round y to five decimal places. 0.00011 Let q = -1085408566 - -758898566. Round q to the nearest 1000000. -327000000 Let x = -1.50861209 + 219.50871409. Let u = 218 - x. What is u rounded to 5 dps? -0.0001 Let n be (-47082009)/3 + -112 + 115. Round n to the nearest one hundred thousand. -15700000 Let o be 0 - (2 - 4/2). Let h be 1 - -13*(o - 1). Let x be (-147 - 3)*1120/h. What is x rounded to the nearest ten thousand? 10000 Let s = 112 + -96. Let x = s + -38. Let z = x - -21.999951. Round z to 5 decimal places. -0.00005 Let h be 7/(-6) + 1 + -6*(-260754)/216. What is h rounded to the nearest 1000? 7000 Let k = -53.6 + 52.2. Let u = k - -1.40000314. What is u rounded to seven decimal places? 0.0000031 Let o = 1303.998486 - 1304. What is o rounded to 5 decimal places? -0.00151 Let n = -103686002526 + 103686002761.000000511. Let a = -555.1 - -320.1. Let g = a + n. Round g to 7 dps. 0.0000005 Let u be (-9 - -5) + 14 + -8. Suppose -112781 = u*b + 340819. What is b rounded to the nearest ten thousand? -230000 Let t = 642 - 638.952. Let b = -8.7 + t. Let c = b - -5.4. What is c rounded to one decimal place? -0.3 Let o = 4185569123.3183 + 985648.6817. Let i = 4186554980.99999843 - o. Let d = 209 - i. What is d rounded to 7 decimal places? 0.0000016
Find the second derivative of 932*f**4*w - 13*f**4 - 77*f*w - 2*f - 3*w - 36 wrt f. 11184*f**2*w - 156*f**2 What is the third derivative of 210*v**4*w + v**4 - 272*v**3*w + 17732*v**2 - v*w + 2*w - 2 wrt v? 5040*v*w + 24*v - 1632*w What is the second derivative of 79*f**2*y**3 - 17533*f**2*y**2 + 2*f**2 + 25*f*y**3 - 4*f + 162*y**3 - y**2 wrt f? 158*y**3 - 35066*y**2 + 4 Find the first derivative of -2*c**3*d**2 - 15305*c**3*d*s + 4271*c**3 + 2*c**2*d**2 + 52*d**3*s + 2*d**3 + 2*d**2 wrt s. -15305*c**3*d + 52*d**3 Differentiate 3996*p**3 - 3*p - 198366 with respect to p. 11988*p**2 - 3 What is the third derivative of -30053*u**5 - 12852*u**2? -1803180*u**2 What is the second derivative of 54340*v**2 + 36906*v - 2 wrt v? 108680 What is the derivative of -2*h**2*w + 4*h**2 + 9*h*w - 3*h + 80619*w + 67519 wrt w? -2*h**2 + 9*h + 80619 What is the derivative of -50*d**3 - 1366*d**2 + 100326? -150*d**2 - 2732*d Find the third derivative of -1284016*d**3 - 3*d**2 - 311*d + 85 wrt d. -7704096 What is the second derivative of -2081*a*l**4 + 45*a*l**2 - 68562*a*l + 2*a + l**5 - 3*l wrt l? -24972*a*l**2 + 90*a + 20*l**3 Find the second derivative of -2*i**3*r**2 - 6*i**3*r - 4328*i**3 - 14258*i**2*r**3 wrt r. -4*i**3 - 85548*i**2*r What is the second derivative of -2*s**5 + 296*s**3 + 5*s**2 + 68*s - 104? -40*s**3 + 1776*s + 10 Find the first derivative of 2*n*r**4 + 27057*n*r - 1812248*n + 4*r**3 wrt r. 8*n*r**3 + 27057*n + 12*r**2 What is the third derivative of 34*a**5*y - 1029*a**3*y - 19*a**2 + 7*a*y + 50*y wrt a? 2040*a**2*y - 6174*y What is the second derivative of 2*d**3*p**3 - 39*d**3*p - 115*d**3 - 317076*d**2*p**3 - 22*d**2*p wrt p? 12*d**3*p - 1902456*d**2*p Find the second derivative of 2*r**4 + 151941*r**3 + r - 167698 wrt r. 24*r**2 + 911646*r Find the third derivative of -1216987*l**3 + 3245*l**2 + 6*l + 22 wrt l. -7301922 Differentiate -i**3 + 27813*i**2 + 63615 wrt i. -3*i**2 + 55626*i What is the third derivative of -121*b*o**4 + 526*b*o**3 + 2*b*o**2 + 4254*b + o**2 + 3*o wrt o? -2904*b*o + 3156*b What is the third derivative of -1803*f**3*m**3*t - 410*f**3*m*t**3 + 3*f**2*m**3 - 24*f*m*t**3 + 2*f*t**3 - 16*f*t**2 + 2*m**3*t**2 wrt f? -10818*m**3*t - 2460*m*t**3 Find the second derivative of -33*s**3 + 2827*s**2 + 701659*s. -198*s + 5654 What is the first derivative of 43131*f + 46187? 43131 Differentiate 2670*d**3 + 16*d**2 + 2*d - 720161 wrt d. 8010*d**2 + 32*d + 2 What is the third derivative of 23025*j**3*q + j**2*q - 5*j**2 - 504*j*q - 3*q wrt j? 138150*q Differentiate 2785*g*j**3 - 3*g*j**2 - 48955*g with respect to j. 8355*g*j**2 - 6*g*j Find the third derivative of -2*u*x**3 - 4*u*x**2*y + 1329*x**3*y + x**2*y - 48*x**2 wrt x. -12*u + 7974*y Find the second derivative of -9288*a**2*k**2 + 4*a**2 - 956*a*k - a - 2*k**2 + k wrt a. -18576*k**2 + 8 What is the second derivative of 43481*b**2*l**2 - 7*b**2 + 5*b*l + 18*b wrt l? 86962*b**2 Find the second derivative of 3*d**4 + 3095*d**2 + 2*d + 32149 wrt d. 36*d**2 + 6190 Differentiate -3664*d*y - 21299*d + 469*y - 21 wrt y. -3664*d + 469 Find the first derivative of -2*d*y**4 - 20361*d*y - 19*d + 982 wrt y. -8*d*y**3 - 20361*d Find the third derivative of 10973*j**3 - 6*j**2 - 3864 wrt j. 65838 Find the second derivative of -20*m*o**3 - m*o + 14*o**3 + 8*o**2 - 1410*o wrt o. -120*m*o + 84*o + 16 What is the first derivative of 2*x**4 + 38*x**2 - 9955*x + 748378 wrt x? 8*x**3 + 76*x - 9955 Find the third derivative of -56633*g**4 + g**2 + 128*g + 1 wrt g. -1359192*g What is the derivative of -6*b**3 + 19442*b**2 - 926740 wrt b? -18*b**2 + 38884*b Find the second derivative of -135612*l**4*o + 2*l**3*o - 5448*l + 18*o wrt l. -1627344*l**2*o + 12*l*o What is the first derivative of 3400*k**4 - 9134? 13600*k**3 What is the second derivative of 580*i**2*l*s**2 + 2*i**2*l + 6*i**2*s**2 + 9*i*l*s + 410*i*s**2 - i*s - 3*l*s wrt i? 1160*l*s**2 + 4*l + 12*s**2 Find the third derivative of -255589*b**3 - 95113*b**2. -1533534 What is the second derivative of -22*a**2*g**2 - 43*a**2*g - 507*a*g**2 + 13*a - 2*g**2 - 1 wrt g? -44*a**2 - 1014*a - 4 What is the first derivative of 50*r**2 + 2818*r + 410692? 100*r + 2818 What is the derivative of -50*i**4 - 881*i**3 - 212052? -200*i**3 - 2643*i**2 What is the third derivative of 259065*v**3 - v**2 - 67968? 1554390 Find the first derivative of -74*m**3 + 79*m**2 + 2*m + 13495 wrt m. -222*m**2 + 158*m + 2 Differentiate 382*c*z**3 + 4*c*z**2 + c*z + 225860*z**3 with respect to c. 382*z**3 + 4*z**2 + z What is the second derivative of 306*b**3*c*k**3 + 225*b**2*c**2*k**3 + 2*b*c**2*k**3 - 90*b*c**2 - b*c*k**3 - 112*c*k**3 - 7*k**3 wrt b? 1836*b*c*k**3 + 450*c**2*k**3 What is the first derivative of 61*c*j**3*m - c*j + 82*c*m - j**3*m - 55*j**3 + 2*j*m + 38*j wrt m? 61*c*j**3 + 82*c - j**3 + 2*j Find the second derivative of 148*j**4 + j**3 + 39*j**2 + 6*j - 1491 wrt j. 1776*j**2 + 6*j + 78 Find the second derivative of l*s**4 + 2*l*s**2 + 401*l*s + l + 3896*s**3 + 9*s**2 - 2*s + 9 wrt s. 12*l*s**2 + 4*l + 23376*s + 18 Find the second derivative of 41665*r**3 + 4039*r + 3 wrt r. 249990*r Find the third derivative of -2*s**4 + 876*s**3 + 27681*s**2 wrt s. -48*s + 5256 Differentiate 5521224*n + 659941 wrt n. 5521224 What is the third derivative of -1622*y**5 - 122*y**4 + 37327*y**2? -97320*y**2 - 2928*y What is the second derivative of -1688120*d**3 + 4*d + 287179? -10128720*d Differentiate -4*s**3 - 29646*s - 261988. -12*s**2 - 29646 What is the third derivative of -4442*w**3*z**2 - 8*w**3*z + 2*w**3 - 9*w**2 - 4*w*z**2 - 3*w*z - 183*w - 1 wrt w? -26652*z**2 - 48*z + 12 Find the third derivative of 864*l**4*w*x - 2*l**4*x - 2*l**3*x + 3*l**2*w*x + 15379*l*w*x wrt l. 20736*l*w*x - 48*l*x - 12*x What is the third derivative of -5*b**3*j*u**2 + 2*b**3*u**3 - b**3*u - 169177*b**2*j*u**3 - 2*b**2*j*u**2 + 3377*b**2*j - 2*b*j - j wrt u? 12*b**3 - 1015062*b**2*j What is the second derivative of -1394878*z**5 + 668211*z wrt z? -27897560*z**3 What is the second derivative of -2*d**3*j**2*u**2 - 6*d**3*u - 10167*d**2*j**3*u**2 + 2*d*j**3*u - 2*d*j**2 - 3*j**3 - 1 wrt u? -4*d**3*j**2 - 20334*d**2*j**3 What is the first derivative of -2*k**3*x + 59*k**3 - 2*k**2 + 142*k*x - 41*k + 119*x wrt x? -2*k**3 + 142*k + 119 What is the first derivative of -28247*c + 17524? -28247 Find the third derivative of -55924*a**4 - 290856*a**2 wrt a. -1342176*a Differentiate a**3*o + 5*a**3*v**2 + 181*a**3 - a**2*o*v**3 - a*v**3 + 8631*o**2 with respect to o. a**3 - a**2*v**3 + 17262*o What is the third derivative of 3*n**4*r**3 + 17572*n**4*r + 9*n**2*r**2 + 2*n*r**3 - n + 1275*r**2 wrt n? 72*n*r**3 + 421728*n*r What is the second derivative of 828*i**2*x**3 - 44*i**2*x + 2*i**2 - 2391*i*x**3 - 611*i*x wrt i? 1656*x**3 - 88*x + 4 What is the third derivative of -161883*j**2*y**3 + 685*j**2*y**2 - 5*j**2*y + 6*j*y**3 - 240*j*y**2 wrt y? -971298*j**2 + 36*j What is the third derivative of 4457696*d**3*n - 133*d**2*n + d**2 + 12*d*n - 11*d + n wrt d? 26746176*n Differentiate 761*g*y**3 - 269704*g - 44*y**3 with respect to y. 2283*g*y**2 - 132*y**2 What is the first derivative of -54723*b**4 + b**3 + b**2 - 1655481? -218892*b**3 + 3*b**2 + 2*b What is the second derivative of -68*h**4 - 3*h**3 - 23*h**2 - 13225*h - 2 wrt h? -816*h**2 - 18*h - 46 Differentiate 373046*h**2 + 405193 with respect to h. 746092*h Find the first derivative of 172389*j**2 - 772965. 344778*j What is the second derivative of 672*l**4 - 3*l**3 - 18*l**2 + 2*l + 452438? 8064*l**2 - 18*l - 36 Differentiate -1199521*s - 1318587 wrt s. -1199521 Differentiate -151189*j**2 + 4*j + 2064031. -302378*j + 4 What is the third derivative of 375718*b**5 + 17272*b**2 + 14*b wrt b? 22543080*b**2 What is the derivative of 1347*o**3 - 8*o**2 + 19*o - 1732265 wrt o? 4041*o**2 - 16*o + 19 Differentiate -1224410*d - 783350 with respect to d. -1224410 Find the third derivative of -718107*k**5 - k**4 - 174*k**2 - 1786*k. -43086420*k**2 - 24*k Differentiate 114495*r**3 + 95737 wrt r. 343485*r**2 Differentiate 510053*z**2 + 1352065. 1020106*z What is the first derivative of -2*d*g*w - 7*d*g - 183*d + 244*g*w**4 - 36*g*w - g - 2 wrt w? -2*d*g + 976*g*w**3 - 36*g What is the first derivative of -2*d**2*h*v**3 - 12213*d**2*h + 2*d**2*v**3 - 3145*d**2 + 2*d*v**3 + v**2 wrt h? -2*d**2*v**3 - 12213*d**2 Find the first derivative of -2*g**2*v + 158*g**2 + 2*g*v - 41*g + 1177927*v wrt g. -4*g*v + 316*g + 2*v - 41
Let k = 0 + 2. Solve k*g + 2 = -0*g for g. -1 Let v = -27 + 30. Solve x - v = -5 for x. -2 Let d be (5/2)/((-40)/(-32)). Let g(j) = -j**2 - 10*j - 9. Let o be g(-6). Solve -d*z - o = -5*z for z. 5 Let l = 52 + -52. Solve l*z = 4*z + 16 for z. -4 Let u = 13 - 9. Let d(v) = -v**3 - 4*v**2 - 5*v - 4. Let h be d(-3). Let c be (7/2)/(h/u). Solve 5*m + c = -8 for m. -3 Suppose -5*u + 3*o + 27 = 0, 0*o + o - 25 = -4*u. Suppose u*h - 15 = h. Let l = 341 + -339. Solve -h = l*t + t for t. -1 Let u(o) be the third derivative of -o**5/60 + o**4/3 + 5*o**3/6 - 9*o**2. Let s be u(7). Let r(n) = -n**2 + 8*n - 8. Let h be r(6). Solve -s = h*c - c for c. -4 Let h be 88/20 - (-6)/10. Solve h*w + 10 = -0*w for w. -2 Suppose -8 = -2*d + w, 3*w + 9 = -0*d + d. Let q(r) = r**2 - 2*r - 3. Let k be q(-2). Solve 0 = d*t + k + 1 for t. -2 Suppose -4 = 2*x, 4*n = 3*x - 6 + 40. Let y = 7 - 5. Suppose 0*t + y*t - 10 = 0, 4*t = 2*h + 10. Solve n = h*m - 8 for m. 3 Suppose -5*o - i + 102 = 0, -i = -o - 6*i + 30. Solve -j + 5*j + o = 0 for j. -5 Let n(s) = -12*s**3 - s**2 + 1. Let k be n(1). Let g = -2 - k. Solve 3*y + 5 = -g for y. -5 Let w(p) be the second derivative of -p**6/180 - p**5/120 + p**4/6 - p. Let l(t) be the third derivative of w(t). Let z be l(-1). Solve -z*i + 1 = 4 for i. -1 Let q be 3/2*(-4)/(-3). Let k(a) = a + 1. Let c(d) = -2*d - 2. Let m(p) = 5*c(p) + 5*k(p). Let w be m(-4). Solve -q*g - w = g for g. -5 Let r(q) = 2*q + 11. Let s(b) = b + 6. Let x(m) = 6*r(m) - 11*s(m). Let f be x(-1). Let l be f/(1 - 6/5). Solve -l*a + 19 = -1 for a. 4 Suppose 5*i + 2 = -3. Let d = i - -3. Solve 0 = -x + d + 1 for x. 3 Let j(c) = -c**2 - 8*c - 8. Let b be j(-6). Solve -1 = -b*d - 17 for d. -4 Let p be 44/10 + (-3)/(-5). Suppose 0 = -2*x + 4*b + 2, 5 = 7*x - 2*x - 2*b. Let v = 1 + x. Solve -v*s + p*s - 6 = 0 for s. 2 Let i be (-16)/6*-2 - 12/(-18). Solve a - 15 = i*a for a. -3 Let h(a) = a**3 - 3*a**2 - 6*a - 5. Let f be h(5). Suppose -f = s - 2*s. Suppose -2*m + c = m - s, -17 = -5*m - c. Solve p + m = 5 for p. 1 Let i = -25 - -23. Let b be 0/((i - -3) + 0). Solve -d - 4 + 1 = b for d. -3 Suppose -2*v + 2 + 4 = 0. Suppose -2*m - 2 - 14 = 0. Let p = m - -10. Solve -v*r - p = -4*r for r. 2 Suppose 4*a - 7 + 1 = o, a - 2*o + 2 = 0. Let b be a*6/(-4) + -3. Let p(x) = -3*x - 1. Let i be p(b). Solve -i - 3 = 4*k for k. -5 Let t(x) be the second derivative of -x**3/6 - 3*x**2/2 + x. Let r be t(-6). Solve -q = -r*q + 2 for q. 1 Let w = 78 - 71. Let d = 8 - 5. Solve d*x - 16 = -w for x. 3 Suppose 0 = 4*y - 8. Suppose y - 47 = -3*o. Solve -l - o = -4*l for l. 5 Let a(u) = -4*u**3 - u**2 + 1. Let v be (2 - 4)*1/2. Let f = v - 0. Let k be a(f). Solve -t - k = t for t. -2 Suppose -5*z + q + 6 = -0*q, -16 = -4*q. Suppose -4*d + 5*d - z = 0. Solve -4*a - d = -6*a for a. 1 Suppose 0 = -2*q - 3*b + 29, -5*q - 7*b = -6*b - 53. Solve 4 = -2*t + q for t. 3 Let t = 17 - 12. Let x(w) = -w - 1. Let v(p) = 8*p + 10. Let y(b) = -v(b) - 10*x(b). Let o be y(t). Solve -3*a - o = -a for a. -5 Let c be ((-84)/(-49))/((-1)/(-7)). Suppose z + 4 = o, c = -2*o + 5*o - 5*z. Solve o*i = -i for i. 0 Let a(w) = w - 17. Let u be a(18). Solve -j + u = 4 for j. -3 Let n = -6 + 6. Suppose n = 3*t - 5*t. Solve -w - 1 + 0 = t for w. -1 Let n(g) = -4*g**2 - g**3 + 3*g**2 + 4*g**2 - 4*g**2 + 2. Let o be n(0). Solve -o*y = -6*y + 16 for y. 4 Let j(r) = 4 + r - 3*r - 6 + 1. Let p be j(-2). Solve -5 = -4*n + p for n. 2 Let k be 1/(-1 - 8/(-6)). Let x(r) = r**2 + 3. Let i(p) = 2*p**2 - p + 3. Let c(d) = k*x(d) - 2*i(d). Let h be c(3). Solve h = -0*j - 5*j for j. 0 Let y(x) = -x**3 - 4*x**2 - 2*x - 3. Let i be y(-4). Let s = 8 - 11. Let z = i + s. Solve -z*q = -7*q + 15 for q. 3 Suppose -5*x - 3*d + 30 = 0, -2*x + 0*d = -5*d + 19. Solve -x*o = o + 8 for o. -2 Let k(q) = q + 19. Let o be k(-19). Solve m + o + 2 = 0 for m. -2 Let t(n) = 2*n**2 - 6*n + 4. Let f be t(4). Suppose 0 = 2*v - 3*i + 21, 4*v = -7*i + 3*i - f. Let j = v + 9. Solve -j*c + c - 2 = 0 for c. -1 Suppose 23 = 3*r - 5*t, 2*r + 4*t + t - 57 = 0. Suppose 27 = -4*n - 5. Let u = 8 + n. Solve -4*c + r = -u for c. 4 Suppose -6*l - 3 = -3*l. Let p be ((-4)/(12/9))/l. Solve p*q = -12 + 3 for q. -3 Let h(u) = 4*u - 10. Let c be h(4). Solve -c*s - 5 = -s for s. -1 Let a(j) = j**3 + 16*j**2 + 2*j. Let l be a(-16). Let m = -28 - l. Solve 0 = m*y + 16 for y. -4 Let l be 1/(-4)*(-8)/1. Solve 0 = l*v + 3 - 1 for v. -1 Suppose 1 + 4 = -5*c. Let h be (-23)/(-2) - c/(-2). Let l = -5 + h. Solve l = q + 1 for q. 5 Let m(l) = -l**3 + 10*l**2 + 12*l - 15. Let d be m(10). Let v be d/33 - 6/33. Solve -v*u + 9 = -6*u for u. -3 Let i(o) = -o**3 - 6*o**2 + 2*o + 6. Let r be i(-6). Let h = 10 + r. Suppose -h*y - 16 = 0, -3*y + y - 8 = k. Solve -m + 0*m + 5 = k for m. 5 Let m(h) = 2*h**2 + 3. Let j be m(0). Let u(g) = 1 - 2*g + g - 5. Let x be u(-4). Solve x*n = j*n - 3 for n. 1 Suppose 0 = -0*r - 2*r + 8. Let b be (-7)/r + (-1)/4. Let z be (1 + -1)/(b - -3). Solve 4*x + 8 = -z*x for x. -2 Suppose -4*z - 21 + 53 = 0. Suppose 4*k = 2*k + 6. Solve -k*o = 2 - z for o. 2 Let t(f) = -f**3 - f**2 + 3*f + 3. Let h be t(-3). Let s = h - 10. Solve 2*g + s + 0 = 0 for g. -1 Let g(c) = 2*c - 6. Let d be g(5). Let h be (-3 + 2)/((-1)/9). Suppose 5*u - 2*w = -w + 17, -5*u + h = 3*w. Solve u*a + a = -d for a. -1 Let g = -7 - -10. Suppose a = 4*n - 63, 2*n + g*a - 27 = 2*a. Suppose h + n = 5*v, v - h - 3 = -0*h. Solve 2*k = v*k + 3 for k. -3 Let n be (-4 - -2)*-1*3. Let u = -4 + n. Let w = -1 + u. Solve a = -w - 4 for a. -5 Let m(v) = v**2 + v + 12. Let o be m(0). Solve b - 4*b + o = 0 for b. 4 Let f(j) = j + 5*j**2 + 2 - 4 + 0 + j - j**3. Let l be f(5). Solve l = 7*w - 3*w for w. 2 Let d be ((-9)/(-27))/((-1)/33). Let a = d + 16. Solve 4*j = -j - a for j. -1 Let t(m) = -2*m - 12. Let c be t(-6). Let s = 7 + -4. Suppose 0 = s*u - 4*u + 3. Solve o - u = -c for o. 3 Suppose 5*o = 106 - 91. Solve o*w - 1 = -4 for w. -1 Suppose -2*p - r - 7 + 17 = 0, 0 = -2*p + 3*r - 6. Let x = -1 + p. Solve -x*w + 15 = -7*w for w. -3 Suppose -3*w - 2*d = -9, 3 = -d - 0*d. Let h(j) = j**2 - 5*j. Let g be h(w). Suppose g = -4*q + 4 + 20. Solve 3*r = 6*r + q for r. -2 Let i be 0/(-6) + 2 + 3. Solve -2*n + i*n = -3 for n. -1 Suppose -5*o = 14 - 19. Solve -v - o - 4 = 0 for v. -5 Let s be ((-11)/33)/((-1)/9). Suppose -x - 9 = -2*q, -3*q + 5*x = s*x - 14. Solve 2 = -q*n + 6*n for n. 1 Let f be ((-42)/49)/(1/(-42)). Let m = -25 + f. Let p(c) = c**3 - 11*c**2 - c + 15. Let g be p(m). Solve g*l - l = 0 for l. 0 Let d(p) = 4*p**2 - 3*p - 2*p**3 + 5*p + 3*p**3 + 4. Let n be d(-3). Solve -2*l = -n - 1 for l. 4 Let r = -157 - -169. Solve -z = 2*z + r for z. -4 Let t be ((-6)/(-4))/(6/56). Suppose z = -3*r + t, -1 = -r + z - 3. Let g = -2 + r. Solve -3*c - 2 = g for c. -1 Let s = -13 + -7. Let a = 0 - s. Solve -2*t = 3*t + a for t. -4 Let u(n) = n - 10. Let b be u(10). Solve 0 = 3*v - b*v for v. 0 Let a = 0 - -3. Let x be (3 + -1)*(a + -1). Solve -x - 2 = -3*i for i. 2 Let p(o) = -o**3 - 3*o**2 + 3*o - 2. Let g be p(-4). Let u(v) = v + 8. Let l be (-1 + 1)*3/9. Let q be u(l). Solve g*h - q + 0 = 0 for h. 4 Let b be 9 + 4 + -5 + -3. Solve 5*i - 10 = -b for i. 1 Let p(v) = -3*v - 3. Let n be p(-2). Suppose -3*t = -5*y - t + 36, 12 = y - 2*t. Suppose 0 = -2*x - y + 8. Solve -b = -n - x for b. 4 Let m(j) = j**2 - 1. Let l(u) = -u**3 - 3*u**2 - u + 6. Let y(d) = l(d) + 6*m(d). Let g = -4 + 6. Let b be y(g). Solve 0 = -b*h + 2 - 0 for h. 1 Suppose 0 = 5*w - 0 - 0. Solve w = 9*k - 4*k + 5 for k. -1 Suppose 4*y = -4*j + 60, 3*j = -2*j + 5*y + 55. Solve 3*n - j = -4 for n. 3 Suppose 0*x = 4*i + 5*x - 1, 3*i + 3*x = 3. Suppose 3*d - 6 + 2 = p, 0 = d + 4*p + 16. Solve i = f - d*f for f. 4 Suppose 0 = 3*h + 2*h - 10. Suppose 13 - 5 = -h*c, -m + 1 = c. Solve m + 15 = -4*s for s. -5 Let h(w) = -w**2 + 3*w + 5. Suppose s - 1 = -z + 2, -z + 7 = 2*s. Let y be h(s). Let r be (-152)/(-10) - y/5. Solve -r = -2*k - 5 for k. 5 Let l be (8/6)/(10/15). Suppose 0*p = -3*p + 9. Solve -p*f = l*f for f. 0 Let l(a) = a**3 - 2*a**2 + a + 1. Let u be l(3). Suppose 0 = -0*b - 4*b - 5*p - 22, -3*p - 10 = 2*b. Let t = b + u. Solve 5*m - t - 5 = 0 for m. 2 Suppose -2*l + 4 = -4*c, -3*l = -c + 4 - 25. Suppose -28 = -5*h - l. Suppose 0 = -5*v + 16 + h. Solve 0 = -4*x - 4 - v for x. -2 Let c = 0 + 15. Solve -4*u = u - c for u. 3 Let o(p) = 3*p**3 + p**2 + 13*p. Let c(u) = u**3 + u**2 + 6*u. Let d(w) = 5*c(w) - 2*o(w). Let n be (-1 - -7)/(9/6). Let m be d(n). Solve -5*g - 5 = -m*g for g. -1
What is the next term in 189, 186, 181, 174, 165, 154? 141 What is next in -65, -217, -471, -827, -1285, -1845, -2507? -3271 What comes next: -1428, -1426, -1424, -1422? -1420 What is the next term in 406, 398, 386, 370, 350? 326 What is next in -36, 2, 40? 78 What is next in 141, 140, 139, 138, 137, 136? 135 What is next in 0, -12, -30, -54, -84, -120, -162? -210 What comes next: 129, 130, 131, 132? 133 What comes next: 511, 1031, 1573, 2149, 2771? 3451 What is next in 0, 1, -10, -39, -92, -175? -294 What is next in -306, -305, -304, -303, -302, -301? -300 What is next in 74, 147, 350, 749, 1410? 2399 What is the next term in 20, 47, 74, 101? 128 What comes next: 427, 430, 433, 436, 439? 442 What comes next: -67, -234, -521, -934, -1479, -2162, -2989, -3966? -5099 What comes next: 3874, 7746, 11618, 15490, 19362? 23234 What comes next: -2341, -4684, -7031, -9382, -11737, -14096? -16459 What is the next term in -114, -477, -1090, -1959, -3090, -4489, -6162, -8115? -10354 What is next in 327, 317, 301, 279, 251? 217 What comes next: 45, 191, 433, 771, 1205, 1735? 2361 What comes next: -35, -151, -345, -617, -967? -1395 What comes next: -46, -89, -140, -205, -290, -401, -544, -725? -950 What comes next: -111, -256, -403, -552, -703, -856, -1011? -1168 What is the next term in 15, 20, 19, 6, -25, -80? -165 What is the next term in 181, 724, 1629, 2896, 4525, 6516, 8869? 11584 What comes next: 77, 148, 219, 290? 361 What is the next term in -5, 3, 23, 61, 123, 215? 343 What comes next: -125, -103, -81, -59, -37? -15 What is next in 2885, 2880, 2873, 2864, 2853, 2840, 2825? 2808 What is next in 858, 1698, 2536, 3372, 4206, 5038? 5868 What is the next term in 2771, 2772, 2773? 2774 What is next in -2, -18, -46, -86? -138 What comes next: -71, -87, -101, -113? -123 What comes next: -9, -10, -7, 0, 11? 26 What is next in 16, 30, 54, 88, 132, 186, 250? 324 What is the next term in 7, 27, 69, 145, 267? 447 What is the next term in -2, -9, -14, -11, 6, 43, 106? 201 What is next in 1488, 1494, 1512, 1548, 1608? 1698 What comes next: -529, -1059, -1589? -2119 What is the next term in 110, 404, 888, 1562? 2426 What comes next: 22, 78, 230, 526, 1014, 1742, 2758? 4110 What is the next term in 45, 67, 83, 93? 97 What is next in 616, 628, 658, 712, 796, 916, 1078, 1288? 1552 What comes next: -5, 2, 11, 22, 35? 50 What is next in -57, -110, -163, -216, -269? -322 What is next in -227, -884, -1979, -3512? -5483 What is the next term in 789, 3122, 7001, 12420, 19373, 27854, 37857, 49376? 62405 What is the next term in -50, -87, -126, -167, -210, -255, -302? -351 What comes next: -757, -3002, -6735, -11950, -18641, -26802, -36427? -47510 What comes next: -36268, -36267, -36266, -36265? -36264 What is next in -57, -205, -445, -771, -1177, -1657, -2205, -2815? -3481 What is the next term in 198, 207, 218, 231, 246, 263? 282 What is next in -129, -270, -433, -630, -873, -1174, -1545? -1998 What is next in 56, 110, 164, 218? 272 What is next in -26, -68, -142, -254, -410? -616 What is the next term in -270, -531, -792? -1053 What is the next term in -73, -100, -171, -310, -541, -888, -1375, -2026? -2865 What is the next term in -20, -76, -218, -488, -928, -1580, -2486, -3688? -5228 What is next in -56, -112, -176, -254, -352, -476, -632? -826 What is the next term in -120, -483, -1080, -1905, -2952, -4215, -5688, -7365? -9240 What is next in 384, 752, 1122, 1494, 1868? 2244 What is next in -2, 18, 42, 64, 78, 78, 58? 12 What is the next term in 3, 48, 103, 174, 267? 388 What comes next: -34, -79, -158, -289, -490? -779 What is next in -41, -46, -55, -68, -85, -106, -131? -160 What is next in 232, 980, 2228, 3976, 6224, 8972, 12220? 15968 What is the next term in -70, -128, -170, -190, -182, -140? -58 What is the next term in 244, 1902, 6404, 15172, 29628, 51194? 81292 What comes next: 96, 193, 280, 351, 400, 421, 408? 355 What is next in -177, -204, -229, -252, -273, -292, -309? -324 What comes next: 32, 64, 96, 128, 160, 192? 224 What is the next term in 9, 8, 7, 6, 5, 4? 3 What is the next term in -46586, -46582, -46576, -46568? -46558 What is the next term in 835, 1659, 2483, 3307? 4131 What is next in 6, 12, 18, 24? 30 What is the next term in 81, 131, 265, 525, 953, 1591? 2481 What is the next term in 1316, 2633, 3948, 5261? 6572 What is the next term in 16, 41, 52, 43, 8, -59, -164, -313? -512 What comes next: 72, 102, 132, 162, 192, 222? 252 What is next in -397, -788, -1175, -1558, -1937? -2312 What is next in -13, -6, 3, 14, 27, 42, 59? 78 What is the next term in -205, -190, -173, -154, -133, -110, -85? -58 What is the next term in -67, -242, -535, -952, -1499, -2182? -3007 What comes next: -413, -801, -1189, -1577, -1965? -2353 What comes next: 128, 211, 280, 329, 352? 343 What is next in 26, 29, 32, 35, 38, 41? 44 What is next in -1787, -3575, -5363, -7151, -8939? -10727 What comes next: 14, 27, 46, 77, 126? 199 What is next in 41, 25, -7, -61, -143, -259, -415? -617 What comes next: -36, 43, 122, 201, 280? 359 What is next in 3703, 3704, 3705? 3706 What comes next: -10, -18, -26? -34 What is next in 672, 674, 676, 678, 680, 682? 684 What comes next: 346, 345, 344, 343, 342? 341 What comes next: 226, 455, 690, 931, 1178, 1431, 1690? 1955 What comes next: 54, 107, 160? 213 What comes next: 34, -7, -96, -251, -490, -831? -1292 What is next in 11278, 11280, 11282, 11284? 11286 What comes next: 62, 124, 186, 248? 310 What is the next term in -34, -68, -100, -130, -158, -184, -208? -230 What comes next: -3, 11, 25, 39, 53? 67 What comes next: -56724, -56725, -56726, -56727, -56728, -56729? -56730 What comes next: 76, 163, 258, 361, 472, 591? 718 What is next in 45, 100, 199, 348, 553? 820 What comes next: 14, 48, 128, 278, 522, 884? 1388 What comes next: -101, -206, -311, -416, -521, -626? -731 What is the next term in -20, -43, -66, -89, -112? -135 What is next in 21, -29, -155, -393, -779, -1349, -2139? -3185 What is the next term in -31, -45, -69, -109, -171, -261, -385? -549 What is the next term in -2627, -2626, -2625, -2624, -2623, -2622? -2621 What is next in 25, 57, 85, 109, 129, 145? 157 What is next in 203, 773, 1713, 3017, 4679, 6693? 9053 What is next in 748, 735, 708, 661, 588? 483 What is next in -4438, -4434, -4428, -4420, -4410, -4398, -4384? -4368 What comes next: -93, -177, -259, -339, -417? -493 What is the next term in -11, -29, -73, -149, -263, -421, -629, -893? -1219 What is the next term in -142, -294, -464, -658, -882, -1142, -1444? -1794 What comes next: -42, -125, -344, -765, -1454? -2477 What comes next: 1806, 3595, 5370, 7125, 8854, 10551? 12210 What is next in -4398, -4399, -4400, -4401, -4402? -4403 What is the next term in -162, -168, -186, -222, -282, -372? -498 What comes next: -129, -258, -387, -516? -645 What comes next: 114, 103, 92, 81, 70? 59 What is the next term in 510, 968, 1424, 1878, 2330, 2780, 3228? 3674 What is the next term in -5, -39, -75, -113? -153 What is the next term in 405, 400, 393, 384, 373, 360? 345 What comes next: 995, 1986, 2977, 3968, 4959, 5950? 6941 What is next in -11, -4, 3, 10, 17? 24 What is the next term in 78, 164, 252, 342, 434, 528? 624 What is next in 194, 389, 584? 779 What is the next term in 195, 338, 471, 588, 683, 750? 783 What is the next term in -7, -15, -23, -31? -39 What is the next term in -15, -35, -55, -75, -95, -115? -135 What comes next: -17, -55, -133, -257, -433, -667, -965? -1333 What is the next term in -179, -177, -175, -173, -171, -169? -167 What comes next: 113, 95, 57, -7, -103, -237? -415 What is the next term in -8, -42, -100, -182, -288? -418 What comes next: -461, -462, -451, -422, -369, -286? -167 What comes next: 83, 175, 281, 407, 559, 743, 965, 1231? 1547 What is next in 265, 277, 289? 301 What comes next: -124, -488, -1094, -1942, -3032, -4364? -5938 What comes next: 70, 54, 18, -44, -138, -270, -446, -672? -954 What is the next term in 2734, 5463, 8194, 10927, 13662, 16399? 19138 What comes next: 70, 97, 148, 223, 322? 445 What comes next: 33, 129, 225, 321, 417? 513 What comes next: -20996, -21009, -21036, -21083, -21156, -21261, -21404? -21591 What is next in -4, -11, -12, -1, 28, 81? 164 What is the next term in -6, -19, -36, -57, -82, -111, -144? -181 What is next in 1006, 1004, 1002? 1000 What is next in 29, 189, 611, 1421, 2745, 4709? 7439 What is next in -185, -434, -683, -932, -1181? -1430 What comes next: 8, 32, 92, 206, 392, 668, 1052, 1562? 2216 What comes next: -154, -335, -526, -733, -962, -1219? -1510 What comes next: -6, -19, -40, -69? -106
Collect the terms in -23*a**3 - 15*a**3 + 36*a**3. -2*a**3 Collect the terms in -52*r**3 - 10*r + 14*r - 4*r. -52*r**3 Collect the terms in -8 - 1 - 13 + 22 + 3*v**2. 3*v**2 Collect the terms in -5*z**2 - 4*z**2 - 10*z**2. -19*z**2 Collect the terms in -188 - y - 57 + 5*y - 5*y. -y - 245 Collect the terms in 2*o**2 - 16*o**2 - 60*o**2. -74*o**2 Collect the terms in -135*j + 354*j - 217*j. 2*j Collect the terms in -12*l**3 + 5*l**3 - 11*l**3. -18*l**3 Collect the terms in -5*n**2 + 1136 - 1136. -5*n**2 Collect the terms in -24*u + 21*u - u + 5*u. u Collect the terms in -3*i**2 + 3*i**2 + 4*i**2 + 0*i**2. 4*i**2 Collect the terms in 15*j**2 - 75 + 43 + 32. 15*j**2 Collect the terms in 6*i + 2*i - i - 3*i. 4*i Collect the terms in -6*a**3 + 4*a**3 + 0*a**3. -2*a**3 Collect the terms in -7 - 4 + 10 + 10*x + 75*x. 85*x - 1 Collect the terms in -1330 + 1330 + 52*u. 52*u Collect the terms in -3*z**2 - 4*z**2 + 13*z**2 - 8*z**2. -2*z**2 Collect the terms in 15 - 2*n + 20 - 36. -2*n - 1 Collect the terms in 6*w**2 + 18*w**2 + 23*w**2 - 29*w**2. 18*w**2 Collect the terms in -1 + j**2 + 10 + 0. j**2 + 9 Collect the terms in 8*i + 30*i + 29*i. 67*i Collect the terms in -2*a - 47 - 48 + 95. -2*a Collect the terms in 0 - k + 2 + 9*k - 3*k. 5*k + 2 Collect the terms in 14*i**2 - 3*i**2 - 3*i**2. 8*i**2 Collect the terms in -42*x + 109*x - 30*x - 35*x. 2*x Collect the terms in 51*p - 12*p - 15*p - 16*p - 6*p. 2*p Collect the terms in -3*l**3 + 291*l**2 - 291*l**2. -3*l**3 Collect the terms in -357*j**2 + 181*j**2 + 9*j**3 + 176*j**2. 9*j**3 Collect the terms in -6*f + 2*f + 4*f + 37*f**3. 37*f**3 Collect the terms in 2*v**2 - 15551 - 15558 + 31109. 2*v**2 Collect the terms in -9*i**2 + 4*i**2 + 8*i**2. 3*i**2 Collect the terms in -33*f - 20*f - 17*f + 71*f. f Collect the terms in -21 + 3 - 2*q - 7*q. -9*q - 18 Collect the terms in -9*y - 18 + 18. -9*y Collect the terms in 0*s + 526*s**2 - 521*s**2 + 0*s. 5*s**2 Collect the terms in -2356699*k**2 + k - k + 2356700*k**2. k**2 Collect the terms in 6*s**2 - 5*s**2 + 41*s - 41*s. s**2 Collect the terms in -7*h**2 + 9*h - 3 + 0 - 9*h. -7*h**2 - 3 Collect the terms in 32832 + 0*w + 0*w - 32832 - w**2. -w**2 Collect the terms in -190*c - 189*c - 195*c + 569*c. -5*c Collect the terms in 0*t**2 - 5*t**2 - 5*t**2. -10*t**2 Collect the terms in 8 - g - 9 + 1. -g Collect the terms in -447 + h**2 + 447. h**2 Collect the terms in -2*f**3 + 2*f**3 - 7*f**3 + 8*f**3 - 5*f**3. -4*f**3 Collect the terms in -32418*y**2 + 16205*y**2 + 16210*y**2. -3*y**2 Collect the terms in 2301 - 2301 - 3*x. -3*x Collect the terms in 2*q**2 + 1 + 3 + 7*q**3 - 2*q**2. 7*q**3 + 4 Collect the terms in -7*n + 0*n + 4*n. -3*n Collect the terms in -5*v - 6*v + 12*v + 0*v + v. 2*v Collect the terms in 17*d**2 + 24*d**2 + 15*d**2 - 65*d**2 + 16*d**2. 7*d**2 Collect the terms in 6*w**3 + 13*w**3 + 5*w**3. 24*w**3 Collect the terms in 0*v**3 + 5*v**3 + v**3. 6*v**3 Collect the terms in 11*x**2 + 46415 - 46415. 11*x**2 Collect the terms in -22 + 27 - 5 - i + 8*i. 7*i Collect the terms in 268*o**2 - 26*o**2 - 121*o**2. 121*o**2 Collect the terms in 91*c - 11*c + 3*c**2 - c**2. 2*c**2 + 80*c Collect the terms in 53482 - s**3 - 53482. -s**3 Collect the terms in -37*j + 37*j - 45*j**3. -45*j**3 Collect the terms in -42*u**2 + 46 - 46. -42*u**2 Collect the terms in 455*t**2 - 455*t**2 - 2*t**3. -2*t**3 Collect the terms in -14*c**3 + 32*c**3 - 13*c**3. 5*c**3 Collect the terms in -25*h**2 - 26*h**2 + 52*h**2. h**2 Collect the terms in -4*h + h - 2*h + 6*h. h Collect the terms in -42 - x - 42 + 84. -x Collect the terms in -14*h**3 + 30*h**3 - 4 - 17*h**3 + 4. -h**3 Collect the terms in 0 + 5*o**2 - 3 - 1 + 2. 5*o**2 - 2 Collect the terms in 17*v**3 - 5*v**3 - 3*v**3 - 6*v**3. 3*v**3 Collect the terms in 8*s**2 - s**2 + 9*s**2 - 5*s**2. 11*s**2 Collect the terms in -12*j - 9*j + 83*j - 11*j**2 - 62*j. -11*j**2 Collect the terms in 5*n + 36 - 36 - 45*n. -40*n Collect the terms in 1 - 8 + 7 - 2*d. -2*d Collect the terms in -5 + 2 - 86*l**2 + 3. -86*l**2 Collect the terms in -8*a**2 + 300 - 602 + 302. -8*a**2 Collect the terms in 1481*y + 2*y**3 - 2945*y + 1464*y. 2*y**3 Collect the terms in 102*f - 102*f + 2*f**3. 2*f**3 Collect the terms in 15*z - 21*z - 45*z. -51*z Collect the terms in 3 + 98*i - 3 - 4*i**2 - 98*i. -4*i**2 Collect the terms in -3*d - 118*d**3 - 2*d + 5*d. -118*d**3 Collect the terms in 0*b + 2*b**2 + 5*b - b - 4*b. 2*b**2 Collect the terms in -9*b**2 + 4*b**2 + 4*b**2 - 4*b**2 - 9*b**2. -14*b**2 Collect the terms in 11*t**2 - 71 - t**2 - 10*t**2 + 2*t**3. 2*t**3 - 71 Collect the terms in 46*y**3 + 63*y**3 + 11*y**3. 120*y**3 Collect the terms in -3*w**3 - 444*w**2 + 444*w**2. -3*w**3 Collect the terms in -67*a + 38*a + 32*a. 3*a Collect the terms in 6 - 6 + 0*a + a - 3*a. -2*a Collect the terms in -25*t**2 + 50*t**2 - 4*t**3 - 25*t**2. -4*t**3 Collect the terms in 9*z - 7*z - 5*z. -3*z Collect the terms in 7*t**2 + 3*t**2 - 2*t**2 + 0*t**2. 8*t**2 Collect the terms in 3*n - 5 + 6 - 1. 3*n Collect the terms in w**2 - 572 + 572. w**2 Collect the terms in 87853*k**2 - 87864*k**2 - 5 + 5. -11*k**2 Collect the terms in 4 + 0 - 4 - 82*m**2. -82*m**2 Collect the terms in -472 - 112*r**2 + 114*r**2 + 472. 2*r**2 Collect the terms in -657 + 20*i - i + 657. 19*i Collect the terms in 6*m - 29 + 7*m + 29. 13*m Collect the terms in 167*i - 167*i + 12*i**3. 12*i**3 Collect the terms in -295*x - 87*x - 263*x + 209*x. -436*x Collect the terms in -14*m**3 - 8*m**3 + 2*m**3 + m**3. -19*m**3 Collect the terms in -3*u**3 + 52*u + 5*u**3 - 52*u + 7*u**3. 9*u**3 Collect the terms in -41*q + 5*q**2 + 41*q - 2*q**2. 3*q**2 Collect the terms in -32*j**2 + 2*j**2 - 17*j**2. -47*j**2 Collect the terms in 24 + 21 - 25*o**2 - 45. -25*o**2 Collect the terms in -9*l - 23*l + 2 - 2. -32*l Collect the terms in -1 + 5*u**3 - 2*u**3 - 10. 3*u**3 - 11 Collect the terms in 212 - 212 - 7*i**3 + i**3. -6*i**3 Collect the terms in 88*x**2 + 0*x**2 + 111*x**2. 199*x**2 Collect the terms in 16*h**2 - 1383 + 1383. 16*h**2 Collect the terms in 2*m**3 + 25809*m**2 - 25809*m**2. 2*m**3 Collect the terms in -4*w + 4*w - 4*w + 2*w. -2*w Collect the terms in -3*b**3 + 1556033*b**2 - 1556033*b**2. -3*b**3 Collect the terms in -5*q - 9*q - 7*q + 27. -21*q + 27 Collect the terms in 41*w**2 - 13*w**2 - 30*w**2 - 34*w**2. -36*w**2 Collect the terms in 1725*z**3 - 4*z**2 + 983*z**3 + 4*z**2. 2708*z**3 Collect the terms in 84*g**2 - 33*g**2 + 33*g**2. 84*g**2 Collect the terms in -59095*q + 21*q**3 + 59095*q. 21*q**3 Collect the terms in 11 - 2 + 5*g - 9. 5*g Collect the terms in 174*y - 174*y + 453*y**2 - 451*y**2. 2*y**2 Collect the terms in 6*k - 4*k + 0*k + 6*k. 8*k Collect the terms in -21*n**3 + 9*n**3 + 3*n**3 + 2*n**3 + 5*n**3. -2*n**3 Collect the terms in -3*o**2 + 27*o**2 + 18*o**2 - 11*o**2 - 4*o**3. -4*o**3 + 31*o**2 Collect the terms in 174*n + 175*n - 1 - 354*n + 1. -5*n Collect the terms in -792*a**3 + 791*a**3 - 36*a**2 + 36*a**2. -a**3 Collect the terms in -10*s**2 + 71*s**2 - 95*s**2. -34*s**2 Collect the terms in -78*p**2 + p**3 + 78*p**2. p**3 Collect the terms in s**2 + 2*s**2 + 4*s**2. 7*s**2 Collect the terms in -9*v + 19*v + 40*v. 50*v Collect the terms in -86*u + 99*u + 27*u + 110*u. 150*u Collect the terms in -90*g**3 + 89*g**3 + 60*g - 116*g + 56*g. -g**3 Collect the terms in 3*k**3 + 6*k**3 - 3*k**3 + 0*k**3. 6*k**3 Collect the terms in 1 - 94*l**3 + 95*l**3 - 1. l**3 Collect the terms in -21*o**2 + 5*o**2 - 3*o**2. -19*o**2 Collect the terms in 4*o**2 - 3*o - 1985 + 1985 + 3*o. 4*o**2 Collect the terms in 13*a**2 + 4*a**2 + 9*a**2. 26*a**2 Collect the terms in 137 - 275 + 138 - 13*n**3. -13*n**3 Collect the terms in 30*s**2 - 2 + 2 + 0. 30*s**2 Collect the terms in -100*b**3 + 4 + 102*b**3 + 2. 2*b**3 + 6 Collect the terms in 7*z**2 + 8*z**2 + 858 - 16*z**2 + 3*z**2. 2*z**2 + 858 Collect the terms in 23*r**3 - 5*r**3 + r**3 - 16*r**3. 3*r**3 Collect the terms in 3*r - 13*r - 5*r. -15*r Collect the terms in -8*q + 13 + 10 - 36 + 13. -8*q Collect the terms in 12*b**2 - 5 - 27*b**2 - 7. -15*b**2 - 12 Collect the terms in -11*w - 2*w + 9*w - 61*w. -65*w Collect the terms in -16*t**2 + 6*t**2 + 21*t**2. 11*t**2 Collect the terms in 6*c - 26*c - 12*c. -32*c Collect the terms in 20 - 11 - 9 - q. -q Collect the terms in 2535328*z**2 - 2*z**3 - 2535328*z**2. -2*z**3 Collect the terms in 22 - 50 + 4*l**2 + 28. 4*l**2 Collect the terms in -g - 21*g**2 - 20*g**2 + 75*g**2 - 23*g**2. 11*g**2 - g Collect the terms in -2*v**3 - 16*v**3 - 4*v**3. -22*v**3 Collect the terms in 12*j - 9*j - 45*j**2 + j. -45*j**2 + 4*j
Expand (-3*w**2 + 3*w**2 + 2*w**2)*(-6 + 6 - 2)*(-w**2 - w**2 - 3*w**2). 20*w**4 Expand 2*g - g - 3*g + (1 + 0 - 3)*(2 - g - 2) + g - 6*g + 6*g. g Expand ((-f - f + 0*f)*(-6 - 4 + 2) + f + 0*f - 2*f)*(3 + 2*f - 3). 30*f**2 Expand (5*n**5 - 3*n**5 + 4*n**5)*(6 + 4 + 4). 84*n**5 Expand (49 - 19*x**2 + 11*x**2 + 9*x**2)*(-4 - 1 + 2). -3*x**2 - 147 Expand (-v - 4*v + 3*v)*(2*v + 4*v - 4*v) + (5 - 5 + 3*v**2)*(0 + 3 - 6). -13*v**2 Expand -4 + 4 - o + (-47 + 169 - 48)*(-2*o - 1 + 1) + 2*o - 3*o + 3*o + (o - 4*o + o)*(1 - 2 + 3) - o + 3*o - 3*o. -152*o Expand (-5*u**2 + 10*u**2 + 12*u**2)*(-2*u**3 - 2*u**3 + u**3) + (-3*u**5 + 4*u**5 - 3*u**5)*(-4 - 2 + 4). -47*u**5 Expand 3*r**2 + 1 - 4*r**2 + 2*r + 0*r**2 + (-2*r + 0*r + 0*r)*(-5*r - 7 + 7) + r**2 + 3*r**2 - 7*r**2. 6*r**2 + 2*r + 1 Expand 0*f + 0*f - f + (-19 + 7 - 2*f + 8)*(-4 + 4 - 2)*(3 + 3 - 3). 11*f + 24 Expand (-i**2 + 6*i**2 - 4*i**2)*(i**2 + 4*i**2 - 3*i**2)*((6 + 0 - 4)*(-i + 2*i + 4*i) - 8 - 5*i + 8). 10*i**5 Expand (-7*r - r + 0*r)*(0*r**3 + 2*r**3 + 97 - 105). -16*r**4 + 64*r Expand -6*j**3 + j**3 - 5*j**3 + (2 - 5 + 1)*(0*j**2 - 2*j**3 + 0*j**2). -6*j**3 Expand 2*r**5 + r**3 - r**3 + (3*r**3 + 2*r - 2*r)*(5*r**2 - 2*r**2 - r**2) + (-2*r**3 - 3*r**3 + 4*r**3)*(-4*r**2 + 4*r**2 + r**2) - 6 - 3*r**5 + 6. 4*r**5 Expand ((2 - 1 + 2)*(1 - 4 + 1) - 2 + 1 - 5)*(7 - 7 - 12*c**2). 144*c**2 Expand (-12 + 3 - 3)*(-2 + 5 - 4)*(-8*y**2 - 2*y**2 + 6*y**2). -48*y**2 Expand (4*o + 11*o + 18*o)*(3 - 1 - 3 + (0 - 4 + 2)*(-1 - 3 + 2)). 99*o Expand (88*v**2 - 265*v**2 - 127*v**2 - 176*v**2)*(-v**2 + 3 - 3). 480*v**4 Expand (h**2 + 2 - 2)*(-3 + 3 - 7*h)*(38*h - 4*h - 4*h). -210*h**4 Expand (-26 + 26 + 16)*(-1 + 1 - 2*y - 1 - y + 1 + (-2 + 1 - 1)*(4*y - 5*y + 0*y) - 2*y - y + y). -48*y Expand 3*v**4 + 1 - 1 + (3*v**2 - 3*v**2 - v**3)*(0*v + 2*v - 3*v) + 18*v**3 + 7*v**4 - 18*v**3 - 3*v**4 - 3*v**4 + 4*v**4. 9*v**4 Expand (-99*a + 96*a + 2 - 6)*(-6*a - a + 2*a). 15*a**2 + 20*a Expand (-34 - 1 - 24)*(-3*i**3 + 5*i**2 - 5*i**2) - 2*i**3 - 1 + 1. 175*i**3 Expand (-3*w**2 + 8*w**2 + 13*w**2)*(48*w**2 - 4*w**3 - 48*w**2 - 4). -72*w**5 - 72*w**2 Expand (-5*p - 8*p + 2*p)*(2*p - p + 0*p + (-p + 0*p + 5*p)*(-3 - 2 + 2))*(-5 + 6 + 1). 242*p**2 Expand (3*p**3 + 3*p**3 - 7*p**3)*(15 + 76*p - 33 + 19). -76*p**4 - p**3 Expand (-505*o + 958 - 958)*(-3*o + 2*o + 2*o). -505*o**2 Expand (-18 - 9 - 2)*(4*l + l - 3*l)*(0 - 3 - 3). 348*l Expand (-3*i - 2*i + 3*i + (-3 + 0 + 2)*(5*i - i - 2*i))*(33*i**2 + 732*i - 732*i). -132*i**3 Expand 0*d**2 + 4*d**2 - 2*d**2 + (0*d + 0*d + 2*d**2)*(2 + 0 - 1) + d**2 + d - d + (0*d**2 + 2*d**2 + 0*d**2)*(1 + 6 - 3)*(9 - 12 - 11). -107*d**2 Expand (-3 + 5 + 0)*(w + 1 - 1) + 3*w + 0*w - w + 1 - 1 - 10*w - 4 - 9*w + 4. -15*w Expand -2*h**2 + 8*h**2 - 2*h**2 + (10 - 10 + 6*h)*(-h + 3*h + 3*h). 34*h**2 Expand 0*v + 2*v**4 + v**4 + 3*v - 10*v**4 - 39 + 39 + (3*v - v - 3*v)*(-v**3 - 2*v + 2*v). -6*v**4 + 3*v Expand (-75*z - 26*z - 11*z)*(-1 - 3 + 6). -224*z Expand (-14*u + 40*u**2 - 2*u - 36*u**2)*(0 + 1 + 0). 4*u**2 - 16*u Expand (4 - 2 + 0)*(-2*f + 2*f - 3*f)*(42 + 94 - 37). -594*f Expand w**2 + 2*w**2 - w**2 + (2 - w - 2)*(-2*w + 2 - 2) + 2*w**2 - 3 + 3 - 3*w**2 - 5*w**2 + 3*w**2 + 8*w**2 - 3*w**2 - 3*w**2. 3*w**2 Expand (-6*w + 3*w + 2*w)*(6 - 1 - 4) - 274 + 286 - 2*w + 6*w. 3*w + 12 Expand (2 - 1 - 3 + (0 + 3 - 5)*(0 + 0 + 1) - 31 - 8 - 23)*(-4 + 2*c + 4)*(0 - 3 + 1). 264*c Expand (-6*h - 4 + 4)*(1 - 1 + h**2) + 76*h**3 + 75*h**3 - 38*h**3. 107*h**3 Expand (14 - 14 + 15*f)*(3 - f - 3 + (0 + 5 - 4)*(10*f + 29 - 29) + 0 + 0 + f). 150*f**2 Expand (-7 + 7 - 2*z)*(-9*z**3 - 7*z**3 + 4*z**3) + 4*z**4 + 0*z**4 - z**4. 27*z**4 Expand (-2 + 2 + 2)*(-t - 1 + 1) + 18*t + 0*t - t - 2*t + 8 - 8. 13*t Expand -2*f**2 + 2*f**2 - f**5 + (2*f**2 - 2*f**2 + 2*f**2)*(-4*f - 2*f**3 + 4*f) + 24*f**4 - 11*f**4 - 9*f**4 + 15*f**5. 10*f**5 + 4*f**4 Expand -8 - n**4 + 6 + 14*n**4 + (-5*n**2 + 4*n**2 - 2*n**2)*(0*n**2 + 2*n**2 + n**2) + 3*n**4 - n**4 - n**4. 5*n**4 - 2 Expand (0*i + i + 0*i + (-3*i + 2*i - i)*(4 - 3 - 2) - 4*i - 4*i - 5*i)*(66*i**4 - 138*i**4 - 72*i**4). 1440*i**5 Expand (4*p + 6*p - 4*p)*(0*p**4 - p**4 + 2*p**4 + (-2 - 4 + 4)*(p**4 + 1 - 1) - 4*p**4 + 0*p**4 - 2*p**4). -42*p**5 Expand -7 + 7 + 5*w**4 + (-2*w**3 + 2*w**3 - w**3)*(-3 + 3 + 2*w) + (3 - 4 - 3)*(2 - 2 - 2*w**4) + 0*w**3 + w**4 - 2*w**3 + 4*w**3. 12*w**4 + 2*w**3 Expand (2 - 2 - 1)*(4*j**3 - j**5 - 4*j**3) + 2*j**4 + 2*j**5 - 2*j**4 + (j + 0 + 0)*(-2*j**4 - 2*j**4 + 2*j**4) + (-6 - 6 - 17)*(0*j**5 - 2*j**5 + 0*j**5). 59*j**5 Expand (-387 + 2*u**3 + 387)*(-1 + 4 - 6)*(2*u**2 + u - u). -12*u**5 Expand -n**2 + 2*n**2 - 3*n**2 + (2*n - n + 0*n)*(-n + 0*n + 0*n) - 9*n**2 + 43*n**2 - 3*n**2. 28*n**2 Expand -47*k - 7*k**3 + 47*k + (-3*k**2 - 3*k**2 + 4*k**2)*(0*k + 3*k + 0*k). -13*k**3 Expand 41*t**4 - 3*t - 38*t**4 + t - 8*t**3 + (1 - 1 - 1)*(-2*t**4 + 7*t**4 - t**4). -t**4 - 8*t**3 - 2*t Expand (-12*i + 1096*i**3 + 0*i - 1104*i**3)*(-3*i**2 + i**2 + i**2) + 0*i**4 + 0*i**4 - 2*i**5. 6*i**5 + 12*i**3 Expand (-5*x + 2*x + 2*x)*(19 - 17 + 20)*(-4*x**2 - 4*x**2 + 5*x**2). 66*x**3 Expand (12990 - 12990 - 127*b)*(1 - 9*b - 1)*(-3*b**2 + 4*b**2 + 0*b**2). 1143*b**4 Expand (16 - 53 + 16)*(-2 - 4 + 4)*(2*a - 3*a + 0*a). -42*a Expand (-40*l + 7*l + 10*l)*((-1 + 3 - 3)*(2 + 1 - 1) + 2 - 3 - 1). 92*l Expand (0*g - 3*g + 2*g)*(4 - 3 - 6) + (g + g - 3*g)*(1 - 2 + 3) + 2*g - 3*g + 0*g + 2*g + 4*g + 3*g. 11*g Expand (2*k**4 + 3*k**4 - 3*k**4)*(56 + 147*k - 56 + (-2 + k + 2)*(-5 + 0 + 3)). 290*k**5 Expand (1 - 2 + 2)*(2 - 2 + f) + (0 - 2 + 1)*(39*f - 37 + 37). -38*f Expand (-h + 0 + 0)*(-4*h**2 + 4*h**2 + 4*h**2) + 33*h**2 - 33*h**2 - h**3. -5*h**3 Expand f**4 - 5*f**4 + 2*f**4 + (-2*f**3 - 2*f**3 + 2*f**3)*(-2 + 2 - f) + 2*f - 2*f - f**4 + 2*f - 2*f + 2*f**4 + 0*f**4 + 2*f**4 + 3*f**3 + 75690*f - 75661*f. 3*f**4 + 3*f**3 + 29*f Expand 0*x**3 + 4*x**3 - x**3 + x**3 - 2*x**3 + 0*x**3 + (164*x**2 - 92 + 92)*(x + 0*x + 0*x). 166*x**3 Expand (0*u**3 + u**3 + 0*u**3)*(-7*u + u - 31*u - 2). -37*u**4 - 2*u**3 Expand (2*f**2 - 2*f**2 + 3*f**2)*(28*f**3 - 29*f**3 + 49*f**3). 144*f**5 Expand (5 - 3 - 1)*(-2*g + g - g) - 4*g + 4*g - 2*g + (4*g - 6*g + g)*(2 + 2 - 6) + 6*g - 15 + 15 + 6 + 2*g - 6 + 2 - 2 + g + (3 + 1 - 2)*(-7*g + 3*g + 3*g). 5*g Expand (2*i**2 + 0*i**2 - 4*i**2)*(-2*i + 5*i + i) - 7*i**3 + 7*i**3 - 14*i**3. -22*i**3 Expand (-g**4 + 0*g**4 - g**4)*(0 - 5 + 2) + ((4*g - 5*g + 4*g)*(0*g**3 + 0*g**3 + g**3) + 3*g + 3*g**4 - 3*g)*(-7 + 0 + 2). -24*g**4 Expand (9 - 9 + 2*v)*(151*v**2 + 21*v**2 - 29*v**2 - 2). 286*v**3 - 4*v Expand 4*m**3 - 4*m**3 - 2*m**3 - 2*m**2 + 2*m**2 + 3*m**3 + (-2*m**2 - m + m)*(-10*m - 51*m - 14*m). 151*m**3 Expand (-1 + 1 - 3)*(3 + r - 3 + (0 - 2*r + 0)*(-4 + 2 + 1)). -9*r Expand (-40 + 167 + 55)*(-o**2 + o**2 + o**3). 182*o**3 Expand (-4*s**4 + 4*s**4 + s**4)*(-2 - 1 - 3 + (0 - 2 + 7)*(0 - 4 + 2)). -16*s**4 Expand (-a - 3*a + 5*a)*(-4 + 1 + 1) + 425 - 33*a - 425. -35*a Expand (-n + 0*n + 0*n)*(-n - n**2 + n + (4*n - 5*n + 3*n)*(0*n - 3*n + n) - n**2 + 1 - 1 - 26*n**2 + 22*n - 22*n). 32*n**3 Expand (1 - 2*x**2 - 1 + x)*(-98*x + 187*x - 281*x). 384*x**3 - 192*x**2 Expand (-1170*c - 405*c**2 + 1170*c)*(0*c + 0*c + c). -405*c**3 Expand (-2 - 2*m + 3*m + m)*(-792*m**3 + 398*m**3 + 9*m**2 + 405*m**3). 22*m**4 - 4*m**3 - 18*m**2 Expand (12*z**3 + z**3 + 8*z**3)*(0*z + 2*z + 24 - 3). 42*z**4 + 441*z**3 Expand (-5*l + 5*l + 2*l)*(l - 3*l + 3*l)*(-1178 + 1178 - 29*l)*(0*l + 0*l + l**2). -58*l**5 Expand 62*o**2 - 62*o**2 + 7*o**3 + (-3*o**2 + 2*o**2 + 0*o**2)*((2*o - 3*o - o)*(-3 - 1 + 2) + 0 - 2*o + 0 + 0 + 2*o + 0)*(1 + 2 + 5). -25*o**3 Expand (1 + 4 - 4)*(-2*k**4 + 2*k**4 - k**4) - 4*k**4 + 2*k**4 + k**4 + (12*k**3 + 21*k**3 - 3*k**3)*(2*k - 3*k + 2*k). 28*k**4 Expand (0*y - y - y)*(1 - 1 - 2) + 17350 + 7*y + 10*y - 17351. 21*y - 1 Expand (234*w - 172*w + 169*w)*(w**2 - 4 + 4). 231*w**3 Expand p + 68 + 4*p**2 - 67 + p**2 + (-p + 3*p - 3*p)*(2*p - p + 0*p). 4*p**2 + p + 1 Expand (d - 3 + 3)*(1 - 2*d - 1) + ((1 - 1 - 2)*(2 - 5 + 0) + 4 - 8 + 17)*(-2*d + 0*d + d)*(-4*d + 3*d + 0*d). 17*d**2 Expand (-y + 2*y + y)*(y**2 + 0*y**2 - 2*y**2) - 58*y**3 + 4 - 5 - 112*y**3. -172*y**3 - 1 Expand (-22*k**2 - 13*k**2 + 8*k**2)*(2*k**2 - k**2 - 7*k**2). 162*k**4 Expand (1 + 0 - 2 + (-2 - 1 - 1)*(3 + 0 - 1))*(-2 + v**2 + 11*v**2 + 12*v**2). -216*v**2 + 18 Expand (3*x**2 - 4*x**2 + 2*x**2)*(-1 - 2 + 0)*(-15*x + 5*x - 10*x). 60*x**3 Expand -h**3 + 3*h**4 + h**3 + (-4 + h + 4)*(h**3 + 6*h**3 - 5*h**3) + (-4*h + 4*h + h**2)*(-5*h**2 - 6*h**2 - 8*h**2) + 0*h**4 - h**4 + 0*h**4. -15*h**4
Let u(m) = m**2 - 13*m - 28. Let i be u(14). Let l be 0 + (-4)/i - 19/(-7). Calculate the highest common factor of l and 21. 3 Suppose 0 = -3*h - 86 + 14. Let u = h + 27. Let l be (1 - 1 - -1) + u. What is the highest common factor of l and 16? 4 Suppose -2*x - 5*h + 24 + 23 = 0, -4*x = 2*h - 54. Let t(i) = -i**3 + 11*i**2 + 4*i + 12. Let y be t(x). Calculate the highest common divisor of 16 and y. 8 Let n(a) = -a**3 - 11*a**2 + 10*a + 6. Let b be n(-12). Let t = b - 22. Calculate the greatest common factor of t and 56. 8 Let j(o) = 9*o**2 + 3*o + 1. Let i be j(-1). Suppose z + 3*s = s + 7, 2*z - 14 = 4*s. Calculate the highest common factor of i and z. 7 Let r(a) = -6*a**2 - 11*a - 2. Let j(m) = -5*m**2 - 10*m - 2. Let v(o) = 7*j(o) - 6*r(o). Let c be v(6). What is the greatest common divisor of c and 10? 10 Let m = -117 + 122. What is the highest common factor of 5 and m? 5 Suppose -80*n = -79*n - 40. Let m be (-6)/8 - 1932/(-16). Calculate the greatest common factor of m and n. 40 Let c = 124 + -115. Let u be (4 - c/2)/(2/(-36)). Calculate the highest common factor of 1 and u. 1 Let b be 258/21 + ((-74)/14 - -5). Suppose 2*o + 63 = 9. Let h be 6/o + 56/9. Calculate the highest common factor of b and h. 6 Let p(i) = 0 - 6*i**2 + 7*i**2 - 4. Let j be p(4). Let v be (12/7)/(3/21). Calculate the highest common divisor of v and j. 12 Suppose 63 = -4*y + 91. What is the highest common factor of 161 and y? 7 Let g be 10/9 + (-30)/270. Let w(i) be the first derivative of 6*i**3 - i + 3. Let j be w(g). What is the greatest common factor of 85 and j? 17 Suppose -31*u + 43*u = 288. Calculate the highest common factor of u and 9. 3 Suppose 78*x + 1452 = 81*x. Suppose -a = -3*b + x, b + 21 = 2*a + 189. What is the highest common factor of 20 and b? 20 Let n be (16/(-20))/(4/10). Let i be (-58)/(-10) + n/(-10). Let r be (-1 + -1)*(-33)/i. Calculate the greatest common divisor of 88 and r. 11 Let a(z) = 2*z + 17. Let l be a(-22). Let o = -3 - l. Suppose -8 = -3*b - 5*i, 0 = 3*b + 4*i + 2 - 12. What is the greatest common factor of b and o? 6 Let z(b) = 3*b + 50. Let f be z(-11). Let r(v) = -v**3 + 18*v**2 - 15*v - 14. Let q be r(f). Calculate the highest common factor of q and 12. 4 Let i(b) = -b**2 - 11*b + 31. Let c be i(2). What is the highest common factor of c and 25? 5 Suppose 93 = 4*y + 1. Let w = y - 7. What is the highest common factor of w and 2? 2 Suppose l - u - 2*u - 529 = 0, 1647 = 3*l + 3*u. Calculate the highest common divisor of 204 and l. 68 Let o be 8533/77 + (-2)/(-11). What is the highest common divisor of 74 and o? 37 Let i(o) = 15*o**2 + 5*o + 1. Let p be i(-2). Calculate the greatest common factor of p and 119. 17 Suppose 0 = 2*f - 46 - 108. Suppose 38*n - 4*d + 21 = 41*n, 2*n - 3*d - 31 = 0. What is the highest common factor of f and n? 11 Let i = 108 + 134. What is the greatest common factor of 88 and i? 22 Suppose 4*m - 24 = 2*c, -3*c - 6 = -0. Suppose -4*r + 37 = -m*w, 4*r + 4*w + 7 = -1. Suppose 17 = r*y - 28. What is the highest common divisor of 15 and y? 15 Suppose z = -4*z + 145. Let d = -2834 - -2863. Calculate the highest common factor of d and z. 29 Let b(w) = -w**2 - 6*w + 7. Let r be b(-7). Suppose y = -3*y - 3*k - 337, 5*y + 3*k + 422 = r. Let l = y + 184. What is the greatest common factor of l and 9? 9 Suppose 132 = -7*q + 412. Suppose 8*g + 8 = q. Calculate the greatest common divisor of g and 10. 2 Suppose 593*g - 588*g = 50. Let c be (0 - -10)/(4/2). What is the highest common divisor of c and g? 5 Let a(h) = -h**3 + 4*h**2 + 6*h. Let r be a(5). Suppose -5*w + 5*m + 20 = 0, -2*w + 4*w - r*m - 8 = 0. Calculate the highest common divisor of w and 4. 4 Let b = -42 + 60. Let u be 5*((-6)/b)/(1/(-21)). What is the greatest common divisor of 105 and u? 35 Suppose 0 = 3*t + 5*x - 62, 3*t - 53 = -x - 7. What is the greatest common factor of t and 413? 7 Suppose 5*b + 32 = 4*f, 2*b = 4*f + f - 23. Suppose f*p - 76 + 61 = 0. Suppose -5*j + 83 = -2*w, w - 9 + 28 = j. Calculate the highest common factor of j and p. 5 Let x(h) = 31*h**2 + 8*h + 14. Let i be x(-2). What is the greatest common factor of i and 61? 61 Let c(g) = -3*g**2 + 5*g. Let m(d) = -10*d**2 + 14*d. Let w(y) = 8*c(y) - 3*m(y). Let s be w(-1). What is the greatest common factor of s and 56? 8 Let t(g) = g**2 + 2*g + 3. Let p be t(0). Suppose p*s - 44 = -s. What is the greatest common divisor of 11 and s? 11 Let l(v) be the second derivative of -v**3/6 + 5*v**2/2 + 8*v. Let h be l(-8). Suppose 23 = a - h. Calculate the greatest common factor of 24 and a. 12 Let t be (-1)/(((-6)/396)/(3/6)). Suppose 0*w + 3*p - t = -w, -p = 1. Calculate the greatest common factor of w and 162. 18 Let u(x) = 320*x**2 + 33*x - 119. Let k be u(3). Calculate the greatest common divisor of k and 11. 11 Let x = -263 + 270. Let k be ((-70)/3)/((-1)/3). Let y be k*(-2)/8*-2. What is the greatest common divisor of x and y? 7 Suppose -5*o + 32 + 58 = 0. Let b = -568 + 304. Let v be b/(-18)*27/2. What is the highest common divisor of o and v? 18 Let m be (-142)/(-4) - (-2)/4. Suppose -w = -4*l, m = w + w + l. Suppose -12*q + 145 = 121. What is the highest common factor of w and q? 2 Let h(v) = -3*v - 20. Let s = 20 + -16. Let p(m) = -2*m**2 + 4*m + 2. Let d be p(s). Let g be h(d). Calculate the highest common factor of g and 22. 22 Suppose 2*t - 4 = 0, -3*w + 2*t - t + 7 = 0. Suppose -2*o + 5*c = -0*c + 49, -w*o - 3*c = 21. Let i = 20 + o. Calculate the highest common divisor of i and 8. 8 Let s be (-8)/(-14) + (-2782)/91. Let d be (-3)/((-12)/(-8)) + s/(-1). Let f(i) = 7*i. Let m be f(6). Calculate the highest common divisor of d and m. 14 Let l = -1004 + 1557. Calculate the greatest common divisor of 237 and l. 79 Let s be (-8)/144*4*-9. Calculate the greatest common factor of s and 34. 2 Let p = -5 + 8. Let o be 1/(-1) - (p + -6). Suppose 64 = o*x - 136. Calculate the greatest common factor of 40 and x. 20 Let n(a) = 7*a - 37. Let q be n(7). Calculate the greatest common divisor of q and 116. 4 Let i = 109 - 65. Suppose 0 - 7 = -q - 4*l, -2*q - 2*l = -8. Suppose -5*t = 2*v - 17, -4*v + q*t = 5*t - 42. What is the greatest common divisor of v and i? 11 Suppose 56*l - 54*l = 344. What is the greatest common divisor of 4 and l? 4 Suppose -2*k = a - 124, 4*a = -3*k - 59 + 235. Suppose 5*p - 32 = p. Calculate the highest common factor of p and k. 8 Let g be 150/(-2 + -1)*-10. Suppose -2*w = 8*w - g. What is the highest common divisor of 30 and w? 10 Let m be (1 + 0)*(-12)/(-2). Suppose 0 = -2*v + 26 + 106. Calculate the greatest common factor of m and v. 6 Let j(i) = -i**3 - 49*i**2 - 46*i + 119. Let l be j(-48). Let w(b) = 11*b**2 - 2*b. Let t be w(-4). Calculate the greatest common factor of l and t. 23 Let w = -2123 - -673. Let c = w - -4710. Let t be c/80 - (-6)/(-8). What is the highest common factor of t and 10? 10 Suppose 0 = 4*k + 3*b + 22 - 42, -2*k = -b. What is the highest common factor of 47 and k? 1 Suppose 0 = 2*r - f - 79, 0 = -3*r - 48*f + 53*f + 108. Calculate the highest common factor of 369 and r. 41 Suppose -3*s + 7*b = 3*b - 33, 4*s + 2*b = 66. Suppose -s = 3*u, -m - u = 3*u - 55. Let d = -12 - -37. What is the greatest common divisor of d and m? 25 Suppose 3*g = 5*g + u - 32, -5*u + 7 = g. Let r = -9 + g. Suppose -4*x + r = -4. What is the greatest common divisor of x and 15? 3 Let w be (1 - 7/4)/(6/(-2520)). What is the highest common factor of w and 45? 45 Let u be 0/(1 + -2) - -21. Let y = -115 - -119. Suppose -5*c + 826 = 3*f + 128, -5*f + 1151 = -y*c. Calculate the highest common divisor of f and u. 21 Suppose -2*b - 4*x + 188 = 0, 3*b = -x + 2*x + 268. Let q = b + -88. Calculate the highest common divisor of q and 18. 2 Suppose 4*z + l + 15 = 5*z, -2*l + 18 = z. What is the greatest common factor of z and 3? 1 Suppose 6*d = -4*d + 300. Suppose c = -u + 17, c + 3*u = 4*c - 21. Calculate the highest common divisor of c and d. 6 Let p(g) = -29*g - 359. Let k be p(-13). What is the highest common factor of 2682 and k? 18 Let y be (10/(-6))/(-8 - 855/(-108)). Calculate the highest common factor of 460 and y. 20 Let r(q) = 3*q - 12*q**2 - q**3 - 27 - 16*q + 19. Let d be r(-11). Calculate the greatest common factor of d and 14. 14 Let r(n) = -n**2 - 27*n + 18. Let a be r(-9). What is the greatest common factor of 225 and a? 45 Let m be -4 - -184 - (5 + -5 + 2). What is the greatest common factor of 267 and m? 89
Let m = -2794 - -4847. Is m prime? True Is 47*10 - (5 + (-36)/6) composite? True Let n(y) = 4*y**2 - 1 + y**3 - 2 + 5. Let x be (-6)/4*56/21. Is n(x) composite? False Suppose -3*t + t = 12. Let r(m) = m. Let g(b) = 2*b**2 + 4*b + 7. Let y(l) = g(l) + 6*r(l). Is y(t) prime? True Let t(n) = -37*n**3 + n**2 + 2*n + 1. Is t(-1) prime? True Let l = -9 + 1. Let x(w) = 3*w**2 + 9*w + 9. Let m be x(l). Suppose -3*i - 3*q + m = 0, -2*i - q = 3*q - 86. Is i composite? False Let f be 50/(-8) - (-3)/12. Let h be 1298/9 - f/(-27). Is h + 2*2/4 prime? False Suppose 6*k - 4*i - 3555 = k, -3*i - 2843 = -4*k. Is k prime? False Let o(m) = 24*m + 11. Let z be o(8). Suppose 6*c - 3*c + 205 = l, -4*c - z = -l. Is l prime? True Let s = -10 - -15. Is 157/s - (-14)/(-35) composite? False Let f be (-788)/16*1*-4. Let g = -78 + f. Is g a composite number? True Let l(q) = -q**2 - 8*q - 1. Let s be l(-7). Suppose 2*k - 2 = 2*p, 0 = 5*p + 3*k - 5 - s. Is (-37)/p*2/(-2) a composite number? False Suppose 5*t = 10, -5*t - 6 = 3*x - 22. Suppose 21 = m + x. Is m prime? True Suppose -5*i = -a - 5673, 4*i + 3*a - 4546 = -0*i. Is i a prime number? False Is 8/(-28) - 214/(-14) a composite number? True Suppose -15*q = -10*q - 28315. Is q composite? True Let x = -2 - -1. Let j be 0*x/2*1. Suppose -4*o = -o - h - 289, -5*h - 20 = j. Is o composite? True Let x(i) be the first derivative of -i**7/420 + i**6/180 + i**5/30 + i**4/8 + i**3 + 1. Let s(h) be the third derivative of x(h). Is s(-2) prime? True Let a(u) = 4*u**3 - 12*u**2 - 12*u - 13. Let g(q) = 11*q**3 - 37*q**2 - 36*q - 39. Let i(c) = 8*a(c) - 3*g(c). Is i(14) prime? False Let r(i) be the third derivative of 19*i**5/60 - i**2. Is r(1) a composite number? False Let a be (-68)/4 - (-2)/1. Let i = a - -62. Is i a composite number? False Suppose 0 = -5*f + 2*b + 3069 + 96, 5*b = 2*f - 1287. Is f a composite number? False Let r be -6*13 + 3 + -2. Let n = -19 - r. Is n a composite number? True Suppose -j = -2*o + 204 + 629, -o + 4*j = -427. Is o prime? False Is (-1 + 2)*-17*-79 a prime number? False Suppose 12*p = 5*p + 5019. Is p a prime number? False Let f = 18 - 11. Is (-10)/35 + 583/f prime? True Let k = -217 + 398. Suppose -3*h + 5*w = -6*h + k, 0 = h - w - 55. Is h a composite number? True Let a be 894/2 - (-2)/(-1). Let g = 752 - a. Is g a composite number? False Let j(n) = -11*n**3 - 4*n**2 - 11*n + 5. Is j(-7) a prime number? True Is (-8)/28 + (-15390)/(-14) composite? True Let x(n) = -119*n - 2. Let o be x(-2). Let g = 3 - -106. Let y = o - g. Is y composite? False Let h = 2 - -2. Suppose -25 = -5*l + b + h*b, 0 = -3*l - 3*b - 3. Suppose 2*f + l*w - 290 = 0, w = -5*f - w + 725. Is f prime? False Let n = 0 - -3. Suppose 0 = n*f - f + 10. Is (-112)/f - (-3)/5 a composite number? False Let w(b) = -b**3 + b**2 - 4*b + 3. Let f be w(2). Let k = f + 8. Is (413/(-21))/(k/3) a composite number? False Let m be 2/2*(-3 + 6). Let s be m/(-4) - 447/(-4). Suppose -36 = 3*o - s. Is o prime? False Let m = -248 - -507. Is m a prime number? False Suppose -m - 5494 = -2*g - 2*m, 8259 = 3*g - 3*m. Is g a prime number? True Let u = -97 + 151. Suppose 2*s = 2*p - 88, -p - s = 3*s - u. Is p a composite number? True Suppose 0*n = 4*z + 4*n - 1272, 0 = -n - 5. Is z a prime number? False Let s be 1*50*1 - -1. Let m = 182 - s. Is m prime? True Suppose -2*k + 3*a = 5*a - 124, k + 5*a = 74. Is k prime? True Let g(p) = p**3 + 4*p**2 + 4*p + 3. Let q be g(-3). Let b = -4 + 6. Suppose q = b*j - 0*j - 134. Is j composite? False Let v(y) = 86*y**2 - 1. Let h be v(-1). Let s = h - 32. Is s prime? True Suppose r - 6*r + 7495 = 0. Is r composite? False Let j(y) = 2*y**2 + 5*y - 9. Let f(m) = m**3 - 3*m**2 + 2*m - 1. Let c be f(2). Let t(n) = n**2. Let q(u) = c*j(u) + 3*t(u). Is q(6) a prime number? False Let z(r) = 11*r**2 - 13*r + 1231. Let g(f) = -5*f**2 + 6*f - 615. Let u(k) = -13*g(k) - 6*z(k). Let m be u(0). Suppose -y + m = 2*y. Is y a prime number? False Let k be -9 + (2 - (-2 + 1)). Let l be -6*k/(-9)*-59. Suppose y + 380 = 5*q, -3*q + 2*y - 3*y + l = 0. Is q prime? False Let q be (-1 + 9/2)*46. Let a = q + -28. Let o = a - 80. Is o composite? False Let t = 3701 + -1548. Is t a composite number? False Suppose -2*q - 114 = -q + 5*l, -2*l + 651 = -5*q. Let o = q + 85. Is (o/(-10))/(1/5) a prime number? False Let w = -537 + 1071. Suppose -5*q = -3*f + 341 + 1280, -4*f = -2*q - 654. Let h = q + w. Is h a prime number? True Suppose 267 = 3*n + 4*z, z + 2*z = -5*n + 456. Let d = -44 + n. Is d a composite number? True Let v(y) = 2*y - 2. Let k be v(3). Suppose 3 = -5*w - 2, 4*w - 52 = -k*z. Is z a composite number? True Is (-27056)/(-48) + 4/(-6) prime? True Let i(m) = m**3 - 7*m**2 - m + 6. Let j be i(7). Let a = j + 14. Is 1/(a/(-7) - -2) prime? True Let k = -9 - -24. Suppose -19 = 3*s + 41. Let i = k - s. Is i composite? True Let a = 441 + -240. Is a prime? False Let h = 1 + 9. Suppose 0 = 2*o + 3*o + h. Let f = 87 - o. Is f composite? False Suppose 0*k - 40 = -5*k. Let o be 7/28 - (-14)/k. Is (-2)/1*(-15)/o a prime number? False Suppose 0 = -h - 4 + 5. Is h/2*(643 + -1) a prime number? False Suppose 2*q - q + 154 = 5*y, -89 = -3*y + 4*q. Is y composite? False Suppose 444 = c + 2*k, -369 = -2*c - 3*k + 523. Suppose 3*u - 5*f - 5 = 0, 2*f - 2 - 2 = 0. Suppose -u*m = -c - 363. Is m composite? False Let t = 0 - 2. Let y(f) be the third derivative of -f**4/6 + f**3/6 + 3*f**2. Is y(t) a composite number? True Let k be ((-5)/(-10))/((-2)/28). Let h(b) = b**2 + 6. Is h(k) a composite number? True Let k(i) = -434*i - 27. Is k(-4) prime? True Let z(l) = 153*l - 7. Let o(s) = -230*s + 11. Let k(d) = -5*o(d) - 8*z(d). Is k(-2) a composite number? False Suppose s + 2*q = -2*s + 4445, -5*q = 5*s - 7410. Is s a prime number? True Suppose -m + 322 = 4*t - 101, t - 5*m - 111 = 0. Is t composite? True Is -14 + 1334 - (2 - 1)*1 prime? True Let y = 22 + -13. Let w = 7 + -3. Suppose -w*q - 170 = -y*q. Is q prime? False Is (-2 + (-3 - -6))*38 a prime number? False Let j = 18 + -18. Is (1 - -37) + -1 + j a prime number? True Suppose -4*i + 2*t = -16, 2*i + 4*t + 4 + 8 = 0. Suppose 0 = 3*m - 0*l - i*l - 397, l = -2. Is m a prime number? True Suppose -115 = -2*b - 3*b. Suppose i - 106 + b = 0. Is i a composite number? False Let j(d) = -84*d - 20. Let o be j(-3). Let z = -530 + 365. Let f = o + z. Is f composite? False Let l(r) = 21 - 2*r - 44 + 22. Let m = -7 - -5. Is l(m) a prime number? True Is (155/(-15))/((-1)/3) a composite number? False Let a(i) = i - 2. Let u be a(3). Let m be -5 + 6 - (u + -2). Suppose 3*q - 22 = -0*r + m*r, q + 2*r = 2. Is q a prime number? False Let n = 34 + 31. Is n a prime number? False Is -477*5/45*-3 a composite number? True Suppose u + 4*y = 22, 2*y - 2 = -3*u + 14. Let g(a) = -4*a**2 + 0*a**2 - 1 - a - 20*a**3 + 3*a**u. Is g(-1) a composite number? False Suppose -3*v + 4*y - 15 = 0, 2*v - y + 5*y = 10. Is (267/(-9))/(v/3) composite? False Let r(u) be the second derivative of u**3/6 + u**2/2 - u. Let x be r(-5). Is ((-84)/(-16))/((-1)/x) composite? True Let t(j) = 17*j**2 - j. Let u be t(-1). Let l = -19 + 12. Let n = u + l. Is n a composite number? False Suppose 3*n + 123 = 2*d, d + 2*n = -3*n + 68. Is 4/(-18) - (-2345)/d a prime number? True Suppose 0 = -3*v + v - 3*g + 1, -2*v + 7 = -3*g. Suppose -v*p - 3*p = -j + 67, -2*j = 2*p - 110. Is j a prime number? False Is (1268/6)/((-4)/(-6)) composite? False Suppose u + 4*p = 207, -612 + 209 = -2*u + 3*p. Is u a prime number? False Suppose 4*b - 1708 - 10 = 3*p, -3*p + 6 = 0. Is b a composite number? False Let j(d) = -13*d**3 + 4*d**2 - 12*d - 8. Is j(-5) prime? True Let g = 54 - 28. Let t = 11 + -18. Let d = g + t. Is d a prime number? True Let m = 121 - -436. Is m a prime number? True Let x = 3 + 4. Suppose -77 = -q + 5*n, 0 = -x*q + 4*q + 3*n + 195. Is q a prime number? False Suppose 2*u - 17 + 7 = 0. Suppose -2*d + 5 = -u. Suppose p = 2*x - 134, d*x + p + 2*p = 357. Is x composite? True Let v(n) = -55*n + 16. Is v(-9) a composite number? True Suppose -4*q - 4 + 0 = 0. Let u = -4 - q. Is (-1 - u)/((-2)/(-19)) a composite number? False Suppose -k + 5*y = -123 - 84, 4*y - 16 = 0. Suppose 5*b - x - k = 0, -3*b + 0*x + 123 = -5*x. Suppose -3*g + g = -b. Is g prime? True Is 1/(2/(-3)*(-12)/19432) a prime number? False Let a be (2/(-2))/(-1) + 23. Let h = a - 66. Is -2 + h/(4/(-2)) prime? True Suppose r + 4*r = 4*i - 1781, -4*i - 1749 = 5*r. Let a = 1064 + r. Suppose 0 = 4*o + v - 649, -2*v + 104 + a = 5*o. Is o a composite number? True
Let s = -147/130 + -24/65. Sort s, -1/5, -2/59 in descending order. -2/59, -1/5, s Let k = 136 + -228. Let t be 6/(5 - k/(-16)). Put 0, 3, t, 5 in increasing order. t, 0, 3, 5 Suppose 5*c - 2 - 3 = 0. Let p be (0 - c)/(3/24). Let h = -13 - p. Put 3, 4, h in ascending order. h, 3, 4 Let u = 5 - -5. Let i be 66/(-30) + 2/u. Suppose 2*d + 20 = -5*f - 1, 0 = 5*d - 3*f + 6. Put i, 2, d in descending order. 2, i, d Let k be ((4/(-10))/(7 + -5))/(24/60). Let g = 4 - 3.7. Sort 1/5, g, 1/3, k in descending order. 1/3, g, 1/5, k Let c = -0.38 - 9.62. Let g = 9.6 + c. Put 3, 22, g in ascending order. g, 3, 22 Suppose -4*u + 8 = -4. Suppose 5*d + 12 = -u. Put -2, d, 1 in decreasing order. 1, -2, d Let z(o) = -o**2 + 10*o + 27. Let f be z(12). Suppose f*d = 3 + 3. Sort 0, 1/6, d. 0, 1/6, d Suppose -169 + 109 = -5*x. Put x, 4, -2 in ascending order. -2, 4, x Let a = 0.54 + -0.04. Let u = 85 - 85.5. Sort -2.4, a, u in descending order. a, u, -2.4 Let q = -9 - -15. Suppose 3*k - q*k + 9 = -2*n, -4*k = 2*n - 12. Let z = 76 - 72. Sort z, 3, n in descending order. z, 3, n Let o = 0.4 + -0.9. Let q be 106/(-1)*(-6)/(-12). Let w = q - -211/4. Put o, 0.5, w in increasing order. o, w, 0.5 Suppose -j + 3 = -0*j. Suppose -4*t + 3*t + 9 = -3*l, j*t = -l - 23. Suppose -5*s - 2 = -6*s. Put 1, s, t in decreasing order. s, 1, t Let c = -4.5 - -2. Let u = c + 4.5. Let a = 2352/11 - 214. Put a, 3, u in decreasing order. 3, u, a Suppose 44*p = 56*p + 1524. Sort -3, 5, -1, p in increasing order. p, -3, -1, 5 Suppose 5*c + 2*w = 29, -w - 1 = -3*c + 12. Let n = -44 - -43. Put 8, c, n in decreasing order. 8, c, n Let v(b) = -31*b - 311. Let u be v(-10). Put -28, u, 4, 0 in increasing order. -28, u, 0, 4 Let c be 5/9*(-2)/5. Let n = 0.58 - 21.58. Let i = 22 + n. Sort c, 4, i in decreasing order. 4, i, c Let x = -1454 - -7269/5. Put 7/2, 1, x in decreasing order. 7/2, 1, x Suppose 183*i = 207*i + 2784. Sort 5, -3, i, -1 in ascending order. i, -3, -1, 5 Let a(o) = -2*o**2 + 9*o + 98. Let d be a(13). Sort 4, 5, -3, d in decreasing order. 5, 4, -3, d Let r be (2 - 1)/(3/(-66)). Sort r, 2, 3. r, 2, 3 Let r(x) = -5*x - 187. Let h be r(-36). Put 4, -1, -3, h in ascending order. h, -3, -1, 4 Let d = 32.979 + -32.679. Suppose -h - 16 = 3*h. Let b = 0.41 - 0.01. Sort h, b, d in decreasing order. b, d, h Let q = -10 + 14. Let a = q + -3.5. Let y = -81 + 81.1. Sort y, a, 1 in decreasing order. 1, a, y Let v be -2 - 0/(-1*2). Let h = 281.1 - 282.1. Put h, 1, 3, v in descending order. 3, 1, h, v Let n = 715 - 712. Sort n, 4, -1, 2 in decreasing order. 4, n, 2, -1 Let s = 0.3 + -10.3. Let y = s - -10.7. Put -1, 4, y in descending order. 4, y, -1 Let p(b) = 5*b - 3. Let a be p(3). Let s be -3*(-28)/a + -3. Let o be 1*-6*3/(-6). Sort s, o, -3 in descending order. s, o, -3 Let g be (-4 + 2 + 4)/(-68 + 71). Sort -0.2, 1, g, 5 in increasing order. -0.2, g, 1, 5 Let u = 31 + -36. Sort 15, 3, -1, u in decreasing order. 15, 3, -1, u Let b(h) = h + 11. Let w be b(-8). Let r = 23.7 + -24. Sort r, -3, w in descending order. w, r, -3 Let t = -12 + 7. Let p = 4 + t. Let z be -2 + p - -2*2. Put z, -1, 5 in ascending order. -1, z, 5 Let k = -130 - -129. Put -2/5, k, 0.1, 0.3 in decreasing order. 0.3, 0.1, -2/5, k Let z be -11*(-26)/429 - 1. Put -0.02, 1/7, z, -4 in ascending order. -4, z, -0.02, 1/7 Let i be -3 + (-18)/(-30) + 498/195. Put 1/3, -0.4, i in ascending order. -0.4, i, 1/3 Suppose -3*z - 8 = -4*h + 11, 2*z + 14 = 4*h. Sort -1, -5, -4, h in increasing order. -5, -4, -1, h Let c = -15 - -15.12. Let g = -0.88 + 0.38. Put -3, c, g in descending order. c, g, -3 Suppose 42 - 55 = -4*o - p, 0 = -5*o + 2*p + 13. Put 5, o, -3, -152 in descending order. 5, o, -3, -152 Let n = -164 + 169. Sort 67, n, -1. -1, n, 67 Let v(o) = -4*o + 10. Let p be v(-4). Let x = 23 - p. Sort -10, x, 0.3 in increasing order. -10, x, 0.3 Let i(v) = -2*v**2 - 6. Let q be i(9). Let d be (-128)/q + 6/(-14). Let u be (3/12)/(15/(-24)). Sort 1, u, d in descending order. 1, d, u Let w(h) = -20*h - 260. Let z be w(-15). Put z, -4, 1 in ascending order. -4, 1, z Let y be (-34)/3*((-2)/4 - 1). Put -0.1, 3, 5, y in decreasing order. y, 5, 3, -0.1 Let y = 47 - 50.72. Let o = -0.28 + y. Let a(q) = q**3 - 5*q**2 - 5*q - 1. Let n be a(6). Sort o, n, -2/9 in ascending order. o, -2/9, n Let j be (-27)/108 + (-2)/(-28)*(-63)/(-18). Let p be (-1 + -1)/(1/(-1)). Suppose -6*m = -2*m + x - 16, -35 = -5*m - 5*x. Sort m, j, p in increasing order. j, p, m Let n = 0.05 - -9.95. Let r = -5 + n. Let d = r - 5. Sort 4, d, -1/4 in descending order. 4, d, -1/4 Suppose 0 = 31*i - 25*i - 12. Put -2, 3, -4, i in decreasing order. 3, i, -2, -4 Let c be 8/(-10)*(84/(-8) - -3). Suppose c = 18*v - 16*v. Suppose z + 2 = -2*l, l - 5*z = -z + 8. Sort l, v, -3 in decreasing order. v, l, -3 Suppose -5*s - 2*m = -43, -4*s + 7*s + 4*m = 37. Sort s, 1, -6 in ascending order. -6, 1, s Let b = -0.06 + 0.26. Let w = -0.063 + -0.037. Sort -2/3, -5, b, w in increasing order. -5, -2/3, w, b Suppose 1 + 2 = 3*f. Let p be 8 + (-23 - -9) + -8. Sort -3, f, p in decreasing order. f, -3, p Let h(g) = -g**2 - 13*g + 195. Let o be h(-22). Suppose 3*y + 18 = -0*a - 3*a, 3*a - 5*y + 26 = 0. Sort 3, o, -4, a in decreasing order. 3, o, -4, a Let r = -4 - 2. Let g = 6 + r. Suppose g*q = q. Sort -2, 1, q. -2, q, 1 Let g(p) be the second derivative of -p**4/12 - 13*p**3/6 - 6*p**2 - 10*p. Let n be g(-12). Let x be (-1)/(-3)*(n + -15). Put -3, -4, x in increasing order. x, -4, -3 Suppose -c = -2*c + 1. Suppose 7*g = 8*g. Suppose g = -8*z + 3*z - 5. Put -4, c, z in decreasing order. c, z, -4 Suppose -11*d - 171 = -182. Let h = 2/65 + 24/65. Sort h, 0, d in descending order. d, h, 0 Let d = 83 + -33. Let s = d + -52. Sort 1, -21, s. -21, s, 1 Let z be (-11 - 0)*10/(-16 + 6). Sort 2, 1, z. 1, 2, z Let n = 287 + -292. Sort n, 0.1, -0.2, 3 in descending order. 3, 0.1, -0.2, n Let p be -3*(15/(-9) - -2). Suppose -m - 3*b = 10, 0 = m - 0*b - 5*b - 30. Let y be (8/(-2))/(10/m). Sort y, -6, p in ascending order. -6, y, p Let w(a) = 132*a + 268. Let r be w(-2). Sort 17, 3, r. 3, r, 17 Suppose 2*f + 36 - 26 = -a, -3*f - 3 = 0. Put 3, 10, a, 4 in increasing order. a, 3, 4, 10 Let z(w) be the second derivative of -w**5/20 + 7*w**4/12 - 7*w**3/6 + 7*w**2/2 + 13*w. Let r be z(6). Sort 5, -12, r in descending order. 5, r, -12 Let i = 256.4 - 256.5. Let x = 0 - 0. Put -3, x, i in descending order. x, i, -3 Let p = -364 + 364.1. Let g = -0.48 - -0.08. Sort 0.4, g, p, -4. -4, g, p, 0.4 Suppose 3*i = i. Suppose 2*u + i = 10. Put 2, u, -4 in descending order. u, 2, -4 Let c be (-8)/18 - (-550)/(-99). Put -1, c, 7 in decreasing order. 7, -1, c Let s(t) = -t**3 + 5*t**2 - 3*t - 2. Let m be s(4). Let r be (-12)/(m/(-8)*6). Put 5, r, 3 in decreasing order. r, 5, 3 Let w = -3 + 6. Let p(c) = -c**3 - 11*c**2 - 17*c + 11. Let s be p(-9). Suppose 146 = -s*q + 154. Put q, 0, w in increasing order. 0, w, q Let u(q) = 48*q + 424. Let a be u(-9). Sort -4, a, -7 in increasing order. a, -7, -4 Let p(r) = r**2 + r - 3. Let j be p(-3). Suppose -913 = 21*g - 1039. Sort j, g, 5 in descending order. g, 5, j Let t be (-1027)/(-165) + -1 - (-28)/(-210). Put t, 3, -2/7, 1/2 in decreasing order. t, 3, 1/2, -2/7 Let q be -1 - (75 + -80)*(2 + -1). Sort -69, 1, q. -69, 1, q Suppose -122*t + 124*t - 4 = 0. Put 0, 4, t in ascending order. 0, t, 4 Let t = -241 - -245. Sort -1/2, t, 3, -10 in ascending order. -10, -1/2, 3, t Suppose -4*s + 0*s + 16 = 0. Let y(z) = z**2 - 10*z - 204. Let i be y(-10). Put i, 3, s in ascending order. i, 3, s Let x(j) = -j**3 + 6*j**2 - j + 1. Let a be x(6). Suppose 35*c + 30*c - 260 = 0. Sort a, c, -1. a, -1, c Let c = 427/60 + -103/15. Sort -1/41, 0.08, c. -1/41, 0.08, c Let p be 6/(-8)*2/(-15). Let i be (-5)/(250/(-4))*5020/(-48). Let c = -41/5 - i. Sort 1/5, c, p in decreasing order. 1/5, c, p Let j = -18 - -13. Let q = -0.0368 - 61.5632. Let o = q - -62. Put o, j, -1 in decreasing order. o, -1, j Suppose 2*g = -2*p - 12, 19*p - 12 = -3*g + 22*p. Put g, 3, 5 in decreasing order. 5, 3, g Suppose 37*m - 36*m + 5 = 0. Let n(u) = -28*u**3 + u. Let p be n(-1). Let i be 7/3 + 18/p. Sort -2, m, i in ascending order. m, -2, i Suppose -2*w = -5*w + o + 2, 0 = -3*w + 5*o + 10. Suppose 4*k - k + 2*d + 20 = w, -2*k + 12 = -5*d. Put -3, k, 5 in ascending order. k, -3, 5 Let o be ((-1518)/(-231) + -7)/((-1)/(-7)*-1). Suppose 0*w = 3*n + 2*w + 3, 3*n + 5*w = -3. Let y = 0 + n. Sort y, 1, o. y, 1, o
List the prime factors of 10637724. 2, 3, 67, 101, 131 What are the prime factors of 56526338? 2, 11, 43, 59753 List the prime factors of 557837174. 2, 278918587 List the prime factors of 167619739. 7, 29, 117959 List the prime factors of 41922403. 4273, 9811 List the prime factors of 22036021. 7, 3148003 What are the prime factors of 391419352? 2, 1009, 48491 List the prime factors of 25077513. 3, 103, 81157 List the prime factors of 1920853072. 2, 199, 603283 List the prime factors of 66272926. 2, 353, 93871 List the prime factors of 34934840. 2, 5, 71, 12301 List the prime factors of 471784143. 3, 1597, 98473 What are the prime factors of 2527782? 2, 3, 53, 7949 List the prime factors of 101086455. 3, 5, 61, 110477 List the prime factors of 222860929. 222860929 List the prime factors of 1290858008. 2, 11, 17, 47, 1669 List the prime factors of 717810044. 2, 7, 19, 277, 4871 List the prime factors of 102754656. 2, 3, 29, 1367 List the prime factors of 336346195. 5, 113, 595303 List the prime factors of 386296640. 2, 5, 691, 1747 What are the prime factors of 5905954990? 2, 5, 13, 823, 55201 What are the prime factors of 20614731? 3, 97, 70841 What are the prime factors of 116947475? 5, 4677899 What are the prime factors of 1314573620? 2, 5, 17, 3866393 List the prime factors of 1045118427. 3, 19, 18335411 List the prime factors of 78121928. 2, 643, 15187 List the prime factors of 2232712888. 2, 7, 2239, 17807 List the prime factors of 722265882. 2, 3, 13, 9259819 List the prime factors of 134556820. 2, 5, 443, 15187 What are the prime factors of 168157902? 2, 3, 11, 2547847 What are the prime factors of 5430924989? 7, 149, 5207023 What are the prime factors of 29487678? 2, 3, 11, 163, 2741 List the prime factors of 271978589. 271978589 List the prime factors of 17957578. 2, 857, 10477 What are the prime factors of 1013412060? 2, 3, 5, 7723 What are the prime factors of 1284126343? 19, 67585597 What are the prime factors of 209584743? 3, 41, 1703941 What are the prime factors of 23736277? 37, 641521 List the prime factors of 217640558. 2, 61, 463, 3853 List the prime factors of 470834510. 2, 5, 31, 53, 28657 What are the prime factors of 377538439? 377538439 What are the prime factors of 394542748? 2, 79, 1248553 List the prime factors of 3515812. 2, 878953 What are the prime factors of 241279361? 23, 1907, 5501 List the prime factors of 41229393. 3, 13743131 List the prime factors of 970694222. 2, 227, 2138093 What are the prime factors of 1035246964? 2, 258811741 List the prime factors of 92089890. 2, 3, 5, 1023221 What are the prime factors of 64914961? 31, 2094031 What are the prime factors of 916255845? 3, 5, 20361241 List the prime factors of 212357480. 2, 5, 599, 8863 List the prime factors of 4335999700. 2, 5, 241, 179917 What are the prime factors of 126416478? 2, 3, 3389, 6217 List the prime factors of 44533505. 5, 8906701 What are the prime factors of 12967754? 2, 83, 191, 409 List the prime factors of 1210532662. 2, 523, 811, 1427 What are the prime factors of 180094658? 2, 90047329 List the prime factors of 36590579. 17, 126611 What are the prime factors of 84919623? 3, 28306541 What are the prime factors of 895882610? 2, 5, 7, 12798323 List the prime factors of 36316960. 2, 5, 61 List the prime factors of 98499892. 2, 23, 29, 36919 List the prime factors of 137903721. 3, 53, 867319 What are the prime factors of 2410869825? 3, 5, 7, 13, 89 What are the prime factors of 2514961770? 2, 3, 5, 193, 434363 List the prime factors of 61268760. 2, 3, 5, 7, 41, 593 List the prime factors of 213944239. 73, 2930743 List the prime factors of 201323149. 201323149 What are the prime factors of 252812264? 2, 97, 103, 3163 List the prime factors of 132573286. 2, 3191, 20773 List the prime factors of 6692655. 3, 5, 19, 23, 1021 List the prime factors of 91873938. 2, 3, 13, 97, 12143 List the prime factors of 26509541. 19, 541, 2579 List the prime factors of 23515109. 43, 546863 What are the prime factors of 191608083? 3, 547, 38921 What are the prime factors of 896225977? 896225977 What are the prime factors of 164160388? 2, 7, 83, 10091 List the prime factors of 523731035. 5, 104746207 What are the prime factors of 1284100068? 2, 3, 587, 182297 List the prime factors of 1009145876. 2, 252286469 List the prime factors of 279671708. 2, 29, 31, 77773 What are the prime factors of 30475983? 3, 571, 17791 What are the prime factors of 496343213? 19, 199, 251, 523 List the prime factors of 221079719. 7, 607, 7433 What are the prime factors of 6729209? 6729209 List the prime factors of 17170582. 2, 11, 13, 60037 List the prime factors of 2289975222. 2, 3, 101, 3778837 What are the prime factors of 200481046? 2, 19, 1129, 4673 What are the prime factors of 84446141? 13, 311, 20887 What are the prime factors of 1505262646? 2, 23, 53, 509, 1213 List the prime factors of 30843886. 2, 15421943 What are the prime factors of 2728816541? 11, 41, 6050591 What are the prime factors of 137264380? 2, 5, 11, 623929 What are the prime factors of 391004223? 3, 130334741 What are the prime factors of 109364099? 13, 8412623 What are the prime factors of 210549096? 2, 3, 47, 62219 List the prime factors of 5168151518. 2, 8297, 311447 List the prime factors of 40005712. 2, 2500357 List the prime factors of 93400589. 179, 521791 List the prime factors of 723579774. 2, 3, 19, 193, 32887 What are the prime factors of 86963924? 2, 29, 71, 10559 List the prime factors of 286658252. 2, 137, 631, 829 List the prime factors of 598802908. 2, 11, 13609157 List the prime factors of 1720749078. 2, 3, 17, 1531, 3673 List the prime factors of 333640962. 2, 3, 18535609 What are the prime factors of 5660767470? 2, 3, 5, 19, 9931171 List the prime factors of 139361478. 2, 3, 17, 1366289 List the prime factors of 795393212. 2, 17, 1213, 9643 List the prime factors of 15523322. 2, 7761661 List the prime factors of 410583666. 2, 3, 1451, 47161 What are the prime factors of 537015299? 37, 14513927 List the prime factors of 2166179540. 2, 5, 7, 61, 253651 What are the prime factors of 646421203? 131, 4934513 List the prime factors of 51190115. 5, 10238023 List the prime factors of 47697469. 23, 239, 8677 What are the prime factors of 182616194? 2, 91308097 What are the prime factors of 556478316? 2, 3, 593, 8689 List the prime factors of 70736590. 2, 5, 67, 71, 1487 List the prime factors of 2897874082. 2, 1448937041 What are the prime factors of 568367068? 2, 83, 1711949 List the prime factors of 5951373175. 5, 11, 17, 1273021 What are the prime factors of 343690550? 2, 5, 7, 83, 11831 List the prime factors of 1367665602. 2, 3, 4673, 48779 List the prime factors of 14659729. 7, 17, 123191 List the prime factors of 111811738. 2, 313, 178613 What are the prime factors of 73843108? 2, 83, 222419 List the prime factors of 1280960144. 2, 80060009 What are the prime factors of 338811953? 338811953 What are the prime factors of 1204706? 2, 193, 3121 What are the prime factors of 83931355? 5, 37, 453683 What are the prime factors of 81292433? 241, 337313 What are the prime factors of 14275264? 2, 223051 What are the prime factors of 316438434? 2, 3, 13, 450767 List the prime factors of 1231577672. 2, 13, 31, 382003 List the prime factors of 21032696. 2, 19, 138373 List the prime factors of 2366717142. 2, 3, 394452857 What are the prime factors of 2047645501? 11, 5651, 32941 List the prime factors of 1482588205. 5, 7, 42359663 List the prime factors of 602699960. 2, 5, 15067499 List the prime factors of 298438193. 298438193 What are the prime factors of 600151010? 2, 5, 31, 151, 12821 List the prime factors of 177763024. 2, 47, 236387 List the prime factors of 698430965. 5, 113, 1236161 What are the prime factors of 2097943790? 2, 5, 271, 774149 List the prime factors of 414136252. 2, 17, 23, 264793 List the prime factors of 865523454. 2, 3, 19, 7592311 What are the prime factors of 554852789? 89, 419, 14879 What are the prime factors of 232257314? 2, 79, 1469983 List the prime factors of 59228945. 5, 11845789 What are the prime factors of 76037025? 3, 5, 1013827 What are the prime factors of 1463493568? 2, 577, 39631 List the prime factors of 1059111321. 3, 2099, 168193 List the prime factors of 21266191. 23, 924617 What are the prime factors of 960718902? 2, 3, 11, 13, 29, 38611 List the prime factors of 58982702. 2, 157, 187843 List the prime factors of 55590655. 5, 23, 483397 What are the prime factors of 667502860? 2, 5, 29, 1150867 List the prime factors of 722337058. 2, 9173, 39373 List the prime factors of 109463749. 109463749
Let n = -420 + 725. Let l = -3353/11 + n. Which is the biggest value? (a) 5 (b) -0.5 (c) 2 (d) l a Let p = -78 - -84. Let s = p - 6.3. Which is the second smallest value? (a) -0.01 (b) 1/3 (c) 0.2 (d) s a Suppose 2*y + 4*t = t + 17, 10 = y + 2*t. Let p be (y - (-18)/(-10)) + -2. What is the third smallest value in p, -3/2, 1? 1 Let o = -43 + 345/8. Let r = -15502 - -15501.9. What is the second biggest value in o, r, 1, 1/4? 1/4 Suppose -t + 4*a = 7, 24 = -0*t + 4*t - 3*a. Suppose t*p = -40 - 50. What is the smallest value in p, 1, -0.2, 0.4? p Let n = -167.039 + 167. Let w = n + 0.039. What is the second smallest value in 2/9, -2.1, w? w Let t = 1.63 + -0.03. Let f = -0.001 + -1.599. Let x = t + f. Which is the biggest value? (a) x (b) -5 (c) 5 c Let u = -0.7 + -0.2. Let s = -12.6 + 27.3. Let m = s + -15.7. What is the second smallest value in m, -0.5, u? u Let t = -2/425 - 419/1275. What is the smallest value in t, 3, 3.9, -2/9? t Suppose -70*h + 65*h + 20 = 0. What is the smallest value in -3/2, h, 0.09? -3/2 Let o be (-24 - -18)/(-4 + -8). Let r = 4 + -1. Which is the smallest value? (a) o (b) r (c) -21 c Let u = 2/271 + 267/542. Which is the second biggest value? (a) 5 (b) u (c) 2/11 b Let n = -0.8 - -1.2. Let v be ((-45)/50)/1*10/(-12). What is the third smallest value in v, n, 0? v Let v be 15*(110/(-50) - -1). What is the biggest value in 5, 2/7, v? 5 Let z = 0.016 + -0.016. Let r = z - 5. Which is the second biggest value? (a) -1/4 (b) 3/8 (c) -0.5 (d) r a Let u be ((-10)/(-4) + -3)/(2/1). What is the third smallest value in -9, u, -14? u Let o be -4 - 4 - (-155)/20. What is the smallest value in o, -4, 0.212? -4 Let d = 22 + -22.5. Let g = 17 - 17.1. What is the third smallest value in d, 5, g? 5 Suppose -5*d + d = 4*d. What is the second smallest value in 0.04, -2/7, d? d Let p = -0.09 - 0.31. Let f be 1017/(-66) + 3 - -1. Let z = -23/2 - f. Which is the smallest value? (a) -5 (b) p (c) z a Let h be (-26)/10 + (-1 - -3). Let y = -260 - -262. Which is the smallest value? (a) h (b) y (c) 2/5 a Suppose k + 35 + 2 = 0. Let d = 221/6 + k. Let l = 1.56 + -0.56. What is the second smallest value in l, -0.3, d? d Let z = -7079/21 + 337. Let c = -0.3 - 0.2. Let j = 1.0284 + -0.0284. What is the biggest value in j, c, z? j Let a = -4227083/37945 + 2/7589. Let v = a - -112. Suppose -l - 4 = 0, -2*c - 4 = 2*c + 4*l. What is the second smallest value in 1, v, c? 1 Let m = 0.12 - -0.77. Let s = 0.01 + m. Let z = -1 + s. What is the second smallest value in z, 1, 2/9? 2/9 Let l = -1.05 - 0.25. Let p = l - -1. Let k = -3.8 + -0.2. What is the third smallest value in k, 1/2, p? 1/2 Let t = -2/111 + -323/555. What is the third biggest value in -1, -0.2, t? -1 Let w = 3 + -4. Let x(b) = 3*b**2 - 13*b + 7. Let n be x(4). What is the smallest value in -1.5, w, n? -1.5 Let n = 4.3 - 4.63. Let o = n - 0.07. What is the fourth biggest value in -16, 5, o, 0.1? -16 Let o = -5 - -9. Suppose 0 = 2*m - 8, -3 = h - 3*m + 3. Suppose 8 - 2 = h*k. Which is the third biggest value? (a) -0.4 (b) o (c) k a Suppose 0 = -z + 3*z - 3*l - 9, 3*z - 33 = -2*l. Let w be 41/13 - (z - 6). What is the second smallest value in w, -5, -2? -2 Suppose t = -t - 4. Let x be (t/4)/((-5)/(-6)). Let w = 214.8 + -215. Which is the smallest value? (a) 2/7 (b) x (c) w b Let o = -0.3 + 0.1. Let x = -43 - -43.7. Let n = x + o. What is the smallest value in -1, n, 4? -1 Let d = -1573/2 + 787. Let u = -2.945 + 3. Which is the smallest value? (a) -3 (b) d (c) u a Let p = 128.274 + -0.274. Let c = -128.2 + p. What is the smallest value in c, -1/2, 22/9? -1/2 Let r(t) = -t**2 + 7*t + 2. Let g be r(8). Let m be (-4)/g*24/176. What is the third biggest value in -4, m, 0.5? -4 Let b = 6.44 - 6.14. Let m = -8 + 8.2. What is the second smallest value in m, 1, b, 4? b Suppose 5*y - 25 = 5*p, 3*p + y + y - 10 = 0. Suppose -2*w + p*w = -8. What is the smallest value in w, -0.4, 3? -0.4 Let q be 9/12*13/(-39). Which is the smallest value? (a) 2 (b) 1 (c) q c Let a(i) be the second derivative of -i**5/5 - i**4/6 + i**3/3 + 3*i**2/2 + 8*i. Let z be a(-1). What is the smallest value in 3/4, -0.2, z? -0.2 Suppose 5*f - 2*h = -15, 0*h - 3 = f + 5*h. Suppose -2*v - 4*t = 102 + 14, t + 4 = 0. Let i = 251/5 + v. What is the biggest value in 0.3, f, i? 0.3 Suppose 2*b - 10 = 0, -144*u - 2*b + 60 = -143*u. What is the second smallest value in u, 4, -0.2? 4 Let u = 83.04 - 84. Let t = 0.97 + u. Which is the fourth biggest value? (a) -1/3 (b) t (c) 1 (d) 0.2 a Let j = 89 - 84. Let o = 0.3 + -0.6. Let q be (2/(-25))/(4/20). What is the third smallest value in j, o, q? j Suppose 3*k = -2*k + 25. Let d = -0.2 + 0.2. Let z be (-4)/6*(1 + 45/(-72)). Which is the second smallest value? (a) d (b) z (c) k a Let u be 12/42 + (0 - (-876)/21). Let f = 47 - u. What is the second biggest value in f, 4, -0.16? 4 Let u = -0.0316 + 0.1416. Which is the second smallest value? (a) u (b) -1/6 (c) 4 a Let o(u) = u**3 - u**2 + 10. Let d be o(0). Let y = -5 + 9. Suppose -y*z + d = -2*m, 5*m = z + 2*m - 5. Which is the biggest value? (a) 0.4 (b) -5 (c) z c Let k = -0.1953 + 0.0953. Which is the smallest value? (a) 1 (b) k (c) -2 (d) 9 c Let r = -301.5 - -304.5. Let o = 31.74 + -32. Which is the third biggest value? (a) 0.1 (b) 0.4 (c) o (d) r a Let s(l) = 3*l**3 + 9*l**2 + 7*l - 2. Let n be s(-1). What is the smallest value in 0.1, n, 50, -0.2? n Let n = -53.5 - -84. Let x = n - 31. Which is the third smallest value? (a) 5 (b) x (c) -2 a Suppose -5*i - 4 = -4*i. Let t = 7 + i. Suppose t*q + 0 + 6 = 0. Which is the smallest value? (a) q (b) 1 (c) 3/2 a Let a = 693/2 + -347. What is the fourth smallest value in 2, a, -4, -3/7? 2 Let j = -25.2 - -25.3. Which is the third biggest value? (a) j (b) 4 (c) -5 (d) -2/15 d Let z = -0.05 + -9.95. Let p = -26 - z. Let r = p + 24. What is the third biggest value in -2, -0.4, r? -2 Let k = 1 + -5. Let b = 0.21 - 1.03. Let g = 0.62 + b. What is the third smallest value in 4, g, k? 4 Let j be 2 - (32/(-20))/(9/(-15)). Let o = 0.18 + -0.15. What is the biggest value in j, -0.1, -3, o? o Let u be 2/((12/10)/(-3)). Let n = 6637 - 6634. What is the fourth biggest value in u, -0.4, -0.5, n? u Suppose -7 = -5*j + 3*j - i, -4*i - 4 = 0. Suppose 18 + 90 = -j*f. Let d be (-9)/f + 2/48. Which is the third biggest value? (a) -3 (b) -2/9 (c) d a Let q = -3 + 7. Suppose -4*l - 12 + q = 0. What is the smallest value in l, 1/8, 0? l Let l = -14.42 + 0.42. Let d = -13.9 - l. Let h = 0.8 - -0.2. What is the third smallest value in d, -1, h? h Let z = -483 - -482.7. Let q be (1 + 1 - 1) + -2. What is the biggest value in z, -15, q? z Let u = -0.2 + -0.2. Let t = 24.9 + -24.8. Let n = t + u. What is the biggest value in -1/6, n, -0.2? -1/6 Let r = -3053/9 - -339. What is the third biggest value in 1/9, -4, r, 7? r Let x = 0.0309 + 0.1691. Let i(j) = j - 1. Let r be i(6). Which is the second biggest value? (a) r (b) 0.1 (c) x c Let v = -47.8 + 48. Which is the second smallest value? (a) 1 (b) 0.5 (c) 5/3 (d) v b Let b = -10 + 11.8. Let f = 2 - b. Let k = 0.11472 - 0.31472. What is the second smallest value in k, 0.4, f? f Let t be 11 + (0 - (-51)/(-5)). Let s = -0.1 - 0.1. Which is the fourth smallest value? (a) 0.5 (b) 0 (c) t (d) s c Let x = 7.2 + -1.2. Let k = x - 5.6. Let d = -5870.5 + 5871. Which is the second biggest value? (a) k (b) -2/11 (c) d a Let n = -113 - -61. Let f = 76 + n. What is the smallest value in -0.3, f, 0.5? -0.3 Suppose 0 = n - 5*n - 64. Let z be (-15)/6*n/20*-1. What is the second biggest value in 2, 0.5, z, -3? 0.5 Let z = 1522 - 1522.3. Which is the third smallest value? (a) -1 (b) 14 (c) z b Let s = 4.75 + -0.05. Let h = s + -4.5. Which is the second biggest value? (a) -0.2 (b) 1 (c) h (d) 5/4 b Let x = -2.75 + 0.15. Let c = x - -3. Let p = 100 + -698/7. What is the third smallest value in c, 1, p? 1 Let o = -84 + 126. Let k = 41.6 - o. What is the smallest value in -2/3, k, -0.7? -0.7 Let a = -99.08 - -43.14. Let l = -56 - a. What is the smallest value in l, -1/2, -2/13? -1/2 Let x(r) = -4*r - 187. Let n be x(-40). Which is the second smallest value? (a) -4/3 (b) 0.3 (c) n a Let q = 32.194 + -0.194. Let j be (-4)/(-22) + (-68)/(-110). What is the third smallest value in q, j, -0.3? q Let q(v) = v**3 + 6*v**2 + v - 8. Let k be q(-8). Let y = 573/4 + k. Which is the third smallest value? (a) y (b) 2/19 (c) -0.3 (d) 6 b
Let u(s) = -s**2 + 6*s + 8. Let h be u(6). Let y be 357/12 + 2/h. Let p be (-4)/y*3/(-2). Is p equal to -0.2? False Let x(u) = u + 15. Let p(s) = -1. Let g(w) = -3*w - 42. Let b(t) = -g(t) - 4*p(t). Let z(q) = 2*b(q) - 7*x(q). Let d be z(-12). Which is greater: d or 0.08? 0.08 Let y = -877/7 + 125. Is -2/3 less than or equal to y? True Suppose -y + 4*z - 12 = 0, 3*y + z = -2*z + 9. Is -1/2 at most y? True Let b = 38 + -31. Which is smaller: b or 33/5? 33/5 Suppose i - 4*i = -n + 20, 3*i = -n - 28. Let u = -8 - i. Is u at least as big as 0? True Let h = -4333 + 20967/5. Let i = 140 + h. Let f be -1 - (-3 - (1 + -3)). Which is smaller: f or i? f Let y = -2/261 + -79/1044. Is y at least 0? False Let r(k) = k + 1. Suppose -12 - 4 = -4*v. Suppose -a = -4*a - 3*b + 9, v*b = a + 12. Let m be r(a). Is m bigger than 1? False Let z = 22.6 - 23. Which is smaller: 1/3 or z? z Let y be 36/10 + 4/10. Let i be (2/y)/(21/(-3600)). Let t = i + 86. Which is smaller: t or -1? -1 Let n(x) = -x**2 - 5*x - 1. Let h(b) = b**3 - 8*b**2 + 9*b - 7. Let m be h(7). Let i be 1 - -2 - m - 0. Let y be n(i). Is y greater than or equal to 2? True Suppose 4*x - 15 = 5*c, -4*x = -16 - 4. Let j be (18/14 - c) + 0. Let i = 0.3 - 0.2. Do i and j have the same value? False Let u be 1/2 + (-3)/(-6). Let l = 3 - 8. Let s be 3/((-9)/l) + -2. Which is greater: u or s? u Suppose -7*h = -2*h. Let c = -1/14 + -79/70. Which is smaller: h or c? c Let n(g) = -2*g - 6. Let h be n(-4). Let v(p) = p**2 - 5*p + 2. Let k be v(h). Let r be (k/6)/((-6)/9). Which is greater: 1/7 or r? r Let s = 0 - 1. Suppose -3*p + 3 = -2*m, 2*m + 2*m + 7 = 5*p. Is p at least as big as s? True Let k be 2/13 + (-9 - -9). Suppose -u + 1 = 2. Which is bigger: k or u? k Suppose 4*i - 5*c - 116 = 0, 2*c + 29 = i + 4*c. Suppose 3*y - 4*b = i, 0*y + 4*y - 52 = 2*b. Is 15 <= y? True Suppose -3*z + 4*z - 3 = -2*s, -s - 5*z - 12 = 0. Suppose 5*u - 3*r - 27 = 0, 4*u + 5*r = s*u - 17. Suppose u*c + 2 = c. Is c at least -5/7? False Let s = -3 - 1. Let f be (8/(-130))/(s/10). Which is smaller: f or 1? f Let x = 167 + -12. Let a = x + -1083/7. Which is smaller: -8 or a? -8 Suppose -7*n + 2*n + 25 = 0. Suppose -5*x = 2*i - 0*i + n, 3*i = -5*x - 10. Which is smaller: x or -2/25? -2/25 Let v be 1/(2/4)*34. Let z be 144/v - (1 + 1). Which is smaller: 1 or z? z Let t(a) = -a**3 - 2*a**2 - 2*a. Let b be t(-2). Let w = b - 1. Is 4 >= w? True Let o be 2/(-10) + 160/(-75). Which is bigger: o or -3? o Let s = 1610 - 101428/63. Let f = -4/21 - s. Suppose b = 5*d - 24, -d = b - 1 - 5. Which is greater: f or b? b Let y(s) = s**2 + 3*s. Let l be y(-3). Suppose -4*m + 0 - 4 = l. Which is smaller: m or 0? m Let q be (4/(-2) - -4) + 3/(-3). Is q less than 16/7? True Let o be 0 - -1 - (-4)/(-4). Let m = o - 3. Suppose a = -3 - 1. Are a and m nonequal? True Let r(q) = 4*q + 5. Let v be r(-6). Is -19 smaller than v? False Let q = 14 + -18. Do 2 and q have the same value? False Let z be (4 - 14/4)*6. Is -6 equal to z? False Let s(g) = -g + 6. Let a be s(-11). Is a at most as big as 19? True Suppose 0 = -3*o + 3 + 3. Is o at most as big as 2? True Let n = 4 - 5. Which is bigger: 24 or n? 24 Let k(u) = -3 - 8*u + 2*u**2 - 8 + 1. Let i be k(7). Let j = -63/2 + i. Is j >= 2? False Let y = -1.2 + -1.3. Is y less than or equal to 1/3? True Let q = 12 - 11.9. Let w = 5 - 3. Let g = w + -3. Do q and g have different values? True Let f = -0.6 + 0.2. Let j = -2.4 - f. Let a = 1 - j. Is a smaller than 0.1? False Suppose 0*a - 27 = -3*a. Let o = 11 - a. Which is greater: o or 1? o Suppose -10 = 3*l + 8. Which is smaller: -8 or l? -8 Let q = 0.2 + -0.4. Let l = 14 - 2. Let b = l - 12. Are b and q non-equal? True Let z = -9 + 5. Let d = 4.2 + z. Let v = 0.1 + -0.2. Which is greater: v or d? d Let z be (28/13 - 2) + (-54)/13. Let w(n) = n**3 - 7*n**2 + 7*n - 9. Let p = -16 + 22. Let s be w(p). Which is greater: z or s? s Suppose 0 = -0*n - n + 2. Suppose n*w - 200 = -2*w. Let m be (4/w)/(1/(-5)). Which is smaller: m or -3? -3 Let p = 2.7 - 14.7. Which is smaller: p or 0? p Let w = 57 - 60. Is w not equal to 18? True Let q = 6 - 66. Is q at least -60? True Let l = 13 - 4. Let w be (-2)/14*3/l. Is w greater than 1? False Suppose 0 = 2*v - 5*t - 120, -3*v = -2*v - 4*t - 63. Suppose -2*n + 4*y = -n + v, 4*n + 315 = -3*y. Let j = 527/7 + n. Which is smaller: -1 or j? -1 Let k = -21.1 + 21. Are 25 and k non-equal? True Let o = 2.5 + -4. Let g = o - -0.5. Which is greater: 1 or g? 1 Suppose -4*z + 6*z - 26 = 0. Let o(q) = -2*q + 26. Let n be o(z). Which is smaller: -2 or n? -2 Let v be 465/(-189) - (-6)/(-14). Which is bigger: -2 or v? -2 Suppose -5*f + 3*f = -2. Let r = -232613/18126 - 2/9063. Let g = 1297/102 + r. Are g and f non-equal? True Suppose 0 = -5*p + c, -3*p - c + 6 = -2*p. Which is greater: p or -1/3? p Let l = 4 - 18. Which is smaller: -15 or l? -15 Suppose 0 = -0*o - 4*o. Which is smaller: o or 3/10? o Let b = 4199 + -25603/6. Let k = b + 68. Do k and 1 have the same value? False Let f = -48/7 - -47/7. Which is smaller: 0 or f? f Let q = 479 - 477. Let l = -1 - 0. Are q and l unequal? True Suppose 3*i + 12 = -t, 3*i + 39 = -2*t - 2*t. Is -11 greater than or equal to t? False Let y = 13 + -8. Suppose 0*n + y = 5*n. Which is greater: n or 1/3? n Let t = -0.9 - 0.1. Let f = -1.02 - -0.82. Is t <= f? True Let u be (-1)/(-2)*(-2 + 12). Let k(b) = 2 + 2*b - b + 4 - 2*b. Let y be k(u). Which is greater: -4/7 or y? y Suppose -4*t - 4 + 12 = 0. Suppose -p + 3*p + t = 2*u, 0 = -u. Suppose 3*y + 0*y - 19 = 2*x, x - 18 = -4*y. Which is smaller: x or p? x Let s = -83 - -44. Is -39 > s? False Suppose i = -i + 6. Let m be (-4)/(2/(-28)*-4). Let w be 23/7 + 4/m. Is i equal to w? True Let k = -22 + 26. Is k at least as big as 3? True Let c(j) = -27*j + 1. Let t be c(-2). Suppose -2*a + 70 = -2*d - d, a + t = -3*d. Let q be 2/d + 10/(-25). Do q and -1 have different values? True Let m be 50/(-114) - 13/(-39). Which is smaller: 0 or m? m Suppose -10 = -5*s + 5*a, 4*a = -5*s - 11 + 12. Let y(h) = -h**3 - 5*h**2 - 3*h + 5. Let c be y(-4). Is s at most c? True Let r = -6374/2739 - -76/33. Let h = r + -235/581. Is h greater than -0.3? False Let c = 3 - -5. Suppose -4*v + c*v = -76. Is v < 0? True Suppose 2*h - 3 = -2*k + k, 0 = -2*h - 4*k + 18. Let y be (-1)/((-1 - 0)/h). Let j be 16/(-40) + 12/5. Which is greater: y or j? j Let s be -12*(-3 + (-50)/(-15)). Let a = 7 + 1. Suppose -a = 4*i - 0*i. Which is smaller: i or s? s Let h be 1 + 2*1/(-1). Let s = -27 - -30. Is s greater than h? True Suppose 6 = 4*s - 5*b + 2*b, -3*s + b + 7 = 0. Suppose -2*d - 4*n - 8 = 0, -3*n = -5*d + 14 + 5. Which is smaller: d or s? d Let u(b) = b**3 - 10*b**2 - 7*b + 7. Let n be u(8). Let z = n - -1241/7. Is 3 less than or equal to z? False Let u(l) = -7*l. Let q be u(-10). Suppose 42 = -3*g + 2*o, g + 4*g + q = 3*o. Let r be 1/(-3) + g/(-18). Do r and -1 have the same value? False Suppose 62 = 2*m + 152. Let n be -3*(-6)/m + 1. Is n at least as big as -1? True Let w = -0.032 + -2.008. Let z = -0.04 - w. Let p = -1 + z. Is -1 at least as big as p? False Let x be (2/(-5))/((-7)/(-35)). Are 2 and x non-equal? True Let z = 1.08 + -0.98. Which is greater: z or 13? 13 Suppose -g + 2 = -3. Let v be 11 - -6 - (1 - 1). Suppose 4*t - v = 6*t - 5*m, 2*m - 26 = -4*t. Which is greater: t or g? g Suppose 5*d + 8 = 3*p + 1, -3*d + 12 = 0. Let m be (30/p)/((-4)/6). Let a = -16 + 11. Is m > a? False Let c be 6/(-8) - (-7)/4. Let y = -6 + 8. Which is bigger: y or c? y Suppose -c - 3*r = -22, 2*c - 6*r + r - 44 = 0. Let h be c/55 + (-12)/55. Which is bigger: -1 or h? h Suppose -4*a = -55 - 41. Which is bigger: a or 26? 26 Suppose 0*b + 2*b + 3*r = -16, -b + 5*r + 5 = 0. Let a be 12/(-8) - b/(-2). Suppose x + 2*k = -11, x + 2*k - 4*k - 5 = 0. Which is smaller: a or x? a Let u(z) = z**2 - 8*z - 2. Let o be u(8). Let a = 0 + o. Let y be (a/7)/((-9)/(-21)). Which is smaller: y or -1? -1 Suppose u + 5*d - 22 = 0, 0 = 4*u - d - 2*d + 4. Suppose -u*j = 3*c - 4, 2*j - j = 2*c - 5. Let a be (96/(-128))/((-6)/2). Is j <= a? True Suppose -2*r - 21 = -5*m, 4*r = -0*m - 4*m. Let c be m/22*(-16)/12. Which is bigger: c or 1? 1 Suppose 5*t + 5 = -0. Let f = t + 3. Do f and 1 have different values? True Suppose 0 = -0*i - i + 7. Suppose 12 = 3*v + a, -5*v - 2*a = -i - 14. Suppose 2*n - v*n = -2*p, 3*p = 3*n - 6. Which is smaller: p or 2/3? 2/3 Let s = -13.4 - -12. Let i = 5 + -4.6. Let o = i + s. Which is smaller: o or -2/9? o
Let p(k) = 5292*k**3 - 27*k**2 + 27*k + 27. Let z(s) = 407*s**3 - 2*s**2 + 2*s + 2. Calculate 2*p(w) - 27*z(w). -405*w**3 Let m = 446 + -439. Let i(k) = -13*k**2 + 7*k. Let f(a) = 13*a**2 - 6*a. Give m*f(q) + 6*i(q). 13*q**2 Let j(h) = 4*h - 3. Let f(x) = 4*x - 4. Calculate 2*f(g) - 3*j(g). -4*g + 1 Let h(l) = -l**2 + 6*l - 4. Let b(x) be the first derivative of -5*x - 2/3*x**3 - 21 + 7/2*x**2. What is -3*b(d) + 4*h(d)? 2*d**2 + 3*d - 1 Suppose 1 - 7 = -2*k. Let i(c) = -4*c - 3*c**3 + 0*c**3 + k - 7. Suppose -2*u = u + 21. Let v(w) = -5*w**3 - 7*w - 7. What is u*i(y) + 4*v(y)? y**3 Let t(v) = 6*v + 5. Suppose -27 + 1 = -13*p. Let a(h) = h + 1. Calculate p*a(z) - t(z). -4*z - 3 Let l(k) be the third derivative of k**4/6 + k**3/3 + 8*k**2. Let y(r) = -r - 1. Suppose -3*f + 18 = 2*f + 3*g, -8 = 2*f + 5*g. Give f*y(i) + l(i). -2*i - 4 Let u(g) = g**2 - 2*g + 2. Let v = -6 + 8. Let x(z) = -3*z**2 + 7*z - 7. Let y be -2*(10 - 7 - (-82)/(-4)). Suppose 0 = -0*j - 5*j + y. What is j*u(l) + v*x(l)? l**2 Let v(n) = 4*n + 17. Let d(u) = -6*u - 34. Calculate 3*d(b) + 5*v(b). 2*b - 17 Let j(t) = 2*t**2 - 2*t - 3. Suppose 0 = -16*u + 58 - 26. Let r(w) = -2*w**2 + 2*w + 4. What is u*r(z) + 3*j(z)? 2*z**2 - 2*z - 1 Let y(n) = -2*n**2 - 6*n + 2. Let z(p) = 4*p**2 + 13*p - 5. Let c = -967 - -965. What is c*z(b) - 5*y(b)? 2*b**2 + 4*b Let v(s) = s - 23. Let l be v(21). Let u(r) = 13*r**2 - 4*r - 7. Let w(q) = 4*q**2 - q - 2. Determine l*u(t) + 7*w(t). 2*t**2 + t Let f = 132 - 133. Let b(a) = a**2 + a + 1. Let s(d) = 6*d**2 + 2*d + 4. Calculate f*s(r) + 3*b(r). -3*r**2 + r - 1 Let n(a) = -239*a**3 + 6. Let o(s) = 477*s**3 - 11. Give 5*n(r) + 3*o(r). 236*r**3 - 3 Let v = -483 - -484. Let c(d) be the first derivative of d**4/4 + d**3/3 - d**2/2 + 1. Let b(x) = 3*x + 3*x**2 - x - x**3 - 5*x**2. Give v*b(i) + 2*c(i). i**3 Suppose -j + 6 = -2*h - 4, h + 5*j + 5 = 0. Let s(f) = -f**3 + 6*f**2 + 4. Let d(g) = -2*g**3 + 12*g**2 + 9. Calculate h*s(m) + 2*d(m). m**3 - 6*m**2 - 2 Let n be (-1)/3 + 16/12 + -2. Let f be ((-5)/(-15))/(n/12). Let l(x) = 5*x - 2. Let b(g) = -11*g + 4. Give f*b(p) - 9*l(p). -p + 2 Let s(y) = -5*y**2 - 5*y + 1. Let o = -2 - -8. Suppose -o*a + 3 = -45. Suppose 2*k + 2 = -a. Let w(d) = -9*d**2 - 9*d + 2. What is k*s(c) + 3*w(c)? -2*c**2 - 2*c + 1 Let v(w) = -8*w**2 - w + 1. Let f = -1 - -19. Suppose -s + 2*s - f = 0. Let n(y) = -y**2. Calculate s*n(b) - 2*v(b). -2*b**2 + 2*b - 2 Let h(c) = 6*c - 1. Let w(z) = -910*z + 140. Calculate 140*h(x) + w(x). -70*x Let y(s) be the second derivative of -s**3/2 + 38*s. Let x(f) = -5*f. Suppose -6 = -4*p + 10. Give p*y(k) - 3*x(k). 3*k Let g(a) be the second derivative of -3*a**3/2 + a**2 - a + 5. Let u(h) = -12*h**2 - 1. Let n be u(-1). Let t(f) = 4*f - 1. What is n*t(b) - 6*g(b)? 2*b + 1 Let c(s) = -4*s**3 + 2*s**2 + 2*s. Suppose 25 = 5*t - 4*b, -4*t - 4*b + 5*b + 20 = 0. Let y(f) = 2*f**3 - 5*f**2 + 0*f**2 + 7*f**3 - 5*f. Give t*c(r) + 2*y(r). -2*r**3 Let s(n) = -188*n + 45. Let w(r) = 189*r - 54. Determine -6*s(m) - 5*w(m). 183*m Let j = -97 + 100. Let s(v) = -v - 1. Let t(p) = -p + 4. Let a(x) = -1. Let c(u) = -10*a(u) - 2*t(u). What is j*c(w) + 4*s(w)? 2*w + 2 Suppose -4*r = 759 - 31. Let v be (-2576)/r + (-2)/13. Suppose 21 = -7*n - v. Let d(i) = 3*i + 8. Let a(x) = -2*x - 5. What is n*d(k) - 8*a(k)? k Let g(a) = 1. Suppose 0 = 2*x - 3*b + 2, -5 + 0 = 5*x - 4*b. Let m(o) = 3*o**2 + o + 7. Give x*m(q) + 5*g(q). -3*q**2 - q - 2 Let u(h) = -105*h**2 + 42*h. Let l(n) = 26*n**2 - 10*n. What is 21*l(c) + 5*u(c)? 21*c**2 Let c(p) = -20*p - 437. Let h(z) = 11*z + 219. Give -6*c(b) - 11*h(b). -b + 213 Let y(x) = -4*x**2 - 6*x - 9. Let p(r) = -r**2 + r**2 + 5*r**2 + 10 + 7*r. Suppose -349 = -36*u - 97. Give u*y(o) + 6*p(o). 2*o**2 - 3 Let r(q) = -513*q + 18. Let w(h) = -257*h + 8. What is -4*r(m) + 9*w(m)? -261*m Let t(m) = 10*m - 2. Let v(x) = -11*x + 3. Suppose 2*u = 4, -4*r + 1 = -r - 4*u. Determine r*t(d) + 2*v(d). 8*d Let x(l) = -13*l**3 + 3*l**2 - 3*l. Let u(q) = 8*q**3 - 22 - 34*q**3 + 14 + 8 - 7*q + 7*q**2. Determine 3*u(v) - 7*x(v). 13*v**3 Let c(v) = v**2 - 6*v. Let x(g) be the second derivative of g**4/12 - 5*g**3/6 + g. Suppose -16 = -r - 12, 3*m + 31 = 4*r. Give m*x(s) + 4*c(s). -s**2 + s Let j(l) = 28*l**2 - 8*l - 5. Let b(m) = -28*m**2 + 9*m + 6. Give -5*b(d) - 6*j(d). -28*d**2 + 3*d Suppose -9 = -c + 6*c + 2*f, -3*f - 6 = 0. Let w(l) = -2*l**2 - 4*l + 2*l**2 + 6 - 4*l**2. Let p(n) = -n**2 - n + 1. What is c*w(q) + 6*p(q)? -2*q**2 - 2*q Let i(h) = 24752*h**3 + 273*h**2 - 273*h. Let a(x) = -182*x**3 - 2*x**2 + 2*x. Calculate -273*a(v) - 2*i(v). 182*v**3 Let z(j) = 10*j**3 + 39*j**2 + 17*j. Let q(k) = 3*k**3 + 13*k**2 + 5*k. Determine 7*q(p) - 2*z(p). p**3 + 13*p**2 + p Let b(w) be the first derivative of w**2/2 - w - 25. Suppose 1 = 4*g - 5*t, 5*g + 3*t - 25 = g. Let f(k) = -1. Determine g*f(a) - 4*b(a). -4*a Let t(b) = 29*b**2 - 11*b + 3. Let g(w) = -8*w**2 + 4*w - 1. Determine -7*g(p) - 2*t(p). -2*p**2 - 6*p + 1 Let v(k) = k**3 + k**2 + k. Let y(s) = -2*s**3 - 3*s**2 - 9*s. What is -3*v(x) - y(x)? -x**3 + 6*x Let a(k) = 5*k**3 - 4*k**2 - 7*k + 3. Let i(r) = 4*r**3 - 3*r**2 - 6*r + 2. Suppose -x = 12*c - 14*c + 3, 30 = 5*x + 5*c. Give x*i(y) - 2*a(y). 2*y**3 - y**2 - 4*y Let p(n) = -13*n + 4. Let x(v) = 6*v - 2. Let z = 2200 + -2203. Give z*p(y) - 7*x(y). -3*y + 2 Let u(b) = -2*b**2 - 2*b + 5. Let i(a) = 15*a**2 + 7*a**2 - 4 + a + 13*a**2 - 34*a**2. Give -3*i(h) - 2*u(h). h**2 + h + 2 Let d(v) be the third derivative of v**5/30 - v**4/12 + 2*v**3/3 + 104*v**2. Let s(q) be the first derivative of q + 1. Give d(w) - 4*s(w). 2*w**2 - 2*w Let d(q) = -q**2 + q - 1. Let c(y) = -2*y + 1979*y**2 - 1 + 6*y - 1985*y**2. Calculate -c(g) + 4*d(g). 2*g**2 - 3 Let t(d) = -9*d + 4. Let m(o) = -o**2 + 3*o + 16. Let r be m(6). Let y(k) = 28*k - 13. Calculate r*y(j) - 7*t(j). 7*j - 2 Let p(g) = 533*g**2 - 10. Let v(m) = 229457*m**2 - 4304. Determine 2152*p(z) - 5*v(z). -269*z**2 Let k(j) = j**3 + j. Let m(s) = 13*s**3 + 5*s**2 - 10*s. Let o(h) = 5*k(h) + m(h). Let q(d) = -63*d**3 - 18*d**2 + 18*d. Give 18*o(u) + 5*q(u). 9*u**3 Let m(l) = 6*l + 10. Let g(t) = t - 2. Calculate 5*g(z) + m(z). 11*z Let l(b) be the first derivative of 12*b**2 - 8 + b**3 - 24*b**2 + 10*b**2 - 2*b**3. Let t(d) = -2*d + 0*d + 0*d**2 - d**2. What is -3*l(c) + 7*t(c)? 2*c**2 - 2*c Let q = 45 - 42. Suppose -4*u + 12 = -0*u + 4*p, 3*p = u - q. Let b(t) = -t**2 - 2*t + 2. Let n(c) = -c**2 - c + 1. What is u*b(m) - 6*n(m)? 3*m**2 Let q be -2*9/(-4)*(-24)/18. Let k(j) = -15*j + 7*j + 5 - 8 + 16. Let y(u) = 4*u - 6. Give q*k(s) - 13*y(s). -4*s Let a(c) = -4*c + 21. Let r(v) = 3*v - 20. What is 2*a(y) + 3*r(y)? y - 18 Let w(s) = 6*s + 10. Let a(r) = -r - 1. Suppose 5*c + 80 = -10. What is c*a(p) - 2*w(p)? 6*p - 2 Let p(g) = -g**2 + 6*g + 5*g**2 - 2*g**2. Let u(o) = 3*o + 7. Let a(m) = -17*m - 5 - 9*m + 24*m. Let s(b) = 7*a(b) + 5*u(b). What is -p(y) + 6*s(y)? -2*y**2 Suppose -4*f = -2*x + 3*x + 11, 2*f - 5 = 3*x. Let b(y) = -y**2 + y. Let z(i) = -7*i**2 + 2*i. Calculate f*z(j) + 6*b(j). 8*j**2 + 2*j Suppose -2*n + 0*n - 182 = 4*r, r = -3*n - 293. Let a(d) = -638*d + 99. Let q(b) = -13*b + 2. Give n*q(s) + 2*a(s). 11*s Let n = 12 + -7. Let x(m) = n - 4*m + 3*m - m. Let k(l) = 89 + 6*l - 377 + 96 + 88 + 90. Determine 4*k(t) + 11*x(t). 2*t - 1 Let n(q) = 3*q**3 + 3 - 20702*q + 4 + 6*q**2 + 20697*q. Let g(x) = 0*x + 6*x**3 - 4*x + 6 - 4*x**3 + 5*x**2. What is -5*g(f) + 4*n(f)? 2*f**3 - f**2 - 2 Let h(z) = -16*z - 56. Let p(n) = -19*n - 57. Determine 7*h(a) - 6*p(a). 2*a - 50 Let m(k) = -16*k - 5. Let o(i) = -8*i - 3. Let r(h) = 2*m(h) - 5*o(h). Let v(p) = 2*p + 1. Calculate 2*r(q) - 9*v(q). -2*q + 1 Suppose -3*c - 2 - 10 = 0. Let w(a) = -a + 2. Let i(t) = 2*t - 3. Suppose -2*j + 3 = -7. Suppose 0 = -4*x + 7*x - 15, j*h = x - 35. Determine c*i(n) + h*w(n). -2*n Let x(n) = 7*n + 4. Suppose -5*w + 4 = -6. Let h = 597 - 595. Let f(k) = k - 9 + 13 - h + w*k. Give -5*f(i) + 2*x(i). -i - 2 Let u = -94 + 107. Let h(c) = -4 + u*c + 6 + 1. Let i(n) = 9*n + 2. Suppose -2*x = -8, -4*x + 3 = 4*y + 15. Give y*i(j) + 5*h(j). 2*j + 1 Let f(b) = 4*b - 1. Let y(z) be the first derivative of -5*z**2/2 + z + 1. Let j(w) = w + 3. Let m be j(-7). Calculate m*f(p) - 3*y(p). -p + 1 Let l(h) = 1. Let z(s) = -s**2 + 4. Let r(q) = -3*l(q) + z(q). Let g(x) = 2*x**2 + 2. Calculate 2*g(i) - 4*r(i). 8*i**2 Let s(h) = 7*h**2 + 2*h - 48. Let m(z) = -18*z**2 - 5*z + 95. What is 2*m(j) + 5*s(j)? -j**2 - 50
Which is smaller: -6010 or -6011? -6011 Which is smaller: -3/4403 or 0? -3/4403 Is -34 smaller than -32? True Is 581 <= 581? True Which is bigger: -3/1735 or -1? -3/1735 Which is greater: 9/7 or 0? 9/7 Which is greater: -2/79 or -1/6? -2/79 Are 1/4 and -1359 unequal? True Which is smaller: 0 or 1122? 0 Which is smaller: 1 or -1/3995? -1/3995 Is -98 not equal to 0? True Is 4 <= -59? False Is 3 < 0.04448? False Which is greater: -1091 or 4? 4 Is 0 > -79/6? True Which is smaller: 2/99311 or -1? -1 Is 1/5 != 0.09186? True Is -59 at most 2/7? True Is -676 at most -675? True Is -5/7 > 3/8? False Which is greater: -664 or 14? 14 Is -82/17 greater than -4? False Which is smaller: -29/19 or -2? -2 Is -422 equal to 70? False Is -629 greater than -629? False Which is smaller: -32 or -21? -32 Is 27 >= 27? True Which is smaller: -50 or -56? -56 Is -75 greater than or equal to -301/4? True Is -0.23 <= 9/19? True Are -656 and -656 equal? True Which is bigger: -198/7 or -28? -28 Which is smaller: -7/850 or 1? -7/850 Which is smaller: 425 or 2973/7? 2973/7 Which is bigger: 19/9 or 0? 19/9 Which is greater: -249 or -0.1? -0.1 Is 132/173 less than 1? True Do -19/7 and 0.0445 have different values? True Which is greater: 167 or 1/8? 167 Which is bigger: -5 or -35/9? -35/9 Is 92 at least 820/9? True Which is greater: 6/7 or -13.6? 6/7 Is 15 equal to 1.2? False Which is smaller: 162 or 1779/11? 1779/11 Is 11209 smaller than 11209? False Is -48 not equal to -46? True Is 1 >= 3/526? True Is -209 >= -208? False Is 4486 less than 8969/2? False Is -283 less than -285? False Which is smaller: -29/305 or -1? -1 Is 139 less than 136? False Does -1547 = -10/3? False Is -125 != -133? True Are 2/3 and 2/80803 unequal? True Which is bigger: -23 or -171? -23 Which is bigger: 2/481 or -1? 2/481 Which is smaller: -6/817 or 0? -6/817 Is 1/336 <= -1? False Is 186/11 smaller than 16? False Which is greater: 444 or 2/5? 444 Do -0.34074 and 0.1 have the same value? False Which is smaller: -0.2 or -3113? -3113 Which is greater: 56 or 0.11? 56 Is -63 at most as big as -63? True Which is smaller: 384 or 386? 384 Which is bigger: -2192/7 or -1/4? -1/4 Are -1 and 10/67 equal? False Which is smaller: 9934 or -2? -2 Which is greater: -5074 or -5073? -5073 Is -1/141 > -7/2? True Is -1/212 != 1? True Is 0 at most as big as -2/1245? False Is -1 >= 10/1283? False Is 7.345 < 1? False Is 4 less than 4273? True Which is smaller: -0.1 or -1/400? -0.1 Which is smaller: 1435/3 or 478? 478 Which is smaller: -1 or 1/5460? -1 Is 6/19 > 0? True Is -98 at most as big as -193/2? True Which is greater: 363/2 or 181? 363/2 Which is bigger: 2/5 or -260? 2/5 Which is bigger: 19 or 15? 19 Which is bigger: -18421 or -18420? -18420 Which is smaller: 3/17 or 42? 3/17 Is -172 at least as big as -172? True Is 1 less than -1/61? False Which is greater: -37 or 107? 107 Do 5 and 54/11 have the same value? False Is -13 equal to 4? False Is 153 less than 153? False Which is smaller: -2 or -10/7? -2 Do 4 and 4 have the same value? True Which is greater: 1 or 4/2691? 1 Which is greater: -2361 or -2362? -2361 Which is smaller: -2/3 or -161? -161 Is 135 at least as big as 173? False Which is smaller: 22 or 38? 22 Is 1786 greater than or equal to 1783? True Which is greater: -2/3579 or 0.11? 0.11 Which is bigger: 1/10 or 84? 84 Which is smaller: -61/12 or -5? -61/12 Which is greater: -1/215 or -1? -1/215 Is -43 greater than 0.8? False Which is smaller: -11628 or -11626? -11628 Is -15/514 <= 0? True Is -5569 != -5569? False Which is greater: 0 or -2/197? 0 Which is smaller: 5493 or 5491? 5491 Which is bigger: -0.2 or 6/263? 6/263 Which is smaller: 4176 or 4175? 4175 Is -12 >= 22? False Which is greater: -1 or 0.0586? 0.0586 Are -1188 and -1188 equal? True Are 3 and -6/31 unequal? True Which is greater: -6/395 or -1? -6/395 Which is smaller: 0.4 or 153/4? 0.4 Which is greater: -318 or -331? -318 Which is bigger: 60/17 or 3? 60/17 Is 5458 bigger than 5458? False Is -2 at most -6749? False Which is greater: 0 or 3/1021? 3/1021 Is 139 > 138? True Is -1 smaller than 1/137? True Which is smaller: 5 or 9? 5 Which is smaller: -67 or -71? -71 Is 7962 at least 7964? False Is 43840 >= 43840? True Is 264/233 greater than 1? True Which is bigger: -94 or -126? -94 Is 204/5 less than or equal to 41? True Is 104 at most 103? False Which is smaller: 1860 or -1? -1 Which is greater: 0.404 or -2/11? 0.404 Which is bigger: -12 or 11/6? 11/6 Which is smaller: -10 or -57/5? -57/5 Is -11 >= -70? True Which is greater: -468 or -469? -468 Which is smaller: -151 or -21? -151 Is 22 at most 27? True Which is greater: -173 or -157? -157 Is -1 equal to -25.3? False Which is smaller: 0.5 or -1.56? -1.56 Is 61 >= 17? True Which is bigger: 653 or 652? 653 Which is bigger: 626/31 or 20? 626/31 Which is smaller: -26 or 27? -26 Is 12/91 bigger than -1? True Is 648 != 1295/2? True Is 16.9 greater than or equal to -0.1? True Which is smaller: 497 or 503? 497 Is -60 at most as big as -1? True Is 13 equal to 1? False Which is smaller: 739 or 1? 1 Is -1073 <= -1072? True Are 37 and 113/3 unequal? True Which is smaller: 659 or 2635/4? 2635/4 Which is smaller: 142 or 140? 140 Which is smaller: 31/813 or 1? 31/813 Which is greater: 0 or 225? 225 Which is greater: 4/211 or -1? 4/211 Which is smaller: -790.2 or 0.3? -790.2 Is 2/157 greater than 11? False Is 153/14 >= 12? False Which is smaller: 193/72 or 4? 193/72 Are -275 and 6 non-equal? True Which is greater: 359/3 or 120? 120 Is 1146 at least as big as -3/4? True Which is bigger: -3/979 or 1? 1 Which is greater: 621 or 620? 621 Which is bigger: 2/7 or 993? 993 Do 831 and 858 have the same value? False Does 1 = -7/100? False Which is greater: -1303 or -1302? -1302 Is 14 at most 7? False Which is smaller: 345 or 344? 344 Is 45 <= 59? True Which is bigger: -148 or -221? -148 Which is bigger: -642 or 2? 2 Which is smaller: -6866 or 0.1? -6866 Does -636.8 = 1? False Is 386 equal to -20? False Which is bigger: -0.1 or -297.5? -0.1 Which is greater: 38/527 or 1? 1 Which is greater: 3/12209 or 0? 3/12209 Which is greater: -3/91 or -1? -3/91 Is -4 <= 207? True Is -114 at least as big as -114? True Is 1217/5 greater than or equal to 242? True Is 18 <= 69/4? False Is -8/3 smaller than -4? False Which is smaller: 3 or -0.8? -0.8 Which is smaller: 1244 or 1246? 1244 Is -129 less than or equal to -128? True Which is smaller: 16/457 or 0? 0 Which is bigger: 2 or -17? 2 Which is smaller: 828 or 830? 828 Are -1 and -6690 equal? False Which is smaller: 2/1945 or 0? 0 Is -97 bigger than -97? False Is 0.2 < 409? True Which is smaller: -73/8 or -8? -73/8 Which is smaller: -1107 or -1106? -1107 Is 912 at most 916? True Is 7/614 smaller than 0? False Which is greater: 0.2 or 0.569? 0.569 Is 1 smaller than 39/293? False Which is smaller: 0.0297 or 28? 0.0297 Which is smaller: -114 or -113? -114 Is 1.3 smaller than 0? False Is -2/21287 equal to -1? False Are -0.1 and 114 non-equal? True Which is smaller: -26 or -21? -26 Is -522 greater than or equal to -523? True Is 14583 at least as big as 14581? True Which is greater: 205 or 197? 205 Which is bigger: -1/384 or -1? -1/384 Is 0 equal to 4/401? False Are 81 and 3/7 unequal? True Is 5850 != 29246/5? True Which is smaller: 0 or 39/224? 0 Which is smaller: 24/11 or 1? 1 Does 3 = 30? False Is -1907 <= -1907? True Which is smaller: 732 or 731? 731 Which is greater: -10/181 or -1? -10/181 Which is smaller: 4.7 or -6? -6 Is -14 at least as big as 0.71? False Which is smaller: -809 or -807? -809 Which is smaller: -28 or 0.1? -28 Is -1 less than 13/420? True Which is smaller: -19 or -6? -19 Which is smaller: 18/163 or 1? 18/163 Which is smaller: 1 or -6/67? -6/67 Which is smaller: -653 or -3264/5? -653 Is -57/37 less than -1? True Are 9 and 1 equal? False Is 193 bigger than 193? False Which is bigger: -193 or 1/3? 1/3 Which is smaller: 2185 or 2182? 2182 Is -41 >= 8? False Is -6 equal to 7? False Which is greater: 201 or -1/3? 201 Which is smaller: -22 or -26? -26 Is -753 not equal to -0.1? True Which is smaller: -246/11 or -22? -246/11 Which is smaller: -234/37 or -7? -7 Is 72 greater than or equal to -218? True Which is smaller: -234.9 or -2/15? -234.9 Which is greater: 3 or 90/29? 90/29 Does 3822 = 3822? True Is 2/9 greater than or equal to -832? True Are 10122 and 0.1 equal? False Which is smaller: -8/9 or -7? -7 Is 77 not equal to 79? True Is -2743 equal to -2741? False Which is smaller: -1855 or -1857? -1857 Is -2912 != -2913? True Is -0.1 greater than -81? True Are 6 and 1.4 equal? False Which is bigger: 27 or 26? 27 Which is greater: -961 or -966? -961 Which is greater: 1 or -1/16245? 1 Is 12 at most 2/3? False Which is smaller: -43 or 0.1? -43 Which is smaller: -1/237 or 1? -1/237 Are -55 and -508/9 nonequal? True
What is the third biggest value in 2, 7, 6, -0.7, 1/5, 3? 3 Which is the smallest value? (a) 0.4 (b) -2/11 (c) -1 (d) 0.0393 c Which is the third smallest value? (a) -20 (b) 0.2 (c) -0.21 (d) -3/94 d What is the fourth biggest value in -5, -252, 1, -4? -252 What is the third smallest value in -31, -5, -1, -5/4, -3? -3 Which is the second smallest value? (a) 120 (b) 5 (c) -0.068 b Which is the third smallest value? (a) -10 (b) 0.1 (c) -4/3 (d) 0.07 (e) -5 (f) -4 f Which is the fourth smallest value? (a) -2 (b) 0.2 (c) 0.3 (d) -0.10768 (e) -2/11 b Which is the biggest value? (a) 5 (b) 17/4 (c) -6/11 (d) -4.5 (e) -1/3 a What is the second biggest value in -1/1484, -10, 1? -1/1484 What is the third smallest value in 1426, 3, -11, 0? 3 Which is the second smallest value? (a) -2/11 (b) 4/11 (c) 2 (d) -31/3 (e) 0.1 (f) -3 f What is the smallest value in -0.026, -72, 0.3, 0.5? -72 What is the biggest value in -0.06, 0.3, 5, 8379, -3? 8379 Which is the biggest value? (a) 8022 (b) 0.4 (c) -32 (d) 3 a What is the third smallest value in 5, -3, -0.1, 2/3, 3/221? 3/221 Which is the biggest value? (a) 4285 (b) 0.3 (c) 19 (d) -3 (e) -5 a Which is the third smallest value? (a) 5 (b) 1 (c) 318 (d) -1 (e) -0.3 (f) -93 e Which is the fourth smallest value? (a) 0 (b) -305/6 (c) 2 (d) -0.4 c What is the smallest value in 1/2496, 0.17, 45? 1/2496 Which is the second biggest value? (a) 1/5 (b) -8/5 (c) -10 (d) 2/7 (e) -0.1 a What is the second biggest value in -3, -2, -5, -7, -1/147? -2 Which is the third smallest value? (a) 1 (b) 22 (c) -1/11 (d) 1/833 a What is the third smallest value in -3/7370, -5, 0? 0 Which is the second smallest value? (a) -1 (b) 18 (c) 1105 b What is the biggest value in 184, -61/10, 13? 184 What is the fourth smallest value in 13, -4, -1/2, 5, 0.1282, -5? 0.1282 Which is the biggest value? (a) 0.4 (b) 4 (c) -6546 b Which is the fifth smallest value? (a) 2 (b) 45 (c) -1.2 (d) -3 (e) -11 b Which is the smallest value? (a) -0.221 (b) 1/4 (c) 0.12 (d) 0.54 a Which is the biggest value? (a) -23 (b) -1.72 (c) 0.5 (d) -5 c Which is the third smallest value? (a) 0.05 (b) -1/10 (c) -23.775 a Which is the smallest value? (a) 0.1 (b) -2/7 (c) -210/17 (d) 1 (e) -2/5 (f) 0 c Which is the third biggest value? (a) 2 (b) 4 (c) -1/368 (d) -5 c Which is the second biggest value? (a) 4 (b) -3514 (c) 2/3 c Which is the fourth smallest value? (a) -3/8 (b) -0.047 (c) -5 (d) 0 (e) 71 d What is the biggest value in 1, -1, -0.0171, 0.5, -0.3? 1 Which is the second biggest value? (a) 198 (b) 3 (c) -54 b What is the fourth biggest value in 67, -1/3, -5, -0.4, -3, 1? -0.4 What is the fourth smallest value in 0.08, -0.4, -2/45, 0.1, -2/21? 0.08 What is the fifth smallest value in -1/2, -3, 0.09, -2/3, 0.2? 0.2 Which is the sixth smallest value? (a) -6/7 (b) 4 (c) -1.9 (d) -2 (e) -28/9 (f) -0.09 b What is the third smallest value in -0.3, -0.4, -3, 12, -926? -0.4 Which is the fourth smallest value? (a) 0.4 (b) 2/11 (c) -4/83 (d) -33/7 a What is the third smallest value in 903, -4, -8? 903 What is the second biggest value in 205/7, -5, 4, -14? 4 What is the fourth biggest value in 4/7, 0.2, -0.4, 2/5, -3? -0.4 What is the fourth smallest value in 0.4, -0.4, -0.1, -0.3, -0.8? -0.1 Which is the third smallest value? (a) -2/3 (b) -0.4 (c) 68 (d) -3/8 d What is the third biggest value in -2/7, -374/29, 0.0074? -374/29 Which is the second biggest value? (a) -0.1 (b) -1/37 (c) 2/139 (d) -0.4 (e) -7 b Which is the fourth smallest value? (a) -1/5 (b) -0.5 (c) 2 (d) 0.3 (e) -1286/3 (f) 1/5 f Which is the third smallest value? (a) -5 (b) -76 (c) 0.0015 c What is the second biggest value in -180/6871, 5, 4? 4 Which is the fourth biggest value? (a) 2 (b) 1 (c) 2/3 (d) 236 (e) -6 c Which is the smallest value? (a) -5 (b) 13062 (c) 0.5 a Which is the biggest value? (a) 0.3 (b) 5 (c) 5384/3 c Which is the biggest value? (a) -1 (b) 2/7 (c) -0.102 (d) 0 (e) -4 b Which is the second smallest value? (a) -5/6 (b) 1150.4 (c) 4 c What is the fifth biggest value in -20, -3/4, -51, -0.4, -5, 0.5? -20 What is the second smallest value in -38, -1/3, 0.4, 6, -341? -38 Which is the third biggest value? (a) 1 (b) 2/7 (c) -87.9 (d) -6 d What is the fourth biggest value in -0.3, -3, 5, -0.124? -3 Which is the third smallest value? (a) 1.2 (b) -5 (c) -88 a What is the fourth biggest value in 3, -5, 2/7, -347, 7? -5 What is the third biggest value in 1.55, 2/17, 0.2, 0.03? 2/17 What is the second biggest value in -1/110, -9996, 0? -1/110 What is the second biggest value in -48, -1/2, 2/13, -3? -1/2 What is the sixth biggest value in -1, 0.27, 0.3, -132, -3, -2? -132 What is the third smallest value in 11368, 29, -2/3? 11368 Which is the third smallest value? (a) -1/4 (b) 813 (c) 0.0462 b Which is the fifth smallest value? (a) 0.5 (b) 5 (c) -0.3 (d) -30.8043 (e) -0.4 b Which is the third biggest value? (a) 81/755 (b) 2/5 (c) 8 a Which is the second biggest value? (a) -6 (b) 0.56 (c) 298 b Which is the fourth smallest value? (a) -22 (b) -0.3 (c) 1 (d) -23 c Which is the smallest value? (a) -5/21 (b) 3 (c) -33 (d) 13 (e) 4 (f) -5 c Which is the fifth biggest value? (a) 3/7 (b) -67 (c) -7/3 (d) 5 (e) 4 b What is the third biggest value in -769, 2, 5/7? -769 Which is the fourth biggest value? (a) -18 (b) 33/5 (c) -0.3 (d) 30 (e) 3 c Which is the second biggest value? (a) 169 (b) -2/7 (c) 3 (d) 337 (e) -1 a Which is the fourth smallest value? (a) 1 (b) -0.4 (c) -24 (d) 130 (e) -2/11 a What is the fifth biggest value in 15, 0.1, 3, -1, -0.36? -1 Which is the fourth smallest value? (a) -2/3 (b) 4 (c) -5 (d) 63.8 (e) 0.5 (f) 5 b What is the third smallest value in -196/3, 1.2, -1? 1.2 Which is the fourth biggest value? (a) -5113 (b) -0.3 (c) -4 (d) 0 a What is the third smallest value in 14, 3, 7, 0, -1/5? 3 Which is the sixth biggest value? (a) -2 (b) -3 (c) 9/1214 (d) 3 (e) -1 (f) 0.3 b Which is the fourth smallest value? (a) -6.9 (b) -1 (c) 1/4 (d) 14 (e) 0.076 c What is the smallest value in -0.2, -3/5, 58, -3, 10/3? -3 Which is the third biggest value? (a) -9/8 (b) -1.173 (c) 3/7 b Which is the second smallest value? (a) -0.4 (b) -0.2 (c) -6 (d) 5/7 (e) -0.1 a Which is the third biggest value? (a) -4/11 (b) -5/6 (c) 528 b Which is the second smallest value? (a) 0 (b) -2/5 (c) -4 (d) -26 (e) -0.0143 c Which is the biggest value? (a) 5 (b) -43/36 (c) 738 c What is the fourth biggest value in 0.2, -4, 0.569, -0.3? -4 Which is the third biggest value? (a) 2 (b) -5 (c) 0 (d) -12 (e) -0.03 e What is the fourth biggest value in 3, -5, -4, 0.2, 39484? -4 Which is the third smallest value? (a) 60/23 (b) 0.4 (c) 9 c What is the fifth smallest value in -5, 0, -1/6, -55, 1.3, 0.3? 0.3 Which is the smallest value? (a) 1/538 (b) -10 (c) -150 c Which is the biggest value? (a) 4 (b) -5 (c) 0 (d) 1/8 (e) 193 (f) -0.55 e What is the fifth smallest value in 18, 1/2, 0, -192, -2/9? 18 Which is the second smallest value? (a) -5 (b) -3 (c) -0.1606 (d) 4 b What is the second biggest value in -11, 2, 0.16, 6, -2? 2 What is the second biggest value in 986/13, 0.7, -2/15? 0.7 Which is the second biggest value? (a) 3/2 (b) -2/5 (c) 2/11 (d) -1.055 (e) -3 c Which is the third biggest value? (a) 8 (b) 0.06 (c) -5 (d) -33 (e) 5 b What is the second smallest value in 1/2, -6, 4, 1, 3, 17? 1/2 Which is the second smallest value? (a) 2/9 (b) 0 (c) 3424/7 (d) -9 b What is the third biggest value in 0, 388, 3, -20, 0.4, 0.3? 0.4 What is the second smallest value in -8.0253, -5, -0.07, -2/5? -5 Which is the fifth smallest value? (a) 4 (b) 5/3 (c) 2 (d) -0.07 (e) -1/5 a What is the third smallest value in -3, 290, -0.11, 0, 2, 1.6? 0 Which is the biggest value? (a) -0.5 (b) -0.1 (c) -0.3 (d) 2/11 (e) 969 e What is the third smallest value in 4, -3/5, 5, -0.5, -4479? -0.5 Which is the fifth smallest value? (a) -0.05 (b) 0.01 (c) 0.2 (d) 0.31 (e) -3 d Which is the fourth smallest value? (a) 2 (b) 33 (c) -250 (d) 2/211 b Which is the fourth biggest value? (a) -32 (b) 2/5 (c) 7 (d) 8 (e) -4/3 (f) 5 b What is the third smallest value in -1/6, 0.2, -51, 3/7, 2/7? 0.2 What is the third biggest value in -353.1, -0.19, -7? -353.1 Which is the smallest value? (a) -73 (b) 1.7 (c) 2 (d) 8 a
Differentiate 3194*b*j**3 + 384374*b wrt j. 9582*b*j**2 Differentiate -a**3*c*o + 360*a**3*o - 21*a**3 - 283*a**2*c + 2*a*c + 2*a*o + c*o with respect to o. -a**3*c + 360*a**3 + 2*a + c Find the second derivative of -133979*w*x**2 - 104137*w*x wrt x. -267958*w Find the second derivative of -836*d**5*t - 106*d**2*t**2 + d*t**2 + 32*d - 9418 wrt d. -16720*d**3*t - 212*t**2 Find the first derivative of 706*s*y - 2*s + 25*y - 21141 wrt y. 706*s + 25 What is the second derivative of -2630*t**3 - 2*t**2 - 305*t + 227 wrt t? -15780*t - 4 What is the third derivative of f**3*i**3 - 66*f**3*i - 16*f**3 - 34548*f**2 + 2*i**3 wrt f? 6*i**3 - 396*i - 96 What is the second derivative of -1083*g**4 + 9*g**2*o**2 - 211*g*o**2 - 2*g*o wrt g? -12996*g**2 + 18*o**2 What is the second derivative of 456067*w**4 + 2422781*w wrt w? 5472804*w**2 Differentiate 122043*t**2 - 34401. 244086*t Find the third derivative of -17920*y**4 - 34034*y**2 wrt y. -430080*y What is the third derivative of 149231*b**3 - 335810*b**2 wrt b? 895386 What is the third derivative of 242*o**4 + 92*o**3 + 1438913*o**2? 5808*o + 552 What is the third derivative of -1273*j**2*t**4 + 710*j**2*t - j*t**4 + 3*j*t**2 + 2*j*t - t**4 wrt t? -30552*j**2*t - 24*j*t - 24*t Find the second derivative of 24*d*g**2*p + 2*d*g**2 + 149*d*g*p - 2*d*g + 29*d*p - g**3 - 323*g**2*p + 2*g**2 - g*p wrt g. 48*d*p + 4*d - 6*g - 646*p + 4 What is the first derivative of 46*n**3 - 4*n**2 + 1649*n - 2986154 wrt n? 138*n**2 - 8*n + 1649 What is the second derivative of -6*f**5 - 215*f**4 + 26954*f? -120*f**3 - 2580*f**2 Find the second derivative of 3453*r**3*u**2 + 50*r**3 - r*u**2 - 4575*r - 2*u**2 - 16 wrt r. 20718*r*u**2 + 300*r What is the second derivative of 275*r*t**3 + 105*r*t**2 + 12*r*t - 2*t**4 - 429*t wrt t? 1650*r*t + 210*r - 24*t**2 Find the third derivative of 763*b**5 + 61*b**4 + 2*b**2 - 135698*b wrt b. 45780*b**2 + 1464*b What is the second derivative of -3392886*a**3 + 2927*a + 215? -20357316*a Find the second derivative of -1778*a*f**3*q**2 - 71*a*f**2*q - 34*f**3*q**2 + 14*f**3*q + 14*f**3 wrt q. -3556*a*f**3 - 68*f**3 Differentiate m**3 + m**2 - 1451*m + 39617 with respect to m. 3*m**2 + 2*m - 1451 What is the second derivative of 4*d**3*h**2 - 2856*d**3*h + d**2*h**3 + 2*d**2*h + 2*h**3 + 193*h**2 wrt h? 8*d**3 + 6*d**2*h + 12*h + 386 What is the third derivative of -350520*l**3*z**3 - 3*l**3*z**2 - 89*l**3*z - 3*l**2*z**2 + 15*l*z**2 wrt z? -2103120*l**3 What is the first derivative of 74*g**4 - 81*g**3 + 2*g**2 - 3461? 296*g**3 - 243*g**2 + 4*g What is the derivative of 3*j*q**2*v + 161*j*v - 2*j + 323*q**3*v + 4*q**2*v + v + 1 wrt q? 6*j*q*v + 969*q**2*v + 8*q*v What is the second derivative of -82316*k*q**2 - 5*k + 4042*q wrt q? -164632*k Find the third derivative of -2*a**4 - 2399*a**3*j - 2*a**2*j - 2*a**2 + 2*a*j - 3468*a wrt a. -48*a - 14394*j What is the derivative of 62078*q**4*z**3 - 2*z**3 - 175*z**2 + 14 wrt q? 248312*q**3*z**3 What is the first derivative of 2632*a**2*f + 154614*a**2 + 10*a*f + f wrt f? 2632*a**2 + 10*a + 1 What is the second derivative of -19595*y**5 - 49*y**4 - 4135257*y? -391900*y**3 - 588*y**2 Find the third derivative of 63886*a**6 + 3*a**3 - 19282*a**2 + 4. 7666320*a**3 + 18 Differentiate 1374473*t**4 + 207732. 5497892*t**3 Find the third derivative of 311824*f**3*g - 2*f**2*g + 280*f**2 - 2*f*g + 2*g + 88 wrt f. 1870944*g Differentiate -135092*w - 122052 wrt w. -135092 What is the first derivative of -3*k**2*w**2 + 686275*k**2 + 4193*w**2 + 86*w wrt k? -6*k*w**2 + 1372550*k What is the second derivative of 2726804*g**2 - 390889*g wrt g? 5453608 What is the second derivative of b**4 + 58041*b**3 - 530*b + 37? 12*b**2 + 348246*b What is the third derivative of -152436*d**6*q + 3*d**4*q - 190*d**2*q - 3*d*q - q + 9 wrt d? -18292320*d**3*q + 72*d*q Find the first derivative of -11691*o**2 - 16480. -23382*o Find the third derivative of -2*o**5 - 3*o**4 - 17364*o**3 + 4*o**2 + 4*o + 3067 wrt o. -120*o**2 - 72*o - 104184 Find the first derivative of l*r**2 + 1680314*l - 93430*r wrt r. 2*l*r - 93430 What is the third derivative of -2*r*u**4 + 5*r*u**3 + 111*r - 2*u**4 + 7236*u**3 - 647*u**2 + u wrt u? -48*r*u + 30*r - 48*u + 43416 What is the second derivative of -33*z**3 + 226*z**2 - z + 1718 wrt z? -198*z + 452 Find the third derivative of -20529*j**3 + j**2 + j + 20609. -123174 Find the third derivative of -919761*j**3 - 370759*j**2 + 2*j wrt j. -5518566 Differentiate -43575*n**2 - 5312. -87150*n What is the derivative of -3689*y**3 - 2*y - 52930 wrt y? -11067*y**2 - 2 Differentiate 4*c*r*v + 5*c*r + 293*c*u*v - 2*c*v - r*u*v - 11*r*u + r - u*v - 93*v wrt c. 4*r*v + 5*r + 293*u*v - 2*v Find the third derivative of z**5 + 36665*z**4 - 148269*z**2 wrt z. 60*z**2 + 879960*z Find the third derivative of -686*k**2*t**3 - 345*k**2 + 344*k*t**3 + 930*k*t**2 wrt t. -4116*k**2 + 2064*k What is the second derivative of 471692*o**2 - 367*o - 1078 wrt o? 943384 What is the third derivative of -160*t*w**4 + 3*t*w**3 - 5*t*w + 82*t - 6*w**4 + w**3 + 8*w**2 + w wrt w? -3840*t*w + 18*t - 144*w + 6 What is the third derivative of -1578680*v**3 - 177*v**2 + 68*v + 1? -9472080 Differentiate 9*q**3*u + 180316*q**3 + 2*q**2*u - 22115*q*u - 2*u - 1 with respect to u. 9*q**3 + 2*q**2 - 22115*q - 2 Find the third derivative of -2043315*k*r**3 + 11*k*r**2 + 3*k*r + k - 39 wrt r. -12259890*k Find the second derivative of -3*d**5 + 93*d**4 - 154*d**3 + 102132*d. -60*d**3 + 1116*d**2 - 924*d Find the first derivative of -5*i**4 - 100324*i**3 - 309235 wrt i. -20*i**3 - 300972*i**2 What is the third derivative of -18608*m**4 - 140719*m**2 wrt m? -446592*m Differentiate h**3*t + 1221113*h**3 - 1190218*h**2*t wrt t. h**3 - 1190218*h**2 Find the second derivative of 206947*v**5 - 9*v + 12671 wrt v. 4138940*v**3 What is the third derivative of 7921*f**2*k**4 - 3*f**2*k**2 - 4*f**2*k - 39*f*k - 19*k**4 + 23*k**2 wrt k? 190104*f**2*k - 456*k Find the third derivative of 285687*v**4 + 1564*v**2 - 4*v + 1 wrt v. 6856488*v What is the second derivative of -31979*l**2 + 534*l - 75 wrt l? -63958 Find the third derivative of a**2*m**3*q**3 + 2*a**2*m + a**2*q**2*u - a*m**3*q**2 + 1632*a*m**2*q**3*u**2 - 4*a*m**2*q**2*u**2 - 496*a*m**2*q**2*u wrt q. 6*a**2*m**3 + 9792*a*m**2*u**2 Differentiate -1281*i**2*o**2 + 273237*i**2 + 56*i*o**3 wrt o. -2562*i**2*o + 168*i*o**2 Find the second derivative of -870057*f**3 + 1247517*f wrt f. -5220342*f What is the third derivative of -192857*r**4 + 3*r**2 - 79532*r + 2? -4628568*r What is the second derivative of 377*i**3*k*p**2 - 3*i**3*p**2*w**2 - 2*i**3*p + 8*i*k**2*p**2 + 68393*i*k**2*p*w**2 - i*p*w + 3*k**2 wrt w? -6*i**3*p**2 + 136786*i*k**2*p What is the first derivative of 131663*o**4 - 2453 wrt o? 526652*o**3 Differentiate -5*y**3 - 266*y**2 + 2*y + 19454 with respect to y. -15*y**2 - 532*y + 2 Differentiate 2*a*n*q - 14512*a*q**2 + 3*n*q + 125*q**2 - q + 1 with respect to a. 2*n*q - 14512*q**2 Find the first derivative of -19401*j + 81247. -19401 What is the third derivative of 93*a**2*c**3 - a**2 - 4*c**5 + 5234*c**2 - 2 wrt c? 558*a**2 - 240*c**2 Find the second derivative of -132*h**4*l - 46*h**3*l + 24*h*l - 18*h + l + 7 wrt h. -1584*h**2*l - 276*h*l Find the second derivative of -15*y**5 + 2*y**3 - 125*y**2 + 320*y - 44. -300*y**3 + 12*y - 250 Differentiate -5689*r**2 + 2*r + 170 wrt r. -11378*r + 2 Find the first derivative of 346321*a**4*g + 533*g + 114 wrt a. 1385284*a**3*g Find the third derivative of 3291*h**3*j**3 + h**3*j*y**2 - 10*h*j**2*y**2 + 7*j**3*y**3 - 4*j*y + 16*y**3 - 2*y wrt j. 19746*h**3 + 42*y**3 Find the third derivative of 304458*g**2*q**3 - 2*g**2*q**2 - 329343*q wrt q. 1826748*g**2 What is the derivative of 71*f*o**2 + 4*f*o - 3*f + o**2 + o + 2884 wrt o? 142*f*o + 4*f + 2*o + 1 Find the third derivative of -207*f**2*g**3 + 6*f**2*g**2*l - f**2*g**2 + f**2 + 45*f*g**3 + 35*f*g**2*l - 8*g**3*l + 3*g**2*l + 8*g**2 wrt g. -1242*f**2 + 270*f - 48*l Find the second derivative of 179*t**4 - 397*t**3 - 2*t**2 - 15*t - 20141. 2148*t**2 - 2382*t - 4 What is the third derivative of -207917*c**4*j - c**4*w + 4*c**2*j*w - c*j*w - 11*c*j - 4*c*w + 110*w wrt c? -4990008*c*j - 24*c*w Find the second derivative of -30*k*p**2*u - 4*k*p - 2976*k*u + 2*k - 11585*p**2*u - 25*u wrt p. -60*k*u - 23170*u Find the third derivative of -18614*n**4 - 1207*n**2 + 6. -446736*n What is the derivative of -b*q**4 - 4*b*q*y + 55*b*y - 346*q**4 - 19*y - 1 wrt q? -4*b*q**3 - 4*b*y - 1384*q**3
Suppose 0 = -5*c - 3*r + 77, -3*c + 57*r + 27 = 54*r. Solve -305 = c*u - 214 for u. -7 Let m = -77 - -82. Suppose -2*g = -q - m - 4, 5*g - 25 = 3*q. Suppose 0 = -g*x + 4*x - 8. Solve 4*u - 2*u + x = 0 for u. -2 Let y(a) = -5*a**3 - 33*a**2 - 33*a + 1. Let j be y(-1). Solve 12*g - 24 = j*g for g. 4 Let t = -33602 - -33713. Solve 0 = 344*d - 307*d - t for d. 3 Let c be -1 + -1 + -1 - (-17 + -2). Let z be -2*(-47)/6 - c/24. Suppose -41*u + z = -38*u. Solve u*x = 2*x - 15 for x. -5 Let o(l) = -4*l**2 + 2*l + 1. Let r(i) = 9*i**2 - 4*i - 1. Let q(m) = -7*o(m) - 3*r(m). Let p be q(6). Solve -4*n + p - 8 = 0 for n. 3 Let j(d) = -d**3 + 23*d**2 - 74*d - 31. Let k be j(19). Solve k = -8*m + 39 for m. 4 Let f = 14 + -12. Let b = -2 - -7. Suppose z + f*i - b = 0, 2*z + 3*i - 34 = 5*i. Solve 5*c = -z - 7 for c. -4 Let t(n) = 3*n**2 - 15*n - 34. Let h be (-4)/(-3)*(-36)/24. Let f be t(h). Let q(z) = z**2 - 5*z + 2. Let j be q(5). Solve 0 = -2*y - j*y + f for y. 2 Let l(y) = 2*y**3 + 15*y**2 - 9*y + 217. Let c be l(-9). Solve 0 = -c*j + 69*j - 84 for j. 6 Suppose 4*s - 20 = -0. Suppose s*l = 3*m - 1 - 2, -5*m = -2*l - 24. Solve -3 + m = -w for w. -3 Let o = -257 + 110. Let f be 4/(-16) - o/28. Suppose 0 = -f*k + 14 + 11. Solve 4*m = -m + k for m. 1 Let v be ((-8)/(-12))/((-4)/228). Let w = v - -48. Suppose -w*c + 8 = -2*c. Solve c - 5 = -p for p. 4 Suppose 8*b - 4*b + 4*b = 24. Let z = 7 + -3. Suppose -3*f + o = -0*o - 1, -2*o = -z*f. Solve 2*n = -b - f for n. -2 Suppose 493*s - 130 - 2828 = 0. Let x(z) = -2 - 4*z - z**2 - 2*z**2 + 2*z**2 + 3. Let p be x(-3). Solve 5*c = s*c - p for c. 4 Let p(i) = -4*i + 7. Let b be p(2). Let v be (5/15 - 5)*(2 - b). Let k be (24/20)/(v/(-10) - 1). Solve k = -2*t + 1 for t. -1 Let d be 2/5 - (283/(-5) + 0). Let m = d + -53. Let z be (-1)/(-2)*0/(-1). Solve -m*g + z*g - 8 = 0 for g. -2 Let b = 7760 + -7682. Solve 0 = 25*v - 12*v + b for v. -6 Suppose -18*s - 468 = -70*s. Solve -w = -s*w + 24 for w. 3 Let k(o) = -3 + 6*o - 5*o + 0*o - 3. Let f be k(5). Let p be f/(4/(-4) - 0). Solve 4*j - 5 + p = 0 for j. 1 Suppose 0 = 7*m + 86 + 159. Suppose -o + 70 = -3*o. Let g = m - o. Solve 5*v - 2*v - 6 = g for v. 2 Suppose 0 = -5*b + 23 + 2. Suppose 4039 = 20*r - 2841. Let g = -326 + r. Solve -g = b*j + 2 for j. -4 Suppose -4*p + 30 + 10 = 2*k, -53 = -5*p - 4*k. Solve 38*t = -47 + p for t. -1 Suppose -21 + 12 = 2*c - 17. Let w(q) = -q + 1. Let d be w(1). Suppose d*a = -a. Solve 2*t - t - c = a for t. 4 Let r(t) = t**2 + 9*t + 10. Suppose 164 = 4*j + 32. Let y = 25 - j. Let g be r(y). Solve g = 3*i - i for i. 1 Suppose -148*j + 1184 = -1184. Solve -7 = j*s - 71 for s. 4 Let i = 0 - -5. Let b(m) = 33*m + 21. Let t be b(2). Suppose -o = w - 18, -t = -10*w + 5*w - 4*o. Solve i*g + w = -0 for g. -3 Suppose -4*z = 3*v - 27, 5*z - 2*z = 5*v - 16. Let o be (-1)/z + (-1 - 39/(-9)). Let w be 8/(-4)*(1 - o). Solve -w*p + p = 6 for p. -2 Let c(i) = -2*i**3 + 2*i**2 + 11*i - 5. Let y be c(7). Let d be y/(-108) + (-4)/(-18). Suppose -d = -18*o + 13*o. Solve o = n - 3 for n. 4 Suppose -8*y + 29 = -35. Solve -16 = -y*p - 56 for p. -5 Suppose 5*s + f = -0*f + 23, -3*s + f + 9 = 0. Suppose 2*n + 16 = s*o, 3*n + 4 - 25 = -3*o. Let m = 568 + -566. Solve -3*b + m = o for b. -1 Suppose -1081*v - 2 = -1083*v. Suppose 14 = -3*g - 22. Let m be g/21 + (-128)/(-28). Solve -v = s - m for s. 3 Suppose 3*l - 87 = z - 0*l, -3*l = 0. Let n = z - -89. Suppose -p - 1 = -n*b - 2*b, -19 = -3*p + b. Solve 4*q + 13 + p = 0 for q. -5 Let t(z) = -149*z + 1365. Let c be t(9). Solve 218*h = 230*h - c for h. 2 Let r = 67 + -200. Let k = 136 + r. Solve 0 = -k*t - 6 - 9 for t. -5 Let z(l) = -2*l**3 - 18*l**2 - 15*l - 16. Let h be z(-9). Solve h = -24*p + 47 for p. -3 Suppose 2*k - 147 = 3*f, -k + 3*f + 63 = -2*f. Suppose -7*p - 99 = -4*u - 8*p, -3*p = -3*u + k. Solve -u = 2*l - 7*l for l. 5 Let j(w) = 25*w - 41. Let g(c) = 77*c - 123. Let r(u) = -2*g(u) + 7*j(u). Let m be r(3). Solve -18 = 4*f - m for f. 1 Let t = -1541 + 1560. Solve -5 = -14*k - t for k. -1 Suppose 0 = 52*r - 55*r - 57. Let j(o) = -o**2 - 27*o - 152. Let u be j(r). Solve u = -9*c - c - 50 for c. -5 Let a = 104 - 92. Let i be (15/a)/((-6)/(-24)). Solve 0 = i*j + 12 + 8 for j. -4 Suppose 2*r - 62 = -2*y - 0*y, 4*y = r + 129. Suppose -7*k - y = 59. Let d be (2 + k + 1)*2/(-5). Solve d*v = 8*v + 8 for v. -2 Suppose -47 = r - 3*b, -r + 19*b - 53 = 22*b. Let i = r - -51. Solve 0 = -4*z - 7 - i for z. -2 Let a be (-264)/2508 + ((-2)/(-7) - (-24)/(-133)). Solve -14*l - 42 = -a*l for l. -3 Let y be (11/(-22) + (-6)/(-12))*-1. Solve y = 27*h + 75 - 291 for h. 8 Suppose -564 = -3*c - 90. Let j = c + -158. Solve j = -5*s + 2*s + 6 for s. 2 Let z = 10065 + -10056. Solve -z*x + 172 - 163 = 0 for x. 1 Let x(c) = c - 4. Let t be x(5). Let d = -167 + 172. Suppose 3*u = -d*g + 40, -3*g - u - 3*u = -35. Solve g - t = -4*s for s. -1 Let q = -4 - -4. Suppose 0*v - 862 = -2*v + 2*f, -3*f = -5*v + 2151. Suppose 4*x - v = -409. Solve q = 5*z - x for z. 1 Let o(b) = 18*b**3 - b**2 + 11*b - 10. Let m be o(1). Solve -5*t - 13*t = -m for t. 1 Let p be 14/2 - (0 + 3). Suppose -2*g + 0*n + 44 = p*n, 5*g = n + 132. Solve g - 8 = -6*k for k. -3 Let v(a) = -a + 3. Let c be v(4). Let h be -9 + 8 - (c + 0). Let k = 951 - 946. Solve -k = 5*j - h*j for j. -1 Suppose -c + 4*c - 4*y = 0, 0*y = 2*c + 3*y. Solve 191*g - 192*g + 7 = c for g. 7 Let b = 4982 + -4791. Solve -173 = 9*d - b for d. 2 Suppose 0 = 23*d - 6*d - 918. Let v be -3 + (d/(-8))/((-1)/4). Solve -12 = -9*n + v for n. 4 Let i(m) = -5*m + 89. Let f be i(20). Let s = f + 11. Solve 3*z + 4 - 1 = s for z. -1 Let p = 51 - -15. Let y = -61 + p. Suppose -y*v - 17 = -52. Solve -3*x + v = -8 for x. 5 Let z be (3 + (-54)/12)/(3/(-8)). Let w be 18/z*(-12)/(-18). Let n be -1 - ((-6)/w + -3). Solve k + 1 = n for k. 3 Let r be (-2 - 5)/(-7) + 4*1. Suppose -4*o + o - r*u - 19 = 0, 5*u = -25. Suppose -5*v = -4*v - o*v. Solve 0 = z - 3 - v for z. 3 Let n(u) = -49*u + 23*u**2 + 46*u - 3 + 5. Let j be n(1). Solve -19*w + 9 = -j*w for w. -3 Let j = -16538 - -16749. Solve -j + 565 = -59*v for v. -6 Suppose 0 = 4*o + 128 + 44. Let n = o - -37. Let d be (-48)/(-18) + (-2)/n. Solve -w = d*w - 8 for w. 2 Let w = -120 + -92. Let t = -207 - w. Solve -t*n + 15 = -5 for n. 4 Let z = -4151 + 4230. Let t be ((-154)/(-8))/(1/4). Let w = z - t. Solve -2 = -w*n + 3*n for n. -2 Let j be (-96)/(-15) - (-4)/(-10). Let z be 213/7 - -1*(32/56 + -1). Solve -j*d + 0*d = -z for d. 5 Suppose -1 = -6*g + 7*g. Let o(c) = -3*c. Let s be o(g). Suppose -3*t = -3*t + s*t. Solve 0 = -2*a - t + 2 for a. 1 Let m be (0 - 2) + -7 + 7/1. Let k be m/5 - (-1078)/70. Solve k = -5*y - 0 for y. -3 Suppose -30*z + 1950 = -20*z. Suppose -z*h + 202*h = 28. Solve -h = t - 5 for t. 1 Let c(p) = 32*p**2 + 6*p - 5. Let h be c(-1). Solve h*j - 29 = 13 for j. 2 Let d(k) = 9*k**3 - 4*k**2 - 14*k + 16. Let w be d(2). Solve -80*n = -91*n - w for n. -4 Suppose 26*h + 4*h - 1806 = -12*h. Solve -2 - 41 = -h*q for q. 1 Let k = 62 - 95. Let a be 1 + 39/9 + 11/k. Solve -a*g + 5 = -10 for g. 3 Let j be ((72/(-14))/3)/((-5373)/1071 + 5). Solve 0 = -j*b + 96*b + 24 for b. 4 Let m = 38 - 18. Suppose -4*b + 134 - 36 = 9*i, -i - 3*b = -16. Solve i*s = 5*s - m for s. -4 Let s(c) = c. Let r(z) = z + 7. Let u be r(-4). Suppose u*v + 9 = t - 9, 5*t + 10 = -5*v. Let y be s(t). Solve 0 = f + 6 - y for f. -3 Let y be 11*((-660)/(-121))/6. Solve y*v = -37*v - 235 for v. -5 Suppose 5*u = 5, 4*t - 27 = -t - 2*u. Let i be t/((-2)/(-7) - 60/(-280)). Solve -3*a + i*a + 21 = 0 for a. -3 Let l(f) = f**3 + 21*f**2 - 3*f - 42. Let j(k) = -k**3 - 37*k**2 - 34*k + 51. Let w be j(-36). Let r be l(w). Solve r*m = 20*m for m. 0 Suppose 36150 = 1151*u - 1076*u. Solve -27*o + u = 239 for o. 9 Let g be -3 - ((-18)/3 + 344). Let u = g - -346. Solve -u*r + 4 = -6*r for r. -4 Let w be (3 - 2) + 4*((-10)/(-8) + 0). Solve 601 - 595 = w*m for m. 1 Suppose 0 = -145*q + 207 + 2693. Solve 44*x - 39*x - q = 0 for x. 4 Suppose 2*s = 3*c + 27, -4*s + 2*c - 19 = -69. Let u = 16 - s. Let q be (u + 1)*(-3)/(-9)*3. Solve -q*z + 9 = -16 for z. 5 Let x be (8/(-14))/((-4)/14). Suppose -3*i + 23 = x*d, 0 = -4*i + 4. Suppose d*s - 24 = 2*s. Solve -s*m = -4*m for m. 0 Let t(i) = 22*i + 861. Let g be t(-38). Solve 833*q - 828*q = g for q. 5 Suppose 24*h + 66*h - 784 = -22*h. Solve -3*z + 4*z - h = 0 for z. 7 Let y(g) be the third derivative of g**4/6 - 7*g**3/6 - 1022*g**2. Let i = 3 + 0. Let s be y(i). Solve -4 = -3*d + s for d. 3
Solve -3*h = -6*x, 1004 = -5*x + 1004 for h. 0 Solve -18*y + 16 - 198 = -5*f, 4*y - f + 2*f - 241 + 273 = 0 for y. -9 Solve 0 = t + l - 40, 4*t - 1022*l = -1044*l + 142 for t. 41 Solve 9*q - 4*q - 180 = -30*v, -q = 6*v - 4*v + 254 - 302 for q. 54 Solve 72 - 145 = 10*k - 4*m - 67, -4*k + m - 3*m + 30 = 0 for k. 3 Solve y = 2*r + 9, 2*r - 14*y + 1411 = 1441 for r. -6 Solve -3*q - 4*v - 138 = 54, -732 = 2*q - 3*v - 621 for q. -60 Solve 2*g + 20 = -4*c - 0*g, -10*c - 211 = 4*g - 165 for c. -3 Solve -4*c = 51*i + 682 - 512, 11 = 3*i - c for i. -2 Solve -5*y + 11*h = -4*y + 14*h - 21, 6*y - 140 = -h - 3*h for y. 24 Solve 4*s + 5*d + 435576 = 435553, 9 = -3*s - d for s. -2 Solve -9*i + 5 = 5*m - 47, -3*i + 6 = 5*m + 2 for m. -4 Solve -10*n + 7 = 2*f + 75, 32 - 19 = -f - 3*n - 7 for f. 1 Solve -3*o - 6*d - 22 = -4*d, -5502*o + 5504*o - 5*d - 36 = 0 for o. -2 Solve -18*g + 16 = -4*v, -v - 22 = -g + 16 - 34 for g. 0 Solve 2*x - 7830*c - 94 = -7820*c, -c = 4*x + 22 for x. -3 Solve 3*a - 20 = -17*w, -w - 2372 + 2456 = -5*a for w. 4 Solve 3778580 = -5*g - m + 3778567, -g + 14*m = 31 for g. -3 Solve f - 3*w - 37 = 0, -5*w = 5369*f - 5367*f - 19 for f. 22 Solve q = -6*k - 123, -19583*q + 19584*q - 2*k - 37 = 0 for q. -3 Solve 5683*b + 10*o - 5 = 5685*b + 11*o, o - 1 = 4*b for b. -1 Solve -2*c - 8*z + 1714 = 1722, 7*c + 0*z = 5*z + 38 for c. 4 Solve 7*j + 5*g - 16 = 0, 1104*j - 4*g + 2 = 1106*j for j. 3 Solve 0*b + 5*i - 18 = 2*b, -3*b + 9*i + 19 = 13*i for b. 1 Solve -5*m = 4*j + 60, -4*j - 746716*m + 746721*m = -20 for j. -5 Solve 2*l = -41136*p + 41141*p - 34, 10*l = 5*p - 90 for p. 4 Solve 4*s - 58 = -h, h - h + 2*h + 1240 - 1206 = -2*h + 3*s for h. 2 Solve -5854*n - 3*q + 9 = -5853*n, -9 = -n + q for n. 9 Solve b - 12978 + 12986 = 0, 38 = 2*g - 4*b for g. 3 Solve -5*l - w = -l - 27, 0 = -4081*l + 4085*l + 3*w - 65 for l. 2 Solve 3*a - 1873 = -1837, 0*s - 2*a = s - 19 for s. -5 Solve -4*b + 515*u = 519*u - 180, 5*b - 5*u = -245 for b. -2 Solve 4*n - 60 = -2*h - 2, -116*h = -1565*n + 1564*n - 3597 for h. 31 Solve -5*d = -6*a + 203 - 168, 4*d + 19 = 3*a for a. 5 Solve 13*v - 9*f + 31 = 0, 70*v - 40*v - 2*f = 29*v - 5 for v. -1 Solve 5 + 12 = -3*j - 5*y, -40*j + 43*j - 3*y + 9 = 0 for j. -4 Solve 33*n - 31*n + 4*s = -98, -567 = 5*n + 24*s for n. -3 Solve 0 = -3*g - 18, -3*k = -4*k + 6*k - 2*g - g - 0*g + 7 for k. -5 Solve -3*m = 5*o - 72, -4*m - m - 4*o + 68 = 0 for m. 4 Solve 18 = 14*s - 19*s + 2*v, 4621*s - 2312*s + v - 9 = 2304*s for s. 0 Solve -2*z - 80 = -23*q - 99, 0 = -2*q - z - 4 for q. -1 Solve 5*k + 4*j + 32 + 1 = -19, -3*j - 10 = -2*k + 6 for k. -4 Solve 19*b - 55 = -9*p + 54*b - 20*b - 14*b, -3 = 3*b for p. 6 Solve -5*l = -16*v + 17, 0 = v + 2288*l - 2289*l + 1 for v. 2 Solve -q + q - 9 = -3*q + 2*q - 3*r, -5*r = -4*r - 2*r for q. 9 Solve 33*l = 17*l + 80, 1020 = 4*z - 6*l + 1022 for z. 7 Solve 0 = i + 3*i + 24873*k - 24878*k + 279, -22*i - 1443 = 3*k for i. -66 Solve -2*w = -2*v + 6, 667*v - 6 = -5*w + 665*v for w. 0 Solve -5*o + 10*h - 20 = 0, -3*h + 761 - 836 = 12*o for o. -6 Solve -5*h - 9*t - 19 - 7 = 0, -5*t - 15 + 27 = -h for h. -7 Solve -297*p = 89*c - 294*p - 109, 2*c = 7*c - p - 33 for c. 2 Solve -127 = 14*v - 3*g, -10*v + 342*g = 340*g + 90 for v. -8 Solve 19*z - 5819068*k = -5819067*k + 71, 5*z - 4*k - 71 = 0 for z. 3 Solve 0*v + 2*v - h + 13759 = 13776, 0 = 5*v - 10*h - 140 for v. 2 Solve 27 = -5*l + k, -33*l = -27*l - 5*k + 116 - 26 + 7 for l. -2 Solve -5*z + 81369*d - 81379*d + 75 = 0, 4*d = 4*z - 108 for z. 23 Solve 44 = 2*h + 2*b, -9591 + 9678 = 4*h + 5*b for h. 23 Solve 29 = 5*b + 6*t, 5*t + 0*t + 46 = 55*b + 11 for b. 1 Solve 0 = 2127*q - 2122*q - 3*z - 47, -z + 31 = 3*q for q. 10 Solve -4*u + 6*m = 4 + 64, -7 - 4 + 8 = -u - m for u. -5 Solve -r - 5*f - 32992 = -33211, -2*r - 3*f + 137 = 0 for r. 4 Solve 10*d - 1930 = -5*r - 1875, 4*d - 14*r = -18*r + 8 + 16 for d. 5 Solve 2*c - 92 = 8*m, 315*c + 310*c + m = 620*c + 6*m + 215 for c. 42 Solve 2*t = -5*k - 90, -2*t = 1834*k - 1853*k - 342 for k. -18 Solve 2*z = -5*m - 8, -383*m = -5*z - 0*z - 380*m + 11 for z. 1 Solve -4*l - 12 = -5*l - 3*d, -6*l - d + 60 = -15*l + 14*l for l. 12 Solve -6*y = -8*y - 6*r - 4, -9*y - 9*y + r + 24 = 2*y - 17*y for y. 7 Solve 0 = -4*p + 2*o + 22, 5*o + 73 = 94979*p - 94975*p for p. -3 Solve -4*c - c + 6*x = -8*x + 71, -5*c - 350*x + 353*x - 27 = 0 for c. -3 Solve 5*h + 5*a + 85 = 0, 116*h - 3*a = 118*h + 31 for h. -20 Solve y + 59 = -12*g, 3*y - 5*g - 39 = -11 for y. 1 Solve -x + 10 = -4*q, -3155*q + 3152*q - 53 = -6*x + 49 for x. 18 Solve -2*i + v + 19 + 8 = 0, 4*v + 768 = 68*i for i. 11 Solve 6*h + h + u + 0*u - 9 = 7*u - u, 0 = -2*u - 12 for h. -3 Solve -1023*r - 5*w - 15 = 1023*r - 2044*r, -76*r - 4*w - 384 = 0 for r. -5 Solve 5*c - 7*t = -105, 29*t = -7*c + 45*t - 21*t + 75 for c. 0 Solve 3*z - 39 = -3*d, -3*d - 2*z + z + 12 + 5 = 0 for d. 2 Solve -2*i - 7*i - 99 = 0, 3*i + 18 = -4*a + i - 0*i for a. 1 Solve -5*x + 472 = 5*f - 2*x + 529, 3*x = -42 for f. -3 Solve -4225 = -5*j + 37*m - 4069, -9 = -2*j - 3*m for j. 9 Solve -10729*f - 4 = u - 10728*f, 4*u - 7*f = 6 for u. -2 Solve 5*t - 14 + 33 - 9 - 23 = o, -4*t + 8 = -2*o for o. 2 Solve -4*w - 408*a - 37 = -403*a, 6*w + 5*a + 33 = 0 for w. 2 Solve -61*a - 60*a = -122*a - 2*m - 6, 0 = 3*a - 29*m + 158 for a. -14 Solve 107536*z - 15 = 5*m + 107541*z, z = 2*m - 18 for m. 5 Solve 5*j - 67 = 2*m - 179, -98 = 3*j - 32*m for j. -22 Solve h - 5*l = 1110 - 1164, -4*h - 250 = -3*l for h. -64 Solve 2*i - 40*l - 34*l + 70*l = -14, 13*i - 5*l = -7 for i. 1 Solve -12*z = 3*q - 87, z - 9503 + 9500 = 4*q for q. 1 Solve -j - 7 = -5*f + 56, 796*j - 4*f = 803*j - 27 for j. -3 Solve 3*r + 4*o = 6*r - 21, -5*r - 21*o + 20*o = -12 for r. 3 Solve 332180*j - 32 = 332177*j + 29*d, 0 = -2*d - 8 for j. -28 Solve 25*y = 62*y - 7*t - 604, 2*y + y + 4*t + 319 = -2*y for y. 1 Solve -5*g + 5*j = 15, -32*g + 36*g - 3*j + 9 = 0 for g. 0 Solve 0 = -5*j + 95 - 100, j + 0*j = -23*f + 321 for f. 14 Solve 3*w + 1 = 2*w + 2*o, -2*w + 1133 = -8*w - 2*o + 1169 for w. 5 Solve -7*q + 9 = -2*i + 122, 293 = 4*q + 2*i + 345 for q. -15 Solve -17*b + 15*b - 5*l + 53 = -2*l, -84 = -3*b - 3*l for b. 31 Solve -6*s + 24 = 4*n + 46 + 18, -s + 0*n - 4*n = -3775 + 3785 for s. -6 Solve -2596*j + 2599*j + 203*g = 204*g + 12, 0 = -2*j + 3*g + 8 for j. 4 Solve -10*k - 86*p + 475 = -91*p, 2*k - 2*p - 100 = 0 for k. 45 Solve d - 4*m = 3156 - 3223, 4*d - 20 = -2*m for d. -3 Solve 2*v - 21 + 3 = -3*a - v - 12, -5*a + 5*v = 0 for a. 1 Solve -203*l + 206*l = -4*y + 144, 12*l + 3*y - 69 = 0 for l. -4 Solve -5*f - 56 = o + 114, 357*o - 12*f - 391 = 356*o for o. -5 Solve -8*v - 98 = -5*s - 12*v + 87, 0 = s - 82*v + 377 for s. 33 Solve 111*t = 220*t - 112*t - 2*l - 37, -4*l = 3*t + 47 for t. -9 Solve j - 4*t + 14 = 14 - 23, 3*t + 92 = -5*j for j. -19 Solve -3*f + 13 = 5505*x - 5500*x, -50*f + 554 = -x for x. -4 Solve 4*m + 5*w + 58 = -4*m, -5*m + 23*w + 92 + 53 = 8*w for m. -1 Solve 921*q + 3*z = 666*q - 1191, q + z - 23 = 0 for q. -5 Solve 4*b + 5*x - 20 = 0, 817*b - 3*x - 15 = 814*b for b. 5 Solve m = -3*g + 65, g + 2*m - 222 = -92 for g. 0 Solve d = -16*d + 3*u + 373 - 541, 3*u = 3*d + 42 for d. -9 Solve -5*g - 149 = 4*j + 9, 2*g + 41 = -4*j - 15 for g. -34 Solve -240*d + 116*d - q = -125*d - 5*q - 70, -5*d + 2*q = -46 for d. 2 Solve 2*k - 6*k - 202 = 30*t, -2*k - 79 + 104 = -3*t for k. 2 Solve 72*q - c + 0*c + 164 = 2, 2*c - c = 11 + 7 for q. -2 Solve 0 = 2*s + l + 32, 0 = 4522*s - 4517*s + 3*l + 91 for s. -5 Solve 3*c - 39085 = -n - 39084, 17 = -n + 6*c for n. -5 Solve 6*a + 2*b + 120 = 4*b + 36, 0 = -2*b for a. -14 Solve 41*l = 43*l + 4 - 20, 156 = -7*m + 6*m + 32*m + 4*l for m. 4 Solve 2*w - 115 = -y - 96, -106 = -4*y - 38*w for y. 17 Solve 8 = -2*o + j + 30, o - 5*j - 34 = -20 + 6 for o. 10 Solve 14*d + 42*d - f - 183 = -5*d, -2*d - 5*f + 3 = -d for d. 3 Solve n + 3*m - 6 + 0 = -1, 51*n - 52*n + 12*m + 35 = 0 for n. 11 Solve 4*g - 59 = 4*s - 47, 3 = g + 4*s for g. 3 Solve m - 24 = 2*t, 26*t - 48 = -2*m + 18*t for m. 24 Solve 3932*o + 7*y = 3936*o - y - 168, y + 20 = 0 for o. 2 Solve -10*n + 16 = -15*i + 9*i, 0 = -4*n - 3*i - 53 for n. -5 Solve 3*w = 2*f + 11, -5*w + 48*w - 3*f + 307 = -6*f + 53 for w. -5 Solve z + 110 = g + 5*g, -2*g - 6726 + 3374 = -9*z - 3406 for z. -2 Solve -90*m - 158 - 60 = 2*a - 60 + 562, 4*m - 8*a + 6*a + 32 = 0 for m. -8 Solve -29 = -o + 10*d - 97, -6370*o + d = -2125*o - 2125*o - 2121*o + 9 for o. 2 Solve 3*r - 60 = -3*y, 1487*r - 5*y + 75 = 1491*r for r. 25 Solve -l - 2*s = 10, 66*l + 450*s + 2708 = 70*l for l. 2
Simplify (1 + (sqrt(833)*-2 - sqrt(833))*4 + -2)**2. 168*sqrt(17) + 119953 Simplify -5 + (sqrt(704)*1)**2. 699 Simplify (-5*(sqrt(91) - (sqrt(91) + (sqrt(91) - (sqrt(91) - (sqrt(91) + sqrt(91) + sqrt(91) + sqrt(91) + sqrt(91)*-1))))) - sqrt(91))/(sqrt(63)/(sqrt(9)*-1)). -14*sqrt(13) Simplify (sqrt(272) + sqrt(17) + -3)**2 - (sqrt(272)*-3)**2. -2014 - 30*sqrt(17) Simplify -2 + ((5*sqrt(190) + sqrt(190))/sqrt(10) + sqrt(19))**2. 929 Simplify (sqrt(143)*-1*6 - sqrt(143))/(sqrt(891)*-1). 7*sqrt(13)/9 Simplify (3*-1*sqrt(66))/(sqrt(294)*3). -sqrt(11)/7 Simplify (-4*-2*sqrt(10)/sqrt(5)*-2)**2. 512 Simplify (sqrt(612) + 1 + sqrt(612) + sqrt(17) + sqrt(17) + 2 + 5)**2 + -1. 224*sqrt(17) + 3395 Simplify (-6*sqrt(204)*-2)/sqrt(12). 12*sqrt(17) Simplify ((sqrt(2057) - (2*sqrt(2057) + -3 + sqrt(2057) + sqrt(2057))) + sqrt(2057))**2*1. -132*sqrt(17) + 8237 Simplify (sqrt(4)/(sqrt(2)*-2) + -4)**2. 4*sqrt(2) + 33/2 Simplify sqrt(36)/(sqrt(132)/(sqrt(11)*-1))*5. -5*sqrt(3) Simplify 1 + -1*sqrt(2) + -5. -4 - sqrt(2) Simplify 3 + -3 + -2 + (sqrt(288)*1)**2. 286 Simplify 2*sqrt(242) + 0 + sqrt(128) + (sqrt(320)*-1)/sqrt(10). 26*sqrt(2) Simplify (sqrt(1300)*1 - sqrt(52) - sqrt(52))**2. 468 Simplify -5 + (sqrt(6)/sqrt(3))**2 - (sqrt(242) + 2)**2. -249 - 44*sqrt(2) Simplify (6*(1 + sqrt(3)) - sqrt(3)) + sqrt(12)/sqrt(64). 6 + 21*sqrt(3)/4 Simplify 4*sqrt(51)/sqrt(192). sqrt(17)/2 Simplify (0 + 2*sqrt(2299) + sqrt(2299) - -2*sqrt(2299)*3)**2. 186219 Simplify (-2*sqrt(130)*-1)/sqrt(10). 2*sqrt(13) Simplify (sqrt(5) + sqrt(35)/(sqrt(28) - sqrt(7)) - (3 + sqrt(5) + -1))**2. -4*sqrt(5) + 9 Simplify -4 + sqrt(1300) + -1 + (sqrt(1300) + -2)**2*-2. -2613 + 90*sqrt(13) Simplify sqrt(38)/sqrt(2) + 3 - sqrt(19)*-1*-6. -5*sqrt(19) + 3 Simplify (-4 + 2 + sqrt(112) + -1)**2. -24*sqrt(7) + 121 Simplify (sqrt(352)*-5 + sqrt(22))/sqrt(2). -19*sqrt(11) Simplify -1*sqrt(1008)*-2. 24*sqrt(7) Simplify sqrt(39)/sqrt(3)*6 + sqrt(832) + 1*sqrt(832). 22*sqrt(13) Simplify -2 + (sqrt(242)*-1 + -5)**2. 110*sqrt(2) + 265 Simplify 1*sqrt(125) - (-5 + sqrt(30)/sqrt(6)). 5 + 4*sqrt(5) Simplify (((sqrt(140)/sqrt(4))/sqrt(7))**2 - sqrt(5))*-3. -15 + 3*sqrt(5) Simplify -2*((sqrt(2) - (sqrt(8)/sqrt(4) + 4)) + 3)**2. -2 Simplify (((2*sqrt(98))/sqrt(2))/((sqrt(7) - sqrt(28)/sqrt(4)*-3) + sqrt(7)))**2. 28/25 Simplify 1*(sqrt(17) - ((sqrt(102)*-2 - sqrt(102))/sqrt(6))**2). -153 + sqrt(17) Simplify 2*(0 + (sqrt(7) + sqrt(14)/sqrt(2))**2). 56 Simplify ((sqrt(48)/sqrt(4))/sqrt(4))**2*-4. -12 Simplify (5*-2*sqrt(147) + sqrt(147))**2 - (sqrt(6)/sqrt(2)*-6 + -2). 6*sqrt(3) + 11909 Simplify sqrt(4)/(sqrt(4)/sqrt(2)) - ((sqrt(100)/sqrt(2))**2 - sqrt(2)). -50 + 2*sqrt(2) Simplify -1*(sqrt(612) + 3). -6*sqrt(17) - 3 Simplify sqrt(14)/(sqrt(7) - sqrt(63)/sqrt(144)). 4*sqrt(2)/3 Simplify (-2*((sqrt(153) - (sqrt(153) + sqrt(153)*1)) + sqrt(153) + sqrt(153)) - sqrt(153))/((sqrt(9) - sqrt(1296)*-1) + sqrt(9) + sqrt(9)). -sqrt(17)/5 Simplify sqrt(343) + 5*(sqrt(343) - (-1 + sqrt(343))**2). -1720 + 112*sqrt(7) Simplify -1 + sqrt(63) + -4. -5 + 3*sqrt(7) Simplify (-1 + sqrt(5) + 2)**2 - (sqrt(720))**2. -714 + 2*sqrt(5) Simplify -3*-1*sqrt(68)*-1. -6*sqrt(17) Simplify (sqrt(640) + sqrt(40))/sqrt(5). 10*sqrt(2) Simplify (sqrt(192) + 1)*-1. -8*sqrt(3) - 1 Simplify -5*(-6*(2*sqrt(243) + 5))**2. -179460 - 32400*sqrt(3) Simplify sqrt(7) + (-3*sqrt(77))/sqrt(11) - -3*sqrt(14)/sqrt(2). sqrt(7) Simplify (sqrt(24) - -5*sqrt(24)*-2)/(sqrt(60)/(sqrt(5) + sqrt(45))). -36*sqrt(2) Simplify ((sqrt(64)/sqrt(2))/sqrt(8))/(sqrt(242) + (sqrt(242) - (sqrt(242) + sqrt(242)*1)) + sqrt(242) + sqrt(242) + sqrt(242)). sqrt(2)/33 Simplify 5*((2 + sqrt(112))*-1 - sqrt(112))**2. 160*sqrt(7) + 2260 Simplify 1*(0 + sqrt(242)). 11*sqrt(2) Simplify (2 + (sqrt(175) - 5*(sqrt(175) + sqrt(175) + 1)**2 - sqrt(175)))*6. -21018 - 600*sqrt(7) Simplify (sqrt(2) + sqrt(288))**2*3. 1014 Simplify sqrt(243) + 2 + -4 + 3. 1 + 9*sqrt(3) Simplify (0 + sqrt(1573) + sqrt(1573))*3 + 3. 3 + 66*sqrt(13) Simplify 5*((sqrt(280) - ((1*sqrt(280) + sqrt(280) - sqrt(280)) + sqrt(280)))/sqrt(10))/sqrt(4). -5*sqrt(7) Simplify (-3*sqrt(110)*2)/(3*(sqrt(10) + sqrt(70)/sqrt(7))). -sqrt(11) Simplify ((sqrt(396) + -2*sqrt(396) + sqrt(396))/sqrt(12))/(sqrt(99)/(sqrt(36)/sqrt(4))). 0 Simplify (-4 + (sqrt(162) - (-2 + sqrt(162) + 1)) + 3)**2. 0 Simplify 3 + (-1 + sqrt(475))**2 + (sqrt(684) + -2*sqrt(684) - sqrt(684)). -22*sqrt(19) + 479 Simplify ((-4 + sqrt(396) + 0)*5 + 1)**2. -1140*sqrt(11) + 10261 Simplify (sqrt(105)/(sqrt(7) - 2*sqrt(7)))/(sqrt(60)/(sqrt(12)*1)). -sqrt(3) Simplify -4*(sqrt(30) - sqrt(90)/(sqrt(3) - (sqrt(3) + sqrt(6)/sqrt(2))))/(1*sqrt(40)). -4*sqrt(3) Simplify (-2*sqrt(208))**2 - (sqrt(117)/sqrt(36))**2. 3315/4 Simplify 5*(sqrt(2) + 0)*1. 5*sqrt(2) Simplify -5 + 4*(sqrt(240)/(1*sqrt(10)))/sqrt(12). -5 + 4*sqrt(2) Simplify 1*sqrt(1008)*3. 36*sqrt(7) Simplify (-5*-1*sqrt(605)*-6)**2. 544500 Simplify (0 + -1*sqrt(11) + -3)**2. 6*sqrt(11) + 20 Simplify (2 + sqrt(44) - sqrt(11)) + (-2*(sqrt(11) + 0))**2. sqrt(11) + 46 Simplify (sqrt(99) + (sqrt(99) + -6*(-2*sqrt(99) - sqrt(99)) - sqrt(99) - sqrt(99)))/sqrt(9). 18*sqrt(11) Simplify sqrt(209)/(sqrt(44)/sqrt(4))*5. 5*sqrt(19) Simplify sqrt(11) + (sqrt(11) + 1*sqrt(11))*4 - (-1*sqrt(121))/sqrt(11). 10*sqrt(11) Simplify (sqrt(9) - 2*sqrt(45)/sqrt(5))/(sqrt(12)/(sqrt(4)*2)). -2*sqrt(3) Simplify sqrt(171)/(sqrt(900)*-2 + sqrt(9)). -sqrt(19)/19 Simplify sqrt(448)*2 + 1. 1 + 16*sqrt(7) Simplify (sqrt(88)*-6)/sqrt(2). -12*sqrt(11) Simplify (1*(sqrt(143)*1 - sqrt(143)))/(sqrt(396)*-1 + sqrt(11)). 0 Simplify (((2*sqrt(19))**2 + sqrt(19) + sqrt(19) + sqrt(19))*3 - (sqrt(2299)*-2)**2)*-3*6. -162*sqrt(19) + 161424 Simplify 6*(sqrt(539) + sqrt(539) + 1)**2*3. 504*sqrt(11) + 38826 Simplify (1*sqrt(539))**2 - sqrt(99)/(3*sqrt(9)). -sqrt(11)/3 + 539 Simplify (sqrt(117) - (sqrt(117) + sqrt(117) + (sqrt(117) - (sqrt(117) - -4*sqrt(117))) + sqrt(117)))/sqrt(9) - (sqrt(13) + 3 + 4). -7 + sqrt(13) Simplify (4*(sqrt(1900) + (sqrt(1900)*2 - sqrt(1900))))**2. 121600 Simplify 4*(1 + (sqrt(11) - (sqrt(1331) + sqrt(1331) + 0 + sqrt(1331) + sqrt(1331)))**2). 81360 Simplify (4 + 0 + sqrt(1216))**2 + (2*sqrt(1216) + sqrt(1216))**2*6. 64*sqrt(19) + 66896 Simplify (sqrt(228)*2*-4)/(sqrt(12) + (sqrt(300) - sqrt(300)*2)). 2*sqrt(19) Simplify (-2 + sqrt(171)/(-1*sqrt(1296)))**2. sqrt(19)/3 + 595/144 Simplify (-2*sqrt(2299) + -5 + sqrt(2299))**2. 110*sqrt(19) + 2324 Simplify (((-1 + sqrt(76))*-6)**2 - (sqrt(76) + 0)*-6)*-6. -16632 + 792*sqrt(19) Simplify (5 + -1 + sqrt(450))**2. 120*sqrt(2) + 466 Simplify ((sqrt(21) - sqrt(525))*3)/(sqrt(6)/(sqrt(2) - sqrt(50))). 48*sqrt(7) Simplify (sqrt(44) + -2*sqrt(44)*4)/(sqrt(144)/sqrt(4)). -7*sqrt(11)/3 Simplify (sqrt(20)*2)**2 - 1*sqrt(320) - -1*sqrt(55)/sqrt(99). -23*sqrt(5)/3 + 80 Simplify (4 + sqrt(180) + -1)**2*3. 108*sqrt(5) + 567 Simplify (sqrt(91) + sqrt(91) + sqrt(91)*1*-6)/(sqrt(35)/sqrt(20)). -8*sqrt(13) Simplify (-4 + (sqrt(176) + -5 - (sqrt(11)*-2 + 5)))**2. -168*sqrt(11) + 592 Simplify 5*(sqrt(114) + sqrt(114) + (sqrt(114) - (sqrt(114)*-1 + sqrt(114))))/sqrt(6)*-2. -30*sqrt(19) Simplify -3*-2*sqrt(17)*-4. -24*sqrt(17) Simplify 3 + -1*sqrt(13) + 4. -sqrt(13) + 7 Simplify 4*2*(sqrt(13) + sqrt(13)*1)*-4. -64*sqrt(13) Simplify (sqrt(350)/(-4*sqrt(112)))**2. 25/128 Simplify (-2 + (sqrt(304) - (sqrt(304)*-1)**2) - (-1 + sqrt(304)*2)) + 1. -304 - 4*sqrt(19) Simplify 4*(4 + sqrt(2)*3 - (2 + sqrt(98)))**2. -64*sqrt(2) + 144 Simplify (sqrt(8) - sqrt(48)/sqrt(6))/sqrt(4)*2. 0 Simplify 2 + -6*sqrt(7)*3 + -5. -18*sqrt(7) - 3 Simplify 0 + sqrt(300) + -4 + 2. -2 + 10*sqrt(3) Simplify (2*sqrt(76))/sqrt(4)*4. 8*sqrt(19) Simplify (1 + -3 + sqrt(7)*-4)**2. 16*sqrt(7) + 116 Simplify (sqrt(153)*-2*-3 + sqrt(153))/(sqrt(9) - (sqrt(9) - sqrt(36)*-4)). -7*sqrt(17)/8 Simplify -3*((sqrt(165)/(-3*sqrt(11)))/sqrt(5))**2. -1 Simplify (2*sqrt(102)*3)/(sqrt(162)/sqrt(3)). 2*sqrt(17) Simplify ((sqrt(22) - -1*sqrt(792))/sqrt(2) + 1)**2. 14*sqrt(11) + 540 Simplify -4*((sqrt(8) - (sqrt(48)/sqrt(6) - sqrt(8)))/sqrt(4))**2. -8 Simplify (-3 + sqrt(45) + -2)**2. -30*sqrt(5) + 70 Simplify (3 + sqrt(1100)*2 + 3)**2. 240*sqrt(11) + 4436 Simplify sqrt(112)/sqrt(4) + 2. 2 + 2*sqrt(7) Simplify (-1*sqrt(51))/sqrt(3) - (sqrt(68)/sqrt(4) + -4). -2*sqrt(17) + 4 Simplify (-3*(-1*sqrt(128) - sqrt(128)) + sqrt(128) + (sqrt(128) + sqrt(128) + sqrt(128) + sqrt(128) + 2)*-6)**2. 3264*sqrt(2) + 37136 Simplify 5*(sqrt(33) - sqrt(33)*1 - sqrt(33))/sqrt(11)*-6. 30*sqrt(3) Simplify (sqrt(200)*1)/(sqrt(20)/sqrt(2)*-6). -sqrt(5)/3
Evaluate ((-5)/(-18))/((-10)/(-6)). 1/6 ((-1)/(-14))/(((-144)/(-9))/(-32)) -1/7 What is (-1*(-8)/(-18))/((-2)/1)? 2/9 What is the value of ((81/(-21))/(-9))/(32/28)? 3/8 Calculate 16/(-8)*1/(-6). 1/3 What is the value of ((-15)/(-24))/((-9)/12)? -5/6 What is (-1)/(14/(-126)*1/(-1))? -9 What is the value of (3/(-1))/(6/(-18)*3)? 3 Calculate ((-10)/15)/(5/((-225)/(-40))). -3/4 ((-6)/7)/(7/49) -6 Calculate (1/(-2))/(4/(64/(-4))). 2 What is (-9)/108*24/(-9)? 2/9 Evaluate (-4*(-1)/4)/((-2)/6). -3 6*9/(45/5) 6 Calculate ((-91)/442)/(14/(-8)). 2/17 Calculate ((-48)/56)/((-27)/84). 8/3 What is ((-20)/24)/(1/(-6))? 5 (-24)/128*8*32/6 -8 Evaluate (-18)/15*(-22)/(-44). -3/5 What is (((-64)/6)/(-8))/((-40)/4)? -2/15 What is the value of -4*2/(-16)*(-4)/(-2)? 1 What is (12/(-6))/((6*-2)/2)? 1/3 What is ((-4)/4)/(1/(-6)*8)? 3/4 What is (-2)/(4/3)*(-6)/9? 1 What is (2/(-48)*2)/((-2)/3)? 1/8 ((-1)/1)/(3*6/(-3)) 1/6 What is the value of 16/(-10)*1/((-2)/5)? 4 Evaluate 0/((-4)/10*-5). 0 What is the value of ((72/189)/8)/((-2)/(-12))? 2/7 Calculate 6/((-2736)/12)*-4. 2/19 What is the value of (-4*(-75)/420)/1? 5/7 Evaluate (-1)/((-6*(-4)/(-60))/(-2)). -5 Calculate (8/(-4))/(10/280*8). -7 Calculate ((12/(-14))/(-3))/(136/204). 3/7 ((-6)/(-66))/((-4)/8) -2/11 What is the value of (12/(-18)*6/(-2))/(-1)? -2 Calculate ((-56)/(-320))/7*8. 1/5 Calculate 5/1*56/(-70). -4 What is the value of (64/(-8))/(-48)*1*3? 1/2 Evaluate -2*((-18)/(-72))/((-2)/(-12)). -3 What is 8/4*(-5)/50? -1/5 What is 2/(-4)*(-7)/(7/2)? 1 (-108)/(-24)*(-1)/6 -3/4 Calculate (-468)/(-5460)*5*-1. -3/7 What is ((-1)/(-2))/((3/(-8))/3)? -4 Evaluate (((-2)/(-4))/1)/((-115)/276). -6/5 (-15)/(-3)*3/3 5 What is the value of 50/(-75)*1/2*-3? 1 ((-8)/4)/((-6)/12) 4 Calculate (2/6)/(-1)*(-72)/(-16). -3/2 What is (2/3)/((-2)/72*-8)? 3 What is 124/(-155)*(-5)/18? 2/9 What is (-6)/(-2)*3/(-9)? -1 What is the value of ((-18)/108)/((-4)/(-6))? -1/4 What is the value of 2/(-88)*28/(-7)? 1/11 Evaluate 168/1680*5/4. 1/8 Calculate (-12)/30*35/(-14). 1 Evaluate ((108/(-15))/6)/((-4)/10). 3 What is (-14)/(-63)*6/(-24)*-3? 1/6 Calculate 18/81*(-4)/8*-54. 6 (76/(-418))/((-6)/44) 4/3 (((-4)/9)/(-4))/((-1)/3) -1/3 What is the value of 8/(16/(-1))*14? -7 ((-16)/6*-3)/(2*-1) -4 Calculate (0/1)/(31/((-372)/(-72))). 0 What is (((-8)/(-15))/(-4))/(11/(-99))? 6/5 Evaluate (-7)/7*(-12)/78. 2/13 Calculate (40/(-25))/8*(-2)/1. 2/5 Calculate (-426)/(-284)*(-4)/(-10). 3/5 What is the value of ((4/3)/2)/(2/12)? 4 Evaluate 2/6*(-108)/(-12). 3 Calculate ((-3)/(-7))/(4/(-28)). -3 What is the value of (96/(-320))/(3/(-2))? 1/5 Calculate ((-40)/(-24))/(2/((-6)/(-1))). 5 Calculate (8/6)/(8/(-36)). -6 What is the value of 4/(-14)*(-231)/(-363)? -2/11 What is 60/(-825)*(-35)/14? 2/11 Evaluate ((-140)/(-8))/(420/240). 10 Calculate (-34)/204*(-10)/1. 5/3 (-16)/(-32)*4/(-1) -2 What is 50/(-15)*-1*6/(-4)? -5 2/(((-4)/6)/((-5)/(-3))) -5 What is 0/(-67)*(-1)/(-1)? 0 What is the value of (1/3)/(-8*(-2)/96)? 2 What is the value of ((-2)/(-3))/(8/(-12))*5? -5 Calculate -4*(20/5)/(-56). 2/7 Calculate 71/426*(4/5)/1. 2/15 Calculate ((-26)/156)/(2/3). -1/4 What is the value of -7*(-33)/(-308)*16/(-42)? 2/7 Calculate (-1)/(-4)*12*6/45. 2/5 What is (4/7)/((-12)/(-42)*1)? 2 Calculate ((-6)/(-15)*-2)/((-4)/(-30)). -6 Calculate ((-8)/6)/((637/(-78))/(-49)). -8 Evaluate ((4/(-6))/(-1))/((-42)/126). -2 What is the value of 30/9*((-21)/(-2))/7? 5 What is 3/((-12)/16)*5/70? -2/7 What is (-70)/(-28)*(-12)/315? -2/21 What is (5/40)/(1/6*1)? 3/4 -1*((-3)/7)/3 1/7 Calculate (48/(-3))/2*(-4)/8. 4 ((-3)/(-60)*-4)/((-3)/(-6)) -2/5 ((-130)/39)/(4/6) -5 Calculate 324/576*2/9*3. 3/8 Calculate 2/77*(-35)/(-5). 2/11 What is the value of (1/6)/(10/150)*-2? -5 What is (18/6)/(108/8)? 2/9 Evaluate ((-5)/16)/(1/4). -5/4 What is ((-1)/6*1)/(16/(-36))? 3/8 Evaluate ((-756)/693)/((-2)/11). 6 Calculate (-1)/7*42/21. -2/7 8*((-3)/48)/(16/(-128)) 4 0/(40/10)*1/(-2) 0 ((-6)/(-5))/(16/40) 3 What is 6/12*36/33? 6/11 What is the value of (-8)/(-1)*(-36)/(-96)? 3 What is the value of ((-5)/(-20))/(3/(-18))? -3/2 What is (-7)/(14/(-2))*16/(-8)? -2 What is the value of (-1)/3*(-12)/(-8)? -1/2 What is 10/((-2)/((-32)/(-10))*-4)? 4 Evaluate (4/(-10))/((-11)/5). 2/11 What is the value of (30/(-8))/((-25)/40)? 6 What is (4/14)/(10/(-70))? -2 What is ((-12)/(-72))/(-3*2/(-180))? 5 What is the value of ((-6)/4)/((-600)/(-50))? -1/8 ((-1)/3)/((-6)/(-27)) -3/2 What is (((-11)/(-22))/(7/4))/(-1)? -2/7 What is 2/8*((-80)/5)/8? -1/2 What is the value of ((-8)/160*-8)/((-8)/(-25))? 5/4 What is ((-4)/10)/(9/45*-7)? 2/7 Evaluate ((-5)/(-10))/(4/(-40)). -5 What is (-3)/2*(-12)/(-9)*1? -2 (6/(-30)*5)/((-1)/(-3)) -3 Evaluate (-1)/(40/(-48)*(-28)/10). -3/7 Evaluate (9/(-15))/((-186)/(-124)). -2/5 ((-2)/7)/(5/105*3) -2 Calculate (-8)/3*2/(-4)*-3. -4 Calculate -3*(-1)/2*(-4)/15. -2/5 What is the value of ((-3)/6)/((-6)/(-8))? -2/3 What is 12/9*(-42)/196? -2/7 What is the value of (-36)/(-30)*3/((-27)/(-30))? 4 Calculate 20/8*(-2)/2. -5/2 What is 6*12/(-72)*5? -5 What is (-10)/((-1)/((-2)/4))? -5 Evaluate ((-120)/(-160))/(6/40). 5 Calculate (29/58)/((-2)/(-8)). 2 3/(-6)*(6/1)/3 -1 What is the value of ((-10)/(-18))/((-5)/(-2))? 2/9 What is ((-6)/15)/((-15)/(30/4))? 1/5 Evaluate 4/(-42)*2*18/(-12). 2/7 What is the value of (-5)/(2/2)*136/340? -2 What is (-9)/108*(-32)/(-12)*1? -2/9 What is (-1)/((10/(-15))/((-96)/(-18)))? 8 What is 20/(-4)*3*2/6? -5 Calculate 4/(24/(-27))*(-2)/(-12). -3/4 What is the value of (-5)/(-90)*-1*4/1? -2/9 Calculate (-4)/6*(-4)/16*1. 1/6 Calculate (-9)/108*-6*2/(-1). -1 Evaluate 244/7625*10/(-4). -2/25 What is (24/(-140))/(3/(-5))? 2/7 What is (-168)/105*1/(-8)? 1/5 What is (156/130)/(2/20*-21)? -4/7 What is the value of 12/(-30)*500/80? -5/2 What is the value of (-5)/10*(-8)/12*15? 5 Evaluate 9/(225/(-10))*-10. 4 Evaluate (-1)/2*(-72)/(-27). -4/3 Calculate (2/(-26))/((171/(-18))/19). 2/13 Calculate 132/(-165)*(-3)/(-18). -2/15 Calculate 21/(-1)*-4*(-1)/(-14). 6 What is -15*(-11)/990*15/(-2)? -5/4 What is (-14)/(-12)*4*147/(-98)? -7 What is ((-5)/(-6))/(540/144)? 2/9 What is ((-35)/3)/(545/(-327))? 7 Calculate (-40)/48*(-18)/20. 3/4 What is (1/3)/(((-14)/(-84))/1)? 2 -1*((-24)/(-20))/(-3) 2/5 10/4*6*(-2)/60 -1/2 2/(4/24*3/(-1)) -4 Calculate (-6)/(-12)*9/(9/(-2)). -1 What is (45/(-5))/(66/4)? -6/11 What is the value of 38/(-152)*-2*(-1)/2? -1/4 What is the value of -2*(-1)/2*105/15? 7 What is the value of 2*1*(-3)/(-18)? 1/3 What is the value of (-2*(-6)/(-8))/((-42)/(-8))? -2/7 What is ((-11)/33)/(6/(-3))? 1/6 What is (-18)/(-24)*(-48)/(-9)? 4 What is the value of (4*2/(-12))/(4/(-6))? 1 What is (24/90*-3)/(2/(-5))? 2 What is the value of (1*-1)/(-1)*(-7)/(-7)? 1 What is (-1)/((-4)/(-6))*3/36? -1/8 Calculate -2*((-7)/(70/(-4)))/2. -2/5 Evaluate ((-5)/(-3))/((-84)/504). -10 Evaluate -2*(-3)/2*(-116)/1392. -1/4 What is (23/((-759)/(-176)))/(4/6)? 8 What is the value of (-3)/2*-2*(-4)/36? -1/3 What is (72/16)/(90/20)? 1 What is the value of (13/13)/(((-8)/(-10))/(-4))? -5 What is (-6)/10*(-30)/(-324)? -1/18 What is the value of (-3)/(6*4/(-16))? 2 What is (8/6)/(124/465)? 5 (-8)/(-44)*9/18 1/11 What is ((-4)/(-6))/((-12)/(-9))? 1/2 Evaluate ((24/(-3))/8)/3. -1/3 What is 14/(-7)*(-25)/10? 5 Evaluate (48/1092)/(12/14)*-3. -2/13 Evaluate 12/(-14)*(-7)/((-6)/6). -6 Calculate (1/1)/((-756)/(-336)). 4/9 Evaluate (-80)/48*24/20. -2 6/4*750/(-225) -5 ((-546)/1365)/((-2)/(-20)) -4 What is the value of (-18)/27*(18/(-28))/3? 1/7 What is the value of ((-4)/(-6))/((-170)/(-1275))? 5 Evaluate ((-4)/(-2))/((-65)/(45/9)). -2/13 What is ((-2)/(-7))/(16/(-14))? -1/4 What is the value of 8/(-12)*(12/10)/(-2)? 2/5 Calculate 4*(39/(-42))/13. -2/7 Evaluate (((-4)/(-5))/(-1))/(38/95). -2 Calculate (32/40)/((-1)/(5/2)). -2 Calculate (-6*1/14)/(1/(-7)). 3 Calculate (-2)/(48/3)*-8. 1 What is 12/44*((-70)/(-21))/(-5)? -2/11 ((-56)/(-49)*1/2)/2 2/7 Calculate (-48)/64*((-6)/(-27))/1. -1/6 (-10)/(-12)*432/810 4/9 (-170)/(-340)*(-4)/3*-6 4 What is ((-5)/1)/((-205)/(-82))? -2 Calculate 33/(-484)*5/((-30)/16). 2/11 2/2*2/(-10) -1/5 Calculate ((12/2)/12)/(2/(-16)). -4 Calculate 54/36*(-2)/(-6). 1/2 Calculate ((-6)/((-3)/1))/((-6)/15). -5 What is the value of ((-6)/7)/((40/(-28))/(-5))? -3 What is (-2)/10*(-470)/(-376)? -1/4 What is the value of 4/((-5)/(-10)*2)? 4 What is the value of (-1)/((-4)/(-4))*1? -1 What is ((-3)/15)/(((-18)/(-15))/3)? -1/2 ((-39)/13)/(6/(-4)) 2 Calculate 6/(-63)*9/6. -1/7 Calculate ((-1)/6)/((-8)/216*-9). -1/2 What is the value of (-16)/10*45/18? -4 Evaluate (9/42)/(192/(-64)). -1/14 Calculate (4/6)/(500/150). 1/5 Calculate ((24/42)/1)/2. 2/7 (3/(3/1))/((-35)/5) -1/7 What is 1/((-5)/(60/108))? -1/9 What is the value of 4/(-2)*4/4? -2 ((-202)/3535)/((-1)/(-10)) -4/7 (1/(-1))/((-20)/(-100)) -5
Suppose -w = -6*w + 60. Suppose 0 = 4*v - 3*d + 7 - 23, -3*v - d = -w. Suppose -v*g + 0*g = 8. Let q(k) = 2*k - 2. Give q(g). -6 Let k = -14 - -11. Let a(c) = -c**2 - 3*c + 3. Let l be a(k). Let i(z) = -l*z + 5 + 2*z**2 + 2*z**2 - 5*z**2. What is i(-5)? -5 Let s(d) = -d**3 - 8*d**2 - 3*d + 1. Let g(k) = -6*k**3 - 41*k**2 - 16*k + 2. Let b(m) = -2*g(m) + 11*s(m). What is b(6)? 1 Let w(n) be the second derivative of -n**5/20 - 7*n**4/12 - 2*n**3/3 + 3*n**2/2 + 230*n. Calculate w(-4). -29 Let y(b) = -2 + b + 4*b + 0*b - 3*b. Let c(a) = -5*a + 11. Let h(s) = -3*s + 5. Let z(p) = 2*c(p) - 5*h(p). Let l(r) = 7*y(r) - 3*z(r). Give l(0). -5 Let l be 2/7 + 54/(-42)*1. Let n(x) be the first derivative of -3*x**2/2 + x - 4. Calculate n(l). 4 Let q(t) = -7*t**2 + 4*t + t**3 + 2*t**2 + 0*t**2 - 4*t**2 - 21. Determine q(9). 15 Let x(p) = -p**2 - p + 4. Let z(w) = -4*w**3 + 3*w**2 + 4*w. Let o be z(-1). What is x(o)? -8 Suppose 0*b + 4*b = 4. Let h(p) = p - b + 1 - 1. Let i be (-220)/165*6/(-4). What is h(i)? 1 Let c be ((-5)/(-15))/(4/40)*3. Let x(y) = y**2 - 7*y + 5. Give x(c). 35 Let q(v) = -v**2 - 5*v - 2. Let u(y) = y**2 + 6*y - 3. Suppose -33 = 7*j + 9. Let r be u(j). What is q(r)? 4 Let j(o) = 2*o**2 - o + 2. Let b(x) = 6*x**2 - 4*x + 3. Let w(v) = b(v) - 2*j(v). Give w(3). 11 Let b(a) be the second derivative of -a**4/12 + 4*a**3/3 + 6*a**2 + 424*a. What is b(10)? -8 Let h(r) = r**3 - 3*r**2 - r. Let a be h(3). Let s(j) = -2*j - 9. Let u be s(-7). Let i(n) = -u*n - 972 + 969 + 3*n. What is i(a)? 3 Let i(g) = 5*g - 134. Let d be i(27). Let s(q) = 11*q**2 + 1. What is s(d)? 12 Let a(q) = 6*q**2 - 5*q - 4. Let n(r) = -5*r**2 + 4*r + 3. Let y(d) = -4*a(d) - 5*n(d). Let u be 14/15 + 23/345. Give y(u). 2 Let z be (-16)/24*-2*(-6)/4. Let l(t) = 7*t**2 + 3*t. Calculate l(z). 22 Let v(p) = -p - 1. Let f be ((-3)/(-4))/3 + 1935/36. Let o = -56 + f. Give v(o). 1 Let d(k) = -9*k + 40. Let c(w) = -4*w + 17. Let m(z) = -7*c(z) + 3*d(z). Give m(4). 5 Let o(w) be the second derivative of 0 - 3/2*w**2 + 1/3*w**3 - w. Determine o(5). 7 Let g be 3*(-4)/12*3. Let u(z) be the first derivative of -z**4/2 - 5*z**3/3 - z**2/2 + 2*z - 9. Determine u(g). 14 Let j(m) = m**3 + 7*m**2 + 8*m + 13. Let p be 7*4/42*-9. Calculate j(p). 1 Suppose 109 - 25 = -4*u. Let w = u + 22. Let l(g) = -4*g + 9*g - w + 4 + g**2 - 2. Determine l(-4). -3 Let f(k) be the third derivative of 0 + 19*k**2 + 1/120*k**6 + 1/24*k**4 + 1/20*k**5 + 2/3*k**3 + 0*k. Determine f(-3). 1 Let z(p) = -p**2 - p + 3. Let g = 10 + -28. Let u = g + 6. Let k = u - -12. What is z(k)? 3 Let o(j) be the third derivative of j**5/60 + j**4/8 + j**3/2 - 15*j**2. Let t(y) = -y**2 - 4*y - 3. Let r(l) = -6*o(l) - 5*t(l). Calculate r(3). -6 Let d = 21 + 1. Let u = -28 + d. Let n be 1/3 - (-38)/u. Let g(c) = c**3 + 7*c**2 + 5*c + 2. Give g(n). 8 Let t(k) = -4*k + 1. Suppose -26*o - 23 = 3. What is t(o)? 5 Let v(k) = 6*k**2 - 8*k + 1. Let p(f) = -f**2 + f - 1. Let q(z) = 5*p(z) + v(z). Calculate q(4). 0 Let g(p) = -2*p**2 - p - 1. Suppose 2 = i - 2*t, -i + 4*i = 3*t - 9. Let u be (-1 - (1 + 0))*(-4)/i. What is g(u)? -2 Suppose 0 = 5*y - 2*y. Let n be -1*(-3 - y/(-1)). Let m(r) = -3*r + 4. Give m(n). -5 Let r(k) = 3*k**2 + k - 1. Let w(p) = 11*p**2 + 2*p - 4. Let l(z) = 4*r(z) - w(z). Give l(2). 8 Let x = -1271 - -1271. Let v(b) = -b**2 + b + 1. What is v(x)? 1 Let n(h) = -h**2 - 3*h - 1. Let r be 2/4 + 30/48*-4. Determine n(r). 1 Let x(f) = -4*f**2 + 3*f - 1. Let u(h) = 21*h**2 - 17*h + 5. Let b(j) = -u(j) - 5*x(j). Give b(1). 1 Let p be 792/(-99) - 3*2. Let n(h) = h**3 + 13*h**2 - 12*h + 27. Calculate n(p). -1 Let r(c) = -11*c**2 - 12 + 9*c**3 + 4*c**2 + 25*c**2 - c - 8*c**3. Determine r(-18). 6 Let i(z) = -10*z - 2730 + 1352 + 1328. Determine i(-6). 10 Let l = -13 + 14. Let z(h) = -5*h**2. Let n(m) = m**3 - m**2. Let f(q) = l*z(q) - n(q). Calculate f(-4). 0 Let i(z) = z + 4. Let q be ((-14)/(-6))/(2*(-3)/18). Determine i(q). -3 Suppose -3*n - 3 - 3 = 5*b, -2*b = 6. Let v be (-2)/10 - 55/(-25). Let u be v/1 + n + -5. Let f(i) = i + 13. Determine f(u). 13 Let j(s) = -10*s. Let a(y) = 11*y + 1. Let v(u) = 6*a(u) + 7*j(u). Give v(7). -22 Suppose -k + 2*v + 1 = 7, -2*v + 6 = 0. Let o(m) = 5*m - 8*m + 5*m + 5 + k*m. What is o(-4)? -3 Let k = 29 + -27. Let g(m) = -10*m - 1 - 3*m**k - m**3 + 0*m**2 + 8*m. What is g(-3)? 5 Suppose -c - 3*c = 32. Suppose y = 5*o - 45, -4*y - 8 + 78 = 5*o. Let j(h) = 3 - 3*h - 5 - 1 + o*h + h**2. Determine j(c). 5 Let l(o) be the second derivative of o**5/20 + 2*o**4/3 - o**3/3 - 11*o**2/2 + 8*o. Give l(-8). 5 Let a(y) = -y**3 + y - 2. Let b be a(-2). Let f be b*1/(1/5). Let v = -13 + f. Let q(j) = -2*j + 7. Calculate q(v). -7 Let f(w) be the second derivative of -w**4/12 + w**3/6 + 29*w**2/2 + 67*w - 1. Calculate f(-5). -1 Let q(h) = h**3 + 5*h**2 - 5*h - 7. Suppose 0 = 5*o - 5*t - 22 - 33, -4*o + 43 = -3*t. Let n be (-6 - 0)/(o/10). Determine q(n). -13 Let y(f) be the second derivative of -f**3/6 + 13*f**2/2 - 366*f. Give y(4). 9 Suppose -4 = 2*l - 0*l, 0 = -2*u - 2*l - 18. Let i(q) = 13*q - 5. Let b(d) = 7*d - 3. Let n(h) = u*b(h) + 4*i(h). Let y be (-8)/3 + (-2)/(-3). What is n(y)? -5 Let w(r) = r**2 - 2*r - 5. Let o be w(4). Let q(c) = c**2 - c - 3. Let b be q(o). Let p(k) = 3 + 0*k**2 + b*k**2 + 2*k - 4*k**2. Determine p(5). -12 Let r(b) be the second derivative of b**4/12 - 4*b**3/3 - b**2 + b + 431. Give r(8). -2 Let w(v) = 3*v**3 + v**2 + 7*v + 6. Let p(d) = 3*d**3 + d**2 + 8*d + 7. Let b(q) = 6*p(q) - 7*w(q). What is b(-1)? 3 Let f(z) = -z - 2. Suppose 0*i = -5*i + 20. Let p be (-1)/(-2) - (-6)/i. Suppose 0 = 5*j + p*y - 0*y + 12, 20 = -3*j + 2*y. What is f(j)? 2 Let i(p) = 4*p**3 - 2*p**2 + 1. Let x(y) = -8*y + 57. Let s be x(7). What is i(s)? 3 Let g(o) = -3*o. Let h(x) = 5*x + 107. Let v be h(-21). Let r = 40 + -22. Suppose d + 4*y + r = -d, 0 = v*d + y + 3. What is g(d)? -3 Let b(x) = x - 18. Let l be b(8). Let s be (12/l)/(-3)*5. Let u(t) = 0*t - 2 - t**s + 3*t**2 - 2*t + 0*t. Calculate u(3). 10 Let u(s) = -3 + 46*s - 20*s - 13*s - 14*s. Let h = -5 - -1. Give u(h). 1 Suppose 2*m - 13 = -v, -5*m + 5*v + 6 = -19. Let x be (-38)/57*m/(-4). Let a(s) = -6*s. Determine a(x). -6 Let i(d) be the first derivative of -d**3/3 - d**2 + 5*d - 383. Determine i(4). -19 Suppose 4*b = 2*j + 6*b + 4, 0 = 5*j - 5*b - 40. Let p(q) = 24*q - 49*q + 3 + 25*q + 2*q. Calculate p(j). 9 Let k(d) = 53*d - 52*d - 3 + 3 + 7. Give k(6). 13 Let l(d) = d**2 - 6*d + 2. Suppose s = -2*j, -s - 12 = 2*s. Let g = -12 + j. Let k be g/3*24/(-16). What is l(k)? -3 Let q(c) be the second derivative of 1/6*c**3 - 1/2*c**2 + 0 + 14*c. Calculate q(7). 6 Let t(w) = -w**3 - 8*w**2 - w + 2. Let u be t(-8). Let s(m) = u*m + 3*m - 12*m. Calculate s(4). 4 Let z(g) = 7*g**2 - 1. Let f(j) = -15*j**2 + 11*j + 7. Let p(a) = -f(a) - 2*z(a). What is p(11)? -5 Let t(o) = -21*o**3 - 2*o + 16*o**2 + o - 17*o**2. Suppose -5*x = -2*f + 7, 1 + 4 = -2*x + 3*f. What is t(x)? 21 Suppose -2*d - 4*b + 12 = 0, -11 = -2*d - 3*b - 1. Let p(i) = -7*i + 10*i + d*i - 7*i**2 + 3*i - i**3 - 5. What is p(-8)? -5 Suppose -10 - 2 = -4*z. Let n(l) = 11 + 6*l**2 - 12*l**2 + 7*l**2 + l**z. Let o(s) = -s**2 - 2*s + 3. Let y be o(-3). Determine n(y). 11 Let w(z) = -13*z + 10. Let s(o) = 4*o - 2. Let n(c) = 3*s(c) + w(c). Calculate n(-11). 15 Let w(d) = d - 4. Let g(z) = 2*z**3 + 6*z**2 + 2*z + 1. Let p be g(-3). What is w(p)? -9 Let v(b) = -b**3 + 5*b**2 + 5*b + 8. Let l be v(6). Suppose y - 4*z = -4, -3*y + l*z + 10 + 18 = 0. Let i = -13 + y. Let r(f) = -f - 2. Give r(i). -1 Let j(d) be the third derivative of -d**5/120 + 3*d**4/8 - 7*d**3/3 + 16*d**2. Let z(q) be the first derivative of j(q). What is z(5)? 4 Let u(s) = -6*s + 4. Let d(i) = -i**3 - 2*i**2 + 12*i + 10. Let y be d(-4). Let m be (y - 95/(-15))/((-1)/(-9)). Determine u(m). -14 Let p(h) = -5*h - 9. Let r(c) = -27*c + 7 - 15 - 38. Let q(u) = 11*p(u) - 2*r(u). Calculate q(0). -7 Let g(j) = -3*j**3 + j**3 + 5*j + 9*j**2 + 3*j**3 - 2 - 3*j**2. Let d(h) = -h**2 - 2*h + 1. Let o be d(-3). Let i be (2 + -3)/(o/(-10)). Give g(i). -2 Let f(v) = 14 - v**3 + 5*v**3 - 3*v**3. Calculate f(0). 14 Let o(i) be the second derivative of i**4/12 - 2*i**3 + 25*i**2/2 + 51*i. Give o(10). 5 Let a be -1 + 8*(-1 + 2). Let t(d) = -3 - 2*d**3 + d**3 + 36*d**2 + d - 11*d**2 - 10*d**2 - 8*d**2. Calculate t(a). 4 Let b(l) be the second derivative of l**3/2 - 27*l**2 + 2*l + 139. What is b(17)? -3
What is 135 (base 10) in base 12? b3 What is -18 (base 14) in base 2? -10110 Convert 14419 (base 10) to base 16. 3853 Convert 1b2 (base 15) to base 6. 1452 Convert -30143 (base 7) to base 6. -53415 10242 (base 7) to base 12 1569 What is 5853 (base 12) in base 13? 4641 67053 (base 9) to base 13 17355 What is 3176 (base 9) in base 16? 921 Convert 50b5 (base 12) to base 10. 8777 What is 1013021 (base 4) in base 8? 10711 Convert 1000021 (base 3) to base 11. 60a What is -14640 (base 7) in base 2? -111111111111 -14399 (base 10) to base 13 -6728 Convert -40254 (base 7) to base 13. -4584 What is 34450 (base 8) in base 3? 202001221 Convert -214 (base 5) to base 4. -323 32300 (base 4) to base 11 789 Convert 101010111 (base 2) to base 16. 157 15435 (base 7) to base 5 114323 What is -91 (base 10) in base 15? -61 Convert 22883 (base 12) to base 2. 1011010001100011 What is 202000110 (base 3) in base 8? 34400 12485 (base 11) to base 16 45d8 1313 (base 7) to base 15 235 Convert 864 (base 13) to base 14. 746 -200001 (base 3) to base 7 -1264 Convert 120114 (base 8) to base 14. 10d52 -3130 (base 8) to base 15 -734 -12100210 (base 3) to base 16 -f45 Convert 3420342 (base 5) to base 3. 10002021222 -11455 (base 7) to base 11 -226a Convert -1622 (base 7) to base 13. -3b3 What is -255341 (base 7) in base 3? -2102011122 What is 2422 (base 7) in base 2? 1110000010 Convert -2211120 (base 3) to base 9. -2746 What is -100011100 (base 2) in base 12? -1b8 Convert 210100010 (base 3) to base 11. 10761 Convert 3459 (base 10) to base 3. 11202010 Convert 724 (base 8) to base 11. 396 What is 1000111 (base 3) in base 13? 451 Convert -4518 (base 11) to base 9. -8138 10300 (base 5) to base 15 31a Convert 1001111000001011 (base 2) to base 10. 40459 Convert -111011011011 (base 2) to base 4. -323123 What is -13202 (base 4) in base 2? -111100010 6a (base 13) to base 12 74 What is -4025 (base 10) in base 8? -7671 What is -412251 (base 6) in base 9? -50154 What is 24a (base 12) in base 7? 1003 -795 (base 10) to base 6 -3403 What is -13711 (base 9) in base 10? -9325 -100 (base 5) to base 16 -19 What is -12655 (base 9) in base 14? -3191 What is 1100100011 (base 2) in base 4? 30203 -61066 (base 7) to base 12 -8691 Convert 21643 (base 7) to base 16. 155e What is -732 (base 9) in base 3? -211002 What is 21112021 (base 3) in base 6? 41224 Convert -34020 (base 5) to base 9. -3240 What is 879 (base 12) in base 5? 14440 What is -4872 (base 16) in base 10? -18546 211332 (base 4) to base 14 c58 Convert -b4aa (base 14) to base 4. -13212032 1032112 (base 4) to base 10 5014 What is -b (base 15) in base 9? -12 What is 1111020 (base 4) in base 7? 21612 What is -8a8 (base 16) in base 7? -6314 2224 (base 5) to base 10 314 What is -1608 (base 13) in base 12? -1a43 What is -11245 (base 13) in base 7? -156553 Convert 100000110 (base 2) to base 8. 406 Convert -3801 (base 9) to base 11. -2149 What is -6157 (base 8) in base 5? -100213 Convert -22922 (base 11) to base 6. -413013 -1680 (base 13) to base 14 -12cb 3608 (base 10) to base 15 1108 What is 12a8 (base 14) in base 10? 3284 -39d (base 14) to base 8 -1327 What is 3102 (base 4) in base 13? 132 What is -2409 (base 11) in base 16? -c53 What is -2021211022 (base 3) in base 4? -23000033 5560 (base 7) to base 6 13134 Convert 111111011111 (base 2) to base 11. 3064 100000011010111 (base 2) to base 11 11520 What is 321033 (base 5) in base 16? 2a10 Convert 5327 (base 9) to base 12. 2321 232 (base 6) to base 15 62 Convert -10424 (base 6) to base 7. -4150 -10100010000111 (base 2) to base 8 -24207 Convert -735 (base 8) to base 7. -1251 What is -5508 (base 9) in base 5? -112213 Convert 5634 (base 7) to base 11. 158a What is 1410 (base 6) in base 7? 1032 -520 (base 9) to base 8 -647 Convert -6250 (base 12) to base 3. -112200220 Convert -28c (base 15) to base 5. -4312 40cc (base 15) to base 12 7b10 2c7 (base 13) to base 2 111110101 -18 (base 14) to base 7 -31 90a5 (base 11) to base 10 12094 19c1 (base 15) to base 13 2704 -35134 (base 8) to base 16 -3a5c -3544 (base 8) to base 2 -11101100100 -221121 (base 4) to base 16 -a59 -34222 (base 5) to base 4 -212011 What is -1742 (base 14) in base 13? -1b91 What is -93 (base 13) in base 2? -1111000 Convert 1843 (base 10) to base 13. aba What is 21124 (base 5) in base 8? 2606 What is -d4 (base 14) in base 6? -510 11111010111100 (base 2) to base 13 7405 What is 5409 (base 14) in base 9? 21815 Convert 785 (base 11) to base 15. 42a Convert 33ba (base 13) to base 9. 10846 What is -100000122 (base 3) in base 6? -50242 Convert 114203 (base 5) to base 13. 1c60 Convert -65 (base 12) to base 7. -140 What is 291a (base 11) in base 5? 110042 What is b215 (base 14) in base 3? 1112222011 Convert 2aa5 (base 12) to base 14. 1b89 -7152 (base 13) to base 4 -3303333 -5456 (base 9) to base 5 -112040 Convert -1122120020 (base 3) to base 14. -bba7 What is -7d7 (base 15) in base 5? -24102 Convert -10000010 (base 2) to base 7. -244 Convert -1964 (base 14) to base 7. -16254 What is -49 (base 14) in base 4? -1001 Convert -110001000010 (base 2) to base 16. -c42 -15432 (base 6) to base 4 -213230 What is 101011010110 (base 2) in base 14? 1022 Convert -26999 (base 10) to base 5. -1330444 -1446 (base 12) to base 8 -4466 -11181 (base 9) to base 4 -1310110 Convert 58 (base 9) to base 8. 65 Convert -34214 (base 5) to base 2. -100110000010 What is 1020002 (base 3) in base 13? 539 Convert 1126 (base 7) to base 3. 120021 What is -10202 (base 3) in base 2? -1100101 -1331 (base 8) to base 2 -1011011001 Convert 110010011011 (base 2) to base 6. 22535 1214d (base 14) to base 5 2403134 2044 (base 6) to base 8 714 -1242 (base 12) to base 4 -200102 -623 (base 10) to base 7 -1550 Convert 320415 (base 7) to base 5. 3233211 What is -1a20 (base 12) in base 2? -110001111000 What is -92297 (base 10) in base 8? -264211 -10351 (base 7) to base 5 -40314 Convert -5046 (base 9) to base 14. -14b5 Convert 101000011010 (base 2) to base 11. 1a41 911 (base 13) to base 12 a7b 1658 (base 9) to base 15 598 Convert -10231 (base 7) to base 10. -2521 What is 214 (base 13) in base 5? 2410 Convert -236 (base 12) to base 2. -101001010 What is 1318a (base 12) in base 16? 663a Convert 36a (base 11) to base 14. 235 What is 12210111 (base 3) in base 8? 10201 -1a3e (base 15) to base 3 -21210112 What is 3b1 (base 14) in base 12? 51b Convert 15a (base 14) to base 3. 101020 b07 (base 12) to base 11 1217 What is -c03 (base 15) in base 5? -41303 What is -21100022 (base 3) in base 12? -3122 1000010 (base 3) to base 5 10412 Convert -558 (base 13) to base 6. -4130 403140 (base 5) to base 7 52445 Convert 305 (base 15) to base 10. 680 What is -548a (base 11) in base 13? -33a9 What is 4192 (base 15) in base 8? 33046 Convert 31322 (base 5) to base 12. 125b What is -42303 (base 5) in base 3? -10212202 What is -1cc (base 16) in base 7? -1225 What is 2189 (base 10) in base 4? 202031 What is 64a (base 14) in base 4? 103122 Convert -a53 (base 16) to base 7. -10464 What is -222230 (base 4) in base 5? -41412 What is 36641 (base 9) in base 15? 743a Convert 202021110 (base 3) to base 13. 6960 What is 1215 (base 8) in base 4? 22031 -21221020 (base 3) to base 13 -282c Convert -3b1 (base 16) to base 5. -12240 Convert -2434 (base 5) to base 7. -1035 135 (base 8) to base 16 5d What is 33784 (base 10) in base 9? 51307 What is -30222101 (base 4) in base 9? -78118 Convert a79 (base 12) to base 15. 6c3 Convert -2028 (base 11) to base 7. -10564 -b05 (base 13) to base 16 -748 What is 110011101100000 (base 2) in base 15? 7c94 Convert -11bc1 (base 13) to base 5. -2022044 Convert 264 (base 8) to base 6. 500 -37b (base 13) to base 5 -4414 Convert -c25 (base 14) to base 2. -100101010001 -4143 (base 5) to base 3 -202022 -a54 (base 13) to base 10 -1759 1321 (base 4) to base 12 a1 Convert -311 (base 8) to base 16. -c9 What is -10021212 (base 3) in base 9? -3255 What is 522 (base 8) in base 3? 110112 -19677 (base 12) to base 15 -b07d What is -1224 (base 6) in base 5? -2204 Convert 202 (base 11) to base 13. 15a Convert -232321 (base 5) to base 6. -103101 15044 (base 8) to base 12 3a58 What is -624 (base 7) in base 16? -138 What is a09 (base 14) in base 5? 30334 Convert 22b8 (base 15) to base 5. 213443 Convert 3540 (base 7) to base 6. 10010 Convert 1101000001101 (base 2) to base 15. 1e99 What is -1231103 (base 4) in base 3? -100121002 -267 (base 10) to base 14 -151 -689a (base 13) to base 14 -54b3 Convert 45a (base 14) to base 4. 31200 Convert -100023211 (base 4) to base 13. -24223 Convert -120033 (base 4) to base 11. -1190 What is -121020210 (base 3) in base 15? -379c -20201 (base 3) to base 8 -265 962 (base 10) to base 2 1111000010 1100010011010111 (base 2) to base 16 c4d7
Calculate the highest common divisor of 104 and 741. 13 Calculate the highest common factor of 240 and 2040. 120 What is the highest common divisor of 2736 and 432? 144 Calculate the greatest common factor of 975 and 260. 65 Calculate the highest common factor of 31 and 11129. 31 What is the highest common divisor of 52 and 1196? 52 Calculate the greatest common divisor of 414 and 115. 23 What is the highest common divisor of 12096 and 189? 189 What is the greatest common divisor of 5614 and 14? 14 What is the highest common divisor of 72 and 153? 9 What is the greatest common divisor of 357 and 51? 51 Calculate the highest common divisor of 1496 and 616. 88 What is the greatest common divisor of 60 and 10? 10 What is the greatest common divisor of 1751 and 34? 17 Calculate the highest common factor of 10560 and 33. 33 Calculate the highest common divisor of 5 and 395. 5 Calculate the highest common divisor of 3 and 177. 3 What is the highest common factor of 12 and 21? 3 What is the greatest common factor of 48 and 936? 24 Calculate the highest common divisor of 58 and 176. 2 Calculate the highest common factor of 132 and 204. 12 Calculate the highest common factor of 10 and 25. 5 What is the greatest common divisor of 1652 and 56? 28 Calculate the greatest common factor of 2747 and 134. 67 What is the greatest common factor of 45 and 29? 1 Calculate the highest common factor of 48 and 944. 16 What is the greatest common divisor of 440 and 160? 40 Calculate the highest common divisor of 9 and 4. 1 Calculate the greatest common factor of 399 and 3325. 133 Calculate the highest common divisor of 25 and 3300. 25 Calculate the greatest common divisor of 136 and 16. 8 What is the highest common divisor of 855 and 225? 45 What is the highest common divisor of 1144 and 2431? 143 Calculate the highest common factor of 48 and 6000. 48 What is the greatest common factor of 81 and 1053? 81 Calculate the greatest common divisor of 29 and 11. 1 What is the greatest common divisor of 25 and 625? 25 Calculate the highest common divisor of 224 and 560. 112 What is the highest common divisor of 1274 and 117? 13 What is the highest common factor of 12 and 76? 4 What is the highest common divisor of 245 and 14? 7 Calculate the highest common divisor of 88973 and 193. 193 Calculate the greatest common divisor of 33 and 8184. 33 What is the greatest common factor of 15 and 435? 15 What is the highest common divisor of 123 and 14883? 123 What is the greatest common factor of 51 and 323? 17 What is the greatest common factor of 1562 and 66? 22 Calculate the greatest common divisor of 443 and 1. 1 Calculate the highest common factor of 476 and 4879. 119 What is the greatest common factor of 286 and 65? 13 Calculate the highest common divisor of 7 and 1505. 7 What is the highest common divisor of 2529 and 5339? 281 Calculate the greatest common factor of 31 and 155. 31 Calculate the greatest common factor of 17175 and 100. 25 Calculate the highest common factor of 13 and 3133. 13 What is the greatest common factor of 252 and 9? 9 Calculate the highest common factor of 6108 and 36. 12 What is the highest common factor of 8050 and 50? 50 What is the highest common factor of 2 and 512? 2 Calculate the highest common factor of 168 and 924. 84 What is the highest common factor of 32 and 8240? 16 What is the greatest common divisor of 2745 and 45? 45 Calculate the highest common factor of 737 and 1273. 67 What is the highest common factor of 403 and 13? 13 What is the greatest common factor of 1155 and 525? 105 Calculate the greatest common divisor of 12 and 42684. 12 Calculate the greatest common divisor of 262 and 4. 2 Calculate the greatest common divisor of 50 and 3025. 25 What is the greatest common divisor of 1500 and 1410? 30 Calculate the highest common divisor of 30 and 537. 3 Calculate the highest common divisor of 4526 and 1898. 146 What is the greatest common factor of 246 and 6765? 123 What is the greatest common divisor of 57 and 33? 3 What is the greatest common factor of 1269 and 141? 141 Calculate the highest common divisor of 18 and 320. 2 What is the greatest common divisor of 520 and 10? 10 Calculate the greatest common factor of 506 and 22. 22 What is the greatest common factor of 918 and 68? 34 What is the highest common divisor of 15 and 1220? 5 Calculate the highest common divisor of 1000 and 40. 40 What is the highest common divisor of 3653 and 13? 13 What is the greatest common divisor of 496 and 48? 16 What is the greatest common divisor of 414 and 46? 46 What is the greatest common factor of 58 and 5655? 29 Calculate the greatest common factor of 280 and 1240. 40 Calculate the greatest common factor of 430 and 130. 10 Calculate the highest common factor of 5160 and 792. 24 What is the highest common divisor of 462 and 5412? 66 What is the greatest common divisor of 12 and 18? 6 What is the greatest common divisor of 305 and 23973? 61 What is the greatest common divisor of 165 and 105? 15 What is the highest common factor of 3 and 4? 1 Calculate the greatest common factor of 896 and 14. 14 What is the greatest common factor of 39 and 78? 39 What is the greatest common factor of 188 and 3149? 47 Calculate the highest common factor of 70 and 3670. 10 What is the highest common divisor of 819 and 1755? 117 Calculate the highest common factor of 21 and 74. 1 Calculate the highest common divisor of 721 and 412. 103 What is the highest common factor of 3 and 1137? 3 What is the greatest common divisor of 63 and 108? 9 Calculate the greatest common factor of 11495 and 121. 121 What is the highest common factor of 672 and 147? 21 Calculate the highest common factor of 10 and 135. 5 Calculate the highest common divisor of 160 and 112. 16 Calculate the highest common divisor of 86 and 6106. 86 Calculate the highest common divisor of 396 and 1452. 132 What is the highest common factor of 111 and 3? 3 Calculate the greatest common divisor of 705 and 1974. 141 Calculate the highest common factor of 278 and 695. 139 Calculate the greatest common divisor of 639 and 9. 9 Calculate the greatest common factor of 756 and 162. 54 What is the greatest common factor of 244 and 427? 61 Calculate the highest common factor of 184 and 230. 46 Calculate the highest common factor of 104 and 56. 8 What is the highest common divisor of 7685 and 145? 145 Calculate the highest common factor of 242 and 22. 22 Calculate the highest common divisor of 36068 and 284. 284 What is the greatest common divisor of 48 and 30? 6 What is the greatest common factor of 111 and 1036? 37 Calculate the highest common factor of 152 and 5206. 38 What is the greatest common divisor of 9 and 93? 3 Calculate the highest common factor of 24 and 34356. 12 What is the greatest common factor of 3150 and 2850? 150 What is the greatest common factor of 24 and 1902? 6 Calculate the highest common factor of 897 and 46. 23 Calculate the highest common divisor of 524 and 393. 131 Calculate the greatest common factor of 10188 and 18. 18 Calculate the greatest common factor of 108 and 1134. 54 What is the highest common factor of 350 and 28? 14 What is the greatest common factor of 72 and 120? 24 What is the highest common divisor of 144 and 912? 48 Calculate the highest common factor of 77 and 22. 11 Calculate the highest common factor of 2100 and 400. 100 What is the greatest common divisor of 592 and 74? 74 Calculate the highest common divisor of 5472 and 152. 152 What is the greatest common factor of 2760 and 105? 15 Calculate the greatest common factor of 1739 and 141. 47 Calculate the highest common factor of 22 and 297. 11 Calculate the highest common factor of 464 and 144. 16 What is the highest common divisor of 211 and 1688? 211 What is the greatest common factor of 26 and 2? 2 Calculate the highest common factor of 46055 and 305. 305 What is the greatest common factor of 30 and 390? 30 What is the greatest common divisor of 161 and 21? 7 Calculate the highest common factor of 1177 and 77. 11 What is the highest common factor of 108 and 60? 12 What is the highest common factor of 16 and 996? 4 Calculate the greatest common factor of 440 and 110. 110 Calculate the highest common factor of 66 and 9636. 66 Calculate the highest common factor of 154 and 70. 14 What is the highest common divisor of 116 and 464? 116 What is the highest common divisor of 99 and 1122? 33 What is the greatest common factor of 620 and 5? 5 What is the highest common divisor of 138 and 506? 46 What is the greatest common factor of 561 and 102? 51
Suppose -2*s + 464 = 4*a - 6*s, 0 = -3*a - 2*s + 328. What is the remainder when a is divided by 38? 36 Calculate the remainder when 103 is divided by (-712)/(-28) + (-12)/(-21). 25 Calculate the remainder when 9 is divided by (-1)/3 - (-100)/30. 0 What is the remainder when 24 is divided by -3*(4 + 0 - 9)? 9 Let v = -20 - -24. What is the remainder when 14 is divided by v? 2 Suppose 3*t + 2*t - 36 = -k, -3*k = -3*t - 180. Calculate the remainder when k is divided by 19. 18 Let b = -92 - -145. Suppose -4*j = -2*p + 136, -3 = 3*p + 9. Let a = -22 - j. Calculate the remainder when b is divided by a. 11 Let n = -11 - -6. Let j = 7 + n. Suppose 4*y + y - 15 = 0. Calculate the remainder when y is divided by j. 1 Calculate the remainder when 360/14 - (-4)/14 is divided by 1/(-4) + 74/8. 8 Let v(r) = 3*r + 6. Let x = 4 - 8. Let l be (-26)/x + (-3)/6. What is the remainder when v(l) is divided by 13? 11 Let k = 213 + -127. What is the remainder when k is divided by 22? 20 What is the remainder when (-47)/(-5) - (-2)/(-5) is divided by 6? 3 Let q(p) = 0 + 2 - p**3 - 5*p + 9*p**2 - 2*p. What is the remainder when q(8) is divided by (0 - -2) + (-1 - -3)? 2 Suppose 0 = -3*z - 3*g, -3*z + 0*g = 5*g + 10. Suppose 2*a = -z*n + 69, 5*n = n - 3*a + 58. What is the remainder when n is divided by 8? 5 Suppose 2*t = 0, 0 = 2*j + 3*j + t + 60. Let r = -6 - j. Suppose 0 = -x + 2*w + r + 12, -4*x + 2*w + 102 = 0. Calculate the remainder when x is divided by 15. 13 Let g(u) = -3*u + 35. What is the remainder when 5 is divided by g(11)? 1 Let u be 1 + -2 - (-2 + 3). What is the remainder when -1*(-4 + u + 4) is divided by (-3)/2*(-8)/12? 0 Let r(o) = -o**3 - 19*o**2 + 15*o - 17. Calculate the remainder when r(-20) is divided by 21. 20 What is the remainder when -1 - (-402)/4*2 is divided by 29? 26 Let p(d) = d**3 + 8*d**2 + 3. Let n(h) = -3*h - 1. Let f be n(2). Let q be p(f). Suppose 2*u = q + 42. Calculate the remainder when u is divided by 16. 15 Suppose 2*f + 6 = 4*s - 8, -5*f = 5*s - 25. Let z(y) = -y**2 + 1. Let l be z(s). Calculate the remainder when l*((-6)/(-3))/(-1) is divided by 16. 14 Suppose 0 = t - 0*t + v - 27, -5*v - 40 = -2*t. Calculate the remainder when t is divided by (1/(0 - -2))/(3/78). 12 Let q(j) = -j**3 - 4*j**2 - 5*j + 1. Let g(a) = -a**3 - 5*a**2 - 3*a. Let i be g(-4). Calculate the remainder when q(i) is divided by (-8)/44 - 123/(-11). 10 Let h = 14 - 11. Let y(q) = 3*q**2 + 3*q - 3. Calculate the remainder when y(h) is divided by 12. 9 Suppose -4*o + o + 21 = 0. Calculate the remainder when 25 is divided by 1*o*(12 + -10). 11 Let y = -19 - -13. Let g = 0 - y. What is the remainder when g is divided by 4? 2 Suppose 0 = 1752*n - 1754*n + 30. Calculate the remainder when 408/7 + (-2)/7 is divided by n. 13 Suppose -u - 4*u = -370. What is the remainder when u is divided by 15? 14 Suppose 3*l - 2*g + 9 = -2, 5*g = 2*l. Let j(r) = -r**3 - 4*r**2 + 2*r - 3. What is the remainder when j(l) is divided by 7? 5 Let b = 80 - 36. Suppose 0*p + b = 2*p. What is the remainder when p is divided by 4? 2 Suppose 2*x + 3*x = 70. Let c(u) = u**3 - 5*u**2 + 8*u - 11. Calculate the remainder when x is divided by c(4). 4 Let a = 98 - 66. Let r(v) = -v**3 + 6*v**2 - v - 3. Suppose 12 = -5*y + 37. What is the remainder when a is divided by r(y)? 15 Let t(p) = p - 2. Let c be t(0). Let b = c - -10. What is the remainder when (4/10)/((-1)/(-55)) is divided by b? 6 Suppose b - 12 - 42 = 0. Let g(f) = -f**2 - 14*f - 9. Let p be g(-13). Suppose -t + 19 - 3 = z, -p*t - 2*z = -b. What is the remainder when t is divided by 6? 5 Suppose 0 = -3*y + 41 + 7. What is the remainder when 47 is divided by y? 15 What is the remainder when (-5 + 20/25)*-5 is divided by 2? 1 Let d(h) = 32*h**2 - h - 1. Let a be 2*2/8*-2. Suppose 4*o = 2*g - 34, -5*o = 2*g - 29 - 5. Calculate the remainder when d(a) is divided by g. 15 Let c be -14*(-3)/6 - 1. Suppose -2*l = -c*l. Suppose l = 3*u - 0*u - 12. Calculate the remainder when u is divided by 2. 0 Let a = -27 + 74. Calculate the remainder when a is divided by 16. 15 Suppose l - 4*m = -0*m - 12, -l = -m. Let d(v) = -v**2 + 11*v - 5. Calculate the remainder when d(l) is divided by 6. 5 What is the remainder when (-2)/7 - (-774)/14 is divided by 4/14 + (-131)/(-7)? 17 Let m = 0 - -5. Let u(p) = p**2 + 42*p - 223. What is the remainder when u(-47) is divided by m? 2 Let n be 5/3*(-2 - -5). Suppose 0 = 2*a + n - 33. What is the remainder when 41 is divided by a? 13 Let j(l) = -5*l - l**2 - l**3 - 4*l**3 + l**2 - 5. Calculate the remainder when j(-2) is divided by (-9)/(-2)*8/3. 9 Let p(l) = l + 4. Suppose 47 = -3*m + 167. Suppose -r = -4*w + 2*w + m, 0 = 2*w + 3*r - 32. Calculate the remainder when w is divided by p(6). 9 Let i(c) = -c + 1. Let a be i(-1). Suppose 4*f - 34 + a = 0. Calculate the remainder when f is divided by 5. 3 Let n = -132 - -169. Let z be (-45)/(-2) + 2/4. Let w = z + -4. What is the remainder when n is divided by w? 18 Suppose 5*b = -3*s + 44, -4*s - 1 = -2*b - 25. Let o = s - 6. Suppose c - 2*x + 43 = o*c, -c + 46 = 3*x. Calculate the remainder when c is divided by 13. 11 Suppose 5*v - 8*v + 33 = 0. Calculate the remainder when 25 is divided by v. 3 Let q = -55 + 3. Calculate the remainder when 2/(-4)*4 - q is divided by 13. 11 Let n = -10 - -13. Suppose 0 = n*k - 0 - 27. What is the remainder when 32 is divided by k? 5 Suppose -4*u - 8 + 80 = 0. What is the remainder when (-1 - -2)/1 - -70 is divided by u? 17 Let p = 37 + -13. Calculate the remainder when p is divided by 9. 6 Suppose 0 = -6*z - 195 + 681. Calculate the remainder when z is divided by 21. 18 Suppose -a - o + 72 = -44, -3*a + 344 = 4*o. Let x = a + -78. Calculate the remainder when x is divided by 11. 9 Let r(x) = -x**3 - x**2 - x + 1. Let g be r(-2). Suppose 2*a + g = n, 0 = a + 2*a + 6. Calculate the remainder when 4 is divided by n. 1 Suppose 0 = h - v - 6, h + 5*v = -2*h + 50. Let i = 15 - h. Suppose 0 = -a - k + 2, a - k = 4. What is the remainder when i is divided by a? 2 Suppose 2*s = -2*u, -5*s + 0*s - 20 = 0. Suppose 0*p - u*p + 32 = 0. What is the remainder when 15 is divided by p? 7 Let j = -6 + 15. Calculate the remainder when (-160)/(-3) - 3/j is divided by 27. 26 Suppose 3 = -2*z - 3. Let g = z + 23. Suppose 0 = -5*r - 3*y + 32, 2*r + y - 27 = -2*r. What is the remainder when g is divided by r? 6 Suppose s - 2*l - 8 = -l, 0 = 2*s - l - 12. Let p = -3 + 9. Suppose 4 = 3*d + m, -p*d + 4*d = -2*m - 8. What is the remainder when s is divided by d? 0 Suppose 2*j - 4*b - 46 = 0, 2*j - 14 = j + 5*b. Suppose w + j = 2*w. Calculate the remainder when w is divided by 8. 5 Let r = -31 + 55. Suppose -5*h - 4*p = -r, -3*h + 16 = -3*p + 5*p. What is the remainder when h is divided by 3? 2 Let k = -28 - -39. Let x = k - 9. Calculate the remainder when x is divided by 2 + (1 + -2 - 0). 0 Calculate the remainder when -5 + -1 + 7 - -156 is divided by 23. 19 Let i be (-603)/6*(4 + -2). What is the remainder when 9/15 - i/15 is divided by 4? 2 Let n(m) = m - 1. Let h be n(3). Let f = h + 1. Suppose -6*o - 10 = -c - f*o, -2*o = 0. What is the remainder when 19 is divided by c? 9 Let h be 55 - ((-9)/3 + 2). Suppose 80 - 300 = -4*s. Calculate the remainder when s is divided by (h/10)/((-8)/(-20)). 13 Let m be (2/4)/(3/18). Suppose -1 - 8 = -m*y. Suppose -2*f = -y*f + 13. What is the remainder when 25 is divided by f? 12 Let a(s) = 2*s**2 - s - 4. Suppose -2*m = -3*n - 2, 0*n = n + 4*m - 18. Calculate the remainder when a(-4) is divided by n/2 + -3 + 13. 10 Let u(o) be the second derivative of o**4/4 - o**2/2 - o. Let t(p) = -p - 8. Let i be t(-6). What is the remainder when 42 is divided by u(i)? 9 Suppose -24 = -8*u + 8. What is the remainder when 15 is divided by u? 3 Suppose -f - 2*i - 53 = -6*f, -40 = -4*f + 4*i. What is the remainder when 63 is divided by f? 8 Let i = -28 + 37. Calculate the remainder when 26 is divided by i. 8 What is the remainder when 24/60 + 2666/10 is divided by 54? 51 Suppose -6*s + 4*w = -3*s + 2, -w + 10 = 4*s. Suppose 4*i - 2*i = 6, -i - 3 = -3*z. Suppose -z*x = x - 6. Calculate the remainder when s is divided by x. 0 Suppose -3*u - u + 100 = 0. Calculate the remainder when 47 is divided by u. 22 Let h(p) = -2*p**2 + 9*p + 1. Calculate the remainder when 19 is divided by h(4). 4 Let j(p) = p - 16. Calculate the remainder when (-43)/(-4) + (-1)/(-4) is divided by j(22). 5 Suppose 0 = 4*x - 4*c + c - 198, -3*x + 5*c = -154. Suppose -3*k - 5*n = -2*n - x, 0 = -5*k - 4*n + 77. What is the remainder when 24 is divided by k? 11
Let y = -0.08 - 0.2. Let u = 79 - 73.72. Let s = u + y. What is the second smallest value in 15, s, -4/3? s Let t = -4432/3 + 1478. Which is the smallest value? (a) t (b) 0.04 (c) -3 c Let n(a) = -a**3 + 24*a**2 + 23*a + 54. Let s be n(25). What is the fourth biggest value in 22, -0.5, 3, s? -0.5 Let v = -51 + 51.5. Which is the fourth biggest value? (a) 0.01 (b) 0.4 (c) 13 (d) v a Let q = 20 + -8. Let r be (-2)/(-10) + q/(-10). Let z be (2*2/(-12))/r. What is the third smallest value in -2, z, -3? z Let n = 0.56 - 0.16. What is the biggest value in 1/3, n, -108? n Let t = -661 - -661.4. Which is the smallest value? (a) -5 (b) -70 (c) t (d) -3 b Let w = 87/5 + -17. Let k = -106 + 106.3. What is the smallest value in k, w, 5? k Let s be ((-6520)/(-15))/(-8) - 4. Let p = s + 58. Which is the smallest value? (a) -2/71 (b) -2/13 (c) p c Let y = -19 + 18.5. Let h = -1.54 + 1.54. Let m = 0 + 2/5. What is the smallest value in m, y, h? y Let l = 29 - 24. Suppose l*p + x = p + 13, 3*p = -5*x + 31. Which is the third biggest value? (a) 0.1 (b) -2/3 (c) p b Suppose 0 = 2*v - 4*m + 10, 5*v - 2*m = v + 4. Suppose -4*k + 3 = -v*k. Let j = 0.209 - 0.609. What is the second smallest value in -6, k, j? j Let i = -131 - -177. Let u = i + -45.9. Which is the biggest value? (a) -2 (b) 2/5 (c) -3 (d) u b Let t be (-11)/(33/18) + (-800)/(-140). What is the fourth smallest value in 4, -6, t, -2/21? 4 Let p = -48 - -489/10. What is the biggest value in -1/5, 0.08, p? p Let g = -434 + 434.0012. What is the second smallest value in 0.4, -4, g? g Let q = -483 - -465. Let m = 19.5 + -20. What is the smallest value in q, 3, m? q Let p = 6.72 - -28.18. Let w = p + -35. Let m = -2.8 + 3. What is the second biggest value in -0.2, w, m? w Let r = -4.098 + 0.098. Which is the smallest value? (a) -3 (b) 3 (c) -0.1 (d) r d Let q = -1 + -2. Let x = 11.17 - 11.17. Which is the biggest value? (a) -0.1 (b) q (c) x c Let u(s) = s**3 + 28*s**2 + 28*s + 27. Let c be u(-27). What is the third smallest value in 96, c, 0.4, -0.1? 0.4 Let j = 1141 + -3422/3. Which is the third biggest value? (a) j (b) 44/21 (c) -2/15 (d) -2/11 c Let x = 709 + -707. Let o = 3 + 1. Which is the third biggest value? (a) o (b) -5 (c) 3/5 (d) x c Let n = 4926 + -4890. Suppose -h - 4*h + 4 = 4*t, -4*h - 2 = -2*t. Which is the second biggest value? (a) h (b) 5 (c) n (d) -0.4 b Suppose u = -4*t + 71, 2*t + 3*u - 51 = -t. Suppose -5*v + 3*p - t + 6 = 0, 5*v + 3*p - 12 = 0. Which is the third biggest value? (a) v (b) -13 (c) -3 b Let i = 272 + -272.5. What is the third biggest value in i, 5, -2? -2 Suppose -4*h - 2*n + 116 = h, -4*h + 88 = 4*n. Let w = h + -21. What is the second biggest value in -8, w, -2/9? -2/9 Let j = -231 + 230.8. Which is the third biggest value? (a) -1 (b) -2 (c) j b Let r = -0.45 + 0.52. Let w = 1.7 - -2.3. What is the biggest value in r, w, 0, -2/13? w Let q = 23 - 27. Let h be (q - -3)/(-2 + (-4)/4). Suppose 0 = -0*p + 3*p + 2*m - 2, 4*p - 10 = m. Which is the smallest value? (a) p (b) 0 (c) h b Let g = -41 - -122/3. Let q = -5.06 - -5. Let r = -0.94 + q. Which is the third smallest value? (a) g (b) r (c) -4 a Let h = 0.15 + -0.28. Which is the biggest value? (a) h (b) -2 (c) -4 a Let j = -1.051 + -2.949. What is the third smallest value in j, 1/27, -5? 1/27 Let s = 0.15 + -0.32. Let t = s + 1.07. Let y = t + -1.2. What is the third smallest value in -2, 0, y? 0 Let w = -1 + 0. Let p be (10/6)/(w/3). Let m = -0.5448 - -0.9448. Which is the second biggest value? (a) m (b) -2/7 (c) p b Let g = 0.06 - -4.94. Let a(w) = w**2 + 7*w - 13. Let v be a(-8). What is the biggest value in g, v, -1/5? g Let n = -1.06 + 0.06. Let i be (-3 + 1)*(165/22 + -5). Which is the smallest value? (a) i (b) -0.3 (c) n a Let s(r) = -1231*r + 1. Let x be s(-1). Let d be (-2944)/x*2/8. Let p = -5/11 - d. Which is the biggest value? (a) p (b) -5 (c) -0.4 a Let i be (-1 + (6 - -5))/(-2). Let b be ((-6)/(-20))/((-6)/(-15)). What is the smallest value in i, b, 3/7? i Let a = 3.6 + -1.6. Suppose 7 = 22*p - 29*p. What is the second smallest value in 1, -2/35, a, p? -2/35 Suppose 4*y - 57 = -245. Let z = y + 495. Let x be 2/(-18) - z/(-144). What is the smallest value in 0.2, -0.3, x? -0.3 Let x = -19.7 + 17. Which is the biggest value? (a) x (b) -4 (c) -2/9 c Suppose -5*g - 2 = -4*b, -b - 2*g - 1 = -4*g. Suppose -4*c = 4*d - 9*d - 5, b*d + 3 = 2*c. Let a = 0.19 - 4.19. What is the second smallest value in a, d, 5? d Let k = -277.5 + 278. Let m be 2/4 - (-9)/(-26). Which is the smallest value? (a) 2 (b) 31 (c) m (d) k c Let t = 701 + -706. What is the biggest value in 5, -2, 10/9, t? 5 Let k(r) = 2*r + 6. Let h be k(-4). Let t be -1 + (-6)/(-3) + h. Let g = 9 - 8.6. Which is the second biggest value? (a) -5/3 (b) g (c) t c Let d = -178 - -183. What is the second biggest value in 0.8, 3/5, d? 0.8 Let o = 0.899 - 0.799. Which is the fourth smallest value? (a) o (b) -7 (c) 2/5 (d) 4 d Let w = -0.33 + 0.83. What is the second smallest value in -10, 5, w, 3? w Suppose 9 = -w - 0. Let f = -2 + 1. Which is the third biggest value? (a) w (b) 0.3 (c) f a Let f = 12 + -16. Let s(n) = -6*n - 168. Let d be s(-28). What is the third biggest value in -1/4, -0.05, d, f? -1/4 Let s = -228 + 230. What is the biggest value in s, 1/8, 4, -1.1? 4 Let l be ((-1)/30)/((-5)/60*-3). What is the third biggest value in -4, -2/3, l? -4 Let v be 8/18*9/6. Let g = 7.908 + 0.092. What is the biggest value in v, g, 0.2? g Let x = -0.5 + 0.5. Let g = 4335/11 - 394. Let t = -7.94 + 8. Which is the third smallest value? (a) t (b) g (c) x b Let g be ((-12)/903)/((-6)/7). Let x = 76/645 + g. Which is the smallest value? (a) 2/5 (b) x (c) -2 c Let n = 0.087 - -0.713. Which is the third smallest value? (a) 0.1 (b) 1 (c) n b Let b = -3 + 3.1. Let h be 14/(-4) - (-98 + 95). What is the second biggest value in b, 1/2, h? b Let s be (44/(-24))/((-1)/7). Let i = -152988 + 11932075/78. Let o = i + s. Which is the second biggest value? (a) o (b) -1/5 (c) -2/5 b Let s = 3.41 + -0.21. Which is the third smallest value? (a) s (b) 3/8 (c) -4 a Let q = -430.4 + 430.7. Suppose -2*n + 20 = -4*o + 2*n, o = 5*n - 21. Which is the biggest value? (a) o (b) q (c) 3 (d) -0.5 c Let x = -2/1993 + -5971/7972. Which is the third smallest value? (a) 3 (b) 1 (c) 5 (d) x a Let r = -6.6 - -8. Let u = 0.7 - r. Let t = 0.5 + u. Which is the second biggest value? (a) 2 (b) t (c) 4 a Let o = 19.3 - 20. Let s = o - -2.7. Let w = -0.3 - 0.2. Which is the biggest value? (a) w (b) s (c) 5 c Suppose -6 = y + 3*g, -3*g - 36 = -5*y - 12. Which is the third smallest value? (a) y (b) -0.18 (c) 4 c Let h = 478.7 - 479. What is the fourth biggest value in 4, -2, h, -2/5? -2 Let u = -0.27 - 0.03. Let j = -0.771 + 0.371. Which is the second biggest value? (a) u (b) j (c) 4 a Let q = -1028/3 + 336. Let f = q + 41/6. Let o be (-6)/(-12)*(-4)/(-6). What is the second biggest value in 4/3, o, f? o Let z = 57 + -26. Let h be (-66)/44 - z/(-22). Which is the second smallest value? (a) 0.5 (b) -2/5 (c) h c Let o = 235 + -4229/18. Let n = 0.043 + 38.057. Let j = n + -38. Which is the second smallest value? (a) o (b) j (c) 1 b Let l = 0.859 - 0.659. What is the second biggest value in l, -3, -1, 0.5? l Suppose -3*y + 0*v = -5*v + 16, 2*v - 16 = -2*y. Let p be -4 - (3/y - -1). Let w = 236.3 + -236. Which is the second biggest value? (a) p (b) w (c) -0.1 c Let o = -203/12 + 69/4. Which is the second smallest value? (a) o (b) 0.5 (c) 5 (d) 1/6 a Let t = 39.8 - 40. Let y = -38.21 - -38. Which is the biggest value? (a) t (b) y (c) -4 a Let l be 16/6 + -2 + 230/(-210). Which is the smallest value? (a) l (b) -4 (c) -2/3 b Suppose -4*s + 18 - 2 = 0. Let c = 56.7 + 0.3. Let t = 57 - c. What is the biggest value in -4, t, s? s Let d = 7 - 5. Let a = -7.82 - -7.72. What is the second smallest value in a, 1, d? 1 Let i = -5.6 - -6. Let z = 0.1772 + -0.1772. What is the third biggest value in z, -0.1, i? -0.1 Suppose 0 = -17*a + 20*a - 12. Suppose -4*l - 1 = -5. Suppose 0 = 5*x - k - 8, 3*x + a*k = -10 + l. What is the biggest value in x, -0.1, 3? 3 Let i = -6.3 + 5.9. Which is the second biggest value? (a) -1/5 (b) i (c) -49 b Let q = 2 - -3. Suppose 5*g = -3*g + 8. Let a be g/(-7) + (q - 5). What is the biggest value in a, 2, 3/7? 2 Let t = 0.0115 + -36.3115. Let h = t - -36. Which is the second smallest value? (a) 0.04 (b) h (c) 0 c
What is 449 to the power of 1/3, to the nearest integer? 8 What is the cube root of 1390 to the nearest integer? 11 What is the cube root of 20338 to the nearest integer? 27 What is the square root of 71 to the nearest integer? 8 What is 518 to the power of 1/3, to the nearest integer? 8 What is 1124 to the power of 1/7, to the nearest integer? 3 What is the square root of 667 to the nearest integer? 26 What is 1197 to the power of 1/6, to the nearest integer? 3 What is the square root of 233 to the nearest integer? 15 What is 6129 to the power of 1/2, to the nearest integer? 78 What is 2400 to the power of 1/2, to the nearest integer? 49 What is 3725 to the power of 1/2, to the nearest integer? 61 What is the third root of 1335 to the nearest integer? 11 What is the cube root of 74393 to the nearest integer? 42 What is the seventh root of 376 to the nearest integer? 2 What is the square root of 6086 to the nearest integer? 78 What is the cube root of 530 to the nearest integer? 8 What is the third root of 7205 to the nearest integer? 19 What is 14608 to the power of 1/2, to the nearest integer? 121 What is 8895 to the power of 1/5, to the nearest integer? 6 What is the cube root of 13831 to the nearest integer? 24 What is 44029 to the power of 1/3, to the nearest integer? 35 What is the cube root of 150 to the nearest integer? 5 What is the square root of 726 to the nearest integer? 27 What is 5812 to the power of 1/8, to the nearest integer? 3 What is 11835 to the power of 1/7, to the nearest integer? 4 What is the fourth root of 9686 to the nearest integer? 10 What is 4559 to the power of 1/3, to the nearest integer? 17 What is the square root of 9343 to the nearest integer? 97 What is 3641 to the power of 1/4, to the nearest integer? 8 What is the third root of 55107 to the nearest integer? 38 What is the seventh root of 26938 to the nearest integer? 4 What is the square root of 468 to the nearest integer? 22 What is 19720 to the power of 1/3, to the nearest integer? 27 What is the third root of 405 to the nearest integer? 7 What is the ninth root of 1011 to the nearest integer? 2 What is 2272 to the power of 1/2, to the nearest integer? 48 What is 1732 to the power of 1/3, to the nearest integer? 12 What is 17227 to the power of 1/10, to the nearest integer? 3 What is the seventh root of 972 to the nearest integer? 3 What is 1919 to the power of 1/4, to the nearest integer? 7 What is the eighth root of 26837 to the nearest integer? 4 What is the cube root of 23455 to the nearest integer? 29 What is 28519 to the power of 1/3, to the nearest integer? 31 What is 2864 to the power of 1/5, to the nearest integer? 5 What is 467 to the power of 1/2, to the nearest integer? 22 What is 131433 to the power of 1/8, to the nearest integer? 4 What is 8379 to the power of 1/3, to the nearest integer? 20 What is the eighth root of 403 to the nearest integer? 2 What is 14671 to the power of 1/7, to the nearest integer? 4 What is 1760 to the power of 1/6, to the nearest integer? 3 What is the cube root of 61129 to the nearest integer? 39 What is 2124 to the power of 1/8, to the nearest integer? 3 What is 1085 to the power of 1/5, to the nearest integer? 4 What is the fifth root of 7260 to the nearest integer? 6 What is the third root of 2719 to the nearest integer? 14 What is 79511 to the power of 1/2, to the nearest integer? 282 What is 455 to the power of 1/5, to the nearest integer? 3 What is the tenth root of 1204 to the nearest integer? 2 What is the square root of 3462 to the nearest integer? 59 What is 474 to the power of 1/2, to the nearest integer? 22 What is 90534 to the power of 1/9, to the nearest integer? 4 What is the sixth root of 926 to the nearest integer? 3 What is 1738 to the power of 1/10, to the nearest integer? 2 What is the tenth root of 4176 to the nearest integer? 2 What is the square root of 65540 to the nearest integer? 256 What is the cube root of 714 to the nearest integer? 9 What is 850 to the power of 1/5, to the nearest integer? 4 What is the fourth root of 1671 to the nearest integer? 6 What is the third root of 46164 to the nearest integer? 36 What is the eighth root of 30271 to the nearest integer? 4 What is the cube root of 54090 to the nearest integer? 38 What is the tenth root of 26118 to the nearest integer? 3 What is the square root of 54474 to the nearest integer? 233 What is 36149 to the power of 1/3, to the nearest integer? 33 What is 31769 to the power of 1/2, to the nearest integer? 178 What is 15204 to the power of 1/2, to the nearest integer? 123 What is the square root of 183948 to the nearest integer? 429 What is the cube root of 5546 to the nearest integer? 18 What is the third root of 1109 to the nearest integer? 10 What is the fourth root of 23074 to the nearest integer? 12 What is 3964 to the power of 1/2, to the nearest integer? 63 What is the seventh root of 84470 to the nearest integer? 5 What is the square root of 77920 to the nearest integer? 279 What is 3327 to the power of 1/3, to the nearest integer? 15 What is the fifth root of 2590 to the nearest integer? 5 What is 244 to the power of 1/4, to the nearest integer? 4 What is 1896 to the power of 1/3, to the nearest integer? 12 What is the cube root of 67090 to the nearest integer? 41 What is 85369 to the power of 1/8, to the nearest integer? 4 What is the square root of 1837 to the nearest integer? 43 What is the square root of 75320 to the nearest integer? 274 What is 6252 to the power of 1/4, to the nearest integer? 9 What is 2087 to the power of 1/3, to the nearest integer? 13 What is the tenth root of 157 to the nearest integer? 2 What is the ninth root of 75287 to the nearest integer? 3 What is the square root of 71932 to the nearest integer? 268 What is the square root of 9190 to the nearest integer? 96 What is 4607 to the power of 1/10, to the nearest integer? 2 What is 3047 to the power of 1/7, to the nearest integer? 3 What is the square root of 528 to the nearest integer? 23 What is the third root of 47244 to the nearest integer? 36 What is the ninth root of 74465 to the nearest integer? 3 What is 5423 to the power of 1/3, to the nearest integer? 18 What is 3520 to the power of 1/3, to the nearest integer? 15 What is the square root of 2808 to the nearest integer? 53 What is 2575 to the power of 1/5, to the nearest integer? 5 What is 1570 to the power of 1/3, to the nearest integer? 12 What is the ninth root of 304 to the nearest integer? 2 What is 2757 to the power of 1/3, to the nearest integer? 14 What is 15658 to the power of 1/6, to the nearest integer? 5 What is the ninth root of 5927 to the nearest integer? 3 What is the square root of 1263 to the nearest integer? 36 What is 87477 to the power of 1/3, to the nearest integer? 44 What is 57050 to the power of 1/2, to the nearest integer? 239 What is 88994 to the power of 1/2, to the nearest integer? 298 What is the ninth root of 29105 to the nearest integer? 3 What is the ninth root of 28363 to the nearest integer? 3 What is 15624 to the power of 1/4, to the nearest integer? 11 What is the fourth root of 4158 to the nearest integer? 8 What is 163766 to the power of 1/3, to the nearest integer? 55 What is 49602 to the power of 1/5, to the nearest integer? 9 What is 9629 to the power of 1/2, to the nearest integer? 98 What is the square root of 5211 to the nearest integer? 72 What is the cube root of 1041 to the nearest integer? 10 What is 27909 to the power of 1/3, to the nearest integer? 30 What is 137058 to the power of 1/2, to the nearest integer? 370 What is the tenth root of 54191 to the nearest integer? 3 What is the cube root of 10238 to the nearest integer? 22 What is the square root of 15040 to the nearest integer? 123 What is the tenth root of 101301 to the nearest integer? 3 What is 129 to the power of 1/6, to the nearest integer? 2 What is the tenth root of 867 to the nearest integer? 2 What is 80807 to the power of 1/7, to the nearest integer? 5 What is 405 to the power of 1/2, to the nearest integer? 20 What is the third root of 3996 to the nearest integer? 16 What is the third root of 1604 to the nearest integer? 12 What is the square root of 2457 to the nearest integer? 50 What is the fourth root of 8576 to the nearest integer? 10 What is 38457 to the power of 1/2, to the nearest integer? 196 What is 18394 to the power of 1/9, to the nearest integer? 3 What is 1708 to the power of 1/5, to the nearest integer? 4 What is 6034 to the power of 1/2, to the nearest integer? 78
Let a = 11 + -2. Let u be 0 - 0 - (-27 + 0). Let r = u - 14. Calculate the smallest common multiple of a and r. 117 Let u be (-387)/(-12) - 3/12. Let x = -28 + u. Calculate the least common multiple of 3 and x. 12 Suppose -r = -0*r - 2*t - 1984, -5937 = -3*r + 3*t. Let o be (-2)/4*(-4049)/1. Let w = o - r. Find the common denominator of w and 15/22. 22 Suppose 2*s - 5*o = -4*o + 43, -3*o = 5*s - 91. Calculate the smallest common multiple of s and 100. 100 Let r = -89763/68 - -1320. Let d = r - -3891/340. Calculate the common denominator of 7/20 and d. 20 Let a be (3 - (4 - -1)) + 3097. Let o be (-74181)/(-16)*8/12. Let j = o - a. Calculate the common denominator of 33/4 and j. 8 Suppose 3*g + 5*z - 56 = 5, 4*z - 65 = -3*g. Calculate the least common multiple of 24 and g. 216 Suppose 5*u + 1188 = -u. Find the common denominator of 137/42 and 4840/u*(-1)/8. 126 Suppose 4*w = -5*k + 11 + 11, w - 9 = -3*k. Suppose 0 = w*f - 2*v - 12 - 4, f + v - 12 = 0. Calculate the lowest common multiple of f and 1. 8 Suppose 0*o + 4*o - t - 318 = 0, 5*o = 3*t + 394. Calculate the lowest common multiple of 64 and o. 320 Suppose 6*k + 13 - 31 = 0. Calculate the least common multiple of 15 and k. 15 Suppose 3 = -4*a - 5*t, a + 0*t - 9 = 2*t. What is the common denominator of -25/18 and -1 - a - (-212)/40? 90 What is the common denominator of -51/10 and (-18)/171 + (-2)/(4560/(-12476))? 30 Suppose -90 = -4*o - 6. What is the common denominator of 47/4 and 66/o*(-27)/18? 28 Let p = 12 + 24. Find the common denominator of (8991/(-216))/(33/4) and -1 + 0 + 326/p. 198 Let y be (27*8 + 3)*1. Let b = -531/2 + y. What is the common denominator of b and (-2)/4 - 38/(-24)? 12 Suppose -125*v + 122*v + 18 = 0. Calculate the smallest common multiple of 117 and v. 234 Suppose -4*a + 2 = -2*r, 4*a = -r - 6 + 23. Suppose 20 = 3*u + r. What is the smallest common multiple of u and 5? 5 Let w = -27 - -74. Let q = 55 - w. Calculate the smallest common multiple of q and 14. 56 Let i be -57*(2 + (-14)/6). Suppose 47 - i = 3*k - 4*v, -16 = k + 5*v. Suppose -94 = -k*b - 6. What is the lowest common multiple of b and 4? 44 Let b(m) = m**2 + 4*m - 4. Suppose -260*d - 66 = -282*d. Calculate the lowest common multiple of b(-5) and d. 3 Let h(q) = -13*q + 242. What is the lowest common multiple of 124 and h(18)? 248 Calculate the common denominator of (65/7 + -1)/((-1200)/(-3500)) and -45/506. 1518 Suppose -4*l + 282 = -6. Let k = 75 - l. Let i = -6 + 10. What is the lowest common multiple of k and i? 12 Let t = 72539/27699 - -2/9233. Let i = 10327 - 309661/30. Calculate the common denominator of t and i. 210 Let i(w) = -82*w - 2120. Suppose 4*q + 310 = 3*f, 5*f + q - 385 - 124 = 0. What is the least common multiple of i(-26) and f? 204 Let s = 36 - 30. Suppose -s*j + 60 = 4*j. Let p(x) = x**3 - 5*x**2 + 5*x + 7. Calculate the least common multiple of p(5) and j. 96 Suppose -29*g = -23*g - 66. What is the lowest common multiple of g and 9? 99 Find the common denominator of (-4 - -2)/(69/184) and -77/424. 1272 Let i be (-10)/257*((-12)/(-5) + -4). Let h be (-1)/(-2) + (-49410)/(-7196). Let v = h + i. What is the common denominator of v and 103/10? 70 Let p = 1018/3 + -10283/30. Find the common denominator of p and -63/26. 390 Suppose -273 = 4*t - 17*t. What is the lowest common multiple of 70 and t? 210 Let k be (-69573)/30 + (-2)/(-2). Let u = k - -2324. Let h = 1/816 - -13459/4080. What is the common denominator of h and u? 10 What is the lowest common multiple of 138 and 3/24 - (69/(-24) + -4)? 966 Let p be (-3)/(-15)*299685/8. Let i = 16879 - 9376. Let y = i - p. Find the common denominator of 7/6 and y. 24 Let p = 33/4 + 5/12. Calculate the common denominator of -58/3 and p. 3 What is the lowest common multiple of 66 and 3/((-85)/(-10) + -7)? 66 Let q = -2 + -24. Let k = -26 - q. Suppose -a - 2 + 4 = k. Calculate the smallest common multiple of a and 4. 4 Let c = -5 + 9. Let d(r) = -81*r + 600. What is the least common multiple of d(6) and c? 228 Let w be 1 + (-3121)/215384*73. Let v = 9/152 + w. Let b = v - -60923/5668. What is the common denominator of b and 115/12? 12 Let c = -5579922404744411/12521426 - -445629947. Let r = -105521180708/7456509183 - c. Let x = 6/397 - r. What is the common denominator of x and 83/10? 30 Let s = 9/275 - 943/550. What is the common denominator of (-18)/28*(-9)/(-1) and s? 154 Let p = 1808/7 - 39615/154. Let m = 46313/16 - 2898. What is the common denominator of p and m? 176 Suppose -l - 576 = -7*l. What is the common denominator of (-6 - (-580)/l)*202/(-1) and -73/84? 84 Suppose -3*v + 385 + 14 = 0. Let p = -199 + v. Calculate the common denominator of -65/2 and ((-513)/p)/3 - 0. 22 Let x = 136701/64 - 2136. Calculate the common denominator of x and 29/56. 448 Suppose 0 = -4*i + 5*c + 38, 2*c - 17 = -3*i - 0*i. Suppose 3*t = i - 1. What is the least common multiple of t and 1? 2 What is the common denominator of -125/12 and (-3950)/(-2400) - 4/(-6)? 48 Let r = -10167/11 - -925. Let z = 123268523/110 - 1120648. Let w = z - -224/11. What is the common denominator of w and r? 110 Let i = 148994/3 - 1616971/33. Let s = -667 + i. Calculate the common denominator of s and (-11)/(-2)*(-4)/26. 143 Suppose -2*j + 45 - 5 = 0. Calculate the smallest common multiple of 4 and j. 20 Let j = 1630 - 35853/22. Calculate the common denominator of -47/8 and j. 88 Let r = 33713/119 - 2175/7. Let j be ((-1781)/2)/(68/3). Let v = r - j. What is the common denominator of v and -53/20? 40 Let j = -58478/33 + 3541/2. What is the common denominator of 17/6 and j? 66 Suppose 5*b + 35 = 2*g, 2*g + b - 17 = -0*b. Suppose -3*j - 2 = 5*r - 3*r, 0 = 4*r + 4*j. What is the least common multiple of r and g? 10 Let i(k) = k**2 - 5*k - 5. Let c be i(7). Suppose -2*o + c = -o. Let f = 3 + o. What is the least common multiple of f and 10? 60 Let a = -107 + 163. Let f = -1031 - -8267/8. Calculate the common denominator of ((-11)/(-4))/((-36)/a) and f. 72 What is the common denominator of -31/15 and 142/99 - (-108)/243? 165 What is the common denominator of -44/25 and ((-66)/70)/(14/(-49))? 50 Let j be 2*(-1 + 5 + -2). Suppose -2*n = -d + 24, d - j*n + n = 28. What is the smallest common multiple of 2 and d? 16 Let u = -65 + 46. Let z(j) = j - 12. Let p be z(3). Let w = p - u. What is the least common multiple of w and 11? 110 Let u(s) = -3*s - 6. Let l be u(-3). Let g be l/(-2) - 9325/(-14). Let f = -666 + g. Find the common denominator of f and 83/6. 42 Let d = 315235/24 + -13137. Calculate the common denominator of d and -35/57. 456 Suppose d - 17 = -5*l, 4*d + 0*l - 2*l + 20 = 0. Calculate the common denominator of (-155)/(-30) + 0 + d and 17/10. 30 Suppose 24*g - 16*g - 64 = 0. What is the lowest common multiple of g and 22? 88 Let r(x) = 2*x**3 + 2*x**2 - x - 3. Let u be r(-3). Let c = 94 - u. What is the common denominator of 0 + -1 + c/45 and 20/3? 9 What is the least common multiple of 72 and (-1)/1 + (22 - 18) + 144? 3528 Suppose l = 2*i + 12, l + 2*i = -3*l + 88. Find the common denominator of (-8)/l + 2/30 and 5 - (1 + -3 + 3). 3 Calculate the common denominator of ((-333)/45 - -8) + (-27)/770 and -57/154. 154 Calculate the common denominator of -1/148 and (-8)/(-6) - (-6465)/(-3060). 2516 Let g be (-4 - -1)*-1 - 138. Let v = 95 + g. Calculate the lowest common multiple of 22 and ((-48)/v)/((-3)/(-10)). 44 What is the common denominator of (-12015)/(-4320)*(-2)/(-16) and -21/2? 256 What is the common denominator of (-153)/(-63) - 6/21 and -24/95? 665 Suppose 4*t = -609 + 665. Calculate the lowest common multiple of t and 70. 70 Suppose -17 - 13 = -5*w. Let m(y) = -w - 3*y + 3 + y + y. Calculate the least common multiple of m(-6) and 1. 3 Let x be (-4)/11*(-24051)/(-8). Let h = x - -2193/2. Find the common denominator of h and -49/8. 88 What is the common denominator of 15/(-5 - 14/7) and 73/300? 2100 Let s(l) = 14*l**2 - l + 1. What is the least common multiple of s(2) and 50? 550 Let u = 335 - 330. Calculate the smallest common multiple of 56 and u. 280 Let k(m) = 31*m - 17. Let v be k(7). Let c be (-10)/(-12)*18472/v. Let r = 403/6 - c. Find the common denominator of r and -77/2. 10 Let j(u) = -u**2 + 15*u - 33. Let b be j(12). What is the lowest common multiple of 17 + (1 - (b - 0)) and 6? 30 Suppose 12*o + 277 = 397. What is the lowest common multiple of o and 50? 50 Let y be 5/3*(2 + -5). Calculate the common denominator of ((y/(-100))/(-1))/(3/78) and 43/16. 80
Two letters picked without replacement from lalalplalluapoa. What is prob of picking 1 u and 1 l? 2/35 What is prob of picking 2 b, 1 m, and 1 a when four letters picked without replacement from {a: 1, y: 1, m: 4, b: 4}? 4/35 Calculate prob of picking 1 g and 1 p when two letters picked without replacement from {g: 1, d: 2, b: 2, y: 1, u: 6, p: 3}. 1/35 Three letters picked without replacement from gaklyjya. What is prob of picking 2 y and 1 a? 1/28 Two letters picked without replacement from {p: 4, q: 3, b: 11}. Give prob of picking 1 b and 1 p. 44/153 Calculate prob of picking 1 f and 1 w when two letters picked without replacement from wwaqfwwwqqwaqaaq. 1/20 Three letters picked without replacement from {v: 11, x: 1, p: 6}. What is prob of picking 1 x, 1 p, and 1 v? 11/136 Two letters picked without replacement from {f: 1, d: 1, n: 1, e: 3, k: 1}. What is prob of picking 1 f and 1 k? 1/21 Calculate prob of picking 2 n when two letters picked without replacement from {n: 4, c: 3}. 2/7 Four letters picked without replacement from {z: 2, x: 2, q: 1, y: 1, l: 2}. What is prob of picking 1 q, 1 l, 1 z, and 1 y? 2/35 Calculate prob of picking 1 s and 2 e when three letters picked without replacement from sspseppe. 3/56 Calculate prob of picking 1 w and 2 g when three letters picked without replacement from pkpqwkpkkpkkggkkk. 1/680 What is prob of picking 1 r, 1 a, and 1 c when three letters picked without replacement from sdccdddadrrcd? 3/143 Two letters picked without replacement from {u: 16, m: 4}. What is prob of picking 1 u and 1 m? 32/95 What is prob of picking 1 p, 1 j, and 1 c when three letters picked without replacement from llcpljlcjclcjlllll? 1/68 Two letters picked without replacement from {h: 1, i: 2, d: 1, c: 2, p: 1, a: 2}. Give prob of picking 2 i. 1/36 Two letters picked without replacement from rrrbrbrbbevbxvvveebv. Give prob of picking 2 v. 1/19 What is prob of picking 2 e when two letters picked without replacement from {e: 3, k: 1}? 1/2 Three letters picked without replacement from mjmmcjqkmmmmdmm. Give prob of picking 1 j, 1 d, and 1 k. 2/455 Four letters picked without replacement from eeeddedodoe. What is prob of picking 3 d and 1 e? 2/33 Calculate prob of picking 1 f, 1 l, 1 c, and 1 r when four letters picked without replacement from {l: 1, h: 1, f: 1, c: 1, w: 1, r: 2}. 2/35 Calculate prob of picking 3 y when three letters picked without replacement from {b: 1, x: 9, y: 4, k: 1}. 4/455 What is prob of picking 2 d when two letters picked without replacement from tdad? 1/6 Calculate prob of picking 1 x and 1 a when two letters picked without replacement from iixppiiaqoip. 1/66 Four letters picked without replacement from tccctjcctcjcttttjt. What is prob of picking 2 j, 1 t, and 1 c? 14/255 Calculate prob of picking 1 t, 1 a, and 1 y when three letters picked without replacement from tttaayyyaat. 16/55 Two letters picked without replacement from zvyvvcvccc. What is prob of picking 1 v and 1 z? 4/45 Three letters picked without replacement from nnnnnnnnnnunn. Give prob of picking 1 u and 2 n. 3/13 Three letters picked without replacement from {h: 3, b: 2, y: 1, e: 4}. What is prob of picking 1 h, 1 y, and 1 b? 1/20 Calculate prob of picking 1 y, 2 m, and 1 q when four letters picked without replacement from {y: 8, h: 4, q: 2, m: 5}. 40/969 What is prob of picking 1 f, 1 z, 1 x, and 1 q when four letters picked without replacement from fqffxqzxxqqff? 12/143 Four letters picked without replacement from {y: 5, s: 8}. What is prob of picking 3 y and 1 s? 16/143 Two letters picked without replacement from {j: 1, i: 5, e: 6, t: 6}. What is prob of picking 1 t and 1 i? 10/51 Calculate prob of picking 1 h and 1 e when two letters picked without replacement from kbaabhekj. 1/36 What is prob of picking 1 r and 3 g when four letters picked without replacement from {r: 1, h: 2, g: 4}? 4/35 Four letters picked without replacement from {y: 2, x: 1, f: 4}. What is prob of picking 1 x, 2 y, and 1 f? 4/35 Three letters picked without replacement from wwllwslllswwwwswlwl. Give prob of picking 1 l and 2 s. 7/323 Two letters picked without replacement from {k: 2, x: 5}. Give prob of picking 1 k and 1 x. 10/21 Calculate prob of picking 1 e and 1 v when two letters picked without replacement from {t: 2, k: 1, v: 1, c: 1, e: 1, m: 1}. 1/21 Calculate prob of picking 3 d when three letters picked without replacement from {e: 2, d: 8}. 7/15 Four letters picked without replacement from oooorryjyoooo. What is prob of picking 2 y and 2 r? 1/715 Calculate prob of picking 1 k and 1 r when two letters picked without replacement from prxkv. 1/10 Calculate prob of picking 2 s and 1 w when three letters picked without replacement from wwsssswwwssw. 9/22 What is prob of picking 1 g and 1 n when two letters picked without replacement from nyyyguuyrg? 2/45 What is prob of picking 1 y and 3 k when four letters picked without replacement from {x: 5, y: 1, u: 3, c: 3, e: 3, k: 3}? 1/3060 What is prob of picking 1 x, 1 g, and 1 s when three letters picked without replacement from {z: 1, g: 1, s: 1, r: 1, x: 1}? 1/10 What is prob of picking 2 w when two letters picked without replacement from zwwwwzwwzwwwwwzzwww? 91/171 What is prob of picking 1 u and 1 f when two letters picked without replacement from {f: 3, k: 1, l: 1, u: 5}? 1/3 Calculate prob of picking 2 q when two letters picked without replacement from {f: 5, q: 2}. 1/21 Calculate prob of picking 1 c and 2 d when three letters picked without replacement from ddcdtdddhhdh. 21/220 Calculate prob of picking 1 p, 1 q, 1 e, and 1 t when four letters picked without replacement from {p: 2, t: 5, e: 1, u: 2, q: 2, y: 1}. 4/143 Three letters picked without replacement from cxcxcccccxxec. What is prob of picking 3 c? 28/143 Four letters picked without replacement from {e: 4, f: 5, o: 3, k: 1}. Give prob of picking 2 f and 2 o. 6/143 What is prob of picking 2 d when two letters picked without replacement from ddoooooodddddoddoodd? 11/38 Three letters picked without replacement from {u: 1, x: 5, a: 1, s: 3, m: 3, h: 5}. Give prob of picking 1 m, 1 h, and 1 x. 25/272 What is prob of picking 1 c and 1 s when two letters picked without replacement from {c: 3, p: 5, s: 3}? 9/55 Calculate prob of picking 1 p and 1 d when two letters picked without replacement from pwdzmzdmmmwpd. 1/13 What is prob of picking 2 d when two letters picked without replacement from ddkd? 1/2 What is prob of picking 3 s when three letters picked without replacement from sssssss? 1 Calculate prob of picking 2 h when two letters picked without replacement from hkqghkkk. 1/28 Four letters picked without replacement from nmwnnkwwnmwmonwnmnwk. Give prob of picking 1 m, 2 w, and 1 o. 4/323 Two letters picked without replacement from uuuuuutuuqutsu. What is prob of picking 2 t? 1/91 Calculate prob of picking 1 g and 1 j when two letters picked without replacement from jeaxlxglg. 1/18 Two letters picked without replacement from {m: 2, g: 1, i: 2, c: 1, w: 1, d: 1}. Give prob of picking 1 i and 1 c. 1/14 Four letters picked without replacement from aaaaaxxaax. Give prob of picking 3 x and 1 a. 1/30 What is prob of picking 1 o and 1 g when two letters picked without replacement from uoouooulouguulw? 1/21 Four letters picked without replacement from eefffeff. What is prob of picking 3 e and 1 f? 1/14 Calculate prob of picking 1 u, 2 a, and 1 p when four letters picked without replacement from ppdaauhpaaphpca. 10/273 Two letters picked without replacement from {e: 4, u: 3, y: 2}. What is prob of picking 1 y and 1 u? 1/6 Calculate prob of picking 1 g, 1 r, and 1 z when three letters picked without replacement from sksysgrkzkrzkkrryssr. 1/114 Three letters picked without replacement from twtttwtwtttwtt. Give prob of picking 1 t and 2 w. 15/91 Three letters picked without replacement from ypyvppypvy. What is prob of picking 3 y? 1/30 What is prob of picking 1 z and 1 a when two letters picked without replacement from {p: 1, a: 1, s: 2, z: 1}? 1/10 Two letters picked without replacement from {m: 8, v: 9, x: 2}. What is prob of picking 2 m? 28/171 Calculate prob of picking 2 h and 1 u when three letters picked without replacement from hhhhhhhuhhhhhhhuuuuh. 35/76 Calculate prob of picking 2 z when two letters picked without replacement from nnzzznnznnznznnznnn. 7/57 Two letters picked without replacement from uuquq. Give prob of picking 1 q and 1 u. 3/5
What is fourty-four fifths of a meter in millimeters? 8800 What is 3/10 of a litre in millilitres? 300 How many millilitres are there in seven quarters of a litre? 1750 What is 3.427999 decades in centuries? 0.3427999 Convert 612.9122s to microseconds. 612912200 What is 9929.751mm in nanometers? 9929751000 How many kilograms are there in 83.20597mg? 0.00008320597 How many hours are there in 10/7 of a week? 240 Convert 78.75689nm to centimeters. 0.000007875689 What is 14093.93 micrometers in kilometers? 0.00001409393 What is one ninth of a day in minutes? 160 What is one quarter of a meter in centimeters? 25 How many millilitres are there in three fifths of a litre? 600 How many centimeters are there in 1/5 of a meter? 20 How many micrometers are there in 0.6579188m? 657918.8 How many days are there in 25.3094679ns? 0.00000000000029293365625 How many litres are there in 492942.2ml? 492.9422 Convert 41.17722 seconds to microseconds. 41177220 How many millilitres are there in 3.330211l? 3330.211 How many micrograms are there in 68996.38g? 68996380000 How many months are there in 18/5 of a decade? 432 What is twenty-nine fifths of a micrometer in nanometers? 5800 Convert 19.44755 micrometers to kilometers. 0.00000001944755 How many years are there in 84.054 decades? 840.54 What is three tenths of a litre in millilitres? 300 How many millilitres are there in 0.0602754l? 60.2754 How many micrograms are there in 1/10 of a milligram? 100 How many centimeters are there in 1/20 of a meter? 5 Convert 589795.8l to millilitres. 589795800 Convert 61.98039 weeks to milliseconds. 37485739872 What is 99.4462ug in kilograms? 0.0000000994462 How many months are there in 693770.2 decades? 83252424 How many grams are there in 17/2 of a kilogram? 8500 What is 9509.007 centuries in years? 950900.7 Convert 356028.5g to nanograms. 356028500000000 What is 87/4 of a day in hours? 522 What is 2.80285 nanoseconds in milliseconds? 0.00000280285 What is three fifths of a micrometer in nanometers? 600 Convert 20.04761 decades to millennia. 0.2004761 What is 11/2 of a century in decades? 55 What is twenty-one fifths of a millennium in years? 4200 How many months are there in 45/2 of a year? 270 What is 9.65166 nanograms in kilograms? 0.00000000000965166 Convert 92127.58 kilograms to tonnes. 92.12758 What is 3/25 of a gram in milligrams? 120 What is fifteen quarters of a meter in millimeters? 3750 What is 27/4 of a gram in milligrams? 6750 What is 3/10 of a decade in months? 36 What is 193.804mm in meters? 0.193804 How many milligrams are there in 0.6335112 tonnes? 633511200 How many millilitres are there in 1/20 of a litre? 50 How many kilograms are there in 321616.2t? 321616200 What is twenty-seven fifths of a centimeter in millimeters? 54 What is 28737.78 hours in days? 1197.4075 What is 29/5 of a centimeter in micrometers? 58000 What is one fifth of a decade in years? 2 What is 4/15 of a day in seconds? 23040 How many months are there in 45/4 of a decade? 1350 How many millilitres are there in twenty-one quarters of a litre? 5250 What is 1/10 of a litre in millilitres? 100 How many millilitres are there in 35.92386 litres? 35923.86 What is 7/2 of a tonne in kilograms? 3500 How many micrograms are there in 1.856546 grams? 1856546 What is 3/5 of a tonne in kilograms? 600 What is 37/5 of a centimeter in micrometers? 74000 Convert 186.8841nm to millimeters. 0.0001868841 What is three eighths of a day in seconds? 32400 Convert 13.2296 nanograms to milligrams. 0.0000132296 What is 1640.72 millennia in months? 19688640 What is 9073.855 days in weeks? 1296.265 What is thirteen fifths of a kilogram in grams? 2600 What is 589538.9 decades in years? 5895389 What is 7/16 of a century in months? 525 What is seventeen halves of a century in decades? 85 What is 29/5 of a litre in millilitres? 5800 What is seventy-five halves of a millennium in decades? 3750 How many millilitres are there in 34/5 of a litre? 6800 What is one fifth of a litre in millilitres? 200 How many centuries are there in 174626.8 decades? 17462.68 What is 7/4 of a hour in minutes? 105 What is 21371.3 centuries in months? 25645560 How many seconds are there in 8/3 of a minute? 160 What is 55708.76 millilitres in litres? 55.70876 What is 3/25 of a litre in millilitres? 120 What is 1/5 of a litre in millilitres? 200 How many nanograms are there in 53/4 of a microgram? 13250 How many millilitres are there in 44/5 of a litre? 8800 How many meters are there in 0.2942544mm? 0.0002942544 What is one fifth of a litre in millilitres? 200 How many hours are there in 59157.62 days? 1419782.88 What is 6/5 of a litre in millilitres? 1200 What is sixty-five thirds of a day in minutes? 31200 How many weeks are there in 471417.03 nanoseconds? 0.000000000779459375 How many micrograms are there in nine tenths of a milligram? 900 What is 1/4 of a gram in milligrams? 250 What is 7.8593418 milliseconds in hours? 0.0000021831505 What is three fifths of a litre in millilitres? 600 How many nanometers are there in 3/50 of a micrometer? 60 What is 4106.368 years in decades? 410.6368 How many years are there in 0.4469249 centuries? 44.69249 How many kilograms are there in 6/25 of a tonne? 240 What is 0.7608026 kilometers in nanometers? 760802600000 What is 1.707154m in millimeters? 1707.154 What is 260792.4l in millilitres? 260792400 What is fifty-three fifths of a litre in millilitres? 10600 What is 3/10 of a litre in millilitres? 300 What is fifty-three quarters of a litre in millilitres? 13250 What is 37/5 of a litre in millilitres? 7400 What is seventeen tenths of a gram in milligrams? 1700 How many minutes are there in 45/4 of a day? 16200 How many centimeters are there in 1/16 of a kilometer? 6250 What is 284068.5 meters in centimeters? 28406850 How many years are there in nine tenths of a decade? 9 What is seven eighths of a litre in millilitres? 875 Convert 45.04788km to micrometers. 45047880000 How many months are there in seven quarters of a year? 21 What is 72027.6 decades in centuries? 7202.76 What is 51/5 of a microgram in nanograms? 10200 How many kilograms are there in three tenths of a tonne? 300 How many minutes are there in 19/4 of a day? 6840 How many centuries are there in 71.4707 years? 0.714707 Convert 8563.4532ns to hours. 0.000000002378737 What is 0.4991172 tonnes in nanograms? 499117200000000 What is 11/10 of a hour in seconds? 3960 Convert 78.04339 kilograms to grams. 78043.39 How many millennia are there in 0.1620238 years? 0.0001620238 What is 12.17834um in centimeters? 0.001217834 What is 31/5 of a litre in millilitres? 6200 What is 34/5 of a century in decades? 68 What is 3/32 of a millennium in months? 1125 Convert 51351.17s to microseconds. 51351170000 What is seventeen quarters of a litre in millilitres? 4250 How many litres are there in 7329.2 millilitres? 7.3292 What is eleven sevenths of a week in days? 11 Convert 345205.1 kilometers to micrometers. 345205100000000 How many centuries are there in 68246.36 years? 682.4636 How many nanometers are there in 4006.707km? 4006707000000000 What is three fifths of a litre in millilitres? 600 How many millilitres are there in 61.44201l? 61442.01 How many seconds are there in 1/10 of a day? 8640 Convert 297.73ml to litres. 0.29773 How many millimeters are there in thirteen eighths of a meter? 1625 How many grams are there in five eighths of a kilogram? 625 What is seven quarters of a litre in millilitres? 1750 What is three sixteenths of a kilometer in centimeters? 18750 What is 0.6808074 millimeters in micrometers? 680.8074 What is one twentieth of a litre in millilitres? 50 What is 37/2 of a decade in months? 2220 How many months are there in 5/6 of a year? 10 Convert 518412.5 millilitres to litres. 518.4125 What is three eighths of a litre in millilitres? 375 What is six fifths of a day in minutes? 1728 What is 21/5 of a centimeter in micrometers? 42000 How many millilitres are there in 7/4 of a litre? 1750 How many decades are there in 113.8823 millennia? 11388.23 How many millimeters are there in 49/5 of a meter? 9800 How many millilitres are there in 7/4 of a litre? 1750 What is 5.416355 centuries in decades? 54.16355 What is 228.0226 meters in micrometers? 228022600 What is one quarter of a decade in months? 30 How many nanograms are there in 35.35447 grams? 35354470000 What is 7.76895 centimeters in nanometers? 77689500 What is three fifths of a litre in millilitres? 600 How many millilitres are there in fifteen quarters of a litre? 3750 How many days are there in 217250.64 microseconds? 0.000002514475
Simplify ((p**13/(((p/((p**23*p*p)/p))/p)/p*p))/(p*p/(p*(p/(p/(p*p**(-2/17))))/p*p)*p**(1/4)/p))**(-2/23) assuming p is positive. p**(-2559/782) Simplify ((q**19/q)**(-31)/((q*(q**(-25)*q)/q)/q**(-1/8)))**(5/4) assuming q is positive. q**(-21365/32) Simplify ((d*d*d**(-2)*d)/d**(-3/11))/((d*d**(-1/5))/(d/d**(1/5)))*((d*d**(-4/3)*d)/((d**(-14)/d*d)/d))**(-23) assuming d is positive. d**(-11849/33) Simplify ((((z**(-1))**(-18))**(-15/8))**(5/2))**(3/5) assuming z is positive. z**(-405/8) Simplify ((f**(2/7))**(-4))**39/(f*f/(f/f**(-5)*f)*f**(-1/7)*(f**(-5)/f)/f**(-6)) assuming f is positive. f**(-276/7) Simplify ((z**(-1/6)*z)/z*z*z**(-10)*(z*z*((z*z**8)/z*z)/z)**49)**29 assuming z is positive. z**(83665/6) Simplify ((q*q/q**(-5))/q**(-3/7))**9*(q**(2/11)/(q**(-7/4)/q))**(2/37) assuming q is positive. q**(381855/5698) Simplify (l**(1/3)*l**(-2/13)*l*((l/(l*l*(l/(((l*l*l**(-1/7))/l)/l)*l*l)/l*l))/l)**(-23/3))**42 assuming l is positive. l**(22172/13) Simplify (h/h**(-2/9)*h**(-7)/h*(h**0)**20)/((h/(h**(-7)/h)*h*h)/h*h*h/(h/h**(-4/9)))**(-2/33) assuming h is positive. h**(-1823/297) Simplify ((((i**(-2))**(3/16))**(-33))**(-24))**42 assuming i is positive. i**(-12474) Simplify ((t**(2/5)/t)**7*t/((t*t**(4/3)*t)/t)*t**(-1/5))/((t**(-1)/t)**(-31/5)*(t*t**(1/6)*t)/(t/((t*t**5/t)/t)*t*t)) assuming t is positive. t**(-213/10) Simplify (g**22/g**(2/39))/(g**31/g*g/((g/(g**26*g))/g)) assuming g is positive. g**(-1406/39) Simplify (((h**(1/3)*h)**(2/5)/(h**4*h*h/(h**(-1)/h)))**(7/4))**(11/2) assuming h is positive. h**(-1078/15) Simplify b**2/(b/((b**(-7/5)*b)/b))*(b*b*b**4*b)/(b**(1/7)/b)*(b*b**(-1))/(b**(2/7)*b)*(b*b*b**(-2/5))**13 assuming b is positive. b**(944/35) Simplify (m**(1/2)*m)**0/((m*m**(-3/2)/m)/(m*m**0*m*m))*((m*m*m*m**(-1)*m)**34)**38 assuming m is positive. m**(7761/2) Simplify (y**(2/23))**(4/11)*(y**(-9/5))**(7/2) assuming y is positive. y**(-15859/2530) Simplify ((s**(-1/3)*s)**(-8)/((s/s**(-3))/(s/s**1)))/((s*s*s**(-3/5))/s*s**(1/4)*s*(s*s*s**(-3))/(s/((s*s**(-5))/s*s*s))) assuming s is positive. s**(-359/60) Simplify (((w*w**(-1/14)*w*w)/(w*w**2))/(w**(2/31)/(w*w**(-12))))**(-4/9) assuming w is positive. w**(1074/217) Simplify ((((q**(-1)/q)**(-30))**(-9/2))**(-29))**46 assuming q is positive. q**360180 Simplify ((t**(2/11)/t*t*t)**(-10/9)*(t/(t**1*t*t))**(3/13))**3 assuming t is positive. t**(-2284/429) Simplify (g/(g*g/(g*(g**(-2/13)*g)/g)))/g**(-3)*g**(-1/5)*g/g**(-2/3)*((g/g**(4/7))/(((g*g*g**(3/5))/g)/g))/(g/g**(-8)*g**(-6)) assuming g is positive. g**(1558/1365) Simplify (v**(7/2)/(v/(v**(-9/2)*v)))/((v*v**(2/5))/v)**(2/107)*(v*v**(-6)*v*v**(9/2))**(-45) assuming v is positive. v**(-25153/1070) Simplify (n**(-3)*(n*n**42)/n)/(n/(((n*n/n**(-2/11))/n)/n)*n**(-26)) assuming n is positive. n**(706/11) Simplify (f**4/(f*f**(2/15)*f))/(f**(-1))**(-33)*f/f**(2/3)*(f*f**1)/f*f**(2/9)/f**2 assuming f is positive. f**(-1421/45) Simplify ((m**(2/7))**13/(m**(2/7)*m/(((m*m/m**(-1/4)*m)/m)/m)*m*m*m))/(m**6*m/(m/(m**(-2)*m)))**(-49) assuming m is positive. m**(6879/28) Simplify ((l**(1/7)*l**2)/((l*l**(-6)/l)/(l/l**(-3/8))))/((l**(-6)*l)/(l/l**2))**(1/42) assuming l is positive. l**(1615/168) Simplify (((m**0*m)/m*m)/m*m/((m**(-4)/m)/m)*m)/(m*m**(-1/4)/m)**30*((m*m**(2/9))/m*m)/(m**(-3/4)/m*m)*m**(-6)/((m/(m*m**(1/5)))/m) assuming m is positive. m**(2281/180) Simplify ((((q/(q*(q*q*q**(2/29))/q*q))**(-3/5))**(1/10))**(3/8))**(-1/38) assuming q is positive. q**(-27/22040) Simplify (((p/(p/(p/p**(1/17))))/p**(1/21))/(p**6/(p/(p*p**0))))**(13/2) assuming p is positive. p**(-23699/714) Simplify (w**21/w**(-29))/(w**(14/3)*w**(-34)) assuming w is positive. w**(238/3) Simplify (b**33/b*b*b*b**(1/27)*b*((b/(b**(-4/9)*b))/b)**(-5))**(-24) assuming b is positive. b**(-8168/9) Simplify (((d*(d/d**(-2/23))/d*d)/d)/(d*d*d**(2/7)))**(-2/39)*d**(-2/5)/(d/(d*d**5))*d**(2/25)*d**1 assuming d is positive. d**(901268/156975) Simplify (z**(-3/8)/z**(-2/9))**13*((z**(2/5)/z)/(z**(-3/8)*z))/(z**(-2/3))**(21/8) assuming z is positive. z**(-263/180) Simplify (z**(-1/2))**(7/10)*((z*z**(1/3)/z)/z)**(1/8)*((z*(z**(-2)*z)/z*z)**(-43))**(-4/17) assuming z is positive. z**(-13/30) Simplify ((v/(v/v**30))/v*v)**(-8/7)*v**23/v**(-23/2) assuming v is positive. v**(3/14) Simplify ((b**(-1/2)/b*b**(1/2))/(b**0*b)**(6/17))/((b**(1/2))**(-5/6))**4 assuming b is positive. b**(16/51) Simplify ((o/(o/(o/o**(2/7))))**23*o/o**6*o**(4/5))/(o*o**(-1/4)*o*o*o**3*(o/(o**(4/7)/o))/(o/o**(-4/7))) assuming o is positive. o**(927/140) Simplify ((f/(f/(f/f**(-5/4)))*f**(-6/7))/(f**23/f*f**(-11)))**(-14) assuming f is positive. f**(269/2) Simplify ((i**2/i)**(-25/3)*(i/(i**6/i)*i)/(i*i**(6/11)*i*i))/((i**(2/7)/i)**(-2)*(i/(i/i**1)*i)/(i/((((i*i/i**1)/i*i)/i)/i))) assuming i is positive. i**(-3767/231) Simplify ((k**(-3/7)/k)**(-1/11))**(-3/10)*((k**(-11)/k)/(k**(-1/2)/k))**7 assuming k is positive. k**(-11325/154) Simplify (q*q/(q*q*(q*q**(8/7))/q))/(q/(q*(q/q**(1/43))/q))*q**(9/4)/(q**(-7/5)/q) assuming q is positive. q**(20973/6020) Simplify u**(2/11)/(u**24*u)*(u*u/u**(-9/5))**(-45) assuming u is positive. u**(-2154/11) Simplify ((((q*q*q*q**(-1/7))/(q/q**(-5)))/(q**6/(q**(-2/9)/q)))**(2/37))**(-3/8) assuming q is positive. q**(653/3108) Simplify (z/((z/(z**(-3)/z))/z)*z*z**(-18)*z*(z**(3/5)/z)**(-30))**(-16) assuming z is positive. z**112 Simplify ((m*(m*m**(1/2)/m*m)/m)**5)**(-31/5)/((m/(m**(-1)*m)*m)**(2/117)*m**5/(m*m**(2/3)*m)) assuming m is positive. m**(-11435/234) Simplify ((g*g**16*g*(g**23*g)/g)/((g*g*g*g**(-2/51))/(g*(g/(g**(11/4)*g*g))/g)))**(-1/3) assuming g is positive. g**(-6995/612) Simplify ((s**(-4/5)*s/(s/(s*s**3)*s)*s)/(s/((s/s**2)/s)*s)**(2/5))/((s/(s/(s*s**1/s))*s)**(3/22))**(1/10) assuming s is positive. s**(173/110) Simplify (((g/(g/g**0))/g)**(16/5)*(g**(2/5))**8)/((g*g**0*g)**15)**(-49) assuming g is positive. g**1470 Simplify (((((d**0*d)/d)/d*d)**(-4/17)*(d**(-1))**(2/29))**(2/75))**(-41) assuming d is positive. d**(164/2175) Simplify (((m/(m/(m*(m*m**0/m)/m*m)))/m)**(1/6))**(-2/73)*((m**(3/5)/m)/(m*(m/((m*m**(-5)/m)/m))/m*m))/(((m*m**(-2/3)/m*m)/m)/m)**(-16) assuming m is positive. m**(-526/15) Simplify ((((y**1/y)/y)/y**2)/(y**(-2/5)*y*y*y*y/((y/y**(-3/4)*y)/y)*y*y))/((y**(-3)/y)/(((y/(y/(y/(y*(y**8*y)/y*y*y))))/y)/y))**36 assuming y is positive. y**(-5897/20) Simplify (f/f**1)**(-2/11)*f/(f*(f/(f**(-2/7)*f))/f)*(f**3/f)/f*(f/(f*f**(-2/9))*f**(1/2))**(3/26) assuming f is positive. f**(151/84) Simplify ((w/(w*w**(-2/7)))/w**(-1/9))**37*(((((w**6*w)/w)/w)/w*w*w)/w*(w**(-5/2)/w)/w)/(w**8/((w*w**(-1/5))/w)) assuming w is positive. w**(4399/630) Simplify (y**(2/9)*y/(y**(-2)*y)*y*y**(-1/6)*y*y*(y/((y*(y*y**(-1/11))/y)/y))/y)/((y**(-2)/y*y**(1/3))/(y/(y*y**1))**(-37)) assuming y is positive. y**(8873/198) Simplify (((u**(1/4))**(-28)*(u**1*u)/u**(2/11))**(-2/103))**(5/12) assuming u is positive. u**(95/2266) Simplify ((h*h*h/h**(1/6))**(-2/65)/(h**(-4)*h)**28)**(1/7) assuming h is positive. h**(16363/1365) Simplify ((b*b/(b*b**4*b))**(-5)/(b/(b/b**(-1/11)))**(48/11))**10 assuming b is positive. b**(24680/121) Simplify ((m*m**(1/6)*(m**(4/11)*m)/m*(m**(3/5))**(3/14))**(1/16))**(-28/5) assuming m is positive. m**(-479/825) Simplify ((g**(-4))**(-2/35)/(g*g*g**(-1/7)*g*g)**18)**(2/33) assuming g is positive. g**(-692/165) Simplify ((f*f**(-41)*f*f**20)/((f*f/((f*f**(-8)*f*f)/f))/(f*f/f**(2/23)*f)))**(-30) assuming f is positive. f**(16620/23) Simplify (s/s**(2/3)*s/(s*s**(-1/9)))/((s/((s**(6/19)*s)/s*s))/s**(-1/56)) assuming s is positive. s**(7109/9576) Simplify ((w*(w*w**29*w)/w)/((w/w**(-2/19))/w)*w*w*w/(w/(w**(-11)*w)*w)*w*w*w*w*w*w**23)**(4/35) assuming w is positive. w**(3792/665) Simplify ((g**(-1/9)/g**5)/(g**(-6)/g*g/((g/(g/g**(-2/5)*g))/g*g*g)*g))**(-2/105) assuming g is positive. g**(46/4725) Simplify (((u/u**(-3))/u*u**(-3))/(u**(-4)*u*u/u**2*u*u))/((u*(u**(-1/4)*u)/u)**35)**(-1/21) assuming u is positive. u**(13/4) Simplify (((u**(-3/5)/u*u**8/u*u)**(-1/31))**(1/10))**(-3/32) assuming u is positive. u**(3/1550) Simplify ((b**(2/3))**(1/3)*b*(b*b/((b**1/b)/b))/b*b**(-2/3)*b)**(5/6) assuming b is positive. b**(80/27) Simplify (k**(-3)*(k**0/k)/k*(k**(-1)/k)/k**5)/((k/(k/(k/k**(-4))*k)*k)/k**(-2/9))**5 assuming k is positive. k**(-343/9) Simplify (r**(-3)/r**6)**39*(r*r**(-1)*r)**(-12)*r**(-3)*r**1 assuming r is positive. r**(-365) Simplify ((a**(2/11)/a)/(a**(-6)/a)*(a*a**(-1/5))/a**(-2/7))/((a**(-2))**(-14))**46 assuming a is positive. a**(-493082/385)
Total of -781 and 7. -774 Calculate 3 + 4110. 4113 Add together 1.558 and 1. 2.558 What is 14.4 - 0.8? 13.6 What is 0.2 plus 1050852? 1050852.2 Work out -0.21 + 2572. 2571.79 What is 1520 minus -75.4? 1595.4 Subtract -0.19 from 60. 60.19 Subtract 160561 from -0.3. -160561.3 Add together 139 and -41. 98 What is 5 minus 676? -671 What is 937 minus 959? -22 Subtract 1 from -9265. -9266 Add together -1 and 3.2. 2.2 Work out 1 - 7831. -7830 What is 0.08 minus -0.16498? 0.24498 Calculate -13711 + 2. -13709 What is -0.5 + -0.007329? -0.507329 Add together 0.3 and -58.515. -58.215 Calculate -10018.4 - 3. -10021.4 What is the distance between 0.72234 and 0.07? 0.65234 0.4 - 15 -14.6 What is the difference between 0 and 4037? 4037 234+-2 232 Calculate 11 - 1097.1. -1086.1 What is 0.077533 + 3? 3.077533 What is -2 minus 0.2469? -2.2469 Subtract 0.5 from -130577. -130577.5 0.1 + 689 689.1 Subtract -1.669 from 0.299. 1.968 What is the distance between -18 and -3795? 3777 -360 - 2 -362 What is the distance between -17 and -22.4? 5.4 What is -0.044 + 547? 546.956 What is 3 + 0.015299? 3.015299 Work out -91.337 - 58. -149.337 Work out -15169 + -1.1. -15170.1 -0.48+-2012 -2012.48 Work out -1 + 12.1316. 11.1316 Put together 0.3 and -0.0533. 0.2467 What is -444.7 - 4? -448.7 11 + 7.4 18.4 What is the difference between -21.227 and -0.3? 20.927 What is 8152047 + 0? 8152047 What is the difference between -48 and -89? 41 Put together -67 and -0.7. -67.7 Sum 3 and -0.19115. 2.80885 What is -12687 less than -3? 12684 Total of 0.05 and -1128. -1127.95 What is -1.87 plus -5.2? -7.07 Add -5 and 166966. 166961 Work out -47 + -11218. -11265 Calculate -1 - 58670. -58671 Work out -34.2 - -58.58. 24.38 Calculate -5 - 0.0762. -5.0762 Work out 2.94 - 153. -150.06 Add together 0.1 and 832.39. 832.49 Add together 10 and -99. -89 Work out 3 + -6848.96. -6845.96 What is 10.3 minus 0.01? 10.29 Work out -1221 - 0.5. -1221.5 Add together 24465 and -2. 24463 Calculate -0.2 - -55583.2. 55583 What is the distance between -1003.226 and -4? 999.226 Subtract 0.5 from 0.448337. -0.051663 What is the distance between -0.349 and -5? 4.651 What is -9096371 minus -2? -9096369 What is the distance between -0.095 and -110? 109.905 What is the difference between 377.6229 and 1? 376.6229 Calculate 0.0161 - 0.08. -0.0639 What is the difference between 1115 and -1? 1116 What is 0.19 + -1836? -1835.81 -98.568 + -11 -109.568 Add -511 and 0.02. -510.98 Calculate -6.5 - 0.5. -7 Add together 10.03 and 0.079. 10.109 Work out 3 + 281.551. 284.551 Add together -0.07 and 219. 218.93 Work out -494 + 2. -492 Subtract 0.57 from -3. -3.57 Work out 0.1 - -81. 81.1 -0.3 - -100187 100186.7 Calculate -5 - -2087. 2082 What is 0.5 less than 192? 191.5 Work out 4001 + -0.5. 4000.5 -1+-16 -17 What is -9 minus -475? 466 Total of 2 and -218373. -218371 What is -0.009933 - -5? 4.990067 What is 73729 - -0.3? 73729.3 -316+0.569 -315.431 What is 0.021 minus 53.4? -53.379 Subtract -15.7 from -3. 12.7 Sum -1376 and -41. -1417 Total of 2 and -0.0356. 1.9644 What is 148 plus 37.3? 185.3 What is the difference between -259.38 and -0.41? 258.97 What is 0.5 take away 6417? -6416.5 What is -8614 take away -0.3? -8613.7 Subtract -3 from -2.72. 0.28 Work out -0.1 + 84027. 84026.9 Add together -962 and 1. -961 Add together 0.6 and -104.853. -104.253 What is -69 less than 15850? 15919 Work out -0.2 + 0.0909. -0.1091 Work out -5 + 81316. 81311 What is -21529003 take away 4? -21529007 What is 30.8 plus 0.12? 30.92 Sum -0.41 and 6. 5.59 What is the difference between 0.2 and 25.873? 25.673 What is 0 + 925? 925 -21924+0.1 -21923.9 What is 11698 + -0.27? 11697.73 1.3 - 0.0614 1.2386 Calculate 4 - 6.3. -2.3 Add 702 and -0.13. 701.87 What is -3122 less than 1? 3123 What is -95.41 plus -2127? -2222.41 Work out -2.12 + 0.008. -2.112 Put together 11.72 and -1. 10.72 What is 18.466 + -0.1? 18.366 Sum -8.4 and 2.203. -6.197 Add together -732156 and -5. -732161 -0.1 + 0.201 0.101 Calculate 14686 - -0.3. 14686.3 Calculate 98 + -0.029. 97.971 What is 47 - -0.0574? 47.0574 0.025 + -2 -1.975 Sum -25 and 19.3. -5.7 What is 3 less than 0.52? -2.48 2808449+0 2808449 Add together 0.01 and 109. 109.01 Subtract 264694 from 0.5. -264693.5 Calculate -1988 - -0.4. -1987.6 Work out 252729 + 11. 252740 What is 0.2 - 202830? -202829.8 -1 + 3.3959 2.3959 What is 477.3 less than -39.07? -516.37 What is 0.033 take away 0.107? -0.074 27 - 2341 -2314 What is -0.82096 - 0.4? -1.22096 What is -10741 plus -0.08? -10741.08 Subtract 1 from 394. 393 Sum 3 and 818. 821 What is -186 plus -6.35? -192.35 What is -184.02 plus 0? -184.02 What is 0.02 less than 36045? 36044.98 Calculate 38278.59 - -0.2. 38278.79 What is -12 take away 0.3? -12.3 What is the difference between -230400.8 and -5? 230395.8 660+0 660 What is the difference between 662317 and -1.1? 662318.1 Put together -0.4 and 8262. 8261.6 Subtract 0.36474 from 0.137. -0.22774 Add together -3.1 and 841. 837.9 What is the difference between -0.4 and -80.61? 80.21 What is the distance between 0.1 and -1.673189? 1.773189 Subtract 0.15 from -17823. -17823.15 -40547+0.1 -40546.9 What is -15 - 0.047? -15.047 What is 361 - -5? 366 Add together -0.5 and -242139. -242139.5 88071 - -5 88076 What is 38 plus 7? 45 What is 301931 minus -0.04? 301931.04 2.1 + 629.756 631.856 What is the difference between -0.08401 and 4? 4.08401 What is 0.985 minus 1? -0.015 Add -26 and -30.691. -56.691 Total of -0.54902 and 0. -0.54902 Add together 305 and 450. 755 What is 9 less than -185883? -185892 What is the difference between -0.017 and 1.21875? 1.23575 Add together 5617 and -18. 5599 What is 2129 + 9.6? 2138.6 Add together -0.3 and -1272096. -1272096.3 What is -1353 less than -0.2? 1352.8 Add together 4 and 258. 262 What is 1.137 - -0.4? 1.537 Sum -0.2 and -310. -310.2 Work out -378649 - -0.3. -378648.7 Work out -1533 - 0.864. -1533.864 Total of 0.3 and -0.81. -0.51 Add together -1135 and -93. -1228 Put together 347 and -3184. -2837 What is -607 less than -5041? -4434 Add 322 and 3222. 3544 What is the difference between 11 and 2.6? 8.4 Subtract 2 from 12018. 12016 What is 0 + 1.1985? 1.1985 What is -3 less than -9907? -9904 What is the difference between 38 and -0.5? 38.5 What is 0.34763 take away -5? 5.34763 What is -906916 less than -0.02? 906915.98 What is 21 take away 14926? -14905 What is -0.1 take away 3.69? -3.79 What is 1.446 plus -5? -3.554 Calculate 0.5 + -17.0181. -16.5181 Work out -2288.74 + -0.5. -2289.24 -3 - 67919 -67922 What is the distance between -368.7 and -0.549? 368.151 Add 21139 and 2. 21141 Work out 29273 - 39. 29234 What is the distance between 582 and 997? 415 What is the distance between 307.8 and -2.8? 310.6 0.2 - -3156 3156.2 Subtract -464 from -30. 434 What is 347 minus 115? 232 Calculate 236 + -15.5. 220.5 What is 89667 minus -3? 89670 What is 1391725 - -3? 1391728 Calculate -25.55 - 1. -26.55 What is 2 less than 2.503722? 0.503722 What is 0.1 plus -527? -526.9 Put together 245 and -0.12. 244.88 What is 10.64013 less than 1? -9.64013 What is 1 plus 0.49345? 1.49345 What is -13 minus 1044? -1057 What is -43549 - 4? -43553 Calculate 0.01 - -0.01. 0.02 9711 - 4 9707 Total of -665.6 and 0.7. -664.9 What is the distance between -739228 and -1? 739227 What is 2.67 + -14.65? -11.98 Subtract -48 from 5.997. 53.997 Work out 0.5 + 283941. 283941.5 Subtract -1.026 from 5. 6.026 Add together 4.38 and 317. 321.38 Work out 206.46 + 4. 210.46 Subtract 0.1 from -103779. -103779.1 What is -40.149 - -0.1? -40.049 What is 8811 take away 6? 8805 Put together 2 and 360. 362 What is -711 plus 3? -708 Add -384109 and -0.08. -384109.08 Calculate 1.71 - 584. -582.29 Calculate 30 + -16.6. 13.4 Work out -90393 - -2. -90391 What is the distance between -156 and 283? 439 What is -30 plus 1.00511? -28.99489 What is 399004 + -1? 399003 What is 32225 - -0.13? 32225.13 Work out -12.8 + -0.3. -13.1 Put together 2441 and -5.3. 2435.7 What is 1734248 minus 3? 1734245 What is 61 take away -13? 74 Total of -0.161 and -9. -9.161 6+-11.61 -5.61 Calculate -8818 - -0.4. -8817.6 What is 0.1 - 323? -322.9 What is 5114 less than 1? -5113 What is -21 minus -30539? 30518 Subtract -4 from -9.265. -5.265 Add together 48.4119 and -0.1. 48.3119 -559.14+-12 -571.14 -53.0997 - 6 -59.0997 What is -141475 - -0.4? -141474.6 Subtract 0.071376 from -11. -11.071376 713.7194+-0.4 713.3194 What is 9858150 + 2? 9858152 Add together 3 and 577. 580 Calculate -14.3 + 167. 152.7 What is the distance between 0.39 and -145? 145.39 What is 16.3 minus 17? -0.7 Subtract 0.351 from 0.2. -0.151 What is 2 + 825? 827 Calculate -0.0226 - -5.1. 5.0774 What is the distance between 5 and -0.35312? 5.35312 What is 8 plus 36935? 36943 Add 225319 and 0.23. 225319.23 What is -100520 - -0.05? -100519.95 Work out -23.87 - 97. -120.87
Let d be ((-11)/33)/((-3)/45). Let a(n) = -2*n - 2. Calculate a(d). -12 Let x be (-8)/(-16) - 1/2. Let w(l) = 20*l**2 + 3*l - 35. Let y(n) = -7*n**2 - n + 12. Let g(h) = 6*w(h) + 17*y(h). What is g(x)? -6 Let m(u) = u**2 - 6*u + 9. Let y = -11 - -17. Determine m(y). 9 Suppose 3*b = -8 - 1. Let f = b + 3. Let a(y) = -2*y**2 - y - 3. Let k(r) = -5*r**2 - 2*r - 7. Let c(w) = -7*a(w) + 3*k(w). Give c(f). 0 Let r(h) = -3*h**3 + 2*h**2 + 2*h + 1. Let m = 0 + 4. Let a be (-4)/(-16) - 1/m. Suppose -5*n - 7 + 2 = a. Determine r(n). 4 Let p(y) = -5*y**3 - 4*y**2 + 4*y + 1. Let l(f) = -f**3 - f**2 + f + 1. Let m be (0/4)/(-3) + -1. Let v(u) = m*p(u) + 2*l(u). What is v(1)? 4 Suppose 5*m = 5 - 15. Let u(v) = -13*v**2 + v - 3. Let r(f) = 9*f**2 - f + 2. Let c(o) = -7*r(o) - 5*u(o). Calculate c(m). 5 Suppose -4*y - 6 = -7*y. Suppose -y*q + 5*a - 23 = -3*q, -2*q - 4*a + 22 = 0. Let g(f) = -f**2 + 4*f - 2. Determine g(q). 1 Let l(r) = -r + 14. Let w(a) = a - 15. Let u(k) = 5*l(k) + 4*w(k). Determine u(7). 3 Let v(x) = x**2 - 5*x + 2. Let t(i) = i**3 + 8*i**2 + 13*i + 12. Let a be t(-6). Give v(a). 8 Let w(d) = d**2 - d + 5. Let j be w(0). Suppose -x - 2 = x, -5*v = -j*x. Let o(f) = 8*f + 2. Let p(l) = -7*l - 2. Let t(n) = -6*o(n) - 7*p(n). What is t(v)? 1 Let h(l) = l**3 + 5*l**2 + 5*l + 8. Let m be h(-4). Let v(i) = -1. Let o(j) = -j - 7. Let q(p) = -2*o(p) + 18*v(p). Give q(m). 4 Let y(l) = -2*l**2 + 4*l - 3. Suppose 7*w = 4*w + 5*u + 17, 4*u + 4 = 0. What is y(w)? -19 Let z(y) = y**2 - y + 1. Let j(g) = -5*g**2 + 6*g - 6. Let o(x) = -2*j(x) - 11*z(x). Give o(2). -5 Let v(g) = -g**2 - g + 20. Let x = -4 + 4. Let b be v(x). Suppose -3*i - 2*i = -b. Let o(s) = -s**2 + 4*s + 2. What is o(i)? 2 Suppose -5*r + 1 = -4*r. Let o(y) = 10*y**2 + y. Calculate o(r). 11 Let g = -2 - -7. Let i(u) = -u - 2. Determine i(g). -7 Let k(y) = -y - 5. Let q be k(-4). Let h(o) = -o**3 - o**2 + o. Let x(n) = 3*n**2 + 5*n + 4. Let a(d) = q*x(d) + h(d). Determine a(-3). -1 Let h(m) = 6*m - 6. Let k(w) = -3*w + 3. Let t(s) = 2*h(s) + 5*k(s). Let b = 46 + -41. What is t(b)? -12 Let s(o) = o - 4. Suppose 35 = t - 6*t. Determine s(t). -11 Let j(z) = -z**3 - 5*z**2 + z - 1. Suppose 15 = -0*b + 5*b. Let x(v) = 3 + 2*v**b - 2 - 2 + 3*v**2. Let r be x(-2). Determine j(r). -6 Let v(j) be the second derivative of -5*j**4/12 - j**3 + j**2/2 - j. Let p(k) = 5*k**2 + 5*k - 1. Let m(x) = 4*p(x) + 3*v(x). Calculate m(1). 6 Suppose 5*i - 18 = 2*i. Let m(h) = 2*h - 8. What is m(i)? 4 Let l(k) = -7*k**2 + 5. Let u(q) = 5*q**2 - 3. Let n(s) = -s**2 + 1. Let d(m) = -n(m) + u(m). Let y(g) = -6*d(g) - 5*l(g). Let b = -85 - -84. What is y(b)? -2 Let j(o) = 0*o**3 + 0*o**3 - 5*o - 4*o**2 - 1 + o**3. What is j(5)? -1 Let p(j) = j**3 + 6*j**2 + 5*j + 2. Let l be p(-5). Let v(m) = 0*m**2 - 2*m**3 - 3*m**2 + 7*m**2 - 3*m**l. Give v(-1). 3 Let k(a) = 508*a**2 - 2 + a - 7 - 507*a**2. Let i(u) = u**2 - 8*u + 7. Let v be i(7). What is k(v)? -9 Suppose 5*g + 5 = -h - 4, 0 = -3*g - 4*h - 2. Let m(b) = -5*b - 2. Determine m(g). 8 Let s(z) = -2*z**2 - 3*z + 5. Suppose 3 = l + 1. Suppose l*g - 5*d = 5*g + 22, 12 = -5*g + 4*d. Calculate s(g). -15 Let z(w) = -10*w**3 + 2*w**2 - 2*w + 1. Let i(t) = -t**3 - 7*t**2 - 6*t + 1. Let m be i(-6). What is z(m)? -9 Let d(t) = 3*t**2 + 3*t - 4. Let i be 6/(-10) - (-60)/(-25). Calculate d(i). 14 Let z(g) = g**3 - 9*g**2 + 8*g. Suppose -2*x - 66 = -5*x. Suppose -x - 18 = -5*i. Determine z(i). 0 Let m(c) = c + 8. Let w(g) = 2*g + 15. Let b(v) = -10*m(v) + 6*w(v). Suppose 11 - 32 = 3*h. What is b(h)? -4 Let q(l) = 5*l**3 - 10*l**2 - 9*l - 11. Let o(u) = 14*u**3 - 30*u**2 - 27*u - 32. Let i(d) = 6*o(d) - 17*q(d). What is i(-9)? -5 Let f(q) = q**3 - 4*q**2 - 5*q + 4. Suppose -5*n - 11 = -36. What is f(n)? 4 Let l(a) = -a**2 + 1. Let r(v) = 5*v**2 - v - 5. Let z(u) = 11*l(u) + 2*r(u). Determine z(-4). -7 Let m(i) = 472*i**2 - 471*i**2 - 2 + 8 - 6*i. Determine m(5). 1 Let l(s) be the first derivative of -s**4/4 - 2*s**3/3 - s**2/2 + 4. Calculate l(-2). 2 Let a(c) be the third derivative of -1/6*c**3 + 0*c + c**2 + 1/60*c**5 - 1/24*c**4 + 0. Calculate a(3). 5 Let a = -3 - -2. Let t(p) = -p + 5. Let u(f) = -4. Let k(n) = -5*t(n) - 6*u(n). Let y(g) = -4*g + 1. Let b(j) = 2*k(j) + 3*y(j). Determine b(a). 3 Suppose 0 = p - 0*p. Let k(b) = p + 0 + 3*b + 0 - 1. Calculate k(2). 5 Let q(a) = -a**3 - 4*a**2 - 5*a - 3. Let s be q(-3). Let l be (-2 - -1)*(0 - 1). Suppose 4*b - 13 = s*n, 2*b + l = -5*n - 12. Let d(j) = j + 4. Give d(n). 1 Let f(n) be the second derivative of 5/6*n**3 - 1/12*n**4 - 3/2*n**2 + 0 - 3*n. Let b = 2 - -3. Calculate f(b). -3 Suppose -10 + 4 = -3*c. Let j(v) = c*v**3 - 3*v**2 + 6*v**2 - 2*v**2. Give j(-1). -1 Suppose 3*h - z - 26 = 0, h + 2*z + 9 = 27. Let t be (-2)/(2/(-1)) + h. Let n = t + -6. Let g(u) = u**2 - 3*u - 5. What is g(n)? 5 Let m(t) = 8*t**3 - 2*t + 1. Suppose 2 = 2*j - j. Let g be (-1 - 0) + (j - 8). Let r(l) = l + 8. Let y be r(g). Determine m(y). 7 Let z be 0 + 0 - (0 - -2). Let f(p) = -20*p**2 - 29*p + 8. Let w(k) = -7*k**2 - 10*k + 3. Let u(t) = -6*f(t) + 17*w(t). Determine u(z). -1 Let q(m) = 6*m - 1. Let j(x) = -7*x - 4. Let d be j(-2). Let l = d + -11. Determine q(l). -7 Let i(h) = h**3 + 7*h**2 + 6*h - 6. Suppose 7 - 27 = -5*s. Let p(w) = -w + 7 - 6 - 2*w - s*w. Let l be p(1). Calculate i(l). -6 Let q(w) = -5 - w + 14*w + 4. Determine q(1). 12 Suppose 8*d = 9*d. Let s(p) = -p + 1. Let j be s(d). Let g(w) = 3*w. Determine g(j). 3 Let h = -5 - -7. Let k(l) = 0 - 6*l**2 + 15*l**h + 1 - 10*l**2. Give k(-3). -8 Suppose -5 - 1 = -3*c. Let g(d) = 4*d + 1 - c*d - d. Suppose -a + 10 = a, r - 2*a + 6 = 0. Give g(r). 5 Let a(i) = -i**2 + 3 + 0*i + 5*i**3 - 6*i**3 + 3*i. Determine a(-3). 12 Suppose -3*x + 6 = -0. Let b(q) = -9*q + 9 - 8*q + 2. Let w(y) = -8*y + 5. Let c(i) = -3*b(i) + 7*w(i). Give c(x). -8 Let n = 35 + -30. Let u(r) = -r**2 + 5*r. Determine u(n). 0 Let q(y) be the first derivative of -y**3/6 - 9*y**2/2 + y - 6. Let v(l) be the first derivative of q(l). Determine v(-6). -3 Suppose 5*o - 4*x - 4 = 0, 4*o - 3*x + 4 = 2*x. Let h(z) = -z - 4*z + o*z + 2*z - 11. Determine h(0). -11 Let z(y) = y**3 - 4*y**2 + 2. Suppose i + i + 4 = 0. Let a be i*((-5)/(-2))/(-1). Suppose m = a*o - 23, -2 = -5*o - 5*m + 3. Calculate z(o). 2 Let k(u) = -2*u**3 - u**2. Let h be 2 + 4/(8/(-4)). Suppose -5 = 3*j - y - y, -3*j + 4*y - 13 = h. What is k(j)? -3 Suppose -u = 3*r - 15, -r + 4 = -0*r. Let p(j) be the first derivative of u + 2*j - 1/2*j**2. Determine p(-3). 5 Suppose -35 = 5*v + 5*f, 0*v + 31 = -5*v - 3*f. Let i(h) = -5*h + 4*h**2 + h**3 + 0*h**3 + 1 + 1. Calculate i(v). 2 Let h(v) = 26 - 11 - 3*v - 35. Determine h(-8). 4 Let g(l) = 3 + 2 - 7 + 10 - l**2. Give g(0). 8 Let h be 4 - (10 - (2 - 1)). Let f(s) = -s**2 - 2*s. Calculate f(h). -15 Let b be (3 - 22/8)*(-4)/(-1). Let s(a) = 7*a - 1. Calculate s(b). 6 Let w(d) = 6 + 0*d + d**2 - 1 + 5*d. Let n = -13 + 8. Let o be w(n). Let q(h) = 2*h - 6. Determine q(o). 4 Let a be (-8)/36 + (-112)/(-18). Let x(j) = -j**3 + 5*j**2 + 5*j - 2. Give x(a). -8 Suppose -2*t - 3 = -4*r + r, t = 2*r - 3. Let w(n) = -n + 4. Let s be w(2). Let q(b) = 4 - 6*b - t + s*b**2 - b**2. What is q(5)? -4 Let n(z) = z**2 - 4*z + 3. Let d(v) = -v**3 + 9*v**2 - v + 12. Let t be d(9). Calculate n(t). 0 Let w be (-3)/6*36/6. Let z(g) = -14*g**3 + 26*g**2 + 3*g - 9. Let f(i) = 5*i**3 - 9*i**2 - i + 3. Let l(s) = -17*f(s) - 6*z(s). Give l(w). 6 Let d(y) = -17*y + 7*y + 9*y. Let b(z) = z**3 + 5*z**2 + 4. Let o be b(-5). Let s = o + -7. Calculate d(s). 3 Let i(s) = -s + 1. Let u be i(-15). Suppose -4*c - 7 = -5*w, -w - 2*c = 3*c + u. Let b(o) = 5*o**2 - 1. Determine b(w). 4 Let o(n) = -2*n + 2. Suppose -4*c - 6 = -5*c. Let t(v) be the second derivative of v**4/12 - v**3 + 5*v**2/2 + 5*v. Let b be t(c). Calculate o(b). -8 Suppose -4*x + 2 + 2 = 0. Let i be 1/(-6) + x/6. Let n be i/(-4) - (-4)/2. Let u(o) = -o**2 + 4*o + 1. Calculate u(n). 5 Let w(m) = -2*m**2 + 2 + 3*m - 3*m**2 + 9*m**2 + 2*m**3. Calculate w(-2). -4 Let l(a) = -4*a + 3 + 6*a + a**2 + 3*a + 1. Suppose 5*k - s = 34, 0*k + 2*k - 3*s - 11 = 0. Let b = -10 + k. Determine l(b). -2 Let d(q) = 17*q**2 + 3*q + 35. Let w(a) = 9*a**2 + 2*a + 18. Let l(b) = 6*d(b) - 11*w(b). Let v(h) = h**2 - h + 4. Let i(m) = 4*l(m) - 11*v(m). What is i(4)? 0 Let y = 170 - 169. Let d(l) = 12*l - 4. Let a(r) = -11. Let t(o) = -7. Let v(z) = 5*a(z) - 8*t(z). Let b(n) = d(n) + 3*v(n). Determine b(y). 11
Two letters picked without replacement from {f: 6}. What is prob of sequence ff? 1 What is prob of sequence vc when two letters picked without replacement from uvopvcmm? 1/28 What is prob of sequence gf when two letters picked without replacement from zfgfnznjkjjg? 1/33 What is prob of sequence om when two letters picked without replacement from rtoxtgm? 1/42 Three letters picked without replacement from {g: 3, t: 11}. Give prob of sequence ttt. 165/364 What is prob of sequence bpp when three letters picked without replacement from wbbwbbppwwbbwbbbbppw? 1/57 Calculate prob of sequence bsxo when four letters picked without replacement from xkkkkxkksxbkoxkkkko. 1/11628 Two letters picked without replacement from {t: 10, r: 2}. What is prob of sequence rt? 5/33 Three letters picked without replacement from rrrrr. Give prob of sequence rrr. 1 Four letters picked without replacement from {z: 1, t: 7, v: 2, f: 3, s: 4}. Give prob of sequence tsst. 3/340 What is prob of sequence rd when two letters picked without replacement from rddzrdbddzdzzddb? 1/15 Three letters picked without replacement from {p: 5, t: 1, m: 1, e: 2, h: 1}. What is prob of sequence pth? 1/144 Three letters picked without replacement from {u: 6, g: 1, m: 2, w: 3, i: 4}. Give prob of sequence iuu. 1/28 Three letters picked without replacement from yyjnyydi. What is prob of sequence idy? 1/84 What is prob of sequence dr when two letters picked without replacement from {r: 1, d: 1, u: 3, p: 6, c: 3}? 1/182 Four letters picked without replacement from ttwcbeub. What is prob of sequence uwbe? 1/840 Two letters picked without replacement from twmss. What is prob of sequence ms? 1/10 What is prob of sequence lphg when four letters picked without replacement from {x: 1, h: 1, p: 9, l: 1, k: 1, g: 4}? 3/4760 Calculate prob of sequence jzzj when four letters picked without replacement from {j: 3, z: 3}. 1/10 Four letters picked without replacement from jjjjjjjjjjxjxjjjjxx. What is prob of sequence xxjj? 35/1292 Four letters picked without replacement from {g: 1, y: 14}. What is prob of sequence ygyy? 1/15 Two letters picked without replacement from {i: 2, y: 11, e: 7}. What is prob of sequence iy? 11/190 Calculate prob of sequence rrlz when four letters picked without replacement from {z: 1, c: 1, l: 1, r: 2}. 1/60 What is prob of sequence jtj when three letters picked without replacement from {t: 2, j: 4, g: 6, e: 1, n: 2}? 4/455 What is prob of sequence yy when two letters picked without replacement from {f: 1, r: 2, l: 2, y: 5, q: 6}? 1/12 Three letters picked without replacement from drmdddr. What is prob of sequence ddr? 4/35 Calculate prob of sequence wkg when three letters picked without replacement from smkwgmkgwgkswkkkw. 3/170 Four letters picked without replacement from {n: 2, o: 1, b: 1, p: 2, y: 1, f: 1}. Give prob of sequence ponn. 1/420 Calculate prob of sequence pg when two letters picked without replacement from {c: 1, p: 1, g: 2}. 1/6 What is prob of sequence nhk when three letters picked without replacement from khn? 1/6 What is prob of sequence kow when three letters picked without replacement from {k: 1, n: 4, e: 6, o: 1, w: 6}? 1/816 What is prob of sequence ll when two letters picked without replacement from blbibbillli? 6/55 Calculate prob of sequence rii when three letters picked without replacement from iciiiiiriiiiiii. 2/35 Two letters picked without replacement from {p: 4, l: 5, k: 1, f: 3}. Give prob of sequence lk. 5/156 Four letters picked without replacement from {l: 1, s: 1, v: 1, x: 1, u: 2, f: 1}. Give prob of sequence lvuu. 1/420 Two letters picked without replacement from jzjjkjzr. What is prob of sequence rz? 1/28 Two letters picked without replacement from {s: 6, w: 1, g: 7}. What is prob of sequence ws? 3/91 What is prob of sequence jrhr when four letters picked without replacement from {e: 1, r: 5, h: 1, j: 5}? 5/594 Two letters picked without replacement from {v: 4, t: 14}. What is prob of sequence vv? 2/51 Calculate prob of sequence qkt when three letters picked without replacement from ktzzqtqqqtz. 2/165 Calculate prob of sequence aaa when three letters picked without replacement from {a: 4, x: 2, s: 8}. 1/91 Two letters picked without replacement from {h: 10}. Give prob of sequence hh. 1 What is prob of sequence vvp when three letters picked without replacement from {p: 5, v: 5}? 5/36 What is prob of sequence ylyy when four letters picked without replacement from yyyllyy? 1/7 Two letters picked without replacement from ugpkugguuphux. What is prob of sequence hk? 1/156 What is prob of sequence io when two letters picked without replacement from {b: 1, o: 5, h: 2, i: 1}? 5/72 Three letters picked without replacement from jqj. Give prob of sequence jjq. 1/3 Three letters picked without replacement from lnnhlrklhlaklllllll. Give prob of sequence nla. 11/2907 What is prob of sequence vvvv when four letters picked without replacement from vvvvgvgvvvvvggggvgv? 165/1292 Three letters picked without replacement from pgtpxxzgpxttpxpoxptt. What is prob of sequence pzg? 1/570 Four letters picked without replacement from hhhssyyyhshshh. Give prob of sequence syyh. 1/143 Three letters picked without replacement from tbfintq. What is prob of sequence fbi? 1/210 What is prob of sequence tw when two letters picked without replacement from ntntnwppnptftpptpt? 1/51 Four letters picked without replacement from {w: 2, s: 3, n: 2, f: 3, h: 2, g: 4}. What is prob of sequence fhhs? 3/7280 Two letters picked without replacement from gggggggggg. What is prob of sequence gg? 1 Four letters picked without replacement from {d: 1, r: 3, g: 4, m: 1, o: 2, f: 1}. Give prob of sequence ofmg. 1/1485 What is prob of sequence isis when four letters picked without replacement from {i: 7, s: 12}? 77/1292 Four letters picked without replacement from xssswexsssrssxex. What is prob of sequence xees? 2/1365 Three letters picked without replacement from mqqm. What is prob of sequence qqm? 1/6 What is prob of sequence ll when two letters picked without replacement from mmmllmmmlmm? 3/55 What is prob of sequence ou when two letters picked without replacement from {v: 6, f: 2, o: 3, l: 1, u: 3}? 3/70 What is prob of sequence hpp when three letters picked without replacement from {d: 1, b: 1, q: 1, p: 1, h: 1}? 0 What is prob of sequence zh when two letters picked without replacement from hbbbbzzzbbbxbb? 3/182 Two letters picked without replacement from {a: 1, j: 1, c: 1, t: 1, w: 3}. What is prob of sequence tc? 1/42 Two letters picked without replacement from {v: 3, h: 3, r: 8, p: 2}. Give prob of sequence vv. 1/40 What is prob of sequence eeeb when four letters picked without replacement from eebeeeebeeeeeebbebe? 455/3876 Two letters picked without replacement from gtglquljuqqgtujjgllj. Give prob of sequence jt. 2/95 Two letters picked without replacement from emewwmeww. What is prob of sequence wm? 1/9 Four letters picked without replacement from jqqqj. Give prob of sequence qqqj. 1/10 What is prob of sequence ufb when three letters picked without replacement from ujjffjfjjobb? 1/220 Two letters picked without replacement from {k: 3, l: 3, v: 5, e: 2}. Give prob of sequence ve. 5/78 Calculate prob of sequence zzm when three letters picked without replacement from mmzzzzzm. 5/28 Two letters picked without replacement from {f: 12, x: 1}. What is prob of sequence fx? 1/13 Calculate prob of sequence buu when three letters picked without replacement from uuubbuuuubuuuubbuu. 65/408 Three letters picked without replacement from zgjjjgzzgzzgjgt. Give prob of sequence tzg. 5/546 Two letters picked without replacement from jtjrraajarnaeaaae. Give prob of sequence nt. 1/272 Three letters picked without replacement from {e: 2, r: 9}. What is prob of sequence rre? 8/55 What is prob of sequence oe when two letters picked without replacement from {e: 2, j: 3, i: 1, g: 6, o: 6}? 2/51 What is prob of sequence nn when two letters picked without replacement from cccncncccccnncccccn? 10/171 Three letters picked without replacement from {h: 6, x: 3, u: 1, w: 5, a: 2}. What is prob of sequence xxx? 1/680 Two letters picked without replacement from vsdczdw. What is prob of sequence sw? 1/42 What is prob of sequence jj when two letters picked without replacement from {j: 5}? 1 Three letters picked without replacement from {x: 5, i: 3, c: 6, a: 3}. What is prob of sequence ixx? 1/68
Suppose -4*b - f = -0*b - 23440, 4*f = -4*b + 23440. Suppose b = 2*l + 2*l. Is l composite? True Suppose 5*f + 58*j = 57*j + 1788078, 2*f - 3*j = 715255. Is f a composite number? True Let u = -40 + 170. Suppose 2*r + 0*r + 250 = -4*x, -2*x - 2*r - u = 0. Let g = 145 + x. Is g a composite number? True Let n(b) = 14*b + 22. Let j be n(23). Let i = j - 1391. Is -1 - i - 3 - 0 a prime number? False Suppose -n - 3*v = 1 - 3, v = 0. Let t(u) = -13*u + 107*u**2 + 9*u + 0*u + n. Is t(5) prime? True Let g be (-33663)/(-6) - 4 - 1/(-2). Let s = g - -5932. Is s a composite number? True Suppose n + 5*g + 3 = 0, 2*g = 7*g. Let v(z) be the third derivative of -361*z**4/8 + z**3/3 + 8*z**2 - 4*z. Is v(n) prime? True Suppose -107*l - 15 = -110*l, 5*a = 3*l + 903830. Is a a prime number? False Suppose 739818 + 106900 = 181*v. Is v a prime number? False Let q(y) = 694*y**3 - 19*y**2 + 62*y - 34. Is q(3) a prime number? True Suppose -5*f = 2*a - 222083, 2*f - 53090 - 35745 = a. Is f a composite number? False Suppose 114*j - 119*j + 5 = 0, -3*y + 744701 = 8*j. Is y composite? False Suppose 0 = y + y - 8. Suppose 1203 = y*k - 8065. Is k a composite number? True Let v = 1 + -6. Let p(y) be the second derivative of -7*y**5/10 + y**4/6 - 4*y**3/3 - 9*y**2/2 + 22*y + 12. Is p(v) composite? False Let h(y) = 95*y**2 + y - 3. Let n be h(2). Suppose x + 758 = 2*d, 9*d - x - n = 8*d. Is d prime? True Let y be (40/(-12) + 0)/(2/(-33)). Suppose -4*n + 65 + y = 0. Is 16870/n + (-4)/(-6) + 0 prime? True Suppose x - 105 = m, 4*m + 425 = 3*x - 4*x. Let b = 553 + m. Is b prime? False Suppose 4*k - 4*f = 24, 4*k - 17 = 3*f - 6*f. Let g(l) be the second derivative of 43*l**4/6 - 2*l**3/3 - l**2/2 + 42*l. Is g(k) a prime number? True Let u(i) = -14*i - 10*i**2 + 11 + 8*i - 39*i + 15*i - 43*i**3. Is u(-10) a prime number? False Suppose 34*b = 42938 - 13120. Let s = 2246 - b. Is s a prime number? False Suppose -6*l - 5*r - 1815831 = -9*l, -2*l = r - 1210580. Is l composite? True Suppose 6484586 = 10*c - 5017493 - 3892411. Is c a prime number? True Let z(r) = -14*r**3 + 2*r**2 - 54*r - 71. Is z(-20) prime? True Suppose 561*n = 553*n + 2450168. Is n a composite number? True Suppose -2*k - 36 = b + b, -4*k = -4*b + 88. Let d(c) = 2*c**2 + 39*c + 3. Let t be d(k). Suppose -4*f + u = -3*f - 25, f - 3*u = t. Is f a prime number? False Let w be 45 - (-2 - -17)/5. Suppose -8*o = -o - w. Is (8/o)/((-22)/(-1947)) a composite number? True Suppose -270*p = -236*p - 4994294. Is p prime? True Let i(w) = -2*w**2 + 6*w + 10. Let n be i(7). Let g = -43 - n. Is g/9 - (-9326)/3 composite? False Let s(y) = -51*y**2 + 5*y - 23. Let u be s(3). Let g = 680 + u. Is g composite? True Is (7/(-35)*379)/(3/(-15)) a prime number? True Let z be -1 + -5 + 4 + 5. Suppose -z*q = -r + 552, 3*q - 3*r - 23 = -575. Let h = q - -387. Is h a composite number? True Suppose -147*i - 32103798 = -225102009. Is i a prime number? False Let j(a) = 195*a**2 - 8 - 10*a - a**3 - 8*a - 5 - 206*a**2. Is j(-15) a composite number? True Suppose g - m = 527637, 5*g - 95801 = 2*m + 2542378. Is g composite? True Let k = 233 - 228. Let n = -388 + 3322. Suppose -k*h = -11*h + n. Is h a prime number? False Let h(i) = -18 + i**2 - 81*i + 5 + 82*i + 17*i**3. Let j be h(5). Suppose 0 = -u - 4, 5*u + j = -2*g + 4*g. Is g a composite number? False Let a = 209349 - 32794. Is a prime? False Let k(t) = -4*t**3 - 8*t**2 - 22*t - 577. Is k(-21) a prime number? False Suppose -4*k + 50*k - 4156831 = -157*k. Is k composite? False Let q(s) = -s**2 - 4*s - 2. Let a be q(-1). Suppose 2*i - 5 = -a. Suppose -2*r = -3*u + 5951, -2*u - i*r = -2872 - 1112. Is u a composite number? False Is -5 - (-267910 + (5 - 15) + 17) a prime number? False Suppose 23*s + 2842561 = 82*s. Is s a composite number? False Is 16/(-4) + ((-127)/2)/(61/(-696742)) prime? True Suppose -b + 0*b - 3 = 0, 2*m = 3*b + 9. Suppose -4*x + 5*h + 9725 = m, 2*h = -4*x - 3*h + 9755. Is x a composite number? True Let v(z) = -532277*z - 508. Is v(-1) a composite number? True Suppose -60460 = -2*w - 14330. Let c = -3533 + 3564. Suppose w = c*k - 26*k. Is k composite? True Suppose 37*l - 38*l = c - 1141413, -4565642 = -4*c + l. Is c prime? False Let p(z) = -3*z + 7. Let w be p(-5). Suppose 4*y - w = -14. Suppose 0 = 5*b - y*d - 2147, -2*b + b + d + 427 = 0. Is b composite? False Suppose 74*i - 256553 - 576317 = 0. Is i composite? True Suppose -b + 2*n + 19357 = 0, 121*b = 117*b - 3*n + 77483. Is b composite? True Is ((-1)/(-7))/(183535830/8739801 - 21) composite? False Suppose -16 + 240 = 28*g. Suppose 0 = 4*v - 3*d - 762 - 4862, 0 = -2*d + g. Is v a prime number? True Suppose 5*f = -2*i + 48 - 28, 2*f + 6 = 2*i. Suppose -3*t = -4*p + 649 + 394, -795 = -3*p - f*t. Is p composite? False Suppose 0 = -3*o - 8*o. Suppose 21889 = 3*s - 4*k, o = k - 1 - 4. Suppose s = 10*u - 4807. Is u a composite number? True Suppose -24*z + 1283369 = 18*z - 11*z. Is z a prime number? True Suppose -781994 = -5*d - 3*s, 2*d + 474*s = 470*s + 312806. Is d prime? False Suppose -92*i = -95*i. Suppose -15*t + 34*t - 78223 = i. Is t a composite number? True Let f = -216840 - -425309. Is f prime? True Suppose -5*x = 2*r - 464058, 3*r - 747698 = 3*x - 51527. Is r a composite number? False Suppose -t + 4*u + 1452037 = 0, 1365654 = 2*t - 2*u - 1538456. Is t composite? True Suppose 5*u + 55 = 3*q, 0 = -2*q + 5*u - 5 + 45. Let s(n) = q*n**2 + 7 - 22 - 231*n + 224*n. Is s(9) a composite number? True Let b(w) = -3*w + 52. Let l be b(14). Suppose -3*d + 2*p + 39451 = 0, -l*p + 5*p + 39416 = 3*d. Is d composite? False Suppose 0*i - 2048 = -i. Suppose -14*d - 4*y + 1189 = -11*d, -y = -3*d + 1169. Let v = i - d. Is v composite? False Let h(z) = -41*z**3 - 8*z**2 + 22*z + 13. Let v be h(-6). Suppose -4*b + 41932 = 4*s, 2*b = 3*s + v - 39918. Is s a prime number? True Let t = 513848 + -169541. Is t a prime number? False Let f be 1706/7 - (198/42 - 5). Suppose 12*z = f + 872. Suppose 0 = -5*u + 3*w + 413, -u = -0*u + 2*w - z. Is u composite? True Let u(w) = -2*w**2 + 6*w + 6931. Let x be 1/4*0/(-28). Is u(x) prime? False Let j be (-45)/(8*(-4)/(-68960)). Is (-18)/33 + j/(-99) prime? False Let t = -83 + 139. Let m = t - -702. Is m prime? False Suppose 0 = 2*p - 3*w - 578489 - 170175, 5*p = -5*w + 1871735. Is p prime? False Let b(f) = -376*f - 34. Let c be b(-29). Is (-14)/(6502/c - 12/20) composite? True Suppose 0 = 4*q - q + 5*q - 1855608. Is q a prime number? False Suppose -4*d + 2 = -y - 0*y, -2*y + 6 = 2*d. Is 0 - -3232 - (5 + -7)/y a prime number? False Suppose -12*g = -17 - 7. Suppose -2*d = g*q + 4, 0 = 2*d + 5*q + 3 + 4. Is 123 - (-3 + (-2 - d)) prime? True Let s(m) = 7*m + 10. Let q(p) = 4*p + 6. Let b(d) = -5*q(d) + 3*s(d). Let f(a) = 948*a - 25. Let z(u) = -6*b(u) - f(u). Is z(-6) a composite number? False Suppose -m - 338 - 721 = -v, 5*m = -4*v + 4236. Let u = 700 + v. Is u a prime number? True Is (295686/(-21))/((-2)/7) + -4 a composite number? False Suppose -44*m - 94*m + 236442628 = 176*m. Is m prime? False Suppose 73*s - 22*s = 29*s + 12003508. Is s composite? True Let j(k) = 182*k**2 + 47*k - 341. Is j(10) a prime number? True Let w be ((-4)/8)/(1/8). Let s(y) = 33*y**2 + 41 - 6*y + 35 + 34 + y - 117. Is s(w) composite? False Let r(p) = 2*p**2 + 35*p + 151. Let n be r(-5). Suppose -135 = -n*w + 239611. Is w prime? True Let k be (-1 + 8)*(-1938)/357. Is (31 + 160)*(0 - 1 - k) composite? True Suppose 0 = 3*q - 0*q - g - 35712, 4*q + 4*g = 47600. Is (1 - q)*(-1)/2 prime? False Let z(p) = 13*p + 95. Let a be z(-8). Let j(r) = 315*r**2 + 23*r + 229. Is j(a) prime? True Suppose 34*o - 600055 = 33*o - 4*f, -6000262 = -10*o - 4*f. Is o prime? False Suppose 68572 = 30*p - 34*p. Let v = 24260 + p. Is v a composite number? True Suppose 3*y = 5*k + 85339, 5*k = -19 + 39. Is y a prime number? False Let u(x) be the first derivative of -x**4/12 + 163*x**2/2 + 20*x + 35. Let q(c) be the first derivative of u(c). Is q(0) a prime number? True Let c = -297920 + 420414. Suppose c = -33*y + 340261. Is y composite? False Let b(l) = -2427*l + 85. Is b(-16) composite? False Suppose 698321 + 18609444 = 132*s + 3832217. Is s prime? True Let d(z) = -2318*z**2 - 11*z - 3. Let t be d(5). Is t/(-84) + (-6)/(-14) a prime number? True Suppose -80 = -5*q - 3*m, 2*m - 5*m - 48 = -3*q. Let r(j) = -j + 18. Let o be r(q). Suppose -2*c + 822 = -4*i, -o = -i + 3*i. Is c composite? False Suppose 5*d + 2914 = -4*m, 5*d + 11*m + 2913 = 8*m. Let t = 1915 + d. Is t a composite number? True
Calculate the lowest common multiple of 7 and (2590/6)/(206/618). 1295 Suppose 0*y - 8*y + 0*y + 2400 = 0. Calculate the lowest common multiple of y and 465. 9300 Let k(a) = 5*a - 6 - 1 - 3*a + 3 + 4*a**2. What is the least common multiple of k(-3) and ((-138)/115)/((-1)/5)? 78 Let x be (-3*1/2)/(3/(-16)). Calculate the common denominator of 1 + x/(-4) - 154/(-12) and (131/(-36))/(5 + (-28)/6). 12 Let b = -56404 - -52455713/930. Calculate the common denominator of b and 77/18. 2790 Suppose -z + 375 = y, -768 = -2*y - 7*z + 11*z. Calculate the smallest common multiple of 84 and y. 756 Let q be 3/((-54)/(-4)) + (-440)/(-45). Find the common denominator of (-2)/q*(-565)/12 and -44/7. 84 Let u = 1948823/80 + -24360. What is the common denominator of 103/1632 and u? 8160 Calculate the smallest common multiple of 14*(0 - -27)*9*(-13)/(-27) and 21. 1638 Let t be ((-220)/475)/(4/(-10)). Let z = -916/627 + t. Find the common denominator of z and -62/9. 99 Let a(l) = 101*l + 4449. Calculate the least common multiple of 350 and a(-41). 7700 Let o = 6734997/116 + -58061. What is the common denominator of o and ((-6)/21)/((-16)/(-268))? 812 Suppose 10*d = -2*g + 9*d, -3*g + 4*d + 11 = 0. Find the common denominator of (-159)/11*1/(-15) and -1 + -1 + g - (-7467)/2565. 495 Suppose 7*f + 2*r - 54 = 3*f, 0 = -3*f - 5*r + 37. Suppose 67 = f*u - 213. Calculate the least common multiple of u and 60. 60 Let t = -1/49485612 + -2034592689775/148456836. Let i = 13701 + t. Find the common denominator of i and -8/87. 522 Let d = 593 + -596. Calculate the common denominator of 38/25 and d/(-5) + (-1395)/750. 50 Let b = -31 + 43. Suppose 11 = 5*x - 3*k, 2*x + 0*k - 5*k - b = 0. Suppose -h + 5 = x. Calculate the smallest common multiple of h and 51. 204 Suppose -4*r + 14 = -3*u + 2, -4*u + 22 = r. Let c = 54403/12 + -4521. What is the common denominator of (-3)/r*202/10 and c? 60 Let t(j) = -j - 7. Let p be t(-10). Suppose 3*y + 2 - 20 = p*l, -5*y + 12 = l. Calculate the smallest common multiple of 69 and y. 69 Find the common denominator of -11/621 and 2/3 + 23/(31050/(-925)). 1242 Let n = -29 + 26. What is the lowest common multiple of 23 and (-5 - -1*12) + n? 92 Let m(n) = -n**3 + 8*n**2 - 11*n - 9. Let v be m(6). Let z be (6/5)/((-4)/(-10)). What is the least common multiple of 22 and z + (5*v)/(-3)? 88 Suppose 0 = -318*y + 323*y - 1400. What is the common denominator of -151/12 and 3/12 - 7/(y/47)? 120 Suppose 36*t - 3*v - 4908 = 34*t, -t - 2*v + 2461 = 0. What is the least common multiple of t and 1053? 7371 Let c(m) = -2*m - 10. Let z be -5*(-4 + 2 - -1). Suppose -z*i - 12 = 18. Calculate the smallest common multiple of 3 and c(i). 6 Let r be (288/(-3))/(-4)*272/6. Calculate the least common multiple of 32 and (1/2)/(17/r). 32 Let r be (-56)/21*3/(-12)*6. Suppose 8*a = 28 + r. Calculate the least common multiple of 9 and a. 36 Let g be (-91)/(-1) - (4 - 3). Let k = 3 + 2. What is the lowest common multiple of k and 115*3/g - 2/(-12)? 20 Suppose r - 2*z = 42, 136*r - 156 = 132*r - 4*z. Calculate the smallest common multiple of 1436 and r. 14360 Calculate the lowest common multiple of 312 and (5304/(-170))/(3 + 132/(-40)). 312 Find the common denominator of 2/(-62)*(-68870)/14550 and 59/105. 3255 Let o(w) = -2*w - 1. Let j(m) = 12*m + 31. Let i be j(-4). Calculate the least common multiple of o(i) and 9. 99 Let j(i) = -i**3 + 6*i**2 + 9*i - 10. Let r be j(7). What is the least common multiple of 3/r - (-385)/20 and ((-2856)/(-18))/7 + 10/3 + -4? 220 Suppose 2*l - 283*m + 279*m = 1884, 4724 = 5*l + 4*m. What is the lowest common multiple of 1416 and l? 2832 Let x = -2/11 + 103/22. Let v be (-154)/((8/(-3))/(2290/75)). Let r = 1761 - v. Find the common denominator of x and r. 10 Let q(j) = 563*j - 1364. Calculate the least common multiple of 20 and q(3). 1300 Suppose 2*q - 5*f - 1305 = 0, 1945 = 6*q - 3*q - 5*f. What is the least common multiple of 160 and q? 640 Suppose 20*o = 23*o - 12. Suppose 14 = o*u + 3*u. What is the least common multiple of 7 and u? 14 Let z(h) = h**2 - 18*h - 20. Let r be z(24). Suppose -176 - r = 6*n. Let j = n - -65. Calculate the lowest common multiple of 12 and j. 60 Suppose 0 = -1190*a + 1215*a - 22750. What is the lowest common multiple of 78 and a? 2730 Find the common denominator of (195/(-16) - -12)*(-4 - -2) and 16/3779. 30232 Let q = 2478/90739 + -989524199/332830652. Let r = 35/131 + q. Find the common denominator of r and 44/198 - 433*(-3)/108. 28 Suppose -2*x - 680 = -3*h, -4*h = h - 5*x - 1125. Let s = -25738 - -25748. Calculate the least common multiple of h and s. 230 Let c be ((-479)/1442)/((-126)/147). Let d = 3/103 + c. Find the common denominator of 103/24 and d. 24 Let v(y) be the first derivative of -3*y**4/4 - 4*y**3/3 - 2*y**2 + 3. Let g be v(-2). What is the common denominator of (354/g)/((-9)/(-6)) and 49/8? 8 Let i = -1020 + 1032. What is the least common multiple of i and 123? 492 Let x = 211 - 204. Find the common denominator of 76/3 and (-2)/4 + x + (-2436)/216. 9 Find the common denominator of -95/36 and 2 - ((-17591)/(-6916) - 16/(-104)). 684 Let u = 720 - 28827/40. What is the common denominator of u and 107/960? 960 Let o(f) = -73*f**2 + 153*f + 1. What is the smallest common multiple of o(2) and 90? 90 Suppose -i = 4*i - 50. Let f(p) = -p**2 + 231*p - 11355. What is the smallest common multiple of f(160) and i? 10 What is the common denominator of (169/273)/13*132/160 and -61/56? 280 Let i = -1/17602 + -1232113/475254. Calculate the common denominator of -17/2985 and i. 26865 Let t = -157249/2299136 + 78/8981. Find the common denominator of t and -111/22. 19712 Let g = 1445 - 326. What is the least common multiple of g and 2? 2238 Let y be ((-41)/(-15))/(4/(-2935)*52824). Let a = y - 1/4402. What is the common denominator of a and 57/10? 1440 Let m be (-5)/(-3) - -2*1000/(-1092). Let p = -2099/3276 + m. What is the common denominator of -31/81 and p? 324 Let w = 7 - -643. What is the smallest common multiple of 9 and w? 5850 Let h = 56054 + -1681657/30. What is the common denominator of h and (-97)/(-50) + (-4)/(-10)? 150 Suppose 48*s - 5*h = 44*s + 229, -138 = -3*s - 3*h. Calculate the smallest common multiple of 2295 and s. 2295 Suppose 215 = -7*v + 47. What is the lowest common multiple of v/(-15) - 2/20*-4 and 6? 6 Let o(a) = 313*a + 3137. Calculate the least common multiple of o(-10) and 236/7 + (-2)/(-7). 238 Let g = 86 - 77. Let w = -37/117 - 9523/7254. Find the common denominator of (g*(-8)/(-32))/(-6) and w. 248 Let b be 20/15*(-189)/(-12). What is the common denominator of (1*6/b)/((-37)/(-851)) and -50/91? 91 Suppose -1281*r + 1280*r = -2*z - 6, 2*z = 5*r - 78. What is the least common multiple of r and 33744? 101232 Find the common denominator of 1 + 2392/(-207920)*710/8 and -19/9. 8136 Let b(j) = -409*j - 2337. What is the lowest common multiple of 54 and b(-6)? 702 Let q = -8397 + 167953/20. Calculate the common denominator of (63/6)/(2*3) and q. 20 Let r = -9879 - -138409/14. Calculate the common denominator of -1/112 and r. 112 Let t = 8439 - 8343. Calculate the lowest common multiple of 4 and t. 96 Suppose -5*b - 4*s = 62, 6*s + 26 = -2*b + 5*s. What is the smallest common multiple of ((-139)/(-7))/((-2)/b) and 8? 1112 Let h be (-2 + 3 - 1) + -2 + 7. Suppose 5 + h = 5*v. Calculate the smallest common multiple of v and 11/5 - (-28)/35. 6 Let t = 15 - -12. Let f(w) = -w**2 - 4*w - 2. Let u be f(-3). What is the least common multiple of t and 9 - -25 - (u - 0)? 297 Let d = 711813 - 1161678853/1632. Calculate the common denominator of -17/108 and d. 14688 Let x = 4461 - 4205. Calculate the lowest common multiple of x and 304. 4864 Suppose -l + 8052 = 5*k, -287*k - 2*l = -286*k - 1614. Calculate the lowest common multiple of 70 and k. 1610 Let u be 6 + -7 + 3/((-161028)/(-53715)). Let t = 9097913/232596 + u. Let v = -4607/156 + t. Calculate the common denominator of 82/21 and v. 84 Let c be -3 + (-12299)/(((-8)/14)/(-4)). Let w = 6715645/78 + c. Calculate the common denominator of w and 51/8. 312 Suppose 0 = -5*h - 4*o + 42, -4*o + 1 + 1 = h. Suppose -103 = -z - h*l + 8*l, 2*l = -4*z + 382. What is the least common multiple of z and 3? 93 Let n(q) = -111*q**2 + 15*q - 3. Let d be n(-5). Let c = -42752/15 - d. Let v = -5009 + 90091/18. Calculate the common denominator of c and v. 90 Let n be 1/6 - (3/18 - 0). Suppose 0 = -n*g + g - 1, g = -3*p + 7. Suppose -p*f + 23 = -27. What is the least common multiple of 30 and f? 150
What is the least common multiple of 1620428 and 198? 160422372 Calculate the common denominator of 73/4351395 and 13/24603. 256732305 Calculate the least common multiple of 3107260 and 3990. 65252460 What is the smallest common multiple of 34571 and 650695? 124282745 Find the common denominator of -185/68544 and 121/11016. 616896 Find the common denominator of 38/208661833 and -55/296. 1669294664 Calculate the least common multiple of 2538 and 1720764. 1720764 What is the least common multiple of 5717578 and 310? 28587890 Calculate the common denominator of -65/267468 and 15/9347. 3477084 What is the lowest common multiple of 1946 and 88976958? 88976958 Calculate the common denominator of 68/851337 and -89/762. 216239598 What is the smallest common multiple of 20448 and 1149336? 326411424 What is the smallest common multiple of 229830 and 1603170? 261316710 What is the lowest common multiple of 159720 and 14641? 1756920 Calculate the common denominator of -197/3241920 and 161/5280. 3241920 Find the common denominator of 65/44 and -9/574058084. 6314638924 What is the lowest common multiple of 19890 and 1989? 19890 What is the common denominator of 20/423 and -49/29031? 4093371 Calculate the least common multiple of 218387612 and 4. 218387612 Find the common denominator of -31/9275 and -79/8614620. 43073100 Calculate the common denominator of 11/1816908 and -61/25404. 132634284 What is the common denominator of 46/29113 and 24/30527? 126961793 Find the common denominator of 59/343 and -36/2983. 1023169 Calculate the common denominator of 7/80 and 113/774432. 3872160 What is the lowest common multiple of 270650 and 97055090? 485275450 What is the least common multiple of 335995 and 14751? 3023955 Calculate the least common multiple of 396 and 2546496. 28011456 What is the common denominator of -107/8884080 and -107/361944? 97724880 What is the common denominator of -13/836 and -7/61210? 25585780 What is the smallest common multiple of 32730 and 414263610? 414263610 What is the smallest common multiple of 354 and 514788? 30372492 What is the least common multiple of 65471278 and 27910? 327356390 What is the smallest common multiple of 6764700 and 12? 6764700 Calculate the common denominator of 143/12065424 and -5/3374. 12065424 What is the least common multiple of 56976 and 1068300? 4273200 Calculate the least common multiple of 26933964 and 14204. 1804575588 Find the common denominator of 27/250 and -57/2823625. 5647250 Calculate the common denominator of 109/6300 and -107/187110. 1871100 Calculate the common denominator of -23/12980110 and 115/2288. 103840880 Calculate the least common multiple of 140 and 153365058. 1533650580 Find the common denominator of -107/141771882 and -67/420. 1417718820 Calculate the lowest common multiple of 220 and 4196. 230780 What is the common denominator of 69/2013050 and 43/3575? 22143550 Calculate the common denominator of -17/1408698 and 77/456. 5634792 What is the smallest common multiple of 588 and 14894376? 104260632 Calculate the smallest common multiple of 6176634 and 21618219. 43236438 Calculate the smallest common multiple of 2788 and 1540. 1073380 Calculate the lowest common multiple of 3918 and 3377316. 3377316 Calculate the least common multiple of 362599370 and 1449. 3263394330 Calculate the common denominator of 79/22 and 167/9893058. 108823638 Calculate the least common multiple of 431885 and 1209278. 6046390 What is the common denominator of -155/22333038 and 155/12761736? 89332152 What is the lowest common multiple of 14818 and 731166? 174748674 Calculate the common denominator of -19/402 and -7/1900924. 5702772 What is the common denominator of -61/44505 and -12/3128207? 140769315 Find the common denominator of 191/2465370 and -73/30269265. 544846770 Find the common denominator of 65/599746 and 55/171356. 1199492 Calculate the common denominator of -109/548118 and -7/851805. 63033570 Calculate the common denominator of -155/34022064 and -89/11256. 238154448 Calculate the common denominator of -21/297020630 and -37/356424756. 1782123780 What is the common denominator of 119/915860 and 43/166870? 1389359620 Calculate the least common multiple of 201525741 and 11. 2216783151 What is the common denominator of 65/8408 and -71/12? 25224 What is the least common multiple of 2035921 and 702663? 79400919 Calculate the least common multiple of 48894 and 78118. 6796266 Calculate the common denominator of 25/1754 and 99/2076172. 1820802844 What is the common denominator of 38/7755 and -7/438230? 679694730 Find the common denominator of -119/795950 and 11/285. 45369150 Find the common denominator of -67/5415 and 73/9275. 10044825 Calculate the smallest common multiple of 153230548 and 580. 766152740 Calculate the least common multiple of 301400 and 2192. 602800 What is the common denominator of 47/4156228 and -65/5989858? 203655172 What is the smallest common multiple of 1736040 and 752284? 22568520 Calculate the common denominator of -31/3192296 and 20/67761. 28730664 Find the common denominator of -157/2808450 and -49/6525. 81445050 Calculate the lowest common multiple of 133588385 and 8. 1068707080 What is the lowest common multiple of 67065 and 250902? 21326670 What is the common denominator of 15/304 and 35/265088? 265088 What is the common denominator of -1/60683026 and -79/6? 182049078 What is the lowest common multiple of 21761 and 14? 304654 What is the common denominator of 38/36675 and 61/340362? 1386975150 What is the common denominator of -59/270 and 107/24135700? 651663900 Calculate the smallest common multiple of 1465977 and 3948893. 438327123 What is the common denominator of -83/503790 and -17/273486? 9572010 Calculate the common denominator of -57/1524122 and -14/3810305. 7620610 Calculate the smallest common multiple of 22895107 and 9. 206055963 What is the lowest common multiple of 102105708 and 272281888? 816845664 Calculate the least common multiple of 704 and 15840. 31680 Calculate the least common multiple of 29900 and 599472. 194828400 What is the common denominator of -47/299304 and 35/42324? 1055645208 What is the smallest common multiple of 305415 and 2037951? 112087305 What is the lowest common multiple of 31514520 and 54625168? 819377520 What is the lowest common multiple of 31464 and 39156948? 78313896 Find the common denominator of -41/24 and 149/690636. 1381272 Calculate the lowest common multiple of 186803738 and 101892948. 1120822428 Calculate the common denominator of 185/838698 and -25/838698. 838698 What is the lowest common multiple of 488638 and 24544? 101636704 Calculate the common denominator of -45/626631712 and -29/32. 626631712 Calculate the least common multiple of 58907088 and 88290. 294535440 What is the lowest common multiple of 11 and 139163105? 1530794155 Find the common denominator of -94/108896073 and -19/9438. 2395713606 Find the common denominator of -11/168 and -53/160467. 8986152 What is the least common multiple of 7228900 and 175? 7228900 What is the common denominator of -67/1114542 and -167/1457478? 18947214 Calculate the common denominator of 133/7020 and 1/7748. 1045980 What is the smallest common multiple of 14263585 and 22895? 14263585 What is the least common multiple of 21508 and 91692? 1742148 Calculate the common denominator of -26/33036129 and 117/28. 132144516 What is the least common multiple of 160 and 25861232? 258612320 Calculate the common denominator of 93/25052444 and -69/313155550. 626311100 What is the least common multiple of 3717 and 27363? 4843251 Calculate the least common multiple of 380 and 108704. 10326880 What is the lowest common multiple of 34979450 and 146913690? 734568450 Calculate the smallest common multiple of 62922920 and 83526. 188768760 Find the common denominator of 37/360 and -67/2381070. 28572840 Find the common denominator of 113/12 and -87/44930920. 134792760 Calculate the common denominator of 107/7400 and -1/2359712. 58992800 What is the common denominator of 5/87376 and -37/36192? 197644512 Calculate the smallest common multiple of 96945 and 2360400. 54289200 What is the common denominator of 29/25560982 and 87/16? 204487856 What is the common denominator of 67/45916983 and -55/162? 275501898 Calculate the lowest common multiple of 2684787 and 3633. 2684787 Calculate the lowest common multiple of 2148 and 1061436. 189997044 Calculate the common denominator of -17/1397650 and -157/3354360. 16771800 Calculate the common denominator of -127/41196066 and 37/29. 41196066
Let m(k) = k + 2 - 2*k + 11 + 2. Let s be m(14). Solve -2*f = 3*f + v + 13, f = v + s for f. -2 Let y(k) = k**3 - 6*k**2 + 4*k - 9. Let h be y(6). Suppose 10*j = h*j. Suppose -o + 8 = -j. Solve -2*w - 3*d + 2 + o = 0, 2*d - 10 = -2*w for w. 5 Let f = -26 - -14. Let p = 12 + f. Solve 4*a - 18 = g, 4*a - 3*a - 5*g - 14 = p for a. 4 Let c = 15 + -9. Suppose 4*j - 5*d = 32, -2*d - 20 = -2*j - 2*j. Solve j*s = -3*o + c, o - s = s - 13 for o. -3 Let a = -200 + 202. Solve 3*q + 14 = a*s, -5*s + 0*q + 3*q = -26 for s. 4 Let i = 279 - 276. Solve -3*r = -7 - 8, i*n - 2*r + 10 = 0 for n. 0 Let d = 218 - 215. Solve 3*v = 9*r - 11*r - 13, -d*r + 9 = -5*v for v. -3 Suppose 5*f = -o + 5*o - 46, 0 = -2*f + o - 16. Suppose 16 = d - 0*v - 4*v, v = -5*d - 25. Let h = d - f. Solve -6*m + 3*m + 2 = h*j, -j + 14 = -5*m for j. 4 Let p be 2 + (0 - (-1 + 3)). Suppose -y + 15 = 2*y, -f + y = p. Solve -4*s + z + 17 = 0, f*s - z = 22 - 1 for s. 4 Suppose 5*o = -2*a + 7 + 1, 4*o - 34 = 3*a. Let i be ((-12)/10)/(a/10). Solve -i*d = -2, -4*y + 2*d + 1 = -d for y. 1 Let s(i) = -9*i + 3. Let x be s(-3). Suppose x*n - 27*n = 0. Suppose -2*r = -0*v - 3*v - 15, -3*r + 10 = -2*v. Solve n = -r*h + h - 5*t, -2*t = 5*h for h. 0 Let o(f) = -f**3 + 2*f**2 + f + 2. Suppose -1 + 4 = -3*s + 3*p, -4 = -5*s - 4*p. Let x be o(s). Solve -i - 2 = l, -x*i = 5*l + 1 + 3 for i. -2 Let t be 2 - (4 - 4) - 2. Suppose t = -2*s + 10*s - 32. Solve -3*z + 2*r - 13 = 0, 3 + s = -2*z + r for z. -1 Let o = -44 - -52. Solve -8 = -4*h - 2*x, -5*h + x = -3*h - o for h. 3 Suppose 0 = -5*o + 5*c - 30, 2*c + 1 - 17 = 3*o. Let v be 12/(-15)*10/o. Let i be 374/51 - 6 - (-2)/3. Solve 5*j + 11 = -v*d - 2, i*d = 3*j - 5 for j. -1 Let t(v) = -v**3 + 10*v**2 + 13*v - 4. Let s be t(11). Let o = -13 + s. Solve -5*z + 3*l = 22, 4*l = -2*z + o*l - 8 for z. -2 Let b = 4 - 8. Let x be b/(2/(-6) + -1). Let m be x/(-12)*-2*2. Solve 0 = -q + 2*o - m, 4*q + 0*q = -5*o - 17 for q. -3 Let b(r) = r**3 + r**2 + 5. Let q be b(0). Let a(s) = s**2 - 2*s + 3. Let x be a(0). Suppose -x*k = -2*k - 20. Solve q*j = -0*t - t - 4, -3*j = 5*t + k for t. -4 Let x = -578 - -582. Solve -z + 4*m = -15, x*z - 2*m + 3*m + 8 = 0 for z. -1 Let t be 4 + 575/35 - (-3)/(-7). Let q = 4 + -2. Solve q = -4*d + 3*y + 18, -2*y = 5*d - t for d. 4 Suppose -z + 2 = 0, -5*k - z + 33 = -14. Solve -a - 4*g = -k, 4*a - 2*g - 19 = -1 for a. 5 Let p be (1/(-2))/(-1)*(21 - 45). Let l = 15 + p. Solve m + l*m = 16, 8 = 4*s - 2*m for s. 4 Suppose 2*n = 5*x - 3*n - 50, 4*n = -5*x + 5. Solve 19 = 2*h + h - 2*f, 2*f = -x*h + 5 for h. 3 Suppose 5*c = -4*a + 59, 0 = -4*c - 0*c + 3*a + 41. Let b = c + 8. Solve -4*r - b = 3*z, 3*z = r + r - 13 for r. -1 Let a be 3105/46 + 6/(-4). Let z = -62 + a. Solve -z*r = -l - 14, 5*l + 4*r - 34 + 8 = 0 for l. 2 Let t be (-2)/4*(94 + 2)/(-12). Suppose 3*y + 11 = m - 3*m, 0 = -4*m - 5*y - 17. Solve -2*l = -6*l + m*r - 2, -5*r = t*l + 9 for l. -1 Let o(r) = -2*r + 2. Let u be o(-2). Let f = 48 - 3. Let p = f - 41. Solve -10 = 5*z + 2*d, -p*d = 3*z + d + u for z. -2 Suppose 0 = g - 4, 5*v + 11*g - 24 = 10*g. Solve -2*s = -5*a - s - 10, -3*s = -2*a - v for a. -2 Suppose 2*t + 3*y = 9, 0 = 2*t - 3*y - 2*y - 1. Suppose -k - k + 4 = 0, -3*s = 5*k - 19. Solve o - t*o = 2*d - 18, 0 = s*o + d - 19 for o. 5 Suppose 6*k + 3 = -9. Let m be 2/((k + 3)/2). Solve u + 3*l + 7 = 0, -2*u + 4*l = -0*l + m for u. -4 Let x be (-7)/14*-3 - 3/(-2). Let r be 5 + ((-1)/(-5 - -4) - x). Solve 5*j = -0*j - r*d - 11, -3*j + 2*d + 1 = 0 for j. -1 Let u(q) = q + 18. Let d be u(-8). Let g be 6/(-4) - (-75)/d. Suppose -3*f + g*f = 36. Solve 6*s - f = 2*s, 0 = -2*b + s - 5 for b. -1 Suppose -14*h + 13*h + 2 = 0. Let w(j) = -5*j + h*j - 4 + j. Let o be w(-5). Solve -t = -4 + o, k = -2*t - 3 for k. 1 Let h(j) = -18*j - 54. Let y be h(-3). Solve -2*v - 5*f - 9 = y, -3*f = f + 12 for v. 3 Let h = -1412 - -1416. Solve -3*c + 5*c - 13 = 3*z, h*z = 4*c - 20 for z. -3 Suppose -5*t - 44 = -14. Let m be -6*t/(-12) - (1 + -4). Solve q = -5*y + 21, -4*y = -m*q + q - 16 for y. 5 Let v be ((-14)/(-1)*-1)/(5 - 6). Suppose 0 = -5*r - 2*w + 4*w + 2, -5*r - w + v = 0. Solve -2*x + 0 - r = -4*l, 4*l - 5 = 3*x for l. -1 Let o = -8 + 11. Let w be ((-30)/12)/((-2)/4). Suppose 3*s = -w*g + 54, -5 - 34 = -3*g - 4*s. Solve -l + o*l = -h - g, -h = 3*l + 11 for h. -5 Let x be (-1)/2*36/(-3). Let m be (303/(-1 + -2))/1. Let d = 106 + m. Solve 5*s - 3*w = 37, -w = -d*s + x + 23 for s. 5 Suppose 13*z - 63 = 4*z. Solve -x + 7 = 5*f, x + z = 2*f - 0*f for f. 2 Let j = 34 + -32. Solve -q - 13 = -3*h - j, 2*h - 14 = 2*q for h. 2 Let x(o) = -7*o - 1. Let u be x(-5). Suppose -c + u = c. Solve -5*y + 5 = 2*l, 2*y - 2*l = l - c for y. -1 Suppose 2*h + 2 = 32. Let r = 17 - h. Let q be ((1 - 1)/(-1))/(-1). Solve -a = r*m - 12, q*m + a + 3 = m for m. 5 Let p = -24 + 30. Suppose 0 = -2*v + w + 31, 74 = p*v - 2*v + 2*w. Solve 2*s = -5*b - v, 5*s + 28 = -4*b + 11 for b. -3 Suppose -326 = -3*m + 2*q + 2*q, -m = q - 111. Let y = m + -108. Solve y = 4*t - 2*u, 3*t - 2*u = 4 - 3 for t. 1 Suppose 23 = 3*a + 86. Let j be 8/28 - (-384)/a. Let n be j/(-1 + -1) - 3. Solve x + 0*w = 3*w - n, 3*w - 15 = -2*x for x. 3 Suppose 0 = g - 2 - 7. Let v(f) be the first derivative of f**3/3 - 5*f**2 + 11*f + 13. Let y be v(g). Solve 0 = -l - s + y, -4*l - 4*s = l - 9 for l. 1 Suppose 28 + 8 = -4*m. Let i = 11 + m. Suppose 0 = -2*a - 2*a. Solve b = i*f - 2, a = f - b - 1 for f. 1 Let q = -8 - -14. Let c be q/(-27) + 94/18. Suppose -2*z + 3*i + c + 4 = 0, 4*i = -12. Solve z = x + 3*l - 16, -2*x + 20 = l + 2*l for x. 4 Suppose -3*p - 3*q = -108, -7*p + 5*p + 81 = 5*q. Solve 9*v - 4*v + 5*o - 45 = 0, 5*v - p = -2*o for v. 5 Let d(m) = -m**2 - 15*m - 54. Let w be d(-8). Solve -2 = w*f, -f + 5*f - 11 = 5*i for i. -3 Let p = 353 + -350. Solve -3*h + p*m - 21 = 0, -h = -6*m + 2*m + 16 for h. -4 Suppose 196 = -3*y + 10*y. Let r = y + -25. Solve -5*q = p - 16, -3*q - p - 4 = r*p for q. 4 Let w be (5/15)/(2/12). Let t = -54 + 57. Solve -4*a = t*h - 5 + 1, -5*a = 2*h + w for a. -2 Let y(h) = h**2 + 18*h - 239. Let b be y(9). Solve 2*d + 3*d = -5*k, -10 = k - b*d for k. -2 Let d = 25 - 25. Suppose 5*h - t - 6 = d, -7*t + 8 = -4*h - 3*t. Solve -16 = -2*j + 2*i, 4 + 16 = 3*j - h*i for j. 4 Let b(s) be the first derivative of 19*s**2/2 + s - 1. Let o be b(1). Let g(a) = -2*a. Let r be g(-1). Solve -4*j - r = -2*q, 2*q + j - o = -4*j for q. 5 Let m(t) = -2*t**2 + 29*t - 14. Let f be m(14). Solve -d + 3 = f, -9 = -2*q - 3*d - 2*d for q. -3 Suppose 12*a - 153 - 3 = 0. Let x = 26 + -17. Solve x = 5*u + 24, -4*u = -l + a for l. 1 Let f(n) = -7*n - 2. Suppose 0 = 2*x, -4*m + 3*x - 20 = -9*m. Suppose m*j - 2 + 6 = 0. Let l be f(j). Solve -8 = -l*c + 2*h + 15, 2*c - 4*h - 22 = 0 for c. 3 Let q be (0/1)/((-2)/2). Suppose -4*v + 0*v = q. Let y be 4/2*10/4. Solve 0 = -3*o - 0*w + y*w - 30, v = -2*o - w - 7 for o. -5 Suppose 20*b - 41 = 59. Solve -b*m = -4*c - 1, 1 + 10 = -m - 2*c for m. -3 Let r(p) = 22*p - 238. Let i be r(11). Solve -i*o = -3*x - 21, -5 - 16 = -2*o + 5*x for o. 3 Let i(s) = 2*s**2 + 14*s - 59. Let k be i(-10). Solve -4*l = 3*u + k, 5*u = 5*l + 7 - 32 for l. 2 Suppose -y = -4*l + 133, -l + 13 = -5*y - 6. Let c = l - 24. Suppose -p = 4*z + 14, 0*z + 2*z - 14 = -4*p. Solve j + 11 = -4*x - p, x - c = -5*j for x. -5 Suppose -18 = -4*n + 6. Suppose -8*v + 10*v = n. Solve -15 = v*o + 2*w, -o + 5*o + 5*w = -20 for o. -5 Let y = 145 - 132. Solve 5*k - y = 3*g, 2*g + 2*k = k for g. -1 Let r(m) = -m + 9. Let u be r(7). Suppose -2 = u*h - 0, -q - h - 1 = 0. Solve q = j + g + 3*g - 16, 5*j - 26 = -2*g for j. 4 Let s be 0*(7/(-21))/(2/(-3)). Suppose -15 = 3*b - 0*b. Let p = b - -9. Solve s = -3*k + 4*r - p, 2 = 3*r - 1 for k. 0 Let z be 2/((-9)/(-144)*4). Suppose -6*u = -3*u - 9. Let g be (-12)/(-2)*u/2. Solve -4*x + r = 21, -z*r + 4*r + g = -x for x. -5 Let p(k) = k**2 - 1. Let s = -6 - -12. Let z be (-7)/(-21) + (-8)/s. Let f be p(z). Solve -5*n - 5*o = -4*o - 6, -n - 4*o - 14 = f for n. 2 Let o(t) = t**2 + 5*t - 5. Suppose 2*q + u + 1 = 4*u, 3*q = u - 12. Let j be o(q). Let r = j - -7. Solve r*l = -5*p - 2 + 13, 2*p + 10 = 4*l for p. 1 Let g be (-6)/(-15) - (-69)/15. Suppose 4 = -q + 2*i - 1, 3*q - 4*i = -g. Solve r = -5*t + 15, q*t + 4 + 1 = 3*r for t. 2 Let j(t) = t**3 - t**2 + 4*t - 10. Let y be j(2). Solve 12 = -y*u - 4*z - 4, -z - 9 = 3*u for u. -2 Let r be (-885)/(-35) - (6 + (-40)/7). Solve 2*u + 4 = 0, -r = -3*i - 2*u + 7*u for i. 5
Four letters picked without replacement from {v: 1, e: 4, i: 2, a: 3, c: 1}. What is prob of sequence ecva? 1/660 What is prob of sequence eel when three letters picked without replacement from {l: 4, e: 2}? 1/15 Four letters picked without replacement from kvkktkkkvggg. What is prob of sequence kvgk? 1/66 Three letters picked without replacement from gnppnpggkntnn. What is prob of sequence tkg? 1/572 Three letters picked without replacement from {g: 1, d: 1, s: 3}. Give prob of sequence ddd. 0 Calculate prob of sequence mwq when three letters picked without replacement from {h: 3, q: 2, w: 5, m: 5}. 5/273 What is prob of sequence zzzx when four letters picked without replacement from {x: 4, z: 3}? 1/35 Three letters picked without replacement from lpl. Give prob of sequence pll. 1/3 Two letters picked without replacement from wwwwwkwckkickwco. Give prob of sequence ik. 1/60 Calculate prob of sequence xx when two letters picked without replacement from {v: 15, x: 5}. 1/19 Four letters picked without replacement from {t: 5, p: 11}. Give prob of sequence tptp. 55/1092 Three letters picked without replacement from {a: 1, h: 3, r: 3, c: 1, g: 2}. Give prob of sequence hhr. 1/40 What is prob of sequence ddvd when four letters picked without replacement from {v: 3, d: 7, l: 4}? 15/572 Two letters picked without replacement from sssslsslslsssslsssls. Give prob of sequence sl. 15/76 Calculate prob of sequence fe when two letters picked without replacement from efffeezfeffzzfeefv. 8/51 What is prob of sequence mf when two letters picked without replacement from {i: 1, x: 2, v: 2, z: 7, m: 2, f: 1}? 1/105 What is prob of sequence jkp when three letters picked without replacement from {t: 1, j: 2, a: 1, p: 3, k: 2, v: 6}? 2/455 Three letters picked without replacement from ejlwz. What is prob of sequence wlz? 1/60 What is prob of sequence qxwa when four letters picked without replacement from {q: 2, w: 3, a: 1, x: 1}? 1/140 Four letters picked without replacement from khiohqhqdkdkkdqdkk. What is prob of sequence doid? 1/6120 Calculate prob of sequence csv when three letters picked without replacement from {s: 1, b: 6, c: 4, v: 4}. 8/1365 Three letters picked without replacement from {x: 4, e: 6}. What is prob of sequence exe? 1/6 What is prob of sequence ff when two letters picked without replacement from byxqfyyfxx? 1/45 Two letters picked without replacement from {o: 4, n: 4, p: 2, e: 2, g: 8}. Give prob of sequence pp. 1/190 Calculate prob of sequence quu when three letters picked without replacement from qqququuquqqu. 7/66 Three letters picked without replacement from {l: 2, v: 1, i: 1, o: 3, d: 3}. What is prob of sequence liv? 1/360 Two letters picked without replacement from {g: 2, h: 4, n: 2, a: 5, b: 1}. Give prob of sequence hn. 4/91 Three letters picked without replacement from {h: 6, x: 4}. Give prob of sequence hxh. 1/6 Four letters picked without replacement from {w: 4, u: 3, a: 9, c: 2}. Give prob of sequence uauc. 1/680 Two letters picked without replacement from {z: 3, c: 9}. Give prob of sequence cc. 6/11 What is prob of sequence kkhk when four letters picked without replacement from kkkkhkdkk? 5/72 What is prob of sequence zya when three letters picked without replacement from ayzeysayssiazszzyzz? 4/323 Four letters picked without replacement from {z: 4, n: 10}. What is prob of sequence nznn? 120/1001 Calculate prob of sequence ss when two letters picked without replacement from {s: 4, h: 6}. 2/15 Three letters picked without replacement from wggcjggwuwugglwjwgul. What is prob of sequence uug? 7/1140 Two letters picked without replacement from zvzmmpz. Give prob of sequence mv. 1/21 Calculate prob of sequence wwyi when four letters picked without replacement from wunnwdnuwyuuiwwwnd. 1/2448 Three letters picked without replacement from {f: 6, l: 6}. Give prob of sequence fll. 3/22 What is prob of sequence dcjz when four letters picked without replacement from {c: 4, j: 1, d: 2, z: 8}? 8/4095 Calculate prob of sequence wd when two letters picked without replacement from {m: 1, d: 1, i: 2, w: 2}. 1/15 What is prob of sequence ddmm when four letters picked without replacement from mmdmmmdddmmmd? 28/429 Calculate prob of sequence vv when two letters picked without replacement from vnnvvnnvnnnvnvnnmm. 5/51 Calculate prob of sequence tne when three letters picked without replacement from tntkktkfnkekkktf. 1/420 What is prob of sequence pmp when three letters picked without replacement from {p: 17, m: 1}? 1/18 Two letters picked without replacement from {w: 6, i: 7, q: 6}. Give prob of sequence wq. 2/19 Four letters picked without replacement from trwttzztiddw. Give prob of sequence wzrz. 1/2970 What is prob of sequence lvlg when four letters picked without replacement from zglzzlzzvvzz? 1/2970 Calculate prob of sequence ggg when three letters picked without replacement from {g: 5, f: 15}. 1/114 Calculate prob of sequence lt when two letters picked without replacement from {p: 1, l: 5, d: 4, t: 5}. 5/42 Two letters picked without replacement from dkkkddggkdkggddd. What is prob of sequence dk? 7/48 What is prob of sequence go when two letters picked without replacement from {o: 5, h: 3, g: 3}? 3/22 What is prob of sequence yt when two letters picked without replacement from xoybtzyt? 1/14 Two letters picked without replacement from {s: 1, f: 2, d: 1, y: 1}. What is prob of sequence sd? 1/20 Three letters picked without replacement from ddvdswsdodwwoowwd. What is prob of sequence sdo? 3/340 Calculate prob of sequence ee when two letters picked without replacement from eveeeeeeeeeeeeeeee. 8/9 Four letters picked without replacement from jobbqbf. Give prob of sequence jbbq. 1/140 Three letters picked without replacement from {j: 1, i: 1, m: 3}. What is prob of sequence imm? 1/10 Calculate prob of sequence ntb when three letters picked without replacement from bxtbtnxbbbjnxbbbb. 3/340 Three letters picked without replacement from {y: 2, i: 6}. Give prob of sequence yyi. 1/28 Two letters picked without replacement from cdcdcededdcece. Give prob of sequence ec. 10/91 What is prob of sequence zdv when three letters picked without replacement from {e: 3, v: 5, d: 2, q: 6, z: 2}? 5/1224 Calculate prob of sequence qr when two letters picked without replacement from {r: 1, q: 4, h: 2, i: 3}. 2/45 What is prob of sequence ppi when three letters picked without replacement from ipiiiipiiiipiiiiiipi? 8/285 What is prob of sequence dd when two letters picked without replacement from hdhghduh? 1/28 Calculate prob of sequence uuyt when four letters picked without replacement from uyhtu. 1/60 Calculate prob of sequence ky when two letters picked without replacement from {k: 4, a: 3, y: 1}. 1/14 What is prob of sequence rpo when three letters picked without replacement from {o: 3, y: 1, r: 2, p: 1}? 1/35 Calculate prob of sequence ssd when three letters picked without replacement from dddddddddsdddsds. 13/560 Calculate prob of sequence tt when two letters picked without replacement from {r: 1, w: 1, p: 4, m: 8, t: 3}. 3/136 Three letters picked without replacement from {c: 3, g: 13}. What is prob of sequence cgc? 13/560 Calculate prob of sequence dll when three letters picked without replacement from {y: 2, l: 6, z: 1, d: 3}. 3/44 Three letters picked without replacement from opropprrrrrprorp. What is prob of sequence rpp? 1/21 Two letters picked without replacement from {c: 2, o: 2, s: 1, a: 1, f: 1, h: 1}. Give prob of sequence ch. 1/28 What is prob of sequence se when two letters picked without replacement from seeimxmeexm? 2/55 Two letters picked without replacement from {e: 7, y: 1, i: 6, v: 1}. Give prob of sequence yv. 1/210 Four letters picked without replacement from {o: 4, q: 2, b: 2, u: 7, t: 5}. What is prob of sequence uqtu? 7/1938 What is prob of sequence vys when three letters picked without replacement from {y: 2, s: 1, g: 1, v: 2, t: 1, x: 1}? 1/84 What is prob of sequence awww when four letters picked without replacement from nxwwwwnwawxwxwwwx? 3/238 What is prob of sequence et when two letters picked without replacement from {z: 5, w: 4, e: 3, c: 1, i: 1, t: 3}? 9/272 Calculate prob of sequence hojh when four letters picked without replacement from hjhojohhhvhhhhhy. 3/364 Two letters picked without replacement from nsnsnnnsarnnt. What is prob of sequence ar? 1/156 What is prob of sequence dd when two letters picked without replacement from uuuududduduuudduudu? 7/57
Round -947616045 to the nearest 1000000. -948000000 What is 8936064.599 rounded to the nearest 1000000? 9000000 What is 3870542.17 rounded to the nearest 100? 3870500 Round 3828.1008 to the nearest integer. 3828 What is -2.3589421 rounded to zero decimal places? -2 Round -0.0000202290948 to six decimal places. -0.00002 Round 0.01076498 to 2 dps. 0.01 What is -389337.572 rounded to the nearest 10000? -390000 What is 0.000244312794 rounded to six decimal places? 0.000244 Round 49.4053448 to the nearest integer. 49 What is 2170241.598 rounded to the nearest 100000? 2200000 Round 2990.00548 to the nearest 100. 3000 What is -0.14365869 rounded to one decimal place? -0.1 Round -0.0306896194 to 3 dps. -0.031 What is -16740997 rounded to the nearest 100000? -16700000 What is -29.745029 rounded to one dp? -29.7 What is -830099.2 rounded to the nearest one hundred? -830100 What is 0.000080921543 rounded to 6 decimal places? 0.000081 Round -42.9904234 to two dps. -42.99 What is 1633349708 rounded to the nearest 100000? 1633300000 Round -7299604.3 to the nearest 1000. -7300000 What is 0.0003168187943 rounded to 6 decimal places? 0.000317 What is -3537518770 rounded to the nearest one hundred thousand? -3537500000 What is -77572.104 rounded to the nearest ten? -77570 Round 1392780846 to the nearest 100000. 1392800000 Round -0.00055142893 to 6 decimal places. -0.000551 Round 334390.072 to the nearest 100. 334400 What is -0.00695951147 rounded to seven dps? -0.0069595 What is -0.000049628494 rounded to 6 dps? -0.00005 Round -0.055233529 to five dps. -0.05523 Round 1199383.91 to the nearest 1000. 1199000 What is -0.000652643023 rounded to four decimal places? -0.0007 Round -41687748.3 to the nearest one hundred thousand. -41700000 What is -699.03626 rounded to the nearest 100? -700 What is -26953.5039 rounded to the nearest integer? -26954 What is 0.51712434 rounded to one decimal place? 0.5 What is 16598867.7 rounded to the nearest 100000? 16600000 Round -2.98111671 to one decimal place. -3 What is -5173220.7 rounded to the nearest one million? -5000000 What is -25135489.66 rounded to the nearest ten thousand? -25140000 What is -3105.0701 rounded to the nearest integer? -3105 What is 0.00017255197 rounded to seven decimal places? 0.0001726 Round 517911.47 to the nearest 1000. 518000 What is 13968.592 rounded to the nearest ten thousand? 10000 Round 120.8855737 to 2 decimal places. 120.89 Round 1370218.6681 to the nearest 100. 1370200 What is -52357.92 rounded to the nearest one thousand? -52000 Round -3205649.11 to the nearest one hundred. -3205600 Round -2573.341 to the nearest ten. -2570 What is -15150.7008 rounded to the nearest one hundred? -15200 Round -566.2231431 to zero decimal places. -566 Round -1088179.5 to the nearest 1000. -1088000 Round -322961.5663 to the nearest one hundred. -323000 What is 30.54869342 rounded to 0 dps? 31 Round 0.00000636626367 to seven dps. 0.0000064 Round -0.000771273567 to six dps. -0.000771 What is 95351.55 rounded to the nearest ten? 95350 Round 0.00000052753688 to 7 dps. 0.0000005 Round -46.1753328 to one dp. -46.2 Round 0.01979581778 to four decimal places. 0.0198 Round 69274.418 to the nearest one thousand. 69000 Round 891.67488 to one dp. 891.7 What is -2682592.835 rounded to the nearest 1000? -2683000 Round -0.0770521 to the nearest integer. 0 Round 86.7106 to the nearest integer. 87 What is 1.29267918 rounded to one dp? 1.3 What is 192702.28537 rounded to the nearest 100? 192700 What is -40799.7143 rounded to 0 decimal places? -40800 Round -2995050860 to the nearest 1000000. -2995000000 Round 0.000092056926 to seven dps. 0.0000921 What is -2665.99062 rounded to the nearest 100? -2700 What is 0.00162518734 rounded to 5 decimal places? 0.00163 What is 0.936830545 rounded to one decimal place? 0.9 Round 129.20669 to 1 decimal place. 129.2 Round -1408623527 to the nearest 100000. -1408600000 Round 0.04141814 to 1 dp. 0 Round -142853.6111 to the nearest 10. -142850 Round 35167412.21 to the nearest 100000. 35200000 What is -23.65500729 rounded to 1 decimal place? -23.7 What is -153215618 rounded to the nearest one hundred thousand? -153200000 What is -0.4061285581 rounded to five dps? -0.40613 Round -1.03907697 to 2 decimal places. -1.04 Round 33496.435 to the nearest 10000. 30000 What is -151.93139315 rounded to one dp? -151.9 Round 0.00000029073427 to seven decimal places. 0.0000003 What is -0.00039613234 rounded to 7 decimal places? -0.0003961 What is 33483.91901 rounded to the nearest ten? 33480 Round 12.3205164 to the nearest integer. 12 What is 0.0080040601 rounded to 3 decimal places? 0.008 What is -2430.59637 rounded to zero decimal places? -2431 Round 113.442831 to 1 dp. 113.4 What is -0.006735499116 rounded to four decimal places? -0.0067 Round -0.000083572205 to seven dps. -0.0000836 What is -35.1299418 rounded to two dps? -35.13 What is -698926.74 rounded to the nearest ten thousand? -700000 What is 0.262620102 rounded to four decimal places? 0.2626 What is 0.0130506441 rounded to 3 dps? 0.013 What is -1.619643151 rounded to 3 dps? -1.62 What is 7061656975 rounded to the nearest one million? 7062000000 Round -0.0372680468 to three decimal places. -0.037 What is -6195502.25 rounded to the nearest 1000? -6196000 What is -21997.362 rounded to the nearest ten thousand? -20000 Round -0.00021544871 to five dps. -0.00022 Round -1769.956939 to the nearest 10. -1770 What is -83597.199 rounded to the nearest one thousand? -84000 What is -1485027.9 rounded to the nearest one thousand? -1485000 What is -45832.96 rounded to the nearest 10000? -50000 Round 1466110.538 to the nearest one hundred. 1466100 Round 8136.5009 to the nearest one hundred. 8100 What is -0.8750732 rounded to the nearest integer? -1 What is -45675.5057 rounded to the nearest 10? -45680 Round 3788335200 to the nearest 1000000. 3788000000 What is -28099677 rounded to the nearest one hundred thousand? -28100000 Round -0.0854394018 to 2 decimal places. -0.09 What is -0.0000041376595 rounded to 7 decimal places? -0.0000041 Round 0.00002066510034 to 6 decimal places. 0.000021 Round -4.755242767 to zero dps. -5 Round -359.407617 to 2 decimal places. -359.41 Round 1431.490731 to the nearest one hundred. 1400 What is 2.6535936 rounded to 1 decimal place? 2.7 Round -0.0003590465711 to 6 decimal places. -0.000359 Round -307248874 to the nearest one million. -307000000 What is 135661977.4 rounded to the nearest 1000000? 136000000 What is 3378011233 rounded to the nearest one million? 3378000000 Round -35.397865 to the nearest one hundred. 0 Round -0.0000085662556 to six decimal places. -0.000009 What is 0.0006007429648 rounded to 6 dps? 0.000601 Round 2609.97693 to the nearest integer. 2610 Round -0.00024189028 to 6 dps. -0.000242 Round -116007464 to the nearest one hundred thousand. -116000000 What is 0.25433823 rounded to 5 dps? 0.25434 What is 145664576.4 rounded to the nearest one thousand? 145665000 What is 0.01984021484 rounded to four decimal places? 0.0198 What is -0.003012720129 rounded to 6 decimal places? -0.003013 What is 0.00000002294954 rounded to seven decimal places? 0 What is 0.827920438 rounded to one dp? 0.8 What is 1512.4928391 rounded to one decimal place? 1512.5 What is 66582038.8 rounded to the nearest 10000? 66580000 Round -0.00002686674518 to 7 decimal places. -0.0000269 What is 8987062.68 rounded to the nearest 10000? 8990000 What is 6270.82558 rounded to the nearest one hundred? 6300 What is -0.000007023543 rounded to six dps? -0.000007 Round 27703745.3 to the nearest ten thousand. 27700000 Round -1625.50088 to the nearest 10. -1630 Round 64559.4 to the nearest one thousand. 65000 What is 0.00000242800296 rounded to seven decimal places? 0.0000024 What is 0.031322806 rounded to 4 dps? 0.0313 Round 625370.7 to the nearest one hundred. 625400 What is -49481561.8 rounded to the nearest one million? -49000000 What is -4707.7831 rounded to 0 decimal places? -4708 Round -17.4029673 to three decimal places. -17.403 What is -2.701382492 rounded to 3 decimal places? -2.701 What is 0.02395882331 rounded to four dps? 0.024 Round -28221.8 to the nearest one hundred. -28200 Round -99175430.72 to the nearest one thousand. -99175000 Round -0.00000426684502 to seven decimal places. -0.0000043 Round 162350.264 to the nearest 10000. 160000 What is 0.378808439 rounded to 4 decimal places? 0.3788 What is -10032.9079 rounded to the nearest 1000? -10000 What is 0.0000023483411 rounded to 6 dps? 0.000002 What is 163397.5335 rounded to the nearest 1000? 163000 What is 4067.10678 rounded to the nearest 10000? 0
What is 67163 to the power of 1/8, to the nearest integer? 4 What is the fourth root of 221 to the nearest integer? 4 What is the seventh root of 2047 to the nearest integer? 3 What is 11898 to the power of 1/2, to the nearest integer? 109 What is 2389 to the power of 1/9, to the nearest integer? 2 What is 5964 to the power of 1/3, to the nearest integer? 18 What is 17986 to the power of 1/2, to the nearest integer? 134 What is 4997 to the power of 1/2, to the nearest integer? 71 What is 788 to the power of 1/4, to the nearest integer? 5 What is the square root of 1591 to the nearest integer? 40 What is 2425 to the power of 1/2, to the nearest integer? 49 What is the cube root of 690 to the nearest integer? 9 What is 15412 to the power of 1/2, to the nearest integer? 124 What is the fourth root of 2927 to the nearest integer? 7 What is the third root of 18952 to the nearest integer? 27 What is 127638 to the power of 1/6, to the nearest integer? 7 What is the ninth root of 9818 to the nearest integer? 3 What is the cube root of 112 to the nearest integer? 5 What is the ninth root of 21436 to the nearest integer? 3 What is 177 to the power of 1/3, to the nearest integer? 6 What is the cube root of 14089 to the nearest integer? 24 What is 6273 to the power of 1/10, to the nearest integer? 2 What is 4927 to the power of 1/2, to the nearest integer? 70 What is 995 to the power of 1/3, to the nearest integer? 10 What is 9033 to the power of 1/10, to the nearest integer? 2 What is the square root of 2521 to the nearest integer? 50 What is 181187 to the power of 1/9, to the nearest integer? 4 What is the third root of 8608 to the nearest integer? 20 What is 7674 to the power of 1/2, to the nearest integer? 88 What is the cube root of 7884 to the nearest integer? 20 What is 1404 to the power of 1/8, to the nearest integer? 2 What is the third root of 24403 to the nearest integer? 29 What is the square root of 326 to the nearest integer? 18 What is the cube root of 64015 to the nearest integer? 40 What is 183000 to the power of 1/2, to the nearest integer? 428 What is 1069 to the power of 1/10, to the nearest integer? 2 What is 104917 to the power of 1/3, to the nearest integer? 47 What is the ninth root of 90870 to the nearest integer? 4 What is the sixth root of 30766 to the nearest integer? 6 What is 53363 to the power of 1/6, to the nearest integer? 6 What is 15262 to the power of 1/4, to the nearest integer? 11 What is 134 to the power of 1/3, to the nearest integer? 5 What is 1869 to the power of 1/2, to the nearest integer? 43 What is the square root of 1327 to the nearest integer? 36 What is 8190 to the power of 1/2, to the nearest integer? 90 What is the square root of 37050 to the nearest integer? 192 What is the square root of 91 to the nearest integer? 10 What is 3920 to the power of 1/6, to the nearest integer? 4 What is the fourth root of 922 to the nearest integer? 6 What is the third root of 43641 to the nearest integer? 35 What is 81 to the power of 1/3, to the nearest integer? 4 What is 14066 to the power of 1/5, to the nearest integer? 7 What is the cube root of 1133 to the nearest integer? 10 What is the tenth root of 3030 to the nearest integer? 2 What is 29486 to the power of 1/10, to the nearest integer? 3 What is the third root of 26789 to the nearest integer? 30 What is the tenth root of 437 to the nearest integer? 2 What is 9932 to the power of 1/5, to the nearest integer? 6 What is 6342 to the power of 1/2, to the nearest integer? 80 What is the cube root of 58560 to the nearest integer? 39 What is 40334 to the power of 1/3, to the nearest integer? 34 What is the cube root of 60035 to the nearest integer? 39 What is 2257 to the power of 1/2, to the nearest integer? 48 What is the eighth root of 1433 to the nearest integer? 2 What is the fourth root of 1832 to the nearest integer? 7 What is 788 to the power of 1/2, to the nearest integer? 28 What is the fourth root of 287 to the nearest integer? 4 What is the third root of 13327 to the nearest integer? 24 What is the fifth root of 1493 to the nearest integer? 4 What is the fourth root of 4785 to the nearest integer? 8 What is the eighth root of 644 to the nearest integer? 2 What is 1049 to the power of 1/9, to the nearest integer? 2 What is 1023 to the power of 1/3, to the nearest integer? 10 What is 4157 to the power of 1/3, to the nearest integer? 16 What is the fifth root of 124159 to the nearest integer? 10 What is 2876 to the power of 1/3, to the nearest integer? 14 What is the tenth root of 14955 to the nearest integer? 3 What is 40393 to the power of 1/3, to the nearest integer? 34 What is the seventh root of 1278 to the nearest integer? 3 What is 1972 to the power of 1/7, to the nearest integer? 3 What is 644 to the power of 1/2, to the nearest integer? 25 What is the cube root of 2641 to the nearest integer? 14 What is 32657 to the power of 1/5, to the nearest integer? 8 What is 65275 to the power of 1/8, to the nearest integer? 4 What is 31659 to the power of 1/10, to the nearest integer? 3 What is the fifth root of 27269 to the nearest integer? 8 What is 555 to the power of 1/2, to the nearest integer? 24 What is the cube root of 14492 to the nearest integer? 24 What is 114620 to the power of 1/2, to the nearest integer? 339 What is 127097 to the power of 1/2, to the nearest integer? 357 What is 17133 to the power of 1/2, to the nearest integer? 131 What is the eighth root of 3541 to the nearest integer? 3 What is the tenth root of 1822 to the nearest integer? 2 What is 31277 to the power of 1/2, to the nearest integer? 177 What is 1482 to the power of 1/4, to the nearest integer? 6 What is the cube root of 1933 to the nearest integer? 12 What is the cube root of 3014 to the nearest integer? 14 What is 18354 to the power of 1/3, to the nearest integer? 26 What is 5162 to the power of 1/7, to the nearest integer? 3 What is the ninth root of 702 to the nearest integer? 2 What is 18169 to the power of 1/7, to the nearest integer? 4 What is the square root of 28770 to the nearest integer? 170 What is the fifth root of 73424 to the nearest integer? 9 What is 58447 to the power of 1/2, to the nearest integer? 242 What is 2677 to the power of 1/8, to the nearest integer? 3 What is 44275 to the power of 1/3, to the nearest integer? 35 What is 20996 to the power of 1/5, to the nearest integer? 7 What is 723 to the power of 1/3, to the nearest integer? 9 What is the square root of 3396 to the nearest integer? 58 What is the square root of 89217 to the nearest integer? 299 What is the fifth root of 7378 to the nearest integer? 6 What is 11504 to the power of 1/3, to the nearest integer? 23 What is the third root of 352 to the nearest integer? 7 What is 3517 to the power of 1/2, to the nearest integer? 59 What is the sixth root of 59633 to the nearest integer? 6 What is the cube root of 6684 to the nearest integer? 19 What is the third root of 170 to the nearest integer? 6 What is the cube root of 11065 to the nearest integer? 22 What is the tenth root of 865 to the nearest integer? 2 What is the sixth root of 462 to the nearest integer? 3 What is the fourth root of 7299 to the nearest integer? 9 What is the third root of 61330 to the nearest integer? 39 What is the tenth root of 62154 to the nearest integer? 3 What is the eighth root of 216 to the nearest integer? 2 What is 30356 to the power of 1/9, to the nearest integer? 3 What is the fifth root of 23282 to the nearest integer? 7 What is the square root of 2403 to the nearest integer? 49 What is 2817 to the power of 1/2, to the nearest integer? 53 What is the cube root of 34536 to the nearest integer? 33 What is 143197 to the power of 1/2, to the nearest integer? 378 What is 1326 to the power of 1/5, to the nearest integer? 4 What is the ninth root of 104910 to the nearest integer? 4 What is the tenth root of 26459 to the nearest integer? 3 What is 171 to the power of 1/10, to the nearest integer? 2 What is the square root of 773 to the nearest integer? 28 What is 6554 to the power of 1/6, to the nearest integer? 4 What is the square root of 9860 to the nearest integer? 99 What is the fourth root of 962 to the nearest integer? 6 What is 2832 to the power of 1/6, to the nearest integer? 4 What is the seventh root of 99616 to the nearest integer? 5 What is the square root of 33562 to the nearest integer? 183 What is 9136 to the power of 1/2, to the nearest integer? 96 What is the fourth root of 129967 to the nearest integer? 19
Factor o**2/5 - 4*o/5 + 4/5. (o - 2)**2/5 Factor c**3 - 239*c**2 + 1864*c - 3696. (c - 231)*(c - 4)**2 Determine b, given that 2*b**2/7 - 14380*b/7 + 25848050/7 = 0. 3595 Find c, given that -c**3/2 + 5*c**2/2 + 33*c/2 + 27/2 = 0. -3, -1, 9 Factor -r**4/4 - 47*r**3/4 - 91*r**2/4 - 45*r/4. -r*(r + 1)**2*(r + 45)/4 Let -12*n**4/7 + 16*n**3/7 + 52*n**2/7 + 24*n/7 = 0. What is n? -1, -2/3, 0, 3 Factor -k**2 + 63*k - 992. -(k - 32)*(k - 31) Factor -2*h**4 + 76*h**3 - 552*h**2 - 3276*h - 2646. -2*(h - 21)**2*(h + 1)*(h + 3) Factor -4*h**4 + 12*h**3 + 64*h**2 + 48*h. -4*h*(h - 6)*(h + 1)*(h + 2) Factor 8*b**2/3 - 52*b/3 - 28/3. 4*(b - 7)*(2*b + 1)/3 Let -3*f**2 - 2019*f + 6084 = 0. What is f? -676, 3 Suppose -4*y**4/5 - 4*y**3/5 + 4*y**2/5 + 4*y/5 = 0. What is y? -1, 0, 1 Factor 50*f**3 + 570*f**2 + 2142*f + 2646. 2*(f + 3)*(5*f + 21)**2 Find v, given that 5*v**4/2 + 345*v**3/2 - 190*v**2 - 1050*v = 0. -70, -2, 0, 3 Solve 2*f**5 + 54*f**4 - 2*f**3 - 54*f**2 = 0 for f. -27, -1, 0, 1 Let -2*j**5/3 - 164*j**4 - 40828*j**3/3 - 393984*j**2 - 1089126*j - 708588 = 0. What is j? -81, -2, -1 Suppose 2*i**3/3 - 122*i**2/9 + 4*i + 80/9 = 0. Calculate i. -2/3, 1, 20 Suppose 3*a**2/7 - 54*a/7 + 51/7 = 0. What is a? 1, 17 Factor -2*y**4 - 8*y**3 - 8*y**2. -2*y**2*(y + 2)**2 Factor -3*n**4 + 1407*n**3 + 8514*n**2 + 17076*n + 11400. -3*(n - 475)*(n + 2)**3 Factor 4*b**4 - 192*b**3 + 368*b**2. 4*b**2*(b - 46)*(b - 2) Determine k so that 5*k**5/2 - 5*k**4 - 30*k**3 + 20*k**2 + 80*k = 0. -2, 0, 2, 4 Find r, given that -2*r**4/5 - 18*r**3/5 + 112*r**2/5 + 72*r/5 - 416/5 = 0. -13, -2, 2, 4 Determine w so that -16*w**5 + 288*w**4 - 1652*w**3 + 3180*w**2 - 1800*w = 0. 0, 1, 2, 15/2 Suppose -d**4/6 + 23*d**3/6 - 52*d**2/3 - 64*d/3 = 0. What is d? -1, 0, 8, 16 Factor 4*l**2/7 - 116*l/7 - 120/7. 4*(l - 30)*(l + 1)/7 Solve -3*b**2/4 - 279*b/2 - 25947/4 = 0. -93 Suppose -2*a**2/11 + 884*a/11 - 97682/11 = 0. Calculate a. 221 Factor -3*n**5/2 - 11*n**4/6 - n**3/3. -n**3*(n + 1)*(9*n + 2)/6 Suppose 3*v**2/7 + 2220*v/7 + 410700/7 = 0. What is v? -370 Solve -2*v**5/3 + 44*v**4 + 550*v**3/3 + 232*v**2 + 280*v/3 = 0. -2, -1, 0, 70 Factor m**3 - 47*m**2 - 209*m + 255. (m - 51)*(m - 1)*(m + 5) Suppose 6*s**4 + 35*s**3 - 6*s**2 = 0. Calculate s. -6, 0, 1/6 Let 2*w**4/5 - 206*w**3/5 - 6*w**2/5 + 614*w/5 + 412/5 = 0. Calculate w. -1, 2, 103 Determine v so that -4*v**3 + 12*v**2 + 16*v = 0. -1, 0, 4 Let 4*d**5 + 8*d**4 - 48*d**3 - 56*d**2 + 44*d + 48 = 0. What is d? -4, -1, 1, 3 Solve -3*w**4/7 + 3*w**3/7 + 3*w**2/7 - 3*w/7 = 0 for w. -1, 0, 1 Factor -9*o**3 - 33*o**2 - 15*o + 9. -3*(o + 1)*(o + 3)*(3*o - 1) Solve 3*y**5 + 657*y**4 + 37566*y**3 + 173634*y**2 + 97263*y - 309123 = 0 for y. -107, -3, 1 Determine o so that o**2 + 545*o + 544 = 0. -544, -1 Factor 2*b**2 + 170*b - 348. 2*(b - 2)*(b + 87) Suppose -34*x**2/9 + 98*x/3 + 12 = 0. What is x? -6/17, 9 Factor 21*b**3/2 - 307*b**2/2 - 62*b + 30. (b - 15)*(3*b + 2)*(7*b - 2)/2 Determine s, given that 2*s**5/17 + 12*s**4/17 + 6*s**3/17 - 20*s**2/17 = 0. -5, -2, 0, 1 Factor 5*j**2 + 850*j - 855. 5*(j - 1)*(j + 171) Factor s**5/3 - 2*s**4 + 4*s**3 - 10*s**2/3 + s. s*(s - 3)*(s - 1)**3/3 Solve -2*d**4 + 206*d**3/7 + 2888*d**2/7 + 5512*d/7 + 192 = 0 for d. -7, -2, -2/7, 24 Let 4*l**3 + 96*l**2 + 500*l - 600 = 0. Calculate l. -15, -10, 1 Solve 3*y**2/8 + 429*y/8 = 0 for y. -143, 0 What is n in 300*n**4 + 220*n**3 - 1875*n**2 + 485*n - 30 = 0? -3, 1/10, 1/6, 2 Find n, given that 8*n**3 + 100*n**2 - 464*n - 256 = 0. -16, -1/2, 4 Factor -3*n**3/5 - 279*n**2/5 - 1077*n/5 - 801/5. -3*(n + 1)*(n + 3)*(n + 89)/5 Solve 4*z**2 + 128*z + 768 = 0. -24, -8 Let p**4 - 11*p**3 + 40*p**2 - 48*p = 0. Calculate p. 0, 3, 4 Suppose v**5 + 11*v**4 + 48*v**3 + 104*v**2 + 112*v + 48 = 0. Calculate v. -3, -2 Factor -2*i**3 + 210*i**2. -2*i**2*(i - 105) Let -4*d**3 - 868*d**2 + 2632*d - 1760 = 0. What is d? -220, 1, 2 Factor 2*q**3/5 - 22*q**2/5 + 36*q/5. 2*q*(q - 9)*(q - 2)/5 Find q, given that -7*q**4/6 + 41*q**3/3 - 13*q**2/2 - 86*q/3 - 22/3 = 0. -1, -2/7, 2, 11 Factor 5*j**2 - 265*j + 510. 5*(j - 51)*(j - 2) Factor d**2/6 + 268*d + 107736. (d + 804)**2/6 Factor -4*i**3 - 52*i**2 + 116*i - 60. -4*(i - 1)**2*(i + 15) What is g in -2*g**2/3 + 16*g/3 - 14/3 = 0? 1, 7 Let -866*z**5/11 - 394*z**4 - 6948*z**3/11 - 3496*z**2/11 - 16*z/11 = 0. What is z? -2, -1, -2/433, 0 Let q**3/3 - 47*q**2/3 - 97*q/3 - 49/3 = 0. Calculate q. -1, 49 Factor y**3/5 - 6*y**2/5 + 8*y/5. y*(y - 4)*(y - 2)/5 Determine o, given that 5*o**3 - 60*o**2 + 55*o = 0. 0, 1, 11 Let 3*y**3/5 - 21*y**2/5 - 39*y + 693/5 = 0. Calculate y. -7, 3, 11 Determine n, given that 2*n**3/15 + 16*n**2/15 - 22*n/5 = 0. -11, 0, 3 Factor -m**3/2 + 193*m**2 + 778*m + 780. -(m - 390)*(m + 2)**2/2 Suppose 2*t**2/9 + 28*t/3 + 850/9 = 0. Calculate t. -25, -17 Find b such that 2*b**3/9 - 4*b**2/3 + 10*b/9 + 8/3 = 0. -1, 3, 4 Factor -h**4 + h**3 + 15*h**2 - 9*h - 54. -(h - 3)**2*(h + 2)*(h + 3) Find f such that 4*f**2 - 8*f - 32 = 0. -2, 4 Suppose m**2 - 116*m + 555 = 0. What is m? 5, 111 What is c in -4*c**2 - 16*c - 12 = 0? -3, -1 Factor -5*n**2 + 1680*n. -5*n*(n - 336) Solve -3*f**5 + 6*f**4 - 6*f**2 + 3*f = 0 for f. -1, 0, 1 Determine b, given that -4913*b**5 - 29189*b**4 + 5100*b**3 + 18576*b**2 - 9504*b + 1296 = 0. -6, -1, 6/17 Factor 7*k**3/5 - 179*k**2/5 + 221*k + 507/5. (k - 13)**2*(7*k + 3)/5 Determine o so that -4*o**3 + 120*o**2 - 228*o + 112 = 0. 1, 28 Factor a**3 - 30*a**2 - 63*a - 32. (a - 32)*(a + 1)**2 Factor t**2/4 + 5*t. t*(t + 20)/4 Find i, given that 2*i**3/11 + 24*i**2/11 + 72*i/11 + 64/11 = 0. -8, -2 Factor 4*l**2 + 4132*l + 4128. 4*(l + 1)*(l + 1032) Solve a**4/3 + 7*a**3/3 - 41*a**2/3 + 11*a = 0 for a. -11, 0, 1, 3 Factor -q**3/6 - 270*q**2 - 145800*q - 26244000. -(q + 540)**3/6 Factor -v**3/2 - 299*v**2 + 1199*v/2 - 300. -(v - 1)**2*(v + 600)/2 Factor 2*i**2/3 + 588*i + 129654. 2*(i + 441)**2/3 Factor -15*c**4 - 175*c**3 - 470*c**2 - 240*c. -5*c*(c + 3)*(c + 8)*(3*c + 2) Factor -5*o**5 - 95*o**4 - 620*o**3 - 1440*o**2 + 2160. -5*(o - 1)*(o + 2)*(o + 6)**3 Let -2*k**4/15 + 6*k**2/5 + 8*k/15 - 8/5 = 0. Calculate k. -2, 1, 3 Solve 2*m**3/3 - 934*m**2/3 + 932*m/3 = 0 for m. 0, 1, 466 Suppose -36*v**4 + 784*v**3 - 5620*v**2 + 12824*v + 3136 = 0. What is v? -2/9, 7, 8 Determine u so that 72*u**2 - 25*u + 2 = 0. 1/8, 2/9 Factor -5*b**2 + 1720*b - 1715. -5*(b - 343)*(b - 1) Determine z, given that 68*z**5 + 1844*z**4 + 10756*z**3 + 22252*z**2 + 14712*z + 1440 = 0. -20, -3, -1, -2/17 Factor -3*j**3/8 + 21*j**2/8 + 51*j/8 + 27/8. -3*(j - 9)*(j + 1)**2/8 Factor u**2/2 + 121*u/2 + 60. (u + 1)*(u + 120)/2 Let -100*t**4/3 + 320*t**3/3 - 92*t**2 + 24*t = 0. What is t? 0, 3/5, 2 Find n, given that 4*n**3/13 + 38*n**2/13 - 66*n/13 = 0. -11, 0, 3/2 Determine m so that -3*m**3/2 + 75*m**2/2 - 189*m = 0. 0, 7, 18 Determine y so that -y**2 - 5*y - 4 = 0. -4, -1 Factor 2*u**5 + 2*u**4 - 2*u**3 - 2*u**2. 2*u**2*(u - 1)*(u + 1)**2 What is m in -4*m**5 + 60*m**4 - 108*m**3 - 956*m**2 - 288*m + 1296 = 0? -2, 1, 9 Solve 3*w**5 - 3*w**4 - 39*w**3 + 3*w**2 + 36*w = 0 for w. -3, -1, 0, 1, 4 Factor -p**4/4 - 627*p**3 - 524172*p**2 - 146069264*p. -p*(p + 836)**3/4 Let -2*x**2/17 + 30*x/17 - 52/17 = 0. Calculate x. 2, 13 Find l, given that 147*l**4/5 - 231*l**3/5 + 96*l**2/5 - 12*l/5 = 0. 0, 2/7, 1 What is v in 4*v**2 + 10*v/3 = 0? -5/6, 0 Factor 2*g**2 + 226*g + 224. 2*(g + 1)*(g + 112) Factor 1944*k**3 - 189*k**2 - 30*k + 3. 3*(8*k + 1)*(9*k - 1)**2 Suppose r**2 - 5928*r + 8785296 = 0. Calculate r. 2964 Factor -2*l**2/7 + 752*l/7 - 70688/7. -2*(l - 188)**2/7 Solve -2*z**3 - 4104*z**2 + 8214*z - 4108 = 0. -2054, 1 Factor 3*x**2/8 - 81*x/4 - 513/8. 3*(x - 57)*(x + 3)/8 Factor -i**3/2 - 4*i**2 + 45*i/2 - 18. -(i - 3)*(i - 1)*(i + 12)/2 Determine n, given that -5*n**5/2 - 43*n**4/2 + 133*n**3/2 - n**2/2 - 64*n + 22 = 0. -11, -1, 2/5, 1, 2 Solve 3*x**3 - 156*x**2 + 303*x - 150 = 0 for x. 1, 50 Suppose b**5 - 41*b**4 + 640*b**3 - 4600*b**2 + 14000*b - 10000 = 0. What is b? 1, 10 Solve -3*y**4/2 - 51*y**3/2 - 132*y**2 - 216*y = 0 for y. -9, -4, 0 Factor -5*m**2 + 1510*m - 1505. -5*(m - 301)*(m - 1) Factor -3*f**4/5 + 42*f**3/5 - 219*f**2/5 + 504*f/5 - 432/5. -3*(f - 4)**2*(f - 3)**2/5 Solve -5*a**2 + 2970*a - 5920 = 0. 2, 592 Determine x, given that -4*x**2 - 216*x - 1316 = 0. -47, -7 Let -u**5/8 - 3*u**4/4 + 19*u**3/8 + 2*u**2 - 15*u/2 + 4 = 0. Calculate u. -8, -2, 1, 2 Solve 5*y**2 + 480*y = 0 for y. -96, 0 Suppose -16*n**2 - 27632*n - 11930116 = 0. What is n? -1727/2 Determine g, given that -12*g**4 + 53*g**3 - 14*g**2 - 23*g - 4 = 0. -1/3, -1/4, 1, 4
What is 12 - (-4 + 6) - (2 - -2)? 6 Evaluate 3 + (-22 - (26 + -59)). 14 What is the value of -10 - 2 - (-72 + (-44 - -71))? 33 What is the value of 15 + -1 - (-12 - -9 - (-3 + -5))? 9 Calculate 15 - (10 + 1) - (1 - -2 - 1). 2 Calculate 0 - ((-13 - -2) + 4) - (19 - -2). -14 -31 - (-64 + 14) - (2 + 1 - 2) 18 Calculate -15 + 15 + 13 + -26 + 11. -2 Evaluate -4 - (5 - (2 + 5) - -5). -7 Evaluate -29 + 43 + -14 + (1 - 0). 1 9 + (-3 - 5 - 3 - 5) -7 Calculate 0 - 3 - (-24 + 30 + (-4 - 2)). -3 What is (-5 - (3 - 5)) + -2 - (27 + -55)? 23 What is the value of -14 + -45 + 14 + 48? 3 What is the value of -7 - (70 - (39 - -2))? -36 What is the value of 4 - (12 + 13 + -24)? 3 -3 + 5 + -10 + 64 + -55 1 What is the value of (155 - 183) + (-3 - -16)? -15 What is the value of -1 + -10 + 5 + (0 - 5) + 3? -8 What is (-3 - (9 - 20)) + -9? -1 Calculate 10 - (19 - 2 - (16 + -8)). 1 What is the value of 16 + (-6 - -11) - 17? 4 Evaluate -1 - (7 + -16 - -25). -17 Calculate (-7 - (-20 + 7 - -9)) + 0. -3 What is the value of -5 - (-17 - -17 - 2)? -3 What is 17 + (-5 - (7 - 7)) + -1? 11 Calculate 7 + (7 - (1 - (-5 + 7))) - -8. 23 What is (-15 - 1) + 0 + (-10 - (-28 + 13))? -11 -23 + (-11 - -45) + (-2 - -3) 12 -4 + -21 + 21 + 1 + 12 9 2 - (27 - (13 - 5) - (6 - -1)) -10 -43 + 41 - ((-4 - -2) + -3) 3 Calculate -39 + (5 - (-8 - -11)) - (1 - 6). -32 Calculate 16 - -1 - (-296 - -324). -11 Calculate (8 - 0) + (-193 - -186) - 24. -23 Evaluate -6 + (40 - 34) + (-1 - -8) - 7. 0 Evaluate (-7 - (1 - 8 - -2)) + 67 + -82. -17 What is the value of 45 - 26 - (13 - -15)? -9 Evaluate -5 + -34 + -23 + 90. 28 20 + -13 - -32 - 6 33 Evaluate (-1306 - -1314) + (-2 + 2 - -1). 9 4 - 12 - (5 - (12 - 6) - -5) -12 What is the value of 4 + -15 + (-33 - -35)? -9 Evaluate 11 + -26 + (-4 - -4) + -10. -25 What is the value of 41 - 24 - (11 + (3 - 8))? 11 What is the value of -11 + (-47 - -32 - -18)? -8 Evaluate 4 - ((-25 - -2) + 8) - (8 - 3). 14 Evaluate -37 - (43 - (-37 - -143)). 26 What is the value of 2 - (3 + 0 - 2 - -6 - 0)? -5 What is the value of (25 - 52) + 56 - 37? -8 Calculate 19 + -41 + 27 + 8. 13 6 - (10 - 4 - 1) 1 Calculate -62 + 35 + (-16 - -15). -28 (-6 - -12) + (-7 - -6) + -11 -6 Calculate -6 + -15 + -10 + 14 + (9 - 2). -10 (1 - 9) + (-17 + 5 - 6 - -14) -12 Calculate 9 + -32 + 29 + -1 + 9. 14 Evaluate 30 + (7 + -8 - 5) + -7. 17 What is the value of 22 + -13 + -4 + (0 - -5)? 10 What is the value of (1524 - 1520) + (0 + 0 + 0 - 6)? -2 0 - (-23 + 10) - 18 - (1 - 13) 7 What is the value of (24 + -16 - 2) + (-1 - -7) - -10? 22 Calculate 21 - 0 - (-25 - (23 + -48)). 21 Calculate 0 + 12 + -1 + -103 + 52 + 75. 35 Evaluate 746 - 731 - (34 + -1). -18 9 - (9 + (3 - 9) + 1) 5 What is 0 + -20 + 30 - 26? -16 What is 15 - (27 + (14 - 27))? 1 Evaluate -6 - (-2 - -7 - 3) - (1 - -2). -11 Evaluate -35 + -9 + 26 + 32. 14 What is -3 - (9 + 4 + -4 + (-2 - -4))? -14 What is (-12 - -5) + 9 - 15? -13 -2 + 4 - -4 - ((14 - 12) + 2) 2 What is the value of 21 + (2 - ((6 + -12 - -8) + 6))? 15 Evaluate 4 + 3 + 24 + -44 + 40. 27 Evaluate 6 + (-34 - -37) + (-1 - 0). 8 What is the value of (-1 - -7) + (4 - -6) + (-13 - -6)? 9 What is 5 + -13 + 26 - 6? 12 What is the value of -20 + 30 + -22 - -7? -5 -4 + (3 + -1 - -8 - 1) - -3 8 Evaluate 1 + (14 - 9) + 1 + -7 - -14. 14 Calculate 19 + -19 + -12 - -18. 6 What is -2 + -5 + (7 - 5 - 6) + 4? -7 What is the value of (1 - 6 - 0 - (-1 + 15)) + 4? -15 -4 + -4 + 6 - 4 - 1 -7 What is the value of -29 + (7 + -5 - 9) + -8 + 16? -28 What is the value of 5 + (5 - -8) + -10 - 16? -8 What is (-18 - -13) + 14 + 4? 13 Evaluate -10 + (-1 - 5) + 26 + 0. 10 What is (-37 - 15 - -33) + 2? -17 What is -6 + -1 + (-56 - -67) + (-1 - 14)? -11 What is the value of -13 + 15 + -9 + -6 + 2? -11 What is -9 - -3 - (-11 - -47 - 25)? -17 What is (-22 - -16) + (-4 - 1 - -2 - -3)? -6 Calculate 15 - 3 - -5 - 12. 5 Calculate (-1 - ((-13 - -7) + -4)) + 0 + -7. 2 What is 3 - (-19 - (-20 - 17))? -15 -19 + -13 + 16 + -4 + 14 -6 -7 + 3 + -13 + (21 - (7 + -14)) 11 Calculate (35 - 42) + -19 + 24. -2 What is the value of 7 + 10 + (-2 - 8) + -7? 0 What is -24 + 4 + (2 - 3)? -21 Calculate 21 + -11 + -11 + (-1 - (6 - 2)). -6 Evaluate 3 + (6 + (-6 - 1) + 18 - 4). 16 Calculate 512 + -518 + (2 - 32). -36 (-72 - -64) + (4 + 1 - (0 + -2)) -1 Calculate -7 - (-3 + (-2 - -6)) - -5 - 13. -16 What is -3 - 10 - (-120 - -93)? 14 What is the value of -4 + 2 + 6 - (-362 + 368)? -2 What is the value of -7 + (15 - 9) + -3? -4 Evaluate -3 - (9 - 6) - -4 - -9. 7 What is the value of -2 - (-8 + 3) - (5 + -1)? -1 What is -44 + (25 - 14 - -12)? -21 What is (18 + -5 - 22) + 11? 2 Evaluate 4 - (15 + -16 - 13). 18 What is 27 + (-9 - 15) + -25? -22 88 - 106 - (-9 + 0) -9 Evaluate -19 + 14 + 20 + 4 + 0 + -2. 17 What is the value of -31 - (6 - 21 - -23 - 14)? -25 What is the value of 6 - 12 - (0 - (2 + 5 - 6))? -5 Evaluate 13 - (60 + -68 - (2 - 15)). 8 What is the value of 10 + (4 - (10 + 5)) + 7? 6 -2 - -3 - (-203 - -202) 2 What is (-24 - 1) + (25 - -14 - 52)? -38 What is the value of (0 - (-5 + 2)) + (-37 - (-11 + -3))? -20 Evaluate -9 - -30 - 11 - 7. 3 Calculate -1 - 0 - (27 + -39). 11 What is the value of 1 - (-5 - (-17 + 5))? -6 6 - (-8 - -2 - -6 - -6) 0 What is -11 + (2 - 2 - 1) + 1? -11 Evaluate (0 - 15) + -16 + -2 - -4. -29 Evaluate (-10 + 7 - (-3 + 7)) + -4. -11 What is (-11 - 2 - -3) + 124 + -105 + 11? 20 (4 + 0 - 0) + 3 + 15 + -9 13 Calculate 5 + (-2 - 5) - -1 - -8. 7 -3 - (-37 + 40 - (11 - 1)) 4 Evaluate (-14 - -23 - 42) + 26. -7 What is 16 - (-4 + -1) - 3 - (-4 - -7)? 15 What is 7 - 2 - (-1 - -4 - (55 - 54))? 3 Evaluate -1 + 8 - (-755 + 767). -5 What is the value of -24 + 5 + 2 + 20? 3 Evaluate 6 - ((47 + -42 - (2 + 1)) + 3). 1 What is 21 + -7 + -3 - 26? -15 -26 + 39 + 16 - 41 -12 What is 1 - (5 - (22 - (-9 + 16)))? 11 What is the value of (20 - 13) + (12 - 4)? 15 Calculate (-3 + -1 - 8) + 10. -2 Calculate 5 + (0 - 25 - -20). 0 Calculate -18 - -7 - (-7 + -18 + 5 + 0). 9 What is the value of -35 - -1 - -68 - 31? 3 Calculate -7 + 4 + 7 + 7 + (-1 - 3). 7 Calculate 22 + (-3 - 9) + -22 + 2 + 1. -9 Evaluate 23 + -24 + (16 - -3) + -10. 8 What is -1 + 2 + 4 + 1 + -9 - 27? -30 Evaluate 41 - (69 + -26 - -19). -21 Calculate (4 - -1) + -1 - -7. 11 What is the value of 2249 + -2280 + (4 - 0)? -27 Calculate 10 + (-12 + 3 - (-19 + 13)). 7 Evaluate 10 - (34 + -17) - (-10 - -1). 2 Calculate (-7 - (7 - (13 + -3))) + 5. 1 -33 + 14 + -20 + 56 17 Calculate 1 - -2 - -5 - ((-23 - -50) + -8). -11 What is the value of -41 + (-17 - (-42 - 16))? 0 Calculate 1 + -3 - ((-10 - -8) + -1). 1 What is (9 - (5 - (0 + -4))) + -1 + -2? -3 What is the value of -21 + (34 - (-8 + 24))? -3 Calculate 16 + (-19 - 0) - -8. 5 Calculate (-35 - (5 + -13) - 6) + 11. -22 Calculate 13 - (-7 - (-8 - 4 - -17)). 25 -5 + -2 + 10 + -2 + -8 + 7 0 -3 - ((-13 - -25) + -14) -1 8 + 0 + 8 + -24 - -21 13 4 - ((-3 - 2) + -4) 13 Calculate 7 + (-12 - -8) + -5 + (-14 - -20). 4 What is -10 - (-14 + 10 + 3 - 14 - 1)? 6 (-1 - (29 + -27)) + 24 21 What is the value of 38 + -42 - (-13 + -4)? 13 Evaluate 8 + 11 + 12 - 32. -1 Calculate 3 - (0 - (4 + -7)) - (13 + -18). 5 -121 + 110 + (-2 - -20) + -1 + -2 4 0 - 1 - -2 - (1 + -11 + 16) -5 1 + -11 - (67 - 73) -4 What is -32 + -12 + 18 + 16? -10 Calculate 29 - (-2 + 9 + -6). 28 (-6 - ((0 - (2 - -2)) + -10)) + -1 7 Evaluate -4 + (11 - (-6 - -17)) + (-2 - -12). 6 What is 4 + -51 + 23 + 23? -1 -8 + 11 - -12 - (-3 + 1 + 2) 15 Calculate -2 + -2 + (-6 + 9 - (-1 - 1)). 1 What is the value of (12 - 2) + (63 - 55) - -10? 28 Evaluate -306 + 266 + -2 + 6 + 4 + -1. -33 Calculate -9 + (-63 - (7 + -44)). -35 Calculate 0 + -2 + (16 + -2 + -28 - -16). 0 17 + -20 + 31 - (12 - 1) 17 Calculate (0 - (12 + 19)) + 18. -13 (-1 - -2) + -12 + 3 + 47 + -44 -5 -28 - ((-5 + -3 - -5) + -43 + 50) -32 What is 9 + -7 + 8 + -3? 7 Calculate -101 + 89 - (1 + 0). -13 Evaluate (-20 + 10 - -20) + (-9 - -3). 4 Evaluate 4 + -10 + 6 - (-5 + 6). -1 -1 + (-11 - -9) + 3 - 7 -7 What is (18 - 2) + 28 + -30? 14 What is the value of (54 - 60) + 1 + (0 + -3 - -1)? -7 What is the value of -4 - (-32 - (-11 - -2))? 19 Evaluate -24 + ((-16 - -11) + -4 - 1). -34 Calculate (-18 - -16 - (2 + -4)) + 0 - -7. 7 (85 - 85) + (-10 - 1) - -14 3 Evaluate 16 + -14 + 28 + (-9 - 1) + -2. 18 Calculate -62 + (12 - (-19 + -6)). -25 What is 1 + (0 - 6) + -7 + 9 + -3? -6 What is -12 + -1 + (12 - (5 - 3 - -6))? -9 What is 0 + 0 + 0 + (-10 - -15)? 5 Evaluate -10 + -8 + (28 - -11). 21 Evaluate 41 + -53 - ((-1 - 3) + 8 + 3). -19 Calculate -15 + 22 + -20 + 23. 10 What is (-30 - -17 - -21) + -21? -13 Evaluate (8 - -2) + (297 - 304). 3 Evaluate 12 + (-3 + -9 - 0). 0 Evaluate 40 + -65 - (3 + -4 + -2). -22 What is -7 - (12 - (7 + 1)) - -6? -5 What is 9 + 7 + -1 + 1 + -13 + 1? 4
Which is the second biggest value? (a) -3/4 (b) -21 (c) -12 c What is the third smallest value in 857, 1/4, -3? 857 Which is the second smallest value? (a) 5 (b) -0.2 (c) 320 a What is the second smallest value in 0.207, 0, -1/5? 0 What is the second biggest value in 5/2, -3/7, 1/7, 2/3, -3/2? 2/3 What is the smallest value in 1, 1/11, 0.2, 0.3? 1/11 What is the fourth smallest value in -5, 0.7, -3, 1? 1 What is the fourth biggest value in -4/3, 2/3, 2, 0.5? -4/3 Which is the smallest value? (a) -0.1 (b) -52 (c) 5 (d) -0.4 b Which is the smallest value? (a) 2/11 (b) -6/7 (c) 5 (d) 0.2 b Which is the biggest value? (a) 2 (b) -5 (c) 5 (d) 267 d What is the second biggest value in -20, 0.03, -0.3, 0.1? 0.03 What is the biggest value in -2/5, 0.04, -22? 0.04 Which is the fourth smallest value? (a) 2/3 (b) 14 (c) 4 (d) -5/3 (e) 1 c Which is the third smallest value? (a) -1/5 (b) -2363 (c) 1 c Which is the fifth biggest value? (a) -69 (b) -5 (c) 0.2 (d) -0.4 (e) 7 a What is the second biggest value in 103, -3, -0.9? -0.9 What is the smallest value in 1/3, -1.1, -2/39? -1.1 Which is the smallest value? (a) -5 (b) 1/2 (c) -28 c Which is the third smallest value? (a) -8.3 (b) 0.5 (c) -3 b Which is the second smallest value? (a) 0.5 (b) -0.5 (c) 185 a What is the biggest value in 1, 1/3, -0.4, -1? 1 Which is the third biggest value? (a) 0 (b) 1/2 (c) -3 c Which is the biggest value? (a) 30 (b) -0.24 (c) 5 a Which is the second biggest value? (a) 15 (b) -6 (c) 0.1 (d) -0.6 (e) -0.3 c What is the fourth smallest value in -0.5, 0.3, -0.2, 2/9, -0.25? 2/9 What is the third biggest value in 4, -4, -23, -1/3? -4 What is the smallest value in -5/4, -1, 2? -5/4 Which is the smallest value? (a) 0.4 (b) 83 (c) 0.5 (d) 4 a Which is the second biggest value? (a) -17 (b) -25 (c) 0.4 (d) -0.2 d Which is the second smallest value? (a) -0.1 (b) 4 (c) -0.2 (d) 19 a What is the third biggest value in -3, 1.5, 0.1? -3 What is the second biggest value in 0.1, -3, -2, -0.77? -0.77 Which is the third biggest value? (a) 2 (b) 2/7 (c) 3/7 (d) -1 b Which is the second smallest value? (a) -2/13 (b) 5/8 (c) 5 b Which is the smallest value? (a) -5 (b) 2/7 (c) 10 a What is the smallest value in 2, 20, -3/41? -3/41 What is the third biggest value in -7, -0.2, 5/2, -2/9? -2/9 What is the third biggest value in -1/27, 0.3, 5? -1/27 Which is the second smallest value? (a) -1/8 (b) 0 (c) -2/21 (d) -37 a Which is the smallest value? (a) -2 (b) -88 (c) -5 b What is the third biggest value in -4, -1, -68, 4, 0? -1 Which is the smallest value? (a) 0.8 (b) -0.5 (c) 2/27 b Which is the second smallest value? (a) 71/2 (b) 0 (c) 1.6 c What is the second smallest value in 28, -4, 0.1, -1/13, -4/3? -4/3 Which is the third smallest value? (a) 1/12 (b) 2/11 (c) -3/8 (d) 2 (e) -5 a What is the fifth biggest value in -1, -0.4, 1, 4/11, -3/10? -1 What is the third biggest value in 0.1, 1/123, -2? -2 Which is the third biggest value? (a) -2/21 (b) 1 (c) 16 (d) 2 (e) 1/6 b What is the second biggest value in 3, 2/9, -22716? 2/9 What is the fourth biggest value in 4/3, -0.09, 3, 5? -0.09 What is the biggest value in -11, -2/9, 3? 3 Which is the second biggest value? (a) 0.2 (b) 45 (c) -2 (d) 0.5 d Which is the second biggest value? (a) -1/3 (b) -5 (c) -8 (d) 0.5 a Which is the third biggest value? (a) -5 (b) 10 (c) 0.1 (d) -0.02 d Which is the biggest value? (a) 0.4 (b) -349 (c) -3 (d) 3 (e) -1/3 d What is the fourth smallest value in 0.1, 22, 1, 3/5, 2/9? 1 Which is the fifth biggest value? (a) -2/13 (b) 2/5 (c) 2 (d) 5 (e) -0.084 a Which is the third biggest value? (a) -0.1 (b) -61 (c) -3 (d) -1/9 c Which is the smallest value? (a) -5 (b) 11 (c) 0 (d) -3/7 a What is the third smallest value in 7.52, 3/5, 0.3? 7.52 Which is the smallest value? (a) 3/10 (b) 0.2 (c) -3 c What is the fourth smallest value in -3.7, -3/7, 4, -5/3? 4 Which is the third biggest value? (a) -1/9 (b) 585 (c) 6 a What is the biggest value in -4, 1, -1, 1/10? 1 Which is the biggest value? (a) -1/2 (b) -1/408 (c) 4 c Which is the second smallest value? (a) 0 (b) -2/11 (c) 31 (d) 3 a Which is the third biggest value? (a) 1 (b) -0.3 (c) -13/6 (d) 4 b What is the smallest value in 0.2, 4/9, 2, -0.16, -5? -5 What is the biggest value in -15, 5, -3/17? 5 What is the fourth biggest value in 116, -1, -5, -2/15, 3/5? -1 What is the fifth smallest value in -0.025, -0.4, -1/4, 0.3, 2/5? 2/5 What is the smallest value in -2/3, 0.5, 1, 71? -2/3 What is the fifth smallest value in 49/4, -2/3, -5, -0.3, 1? 49/4 Which is the third biggest value? (a) 1 (b) 0.025 (c) -3 (d) 3/4 b Which is the second biggest value? (a) -0.3 (b) 0.2 (c) -2/3 (d) 2/3 b Which is the second biggest value? (a) -0.4 (b) 0 (c) -2/3 (d) -1.75 a What is the fourth smallest value in 1/2, -1/11, -1.3, 3? 3 What is the fourth biggest value in 0.021, -0.5, -0.4, -0.3? -0.5 What is the third smallest value in -0.1, 1, -11/7, 0.3? 0.3 What is the third smallest value in 9, 0.08, -0.5, -0.7? 0.08 Which is the second smallest value? (a) -0.4 (b) -0.05 (c) -1 a Which is the biggest value? (a) 1/6 (b) 0.2 (c) 37 (d) -0.5 c Which is the third smallest value? (a) 4 (b) 2/3 (c) -0.69 (d) 2/5 b What is the third biggest value in -1/4, 2/15, -5, 2, 0? 0 Which is the smallest value? (a) 5/4 (b) 823 (c) 1/2 (d) 2 c Which is the third biggest value? (a) -5 (b) 0.4 (c) 40 (d) 6 b What is the fourth smallest value in -380, 3/8, -2, -4, -3? -2 Which is the smallest value? (a) -271 (b) -2 (c) -5 a What is the biggest value in 0.3, 3, 4? 4 What is the second smallest value in -2/3, 5.023, 1/2? 1/2 What is the second smallest value in 5, -3/2, -3, -2? -2 What is the third smallest value in 0.4, -777, -4? 0.4 Which is the second biggest value? (a) -1/9 (b) 0.3 (c) 98 b Which is the second biggest value? (a) -4 (b) 0 (c) -2.73 c What is the third smallest value in 0.4, 1, -1/180, -1, -2? -1/180 Which is the fifth biggest value? (a) -116 (b) 5 (c) -0.3 (d) -2 (e) 0.5 a Which is the third smallest value? (a) -11 (b) -50 (c) 1/5 c What is the second smallest value in 1, -1.26, -2, 0.1, -7? -2 Which is the biggest value? (a) 5 (b) 2 (c) 59 c Which is the smallest value? (a) 595 (b) -0.1 (c) 4 b Which is the third biggest value? (a) -0.032 (b) -4/7 (c) 0 b What is the third smallest value in -51, -3, 0.4, 4, -4? -3 What is the fourth smallest value in -2, 2, -0.5, 1? 2 Which is the third biggest value? (a) -3 (b) 2/9 (c) -5 (d) -0.2 (e) -8/3 e What is the smallest value in 1, -2/15, 1/7? -2/15 Which is the third smallest value? (a) -5 (b) -1/3 (c) 1.5 c Which is the third biggest value? (a) -19/46 (b) -2/19 (c) 1/2 a Which is the smallest value? (a) -2/3 (b) -168/13 (c) -2/21 b What is the smallest value in 1886, 0.1, -3? -3 What is the smallest value in -23, -3, -1, 3? -23 Which is the smallest value? (a) 0 (b) 1/6 (c) -8 (d) -0.5 (e) 0.9 c Which is the biggest value? (a) 152 (b) -0.4 (c) -0.1 (d) 5 a What is the third biggest value in -1/5, 5, -247, -2/9? -2/9 Which is the smallest value? (a) -2 (b) 0.6 (c) 4 (d) 2/9 (e) 133/5 a What is the third smallest value in -1, -18, -0.01? -0.01 Which is the smallest value? (a) -4 (b) -2 (c) 2 a Which is the third biggest value? (a) 562 (b) -2/13 (c) -0.5 (d) 0.2 b What is the fourth smallest value in 4, 2, -23, -2/7, -4? 2 Which is the fourth biggest value? (a) 0.08 (b) -5 (c) -3 (d) 0.2 (e) 26 c Which is the second biggest value? (a) 3 (b) 77/2 (c) 4 (d) -0.3 (e) -0.1 c What is the fourth smallest value in -0.8, -1, -0.3, -1/30, -1/3? -0.3 What is the fourth smallest value in 2/11, 4, -5, -7/4? 4 Which is the second biggest value? (a) -24/5 (b) 11/3 (c) 0 c Which is the third smallest value? (a) 1 (b) -4 (c) 2 (d) 0.05 a What is the third smallest value in -1, -1/4, -9, -2/7, 1? -2/7 What is the third biggest value in 28, 2/7, -3? -3 What is the fourth smallest value in 0.3, -1/6, 2/3, -0.4? 2/3 What is the second smallest value in -2, -104, 2? -2 What is the biggest value in 2/173, 2, -1/8? 2 Which is the fourth smallest value? (a) 5 (b) -2 (c) -3 (d) -299 (e) -0.5 e What is the third biggest value in 4/3, 4, 5, 18, -2? 4 Which is the fourth biggest value? (a) 7 (b) 2 (c) -0.1 (d) 0 c What is the third biggest value in 17, 2, -0.4? -0.4 Which is the smallest value? (a) 1 (b) 76/7 (c) 4 (d) -1/2 d
What is the d'th term of 4958, 5564, 6170? 606*d + 4352 What is the o'th term of 175, 678, 1515, 2680, 4167, 5970, 8083, 10500? -o**3 + 173*o**2 - 9*o + 12 What is the q'th term of 12032, 24086, 36138, 48188, 60236, 72282, 84326? -q**2 + 12057*q - 24 What is the n'th term of 26, 180, 442, 812, 1290, 1876? 54*n**2 - 8*n - 20 What is the z'th term of 390721, 781441, 1172161, 1562881? 390720*z + 1 What is the n'th term of 10264, 20525, 30786, 41047? 10261*n + 3 What is the a'th term of 43836, 87662, 131488, 175308, 219116? -a**3 + 6*a**2 + 43815*a + 16 What is the x'th term of -419, -938, -1457, -1976? -519*x + 100 What is the m'th term of -2688, -2644, -2606, -2580, -2572? -m**3 + 3*m**2 + 42*m - 2732 What is the j'th term of 20962, 20958, 20954? -4*j + 20966 What is the y'th term of -60, -85, -80, -33, 68? 2*y**3 + 3*y**2 - 48*y - 17 What is the n'th term of 133, 185, 157, 49? -40*n**2 + 172*n + 1 What is the i'th term of 71341, 71339, 71325, 71293, 71237, 71151? -i**3 + 5*i + 71337 What is the b'th term of -741, -869, -1081, -1377? -42*b**2 - 2*b - 697 What is the c'th term of 38282, 76607, 114932, 153257? 38325*c - 43 What is the k'th term of -40, -231, -550, -991, -1548? k**3 - 70*k**2 + 12*k + 17 What is the y'th term of 1047, 2129, 3211, 4293, 5375? 1082*y - 35 What is the f'th term of 18593, 18596, 18599? 3*f + 18590 What is the s'th term of 34, 35, 26, 7? -5*s**2 + 16*s + 23 What is the r'th term of 31596, 126418, 284456, 505710, 790180, 1137866, 1548768? 31608*r**2 - 2*r - 10 What is the h'th term of -17123, -34246, -51379, -68522, -85675? -5*h**2 - 17108*h - 10 What is the k'th term of -31, -61, -79, -85, -79, -61, -31? 6*k**2 - 48*k + 11 What is the c'th term of 538, 508, 466, 406, 322? -c**3 - 23*c + 562 What is the a'th term of 10510, 21054, 31616, 42196, 52794, 63410, 74044? 9*a**2 + 10517*a - 16 What is the v'th term of 203057, 406119, 609181, 812243, 1015305, 1218367? 203062*v - 5 What is the w'th term of 4992, 10304, 15616, 20928, 26240, 31552? 5312*w - 320 What is the o'th term of -626, -1723, -3552, -6113, -9406? -366*o**2 + o - 261 What is the v'th term of 37, 73, 115, 169, 241, 337, 463? v**3 - 3*v**2 + 38*v + 1 What is the i'th term of 2199, 3657, 5115, 6573? 1458*i + 741 What is the l'th term of -2302, -4789, -7650, -11071, -15238? -31*l**3 - l**2 - 2267*l - 3 What is the q'th term of -4042, -4162, -4284, -4408, -4534? -q**2 - 117*q - 3924 What is the h'th term of 22, 164, 364, 616, 914? -h**3 + 35*h**2 + 44*h - 56 What is the c'th term of -289, -521, -753, -985, -1217, -1449? -232*c - 57 What is the c'th term of 224, 1450, 2678, 3908, 5140, 6374, 7610? c**2 + 1223*c - 1000 What is the b'th term of -3223, -3604, -3985, -4366, -4747? -381*b - 2842 What is the u'th term of 887, 886, 869, 824, 739, 602, 401, 124? -2*u**3 + 4*u**2 + u + 884 What is the c'th term of -17, -36, -63, -104, -165, -252, -371? -c**3 + 2*c**2 - 18*c What is the l'th term of 154, 150, 144, 136, 126, 114? -l**2 - l + 156 What is the o'th term of -2715, -2709, -2703, -2697? 6*o - 2721 What is the t'th term of -1025, -995, -941, -851, -713? 2*t**3 + 16*t - 1043 What is the f'th term of 72, 210, 600, 1368, 2640, 4542, 7200? 21*f**3 - 9*f + 60 What is the p'th term of 121, 166, 237, 340, 481, 666? p**3 + 7*p**2 + 17*p + 96 What is the k'th term of 10590, 10501, 10400, 10281, 10138, 9965? -k**3 - 82*k + 10673 What is the m'th term of -1934, -3882, -5830? -1948*m + 14 What is the o'th term of -4922, -5049, -5262, -5561, -5946? -43*o**2 + 2*o - 4881 What is the v'th term of 1135, 4398, 9831, 17434? 1085*v**2 + 8*v + 42 What is the s'th term of -25548, -25532, -25516? 16*s - 25564 What is the f'th term of 34, 122, 266, 466, 722, 1034? 28*f**2 + 4*f + 2 What is the a'th term of -1683457, -1683458, -1683459, -1683460? -a - 1683456 What is the w'th term of -5573, -22323, -50233, -89297, -139509, -200863, -273353, -356973? w**3 - 5586*w**2 + w + 11 What is the h'th term of -29450, -58925, -88388, -117833, -147254? h**3 - 29482*h + 31 What is the t'th term of -29976, -59935, -89894, -119853? -29959*t - 17 What is the o'th term of 25642, 51289, 76940, 102595, 128254, 153917, 179584? 2*o**2 + 25641*o - 1 What is the v'th term of -104256, -104276, -104310, -104358, -104420? -7*v**2 + v - 104250 What is the x'th term of 2210261, 2210263, 2210265? 2*x + 2210259 What is the h'th term of 1007914, 1007915, 1007914, 1007911, 1007906, 1007899? -h**2 + 4*h + 1007911 What is the z'th term of 2355, 4622, 6891, 9162? z**2 + 2264*z + 90 What is the a'th term of 800, 1574, 2322, 3044, 3740? -13*a**2 + 813*a What is the b'th term of -12017, -24028, -36029, -48020, -60001, -71972? 5*b**2 - 12026*b + 4 What is the n'th term of -169, -655, -1481, -2659, -4201, -6119, -8425? -2*n**3 - 158*n**2 + 2*n - 11 What is the s'th term of 51915, 103843, 155771, 207699, 259627? 51928*s - 13 What is the i'th term of -72917, -145846, -218783, -291728, -364681? -4*i**2 - 72917*i + 4 What is the s'th term of -115067, -230138, -345211, -460286, -575363? -s**2 - 115068*s + 2 What is the q'th term of -39856, -39858, -39860? -2*q - 39854 What is the u'th term of -7, 298, 799, 1496, 2389? 98*u**2 + 11*u - 116 What is the z'th term of -180, -414, -648, -882, -1116? -234*z + 54 What is the p'th term of -236836, -236838, -236840? -2*p - 236834 What is the l'th term of 355, 696, 1039, 1384, 1731? l**2 + 338*l + 16 What is the a'th term of 9619, 9707, 9795? 88*a + 9531 What is the i'th term of 5157398, 5157397, 5157396, 5157395, 5157394? -i + 5157399 What is the w'th term of -1357, -5710, -12963, -23116? -1450*w**2 - 3*w + 96 What is the b'th term of 2896, 5943, 8988, 12031, 15072? -b**2 + 3050*b - 153 What is the x'th term of -240, -447, -634, -789, -900, -955, -942? 2*x**3 - 2*x**2 - 215*x - 25 What is the p'th term of 238357, 238351, 238343, 238333? -p**2 - 3*p + 238361 What is the p'th term of -1123, -1140, -1157? -17*p - 1106 What is the l'th term of -1634, -2259, -2884, -3509? -625*l - 1009 What is the i'th term of 7657, 15308, 22951, 30586, 38213? -4*i**2 + 7663*i - 2 What is the s'th term of -61, -306, -551, -796, -1041, -1286? -245*s + 184 What is the c'th term of 482, 945, 1380, 1775, 2118? -2*c**3 - 2*c**2 + 483*c + 3 What is the c'th term of -233, -88, 61, 214? 2*c**2 + 139*c - 374 What is the g'th term of -353, -781, -1279, -1847, -2485, -3193, -3971? -35*g**2 - 323*g + 5 What is the p'th term of -10, -53, -84, -73, 10? 5*p**3 - 24*p**2 - 6*p + 15 What is the z'th term of 16696, 16678, 16632, 16546, 16408, 16206, 15928, 15562? -2*z**3 - 2*z**2 + 2*z + 16698 What is the k'th term of -130, -159, -158, -109, 6, 205, 506? 3*k**3 - 3*k**2 - 41*k - 89 What is the d'th term of 90, 0, -114, -252, -414, -600? -12*d**2 - 54*d + 156 What is the u'th term of 182, 358, 534? 176*u + 6 What is the k'th term of 1668, 1678, 1706, 1758, 1840, 1958, 2118? k**3 + 3*k**2 - 6*k + 1670 What is the r'th term of -4429, -4437, -4449, -4465, -4485? -2*r**2 - 2*r - 4425 What is the z'th term of -60276, -120560, -180844, -241128, -301412, -361696? -60284*z + 8 What is the g'th term of -5052, -10088, -15106, -20106, -25088? 9*g**2 - 5063*g + 2 What is the r'th term of 71049, 142097, 213145? 71048*r + 1 What is the g'th term of -12006, -12012, -12028, -12060, -12114, -12196? -g**3 + g**2 - 2*g - 12004 What is the o'th term of 1004, 1085, 1156, 1217, 1268, 1309, 1340? -5*o**2 + 96*o + 913 What is the r'th term of -510, -525, -556, -609, -690? -r**3 - 2*r**2 - 2*r - 505 What is the a'th term of 18209, 72837, 163883, 291347, 455229, 655529, 892247? 18209*a**2 + a - 1 What is the u'th term of -14733, -14772, -14881, -15096, -15453, -15988, -16737, -17736? -6*u**3 + u**2 - 14728 What is the m'th term of 16, -82, -372, -950, -1912? -16*m**3 + 14*m + 18 What is the m'th term of -12243, -12245, -12247, -12249, -12251? -2*m - 12241 What is the h'th term of -2507352, -2507352, -2507350, -2507346, -2507340, -2507332? h**2 - 3*h - 2507350 What is the q'th term of -3187, -12696, -28545, -50734, -79263, -114132? -3170*q**2 + q - 18 What is the z'th term of -50, -106, -236, -476, -862, -1430, -2216, -3256? -6*z**3 - z**2 - 11*z - 32 What is the c'th term of -109, 28, 253, 566, 967, 1456? 44*c**2 + 5*c - 158 What is the t'th term of -140, -702, -1680, -3110, -5028, -7470, -10472, -14070? -6*t**3 - 172*t**2 - 4*t + 42 What is the z'th term of -4416, -4439, -4480, -4539, -4616, -4711, -4824? -9*z**2 + 4*z - 4411 What is the h'th term of -122789, -122787, -122785, -122783? 2*h - 122791
Let o = -109 + 116.7. Let i = 4.6 - o. Let c = 3.2 + i. Is 36 greater than c? True Let n(m) = -m**3 + 17*m**2 + m - 15. Let z be n(17). Suppose -4*f + 43 = a, a + 33 = 3*f + z*a. Suppose -16*y - 186 = -f*y. Which is bigger: y or -30? -30 Suppose 5*k - 4 = k. Suppose 2*s = 5*h - 139, -2*h + 3*s = 124 - 184. Is h < k? False Let q be (94020/(-80))/(6/(-8)). Suppose 11*g - 16*g + q = -4*w, -w - 3*g = 379. Do w and -388 have different values? False Let o = 8 - 26. Let f = 3.62288 + -0.62288. Is f smaller than o? False Let b(d) = -4*d**3 - 8*d**2 + 12*d - 35. Let o(z) = 9*z**3 + 15*z**2 - 25*z + 69. Let r(s) = -7*b(s) - 3*o(s). Let u be r(-12). Which is smaller: 2/83 or u? 2/83 Let v be ((-11)/(-7))/(9/5742). Let o = v - 1008. Suppose -5*f - 10*r - 29 = -9*r, 0 = -2*f + 2*r - 2. Is f at most as big as o? False Let t = 136 - 88. Let o be 14/4 + 1/2. Suppose t = 5*k - o*x, 6*k - 39 = 3*k - x. Which is bigger: 11 or k? k Let x = 518 - 416. Suppose w + 3*o = -x, 392 = -3*w - w - 4*o. Are w and -97 equal? False Let y = 410959 + -410914. Suppose t - 11 - 34 = 0. Is t < y? False Suppose -39*h - 7*h - 456 = 11*h. Let n(x) = -x + 5. Let z be n(-8). Is z less than h? False Let i = 68/99 + -10/11. Let h = -53213/30 + 8868/5. Which is smaller: h or i? i Suppose 3*s = -2*a + 572, 6*s + 264 = a + 2*s. Suppose -a*d - 4 = -284*d. Which is greater: d or 12/35? d Suppose -5 = f - 2*f. Let x(h) = h**3 + 6*h**2 + 2*h - 8. Suppose -13*z = -8*z + 25. Let b be x(z). Which is smaller: f or b? f Let l = 22 + -18. Suppose l*d = z - 3 - 89, 5*d + 4*z = -94. Let h be (-16)/(-12) + d/(-6). Which is greater: 7 or h? 7 Let b = 116 + -115.919. Let a = 12.919 + b. Which is greater: a or 3? a Let z = -195 - -194.88. Let p = z - -0.32. Suppose 0 = -4*l - 3*u + 36, 4*u - 18 = -4*l + 2*l. Is p bigger than l? False Let c = 10077 + -10064. Which is bigger: 31 or c? 31 Let i = 64488241/7124 - 36209/4. Is i less than -1? False Let f = -40/293 - -90617/586. Is f < -0.3? False Let d(p) = p**2 + 9*p - 12. Let j be d(-10). Let a = 37/3 - 662/51. Which is bigger: j or a? a Let r = -8/2139 - -19315/17112. Which is greater: 75 or r? 75 Suppose 3*b = i - 0*i - 77, 5*b - 203 = -3*i. Suppose -j = 28 - i. Let v be 9/(-6)*176/(-6). Is v at most as big as j? False Let h = 372 + -572. Suppose 3*c - 3*r + 4*r + 593 = 0, 4*c - 4*r = -812. Which is smaller: c or h? h Let d = 0.284 - 1.474. Let s = 1.46 + d. Let x = 1.37 - s. Are 0.2 and x non-equal? True Let c(q) = 96*q + 13. Let x be c(2). Let m = x - 204. Is -1/256 greater than m? False Let w = 6946/70668430929 + -2539140099745919251/9364203113970861. Let t = w - -4/91737. Let j = t + 271. Is j greater than 1/4? False Let k = -40.76 - -30.76. Does k = -0.6? False Let h(y) be the third derivative of y**6/120 - 3*y**4/8 + y**3 - 15*y**2. Let g be h(3). Let t be (g/(-4))/(39/104). Which is smaller: -5 or t? -5 Let t = -0.0217 + -0.0541. Which is bigger: t or -1? t Let w be (6 - 2) + (13 - 7). Suppose 3*q + 1480 = -q. Let a be ((-6)/(-15))/((-16)/q). Which is greater: a or w? w Let n(v) = -2*v**2 - 22*v + 7. Let y be n(-11). Suppose -y*k - 306 = 142. Let c = k + 63. Which is bigger: c or 2/7? 2/7 Let k be 178/91 - (-6)/(-3). Suppose -291*h = -290*h + 1. Which is bigger: k or h? k Let j be (0 - 0) + 0 + 0. Let w(m) be the second derivative of 5*m**3/3 - 109*m**2/2 + 230*m. Let q be w(11). Are q and j non-equal? True Let w = -42690 - -42691. Let g = -3806/3 - -3185624/2511. Is w not equal to g? True Suppose -4*i + 2*i + 64 = 0. Let f = 16 - i. Let t be 12/(-90) - f/75. Is t < -1? False Let r = -101.8 + 101.042. Which is bigger: r or 3? 3 Let g = 1864.7 - 1905.1. Which is smaller: g or -4/7? g Let c(q) = -2*q**2 + q - 6. Let n(k) = -k**3 - 16*k**2 - 28*k + 5. Let s be n(-14). Let x be c(s). Let o be 1/(((-3)/(-156))/(-1)). Which is smaller: x or o? o Let a = 24215/237 + 157/158. Which is smaller: a or 103? 103 Let j = -2093 - -2061. Which is smaller: 9 or j? j Let c = 5290 - 5289.968. Is c smaller than 1/80? False Suppose 6*q - 3*b - 12 = 4*q, -2*q = 3*b. Suppose -q*n = -10*n. Which is bigger: -4/93 or n? n Let s = 10370 - 1016305/98. Is -1 less than s? True Let r(l) = l**3 + 34*l**2 - 73*l - 56. Suppose -7*f - 132 - 120 = 0. Let h be r(f). Are -20 and h unequal? False Suppose 2*c = -c. Suppose -4*i + 145*b - 148*b = -18480, 0 = -4*i - b + 18480. Let q = i + -1178098/255. Is c >= q? False Let u = -18/61 - -24347/82716. Let f(t) = 2*t**2 + 510*t - 511. Let h be f(1). Is h at least u? True Let v = -85 - -43. Let s = -25741 - -25696. Is s >= v? False Let p(a) = -20*a - 130. Let f be p(-8). Let m = 18 + -18. Let b be 116/4 + m + 2. Which is greater: b or f? b Let h(y) = -3*y - 51. Let f be h(-18). Suppose f*d + 151 + 293 = 0. Is d not equal to -149? True Suppose 241 = 13*x + 267 - 169. Is 9 != x? True Suppose -1375 = 18*c - 791 + 1252. Is c at most -100? True Suppose 2*f - 7*f + 20 = 0. Suppose 0 = -5*l - 4*j + 75, 0 = -f*l - 0*j + j + 60. Let i be -31*(9/l)/3 + 2. Is i at least as big as -1? False Let s be ((-3)/2)/((-108)/1152)*(-39)/(-135). Is s smaller than 4? False Let r = 113.51 + -114. Let s = r + 0.39. Which is greater: s or 4/3? 4/3 Let r be (1/4)/(13/(-6)). Suppose -2*k - 7 = -3*w, 26*w - 23*w - 5 = k. Does r = w? False Let l(y) = 4*y**2 - 11*y + 15. Let o(v) = v**2 - 3*v + 4. Let q(w) = -2*l(w) + 9*o(w). Let x be q(4). Let z be 24/(-72) + x/9. Which is smaller: z or 0? z Suppose 899 = 16*s + 15*s. Suppose 4*z + 42*k - 37*k = s, 0 = 3*z + 5*k - 28. Is z at least 8/61? True Let t = 1530146653/1081 + -1415492. Let o = 22/47 - t. Let h = -361/483 + o. Which is bigger: -1 or h? h Suppose 41*o - 35*o = -606. Let z = 403/4 + o. Let g = -7 + 5. Is z less than or equal to g? False Suppose 2*u - 89*p = -84*p + 6220, 5*p = 30. Is 3124 < u? True Let h = 8722 - 13756. Do -5035 and h have different values? True Let o = 7.134 - 0.034. Let s = 68463 + -68463. Which is greater: o or s? o Let m = 10328 - 10328. Is m less than or equal to 7/755? True Let f be 4 - (46134/231 - (-2)/7). Which is smaller: -190 or f? f Let v = 59 - -123. Let s = v - 189.3. Let y = s + 9.3. Is y >= -32? True Suppose -2*t - 423*u = -427*u - 26, 34 = t - 5*u. Which is smaller: t or -23/31? t Let d = -23 + -243. Let a = -272 - d. Is 18 <= a? False Let w be (80/(-20))/((-10)/(-13150)). Is -5260 at least w? True Let z = -4978 + 4981.8. Which is bigger: z or -34? z Let n = 1846 - 1848. Suppose -23 = -4*g + 1. Suppose 7*q = 10*q - g. Is n bigger than q? False Let j = -26 - 3. Let d = -301 - -272. Is d less than or equal to j? True Let q be 3 + -1 + -3 + 18. Let w be (16/(-7))/(1 + 64/(-56)). Suppose i + w = q. Which is smaller: i or 1/34? 1/34 Let o be (-2)/(-4) + (-767)/26. Let k(x) = 3*x. Let c be k(-6). Let j be (c/8)/(3/40). Is o smaller than j? False Let u(g) = g**3 - 7*g**2 - 6*g - 21. Let y be u(8). Let x be -2 + -13 - (y - -3). Let a(s) = -2*s + 1. Let k be a(6). Which is greater: k or x? k Let f = -7937 + 8897373/1121. Which is smaller: f or 0? f Let r = -49 + 52. Suppose -3*y - 12 = -5*p - 2*y, -3*y = -r*p. Let m be ((-4)/88)/(p/(-9)). Which is bigger: 0 or m? m Let b be (-4)/((-4)/(-25)) - 3. Let r = 30 + b. Suppose 0 = -6*x + r*x. Which is smaller: x or 4? x Suppose 2*s + 3 = 7, -157 = 5*y - s. Suppose -5*d = 10, 4*r - 25 + 3 = 5*d. Let u be 0 - 26 - (r - -1). Which is smaller: u or y? y Suppose 3*b = -412*z + 411*z + 3239, -b = -2*z - 1068. Which is greater: 1080 or b? 1080 Suppose 79*r - 87*r - 40 = 0. Let g be (-594)/(-110) + (r - 0). Which is smaller: g or -7/2? -7/2 Suppose -252*f + 2327 + 2161 = -264*f. Which is greater: -371 or f? -371 Let h(m) = -2*m**2 - 4*m + 9. Let z be h(-5). Let r be (-28)/z + -2 + (-292)/(-42). Which is bigger: r or 6? r Suppose 3*q + 194 = -4*v + q, 3*v + 139 = 5*q. Let p be v - ((-3)/4 - (-90)/(-40)). Are p and -44 nonequal? True Let i(o) = -o**3 - 7*o**2 - o - 3. Let h be i(-7). Suppose 0 = 3*r, -5*d + r = -h*r + 10. Let a = 8619/20 + -1731/4. Is a at most as big as d? False Let k = -114 - -114. Suppose k = -4*c - c + 5. Let j be c/(34 - 6/2). Are j and 1 nonequal? True Let l = -839 + 838.95. Which is greater: -0.0531 or l? l Let m(j) = -1. Let a(u) = u - 21. Let b(z) = a(z) + 2*m(z). Let n be b(20). Let o = 55 - 117/2. Which is smaller: o or n? o Suppose 5*y - 20 = -10. Suppose y*a + 5*w = -0*a - 27, 0 = -a - 4*w - 9. Which is smaller: -23 or a? -23 Suppose 0 = z - 41*z + 1520. Which is smaller: 45 or z? z Suppose -3*r - 2*g + 3*g + 11 = 0, -4*g - 10 = 5*r. Let q = 198 - 197.77. Which is bigger: r or q? r
What is the v'th term of 3, 693, 1885, 3579, 5775, 8473, 11673? 251*v**2 - 63*v - 185 What is the w'th term of 2712, 5430, 8160, 10908, 13680, 16482, 19320, 22200? w**3 + 2711*w What is the m'th term of -63, -84, -63, 6, 129, 312, 561, 882? m**3 + 15*m**2 - 73*m - 6 What is the d'th term of -1959, -1944, -1919, -1884, -1839? 5*d**2 - 1964 What is the u'th term of -67652, -270614, -608882, -1082456, -1691336? -67653*u**2 - 3*u + 4 What is the c'th term of -3816, -3832, -3858, -3894, -3940, -3996, -4062? -5*c**2 - c - 3810 What is the z'th term of 105, 401, 879, 1527, 2333, 3285? -2*z**3 + 103*z**2 + z + 3 What is the m'th term of 467, 2061, 4713, 8423, 13191, 19017, 25901? 529*m**2 + 7*m - 69 What is the i'th term of 287, 417, 547, 671, 783? -i**3 + 6*i**2 + 119*i + 163 What is the k'th term of -196, -111, -26, 59? 85*k - 281 What is the b'th term of 132, 77, 22, -33, -88, -143? -55*b + 187 What is the z'th term of -68773, -68764, -68747, -68722, -68689? 4*z**2 - 3*z - 68774 What is the q'th term of -3377, -3421, -3465? -44*q - 3333 What is the x'th term of 207421, 207419, 207417? -2*x + 207423 What is the v'th term of 3282, 13135, 29556, 52545, 82102? 3284*v**2 + v - 3 What is the t'th term of -389, -992, -1809, -2840? -107*t**2 - 282*t What is the y'th term of -956, -1721, -2472, -3203, -3908, -4581, -5216, -5807? y**3 + y**2 - 775*y - 183 What is the c'th term of -6035, -12022, -17953, -23828? 28*c**2 - 6071*c + 8 What is the z'th term of -10045, -10072, -10125, -10216, -10357, -10560? -2*z**3 - z**2 - 10*z - 10032 What is the t'th term of 42, 356, 904, 1704, 2774, 4132, 5796, 7784? 3*t**3 + 99*t**2 - 4*t - 56 What is the p'th term of -5391, -10772, -16153, -21534, -26915, -32296? -5381*p - 10 What is the z'th term of -24865, -24924, -24983, -25042? -59*z - 24806 What is the w'th term of -32, -163, -376, -671, -1048, -1507, -2048? -41*w**2 - 8*w + 17 What is the m'th term of 144198, 144197, 144194, 144189, 144182, 144173? -m**2 + 2*m + 144197 What is the d'th term of 26003, 52014, 78025, 104036? 26011*d - 8 What is the y'th term of -702, -676, -650? 26*y - 728 What is the p'th term of 20759, 20755, 20751? -4*p + 20763 What is the a'th term of -86, -294, -644, -1136? -71*a**2 + 5*a - 20 What is the p'th term of 19870, 39750, 59632, 79516, 99402? p**2 + 19877*p - 8 What is the k'th term of -40, -94, -170, -262, -364, -470, -574, -670? k**3 - 17*k**2 - 10*k - 14 What is the a'th term of -4173, -8371, -12595, -16857, -21169, -25543, -29991, -34525? -2*a**3 - a**2 - 4181*a + 11 What is the z'th term of 384, 458, 590, 780, 1028, 1334, 1698? 29*z**2 - 13*z + 368 What is the a'th term of -78819, -157595, -236363, -315117, -393851, -472559, -551235? a**3 - 2*a**2 - 78777*a - 41 What is the m'th term of 91, 348, 759, 1306, 1971, 2736, 3583? -3*m**3 + 95*m**2 - 7*m + 6 What is the v'th term of -94, 115, 656, 1529, 2734, 4271, 6140? 166*v**2 - 289*v + 29 What is the l'th term of 5006, 5034, 5056, 5066, 5058, 5026, 4964? -l**3 + 3*l**2 + 26*l + 4978 What is the s'th term of -43, -163, -363, -643, -1003, -1443? -40*s**2 - 3 What is the m'th term of 68025, 68026, 68027, 68028, 68029? m + 68024 What is the k'th term of 1057, 2111, 3165, 4219, 5273, 6327? 1054*k + 3 What is the j'th term of -105790, -211581, -317372, -423163, -528954, -634745? -105791*j + 1 What is the w'th term of 474890, 474889, 474888, 474887, 474886? -w + 474891 What is the l'th term of -358942, -358941, -358940, -358939, -358938? l - 358943 What is the q'th term of 759, 2964, 6641, 11790, 18411? 736*q**2 - 3*q + 26 What is the l'th term of -11, -71, -227, -527, -1019? -8*l**3 - 4*l + 1 What is the s'th term of 65317, 65318, 65319, 65320, 65321? s + 65316 What is the i'th term of -34769, -69534, -104299? -34765*i - 4 What is the y'th term of 262, -316, -1280, -2630? -193*y**2 + y + 454 What is the h'th term of -348710, -697417, -1046124, -1394831? -348707*h - 3 What is the z'th term of 549, 2618, 6199, 11292, 17897, 26014, 35643? 756*z**2 - 199*z - 8 What is the t'th term of -4, -39, -132, -313, -612, -1059, -1684? -5*t**3 + t**2 - 3*t + 3 What is the h'th term of 3270, 6555, 9828, 13083, 16314, 19515, 22680? -h**3 + 3292*h - 21 What is the g'th term of 632, 653, 700, 779, 896, 1057, 1268, 1535? g**3 + 7*g**2 - 7*g + 631 What is the y'th term of -4240, -8486, -12730, -16966, -21188, -25390, -29566, -33710? y**3 - 5*y**2 - 4238*y + 2 What is the b'th term of -173, 892, 1957, 3022? 1065*b - 1238 What is the x'th term of 123, 1101, 3933, 9603, 19095, 33393, 53481? 164*x**3 - 57*x**2 + x + 15 What is the n'th term of -48425, -48430, -48435, -48440, -48445, -48450? -5*n - 48420 What is the r'th term of 407, 811, 1205, 1583, 1939? -r**3 + r**2 + 408*r - 1 What is the r'th term of 16025, 32014, 47991, 63950, 79885, 95790? -r**3 + 15996*r + 30 What is the i'th term of -1275, -1283, -1303, -1341, -1403, -1495? -i**3 - i - 1273 What is the g'th term of -1364, -1414, -1540, -1778, -2164, -2734? -6*g**3 - 2*g**2 - 2*g - 1354 What is the k'th term of 263, 154, -157, -772, -1793, -3322, -5461, -8312? -17*k**3 + k**2 + 7*k + 272 What is the t'th term of 66701, 266815, 600339, 1067273, 1667617? 66705*t**2 - t - 3 What is the n'th term of -517, -995, -1481, -1975, -2477? -4*n**2 - 466*n - 47 What is the w'th term of -126, -200, -338, -558, -878, -1316, -1890? -3*w**3 - 14*w**2 - 11*w - 98 What is the o'th term of 9017, 8927, 8837, 8747, 8657? -90*o + 9107 What is the n'th term of 367317, 734636, 1101955, 1469274, 1836593? 367319*n - 2 What is the s'th term of -410, 167, 732, 1279, 1802? -s**3 + 584*s - 993 What is the y'th term of -1610, -1891, -2172, -2453, -2734? -281*y - 1329 What is the y'th term of -66083, -132158, -198233, -264308, -330383, -396458? -66075*y - 8 What is the z'th term of -585, 59, 1133, 2637? 215*z**2 - z - 799 What is the s'th term of 255, 500, 745, 990? 245*s + 10 What is the w'th term of -372, -2370, -7798, -18372, -35808, -61822? -286*w**3 + w**2 + w - 88 What is the p'th term of -348, -671, -1020, -1407, -1844, -2343? -2*p**3 - p**2 - 306*p - 39 What is the o'th term of -5280, -10590, -15888, -21168, -26424? o**3 - 5317*o + 36 What is the m'th term of 535, 1102, 1667, 2230, 2791, 3350? -m**2 + 570*m - 34 What is the n'th term of 665, 2677, 6039, 10763, 16861, 24345, 33227, 43519? 2*n**3 + 663*n**2 + 9*n - 9 What is the x'th term of -8701, -17402, -26103, -34804, -43505? -8701*x What is the w'th term of 180497, 180489, 180467, 180425, 180357, 180257, 180119, 179937? -w**3 - w**2 + 2*w + 180497 What is the k'th term of 1278, 1143, 1010, 879, 750, 623? k**2 - 138*k + 1415 What is the m'th term of 103, 399, 857, 1477? 81*m**2 + 53*m - 31 What is the b'th term of 1231, 1383, 1535, 1687, 1839, 1991? 152*b + 1079 What is the c'th term of -68, -220, -536, -1100, -1996, -3308, -5120? -14*c**3 + 2*c**2 - 60*c + 4 What is the n'th term of -1629, -6506, -14635, -26016, -40649, -58534? -1626*n**2 + n - 4 What is the z'th term of 46, 201, 550, 1189, 2214, 3721, 5806? 16*z**3 + z**2 + 40*z - 11 What is the z'th term of -4577, -4571, -4565, -4559? 6*z - 4583 What is the l'th term of -4363, -17402, -39115, -69502, -108563? -4337*l**2 - 28*l + 2 What is the m'th term of 16, -210, -830, -2042, -4044, -7034? -33*m**3 + m**2 + 2*m + 46 What is the h'th term of 164, 141, 80, -37, -228? -3*h**3 - h**2 + h + 167 What is the j'th term of 912, 1114, 1316, 1518, 1720, 1922? 202*j + 710 What is the t'th term of 29, 400, 1035, 1940, 3121, 4584, 6335, 8380? t**3 + 126*t**2 - 14*t - 84 What is the t'th term of -4254, -4256, -4258, -4260, -4262? -2*t - 4252 What is the o'th term of 539, 549, 563, 581, 603? 2*o**2 + 4*o + 533 What is the g'th term of 5424, 5385, 5346, 5307? -39*g + 5463 What is the y'th term of -2551, -2659, -2839, -3091, -3415, -3811? -36*y**2 - 2515 What is the f'th term of 91944, 183888, 275832, 367776? 91944*f What is the j'th term of -77862, -77861, -77860? j - 77863 What is the p'th term of -569, -1140, -1731, -2354, -3021? -2*p**3 + 2*p**2 - 563*p - 6 What is the u'th term of -120, -513, -1168, -2085, -3264, -4705, -6408? -131*u**2 + 11 What is the y'th term of 232, 916, 2052, 3640? 226*y**2 + 6*y What is the s'th term of -242, -887, -1938, -3395, -5258, -7527, -10202? -203*s**2 - 36*s - 3 What is the v'th term of -11436, -22890, -34344, -45798, -57252, -68706? -11454*v + 18 What is the j'th term of -368, -694, -1000, -1286, -1552? 10*j**2 - 356*j - 22 What is the l'th term of -41326, -41323, -41320, -41317, -41314, -41311? 3*l - 41329
Let l = 109 + -61. Let m be 16/(-6)*l/(-32). Let s be 4 + ((-3)/14 - m). Do s and -1 have different values? True Let o be -10*((2025/18)/(-25) - -31). Which is smaller: -264 or o? o Let t = -8051 + 8050.8. Do t and -270 have the same value? False Let t be (-10 + 1)*(-154)/42. Suppose 43 = -4*g - 5*a, -30*g + t*g = -a - 35. Is g greater than or equal to -21? True Suppose 19 = -z - v, -69 = 4*z + 49*v - 44*v. Which is bigger: -334 or z? z Suppose -5*s + 11*s = -60. Suppose 2*u - 18 = -5*h, 3*u + 3*h - 27 = -h. Let f = u + -11. Which is greater: s or f? f Let a = 230 + -239. Suppose 15 = 3*c - 3*o, 3*o + 10 = -c - c. Suppose -r + 0 - c = -g, 3*r = 2*g - 1. Which is smaller: a or g? a Let k = 3 + -4. Let h be 1 - 5 - (-33605)/8366. Is h less than k? False Let r be (4/(-12))/((-1)/3). Suppose 21*c = -430 + 10. Does r = c? False Suppose -u = 2*f - 6, 3*u = -f - u + 17. Let o be (-3*(-1)/4)/((-69)/24). Let g = 377/1357 + o. Which is smaller: f or g? g Let m(s) = -24*s + 44. Let t be m(1). Let c be 4 + (t/(-5) - -3 - -2). Is c greater than 11? False Let w(p) = -p**3 - 9*p**2 - 8*p + 4. Let l be w(-8). Suppose -l*z - 5*i = -7, -z = 4*z + 4*i - 2. Let k be z/(-5) - 108/45. Are k and -3/4 equal? False Let d = -1033 - -1034. Let j be (-3)/(234/52*d/12). Suppose t = 4*h - 3*t + 40, -3*h - 3*t = 24. Is h not equal to j? True Suppose 59 = -15*y - 616. Suppose -3 - 22 = -5*k. Suppose 3*u + 62 = -k*q - 159, 3*u = -2*q - 83. Which is bigger: q or y? y Let s(p) = -p**3 + 8*p**2 + 9*p. Let r be s(9). Let d be (-228)/(-117) - (r + 2). Let x = -822.3 + 822. Which is greater: x or d? d Let z be (52/(-8))/((-130)/30). Are z and 0.025 nonequal? True Let m = -181 - -118. Suppose 0*x - 128 = 2*x. Which is bigger: x or m? m Suppose 32 = -3*x - 5*j, -5*j + 45 = -x + 1. Which is smaller: x or -18? x Let o = -62639.5 + 62633. Let i = 0 - 0.2. Let v = 0.3 + i. Which is greater: v or o? v Let j(o) = 6*o**2 + 35*o - 404. Let c be j(11). Is 702 at most as big as c? True Suppose -345 + 298 = 47*s. Which is smaller: -31/15 or s? -31/15 Let b(j) = -10*j - 201. Let c be 0*(-3)/(-15) - 20. Let l be b(c). Is l less than -2/91? True Let b be ((-806)/39 - -17)*(-34 + -1 - -2). Which is bigger: b or 19? b Let q be ((-44)/(-33))/((-2)/6549*-1). Let p = q - 3071. Let x be (-1)/(-3) + (4 - p/294). Is x at most 1? True Let b = -84 + -66. Let t = -90 - b. Let j be (4/t)/(12/5). Is j equal to -1? False Let i(u) be the second derivative of u**5/20 - 5*u**4/12 + u**3/2 - 8*u**2 - 14*u. Let x = 13 + -8. Let g be i(x). Is g <= -1? True Let z(i) = -418*i + 50. Let t be z(14). Let k = t + 11374. Let q = k - 72376/13. Is q at least 5? False Let a be (-1440)/(-432)*(-6)/(-50). Which is bigger: 91 or a? 91 Let n = -0.5 + -4.5. Let d = 215.8 - 186.8. Let x = n + d. Which is smaller: -3 or x? -3 Let o(x) = 68*x + 3. Let j be o(2). Suppose 3*g + g + l = j, -2*g - l = -71. Is g > 35? False Let f = -20 + 59. Let u = -19 + f. Suppose 0 = 4*y + 4*v + u, 5 = -2*y + 4*y - 3*v. Which is bigger: 0 or y? 0 Suppose 4*v - 25*v + 3443 - 1238 = 0. Which is smaller: v or 98? 98 Suppose -758 = 5*x + 305*c - 307*c, -5*c - 338 = 2*x. Are x and -142 unequal? True Suppose -7 = 3*v + 23. Let w be v/28*(2 - 395/200). Is 0 greater than w? True Suppose -2*b + 7*b - 2*t = 6, 2*b = -3*t + 10. Suppose 3*m - 2*w = -2184, -b*m - 3*w - 1456 = -6*w. Let o be (-296)/m - 1*6/14. Which is greater: 1 or o? 1 Let z = -263 + 265. Suppose -z*y + l = -3*l - 8, 3*y = -2*l + 4. Let m = -0.7 + 1.5. Are y and m equal? False Let v = -30 + 35. Suppose 0*y - v*y = 80. Is -13 <= y? False Suppose -164242 + 644725 = 197*h. Is 2439 equal to h? True Let q = 14.972 + -6784.972. Is q at most as big as 1? True Let k(o) = 4*o**2 + 40*o - 7. Let c be k(6). Let y = -428 + c. Suppose -5*q - 259 = t, 2*q - 4*q + 5*t = 82. Is y != q? False Let z = -188.87815 + -0.22185. Does 0.2 = z? False Let m be 38/8 - 2/(-8). Let z be (6/(-35))/(714/1190) - 51/(-7). Is z bigger than m? True Let g(w) = -w + 6. Let i be g(8). Let h(b) = -2*b**2 + 52*b - 301. Let x be h(18). Is x less than i? True Let l = 3799 + -3801. Is l at most -70/69? True Let c = -4775 - -3939. Is c != -2/7? True Let s(y) = y**2 + 7*y - 3880. Let t be s(61). Which is smaller: t or 274? t Let w(s) = 6*s**2 + 139*s + 154. Let m be w(-22). Which is greater: 0.03575 or m? 0.03575 Let q = 1640 - 1641. Let n = 14821265/13 - 1139494. Let o = n - 603. Which is bigger: q or o? o Suppose -5*a + 20 = -a. Suppose 3*p = -3*o - 6, -a*p = o + o + 4. Let d = 6/43 - 546/215. Which is bigger: o or d? o Let j = 1.6099 + -1.5435. Which is smaller: j or 0.05? 0.05 Let r(w) = 9*w - 47. Let t be r(6). Suppose -4*o - o - t = 2*d, 3*d = -3*o - 15. Which is smaller: d or -7? -7 Let c = -153 - -158. Suppose c*i - 4*f = 80, 7*i - 5*i - 65 = -5*f. Which is smaller: 8 or i? 8 Let w be -20*(11865/12 - -6). Let u be (-1)/(-1*5) - (-4094)/w. Is u != -1? True Let c be 240/(-75)*(-60)/48. Which is smaller: -66.6 or c? -66.6 Suppose 217*j + 263 = -171. Is 76 > j? True Let x = -13461 - -13462. Are 2/14905 and x nonequal? True Let d(q) = -19*q**2 + 174*q - 829. Let g be d(5). Is g greater than or equal to -437? True Let o = 4267 + -4263. Let x = 1 + -0.8. Let p = -7.2 + x. Which is bigger: o or p? o Let m = 0.791 + -0.7219. Is -8 bigger than m? False Let r = 154 + -156. Let d be ((-152)/(-6)*(-2 + -1))/r. Which is smaller: d or 35? 35 Suppose 2*q = -2, -2*c - 5*q - 17 = -5*c. Let l(w) = -w**3 + 26*w**2 - 132*w - 8. Let t be l(7). Let f be c*(-4 - t - -2). Is f at most -3/4? True Let k = -139 + 369. Let d be ((-24)/60)/(2/k). Let o = 47 + d. Is o < 2? True Let j = 715 - 1119. Let s = j + 574. Is 0 at most as big as s? True Suppose -2*f + 3*j + 64 = 0, 4*f + 139*j = 140*j + 128. Let h = 52 + -23. Suppose 5*v + 2 = c - h, 4*c + 3*v = f. Is 10 smaller than c? True Let s be (-1)/(-2) + 369/(-18). Let q = -13 - s. Let h = 1659 - 1655. Which is greater: h or q? q Let x(t) = -5*t**2 - 16*t + 15. Let k(h) = -6*h**2 - 14*h + 16. Let q(j) = -4*k(j) + 5*x(j). Let p be q(-17). Is p greater than or equal to 129? True Let h be ((-18)/15)/(-4 + (-237)/(-60)). Let y be -4 - (640/(-154) + h/56). Which is greater: y or -0.2? -0.2 Suppose -9 = g + 5*x + 16, 0 = -4*g + x - 58. Let a be (10/(-12))/(4/24*g). Which is greater: -25 or a? a Let t be ((-10)/(-10))/((-9 - -8)/3). Do 365 and t have the same value? False Suppose 4*f = -2*r + 118, r = -5*f - r + 145. Let k(g) = 30*g + 926. Let m be k(-30). Is m < f? True Let o be (3/(-48))/1 - (-120)/(-128). Let q(d) = d + 2. Let a be q(4). Let w be (1 + -3)/(-2) + a + o. Is 5 less than or equal to w? True Let a(g) = g**2 - 41*g + 28. Let t be a(-25). Is t smaller than 1682? True Let g = 119555/587212109 - 3/33427. Is 1 < g? False Let o = 14191 - 19151. Is o equal to -4960? True Suppose -3*y = -4*s, -5*y - 3*s - s = 0. Suppose 7*v - 4*v + 7*v = y. Does v = -1/135? False Let x = -6 - -10. Let o be -118*(-3)/(-60)*x. Which is smaller: -23 or o? o Suppose 56 + 56 = -16*r. Let x(z) = z**3 + 6*z**2 - z + 6. Let b be x(r). Let h = b - -38. Which is bigger: 6/5 or h? h Let o be (615/(-180))/41*(-17559)/3. Are 489 and o nonequal? True Let x = -31444.925 + 31444. Which is greater: -0.7 or x? -0.7 Let i be -7 + 70 - (2 - (2 + -1))*0. Which is bigger: i or 11? i Let d be ((-34)/68)/((-14)/8) + (-2516)/8414. Is d < -1? False Let z be 8 - ((-1912)/50508*-317 - 4). Is z at least 0? False Let j(d) = -d**2 - d - 4. Let c be j(5). Let u(f) = 804*f + 1571. Let g be u(-2). Is g smaller than c? True Suppose 11*j = 21*j + 10. Let c be (15/30)/(j/(-2)). Let i be (-2)/(-8) - 89/388. Which is greater: i or c? c Let n = 83931/7 - 12093. Which is smaller: n or -102? n Suppose -6*t - 196 = 8*t. Let g be -2*49*(-5)/10. Let n be 3/9 + g/(-3). Which is smaller: t or n? n Let r(y) = 2*y**2 + y + 3. Let q be r(9). Let p be ((-25)/15 + 1)/((-4)/q). Suppose 26 - p = 3*b. Which is smaller: -9/8 or b? -9/8 Let b(l) = 5*l**3 + 3*l**2 + 2*l + 1. Let h be b(-1). Let q be -1 + h + 1802/(-5). Let n = q + 366. Is n equal to 3? False Let t = -36.64 - 537.36. Which is smaller: 2 or t? t Suppose -1361*k + 1359*k = 4. Let a be (-21)/(-60)*((-3)/(-21) - 0). Which is bigger: a or k? a Let q = -240.0018 - 48.9752. Let c = -289 - q. Which is greater: c or -1/3? c Suppose -u + 359 - 66 = 2*b, 4*b - 891 = -3*u. Which is bigger: u or 1528/5? 1528/5 Suppose -60*q + 1976 = -47*q. Suppose 2*v - q = m, -4*v + 3*v + 70 = -2*m. Which is smaller: v or 77? 77
Determine i, given that -5*i**3/2 + 76765*i**2/2 + 460745*i/2 + 383975/2 = 0. -5, -1, 15359 Solve 3*n**5/2 + 129*n**4/2 + 957*n**3/2 - 1089*n**2/2 = 0 for n. -33, -11, 0, 1 Let -i**3 - 7886*i**2 + 4*i + 31544 = 0. Calculate i. -7886, -2, 2 Let 4*r**5/7 + 1964*r**4/7 + 1116*r**3 + 9748*r**2/7 + 3896*r/7 = 0. Calculate r. -487, -2, -1, 0 Solve 121*r**2/4 + 1472625*r + 17922515625 = 0 for r. -267750/11 Solve p**4 + 238*p**3 - 49*p**2 - 11782*p - 28560 = 0 for p. -238, -5, -3, 8 Factor -3*t**2 - 96885*t + 96888. -3*(t - 1)*(t + 32296) Solve -v**5/9 + 961*v**4/9 - 4786*v**3/9 + 1912*v**2/3 = 0. 0, 2, 3, 956 Determine u, given that -2*u**2 + 73960*u - 683760200 = 0. 18490 Solve -12*i**5 - 33*i**4 + 18*i**3 + 123*i**2 + 120*i + 36 = 0 for i. -2, -1, -3/4, 2 Factor -h**4/7 + 111701*h**3/7 + 335109*h**2/7 + 47873*h + 111704/7. -(h - 111704)*(h + 1)**3/7 Let -4*z**2/7 - 408*z/7 - 972 = 0. What is z? -81, -21 Suppose 4*h**4/3 - 1564*h**3/3 + 21656*h**2 - 943360*h/3 + 4605952/3 = 0. Calculate h. 13, 16, 346 Factor -2*m**4/3 - 454*m**3 - 906*m**2 - 1358*m/3. -2*m*(m + 1)**2*(m + 679)/3 Find r, given that -789*r**5/8 - 387*r**4/4 + 15*r**3/8 = 0. -1, 0, 5/263 Factor -2*l**2 - 2288*l - 542030. -2*(l + 335)*(l + 809) Solve u**5/8 - 21*u**4/4 + 215*u**3/8 + 21*u**2/4 - 27*u = 0 for u. -1, 0, 1, 6, 36 Determine q, given that 16*q**3 + 11276*q**2 + 30876*q - 8424 = 0. -702, -3, 1/4 Determine x, given that 2*x**2/9 + 225256*x/3 + 6342533192 = 0. -168942 Factor 3*p**3/5 + 63*p**2/5 + 168*p/5 - 1152/5. 3*(p - 3)*(p + 8)*(p + 16)/5 Determine a so that -21*a**4 + 353*a**3/5 - 321*a**2/5 + 67*a/5 + 6/5 = 0. -1/15, 3/7, 1, 2 Factor 5*o**4 - 295670*o**3 + 4371037445*o**2. 5*o**2*(o - 29567)**2 Determine v so that 123*v**3 - 1716*v**2 - 33909*v - 1650 = 0. -11, -2/41, 25 Factor v**2 - 868594*v + 188613884209. (v - 434297)**2 What is r in -4*r**2 + 1124*r + 27968 = 0? -23, 304 Factor -25*v**3 - 12630*v**2 + 113125*v + 23130. -5*(v - 9)*(v + 514)*(5*v + 1) Find d such that 2*d**2/5 - 19542*d/5 + 42944 = 0. 11, 9760 Find a, given that a**5/3 - 5*a**4/3 - 229*a**3/3 + 1733*a**2/3 + 76*a - 576 = 0. -16, -1, 1, 9, 12 Factor s**2/2 + 5561*s - 278675/2. (s - 25)*(s + 11147)/2 Factor i**2/5 + 115338*i/5 + 3325713561/5. (i + 57669)**2/5 Determine i so that 3*i**2 + 1127556*i + 1127553 = 0. -375851, -1 Solve 9*h**2/4 - 5691*h/2 + 1896 = 0. 2/3, 1264 What is t in 5*t**2 + 37825*t - 113520 = 0? -7568, 3 Determine v so that v**3 - 14381*v**2 + 28759*v - 14379 = 0. 1, 14379 Determine f, given that 3*f**5/8 + 1233*f**4/8 + 190035*f**3/8 + 13017243*f**2/8 + 167187231*f/4 = 0. -103, -102, 0 Factor x**4/9 + 53*x**3 - 6370*x**2/9. x**2*(x - 13)*(x + 490)/9 Find k, given that 5*k**3 + 165465*k**2 - 827420*k + 992940 = 0. -33098, 2, 3 Find i, given that i**3/3 + 60*i**2 + 1391*i - 389266/3 = 0. -107, 34 Find d, given that -4*d**4 + 10220*d**3 - 6366324*d**2 - 208364364*d + 682114392 = 0. -34, 3, 1293 Factor -2*g**3/5 - 194*g**2/5 - 568*g/5 - 376/5. -2*(g + 1)*(g + 2)*(g + 94)/5 Factor 5*z**2 - 443030*z + 9813779045. 5*(z - 44303)**2 Suppose -63*n**4 + 38496*n**3 + 88221*n**2 + 60702*n + 11040 = 0. What is n? -1, -2/7, 1840/3 Let -2*w**3/13 - 1380*w**2/13 - 5494*w/13 - 4116/13 = 0. What is w? -686, -3, -1 Solve -2*j**3/15 - 7864*j**2/3 - 64406158*j/5 + 128864748/5 = 0 for j. -9831, 2 Factor 3*j**4 - 17070*j**3 - 153792*j**2 - 461538*j - 461619. 3*(j - 5699)*(j + 3)**3 Factor 2*n**2/9 - 854156*n/3 + 91197809042. 2*(n - 640617)**2/9 Factor 3*j**2 + 5310*j + 5307. 3*(j + 1)*(j + 1769) Determine s so that -4*s**4/3 + 196*s**3 + 9712*s**2/3 + 656*s - 36288 = 0. -14, -4, 3, 162 Factor p**3/3 + 2618*p**2/3 + 625140*p + 68901192. (p + 134)*(p + 1242)**2/3 Suppose a**4/9 + 284*a**3/9 + 2041*a**2/3 + 3464*a - 4176 = 0. Calculate a. -261, -12, 1 Factor -k**2 + 642*k - 11837. -(k - 623)*(k - 19) Solve 5*g**3 + 2115*g**2 + 216120*g - 218240 = 0. -248, -176, 1 Factor x**4 - 43*x**3 + 540*x**2 - 1676*x + 1520. (x - 20)*(x - 19)*(x - 2)**2 Factor 3*d**3/2 - 9357*d**2/2 - 396963*d/2 - 4182003/2. 3*(d - 3161)*(d + 21)**2/2 Factor -b**2 + 175*b + 28254. -(b - 277)*(b + 102) Determine x so that -20*x**4 + 9332*x**3 - 183584*x**2 - 74928*x = 0. -2/5, 0, 21, 446 Factor -x**3 - 360590*x**2 - 32506287025*x. -x*(x + 180295)**2 Suppose 36*g**3 - 52*g**2 - 624*g + 640 = 0. What is g? -4, 1, 40/9 Solve m**2 + 53144*m + 706071184 = 0. -26572 Solve -2*o**5/5 - 424*o**4 - 641508*o**3/5 - 40443848*o**2/5 + 85420774*o/5 + 125225232/5 = 0 for o. -487, -88, -1, 3 Factor 3*n**2/4 + 150675*n + 7567651875. 3*(n + 100450)**2/4 Let 8*w**2/5 + 9437*w/5 - 708 = 0. Calculate w. -1180, 3/8 Let -1134*v**2 - 29880*v - 1377800/7 = 0. Calculate v. -830/63 Let 4065*v**2 - 4263*v + 198 = 0. Calculate v. 66/1355, 1 Determine f, given that 3*f**4 + 101202*f**3 - 202416*f**2 = 0. -33736, 0, 2 What is t in 5*t**3 - 1350*t**2 + 121485*t - 3643660 = 0? 89, 92 Factor 12*t**4 + 3970*t**3 - 662*t**2. 2*t**2*(t + 331)*(6*t - 1) Factor 4*t**3 + 121100*t**2 - 968992*t + 1938112. 4*(t - 4)**2*(t + 30283) Suppose -l**5/3 - 35*l**4/3 + 11894*l**3/3 - 390344*l**2/3 + 354848*l/3 + 757120/3 = 0. What is l? -140, -1, 2, 52 Let -y**3/3 - 68*y**2/3 + 15121*y/3 - 102172/3 = 0. What is y? -164, 7, 89 What is n in n**2/3 + 7163*n/3 - 28700 = 0? -7175, 12 Find p such that p**3/5 + 2932*p**2/5 + 2146221*p/5 - 4304178/5 = 0. -1467, 2 Let -v**2/3 - 253244*v/3 - 16033130884/3 = 0. What is v? -126622 Suppose -2*r**2/3 - 2074*r/3 + 101896/3 = 0. What is r? -1084, 47 Suppose -4*n**2/3 + 2348*n/3 + 33656/3 = 0. What is n? -14, 601 Factor 4*u**5 - 9224*u**4 - 260624*u**3 - 1829856*u**2. 4*u**2*(u - 2334)*(u + 14)**2 Suppose -2*i**3 - 2322*i**2 + 56930*i + 59250 = 0. What is i? -1185, -1, 25 Suppose 5*r**5/3 + 20*r**4/3 - 2900*r**3/3 - 31850*r**2/3 - 25035*r - 15390 = 0. What is r? -19, -9, -2, -1, 27 Suppose s**2 - 2042436*s + 1042886203524 = 0. What is s? 1021218 Solve -5*p**3 - 89120*p**2 - 178225*p - 89110 = 0 for p. -17822, -1 Solve -5*j**2 + 66070*j - 218262245 = 0 for j. 6607 Factor -3*y**3 - 2320*y**2 + 1549*y + 774. -(y - 1)*(y + 774)*(3*y + 1) Let -2*p**5 - 22*p**4 + 202*p**3 + 566*p**2 - 1640*p + 896 = 0. What is p? -16, -4, 1, 7 Factor 2*x**2/3 + 462424*x/3 + 26729494472/3. 2*(x + 115606)**2/3 Suppose -h**5/3 - 2*h**4/3 + 176*h**3/3 - 782*h**2/3 - 175*h/3 + 784/3 = 0. Calculate h. -16, -1, 1, 7 Determine n so that 3*n**2/2 - 54*n - 114 = 0. -2, 38 Factor y**2 + 383*y - 1158. (y - 3)*(y + 386) Find f such that -f**5/6 - 48*f**4 + 6178*f**3/3 - 21589*f**2 + 93917*f/6 + 39349 = 0. -327, -1, 2, 19 Suppose -5*n**2 - 2672310*n - 357062036805 = 0. Calculate n. -267231 Suppose 400*v**5/3 - 412*v**4/3 - 704*v**3/3 - 48*v**2 = 0. What is v? -18/25, -1/4, 0, 2 Find z such that -290*z**5/7 - 12458*z**4/7 - 172034*z**3/7 - 747150*z**2/7 + 31212*z/7 = 0. -17, -9, 0, 6/145 Factor d**2/4 + 102*d + 203. (d + 2)*(d + 406)/4 Factor 2*f**4/5 + 2682*f**3/5 + 895104*f**2/5 - 2709504*f/5. 2*f*(f - 3)*(f + 672)**2/5 Find o such that 3*o**2/5 + 109086*o/5 + 991646283/5 = 0. -18181 Solve -165*m**5 - 2315*m**4 - 7990*m**3 + 5040*m**2 + 42400*m + 1280 = 0 for m. -8, -4, -1/33, 2 Factor -v**2/6 + 398*v/3 + 797/6. -(v - 797)*(v + 1)/6 Determine t, given that 2*t**5/3 - 2074*t**4/3 - 74068*t**3 - 5898052*t**2/3 - 11137798*t/3 - 1819958 = 0. -49, -1, 1137 Factor 4*f**4 - 19992*f**3 + 24960000*f**2 + 50000000*f. 4*f*(f - 2500)**2*(f + 2) Factor 2*t**4/7 + 3756980*t**3/7 + 336069196056*t**2 + 491014459010440908*t/7 + 491012106529825494/7. 2*(t + 1)*(t + 626163)**3/7 Solve 4*h**5 + 408*h**4 - 13836*h**3 + 12592*h**2 + 26832*h = 0. -129, -1, 0, 2, 26 Determine a, given that -2*a**2 + 17462*a - 816296 = 0. 47, 8684 Let -2*q**5/9 - 9782*q**4/9 + 9808*q**3/9 + 117416*q**2/9 + 39104*q/9 - 156544/9 = 0. What is q? -4892, -2, 1, 4 Find o such that -2*o**2 - 129858*o - 129856 = 0. -64928, -1 Find f, given that 4*f**5 + 19008*f**4 + 75992*f**3 + 113968*f**2 + 75972*f + 18992 = 0. -4748, -1 Let 4*y**2 - 4004*y - 175224 = 0. Calculate y. -42, 1043 Factor l**4 + 57*l**3 + 138*l**2 - 1376*l - 4320. (l - 5)*(l + 4)**2*(l + 54) Solve -w**5/4 + 1545*w**4/4 - 9239*w**3/4 + 7695*w**2/4 = 0. 0, 1, 5, 1539 Suppose j**5 - 39*j**4 + 299*j**3 - 909*j**2 + 1188*j - 540 = 0. What is j? 1, 2, 3, 30 Let q**2/6 - 77*q/3 - 1225/2 = 0. What is q? -21, 175 Solve -2*o**2/5 - 173*o/5 - 513 = 0. -135/2, -19 Suppose 3*b**3 + 15945*b**2 + 21337584*b + 399678528 = 0. Calculate b. -2648, -19 Factor -8888*s**2 + 62180*s + 252. -4*(s - 7)*(2222*s + 9)
Suppose 3*k + 13*g = 10*g + 366, 5*k + g - 590 = 0. Calculate the remainder when k is divided by 63. 54 Let c be (0 - 3) + (-20)/8*-62. Suppose -c - 46 = -3*d. Let s = d + -58. What is the remainder when 35 is divided by s? 3 Let n = 14434 + -14420. Let l(r) = 45*r**2 - 5*r - 1. What is the remainder when l(4) is divided by n? 13 Let p = -11564 - -11594. Calculate the remainder when 11969 is divided by p. 29 Suppose -t + 688 = -3*s - 383, -3193 = -3*t + 4*s. Calculate the remainder when t is divided by 178. 169 Suppose -3*z = -35 + 5. Suppose -2*n + z = -3*m + 4*m, 8 = -2*m. Let r = n - -34. Calculate the remainder when r is divided by 21. 20 Let v(m) = m - 15 + 17 + 2*m**3 + 11 + 15 + 44*m**2. Let h be v(-22). Let r = h - -5. Calculate the remainder when 41 is divided by r. 8 Suppose a + 623 = j, -2487 = -4*j + 27*a - 22*a. Calculate the remainder when j is divided by 77. 12 Let d = -110 + 138. Suppose 32*f - d*f = 44. What is the remainder when 71 is divided by f? 5 Suppose -d = -3*f - 7, -5*f - 2 = d + 15. What is the remainder when 4/(-5) + 1445136/19320 is divided by 32/(-1 - f) - 1? 14 Calculate the remainder when 2645 is divided by -4 + 35*30/50. 10 Let q = 1833 - 1736. Calculate the remainder when q is divided by 11. 9 Let u = -22590 + 22600. What is the remainder when 25087 is divided by u? 7 Suppose -277 - 1901 = -30*q + 2832. Calculate the remainder when q is divided by 128. 39 Let d = -8 - -12. Suppose 3*p = -l + 613, -123 = p - 3*l - 314. Let h = p - 180. Calculate the remainder when h is divided by d. 3 Let n be 3*4/24 - 3/6. Let d(u) be the second derivative of u**4/12 + 41*u**2/2 - 4*u. What is the remainder when 204 is divided by d(n)? 40 Suppose -3*m - 710 = u - 1025, 5*u = 4*m - 382. What is the remainder when 642 is divided by m? 24 Let r = -6605 - -6627. What is the remainder when (-587)/(-7) - (-4)/28 is divided by r? 18 Suppose 103*a - 1378 = -95*a + 172*a. Suppose -4*p + 50 + 30 = 0. What is the remainder when a is divided by p? 13 Let h = 24916 - 21559. What is the remainder when h is divided by 73? 72 Let q = 3 - -26. Suppose q = 2*y + 3*p, 9*y - 26 = 6*y - p. Suppose -y*u - 15 = -113. What is the remainder when 67 is divided by u? 11 What is the remainder when 188 is divided by 1 + 144 + (-17 + 10 - -12)? 38 Let v(z) = -2*z**3 + 29*z**2 + 14*z + 14. Let b be v(15). Calculate the remainder when (b - -477) + 1*(4 + 1) is divided by 22. 19 What is the remainder when 58656/14 + 880/(-704)*(-8)/35 is divided by 698? 2 Suppose 0 = -37*p + 44*p + 1911. Let q = 285 + p. What is the remainder when 347 is divided by q? 11 Let y(i) = i + 88. Let f(o) = 9*o + 128. Let u be f(-12). Suppose -3*q - d + 17 = -51, 2*d - 26 = -q. What is the remainder when y(u) is divided by q? 20 Suppose 3 = 2*i - k - 9, 0 = -2*i + 4*k + 24. Let r(j) = 3*j**2 + 2*j - 3. Let g be r(-3). Suppose 3*a = a + g. Calculate the remainder when a is divided by i. 1 Let k = -1 - -138. Let w = -90 + k. What is the remainder when w is divided by 10 - 7 - ((-3 - -1) + 0)? 2 Suppose 3*t - 4*c - 34 = 0, 3*c = 4*t + 3 - 39. Suppose 0 = 19*x - t*x - 273. What is the remainder when 250 is divided by x? 19 Suppose -4*p + 6*q = q + 20, -16 = 2*p - 4*q. Suppose -156 = 2*k - p*k. Let o = -59 - k. What is the remainder when o is divided by 11? 8 Suppose -l = -8 + 12. Let i(m) = -m**3 - 5*m**2 - 7*m - 10. Let v be i(l). Calculate the remainder when (0 - v)*(-94)/4 is divided by 16. 15 Let w(d) = -30*d + 2793. Calculate the remainder when w(30) is divided by 5. 3 Suppose 3456 = -38*v + 26*v. Let x = 407 + v. What is the remainder when x is divided by 35? 14 Let r = 1739 - 1646. Calculate the remainder when 374 is divided by r. 2 Let z be (-90)/165*(-11 + 0). Suppose -z*c + 39 = -9. Calculate the remainder when 68 is divided by c. 4 Let c(h) = -3*h + 17. Let a be c(6). Let o be (a/(-1))/(1/(-76)). What is the remainder when 77 is divided by (-17)/(-51) - o/6? 12 Suppose 30 = 3*w + 3*o, w + 2*o + 8 = 17. What is the remainder when w is divided by -1*(-76)/12 - 1/3? 5 Calculate the remainder when (-1)/4*1*494880/(-120) is divided by 33. 8 Let q(w) = 2*w**2 - 32*w + 8. Let h be q(16). Suppose h*v - 11*v + 66 = 0. Calculate the remainder when 87 is divided by v. 21 Let k(g) = 10*g - 90. Let t be k(10). Let q(n) = n**2 + 5*n - 44. What is the remainder when q(t) is divided by 29? 19 Let n = -57 + 25. Let s = n - -36. Suppose 28 = s*h + 2*w, -h + 4 = -w - 6. Calculate the remainder when 13 is divided by h. 5 Suppose -5*t = 2*q - 1 + 2, -q - 4*t = 5. Let s(k) be the third derivative of -k**6/120 + k**5/10 - 31*k**2. Calculate the remainder when s(4) is divided by q. 4 Let y = -922 + 1207. Calculate the remainder when 880 is divided by y. 25 Let c(p) = 3*p + 6. Let m = -373 + 349. What is the remainder when c(6) is divided by ((-24)/9)/(16/m)? 0 Suppose -4*k - 3*p + 1070 = 0, 2*k - 3*k + 268 = p. Suppose 24*i = 10*i + k. What is the remainder when i is divided by 14? 5 Suppose -708 + 23 = -22*l + 19. What is the remainder when 997 is divided by l? 5 Let q = -541 + 550. Let u(p) = -31*p + 1. Calculate the remainder when u(-3) is divided by q. 4 Suppose -11*w + 2*w = -3*w - 396. What is the remainder when 1443 is divided by w? 57 Suppose -3*i - 2*i + 1535 = 0. Calculate the remainder when i is divided by -7 + 24 + (-55)/5 - 1. 2 Suppose -4*d + 265 + 303 = 0. Let p = 39715 - 39690. Calculate the remainder when d is divided by p. 17 Let l = -318 + 320. Suppose 0 = -l*x + 60 - 36. What is the remainder when x is divided by 10? 2 Calculate the remainder when 3854 is divided by ((-19)/(-4))/((17/340*70)/14). 16 Let l(z) = 6*z**2 + 52*z + 52. What is the remainder when 253 is divided by l(-1)? 1 Suppose 3225 - 975 = 27*y - 1665. Calculate the remainder when 7684 is divided by y. 144 Let n be (-2)/3*9/(-6). Let a = n + 16. Suppose 0 = -x - 5*f + 68, 244*x + 3*f = 249*x - 144. What is the remainder when x is divided by a? 16 Let w = 1093 - -895. What is the remainder when w is divided by 23? 10 Let v(h) = 149*h**2 + h. Let q be v(1). Calculate the remainder when (200/q)/((-4)/(-255)) is divided by 49. 36 Suppose h - 12 = 3*h - 5*j, -h + 2*j = 4. Let i(k) = 2*k**3 + 3*k + 9. Let v be i(h). Suppose 8*z - v - 139 = 0. What is the remainder when z is divided by 19? 17 Suppose -18*t + 3133 = 1. What is the remainder when 342 is divided by t? 168 Suppose -5*b + 13*y = -116, -9*b + 5*y + 30 = -10*b. What is the remainder when 295 is divided by b? 0 Let c(o) = o + 9. Let w = 141 - 141. Suppose 259*j - 253*j - 156 = w. Calculate the remainder when j is divided by c(0). 8 Let b = -12 - -18. Let r(k) be the second derivative of -k**5/20 - k**4/3 - 2*k**3/3 - 2*k**2 + 57*k + 2. What is the remainder when r(-4) is divided by b? 0 Suppose 2*b - 4 - 4 = 0. Suppose 5 = 3*t - 5*m, 0 = -b*t + m + 6 + 12. Suppose -t*j + r = -3*r - 154, 29 = j + r. What is the remainder when 86 is divided by j? 26 Let f = 1377 - 1289. Let b(h) = h**2 - 1. Let m(l) = 2*l**2 - 8*l - 7. Let r(y) = b(y) - m(y). What is the remainder when f is divided by r(7)? 10 Suppose -5*f - 158 = -573. Suppose -154 = -3*m + 2*v + 3, -2*m + f = 3*v. What is the remainder when 391 is divided by m? 48 Let p = -5749 - -6077. Calculate the remainder when p is divided by 171. 157 Suppose 382 - 327 = -22*p + 363. What is the remainder when -3 - (-2 + (-51 - 2)) is divided by p? 10 Let r(x) = -2*x**2 + x. Let v(q) = -q**3 - 7*q**2 + 21*q + 1. Let o(k) = -6*r(k) + v(k). What is the remainder when o(6) is divided by 9? 1 Let m(n) = 2*n - 12. Let k(f) be the first derivative of -f**3/3 - 15*f**2/2 + 32*f + 21. Calculate the remainder when k(-14) is divided by m(14). 14 Let c(b) = -b**3 - 34*b**2 - 99*b - 19. Let i(l) = -23*l**2 - 6*l - 2. Let t be i(1). What is the remainder when c(t) is divided by 43? 38 Suppose 11*d - 90 = 12 + 19. What is the remainder when 307 is divided by d? 10 Let a = -87 - -131. Suppose -15 = u + 5*f, -5*u - 187 = -0*u - 3*f. Let c = u + a. Calculate the remainder when 11 is divided by c. 2 Suppose 2*i = v + 117, 300 = 16*i - 11*i - 5*v. What is the remainder when i is divided by 222/9 + 2/(-3)? 9 Suppose 0 = -3*d + i + 139, -2*i = -d - 6 + 44. Let f be (5/(75/(-72)))/(6/(-165)). Let g = f - -9. What is the remainder when g is divided by d? 45 Let a = 13582 - 13550. Calculate the remainder when a is divided by 4/(-12)*(-34 + 1). 10 Suppose -c - 880 = -2*t, 496*t - 495*t = -2*c + 450. Calculate the remainder when t is divided by 19. 5
What is the third derivative of -85*x**2 - 9*x**3 + 102*x**2 - 4*x**6 - 6 + 4 wrt x? -480*x**3 - 54 Let p(w) = -w + 12. Let c be ((-4)/6)/(10/(-135)). Let b be p(c). What is the derivative of -6 - 2*q**3 + 7 + 0*q**b wrt q? -6*q**2 Let l be (-126)/(-26) - (-8)/52. Suppose -f - f + 13 = 3*o, -l*f + 16 = 2*o. What is the third derivative of -f*j**4 + 4*j**4 + j**4 + 2*j**2 wrt j? 72*j Let y(n) be the second derivative of 7*n**6/30 + 3*n**2 - n. What is the derivative of y(c) wrt c? 28*c**3 Let w(z) = -z**2 + 11*z - 9. Let a be w(9). Find the third derivative of -4*d**2 + d + 19*d**4 - d - a*d**4 wrt d. 240*d Let k(a) be the third derivative of 4/3*a**3 + 0 + 1/20*a**5 - 4*a**2 + 0*a**4 + 0*a. Find the first derivative of k(s) wrt s. 6*s Let j(b) be the third derivative of -b**7/30 - b**3/2 - 8*b**2. What is the derivative of j(w) wrt w? -28*w**3 Let u(w) = 12*w + 1. Let a(q) = q - 2. Let p be a(3). Let g be u(p). Find the second derivative of -g*o + o**4 + 9*o - 4*o**4 wrt o. -36*o**2 Suppose -2*w - 5 + 15 = 0. Suppose w*u = -25, -3*d + 7*d - 2*u = 18. What is the second derivative of 5*q - 3*q**d - 5*q - 2*q wrt q? -6 What is the third derivative of -t**2 + 0*t**2 + 7*t**3 - 8*t**2 wrt t? 42 Suppose 0 = -5*r - 3 + 18. Find the third derivative of -68*z**3 + 6*z**2 + 68*z**r + 0*z**4 - z**4 wrt z. -24*z Let w(k) be the first derivative of 0*k**2 + 1/5*k**5 + 0*k**3 - 2 - 3*k + 0*k**4. Find the first derivative of w(u) wrt u. 4*u**3 Find the third derivative of -1 - 8*d**4 - 5*d**2 - 6 + 7 wrt d. -192*d Let c(g) be the second derivative of -g**5/30 + g**3/3 + g**2 - 5*g. Let d(x) be the first derivative of c(x). Differentiate d(w) with respect to w. -4*w Let z(w) be the second derivative of w**8/4 + 4*w**4/3 + 10*w. What is the third derivative of z(x) wrt x? 1680*x**3 Suppose -v - c - 23 = -6*v, 3*c + 9 = 3*v. Differentiate -4*w - v*w + 0 - 2 - 2 wrt w. -9 Let j(x) be the third derivative of -x**4/2 + 8*x**3/3 - 7*x**2. Differentiate j(p) with respect to p. -12 Let n = 11 - 7. What is the third derivative of -3*x**2 - 3*x**n - x**2 - x**4 wrt x? -96*x Differentiate 1 - 6 + 23*i**2 + 9 + 16 with respect to i. 46*i Let o be -2 + 7 + 0 + -3. Find the third derivative of -k**2 + k**5 - 2 + 0 + o wrt k. 60*k**2 What is the third derivative of 7*q**2 + 7*q**5 + 4*q**5 + 4*q**5 wrt q? 900*q**2 Let v(s) be the third derivative of -s**7/30 + s**3/3 - 4*s**2. Differentiate v(w) with respect to w. -28*w**3 Suppose -26 = 3*i + 22. Let c(h) = 14*h + 36. Let a(z) = 3*z + 7. Let x(b) = i*a(b) + 3*c(b). Differentiate x(t) with respect to t. -6 Let q(s) = -s + 1. Let m(b) = 4*b**3 + 2*b**2 + b. Let x be m(-1). Let w be q(x). What is the second derivative of -d - d + 0*d + 2*d**w wrt d? 24*d**2 Let a(k) = -71*k**3 - 105*k**2 - 5*k + 5. Let h(g) = -36*g**3 - 52*g**2 - 3*g + 3. Let z(f) = 3*a(f) - 5*h(f). Find the third derivative of z(o) wrt o. -198 Suppose 8*c - 10 = 3*c. What is the third derivative of 2*b**4 + 2*b**4 + 2*b**c + b**2 wrt b? 96*b What is the second derivative of -97*a**2 + 177*a**2 - 60*a - 124*a**2 wrt a? -88 What is the third derivative of 0*t**5 + 46*t**3 - 46*t**3 + 2*t**2 - 3*t**5 wrt t? -180*t**2 Let g = 38 + -35. Suppose 2*z - z - 3 = 0. Find the third derivative of 6*h**g - h**3 - h**2 - h**z wrt h. 24 Let c = -4 + 4. Find the third derivative of -3*n**3 + 3*n**2 + c*n**2 + 3*n**2 wrt n. -18 Let b(i) = 1. Let w(j) = -7*j**3 - 8. Let m(v) = 14*b(v) + 2*w(v). What is the derivative of m(r) wrt r? -42*r**2 Let z be 6 + -4 - (-58)/1. Suppose 8*r - z = 4*r. What is the derivative of -3*n**3 - 2 + r*n - 15*n wrt n? -9*n**2 Let h(i) be the second derivative of -3*i**5/20 + i**4/4 + 2*i. Find the third derivative of h(u) wrt u. -18 Let h = 5 - 1. Suppose -7 = -3*t + 3*l + l, h*t = -4*l + 28. What is the first derivative of -15*p + 17*p + t - 1 wrt p? 2 Let k(h) = h**3 + h**2. Let j(v) = 22*v**3 - 6*v**2 - 6*v. Let g(o) = -j(o) - 6*k(o). Find the second derivative of g(c) wrt c. -168*c Suppose -3*l + 8 = -l. Find the first derivative of l - 7 - 3*p**4 + p**4 + 4*p**4 wrt p. 8*p**3 Let c be (-1 + -4)/((-1)/1). What is the derivative of -c - 2 + k + k + 1 wrt k? 2 Suppose 3*g + 11 = 4*o - 2*g, -o - 1 = -5*g. Suppose 0 = o*a - 1 - 7. Differentiate -3*w**2 - 4*w**a + 1 + 5*w**2 + 2 wrt w. -4*w Let h(c) be the second derivative of -c**4/3 + 5*c**3/6 + 5*c. What is the second derivative of h(q) wrt q? -8 Let n(w) be the first derivative of 0*w**5 + 0*w**3 + 5/3*w**6 - 5*w**2 + 0*w - 7 + 0*w**4. What is the second derivative of n(f) wrt f? 200*f**3 Let z(j) be the third derivative of -3*j**6/40 + j**4/2 + 6*j**2. What is the second derivative of z(p) wrt p? -54*p Let p = -4 - -7. What is the second derivative of 3*v + 4 - 4 + p*v**3 wrt v? 18*v Let z = -10 - -13. Suppose -2*t = -k - 5*t - 13, z*t + 25 = 5*k. What is the derivative of -i**k + 0 - 2 - 2*i**2 + 4 wrt i? -6*i Suppose -2*j + 6 + 0 = 0. Let q = 29 + -26. What is the third derivative of 3 + 2*o**2 - j + 3*o**3 - o**q wrt o? 12 Let l(k) be the first derivative of 11*k**5/5 + 9*k**2/2 + 12. What is the second derivative of l(i) wrt i? 132*i**2 Let o(i) be the first derivative of i**6 - i**3/3 - 2. What is the third derivative of o(h) wrt h? 360*h**2 What is the third derivative of 0*n - 721*n**2 + 0*n + 2*n**3 + 730*n**2 wrt n? 12 Let o be 24/(-96) - 8/(-30). Let d(j) be the third derivative of 0 + o*j**6 + 1/6*j**3 + 0*j**4 + 0*j**5 + 0*j + 4*j**2. Differentiate d(s) wrt s. 6*s**2 Let c = -2 + 2. Suppose 3*q + q - 24 = c. What is the first derivative of 1 - 3*p + 3 - q wrt p? -3 Let i = -3 - -4. Differentiate 1 - i + 0 - 4*g - 3 wrt g. -4 Let x(k) = k**3 + 6*k**2 - 9*k - 10. Let p be x(-7). Suppose -3*w = 2*g - p, -2*g = w - 6*w + 12. Differentiate 0*o - 2 + 3*o - w*o with respect to o. 1 Suppose 3*c = -15, -4*y + 32 = -y - 4*c. Find the third derivative of i**4 - 6*i**2 + 5*i**2 + 0*i**4 - 5*i**y wrt i. -96*i Let j(c) be the second derivative of c**9/5040 + c**6/120 - c**4/12 + 7*c. Let s(u) be the third derivative of j(u). Find the second derivative of s(o) wrt o. 36*o**2 Let y(z) = -5*z**4 - 7*z**3 + 9*z. Let o(a) = 4*a**4 + 6*a**3 - 8*a. Let b(h) = -7*o(h) - 6*y(h). What is the second derivative of b(f) wrt f? 24*f**2 Let y(r) = 2*r**2 - 4*r - 1. Let d(j) = 1. Let g(x) = 3*d(x) + y(x). Let i be g(2). Find the third derivative of 3*p**5 + 2*p**i + 2*p**5 - p**2 - 4*p**5 wrt p. 60*p**2 Let r(d) = 26*d**3 - 8*d**2 + 15. Let m(q) = -17*q**3 + 5*q**2 - 10. Let l(b) = 8*m(b) + 5*r(b). What is the derivative of l(a) wrt a? -18*a**2 Let z(o) be the first derivative of -23*o**7/7 + 20*o**3/3 - 33. What is the third derivative of z(l) wrt l? -2760*l**3 Let l(g) = -g**4 + g**2 - g. Let v(k) = -16*k**5 - k**4 - 26*k**2 - k. Let w(u) = -l(u) + v(u). What is the third derivative of w(h) wrt h? -960*h**2 Let d(t) be the first derivative of 4 - t**2 + 0*t**2 + t + 3*t. What is the first derivative of d(a) wrt a? -2 Let a(f) be the second derivative of -11*f**4/12 + 11*f**3/6 + 9*f. Find the second derivative of a(o) wrt o. -22 Find the second derivative of 4*t**5 - 9*t + 13*t**5 - 8*t wrt t. 340*t**3 Let b(a) = -a**5 - a**3 + a**2 - a. Let p(v) = 5*v**5 - 2*v**3 + 3*v**2 - 2*v. Let c(j) = 2*b(j) - p(j). Find the third derivative of c(t) wrt t. -420*t**2 Let d(w) be the first derivative of 3*w**2 - 7*w - 9. Differentiate d(r) with respect to r. 6 Let c(m) = -3*m**2 + 5. Let t(g) = 4*g**2 - g**4 - 6 - 5*g**4 + 7*g**4. Let v(b) = 4*c(b) + 3*t(b). Differentiate v(u) wrt u. 12*u**3 Let g(k) be the third derivative of -k**9/36 - k**5/15 + 11*k**2. What is the third derivative of g(i) wrt i? -1680*i**3 Let y(z) = 110*z**2 + 16*z - 156. Let o(j) = 22*j**2 + 3*j - 31. Let u(w) = 16*o(w) - 3*y(w). Find the first derivative of u(r) wrt r. 44*r Let s(l) = l + 5. Let a be s(-3). Find the second derivative of -2*t**5 - t + 2*t**3 - a*t**3 + 3*t wrt t. -40*t**3 Suppose 0 = 5*v - 8*b + 4*b - 268, -v - 3*b + 65 = 0. Suppose y + 2*y = 168. Find the third derivative of -o**2 + 4*o**5 + y*o - v*o wrt o. 240*o**2 Let o(j) be the first derivative of -3*j - 1. Let f(w) = w + 4. Let t be (2 + 0)*(-1 + 2). Let v(l) = t*f(l) + 3*o(l). What is the derivative of v(a) wrt a? 2 What is the third derivative of v - 5*v**4 - v + 11*v**4 - 29*v**2 wrt v? 144*v Let d(n) = n**2 - n + 1. Let s(m) = -2*m**2 + 3*m - 5. Let i = 4 + -7. Let v(q) = i*d(q) - s(q). What is the derivative of v(j) wrt j? -2*j
Expand (-2*z**2 + z**2 + 3*z**2)*(97 + 95 - 191 - z). -2*z**3 + 2*z**2 Expand (3 - 3 + 2*v**2)*(-2*v**2 + v**2 - v**2) - 2*v**4 + 0*v + 0*v + (-4*v**2 + 0*v**2 - 3*v**2)*(v**2 + 2*v**2 - 22*v + 16*v). -27*v**4 + 42*v**3 Expand (50 - 50 - 13*x)*(-2*x**4 - 2*x + 2*x) + 2*x**4 - x**5 - 2*x**4 + 0*x**4. 25*x**5 Expand (-1 - 5 + 1)*(47*q - 15*q**2 - 47*q + 0*q - q**2 + 0*q + (0*q + 2*q + 0*q)*(-q + 0 + 0) + 3*q**2 + q**2 - 2*q**2). 80*q**2 Expand (1 - 1 + 8*q**2)*((0*q - 4*q + 2*q)*(-1 - 1 + 0) - 2*q - 3*q + 7*q - 2 + 2 - 2*q). 32*q**3 Expand ((2*g + g - 2*g)*(4 - 4 + 2) + 0*g + 3*g - g)*(305*g**2 - 174*g**2 - 154*g**2 + 5*g**3). 20*g**4 - 92*g**3 Expand (3 + 1 - 3)*(-b**4 - 3*b**4 + 6*b**4) - 3*b**4 + 5*b**4 - b**4 + (-8*b**2 + 33 - 33)*(2*b - b**2 - 2*b). 11*b**4 Expand (0*c + c + 3*c)*(c - c - 2*c)*(3*c**2 + 30*c**2 - 2*c**2). -248*c**4 Expand (9*p**3 - 9*p**3 + 11*p**3)*(p**2 + 5*p**2 + 9*p - 7*p). 66*p**5 + 22*p**4 Expand (5 + 2*b - 4 - 4)*(-2 + 1 + 6). 10*b - 15 Expand ((2*y**2 - y + y)*(2 + 3 - 6) - 21817 - 2*y**2 + 15*y + 21817)*(-3*y - y + 2*y). 8*y**3 - 30*y**2 Expand (-2*v + 2*v - 4*v)*(91*v - 259 + 260 - 37*v). -216*v**2 - 4*v Expand -4*z + 3*z - z + (3 + 2 - 4)*(-64744 + 64744 + 3562*z) + (-4 + 0 + 2)*(-2*z + 4*z - 4*z). 3564*z Expand 0*n - 4*n + 2*n - 2*n + 4*n - 4*n + (n + 5*n - 5*n)*(0 + 2 - 1) + (-114*n - 242 + 242)*(-4 + 1 + 2). 111*n Expand (-26*t - 3*t + 94*t + 411*t)*(0 + 0 + 1). 476*t Expand -9*z**3 + 9*z**3 - 4*z**4 + (5078 - 5078 - 7*z**3)*(0 + z + 0) - z**4 - 4*z**4 + 3*z**4. -13*z**4 Expand (5*h**2 - 2*h**2 + 5*h - 7*h**2)*(-18*h + 18*h - 34*h**3). 136*h**5 - 170*h**4 Expand (3 - 2 - 3)*(-67 - 4*y + 67 + (-y + 3*y + 0*y)*(-1 + 6 - 4) + y - 3 + 3). 2*y Expand (5 + 0 - 3)*(-3*k**3 + 0*k**3 + 2*k**3) - 5*k**3 + 2*k**3 - 3*k**3 + (6*k + 0*k - 4*k)*(1 - k**2 - 1) + 0*k**3 - 21*k**3 - 3*k**3. -34*k**3 Expand (5*m**4 + 11*m**4 - 9*m**4)*(-2 + 41*m + 2*m + 3). 301*m**5 + 7*m**4 Expand (d**4 - 4*d**4 + 0*d**4)*((4 + 0 - 3)*(2 - 2 + 2) + 42 - 149 + 68). 111*d**4 Expand (24 - 4 + 6)*(-5*g + 0*g + 22 - 23). -130*g - 26 Expand (18 - 18 - 8*v)*(-11 - 15 + 0). 208*v Expand -435*x**2 + 435*x**2 + 20*x**4 + ((-2 + 6 - 1)*(-2*x**3 - 3*x**3 + 4*x**3) + 10*x**3 - 6*x**3 + x**3)*(-3 + x + 3). 22*x**4 Expand (-6*t - 3*t + 2*t + (2 + t - 2)*(6 - 2 - 2) - 5*t + 4*t + 3*t)*(t**3 + 2*t - 2*t + 2*t**2). -3*t**4 - 6*t**3 Expand -c - c**3 + c + (-5*c**2 + 5 - 5)*(-3*c + c + 3*c) - 9*c**3 + 18*c - 18*c. -15*c**3 Expand (4*f**3 - 4*f**3 - 2*f**3)*(f + f + 0*f + (7 - 4 + 20)*(2*f + 0*f - 3*f)). 42*f**4 Expand 8*r**4 - 13*r**4 + r**4 - 7*r**2 + (0 + 0 - 2*r)*(5*r - 5*r + 3*r**3). -10*r**4 - 7*r**2 Expand (-4 - z + 2 - z)*(-3*z + 0*z + 5*z + z - 2*z + 2*z + (-1 - 2 + 2)*(-2*z - 2 + 2))*(3 + 3 - 3)*(0*z + 7*z + 3*z). -300*z**3 - 300*z**2 Expand (5 - 4 + y + 2*y)*(1 + 4 + 0)*(-y**2 + 4 - 4)*(-3*y + 10*y - y). -90*y**4 - 30*y**3 Expand 2 - 2*s**2 - 5 - 1 + (-3*s - 2*s + 7*s)*(-3 + 3 + 2*s) + 10*s**2 - 18*s**2 + 10*s**2. 4*s**2 - 4 Expand 0*q + q**2 - 2*q + 3*q + (-q + q - q)*(40*q + 54*q - 113*q). 20*q**2 + q Expand -8511*o**3 + 8511*o**3 + 16*o**5 + 4 + o**5 + 3*o**4 - 3*o**4 + (5*o**4 - 2*o**4 - 2*o**4)*(-4*o + 5*o + o). 19*o**5 + 4 Expand (9*t - 2*t - t)*(2 - 2 + 2*t**2) + 3*t**3 + 2 - 5*t**3 + 3*t**3 + 2*t**3 + 0*t**3 - 6*t**3. 9*t**3 + 2 Expand (-5*j**2 - j**2 + 2*j**2)*(2 + 3 - 3)*(2*j**2 + 21*j - 44*j + 16*j). -16*j**4 + 56*j**3 Expand -22*o**3 - 19*o**2 + 20*o**3 + 7*o**2 - 1 + (-4*o + 0*o + 5*o)*(18*o**2 - 169 + 169). 16*o**3 - 12*o**2 - 1 Expand (2*k**2 + 7*k**2 + 2*k**2)*(k + 0 + 0) - 19*k**3 - 3*k**3 + 4*k**3. -7*k**3 Expand (-2*a + 0*a + 4*a)*(-25*a - 13*a - 15*a + (a + 4*a - 2*a)*(2 - 4 + 1) + (0*a - 2*a + a)*(1 - 4 + 1)). -108*a**2 Expand (3*v + 7*v**4 + 8*v**4 - 10*v**4 - v**3)*(498 + 39*v - 498). 195*v**5 - 39*v**4 + 117*v**2 Expand 2*k - 3 + 3 + (2*k - 6*k + 2*k)*(-1 - 2 + 1) - 129*k - 59*k + 52*k. -130*k Expand -1 + 1 - w + (-2 - 5*w + 3*w + 1)*(131 + 182 + 164). -955*w - 477 Expand 2*s**3 + 21*s**3 + 27*s**3 + (-4 + 4 + 2)*(-4 + 2 + 2*s**3 - s + 0). 54*s**3 - 2*s - 4 Expand -1 + 1 + 2*t**3 + 0 - 2*t**3 - 3 + 1 + 0*t**3 + 0*t**3 + 9*t**3 + (-1 + 0 + 0)*(-t**3 + 0*t**3 + 3*t**3). 7*t**3 - 2 Expand (-v**2 + 3*v - 3*v)*(-4*v**3 + 2*v**3 + 3*v**3) + 32*v**5 - 113*v**5 - 109*v**5. -191*v**5 Expand -4*d**2 - 6*d + 6*d + (0 + 3*d + 0)*(4 - 4 + 2*d) + 3*d**2 + 2*d**2 - 2*d**2. 5*d**2 Expand (2*a**3 - 2 + a**3 - 2*a**2 - 4*a**3)*(-7*a - 49*a - 73*a). 129*a**4 + 258*a**3 + 258*a Expand (0 + 4 + 2)*(1 + 1 + 2)*(-15*u - 12*u - 88 + 88). -648*u Expand (-y**4 + 4*y**4 - 4*y**4)*(-67 + 13 - 56) - 2*y**4 + 7*y**4 - 4*y**4 - 2*y**3 + (-5*y**2 + 0*y**2 + 3*y**2)*(5*y**2 - 4*y**2 + y**2). 107*y**4 - 2*y**3 Expand (-i**2 + i**2 + i**2)*(-235*i**3 + 6494*i**2 - 6494*i**2). -235*i**5 Expand (-f**4 + 0*f**3 - 2*f**3 + f**3)*(9 + 5 + 18 + 4 - 4 + 2 + (-1 + 1 + 1)*(0 - 3 + 1)). -32*f**4 - 32*f**3 Expand (0 - 2 + 0)*(2*p - 4 + 4) + 5*p + 0*p - 3*p + 232 - 232 + 182*p. 180*p Expand (-5*b + 2*b + 0*b)*(-2*b + 0*b + b) - 31*b**2 + 13*b**2 + 24*b**2. 9*b**2 Expand (b**3 - 4*b**3 + 2*b**3)*(5 - 5 - 4)*(564 - 1113 + 565). 64*b**3 Expand (0*x**2 + 0*x**2 - 2*x**4)*(-4*x + 4*x - x) - 81 - 21*x**5 - 3*x + 81. -19*x**5 - 3*x Expand (j**3 - j**2 - 3*j**3 - 2*j**2)*(4*j - j + j + 6*j + 2*j + 0*j + (1 - 2 + 3)*(0*j + 4*j - 2*j)). -32*j**4 - 48*j**3 Expand 0*h**3 + 0*h**3 - h**3 + h**3 + 2*h**3 - 2*h**3 + (-h**2 - 2 + 2)*(-2*h + 0*h - 5*h) + 19*h**3 + 0*h**3 + 4*h**3. 30*h**3 Expand j**4 - 3*j**4 + 4*j**4 + (3*j**4 - 2 + 2)*(2 - 4 + 1) - 1 + 21*j**4 + 17*j - 17*j. 20*j**4 - 1 Expand (-4 + 2 + 0)*(-6*z**3 - 2*z**3 + 7*z**3)*(-z**2 + 0*z**2 + 0*z**2 + (-z + 2*z - 2*z)*(-4*z + z + z)). 2*z**5 Expand -w + w - w**5 + (0 + 0 + w**3)*(0*w**2 - w**2 - w**2) - 33*w**5 + 197*w**5 - 7*w**2 + 8*w**2. 161*w**5 + w**2 Expand (w**4 - 2*w**4 + 3*w**4)*(206 - 134 - 134). -124*w**4 Expand (k**2 + 2 - 2)*(-1 + 0 + 0) + 0*k**2 + 0*k**2 - 3*k**2 + 7*k**2 - k**2 - 19*k**2. -17*k**2 Expand (-4*f + 3*f + 3*f)*(-5 + 2 + 5) + 0*f + f + 0*f + (4 - 1 - 2)*(2*f + 2*f - 3*f) - 2 + 2 + 2*f. 8*f Expand (5 + 3 - 1)*(2 + 1 + 0)*(3*s - s - 4*s)*(-s + 2*s + 0*s). -42*s**2 Expand (-11 + 8 - 4*m + 4)*(-3 + 1 + 4)*(0*m + 4*m - m) + (0*m - m - m)*(m + 3 - 3) + m**2 + 2*m**2 - 4*m**2 + 5*m**2 - 2*m**2 - 2*m**2. -26*m**2 + 6*m Expand (2 + 2 - 2)*(-i + i - i**2) + 25*i**2 - 139 + 139. 23*i**2 Expand (-2 + 1 + 0)*(d - 5*d - 13*d) - 8*d - 8*d - 29*d + 19*d. -9*d Expand (t - t + 3*t**2)*(2*t**2 - t - 2*t**2 - 79*t**3 + 25*t**3). -162*t**5 - 3*t**3 Expand o - o - o**4 + (0 + 0 + 2*o)*(0*o**3 - 4*o**3 + 2*o**3) + 3*o + 12*o**4 - 3*o. 7*o**4 Expand (3*v + 0*v - v)*(5*v + 0*v - 4*v) + (0*v - v + 9*v)*(0*v - 11*v + 6*v). -38*v**2 Expand ((0*r + 0*r + r)*(13 - r - 13) - 2*r**2 - 2 + 2)*(3*r**2 + r**2 - 6*r**2). 6*r**4 Expand (3*j**2 + 3*j**2 - 4*j**2)*(0*j**2 - j**2 + 2*j**2) + (j + 0*j + j)*(-6*j**3 + j**3 + 3*j**3)*(0 - 1 + 3). -6*j**4 Expand (-21*a - 4*a + 15*a)*(2*a - 2*a + 2*a**2). -20*a**3 Expand (0*z + 0*z - z**2)*(-937 + 937 + 50*z). -50*z**3 Expand 608*h - 282*h - 218*h + (3*h + h - 2*h)*(3 + 1 - 2) + (-1 + 1 - 2*h)*(3 - 4 + 0) - h - 3 + 3. 113*h Expand 5*l**3 - 7*l**3 - l**3 + (32 - 3 + 10)*(-l + l + l**2)*(-4*l + 0*l + 2*l) - 1 + 1 + 2*l**3. -79*l**3 Expand -3*d**3 + 4*d**3 + d**3 + (2*d - d**3 - 2*d)*(-1 + 2 + 2) + (0*d - 3*d + 5*d)*(d**2 + 0*d + 0*d) + d**3 + d**3 + 0*d**3. 3*d**3 Expand (-3*x + x - 9*x)*(-3*x - x + 6*x - x - 3*x + 2*x + x + 2*x - x + (-1 + 6 - 3)*(-4*x + 3*x + 2*x) - 6*x + 3*x + 2*x - x + 4*x - x - 1 - 2*x + 1). -33*x**2 Expand -9*w**4 + 3*w**4 - 26*w**4 + (-2*w**3 - 1 + 1)*(0*w - 3*w + 2*w). -30*w**4 Expand (2*a**2 + 0 + 0)*(-1 - 1 + 1)*(-2*a**2 + 0*a**2 + 0*a**2) + (0*a + 3*a - 2*a)*(38*a**2 - 38*a**2 - 8*a**3) - a**4 - a**4 + 0*a**4. -6*a**4 Expand (0*i + 4*i + i)*(i - i + i**4 + (-13*i**3 - 2*i**3 + 26*i**3)*(4*i + i - 3*i)). 115*i**5 Expand (-2*c**2 + c**2 + 3*c**2)*(c**3 + 4*c - 4*c) + 6*c**2 - 1 - 32*c**5 + 52*c**5 - 5*c**2. 22*c**5 + c**2 - 1 Expand (74*i**3 + 0 + 2 - 82*i**3)*(i**2 + 2*i**2 - 4*i**2 + i**2 - 2*i**2 - i**2 + (5*i**2 - 2*i**2 - i**2)*(-3 - 1 + 2)). 56*i**5 - 14*i**2 Expand (6*o - 2*o + 14*o**2 + 3*o**2)*(o**2 + o**2 + 2*o**2). 68*o**4 + 16*o**3 Expand (-3*f**3 - 27*f**2 + 27*f**2)*(1 - 1 - 2*f**2) + (-9 + 9 - 4*f)*(0*f**2 + 0*f**2 - 3*f**2)*(0*f + 0*f + 3*f**2). 42*f**5 Expand -100*n + 3*n**3 + 107*n + 4*n**3 + (-5 + 6 + 0)*(3*n - 3*n + 2*n**3). 9*n**3 + 7*n
Suppose 2*j = -q + 6, 0 = -j + 4*j - 6. Let c(t) = -4*t**2 + 119*t**q + 105*t**2. Let y(f) = 2*f**2. Calculate y(c(l)). 96800*l**4 Let p(m) = 8*m**2 + m. Let s(k) = -2*k - 6. Let h(z) = 96*z + 60. Let a(x) = h(x) + 10*s(x). Calculate a(p(g)). 608*g**2 + 76*g Let r be 0 + 1 + 17*1/17. Let m(q) = -q**2 + 2*q**r + 0*q**2. Let x(n) = -257*n. Give m(x(t)). 66049*t**2 Let k(c) = -4*c. Let m(p) = 6*p**2 + 2. Let n be m(-2). Let z = 84 - n. Let w(j) = -49*j + z*j - 2 + 2. What is w(k(u))? -36*u Let g(r) = 245*r**2. Let t(v) = 14*v + 5. Let o be t(0). Let y(z) = o*z - 3*z + 3*z - 6*z. What is g(y(u))? 245*u**2 Let h(g) = -6401536*g**2. Let x(y) = -3*y**2. Give x(h(t)). -122938989477888*t**4 Let u(b) = -29*b + 0*b + 9*b + 15*b - 3*b + 10*b. Let o(g) = 27*g + 37*g + 54*g. Determine o(u(j)). 236*j Let b(d) = 348*d. Let i(k) = 149*k. Let j(r) = 6*b(r) - 14*i(r). Let z(o) be the second derivative of 3*o**4 + o. Calculate j(z(a)). 72*a**2 Suppose 2*o = -0*o + 10. Let n be -1 + 3/(o - 4). Let t(y) = -6*y**2 - 3*y**2 + n*y**2 + 4*y**2. Let v(d) = 2*d**2. Give t(v(x)). -12*x**4 Let n(i) = -3224*i**2 + 70*i + 1002*i**2 - 144*i + 74*i. Let p(m) = 3*m**2. Determine p(n(c)). 14811852*c**4 Let h(u) = 4*u**2 + 12*u. Let c(j) = 5*j**2 + 20*j. Let a(w) = -3*c(w) + 5*h(w). Let g(v) = -23*v. Calculate g(a(f)). -115*f**2 Let h(z) = z**2. Let t(o) be the first derivative of o**2/2 + 2299*o - 1927. Calculate t(h(d)). d**2 + 2299 Let v(w) = -w - 124. Let k(q) be the second derivative of 2*q**4/3 + 4845*q - 2. Determine k(v(j)). 8*j**2 + 1984*j + 123008 Let d(q) = -3*q + 0*q + 2*q. Let f be (144/12)/(3/1004). Let n(v) = -f - v + 4016. Determine d(n(h)). h Let p(b) = 2*b. Let i(z) = -21470743*z**2. Give p(i(k)). -42941486*k**2 Suppose -5*a + 42 = 9*a. Let s(m) = m**2. Let c(x) = -x**2. Let h(d) = a*c(d) + 2*s(d). Let y(p) = -7*p**2 + 7*p. Give h(y(w)). -49*w**4 + 98*w**3 - 49*w**2 Let o(y) = -7*y. Let a(f) = 3*f**2 - f + 4. Let x(g) = -3686*g**2 + 1164*g - 4656. Let t(c) = -1164*a(c) - x(c). Determine o(t(s)). -1358*s**2 Let s(d) = 112*d - 1. Let l(y) = 14*y**2 - 694. Determine l(s(k)). 175616*k**2 - 3136*k - 680 Let l(n) = n. Let m(p) = -274*p - 19. Let r(v) = -67*v - 5. Let t(o) = 6*m(o) - 25*r(o). Determine l(t(u)). 31*u + 11 Let t(w) = -11*w. Let c(u) = -85979 + 85979 + 1592*u**2. What is c(t(i))? 192632*i**2 Let o(t) = -5*t**2 - 35*t - 5. Let z(l) = -7*l - 1. Let c(n) = o(n) - 5*z(n). Let y(h) = -132*h. Give y(c(f)). 660*f**2 Let d(m) = -363*m**2. Let a(q) = -310038*q. Give d(a(b)). -34892852804172*b**2 Let a(l) = 2*l. Let t(q) = 3*q**2 - 6*q + 2. Let z be t(2). Suppose 4*n = 4*i - 64, -n = z*i - 0*i - 17. Let v(o) = -25*o + 14*o + i*o + 21*o**2. Give a(v(h)). 42*h**2 Let l(m) = -12*m + 32. Let s(v) be the first derivative of -v**3/3 - 4450. Give l(s(d)). 12*d**2 + 32 Let t(k) = 30*k**2. Let f(m) = 48*m**2 - 12355 + 24716 - 12361. What is t(f(v))? 69120*v**4 Let u(b) = 27*b**2. Let i = -395 + 451. Let x(z) = -54*z + 160*z - i*z - 56*z. Give x(u(l)). -162*l**2 Let j(b) = -2*b. Let o(m) be the second derivative of -7*m**4/4 - m**3/3 + 12*m**2 + m - 263. Give j(o(t)). 42*t**2 + 4*t - 48 Let b(s) = 2192486*s. Let x(g) = -3*g**2. Give b(x(r)). -6577458*r**2 Let p(a) be the second derivative of -a**3/2 + 8*a**2 - 364*a - 7. Let w(n) = -n - 1. Give p(w(u)). 3*u + 19 Let l(d) be the first derivative of 29*d - 100 - 4*d**2 - d**2 + 19*d - 48*d. Let b(x) = 2*x. Let a(s) = -s. Let i(n) = 11*a(n) + 6*b(n). What is i(l(z))? -10*z Let p(s) = 4*s**2. Let x(w) be the first derivative of -217*w**2/2 - 2*w + 2991. Determine x(p(r)). -868*r**2 - 2 Let a(o) be the second derivative of -7*o**6/240 + 5*o**4/12 + 10*o**2 + 51*o. Let y(z) be the third derivative of a(z). Let u(v) = 2*v**2. Determine u(y(d)). 882*d**2 Let l(u) = -1. Let y(k) = k + 3. Let n(s) = -6*l(s) - 2*y(s). Let m(w) = 66 - 496*w**2 + 1488*w**2 - 495*w**2 - 2 + 44 - 495*w**2. Calculate m(n(h)). 8*h**2 + 108 Let m(f) = f**2 + 84*f + 1. Let b(n) = 12*n**2 + 676*n - 8. Let g(c) = b(c) - 8*m(c). Let i(s) = -2*s. Calculate i(g(v)). -8*v**2 - 8*v + 32 Let c(n) be the second derivative of 54 + 0*n**3 - 1/6*n**4 - n + 0*n**2. Let r(y) = 13*y - 4. What is r(c(d))? -26*d**2 - 4 Let i(z) = 53 - 21 - z - 29. Let o(g) = -4. Let r(m) = -8*i(m) - 6*o(m). Let u(j) = -3*j. Determine u(r(q)). -24*q Let z(g) = g**2. Let n(q) = -79*q - 20446. Calculate n(z(k)). -79*k**2 - 20446 Let a(o) be the first derivative of -o**3 - 26098. Let k be (-4 - 0)*(-3)/4. Let t(q) = 6*q + 2*q + k*q. Calculate a(t(v)). -363*v**2 Let r(o) be the second derivative of o**4/24 - 13*o**2 - 11*o - 2. Let s(t) be the first derivative of r(t). Let v(q) = 10*q**2. Calculate v(s(j)). 10*j**2 Let y(c) = c + 20. Let w(j) = 404680*j. Give w(y(q)). 404680*q + 8093600 Let j(a) = 3*a - 39. Let d(s) be the first derivative of 501625*s - 76 - 501625*s - s**2. What is j(d(z))? -6*z - 39 Let n(q) = 3*q + 179. Let j be n(-41). Let p(v) = 71*v - j*v + 103*v. Let s(z) = z**2. Determine s(p(t)). 13924*t**2 Let x(m) be the third derivative of -17*m**4/24 - 77*m**3/6 + 186*m**2 + 5*m + 4. Let o(h) = 4*h**2. Determine o(x(y)). 1156*y**2 + 10472*y + 23716 Let s(h) = h**2 - 5*h. Let b(d) = -34*d - 9619892 + 9619892. Give s(b(x)). 1156*x**2 + 170*x Let d(t) = -117*t + 2. Let h(b) be the third derivative of b**5/30 - 349*b**2. Give d(h(v)). -234*v**2 + 2 Let z(t) be the second derivative of 7*t**4/12 + 137*t**3/6 + 3*t + 754. Let w(p) = 3*p. Determine z(w(r)). 63*r**2 + 411*r Let c(a) be the second derivative of 161*a**4/4 - 865*a - 1. Let g(l) = -8*l. Calculate g(c(v)). -3864*v**2 Let p(s) = 11*s. Let k(c) = 741*c + 1192. What is p(k(r))? 8151*r + 13112 Let q(k) be the third derivative of -k**5/30 + 11*k**2. Let g be 1/((-59)/30 + -4 + 6). Let a(t) = -g*t - 27*t + 69*t. Give a(q(d)). -24*d**2 Let c(d) be the third derivative of d**6/40 - 45*d**3/2 - 70*d**2. Let g(k) be the first derivative of c(k). Let y(a) = 20*a. Determine g(y(s)). 3600*s**2 Suppose -2*t + 4*d - 2*d - 2 = 0, 13 = 2*t + 3*d. Let k(b) = -19088*b - b**t + 19088*b. Let n(a) = -52*a - 3. Give n(k(w)). 52*w**2 - 3 Let a(t) = 5*t**2. Let b(r) = 7 + 6 + 17*r**2 + 14*r**2 - 15. Give a(b(k)). 4805*k**4 - 620*k**2 + 20 Let z(w) = -136*w**2 - 13*w - 1. Let q(d) = -2*d + 11. Calculate q(z(s)). 272*s**2 + 26*s + 13 Let i(a) be the first derivative of 139*a**3/3 + 60. Let r(k) = 3*k. Determine i(r(l)). 1251*l**2 Let y(v) = 3*v. Let q be 28 - ((-22)/(-33) + (-11)/3). Let f(l) = 53*l**2 - 31*l**2 - q*l**2. Give y(f(k)). -27*k**2 Let z(v) = 32*v**2. Let j(s) = 9505514*s + 1. What is j(z(i))? 304176448*i**2 + 1 Let y(t) = -3*t**2. Let p(x) be the second derivative of 11*x**6/120 + 2*x**3 + 11*x - 1. Let d(b) be the second derivative of p(b). Give d(y(c)). 297*c**4 Let u(w) = 12*w**2. Let y be ((-5735)/(-341) - 17)/((-1)/11). Let p(o) be the second derivative of 0*o**y + 0 - 1/6*o**3 - 11*o. What is u(p(i))? 12*i**2 Let h(f) = 3*f - 42. Let c be h(15). Suppose -5*n + 667 = 4*q, c*n + n = -4. Let u(j) = -168*j + 3*j**2 + q*j. Let m(y) = -3*y. Calculate u(m(g)). 27*g**2 Let y(s) = -29584173*s. Let g(m) = -4*m**2. What is y(g(a))? 118336692*a**2 Let b(y) = y. Let a(f) = -901301*f**2. What is b(a(n))? -901301*n**2 Let j(b) be the second derivative of -1/2*b**3 + 0*b**2 + 76*b + 0. Let v(z) = 13*z**2. Determine v(j(p)). 117*p**2 Let k(a) = -85*a. Let f(x) = 837*x**2 - 240. What is f(k(o))? 6047325*o**2 - 240 Let q(h) = 161*h. Let v(w) = 754789*w. Determine v(q(r)). 121521029*r Let n(u) be the second derivative of -106*u**3/3 + 19*u + 92. Let f(s) = -2*s**2. What is n(f(i))? 424*i**2 Let p(f) = 2313385*f. Let r(m) = 2*m. Calculate p(r(s)). 4626770*s Let g(q) = 25*q. Let k(w) = 4*w. Let l(j) = -5*g(j) + 30*k(j). Let v(y) = 4*y - 8. Calculate l(v(p)). -20*p + 40 Let x(m) be the third derivative of 11*m**4/8 - m**3/2 - m**2 + 1626. Let i(k) = -7*k. Give i(x(o)). -231*o + 21 Let i(q) be the first derivative of q**4/24 + 11*q**2/2 - 4*q + 36. Let a(u) be the second derivative of i(u). Let o(l) = -12*l**2. What is a(o(f))? -12*f**2 Let s(w) = 1319423*w - 1319423*w + 17*w**2. Let n(v) = -5*v**2 + 29. Calculate s(n(k)). 425*k**4 - 4930*k**2 + 14297 Let q(m) = 4911900*m. Let h(k) = -3*k**2. Determine h(q(s)). -72380284830000*s**2 Let z(o) = 2535823*o. Let u(s) = 9*s. What is z(u(m))? 22822407*m Let u(o) = -16*o - 20353. Let z(d) = -5*d + 2. Calculate u(z(p)). 80*p - 20385 Let r(k) = 11*k. Suppose 46*l = -62*l + 95*l + 39. Let f(d) be the third derivative of -20*d**2 + 0*d**l + 0*d + 0 + 0*d**4 + 1/30*d**5. Calculate r(f(w)). 22*w**2
Calculate the greatest common factor of 27 and 729. 27 What is the greatest common divisor of 162 and 1350? 54 Calculate the greatest common factor of 3534 and 496. 62 Calculate the highest common divisor of 54 and 126. 18 What is the greatest common factor of 220 and 8? 4 Calculate the greatest common divisor of 844 and 4. 4 What is the highest common divisor of 312 and 72? 24 Calculate the highest common factor of 11935 and 77. 77 Calculate the highest common factor of 1672 and 88. 88 What is the highest common factor of 37 and 1073? 37 What is the highest common divisor of 50 and 1060? 10 What is the greatest common factor of 206 and 309? 103 What is the greatest common divisor of 297 and 1320? 33 What is the greatest common factor of 1380 and 300? 60 Calculate the greatest common divisor of 193 and 100939. 193 Calculate the greatest common factor of 147 and 33. 3 Calculate the highest common factor of 41 and 779. 41 What is the highest common factor of 3 and 76? 1 What is the highest common factor of 24250 and 194? 194 What is the highest common divisor of 117 and 108? 9 What is the highest common factor of 143 and 13? 13 Calculate the greatest common factor of 1073 and 37. 37 Calculate the greatest common factor of 49875 and 133. 133 What is the greatest common divisor of 72 and 296? 8 Calculate the greatest common factor of 99 and 3993. 33 What is the greatest common factor of 13 and 156? 13 What is the greatest common factor of 160 and 220? 20 Calculate the greatest common divisor of 80 and 56. 8 Calculate the greatest common divisor of 8 and 33752. 8 Calculate the greatest common divisor of 1129 and 2. 1 What is the highest common factor of 111 and 2627? 37 What is the highest common divisor of 203 and 17429? 29 Calculate the highest common divisor of 20234 and 268. 134 Calculate the highest common factor of 10140 and 520. 260 Calculate the highest common divisor of 20 and 10. 10 What is the greatest common divisor of 96 and 8704? 32 Calculate the greatest common divisor of 14 and 784. 14 Calculate the highest common factor of 30 and 2265. 15 Calculate the greatest common factor of 46 and 2369. 23 What is the greatest common divisor of 3952 and 234? 26 What is the highest common divisor of 45 and 9480? 15 What is the highest common divisor of 88 and 638? 22 What is the greatest common factor of 376 and 2303? 47 Calculate the greatest common factor of 1272 and 795. 159 What is the greatest common divisor of 42 and 66? 6 What is the highest common divisor of 15 and 1170? 15 What is the greatest common divisor of 84 and 156? 12 What is the highest common divisor of 80 and 90? 10 Calculate the greatest common divisor of 39 and 26. 13 What is the highest common divisor of 26 and 910? 26 Calculate the greatest common divisor of 6499 and 335. 67 What is the greatest common factor of 20 and 15? 5 Calculate the highest common factor of 72 and 24. 24 What is the greatest common factor of 224 and 3500? 28 What is the highest common factor of 7062 and 132? 66 What is the greatest common divisor of 6 and 1878? 6 What is the highest common divisor of 6678 and 21? 21 Calculate the highest common factor of 922 and 14. 2 Calculate the greatest common factor of 774 and 86. 86 What is the highest common factor of 10 and 5? 5 Calculate the highest common divisor of 602 and 322. 14 Calculate the greatest common divisor of 480 and 560. 80 What is the highest common divisor of 63 and 189? 63 What is the highest common factor of 96 and 18672? 48 What is the greatest common factor of 110 and 320? 10 What is the greatest common factor of 14 and 2282? 14 Calculate the highest common factor of 8642 and 1490. 298 Calculate the greatest common factor of 11534 and 948. 158 What is the greatest common factor of 75 and 120? 15 What is the greatest common divisor of 91 and 91? 91 What is the highest common divisor of 87 and 493? 29 Calculate the highest common divisor of 553 and 469. 7 Calculate the greatest common divisor of 3 and 363. 3 Calculate the greatest common factor of 28 and 252. 28 Calculate the highest common factor of 19 and 2698. 19 Calculate the highest common factor of 45 and 95. 5 What is the greatest common divisor of 15 and 393? 3 What is the greatest common factor of 198 and 6? 6 What is the highest common divisor of 157 and 2669? 157 What is the greatest common divisor of 4224 and 99? 33 Calculate the highest common divisor of 793 and 61. 61 What is the highest common factor of 46 and 529? 23 Calculate the highest common factor of 1344 and 1. 1 What is the highest common divisor of 4256 and 456? 152 What is the greatest common divisor of 390 and 80? 10 Calculate the highest common divisor of 118 and 5782. 118 What is the greatest common factor of 696 and 406? 58 What is the greatest common factor of 574 and 451? 41 What is the highest common factor of 36 and 954? 18 Calculate the greatest common divisor of 180 and 72. 36 Calculate the highest common divisor of 7176 and 78. 78 What is the greatest common divisor of 247 and 361? 19 Calculate the highest common factor of 59 and 177. 59 What is the greatest common factor of 21 and 1659? 21 Calculate the highest common divisor of 360 and 6960. 120 What is the greatest common factor of 18 and 954? 18 What is the highest common factor of 100 and 75? 25 Calculate the highest common divisor of 46 and 1909. 23 What is the highest common divisor of 672 and 28? 28 Calculate the greatest common divisor of 66 and 1122. 66 What is the greatest common factor of 1131 and 87? 87 Calculate the highest common factor of 475 and 2679. 19 What is the highest common divisor of 260 and 180? 20 What is the highest common factor of 6 and 51? 3 What is the highest common divisor of 18 and 8334? 18 What is the highest common divisor of 65 and 533? 13 What is the greatest common factor of 11025 and 30? 15 Calculate the greatest common divisor of 25 and 400. 25 Calculate the greatest common factor of 1500 and 4020. 60 What is the greatest common divisor of 2965 and 5? 5 What is the highest common factor of 7181 and 86? 43 Calculate the highest common divisor of 35 and 630. 35 What is the greatest common divisor of 423 and 3102? 141 What is the greatest common divisor of 162 and 4455? 81 What is the highest common factor of 14613 and 3? 3 Calculate the greatest common factor of 49 and 1960. 49 What is the greatest common divisor of 15 and 455? 5 What is the highest common divisor of 703 and 76? 19 Calculate the greatest common factor of 24 and 26952. 24 What is the greatest common factor of 117 and 14781? 39 Calculate the greatest common divisor of 6 and 39618. 6 Calculate the highest common divisor of 330 and 160. 10 Calculate the greatest common divisor of 260 and 13. 13 What is the greatest common factor of 1216 and 36? 4 What is the highest common divisor of 1078 and 686? 98 Calculate the greatest common divisor of 3350 and 1474. 134 What is the highest common divisor of 1702 and 1110? 74 What is the highest common factor of 299 and 13? 13 Calculate the highest common factor of 154 and 3346. 14 What is the greatest common factor of 110 and 20? 10 Calculate the highest common factor of 24 and 424. 8 What is the highest common factor of 234 and 22698? 234 What is the highest common factor of 169 and 195? 13 What is the highest common divisor of 1189 and 29? 29 What is the greatest common divisor of 9418 and 34? 34 Calculate the greatest common divisor of 33 and 77. 11 What is the highest common factor of 90 and 7380? 90 What is the greatest common divisor of 108 and 42? 6 Calculate the greatest common factor of 1462 and 430. 86 What is the greatest common factor of 8890 and 70? 70 What is the greatest common divisor of 28833 and 21? 21 What is the highest common divisor of 559 and 52? 13 What is the highest common factor of 882 and 234? 18 Calculate the highest common divisor of 3396 and 24. 12 Calculate the greatest common divisor of 611 and 52. 13 Calculate the highest common divisor of 51 and 170. 17 What is the greatest common divisor of 40 and 1580? 20 What is the highest common factor of 356 and 89? 89 What is the greatest common factor of 200 and 1? 1 Calculate the greatest common factor of 5 and 2450. 5 What is the greatest common factor of 7344 and 54? 54 What is the highest common factor of 180 and 42840? 180 Calculate the greatest common divisor of 72 and 260. 4 Calculate the highest common divisor of 377 and 87. 29 What is the greatest common factor of 12 and 726? 6 Calculate the greatest common factor of 2 and 104. 2
In base 15, what is 5 + 1bdb? 1be1 In base 4, what is 10 + 211130? 211200 In base 12, what is -1a - -2680? 2662 In base 6, what is 1 - -110151? 110152 In base 3, what is -101011000 + -100? -101011100 In base 14, what is -208c4 + 3? -208c1 In base 8, what is 2014543 + 0? 2014543 In base 3, what is 1012001 + 112112? 1201120 In base 16, what is b291c + 5? b2921 In base 4, what is 30 + 10022? 10112 In base 2, what is -111001010001 + 10? -111001001111 In base 6, what is -32 + 355? 323 In base 13, what is 2 - 2ac? -2aa In base 11, what is -12 - 226? -238 In base 4, what is 210233 + -103? 210130 In base 7, what is -354 + 36222? 35535 In base 7, what is -4 + -2263433? -2263440 In base 3, what is 222221101 - 0? 222221101 In base 5, what is -3133044 + -123? -3133222 In base 7, what is 32302 + 11? 32313 In base 2, what is -1000001111110 - -101? -1000001111001 In base 9, what is 312 + -6008? -5586 In base 11, what is -5 - -32194? 3218a In base 14, what is 25ba + 5? 25c1 In base 16, what is -1 - 68ba? -68bb In base 8, what is 3 - -17351? 17354 In base 8, what is 322 + -42? 260 In base 9, what is -203363 + 5? -203357 In base 5, what is -111243 + 122? -111121 In base 7, what is 4 - -65216? 65223 In base 10, what is -15 + -38496? -38511 In base 3, what is -22 + -211111? -211210 In base 9, what is -63 - 5433? -5506 In base 14, what is bad - 103? aaa In base 6, what is 44004452 - 10? 44004442 In base 4, what is -122333202 + 10? -122333132 In base 2, what is 100001100010 - -1010? 100001101100 In base 12, what is -3248 - 2? -324a In base 15, what is c279 - 4? c275 In base 5, what is 3014242 + -10? 3014232 In base 12, what is -56bb - 103? -5802 In base 6, what is 1132 - -1010? 2142 In base 11, what is -29114 - -14? -29100 In base 10, what is -31967 + 10? -31957 In base 7, what is 645 - -252? 1230 In base 5, what is -11140431 - 2? -11140433 In base 2, what is -1110111010111110 + 10? -1110111010111100 In base 7, what is -3224123 + -4? -3224130 In base 16, what is a - -3dbed? 3dbf7 In base 7, what is -16016356 + -2? -16016361 In base 7, what is -3 + 40660? 40654 In base 5, what is -13223234 + -30? -13223314 In base 7, what is 64552200 + -4? 64552163 In base 5, what is -14 + -31422? -31441 In base 7, what is 1456610 - -5? 1456615 In base 2, what is 11111000 - -1010111001? 1110110001 In base 15, what is 1187 + 8? 1190 In base 15, what is c45 + 9? c4e In base 11, what is -1402 - 6? -1408 In base 13, what is -109697 - -4? -109693 In base 13, what is -1659 + -4? -1660 In base 11, what is 44261 - 1? 44260 In base 14, what is -65ba + -8c? -6668 In base 9, what is -330213 - 26? -330240 In base 12, what is 6761 + 34? 6795 In base 5, what is -30244213 + 2? -30244211 In base 7, what is 55 + 664233? 664321 In base 11, what is -362 + 32a? -33 In base 3, what is -10010 - -112112? 102102 In base 11, what is 23 - -2747? 276a In base 4, what is -10333123 + 2213? -10330310 In base 14, what is 2a - 18a? -160 In base 15, what is 26bb + c? 26c8 In base 2, what is -10011110010 - -100101110100? 10010000010 In base 4, what is 11 - 11332102? -11332031 In base 5, what is -212 + -234010? -234222 In base 4, what is -1310212 + 1312? -1302300 In base 12, what is 182b + -43? 17a8 In base 12, what is -133a09 - -2? -133a07 In base 3, what is 21 - -2122122? 2122220 In base 9, what is 16 - -4265? 4282 In base 15, what is 62 + -1752? -16e0 In base 8, what is 16 - 205524? -205506 In base 10, what is -6152 + 61? -6091 In base 16, what is b - 91d1? -91c6 In base 4, what is 21 - -2120002? 2120023 In base 16, what is 40 - 19? 27 In base 9, what is -13 + -3105? -3118 In base 11, what is -40706a + -2? -407071 In base 13, what is -250c + -70? -257c In base 4, what is -2200230 + 1? -2200223 In base 4, what is 11 + 1321202320? 1321202331 In base 2, what is -100010111110110100 + 101? -100010111110101111 In base 14, what is 0 - 1c4b? -1c4b In base 7, what is -4 - 4543355? -4543362 In base 10, what is 556678 - 4? 556674 In base 14, what is -9dbb0 + -1? -9dbb1 In base 4, what is -1 - 10332101222? -10332101223 In base 8, what is -5 + -144422? -144427 In base 3, what is 2220111 - 2111? 2211000 In base 9, what is 123835 + -6? 123828 In base 16, what is 18 + 4c9? 4e1 In base 11, what is 4 - -98924? 98928 In base 5, what is -2 - 13323234? -13323241 In base 3, what is -2220022220000 - -11? -2220022212212 In base 8, what is -2722030 + -1? -2722031 In base 6, what is 445433 - -1? 445434 In base 14, what is -1 + 1a328? 1a327 In base 10, what is 3135 - -12? 3147 In base 12, what is -a51 + 19? -a34 In base 3, what is -210212 + -2121101? -10102020 In base 4, what is 10 - -231133202? 231133212 In base 14, what is -18b6 + -d? -18c5 In base 13, what is -aa4 - -a2? -a02 In base 5, what is -23214030 + -2? -23214032 In base 11, what is 24a8 - 6? 24a2 In base 16, what is -295 - 58? -2ed In base 5, what is 100211200 - 4? 100211141 In base 6, what is 12 + -22002? -21550 In base 11, what is -1 - -2281? 2280 In base 11, what is -8aa1 - -3? -8a99 In base 11, what is -363 + 18? -346 In base 16, what is -1 - 9425? -9426 In base 3, what is -11 + -210110122220? -210110200001 In base 16, what is -22d - 8? -235 In base 6, what is -4 + -110531? -110535 In base 7, what is -331015 + -4? -331022 In base 8, what is -2712 + 111? -2601 In base 10, what is 5 + 29710? 29715 In base 13, what is -158 + 2a? -12b In base 5, what is -201 - -10103014? 10102313 In base 4, what is -2130302 + -10? -2130312 In base 5, what is 131020414 + 2? 131020421 In base 14, what is 6011d3 - -1? 6011d4 In base 2, what is 10000 + 110011011? 110101011 In base 9, what is -5 - -602613? 602607 In base 4, what is 22 - 222? -200 In base 15, what is 390 - 8e? 301 In base 16, what is -159d + 5? -1598 In base 7, what is -1 + -122264? -122265 In base 13, what is c - b374? -b365 In base 7, what is -11 + -33162? -33203 In base 16, what is 2caa + -c? 2c9e In base 8, what is 232 - -113? 345 In base 11, what is 2 + 40994? 40996 In base 12, what is -1a - 7898? -78b6 In base 2, what is 110111000110011 - -100? 110111000110111 In base 8, what is 54 - -31522? 31576 In base 10, what is -1848 + -12? -1860 In base 3, what is -112220221122 + -1? -112220221200 In base 13, what is -2ab1 + 9b? -2a13 In base 13, what is 4 - -81106? 8110a In base 3, what is -1200 + 20002000001? 20001221101 In base 7, what is -231322 - 3? -231325 In base 6, what is 4552 - -225? 5221 In base 14, what is 88 - -47? d1 In base 8, what is -60766 + 0? -60766 In base 8, what is -20213 - 0? -20213 In base 6, what is 4 - 4204053? -4204045 In base 10, what is 903 - 5? 898 In base 8, what is 5574 - -21? 5615 In base 11, what is 6 - 37a7? -37a1 In base 2, what is 11 - -1011111110011? 1011111110110 In base 8, what is -2 + -770307? -770311 In base 8, what is -74 + 154? 60 In base 8, what is -346 + 1601? 1233 In base 5, what is 0 + 2433244? 2433244 In base 12, what is aa + -98b? -8a1 In base 6, what is -3054411 + 1? -3054410 In base 6, what is 2 - -221445? 221451 In base 5, what is -10 + -311141? -311201 In base 4, what is 1030 - -130113? 131203 In base 8, what is -70463 + 5? -70456 In base 16, what is -9aa08 + -1? -9aa09 In base 4, what is 1012003111 - 3? 1012003102 In base 7, what is 145211 + -2? 145206 In base 15, what is -18a + 1b7? 2c In base 9, what is -1302404 - -3? -1302401 In base 12, what is 3 + 201b? 2022 In base 6, what is -14 - 1331155? -1331213 In base 12, what is -578 - 95? -651 In base 13, what is 972 - -111? a83 In base 2, what is -10001001101011011 - 0? -10001001101011011 In base 14, what is -70 + 24? -4a In base 10, what is 49795 - 1? 49794 In base 2, what is 1100000011111010 - -10? 1100000011111100 In base 14, what is -15a991 + 0? -15a991 In base 7, what is 3 - -336445? 336451 In base 2, what is 1010 + 10010011111? 10010101001 In base 16, what is 4 + -2218? -2214 In base 6, what is 453 - -13340? 14233 In base 15, what is -3e - -4ecd? 4e8e In base 7, what is -3 + -16243? -16246 In base 5, what is 0 - -11303314? 11303314 In base 3, what is 22221 - 10000? 12221 In base 12, what is 20 - 565? -545 In base 7, what is -1233230 + -3? -1233233 In base 8, what is 2760 - 7? 2751 In base 8, what is 141727 - -1? 141730 In base 14, what is -36 - -1551? 1519 In base 15, what is e1 - -a19? b0a In base 4, what is -12 - -101101? 101023 In base 11, what is -33298 - 4? -332a1 In base 9, what is 1 + -2567? -2566 In base 9, what is 506527 + 0? 506527 In base 15, what is 55e1b - -2? 55e1d In base 5, what is -20 + 2003422? 2003402 In base 6, what is 203 + 12041? 12244 In base 3, what is -10 + -20122220110? -20122220120 In base 4, what is 1012113 - 10? 1012103 In base 6, what is 3 - -114205? 114212 In base 8, what is 22315 - 43? 22252 In base 10, what is -1055 + -13? -1068
Suppose -l + 4*l = 9. Suppose -l*i = 3*n + 15, 3*n + 5*i + 5 = -8. Let j be 5/((-10)/n) - -1. What is the greatest common factor of j and 4? 4 Let y be (-2)/(-6) - 204/(-36). Let o(u) = u**3 - 4*u**2 - 6*u + 2. Let w be o(y). What is the greatest common divisor of w and 57? 19 Let a(t) = -t**2 - 3*t + 4. Let h be a(-3). Let d be h/(-2) - -1*46. Calculate the greatest common divisor of d and 4. 4 Let r be 30*(0 - 5)/(-30). Let a = 1 + 2. Suppose -5*w + r*x + 320 = 0, 0 = -0*w - 5*w - a*x + 312. Calculate the greatest common divisor of w and 7. 7 Let i = -1139 + 1918. What is the highest common factor of i and 38? 19 Let c(l) = -2*l**2 - 2*l + 60. Let b be c(0). Let m be 78/8 + 1/4. Calculate the greatest common factor of m and b. 10 Let j be (-10 + -47)/((-10)/4 - -1). Calculate the highest common factor of 6 and j. 2 Let i be (297/(-18))/(1/(-6)). Let u = i - 47. What is the greatest common factor of 26 and u? 26 Suppose -8 + 6 = -2*y, 0 = 4*k + 3*y - 83. Let c(n) = 38*n**2 - 2*n. Let v be c(3). Suppose -3*q + v = -144. Calculate the highest common factor of q and k. 20 Let n = 99 - 93. Suppose -4*w - 4*v = -n*v - 634, -3*w + 3*v = -468. Calculate the highest common factor of w and 23. 23 Let s be (3*(-215)/(-30))/((-3)/(-6)). Let t = 61 - s. What is the greatest common factor of 9 and t? 9 Let s = 119 - 83. Suppose s = 16*o - 13*o. What is the highest common factor of o and 9? 3 Let t = -26 + 330. Calculate the greatest common divisor of t and 38. 38 Let w(a) = -8*a + 2. Let b be w(-9). Let y(n) = -8*n - 3. Let h be y(-3). Let s = h + b. Calculate the greatest common divisor of 19 and s. 19 Let j be 1359/(-39) + 30/(-195). Let i be 1 - 0/1 - -1. Let d be (j/(-14))/(i/36). What is the highest common factor of 18 and d? 9 Let m be 1 + 1 + 9 - -2. Suppose 10*z = 4*z + 30. Suppose -m = -q - z. Calculate the greatest common divisor of q and 16. 8 Let v = -18 + 21. Suppose g + 18 = -4*h, 5*g = h - v - 3. Let o(d) = -5*d. Let k be o(g). Calculate the highest common divisor of k and 20. 10 Let s(d) = -2*d**2 - 58*d + 38. Let m be s(-29). Calculate the greatest common divisor of m and 456. 38 Suppose -l - 20 = -6*l. Suppose 0 = -l*b + 428 - 168. Suppose -4*d = 3*i - 95, -i + 61 = 2*d - 4*i. What is the highest common factor of b and d? 13 Let v = 242 + -125. Suppose y = -5*s + 68, -2*y - 17 = -2*s + 3. Calculate the greatest common factor of v and s. 13 Suppose 0 = -6*i + 28 + 212. What is the greatest common divisor of 520 and i? 40 Suppose 5*u - 3*u + 5*n = 1534, -1534 = -2*u + 4*n. What is the highest common factor of 177 and u? 59 Let q(t) = -t**3 + 52. Suppose 3*o = -o - 7*o. Let w be q(o). What is the greatest common factor of 130 and w? 26 Suppose 2*d = 4*r - 94, 3*d = -4*r + 55 + 54. What is the greatest common divisor of 1 and r? 1 Suppose 4*y - 35 = 3*h, 0*y + 30 = 3*y - 3*h. Let w be 10/(-25) - (-192)/y. Calculate the highest common divisor of 95 and w. 19 Let l(j) = 16*j + 40. Let w(a) = -4*a - 10. Let b(o) = 6*l(o) + 26*w(o). Let g be b(-6). Calculate the greatest common factor of 112 and g. 28 Let c be (-18)/((-1)/((-20)/(-15))). Let y be 540/c*24/10. Calculate the greatest common factor of 9 and y. 9 Let g = 135 + -148. Let f be g/(3 - 5/(100/64)). Calculate the highest common factor of f and 26. 13 Suppose -2*g - 5*u + 20 = 0, 3*g - 5*g = 4*u - 18. What is the greatest common divisor of 60 and g? 5 Let t(f) = 2*f**2 + 19*f + 18. Let h(i) = -i**2 - 9*i - 9. Let x(y) = 5*h(y) + 3*t(y). Let o be x(-13). What is the greatest common factor of o and 11? 11 Let h(m) = -m**3 + 5*m**2 + 6*m - 1. Let x be h(-2). Calculate the greatest common factor of 55 and x. 5 Let z(s) = 5*s**2 - s + 9. Let c(d) = 3*d**2 - d + 4. Let i(t) = -7*c(t) + 4*z(t). Let j be i(4). Calculate the greatest common divisor of 16 and j. 4 Suppose -17*r = 88 - 377. Let p be 0 + 17/(-2)*-22. What is the highest common divisor of p and r? 17 Let l = 394 - 169. Calculate the highest common divisor of 45 and l. 45 Let u(t) = 5*t**2 - 11*t - 71. Let x be u(12). Calculate the greatest common factor of 11 and x. 11 Suppose 50 = -2*m + 4*m. Let s = m - -71. Calculate the greatest common divisor of 12 and s. 12 Suppose 0*x = 2*x - 2. Let i be (0 + 2)/(x - 0). Let q = -161 - -175. What is the greatest common factor of i and q? 2 Suppose -2*b - 4*x = 14, 5*b + x = 4*x + 30. Let d be 1/(b/20)*120/16. What is the highest common divisor of 50 and d? 50 Let s = 1670 - 1454. Calculate the greatest common factor of 8 and s. 8 Suppose 26*m - 3332 - 19886 = 0. What is the highest common factor of 47 and m? 47 Suppose -22*m + 24*m = 4. Let c(l) = -24*l**m - 1 + 25*l**2 + 1 + 3 + 3*l. Let h be c(-4). Calculate the highest common divisor of 28 and h. 7 Suppose 13 = 5*d + 3. Let u(c) = 6*c**d + c**2 - 2 + c**3 + 7 + 1. Let j be u(-7). What is the highest common factor of 2 and j? 2 Let v(t) = -t**3 + 7*t**2 + 6*t - 34. Let u be v(7). Let b be 4/(-6) - 1744/(-24). What is the greatest common divisor of u and b? 8 Suppose 2*m + 3*q = 3*m - 33, -2*q = -2*m + 70. Let b = -25 + m. What is the highest common divisor of 1 and b? 1 Suppose 3872 = 9*s - 34. Calculate the greatest common factor of 42 and s. 14 Suppose 51 = -3*r + 186. Let n be 3 + -2*(0 + -1). Suppose -5*d + r = -2*z - 76, -127 = -n*d - z. What is the greatest common factor of d and 10? 5 Let w = -9 - -99. What is the greatest common divisor of 12 and w? 6 Let p be 231*-1*(-56)/24. What is the greatest common divisor of 22 and p? 11 Suppose -5*v - 19 + 4 = 0, 0 = 2*p + 5*v - 97. What is the highest common factor of 280 and p? 56 Suppose -3*b - 30 - 120 = 4*a, 4*b - a = -200. Let n = -10 - b. What is the highest common factor of n and 100? 20 Let m be (-51)/(-34) + 126/4. Suppose -4*z + 268 = f, -6*f + 4*f = -z - 527. Calculate the greatest common factor of f and m. 33 Suppose 0 = -h + 2. Suppose -24 = -3*d + 36. Suppose -h*f - 8 = -d. Calculate the highest common divisor of 2 and f. 2 Let t be 30/9 + 2/(-9)*-3. Suppose -4*w + 5*w - 180 = t*u, -885 = -5*w + 5*u. What is the greatest common divisor of 44 and w? 44 Suppose 78 = 2*y + 4*y. Let t = y - 7. Calculate the greatest common divisor of 2 and t. 2 Let r(z) = 9*z + 41. Let v be r(5). Calculate the greatest common factor of 2 and v. 2 Suppose -309 = -14*a + 139. Calculate the greatest common divisor of 48 and a. 16 Let h = 516 - 330. Let q = -71 + h. Calculate the highest common factor of q and 46. 23 Let h be -1 - 1/((-2)/62). Let n(w) = w**3 + 10*w**2 - w. Let q(x) = 2*x - 2. Let f be q(-4). Let d be n(f). Calculate the greatest common factor of h and d. 10 Suppose -g + 6 = -2*j + 7*j, 3*j - 118 = -5*g. Calculate the highest common factor of g and 169. 13 Let j be 8/2 + 0/12. Let l = 23 - 10. Let m = 41 - l. Calculate the highest common factor of m and j. 4 Let i = 35 + -8. Let v(b) = -2*b - 13. Let k be v(-8). Suppose k*c + 8 = -d + 29, 5*c = d + 11. What is the greatest common divisor of d and i? 9 Let g = -322 + 343. Calculate the greatest common divisor of g and 112. 7 Let d = -22 - -39. Suppose 5*v = 2*q - 31, 2*q - 13 = 6*q + 5*v. Let g be 462/7 - (-4)/6*q. What is the highest common divisor of d and g? 17 Let k be (0 + 0 - -2)/((-24)/(-72)). Let c be (-2)/k*(-13)/((-13)/(-48)). Calculate the greatest common factor of c and 4. 4 Let v(g) = -62*g - 162. Let q be v(-3). What is the highest common divisor of 456 and q? 24 Let a(s) = -10*s - 20. Let z be a(-7). What is the greatest common factor of 225 and z? 25 Let a = -52 + 102. What is the highest common divisor of a and 50? 50 Suppose -6*s + 18 = -12. Suppose 0 = s*b + 22 - 52. What is the greatest common factor of b and 3? 3 Let k be ((-315)/14)/(10/(-300)). Calculate the highest common factor of 25 and k. 25 Suppose -43*y = -6*y - 56 - 55. Suppose 18 + 6 = a. What is the greatest common factor of a and y? 3 Let b(x) = -11*x**2 - x + 2. Let f(h) = 10*h**2 - 2. Let i(w) = 3*b(w) + 4*f(w). Let q be i(-2). What is the highest common divisor of 128 and q? 32 Let n be (-14)/3*6/(-4). Let j be (0 - 14/4)/(5/(-10)). What is the highest common divisor of j and n? 7 Let j = 31 - 25. Let u(f) = f**2 - 7*f + 8. Let l be u(j). Suppose 2*g - 2 = 5*h, 0 = -0*g - g - l*h + 10. What is the highest common divisor of 48 and g? 6 Suppose 0 = r - 1 - 32. Suppose -44 = -a - a. Calculate the greatest common factor of a and r. 11 Let p(i) = i**3 + 16*i**2 + 26*i - 26. Let k be p(-14). Suppose -6*c + c = 0. Suppose 5*q - k - 18 = c. Calculate the highest common factor of 4 and q. 4
Let c = -4567 + 109715/24. What is the common denominator of c and -8/11? 264 Let m(i) = i**3 - 11*i**2 - 12*i + 38. Let l(k) = 4*k - 4. Calculate the smallest common multiple of m(12) and l(5). 304 Suppose 3*s - 8 = 2*l, -s = -0*l - 4*l + 4. What is the lowest common multiple of 12 and -2*2/s - -15? 84 Let i(x) = -4*x**2 - x + 1. Let o be i(1). Let r = o + 6. Find the common denominator of 55/8 and r + (-2)/(8/(-15)). 8 Let u = 1/9166 + 215391/91660. Calculate the common denominator of (-294)/40 - 2/(-8) and u. 20 Suppose f + 136 = -3*f. Let y be 12/(-30) - f/10. Suppose 0 = y*b - 3, -7*x + 3*x - 3*b + 67 = 0. What is the lowest common multiple of x and 6? 48 Suppose 0*z = -z + 2. What is the smallest common multiple of 9 and z? 18 Let y = 21847/187 + -1256/11. Calculate the common denominator of (-4)/10 + 146/15 and y. 51 Calculate the common denominator of (-4)/(-10) + (-266)/(-510) + -1 and 131/18. 306 Let x(g) = -g**3 + 6*g**2 - 5*g - 2. Calculate the lowest common multiple of 1 - -2*1*5 and x(3). 110 Let v = 3829 + -38407/10. Let l be 614/(-1)*2/4. Let r = 910/3 + l. Find the common denominator of r and v. 30 Let l be ((-6)/940)/((-24)/(-47638)). Let i = -21/470 - l. Find the common denominator of i and 19/20. 40 Suppose 0 = 4*n + 21 - 5, -5*f + 5*n + 252300 = 0. Let m = -153875/3 + f. Let w = -854 - m. Calculate the common denominator of -4/3 and w. 3 Let v(g) = -2*g**3 - 3*g**2 - 2*g. Suppose 6*k + 4 = 4*k. What is the least common multiple of 3*(2/6 + 0) and v(k)? 8 Let x = -126 - -146. What is the least common multiple of 4 and x? 20 Let q(l) = -l + 3. Calculate the smallest common multiple of q(-6) and 11. 99 Let t = 4 + -4. Let k be (t - -2) + -5*2. What is the smallest common multiple of 6 and 6/(-21)*(1 + k)? 6 Calculate the lowest common multiple of 7 and (-3)/(9/(-6))*4. 56 Calculate the common denominator of (-5 + 763/(-56))/((-27)/4) and -65/22. 594 Let m(f) = -4*f - 2. Calculate the least common multiple of 26 and m(-5). 234 Calculate the common denominator of -65/4 and (-2)/180*(-430)/8. 72 Let r(z) = -2*z - 9. Let f be r(-6). Calculate the lowest common multiple of f/3 + (-11)/(-1) and 12. 12 Suppose 2 = 5*k - 13. Calculate the common denominator of (-2)/11*(k + 14) and -67/6. 66 Let u = 19/12 - 7/4. What is the common denominator of u and -111/10? 30 Calculate the common denominator of 10 - 6 - (-382)/(-104) and -91/4. 52 Suppose 5*m = u + 1 - 0, -u + 6 = 2*m. Suppose -4*w - m = -9. Calculate the common denominator of 158/40 + 3 - w and 53/14. 140 Let x = 53/52 + 237/13. Find the common denominator of 91/8 and x. 8 Let h = 3133/824 + -44/103. Find the common denominator of 25/8 and h. 8 Let r(n) = -n**2 - 7*n - 4. Let b be r(-5). Let i = b - 7. Calculate the least common multiple of -1*i/((-1)/(-7)) and 4. 28 Let t(g) = -8*g - 4*g + 2*g + 2*g**3 + 4 - g**3 - 9*g**2. Calculate the least common multiple of t(10) and 1. 4 Let q(z) = -5*z**3 + 2*z. Let m be q(-2). Find the common denominator of -121/12 and (-298)/m - (-4 + 2). 36 Let o(z) = -4*z + 4*z - z - z. Calculate the least common multiple of 14 and o(-1). 14 Let l = 39 - 4. What is the common denominator of 45 and l? 1 Let y be (-9921)/(-15) + 2/(-5). Let c = -5942/9 + y. What is the common denominator of c and (76/(-6))/(14/(-21))? 9 Suppose -j - 10 = -6*j. Let f(y) = -y**2 - 2*y + 2. Let n be f(-4). Let h(q) = q**2 + 4*q - 6. What is the least common multiple of h(n) and j? 6 Let n(v) = v**3 + 2*v**2 - 1. Let c = 2 + 0. Let y be n(c). Calculate the smallest common multiple of 9 and (y/9 - 2)*-6. 18 Let q = 1/1046 - -39223/2092. Calculate the common denominator of q and -21/22. 44 Let j(g) = -g**2 - 17*g - 18. Calculate the smallest common multiple of j(-12) and 4. 84 Let v(l) = -l + 2. Let q be v(0). Let o be (q - 14)/3 - -2. What is the common denominator of ((-10)/165)/(o/24) and 28/3? 33 Let v be (2/(-6))/((-1375)/(-15)). Let z = v - -23383/2200. What is the common denominator of -39/8 and z? 8 Let v(x) = x**2 + x - 6. Let b be v(0). Let f be 44/(-24) + (-1)/6. Calculate the common denominator of b/f*(-19)/5 and -27/7. 35 Suppose 2*s = -s - 5*g + 8967, -4*g = -2*s + 5956. Let k = -17945/6 + s. Calculate the common denominator of 3 - 3 - 25/3 and k. 6 Let k = 2268841/68 - 33366. Find the common denominator of -25/18 and k. 612 Let x = 21627 - 324611/15. Let g = x + 2593/120. Find the common denominator of (-3)/(162/393) + 2 and g. 72 Let d = 226/23 - -109/230. Calculate the common denominator of d and (-42)/44 - (-5 - -5). 110 What is the least common multiple of 22 and 135/60 - 1/4? 22 Suppose -4*f = -5*p + 38, -p = 3*p + 4*f - 16. Let t = 51 - 29. Calculate the lowest common multiple of t and p/(-9)*(0 - 6). 44 Let l be ((-56)/6)/((-2)/(-633)). Let q = -341637/116 + 429/58. Let u = l - q. Calculate the common denominator of u and -31/2. 4 Suppose 2*n - 2*w + 4 = -12, 4 = -w. Let s = 17 + n. What is the smallest common multiple of 11 and s? 55 Find the common denominator of 177*(-2)/(-18) + -2 and (-22)/(-20) + (-1 - 0). 30 What is the common denominator of (6/4)/(6/94) and 2 - ((-2)/3)/((-12)/(-399))? 6 Let o = 758/23 - 16381/414. Let i = -3880 + 38831/10. What is the common denominator of o and i? 90 Let i = 7 + 5. Let u = 403 - 397. Calculate the least common multiple of i and u. 12 Suppose -78 = -4*p + 2*p. Let d = p + 10. Let x = d + -27. What is the least common multiple of x and 10? 110 Let f = 45 - 35. What is the lowest common multiple of 6 and f? 30 Suppose 22 = 3*s - h, -2*s + 5*h + 17 = -15. Calculate the smallest common multiple of (s - 3) + 2 + 17 and 1 - -6*10/4. 176 Let g = -21956556403/596 + 36839877. Let u be (-6)/(-4)*(-4)/(-447). Let s = g - u. What is the common denominator of s and 59/4? 4 Let s = 4632 + -55651/12. Find the common denominator of -59/6 and s. 12 Suppose 0 = 2*l + 1 - 15. What is the smallest common multiple of 27 and l? 189 Let z = 209 - 395/2. Let g = -21059 + 463203/22. Calculate the common denominator of z and g. 22 Suppose 9 = -3*v + 4*v + 5*o, 3*v + 2*o = 14. Suppose -2*i + 80 = -124. Suppose -i = -5*f - 32. Calculate the least common multiple of f and v. 28 Let z = -18 - -26. Calculate the smallest common multiple of 2 and (-2)/z*40/(-5). 2 Let y(x) = x**3 - 4*x**2 - 5*x - 1. Let c be y(5). Calculate the common denominator of 379/126 + 4/(-14) and c/(-10)*21/2. 180 Let j(n) = -n**3 - 3*n**2 + 3*n + 1. Let z be j(-4). Let u = -3 + z. Suppose q + 0 - 5 = 0. Calculate the smallest common multiple of u and q. 10 Let n = -41 - -61. Calculate the lowest common multiple of n and 6. 60 Suppose 2*v - 2*f = f + 261, 0 = -5*v + 2*f + 680. What is the common denominator of -69/10 and 12/(-4) + v/8? 20 Let h = -7563 + 45259/6. Find the common denominator of -17 + 16 + 10/(-38) + 1 and h. 114 Let a(m) = 27*m - 2. Let b be a(-1). What is the common denominator of 53/6 and 4 + -2 - b/7? 42 Let z = 43 - 38. What is the smallest common multiple of z and 8? 40 Let s(c) = -c**2 - 7*c + 8. Suppose 0*g = -2*g + 4. Suppose -5*y - 7 - 7 = 2*h, -g*h + y = 14. What is the smallest common multiple of 9 and s(h)? 72 Calculate the smallest common multiple of 7 and -5 + 1 + 19 + 2. 119 Suppose 90 = a - 6*a. Let s(h) = -h**2 - 7*h - 1. Let m be s(-5). Find the common denominator of (33/16)/(m/a) and 81/4. 8 Let t = -4513/66 + 431/6. What is the common denominator of t and -50/3? 33 What is the common denominator of ((1290/(-4))/5)/3 and ((-670)/(-75))/((-3)/((-18)/8))? 10 Let y = -4247/4 + 1047. Find the common denominator of y and -75/16. 16 Let f be ((-1)/2)/1*-10. Suppose -3*h = -5*t + 25, -1 + 6 = t + f*h. Suppose -4*k + 53 = t*u, 39 = k + k + 5*u. What is the least common multiple of k and 8? 56 Suppose -89 = -5*i + 3*j, -3*i + j + 15 = -36. What is the smallest common multiple of 6 and i? 48 Let f = 18 - 4. Let u(t) = 10*t + 4. What is the least common multiple of u(4) and f? 308 Let r = 2/5529 + 392543/44232. Find the common denominator of -6*3*(-15)/396 and r. 88 What is the common denominator of -25/16 and (-35)/(-30)*(-2)/14? 48 Suppose 10*c - 30 = -0*c. What is the lowest common multiple of 9 and c? 9 What is the common denominator of (-292)/(-22)*(-4)/(-16) and 115/12? 132 Suppose -3*h = 2*t - h - 50, 0 = -4*h - 16. Let s be (-1317)/(-27) - (10/9)/(-5). Let i = s - t. What is the smallest common multiple of 8 and i? 40 Let y be (0 + (-7 - -1))/(-2). What is the smallest common multiple of (0 + 2)*3/1 and (y/(-1))/(1 - 2)? 6
What is the square root of 49944861 to the nearest integer? 7067 What is 47352638 to the power of 1/2, to the nearest integer? 6881 What is 360371646 to the power of 1/3, to the nearest integer? 712 What is 670636514 to the power of 1/2, to the nearest integer? 25897 What is the third root of 955052475 to the nearest integer? 985 What is 821633604 to the power of 1/2, to the nearest integer? 28664 What is 51893771 to the power of 1/7, to the nearest integer? 13 What is 53254194 to the power of 1/2, to the nearest integer? 7298 What is the square root of 43986472 to the nearest integer? 6632 What is the third root of 3382051769 to the nearest integer? 1501 What is the square root of 14035 to the nearest integer? 118 What is the square root of 2093476322 to the nearest integer? 45755 What is 49884935 to the power of 1/6, to the nearest integer? 19 What is the third root of 388686365 to the nearest integer? 730 What is 682918052 to the power of 1/9, to the nearest integer? 10 What is the fourth root of 204273017 to the nearest integer? 120 What is 3204396911 to the power of 1/2, to the nearest integer? 56607 What is the fourth root of 78389581 to the nearest integer? 94 What is 211510160 to the power of 1/3, to the nearest integer? 596 What is the fifth root of 115510900 to the nearest integer? 41 What is 90751400 to the power of 1/6, to the nearest integer? 21 What is the square root of 439384746 to the nearest integer? 20962 What is 19845749 to the power of 1/9, to the nearest integer? 6 What is the cube root of 44406223 to the nearest integer? 354 What is the square root of 3333435993 to the nearest integer? 57736 What is the fifth root of 44579561 to the nearest integer? 34 What is the sixth root of 7964320212 to the nearest integer? 45 What is the cube root of 671109447 to the nearest integer? 876 What is 838069426 to the power of 1/2, to the nearest integer? 28949 What is the third root of 77404811 to the nearest integer? 426 What is 1803982643 to the power of 1/2, to the nearest integer? 42473 What is the third root of 178743099 to the nearest integer? 563 What is 1192122334 to the power of 1/3, to the nearest integer? 1060 What is 266346019 to the power of 1/8, to the nearest integer? 11 What is the third root of 1068803113 to the nearest integer? 1022 What is 6478888392 to the power of 1/7, to the nearest integer? 25 What is 7602930240 to the power of 1/2, to the nearest integer? 87195 What is 18103558 to the power of 1/4, to the nearest integer? 65 What is the square root of 33910325 to the nearest integer? 5823 What is 50783137 to the power of 1/3, to the nearest integer? 370 What is 1312930698 to the power of 1/4, to the nearest integer? 190 What is the seventh root of 2894304 to the nearest integer? 8 What is 28257313 to the power of 1/2, to the nearest integer? 5316 What is 4158070361 to the power of 1/8, to the nearest integer? 16 What is 1992971996 to the power of 1/2, to the nearest integer? 44643 What is the tenth root of 158723113 to the nearest integer? 7 What is 29009492 to the power of 1/2, to the nearest integer? 5386 What is the seventh root of 1476359693 to the nearest integer? 20 What is the cube root of 180953518 to the nearest integer? 566 What is the cube root of 528135606 to the nearest integer? 808 What is 27968871 to the power of 1/9, to the nearest integer? 7 What is 21070793 to the power of 1/3, to the nearest integer? 276 What is the ninth root of 70359550 to the nearest integer? 7 What is the third root of 8494139159 to the nearest integer? 2040 What is 188509383 to the power of 1/9, to the nearest integer? 8 What is the third root of 452923238 to the nearest integer? 768 What is 3274100295 to the power of 1/7, to the nearest integer? 23 What is the tenth root of 77963286 to the nearest integer? 6 What is the eighth root of 590159779 to the nearest integer? 12 What is 135745245 to the power of 1/9, to the nearest integer? 8 What is the third root of 2889780909 to the nearest integer? 1424 What is the third root of 4154785078 to the nearest integer? 1608 What is the square root of 52549593 to the nearest integer? 7249 What is 76641439 to the power of 1/2, to the nearest integer? 8755 What is the square root of 1468270601 to the nearest integer? 38318 What is the third root of 51593766 to the nearest integer? 372 What is 1139326420 to the power of 1/2, to the nearest integer? 33754 What is 2858689149 to the power of 1/10, to the nearest integer? 9 What is the eighth root of 1242227791 to the nearest integer? 14 What is 6086999670 to the power of 1/10, to the nearest integer? 10 What is the cube root of 26339275 to the nearest integer? 298 What is 52552259 to the power of 1/3, to the nearest integer? 375 What is 659926323 to the power of 1/9, to the nearest integer? 10 What is 54126550 to the power of 1/4, to the nearest integer? 86 What is the third root of 2616494479 to the nearest integer? 1378 What is the sixth root of 1969930002 to the nearest integer? 35 What is the cube root of 130840797 to the nearest integer? 508 What is the third root of 960182345 to the nearest integer? 987 What is the square root of 1102898395 to the nearest integer? 33210 What is the third root of 584700813 to the nearest integer? 836 What is 612053070 to the power of 1/2, to the nearest integer? 24740 What is 19923465 to the power of 1/3, to the nearest integer? 271 What is the ninth root of 3052284733 to the nearest integer? 11 What is the fifth root of 943592868 to the nearest integer? 62 What is the square root of 1262584837 to the nearest integer? 35533 What is 1007698363 to the power of 1/4, to the nearest integer? 178 What is 1343886049 to the power of 1/2, to the nearest integer? 36659 What is 4032569163 to the power of 1/10, to the nearest integer? 9 What is the cube root of 1237602060 to the nearest integer? 1074 What is 867194705 to the power of 1/9, to the nearest integer? 10 What is the cube root of 1969385127 to the nearest integer? 1253 What is the third root of 53020274 to the nearest integer? 376 What is the cube root of 4632156264 to the nearest integer? 1667 What is 1029674308 to the power of 1/4, to the nearest integer? 179 What is 7549978945 to the power of 1/2, to the nearest integer? 86891 What is 9320396 to the power of 1/2, to the nearest integer? 3053 What is the sixth root of 186658921 to the nearest integer? 24 What is the fifth root of 28909620 to the nearest integer? 31 What is the eighth root of 45679634 to the nearest integer? 9 What is the third root of 378901732 to the nearest integer? 724 What is the fourth root of 306820560 to the nearest integer? 132 What is 92588043 to the power of 1/2, to the nearest integer? 9622 What is 32133122 to the power of 1/2, to the nearest integer? 5669 What is the third root of 39561581 to the nearest integer? 341 What is the square root of 311952954 to the nearest integer? 17662 What is 3999640847 to the power of 1/2, to the nearest integer? 63243 What is the square root of 670031338 to the nearest integer? 25885 What is the square root of 7945253586 to the nearest integer? 89136 What is the square root of 2944701852 to the nearest integer? 54265 What is 75291763 to the power of 1/2, to the nearest integer? 8677 What is the square root of 337670031 to the nearest integer? 18376 What is 235182623 to the power of 1/5, to the nearest integer? 47 What is the sixth root of 294693945 to the nearest integer? 26 What is 283868619 to the power of 1/3, to the nearest integer? 657 What is 27230353 to the power of 1/3, to the nearest integer? 301 What is the square root of 559670789 to the nearest integer? 23657 What is the eighth root of 2195455652 to the nearest integer? 15 What is 24022663 to the power of 1/3, to the nearest integer? 289 What is 72643383 to the power of 1/2, to the nearest integer? 8523 What is 212792492 to the power of 1/2, to the nearest integer? 14587 What is 863671284 to the power of 1/2, to the nearest integer? 29388 What is the sixth root of 231499363 to the nearest integer? 25 What is the fifth root of 368174734 to the nearest integer? 52 What is the fifth root of 114225359 to the nearest integer? 41 What is the fifth root of 59785269 to the nearest integer? 36 What is 417761942 to the power of 1/8, to the nearest integer? 12 What is 92712219 to the power of 1/3, to the nearest integer? 453 What is the ninth root of 3670822015 to the nearest integer? 12 What is 833538218 to the power of 1/9, to the nearest integer? 10
Find n such that -3*n**2/2 - 447*n/2 - 1287 = 0. -143, -6 Suppose 9*r**3 - 633*r**2 + 3606*r + 2688 = 0. What is r? -2/3, 7, 64 Suppose -3*y**2/5 + 159*y/5 - 156/5 = 0. What is y? 1, 52 Factor -2*v**2/15 + 4*v/5. -2*v*(v - 6)/15 Suppose 4*j**3 + 568*j**2 - 580*j - 1144 = 0. Calculate j. -143, -1, 2 Solve -4*g**3 - 1408*g**2 + 1436*g + 8472 = 0. -353, -2, 3 Determine i, given that 5*i**2 + 45*i = 0. -9, 0 Factor -m**2/4 + 29*m - 841. -(m - 58)**2/4 Suppose 14*h**2 - 16*h - 24 = 0. Calculate h. -6/7, 2 Factor -3*a**4/2 - 3*a**3/2 + 3*a**2. -3*a**2*(a - 1)*(a + 2)/2 Let c**5 - 4*c**4 - 39*c**3 + 54*c**2 + 540*c + 648 = 0. What is c? -3, -2, 6 Solve 2*l**2/9 + 2*l/3 = 0. -3, 0 Determine y so that 100*y**4/3 + 1260*y**3 + 5392*y**2 + 11152*y/3 + 704 = 0. -33, -4, -2/5 Find z such that -z**3 + 8*z**2 + 93*z + 180 = 0. -4, -3, 15 Find s such that -5*s**4/3 - 50*s**3 - 1120*s**2/3 + 50*s + 375 = 0. -15, -1, 1 Factor 5*q**3 - 100*q**2 + 385*q + 490. 5*(q - 14)*(q - 7)*(q + 1) Factor 3*l**5 + 15*l**4 + 30*l**3 + 30*l**2 + 15*l + 3. 3*(l + 1)**5 Solve -s**3/6 + 8*s**2/3 - 7*s/2 - 39 = 0. -3, 6, 13 Factor 2*l**4 - 53*l**3 - 8*l**2 + 212*l. l*(l - 2)*(l + 2)*(2*l - 53) Factor s**2 - 6*s - 72. (s - 12)*(s + 6) Factor 4*k**2/3 - 1064*k/3 + 70756/3. 4*(k - 133)**2/3 Suppose a**4/3 - a**3/3 - 2*a**2/3 = 0. What is a? -1, 0, 2 Solve -81*x**3/2 - 18*x**2 - 3*x/2 = 0. -1/3, -1/9, 0 Suppose -b**3 - 1205*b**2 - 362403*b + 363609 = 0. What is b? -603, 1 Let 3*s**3 + 312*s**2 + 2535*s - 329550 = 0. Calculate s. -65, 26 Factor -2*h**5 - 2706*h**4 - 1373632*h**3 - 310286704*h**2 - 26412298848*h - 26103383072. -2*(h + 1)*(h + 338)**4 Suppose -2*u**2/7 - 24*u/7 - 54/7 = 0. What is u? -9, -3 Determine p so that 3*p**4/2 + 342*p**3 + 26325*p**2 + 708750*p + 3796875/2 = 0. -75, -3 Solve 5*u**2 + 130*u + 345 = 0 for u. -23, -3 Factor -20*d**4 - 678*d**3 - 5712*d**2 + 578*d. -2*d*(d + 17)**2*(10*d - 1) Let 55*y**3/2 + 29*y**2 + 15*y/2 = 0. What is y? -3/5, -5/11, 0 Solve 99*c**3 + 586*c**2/3 + 281*c/3 - 8/3 = 0 for c. -1, 8/297 Factor w**5 - 15*w**4 - 24*w**3 + 116*w**2 + 192*w. w*(w - 16)*(w - 3)*(w + 2)**2 Factor 2*o**2 + 36*o - 80. 2*(o - 2)*(o + 20) Let -5*h**5 + 335*h**3 - 10*h**2 - 960*h + 640 = 0. Calculate h. -8, -2, 1, 8 Factor x**4/3 + 2*x**3/3 - 5*x**2/3 - 2*x. x*(x - 2)*(x + 1)*(x + 3)/3 Find r, given that 3*r**3 - 36*r**2 + 132*r - 144 = 0. 2, 4, 6 Factor 70*f**3 - 355*f**2 + 305*f - 20. 5*(f - 4)*(f - 1)*(14*f - 1) Solve 5*d**4 + 285*d**3 + 1455*d**2 - 3785*d + 2040 = 0. -51, -8, 1 Suppose -2*u**2/3 - 3292*u/3 + 6592/3 = 0. Calculate u. -1648, 2 Factor -3*x**3 + 285*x**2 + 579*x + 291. -3*(x - 97)*(x + 1)**2 Factor 2*y**2/19 + 248*y/19 + 7688/19. 2*(y + 62)**2/19 What is r in -r**5/6 - r**4/3 + 5*r**3/6 + r**2 = 0? -3, -1, 0, 2 Factor -4*z**3/5 - 224*z**2/5. -4*z**2*(z + 56)/5 Find w such that w**4 - 187*w**3/7 - 61*w**2/7 + 187*w/7 + 54/7 = 0. -1, -2/7, 1, 27 What is t in -t**2 + 54*t = 0? 0, 54 Determine i, given that -3*i**2/4 - 363*i/4 - 90 = 0. -120, -1 Find b such that b**3/2 + b**2/2 - 69*b/2 - 189/2 = 0. -7, -3, 9 What is c in -c**5 + 617*c**4 - 96094*c**3 + 284590*c**2 - 283361*c + 94249 = 0? 1, 307 Factor -20*g**2 - 124*g - 104. -4*(g + 1)*(5*g + 26) Suppose 3*q**3 + 15*q**2 - 1224*q + 3456 = 0. Calculate q. -24, 3, 16 Find l, given that 147*l**3/2 + 9450*l**2 + 5382*l + 768 = 0. -128, -2/7 Let -c**4/5 - 36*c**3/5 - 67*c**2/5 + 36*c/5 + 68/5 = 0. What is c? -34, -2, -1, 1 Factor m**4 - 8*m**3 + 5*m**2 + 50*m. m*(m - 5)**2*(m + 2) Let -j**2/5 - 988*j/5 - 244036/5 = 0. What is j? -494 What is l in 9*l**5/7 - 51*l**4/7 + 30*l**3/7 + 180*l**2/7 - 264*l/7 + 96/7 = 0? -2, 2/3, 1, 2, 4 Determine b, given that -4*b**3 + 12*b**2 - 8*b = 0. 0, 1, 2 Find l such that -3*l**2 + 3828*l - 1221132 = 0. 638 Factor -q**2/5 - 36*q/5 - 7. -(q + 1)*(q + 35)/5 Factor 8*s**3 + 48*s**2 + 42*s - 98. 2*(s - 1)*(2*s + 7)**2 Factor 5*c**3/4 + 43*c**2/4 + 59*c/2 + 26. (c + 2)*(c + 4)*(5*c + 13)/4 Find f such that -3*f**2 + 48*f - 117 = 0. 3, 13 Factor r**3 - 6*r**2 + 8*r. r*(r - 4)*(r - 2) Factor 3*i**2 - 303*i - 1260. 3*(i - 105)*(i + 4) Solve 4*q**5 + 226*q**4/9 + 20*q**3/3 - 128*q**2 - 320*q/9 = 0 for q. -4, -5/18, 0, 2 Solve -d**4/3 - 59*d**3/3 + 61*d**2 - 185*d/3 + 62/3 = 0. -62, 1 Factor -3*z**3 - 36*z**2 - 123*z - 90. -3*(z + 1)*(z + 5)*(z + 6) Let -3*r**2 + 27*r + 156 = 0. Calculate r. -4, 13 Solve -5*w**4/6 + 115*w**3/6 - 135*w**2 + 850*w/3 - 500/3 = 0. 1, 2, 10 Solve -15*l**3/2 + 42*l**2 + 18*l = 0 for l. -2/5, 0, 6 Determine p, given that 3*p**2 - 1890*p = 0. 0, 630 Let -3*i**3/2 - 243*i**2 + 981*i/2 - 246 = 0. What is i? -164, 1 Let w**5/4 - 7*w**4/4 + 7*w**3/2 - 2*w**2 = 0. What is w? 0, 1, 2, 4 Factor -5*h**4 + 25*h**3 + 20*h**2 - 220*h + 240. -5*(h - 4)*(h - 2)**2*(h + 3) Factor -s**2/4 + 37*s/2 - 36. -(s - 72)*(s - 2)/4 What is y in -6*y**2/5 - 22*y/5 + 8 = 0? -5, 4/3 Factor 3*u**2 + 15*u + 12. 3*(u + 1)*(u + 4) Factor -2*b**2/5 + 52*b/5 + 814/5. -2*(b - 37)*(b + 11)/5 Suppose 2*m**5/3 + 10*m**4/3 + 2*m**3 - 34*m**2/3 - 56*m/3 - 8 = 0. Calculate m. -3, -2, -1, 2 Let 2*n**5/7 - 2*n**4 + 20*n**3/7 = 0. What is n? 0, 2, 5 Suppose -2*o**5 - 30*o**4 - 144*o**3 - 216*o**2 = 0. What is o? -6, -3, 0 Let -m**2/4 + 50*m - 2500 = 0. What is m? 100 Factor -p**4/8 - 9*p**3/8 - 3*p**2/8 + 145*p/8 + 75/2. -(p - 4)*(p + 3)*(p + 5)**2/8 Suppose -18*x**2 + 248*x + 56 = 0. Calculate x. -2/9, 14 Factor 5*m**2 + 20*m. 5*m*(m + 4) What is a in 4*a**5/3 + 4*a**4/3 - 355*a**3/3 + 1796*a**2/3 - 1071*a + 588 = 0? -12, 1, 3, 7/2 Suppose -4*u**3 - 436*u**2 - 12096*u - 11664 = 0. Calculate u. -54, -1 Let -10*a**5 - 6*a**4 + 274*a**3 + 702*a**2 + 216*a - 216 = 0. Calculate a. -3, -1, 2/5, 6 Factor 25*b**4/4 + 95*b**3/2 - 219*b**2/4 - 551*b + 841. (b - 2)**2*(5*b + 29)**2/4 Let 3*f**2/5 - 57*f/5 + 102/5 = 0. What is f? 2, 17 Find n, given that -4*n**3 + 1836*n**2 - 280908*n + 14326308 = 0. 153 Factor -r**4 - 22*r**3 + 23*r**2. -r**2*(r - 1)*(r + 23) Factor -20*n**2 + 2064*n + 1664. -4*(n - 104)*(5*n + 4) Factor -h**4/5 + 9*h**3 + 94*h**2/5. -h**2*(h - 47)*(h + 2)/5 Factor 2*s**2/25 + 136*s/25. 2*s*(s + 68)/25 Solve 2*y**2 + 490*y - 988 = 0. -247, 2 Find j such that -j**4/3 + 14*j**3/3 - 59*j**2/3 + 94*j/3 - 16 = 0. 1, 2, 3, 8 Factor 4*o**5/7 - 96*o**4/7 + 664*o**3/7 - 1056*o**2/7 + 484*o/7. 4*o*(o - 11)**2*(o - 1)**2/7 Factor 4*u**2 - 492*u. 4*u*(u - 123) Suppose 5*t**4 - 315*t**3 + 4080*t**2 + 28900*t = 0. What is t? -5, 0, 34 Determine f so that -4*f**5 - 144*f**4 - 392*f**3 + 144*f**2 + 396*f = 0. -33, -3, -1, 0, 1 Find v such that -3*v**2/5 + 198*v/5 - 2067/5 = 0. 13, 53 Factor -g**2/2 + 3355*g/2. -g*(g - 3355)/2 Factor 12*l**5 + 51*l**4 + 84*l**3 + 66*l**2 + 24*l + 3. 3*(l + 1)**4*(4*l + 1) Suppose -57*b**5/4 + 573*b**4/4 + 1011*b**3/2 + 1029*b**2/2 + 627*b/4 - 39/4 = 0. Calculate b. -1, 1/19, 13 Factor 3*l**3/8 - 3*l**2/4. 3*l**2*(l - 2)/8 What is g in -5*g**4/2 + 460*g**3 - 3135*g**2 + 6660*g - 7965/2 = 0? 1, 3, 177 Determine d so that -4*d**3 - 40*d**2 - 36*d = 0. -9, -1, 0 Let -2*c**2 + 172*c - 1106 = 0. What is c? 7, 79 Suppose 2888*o**3/7 - 141968*o**2/7 + 22362*o/7 - 126 = 0. Calculate o. 3/38, 49 What is i in 3*i**3 + 27*i**2 + 60*i + 36 = 0? -6, -2, -1 What is u in -6*u**5 - 88*u**4 - 488*u**3 - 1260*u**2 - 1458*u - 540 = 0? -5, -3, -2/3 Factor -98*g**3/11 + 5348*g**2/11 - 72962*g/11. -2*g*(7*g - 191)**2/11 Determine b so that 5*b**5 - 120*b**4 + 160*b**3 + 1250*b**2 + 1515*b + 550 = 0. -1, 5, 22 Suppose -5*v**5 + 55*v**4 - 165*v**3 + 185*v**2 - 70*v = 0. Calculate v. 0, 1, 2, 7 Find h such that 5*h**2 - 620*h + 19220 = 0. 62 Find v, given that 2*v**3/3 + 364*v**2/3 + 16562*v/3 = 0. -91, 0 Factor -v**4/2 + 41*v**3 - 840*v**2 - 41*v + 1681/2. -(v - 41)**2*(v - 1)*(v + 1)/2 Let -2*z**2 - 1436*z/3 + 320 = 0. Calculate z. -240, 2/3 Factor -2*g**4/3 + 14*g**2/3 + 4*g. -2*g*(g - 3)*(g + 1)*(g + 2)/3 Suppose -2*g**3/5 + 378*g**2/5 - 23814*g/5 + 500094/5 = 0. Calculate g. 63 Suppose 2*a**2/9 - 4*a/3 + 10/9 = 0. Calculate a. 1, 5 Solve 2*u**3 + 38*u**2 + 88*u - 128 = 0 for u. -16, -4, 1 Let 6*y**4 + 4*y**3 - 18*y**2 - 24*y - 8 = 0. What is y? -1, -2/3, 2 Suppose 2*o**4/7 - 2*o**3 - 20*o**2/7 + 32*o/7 = 0. What is o? -2, 0, 1, 8 What is a in 2*a**4/3 - 86*a**3 + 9340*a**2/3 - 20800*a - 24000 = 0? -1, 10, 60 Factor 39*q**2/7 + 583*q/7 - 30/7. (q + 15)*(39*q - 2)/7 Determine x so that 2*x**4/11 + 4*x**3 - 2*x**2/11 - 4*x = 0. -22, -1, 0, 1 Find v, given that -2*v**4/5 - 2*v**3 + 6*v**2/5 + 26*v/5 - 4 = 0. -5, -2, 1 Factor -2*o**3 - 36*o**2 - 120*o - 112. -2*(o + 2)**2*(o + 14)
Which is bigger: 1 or 53/1858? 1 Is -10/9 smaller than 34153? True Which is bigger: 1026 or 7185/7? 7185/7 Which is bigger: 100705 or 100724? 100724 Is 300100/7 bigger than 42871? True Is -1 at least -2/30241? False Which is bigger: 52644/235 or 223? 52644/235 Which is smaller: 464456 or 464457? 464456 Which is smaller: 2 or 258/229? 258/229 Which is bigger: -95407 or -95405? -95405 Is 1548004 greater than 1548003? True Is -4074 <= -1206? True Is -4/727 > -1? True Which is smaller: -10395 or -10484? -10484 Is 300 < -5050? False Is 2.9 bigger than -627? True Which is smaller: 2/37181 or -3? -3 Which is greater: 2963 or 8885/3? 2963 Are 211 and 176 equal? False Which is smaller: 6 or -70066? -70066 Which is smaller: 0.9 or 94/113? 94/113 Which is greater: -2/5 or 75492? 75492 Which is smaller: -3623 or -61580/17? -3623 Which is smaller: -178047 or -178046? -178047 Is 2/112583 bigger than 0? True Is 35/6294 != 0? True Which is smaller: 0.1 or 1/5656279? 1/5656279 Is 1/4 greater than -11798? True Which is smaller: 5081411 or 5081410? 5081410 Which is greater: -25630 or -25629? -25629 Which is bigger: -185 or -199? -185 Is -232/7 greater than -32? False Which is smaller: -1 or -1347/65? -1347/65 Which is smaller: -126 or -1387? -1387 Which is smaller: 312/983 or 1/5? 1/5 Is 7/15490 at most as big as 1? True Is 0.15 less than -2034/151? False Which is greater: -3958 or -3974? -3958 Which is smaller: 1 or 92/5285? 92/5285 Is 445038 smaller than 2/7? False Do -37899 and -3.5 have the same value? False Which is greater: 14848 or 133627/9? 14848 Is 104967 < 104969? True Is -72533 bigger than -72528? False Is 8429 equal to 8465? False Are 24 and 1686 unequal? True Is -74628 greater than -74627? False Is 6877 less than or equal to 32? False Which is smaller: 65918 or -0.1? -0.1 Is -305569 < 2? True Which is smaller: -3/290513 or 0? -3/290513 Which is greater: -242973 or -242976? -242973 Which is bigger: 5847 or 5858? 5858 Which is greater: -1 or 0.045397? 0.045397 Which is bigger: -1 or 4/192923? 4/192923 Which is greater: 886 or 922? 922 Is 1 not equal to 1/852849? True Is -13589 greater than or equal to -13602? True Does -73805/9 = 0.04? False Which is smaller: 4/3 or 6127.3? 4/3 Which is smaller: 12/28825 or 0? 0 Which is bigger: 11330/2017 or 5? 11330/2017 Does 2430 = 2440? False Is 1 > -898623? True Does -4939/7 = -706? False Which is bigger: 9/1888 or -1? 9/1888 Which is bigger: -536 or 168? 168 Which is smaller: 4068 or 0.65? 0.65 Is -31605/121 >= -261? False Are -584 and -314 unequal? True Which is smaller: 249 or 2003/8? 249 Which is smaller: 5 or -2777.72? -2777.72 Does 1 = -359653? False Is -5 at least as big as 101426? False Is -71761 less than -71732? True Which is bigger: 3891467/2 or 1945734? 1945734 Which is smaller: 34763 or 34742? 34742 Which is smaller: -233/28087 or 0? -233/28087 Which is greater: -0.4 or -5934? -0.4 Which is smaller: -2/9 or -925.97? -925.97 Which is smaller: -1158/31237 or 1? -1158/31237 Which is smaller: 34061/2 or 17030? 17030 Is -2171/112 less than or equal to -18? True Which is smaller: -8566 or -4/7? -8566 Which is bigger: -2/21 or 4898? 4898 Is 137 less than or equal to 346? True Does -7 = 433981? False Is 3/5489863 equal to 1? False Is 230/11 at least -139? True Is 3 at most as big as 0.120822? False Do 1 and -147/341 have different values? True Which is smaller: 8 or 563/60? 8 Is 1/5 equal to -235293? False Is 9 less than -37645? False Is -26913 greater than or equal to -26916? True Is 33704 <= 1/11? False Is -1 <= 4/9903? True Which is greater: -3875 or -3877? -3875 Is -0.019 equal to 1296? False Which is bigger: 409/103 or 3? 409/103 Which is greater: 350562 or 350552? 350562 Is 3339 greater than or equal to 3907? False Is -5456/13 less than -419? True Is 535548 <= 535545? False Is 934492 equal to 934493? False Which is smaller: -43914 or -175659/4? -175659/4 Which is smaller: 18680/3 or 6226? 6226 Which is greater: -1350 or -1269? -1269 Which is smaller: 0 or 3/272633? 0 Is 230032 greater than -7? True Which is smaller: 2 or 40850? 2 Which is smaller: -36739 or -36740? -36740 Which is smaller: 0.9 or -72021? -72021 Which is greater: 1426 or 1731? 1731 Is 86 >= 87/2? True Is 28745 greater than 28742? True Which is greater: -224 or 206? 206 Which is smaller: -1572 or -1180? -1572 Which is smaller: 0.021574 or 47? 0.021574 Are -1558 and -1472 non-equal? True Which is smaller: -65067 or -2/7? -65067 Which is greater: 4 or -42988? 4 Is -3/8 <= 54069? True Is 443 greater than -548? True Is 4/132279 less than or equal to 1? True Which is smaller: -634 or -18/43? -634 Does 271458 = 271455? False Which is greater: 1/4 or -394438? 1/4 Which is smaller: 1 or -6/21343? -6/21343 Is -550098 less than -550101? False Which is greater: -96803 or -96799? -96799 Which is smaller: -105438 or -105440? -105440 Which is smaller: 1/10 or 0.01662? 0.01662 Which is greater: 961493 or 961492? 961493 Is -12/93443 > -1? True Which is smaller: 164/1339 or 0? 0 Is 47688 at most as big as 47808? True Which is bigger: 171.94 or 3/4? 171.94 Which is bigger: -3064/63 or -49? -3064/63 Which is bigger: 0 or -15/55619? 0 Is 2571 smaller than 2596? True Is 4 > -0.68341? True Are -819331 and -819331 equal? True Are 40996 and 40998 equal? False Which is greater: 546/8621 or -1? 546/8621 Which is smaller: -2816 or -2811? -2816 Which is greater: 2091 or 2167? 2167 Which is smaller: -10/19703 or 0? -10/19703 Which is bigger: 70320 or 70321? 70321 Which is smaller: -2/3 or -133466? -133466 Which is smaller: -222115 or -222113? -222115 Which is smaller: 3228 or 3708? 3228 Is -1 at least as big as -2/803307? False Is 0 < -69385? False Which is smaller: 54 or 56? 54 Which is smaller: 2448 or 24493/10? 2448 Is 1853083 less than or equal to 1853083? True Is -15503 equal to -15832? False Do -6/109013 and -1 have the same value? False Which is smaller: -94 or 3/73? -94 Which is smaller: 8229.73 or -2/15? -2/15 Is 102614/5 >= 20524? False Is 4914 greater than 54056/11? False Which is bigger: 1 or 173/40185? 1 Which is greater: 6.8 or -2/343? 6.8 Do -195385/37 and -5281 have different values? True Which is bigger: -178/2309 or 1? 1 Which is smaller: -1022 or -1026? -1026 Which is greater: 43895 or -26? 43895 Which is bigger: -320 or -428? -320 Do 2213598/11 and 201236 have the same value? False Is 1 less than 93/170? False Do 8/5 and -6/295 have different values? True Is -632 smaller than -4418/7? True Which is smaller: -139574 or -139567? -139574 Is 1/232193 >= -1? True Is -456339/5 at least as big as -91267? False Which is smaller: 247/44 or 31? 247/44 Which is greater: -4797 or 5? 5 Is 696439 smaller than 0.7? False Are -5852 and -5843 equal? False Which is bigger: -815 or -11413/14? -815 Which is smaller: 3/2 or -1.753? -1.753 Is 68/3 at least as big as 108? False Which is smaller: -2/55273 or -1/5? -1/5 Is -1 < -3/4938190? True Which is smaller: -145749 or -145750? -145750 Is -9674 equal to -65? False Which is smaller: 219 or -224? -224 Are -798 and -752 equal? False Which is bigger: 836 or 759? 836 Which is smaller: -98 or 34/1217? -98 Is -1/6437361 less than 0? True Do 1/21 and 36290 have the same value? False Is -1317 at most -1306? True Which is smaller: -123.333 or -4/9? -123.333 Is -996641 equal to -996644? False Do -1129967 and -1129967 have different values? False Which is bigger: -1 or -3384/1513? -1 Is -789 < -445? True Which is smaller: 126275 or 126270? 126270 Is -0.76 not equal to -3803? True Does 71132 = 71131? False Is 1691 at least as big as 10? True Are -35040/211 and -165 unequal? True Is 6686 greater than or equal to 58? True Is 9/17275 > 0? True Which is bigger: 0.4362 or 0.072? 0.4362 Which is greater: 3608193/2 or 1804098? 1804098 Which is greater: -2122 or -47/13? -47/13 Is 0.2 greater than or equal to -130064? True Is -1321/12109 at most as big as 1? True Is 3455/7 <= -3/5? False Which is greater: -2313 or -2307? -2307 Which is bigger: 2/58053 or 1? 1 Is -6 at least as big as -31/2068? False Is 78/25 smaller than -3/1118? False Which is smaller: 55/1733 or -1? -1 Do -1/5 and -1307/2 have different values? True Which is greater: -32/1247 or 1? 1 Is -111398 < -111403? False Which is smaller: 9208 or -6? -6 Which is smaller: -6021 or -6015? -6021 Which is bigger: 0.2 or -11.2842? 0.2 Is -3459 at least as big as 317? False Which is smaller: -70523 or -70551? -70551 Are 22494/173 and 131 unequal? True Are 2250 and 2234 nonequal? True Is -1 at least as big as -2/4336921? False Is 5.56067 smaller than 0? False Is 985000 at least 985000? True Is -1439 less than or equal to -15822/11? True Which is smaller: -6.124 or -0.2? -6.124 Which is bigger: -9650/47 or -206? -9650/47 Are 324 and 77 non-equal? True
Solve 14*i + 2*u = 11*i + 6, 0 = -4*i + 4*u + 8 for i. 2 Solve -5*d + 22 = -d + 2*r, 0 = 4*d - r - 19 for d. 5 Solve 326*m = 321*m + 5*c + 35, -5*m - 3*c - 5 = 0 for m. 2 Solve 4*c = 3*y + 12, 3*c = 4*y - 216 + 232 for c. 0 Solve c + b + 8 = 0, -2*c - 9*b = -4*b + 25 for c. -5 Solve 5*s + 3*r = -67 + 41, -2*r = s + 8 for s. -4 Solve 12*b + 8 = 8*b, -5*x + 5*b + 10 = 0 for x. 0 Solve h + w + 7 = 0, -5*h + 2*w = -2*h + 6 for h. -4 Solve 2*c + 0*t = -2*t + 6, 4*c + 6 = 2*t for c. 0 Solve 2*x + 4*h = 14, -x + 7*h = 8*h - 6 for x. 5 Solve 3*s = 5*v - 6, -4*s - 8 = -5*v + 4*v for s. -2 Solve 11*x - 6*x - 1 = -4*v, -3*v = 5*x + 3 for v. 4 Solve -3*y = 5*v - 12, 5*y = -5*v + 3*y + 13 for v. 3 Solve -5*g = -13 + 8, 2*s - 2*g = -4 for s. -1 Solve -5*t + 5*d + 0 = -5, -5*t - 23 = 2*d for t. -3 Solve d - 3*v = -0*v + 9, 3*d - 3*v - 15 = 0 for d. 3 Solve -4*b + 11 = -3*j, 2*j + 13*b = 18*b + 2 for j. -9 Solve 5*t + 25 = 0, -2*v - 5*t + 22 - 37 = 0 for v. 5 Solve -8 = 4*j + 2*a, 0 = 2*j + 4*a + 6 + 4 for j. -1 Solve 8*z - 10*z = -3*h - 14, -h = 5*z - 1 for z. 1 Solve 4*t + 4 = 4*r, -3*r = t - 0 + 13 for r. -3 Solve 0 = 2*q + 3*q - 3*z, -5*z = 4*q for q. 0 Solve 2 = a, -2*s = -a - 3 - 3 for s. 4 Solve 4*q + 3 = 5*f, -2*f + 26*q - 17 = 27*q for f. -5 Solve -4*z - r + 15 - 4 = 0, -2*z = 5*r - 19 for z. 2 Solve 0 = -2*q - t - 3, 4 = -2*q + t - 1 for q. -2 Solve -3*c + 26 = 20, 4*c = -3*x + 23 for x. 5 Solve 7*k = 3*k - 2*l + 16, -k - l = -4 for k. 4 Solve -3*n - 3*t + 6 = 0, 0 = -2*n + 4*t + 6 - 20 for n. -1 Solve -11 = -2*d + 3*n, 5*n + 13 = -6*d + 4*d for d. 1 Solve -3*h - 84 = -99, 5*y + 4*h - 5 = 0 for y. -3 Solve -z + 0*z - 2*f = 6, 4*f = -16 for z. 2 Solve -5 = x - 3*g, -5*x + 5*g - 11 = -2*x for x. -2 Solve 3*u + t + 22 = 3*t, -3*t = 2*u - 7 for u. -4 Solve 0 = -n - 2*c + 8, -48*c = -43*c - 25 for n. -2 Solve 0 = -4*z + 16, z + 16 = y + 6*z for y. -4 Solve 4*l = 12, -4*x + 4*l = 2*l + 6 for x. 0 Solve 3*y = 7*y - 4*g + 4, -5*y - 13 = 3*g for y. -2 Solve 21*t + 15 = -5*d + 22*t, -3*d - 2*t = 9 for d. -3 Solve 5*y + 16*k - 11*k = -30, -3*y - 4*k - 22 = 0 for y. -2 Solve -r + 3*r + 3*p - 5 = 0, -4*p = -3*r - 1 for r. 1 Solve 4*c + v = -c - 10, 0 = -4*v + 20 for c. -3 Solve 15 = -j + 5*u, -64*j + 59*j = 2*u - 6 for j. 0 Solve 0 = -3*x - 3*s + 18, -6 = x - 0*s - 3*s for x. 3 Solve 4*s + 3*r - 2 = 1, 0 = 5*s - 4*r + 4 for s. 0 Solve -4*c + 114*p - 16 = 110*p, -p + 7 = -4*c for c. -1 Solve 0 = -211*h + 207*h - s - 7, -3 = -h - 5*s for h. -2 Solve -f - 4*f + 3*u = -13, -4*u = -5*f + 14 for f. 2 Solve -5*p = -5*v - 20, 6*v - v + 17 = 4*p for p. 3 Solve -1 = -2*x + 3*w, -x + 2*w + 0*w - 1 = 0 for x. 5 Solve t - 7 = r - 2*t, 0 = -5*r - 3*t - 17 for r. -4 Solve 1 + 3 = 4*m + 4*c, 0 = -2*m + 5*c - 26 for m. -3 Solve -n + 4 = -4*g, -g = -3*n - 2*g - 14 for n. -4 Solve 8 = 4*w - 2*n, 3*n + 10 = 5*w - 2*n for w. 2 Solve 0 = 11*i + 4*f + 25, 2 = 2*i - 5*f + 18 for i. -3 Solve 4*j + 14 - 79 = 5*q, 0 = 5*j - 25 for q. -9 Solve -4*k = o - 14, 0 = -5*o - 148*k + 146*k - 2 for o. -2 Solve -3*r - 6 = -8*r + 4*l, -r = -5*l + 3 for r. 2 Solve 2*s + 8 = f, -5*s = -f + 15 + 8 for s. -5 Solve 4*m - 35 = -6*v + 3*v, m - 4*v + 15 = 0 for m. 5 Solve 2*y + 5*p - 19 = 0, 2*p = -2*y + 6*p - 8 for y. 2 Solve 3*k - d = -10, 3*k + 3*d = -d - 5 for k. -3 Solve 0 = -4*i + 4*l + 6 + 26, i - 3*l = 14 for i. 5 Solve 4*n + f = -0*f - 16, 3*n + 3 = -3*f for n. -5 Solve -3*s = 9, -5*f - 5*s = -137 + 177 for f. -5 Solve 2 = -j - 3*q - 0*q, 0 = 2*j - 2*q + 4 for j. -2 Solve -u + 6*m = 3*m + 16, -2*u + 5*m - 27 = 0 for u. -1 Solve 0 = -2*s - h + 4, 96*s - 97*s = 4*h - 9 for s. 1 Solve l + 4*x = 12, -5*x + 19 = -l + 4 for l. 0 Solve -2*r + 3 = -h, -38 = 5*r + h + 3*h for r. -2 Solve 3*r - 16 = 2*i, 54 = -5*r + 2*i + 74 for r. 2 Solve -4*z + 6 = -2*x, -4*x + 5 - 26 = z for x. -5 Solve -9*c - 2*i = -10*c - 7, 3*c - 2*i + 1 = 0 for c. 3 Solve 64*n - 6 = -2*i + 66*n, 0 = i + n - 1 for i. 2 Solve -4*w + 12 = s, s - 17 = 3*w - 19 for s. 4 Solve 1 = -5*o - 24, 2*o = -9*w - 19 for w. -1 Solve -3*r - 17*g = -19*g + 19, -r = -3*g + 11 for r. -5 Solve 899*f - 900*f - h - 2 = 0, 2 = 2*f - h for f. 0 Solve -2*g - 3*z + 5 = -0*g, 0 = -5*g + 2*z - 35 for g. -5 Solve 3*u + 0*u + 10 = -5*g, -u - 10 = -5*g for g. 1 Solve 4*x - 5 - 1 = -2*b, -5*x = -5*b for x. 1 Solve 91*z - 3*c = 86*z - 18, -2 = 2*z + 4*c for z. -3 Solve -8 = 4*q, 21 = -5*s + 11*q - 9*q for s. -5 Solve 3*n + 0*t - t = -1, t = -2 for n. -1 Solve o + 1 = -3*z, 14*o - 17 = -z + 18*o for z. 1 Solve 3*x - 6 = 2*v, -13*v + 12*v - 3*x = 3 for v. -3 Solve -7 = 3*k - j, -5*j = 4*k - 8 - 8 for k. -1 Solve 3*f - 7 = -3*g + 8, 5*g - 3*f = 25 for g. 5 Solve 3*m + 18 = -3*u - 3, 4*u - 8 = 5*m for m. -4 Solve -45 = -5*s - 5*t, -27*t + 24*t + 3 = -3*s for s. 4 Solve 4*q + 245*h + 7 = 240*h, 2*q - 7 = h for q. 2 Solve -2*c + 0*c + 11 = y, 4*c - 7 = 3*y for y. 3 Solve d + 16 = 5*c, 4 = 4*c - 12 for d. 4 Solve -2*r = 16*m - 21*m - 2, 4*m + r = -12 for m. -2 Solve -3*i - 2*v = 8, -7*i = -3*i - v + 29 for i. -6 Solve 16 = -4*r - u, 0 = -15*r + 11*r - 5*u for r. -5 Solve 2*h - 5*r = 6*h + 10, -5*h = -2*r + 29 for h. -5 Solve 3*r - 15 = -5*b + 4*r, -5*r = 25 for b. 2 Solve 2*k + s - 1 = 0, -47*k = -50*k - 3*s + 9 for k. -2 Solve o + 3*o + 4*d = -8, -3*d = -3*o + 6 for o. 0 Solve 0 = -4*b + 2*b - 5*g + 2, b - 3*g = -10 for b. -4 Solve 3*v - 3*y = 6, 3*y + 5 = 4*v + 2 for v. -3 Solve -4*b - 20 = 0, -3*m - 10 = 3*b + 17 for m. -4 Solve 0*o = -4*m + o - 20, 5*o = -5*m for m. -4 Solve 0 = 4*u - m - 17, u + 176*m - 175*m = -2 for u. 3 Solve -19 = 3*p + 3*o - 10, -4*o - 14 = 3*p for p. 2 Solve 2*a - 2 = -2*v, -3*a + 2*v + 0 = 7 for a. -1 Solve 4*u = -5*m + 32, -2*m = -5*m - u + 15 for m. 4 Solve t + g + 5 = 9, -2*g = -3*t + 2 for t. 2 Solve 1 = -3*j - g, 0 = 2*j + g - 6*g + 12 for j. -1 Solve 0 = 3*q + 2*f - 4, -5*q - 5*f + 119 - 114 = 0 for q. 2 Solve -4*m - 19 + 27 = 4*h, 3*h = -m + 8 for h. 3 Solve -5*k - 4 = -9*k, w - 3*k = 1 for w. 4 Solve -i + 5*f + 7 = 0, 0 = -5*i + 4*i - 2*f - 7 for i. -3 Solve 0 = 2*d - 2*h - 2, 0*d + 3*h + 1 = 5*d for d. -1 Solve -4*q + 2 = 3*y, 2*y = -y - 2*q - 2 for y. -2 Solve -56*j + 3*k = -51*j - 17, 2*j - 30 = 7*k for j. 1 Solve 5*v + 22 = 4*z, 0 = 4*z + 507*v - 511*v - 20 for z. 3 Solve c = -2*o + 11, 4*c = -0*c - 5*o + 35 for c. 5 Solve 3*c + 6 = -3*n, -4*c + 9 = -4*n - 23 for n. -5 Solve -5*t - 25 = 2*q, -13*t = -11*t + q + 11 for t. -3 Solve 5*r = 3*a - 15, 5*r + 6 = -3*a - 9 for a. 0 Solve 0 = 2*d - 4*i, -2 = 5*i + 8 for d. -4 Solve d - j + 6 = 4*d, -3*j = 5*d - 6 for d. 3 Solve 8 = -2*m, -t + 3*m + 6 = 2*t for t. -2 Solve 0 = 3*t + 3*a + 39 - 30, 5*a = -t - 27 for t. 3 Solve 2*y + 9 = 7*g - 4*g, -2*g = 5*y + 13 for g. 1 Solve 0 = k + 3*n + 3, 6*n + 5 = -2*k + n for k. 0 Solve 0 = -3*c + 4*x + 5, -76*c = -72*c + 3*x + 35 for c. -5 Solve 0*h + 5 = v - 2*h, 0 = 4*h for v. 5 Solve 16 = 79*o - 83*o + 2*i, 0 = 5*o - 3*i + 21 for o. -3 Solve 3*i = -p - 20, -5*i = -4*p + 2*p + 15 for i. -5 Solve 21 = 3*s + 2*y + 13, -s + y = 4 for s. 0 Solve -2*f + 9 = -r + 1, 2*r - f + 10 = 0 for r. -4 Solve q + q + 2*v + 2 = 0, -5*q + v + 13 = 0 for q. 2 Solve 4*j + 7 + 9 = -4*f, -4*j - 14 = 3*f for f. -2 Solve -3*q - 15 = -3*i, 3*i - 5*q - 9 = 14 for i. 1 Solve a = 5*c + 3, -a - 8 = 4*c + a for c. -1 Solve -5*l = p - 13, 0 = p - 5*l + 2 + 5 for p. 3 Solve -161*r + 164*r - 10 = g, 16 = -4*g for r. 2 Solve -11*b - 4*d = -12*b + 6, 0 = -3*b - 4*d - 14 for b. -2 Solve -5*i = -4*x - 18, 2 = 4*i - 7*i - 4*x for i. 2 Solve 5*y + 6 = 4*x, -4*y - 14 = 4*x + y for x. -1 Solve 3*s + 3*l - 15 = 0, 3*s + 5*l - 34 = -13 for s. 2 Solve 2*p + 0*p = -8, -5*u + 25 = -5*p for u. 1 Solve -w + 0*z = -2*z - 3, -5*z - 5 = 0 for w. 1 Solve 0 = 4*o - 9*m + 11*m - 6, -3*m = o + 11 for o. 4 Solve 0*w + 5*w - 4*i - 2 = 0, w + 14 = -4*i for w. -2 Solve 5*w - 28 = -2*j - j, 5*w - 3*j - 22 = 0 for w. 5 Solve -s - a + 5 = 0, -49*s + 25 = -45*s - a for s. 6 Solve 3*n + 3*f = 18, -3*n + 5*f = 2*f - 6 for n. 4 Solve 0 = 11*r - 10*r + 8*k + 38, r = -5*k - 23 for r. 2 Solve -5*u = 2*w - 6, -4*u + 7 = -2*w - 5 for u. 2 Solve 4*a + 2*p = -12 + 6, 3*a - 2*p + 8 = 0 for a. -2 Solve 10 = -2*d + 4*j, 0 = d + 6*j - 4*j - 15 for d. 5 Solve -3*g - 5*o - 2 - 13 = 0, -2*o = 6 for g. 0 Solve 3*n + 2*n + 10 = 5*k, 0 = 4*k + 2*n + 4 for k. 0 Solve 5*d = -20, 5*r - d + 3 = 7 for r. 0 Solve -4*o = -8*a + 7*a + 9, 0 = 5*o - a + 11 for o. -2 Solve 0*f + f - 1 = 0, 3*f + 5 = -4*s for s. -2 Solve 3*l + 12 = -d, -3*d + 4 + 10 = -l for d. 3 Solve 4*l + 16 = -3*v, -l + 3*l + 10 = -2*v for l. -1 Solve 5*v - 7 = -2*a, -2*v + 10 = 3*a - 4*a for a. -4
Express 9 - 2*h + 3*h - 75608774*h**4 - 33*h**3 + 75608785*h**4 in the form d*h**3 + c*h + s + m*h**4 + y*h**2 and give c. 1 Express -2270*y + 1 - 10*y**2 + 6 + 1136*y + 1133*y in the form u*y**2 + z*y + m and give m. 7 Express 2616*x + 17246*x**2 - 533*x**2 - 1794*x**2 - 2616*x in the form c*x**2 + v*x + g and give c. 14919 Rearrange -555*l - 1745*l - 561*l + 75*l to t + u*l and give u. -2786 Rearrange 3 - u**3 + 3*u**2 - 20 + 0*u**2 + 18 - u to the form z*u**3 + c + p*u + n*u**2 and give c. 1 Rearrange -7*g + 33*g**4 + 11 + g**3 - 3*g - 50*g**2 + 8*g + 49*g**2 - 5 to y + k*g**2 + o*g**3 + m*g**4 + f*g and give y. 6 Rearrange -53*c**2 + 312*c**3 + 34*c**2 - 2*c + 17*c**2 + 7*c**2 to the form b*c + l*c**3 + o*c**2 + n and give o. 5 Rearrange -2477*g + 6*g**4 + 2486*g - 4*g**4 - 20*g**2 - g**3 to v*g**3 + r*g**4 + p + j*g**2 + u*g and give r. 2 Rearrange (-3*c + 6*c - 2*c)*(-3 - 2 + 3)*(-92 - 195 - 237) to o + i*c and give i. 1048 Express (-3 - t**2 + 3)*(-11 + 7 + 33) + 27*t**2 - t**2 + 74*t**2 as a*t**2 + u + j*t and give a. 71 Rearrange (-366*x**4 - 651*x**4 + 285*x**4)*(-4 + 0 + 2) to m + i*x**4 + b*x**3 + t*x**2 + z*x and give i. 1464 Express 8*g - 11*g**2 + 230562 - 230562 + 56*g**2 as f*g + l*g**2 + s and give l. 45 Express (698 - 795 + 1396 + 1198)*(13*u - 21*u - 4*u) in the form t*u + s and give t. -29964 Express (-t**3 + 9*t**3 - 3*t**3)*(-3 - 3 - 2)*(9*t - 3*t + 2*t) in the form y*t**3 + g*t**4 + m*t + n + u*t**2 and give n. 0 Rearrange (2 + g - 2)*(6*g**2 + 3*g**3 - 6*g**2) - 21308536*g**2 - 18*g**4 + 21308496*g**2 - g**4 to the form b*g**4 + v*g**3 + r*g**2 + d*g + i and give r. -40 Express -1142027 + 2608*w + 135*w + 1142027 in the form z + d*w and give d. 2743 Rearrange -5141*r**3 - 2895*r + 1240*r**3 + 2892*r + (-3*r + 0*r + 2*r)*(2*r**2 + 4 - 4) to the form z + o*r**3 + y*r + x*r**2 and give x. 0 Express -1121*p + 1093*p + 2292*p**2 + 2 - 2293*p**2 as k + s*p**2 + d*p and give k. 2 Rearrange (8 - 1 - 1)*(-o**2 + o**2 - 3*o**2) + o**2 - 2*o + 2*o + (2 - 2 + 2*o)*(o - 3 + 3) + (-18 + 18 - 8*o)*(6*o - 4*o - o) to d*o**2 + k*o + x and give d. -23 Rearrange 3 - 963*o - 7*o**3 + 962*o + 5*o**2 - o**2 - 5*o**3 to the form q*o**3 + b*o**2 + p*o + c and give b. 4 Rearrange 11980*c**2 + 11986*c**2 - c - 23967*c**2 - 90*c**3 - 1 to the form y + z*c**2 + d*c**3 + r*c and give z. -1 Rearrange (2*g + 1 - 1)*(0 + 3 - 1) + 81*g - 2984 + 5884 - 2614 to n*g + p and give n. 85 Rearrange -2 - 5266*n**2 - 210*n**4 + 5221*n**2 + 51*n + 105*n**4 + 103*n**4 to the form q*n**4 + k*n + t + f*n**3 + c*n**2 and give f. 0 Express (-602*y**2 + 602*y**2 + 16*y**3)*(-130 + 64 + 54) in the form p*y**3 + o + a*y**2 + f*y and give p. -192 Express 63 + 983*f + 983*f - 1965*f + 5*f**2 + 3 in the form k*f**2 + p*f + z and give k. 5 Express -5*b**3 - b**3 + 4*b**3 + (26 - 8 - 159*b - b**2 - 20)*(-9 + 9 + 4*b) in the form z*b**2 + q*b**3 + r + u*b and give u. -8 Rearrange (-150 + 150 + 23*z - 2 - z + 2 + (3*z - 5*z + 0*z)*(-1 + 5 - 5) + 4*z - 2*z + 0*z)*(z + 4*z - 17*z) to the form c + h*z**2 + f*z and give h. -312 Express -7 + 457*n + n**4 - 1359*n + 454*n + 456*n as u + w*n + j*n**4 + s*n**3 + q*n**2 and give w. 8 Express -55 + 49*l**3 + 55 - 7*l**3 - 44*l**3 - 8*l**3 + (4 + 2 - 5)*(-2*l**3 - l**3 + l**3) as m*l + f + x*l**3 + o*l**2 and give x. -12 Express (-147*i**2 - 32*i**2 - 13*i**2 + (4*i - 3*i - 3*i)*(2 - 2*i - 2))*(3 - 4 + 2)*(3 + 8 + 0) as d + r*i**2 + p*i and give r. -2068 Rearrange (-17 + 11 + 9 + 9*j)*(6 - 1 - 2) + (0 + 3 - 5)*(-j - 2*j + 5*j) - 15*j - 5*j - 27*j to a*j + u and give u. 9 Rearrange 41*v**2 - 130 - 29*v**2 + 128 - v**3 - 4*v to the form f*v**2 + o*v + y + l*v**3 and give o. -4 Rearrange -39 + 119 - 44 + 4557*q**2 - 36 to the form o*q + j + z*q**2 and give j. 0 Rearrange (24*r - 24*r - 7*r**2)*(4 - 1 - 2) + (-5*r + 0*r + r)*(-4*r + r + 0*r)*(0 + 3 + 3) to i + g*r + m*r**2 and give m. 65 Rearrange 721*c - 3*c**3 - 435*c**2 - 539*c**2 - 720*c + c**3 to n*c + x*c**3 + d + p*c**2 and give x. -2 Rearrange -786*n**2 + n - 2 + 784*n**2 - n**3 + 5*n + 136*n**4 + 3 - 5*n to the form w*n + c*n**3 + x + t*n**4 + g*n**2 and give g. -2 Express 7*w - 2*w - 2*w + (-9 + 3 + 5)*(-2 - 6 + 3)*(2*w - 2*w + 5*w) in the form h*w + d and give d. 0 Rearrange -10*z**3 - 26367 + 117*z**2 + 13177 + 13190 - 2*z + 2*z + z**3 + (3*z + 0*z - 2*z)*(2*z**2 + 0 + 0) to the form t*z + j*z**2 + o*z**3 + a and give t. 0 Express 2*w**3 + 338*w**2 + 367*w**2 + 154*w - 695*w**2 in the form u*w**3 + t + d*w**2 + n*w and give d. 10 Rearrange -4*g + 3385*g**2 - 3378*g**2 + g**3 - 12 - g to p + f*g**2 + i*g + a*g**3 and give p. -12 Rearrange 44*q**2 - 97*q**2 + 11 - 1903*q + 1898*q + 55*q**2 to the form h*q + d*q**2 + m and give m. 11 Rearrange 5274*s + 2 - 2 + 6576*s + 114*s to w*s + l and give w. 11964 Express d**3 - 15934*d**2 + 31748*d**2 - 15864*d**2 + 16*d as a*d**3 + t*d**2 + l*d + o and give a. 1 Rearrange 149 + 123 + 110*i**2 + 29 + 676 - 103*i**2 to s*i**2 + f*i + c and give c. 977 Express 0*g + 40*g - 3*g**3 + 7*g - 2 - 16*g - 12*g**4 in the form j*g**2 + a*g**4 + t*g + r*g**3 + k and give t. 31 Express (4 + 40*m - 2 - 30*m)*(-2436*m**3 + 2*m - 107 + 2430*m**3 - 79) as x*m + j*m**4 + z*m**3 + y + f*m**2 and give j. -60 Rearrange 252*x - 29 + 69*x + 37*x - 64*x + 126*x to s + v*x and give s. -29 Rearrange (2 + 1 - 19 - 6)*(7*u + 24 + 6 - 33) to s + b*u and give b. -154 Express -15*o**2 - 40*o**3 + 13*o**3 + 17*o**3 + 93*o + 9*o**3 in the form p + j*o + k*o**3 + z*o**2 and give j. 93 Express (-11*r + 7*r - 25*r)*(7 + 6 - 2)*((4 - 2 - 1)*(-3 - 3 + 4) + 1 - 3 + 1) as i + f*r and give f. 957 Express (16924 + 11754 - 7343)*(2 + 2 + 2*u - 2) in the form s + n*u and give s. 42670 Express 11 + 35*p**3 + 3*p + p**3 - 9 + 46*p**3 - 2*p**2 - 3 as c*p**3 + v*p + h + b*p**2 and give h. -1 Rearrange (6*i - 3*i - 4*i)*(504 + 4179*i + 402 - 904) to the form x*i**2 + p + g*i and give x. -4179 Rearrange 5*w - 21*w**3 + 29*w**3 - 12*w**3 + 0*w - 9*w**3 + 2*w**2 to b*w + d*w**3 + i + f*w**2 and give b. 5 Rearrange -1905*d**4 + 253*d - 49*d - 2*d**3 - d**2 + 1906*d**4 - 1 to the form a*d + j*d**4 + o*d**2 + v*d**3 + m and give a. 204 Express (-2 - 2 + 5)*(-196*c + 3 - 4 + 282*c) - 5*c + 0*c + 0*c in the form q*c + v and give q. 81 Express -96 - 15*j + 121 + 122 in the form a*j + t and give t. 147 Express (2*p - 179*p**4 + 15*p**4 - 33*p**4 + p**2)*(0 - 1 - 2)*(-3 - 4 + 3) in the form b*p**4 + h*p**3 + l*p**2 + d*p + n and give l. 12 Express (53471*p + 36*p - 8990*p)*(-2 + 1 + 3) in the form b*p + w and give b. 89034 Express -127737*l + 127737*l - 4*l**2 - 738 - 2480 as x + v*l**2 + o*l and give x. -3218 Rearrange 3*n**4 - 7 + 5078876*n**2 - 5078874*n**2 - 6 to the form p*n**2 + k*n**4 + a*n + t + m*n**3 and give p. 2 Express (255852*q - 504535*q + 253656*q)*(-3 - q + 3) - q**2 + 1 - 2*q**2 + 0*q**2 in the form t*q + u + l*q**2 and give l. -4976 Rearrange (13*q + 6*q + 3*q)*(-113*q**2 - 4*q**2 - 40*q**2) to v*q**2 + k*q + a*q**3 + t and give a. -3454 Rearrange -2308*k + 1090*k**3 + k**2 - 3*k**2 + 2306*k to the form n*k**3 + u*k + s*k**2 + o and give s. -2 Express 2 - 5 - 13 + 25*j**2 + j**2 in the form m*j + v*j**2 + d and give d. -16 Rearrange -15*f**3 - 4374 + 38*f**2 - 52*f**2 + 4368 to y*f**2 + w*f + p*f**3 + u and give y. -14 Rearrange (2 - 3 + 3)*(245*s + 238*s + 406*s) + 2*s - 2*s - s to l + o*s and give l. 0 Express 235*r - 20 + 31*r**4 + 12 + r**2 - r**3 - 236*r in the form n*r**4 + o*r**2 + c*r**3 + i*r + y and give y. -8 Rearrange -1 + 1 + 3*r + (-2 + 2 - r)*(0 - 2 + 1) + 0*r + 2*r + 0*r + 1 - 1 - r + 3*r + 2*r - 6*r + 65 - 105 + 30*r + 60 to g*r + c and give g. 34 Rearrange (20*m**2 - 92*m**2 - 7*m**2)*(-22*m**2 + 49*m**2 + 45*m**2) - 4*m**4 - 2*m**4 + 4*m**4 to a*m + q*m**4 + j*m**3 + y + x*m**2 and give q. -5690 Rearrange (-3*i + 2*i + 2*i + (1 + 1 - 3)*(-4 - 2*i + 4) + 166 + 168 - 337 - 47*i)*(-3*i - 2*i**2 + 3*i) to z + a*i**3 + j*i**2 + h*i and give a. 88 Express (3 + 0 - 1)*(-2*x - 3 + 3) + 138*x + 295*x - 136*x - 800*x - 1871*x as u + s*x and give u. 0 Rearrange (508 - 508 - 46*c)*(1 + 2 - 2)*(-3*c + 14*c + 3*c) to m + l*c + s*c**2 and give s. -644 Express (-245 + 88 + 51 + q)*(-27 + 27 + 4*q) + q**2 + 1 - 1 in the form s + n*q**2 + k*q and give k. -424 Rearrange (3 + l**2 - 3)*(4640 + 2470 - 2510 + 2100) to the form k + g*l + i*l**2 and give i. 6700 Rearrange -w**3 + 2*w**2 - 916*w**4 - 10 + 464*w**4 + 453*w**4 + 0*w**2 to the form v*w**3 + l + n*w**4 + u*w**2 + t*w and give l. -10
Solve 24*b - 28*b = 0 for b. 0 Solve -25 = -16*t + 11*t for t. 5 Solve -t - 3 = 2 for t. -5 Solve -45 = 36*m - 153 for m. 3 Solve -5*u + 370 = 375 for u. -1 Solve 0 = -27*t + 25 - 52 for t. -1 Solve -9*p = -21*p - 48 for p. -4 Solve 0 = 11*r + 9 - 20 for r. 1 Solve 12*a = -5*a - 68 for a. -4 Solve -15 = -18*a + 13*a for a. 3 Solve -4 = -165*d + 169*d for d. -1 Solve -6*i - 34 - 8 = 0 for i. -7 Solve -2*w + 8 + 0 = 0 for w. 4 Solve 9*d - 2 = 34 for d. 4 Solve 13*v - 115 = -89 for v. 2 Solve -125 = -4*h - 117 for h. 2 Solve -26*m = 49 + 29 for m. -3 Solve -36*v = -107 - 37 for v. 4 Solve 0 = -3*r - 5 + 11 for r. 2 Solve -42*g - 77*g = 595 for g. -5 Solve 27*a - 77 + 293 = 0 for a. -8 Solve 0 = 2*u + u + 7*u for u. 0 Solve 18*r - 153 = 45 for r. 11 Solve 96*w - 129*w + 198 = 0 for w. 6 Solve 91 = -9*c + 37 for c. -6 Solve 3*o = -9*o - 24 for o. -2 Solve t = -16*t - 51 for t. -3 Solve -5*p + 10*p = 10 for p. 2 Solve 121*k = 122*k + 8 for k. -8 Solve 644 = -7*m + 595 for m. -7 Solve -4 = 8*j - 28 for j. 3 Solve -7*y + 28 = 7*y for y. 2 Solve -84*j + 82*j = 4 for j. -2 Solve -60 = -5*w - 10*w for w. 4 Solve -6 + 9 = -k for k. -3 Solve -13*x + 5*x + 16 = 0 for x. 2 Solve 35*l - 31*l = -16 for l. -4 Solve 51*a + 4 = 52*a for a. 4 Solve -8 = -2*w - 0*w for w. 4 Solve -901*y + 8 = -893*y for y. 1 Solve 55*a - 15 = 60*a for a. -3 Solve 0 = -54*j + 46*j - 56 for j. -7 Solve -18*w - 69 = 21 for w. -5 Solve 45*l - 47*l = -4 for l. 2 Solve -17*k - 51*k = -68 for k. 1 Solve 20*p = 15*p + 20 for p. 4 Solve -a - 12 = -4*a for a. 4 Solve 16*z + 5*z - 8*z = 0 for z. 0 Solve -56 + 140 = 12*l for l. 7 Solve -2*j + 460 - 462 = 0 for j. -1 Solve 0 = 20*b - 18*b - 8 for b. 4 Solve -3*r - 12 - 3 = 0 for r. -5 Solve -15*l = -9*l + 6 for l. -1 Solve 2*h - 10 = -2 for h. 4 Solve -9*f = -5*f + 12 for f. -3 Solve 31*d = -6*d + 74 for d. 2 Solve 0 = -7*x - 0 - 35 for x. -5 Solve 21*o + 30 = 6*o for o. -2 Solve 116 = -14*i + 228 for i. 8 Solve -10*i = -0*i for i. 0 Solve 26 = -4*p + 10 for p. -4 Solve -114*x + 84*x = 90 for x. -3 Solve 0 = 8*v + 33 + 23 for v. -7 Solve -47 = -3*q - 38 for q. 3 Solve 3*y - 94 + 67 = 0 for y. 9 Solve -2*i + 7 = 11 for i. -2 Solve 36*t = 3*t + 198 for t. 6 Solve s + 1 = -2 for s. -3 Solve -28 - 8 = 12*y for y. -3 Solve -3*s - 2 - 13 = 0 for s. -5 Solve -30*m - 4 = -31*m for m. 4 Solve -68*o = -38*o - 120 for o. 4 Solve 30*s = 24*s + 24 for s. 4 Solve -a - 78 = -14*a for a. 6 Solve 74 = -57*a - 17*a for a. -1 Solve -27*f + 30 - 192 = 0 for f. -6 Solve -14*l + 175 = 91 for l. 6 Solve -o = -4*o + 12 for o. 4 Solve 0 = -5*u + 20 - 10 for u. 2 Solve -3*g = -37 + 52 for g. -5 Solve 64 - 26 = -19*a for a. -2 Solve 0 = -64*t + 67*t - 9 for t. 3 Solve -9*o - o = 20 for o. -2 Solve 13*n - 3*n = -50 for n. -5 Solve 194*w - 10 = 199*w for w. -2 Solve 3*o = -o + 2*o for o. 0 Solve 5 = 28*l - 23*l for l. 1 Solve -14*g + 3777 = 3623 for g. 11 Solve 62*z - 79*z = 68 for z. -4 Solve -11*s - 2 = -10*s for s. -2 Solve 0 = 6*o - 6 - 24 for o. 5 Solve 57*r + 5 = 56*r for r. -5 Solve -5*j = 149 - 169 for j. 4 Solve -2*o = 6*o - 0*o for o. 0 Solve -27*n - 48 = 168 for n. -8 Solve 226*o - 236*o + 80 = 0 for o. 8 Solve 3 = -24*k + 27*k for k. 1 Solve 0*j - 2 = j for j. -2 Solve 66*g - 71*g = 0 for g. 0 Solve 5*o - 9 = -4*o for o. 1 Solve 0*z - 55 = -11*z for z. 5 Solve 4*f - 4 = -0*f for f. 1 Solve 134 + 31 = -55*r for r. -3 Solve 0 = 20*j - 13*j - 28 for j. 4 Solve s = -0 + 6 for s. 6 Solve -60*u = 107 + 433 for u. -9 Solve 11*c + 50 + 5 = 0 for c. -5 Solve 0 = -6*r + 25 + 17 for r. 7 Solve 0 = 2*y - 0*y - 7*y for y. 0 Solve 13*t - 5*t = 0 for t. 0 Solve 19*p = 20*p - 5 for p. 5 Solve -18*g + 6 = -12*g for g. 1 Solve -6*q = -21*q + 90 for q. 6 Solve -575 = 74*q - 131 for q. -6 Solve -19*k + 120 = -43*k for k. -5 Solve 0 = 6*j - 17*j - 44 for j. -4 Solve -37*c + 20*c - 34 = 0 for c. -2 Solve 117*g - 711 = 38*g for g. 9 Solve 21*x - 19*x - 8 = 0 for x. 4 Solve 81 = 3*w + 24*w for w. 3 Solve -4 = -4*c + 6*c for c. -2 Solve 131*j - 120*j - 11 = 0 for j. 1 Solve -52 - 56 = -54*s for s. 2 Solve 0 = 3*m - 6*m for m. 0 Solve -108 = -34*j - 74*j for j. 1 Solve -w + 15 = 20 for w. -5 Solve 52 = -4*x + 64 for x. 3 Solve 5 = -3*t - 4 for t. -3 Solve 7*o + 19 = -12*o for o. -1 Solve 0 = -8*n - 97 + 121 for n. 3 Solve -330*x + 333*x = -12 for x. -4 Solve 267 - 321 = 18*t for t. -3 Solve 225 = -241*g + 266*g for g. 9 Solve 0 = -17*v + 80 - 131 for v. -3 Solve -3*i + 0 - 9 = 0 for i. -3 Solve -86 + 14 = -18*r for r. 4 Solve 10*g = 102 - 142 for g. -4 Solve 5*b + 6*b - 44 = 0 for b. 4 Solve -4*p - 9 = -p for p. -3 Solve 278*y = 280*y - 10 for y. 5 Solve 14 = -199*d + 206*d for d. 2 Solve -n = -2*n - 4 for n. -4 Solve -530*f + 527*f - 6 = 0 for f. -2 Solve -58 + 31 = 9*y for y. -3 Solve -172*b = -173*b - 6 for b. -6 Solve 10*y + 0*y = -40 for y. -4 Solve -436 = -2*g - 458 for g. -11 Solve 803 - 830 = 3*c for c. -9 Solve 2849*i - 2865*i = -176 for i. 11 Solve -28*x = -32*x + 4 for x. 1 Solve 0 = 3*a - 11*a + 16 for a. 2 Solve -185 = -9*j - 239 for j. -6 Solve 0 = 7*i - 0*i - 28 for i. 4 Solve -15*s - 48 = s for s. -3 Solve 4 = -15*b - 26 for b. -2 Solve 9*p = 28 - 64 for p. -4 Solve 35*z + 15*z - 250 = 0 for z. 5 Solve 8*p = 2*p for p. 0 Solve -11 = -6*z - 23 for z. -2 Solve -10*r = -r - 18 for r. 2 Solve 10 = 336*s - 338*s for s. -5 Solve -7*m = -3 + 10 for m. -1 Solve 0 = -28*u + 29*u - 2 for u. 2 Solve -20*q = -15*q + 25 for q. -5 Solve -40 = -8*z + 18*z for z. -4 Solve -16*y + 270 = 14*y for y. 9 Solve -56*k = 66*k - 976 for k. 8 Solve 16 = -589*z + 581*z for z. -2 Solve -168 = -79*r + 464 for r. 8 Solve 2 = o + 6 for o. -4 Solve 0 = 5*x - 10 - 30 for x. 8 Solve -3*q + 2 = 11 for q. -3 Solve -10*a = 65 - 25 for a. -4 Solve 26*z = -219 + 63 for z. -6 Solve 0 = 30*l - 32*l + 6 for l. 3 Solve x - 36 = 13*x for x. -3 Solve -5*w + 1920 - 1925 = 0 for w. -1 Solve -4 + 8 = -2*x for x. -2 Solve 6*i = 8*i for i. 0 Solve -263 + 269 = -2*k for k. -3 Solve 660*n = 670*n - 40 for n. 4 Solve 0 = -56*m + 52*m + 20 for m. 5 Solve 5*d - 2*d = -d for d. 0 Solve w - 8 = -9 for w. -1 Solve -157*h + 134*h - 115 = 0 for h. -5 Solve -10*i + 3*i - 21 = 0 for i. -3 Solve -3 = 13*v + 36 for v. -3 Solve -4 = -f - 0 for f. 4 Solve -6*m = -2*m + 8 for m. -2 Solve -36*i + 13 = -23*i for i. 1 Solve -8*k + k = 5*k for k. 0 Solve 521*d = 506*d + 30 for d. 2 Solve -15 = -12*k + 9*k for k. 5 Solve 21*v - 18*v = -12 for v. -4 Solve -8*u + 12*u + 12 = 0 for u. -3 Solve 4 = -2*c + 12 for c. 4 Solve 36 = -17*f + 29*f for f. 3 Solve 3*g = -4*g - 35 for g. -5 Solve -8*w - 484 = -460 for w. -3 Solve 6*o = 3*o - 12 for o. -4 Solve 0 = -11*o + 16*o - 45 for o. 9 Solve 184 = -11*r + 129 for r. -5 Solve 0 = 3*n + 5 - 11 for n. 2 Solve -11 = -l - 10 for l. 1 Solve -28*c = -33*c + 25 for c. 5 Solve -29*g = -971 + 913 for g. 2 Solve 9*d - 13*d + 4 = 0 for d. 1 Solve 0 = -8*z + 3*z - 5 for z. -1 Solve 316 = 35*x + 106 for x. 6 Solve 21*s - 51 = 54 for s. 5 Solve 0 = -4*x - 15 + 3 for x. -3 Solve 198*y - 206*y - 64 = 0 for y. -8 Solve 5*m - 2 = -7 for m. -1 Solve -24 = 40*b - 46*b for b. 4 Solve 48*f + 21 = 261 for f. 5 Solve 0*w = -3*w - 15 for w. -5 Solve -89*c + 36 - 214 = 0 for c. -2 Solve -31*p = -28*p + 9 for p. -3 Solve -93*b + 86*b - 28 = 0 for b. -4 Solve 0 = -3*p + 2*p + 2 for p. 2 Solve -18*b = -21*b + 18 for b. 6 Solve 20*i - 10*i + 40 = 0 for i. -4 Solve -59 + 57 = 2*c for c. -1 Solve 33*i - 24*i = -75*i for i. 0 Solve 811*c = 802*c + 63 for c. 7 Solve 77 = -40*w - 3 for w. -2 Solve -13*p + 8 = 60 for p. -4 Solve -6*h - 4*h = -20 for h. 2 Solve -1808*k = -1816*k - 40 for k. -5 Solve 6 = -9*n + 15*n for n. 1 Solve -28 + 46 = 6*q for q. 3 Solve -47*k - 5 - 183 = 0 for k. -4 Solve -6 - 2 = -4*q for q. 2 Solve -275 = 53*k + 2*k for k. -5 Solve 43 = 5*s + 18 for s. 5 Solve -68 = -12*p - 8 for p. 5 Solve -7*j = -9 + 2 for j. 1 Solve 0 = 27*m - 89 - 46 for m. 5 Solve 0 = -u - 1512 + 1516 for u. 4 Solve 0 = 8*r + 21 + 19 for r. -5 Solve -2*o = -12*o for o. 0 Solve -1821 + 1843 = 11*g for g. 2 Solve 29*h + 56 = -118 for h. -6 Solve -44 = -27*m + 10 for m. 2 Solve 4*q - 72 + 60 = 0 for q. 3 Solve 3*f = -99 + 90 for f. -3 Solve 0 = 43*g - 52*g - 27 for g. -3 Solve 15*k = -1980 + 1875 for k. -7 Solve 232*s + 200 = 257*s for s. 8 Solve 0 = -2*v + 24*v + 44 for v. -2 Solve 13*q + 77 = 2*q for q. -7 Solve -f = -57 + 54 for f. 3 Solve 0 = 15*s - 52 - 38 for s. 6 Solve 0 = -9*m + 8*m - 3 for m. -3 Solve 0 = 6*w + 395 - 377 for w. -3 Solve 130 = -6*o + 82 for o. -8 Solve -24*f - 153 + 81 = 0 for f. -3 Solve 0 = 15*o + 30 + 15 for o. -3 Solve 10*w + 27 = -3 for w. -3 Solve a - 1518 + 1515 = 0 for a. 3 Solve 3*q + 18 = 45 for q. 9 Solve -32*c = -27*c + 10 for c. -2 Solve -524*s - 25 = -529*s for s. 5 Solve -16 - 32 = 12*y for y. -4 Solve 63 - 59 = 2*m for m. 2
Let t(z) = 633*z - 633*z - z**2. Let c(r) = 16*r + 1. Let y(g) = 32*g + 3. Let h(m) = -5*c(m) + 2*y(m). Determine t(h(k)). -256*k**2 + 32*k - 1 Let u(m) = 13*m - 4. Let r(l) = -24*l + 7. Let t(f) = -4*r(f) - 7*u(f). Let q(p) be the third derivative of p**5/15 + 5*p**2 + 14. Calculate t(q(z)). 20*z**2 Let y(x) = -969497*x + 2. Let c(t) = -15*t. Give c(y(f)). 14542455*f - 30 Let a(w) = 136*w. Let z(d) = -11*d**2 - 2*d - 8. Let q(p) = 56*p**2 + 11*p + 44. Let m(g) = -2*q(g) - 11*z(g). Give a(m(x)). 1224*x**2 Let f(s) = -29*s**2 + 8*s. Let o(n) = -27*n**2 + 6*n. Let p(j) = -3*f(j) + 4*o(j). Let i(c) = 2*c + 54. Determine p(i(t)). -84*t**2 - 4536*t - 61236 Let k(h) = -2*h**2 + 3*h - 428682. Let t(r) = 2*r. Give k(t(i)). -8*i**2 + 6*i - 428682 Let y(p) = 5*p. Let q(g) = -923*g + 4470. What is q(y(u))? -4615*u + 4470 Let c(p) = p + 92108. Let r(n) = -72*n + 1. Give c(r(t)). -72*t + 92109 Let c(h) = -24*h + 1. Let u(r) = 34*r. Let g(f) = 3*c(f) + 2*u(f). Let x(j) be the second derivative of -j**4/4 + j. What is x(g(m))? -48*m**2 + 72*m - 27 Let r(l) = 19702*l**2 + 6*l. Let w(h) = 9*h. What is r(w(k))? 1595862*k**2 + 54*k Let z(v) = 6*v. Let g = 38 + -32. Let c(k) = -k**2 - 7*k - 4. Let l be c(-6). Let x(j) = g*j**2 - 2*j**2 - 2*j**l. Calculate x(z(q)). 72*q**2 Let j(b) = 10*b + 186*b - 29*b - 50*b + 40*b. Let g(s) = 11*s. Give g(j(x)). 1727*x Let k(g) = 21*g. Let h(o) = -190*o - 23. Let v(c) = 2*h(c) + 18*k(c). Let x(t) be the third derivative of t**5/30 - t**2. What is v(x(u))? -4*u**2 - 46 Let u(o) = -o + 336. Let k(f) be the third derivative of f**5/60 - 3237*f**2. Determine k(u(w)). w**2 - 672*w + 112896 Let z(x) be the second derivative of -x**4/8 + 68*x**2 - 234*x. Let c(b) be the first derivative of z(b). Let w(y) = -67*y - 1. What is c(w(o))? 201*o + 3 Let p(t) = t + 5. Let b(s) = -66*s + 21. Let i(k) = -b(k) + 4*p(k). Let a(v) = 12*v. Determine a(i(r)). 840*r - 12 Let q(m) be the second derivative of 0*m**2 + 11 + 1/3*m**3 + m. Let p(f) = 62*f. Give p(q(g)). 124*g Let p(a) = 15229*a + 2*a**2 + 527 - 15229*a. Let r(i) = 2*i. Calculate p(r(w)). 8*w**2 + 527 Let d(j) = 16*j. Let a(o) be the first derivative of -17*o**3/3 - 11*o - 1183. Calculate a(d(t)). -4352*t**2 - 11 Let r(j) = -11*j**2 + 6*j - 3. Let i(x) = -82*x**2 + 44*x - 22. Let u(m) = -3*i(m) + 22*r(m). Let v(q) = 843*q - 1. Calculate v(u(p)). 3372*p**2 - 1 Let j(c) = -c - 4. Let z be j(-6). Let x(u) = -z + 2 - 6*u**2 + 8*u**2. Let m(g) = -2940*g**2 - 2937*g**2 + 5876*g**2. What is x(m(i))? 2*i**4 Let c(j) = 2*j**2 + 1346*j + 4. Let r(s) = -1394*s + 1. Calculate r(c(p)). -2788*p**2 - 1876324*p - 5575 Let l(t) = -2*t. Let s(k) = 3*k**3 - k**2 + 3*k - 3. Let d be -2*(-2 + (-12)/8*-1). Let i be s(d). Let r(f) = -266 + 266 + 12*f**i. What is l(r(w))? -24*w**2 Suppose -173*a - 507*a + 117*a = -9571. Let g(y) be the first derivative of 0*y + a - 3/2*y**2. Let l(h) = -3*h. Give l(g(t)). 9*t Let x(c) = 2*c**2. Let u(m) be the second derivative of 817*m**4/6 - 2*m + 1928. Give x(u(k)). 5339912*k**4 Let n(a) = a**2. Let t(l) be the second derivative of 0*l**3 - 224*l + 155/3*l**4 + 0 + 0*l**2. Calculate t(n(r)). 620*r**4 Let j(p) be the second derivative of 19*p**4/12 + 83575*p + 1. Let w be 1 - ((-1)/(-1) + -2). Let b(f) = w*f - 5*f + f. What is j(b(n))? 76*n**2 Let d(q) = q - 28. Let c(z) be the third derivative of -19*z**4/24 - 1390*z**2. Determine c(d(u)). -19*u + 532 Suppose -2*d + 1118 = 4*b, -3*b - 92 + 1760 = 3*d. Let a = 636 - 83. Let c(p) = -p - a + d. Let i(u) = -31*u**2. What is c(i(j))? 31*j**2 Let y(x) = -22*x. Let b(i) = i**2 + i + 11. Let z(u) = -10*u**2 - 8*u - 88. Let j(o) = 24*b(o) + 3*z(o). What is j(y(k))? -2904*k**2 Let i(p) = -1365045*p**2 + 1. Let t(r) = 2*r. Give t(i(k)). -2730090*k**2 + 2 Let v(h) be the third derivative of 25*h**4/24 + h**3/3 - 497*h**2. Let o(b) be the first derivative of b**3/3 + 1. Determine v(o(j)). 25*j**2 + 2 Let b = 259 + -170. Let s(t) = b*t + 85*t - 171*t. Let h(u) = u. What is s(h(i))? 3*i Let y(s) = 2*s**2 + s. Let q(m) = 37695*m. Calculate q(y(v)). 75390*v**2 + 37695*v Let y(s) = -4 - 19*s + 21*s + 4. Let q(r) = -6*r - 45. What is y(q(n))? -12*n - 90 Let y(m) = -m**2 + 28124*m - 14060*m - 14064*m. Let o(l) = 2275*l. Determine y(o(r)). -5175625*r**2 Let y(s) = -2*s - 40. Let t be y(-21). Let d(r) = 186*r**2 + 186*r**2 - 373*r**t. Let o(h) = -2*h**2 - h**2 + 2*h**2. Determine o(d(j)). -j**4 Let b(z) = 355*z - 836*z + 482*z. Let v(q) = -1289*q + 2. Calculate b(v(a)). -1289*a + 2 Let y(x) = -x**2. Let b(d) = 11*d**2 - 16*d - 4. Let q(g) = 14*g**2 - 20*g - 5. Let n(u) = 5*b(u) - 4*q(u). What is n(y(o))? -o**4 Let o(a) = 95*a**2 + 19*a. Let z(t) = 19*t**2 + 4*t. Let j(q) = -4*o(q) + 19*z(q). Let p be 4/5*10/4. Let u(m) = m**2 + m**p + 40*m - 40*m. Calculate u(j(x)). 722*x**4 Let l(o) = -12*o. Let t be 11/((-44)/(-48)) - (-2 + 3). Let a(w) = w + 38*w - 13*w - t*w. What is l(a(c))? -180*c Let z(x) = -943*x**2 - x - 29. Let y(a) = 37*a - 2. Give y(z(h)). -34891*h**2 - 37*h - 1075 Let m(s) = -4*s**2. Suppose -3*d + 44 = -4. Suppose -2*z - 8 = -d. Let t(n) = -z*n + 4*n + 59*n**2 - 71*n**2. Give t(m(x)). -192*x**4 Let d be 18/(-12) - 1/(-2). Let a(t) = -5 + 0 + t + 4. Let y(r) = 13*r**2 - 26*r + 26. Let h(z) = d*y(z) - 26*a(z). Let x(k) = -2*k**2. Determine x(h(m)). -338*m**4 Let q(t) = 3*t**2. Let k(l) = -103912893*l**2 - l. Determine k(q(s)). -935216037*s**4 - 3*s**2 Let g(f) = -692*f**2. Let u(o) = 52957*o. What is g(u(l))? -1940675143508*l**2 Let n(f) = 13*f. Let q(a) = -25*a - 496. Let v be q(-20). Let i(g) be the third derivative of 0*g**3 - 1/60*g**5 + 0*g**v + 0*g + 0 - 14*g**2. What is n(i(x))? -13*x**2 Let s(c) = 259*c. Let d(r) = 457*r + 42. Give d(s(n)). 118363*n + 42 Let k(a) = 6*a + 5. Let z(v) = -5*v - 4. Let d(p) = -4*k(p) - 5*z(p). Let w(b) = -36762*b - 25*b**2 + 18382*b + 18380*b + 11 - 11. What is w(d(h))? -25*h**2 Let g(t) = 58*t**2 + 34*t. Let u(f) = -5*f**2 - 3*f. Let q(z) = -6*g(z) - 68*u(z). Let a(b) = -16*b - 1. Give a(q(l)). 128*l**2 - 1 Let d(q) = 13*q + 11*q + 2*q + 15*q. Let g(i) be the second derivative of i**4/24 + 35*i**2/2 + 5*i. Let j(k) be the first derivative of g(k). Give j(d(v)). 41*v Let u(a) = -16*a. Let l(y) = 30680815*y**2. Give l(u(q)). 7854288640*q**2 Let v(y) = 28*y. Let l(x) = -68*x. Let n(m) = 5*l(m) + 12*v(m). Let c(r) = 262*r**2. Calculate n(c(o)). -1048*o**2 Let g(a) = -19*a - 2239. Let p(l) = l**2 + 14. Give g(p(n)). -19*n**2 - 2505 Let q(i) be the second derivative of 5*i**3/6 + 11676*i. Let l(f) = 100*f. What is l(q(y))? 500*y Let z(w) = -5*w**2 + 8. Suppose 0 = 6*u - 7*u - 8. Suppose 2 + 1 = v. Let x(j) = -2*j**2 + 3. Let q(p) = u*x(p) + v*z(p). Let g(f) = -7*f**2. Determine q(g(d)). 49*d**4 Let a(j) = -143*j**2. Let h(q) be the second derivative of -q**6/180 - q**3/3 + 10*q**2 + 21*q. Let t(r) be the second derivative of h(r). Determine a(t(m)). -572*m**4 Let y(f) = -900*f**2 + 1801*f**2 - 900*f**2. Let k(i) = -571*i. Determine k(y(u)). -571*u**2 Let q(d) be the first derivative of -2 - 4/3*d**3 + 0*d + 0*d**2. Let b(l) be the third derivative of -l**4/8 + 2*l**2 - l + 2809. Determine b(q(p)). 12*p**2 Let n(c) = 6*c. Suppose 64*j - 261 = -69. Let o(a) be the second derivative of 0 - 1/4*a**4 + 0*a**j - 21*a + 0*a**2. What is n(o(u))? -18*u**2 Let a(g) = 27162 - 27162 + g**2. Let c(q) be the first derivative of 19*q**2 - 11. What is a(c(h))? 1444*h**2 Let j(m) = 4*m**2. Suppose 34 = -5*b + 19, -2*b - 8 = -h. Let u(g) = -4*g + 6 + 2*g - 10 - h - g. What is u(j(l))? -12*l**2 - 6 Let x(v) = 4*v**2. Let g(d) = d**2 + 37*d + 330. Let b be g(-15). Let i(a) be the first derivative of -21 + 3/2*a**2 + b*a. Calculate i(x(s)). 12*s**2 Let t = 140 - 131. Let x(f) = -f - t*f - 3*f + 4*f. Let l(u) = 8*u. Determine x(l(q)). -72*q Let s(y) = -14*y**2. Let i(p) = -273 + 276*p - 271*p + 302. Give s(i(q)). -350*q**2 - 4060*q - 11774 Let r(c) = -18*c - 120657. Let z(o) = 7*o. Calculate r(z(a)). -126*a - 120657 Let k(p) = 317*p**2 + 136*p**2 - 455*p**2. Let d(g) = 12158*g. What is k(d(v))? -295633928*v**2 Let a(x) = -7*x**2. Let v(f) = 3*f**2 - 2*f - 8. Let r be v(6). Let u = -83 + r. Let k(z) = 9*z - 3*z - u*z. Determine a(k(i)). -7*i**2 Let g(c) = 12*c**2. Suppose -3*q = 5*s - 3*s - 34, s + q = 19. Let i(o) = 44*o - s*o - 126 + 126. Calculate i(g(f)). 252*f**2 Let v(w) = 45*w. Suppose 0 = -5*c - 66 + 111. Suppose -n - c = -2*x - 26, -4*n + 4*x + 52 = 0. Let h(u) = n - 6 + u - 3. What is v(h(r))? 45*r
Let k = -12171 + 12155. Is -316/19 not equal to k? True Let z be 39/(-30) + 1 + 0. Let v = -103 + 53. Let j = v - -51. Do j and z have the same value? False Let y be (-6)/(-20)*-238 - (-10)/10. Let t = y - -85. Which is bigger: 14 or t? t Suppose -4*u - 442 = 2*i, i + 5*u + 2031 = 1804. Which is bigger: i or -215? -215 Let o(t) = 81*t**3 + 2*t**2 + 373*t - 1851. Let j be o(5). Are 10190 and j non-equal? True Suppose k + k + 4 = 0. Let t be (5 + 0)*k/965. Let b = -750 - -750. Is t <= b? True Let n = 22 + -23. Is n at least 26/521? False Suppose -1305 = -4*b + 5*k, 2*k + 330 + 647 = 3*b. Do 329 and b have the same value? False Let y be -2 - (135/18)/(-1) - 7. Are -22 and y non-equal? True Let b = -32 + 32. Suppose b = -2*k + 4*h - 4, 0 = -2*k + 6*h - 4*h. Suppose 0*g - 3*v = -4*g + 113, -k*g + 63 = 5*v. Which is smaller: 30 or g? g Let c = -1/35 - 57/455. Let w = -35 - -34. Which is smaller: w or c? w Let s(z) = z - 2 - 46 + 165 - 33 - 30. Let x be (3 + -1)*14/1. Let j be s(x). Is j > 81? True Let i = -0.07 + 0.32. Let m = 9.678 + -7.53. Let z = -0.148 + m. Which is smaller: i or z? i Suppose -3*l = -3*s + 18, 0 = 5*s + 4*l + 21 - 6. Let t be (-32)/32*(2 - s). Let m = -790/81 - -88/9. Is t greater than or equal to m? False Let u be -31*1/1*-1. Let k = -47 + 165. Suppose l + 64 = 2*i, -4*l + l + k = 4*i. Do u and i have the same value? True Suppose 2*h + 4*n = 234, -h - h + 5*n = -207. Suppose -129 = 5*v + h. Which is greater: -47 or v? -47 Let x = -0.09 - -0.19. Let v = 303.7 + 21.3. Let p = -295 + v. Are p and x non-equal? True Let h = 4911 - 4910.8664. Which is smaller: h or -2? -2 Let q = -11.86 + 12. Let y = q - 0.175. Let z = 26988.9 + -26989. Which is greater: y or z? y Let p(s) be the second derivative of -s**5/20 + 29*s**4/12 - 55*s**3/6 - 7*s**2/2 + 357*s. Let a be p(27). Suppose 0 = 3*g - 22 + 121. Is a greater than g? False Let s = -75 - -77. Suppose 0 = 2*b - 5 + 1, -s*i + 12 = 2*b. Suppose j - i = 0, 6*z + 5*j - 30 = z. Are -1 and z equal? False Let c = -4247833/111010 - -1301/34. Let p = c - -7048/845635. Are p and 1 unequal? True Let d be (-100)/16*2/(-6). Let i(m) = 711*m - 2842. Let u be i(4). Which is greater: u or d? d Let u = 12.38 - 0.38. Let d = -28 + u. Let m be ((-4)/10)/((42/(-15))/2). Which is bigger: m or d? m Suppose 217 = 5*u - 168. Let m = u - 245. Let t = -500/3 - m. Are 4 and t nonequal? True Let u = -0.03775 + -10.96225. Is u not equal to -134? True Let l(o) = 5*o**2 + 8*o - 229. Let v be l(6). Is v not equal to 1/48617? True Let o(u) be the first derivative of u**2/2 - u + 18. Let d(h) = h**2 + h - 6. Let a(x) = d(x) - 6*o(x). Let r be a(5). Which is bigger: r or 1/8? 1/8 Let g(p) = 278*p + 774. Let d be g(-1). Which is greater: d or 488? d Let x = -1720 - -1213. Is -509 less than or equal to x? True Let z = 53123/3 - 17706. Is z < 0.471? False Let v = -25405 + 27313. Which is bigger: v or 13360/7? 13360/7 Let a(c) = c**3 + 16*c**2 + 11*c + 30. Let w be a(-15). Let m = 91 - w. Is m at most as big as 4/5? False Suppose -81 = -11*m - 92. Which is smaller: m or 2/13849? m Suppose 1 = 5*m - 3*m - w, -4*m - 5*w - 5 = 0. Which is bigger: m or -3/3595? m Let k = -519.22 + 512. Let a = -66.82 + k. Let r = a - -74. Is -0.2 < r? True Let v(w) = -w - 2. Let m be v(-2). Suppose m*x = -x - 18. Let s be 310*12/(-180) + (-22)/(-6). Are x and s equal? False Suppose 3*b - 280 - 401 = 0. Suppose 0 = -b*n + 226*n - 5. Which is greater: n or -50/9? n Let c be -6 + 2 - 0/3. Let j be (5*(-1)/2)/(c/40). Is j at most 2? False Let c = 657 + -565. Let l = c + -92.76. Which is smaller: l or -2/5? l Let n(i) = -i**2 - 3*i. Let b be n(-3). Let f = 7200 + -7200.01. Which is smaller: f or b? f Let j be (27/72)/((-54)/(-13656)). Which is smaller: 0 or j? 0 Let d = 4600/13 + -38020/117. Which is bigger: d or 30? 30 Let s = -18.4 + 19.2. Suppose 6 = u - 9. Let f be 20/(-50) - (-11)/u. Which is smaller: f or s? f Let p = -48 + 33. Suppose 2*y + 1 = -i, -11*i + 16*i = 5*y + 25. Do i and p have the same value? False Let s(v) = -17*v**2 + 99*v + 41. Let p(y) = -3*y**2 + 20*y + 8. Let a(n) = 33*p(n) - 6*s(n). Let d be a(-22). Which is bigger: d or 20? 20 Let q = 5231/12 + -437. Suppose -56 = -25*u + 90*u + 9. Is q at most as big as u? True Let d(o) = 2*o**2 + 21*o + 37. Let j be d(-5). Let i be j/3 + 5538/104. Is i > 47? True Let m = -241455946/15177 + 47728/3. Which is smaller: m or 0? 0 Suppose 937 = -o + 312. Which is greater: -623 or o? -623 Suppose 160*d + 154 - 1514 = 165*d. Which is smaller: -4 or d? d Let f be (0 - 26)/(-3 - -2). Let d = -2348 - -2349. Let n be (d/12)/(f/16). Is -1 bigger than n? False Let d(g) = -g**2 - 12*g + 46. Let x be d(-15). Let i be (6 + (-4 - 1))/(x - 2). Which is smaller: -4/19 or i? i Let z = 2015 - 2079. Are -2 and z unequal? True Let t(g) = 2*g**2 + 5*g - 33. Suppose 4*l + z + 106 = 7, 27 = -l - z. Let q be (112/l)/((-6)/(-9)). Let w be t(q). Which is smaller: 29 or w? 29 Suppose -4*f + 132866 = -5*j, -3*f - 5*j + 166680 - 67013 = 0. Let i be -4 + (2/2769)/(6/f). Which is bigger: i or 0? 0 Suppose -6 = 272*n - 275*n. Let p be ((-3)/9)/(n + 20/(-12)). Is p greater than or equal to -6/31? False Let i(m) = 2*m**2 - 2*m + 1. Let k be i(1). Suppose k = 4*w - 15. Suppose -w*f - 5*l = 167, -f - 64 = f - 4*l. Are -0.1 and f equal? False Let a(z) = z**2 + 9*z + 19. Let j = 45 + -51. Let l be a(j). Let m be (l - (-14)/(-9))/(3/(-36)). Which is smaller: 6 or m? 6 Let p be ((-4)/(3 - -1))/(31 - (-2412)/(-72)). Suppose 4*w + 3 = w. Let n be 0 + w + (-1)/(-2). Which is greater: n or p? p Let a be -725 + 3 - 133/(-19). Which is bigger: a or -708? -708 Suppose -350 = 3*t + 2*x, -4*x = t - 2*x + 118. Let w = 119 + t. Which is smaller: 19/11 or w? 19/11 Let p be 22 - 3/(15/20). Let b be p/(-6) - (-3 - 1). Let y = -20/7 + 101/28. Which is bigger: y or b? b Let s be 3 - ((-18 - -8) + 9 + 3/39). Suppose w + i + 0 = 3, i = 5*w - 27. Does w = s? False Let i = -641027/165 - -3885. Which is greater: i or 0? 0 Let f = 628 - 621. Let x = -9 - -17. Which is greater: x or f? x Let y = -103778 - -1246996447/12016. Is -1 bigger than y? False Let h be 7/3 + -2 + (-5)/(-3). Suppose -4*a + h*j = -2*a - 10, 20 = 4*j. Let o be ((-12)/a)/(4/40*-1). Is 12 at most o? True Let y(n) = n**3 + n**2 + 2. Suppose 4*r - 3 = -l, 2*r = r + l - 3. Let i be y(r). Let k be (-1 + (5 - i))/2. Which is greater: -6 or k? k Let t be -1 + -1 - (5777 + 6). Let c = t - -2556969/442. Is -1 greater than c? False Let m(i) = i**2 - i + 1. Let d(g) = -g**3 + 5*g**2 - 8*g - 5. Let l(c) = -d(c) - 4*m(c). Let w be l(8). Which is smaller: 38 or w? w Let g(p) = 3*p**2 + 13*p - 3. Let q be g(-5). Suppose -3*s + 1 - 13 = 0, q = 3*t - s. Let a = 2876/21 - 137. Do t and a have different values? True Let a(m) be the second derivative of 1/6*m**4 + 0 + 2/3*m**3 - 28*m + 3*m**2. Let r be a(-3). Is r > -4? True Suppose 0 = -5*b + l - 63, -3*b - 2*l = 6 + 37. Suppose 3*g = -15, -5*t - g = -6*g + 45. Which is smaller: t or b? t Let z = 53431/80151 - -1/26717. Are 577 and z equal? False Let f(h) = -2*h**3 + 3*h**2 + 4*h + 2. Let v be f(5). Let r be (-34)/v - 215872/342. Let l = r + 631. Is l not equal to -1? True Suppose 44*t + 32*t - 7*t = -828. Are 50 and t nonequal? True Let j be (-4)/12 - 48/(-9). Suppose -j*m - 4 = -3*m. Let t be 3 - (-2 - (-15)/m). Which is greater: t or 14? 14 Let q = 14.599 - 14.537. Let j = -2 + 1. Is j at least q? False Let w = 1.76 - 8.63. Let q = w - -6.7. Let l = 1.3 - 0.3. Does q = l? False Let a(z) = 153*z**3 - 5*z**2 - 5*z - 1. Let w be a(-2). Which is smaller: w or -1234? w Suppose -24 = 5*k + f, f + 7 = -2*k - 2*f. Let y = -7 - k. Suppose -2*a = 5*d + 2*a + 5, 3*a + 3 = -3*d. Which is smaller: d or y? y Let h = 1 - 0. Let u = 275 - 274. Let l = u + h. Which is greater: l or 20? 20 Let k be 15/(-40) + 26604/71072. Let o = 35701/244310 + k. Which is bigger: o or 0? o Let j = -36 + 114. Let d be (-435)/j - (-5)/2. Is d at most -3? True Let u be 6/(-4)*(2/6 + (-1295)/(-105)). Does u = -166/9? False Let m = 0.71 + -0.62. Let z = -6886.3 - -6888. Which is bigger: m or z? z Suppose 90*v + 272*v = 10402 + 13128. Is 728/11 != v? True Suppose 0*g - 14*g = 6146. Let u = g + 4827/11. Is u at most -149? False Let m(k) = -k**2 - 11*k - 7. Let g be m(-7). Let t(n) = -g*n**2 + 22*n**2 + 3*n + 22 + 13*n. Let z be t(-13). Is -15 <= z? False Suppose -24*m + 8528 = -8*m. Suppose 9*b - 533 = -m. Let d = 2/431 - 936/15947. Which is bigger: d or b? b Let j be (-2)/(-9) - 624/(-38948)*(-28)/2. Is j < 1? True
Suppose -3*f + 4*f = -16. Let n = f + 19. Suppose p + 3*b + 13 = -n*p, -2*b = p + 2. Let t(d) = d**3 + 3*d**2 - 4*d. Calculate t(p). 0 Let a be -7 - (-25)/5 - 5*-1. Let q(d) = -2*d**2 + 249*d**a - 501*d**3 + 4*d + 253*d**3. Give q(3). 21 Let z(s) = -54 - 56 - 61 + 164 - 5*s. Determine z(3). -22 Let b = 324 + -322. Let z be 14/63*(b - 11). Let a(s) = -s**3 - 2*s**2 - 2*s. Give a(z). 4 Let b be 10*(938/70 + -13). Let n be (-3)/2*8/(-3). Suppose 4*h = b*q - n, -q + 2*q - 2*h = 0. Let t(l) = -l**3 + 2*l**2 - 1. Determine t(q). -1 Let o = 8829 - 8830. Let a(j) be the third derivative of 7*j**4/12 - 2*j**2. Determine a(o). -14 Let u = -11809 + 11820. Let y(a) be the first derivative of -a**2/2 - 3*a - 12. What is y(u)? -14 Let u(o) = -17*o + 12*o - 14 - 2*o**2 + 3*o**2 + 14*o + 31. Give u(-7). 3 Suppose 239*d - 237*d + 4 = 0, -4*d = -5*z + 93. Let u(s) = s**3 - 16*s**2 - 18*s + 14. Calculate u(z). -3 Let b(d) be the third derivative of -d**8/20160 - d**5/60 + 11*d**4/8 + 34*d**2. Let o(f) be the third derivative of b(f). Calculate o(2). -4 Suppose -2*p + 58 = -50. Let t = -52 + p. Suppose 2*q + t = 4*d - 3*d, 3*q = d - 3. Let n(h) = -h**3 - h**2 - h - 6. Determine n(d). -6 Let b(t) = -4 + 2*t + 2*t - 5*t. Let i(s) be the first derivative of -s**2/2 + 3*s + 12. Let j be i(7). Give b(j). 0 Let i(y) = 251 + 249 + 255 - 7*y - 1003 + 249. Suppose -3*q + 8 + 4 = 0. Suppose 20 = -4*k, 0 = 3*x - 4*k + 6*k + q. Determine i(x). -13 Suppose 3*c + 162 = k, -17*k + c = -19*k + 317. Let s = -156 + k. Let q(t) = -t**3 + 2*t**2 + 3*t + 2. Determine q(s). 2 Let s(o) = -9*o**3 + o**2 - o. Let n(h) = 3*h**2 - 59*h - 18. Let b be n(20). Suppose -b*r = -6*r + 4. Give s(r). -9 Let o(x) be the third derivative of -31*x**5/60 + x**4/8 - 2*x**3/3 + 309*x**2. Determine o(1). -32 Let j(a) = a + 90. Let r be j(-38). Let z(i) = 3*i + 51 + 0*i - 7*i - r. Calculate z(3). -13 Let o(t) be the first derivative of t**3/3 + 5*t**2 - 362. Calculate o(-6). -24 Let m(k) = -k**2 + 9*k. Let v(i) = -2*i**3 - 27*i**2 + 85*i + 89. Let p be v(-16). Give m(p). 0 Let m(s) be the first derivative of 3*s**2 - 32 + 37 + 16 - s. Suppose 0 = 3*n + n + 4. Determine m(n). -7 Let j(p) be the third derivative of -11*p**4/24 - 4*p**3 + 1046*p**2. What is j(-3)? 9 Let l(h) = -5*h**3 - 3*h**2 - 3*h + 1. Let k be l(-1). Let i(u) = -4*u - 3*u - 6 + 1 - 2*u + k*u. What is i(-4)? 7 Let y(g) = 5 - 3*g**2 - 6*g + 12*g**2 - 6*g**2 - 2*g**2. Let r = -3550 + 3554. Calculate y(r). -3 Let r = -2 - -12. Let f(h) = h - 3. Let p be f(6). Suppose -4*b + r = -0*b - p*m, 5*b - 3 = -m. Let x(u) = -2*u**3 + u**2 - 2*u + 1. What is x(b)? -2 Let k = -671 - -655. Let m(l) = -4*l - 50. Give m(k). 14 Let u(p) = 2*p**2 + 5*p - 7. Let j be -1*12/(-8)*2. Let g(z) = j*z - 9*z + 4*z - 25. Let q be g(-10). Give u(q). 18 Let r(v) = -4*v**3 + v**2 + v - 10. Let w(k) = -3*k**3 + k - 7. Let b(j) = 5*r(j) - 7*w(j). Suppose -2*x + 6*x = 3*q + 28, -2*x = -8. Determine b(q). 23 Let u = 4148 + -4151. Let a(s) = -8*s - 4. Give a(u). 20 Let l(s) = s**2 + 4*s - 84. Let v be l(0). Let i = v + 81. Let q(o) = -12*o**3 + 2*o - 1. Let f(d) = -d. Let c(w) = i*f(w) - q(w). Determine c(-1). -12 Let f(r) = -75*r**2 - r + 1. Let o(m) = 2*m**2 - 30*m - 67. Let b be o(17). What is f(b)? -75 Suppose 64*p + 6 = 67*p. Let i(j) = 13*j**p + j**2 - 2*j - 1 - 30*j**2. Let o(a) = 2*a**3 + 2*a**2 + a. Let d be o(-1). Determine i(d). -15 Let x = 55 + -55. Suppose x*g + 2*g = 6. Let n(u) = 8*u + g*u**3 - 4*u**3 - 3*u**3 - 5*u**2 + 3*u**3 + 6. Determine n(-6). -6 Suppose 4*c + 4*r - 40 = 0, 11*c - 5*r + 30 = 12*c. Let x(a) = a**3 - 7*a**2 - 8*a + 1. Let y(s) = -s**2 + s + 2. Let u(l) = c*y(l) + x(l). Give u(12). -25 Let y(l) = 0*l**3 + 1 - 3*l**3 + 7*l + 239*l**2 - 5*l - 99*l**2 - 142*l**2. What is y(2)? -27 Let o be 8 - (-2 + -1 + 4). Let i(f) = -4*f**2 + 0 - 5*f + 8*f + 4. Let n(d) = -7*d**2 + 7*d + 7. Let r(k) = -5*i(k) + 3*n(k). What is r(o)? -6 Let k(p) = -34*p**2 + 747*p + 19. Let b(s) = -2*s**3 - 207*s**2 - 505*s + 22. Let v be b(-101). Determine k(v). -3 Let v(o) = -4*o**2 - 5*o**2 - 41*o - 8 + 93 - 50 - 228*o. Determine v(-30). 5 Suppose 3*g - 3 = -21. Let i be (-116)/g - (-2)/3. Let p(n) = n + 2*n + 10 - 5*n - i. Give p(-7). 4 Let o(g) = -2 - 6*g + 60*g - 50*g. Suppose 4*h = -24 + 8. Let t = -1 - h. Give o(t). 10 Suppose 14 = 19*h + 86 + 42. Let t(u) = -10*u - 38. What is t(h)? 22 Let w = -11 - -14. Suppose -x + 20 = w*x. Let j(u) be the third derivative of -u**4/24 - u**3/3 - 6*u**2 + 3*u. Calculate j(x). -7 Let a be (2/(-4))/(156/(-24) + 6). Let h(q) = -89*q + 44*q + a + 46*q. Calculate h(7). 8 Let m(c) be the third derivative of -c + 0 + 26*c**2 + 1/6*c**4 - 5/6*c**3. Give m(5). 15 Let z(s) be the third derivative of -s**8/5040 - s**7/5040 + 29*s**5/30 - 2*s**2 + 61*s. Let r(q) be the third derivative of z(q). Determine r(-1). -3 Suppose -21 = -2*y - 5*i, 5*y + i - 41 = -0. Let u be (y/(-6))/((-1)/(-3)). Let w(z) = 953 + 0*z + z**2 + 961 - 2879 + 3*z + 964. Calculate w(u). 3 Let v(a) = -a + 13. Let i be 20/6*(192/(-40) + 6). Suppose -i*g + 47 = r, -13*g + 16 = -11*g - 2*r. Determine v(g). 2 Let o be 2/(2/((-2)/(-2)) - 0). Let z(g) be the third derivative of -1/6*g**3 + 0*g + 1/3*g**4 + 0 + 4*g**2. What is z(o)? 7 Let h(m) = -12*m**2 - 2 - 31*m**3 + 56*m**3 - 10*m - 24*m**3 + 16 + 6*m**2. What is h(8)? 62 Let u(d) = 18*d**3 + 3*d**2 + d - 1. Let w(j) = -21*j**3 - 3*j**2 - j + 1. Let q(o) = 8*u(o) + 7*w(o). Determine q(-1). 4 Let k(b) = -5*b - 3 + 4*b + 10*b. Suppose -94*s + 22 = -76*s - 14. Give k(s). 15 Let p(n) = -8*n**3 - n**2 - n - 1. Let j be (9*(-3)/36)/(6/(-32)). Suppose -j*k = -4*a + 20, -5*k = -0*a + a + 1. Determine p(k). 7 Let n(h) = 312*h + 16218. Let j be n(-52). Let s = 3 + -2. Let g(l) = -5 + l**2 + 8*l + s + 3. Give g(j). -13 Let v(b) be the second derivative of -b**5/20 + b**4/2 - b**3/3 - 3*b**2/2 + 1769*b. Give v(3). 18 Suppose -11*z = -9*z. Let n(b) = 1. Let q(g) = -2*g - 12. Let m(o) = -4*n(o) - q(o). Determine m(z). 8 Let z(c) = -c**3 - 9*c**2 - 18*c - 24. Let w = 21558 + -21565. Determine z(w). 4 Let l be 6/27 - (-584)/(-36). Let f be 12/l - 124/(-16). Let u(p) = -6 + 4*p - 6*p**2 - 6*p**3 + 0 + f*p**3. Determine u(5). -11 Let u(z) = -5*z**2 - 7*z + 1. Let t(w) = -8*w**2 - 10*w + 1. Let i(x) = 5*t(x) - 7*u(x). Let c(s) = s**2 + 2*s - 1. Let a(o) = 4*c(o) + i(o). Give a(5). 4 Let f be 12*(-8)/(-14)*(-70)/780*-13. Let i(n) = n**3 - 7*n**2 - 9*n - 16. Give i(f). -24 Let d(y) be the first derivative of -y**3/3 + 9*y**2/2 - 4*y - 1334. Give d(9). -4 Let y(q) be the first derivative of 1 - 1/3*q**3 - 7/2*q**2 - 2*q. Let a(b) = -2*b**2 - 10*b - 14. Let x be a(-4). Determine y(x). 4 Let g(q) = 2 + 3*q - 3*q + 2*q + 4*q. Let i(x) = -x. Let t(m) = -2*g(m) - 18*i(m). Let p = 1440 - 1436. Determine t(p). 20 Suppose 10*u = 12*u - 125 + 125. Let j(h) be the third derivative of 1/6*h**4 + u + 26*h**2 - 1/6*h**3 + 0*h. Calculate j(5). 19 Let v(q) = -q**3 - 16*q**2 + 17*q - 10. Let p be v(-17). Let r(z) = 11*z + 101. Let o be r(p). Let t(f) = -f**2 - 13*f. Give t(o). 36 Let t(p) = -3*p - 3*p + 3*p + p + 4. Suppose -3*m + 16 = 2*b, -3*m - b = -2*b - 19. What is t(m)? -8 Let m(l) = -l**3 + 3*l**2 - 4*l + 4. Let g = -2691 - -2693. What is m(g)? 0 Suppose -6*s = -12*s + 36. Suppose -3*r + q = 6, 0 = 3*r - q + 4*q - s. Let n(f) = -11*f + 1. Calculate n(r). 12 Suppose 3*m - 6 = -0. Let y be -3*(-3)/27*6. Suppose 5*t = -m*p - 11, 2*t + 10 + 0 = y*p. Let u(w) = -w**2 - 2*w + 1. Calculate u(t). -2 Let t(y) = -y - 6. Let v be t(-6). Suppose v = k + 4*f - 0*f + 15, 0 = -5*k - 3*f + 10. Let q(z) = -4*z + k*z + 2*z**2 + 0*z - 4*z**2. What is q(2)? -6 Let y(p) be the third derivative of 26 - 1/8*p**4 + 1/6*p**3 + 1/30*p**5 - 2*p**2 + 0*p. Calculate y(3). 10 Let k = 293 + -277. Suppose -4 = -2*l - 3*h, 18 = 5*l - 2*h - 11. Suppose -l*j = -k + 46. Let r(f) = -f**3 - 6*f**2. Determine r(j). 0 Suppose 0 = 15*f - 157953 + 157818. Let l(z) be the first derivative of -z**4/4 + 3*z**3 - 4*z + 1. What is l(f)? -4 Let i(y) = y + 1. Let m(n) = -5*n - 8. Let s(g) = 4*i(g) + m(g). Let c be (9888/8652)/(4/14). Give s(c). -8 Let o(w) = 12*w + 9. Let n(g) = -23*g - 16. Let a(p) = 4*n(p) + 7*o(p). Suppose 33*b - 23 = 10*b. Determine a(b). -9 Suppose -5*g + 81 = -3*z, z + 46*g = 54*g - 84. Let l(s) = s**3 + 12*s**2 + 2*s + 19. What is l(z)? -5 Let o(y) = y**2 + y - 2. Let p be o(2). Let q = -4629 + 4634. Suppose p*u = 3*h - q, -4*h - u + 4 = -5*u. Let r(s) = -6*s**2 - s - 1. Calculate r(h). -6
Simplify ((g*g/g**(-1/3)*g*g)**(-4))**(-24) assuming g is positive. g**416 Simplify (k**4*k/k**(-1/8))/((k*k**(-7)*k*k*k)/(k/k**2*k)) assuming k is positive. k**(65/8) Simplify (y**(5/14)/y)/y**18 assuming y is positive. y**(-261/14) Simplify ((i/i**(1/3))/(i**(-2)*i))**(1/5) assuming i is positive. i**(1/3) Simplify (h**(1/16))**(-16) assuming h is positive. 1/h Simplify ((p*p*p**(1/11)*p*p)**(12/13))**(-13) assuming p is positive. p**(-540/11) Simplify (b/b**7)/(b/(b*b/((b*b/(b/b**(-5/4)))/b))*b) assuming b is positive. b**(-19/4) Simplify (n/(n*n/(n*n*(n/(n*n**1))/n)))**(-49)*(n*n**(2/5)/n)/((n/((n/(n*n/(n*n**(-4)/n*n)*n))/n))/n) assuming n is positive. n**(217/5) Simplify ((k*k**(-2/63)*k)/k)/k*(k**(-16)/k)/k assuming k is positive. k**(-1136/63) Simplify (v**(-2/7)/v)**(19/4)*v/v**5*v**(-4/3) assuming v is positive. v**(-961/84) Simplify y**15/y*y*y*(y*y**(15/2))/y assuming y is positive. y**(47/2) Simplify (n*n**1/n*n)**(-2/3)/((n*n**(-1/5))/n**(2/13)) assuming n is positive. n**(-386/195) Simplify (u/(u*u**(4/3)/u))/(u*u**0)*(u/u**0)**13 assuming u is positive. u**(35/3) Simplify ((s*(s/(((s**(-3)/s)/s)/s)*s)/s)/s)/s**(-21) assuming s is positive. s**28 Simplify (l**(2/7)/(l*l*(l/(l/(l/(l/l**5)*l)))/l*l))/(l**0/(l/(l*l**1))) assuming l is positive. l**(-61/7) Simplify x**(-5/2)/(x*x**(-40)) assuming x is positive. x**(73/2) Simplify ((v/((v*((((v/(v*(v*v**(-4/7))/v))/v)/v)/v)/v)/v)*v)/((v/(v/v**(2/5)))/v))/(v/v**(-2/7))**(1/90) assuming v is positive. v**(421/70) Simplify ((g**(-1))**(30/11))**(3/10) assuming g is positive. g**(-9/11) Simplify (n**(1/9)/n**2)**40 assuming n is positive. n**(-680/9) Simplify (s/((s*(s**(-2)*s)/s)/s)*s*s*s/(s**(-1/10)*s))/((s/s**(-2/15))/s**(-7)) assuming s is positive. s**(-91/30) Simplify (q/((q**(-6)/q)/q)*q)**28 assuming q is positive. q**280 Simplify ((b**(2/3))**(-40))**1 assuming b is positive. b**(-80/3) Simplify ((u/(u*u/(u**7/u)*u))/u**(1/6))**(-12) assuming u is positive. u**(-46) Simplify (s**8/(s/((s*s*s**(-2/7))/s)))**(-47) assuming s is positive. s**(-2538/7) Simplify l**(3/8)*l**5 assuming l is positive. l**(43/8) Simplify (z**(-1/5)/z**6)/(((z/(z*z/(z*z/(z*z**3*z)*z)*z))/z)/(z**8/z)) assuming z is positive. z**(29/5) Simplify ((j**(-1/2))**11)**47 assuming j is positive. j**(-517/2) Simplify (c/(c*c**(-5/2))*c**(2/5))/(c*c**(-5/3)/c*c*c**(2/7)/c) assuming c is positive. c**(899/210) Simplify (o**1/o)**(-9/8)/(o**1)**(2/75) assuming o is positive. o**(-2/75) Simplify (l/l**(16/7))**(1/13) assuming l is positive. l**(-9/91) Simplify d**(-7)/(d*d*d*d**6*d)*d**(-5)/(d*(d**1/d*d)/d) assuming d is positive. d**(-23) Simplify c**(-2/9)*c/c**6 assuming c is positive. c**(-47/9) Simplify (d*d/(d*d*d/d**(-11)))/d*d**6*d assuming d is positive. d**(-6) Simplify g**6/(g*g**0)*g**0*(g*g/(g/((g*g*(g/g**(-5)*g)/g)/g)))/g assuming g is positive. g**12 Simplify (z**(-2/5)*z**2)**41 assuming z is positive. z**(328/5) Simplify (w*w/(w/(w*w**(2/17)*w)))/(w**(-19)*w) assuming w is positive. w**(359/17) Simplify (o**2/o**(-1/3))**(-29) assuming o is positive. o**(-203/3) Simplify (m/(m*(m*m**2)/m))/(m*m**(1/3))*(((m*m**6/m)/m)/m)/m*m**9 assuming m is positive. m**(26/3) Simplify (z**(2/5))**15*(z*z*z**0*z)/((z*((z/z**(-1/4))/z)/z*z)/z) assuming z is positive. z**(35/4) Simplify ((x**(1/3)*x*x)/((x**6/x)/x))/(x**4/x*x**(1/7)) assuming x is positive. x**(-101/21) Simplify ((l**(-1))**(-2/119))**(31/2) assuming l is positive. l**(31/119) Simplify ((b*b**(-2/7)*b)/(b*b**1*b))**(-14) assuming b is positive. b**18 Simplify b**(-32)/(b*b**(10/11)) assuming b is positive. b**(-373/11) Simplify ((t/(t**(-22)*t))/t)**(-6/13) assuming t is positive. t**(-126/13) Simplify d/(d**(-3)*d)*d**(-2/31)*d**(1/16)*((d*d**(-8)/d*d*d)/d)/d assuming d is positive. d**(-2481/496) Simplify (i/i**(-9))/i**(-19) assuming i is positive. i**29 Simplify t*t**21*t**(-2/63) assuming t is positive. t**(1384/63) Simplify (s*s*s**9)**(8/15) assuming s is positive. s**(88/15) Simplify (y*y**0*y)**(-3/8)/((y**(-4)*y)/y**(-2)) assuming y is positive. y**(1/4) Simplify (v**(-2/7)*v)**(-4/5)/((v/v**(1/7))/(v*v/v**(-2/15))) assuming v is positive. v**(74/105) Simplify (f**1/f)**12/(f*f**(-2/3)*f*f*f**(2/5)) assuming f is positive. f**(-41/15) Simplify (c**(-8)*c**(2/25)*c)**16 assuming c is positive. c**(-2768/25) Simplify (y/(y**6*y*y)*y*y**(2/21))**(-2/9) assuming y is positive. y**(248/189) Simplify (c*(((c**(-16)*c)/c)/c)/c*c)**(-1/15) assuming c is positive. c**(16/15) Simplify ((s**20*s*s)/s*s)/((s/(s*s**(1/14)))/s) assuming s is positive. s**(323/14) Simplify ((f**(-2/7))**(-6))**39 assuming f is positive. f**(468/7) Simplify ((z/(z*z*(z**(-1/5)/z)/z*z*z*z))/(z*z**6*z))/((z*(z**(-4)/z)/z)/z*z/z**(-2/17)) assuming z is positive. z**(-418/85) Simplify (s/s**(-5)*s)/(s**(2/3)*s)*s**(-2/11)/(s/s**(1/6)) assuming s is positive. s**(95/22) Simplify w*w**4*(w**6/w)/w assuming w is positive. w**9 Simplify ((n*n/n**(5/6)*n*n*n)/(n/((n/n**(-2/5)*n)/n*n)))**(-32) assuming n is positive. n**(-2672/15) Simplify (f**(2/35)/f)**(-6) assuming f is positive. f**(198/35) Simplify (j/j**(-9/7)*j*j)/(j/(j**3/j*j)) assuming j is positive. j**(44/7) Simplify (s**(2/15)*s**(-5))/(s**(-3)*s/s**(-1/5)) assuming s is positive. s**(-46/15) Simplify (q**(-10)*q)**21 assuming q is positive. q**(-189) Simplify d/(d*d**(-3))*d**(-2/27)*((d/d**(1/3))/d)/((d**8/d)/d*d) assuming d is positive. d**(-119/27) Simplify (d**(-1/4))**(-8/7)/((d*d*d**(-1)*d)/d)**(13/5) assuming d is positive. d**(-81/35) Simplify (b**(-3/7)/b)/(b/(b*b**(7/2)*b)*b) assuming b is positive. b**(29/14) Simplify c**1/((c*c**30*c)/c) assuming c is positive. c**(-30) Simplify (t**8)**(-28) assuming t is positive. t**(-224) Simplify (j*j**(1/5)/j*j**(-3)*j)**(44/5) assuming j is positive. j**(-396/25) Simplify ((w/(w**(-5/2)/w))**(4/5))**(-4/9) assuming w is positive. w**(-8/5) Simplify (k**(-5)*k**(-1))**(3/2) assuming k is positive. k**(-9) Simplify (j**(-1/2)/j)/j**3 assuming j is positive. j**(-9/2) Simplify (v**12)**(2/7) assuming v is positive. v**(24/7) Simplify o**7/(o*o/(o*o**(2/111))*o) assuming o is positive. o**(557/111) Simplify (p**(-13)*p)**(3/10) assuming p is positive. p**(-18/5) Simplify (i/i**(-7))**(-20/7) assuming i is positive. i**(-160/7) Simplify (w**(1/3)*w)**(-10)/(w*w**(2/3))**(-2/9) assuming w is positive. w**(-350/27) Simplify (v*v**7/v)**(2/19) assuming v is positive. v**(14/19) Simplify (s/((s**(1/2)*s)/s))**(-2/9)*(s*s**6)/s**7 assuming s is positive. s**(-1/9) Simplify ((p/(p*p/p**(-22)))/p)/(((p**(-3/7)*p)/p*p*p)/p) assuming p is positive. p**(-172/7) Simplify (m**(1/2))**3 assuming m is positive. m**(3/2) Simplify m**(-1/6)*m*m*m**(-1)/m*m assuming m is positive. m**(5/6) Simplify (s**(-5/7))**12 assuming s is positive. s**(-60/7) Simplify (r**(-3)/r*r*r/(r*r**(1/12)/r))/((r**(-2)/r)/r*r*r/(r**(7/3)/r)) assuming r is positive. r**(5/4) Simplify i*(i**(6/13)/i)/i*i*i/((i*(i*i**(-11))/i)/i*i*i) assuming i is positive. i**(136/13) Simplify (q*q*q*q**0)**6*q*q*q*q**(3/8)*q*q/(q**(-4)/q)*q assuming q is positive. q**(235/8) Simplify (g**(-3/10)*g)/(g*g**(-3/7)) assuming g is positive. g**(9/70) Simplify ((i**(12/11)*i)/i)/(i/(i/i**(4/3))) assuming i is positive. i**(-8/33) Simplify o**23*(o/(o*o*o**(-2/3)))/o assuming o is positive. o**(65/3) Simplify ((g**4)**(-36))**33 assuming g is positive. g**(-4752) Simplify (o/(o**(1/10)/o)*o*o*o**(-1/7)*o)**(-5/3) assuming o is positive. o**(-111/14) Simplify ((g*g*g/(g*g/g**(-6/23)*g))/g)/g*g/(g/(g*g/g**(4/17)*g)) assuming g is positive. g**(197/391) Simplify (t**(2/5))**32/(t/(t/(t**(-2/7)*t)))**(-3/10) assuming t is positive. t**(911/70) Simplify w**3*w**(-13/5) assuming w is positive. w**(2/5) Simplify (t**(-2/3)*((t/(t**(2/9)/t))/t)/t)**(-18/5) assuming t is positive. t**(16/5) Simplify (s**(2/5)/(s*s**4))/(s*s**(3/8)*s*s**(-1/6)/s) assuming s is positive. s**(-697/120) Simplify (a/(a/(a/(a/(a*a/(a/a**(-1/2))*a))*a*a)*a))/a*a**(-2/5)*(a*a**(-1/4)/a*a*a)/a**(-2) assuming a is positive. a**(97/20) Simplify ((y*(y**(-6)/y)/y)/(y/y**(-2/15)))**(-19) assuming y is positive. y**(2318/15) Simplify (k**14/k)/k**(-6) assuming k is positive. k**19 Simplify (g**4*g**(2/5))/((g*g**1)/(g*g**6*g)) assuming g is positive. g**(52/5) Simplify ((y**(-1))**(-33))**(10/7) assuming y is positive. y**(330/7) Simplify (w**(1/4))**(-33)/(w*w**(1/4))**(-23/4) assuming w is positive. w**(-17/16) Simplify (o**(2/7))**(2/5)*(o*o*o**2)/(o**(-2/15)*o) assuming o is positive. o**(341/105)
Suppose 0 = -l - 4*l + 20. Let h be 6/(-30) - (-2)/10. Solve -g - g - l = h for g. -2 Suppose -5*o + 16 - 6 = 0. Solve -o*a = 12 - 2 for a. -5 Suppose 2*g = g + 20. Suppose 4*u + 4*p = g, -4*u + 7*p + 47 = 2*p. Solve 0*q + u = 2*q for q. 4 Suppose -4*i + 24 = 4*w, -4*i + 8 = -0. Let n = w + 0. Solve 2*t + 6 + n = 0 for t. -5 Suppose 4*t = 2*m + 22 - 6, -4*t + 5*m = -16. Let d be t + -3 - 9/(-3). Solve -3 = -d*l - 19 for l. -4 Let v = 22 - 18. Suppose v*d + 4 = 20. Solve d = 3*m - m for m. 2 Suppose -3*r = -7*r - 2*r. Let z = 3 + -2. Solve r = -y - 0 - z for y. -1 Let i = -251 + 252. Let p be (-2)/(1 - 2) + -2. Solve -3*s + 2 + i = p for s. 1 Let m(w) = 2*w**2 + 5*w. Let k be m(-4). Suppose -g = -4*g + k. Solve g*d - 3*d - 4 = 0 for d. 4 Suppose -40 = 5*v - 3*v. Let c = 21 + v. Solve -4*j - c = -5 for j. 1 Suppose 3*r - 2 - 4 = 0. Let f = r + 0. Solve s - 12 = -f*s for s. 4 Let c = -6 + 11. Let y = 7 - c. Solve 0 = -y*r - 2*r + 8 for r. 2 Let s(u) = u**3 + 11*u**2 + 11*u + 15. Let a be s(-10). Suppose -5*x - 20 = -4*b - 0*x, 5*b + a*x - 25 = 0. Solve 0*l + b*l = 0 for l. 0 Suppose -u + 0*u + 4*p = 6, -p + 18 = -3*u. Suppose -38 - 12 = -j. Let g be u/(-9) - j/(-6). Solve 4*q - q = g for q. 3 Suppose -4 = -2*p - 5*t, -5*t = 12 + 8. Solve -5*u + p = -8 for u. 4 Suppose 3*r = 5*r - 8. Solve 7 = -r*f + 3 for f. -1 Suppose 63*s + 28 = 67*s. Solve 0 = 4*r - 5 - s for r. 3 Let g = -3 + 5. Let w = 0 + g. Let i(c) = -c**3 + 14*c**2 - 13*c + 16. Let l be i(13). Solve 2*p + l = -w*p for p. -4 Suppose -5*r + 4*g + 23 = 3, 20 = -4*g. Let x(q) = 22*q**2 - q. Let w be x(1). Let z = w - 9. Solve -3*d + z = -r*d for d. 4 Let g be 4/10 - (-39)/15. Let k = 5 + -1. Solve f + g*f - k = 0 for f. 1 Let q(m) = -m**2 - 5*m + 2. Let s be 4/(-8)*1*10. Let v be q(s). Solve -c + v*c - 2 = 0 for c. 2 Let u(o) = o**3 - 4*o**2 - 5*o - 7. Let h be u(5). Let n = 11 + h. Solve 0*j + 16 = -n*j for j. -4 Let p(d) = d**3 + 6*d**2 + 2*d + 8. Let b be p(-6). Let w be b/10 + (-81)/(-15). Suppose 2*n - 32 = -5*v, 3*n = 5*v - 37 - 15. Solve 0 = -w*g - v - 2 for g. -2 Let f(d) = d - 5. Let q be f(5). Suppose 0 = -4*i - q*i. Solve a + 4*a + 15 = i for a. -3 Let g be ((-3)/(-9))/((-2)/(-6)). Let c = 1 + g. Suppose -2*d = -c - 4. Solve 8 + 1 = -d*s for s. -3 Suppose 6 = -0*c + 3*c. Solve -2*v = c*v - 16 for v. 4 Let f(r) = r**3 - 2*r**2 - 12*r. Let p be f(5). Solve 5*l = -0*l - p for l. -3 Let u = 0 - 0. Let c(m) = m**3 + 3*m**2 + 2. Let w be c(-3). Suppose -2*a + w = -0*a. Solve u = -d - a - 0 for d. -1 Let b be (-8)/20 - (-38)/(-5). Let g be ((-6)/b)/(3/12). Solve -1 = -g*h + 2 for h. 1 Suppose 0*a + 3*a - 27 = -3*v, -5*a + 15 = 0. Let p = v + -4. Solve 0 - p = -t for t. 2 Let o(x) = -x**2 + x + 1. Let n be o(2). Let u = 0 - n. Let a be (u + (-4)/3)*0. Solve a*g - 15 = -3*g for g. 5 Suppose 4*z + 21 = 3*d, 4*d + z - 16 = 12. Solve 4 = d*n - 6*n for n. 4 Suppose 97 = 4*h + t, -h = 2*h + 4*t - 89. Solve h + 2 = -5*a for a. -5 Let r be (-4)/18 + 11/9. Let g(w) be the third derivative of w**5/60 - w**4/12 + w**3/6 - 2*w**2. Let t be g(r). Solve t = s - 0*s - 3 for s. 3 Let f be 6 + 10/5 + 0. Solve 2*j = -2*j + f for j. 2 Let q(h) = -h**3 - 5*h**2 - 2*h - 4. Let t be q(-5). Let w(a) = -a - 1. Let y be w(-5). Suppose 0 = 5*l - y*d + 2, -d = -t*d + 15. Solve 0 = -l*g + 8 for g. 4 Let k be -10*5/20*-10. Solve 0 = -v + 6*v + k for v. -5 Let t(u) = u**2 - 4*u + 4. Let i be t(7). Let z be 156/10 - (-10)/i. Solve -5*c + z = -c for c. 4 Let z be (2 - 0) + -3 + 5. Solve -12 - 8 = z*r for r. -5 Let i(s) = s - 4. Let b be i(6). Suppose -12 = -b*r - r. Solve 0 = -r*x + x for x. 0 Let a = -60 - -63. Solve -a*x = x - 12 for x. 3 Suppose r = -0*r - 1. Let x(o) = -9*o - 1. Let h be x(r). Solve h = -2*v - 2*v for v. -2 Let c(r) = r**2 + 2*r + 1. Let v be c(-3). Let w be (-2)/v - (-35)/10. Solve 2*s = s - w for s. -3 Suppose 0*x - 2*x + 20 = 0. Let h = 85 - 40. Let y be x/h + 4/(-18). Solve y = -l + 3*l - 2 for l. 1 Suppose 14 = 5*s - r, -s + 0 = 3*r + 10. Solve 2*d + 4 = -s*d for d. -1 Suppose -3*k = 2*k - 20. Suppose -v + 3 - 68 = 5*p, -k*p - 12 = 0. Let b be ((-16)/20)/(2/v). Solve 2*i - b = 6*i for i. -5 Let n(l) = -l - 3. Let r be n(-6). Let g(z) = 4*z - 4 - r*z - 3*z. Let v be g(-5). Solve -v = 3*a - a for a. -3 Suppose 2*r + 0*r = 24. Let u be r*((-4)/(-6))/2. Solve -g + u - 2 = 0 for g. 2 Suppose -2*c + c = -2*h + 1, -4*c + 26 = 2*h. Let p = 3 + -15. Let o = 28 + p. Solve -o = -w - h*w for w. 4 Suppose 0 = -3*p + 4*i + 34, -10 - 47 = -4*p + 3*i. Suppose r + 4*j - 24 = 0, 2*r - 2*j + p = 4*r. Solve -r = 4*b - 3*b for b. -4 Let n = 7 - 3. Let f be (-34)/(-8) - 1/n. Suppose 15 = -5*w + 10*w. Solve 0 = w*p - f + 1 for p. 1 Suppose 0 = -11*n - 3 + 36. Solve m = -n*m - 12 for m. -3 Suppose 0*m + 2 = 2*m. Let x be -2*m - (-2 + 0). Solve 10 + x = 2*k for k. 5 Let v(d) = -3*d**2 - 4*d. Let z(g) = 4*g**2 + 4*g - 1. Let y(w) = 3*v(w) + 2*z(w). Let t be y(-3). Suppose i - 3 = -t. Solve k = -i*k for k. 0 Suppose 2*d = -4*s - 2, 4*d - 5*d - 7 = -4*s. Let a be d + 5 - (3 + -4). Solve a*q = q + 8 for q. 4 Suppose -g - p - 2 = -4, -4*g - 2*p = -10. Solve 8*r - g*r = 0 for r. 0 Let r = 9 + -4. Suppose 0 = -r*o - 5 + 20, 0 = 3*z - 3*o - 114. Suppose m = -v - 3*m + z, 4*m = 2*v - 34. Solve 0*s - v = 5*s for s. -5 Suppose -18 = -3*j - 3. Suppose -k - 2*w = -3*k + 10, 3*w = j*k - 23. Solve 20 = -0*z + k*z for z. 5 Suppose 3*p + 4*q = 3*q + 30, 0 = 2*p - 2*q - 12. Let b be 4 - 3*3/p. Solve -2*s = -b*s + 2 for s. 2 Suppose 2 - 10 = -4*m. Let u(p) be the first derivative of p**4/4 - p**3 + p**2 + p + 1. Let x be u(m). Solve -c + x = -3 for c. 4 Let w(b) = b**3 + 3*b**2. Let z be w(-3). Suppose z*c = c - 5. Solve -2*y + 3 = -c*y for y. -1 Let g = -5 - -10. Suppose -4*i + g*k - 17 = -0*i, 2*k - 10 = 0. Suppose i*q = q + 2. Solve 1 = -p - q for p. -3 Let r be 24/4 + (2 - 4). Let z = r + -4. Solve -3*x = -z*x - 3 for x. 1 Let i = -12 - -14. Solve -5 + 1 = i*f for f. -2 Suppose 5*m - 12 = 2*m. Suppose -4*f + 2*f = 10, -m*k - 2*f = -22. Solve -5*o = -k - 2 for o. 2 Suppose -3*t + 4 + 14 = 0. Solve 0*v = 3*v + t for v. -2 Let f be -2*16/4 + 4 - -10. Solve f*z - 8 = 2*z for z. 2 Let k = -8 - -14. Let n = k - 1. Suppose 2*h - l = 9, -4*l = -n*h - l + 22. Solve h*m - 9 = 1 for m. 2 Let p be (-2)/(5/(50/(-4))). Suppose 0 = -3*c + p + 4. Suppose c*x = -0*x + 12. Solve x*n + 2 = -18 for n. -5 Let j = 11 - 9. Let c(s) = s**3 + 5*s**2 - s. Let n be c(-4). Solve j*d = -3*d - n for d. -4 Let t = -24 + 16. Let i = 16 + t. Let h = i - 5. Solve 0 = s + h*s + 4 for s. -1 Let z(n) = -5*n + 3. Let o be z(0). Solve 0 = o*i + 2*i + 15 for i. -3 Let u(y) be the second derivative of -y**4/12 - 3*y**2 - 3*y. Let c be u(0). Let m be (10/6)/((-2)/c). Solve m = 4*i + 13 for i. -2 Let k be (-1 + 12/9)*6. Let z be (2 + -1)/1*-2. Let b be (z + 0 - 13)*-1. Solve -k*a - b = a for a. -5 Let i = 11 + -7. Let n = i + -2. Solve 6*u = n*u + 8 for u. 2 Let m be 4/(-3)*(3 - -3). Let t(u) = 2*u + 11. Let b be t(m). Let p = 5 + b. Solve p = 3*f + 1 - 13 for f. 4 Suppose 0*d - 4*d = -200. Suppose 5*g + d - 150 = 0. Suppose 0*j + j = s, 5*j + 5*s = g. Solve 1 + j = -b for b. -3 Suppose 0 = 4*w - 0*w - 12, w + 2 = b. Suppose -2 = -g + b. Let c = -8 + 27. Solve -g = -3*r - c for r. -4 Suppose 0 = 5*o - 5*i, 3*i = 10*o - 11*o. Solve -2*k + o = -4 for k. 2 Let v = -6 - -3. Let r be (-1 - v)*(0 - -1). Suppose 4*u = -u + 10. Solve -r*w + w = -u for w. 2 Let z(y) = -y**2 + 6*y - 7. Let d be z(3). Suppose 4*m = 16, -c + 5 + 18 = 5*m. Suppose -c*k = d*k - 25. Solve -k*t = -2*t - 15 for t. 5 Suppose 2*n - 12 = -4*a, 2*n - 3 = -a - 0. Let z(g) = g**2 - 7*g + 5. Let h be z(7). Solve n = -5*i - 30 + h for i. -5 Suppose -3*n + 4*s + 46 = 3*s, n - 3*s = 18. Solve n = i + 4*i for i. 3 Let z = -3 - -4. Let x(a) be the first derivative of a**3 + a - 2. Let u be x(z). Solve 2 + 6 = u*t for t. 2 Suppose -5*s + 4 = -3*s. Suppose -3*p = -6*p - s*w - 8, -p - 5*w - 20 = 0. Solve 8 + p = -2*u for u. -4 Suppose -4*s + 26 = 6. Solve -s*w - 4 = -29 for w. 5 Suppose w = -0*w - 5*h + 23, 3*h - 9 = w. Suppose n = 5*n + 3*z, 0 = w*z. Solve -y - 4*y = n for y. 0 Let h = -41 - -70. Suppose h = i - 4*n, -3*i = -n - 50 + 18. Solve 2*z - 5*z + i = 0 for z. 3 Let i = 3 - 1. Solve i*o = -2*o - 20 for o. -5 Suppose 0 = 17*l - 14*l - b - 25, -5*l - 2*b = -27. Solve 8*g - l*g - 1 = 0 for g. 1 Suppose -h + 3*h - 9 = o, 3*o + 19 = 2*h. Solve w + 3 = -h*w for w. -1 Suppose 2*j - 25 = -1. Suppose 5*g = -4*o - 5 + 1, 0 = -5*o - 2*g + j. Suppose w + o*w = 15. Solve -w*s = 2*s for s. 0
Suppose o - 116 + 23 = 0. What is the remainder when o is divided by 12? 9 Let d be (-7 - 0)*(1 + 0). Let j(k) = -k**2 - 10*k - 5. Calculate the remainder when 46 is divided by j(d). 14 Suppose 5 = -6*u + 65. What is the remainder when 14/(6/4 + -1) is divided by u? 8 Suppose 2*y - 3*f - 47 = 0, 0*f - 82 = -4*y + 2*f. Let a be (2/(-3))/((-2)/(-12)). Calculate the remainder when y is divided by 30/a*4/(-3). 9 Calculate the remainder when 44/5 + -2*2/(-20) is divided by 3. 0 Suppose -5*w = -4*w - 56. Suppose -5*r = -20, z - 5*r = 4*z - w. Let h(m) = -5*m + 7. What is the remainder when h(-3) is divided by z? 10 Suppose -t - 72 = -3*t. Calculate the remainder when 106 is divided by t. 34 Suppose 4*n - 2*t = 68, 0 = -0*n - 4*n - 2*t + 68. What is the remainder when n is divided by 10? 7 Let t(p) = p**2 + 5*p + 6. Let n be t(-4). Let o = 0 - -1. Calculate the remainder when (1*-2*n)/(-2) is divided by o. 0 Suppose -7 = 3*i - 2*t, 3*i = 4*t - 0 - 11. Let w be 1/2*(i + 23). Let d = 21 - w. What is the remainder when 18 is divided by d? 8 Suppose 0 = 51*m - 55*m + 84. Calculate the remainder when 80 is divided by m. 17 Let g(f) = f**3 + 6*f**2 + 3. Let y be g(-6). Suppose -2*q = -4*z + y*q + 161, 0 = -2*z - 4*q + 100. What is the remainder when z is divided by 15? 14 Let j be (-104)/(-12) - (-2)/6. Suppose -4*x + j*x - 145 = 0. Let u(s) = -s**2 + 8*s + 10. What is the remainder when x is divided by u(8)? 9 Let q(m) = 2*m - 6. Let a be q(5). Let d be (a/6)/(6/369). Let k = d - 19. What is the remainder when k is divided by 8? 6 Calculate the remainder when 8 - (-3 - 3 - -3) is divided by 6. 5 Let i(b) = -b**2 - 5*b + 7. Let n be i(-7). Let o(w) = -4*w - 4. What is the remainder when o(n) is divided by 2/(-6) + (-40)/(-3)? 11 Suppose 3*k - 3*t - 108 = 0, -5*k = -5*t + 3*t - 195. Calculate the remainder when k is divided by 14. 13 Let u be 50/(-15)*3/2. Let j = u - -1. What is the remainder when 508/18 + j/18 is divided by 15? 13 Suppose u - 10 = -u, x - 28 = -u. What is the remainder when x is divided by 13? 10 Suppose 0*v = d + 2*v - 28, -4*d - 4*v + 92 = 0. Suppose 2*q + 3 + 5 = 0. Let r = d - q. Calculate the remainder when r is divided by 12. 10 Let r = -4 - -9. Calculate the remainder when 8 is divided by r. 3 Suppose -270 - 45 = -9*v. Calculate the remainder when 136 is divided by v. 31 Let s(w) = w**2 + 13*w - 11. What is the remainder when 7 is divided by s(-14)? 1 Let y = 119 - 64. Calculate the remainder when y is divided by 14. 13 Suppose -10 = -2*y - 2. Calculate the remainder when 11 is divided by y. 3 Suppose -5*t = 2*r - 164, 3*t + 0*r = -5*r + 87. Calculate the remainder when 65 is divided by t. 31 Let p = 6 + -5. Let f = -2 + 30. Suppose -3*v = p - f. What is the remainder when 16 is divided by v? 7 Suppose 2*s + 4*p = -8, -11 = -4*s + 3*p + 17. Suppose -2*j - s*f = 0, 14 = -0*j + 4*j + f. Calculate the remainder when 13 is divided by j. 1 Let m = 78 - 40. What is the remainder when m is divided by 7 + -1 + 2 - -2? 8 Suppose 4*i - 2*i = 6. Suppose i*z - 72 - 189 = 0. What is the remainder when z is divided by 22? 21 Let n = 21 - 10. Let k = 26 - 48. Let i = 42 + k. What is the remainder when i is divided by n? 9 Let o(q) = -q**2 - 9*q - 7. Suppose -2 = 3*t - 4*t. Suppose 0*h + t*h - 26 = 0. What is the remainder when h is divided by o(-7)? 6 What is the remainder when (7049/56 - (-2)/16) + 0 is divided by 16? 14 Calculate the remainder when (-6)/4*-13*44/3 is divided by 48. 46 Suppose -3*d + 302 = 5*t, -4*t + 0*d + 246 = -2*d. What is the remainder when t is divided by 17? 10 Let y(b) = b**2 - 6. Let d = -32 - -58. Calculate the remainder when d is divided by y(-4). 6 Let p = 83 - 46. Calculate the remainder when p is divided by 8. 5 Suppose 9*t - 20 = 4*t. Suppose 5*r - k - 12 = 0, t*k = -r - 4*r + 27. Suppose r*i - 88 = -i. Calculate the remainder when i is divided by 12. 10 Let x(q) = -q + 1. Let n be x(-3). Suppose -2*j - 5*p = 0, -n*j = 4*p - 35 + 11. Calculate the remainder when 18 is divided by j. 8 Let b(u) = 5*u + 2. Let q be b(2). Suppose t + q = 3*t. What is the remainder when 9 is divided by t? 3 Suppose -22 = -3*v + g, -4*v - 12 + 50 = 3*g. Let r be -2*1 + (-86)/(-2). Let t = -18 + r. What is the remainder when t is divided by v? 7 Suppose -46 = -k + 2*f, -3*f + 5 = -1. What is the remainder when k is divided by 17? 16 Let p = 21 + -5. What is the remainder when 157 is divided by p? 13 Let r(y) = 5*y**2 - 5*y - 11. Calculate the remainder when r(-3) is divided by 25. 24 Let k = 13 - 3. Let o = -5 + 32. Calculate the remainder when o is divided by k. 7 Suppose 4*z - 5*h = 151, 5*h - 86 = -4*z + 35. Calculate the remainder when z is divided by 5. 4 Suppose 79 = 4*t + c, 3*t + 6*c = 5*c + 59. What is the remainder when t is divided by 13? 7 Let q(d) = -3*d - 3. Let z be q(5). Let v be ((-12)/z)/((-1)/(-3)). Suppose -l - 1 = 2*j - 2, -v*l + 12 = -j. Calculate the remainder when 12 is divided by l. 2 What is the remainder when 140 is divided by (-1 - 38/(-2)) + -5? 10 Let w(f) = -f**2 + 14*f - 4. What is the remainder when w(13) is divided by 4? 1 What is the remainder when 38 is divided by -3 - 0 - -2 - -14? 12 Calculate the remainder when 61 is divided by 352/24 + 4/3. 13 Calculate the remainder when 9 is divided by 49/14*4/7. 1 Suppose -2*p = -i, 4*p + 4 = 2*i + 2*i. Suppose -3 = -i*u - u. Let l(d) = -d**3 - 6*d**2 + 2. What is the remainder when l(-6) is divided by u? 0 Let m = 31 + -16. Calculate the remainder when 30 - (0 - -3) - (1 + 1) is divided by m. 10 Let y = 49 + -13. Calculate the remainder when y is divided by 10. 6 Let q(m) = 3*m**3 + 2*m - 1. Let g be q(1). Let c = g + -2. Suppose -2*o + 4*h = -0*o - 32, c*h = -6. Calculate the remainder when 18 is divided by o. 8 Suppose 3*b - 2*b + 2*i = 18, -5*b - i + 72 = 0. Suppose -6*u = -4*u - 5*l - 67, 2*l = 3*u - 84. What is the remainder when u is divided by b? 12 Suppose 3*p - 3 = 3. Suppose -3*j = p*j. Suppose m = -j*m + 41. What is the remainder when m is divided by 14? 13 Let b = -8 - -12. Suppose -155 = -b*x + 29. Calculate the remainder when x is divided by 16. 14 Let z(p) = 56*p**3 + 2*p**2 - p. Calculate the remainder when z(1) is divided by 15. 12 Suppose 3*q - 45 = -3*d, 3*q - 5*d - 12 - 33 = 0. Let r be -38 + -2*(-2)/(-4). Let l = -10 - r. What is the remainder when l is divided by q? 14 What is the remainder when (1*-1)/(3*(-6)/882) is divided by 4? 1 Let k = 13 + -22. Let u = 51 - k. Suppose -3*i - i = -u. What is the remainder when 44 is divided by i? 14 Suppose 3*n - 68 = -5*l, -l = -4*l + 3. What is the remainder when 39 is divided by n? 18 Calculate the remainder when 46 is divided by (-416)/(-26) - (1 - -3). 10 Let k be 6*2/6*1. Let n(o) = 3*o - 5*o**2 + 0 + 6*o**k + 4. What is the remainder when 14 is divided by n(-3)? 2 Suppose 14*z = 6*z + 16. Calculate the remainder when (1/(-1))/(2/(-4)) is divided by z. 0 Calculate the remainder when 56 is divided by 232/12 + (-1)/3. 18 Suppose 3*a + 0 = 9. Suppose 4*d - 107 = -f, -a*d + 4*f = 2*d - 139. Calculate the remainder when d is divided by 14. 13 Suppose -5*c = -85 - 30. Calculate the remainder when c is divided by 13. 10 Suppose -3*a = 16 + 8. Calculate the remainder when 6 is divided by (3 + (-7)/2)*a. 2 Suppose -2*g = 4*q, g + 3*q = -0*g - 2. Let c(x) = 2*x**2 - 4. Let z be c(g). Suppose 2*m = -0*m + z. Calculate the remainder when 27 is divided by m. 13 Let j be 2*(3 - 2)/(-1). What is the remainder when 408/16 + 1/j is divided by 9? 7 Let s be 3*1 + -47 + 0. Let u = -34 + 53. What is the remainder when u is divided by 2/11 - 432/s? 9 Suppose 2 = -5*n + 12. Suppose -n*v + v + 22 = -4*t, -4*v = t - 156. Calculate the remainder when v is divided by 20. 18 Suppose 3*b - 40 = 2*b. What is the remainder when b is divided by 11? 7 Suppose -o + 38 = r + 3*o, 0 = 2*r - 2*o - 26. Let a = 21 - r. Calculate the remainder when (-4)/(-14) + 52/14 is divided by a. 1 Let m = -128 + 132. Calculate the remainder when 22 is divided by m. 2 Let h(q) = 3*q - 9. Let u be h(7). Calculate the remainder when 78/(-4)*u/(-9) is divided by 14. 12 Calculate the remainder when 30 is divided by ((-48)/10)/(12/(-40)). 14 Suppose 5*m - 160 = -5*m. What is the remainder when 92 is divided by m? 12 Suppose -2 - 5 = -r. Calculate the remainder when r is divided by (-7)/(21/(-36))*9/27. 3 Suppose 2*x + 21 + 3 = 0. What is the remainder when -2 - (1 + x/3) is divided by 1? 0 Suppose t = -2*b + 13, 2*t - 31 = -0*t - 5*b. Calculate the remainder when 11 is divided by t. 2
Convert -809488 (base 10) to base 9. -1463361 -121535 (base 12) to base 8 -1073671 Convert -304515 (base 10) to base 13. -a87b3 Convert -83475 (base 13) to base 4. -321211023 What is -54a066 (base 14) in base 4? -22330300222 Convert -332023333 (base 4) to base 15. -50714 Convert 1130313312 (base 4) to base 16. 5cdf6 222032 (base 4) to base 8 5216 Convert 2b9c9a (base 13) to base 3. 2000210200022 Convert 1110022 (base 8) to base 12. 12506a Convert -263cc (base 13) to base 15. -1606e What is -355d38 (base 14) in base 4? -12330302232 -1100010100 (base 2) to base 14 -404 Convert 42313001 (base 6) to base 8. 4562471 What is -651504 (base 14) in base 11? -1a28623 Convert e3d028 (base 16) to base 7. 240621403 Convert -77076244 (base 8) to base 10. -16546980 -3250405 (base 7) to base 8 -1412657 3300124 (base 6) to base 13 59473 -7910240 (base 10) to base 14 -109ca52 What is 1022101001010002 (base 3) in base 7? 315531614 4ee40 (base 15) to base 12 102480 -2055093 (base 11) to base 2 -1101110100100010101100 62323252 (base 8) to base 6 1151130230 2748540 (base 9) to base 14 2b3b94 Convert -12663a (base 14) to base 6. -21315312 Convert -2a1707 (base 11) to base 7. -4000203 What is 200463 (base 8) in base 12? 3212b Convert -16aabb9 (base 12) to base 9. -8761456 141417 (base 11) to base 12 a81a0 632333 (base 8) to base 9 350227 5553355 (base 6) to base 11 180a39 Convert -33023240 (base 5) to base 2. -1000101000101000001 What is 11302202 (base 5) in base 16? 19403 Convert -18811510 (base 9) to base 7. -143605224 What is 25524453 (base 6) in base 13? 23349c Convert 1022243514 (base 6) to base 11. 6084529 10330033321 (base 4) to base 13 3647a7 154387 (base 14) to base 13 1cc712 What is 29497 (base 13) in base 15? 1804a -132451312 (base 6) to base 15 -3755a2 What is -5865e (base 15) in base 5? -33002224 Convert 127886 (base 9) to base 2. 10011000010110000 What is 410510 (base 8) in base 4? 201011020 -916a93 (base 11) to base 7 -15344423 Convert 5016403 (base 8) to base 11. 820386 Convert 7319 (base 15) to base 14. 8c16 Convert -1001231311 (base 4) to base 15. -54b4d Convert -103111 (base 6) to base 5. -232332 Convert 31591 (base 14) to base 10. 119099 What is 622312 (base 8) in base 5? 23043101 What is -8fbc1c (base 16) in base 7? -143031662 What is 11c8754 (base 15) in base 12? 434748a What is -3ce8cd (base 16) in base 6? -221320205 40310234 (base 5) to base 12 136809 -417476 (base 9) to base 4 -330212331 Convert -3a7b8 (base 14) to base 8. -431536 -1011011001111011110100 (base 2) to base 3 -12121220020210 Convert -17b693 (base 14) to base 8. -3145121 What is -54877 (base 9) in base 2? -1000111001010111 What is d4859 (base 14) in base 2? 1111101000000011111 What is -98242d (base 14) in base 8? -23522411 What is 602e5 (base 15) in base 14? 7cd1d -aa4d02 (base 14) to base 6 -323444222 Convert -109b42 (base 12) to base 2. -1000000111100100010 Convert -1100101010010101 (base 2) to base 9. -78123 Convert -1320212 (base 7) to base 10. -172979 Convert -bd23d (base 15) to base 9. -1115684 30219a (base 11) to base 16 76a9d -2115230 (base 7) to base 15 -50e45 Convert -44223325 (base 8) to base 15. -c7d876 Convert -65705750 (base 8) to base 13. -2c07919 Convert -823353 (base 12) to base 8. -7614057 Convert 100212004 (base 5) to base 7. 3244430 Convert 2747d7 (base 14) to base 5. 321411342 What is -c56391 (base 16) in base 14? -1a0a45b What is -7a607 (base 13) in base 9? -368706 -884aa (base 15) to base 13 -122164 What is -3a4926 (base 11) in base 12? -268084 Convert -8dd5e5 (base 15) to base 16. -676de4 101000011000010010001 (base 2) to base 13 374340 Convert -11431035 (base 6) to base 7. -3034610 1002233220 (base 4) to base 7 2216016 Convert 1302131 (base 4) to base 9. 11038 Convert -16345611 (base 7) to base 14. -2d5db1 Convert -65420 (base 9) to base 8. -124531 What is 3043 (base 14) in base 10? 8291 Convert -536937 (base 10) to base 3. -1000021112120 1284112 (base 9) to base 16 ac20b Convert -143351 (base 7) to base 4. -12233213 What is -26097 (base 13) in base 15? -15d03 What is -1010011010100111101110 (base 2) in base 7? -32131402 Convert -62b1c (base 16) to base 2. -1100010101100011100 Convert -653394 (base 13) to base 5. -1102042112 What is 2011201120 (base 4) in base 6? 15415544 12030431 (base 7) to base 11 66910a What is -112132230230 (base 4) in base 3? -102002101112212 Convert 408400 (base 9) to base 12. b8300 -12c05b (base 15) to base 10 -901211 What is 10311032030 (base 4) in base 8? 4651614 What is 80150 (base 10) in base 6? 1415022 What is 10056256 (base 7) in base 14? 17b42d 3312011231 (base 4) to base 15 14d9db -3509034 (base 10) to base 15 -494aa9 -16625145 (base 8) to base 12 -136bab1 152467 (base 8) to base 6 1100411 What is -36a53a (base 11) in base 6? -20312045 What is 207b78 (base 12) in base 8? 1746714 What is -2543101 (base 8) in base 3? -1022212121100 4757736 (base 8) to base 6 43530022 Convert 3c5904 (base 15) to base 3. 12110120021011 Convert 121202001010 (base 3) to base 5. 41021123 What is -40654 (base 15) in base 9? -340657 Convert -665576 (base 8) to base 6. -4445342 12685633 (base 9) to base 8 27674232 -c75d (base 15) to base 4 -22102303 -92207 (base 13) to base 7 -2140142 11364065 (base 9) to base 11 313a777 What is 333010011 (base 4) in base 16? 3f105 What is -16baa5a (base 12) in base 11? -2738679 What is -64737 (base 11) in base 15? -1cd07 What is -6a7568 (base 13) in base 15? -34e803 What is 21210220222202 (base 3) in base 9? 7726882 What is -a7cc7 (base 14) in base 9? -677704 Convert 1154118 (base 9) to base 13. 18c0c8 What is -110101001111 (base 3) in base 9? -411044 Convert -12207 (base 16) to base 14. -1d0b5 -4aa1873 (base 12) to base 2 -110111110110110110010111 Convert 1b8c572 (base 13) to base 7. 140626300 -8ac41 (base 13) to base 8 -755173 11143232 (base 5) to base 4 120113221 Convert 12b4766 (base 12) to base 7. 43421505 What is -11a06 (base 15) in base 14? -16704 100000000101000001111 (base 2) to base 9 1871815 -4301232 (base 7) to base 3 -222111100010 1244413 (base 7) to base 3 22020211111 Convert 89212 (base 10) to base 2. 10101110001111100 Convert -21402 (base 8) to base 10. -8962 Convert 1001100110001100101 (base 2) to base 15. 63299 Convert -100021001022 (base 3) to base 9. -307038 170820 (base 10) to base 9 280280 What is -165263 (base 9) in base 15? -20489 What is -4540b4 (base 14) in base 7? -26004314 Convert 9a9085 (base 11) to base 7. 16444606 330635 (base 7) to base 13 204b3 Convert -1021331223 (base 4) to base 5. -34143310 -5b07ba (base 13) to base 8 -10222104 Convert -1604ab (base 16) to base 14. -297c27 67d1 (base 16) to base 13 c135 Convert 170654 (base 8) to base 7. 345242 -134654 (base 8) to base 13 -18834 10120002102220 (base 3) to base 15 2755ec 6e8f (base 16) to base 15 85bd What is 440447 (base 10) in base 15? 8a782 Convert 120300023 (base 5) to base 3. 1001021001100 Convert -2c1e83 (base 16) to base 2. -1011000001111010000011 Convert 49486 (base 15) to base 12. b3439 Convert -90788 (base 10) to base 11. -62235 What is -2203133033 (base 4) in base 12? -28363b Convert 1212112210001 (base 3) to base 10. 994924 What is 11cca7 (base 14) in base 10? 611667 What is 223132441 (base 6) in base 12? 1444121 -3052201 (base 12) to base 4 -202211032201 -123152 (base 8) to base 6 -525122 What is -43a37 (base 13) in base 4? -131323023 -51588a (base 11) to base 8 -3120341 Convert -3203144 (base 5) to base 2. -1101000100101101 Convert 3958b4 (base 13) to base 2. 101010001101111110100 What is 12210202210 (base 3) in base 8? 337155 Convert -53616613 (base 7) to base 3. -22121111110101 What is 44999 (base 15) in base 4? 311100321 Convert -352410025 (base 6) to base 13. -148aa9b Convert 7ba27 (base 16) to base 2. 1111011101000100111 Convert 52530201 (base 8) to base 2. 101010101011000010000001 What is 111001110101000000 (base 2) in base 14? 6246c Convert 5310201 (base 12) to base 5. 13004304231 What is 11a549 (base 12) in base 15? 5a350 Convert 1130422203 (base 5) to base 12. a5012a 157473 (base 9) to base 14 27695 What is 10303003 (base 5) in base 2? 10101011101000110 141013302 (base 6) to base 11 1675885 What is -365361 (base 7) in base 5? -4113412 -170387 (base 10) to base 6 -3352455 What is 101212210122 (base 3) in base 7? 1551302 10540255 (base 6) to base 12 13768b -11720633 (base 9) to base 11 -3271657 -126105 (base 14) to base 11 -3a1359 -234415 (base 12) to base 16 -8a851 10301 (base 15) to base 16 c865 -11001000100110100101100 (base 2) to base 8 -31046454 -4666515 (base 8) to base 15 -1a237a 12c48 (base 15) to base 6 1142235 -61711 (base 9) to base 10 -40672 What is -1103021002 (base 4) in base 2? -1010011001001000010
Let j = -3 + 5. Solve 2*m - 6*m**4 + 4*m**4 - 3*m**3 - m**4 + 3*m**j - 3*m**5 - 4*m**4 = 0. -1, 0, 2/3 Suppose -2*t**2 + 3*t**2 - 2*t**2 = 0. What is t? 0 Let f = 93 + -65. Let y = f - 14. Factor 34/3*w**3 - 10/3*w**4 + 22/3*w - y*w**2 - 4/3. -2*(w - 1)**3*(5*w - 2)/3 Let u(n) be the first derivative of n**8/10080 - n**7/2520 + n**6/2160 - 2*n**3/3 - 2. Let b(p) be the third derivative of u(p). Find f such that b(f) = 0. 0, 1 Factor -8*x + 1 - 2*x**2 + 1 - 10. -2*(x + 2)**2 Let y(r) be the first derivative of -r**4/20 - r**3/3 - 7*r**2/10 - 3*r/5 + 6. Factor y(z). -(z + 1)**2*(z + 3)/5 Let s(y) = y**3 + 5*y**2 + 3*y - 1. Let t be s(-4). Factor -x**5 + 2*x**4 - 15*x**t - 2*x**2 + 15*x**3 + x. -x*(x - 1)**3*(x + 1) Let v(a) = 5*a**3 - a**2 - 3*a + 1. Suppose o + 0 = 1. Let i(m) = -m**3 - m**2 + 1. Let l(p) = o*v(p) + 2*i(p). Factor l(c). 3*(c - 1)**2*(c + 1) Suppose 28*a - 113 = -29. Factor -1 - 1/4*o**4 + o + 3/4*o**2 - 1/2*o**a. -(o - 1)**2*(o + 2)**2/4 Suppose -35 = -0*a - 5*a. Let j = a - 7. Suppose 4/3*w**2 - 2/3 - 2/3*w**4 + 0*w + j*w**3 = 0. What is w? -1, 1 Let w(g) = -8*g**5 + 4*g**4 + 8*g**3 - 4*g**2 - 4*g. Let y(q) = -q**5 + q**4 - q**2. Let b(i) = -w(i) + 4*y(i). Let b(r) = 0. What is r? -1, 0, 1 Let 4*x - 16/3 - 2/3*x**2 = 0. Calculate x. 2, 4 Let o = 99 + -95. Factor 1/4*r**3 - 1/4*r + 1/2 + 1/4*r**o - 3/4*r**2. (r - 1)**2*(r + 1)*(r + 2)/4 Let q be (-68)/(-7) + 12/42. Let u be -1 + (36/q - 1). Find r such that -28*r**3 - 138/5*r**2 - u - 56/5*r - 10*r**4 = 0. -1, -2/5 Let s(r) be the third derivative of -r**6/900 - r**5/450 + 12*r**2. Find c such that s(c) = 0. -1, 0 Let o be (1 - 2)/(-4 - -3). Let v(r) = r. Let f(j) = 2*j. Let t(y) = f(y) - 3*v(y). Let p(w) = w**2 + 2*w. Let n(u) = o*p(u) + 2*t(u). What is z in n(z) = 0? 0 Let r(f) be the first derivative of f - 1/72*f**4 - 4 - 1/6*f**3 - 3/4*f**2. Let j(u) be the first derivative of r(u). Factor j(m). -(m + 3)**2/6 Let x(z) be the second derivative of 1/4*z**2 + 0*z**5 + 3*z + 0 + 1/60*z**6 - 1/12*z**4 + 0*z**3. Find c such that x(c) = 0. -1, 1 Suppose f = 27 - 29. Let v = f + 5. Factor -2/7 + 2/7*t**2 - 4/7*t**v + 4/7*t. -2*(t - 1)*(t + 1)*(2*t - 1)/7 Let m = 1069/21 - 354/7. Factor m + 1/6*w**5 + 8/3*w**2 + 3/2*w + 7/3*w**3 + w**4. (w + 1)**4*(w + 2)/6 Suppose -3*q - 1 = -19. Let g(c) be the second derivative of -1/5*c**5 + 0 - 1/5*c**q + c**2 - 3*c + c**3 - 1/21*c**7 + 1/3*c**4. Factor g(n). -2*(n - 1)*(n + 1)**4 Let v(k) be the third derivative of k**6/40 + k**5/4 + k**4/2 - 30*k**2. Determine r so that v(r) = 0. -4, -1, 0 Suppose 0 = r - 7 + 3. Let y(t) = 3*t**2 - 4*t**2 - 3*t + r*t. Let o(k) = -7*k**2 + 3*k. Let x(z) = o(z) - 5*y(z). Factor x(f). -2*f*(f + 1) Let f(r) be the first derivative of -2*r**5/5 - r**4/2 + 2*r**3/3 + r**2 + 1. Factor f(q). -2*q*(q - 1)*(q + 1)**2 Let l(z) be the second derivative of -z**6/180 + z**5/40 - z**4/24 + z**3/36 + 17*z. Factor l(y). -y*(y - 1)**3/6 Suppose 0 = -h - 2*t - 3, -5*h + 1 = -2*h + t. Let v be -2*(h - (-1 - -4)). Factor -3*g**3 - 2*g**2 + v*g**2 + g**3. -2*g**2*(g - 1) Factor 2/11*y**4 + 0 - 2/11*y - 2/11*y**2 + 2/11*y**3. 2*y*(y - 1)*(y + 1)**2/11 Let w(s) be the first derivative of s**6/3 + 2*s**5/5 - 3*s**4/2 - 2*s**3/3 + 2*s**2 + 9. Let w(d) = 0. What is d? -2, -1, 0, 1 Suppose -67*z + 104 = -15*z. Factor 0 + 9/4*i + 1/4*i**3 - 3/2*i**z. i*(i - 3)**2/4 Let l(p) be the first derivative of p**6/75 - p**4/30 - p - 1. Let m(a) be the first derivative of l(a). Let m(z) = 0. Calculate z. -1, 0, 1 Let j = 3 - 0. Factor 0*q**3 + 2*q**2 - 6*q**j + 4 - 5*q + 14*q**2 - 9*q. -2*(q - 1)**2*(3*q - 2) Let f(p) be the first derivative of 0*p + p**3 + 3/4*p**4 + 0*p**2 + 1. Find a, given that f(a) = 0. -1, 0 Suppose 4*h = -12 - 0. Let w be h/(-12)*2*10. Solve -2/7*v + 0*v**3 + 0 - 4/7*v**2 + 2/7*v**w + 4/7*v**4 = 0. -1, 0, 1 Let m(b) = b + 6. Let n be m(-4). Suppose -a + n = -0*a. Suppose 8/5*j**a + 2/5*j + 0 + 4/5*j**4 + 2*j**3 = 0. What is j? -1, -1/2, 0 Suppose -4*c = -41 - 15. Let b be (c + -4)*2/5. Factor 2*m**b + m**3 - m**3 - 3*m**4 + m**2. -m**2*(m - 1)*(m + 1) Suppose n + 8 = 3*y, -3*n = -4*y - 4*n + 6. What is a in 5*a - 6*a**4 + a**3 + 31*a**3 - a + 20*a**4 + 22*a**y = 0? -1, -2/7, 0 Let j be 8/(-20) - 36/10. Let w be j*1*3/(-6). Factor 1/2*x + 1/6*x**w + 1/3. (x + 1)*(x + 2)/6 Let z(i) be the first derivative of i**6/720 + i**5/120 + i**4/48 + i**3/3 + 6. Let p(q) be the third derivative of z(q). Factor p(k). (k + 1)**2/2 Let s(n) be the first derivative of -n**5/35 - n**4/14 + n**3/21 + n**2/7 - 17. Factor s(v). -v*(v - 1)*(v + 1)*(v + 2)/7 Let n(x) be the second derivative of -x + 0*x**3 + 0*x**4 + 0*x**2 + 0 + 1/40*x**5. Factor n(k). k**3/2 Let c(i) be the second derivative of i**4/4 + 7*i**3/2 - 12*i**2 - 6*i + 9. Suppose c(x) = 0. What is x? -8, 1 Let z(s) be the second derivative of -s**7/63 + s**6/9 - 3*s**5/10 + 7*s**4/18 - 2*s**3/9 + 24*s. Let z(i) = 0. What is i? 0, 1, 2 Suppose -5*j + 6 = 4*b, -3*j - 3*b + 5 = -2*b. Solve 3*r**j - 2 + 0*r - r**2 - r - r**2 = 0 for r. -1, 2 What is z in -1 + 5/4*z - 1/4*z**2 = 0? 1, 4 Let g = 30 - 28. Let l be (-1)/(-5) - 14/(-5). Let -8/3*t + 2/3*t**4 + 4/3*t**l + 8/3 - g*t**2 = 0. What is t? -2, 1 Let j(g) = 4*g - 9. Let m be j(6). Let r be (84/m)/((-6)/(-21)). Let 8/5*q + r*q**3 + 0 - 56/5*q**2 = 0. Calculate q. 0, 2/7 Suppose -3*b = 2*b - 25. Let d(l) = -l - 1. Let g be d(-5). Factor 0 + 4/3*y**g + 2/3*y**b - 4/3*y**2 + 0*y**3 - 2/3*y. 2*y*(y - 1)*(y + 1)**3/3 Let u(n) = -16*n - 46. Let k be u(-3). Find g such that 0 - 7/3*g**k + 1/3*g**5 + 2/3*g + 3*g**3 - 5/3*g**4 = 0. 0, 1, 2 Let b = 3 + -7/3. Let z be (-30)/(-6)*2/15. Determine j so that 0*j - b*j**3 - 2/3*j**4 + 2/3*j**5 + 0 + z*j**2 = 0. -1, 0, 1 Suppose 44 + 31 = 5*s. Let t = 12 + 3. Find g such that t*g - g**3 - s*g + g**4 = 0. 0, 1 Let c be (-3 + 2)*6 - -2. Let g be 4 + (-1)/(c/(-13)). Factor -1/4*s - g*s**3 + 0 - 1/4*s**4 - 3/4*s**2. -s*(s + 1)**3/4 Let v(b) be the second derivative of -1/12*b**4 + 1/6*b**3 + 1/80*b**5 + 0*b**2 + 0 - 2*b. Factor v(u). u*(u - 2)**2/4 Suppose -16 + 4 = -4*h. Let d(c) be the second derivative of c + 1/60*c**4 - 1/150*c**6 + 0 + 0*c**2 + 1/210*c**7 - 1/100*c**5 + 0*c**h. What is n in d(n) = 0? -1, 0, 1 Let d be (1/(-2))/(2/20). Let i be (-1)/2 - d/2. Find b, given that -2/3 + 2*b**4 + 2*b - 2/3*b**5 - 4/3*b**3 - 4/3*b**i = 0. -1, 1 Let g be (-258)/8 - (-6)/12. Let z = 32 + g. Factor 0*a + 1/4 - z*a**2. -(a - 1)*(a + 1)/4 Let q(x) be the first derivative of -x**4/60 - x**3/15 + 4*x + 4. Let b(c) be the first derivative of q(c). What is y in b(y) = 0? -2, 0 Let a be (-98)/8 + 5 + -3. Let q = a + 131/12. Let -q*d**3 + 0 + 0*d - 2/3*d**2 = 0. Calculate d. -1, 0 Let v(t) be the first derivative of t**8/420 - t**7/105 + t**5/15 - t**4/6 - 5*t**3/3 + 4. Let o(b) be the third derivative of v(b). Factor o(q). 4*(q - 1)**3*(q + 1) Factor 5/2*j**3 + 0 + 15/2*j - 10*j**2. 5*j*(j - 3)*(j - 1)/2 Factor -9*l**2 - 2*l**2 + l**2 + 8*l + 4*l**3 - 2*l**2. 4*l*(l - 2)*(l - 1) Let s(w) = 4*w + 5. Let m be s(-4). Let n be (-2 + 1)/((-5)/(-20)). Let k(c) = c**2 + 9*c + 8. Let u(l) = -3*l - 3. Let d(f) = m*u(f) + n*k(f). Factor d(h). -(h + 1)*(4*h - 1) Let u(z) be the third derivative of -z**6/360 - z**5/180 + z**4/72 + z**3/18 - 7*z**2. Factor u(a). -(a - 1)*(a + 1)**2/3 Suppose -5*x + 3 = 4*p, 4*p - x = 6*p - 9. Let k = 10 - p. Factor -14*v**k + 5*v**4 + 10*v**2 - 4*v**3 + 9*v**4 - 6*v**2. 2*v**2*(v - 1)*(7*v - 2) Let i(n) be the third derivative of -7/48*n**4 + 0*n + 4*n**2 - 1/6*n**3 - 1/48*n**6 - 1/420*n**7 - 3/40*n**5 + 0. Factor i(b). -(b + 1)**3*(b + 2)/2 Let a(v) be the second derivative of -v**6/10 + 3*v**5/20 + v. Determine h so that a(h) = 0. 0, 1 Suppose -5*m - 21 = -v + 5, 5*v + 2*m - 103 = 0. Let n(p) = 7*p - 17. Let d be n(4). Factor -3 - v*x**2 - d*x + 2*x - 6*x + 9. -3*(x + 1)*(7*x - 2) Let p be -1 + (26 - (0 + 0)). Let m be 40/p*10/4. Determine r so that -6*r**2 - 2 + 2*r**2 - 3*r**m + 4*r**3 + 9*r**4 - 6*r + 2*r**5 = 0. -1, 1 Determine i so that -39/4*i**3 - 3/4*i**4 - 36*i**2 + 0 - 27*i = 0. -6, -1, 0 Let f(p) be the first derivative of 5*p**6/6 - 4*p**5 + 15*p**4/4 + 20*p**3/3 - 10*p**2 - 5. What is y in f(y) = 0? -1, 0, 1, 2 Let j(b) be the second derivative of -b**5/40 + b**4/24 - 17*b. Suppose j(y) = 0. Calculate y. 0, 1 Let y(j) be the second derivative of j**8/4480 + j**7/1260 - j**6/1440 - j**5/120 + j**4/6 - 3*j. Let b(n) be the third derivative of y(n). Factor b(u). (u + 1)**2*(3*u - 2)/2
Let t(b) = 323*b - 1067. What is the hundreds digit of t(6)? 8 What is the hundreds digit of 14673*4*((-78)/(-36))/13? 7 Let s(x) = -7*x**3 + 10*x**2 + 3*x + 38. Let h(m) = 6*m**3 - 10*m**2 - 2*m - 39. Let w(i) = 6*h(i) + 5*s(i). What is the hundreds digit of w(14)? 7 Let k be (48/(-112))/((-2)/14*1). Suppose -k*s + 12*s - 1692 = 0. What is the hundreds digit of s? 1 Let x = -13703 - -24441. What is the hundreds digit of x? 7 Suppose 5*d = n + 663, 0*n - 264 = -2*d + n. Suppose 91 = 4*a - d. Let h = -46 + a. What is the tens digit of h? 1 What is the hundreds digit of (-142048)/(-12) + (5/(-60) - 1/4)? 8 Let r(y) = y - 3. Let n be r(6). Suppose 0 = n*i - z - 13, i = -i - 2*z + 6. What is the tens digit of -2 + -1 + 66 + i? 6 Let m = -27181 + 47698. What is the thousands digit of m? 0 Let b = -6000 - -14356. What is the hundreds digit of b? 3 Let k be (-42)/(-168)*(-2 - -2). Suppose k = 8*r - 5499 - 1613. What is the units digit of r? 9 Let p be (-3)/33 + (-43)/11. What is the tens digit of 12/((-660)/(-15115)) - p/22? 7 Let q be ((-4)/(-2))/((-1)/((-2)/(-4))). Let t be (q - -1) + -1 + 1. Suppose 6*k + 3*k - 1116 = t. What is the hundreds digit of k? 1 Let h be ((-12)/(-10))/((-3)/35). What is the hundreds digit of (12 - (-28032)/(-112))*h/4? 8 Let k(b) = 34*b - 12. Let s be k(2). Let v = s + -51. Suppose -13*y + 8 = -v*y. What is the units digit of y? 1 Let z be (-13)/(-4) - (-70)/(-280). Suppose 3*d = -3*c + 1758, -5*d + z*c + 2587 = -375. What is the tens digit of d? 9 Suppose 2*k - 2*y = 34158, -72039 = -4*k - 4*y - 3715. Suppose 9*l - 23*l + k = 0. What is the units digit of l? 0 Let r be (-1 + (-13)/2)*7280/(-210). Let i = r + -27. What is the hundreds digit of i? 2 Suppose -3*u - 5*r = -33 + 5, -2*r + 16 = 2*u. Let j be ((-42)/(-6) - 4)/(u/116). Suppose 5*l + j = 493. What is the units digit of l? 7 Suppose -297*v = -1718433 - 585693. What is the tens digit of v? 5 Let f be (-8)/2*2*-73. Let a be ((-6)/6 - 409) + -6. Let c = f + a. What is the tens digit of c? 6 Let l(g) = -33*g + 14. Let u be l(7). Let a = u - -329. What is the units digit of a? 2 Let h = 8155 + -1337. What is the units digit of h? 8 Let i(x) = x**3 + x**2 + 2*x + 4. Let y be i(-3). Suppose 10*s - 17*s = 3990. What is the units digit of (s/y)/((-1)/(-2))? 7 Let t = -90651 + 139235. What is the units digit of t? 4 Let d(w) = -54*w - 84. Let f be d(3). Let j = f - -364. What is the tens digit of j? 1 Let y(l) = 429*l**2 - 19*l - 124. What is the tens digit of y(-8)? 8 Suppose 3*i + 27 = 33. Let c(z) = z**i - 2 - 2 - 18 - 4*z - 10. What is the units digit of c(17)? 9 Let x(c) = -647*c + 421. What is the thousands digit of x(-11)? 7 Let s be (-37)/(-7) + 1 + 36/(-28). Suppose s*k + 144 = -3*k. What is the tens digit of ((-201)/18*4)/(6/k)? 3 Let t(i) = -8*i**2. Let a be t(1). Let l(h) = 56*h - 170. Let w be l(3). What is the units digit of ((-42)/(-16)*w)/(1/a)? 2 Let z = -23 + 25. What is the units digit of (z/6)/((-4)/(-1884))? 7 Let m be 7*(3/1 - (-6 - -8)). Suppose -m*g = -30 + 9. Suppose g*h = -a + 27 + 66, 5*a + 155 = 5*h. What is the tens digit of h? 3 Let d(l) = -l**2 + l + 10. Let i be d(0). Let u = i + 82. Suppose -3*b = -b - 5*y - 11, 0 = 4*b + 4*y - u. What is the units digit of b? 8 Let c(q) = 109*q + 57*q - 196 - 53*q. What is the tens digit of c(7)? 9 Let s(q) = -q**3 - 13*q**2 + q + 13. Let j be s(-13). Suppose 2 = -j*g - g. What is the tens digit of (86 + g - -1) + 1? 8 Let m(x) = 4*x + 1. Let o be m(10). Suppose 0 = 5*k + 11 - o. Suppose 36*v - k = 35*v. What is the units digit of v? 6 Let o be (4 + -3)*(-1 + 423). Let n = o - 282. What is the tens digit of n? 4 Let n(g) = 160*g**2 + 11*g + 20. Let h be n(15). Suppose 35*m = 3540 + h. What is the tens digit of m? 3 Let a be (-2)/(-4) + 214839/54. Suppose -39*w - a + 23167 = 0. What is the hundreds digit of w? 4 Suppose 3*n + 24820 = 4*v, -4*v - 27*n = -22*n - 24820. What is the units digit of v? 5 Suppose 5*y = -2*z + 19, -5*z + 2*z + 21 = 5*y. Let n be 366/(-12) - z/(-4). What is the tens digit of (-1684)/(-24) - (-5)/n? 7 Let r = -8441 - -26889. What is the thousands digit of r? 8 Let u(s) = -2093*s**3 + 48*s**2 + 126*s - 38. What is the hundreds digit of u(-3)? 5 Suppose 8 = -3*n + 5. Let f be (n - (0 + 3)) + 9. Let v(r) = 2*r**2 + 13. What is the units digit of v(f)? 3 Let g be (-2)/((32/(-14008))/2). Let j = g - 1132. What is the units digit of j? 9 Let i(g) = 50*g**3 - 17*g**2 + 143*g - 26. What is the hundreds digit of i(9)? 3 Suppose -60*c = -70*c + 1220. Suppose 4*o + s - c - 586 = 0, -16 = 4*s. What is the tens digit of o? 7 Let h(d) = 3*d**2 - 26*d - 3. Let l be h(9). Suppose 4*g = l*b - 3*b - 1509, 3*b - 1509 = -3*g. What is the tens digit of b? 0 Suppose -123*x = -24*x - 72672 - 28011. What is the units digit of x? 7 Suppose -9*r + 69 = 15. Let l(o) = -o**3 + 8*o**2 - 7*o - 9. Let i be l(r). Let y = i - -15. What is the tens digit of y? 3 Let h(f) = f**2 - 10*f + 9. Let x = 8 + 1. Let l be h(x). Suppose -5*c - 4*u - 48 + 443 = l, -4*c + 4*u + 280 = 0. What is the units digit of c? 5 Let t(u) = 2*u + 6 - 2 + u**3 + 0*u**3 - 3*u**2 + 4. Let x be t(6). Suppose x = -11*h + 2317. What is the hundreds digit of h? 1 Let k(z) = 11*z + 20. Let n(r) = -3*r**2 - 13 + 3*r**2 + 4*r**2 - 2*r**2 + r. Let b be n(-4). What is the tens digit of k(b)? 8 Let z be (36/(-45))/1 - 184/(-5). What is the tens digit of ((-390)/(-52))/(2/z)? 3 Suppose u = 1, -4*x - 4*u = -78470 + 16506. What is the ten thousands digit of x? 1 Suppose -10*u = 63*u - 1091642. What is the thousands digit of u? 4 Let d(c) = 23*c**2 + 20*c - 177. What is the tens digit of d(10)? 2 Let c(o) = 4*o - 28. Let h be c(8). Suppose 3*x - 3*j - 1878 = 0, -5*j + h*j + 618 = x. What is the hundreds digit of x? 6 Suppose -2*q + 7*q + 4*l + 1838 = 0, -5*l = q + 376. Let c = 614 + q. What is the hundreds digit of c? 2 What is the thousands digit of -25*(-1464)/(-240)*1212/(-10)? 8 Let k = -101 - -98. Let c(v) = -2*v - 9. Let a be c(3). What is the hundreds digit of (-349)/k + (-10)/a? 1 Let u = 5106 - 2981. Suppose u = 8*t - 443. What is the units digit of t? 1 What is the thousands digit of (-4 + (16 - 10))*(-7754)/(-4)? 3 Let p(s) = -9*s**3 - 36*s**2 + 287*s + 53. What is the thousands digit of p(-17)? 8 Let c(p) = -45 + 834*p**2 + 99*p**2 - p + 10*p**2 + 48. What is the tens digit of c(1)? 4 Let y(w) = 28*w**2 + 2*w - 3. Let q be y(1). Let u = -28 + q. What is the units digit of (-1 + 1 - u)*71? 1 Let f(c) = 9*c**2 - 29*c + 34. Let d(z) = -5*z**2 + 14*z - 17. Let j(t) = -5*d(t) - 3*f(t). Let s be j(7). Suppose s*x = x + 228. What is the tens digit of x? 7 Let x(r) = r + 9. Let q be x(-6). Suppose -106 + 96 = -23*i + 82. Suppose -539 = -2*k + q*s, k - i*s = 295 - 13. What is the units digit of k? 2 Suppose -2*o - 5*t + 11122 = 0, -4*t = 2*o - 1826 - 9298. What is the units digit of o? 6 Suppose -284*f = 23*f - 1378777 - 1263879. What is the hundreds digit of f? 6 Suppose 0 = 3*s - 4*v - 219466, -4*s + 321754 = -4*v + 29134. What is the tens digit of s? 5 Let n(m) = -146*m - 244. What is the hundreds digit of n(-6)? 6 Let s = -6112 - -20238. What is the tens digit of (8 - s/(-63)) + 4/(-18)? 3 Suppose 0 = 32*c - 29*c. Suppose -18*r + 12*r + 72 = c. What is the hundreds digit of 1880/r*(-18)/(-15)? 1 Let u = 2 - 2. Suppose 5*p = -3*m + 72, 7*m + 44 = 4*p + 6*m. Suppose -54 = -u*c - 2*c + 3*g, 0 = -3*g - p. What is the units digit of c? 1 Let x be (-3)/(-9) + 474/(-18). Let d = -25 - x. Let f(y) = 196*y**2 - 4*y + 1. What is the units digit of f(d)? 3 What is the units digit of 1/(-3 - (-140)/49) - -15540? 3 Let i(v) be the third derivative of 79*v**5/60 - v**4/24 + v**3/3 + 2*v**2. Suppose -18*k + 9*k + 9 = 0. What is the units digit of i(k)? 0 Let t(v) = -2*v**3 + 23*v**2 - 35*v + 17. What is the tens digit of t(8)? 8 Let h(q) = 4*q**3 + 415*q**2 - 150*q - 118. What is the units digit of h(-104)? 6 Let x = 6 - 10. Let y = x + 9. Suppose y*f = d - 11 - 35, 0 = -4*d + 5*f + 229. What is the tens digit of d? 6 Suppose 3*i - 4 = 26. Suppose 6*f - 12 = i*f. What is the tens digit of 318/(-9)*f/2? 5 Suppose -76669 - 7631 = 50*w. Let n = -1012 - w. What is the units digit of n? 4 Let a be (92/(-12))/(8/(-24)). Let r(t) = 10*t + 77. What is the hundreds digit of r(a)? 3 Let d be -1*(10/(-1) + 0). Suppose -4*c + 6 = 3*y - d, -5*c + 14 = 3*y. Suppose y*h + 4*h = 2340. What is the tens digit of h? 9 Let p = 13 + -7. Let o be 4/38 + (-967)/(-19). Suppose -5*b = -o + p. What is the units digit of b? 9
Simplify o**30*o**(-30)/o*(o**8/o)**(3/2) assuming o is positive. o**(19/2) Simplify (q/(q**(-8)/q)*q*q*q*q/q**(3/5)*q)/(q*q*q*(q/q**(-7/5))/q*q*q**(-13)) assuming q is positive. q**22 Simplify ((z**(1/12))**(4/13))**(2/7) assuming z is positive. z**(2/273) Simplify (y*y*y/((y*y*y**(-19))/y*y)*y*y*y)**(18/5)/(y**(-31)/(y*y**(2/15))) assuming y is positive. y**(1724/15) Simplify (a**22/a)**(3/7)*(a*(a*a*a**(-2/17))/a)**(-50) assuming a is positive. a**(-1447/17) Simplify m**(-3/4)/m*m**(2/19)*m*m*m/((m*(m*m/(m/(m*m*m**(1/9)*m*m)))/m*m)/m)*m*m*m**5 assuming m is positive. m**(2219/684) Simplify (i**19/i**(1/3))/((i*i**15*i)/i**(-28)) assuming i is positive. i**(-79/3) Simplify (i*i**(-2/7))**8*i**(10/3)/i**(-2/3) assuming i is positive. i**(68/7) Simplify (h/h**0)/(h**(-6/7)/h*h)*h**(4/3)*h*h*(h/(h/(h/(h**(-2/21)/h))))/h*h assuming h is positive. h**(51/7) Simplify (t**(-4/3))**16*(t**5)**(-4/37) assuming t is positive. t**(-2428/111) Simplify f**9/(f/(f**(-1/18)/f))*f**(2/7)/f**(3/5) assuming f is positive. f**(4177/630) Simplify (x**(1/11)*x*(x/(x*x**(1/63)))/x)/((x**(-12)*x*x)/x**31) assuming x is positive. x**(28465/693) Simplify (c**(-6)/(c*c*c*c**(-1/5)))/(c**(-5/6)/c*c**(-2/9)) assuming c is positive. c**(-607/90) Simplify ((k**(-1))**14/(k**(-6)*k**(2/3)))**(-5/2) assuming k is positive. k**(65/3) Simplify ((t**2)**13*(t*t/(t**(-1)*t))/(t*t*t*t**(1/7)*t))**(-4) assuming t is positive. t**(-668/7) Simplify ((y**(-3))**(-4)/(y*y**(1/8)/y*(y/(y**(-2/13)*y))/y))**(-21) assuming y is positive. y**(-27783/104) Simplify (p/(p*((p**10*p)/p)/p*p))/(p**(-15)*p)*p**(1/13)/p**(-6/17) assuming p is positive. p**(979/221) Simplify ((p**(-16/3))**3)**(31/3) assuming p is positive. p**(-496/3) Simplify ((g**9*g**(-1/4))**(1/12))**(-22) assuming g is positive. g**(-385/24) Simplify ((g*g*g**(-28/5))/g**37)**(-47) assuming g is positive. g**(9541/5) Simplify (h/(h**(-11/2)*h)*h**(-15)/h)/(h*h**9*h*h*h/(h*h**6*h*h*h)*h) assuming h is positive. h**(-29/2) Simplify (q/(q/(((q*q**(6/7))/q)/q*q))*q/(q**12*q))/(q/(q*((q*q*q/(q**(2/11)*q))/q)/q)*q/(((q*(q/(q/q**(-4/5)))/q)/q)/q)) assuming q is positive. q**(-5823/385) Simplify k/((k**(-1/2)*k)/k)*k/k**(1/24)*(k*k**(-8/7)/k)**(3/10) assuming k is positive. k**(1777/840) Simplify (t**(-7)*t)**(-3/22)*(t**1)**(2/13) assuming t is positive. t**(139/143) Simplify ((j*j**(2/15))/j**(-2/15)*(j*(j*j**0*j)/j)**(-2))**(-2/21) assuming j is positive. j**(82/315) Simplify (d/(d/d**3))**13*(d/(d/(d*d/(d/d**(-4/3)))))**(-33) assuming d is positive. d**50 Simplify (i**1)**13*(i**0/i)**(-16) assuming i is positive. i**29 Simplify ((v*v**(-1/3)*v)/(v/(v/(v/v**5*v*v))*v)*(v*v**3*v)/((v/(v/(v*v**3/v*v)))/v))**21 assuming v is positive. v**98 Simplify (l**(-17)/(l/(l**21*l)*l))**(-3/5) assuming l is positive. l**(-9/5) Simplify ((s/(s/((s**(2/7)*s)/s*s))*s)/s)/s**4*(s**11/s*s)/(s**(3/4)/s) assuming s is positive. s**(239/28) Simplify ((l/(l*l**0))/((l**(-12)*l)/l))/(l**(-4))**25 assuming l is positive. l**112 Simplify ((u**(-2/13)/u)/u**(-7)*(u**(-1/5))**(-3/13))**(-1/27) assuming u is positive. u**(-383/1755) Simplify (w**13)**17/((w**(-2/25)*w*w)/(w**(-1/4)/w)) assuming w is positive. w**(21783/100) Simplify ((x*x**(-2/5))**39*(x**(2/9))**(3/20))**(4/15) assuming x is positive. x**(1406/225) Simplify ((h/h**(14/9))**(-8))**(-10/19) assuming h is positive. h**(-400/171) Simplify (p/((((p*(p/p**(-19)*p)/p*p*p)/p*p)/p)/p)*(p/(p*p**(-7/4)))/p)/(p*p*p**(2/7)/p)**17 assuming p is positive. p**(-1151/28) Simplify (s/(s/((s/s**(-13)*s)/s*s)*s))/(s**(-5)*s)*(s**(-2))**48 assuming s is positive. s**(-78) Simplify (((b**10/b)/(b/b**(-2/5)))**(-7))**(6/19) assuming b is positive. b**(-84/5) Simplify (f/(f*f**(10/7)))**(16/7)*(f*(f*f/(f*((f*f**21)/f)/f*f)*f)/f)**(4/35) assuming f is positive. f**(-1332/245) Simplify (j**(-8)*j**9)**(1/5) assuming j is positive. j**(1/5) Simplify ((b**(-2)*b**(-7))**(-1/8))**9 assuming b is positive. b**(81/8) Simplify (s**(-1))**(-2/13)*s*s*s*s**(-6/11)/s*s*s**(4/3) assuming s is positive. s**(1691/429) Simplify (u*u**3)**(2/135)/(u/u**(-1/3)*u)**34 assuming u is positive. u**(-10702/135) Simplify (d/(d*d/(d/(d/d**(-13)))*d))/((d/d**14)/d)*((d*((d*d**8)/d)/d)/d)**29 assuming d is positive. d**202 Simplify s/(s*s/(s/(s*s**(-2/25)/s*s)))*s**13*(s*s**(1/4))**(1/35) assuming s is positive. s**(8481/700) Simplify (f**(1/2))**35*(f*f**0)**(2/85) assuming f is positive. f**(2979/170) Simplify (q**(-1/2)*q*q)**(2/9)/(q*q**(2/3)*q)**(-2/81) assuming q is positive. q**(97/243) Simplify (h**7*h**(2/11))/(h/h**(-2/3)*h**(-13)/h) assuming h is positive. h**(644/33) Simplify ((c/(((c/c**(1/2))/c)/c*c))/c)**(-2/13)*c**(2/43)*c/((c*(c/c**(-20))/c)/c) assuming c is positive. c**(-10638/559) Simplify (s/s**15*s**29)**(-35) assuming s is positive. s**(-525) Simplify y**(-29)*y**(-1/23)*y/y**22*y*y/((y**(-3/10)/y)/y) assuming y is positive. y**(-10521/230) Simplify ((p**(-1/11)/p*p**4)/((p**(2/5)/p)/(p/p**(-5)*p)))**30 assuming p is positive. p**(3468/11) Simplify (b**(1/19)/((b**(6/5)*b)/b))/(b*b**(3/5)*b*b**3) assuming b is positive. b**(-641/95) Simplify (u/(u/u**8))**(-2)*(u*u*u**(-6/5))/u**(16/7) assuming u is positive. u**(-612/35) Simplify ((z**(-10/3)*z*((z**(-1/8)*z)/z*z*z*z)/z)**49)**48 assuming z is positive. z**(-1078) Simplify (((p**(-1/4))**(-3/20))**11)**(-1/4) assuming p is positive. p**(-33/320) Simplify (m**(-11)/(m**(-1)*m))/(((m*m*m*m**12)/m*m*m)/m*m/(m**(-5)/m)) assuming m is positive. m**(-33) Simplify (j/j**(2/47)*j)**13/((j*j**(-4)*j)/(j**19*j)) assuming j is positive. j**(2230/47) Simplify ((g/(g*g**8)*g**(-8)*g)/(g/(g*g**(1/10))*g/(g/(g*g*g**(-3/2)*g))))**41 assuming g is positive. g**(-3362/5) Simplify ((a/(a/a**(-6)))/a**(-1/5)*(a/(a*a**0*a))**(-5/6))**(1/5) assuming a is positive. a**(-149/150) Simplify (x/(x/(x*(x/((x/(x**(2/3)/x))/x))/x)))**(9/8)/(x/(x*x**4)*x**(1/3)) assuming x is positive. x**(53/12) Simplify (j**0)**(-2/5)/(j**(4/7)/j*j)**(-18/13) assuming j is positive. j**(72/91) Simplify (((s/s**3)**40)**(3/13))**19 assuming s is positive. s**(-4560/13) Simplify (((q*q**(1/7))/q**(2/5))**(22/7))**24 assuming q is positive. q**(13728/245) Simplify (x**11/(x/(x/(x*x*x**(-3/2)))*x))/(x*x**(-1)/x)**36 assuming x is positive. x**(91/2) Simplify (((t/((t*(t**(1/3)/t)/t)/t))**(-6/11))**(1/28))**(-2/31) assuming t is positive. t**(8/2387) Simplify (((v*v/v**(-1/10))/(v*v**(-1/15)))/((v*v**3)/(v*v**(-2/11))))**18 assuming v is positive. v**(-399/11) Simplify ((k/(k*k*k/((k**(2/23)/k)/k)*k*k))/(k/(k*k**(1/4)/k*k*k)))**(34/3) assuming k is positive. k**(-2431/46) Simplify (b**(-22)*b*b)/(b**(2/47)*b)*(b**(-4/7)/b)/(b/b**(-1)*b) assuming b is positive. b**(-8427/329) Simplify z*z**(14/3)*z/(z**(-33)*z)*z**(-12/13)*z**(-1/33) assuming z is positive. z**(5393/143) Simplify (t/(t**(-8)/t)*t**(2/3))/(((t/((t/t**(-6)*t)/t))/t)/t)**(2/5) assuming t is positive. t**(208/15) Simplify (h/(h/h**(1/6)))/(h/(h/((h*(h*h/h**11)/h*h)/h))*h)*(h**(-1/5))**(7/13) assuming h is positive. h**(3143/390) Simplify ((w**(-1/3)*w)**(-4/29))**(2/37) assuming w is positive. w**(-16/3219) Simplify w**(-10)/(w*(w*w/w**(8/3))/w)*(w**2)**(7/4) assuming w is positive. w**(-35/6) Simplify ((m*m**(-4)/m*(m*m**(2/3)*m)/m)/(m**(-3)*m)**(-16))**(-31) assuming m is positive. m**(3193/3) Simplify (k**(-1/8)/k*k**(-6)*(k*k**11)/(k**(-5)*k))**(-48) assuming k is positive. k**(-426) Simplify h*h*h/h**(-22/5)*(((h**(3/8)/h)/h)/h)/h*h*((h**(12/11)/h*h)/h)**(-28) assuming h is positive. h**(981/440) Simplify ((m**(-1/2)/m*m)**19)**(-33/4) assuming m is positive. m**(627/8) Simplify (k/(k*(k/(k*k*k*k/k**(1/9)))/k)*k*k*(k/k**5)/k*(k**(-1/10)/k)/k**(2/13))**(-45) assuming k is positive. k**(427/26) Simplify ((t**25/t)/t*t*t/(t/t**(7/6)))**(-8/9) assuming t is positive. t**(-604/27) Simplify g**(1/57)/(g/(g*g**(-7/3)))*(g**7*g)/(g/g**(1/8)) assuming g is positive. g**(731/152) Simplify (((i/i**(-31))/i)/i**33)**(-4) assuming i is positive. i**8 Simplify (u**(2/31)/u)/(u**(-12)/u)*(u/(u/u**(-5/6))*u)**(-50) assuming u is positive. u**(347/93) Simplify (q**(-13))**(-3/19)*(((q/(q/q**(1/9)))/q)/q)/q*((q/q**(-18))/q)/q assuming q is positive. q**(2764/171) Simplify ((t**2)**41/(t**(2/3)*t/(t*t**(1/2))))**46 assuming t is positive. t**(11293/3) Simplify (y**(-8/3)*y**8)/(y**(-1/5))**(-1/10) assuming y is positive. y**(797/150) Simplify (((z*z*(z/(z*z/z**2))/z)/z**0)/((z*z**(-1/3))/z**(-4)))**39 assuming z is positive. z**(-104)
Simplify r/(r*r**2)*r*r**6*(r**(-1))**40*(r*r**(1/2))**(-33)*(r/r**(1/4))**(-28) assuming r is positive. r**(-211/2) Simplify (o*o/(o**(6/11)*o)*o**(3/10)*((o/(o/o**(-2/11)))/o*o)**(1/48))**(3/26) assuming o is positive. o**(991/11440) Simplify (v**(2/7))**(-2/33)/((v/(v*v/v**(1/3)))/(((v/v**(-6))/v)/v))*(((v/(((v/(v*v**(-1/3)))/v)/v))/v)**(-2/47))**(-2) assuming v is positive. v**(62875/10857) Simplify c**(-4/9)/c**(-27)*(c*c/c**0)**(-14/11) assuming c is positive. c**(2377/99) Simplify ((h*h/h**19)**(-1/2)*h**(1/3)/(h*h/(h/(h*h**32)*h*h)*h))**(-2/27) assuming h is positive. h**(145/81) Simplify n**(1/2)*(((n**(1/6)/n)/n)/n)/n*n*n/n**(-3/4)*n**(-2)*(n**(1/3)*n)**29*n**(-5/2)*n/(n/n**(-2/7)) assuming n is positive. n**(2797/84) Simplify (((p*p*p**(-1))/p*p)**(-1/10)*p**(-2/9)/p**(-1))/(p**1*p/p**(-2)*p*p)**(-12) assuming p is positive. p**(6541/90) Simplify (q/(q/(q*q**1)))**(2/19)*(q/(q**(1/5)*q*q))**(2/21)*(q*(q*((q/(q/q**2))/q)/q*q*q)/q*q**(-1/4))/(q**2*q**(-4)) assuming q is positive. q**(12891/2660) Simplify (y/(y/(y/(y**0/y*y))*y))**(-6/11)/((y**(4/5)*y)/(y*(((y**4/y)/y)/y)/y))*y*y/(y/y**4)*y**(-2/7)*y*(y**0/y)/(y*(y**(-1/11)*y)/y) assuming y is positive. y**(1157/385) Simplify (((m/(m**(-34)*m))/(m*m**(-26/3)))/(m**(-21)*m*m)**(3/19))**(-5/4) assuming m is positive. m**(-335/6) Simplify ((b/b**(-10/3)*(b/(b**9*b))/b)/(b*b**(-12)/b*b**(3/2)*b*b))**(10/3) assuming b is positive. b**(85/9) Simplify ((((h*h**(-11))/h*h*h/(h*(h/h**(-6))/h*h*h))**(-3/8))**(9/4))**(14/5) assuming h is positive. h**(1701/40) Simplify (((d*((d*d**(-1)*d)/d)/d)**4/((d*d*(d**(2/5)*d)/d)/d)**(-43))**(-16))**(1/12) assuming d is positive. d**(-1204/15) Simplify ((h**(-2/5)*h**(1/10)*h)/(h*h/h**(2/5))**(-2/57))/((h*(h*h/(h*h*h*h**(2/7))*h)/h)**(-7/2)*(h*h**4)/h*h**(2/25)) assuming h is positive. h**(-12323/2850) Simplify ((n**(2/57)*n**27)/(n**(-7)*n*n*n**(-16/5)))**(-1/28) assuming n is positive. n**(-5021/3990) Simplify (((s/(s/s**(-7/3))*s)/(s*s*s**(1/11)*s*s))/((s*s/(s**(1/13)*s)*s)/(s**(2/5)*s)))**(-42) assuming s is positive. s**(178598/715) Simplify ((i**(-3/14)/(i**(10/11)*i))/(i**5/((i*i**(-4))/i)))**42 assuming i is positive. i**(-5139/11) Simplify (f**(-5)/(f/(f/f**(-11))*f*f)*(f**14/f)/f**(2/5))**(-12) assuming f is positive. f**(-996/5) Simplify (l/l**0*l*l**(-3)*l**0*l**(3/2))/((l**0)**1/(l/l**(-1))**(-47)) assuming l is positive. l**(-187/2) Simplify (d**(-1/5)*d*d**(-1/4))/(d**(-6)*d*d*(d**(1/3)*d)/d)*((d/d**(-14))/d**(3/8))**12 assuming d is positive. d**(10783/60) Simplify (((b**(1/2)/b)/b**(-1/3))/(b*b**(-2/5))**25)**(4/5) assuming b is positive. b**(-182/15) Simplify ((g**(1/13)*g**(3/7)*g)/(g**(-8))**(-2/39))**(-4/41) assuming g is positive. g**(-92/861) Simplify ((f**(-2/7)/f)**(-8/13)*f**(-1/3)*(f/f**(2/13))/f)/(f/(f/((f*f**1*f)/f*f))*(f**(1/3)/f)/f)**13 assuming f is positive. f**(-4649/273) Simplify ((((l/(l/(((l**(-14/9)*l)/l)/l))*l)/(l/(l/l**(-1))))/(l/((l/(l*l/l**(1/3))*l)/l))**34)**12)**(5/3) assuming l is positive. l**(-10300/9) Simplify (y*y*y*y**(-1)/y)**11*y**(-5/4)*y*y**(2/7)*(y**(-7)/(y/(y/(y/y**(-1))*y)*y))/((y/y**(-2/9))/y**(-2/9)) assuming y is positive. y**(149/252) Simplify u**(-2/9)*u*u/u**(-2/5)*u**(-2)*u/u**(-1)*(u*u*u*u*u**(-3/4)*u**6)/((u/((u**(-1/4)*u)/u))/u**6) assuming u is positive. u**(728/45) Simplify ((u**(-3/7)*u*u**(-1/7))/(u**(2/3)*u)**(-1/21))/(((u/(u/u**(-2/17)))/(u**(-3/2)*u))/(u**(-6)*u**0)) assuming u is positive. u**(-12583/2142) Simplify (y**1/(y**3/y)*y**(-2)*y*(y/(y*y*y**(2/7))*y)/y)/((y**(2/7)/y)**(-3/19))**(-4/43) assuming y is positive. y**(-18731/5719) Simplify (z**8*z*z**(-2))/(z/z**0)**10*(z**(1/9)/z**(5/6))**(3/28) assuming z is positive. z**(-517/168) Simplify ((d**(-3/8)*d)/d*d**(1/3))/(d**3/(d*d**8))*(d**(-4/9)*d**(3/5))/(d*d*d**(-6)*d*d/(d/((d/((d/(d*d/((d/d**(-5/6))/d)*d))/d))/d))) assuming d is positive. d**(2501/360) Simplify (c**12*c**(4/9))**(-3/11)*(((c/(c*c**(-2/11))*c)/c)/(c*c*(c**(1/5)*c)/c))/(c/c**2)**(1/61) assuming c is positive. c**(-54308/10065) Simplify (((j**(1/2)/j**(2/5))/(j/((j/(j*j/j**(3/5)))/j)*j*j/(j*j**(1/4)/j)*j))**(-4/5))**(2/43) assuming j is positive. j**(202/1075) Simplify (b**(9/7)*b)/b**(35/6)*(b**(-6/13)*b)/b*b**(12/19)/b assuming b is positive. b**(-45413/10374) Simplify q**(-6/7)/((q**(1/2)*q*q*q*q)/q)*(q**(1/3))**26*(q**(1/3)/q)**11/((((q*q*q*q**(3/4)/q*q*q)/q*q)/q)/(q*q*q**(-2/13))) assuming q is positive. q**(-5381/1092) Simplify (((r*r**(6/5))/r)/(r**(-7)*r))**32/((r*r**(-1))**(1/5)*(((r**4/r)/r)/r)/(r*r**(2/17)/r)) assuming r is positive. r**(19509/85) Simplify ((p/p**3)**(-17))**(-1/3)*p**2/p**(-2/3)*p**(2/5)/(p*p**(5/4)*p) assuming p is positive. p**(-691/60) Simplify (i**26*i**35*i*i)/(i**(-1/6))**(10/13) assuming i is positive. i**(2462/39) Simplify (b**(-5/3)/b**2)**(1/40)/(b/b**7*b**8*b**0/b*b**(-1)) assuming b is positive. b**(-11/120) Simplify (c**0/(c*c**(1/14)))**(-45)*c**(1/2)*c/c**1*c*((c/((c/(c*c**(-5/3)*c*c*c))/c*c))/c)/c**(-4) assuming c is positive. c**(1156/21) Simplify ((((a/(a**(-6)/a))/(a**4/a))**(-6))**(-37))**(-3) assuming a is positive. a**(-3330) Simplify ((l**0)**5*(l/(l*l*l*l*l**(-5)))/l*l/(l**(-1)*l)*l*l*l*l)/(l**6/l*l**(2/11)*l**1*l*l**(-1)/l) assuming l is positive. l**(9/11) Simplify (((n**(3/5)/(n*n**(-1/13)*n))**(-32))**(-3))**(-2/53) assuming n is positive. n**(16512/3445) Simplify (y**(-1)/y)/y*y*y*y*y**4*(y/y**(-4))/y*y**(5/3)*(y**(1/10)/(y**(-2/11)/y))/((y/(y**3*y))/y*y**(2/5)*y) assuming y is positive. y**(4471/330) Simplify (((a/a**3*a/a**6)**(3/2))**22)**(-23) assuming a is positive. a**5313 Simplify ((j*j**(2/15)*j)/j*j*j*j**(-1/7))/((j/((j**(-2/11)/j)/j))/(j**2*j))*(j**(-2/3)/(j*j**(4/7)/j))**45 assuming j is positive. j**(-61106/1155) Simplify (((q**(-8)*q/(q/q**(-5)))/(q**(-2/5)/(q**1*q)))**(1/73))**(-7/11) assuming q is positive. q**(371/4015) Simplify ((p/(p*(p**2*p)/p))/p**(-7/4)*(p*p/p**4)**(-40))**(-8) assuming p is positive. p**(-638) Simplify (v/v**(-2)*v/(v*v**(1/5))*v**(2/13)*v**(2/5)/v)/(v/v**(-1)*v*v**0*(((v*v*v**2*v*v*v)/v)/v)**(10/9)) assuming v is positive. v**(-3628/585) Simplify ((s**(-6/7)*s/(s/(s*s**0)))/(s**(-7)*s/s**(-7)))/((s/((s/(s*s**(-4/7)/s))/s)*s*(s/(s*s**5))/s*s)/(s**7*s**(2/15))) assuming s is positive. s**(1034/105) Simplify (h*((h**2*h)/h)/h)**(2/27)*(((h/h**7)/h)/h*h*h)/(h/(h**(-4)*h))*(h*(h*h**(2/3))/h*h*h)/h**(1/4)*(h*(h*h**8)/h)/(h**(2/5)*h) assuming h is positive. h**(629/540) Simplify (d**(-6)/(d/(d**(4/3)/d*d*d)*d))/((((d**(-15)*d)/d)/d)/(d*d**28)) assuming d is positive. d**(118/3) Simplify q*q**(-26)*q*q/q**20*q*((q*q**(2/47)/q)/q)/q**(-19) assuming q is positive. q**(-1126/47) Simplify (f*f/f**6)/f**(2/15)*(f/(f/(f**(-13/3)*f)))/f*f**3 assuming f is positive. f**(-82/15) Simplify (n/((n*n*n*(n**(-3)*n)/n*n*n)/n)*(n*n/n**6)/n)**(-5/2)/((n*(n/n**(2/7))/n*n/n**(-5/3))/(n**(-1/6)*n/(n*n**(2/23)*n))) assuming n is positive. n**(3799/483) Simplify ((i**(-6)/i)**(-3/37)/(i**(-8))**(-2/23))**(-30) assuming i is positive. i**(3270/851) Simplify ((h**4/(h*((h**(-2/7)*h)/h)/h)*h**(-1/2)*h**(-2)*h)**(15/7))**(-32) assuming h is positive. h**(-9360/49) Simplify (((((b/b**5)/b*b)/b)/b)**8*b*b/b**14*b*b*b**(-1/14)/b*b)**32 assuming b is positive. b**(-13008/7) Simplify (y**(2/9)/(y**(-1/6)/y)*(y**(-3/4)*y)/((y*(y/(y*y**(-6)*y))/y)/y*y))/((y/(y**(-2)*y))/(y**7*y))**(2/5) assuming y is positive. y**(-173/180) Simplify (a**(1/2)*(a/(a/(a*a**(1/7)/a)))/a)**(-1/12)*((a**(1/3)*a)/(a**0*a))/((a/(a/a**(-1)*a)*a)/a)**(-12/5) assuming a is positive. a**(-3727/840) Simplify (c*c**1*c*c**(-1)*c)**(-1/13)/((c*c/(c*c*c**(-1)*c*c*c))**(14/13)/(c**0)**(-18)) assuming c is positive. c**(25/13) Simplify ((((l*l*l*l*l*l**(-19)/l)/l**5)**(-25))**(20/11))**(2/23) assuming l is positive. l**(20000/253) Simplify ((b**(-1))**(-18))**28/(b**(-6)*b/((b*b*b**(-1/6))/b)*(b*(b**(1/3)/b)/b)**(-2/3)) assuming b is positive. b**(9169/18) Simplify ((x**(-4)/x*x)/(x*x*x*x/x**(-1/5)))**21*x/x**5*x**(1/2)*x*x**(-2)/x*(x/((x**(2/5)*x)/x))/x assuming x is positive. x**(-1781/10) Simplify (d*d*d*d/(d/(d/(d*d**(2/7)))*d)*d*d*d**(-2))**16*((d**(-2/7))**(-26))**(-3/14) assuming d is positive. d**(1266/49) Simplify ((((g*g*g*g**(-40)*g)**(2/19))**(-21))**(-2/7))**(-2/3) assuming g is positive. g**(288/19) Simplify ((b**1*b)**(-8/15)*((b/b**(-1/4))/b)/b**0)/(b**(-7)/b**(-5))**(-36) assuming b is positive. b**(-4369/60) Simplify (n**(7/8)*n*n)/n**(-10/7)*n**(10/7)*(n**(-13)/n)/n assuming n is positive. n**(-519/56)
Suppose -4*g - 7 = q + 2, -q + 4*g = -15. Let i be (50/(-60))/(1*q/(-18)). Sort 4, -3, i, -1 in decreasing order. i, 4, -1, -3 Let d(q) = 2*q**2 + 30*q + 1. Let j be d(-15). Put j, 6, -2, -1 in ascending order. -2, -1, j, 6 Let w be ((-2)/8)/((-44)/32). Let a = -13599.3 - -13599. Sort w, 5, a, 3 in ascending order. a, w, 3, 5 Let x(l) = 11*l + 1343. Let k be x(-120). Sort k, -7, -5. -7, -5, k Let n = -227 + 227.1. Let s be (420/(-7))/12 + (-3)/(-1). Put -2/3, n, -5, s in ascending order. -5, s, -2/3, n Let o = -658 + 941. Let d = o + -283.1. Sort d, 4, 1.6, 1/6 in ascending order. d, 1/6, 1.6, 4 Suppose 2*j + m + 29 = 0, 0 = 4*j - 4*m + 40 + 48. Let r be j/5 + (-21)/35. Let u be 30/(-5) - 1*-1. Put r, u, 2, -1 in increasing order. u, r, -1, 2 Let z = 231.4 + -226. Let y = 5 - z. Sort 0, -2, y, 0.03 in descending order. 0.03, 0, y, -2 Suppose b - 5*q = 56, -180 = 4*b + 5*q - 529. Sort b, 0, -3, -5 in descending order. b, 0, -3, -5 Let a = -11 - -14. Sort -6, a, 0 in descending order. a, 0, -6 Let i(x) = 26*x + 1040. Let h be i(-40). Sort 490, 10, h in ascending order. h, 10, 490 Let v = -80 - -81. Let d be ((-3)/1)/((-3)/(-4)). Suppose -6 = 2*m + 4*r - r, -m + 3*r = 3. Sort v, d, 2, m in descending order. 2, v, m, d Let s(g) = 23*g - 1427. Let j be s(62). Sort -938, 4, j, 2 in decreasing order. 4, 2, j, -938 Let x = 25.94 - 25.7. Let i = 3.94 - 4. Let c = x - i. Sort -1/3, 0, c in increasing order. -1/3, 0, c Let d = 2 - 2.1. Suppose -14 = 21*a - 7*a. Let o be ((-66)/10)/3 + (-2)/a. Sort d, 5, 0.1, o in descending order. 5, 0.1, d, o Suppose -5*m + 877 = -622*f + 621*f, 0 = 3*m - 4*f - 533. Put -1, m, -4 in descending order. m, -1, -4 Let f(n) = 5*n**2 + 2*n + 2. Let z be f(-1). Suppose -3*k = -5*j - 0*j + 11, z*k + 11 = j. Put j, -2/31, 2/11 in descending order. j, 2/11, -2/31 Let s(r) = 2*r**2 + 63*r + 90. Let g be s(-30). Put -3, g, -535 in descending order. g, -3, -535 Suppose 27*a - 29*a + 2 = 3*x, -10 = -5*x. Sort 6, 4, -93, a. -93, a, 4, 6 Let n be 3 - (32/160)/((-1)/(-10)*2). Sort n, -4, -18, 0 in ascending order. -18, -4, 0, n Let s = -1910/13 - -19113/130. Sort 0.4, s, -2.2. -2.2, s, 0.4 Let f = -127.64 - -125.64. Let w = -12/19 + 3/95. Put -4, f, 0.3, w in increasing order. -4, f, w, 0.3 Let c be ((-56)/(-84))/(4/18) - 4*2. Sort 2, c, 1, -482, -2 in descending order. 2, 1, -2, c, -482 Let k(u) = u**3 + 9*u**2 + 7*u + 6. Let f be k(-6). Suppose -6*t = 2*t + f. Let c be t/(-27) + 22/6. Sort c, -1, 0, 2 in decreasing order. c, 2, 0, -1 Let d be 2 + 7 + -6 + 4. Let a be d + (0/2 - 7). Put 3, -4, a, -24 in increasing order. -24, -4, a, 3 Let o(u) = u**3 - 6*u**2 + 6*u + 6. Let f be o(5). Let y be (10 - 3) + -16 + f. Suppose 15 = 4*k - 5*s, 5 = 2*k - 0*k - 5*s. Sort 1, y, k in descending order. k, y, 1 Suppose 2*x = -5*j + 190 + 1198, 8 = -2*j. Let d = -705 + x. Put d, 15, -4 in decreasing order. 15, d, -4 Let a(l) = -27*l**2 + 224*l - 63. Let v be a(8). Let p = -274/7 + 39. Put p, v, 0, 1/28 in ascending order. p, 0, 1/28, v Let q be 4/(-14 - 342/(-27)). Put -5, 3, q, -21, 2 in descending order. 3, 2, q, -5, -21 Let i = 8413 + -8408. Suppose 2 - 5 = -a. Put -4, i, a, -9 in descending order. i, a, -4, -9 Let z = 24176 + -24177. Let t = -3.836 + -0.124. Let w = 4 + t. Put z, 2, w in descending order. 2, w, z Let s = 206 + 136. Let o = 340 - s. Sort o, 7, 0. o, 0, 7 Suppose j - 59 + 52 = 2*t, 2*t = -j - 17. Sort 1, 0, 4, j in descending order. 4, 1, 0, j Let u = 0.0206 + -0.0055. Let k = u + -4.0151. Sort -2/37, k, -2/7, 2 in decreasing order. 2, -2/37, -2/7, k Suppose -3*b = -12, 61 = -12*s + 17*s + 4*b. Sort s, -48, 0 in descending order. s, 0, -48 Let n(l) = 27*l**2 - 2783*l + 221. Let b be n(103). Sort -5, 2, 3, b in decreasing order. b, 3, 2, -5 Let i(f) = 505*f - 9086. Let m be i(18). Let g(o) = -o - 4. Let u be g(-7). Put u, m, 11 in ascending order. u, m, 11 Suppose 20 = 4*t, 3*t = -3*q + 2 + 1. Suppose s + 2*r + 800 = 0, -5*r + 2749 + 438 = -4*s. Let x = -799 - s. Put x, 3, q in increasing order. q, x, 3 Let h be (3 - 12901/4305)/((-2)/6). Let a = -623/820 - h. Sort -10, a, 0.2. -10, a, 0.2 Let k = 25368 + -25037. Put 1/2, 1, 2/9, k in descending order. k, 1, 1/2, 2/9 Let f be -1 + ((-10)/(-45) - (-100)/(-45)). Put 1, 5, f, -9 in ascending order. -9, f, 1, 5 Let a be 4*(-1 + (-12)/(-15) - (-342)/360). Suppose -5*d - 6 - 5 = -o, 3*d = -2*o - 17. Sort 2, a, o in descending order. a, 2, o Let u = 611/5 + -11599/95. Sort -2, u, 3, -6. -6, -2, u, 3 Suppose -380 = -4*l - 128. Let t = l - 63. Put -3, t, 4 in ascending order. -3, t, 4 Suppose 2*s + 9*d - 11*d - 4 = 0, 9*s + 3*d - 6 = 0. Put 5, s, -6, -4 in increasing order. -6, -4, s, 5 Let i(p) = p**2 - 12*p + 41. Let f be i(4). Put 3, f, 5, 10 in decreasing order. 10, f, 5, 3 Let j = -2.3 + 1.8. Let u = 889.4 + -753. Let w = 136 - u. Put -41/4, w, j in descending order. w, j, -41/4 Let b be (-14)/(6 + (-55)/10). Let a = 0.05 + 0.05. Put -4, 1/2, b, a in ascending order. b, -4, a, 1/2 Let y = -1763 - -1766. Put y, 9, 10, -5, 7 in descending order. 10, 9, 7, y, -5 Let z(p) = 0*p**2 + 2*p**2 + 2 + 133*p**3 - 134*p**3 + 3*p. Let r be z(3). Let f be (r - 2) + (4 - -1). Sort f, 0, 3 in ascending order. 0, 3, f Let z = 18.7 + -18.69. Sort -3, 5, -2/9, -1/5, z in ascending order. -3, -2/9, -1/5, z, 5 Let p = -34 + 36. Let i be 1*(-5)/15 + 3 + -2. Sort 1, i, -0.1, p in decreasing order. p, 1, i, -0.1 Let j = 0.096 + -1.016. Let h = j - -0.92. Let l be (-3)/3 + 11/13. Put 1.2, l, h in decreasing order. 1.2, h, l Let g be 13 + -1*(-16 - -34). Sort g, 100, -3, 5, 1. g, -3, 1, 5, 100 Let k = 29524 - 29524.3. Put k, 0.9, -3 in descending order. 0.9, k, -3 Let o = -250.4 + 250.3. Put o, 1, -5, 2, -54/17 in descending order. 2, 1, o, -54/17, -5 Let z = -18501 + 18499. Sort 1, -119, z in ascending order. -119, z, 1 Let d = 1 - 3. Let v(r) = -r**3 + 10*r**2 - 13*r - 20. Let m be v(8). Let h = 228 + -231. Sort 2, h, d, m in descending order. m, 2, d, h Let v(i) = -i**3 + 6*i**2 + 5. Let c be v(6). Let r = c - 4. Suppose 151 + 131 = 94*o. Sort 5, o, r, 2. r, 2, o, 5 Let d = 1200 - 817. Let h = d + -383. Put -4/7, 2/99, h in increasing order. -4/7, h, 2/99 Let y = 63.748 + -64. Let m = y - 4.348. Sort 0.5, -0.1, m in increasing order. m, -0.1, 0.5 Let q = -1.7 - -2.2. Let x = 0.02 - -4.98. Let g = 18170.3 - 18170. Put q, -1/7, x, g in ascending order. -1/7, g, q, x Let i = -2703.7 + 2707. Put 0, 12, i in increasing order. 0, i, 12 Let k(j) = -5*j - 9. Let z be k(-9). Let b be ((-36)/27)/((-2)/z). Suppose 0 = 9*s - 3*s - b. Sort 3, s, 2, 0 in ascending order. 0, 2, 3, s Let d = -11077 - -11173. Let b = -100 + -3. Let l = d + b. Put -3/8, 3, -0.1, l in ascending order. l, -3/8, -0.1, 3 Let g = 26153/2 + -13074. Put 39, g, -2/5, -1/6 in decreasing order. 39, g, -1/6, -2/5 Let b = 0.15434 - 0.55434. Let h = -0.04 - 2.96. Put 3, h, b in decreasing order. 3, b, h Let r be -2*4/(16/(-42)). Let v = -52 + 56. Let q be v/3*(-18)/(-8). Sort 4, q, r in ascending order. q, 4, r Suppose -4*d - q = -130, 0 = d + 95*q - 96*q - 25. Suppose 4*z = 3*z. Sort 5, z, d, -2. -2, z, 5, d Let c = -158.05 + 157.05. Sort c, -1/32, -1/59 in descending order. -1/59, -1/32, c Suppose 17 = -12*s - 7. Suppose -36*j = -30*j + 6. Put j, -4, s, 0.4 in increasing order. -4, s, j, 0.4 Let p(h) = -h + 8. Let n = 266 - 263. Let o be p(n). Let z(r) = 4*r**3 + r. Let f be z(-1). Sort o, 2, f, 1 in decreasing order. o, 2, 1, f Let k be (-4)/(-18)*1 - (-1 - -1). Let t = 587/4 + -147. Sort 0.3, k, t, 4. t, k, 0.3, 4 Let l = -21.812 - -22. Let h = l - -1.812. Let b = -0.04 + -1.96. Sort -1, b, h in decreasing order. h, -1, b Let z = 0.3035 + -0.2035. Put z, 10, 4, -2 in ascending order. -2, z, 4, 10 Let h = -16809 - -16811. Put 8, -1/14, h in descending order. 8, h, -1/14 Let l be -5 - -4 - 0 - (-6 + 0). Let t = -15 + 30. Suppose 0 = 4*i + i - t. Sort l, i, -2 in decreasing order. l, i, -2 Let a be (-462)/(-112) - (-1)/(-8). Let d be (6/(-42))/(-3 - (-48)/18). Put a, d, -5, -2 in decreasing order. a, d, -2, -5 Let h = 9349 + -9349. Sort 44, -10, 4, h in descending order. 44, 4, h, -10 Let x = -51.9 + 49. Let n = 2.5 + x. Let v be 20/70 + (-34)/70. Sort v, -0.3, 0, n in descending order. 0, v, -0.3, n Let h = -1959 + 1959.3. Sort -1, h, -2/7, 0.5, 1. -1, -2/7, h, 0.5, 1 Let t be (-30)/14*(9 - -10). Let j = -41 - t. Put -3, j, -0.051 in descending order. -0.051, j, -3 Let s be 444/(-11322) - (-496)/(-357) - 4/7. Put 1, 4, s, -167 in ascending order. -167, s, 1, 4
What is the common denominator of -2/918637 and -17/2413136? 161680112 Calculate the common denominator of -29/303496 and 75/1162544. 68590096 What is the common denominator of 75/52 and -19/1418? 36868 Calculate the common denominator of 37/2884 and -91/512940. 3590580 What is the lowest common multiple of 10139542 and 62? 10139542 What is the common denominator of 99/432544 and 113/30386216? 121544864 Calculate the common denominator of 67/7080 and 47/87936. 25941120 What is the lowest common multiple of 4796318 and 20? 47963180 What is the common denominator of -29/5737120 and 99/18400? 28685600 Find the common denominator of 29/939360 and -169/52668. 216992160 Find the common denominator of -17/3299358 and -15/125925497. 755552982 What is the smallest common multiple of 277 and 252866? 70043882 Calculate the smallest common multiple of 2788313 and 541420. 55766260 What is the common denominator of -9/8720 and -125/1512048? 7560240 Calculate the common denominator of 25/819 and -67/26333216. 236998944 Calculate the common denominator of 25/1431894 and 5/477298. 1431894 What is the lowest common multiple of 213336 and 11286? 133761672 What is the lowest common multiple of 54 and 23267772? 69803316 Calculate the smallest common multiple of 2078195 and 59377. 2078195 Find the common denominator of -27/294400 and 69/182600. 268787200 What is the least common multiple of 4161780 and 1332450? 978018300 What is the lowest common multiple of 19952 and 10552114? 84416912 Calculate the least common multiple of 98995 and 15184310. 197396030 What is the common denominator of -131/2388 and -95/3312? 659088 What is the common denominator of 5/2858322 and -29/60024762? 60024762 What is the smallest common multiple of 305522 and 61759090? 432313630 What is the common denominator of -23/14628213 and 187/1290? 146282130 Calculate the common denominator of -23/49325696 and -97/128. 49325696 Find the common denominator of 161/312 and -139/11774520. 153068760 Find the common denominator of -179/18300 and 61/206805. 252302100 Calculate the common denominator of -19/2072 and 95/28664. 7423976 Find the common denominator of -35/2448 and 41/1696. 259488 Calculate the smallest common multiple of 30 and 655215. 1310430 What is the smallest common multiple of 1505115 and 3372? 1691749260 What is the common denominator of 54/3937045 and -93/7874090? 7874090 What is the least common multiple of 20653776 and 1416? 20653776 Calculate the least common multiple of 164 and 133100. 5457100 Calculate the lowest common multiple of 68136 and 119000. 59619000 Calculate the common denominator of -43/79124 and -43/632992. 632992 Find the common denominator of 17/65060 and 27/15373678. 153736780 Find the common denominator of 29/6284320 and -3/701375. 157108000 Calculate the common denominator of 41/3572600 and -77/320. 28580800 Calculate the least common multiple of 31350 and 17765. 532950 Calculate the common denominator of -7/146028 and -91/21539130. 43078260 What is the least common multiple of 144854 and 341596? 22886932 Calculate the lowest common multiple of 4794275 and 27010. 9588550 Calculate the common denominator of -37/122417328 and 34/1159255. 612086640 Calculate the lowest common multiple of 260082 and 4984905. 29909430 Calculate the common denominator of -11/1055430 and 125/486. 3166290 Find the common denominator of -20/10081 and -25/144. 1451664 What is the common denominator of -55/1687 and 79/41934? 293538 What is the least common multiple of 4476879 and 2894144? 286520256 Calculate the least common multiple of 92925 and 518175. 30572325 What is the smallest common multiple of 27378 and 120? 547560 What is the least common multiple of 595350 and 3095820? 15479100 Calculate the lowest common multiple of 952 and 278650. 132637400 Calculate the common denominator of 61/220188 and 137/26124. 1541316 Calculate the common denominator of 26/63 and 16/37313649. 261195543 What is the least common multiple of 2728430 and 304460? 70939180 What is the least common multiple of 24497221 and 118986502? 832905514 Calculate the common denominator of -101/116388 and 95/54. 349164 What is the smallest common multiple of 121581210 and 4605? 121581210 What is the lowest common multiple of 4908 and 61782? 50537676 Calculate the common denominator of 11/2244691 and 25/11. 24691601 What is the lowest common multiple of 556813 and 40959? 616391991 What is the lowest common multiple of 109766 and 1082? 59383406 What is the common denominator of -61/10440 and 37/33606? 19491480 What is the common denominator of 43/108776 and 71/1408? 19144576 Find the common denominator of -82/493389 and -137/1113288. 43418232 Calculate the common denominator of 21/2037505 and 119/2445006. 12225030 Calculate the smallest common multiple of 2114766 and 165864. 8459064 What is the smallest common multiple of 168568 and 348? 14665416 Calculate the smallest common multiple of 1440 and 256148. 92213280 Calculate the lowest common multiple of 8135595 and 40677975. 40677975 What is the lowest common multiple of 7574156 and 22722468? 22722468 Calculate the common denominator of 173/2347170 and -83/280. 9388680 Find the common denominator of 24/10189 and 15/43378. 19216454 What is the least common multiple of 2679 and 593892? 11283948 Calculate the common denominator of -87/10651400 and 56/123822525. 990580200 What is the common denominator of -167/3564060 and 9/13370? 24948420 Find the common denominator of 17/14871864 and -59/1344. 118974912 Calculate the least common multiple of 2103660 and 15660. 6310980 What is the common denominator of 89/1225528 and 107/26? 15931864 Calculate the least common multiple of 42 and 16608564. 16608564 What is the lowest common multiple of 25086 and 66? 275946 Find the common denominator of 113/18 and -137/9761478. 29284434 What is the smallest common multiple of 11648318 and 50771? 81538226 Calculate the smallest common multiple of 128172 and 45584. 132786192 Find the common denominator of 77/995894 and 113/6358. 10954834 Calculate the common denominator of -17/4626474 and 109/12. 9252948 What is the common denominator of 49/6816855 and -38/1689? 3837889365 What is the lowest common multiple of 90 and 48100? 432900 What is the lowest common multiple of 405 and 18762975? 56288925 Calculate the lowest common multiple of 69992257 and 1. 69992257 What is the common denominator of -21/25923326 and 55/4713332? 51846652 Calculate the smallest common multiple of 439236270 and 20. 878472540 Calculate the least common multiple of 36288 and 172368. 689472 Calculate the lowest common multiple of 2765582 and 157638174. 157638174 Find the common denominator of 34 and -26/214893147. 214893147 What is the smallest common multiple of 445713734 and 12? 2674282404 Find the common denominator of 68/13943577 and -9/20803. 989993967 Calculate the smallest common multiple of 22 and 17131078. 188441858 Calculate the common denominator of 9/381976 and 121/4992972. 69901608 What is the smallest common multiple of 5120 and 110880? 3548160 What is the common denominator of -37/832 and -85/81632? 2122432 What is the least common multiple of 166656 and 864? 1499904 What is the least common multiple of 412 and 5186668? 5186668 What is the smallest common multiple of 1684 and 26918? 22664956 What is the common denominator of -39/159959767 and 37/58167188? 639839068 Calculate the lowest common multiple of 5406120 and 30. 5406120 What is the common denominator of -77/2623508 and 53/31994? 2623508 Calculate the common denominator of -36/11 and 13/52751. 580261 Calculate the least common multiple of 2973690 and 370. 2973690 Calculate the lowest common multiple of 20619 and 147414. 12825018 Calculate the lowest common multiple of 56261926 and 156370. 281309630 Calculate the common denominator of 51/184 and 93/424180. 19512280 Find the common denominator of 34/180585 and 99/40892470. 368032230 What is the smallest common multiple of 679 and 130774? 12685078 What is the least common multiple of 998877052 and 14? 6992139364 What is the least common multiple of 222499 and 99902051? 99902051 What is the common denominator of -11/3269 and -101/24206? 11304202 Find the common denominator of 35/258999 and 29/39. 258999 Calculate the smallest common multiple of 411 and 3735315. 511738155 Find the common denominator of 5/124263608 and -19/131172. 372790824 Calculate the common denominator of -85/1136 and -33/1111552. 78920192 Calculate the common denominator of 113/880 and 51/227200. 2499200
What is the remainder when 6252323 is divided by 90? 23 What is the remainder when 1268695 is divided by 1952? 1847 Calculate the remainder when 1583658 is divided by 87981. 0 Calculate the remainder when 1025231 is divided by 542. 309 Calculate the remainder when 8824687 is divided by 3294. 61 Calculate the remainder when 14327923 is divided by 18. 13 What is the remainder when 38566863 is divided by 1391? 1388 What is the remainder when 17655442 is divided by 44? 2 What is the remainder when 595064213 is divided by 5? 3 What is the remainder when 32622342 is divided by 6524465? 17 Calculate the remainder when 14692876 is divided by 2535. 16 What is the remainder when 252426 is divided by 17? 10 Calculate the remainder when 6669490 is divided by 238196. 2 What is the remainder when 1253301 is divided by 1253259? 42 What is the remainder when 4226104265 is divided by 5401? 5399 Calculate the remainder when 122664510 is divided by 7. 3 Calculate the remainder when 19789827 is divided by 6596546. 189 Calculate the remainder when 648646 is divided by 1416. 118 What is the remainder when 5682860 is divided by 868? 64 Calculate the remainder when 7220758 is divided by 120. 118 What is the remainder when 4574864 is divided by 16397? 101 What is the remainder when 129778 is divided by 43162? 292 What is the remainder when 87913234 is divided by 887? 3 What is the remainder when 1739325 is divided by 407? 214 What is the remainder when 270295 is divided by 506? 91 What is the remainder when 1032657 is divided by 7479? 555 Calculate the remainder when 1028654 is divided by 449. 444 Calculate the remainder when 89482409 is divided by 1118530. 9 Calculate the remainder when 9334 is divided by 4847. 4487 What is the remainder when 24665 is divided by 6068? 393 Calculate the remainder when 106797 is divided by 1369. 15 Calculate the remainder when 198704792 is divided by 7. 6 Calculate the remainder when 2073032 is divided by 690937. 221 What is the remainder when 1796497 is divided by 898211? 75 Calculate the remainder when 14126118 is divided by 1047. 1041 What is the remainder when 2838609 is divided by 11877? 6 What is the remainder when 13506525 is divided by 54? 45 What is the remainder when 1086009832 is divided by 134? 132 What is the remainder when 594504 is divided by 118896? 24 Calculate the remainder when 4991409 is divided by 5804. 5773 What is the remainder when 122042 is divided by 60672? 698 Calculate the remainder when 1344049 is divided by 6027. 28 What is the remainder when 14906871 is divided by 3726708? 39 Calculate the remainder when 409554 is divided by 3900. 54 Calculate the remainder when 197437565 is divided by 1814. 1805 Calculate the remainder when 261524 is divided by 1428. 200 Calculate the remainder when 1233512 is divided by 616736. 40 Calculate the remainder when 3415959 is divided by 1392. 1383 What is the remainder when 1989678 is divided by 207? 201 What is the remainder when 697817669 is divided by 489? 488 What is the remainder when 1117289 is divided by 4453? 4039 Calculate the remainder when 12966833 is divided by 5430. 5423 What is the remainder when 18146306 is divided by 39? 35 What is the remainder when 213924 is divided by 8554? 74 What is the remainder when 1587477 is divided by 3137? 155 Calculate the remainder when 154127 is divided by 29981. 4222 Calculate the remainder when 457667 is divided by 456258. 1409 Calculate the remainder when 192084 is divided by 28. 4 What is the remainder when 619187 is divided by 645? 632 What is the remainder when 653515921 is divided by 201? 199 Calculate the remainder when 27832412 is divided by 2. 0 What is the remainder when 34873877 is divided by 174? 101 Calculate the remainder when 52258 is divided by 663. 544 What is the remainder when 588805 is divided by 1412? 1 What is the remainder when 287310 is divided by 95625? 435 Calculate the remainder when 97499384 is divided by 6. 2 Calculate the remainder when 57214 is divided by 2263. 639 What is the remainder when 127046 is divided by 63516? 14 What is the remainder when 7835083 is divided by 7835067? 16 Calculate the remainder when 37468 is divided by 1804. 1388 Calculate the remainder when 236840 is divided by 33257. 4041 What is the remainder when 3081234 is divided by 22988? 842 Calculate the remainder when 2521733 is divided by 420284. 29 What is the remainder when 58986849 is divided by 142? 49 Calculate the remainder when 8829491 is divided by 100. 91 Calculate the remainder when 498051 is divided by 99577. 166 Calculate the remainder when 2154526 is divided by 21. 10 Calculate the remainder when 2127525 is divided by 1378. 1271 What is the remainder when 2671384 is divided by 2671291? 93 What is the remainder when 349880 is divided by 116564? 188 Calculate the remainder when 270205 is divided by 957. 331 Calculate the remainder when 755339 is divided by 82. 37 What is the remainder when 129998 is divided by 21633? 200 What is the remainder when 17788 is divided by 15185? 2603 Calculate the remainder when 230340 is divided by 9269. 7884 Calculate the remainder when 6534050 is divided by 27. 23 Calculate the remainder when 1676517 is divided by 8178. 27 What is the remainder when 30094 is divided by 4956? 358 Calculate the remainder when 8860 is divided by 1106. 12 Calculate the remainder when 16519848 is divided by 275. 48 What is the remainder when 61352 is divided by 61301? 51 Calculate the remainder when 14125962 is divided by 13. 6 Calculate the remainder when 17833140 is divided by 4198. 36 Calculate the remainder when 15251041 is divided by 298. 295 Calculate the remainder when 5438021 is divided by 1359503. 9 Calculate the remainder when 711953 is divided by 432. 17 Calculate the remainder when 9092429 is divided by 527. 98 What is the remainder when 30348295 is divided by 189? 187 Calculate the remainder when 2961743 is divided by 370216. 15 Calculate the remainder when 1990380 is divided by 1319. 9 Calculate the remainder when 655876942 is divided by 565899. 1 Calculate the remainder when 12872 is divided by 997. 908 What is the remainder when 15157 is divided by 13539? 1618 Calculate the remainder when 15255 is divided by 10120. 5135 Calculate the remainder when 59784 is divided by 883. 623 Calculate the remainder when 628978 is divided by 62884. 138 What is the remainder when 136752 is divided by 962? 148 What is the remainder when 92124491 is divided by 8221? 8186 What is the remainder when 53011776 is divided by 141? 6 Calculate the remainder when 10607584 is divided by 200143. 5 What is the remainder when 658813 is divided by 13445? 8 Calculate the remainder when 61999 is divided by 5149. 211 What is the remainder when 13662907 is divided by 254? 247 What is the remainder when 152523 is divided by 2627? 157 What is the remainder when 2194096 is divided by 365657? 154 Calculate the remainder when 538881 is divided by 1571. 28 What is the remainder when 3001825 is divided by 3001785? 40 What is the remainder when 745309 is divided by 372574? 161 What is the remainder when 521192 is divided by 12712? 0 Calculate the remainder when 6172 is divided by 3095. 3077 What is the remainder when 507174 is divided by 914? 818 Calculate the remainder when 29186791 is divided by 779. 777 What is the remainder when 3063663 is divided by 191476? 47 Calculate the remainder when 310632 is divided by 106. 52 What is the remainder when 12050 is divided by 2173? 1185 What is the remainder when 1067885 is divided by 48540? 5 What is the remainder when 5402649 is divided by 50? 49 What is the remainder when 157340088 is divided by 19? 5 Calculate the remainder when 471616 is divided by 4869. 4192 What is the remainder when 271602 is divided by 3353? 9 Calculate the remainder when 5595561 is divided by 213. 51 What is the remainder when 19009768 is divided by 1072? 1064 Calculate the remainder when 4805535 is divided by 4805531. 4 What is the remainder when 497914 is divided by 44706? 6148 What is the remainder when 2810234 is divided by 132? 86 Calculate the remainder when 29941213 is divided by 2393. 2390 What is the remainder when 63777495 is divided by 2435? 2410 Calculate the remainder when 2046962 is divided by 2361. 2336 Calculate the remainder when 177185 is divided by 224. 1 What is the remainder when 3767 is divided by 3036? 731 Calculate the remainder when 91390469 is divided by 13824. 5 Calculate the remainder when 10627936 is divided by 3542627. 55 Calculate the remainder when 31478105 is divided by 379. 260
Simplify ((sqrt(76) + sqrt(76)*1)/sqrt(2))/(sqrt(200) + (sqrt(200)*2 - sqrt(200)) + sqrt(200))*6*6*-3. -36*sqrt(19)/5 Simplify (3*(-4*(1*sqrt(304) + sqrt(304) - sqrt(304)) + 0))**2 + -2. 43774 Simplify (-2*(3*sqrt(324) - sqrt(36)))/(sqrt(144)/(sqrt(36)/sqrt(3)*3)). -48*sqrt(3) Simplify (sqrt(1573) + 0 + (sqrt(1573) - (sqrt(1573) + -3 + sqrt(1573))) + sqrt(1573) + (1*(-2 + sqrt(1573)) - sqrt(1573)) + sqrt(1573) + sqrt(1573))**2. 66*sqrt(13) + 14158 Simplify 2*((sqrt(1008) - 3*(sqrt(1008) + -1)) + 1*sqrt(1008)*-2). -96*sqrt(7) + 6 Simplify (sqrt(209) + (sqrt(209) - 3*sqrt(209)*-1) - sqrt(209) - (5*(sqrt(209)*2 + sqrt(209)) + sqrt(209)))/((sqrt(77) - -6*-2*sqrt(77))/sqrt(7)). 12*sqrt(19)/11 Simplify (4 + (sqrt(13) - 2*sqrt(1872)) + -3)**2 - (-2 + -4*(-2*sqrt(143) - sqrt(143))/sqrt(11)). -58*sqrt(13) + 6880 Simplify 0 + (2 + (sqrt(1100) + 1)*2)**2 + 5 + 2. 160*sqrt(11) + 4423 Simplify -5 + -5*(sqrt(114)/(sqrt(18)/sqrt(3)) + (sqrt(76)/sqrt(4))**2 + 3)*6. -665 - 30*sqrt(19) Simplify (((sqrt(180) + -1 + sqrt(180) - sqrt(180)) + sqrt(180))*-2 + 2*2*sqrt(180) + 1)**2. 9 Simplify (5*(1 + (1 + 3 + sqrt(468) - sqrt(468))))**2. 625 Simplify (5 + 2 + 4*sqrt(637) + -3)**2. 224*sqrt(13) + 10208 Simplify (-5 + (sqrt(600) + -3*sqrt(600))/(sqrt(200)*-2))**2. -10*sqrt(3) + 28 Simplify ((sqrt(3388)*1 - sqrt(3388)) + sqrt(3388) + sqrt(140)/(sqrt(5) + 1*sqrt(5)))/(-1*sqrt(196)*-1). 23*sqrt(7)/14 Simplify (-6*sqrt(91)*1*-2)/((((1*sqrt(84) + sqrt(84) - sqrt(84) - sqrt(84) - sqrt(84))*-2 - sqrt(84)) + sqrt(84))/sqrt(12)). 6*sqrt(13) Simplify -4*(1 + -2 + ((sqrt(242) + 2 + sqrt(242))**2 + sqrt(2))*-1). 356*sqrt(2) + 3892 Simplify 4 + 4 + ((sqrt(200) - (sqrt(200) + (sqrt(200) - (sqrt(200) + 1 + sqrt(200) - sqrt(200))))) + 5 + sqrt(200))**2 + -4. 120*sqrt(2) + 240 Simplify (sqrt(2) - (-1 + sqrt(32))) + sqrt(2)*-3 + -3 + 3 + -4. -6*sqrt(2) - 3 Simplify (sqrt(13) + sqrt(1872)*2)*1 + sqrt(26)/sqrt(2) + -4 + sqrt(13) + 0. -4 + 27*sqrt(13) Simplify 1*(-2 + sqrt(1100) + 1 + -3*(sqrt(1100) + 1 + sqrt(1100)) + sqrt(1100) + -3)**2. 560*sqrt(11) + 17649 Simplify 1 + 2 + sqrt(15)/(sqrt(125)*-5 + sqrt(5)) + (-2 + sqrt(48) + 2)**2. -sqrt(3)/24 + 51 Simplify (4*(5*sqrt(32)/sqrt(2))/(sqrt(8)*-2*5))**2. 8 Simplify 5 + ((-3*(2 + sqrt(147) - sqrt(147))*2)**2 - ((sqrt(147) + 1 - sqrt(147))*-1 - (-2*sqrt(147) + 0))). -14*sqrt(3) + 150 Simplify ((5*1*sqrt(65) + sqrt(65) - (sqrt(65) + (sqrt(65) + sqrt(65) + sqrt(65)*2)*-4))/(-3*(sqrt(80) - (1*sqrt(80) + sqrt(80)))))**2. 637/16 Simplify (sqrt(110)*4*3 + sqrt(110) - sqrt(110))/(sqrt(60)/sqrt(6)*-2). -6*sqrt(11) Simplify -2 + -3*(1 + sqrt(128))**2. -389 - 48*sqrt(2) Simplify (sqrt(396) - (3*(-2 + sqrt(396)) - sqrt(396))**2) + sqrt(396) + sqrt(396)*-2 + 4. -1616 + 144*sqrt(11) Simplify (sqrt(114) + -2*sqrt(114)*2 - (sqrt(114) - (sqrt(114) + (sqrt(114)*2 - sqrt(114)))*5))/(6*(sqrt(6) - sqrt(24)/sqrt(4)) + sqrt(6)*-2*2). -3*sqrt(19)/2 Simplify (2 + -1*1*sqrt(171)*-1)**2. 12*sqrt(19) + 175 Simplify ((2*1*sqrt(68) + sqrt(68) - sqrt(68)) + sqrt(68) + 5*(sqrt(68) - -2*sqrt(68)))/(4*(sqrt(576) + 3*sqrt(576))). 3*sqrt(17)/32 Simplify (4*sqrt(900))/(sqrt(12) + (sqrt(144) - (sqrt(144) + (sqrt(144) - ((sqrt(144)*-1 - sqrt(144)) + sqrt(144)))))/sqrt(12))*5. -100*sqrt(3) Simplify (((2*sqrt(468)*-1)**2 - sqrt(468)) + (sqrt(468) + sqrt(468) + 0 + 0)**2 + sqrt(468))*1 + 3. 3747 Simplify sqrt(117)/(sqrt(225)*3 + sqrt(9)) + -6*sqrt(117) + 3*sqrt(52)/sqrt(4). -239*sqrt(13)/16 Simplify (4*(-3*(sqrt(98) + 2 - sqrt(98)) + sqrt(98)) - ((sqrt(98) + 1)*-3 + -3 + sqrt(98) + 1))**2. -1596*sqrt(2) + 3889 Simplify ((-3*(sqrt(136) + sqrt(136) + (-5*(-1*sqrt(136) - sqrt(136) - sqrt(136)) - sqrt(136))))/(3*sqrt(40)/sqrt(5)*-3))**2. 4352/9 Simplify (0 + (sqrt(225)*-1)/sqrt(5))**2 - sqrt(450)/(sqrt(10) - ((sqrt(160) - -2*sqrt(160)) + sqrt(160))). sqrt(5)/5 + 45 Simplify -1*((sqrt(10) + sqrt(10) + (sqrt(120)/sqrt(3))/sqrt(4))/(4*sqrt(45)))**2. -1/8 Simplify (sqrt(128)*2 + 3 - sqrt(128)) + sqrt(72) + sqrt(72)*2 + -1 + 4. 6 + 26*sqrt(2) Simplify (1*sqrt(99) + -1)**2 - (sqrt(11)*1*4 + (sqrt(11)*-2)**2 + sqrt(11) + 4). -11*sqrt(11) + 52 Simplify -5*((-1*(sqrt(5) + -1 + 1) - ((sqrt(5)*-2 + sqrt(5))*3 - -3*sqrt(20)))*-4)**2. -6400 Simplify ((-1 + sqrt(343) - (1 + sqrt(63))) + 3)*-1. -4*sqrt(7) - 1 Simplify 6*(sqrt(300) + -2) + -6*4*sqrt(192). -132*sqrt(3) - 12 Simplify (-3*(sqrt(68) + 2*sqrt(68))*2)/((1*sqrt(16) - sqrt(16)) + 4*sqrt(36)). -3*sqrt(17)/2 Simplify 3*(-2*sqrt(847))**2 - (sqrt(35)/(-3*sqrt(500)))**2. 9147593/900 Simplify 3*(sqrt(21)/(sqrt(7)*-2) - sqrt(3))*5*1*-4. 90*sqrt(3) Simplify (4 + sqrt(176))**2 + 1 - ((sqrt(77)*4)/sqrt(7) + -3). 28*sqrt(11) + 196 Simplify ((sqrt(450) + 2*sqrt(450) + sqrt(450))/sqrt(10) + 1*sqrt(2880) + sqrt(2880) + sqrt(45))/(((sqrt(9) + sqrt(9)*-1 - sqrt(9))*-5 + sqrt(9))*1). 7*sqrt(5)/2 Simplify (1*(sqrt(77) - (sqrt(77) + sqrt(77)*4 + sqrt(77))))/(4*sqrt(7)*-2 - sqrt(7)). 5*sqrt(11)/9 Simplify (sqrt(33)/(sqrt(12) + sqrt(108)/sqrt(9)) + sqrt(11) + (2*sqrt(1331) - sqrt(1331)) + sqrt(11) + sqrt(1584) + (sqrt(1584) - -2*sqrt(1584)))**2. 660275/16 Simplify 3*sqrt(13) + sqrt(13) + 1 + sqrt(13) + 2 - (-2 + sqrt(1872) - sqrt(1872))*6. 15 + 5*sqrt(13) Simplify (-2*3*sqrt(2) + (sqrt(200) - 3*sqrt(200) - sqrt(200)) + sqrt(2))**2 - (2*-5*-1*sqrt(72))**2. -4750 Simplify (sqrt(6050)*2 + sqrt(6050))/(sqrt(30)/sqrt(3)*4) + -5. -5 + 33*sqrt(5)/4 Simplify -5 + (-5*sqrt(77)*2)/(-1*sqrt(176)). -5 + 5*sqrt(7)/2 Simplify (sqrt(56)/(-2*sqrt(2)))/((sqrt(112) - sqrt(28))/sqrt(7)). -sqrt(7)/2 Simplify 4*(1 + sqrt(176) + sqrt(176) + -2*(sqrt(176) + (sqrt(176) - -2*sqrt(176))**2) + -5). -12688 Simplify -2 + (5*sqrt(153)*3)/(sqrt(9)*-4*1). -15*sqrt(17)/4 - 2 Simplify -5*(sqrt(304) + 3 + (sqrt(304) - ((-3*sqrt(304))**2 + sqrt(304))) + sqrt(304) + 2 + 5). -40*sqrt(19) + 13630 Simplify 5*(((sqrt(1377) + (3 + sqrt(1377))**2)*4 - sqrt(1377) - (sqrt(1377) - ((sqrt(1377)*-1 - sqrt(1377))*-4)**2)) + -2). 1170*sqrt(17) + 468350 Simplify -1*((sqrt(1008) - -2*(-2*sqrt(1008) - sqrt(1008))) + -4)**2. -25216 - 480*sqrt(7) Simplify 3 + -1*(0 + sqrt(245) + 3 - (3 + 1*sqrt(245)))**2. 3 Simplify (((sqrt(432) + -1)*6 - (1 + sqrt(432) + -5 - sqrt(432)))*-4*-4)**2. -73728*sqrt(3) + 3982336 Simplify ((sqrt(190)*-1 + sqrt(190))*-1 - sqrt(190))/(sqrt(10) - -5*sqrt(10)*-6). sqrt(19)/29 Simplify (4*(sqrt(11) + -2) + (sqrt(88)*2 - sqrt(88))/sqrt(8) - ((2*sqrt(132))/sqrt(12) - 4*(sqrt(11) + -1)))**2. -168*sqrt(11) + 683 Simplify (5*(3 + 6*(sqrt(2448)*1 + 1 + -4)))**2. -54000*sqrt(17) + 2208825 Simplify ((sqrt(30) - 3*sqrt(270))/(sqrt(30)/sqrt(3)*2))**2 + -1*(-1 + sqrt(3)*1 + 4). -sqrt(3) + 45 Simplify 2 + (0 + sqrt(320) + 0)*1 + -1. 1 + 8*sqrt(5) Simplify ((sqrt(198)*6)/(sqrt(2) - (sqrt(2) + sqrt(100)/sqrt(2))))**2. 3564/25 Simplify (0 + (-1*(sqrt(190) + (3*sqrt(190) - sqrt(190)))/sqrt(10))**2)*1. 171 Simplify -2*2*(-4 + -1*sqrt(475) + -5). 36 + 20*sqrt(19) Simplify 1 + -1 + 0 + (-2 + -2*sqrt(108) + 5 + (sqrt(108)*1 - sqrt(108)))**2. -72*sqrt(3) + 441 Simplify (2*sqrt(99)*-6 + sqrt(99)*1*-5)/(-5*sqrt(36)/sqrt(4) + sqrt(36)/sqrt(4)*-3). 17*sqrt(11)/8 Simplify (((sqrt(624)*2*-3 - sqrt(624)) + sqrt(624))/(sqrt(21)/(2*sqrt(7))*6))**2*2. 1664 Simplify -2*sqrt(33)/(1*1*sqrt(11) + sqrt(11))*4*5*-6. 120*sqrt(3) Simplify ((sqrt(7) + sqrt(84)/sqrt(588))*-5 - (2 + sqrt(7) + 1 - sqrt(84)/sqrt(108)))**2. 268*sqrt(7)/7 + 18523/63 Simplify 6*(sqrt(200)*-1*-4)**2 - (1 + sqrt(200)*-4 + 4). 40*sqrt(2) + 19195 Simplify -6*(-3 + (4*(sqrt(448) + 3*sqrt(448)) + 2)**2 + -1). -688128 - 3072*sqrt(7) Simplify (-6*(sqrt(1980) - -1*sqrt(1980)))/(sqrt(20)/(sqrt(64) - (sqrt(64) + (sqrt(64) + 1*sqrt(64) - sqrt(64)) + sqrt(64) + sqrt(64)))). 864*sqrt(11) Simplify (sqrt(2057)*-3 + 2 + 4 + sqrt(2057) + -2 + sqrt(2057))**2. -88*sqrt(17) + 2073 Simplify ((sqrt(252) + sqrt(252) + -1 - sqrt(252)) + -5)**2 - ((sqrt(3087) - sqrt(3087)*-1)*-2)**2. -49104 - 72*sqrt(7) Simplify 6*3*(-2*3*(0 + sqrt(1573) - sqrt(1573))*6)**2. 0 Simplify (((2*sqrt(273))/sqrt(7) + sqrt(39))/(5*sqrt(12)/sqrt(4)) - -5*((1 + sqrt(637) - sqrt(13)) + -3))**2. -612*sqrt(13) + 306817/25 Simplify -1 + ((sqrt(128) + 2)*-6 - (sqrt(128) + (-4 + sqrt(128) + (sqrt(128) - sqrt(128)*-2) - sqrt(128)))). -80*sqrt(2) - 9 Simplify (-1*(5*(3*sqrt(132) - sqrt(132)))/(sqrt(768) + sqrt(768)*3) + 3)**2. -15*sqrt(11)/8 + 2579/256 Simplify -4*(-4*(-1 + sqrt(18) + sqrt(18)) + (sqrt(220)/sqrt(44))/sqrt(10)). -16 + 94*sqrt(2) Simplify -1*sqrt(102)/(3*sqrt(24))*6. -sqrt(17)
Let z be 4/22 + 0 + 392/(-1309). What is the second smallest value in 2/11, -0.03, z? -0.03 Let c = -0.3 + -0.1. Let v = 70.5 - 70.5. What is the smallest value in c, 1, v, 3/2? c Let t(x) = x**3 - 5*x**2 + 5*x + 4. Let a be t(4). Let j be ((-4)/a)/(5/(-2)). What is the smallest value in -5, -0.4, j? -5 Let k be 3/45*-58 + 5 - 1. Which is the biggest value? (a) 1/8 (b) k (c) 0.3 c Let t be 4/(-6) + 14/(-6). Let s = -6 - t. Let u = -0.18 - -0.38. Which is the third biggest value? (a) 1/6 (b) s (c) u b Let s = 13748/29 + -474. What is the second smallest value in s, -2/15, -4, -1/2? -1/2 Let m(f) = f**2 + 3*f + 4. Let i be m(-3). Let n = -2.03 - -2.2. Let x = 4.83 + n. What is the second biggest value in x, i, 2/11? i Let f = 51/280 + 1/56. Let v = -413 + 2067/5. Which is the second biggest value? (a) v (b) f (c) -8/7 b Suppose 0 = -5*k + 10, -12*r + k + 8 = -17*r. Which is the smallest value? (a) 2/9 (b) 4 (c) -6 (d) r c Let o = 997/4 - 249. What is the second smallest value in -2, o, 5, 0.4? o Let s = 1171.5 + -1171. What is the second biggest value in 3.3, s, -1, 4? 3.3 Let p be -1*3 + 56/7. Suppose 0*s = -p*s + 4*z + 32, 0 = 2*s + 4*z + 4. Let i be ((-9)/(-21))/(s/(-14)). Which is the smallest value? (a) -3 (b) i (c) 0 a Suppose -5*i + 4*s = 45, -2*i + 6 = 5*s - 9. What is the second smallest value in -0.4, 4, i, 0.29? -0.4 Let w be (1/9)/((-4)/(-12)). Let f = 3.25 - 3.25. What is the second biggest value in 4, w, f, 0.2? w Let l = -1 + 1.1. Let u = 0.1 + l. Let r = 0.4 - 0.5. What is the second biggest value in 1/2, r, u? u Let i = 19 + -34. Let t = -15.2 - i. Which is the third smallest value? (a) t (b) 0.5 (c) -0.5 b Let s be (4/40)/(11/22). What is the biggest value in 5/2, 0.05, s? 5/2 Let z = -141 + 281. Let j be 5*7/z - (-2)/(-8). Which is the second smallest value? (a) -2 (b) 4 (c) -0.2 (d) j c Let v be 34/35 + 120/(-300). Which is the smallest value? (a) v (b) 0.2 (c) 3/7 (d) -3 d Let l be 1/(-2 + (-9)/6 + 4). What is the third biggest value in -3, l, -1? -3 Let w be 2*(1/2 - -1). Suppose -3 - 4 = -p + 4*v, -w*v + 3 = 2*p. Let m = -1332 + 1333. What is the biggest value in m, -0.3, p? p Suppose -4*h + 3*h - 3 = -p, -p = -2*h - 3. Let v = 14821 - 14822. Which is the second biggest value? (a) v (b) -1/3 (c) h (d) 3/5 c Let o be (8/(-32))/((-2)/88). Let s = 14 - o. Let w be s + (-10)/8*3. What is the smallest value in w, 0.1, 2? w Let d = -4.2 + -0.8. Let g = -12 - 54. Let v = g + 64. Which is the biggest value? (a) v (b) d (c) -4 a Let o = 1563 - 1561. What is the fourth biggest value in -4, 3/2, -1/16, o? -4 Let p = 0.456 - -0.034. Which is the biggest value? (a) 2/11 (b) -4 (c) p c Let p = 2.6 + -3.7. Let i = p + 1.5. Let o = -3.4 + i. Which is the smallest value? (a) 0.4 (b) -6 (c) o b Suppose 3*x + 3*g - 1 = -2*g, 3*x - 11 = 5*g. Let w = -703 - -703.06. Which is the biggest value? (a) x (b) 2/7 (c) w a Suppose 2*y = x + 3, -x - 4*x - 1 = 4*y. Let p = 0.01 + -4.51. Let u = p - -5. What is the third biggest value in -4/9, x, u? x Let j(i) = -3*i**2 + 28*i - 22. Let d be j(9). Which is the third smallest value? (a) 1 (b) 3 (c) d b Let m = 359 - 358.626. Let i = m + -0.074. What is the third smallest value in 0.5, 0.2, i, 0? i Let m = -296/85 - -66/17. Which is the biggest value? (a) -11 (b) 4 (c) -4 (d) m b Let w = -0.16 + -2.84. Let q = 5 - w. Which is the smallest value? (a) 5 (b) q (c) 0.5 c Let p = -0.35 - -0.45. Let o = 9 + -4. Suppose 12 = 3*x + b, -x = 3*x + o*b - 5. What is the third smallest value in -1, p, x? x Let j = -1.6 + 1.73. Let f = j - -0.97. Let a(t) = -1609*t + 16095. Let w be a(10). What is the second smallest value in w, 0, f? f Let o = 237.35 - 237. What is the second biggest value in 0, 4, 2/5, o? 2/5 Let v = 0.056 - -16.044. Let w = 17.1 - v. Let r = -4/31 + 74/93. What is the third biggest value in 0.4, w, r? 0.4 Let j = -0.2 + -0.3. Let u = -15 - -13.1. Let l = u + 2.1. What is the smallest value in l, j, 1/7? j Let v be ((-5)/(-3))/((-45)/(-18)). What is the second smallest value in -5, v, -3? -3 Let c = -220 - -225. What is the biggest value in c, 2/17, -2? c Let x = -271 - -270.6. Which is the biggest value? (a) x (b) -0.3 (c) 0.5 c Let v = -18.6 + 21. Let s = -0.4 + v. Let l = -8/13 - 2/39. What is the smallest value in l, s, -1? -1 Let d be (-2)/3*(-9)/21. Let y = 199/485 + -1/97. Let j = 149.1 + -149. Which is the biggest value? (a) j (b) d (c) y c Let k = 0.239 - 1.239. Which is the third smallest value? (a) -19 (b) k (c) -2 b Let n = -26 + 26.09. Let h = 0.15 - n. Suppose 6*v - 6 = -0*v. Which is the second biggest value? (a) v (b) -3 (c) h c Let o = 0.2241 + -0.3241. What is the third smallest value in -30/11, o, 2/15? 2/15 Let n = -2730 + 2728. What is the biggest value in 2, 5, n? 5 Suppose -4*q = 3*h + 8, -q + h + 15 = 6*h. Let j = q + 6. Let y = -124/285 + 2/57. What is the smallest value in j, 4, y? y Let r = 278.9 - 279. What is the third biggest value in 0.38, 0, r, 3/2? 0 Let v = 234.16 - 233. Which is the third smallest value? (a) -0.3 (b) v (c) 0 b Let d be 1/((2/(-3))/2). Let b be 5 - (3 + d + 2). Let f be (-11)/(-3) - 2/b. What is the third smallest value in f, 2, 5? 5 Let p(r) = -r**3 - 6*r**2 + 17*r + 7. Let d be p(-8). Suppose 20 = 4*l - 0*l - 2*y, -5*l + 16 = 2*y. What is the smallest value in l, 2, d? d Let y = 218/35 + -34/5. Let h be (138/5)/6 - 5. Which is the fourth biggest value? (a) 3 (b) h (c) 0.3 (d) y d Suppose 263*s - 131*s + 64 = 164*s. Let a = -104/255 - -2/255. What is the fourth smallest value in -0.5, a, 1/7, s? s Let o = -2598.5 - -2599. Which is the second biggest value? (a) 3.65 (b) 0.3 (c) o c Let q be -1 + 1 - 5 - (-22446)/4437. What is the fourth smallest value in -3, -2, q, 0.3? 0.3 Let b = 2.8 + 0.2. Let p = -83/3 + 28. What is the third biggest value in -1/2, 3/5, b, p? p Suppose 3*h = -h + 8. Suppose -2*l + 25 = j - 74, -h*l = 2*j - 96. Let v = l + -207/4. Which is the second biggest value? (a) -2 (b) v (c) 1 b Let j be (8/72)/((-10)/15). Which is the third biggest value? (a) j (b) -0.011 (c) -1 (d) 3 a Let u = 2.2 - 1.9. Let p(d) = -11*d + 7. Let f be p(0). What is the biggest value in u, f, -0.1? f Let t = -1174 - -1179. Which is the smallest value? (a) 4 (b) -1 (c) 10 (d) t b Let o be -57*(-3)/(-90) + 2/5. Which is the fourth smallest value? (a) -0.5 (b) -30/11 (c) 0.4 (d) o c Let h be -1 - (-1 - 4)*(-18)/(-15). Suppose h*a = -u + 14, 0 = -2*a + u + 3*u - 12. Let x = -1 - -1. What is the third smallest value in -0.1, a, x? a Let j be ((-39)/(-130))/((-24)/(-20)). Which is the biggest value? (a) 0 (b) -3/2 (c) 6 (d) j c Let g = 0.111 - -139.889. Let w = g + -137.7. What is the smallest value in -2, w, -2/13? -2 Let x = -159.2 + 229. Let l = -70 + x. What is the third biggest value in 2, l, 4? l Suppose -4*w - 11 = -5*c, 2*c = -5 + 3. Let j be 10*(-10)/28 - w. What is the second biggest value in j, -3/5, 0.5? j Let x = 34/27 + -4/3. Which is the smallest value? (a) 5 (b) -0.2 (c) x b Let j = 0.24 - 3.24. Suppose u - v = -4*v - 11, v + 13 = -5*u. What is the second smallest value in u, 1/4, j? u Suppose -15*b - 28 = -11*b + 5*f, 4*f + 6 = 5*b. What is the fourth smallest value in 2, 3/4, b, 5? 5 Let b = -2281 + 2280. What is the fourth biggest value in 4, -5, -0.2, b? -5 Let b = -51.5 - -20.5. Let g = -29 + 61. Let d = g + b. What is the third biggest value in d, 1/6, -1/9? -1/9 Let j = -81/10 + 33/5. Let b = -18.9 - -12.8. Let c = b - -6. What is the biggest value in c, j, 0.4? 0.4 Let g = -1683/5 - -336. Let s = -11/26 + 12/13. What is the smallest value in -3/7, g, s? g Let h = -111 - -106. What is the fourth smallest value in -4/77, h, -1/6, -4/7? -4/77 Let d = -96.3 - -77.3. What is the third biggest value in d, 4, -4? d Let y be (-420)/45 - -7 - 6/(-2). What is the smallest value in -3, 28, y? -3 Let y be ((-4)/3 - -1)*2. Let b = -101 - -197/2. Let r = -13 + 12. What is the third smallest value in b, r, y? y Let y = 0.1409 + -2.1409. Let n = 7 + -5. Let w = 2.3 - n. What is the second biggest value in w, y, 1/3? w Let m = 1476/7 + -36907/175. What is the third biggest value in -0.5, m, 0.5, -2/13? -2/13 Let s = 0.171 + 0.229. Which is the third smallest value? (a) s (b) -930 (c) 0.3 a Let z = -9536/21 - -454. Let h = -8.85 + -0.15. Let j = h - -9.1. What is the smallest value in -2, j, z? -2 Let m = 1.6 + -17.6. Let f = m - -16. What is the second smallest value in f, 2, 7? 2
What is the u'th term of 74668921, 74668925, 74668931, 74668939, 74668949? u**2 + u + 74668919 What is the k'th term of 28807188, 28807192, 28807196, 28807200, 28807204? 4*k + 28807184 What is the p'th term of 46255615, 46255611, 46255607, 46255603? -4*p + 46255619 What is the j'th term of -48251638, -96503277, -144754916, -193006555, -241258194? -48251639*j + 1 What is the o'th term of -5191, -41479, -139971, -331771, -647983, -1119711, -1778059, -2654131? -5184*o**3 + 2*o**2 - 6*o - 3 What is the v'th term of -308, -1329, -2350, -3371? -1021*v + 713 What is the x'th term of -3241290, -3241271, -3241240, -3241191, -3241118? x**3 + 12*x - 3241303 What is the c'th term of -5121624, -5121646, -5121682, -5121732, -5121796, -5121874, -5121966? -7*c**2 - c - 5121616 What is the a'th term of -4333, -7433, -12565, -19729, -28925, -40153, -53413? -1016*a**2 - 52*a - 3265 What is the l'th term of -15900852, -15900853, -15900854, -15900855, -15900856, -15900857? -l - 15900851 What is the c'th term of -31020, -30746, -30014, -28596, -26264, -22790? 38*c**3 + c**2 + 5*c - 31064 What is the b'th term of 20520651, 20520652, 20520653, 20520654, 20520655? b + 20520650 What is the r'th term of -694, -5420, -13292, -24310, -38474? -1573*r**2 - 7*r + 886 What is the z'th term of 461111, 461125, 461149, 461189, 461251, 461341, 461465? z**3 - z**2 + 10*z + 461101 What is the m'th term of 144632, 289272, 433900, 578510, 723096, 867652, 1012172, 1156650? -m**3 + 144647*m - 14 What is the t'th term of 473, 878, 1227, 1496, 1661? -4*t**3 - 4*t**2 + 445*t + 36 What is the a'th term of -2335, 1257, 4847, 8435, 12021, 15605? -a**2 + 3595*a - 5929 What is the v'th term of -60730, -121433, -182104, -242743, -303350, -363925? 16*v**2 - 60751*v + 5 What is the n'th term of 6877, 7359, 8125, 9169, 10485, 12067, 13909? -n**3 + 148*n**2 + 45*n + 6685 What is the h'th term of 1055511, 1055318, 1055125? -193*h + 1055704 What is the y'th term of -673, -1213, -1739, -2245, -2725, -3173, -3583? y**3 + y**2 - 550*y - 125 What is the g'th term of 16383, 37257, 58131, 79005, 99879, 120753? 20874*g - 4491 What is the n'th term of 4352, 4549, 4868, 5309, 5872, 6557? 61*n**2 + 14*n + 4277 What is the x'th term of -11399, -11252, -10857, -10094, -8843, -6984, -4397, -962? 20*x**3 + 4*x**2 - 5*x - 11418 What is the j'th term of 24839235, 24839234, 24839233? -j + 24839236 What is the l'th term of -141508, -283220, -424934, -566650? -l**2 - 141709*l + 202 What is the g'th term of -2011, -4841, -8467, -12859, -17987, -23821? 5*g**3 - 428*g**2 - 1581*g - 7 What is the d'th term of -99063, -396217, -891461, -1584795, -2476219, -3565733, -4853337? -99045*d**2 - 19*d + 1 What is the i'th term of -242139, -484262, -726385? -242123*i - 16 What is the d'th term of -16703402, -16703404, -16703406, -16703408? -2*d - 16703400 What is the n'th term of -22763, -45540, -68215, -90788, -113259, -135628, -157895? 51*n**2 - 22930*n + 116 What is the v'th term of 8487, 5938, 3379, 804, -1793, -4418, -7077? -v**3 + v**2 - 2545*v + 11032 What is the d'th term of -42209, -72707, -103205, -133703, -164201? -30498*d - 11711 What is the n'th term of -14256, -11952, -9648, -7344? 2304*n - 16560 What is the r'th term of -2223, -8913, -20059, -35667, -55743, -80293? -r**3 - 2222*r**2 - 17*r + 17 What is the v'th term of 18984, 18959, 18940, 18927? 3*v**2 - 34*v + 19015 What is the o'th term of -19514, -28614, -37714, -46814? -9100*o - 10414 What is the x'th term of -11429017, -45716069, -102861157, -182864281? -11429018*x**2 + 2*x - 1 What is the r'th term of 49444, 46071, 42698? -3373*r + 52817 What is the l'th term of -533742, -1067493, -1601246, -2135001, -2668758, -3202517, -3736278? -l**2 - 533748*l + 7 What is the l'th term of 39265, 312862, 1054469, 2497768, 4876441, 8424170? 38947*l**3 + 323*l**2 - l - 4 What is the b'th term of 2008549, 2008521, 2008493, 2008465, 2008437? -28*b + 2008577 What is the k'th term of 29270, 116617, 262196, 466007? 29116*k**2 - k + 155 What is the c'th term of 165508, 165758, 166008, 166258? 250*c + 165258 What is the c'th term of 28748, 115125, 259156, 460841, 720180, 1037173, 1411820? 28827*c**2 - 104*c + 25 What is the l'th term of -157212, -628530, -1414060, -2513802, -3927756, -5655922? -157106*l**2 - 106 What is the v'th term of 12947, 51923, 116941, 208001? 13021*v**2 - 87*v + 13 What is the i'th term of 8326, 17775, 27224, 36673, 46122, 55571? 9449*i - 1123 What is the p'th term of -7238, -29132, -65624, -116714? -7299*p**2 + 3*p + 58 What is the d'th term of 3760, 3677, 3546, 3367, 3140? -24*d**2 - 11*d + 3795 What is the i'th term of 1492, 1539, 1710, 2065, 2664, 3567, 4834, 6525? 10*i**3 + 2*i**2 - 29*i + 1509 What is the a'th term of -941591, -941586, -941577, -941564, -941547, -941526, -941501? 2*a**2 - a - 941592 What is the n'th term of 1722232, 3444466, 5166700, 6888934, 8611168, 10333402? 1722234*n - 2 What is the x'th term of -260, -2708, -5156, -7604? -2448*x + 2188 What is the j'th term of -5039, -44539, -152977, -364823, -714547, -1236619? -5745*j**3 + j**2 + 712*j - 7 What is the x'th term of 20882212, 41764428, 62646646, 83528866? x**2 + 20882213*x - 2 What is the s'th term of 25616, 25317, 25018, 24719, 24420? -299*s + 25915 What is the f'th term of -555, -2024, -4181, -6804, -9671, -12560? 37*f**3 - 566*f**2 - 30*f + 4 What is the u'th term of 11073377, 11073376, 11073375, 11073374, 11073373? -u + 11073378 What is the r'th term of 4665674, 37325306, 125972880, 298602368, 583207742, 1007782974, 1600322036, 2388818900? 4665662*r**3 - r**2 + r + 12 What is the l'th term of 206122, 412226, 618304, 824344, 1030334, 1236262? -2*l**3 - l**2 + 206121*l + 4 What is the n'th term of 1168235, 1168222, 1168201, 1168172, 1168135? -4*n**2 - n + 1168240 What is the h'th term of -24092, -24069, -24046, -24023? 23*h - 24115 What is the y'th term of -3277230, -3277168, -3277060, -3276906, -3276706, -3276460? 23*y**2 - 7*y - 3277246 What is the i'th term of 3338, 26561, 89580, 212291, 414590, 716373, 1137536, 1697975? 3316*i**3 + 2*i**2 + 5*i + 15 What is the p'th term of -26267, -26297, -26329, -26369, -26423, -26497, -26597, -26729? -p**3 + 5*p**2 - 38*p - 26233 What is the m'th term of 19215, 38504, 57793, 77082, 96371, 115660? 19289*m - 74 What is the z'th term of 228538929, 914155698, 2056850313, 3656622774, 5713473081, 8227401234, 11198407233? 228538923*z**2 + 6 What is the w'th term of -545, -3461, -8321, -15125, -23873? -972*w**2 + 427 What is the p'th term of 424694, 424713, 424732, 424751, 424770? 19*p + 424675 What is the r'th term of -744394, -744450, -744516, -744592, -744678? -5*r**2 - 41*r - 744348 What is the p'th term of -3602, -1837, -72, 1693, 3458, 5223? 1765*p - 5367 What is the m'th term of -82795, -165580, -248365, -331150, -413935, -496720? -82785*m - 10 What is the q'th term of -9368, -36561, -81868, -145289, -226824, -326473? -9057*q**2 - 22*q - 289 What is the q'th term of 9214, 38005, 88132, 161347, 259402? 292*q**3 + 8916*q**2 - q + 7 What is the w'th term of -2018, -7550, -16772, -29684, -46286, -66578, -90560? -1845*w**2 + 3*w - 176 What is the g'th term of -259558, -259133, -258722, -258331, -257966? -g**3 - g**2 + 435*g - 259991 What is the l'th term of -14285, -14282, -14277, -14270? l**2 - 14286 What is the p'th term of -447351, -447381, -447411, -447441, -447471, -447501? -30*p - 447321 What is the q'th term of -1188534, -1188576, -1188616, -1188654? q**2 - 45*q - 1188490 What is the s'th term of 7515, 29674, 66613, 118332, 184831, 266110? 7390*s**2 - 11*s + 136 What is the r'th term of -139989, -140017, -140045, -140073, -140101, -140129? -28*r - 139961 What is the a'th term of -410506, -821066, -1231670, -1642312, -2052986? a**3 - 28*a**2 - 410483*a + 4 What is the n'th term of 26086, 52180, 78272, 104362, 130450, 156536, 182620? -n**2 + 26097*n - 10 What is the m'th term of 754, 2701, 5410, 8443, 11362? -73*m**3 + 819*m**2 + m + 7 What is the s'th term of 5323, 21768, 49337, 88030, 137847, 198788? 5562*s**2 - 241*s + 2 What is the k'th term of -592335, -592518, -592703, -592890? -k**2 - 180*k - 592154 What is the n'th term of 78808042, 78808044, 78808046, 78808048? 2*n + 78808040 What is the f'th term of -676, -348, 984, 3320? 502*f**2 - 1178*f What is the d'th term of -273497, -273462, -273355, -273140, -272781? 6*d**3 - 7*d - 273496 What is the l'th term of 254771879, 254771878, 254771877, 254771876, 254771875, 254771874? -l + 254771880
Let k = 33 + -23. Let t = k - 7. Suppose 0 = -t*j + 5*j - 10. Solve -j = -2*i - 3*i for i. 1 Let h = 23 + -21. Suppose 4*a + h = 14. Suppose 5*y - 1 = -t + 5*t, 3*t - 5 = -2*y. Solve t = -4*c + a*c for c. -1 Let s be (-8)/(-14)*63/18. Suppose -4*t + 45 = 3*y + 2*y, s*y - 15 = -t. Let r(m) = -m**2 + 11*m - 8. Let i be r(10). Solve 0 = i*z + 3 - y for z. 1 Let q(h) = 2*h**2 + 0*h**2 + 2*h - 10*h + 4. Let z be q(5). Suppose -n + 2*c + z = -c, 0 = -n + 4*c + 18. Solve n = o - 0 for o. 2 Let d(v) = 15*v + 32 + 12*v + 13*v - 36*v. Let z be d(-7). Solve -2 - z = -2*f for f. 3 Let g be ((-11)/(-22))/((-2)/(-44)). Suppose -g*l = -5*l - 12. Solve -k - l = k for k. -1 Let p be ((27/(-2))/9)/((-9)/12). Let s = 2 - p. Solve -k + s*k = -5 for k. 5 Let m be (0 + 0)/3 + 15. Let i be (-8)/20 - (-3 - (-26)/10). Solve 3*g + i*g = -m for g. -5 Let i be (4 + (-28)/8)*(2 - 2). Let a be (i + 4/8)*2. Solve -4 = 3*j - a for j. -1 Let n(y) = y**2 + 3*y - 2. Let x be n(5). Let t be -5 - 19 - -2*1. Let f = t + x. Solve -f = -0*z - 4*z for z. 4 Suppose 34*h = i + 30*h - 17, 2*i = -2*h + 4. Let m(q) = -2*q + 2*q - q**3 + 5 + 5*q**2. Let k be m(i). Solve -15 = -k*d - 0*d for d. 3 Let q(m) = 2*m**2. Let z(t) = t**2 - 9*t - 6. Let a be z(11). Suppose -3*f = -h + 7, -4 = -5*h + a. Let i be q(f). Solve 0 = i*s + 2 + 8 for s. -5 Let h be (3/(-2))/((-9)/132). Suppose 3*s + 4 = -k, -k + h = 4*k + s. Suppose -2*l - 2*g = -6*g - 16, 11 = -2*l - k*g. Solve -2 - l = -b for b. 4 Let j = 5 - 12. Let r(t) = -t**2 - 9*t - 14. Let b be r(j). Solve -x = -b - 4 for x. 4 Let b = -13 + 9. Let d be ((b*5)/5)/(-2). Solve d = v + 3 for v. -1 Suppose -r + 3 = -2. Let y(t) = 6*t - 23. Let o be y(8). Suppose -r*m + 3*n + 4 = n, -5*m = 5*n - o. Solve -m*a + 3*a - 2 = 0 for a. 2 Let v be (-3 - 1)/(-2) - -12. Suppose v*g = -5 + 47. Suppose 4*z - 8 = 4*f, -z = -4*f + 4 - 0. Solve -g*a = -5 + f for a. 1 Suppose 5*i = -5, -4*i + 39 = -4*j + i. Let t = -11 - j. Suppose t = -p - 4, -3*p - 49 = -5*z - 2*p. Solve 2*o - 1 - z = 0 for o. 5 Let m(v) = -2*v**2 - 6*v - 1. Let u be m(-3). Let a be u*(-1*6 + 3). Solve -a = o - 0*o for o. -3 Let q = -12 - -39. Let y = q + -9. Suppose 4*h - y = -2*i, 3*h - 3*i - 11 = -2. Solve h*s + s = 0 for s. 0 Let h(x) = -x**2 - 25*x - 124. Let t be h(-18). Solve -3 = -t*u - 13 for u. -5 Suppose 2*v + 14 = -6*k + k, -4*k - 16 = 0. Let m = v + 1. Suppose -m = 4*c - 16. Solve -c*d = -0*d for d. 0 Suppose 2*i - 12 = -s, 3*s - 5*s = -3*i + 11. Solve 20 = -i*y - 0 for y. -4 Suppose 16 = -4*x, -6*u + 5*u - 47 = -2*x. Let g = u + 64. Solve 0 = n + 2*n + g for n. -3 Suppose 2*m + 4 = 2*w, -10 = w - 6*m + 2*m. Solve 4*k + 2 = w for k. 1 Let d be (-32)/(-40) + 378/90. Solve d*j = 7 - 22 for j. -3 Suppose -179 = -35*j + 521. Solve -j + 13 = -7*k for k. 1 Let w(t) = 8*t**2 - 22*t - 1. Let l be w(3). Solve 4*j - 15 = l for j. 5 Let u(b) = -b**3 - 3*b**2 + 4*b + 4. Let x be u(-4). Suppose -x*o + s + 64 = 0, -6*s + s = 20. Let z = 1 - -2. Solve -6 + o = z*n for n. 3 Let n(d) be the second derivative of d**3/6 + 10*d**2 + 7*d. Let x be n(-16). Suppose 3*g = c - x, g - 4*c + 5 + 11 = 0. Solve 3*p = 9 - g for p. 3 Let z(f) = 24*f + 78. Let x be z(-3). Solve o + 10 = x*o for o. 2 Suppose 5*l - 13 = 2*y - 0*y, -3*l = 5*y - 14. Solve l*p = -3*p + 30 for p. 5 Suppose -11*f - 258 + 1182 = 0. Solve 13*y - f = -19 for y. 5 Let o = -71 + 73. Suppose o*u + 77 = 97. Solve -4 + u = 3*s for s. 2 Let b be ((-4)/3)/((-4)/12). Suppose -b*x + 10 = -22. Let g = x + 1. Solve 5*h = 2*h - g for h. -3 Let r(m) = -m**2 + 7*m - 5. Let q be r(4). Solve -q = -5*v + 18 for v. 5 Let i = -28 - -48. Let f = i + 11. Suppose -4*c - 3*l = -39, -2*l + 7*l = -c + f. Solve c*z = 2*z + 4 for z. 1 Suppose 3*s = 4*d + 5 - 20, -25 = 5*s. Solve 29*a - 32*a = d for a. 0 Let g(z) = -z**3 + z**2 + 5*z - 7. Let a(t) = -2*t**3 + t**2 + 9*t - 15. Let o(k) = 4*a(k) - 7*g(k). Let m be o(-4). Solve -2*l + 1 = -m for l. 1 Let f(j) = 53*j + 11. Let q be f(-3). Let b = 148 + q. Solve 5*v + 0 - 10 = b for v. 2 Let k = 8 + -5. Suppose 3*b + 780 = -3*b. Let h be 1/(-3) + b/(-30). Solve h = k*m - m for m. 2 Let k(u) = u**2 + 13*u + 15. Let f be k(-12). Suppose -f*h - h = i - 15, 5*i - 9 = 2*h. Let o be h/18 + 55/30. Solve -o*t + 6*t = 0 for t. 0 Let b(m) = -m**3 + 18*m**2 + 16*m + 17. Let c(g) = -g**2 - 1. Let h(o) = -b(o) - 2*c(o). Let k be h(17). Solve 4*q = -2 - k for q. -1 Let k = 8 + -11. Let m = 14 + k. Let x = 14 - m. Solve -x*n = -5 - 1 for n. 2 Let o(p) = -p + 16. Let q be o(16). Solve q*t + 6*t + 18 = 0 for t. -3 Suppose 0 = 11*g - 10*g + 4. Let p be (-57)/g + (6/(-8))/3. Solve 4*c = -p + 2 for c. -3 Let p be (-97)/(-8) + (-6 - 235/(-40)). Solve 17*g - p = -46 for g. -2 Let x(o) = -o**2 - 19*o - 74. Let z be x(-6). Solve -z*f + 1 = -5*f for f. -1 Let o(u) = 4*u - 42. Let i be o(9). Let a(z) = -z**3 - 9*z**2 - 19*z - 2. Let n be a(i). Solve n = -2*f - 6 for f. -5 Let f be (2/4)/((-5)/(-1490)). Suppose 3*z - 173 = -f. Solve 3*o - z = -o for o. 2 Suppose -9*h - 50 = -14*h. Suppose 0 = 4*l - 9*l + 2*t + h, -5*l + t + 5 = 0. Suppose l = -v + 8*v. Solve -2*q + 5 + 5 = v for q. 5 Suppose -9*u + 154 = 13*u. Solve -27 + u = 5*w for w. -4 Suppose 11*x - 150 = -4*x. Solve -x = 4*s + s for s. -2 Suppose -s = g + 3*s - 6, 4*g = -2*s - 18. Let l(r) be the first derivative of r**3/3 + 3*r**2/2 - 8*r + 2. Let z be l(g). Solve -5*h - z + 0 = 0 for h. -2 Let j = -1107 + 1242. Solve 2*g - j + 145 = 0 for g. -5 Suppose 6*f - 4*f = -2*j + 8, -2*j - 5*f - 7 = 0. Solve -5*u = -j*u - 16 for u. -4 Let h be 72/14 + 136/(-119). Suppose 3 = -3*z + 3*t, z + 5*t = -3*z + 5. Solve z = -j - h*j for j. 0 Suppose -6*q + 153 = 45. Let p be q/(-4)*(160/24)/(-10). Solve p*d + d - 20 = 0 for d. 5 Let s be (2/(-8))/(45/(-720)). Solve 0 = -4*r + 8*r - s for r. 1 Let k = 8 - -42. Let v = 53 - k. Solve 9 = 4*p - v for p. 3 Let p be 24/7*(-1)/(12/(-56)). Solve -p*q + 2*q = 0 for q. 0 Let g = -65 - -69. Suppose -g*o - 57 + 73 = 0. Solve -r + o = 2 for r. 2 Let n be (-1 + -74)*(-1)/3. Let z(m) = 3*m**2 + 83*m + 54. Let y be z(-27). Solve y = -3*t - 2*t - n for t. -5 Suppose 2*z = -d + 6*d - 23, -23 = -d + 5*z. Suppose -3*x + 3 = -2*x - 3*o, 0 = d*o. Solve -3*s = x + 12 for s. -5 Let u(o) = o + 11. Let x be u(-6). Suppose -4 = -4*g, 0*f - 4*f = -4*g + 4. Suppose 152*n - 150*n - 8 = f. Solve k + n = x*k for k. 1 Let p be ((-2)/(-4))/(4/48). Let o(d) = -3*d + 18. Let k be (-8)/(-36) - (-52)/9. Let r be o(k). Solve r = 2*w - p*w for w. 0 Let t(x) = x**3 - 10*x**2 + 24*x + 7. Let n be t(6). Solve 5*y - n*y = 4 for y. -2 Let k(w) = 0*w + 1 - 2*w**3 - 2*w**2 - 3*w**3 + w - 4*w**3. Let h be k(-1). Suppose 1 = -6*o + 2*o + 3*t, -t = 2*o - h. Solve -o = -p + 3*p for p. -1 Let u = -1552 + 1564. Solve -u*g - 11 - 1 = 0 for g. -1 Suppose 0 = r - 7 + 4, -3*r - 71 = -5*s. Suppose 0*z = -2*z + 32. Suppose 0 = 4*b - 2*k - z, s - 3 = 3*b - k. Solve -5 = -2*h + b for h. 5 Let a be 5*(1 - 2 - -2). Let w be ((-2)/3)/((-8)/24). Let s be (-10)/(-4) - (3 - 4)/2. Solve w*v + s = a*v for v. 1 Let g(a) = -a**3 - 8*a**2 - 18*a - 33. Let l be g(-6). Solve 0 = -l*y + 5*y for y. 0 Suppose 5*x - 3 = -4*i, -x - 5*i - 6 = 2*x. Suppose -q = x*q. Solve q*a + 2*a = 0 for a. 0 Let r(b) = -b**3 - 6*b**2 + 8*b + 9. Let a = 13 - 24. Let z(n) = n**3 + 11*n**2 + 2*n + 15. Let t be z(a). Let u be r(t). Solve u*i - 1 = 9 for i. 5 Let v(t) = t**3 + 9*t**2 + 14*t + 8. Let m be v(-7). Suppose -o = 3*l + 5, -1 = 3*l + m. Let k be (-4 - -3)*(1 - 1). Solve 4 + k = -o*n for n. -1 Suppose -103 = -4*d - 51. Solve -d*s + 8*s - 5 = 0 for s. -1 Let d(a) = -60*a**2 - a + 1. Let s be d(-1). Let g = 63 + s. Solve 12 = g*v - 2*v for v. 4 Let f(p) = p**3 + p**2 + p - 6. Let h be f(0). Let d be 3/1 - (-6)/h. Let s be ((-368)/(-24))/(d/3). Solve 0 = 3*z - 8 + s for z. -5 Let n = 0 + 2. Suppose n*t + 15 + 1 = 0. Let k = t + 12. Solve -1 = 5*f + k for f. -1 Let t = 214 - 212. Solve 0*j + t = j for j. 2 Let r = -1049 + 1058. Solve r*b = 12*b for b. 0 Let a be ((-2)/5)/(4 - (-21)/(-5)). Suppose 6 = 4*i + r + a, -12 = -2*i + 2*r. Solve 3*d + 20 = -i*d for d. -4 Let w be (-30)/4 + (-1)/2. Let m = 394 + -397. Let j be w/m*(-9)/(-6). Solve -16 = j*x + 4 for x. -5 Let m = -225 + 228. Solve -3*s = m + 9 for s. -4 Let p be ((-14)/28)/(1/(-42)). Solve 0 = 4*h - 21 + p for h. 0 Let t be 2 + (-2)/(-8)*0. Let u be (48/80)/((-2)/(-40)). Solve -t = 5*p - u for p. 2 Let f = -222 - -222. Let y be (-2)/(-3)*(-42)/(-2). Solve -5*s + y + 11 = f for s. 5
Three letters picked without replacement from {w: 2, e: 5, l: 1, v: 1}. Give prob of sequence ewv. 5/252 Three letters picked without replacement from {z: 2, i: 1, h: 3, p: 2, o: 6}. Give prob of sequence ooh. 15/364 Calculate prob of sequence tb when two letters picked without replacement from {b: 4, t: 2}. 4/15 What is prob of sequence as when two letters picked without replacement from jafbfjbjsbjj? 1/132 Four letters picked without replacement from qvvqctj. Give prob of sequence vjjj. 0 Three letters picked without replacement from uyubdeyeydle. Give prob of sequence eeu. 1/110 What is prob of sequence enn when three letters picked without replacement from nnesn? 1/10 What is prob of sequence yq when two letters picked without replacement from xfxydqxxyqxx? 1/33 What is prob of sequence xwwz when four letters picked without replacement from {w: 5, u: 2, x: 1, f: 2, r: 1, z: 2}? 1/429 Two letters picked without replacement from {s: 4, q: 2, x: 10}. What is prob of sequence xs? 1/6 Four letters picked without replacement from owwwwwwozyzzzzozw. What is prob of sequence zzzy? 1/476 Calculate prob of sequence hjh when three letters picked without replacement from hhjjhhjjjhjhhj. 7/52 Two letters picked without replacement from qqqwqqwcqq. Give prob of sequence qq. 7/15 Calculate prob of sequence eh when two letters picked without replacement from hihbiiiehb. 1/30 Calculate prob of sequence tvvx when four letters picked without replacement from qkktxqqvvqyk. 1/5940 Two letters picked without replacement from gwhmywh. What is prob of sequence yw? 1/21 What is prob of sequence om when two letters picked without replacement from moiiwigwomwmmi? 4/91 What is prob of sequence nn when two letters picked without replacement from ngtghgtng? 1/36 Calculate prob of sequence ppp when three letters picked without replacement from pcpp. 1/4 Two letters picked without replacement from {p: 3, m: 2, l: 10, n: 5}. Give prob of sequence nn. 1/19 Four letters picked without replacement from puuppp. Give prob of sequence uppp. 2/15 Two letters picked without replacement from {s: 1, v: 1, f: 1, l: 1, c: 2, j: 1}. Give prob of sequence sv. 1/42 Three letters picked without replacement from {m: 2, k: 1, p: 1, b: 1, j: 1, z: 2}. What is prob of sequence pkm? 1/168 What is prob of sequence mmm when three letters picked without replacement from mmmmmmmmm? 1 Calculate prob of sequence nnb when three letters picked without replacement from {n: 2, l: 1, b: 4, o: 1, j: 1, w: 11}. 1/855 Calculate prob of sequence ssr when three letters picked without replacement from ssrsssssrsrsssss. 39/280 Four letters picked without replacement from uuluuluuuu. What is prob of sequence lluu? 1/45 What is prob of sequence gb when two letters picked without replacement from {i: 3, g: 4, b: 2, q: 1}? 4/45 Two letters picked without replacement from {r: 1, o: 1, h: 1, w: 2}. Give prob of sequence rh. 1/20 What is prob of sequence qu when two letters picked without replacement from {b: 2, m: 1, e: 1, u: 2, o: 1, q: 2}? 1/18 Four letters picked without replacement from thihhpiiepiitti. Give prob of sequence tphh. 1/910 What is prob of sequence sj when two letters picked without replacement from kkywwwkkjsjkj? 1/52 Calculate prob of sequence ji when two letters picked without replacement from yuiyjuyyyujjyaj. 2/105 Three letters picked without replacement from {g: 7, i: 12}. What is prob of sequence iii? 220/969 Two letters picked without replacement from ooojoojonnjjj. Give prob of sequence nn. 1/78 Two letters picked without replacement from {c: 6, o: 10, k: 4}. What is prob of sequence co? 3/19 Calculate prob of sequence xoox when four letters picked without replacement from {o: 2, x: 2, c: 4, v: 4}. 1/2970 Four letters picked without replacement from {x: 3, a: 1, k: 1, l: 1, i: 1}. What is prob of sequence ilak? 1/840 What is prob of sequence gbo when three letters picked without replacement from gokkokkb? 1/168 What is prob of sequence amma when four letters picked without replacement from {o: 1, t: 6, a: 2, m: 9}? 1/510 Two letters picked without replacement from {f: 3, l: 1, g: 1, p: 5}. Give prob of sequence lg. 1/90 Four letters picked without replacement from oooooouoooouuu. Give prob of sequence ooou. 120/1001 Calculate prob of sequence asss when four letters picked without replacement from asasasaaaasasaaa. 11/728 Two letters picked without replacement from {e: 8, f: 5}. What is prob of sequence ee? 14/39 Calculate prob of sequence oww when three letters picked without replacement from {o: 3, w: 2}. 1/10 Three letters picked without replacement from {b: 1, l: 1, a: 2, w: 1, q: 1, r: 1}. Give prob of sequence wqr. 1/210 Three letters picked without replacement from vfmttxy. What is prob of sequence vyx? 1/210 Calculate prob of sequence ww when two letters picked without replacement from {x: 8, w: 2}. 1/45 What is prob of sequence cpc when three letters picked without replacement from ccpppppp? 1/28 Calculate prob of sequence gj when two letters picked without replacement from hjffvggfflflgffhg. 1/68 What is prob of sequence mm when two letters picked without replacement from {r: 4, n: 3, m: 4, s: 3, g: 3}? 3/68 Calculate prob of sequence vabb when four letters picked without replacement from vubjbjavvzbvbvv. 1/455 Two letters picked without replacement from ucxochcxxehhochoxo. Give prob of sequence eo. 2/153 What is prob of sequence zaza when four letters picked without replacement from {z: 10, r: 3, a: 2}? 1/182 Four letters picked without replacement from rrrrrrrrrrrrrrhrrrr. What is prob of sequence rrhr? 1/19 Two letters picked without replacement from xggzggggexezeezzexzx. Give prob of sequence xx. 3/95 Four letters picked without replacement from {y: 4, u: 7}. What is prob of sequence uuyu? 7/66 Calculate prob of sequence rg when two letters picked without replacement from gsrgrgsrggsgr. 2/13 What is prob of sequence zozo when four letters picked without replacement from zfzzzoof? 1/70 Two letters picked without replacement from {z: 7, u: 4, o: 3, c: 2, a: 1}. Give prob of sequence ca. 1/136 What is prob of sequence cn when two letters picked without replacement from {n: 6, c: 2, y: 3, a: 1}? 1/11 Four letters picked without replacement from noyodkakn. What is prob of sequence yyya? 0 What is prob of sequence rr when two letters picked without replacement from wwwrwwwrrww? 3/55 Calculate prob of sequence jfj when three letters picked without replacement from jrfj. 1/12 Calculate prob of sequence jj when two letters picked without replacement from jjjjjjjjjddjjjdjjj. 35/51 Three letters picked without replacement from ssmmmmmsmmmmmmmmmmsm. What is prob of sequence mss? 8/285 What is prob of sequence fkf when three letters picked without replacement from {j: 9, f: 3, k: 4}? 1/140 What is prob of sequence lool when four letters picked without replacement from {q: 3, k: 1, o: 2, l: 5, u: 1}? 1/297 Three letters picked without replacement from cylkzmymmkclmcl. Give prob of sequence cyk. 2/455 What is prob of sequence kek when three letters picked without replacement from {e: 2, d: 13, k: 5}? 1/171 What is prob of sequence cn when two letters picked without replacement from {c: 2, m: 2, i: 5, q: 4, n: 1}? 1/91 What is prob of sequence ftf when three letters picked without replacement from {w: 2, y: 2, f: 13, k: 1, t: 2}? 13/285 What is prob of sequence zuu when three letters picked without replacement from {z: 9, u: 3}? 9/220 What is prob of sequence ia when two letters picked without replacement from {i: 7, a: 2}? 7/36 Three letters picked without replacement from ifeaaja. Give prob of sequence fij. 1/210 Three letters picked without replacement from {p: 2, v: 2, t: 2, g: 3}. Give prob of sequence ggv. 1/42 Three letters picked without replacement from {a: 1, u: 3, v: 5, r: 3, s: 1, h: 2}. What is prob of sequence uhv? 1/91 Three letters picked without replacement from bbogggoboobsasdsa. Give prob of sequence gsd. 3/1360 Calculate prob of sequence yr when two letters picked without replacement from rrrhrkryf. 5/72 Calculate prob of sequence npxg when four letters picked without replacement from {x: 2, g: 8, o: 5, p: 1, n: 1, q: 3}. 2/14535 Four letters picked without replacement from vvmvmvvgvvvmgvv. Give prob of sequence vvgm. 3/182 Two letters picked without replacement from kkokxkskbkkkob. Give prob of sequence ox. 1/91 What is prob of sequence aaaa when four letters picked without replacement from aaaaaa? 1
How many minutes are there between 9:02 AM and 12:57 PM? 235 How many minutes are there between 10:24 PM and 1:17 AM? 173 How many minutes are there between 8:09 PM and 3:33 AM? 444 What is 700 minutes before 8:30 PM? 8:50 AM What is 462 minutes before 11:54 PM? 4:12 PM How many minutes are there between 7:41 PM and 3:09 AM? 448 What is 504 minutes after 8:18 PM? 4:42 AM What is 669 minutes after 7:33 PM? 6:42 AM How many minutes are there between 5:24 PM and 4:41 AM? 677 How many minutes are there between 6:53 PM and 9:39 PM? 166 What is 277 minutes before 9:53 PM? 5:16 PM What is 158 minutes before 6:47 AM? 4:09 AM How many minutes are there between 11:32 PM and 8:09 AM? 517 How many minutes are there between 2:47 PM and 8:32 PM? 345 What is 424 minutes after 3:32 AM? 10:36 AM What is 238 minutes before 8:38 AM? 4:40 AM What is 482 minutes before 12:32 AM? 4:30 PM How many minutes are there between 6:08 AM and 12:49 PM? 401 How many minutes are there between 1:15 AM and 1:48 AM? 33 How many minutes are there between 10:17 PM and 5:56 AM? 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485 What is 424 minutes after 9:24 AM? 4:28 PM What is 589 minutes after 6:54 PM? 4:43 AM How many minutes are there between 1:29 AM and 1:31 AM? 2 What is 20 minutes before 5:26 PM? 5:06 PM What is 662 minutes before 11:45 AM? 12:43 AM How many minutes are there between 4:57 PM and 1:55 AM? 538 What is 128 minutes after 1:23 AM? 3:31 AM How many minutes are there between 10:49 AM and 12:20 PM? 91 How many minutes are there between 11:07 AM and 7:53 PM? 526 What is 270 minutes before 1:06 AM? 8:36 PM What is 40 minutes after 10:48 PM? 11:28 PM What is 367 minutes after 7:50 PM? 1:57 AM How many minutes are there between 3:08 AM and 12:53 PM? 585 What is 704 minutes after 6:16 AM? 6:00 PM How many minutes are there between 3:10 AM and 11:34 AM? 504 How many minutes are there between 1:36 AM and 6:57 AM? 321 What is 6 minutes before 7:49 AM? 7:43 AM What is 691 minutes before 8:29 PM? 8:58 AM What is 296 minutes after 5:44 AM? 10:40 AM What is 526 minutes before 12:05 AM? 3:19 PM How many minutes are there between 7:19 AM and 9:29 AM? 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4:52 AM How many minutes are there between 11:26 AM and 6:45 PM? 439 How many minutes are there between 6:23 PM and 4:34 AM? 611 What is 33 minutes before 9:40 AM? 9:07 AM What is 408 minutes after 8:44 AM? 3:32 PM What is 525 minutes before 10:13 PM? 1:28 PM How many minutes are there between 10:33 PM and 5:34 AM? 421 What is 692 minutes after 6:31 PM? 6:03 AM How many minutes are there between 2:23 PM and 12:54 AM? 631 What is 552 minutes before 11:45 PM? 2:33 PM How many minutes are there between 10:53 AM and 10:18 PM? 685 How many minutes are there between 1:10 AM and 10:09 AM? 539 What is 587 minutes after 6:19 PM? 4:06 AM How many minutes are there between 6:40 AM and 11:19 AM? 279 How many minutes are there between 1:56 PM and 6:48 PM? 292 How many minutes are there between 1:54 AM and 11:10 AM? 556 How many minutes are there between 7:08 AM and 6:35 PM? 687 What is 97 minutes before 2:43 AM? 1:06 AM What is 605 minutes before 5:16 PM? 7:11 AM How many minutes are there between 6:54 AM and 11:06 AM? 252 What is 305 minutes before 8:54 PM? 3:49 PM What is 584 minutes after 1:52 AM? 11:36 AM How many minutes are there between 9:47 PM and 1:44 AM? 237 What is 176 minutes after 9:29 AM? 12:25 PM What is 672 minutes after 9:06 PM? 8:18 AM How many minutes are there between 3:07 PM and 4:44 PM? 97 What is 620 minutes before 7:53 AM? 9:33 PM How many minutes are there between 3:55 AM and 11:04 AM? 429 What is 564 minutes after 12:15 AM? 9:39 AM What is 488 minutes after 10:31 PM? 6:39 AM How many minutes are there between 12:04 AM and 5:19 AM? 315 How many minutes are there between 2:05 AM and 2:16 AM? 11 What is 322 minutes after 10:26 AM? 3:48 PM What is 317 minutes after 9:24 PM? 2:41 AM What is 700 minutes before 2:31 PM? 2:51 AM How many minutes are there between 7:13 PM and 11:13 PM? 240 How many minutes are there between 4:54 PM and 10:19 PM? 325 What is 173 minutes before 10:07 AM? 7:14 AM What is 474 minutes after 7:59 AM? 3:53 PM How many minutes are there between 4:17 PM and 9:38 PM? 321 What is 420 minutes after 11:53 AM? 6:53 PM How many minutes are there between 1:19 PM and 1:52 PM? 33 How many minutes are there between 5:13 PM and 10:30 PM? 317 How many minutes are there between 6:23 AM and 4:30 PM? 607 How many minutes are there between 2:46 PM and 9:31 PM? 405 How many minutes are there between 3:14 PM and 8:23 PM? 309 What is 250 minutes after 11:03 PM? 3:13 AM What is 526 minutes after 3:00 AM? 11:46 AM How many minutes are there between 11:12 AM and 1:41 PM? 149 What is 620 minutes after 1:33 PM? 11:53 PM How many minutes are there between 9:39 PM and 5:25 AM? 466 What is 505 minutes before 10:47 AM? 2:22 AM How many minutes are there between 11:36 PM and 8:48 AM? 552 What is 20 minutes before 5:52 PM? 5:32 PM What is 165 minutes before 10:07 AM? 7:22 AM What is 482 minutes before 6:19 AM? 10:17 PM What is 665 minutes before 12:05 PM? 1:00 AM What is 355 minutes after 7:29 AM? 1:24 PM What is 687 minutes after 8:36 AM? 8:03 PM What is 625 minutes after 2:23 PM? 12:48 AM What is 704 minutes before 6:38 AM? 6:54 PM How many minutes are there between 7:04 PM and 1:49 AM? 405 How many minutes are there between 8:31 AM and 2:45 PM? 374 How many minutes are there between 10:34 PM and 8:59 AM? 625 How many minutes are there between 9:19 AM and 5:19 PM? 480 What is 91 minutes before 1:57 PM? 12:26 PM How many minutes are there between 9:43 PM and 3:03 AM? 320 How many minutes are there between 11:08 PM and 8:50 AM? 582 What is 238 minutes before 9:23 PM? 5:25 PM What is 62 minutes after 5:15 AM? 6:17 AM How many minutes are there between 8:09 AM and 8:45 AM? 36 What is 687 minutes before 6:20 PM? 6:53 AM What is 313 minutes before 6:54 AM? 1:41 AM How many minutes are there between 4:45 PM and 4:15 AM? 690 How many minutes are there between 12:56 PM and 4:33 PM? 217 How many minutes are there between 10:23 AM and 3:02 PM? 279 What is 49 minutes before 11:19 AM? 10:30 AM What is 12 minutes after 5:40 AM? 5:52 AM How many minutes are there between 9:42 AM and 2:38 PM? 296 What is 254 minutes after 5:47 PM? 10:01 PM What is 386 minutes before 4:52 AM? 10:26 PM How many minutes are there between 2:04 AM and 1:58 PM? 714 How many minutes are there between 10:35 PM and 4:48 AM? 373 What is 576 minutes before 8:09 AM? 10:33 PM What is 11 minutes after 5:54 PM? 6:05 PM What is 77 minutes before 6:33 PM? 5:16 PM
What is 634 to the power of 1/3, to the nearest integer? 9 What is the cube root of 32346 to the nearest integer? 32 What is 1230 to the power of 1/2, to the nearest integer? 35 What is the fifth root of 3552 to the nearest integer? 5 What is 5056 to the power of 1/2, to the nearest integer? 71 What is the fourth root of 737 to the nearest integer? 5 What is the eighth root of 10396 to the nearest integer? 3 What is the square root of 487 to the nearest integer? 22 What is 1661 to the power of 1/8, to the nearest integer? 3 What is 340 to the power of 1/2, to the nearest integer? 18 What is 13551 to the power of 1/2, to the nearest integer? 116 What is 284 to the power of 1/5, to the nearest integer? 3 What is the third root of 259 to the nearest integer? 6 What is the eighth root of 175 to the nearest integer? 2 What is the third root of 981 to the nearest integer? 10 What is the seventh root of 8014 to the nearest integer? 4 What is 425 to the power of 1/8, to the nearest integer? 2 What is 3204 to the power of 1/3, to the nearest integer? 15 What is 1706 to the power of 1/2, to the nearest integer? 41 What is the square root of 729 to the nearest integer? 27 What is the square root of 3275 to the nearest integer? 57 What is the cube root of 1303 to the nearest integer? 11 What is 1892 to the power of 1/2, to the nearest integer? 43 What is the square root of 23455 to the nearest integer? 153 What is 9648 to the power of 1/3, to the nearest integer? 21 What is 831 to the power of 1/3, to the nearest integer? 9 What is the square root of 85870 to the nearest integer? 293 What is 19790 to the power of 1/4, to the nearest integer? 12 What is 30219 to the power of 1/7, to the nearest integer? 4 What is 17766 to the power of 1/4, to the nearest integer? 12 What is 1440 to the power of 1/6, to the nearest integer? 3 What is 526 to the power of 1/3, to the nearest integer? 8 What is the cube root of 29203 to the nearest integer? 31 What is 6047 to the power of 1/3, to the nearest integer? 18 What is the square root of 2283 to the nearest integer? 48 What is 607 to the power of 1/3, to the nearest integer? 8 What is 365 to the power of 1/2, to the nearest integer? 19 What is the third root of 856 to the nearest integer? 9 What is the square root of 6864 to the nearest integer? 83 What is the square root of 2621 to the nearest integer? 51 What is 8123 to the power of 1/2, to the nearest integer? 90 What is 10796 to the power of 1/7, to the nearest integer? 4 What is 3346 to the power of 1/10, to the nearest integer? 2 What is 2162 to the power of 1/2, to the nearest integer? 46 What is the square root of 76279 to the nearest integer? 276 What is 58596 to the power of 1/10, to the nearest integer? 3 What is the cube root of 160884 to the nearest integer? 54 What is the cube root of 915 to the nearest integer? 10 What is the square root of 98517 to the nearest integer? 314 What is 366 to the power of 1/10, to the nearest integer? 2 What is 637 to the power of 1/8, to the nearest integer? 2 What is the square root of 747 to the nearest integer? 27 What is 5288 to the power of 1/10, to the nearest integer? 2 What is the square root of 1241 to the nearest integer? 35 What is the seventh root of 6465 to the nearest integer? 4 What is the fourth root of 16247 to the nearest integer? 11 What is 82229 to the power of 1/8, to the nearest integer? 4 What is the square root of 25989 to the nearest integer? 161 What is the square root of 9167 to the nearest integer? 96 What is the third root of 2544 to the nearest integer? 14 What is the third root of 190 to the nearest integer? 6 What is 2090 to the power of 1/2, to the nearest integer? 46 What is the third root of 16799 to the nearest integer? 26 What is 1093 to the power of 1/3, to the nearest integer? 10 What is the sixth root of 32927 to the nearest integer? 6 What is the square root of 1269 to the nearest integer? 36 What is 34328 to the power of 1/6, to the nearest integer? 6 What is the third root of 18321 to the nearest integer? 26 What is the eighth root of 1415 to the nearest integer? 2 What is 1365 to the power of 1/4, to the nearest integer? 6 What is the square root of 1804 to the nearest integer? 42 What is the square root of 9774 to the nearest integer? 99 What is 1117 to the power of 1/3, to the nearest integer? 10 What is the third root of 1592 to the nearest integer? 12 What is the third root of 3243 to the nearest integer? 15 What is the ninth root of 38377 to the nearest integer? 3 What is the square root of 60206 to the nearest integer? 245 What is the eighth root of 62057 to the nearest integer? 4 What is 5743 to the power of 1/8, to the nearest integer? 3 What is 18348 to the power of 1/2, to the nearest integer? 135 What is the sixth root of 155970 to the nearest integer? 7 What is 405 to the power of 1/10, to the nearest integer? 2 What is the eighth root of 3084 to the nearest integer? 3 What is 7943 to the power of 1/3, to the nearest integer? 20 What is the third root of 78677 to the nearest integer? 43 What is 66895 to the power of 1/4, to the nearest integer? 16 What is 996 to the power of 1/2, to the nearest integer? 32 What is 1597 to the power of 1/3, to the nearest integer? 12 What is 4051 to the power of 1/2, to the nearest integer? 64 What is the square root of 2173 to the nearest integer? 47 What is 23125 to the power of 1/5, to the nearest integer? 7 What is the square root of 550 to the nearest integer? 23 What is the third root of 4017 to the nearest integer? 16 What is the ninth root of 5119 to the nearest integer? 3 What is the tenth root of 3773 to the nearest integer? 2 What is the square root of 7875 to the nearest integer? 89 What is the third root of 8782 to the nearest integer? 21 What is the third root of 4456 to the nearest integer? 16 What is 50580 to the power of 1/5, to the nearest integer? 9 What is the third root of 12807 to the nearest integer? 23 What is the third root of 4033 to the nearest integer? 16 What is the third root of 31557 to the nearest integer? 32 What is the third root of 4945 to the nearest integer? 17 What is 1498 to the power of 1/7, to the nearest integer? 3 What is the sixth root of 144 to the nearest integer? 2 What is 2579 to the power of 1/2, to the nearest integer? 51 What is the cube root of 414 to the nearest integer? 7 What is the third root of 74814 to the nearest integer? 42 What is the eighth root of 70691 to the nearest integer? 4 What is the square root of 25911 to the nearest integer? 161 What is the square root of 39204 to the nearest integer? 198 What is the square root of 98746 to the nearest integer? 314 What is the third root of 5141 to the nearest integer? 17 What is the tenth root of 76 to the nearest integer? 2 What is 53629 to the power of 1/2, to the nearest integer? 232 What is 24455 to the power of 1/6, to the nearest integer? 5 What is the square root of 13657 to the nearest integer? 117 What is 671 to the power of 1/2, to the nearest integer? 26 What is the third root of 35391 to the nearest integer? 33 What is the ninth root of 1623 to the nearest integer? 2 What is 25180 to the power of 1/4, to the nearest integer? 13 What is the cube root of 593 to the nearest integer? 8 What is the cube root of 2972 to the nearest integer? 14 What is the fourth root of 136599 to the nearest integer? 19 What is the square root of 1115 to the nearest integer? 33 What is 6689 to the power of 1/2, to the nearest integer? 82 What is 1256 to the power of 1/2, to the nearest integer? 35 What is 30228 to the power of 1/3, to the nearest integer? 31 What is 50 to the power of 1/2, to the nearest integer? 7 What is 3042 to the power of 1/8, to the nearest integer? 3 What is the third root of 3504 to the nearest integer? 15 What is the cube root of 185 to the nearest integer? 6 What is the third root of 6264 to the nearest integer? 18 What is 2873 to the power of 1/3, to the nearest integer? 14 What is the square root of 22506 to the nearest integer? 150 What is the cube root of 1469 to the nearest integer? 11 What is 3201 to the power of 1/2, to the nearest integer? 57 What is 544 to the power of 1/2, to the nearest integer? 23 What is the tenth root of 50991 to the nearest integer? 3 What is the square root of 1511 to the nearest integer? 39 What is 8672 to the power of 1/8, to the nearest integer? 3 What is 2378 to the power of 1/2, to the nearest integer? 49 What is the square root of 22354 to the nearest integer? 150
What is the o'th term of -305, -1168, -2593, -4580, -7129? -281*o**2 - 20*o - 4 What is the r'th term of 14, -107, -298, -565, -914, -1351, -1882, -2513? -r**3 - 29*r**2 - 27*r + 71 What is the p'th term of -44949, -44947, -44945, -44943, -44941, -44939? 2*p - 44951 What is the r'th term of -720, -5766, -19472, -46170, -90192? -722*r**3 + 2*r**2 + 2*r - 2 What is the u'th term of 856, 1722, 2588, 3454, 4320? 866*u - 10 What is the a'th term of -2010, -2524, -3382, -4584, -6130, -8020? -172*a**2 + 2*a - 1840 What is the i'th term of -83, 30, 129, 208, 261, 282? -i**3 - i**2 + 123*i - 204 What is the g'th term of 2063, 3472, 4881? 1409*g + 654 What is the m'th term of 11442, 22882, 34322, 45762, 57202? 11440*m + 2 What is the g'th term of 1580, 3114, 4648? 1534*g + 46 What is the v'th term of 206, 370, 520, 656, 778? -7*v**2 + 185*v + 28 What is the g'th term of 1520, 2778, 4026, 5258, 6468, 7650, 8798? -g**3 + g**2 + 1262*g + 258 What is the r'th term of -1962, -4200, -6438, -8676? -2238*r + 276 What is the n'th term of 1178, 1180, 1186, 1196, 1210? 2*n**2 - 4*n + 1180 What is the w'th term of -276, -1024, -2244, -3936, -6100, -8736, -11844? -236*w**2 - 40*w What is the y'th term of 54, 192, 422, 744? 46*y**2 + 8 What is the g'th term of 141, 249, 359, 471? g**2 + 105*g + 35 What is the n'th term of 1655, 3351, 5059, 6785, 8535, 10315? n**3 + 1689*n - 35 What is the l'th term of 291, 647, 1003, 1359? 356*l - 65 What is the x'th term of -23322, -23323, -23324, -23325? -x - 23321 What is the g'th term of 12415, 12419, 12427, 12439, 12455? 2*g**2 - 2*g + 12415 What is the o'th term of -309, -537, -783, -1041, -1305? o**3 - 15*o**2 - 190*o - 105 What is the q'th term of -187, -407, -643, -895, -1163? -8*q**2 - 196*q + 17 What is the g'th term of 781, 3057, 6831, 12103, 18873, 27141, 36907? 749*g**2 + 29*g + 3 What is the r'th term of 116141, 116133, 116123, 116111, 116097, 116081? -r**2 - 5*r + 116147 What is the p'th term of 2393, 3890, 5387? 1497*p + 896 What is the h'th term of 47935, 47961, 47987, 48013, 48039? 26*h + 47909 What is the z'th term of -146099, -146093, -146077, -146045, -145991, -145909, -145793? z**3 - z**2 + 2*z - 146101 What is the w'th term of -360, -734, -1120, -1518? -6*w**2 - 356*w + 2 What is the f'th term of 188705, 377408, 566111, 754814, 943517, 1132220? 188703*f + 2 What is the i'th term of -528, -799, -1070, -1341? -271*i - 257 What is the y'th term of -1415, -1293, -1175, -1061, -951? -2*y**2 + 128*y - 1541 What is the c'th term of 795, 3119, 6991, 12411, 19379, 27895, 37959? 774*c**2 + 2*c + 19 What is the j'th term of -258, -562, -866, -1170? -304*j + 46 What is the m'th term of -7, -6, 1, 14, 33? 3*m**2 - 8*m - 2 What is the y'th term of -29, -242, -595, -1088, -1721, -2494, -3407? -70*y**2 - 3*y + 44 What is the v'th term of -3311, -5639, -7967, -10295, -12623? -2328*v - 983 What is the v'th term of 35, 60, 73, 74, 63, 40? -6*v**2 + 43*v - 2 What is the u'th term of -120, -211, -322, -453, -604, -775? -10*u**2 - 61*u - 49 What is the z'th term of -14781, -15270, -15757, -16242, -16725, -17206? z**2 - 492*z - 14290 What is the q'th term of -16868, -33372, -49890, -66428, -82992, -99588, -116222, -132900? -q**3 - q**2 - 16494*q - 372 What is the b'th term of -9029, -9026, -9021, -9014, -9005, -8994, -8981? b**2 - 9030 What is the w'th term of -466277, -466280, -466285, -466292, -466301, -466312, -466325? -w**2 - 466276 What is the b'th term of -710424, -1420847, -2131270, -2841693? -710423*b - 1 What is the y'th term of 1677, 3520, 5363, 7206? 1843*y - 166 What is the y'th term of -21199, -21214, -21255, -21334, -21463? -2*y**3 - y**2 + 2*y - 21198 What is the y'th term of 71, 1, -173, -499, -1025, -1799, -2869, -4283? -8*y**3 - 4*y**2 - 2*y + 85 What is the x'th term of 2837, 2856, 2921, 3056, 3285, 3632, 4121, 4776? 4*x**3 - x**2 - 6*x + 2840 What is the x'th term of 324643, 324645, 324647, 324649, 324651? 2*x + 324641 What is the v'th term of 143, 797, 1899, 3449, 5447, 7893, 10787? 224*v**2 - 18*v - 63 What is the n'th term of -67, -530, -1771, -4180, -8147, -14062? -65*n**3 + n**2 - 11*n + 8 What is the o'th term of -3044, -3060, -3076, -3092? -16*o - 3028 What is the y'th term of 1842, 1828, 1788, 1710, 1582, 1392, 1128? -2*y**3 - y**2 + 3*y + 1842 What is the p'th term of 1856376, 3712752, 5569118, 7425468, 9281796, 11138096, 12994362, 14850588? -p**3 + p**2 + 1856380*p - 4 What is the t'th term of 14570, 14558, 14544, 14528? -t**2 - 9*t + 14580 What is the d'th term of 8358, 8367, 8376, 8379, 8370? -d**3 + 6*d**2 - 2*d + 8355 What is the m'th term of -529107, -1058222, -1587349, -2116494, -2645663, -3174862? -m**3 - 529108*m + 2 What is the v'th term of -9497082, -9497081, -9497080, -9497079? v - 9497083 What is the f'th term of 8073, 16203, 24405, 32685, 41049, 49503? f**3 + 30*f**2 + 8033*f + 9 What is the c'th term of -110, -285, -530, -845, -1230? -35*c**2 - 70*c - 5 What is the z'th term of -3023, -3064, -3105, -3146, -3187, -3228? -41*z - 2982 What is the y'th term of 320, 700, 1106, 1532, 1972, 2420, 2870? -y**3 + 19*y**2 + 330*y - 28 What is the f'th term of -246, -234, -176, -42, 198, 574? 5*f**3 - 7*f**2 - 2*f - 242 What is the x'th term of 17715, 35413, 53111? 17698*x + 17 What is the s'th term of 2793, 5540, 8287, 11034, 13781, 16528? 2747*s + 46 What is the m'th term of -226457, -226456, -226453, -226448, -226441? m**2 - 2*m - 226456 What is the a'th term of 94, -87, -578, -1535, -3114, -5471, -8762, -13143? -26*a**3 + a**2 - 2*a + 121 What is the v'th term of 19335, 38621, 57909, 77199, 96491? v**2 + 19283*v + 51 What is the k'th term of 22129, 22139, 22149? 10*k + 22119 What is the l'th term of -13, -37, -45, -13, 83, 267? 4*l**3 - 16*l**2 - 4*l + 3 What is the t'th term of 1586, 6307, 14176, 25193? 1574*t**2 - t + 13 What is the u'th term of 46, 105, 188, 307, 474, 701? 2*u**3 + 45*u - 1 What is the o'th term of 19593, 19790, 20325, 21366, 23081? 28*o**3 + o**2 - 2*o + 19566 What is the s'th term of 61029, 244158, 549381, 976704, 1526133? s**3 + 61041*s**2 - s - 12 What is the b'th term of 29271, 58540, 87809? 29269*b + 2 What is the g'th term of -4378, -4445, -4530, -4633, -4754, -4893, -5050? -9*g**2 - 40*g - 4329 What is the i'th term of 12605, 12596, 12595, 12608, 12641, 12700? i**3 - 2*i**2 - 10*i + 12616 What is the h'th term of 829, 1656, 2475, 3280, 4065? -h**3 + 2*h**2 + 828*h What is the d'th term of -498, -439, -324, -129, 170, 597, 1176? 4*d**3 + 4*d**2 + 19*d - 525 What is the x'th term of -143, -1066, -3573, -8456, -16507, -28518, -45281? -132*x**3 + x - 12 What is the c'th term of 0, -25, -80, -183, -352, -605, -960? -3*c**3 + 3*c**2 - 13*c + 13 What is the a'th term of -22245, -22249, -22255, -22263, -22273? -a**2 - a - 22243 What is the o'th term of 1205, 1308, 1413, 1520, 1629? o**2 + 100*o + 1104 What is the f'th term of 1019, 1130, 1241? 111*f + 908 What is the l'th term of 165426, 165427, 165428? l + 165425 What is the r'th term of 9237813, 9237811, 9237809, 9237807? -2*r + 9237815 What is the b'th term of 31223, 62449, 93673, 124895, 156115, 187333? -b**2 + 31229*b - 5 What is the i'th term of -8459, -33787, -76001, -135101, -211087, -303959, -413717? -8443*i**2 + i - 17 What is the g'th term of -8057, -8070, -8105, -8174, -8289? -2*g**3 + g**2 - 2*g - 8054 What is the a'th term of 12639, 12724, 12811, 12900? a**2 + 82*a + 12556 What is the z'th term of -11738, -11745, -11756, -11771, -11790, -11813, -11840? -2*z**2 - z - 11735 What is the a'th term of -14180, -14178, -14176, -14174, -14172? 2*a - 14182 What is the k'th term of -456, -1429, -2920, -4929, -7456? -259*k**2 - 196*k - 1 What is the q'th term of -468785, -468782, -468779, -468776, -468773, -468770? 3*q - 468788 What is the i'th term of -9547, -9568, -9589, -9610, -9631, -9652? -21*i - 9526 What is the s'th term of -282371, -282374, -282377, -282380, -282383, -282386? -3*s - 282368 What is the u'th term of 407, 440, 491, 560? 9*u**2 + 6*u + 392 What is the j'th term of -100579, -100584, -100591, -100600, -100611, -100624? -j**2 - 2*j - 100576 What is the x'th term of 718, 1358, 1984, 2596, 3194, 3778? -7*x**2 + 661*x + 64 What is the v'th term of 178, 265, 314, 319, 274? -v**3 - 13*v**2 + 133*v + 59 What is the d'th term of -31, 129, 415, 827? 63*d**2 - 29*d - 65 What is the z'th term of 237, 395, 547, 693? -3*z**2 + 167*z + 73 What is the v'th term of 168, 641, 1412, 2475, 3824, 5453, 7356, 9527? -v**3 + 155*v**2 + 15*v - 1
Let t(o) = 11*o + 19. Let g be t(7). Find the third derivative of -52*k**3 + 99 - 3*k**3 - 16*k**2 - g wrt k. -330 Let o(u) be the first derivative of 2418*u**5/5 + 2785*u**3/3 + 2633. Find the third derivative of o(i) wrt i. 58032*i What is the second derivative of 1231*q**2 + 1408 - 2*q**4 - 197*q**3 + 1211*q**2 + q - 2441*q**2 wrt q? -24*q**2 - 1182*q + 2 Let s(q) be the second derivative of 3*q**7/14 + 11*q**5/2 - q**3/2 - 373*q**2/2 + 1252*q. What is the second derivative of s(b) wrt b? 180*b**3 + 660*b Let r = 5845 - 922. What is the third derivative of r - 38*i**2 - 4921 - 72*i**2 + 137*i**4 wrt i? 3288*i Let v = -155 - -158. Find the third derivative of -34*r**3 + 50*r**4 - 41*r**2 - 22*r**2 + 34*r**v wrt r. 1200*r Let n = 205 - 203. Find the second derivative of 19*u + 36*u**2 - 98*u**2 + 39*u**2 + 34*u**n wrt u. 22 Let t(d) = -1757*d**3 - 414*d**2 + 7*d + 31. Let q(y) = -879*y**3 - 207*y**2 + 4*y + 18. Let p(l) = -7*q(l) + 4*t(l). Find the third derivative of p(g) wrt g. -5250 Find the first derivative of -705*w**2 + 349*w**2 + 369*w**2 - 1427 - 3004 - 31*w wrt w. 26*w - 31 Find the second derivative of 245 - 8*w - 2766*w**2 - 1972*w**2 - 42*w**2 wrt w. -9560 Let y be 18/21 - (-242)/77. Let u(i) be the second derivative of -y*i**2 - 5*i + 1/6*i**3 + 0. What is the derivative of u(q) wrt q? 1 Let i be 44/(-8)*(-2 - 4). Find the second derivative of 3*k**3 + i*k + 8*k**4 - 9*k**4 - 163*k + 2*k**4 wrt k. 12*k**2 + 18*k Let t(i) = 8*i**2 - 2*i - 50. Let h be t(10). Differentiate 397*s - h*s + 486*s + 198 with respect to s. 153 What is the derivative of -12*y**2 + 60*y**2 - 9*y + 3*y + 704 + 583 + 21*y**2 wrt y? 138*y - 6 Let j(v) = 1684*v**2 + 2473*v - 3. Let f(c) = -1684*c**2 - 2474*c + 4. Let k(y) = -3*f(y) - 4*j(y). What is the second derivative of k(g) wrt g? -3368 Let k(b) = -2832*b**2 - 472*b + 62. Let p(a) = -943*a**2 - 158*a + 20. Let l(f) = 2*k(f) - 7*p(f). What is the second derivative of l(m) wrt m? 1874 Let v be 5042/3 - ((-42)/18 - -2). What is the third derivative of 1681 + p**5 + 8*p**6 + 10*p + 3*p**2 + 61*p**6 - v wrt p? 8280*p**3 + 60*p**2 Let s(n) = -n**3 - 17*n**2 - 18*n - 30. Let m be s(-16). Let y be -1*-1*14/m. What is the second derivative of y*i**3 + 6*i**3 - 17*i - 34*i**3 + 46*i wrt i? -126*i Let x(g) be the third derivative of -206*g**5/5 + 695*g**4/24 + 2*g**2 + g + 1041. Find the second derivative of x(a) wrt a. -4944 Let c(n) = -n**2 + 11*n + 24. Let q be c(10). What is the derivative of q + 6*s**4 + 6*s**4 + 17 + 11*s**4 wrt s? 92*s**3 Suppose 4*a + 42 - 110 = 0. Suppose 4*r - 63 - a = 2*l, 5*r - l = 94. What is the derivative of -48*p**3 + 33*p**3 + 3 - r*p**3 wrt p? -99*p**2 Let s(z) = -2345*z**2 - 5135*z + 117. Let o(a) = 2346*a**2 + 5135*a - 104. Let g(l) = 9*o(l) + 8*s(l). What is the second derivative of g(p) wrt p? 4708 Let x(j) be the third derivative of -203*j**6/30 - 37*j**5/60 + 7*j**4/24 + j**3/3 + j**2 + j + 40. Find the third derivative of x(t) wrt t. -4872 Find the second derivative of -1445*i - 3949*i**2 - i**4 + 1838*i**2 + 2019*i**2 wrt i. -12*i**2 - 184 Let h(m) = 12 - 3*m**2 - 6*m - 1 + 4*m**2. Let d be h(7). What is the second derivative of 17*v**2 - d*v + 1 - 9 + 8 wrt v? 34 Let b(a) = a**3 + a**2 + 1. Let m(c) be the first derivative of -14*c**4 + c**3 + 6*c - 2. Let q(t) = -6*b(t) + m(t). Find the third derivative of q(y) wrt y. -372 Suppose -5*l = 7*u - 2*u - 90, 2*l = 4. What is the second derivative of -u*p + 1 - 32*p**4 + 182*p**4 + 12*p + 0 wrt p? 1800*p**2 Let z(v) be the second derivative of 9*v**4/2 - v**3 - 327*v**2/2 - 1756*v. Find the first derivative of z(k) wrt k. 108*k - 6 Let m(u) = 1191*u**2 + 4*u + 478. Let j(v) = 2384*v**2 + 10*v + 937. Let f(x) = 2*j(x) - 5*m(x). Find the first derivative of f(s) wrt s. -2374*s Let r(s) = 2*s**2 - 19*s + 26. Let k be r(8). Find the third derivative of -17*q**4 + 2*q**4 + 10*q**4 + 7*q**4 + 5*q**k wrt q. 48*q Let a(y) = 9 - 2*y**2 + y**2 - 63*y + 51*y. Let g be a(-12). Find the second derivative of -457*s**2 + 457*s**2 - g*s + 14*s**4 wrt s. 168*s**2 Let h(b) be the second derivative of 0*b**3 + 1/15*b**6 - 8/3*b**4 + 0*b**2 + 0*b**5 - 2 - 1/28*b**8 + 0*b**7 - 90*b. Find the third derivative of h(y) wrt y. -240*y**3 + 48*y Let w(m) be the third derivative of 0*m - 1/2*m**3 - 169/120*m**6 + 0 + 0*m**4 + 0*m**5 + 60*m**2. What is the first derivative of w(k) wrt k? -507*k**2 Let o(v) be the third derivative of v**7/30 - v**6/12 + 1237*v**4/24 - 2*v**2 - 11. Find the second derivative of o(g) wrt g. 84*g**2 - 60*g Let y(c) = 1040*c**5 - 3178*c**2 + 6*c + 6. Let w(l) = 2*l**5 + l**2 - 2*l - 2. Let m(a) = -3*w(a) - y(a). What is the third derivative of m(v) wrt v? -62760*v**2 Let l(s) = -s**5 + s**4 + s - 1. Let o(f) = -190*f**5 + 5*f**4 + 660*f**2 + 5*f - 5. Let d(w) = 5*l(w) - o(w). Find the third derivative of d(x) wrt x. 11100*x**2 Find the third derivative of 2562*o**6 + 8*o**2 + 4*o - 4*o - 1004*o**6 - 4 wrt o. 186960*o**3 Suppose i - 24 = 4*k, -3*i + 2*k + 132 = 5*k. Find the first derivative of -8*l + 8*l + 24*l**2 + i*l**2 + 71 wrt l. 128*l Let u(i) be the first derivative of 662*i**5 + 680*i**3/3 - 3*i + 2569. Find the third derivative of u(g) wrt g. 79440*g Let t(j) = 3*j - 11*j + 2*j - 13 + 11*j. Let k be t(3). What is the derivative of -6 + 17*u**4 - u**2 + u**k - 36*u**4 wrt u? -76*u**3 Find the second derivative of 1973*j - 412*j**4 - 1 + 62*j - 477*j + 2 - 686*j**4 wrt j. -13176*j**2 Let f(c) be the first derivative of -1315*c**4/4 + 1214*c**2 + 1976. What is the second derivative of f(r) wrt r? -7890*r Let q(p) be the first derivative of 1993*p**6/6 + 623*p**2 - p - 117. Find the second derivative of q(a) wrt a. 39860*a**3 Let w(o) be the first derivative of -837*o**5/5 + 940*o**3/3 + o**2/2 - 357. Find the third derivative of w(i) wrt i. -20088*i Let b(y) be the third derivative of -1/105*y**7 + 4*y + 0*y**4 - 19/15*y**6 + 0*y**5 + 24*y**2 + 0 - 122/3*y**3. Differentiate b(w) with respect to w. -8*w**3 - 456*w**2 What is the first derivative of -78*w - 2*w**4 + 0*w**4 - 14003 + 13885 wrt w? -8*w**3 - 78 Let p(r) be the first derivative of 1439*r**4/2 - 2*r**3/3 + 30*r**2 + 6*r + 2067. What is the third derivative of p(b) wrt b? 17268 Find the third derivative of -936*v - 17*v**2 + 295*v**5 + 1067*v**5 + 737*v + 1576*v**5 wrt v. 176280*v**2 Let s(n) be the second derivative of 0 - 19/12*n**4 - 5/56*n**8 + 0*n**7 + 0*n**2 + 0*n**6 + 0*n**5 + 10*n + 0*n**3. Find the third derivative of s(z) wrt z. -600*z**3 Let l(b) be the second derivative of -401*b**5/20 + 254*b**4/3 - 74*b. Find the third derivative of l(o) wrt o. -2406 Let g(n) = 1330*n - 1193. Let j(d) = -3988*d + 3564. Let k(o) = 17*g(o) + 6*j(o). What is the derivative of k(h) wrt h? -1318 Let s be (12 + (7 - (-488)/(-32)))/(1/4). Let q(h) be the second derivative of s*h + 0*h**3 - 10*h**2 + 0 - 7/6*h**4. Find the first derivative of q(u) wrt u. -28*u Suppose -3*x + 543 = 129. Let h = x + -134. What is the third derivative of 9*y**4 + 9*y + y**2 + 3*y**4 + 9*y**4 - h*y wrt y? 504*y Let c(s) = 2*s**2 + 25*s - 25. Let b be c(1). Find the third derivative of -2 + 24*d**2 + 91*d**3 + 105*d**3 - 289*d**3 + 3*d**b wrt d. -558 What is the second derivative of 33*d**4 - 22*d**4 - 25623*d + 75*d**4 + 24173*d wrt d? 1032*d**2 Suppose -x + 2*u = 2*x + 55, 2*u = -3*x - 47. Let o = 27 + x. Find the third derivative of -6*g**2 - 7*g**5 - 5*g**5 + o*g**5 wrt g. -120*g**2 Let r be ((-6)/(-40))/(27/135). Let y(t) be the second derivative of 0*t**3 + r*t**5 + 8*t + 0 - 1/4*t**4 + 0*t**2. Find the third derivative of y(n) wrt n. 90 What is the derivative of 4*n + 19*n + 11*n - 35*n - 1753 + 694 + 8560*n**2 wrt n? 17120*n - 1 Let t(o) = 818*o**3 - 818*o**3 + 17*o**4 + 4 + o**2 + 13*o. Let x(d) = -d**4 + d**2 + 2. Let b(q) = t(q) - 2*x(q). What is the third derivative of b(k) wrt k? 456*k What is the third derivative of 1522*w**2 + 1852*w**2 - 2*w**3 - 122*w**4 + 29*w**4 - 2 - 359*w**2 - 2591*w**4 wrt w? -64416*w - 12 Suppose -4*s = -3*i + 7, 2*i - s - 5 - 3 = 0. Suppose -2*r + i*m = -14, 0*r + 6 = 5*r + 2*m. Find the first derivative of -9*z**2 + 13*z**r - 3 + 9 wrt z. 8*z Let a = 5 + -3. What is the third derivative of 114*l**a + 19*l**5 + 5*l**4 - 86*l**2 - 2*l**4 wrt l? 1140*l**2 + 72*l Let o be (-70 - -1)*2*(-2)/6. Suppose 0 = z + 44 - o. Find the second derivative of 155*j - 319*j + 151*j + 2*j**z + 35*j**2 - j**3 wrt j. -6*j + 74
-3163443 (base 7) to base 6 -12132200 -459952 (base 12) to base 13 -300c0b What is -475baa (base 12) in base 11? -716703 1141204332 (base 5) to base 12 a92225 What is 100110101000100111110000 (base 2) in base 13? 2137b1b What is -405142 (base 7) in base 12? -33b3a What is 15130872 (base 9) in base 7? 120626042 Convert -75511 (base 9) to base 8. -141503 22010232233 (base 4) to base 3 11222011111222 Convert -559839 (base 11) to base 13. -2529b0 -22011120000 (base 3) to base 11 -aa889 What is 46758 (base 14) in base 6? 3402202 What is 22687 (base 16) in base 12? 69687 -103203201 (base 4) to base 7 -452343 1131330222 (base 4) to base 7 3161616 Convert 30311242 (base 5) to base 14. 651b6 -61798 (base 11) to base 9 -146565 -10402444 (base 5) to base 3 -11121211100 -8215a (base 14) to base 3 -120220111000 Convert 1111001010000011010 (base 2) to base 9. 836261 Convert -59133 (base 10) to base 16. -e6fd -537452 (base 8) to base 10 -180010 Convert 1212211001121 (base 3) to base 12. 402a07 1045232231 (base 6) to base 11 6511082 What is 41201341 (base 5) in base 7? 2562333 Convert 291707 (base 12) to base 13. 1b0937 -4572912 (base 10) to base 16 -45c6f0 Convert -111001001101111111 (base 2) to base 11. -1500a1 -21d6c (base 16) to base 2 -100001110101101100 Convert 2021122200000 (base 3) to base 9. 2248600 What is -28764 (base 12) in base 14? -16792 Convert -8d2ae2 (base 16) to base 13. -1bbbcc0 Convert 12001452 (base 7) to base 2. 100000010101001011001 What is -26125 (base 10) in base 14? -9741 Convert -2450342 (base 7) to base 2. -1001100110101010100 What is -2401343101 (base 5) in base 16? -53df4b -4464134 (base 7) to base 16 -872cc -ad898 (base 14) to base 5 -101442114 Convert -467689 (base 15) to base 8. -14656722 What is 4715154 (base 8) in base 15? 1a59cb Convert -1a649 (base 11) to base 10. -28730 What is -510343 (base 6) in base 14? -10995 -173526 (base 11) to base 7 -2164551 Convert -1220000200100 (base 3) to base 16. -f5328 Convert 57542 (base 12) to base 13. 41081 Convert -348d48 (base 14) to base 9. -3330667 What is 1101442331 (base 5) in base 15? 31d946 Convert -12001112021101 (base 3) to base 15. -38137d Convert -b26ae (base 16) to base 6. -23355154 What is -15333403 (base 10) in base 9? -31760424 What is 26446253 (base 7) in base 10? 2432006 What is 626302 (base 8) in base 16? 32cc2 -100570 (base 9) to base 8 -164175 Convert -226842 (base 13) to base 12. -3332a0 Convert -2848a (base 13) to base 7. -433040 Convert -623039 (base 11) to base 15. -14b2b8 -28a461b (base 12) to base 14 -112c355 -12123313003 (base 4) to base 2 -110011011110111000011 Convert -136714 (base 16) to base 10. -1271572 What is -e16237 (base 16) in base 15? -146b7b3 -4954 (base 12) to base 2 -10000001010000 What is -110012202002 (base 3) in base 7? -2020553 100011010110000111010 (base 2) to base 15 17d287 Convert 3213023323 (base 4) to base 14. 1a9147 What is 11311012332 (base 4) in base 2? 101110101000110111110 85c648 (base 13) to base 11 185562a Convert 1a0be0 (base 15) to base 11. 79699a What is -11001100110100000111000 (base 2) in base 11? -387437a Convert -1166777 (base 8) to base 6. -10531411 Convert -1015302 (base 7) to base 5. -12400124 Convert 53814 (base 11) to base 16. 13165 What is 210020121121101 (base 3) in base 14? 16dc85b What is 228013 (base 10) in base 8? 675255 Convert 1100111010100000101000 (base 2) to base 12. 1173174 What is 11110011011101001111010 (base 2) in base 8? 36335172 Convert 1053453 (base 6) to base 8. 151311 What is -1270606 (base 8) in base 10? -356742 -11043141 (base 5) to base 9 -156542 9762 (base 12) to base 5 1013014 What is -1588281 (base 10) in base 12? -647189 Convert 95224 (base 13) to base 4. 1001201302 What is 5051042 (base 6) in base 8? 724602 Convert -14de5 (base 16) to base 11. -59247 Convert 44603220 (base 7) to base 2. 1110110000000001111111 Convert -668b95 (base 12) to base 6. -54555505 -804322 (base 15) to base 16 -5ce9f7 What is -1333201 (base 6) in base 8? -221541 Convert -611703 (base 9) to base 14. -95da2 What is 8abc6 (base 13) in base 15? 4ec1e 4fad8 (base 16) to base 15 66a75 72261235 (base 8) to base 7 244002140 What is -151f7 (base 16) in base 5? -10232034 What is -193d9 (base 16) in base 7? -610262 Convert 2562643 (base 7) to base 6. 11101434 What is -3011215 (base 6) in base 4? -202203323 Convert 1001001011101110011 (base 2) to base 13. a6c74 100001021022120 (base 3) to base 14 8d2278 Convert 2055414 (base 11) to base 6. 205355213 -2240240 (base 5) to base 16 -9c86 What is -401423 (base 8) in base 14? -360a7 Convert -43ba25 (base 14) to base 7. -25352545 What is -177168 (base 10) in base 3? -100000000210 -32122203002 (base 4) to base 5 -1431410004 What is 110f7c (base 16) in base 11? 6a4033 What is 112310132 (base 4) in base 6? 2000422 2243555 (base 7) to base 9 465762 212102112212202 (base 3) to base 14 19214d9 Convert -29754 (base 14) to base 4. -121020332 What is 3613520 (base 8) in base 4? 3301131100 What is 13728b (base 15) in base 2? 11100100011000100000 -1406504 (base 8) to base 10 -396612 What is -51fa5 (base 16) in base 2? -1010001111110100101 Convert -690472 (base 12) to base 16. -19a396 -1760 (base 11) to base 16 -8c4 Convert 118989 (base 12) to base 11. 184a73 Convert 3c27c9 (base 14) to base 8. 7741335 What is -43240024 (base 5) in base 8? -1317013 511015 (base 6) to base 5 2243103 Convert 1e1a (base 15) to base 6. 50154 Convert -44033514 (base 6) to base 2. -101000000000101110110 Convert 2cd9c3 (base 16) to base 6. 143000003 86762 (base 11) to base 15 2751e 3113 (base 7) to base 3 1111022 -ba468a (base 12) to base 5 -1223434034 Convert -c61870 (base 13) to base 8. -21523772 Convert -101000010110100001 (base 2) to base 7. -1255604 Convert 6a93b (base 12) to base 13. 50150 What is -e5149 (base 16) in base 12? -393009 What is -404440435 (base 6) in base 10? -6941543 Convert 26af (base 16) to base 4. 2122233 -74775 (base 14) to base 4 -1010230103 Convert -2582836 (base 12) to base 6. -422153310 Convert -1100000000111010100 (base 2) to base 7. -3226524 Convert 1047456 (base 8) to base 9. 470353 Convert -12011221220 (base 3) to base 15. -20370 Convert -210001212021 (base 3) to base 10. -414700 What is 31240123 (base 6) in base 16? dd7f3 Convert -427a71 (base 11) to base 15. -d7a61 a5aa (base 11) to base 6 144551 What is -3acd5 (base 14) in base 8? -433513 10000110001101101 (base 2) to base 14 1b085 What is 5b4c0 (base 13) in base 6? 3332512 470776 (base 15) to base 3 20101102002110 Convert -1d6952 (base 14) to base 2. -100000001101100101100 What is -142340220 (base 6) in base 13? -7b387c Convert 221286 (base 9) to base 2. 100000010001011101 Convert -11353320 (base 6) to base 11. -224389 What is -110111022211012 (base 3) in base 15? -8b2452 -41ba6 (base 13) to base 14 -3123a Convert 183675 (base 9) to base 16. 1be66 -12105211 (base 6) to base 9 -642227 Convert -1010010010001001101101 (base 2) to base 4. -22102021231 Convert 12110412 (base 6) to base 11. 2413a2 Convert 203023332 (base 4) to base 12. 6b4a6 Convert 1023244033 (base 5) to base 8. 10205416 Convert 540084 (base 10) to base 4. 2003312310 Convert -5030511 (base 6) to base 13. -84061 What is -1737644 (base 8) in base 11? -317588 1e65d2 (base 16) to base 12 800a42 What is 10110002001 (base 3) in base 5? 4132402 -1e252d (base 15) to base 9 -2688667 What is -b99049 (base 12) in base 16? -2cd9f9 3351b8 (base 14) to base 3 10021112200002 Convert -11421202 (base 5) to base 16. -1a49d -41113142 (base 5) to base 9 -555738 -10101001001101100010 (base 2) to base 4 -2221031202 -24adb (base 16) to base 2 -100100101011011011 -afd9 (base 16) to base 9 -67668 Convert 2642230 (base 7) to base 13. c1978 What is -18606b (base 14) in base 13? -2422b6 -447227 (base 10) to base 12 -19698b Convert -101121102200 (base 3) to base 13. -74073 Convert -1003003 (base 10) to base 4. -3310313323 Convert 1111110010011101100 (base 2) to base 8. 1762354 Convert 136671 (base 9) to base 15. 19bc1 -59da (base 15) to base 6 -224241 -3441400 (base 6) to base 2 -101011000111101000 What is -6614 (base 14) in base 4? -10103322 Convert 211122212220 (base 3) to base 9. 748786 Convert -45384 (base 10) to base 8. -130510 What is 1ce137 (base 15) in base 6? 50152054 What is 10221001221 (base 3) in base 14? 20274 What is 460e1 (base 16) in base 9? 476547 -1342b4 (base 14) to base 9 -1222582 What is -22403632 (base 7) in base 11? -1112869 Convert 1313411 (base 7) to base 4. 221322320 -3012322203 (base 4) to base 13 -226b06 What is -110101000100010111 (base 2) in base 6? -4354155 13104200 (base 5) to base 2 11111011010100011 541125223 (base 6) to base 12 3259813
Suppose 3*m = p + 4 - 2, m - 2 = p. Let x be 1*(-4 + 5 + 0)/1. Solve -v + m = x, -5*v - 5 = -4*n for n. 0 Let v be (-20)/(-15) + 6/9. Let s(k) = 16*k**2 - k**3 - 27*k**2 - v*k + 10*k**2 + 3. Let g be s(0). Solve -i - g*o = 11, 2 - 7 = o for i. 4 Let w = -616 + 643. Solve 6*l = 9*l + 5*c - w, 0 = 2*c - 6 for l. 4 Let o be (-5)/(-4)*12/(-210)*-84. Solve a + 18 = -4*i, 9*a - o*a + 14 = -4*i for a. 2 Let d be (-17 + -6 + 24)/((-1)/(-8)). Solve 4*p = -2*o - d, 0 = -3*p - p - 3*o - 8 for p. -2 Let j(s) = s**3 + 44*s**2 - 43*s + 66. Let w be j(-45). Let r be (6/3 - 1)*w/(-3). Solve 2*l - r = -0*l - 3*k, -l + 3*k - 5 = 0 for l. 1 Suppose 3*u = -5*c + 17, -2*u + 10 = -2*c - 12. Suppose 0 = 16*o - u - 23. Solve 4*d + 9 = 5*g, -2*d - 1 = 3*g + o*d for g. 1 Suppose x - 3 + 0 = 0. Suppose 2*y + 2*y + 10 = -2*u, -16 = -4*u + 4*y. Let g be 5*(u + 6/(-10)). Solve -14 = 4*a + h, x*h + h + 2 = g*a for a. -3 Suppose 0 = 178*m - 181*m + 12. Solve 5*o - 4*y = -9, -m*o - 27 = -o + 3*y for o. -5 Suppose 0 = -2*s + 3 + 1. Suppose 8 = -s*n + 5*b, -2*n = -4*n - 2*b + 20. Suppose 12 = -2*y + n*y. Solve 0 = -c - y*a + 7, 4*c + 4*a - 18 = 2*a for c. 4 Suppose 2*w - 31 = -3*l, 5*l - 3*w - 56 = -2*w. Let k be 20/(38/(-76) + 4/((-20)/(-15))). Solve 2*v = -i + l, 4*i + k - 31 = -v for v. 3 Let o be 54 + (0/(-6) - 1) + 5. Suppose 7*j + o = 93. Solve i - 3*d = 12, j*i - 5*d - 30 = -0*i for i. 3 Let p be (10/(-10))/((-1)/2). Suppose k = -j, -p*j = j + 4*k + 4. Let a be 3/8*j*8/6. Solve 0*v = -a*m - 2*v + 10, -4*m - 25 = -5*v for m. 0 Let u(n) be the third derivative of n**4/8 - 5*n**3/3 + n**2. Let h = -1039 + 1043. Let i be u(h). Solve i*s - 5*q = -q + 16, -3*s + q = -14 for s. 4 Let c(k) be the first derivative of k**3/3 + 11*k**2/2 + 41*k - 70. Let u be c(-5). Solve -3*l - 2*l = 3*v - u, 0 = -3*l - 5*v + 13 for l. 1 Let w = 24887 + -24867. Solve -w*f = 5*m - 17*f + 8, f = -2*m - 4 for m. -4 Suppose s + 1 = 3. Let a be (64 - (-1 + 1)) + 74 + -76. Suppose -61*l = -a*l + 4. Solve y = -h - s, 3*h = -7*y + 3*y - l for y. 2 Let l = 11575 - 11571. Solve 5*s - l*o = -41, -5*s + 3*o - 51 = -14 for s. -5 Suppose -70*c = -67*c - 3*l - 33, -5*c - 3*l = -39. Solve 2*y + 5 = 5*y - 2*h, c = 3*y - 3*h for y. -1 Suppose y - 44 = 3*k, -2*y = k + 3*y - 12. Suppose -34*h + 31*h + 39 = 0. Let p = k + h. Solve p = 4*x - v + 1, -v = -5*v + 20 for x. 1 Let p be ((-326)/4)/((3 - 6)/6). Let t = 168 - p. Solve -t*q + 3*g = -3, 9*g - 20 = 4*g for q. 3 Suppose 3*a - 7*y + 2*y = -24, 4*a + 2*y = 20. Solve -a*o + 14 = 4*p, -p - o = -3*o - 6 for p. 4 Let p = -483 + 575. Let t be ((-23)/p)/((-1)/4) - 0. Let y(w) = -7*w**3 + w**2 + w. Let l be y(-1). Solve 2*x + 4 = 0, 0 = -4*v - 4*x + l + t for v. 4 Let d = -2 + 30. Let k = -25 + d. Let y be ((-6)/(-8))/(k/8). Solve 2*u - 4*g + y = 0, 0*u - u - 3*g + 14 = 0 for u. 5 Let u = 273 - 55. Let s = 218 - u. Solve 3*x = -s*f - 5*f - 40, 0 = 5*x - 4*f + 5 for x. -5 Let r(a) = a**2 + 33*a + 2. Suppose -2*u + 126 = -4*f, -102 = -5*f - u - 277. Let c be r(f). Solve -4*s - 5*n + c = 0, -8 = -2*s - 2*s + 2*n for s. 4 Suppose -28*w - 436 - 1468 = 0. Let z be -2 - w/11 - 52/286. Let l be 4/3 + 4/6. Solve z*a - 4 = 3*a - 3*r, 4*a - 16 = -l*r for a. 4 Let n = 759 + -755. Solve -n*h + 4*s - 4 = 0, -3*h = -h - 5*s + 11 for h. 2 Let l = 7 + -4. Suppose 0 = 4*q + 2*r + 448, -2*r = -3*q + 2*r - 336. Let f = q - -114. Solve -21 = 4*u + 5*d - 51, 0 = f*u + l*d - 16 for u. 5 Suppose -46*w - 3 = -y - 47*w, -29 = -5*y + 2*w. Solve 0 = 5*b + p - 25 + 11, y*b + 10 = 5*p for b. 2 Let d(m) = 3*m - 9. Let t be d(5). Suppose -2*p = t, -40 = -5*r + 2*p + 3*p. Let a be (-10)/(-4) - 12/(-24). Solve r*s = c + 11, 5*c + 2*s + 7 = a*s for c. -1 Suppose 4*t + 5*a - 115 = 0, -t + 4*t - 86 = -4*a. Let h be 1060/75 + (-4)/t. Let m be (-63)/18*(-16)/h. Solve 3*i + o + 5 = 0, 3*i = -o - m*o - 13 for i. -1 Suppose 3*f + 2*p - 580 = 0, -p = 3*f + 2*p - 582. Let s = -188 + f. Solve 5*d + 15 = 2*j, s*d - 3 = j - 15 for j. 0 Let a(p) = 17*p + 171. Let w be a(21). Let k = w - 508. Suppose 0 = -2*u + 5*x + 33, 2*x + 2*x + 36 = 4*u. Solve -h - u = 3*y, 0 = -5*h - y - 3*y - k for h. -4 Let s be 789/12 - (-2)/8. Suppose 3*y = s - 63. Solve d - 4 = 3*i, -1 - y = 2*i for d. 1 Let g be (16/(-3))/4*3. Let s be (-312)/(-84) - 1*g/14. Solve 0*b - b + s = -w, 6 = -3*w for b. 2 Suppose 16 = -5*w + 36. Let i(k) = 64*k - 3 - 4 - 58*k. Let a be i(2). Solve 0 = -s + 3*n + 4, a*s - 2 - 7 = w*n for s. 1 Let o(y) = -541*y + 266*y - y**2 + 269*y - 6. Let d be o(-3). Solve 4*x - x - 6 = -2*k, -d*k - 8 = -4*x for x. 2 Suppose 24*w + 25*w = 38*w. Suppose 5*q - 5*f = 50, 0 = q - w*q - 5*f - 10. Solve -5*i + 2*x = q, -x - 4*x = -5*i - 10 for i. -2 Let r(z) = 4*z**3 - z. Let l be r(1). Let a be (377 + 1 - 1) + 6/1. Let v = -379 + a. Solve v*s - s - 3*t = 3, -l = -s - t for s. 2 Suppose 0 = 18*s - 21*s. Suppose -4*i + d - 124 = s, 5*i + 4*d + 147 = 13. Let o be (0 + i/4)*(-4)/3. Solve 4*b - 3*b - c = -1, -o = -2*b - c for b. 3 Suppose -36*o - 20*o = -280. Let u be (-2 - (-7 + 10)) + o. Solve 3*x - l + 17 = u, -5*l = 3*x + x + 10 for x. -5 Let j be -3*(-16)/3 + -11 + 0. Solve 3*m - 12 = -j*x + 13, 5*m + 15 = 3*x for m. 0 Suppose 35*a + 61 - 446 = 0. Suppose 55 = a*d + 22. Solve -1 = -d*o - u, -6*u = -5*o - 5*u + 15 for o. 2 Suppose -10*o - 4*o + 224 = -n, -2*o + 3*n = -32. Solve -o*u + 12*u = 0, 0 = s - 2*u + 2 for s. -2 Let a be (18/63)/((-2)/(-35)). Solve -a*p = q, -3*p - 7 = -5*q - 35 for q. -5 Let f = 198 + -195. Let t be (-4)/18 - 399/27. Let o be f*2/(-3)*t/6. Solve 1 = 3*w + o*i + 16, 5*i + 15 = -2*w for w. 0 Let i(b) = 2*b - 33. Let x be i(17). Let t be -52 + (-2 - -1 - x)/(-2). Let p = t + 56. Solve 3*y = p*l - 3, 4*l + 1 = -4*y - 3 for y. -1 Let p = -67 + 69. Suppose -5 = h - 7. Suppose -3*o = -5*u + h*u + 15, 3*u + 5*o = -1. Solve 5*i + 8 = -p*v - 5, -u*i = -4*v + 13 for i. -3 Let d be (-1)/(-4) - 142/(-8). Let x(l) = -3*l - 7. Let z be x(-3). Suppose -2*u - 5*m = -9, z*u + u = 3*m + 3. Solve -i - u*f + d = f, -28 = -i - 5*f for i. 3 Let y(q) = -q**3 + 8*q**2 + 20*q - 6. Let r be y(10). Let f(c) = c. Let g be f(r). Let k = g - -10. Solve 5*x = k*m, -2*x + 2*m = -m for x. 0 Let s be (69 + -13)/14*4. Solve n - s = 5*a, a - 9 = 2*n - 14 for a. -3 Let d = -111 - -104. Let c be d - -1 - (20 - 29). Solve -15 = 2*y + 5*x, -2*y = y + c*x + 18 for y. -5 Let y = 720 - 1371. Let g = -647 - y. Solve -5*z + 5 = 3*u - 8*u, g*u - 8 = -2*z for u. 1 Let m be (-3 - -2)/((-2)/4). Suppose -19*y = -11*y - 7*y. Suppose 4*o - 4 = -3*p, 5*o + y*p = -5*p. Solve -m = 4*f + 5*q, q - o - 10 = 4*f for f. -3 Let h(c) = 4*c + 34. Let r be h(-8). Let v be (1/r)/(968/240 + -4). Solve -d + 4*x = -v, 4*d + 3*x - 3 = -0*d for d. 3 Suppose -k = -3*q + 3*k + 146, -3*q + 2*k = -142. Suppose 40*o - q*o = -120. Solve 5*w + 5*p = -o, -w + 2*p - 5*p = 2 for w. -5 Let o = 190 - 156. Let m = -18 + o. Solve -2*l = -4*x - m, 5*x + 3*l + 9 = -0 for x. -3 Suppose 18 + 22 - 14 = 2*n. Solve m + 1 = 12*x - n*x, -24 = 4*x - m for x. -5 Let a be (1 + 4)*(2 - (-2)/5). Suppose 3 = 3*d + 3*i, 6*i - 3*i = -a. Let q = -10 + 12. Solve -5*j = d*f + 40, -q*j - 3*f - 21 = -0*f for j. -3 Let m = -5700 - -5740. Solve 3*r - 12 = 0, -4*j - 163*r + m = -158*r for j. 5 Let o(z) = -z**3 - 5*z**2 + 5*z - 3. Let f be o(-6). Suppose -5*d - 5*h - 1 = -6, -f*h - 29 = -5*d. Solve 3*v - 22 = m - 8, 3*m = -d*v + 10 for m. -2 Let x(l) = -l**2 + 18*l - 15. Let w be x(13). Suppose 47*p - w*p = -12. Solve 0 = i + p*z + z - 19, 2*i = 2*z + 2 for i. 4 Let c be (2/8)/(6/72). Suppose r = -c*j + 1, -2*j = -4*j + 3*r + 19. Solve -2*f + 4*i = -6, -3*f + i + 2 = -j*f for f. 1 Let j(o) = o**2 + 4*o + 3. Let n be j(-3). Suppose 2*v - 4*g - 267 + 219 = 0, -24 = v + 2*g. Solve 0 = -v*s - 2*s + 6, f + 5*s - 12 = n for f. -3 Let b be (-5)/(-6*15/72). Let y be (-6 - -8)*(-10)/(-4). Solve 0 = b*u + y*c - 4*c - 4, -3*u + 4*c - 16 = 0 for u. 0 Suppose -5*a + 4*a = s + 40, 0 = 5*s - a + 218. Let g be (150/(-4))/((-12)/16). Let r = g + s. Solve r*x = 2*x + 2*z + 19, -5*x + 34 = 3*z for x. 5 Let j be 28/(-6) + (-28)/(-42). Let t be ((-1)/(-3))/(j/(-48)). Solve -t*m = -5*p, 0 = -0*p + p + 3*m - 19 for p. 4 Let r be -1*((-1)/2*8 - 16). Let t(m) = -4*m + 80. Let n be t(r). Solve 9 = -w - 4*j, 2*j = w - n*j - 9 for w. 3 Let s(n) = -17*n + 7*n + 9*n + 2. Let q(m) = -m - 10. Let t be q(-10). Let j be s(t). Solve -5*b + 25 = -5*d, d + j*b - 5 = -1 for d. -2 Let h(k) = 8*k**3 - k**2 + 3*k - 2. Let g be h(1). Suppose 5*b = -5*l + 30, 0*l - 2*l + g = b. Solve -4*x = -5*f - 10, 5*x - b = -f + 23 for f. 2
Expand 3 - 3 + 2*l + (-2 + 2 - 2)*(0*l + 2*l - 3*l) - 5*l + 6*l + l + 6. 6*l + 6 Expand -6 + 3*f + 4 + 0 - 3*f + 4*f - 3*f + 2*f - 2*f - f + (4 - 2 - 1)*(4 - 4 - f) - 215 + 8*f + 215. 7*f - 2 Expand (39*o + 3*o - 4*o)*((0 - 2 + 3)*(0*o + 0*o + 2*o) - 2*o + 7*o - 3*o - o + 0*o - o + (-2 + 1 + 2)*(-o - o - o)). -38*o**2 Expand (-d + 0*d - d)*(d - 2*d - d)*(-9 - 7 + 0*d**3 - d**3). -4*d**5 - 64*d**2 Expand (-5*d - 2*d + 4*d)*(0*d + d + 0*d)*(1 + 114*d + 2 - 113*d)*(0*d**2 + 4*d**2 - 2*d**2). -6*d**5 - 18*d**4 Expand 632*m**2 + 11*m - 632*m**2 + m**4 + (-2*m**2 + 0 + 0)*(-3*m**2 + 3*m**2 - m**2). 3*m**4 + 11*m Expand (-3 - 6 - 3)*((-v - 5*v + 0*v)*(4 - 5 + 2) + 2 - 2 + 3*v)*(-2 - 1 + 4). 36*v Expand -9*f**5 - 5*f**5 + 3*f**5 + (-1 + 1 + 2*f)*(8*f**4 + 3*f**4 - 2*f - 8*f**4). -5*f**5 - 4*f**2 Expand (-f - 8*f + 3*f)*(2*f - 2*f - f). 6*f**2 Expand (2 + 2*z - 2)*(46*z**4 + 45 - 45*z**4 + 20). 2*z**5 + 130*z Expand (117*f + 715*f + 312*f)*(-4 - 6*f + 3 + 2*f + 1). -4576*f**2 Expand (0 + 0 + 2)*(-36*s - 156*s + 2 - 1). -384*s + 2 Expand (0 + 1 + 1)*(2*y + 2*y - y) - 10*y + 9*y - 39*y. -34*y Expand (-5*t - 3 + 3)*(-1 - 4 + 1) + 8 - 8 - 10*t. 10*t Expand (6*l**3 + 3*l**3 + 7*l**3)*(-49 - 17 - 31). -1552*l**3 Expand -r**5 + 2*r**5 + 2*r**5 + (-r**4 + 2*r**4 + 0*r**4)*(-r + 2*r + 0*r) + (-34*r + 961 - 961)*(4*r - r**4 - 4*r). 38*r**5 Expand (-j - 4*j + 2*j)*(-4*j**2 + 2*j**2 + 5*j**2) + j + 1 + 3*j**3 - 4*j - 4*j**3. -10*j**3 - 3*j + 1 Expand (-2*g + 4*g - 4*g)*(g - g + 2*g) - 5*g**2 - 15 + 15 + 35*g - 35*g - 6*g**2 + (g + g - 3*g)*(-3*g + 3*g - 2*g). -13*g**2 Expand (1 + 1 + 0)*(-2*l - 2*l + l)*((-2*l**2 - 2*l**2 - 9*l**2)*(3*l**2 - 3*l**2 + 2*l**2) + l**4 - 4*l**4 + 0*l**4). 174*l**5 Expand (5*w**3 - 4*w**3 - 3*w**3)*(-2*w - w + w)*(48*w - 17*w - 742 - 32*w). -4*w**5 - 2968*w**4 Expand 2*w + 0*w - 3*w + (0 + 3 - 4)*(3*w - 4*w + 2*w) + (-5 + 5 - 1)*(1279 - 1279 - 398*w). 396*w Expand (-380 + 384 - 307)*(a + 2*a**3 - a). -606*a**3 Expand (-3*f + f + 0*f)*(-2 + 1 - 1) - 2*f + f - 3*f + (-1 + f + 1)*(-1 + 2 - 3) + (0 + 1 + 0)*(-f + 0*f + 0*f). -3*f Expand (-2*i**3 - 2*i**4 + 2*i**3)*(373*i + 328*i - 24*i - i). -1352*i**5 Expand q + q - 1 - 13 - 1 - q + 1 + (-3 + 6 - 2)*(-5*q + 18*q + 9*q). 23*q - 14 Expand (30*t**4 + 56*t**4 + 103*t**4)*(-2 - 2 + 2). -378*t**4 Expand ((6 - 6 + 3*l)*(2*l + 3 - 3) + 19*l**2 + l**2 + 6*l**2)*(1 + 3 - 1). 96*l**2 Expand (0*k - k + 2*k)*(1 - 3*k**2 - 1) - 562 + 281 - k - 10*k**2 + 279 - 3*k**3. -6*k**3 - 10*k**2 - k - 2 Expand (3*c - 2*c - 2*c)*(-15 - 21 + 50)*(-2 + 5 - 2)*(0 - 3 + 0). 42*c Expand (471 - 241 - 259)*(-5*a + 0*a + 3*a)*(-3*a + 2*a + 3*a). 116*a**2 Expand (3 - 3 - 2 + (1 - 1 - 2)*(3 + 3 - 1))*(-4*c - c + 3*c). 24*c Expand -s**5 + 4*s**5 - 5*s**5 + (s**2 - 4*s**2 + 2*s**2)*((-s + 2*s + s)*(0*s**2 - 3*s**2 + 0*s**2) + (s**2 - s + s)*(7*s + 115 - 115)). -3*s**5 Expand (0*r + 0*r - 2*r)*(-52*r - 302 + 302)*(4*r**3 - 6*r**3 + 8*r**3). 624*r**5 Expand (0 + 0 - 3*d**2)*(d**2 + 4*d**2 - 4*d**2)*(93*d - 14*d + 13*d). -276*d**5 Expand (h + 2 - 2)*(0 - 1 + 2)*(1 + 3 - 2)*(-55 + 108 - 55). -4*h Expand (10*n - 21*n - 14*n + (0 - 3 + 1)*(-2*n + n + 0*n))*(10 + 7 - 20 + 3*n**2 - n). -69*n**3 + 23*n**2 + 69*n Expand 0*d**5 - 4*d**5 + d**5 + (-4*d**4 + 9*d**4 + 12*d**4)*(-4*d - 2*d + 5*d). -20*d**5 Expand (-5*l**3 + l**3 + l**3 + (-3*l**2 + 2*l**2 + 0*l**2)*(2*l + 3 - 3))*(1 + 5 + 0). -30*l**3 Expand (-39*l - 27*l + 38*l)*(l**2 - 4*l**2 + 0*l**2) + (3 + 2*l**2 - 3)*(2*l - l + l) - 2*l**3 + 6*l**2 - 6*l**2. 86*l**3 Expand (-2*b + 3*b + 2*b)*((0 + 0 + 1)*(4 - 3 + 0) - 2 + 3 + 0)*(-10 - 6 - 6). -132*b Expand (-5 + 5 - 2*a)*(-170 - 20 - 2*a + 32). 4*a**2 + 316*a Expand (-214 - 11*w - 213 + 439)*(3*w**3 + 2*w**3 - 4*w**3). -11*w**4 + 12*w**3 Expand -273*f**3 - 7*f**3 - 11*f**3 + (-2*f + 2*f - 2*f**2)*(-f + 0*f + 0*f). -289*f**3 Expand (-c**2 + 0*c + 0*c)*(-11 - 6 - 10)*(0 + 1 + 1 + (1 - 2 - 1)*(-3 + 2 + 0) + 4 - 3 - 3). 54*c**2 Expand (24 - 15*l**2 - 37 + 10*l**2)*(4 - 4 + 2*l)*(8 - 2 + 3). -90*l**3 - 234*l Expand (-f**2 + 0*f**2 + 0*f**2)*(-2*f - f + f) + 2*f**3 - f**3 - 2*f**3 + (-2 - 1 - 1)*(2*f**3 + 2*f**3 - 6*f**3) - f**3 - 3*f**3 + 6*f**3. 11*f**3 Expand 2*f**5 - f**5 + 2*f**5 + (4 + 8 + 0)*(f**5 - f**5 + 3*f**5). 39*f**5 Expand (-o + 0 + 0)*(0 - 2 + 1) - 30*o + 36*o + 36*o + (-4 + 2 - 2)*(-2*o + 2*o + 2*o). 35*o Expand (-10*x + 77*x - 25*x)*(2*x + 0 + 0). 84*x**2 Expand 2*c**5 - c**5 + 3*c**5 + (-2*c**5 + c**5 + 3*c**5)*(-2 + 3 + 1) - 1 + 1 + 3*c**5 + 0*c**5 - c**5 + 4*c**5. 14*c**5 Expand (3*k + 7*k - 3*k)*(5*k - 10*k - 21*k). -182*k**2 Expand (1 - 1 - 2)*(0 - 1 + 4)*((4 - 2 - 3)*(-3 + 2 + 0) - 3 + 2 - 1 + 3 - 1 - 3 + 3 + 4 - 5 - 5 + 6 + 1)*(-1 + 3 + 0)*(-4*i + 0*i + 5*i). -24*i Expand (6*j - 4*j + j)*(6 + 0 + 0)*((-3 + 1 + 3)*(-1 + 1 + 1) + 1 + 2 - 1 + 2 - 1 + 2 + (-5 + 0 + 4)*(-2 + 1 + 0)). 126*j Expand (-634*p + 1161*p + 778*p)*(5 - 5 + 1)*(-p**3 + 0*p + 0*p). -1305*p**4 Expand (-3*n + n + 0*n)*(n**2 + n**3 - n**2) + (3 + n**2 - 3)*(-2*n**2 + 0 + 0) - 10*n**4 - 10*n**4 + 4*n**4. -20*n**4 Expand (4*n - n - 4*n)*(52*n + 73*n + 18*n)*(-2 + 1 + 0) + ((2 + 1 - 5)*(1 - 4 + 5) - 1 + 2 + 1)*(0*n**2 - 2*n**2 + n**2). 145*n**2 Expand (-a**4 - 4*a + 4*a)*(611 - 303 + 31*a - 305). -31*a**5 - 3*a**4 Expand (-y + 3*y - 3*y + (-1 + 3 - 1)*(-3 - y + 3) + y - y + y)*(-2 + 20 + 1)*(-5*y + y + 3*y). 19*y**2 Expand 2*s**2 - 4*s**2 + s**2 - 2*s**2 + 2*s**2 + 2*s**2 + (0*s + s + s)*(-4 + 4 + s) + 3 + 2*s**2 - 3 - 4*s + 4*s + 2*s**2 + (-8 + 8 + s**2)*(0 - 4 + 3). 6*s**2 Expand (2 - 3*t - 2)*(20*t + 33*t + 20 - 46*t). -21*t**2 - 60*t Expand (25*f - 340*f - 499*f)*(-f + 2*f - 3*f). 1628*f**2 Expand (7*f - f + 0*f)*(-4 + 2 + 3)*(-6*f**2 - 2 + 2). -36*f**3 Expand (3*u**3 + u**2 - u**2)*(-6 + 3*u**2 + 6) - 11*u**5 - 4 + 0 + 4*u**5. 2*u**5 - 4 Expand -3*m + 3*m - 2*m**4 + (2 - 5 + 4)*(m**4 - 2*m**4 - m**4) + (20*m + 241 - 241)*(5*m**3 + m**3 - 2*m**3). 76*m**4 Expand (4 + 6 - 2)*(1 + 2 - 1)*(-6*m - m + 3 + 0*m). -112*m + 48 Expand (0 - 6 + 5 - 6*b)*(18 + 17 - 9)*(b**2 + 3*b**2 - b**2). -468*b**3 - 78*b**2 Expand (5*q - 3*q - 3*q)*(-1 + 3 - 1)*(-q**2 - 4*q**2 + 3*q**2)*(-6*q**2 + q**2 + 3*q**2) + 0*q**5 + 4*q**5 + 4*q**5. 4*q**5 Expand ((-1 - 2 + 2)*(3 + 1 - 3) - 4 + 4 - 1 + 1 + 0 - 2 - 5 + 5 + 1 + (6 - 2 - 2)*(-3 + 3 - 1))*(49*v + 55*v - 85*v). -76*v Expand (-j**3 - j**3 + 0*j**3)*(-3 + j + 3) - 10*j**4 - 5*j**4 + j**4 + 2*j**3 - 2*j**3 + 2*j**4 + (0 + 0 - 2*j)*(j - j**3 - j). -12*j**4 Expand (8*l - 20*l + 117*l)*(-1 + 0 - 2). -315*l Expand (2*c**3 - 5*c**3 + 2*c**3)*(-c + 4*c - c) - 8*c**3 + 8*c**3 - 5*c**4 - 18*c**4 + c**4 + 2*c**2 - 2*c**2. -24*c**4 Expand -3*h**5 + 3*h**5 - 2*h**5 + 0*h**4 + h**5 + 0*h**4 + (-3*h**5 - h**4 + h**4)*(5 + 39 + 7). -154*h**5 Expand (-5*j + 5*j + j)*(-9*j - 4 + 4). -9*j**2 Expand (2*f**3 + 2*f**3 - 3*f**3)*(12 + 53 + 11). 76*f**3 Expand -3*a + 5*a + 0*a + (2 + 0 - 1 + 4 - 2 + 1 + 5 - 3 - 1 + (-4 + 4 + 1)*(0 - 2 + 1) + 1 - 1 - 2)*(0*a + 4*a - 2*a). 6*a Expand (-7*s - 2*s + 6*s + 3*s - 4*s - s + (3 + 2 - 7)*(0 + 0 + s))*(-1 + s + 1). -7*s**2 Expand (12*v**3 + 6*v**3 - 4*v**3)*(-1 + 4 - 5 + (3 - 1 + 0)*(-2 + 3 + 1) + 4 + 1 - 6). 14*v**3 Expand (7 + 28 - 10)*(-5 + 5 + 5*i)*(4 + 2*i - 4)*(2*i**2 - 2 + 2). 500*i**4 Expand (-2*m**2 + 2*m**2 + 2*m**4)*(-15*m - 21*m + 13*m) + (-m**3 + 0*m**3 + 4*m**3)*(0*m**2 + m**2 - 2*m**2). -49*m**5 Expand (2*a - a + 2*a)*(23*a**3 + 6*a**4 - 23*a**3) - 32*a**5 + 14*a**5 + 15*a**5. 15*a**5 Expand (0 + j**2 + 0)*(-2 + 2 + j)*(-30 - 13 - 48). -91*j**3 Expand (-2 - 1 + 7)*(30*d**4 - 36*d**4 + 0*d**5 - d**5 - 3). -4*d**5 - 24*d**4 - 12 Expand (b + b - 6*b)*(10*b + 13*b - 13*b)*(2*b + 2*b - 5*b). 40*b**3 Expand (-161 + 304 - 184)*(-2 + 1 - 4)*(-2*d**4 + 3*d - 3*d). -410*d**4 Expand (-3 + 4 - 2 + 4 - 2 - 3 + (-3 + 0 + 1)*(0 + 1 + 1) + 4 - 4 + 1 - 4 + 6 - 1 - 1 + 6 - 4)*(2*h - 1 + 1)*(-1 + 5 - 1)*(12 - 10 - 8). 108*h Expand (2*z - z**2 - 2*z)*(5 - 2 - 2) + 4*z**2 - 4*z**2 - 4*z**2 + 5*z**2 + 0*z**2 - 3*z**2 + 2*z**2 - 2*z**2 - 2*z**2 - z**2 + 6*z**2 - 2*z**2. -2*z**2 Expand (-13 - 13 + 19)*((-4*j**2 + 4*j**2 - 2*j**2)*(4 - 3 + 2) - 3*j**2 + 3*j**2 - j**2). 49*j**2 Expand (-5 + 1 + 1)*(-73*d - 60*d - 77*d). 630*d Expand -y + 3*y + y + (-3 - 2 + 4)*(-2*y + 7 - 7) + (3*y - 2*y - 2*y)*(0 + 4 - 3). 4*y Expand (-2 - 2 + 3 + 2 + 1 - 1 + (5 + 0 - 3)*(5 - 2 - 2) + (-6 + 4 + 1)*(6 - 5 + 5))*(12 - 12 - 30*c). 90*c Expand (31*u**4 - 46*u**2 + 3*u**3 + 44*u**2 - 35*u**4)*(1 + 1 + 2). -16*u**4 + 12*u**3 - 8*u**2
Suppose 5*f + 3*s = 28, 8*f - 12 = 6*f - 2*s. Solve -f*h = j - 26, h + 0*j - 10 = -5*j for h. 5 Suppose 12*p - 8*p = 4*n + 4, 20 = 2*p + 4*n. Solve p = u + 2*k, -9*u - k = -8*u - 3 for u. 2 Let n(y) = -18*y + 8. Let w be n(3). Let h = w + 51. Let z = h - 1. Solve -j = -3*d, -j - 18 = 3*d + z*j for d. -1 Suppose 31*u - 34*u - 3*m + 54 = 0, -3*u + 4*m = -47. Solve 0 = -2*z + 2, 4*z = 3*c + 6*z - u for c. 5 Let z = -288 - -454. Suppose 3*x - x - z = 0. Let u = -80 + x. Solve -5*w - 12 = u*p - 2*p, 0 = -4*p + w - 6 for p. -2 Suppose 25*i + 6 - 12 = 119. Solve -j + 12 = -4*z, z - 160 + 144 = i*j for j. -4 Let t be (2/(-5))/((-1)/7 - 252/(-5880)). Solve 3*a - t*k = 4, -18*a = -14*a + 3*k - 22 for a. 4 Let a be 13 + (-1)/3*3. Suppose 0 = -3*h + 7*h + a*h. Solve 4*g + x = -1, h*x - x = -3 for g. -1 Let o = 49 - 47. Suppose 3*l - 7 + 19 = 0, -24 = -4*n + o*l. Solve -a + n = -z, -5*a = -2*z + 3*z - 8 for a. 2 Suppose 2*d + 1 = n, n + 4*d - 11 - 2 = 0. Let g(y) = y - 4. Let h = -24 + 32. Let q be g(h). Solve q*m - 3*p - 11 = 0, 0 = n*m + 2*p + 5 - 13 for m. 2 Suppose 21 = 16*s - 35 - 8. Solve -3*c + 21 = 7*m - s*m, -5*m = -3*c - 19 for c. 2 Suppose 0 = 10*x - 4*x - 36. Let i(r) = -8*r**2 + 52*r - 20. Let w be i(x). Solve -2*u = 2*n - w, -n + 0*u = -4*u - 17 for n. 5 Suppose -4*c = 179 - 283. Suppose c = -8*g + 21*g. Solve s - 3 = -g, -2*u = 2*s - 8 for u. 3 Let m be (-6)/4 + (-90)/(-20). Suppose 25 = m*x + 5*c, -2*x - 3*c + 15 = x. Let j be (-19 + 18)/(3/(-15)). Solve 2*d = 4*l + 2 - 0, x = -5*d + 5*l + j for d. 1 Suppose -57*b - 124 + 940 + 495 = 0. Solve 5*j + 5*v = 25, -20*j - 4*v = -b*j - 6 for j. 2 Suppose -2*r = -k + 7 - 22, -5*r + 3*k + 40 = 0. Solve r*d - 23 = -3*i, 2*i - 5*d + 8 = -10 for i. 1 Suppose 95*d - 94*d = -4*o + 17, -3*d - o + 7 = 0. Suppose -d = 12*z - 193. Solve 6*k + 5*w = 2*k - z, 0 = 2*w for k. -4 Let d = 8 + -4. Suppose 5*b - 18*b = -2067. Let h = b - 156. Solve h*o = z + 12, -o = d*z + 2*o - 12 for z. 0 Let f(y) = -124*y + 3724. Let i be f(30). Solve -h - 5*v = -7, -6*v + i*v = -h for h. 2 Let p(o) = 28*o - 866. Let b be p(31). Solve 5*s = -7*r + 11*r - 7, 5*s + b*r - 11 = 0 for s. 1 Let t be (30*(1 - 4))/((-5)/(-40)). Let o = 725 + t. Solve o*s = 3*x + 2, -s = 2*x + 2*s - 5 for x. 1 Suppose 11*w - 3*w - 24 = 0. Suppose w*g + 4 = 46. Suppose -5*l = -6 - g. Solve -6 = -2*m + y + y, 0 = 5*m + l*y + 21 for m. -1 Let g(n) = 92*n**2 - 234*n**2 - n**3 + 83*n**2 + 87*n**2. Let i be g(28). Solve i = 5*y - 3*a - 16, -a - 5 = -3 for y. 2 Suppose -5*a - 25 = -3*m, -2*m + 10 = 2*a - 4*a. Let s be (-1 + -7)*6/(a + -1). Suppose -2*b + 4*b - s = 0. Solve w = y - 2*w - b, 5*y + w = 20 for y. 4 Let d = 841 + -838. Solve -10 = -3*c + d*u + 5, 15 = -c - 4*u for c. 1 Let g(k) = 11*k - 52. Let c be g(5). Suppose -2*o - c + 13 = 0. Solve -20 = o*p, 2*s + p = -2*s - 12 for s. -2 Let m = 3125 + -3112. Solve 0 = -3*q + 2*l + 20, -2*l = -8*q + m*q - 12 for q. 4 Suppose 27 = -5*u - 3*s + 67, -s - 10 = -3*u. Solve u*j = 13*c - 14*c - 4, 12 = -3*c - 5*j for c. -4 Let m = -188 - -189. Suppose -2*n - 21 = -4*u - 3*n, -u = -n + m. Solve g + 3*t + 15 = u*g, -g - 5*t - 25 = 0 for g. 0 Let t(n) = -40*n - 35. Let x be t(9). Let y = x - -397. Solve 5*v = -y*u - 12, v - 13 = -3*u - 5 for u. 4 Let y(w) = -2263*w + 2274. Let a be y(1). Solve g - 2*b = -a + 10, -5*g - b = 16 for g. -3 Suppose -k + 2*y + 6 = 0, -2*k - 2*y = -0*k + 6. Suppose k = v + 2*v - 264. Let q = -88 + v. Solve -5*j + 4*a - 33 = q, -3*a + a - 6 = 2*j for j. -5 Suppose 2*b + 0*b = -5*i, -2*i = -3*b + 19. Let m be (-3 + 9)/i + 7. Solve -m = 2*s + 2*r, 2*r + 2*r = 0 for s. -2 Let n = -5915 - -5917. Suppose 4 = -2*z + 10. Solve -l + 5*y = -z*l - 17, 4*l - 2*y - n = 0 for l. -1 Let v(b) = -4*b + 34. Let o = 18 + -11. Let p be v(o). Solve -2*m - n = 4, 6*n = 4*m + n - p for m. -1 Let f be -2 + -3 - 255/(-15). Suppose 0 = -f*m - 0*m + 24. Solve 2*p - h = -11, 4*p + m*h + 2 = -8 for p. -4 Let r(u) = -u**3 + 18*u**2 + 2*u - 39. Let m be r(18). Let k be m/((-27)/42)*30/7. Solve -5*g = 3*s + k, 7*g = 2*g - 20 for s. 0 Suppose 12 = 5*b - 2*d, -2*b - 13 = -6*b + 5*d. Suppose -2*h = -5*n - 21, -b*h + 7*h + n - 12 = 0. Solve -h*a + 21 = 3*v, 0 = a + 2*a + 2*v - 16 for a. 2 Let k = -8436 + 8440. Solve -k*x = 3*c - 16 + 39, 4*c - x + 18 = 0 for c. -5 Let q be (-2)/(-7) - (-110)/(-140)*-6. Solve 12 + 14 = l + q*f, 0 = 4*l + 4*f - 24 for l. 1 Let g(b) = 2*b**2 + 23*b - 74. Let u be g(-15). Suppose -90 = u*f - 49*f. Solve -5*k - 4*n = -k - 16, -3*k + f*n = 4 for k. 2 Let o(u) = -u + 6. Suppose w - 2*w = 8. Let t be o(w). Suppose 2 = 2*k + 3*x, 5*x - 877 + 871 = -4*k. Solve 0 = -q + 5*i + 5, i + t = k*q - 6 for q. 5 Let k = 15938 - 15934. Solve 16*g = -d + 19*g + 7, d + 14 = -k*g for d. -2 Let l be 15/(30/4)*130/20. Solve -k + 4*w = l, k + 4*w = 5 - 2 for k. -5 Let v(m) = 25*m - 459. Let s be v(19). Solve -4*n = -s, -5*i - 4*n - 3 = -34 for i. 3 Let b be ((-3 - 2) + 1)/(-2). Let r be 6/14 - (1 + 230/(-35)). Suppose -4*s - 31 = -5*a, -s - 19 = -2*a - r*s. Solve 5*v = 5*n - 35, -5*n - a = 5*v - b for n. 3 Let q(i) be the first derivative of -i**3/3 - 3*i**2/2 + 26*i + 74. Let s be q(-6). Solve 0 = -3*y - 3*k, k - 2*k = -3*y - s for y. -2 Let w = 2 - -1. Let i(b) = -13*b. Let f be i(-9). Let j = 119 - f. Solve -2*c + w + 5 = -4*q, -5*q + j*c = 11 for q. -3 Let x(i) = -9*i**3 - 49*i**2 + 8*i + 11. Let o be x(-7). Suppose -o = -50*n - 191. Solve -3*s + n = 0, 7*s - 2*s - 35 = -5*l for l. 4 Let q = 8 - 6. Let f = -38 + 42. Suppose 134*c - 145*c + 55 = 0. Solve 0 = -n - c*b - 23, f*b = 2*n + 3*b + q for n. -3 Let i = 4236 - 4234. Solve 4*j + w = 16, 11 = -j + 4*w - i for j. 3 Let f be (-13)/(546/(-432))*(-4 + 11). Let k be -5*(-192)/(-45)*3. Let m = k + f. Solve 2*p + 2*w = -2, 4*w - m = -0*p - p for p. -4 Let w = 19894 - 19891. Solve -k - 4*g = -14, -77*g + 73*g + 6 = -w*k for k. 2 Let v(q) = q**3 + 3*q**2 + 2*q + 2. Let c be v(-2). Let m(f) = -8*f + 26. Let w be m(9). Let p = -44 - w. Solve 5*b + 4 = 9, 5*n - p*b = -c for n. 0 Let d(g) = -g**3 - 65*g**2 + 2*g + 133. Let x be d(-65). Solve -z - x = 0, -3*i + 7*z - 12*z = 27 for i. -4 Let v be 1 + (5 - 0) - 44/(-4). Suppose -4*d = -v*d + 65. Solve 0*g - 2*g + 13 = d*f, 2 = 2*f for g. 4 Suppose -4 + 1 = -y. Suppose y*w + 9*w = 204. Solve w = -3*d - r, 2*d = 5*r + 8 + 9 for d. -4 Let s be (-1)/((-2)/4 - -3)*-70. Suppose 94*y = 87*y + s. Solve -3*h = l - 4, -8 = -h + y*l - 24 for h. 0 Suppose 0 = 10*z + 64 - 204. Solve -27 = -5*n - 0*n + 2*t, -t + z = 3*n for n. 5 Let r(l) = 2*l**2 + 28*l + 5. Let f be r(-14). Suppose d - 1 = f*h + 21, -10 = 3*d + 4*h. Solve 6 = -2*k + 2*p, -d*k - 3*p + 15 = 2*p for k. 0 Let a = -1102 + 585. Let m = 526 + a. Solve -3*k - 2*r + 14 = 0, 5*k + 7*r - m*r - 18 = 0 for k. 4 Let v = -5461 - -5463. Solve -24*k - 14 = -4*f - 19*k, 0 = -v*f - 4*k - 6 for f. 1 Suppose -5*h = -5*m + 715, 4*h = 9*h - 4*m + 711. Let v = 142 + h. Solve 4 = v*z - 4*y - 0, z = -2*y - 12 for z. -4 Suppose 2515*n - 2518*n + 78 = r, 5*r = 6*n + 285. Solve 64*s = 2*a + r*s - 11, 5*s + 23 = 2*a for a. 4 Let a(c) = -112*c + 1044. Let q be a(9). Solve 37*t + 20 = 3*h + q*t, 5 = -t for h. 5 Let c = 56 + -54. Suppose -c*v - 1 = -3*h + 29, 27 = h + 5*v. Let i be 18/42 + 64/14 + 2. Solve q = -4, f + i*q = 4*q - h for f. 0 Let w = -2240 + 2246. Solve -4*v - 3*t + 4 = -2*v, -w = 2*v - 2*t for v. -1 Let r = -1361 - -1380. Solve -21 = -5*i - 3*l, 7*i + 2*l = 2*i + r for i. 3 Let c be 84/7*(-9)/18 + 10. Solve -c*z + 5*q + 9 = 0, z - 3*z + 17 = -5*q for z. -4 Let g = 3057 + -3054. Solve 2*i = g*i + p + 1, 20 = -5*p for i. 3 Let p(r) = r**2 - 24*r - 371. Let g be p(-11). Solve -5*k + 3*j - j = 24, -3*j = 5*k + g for k. -4 Let d = 63 + -63. Suppose -29 + 10 = -4*w - 3*p, d = 4*w + 4*p - 24. Let n be (24 - 0) + -5*w/(-5). Solve 0 = -5*g - z - n, 0 = 2*g - 2*z + 3 - 5 for g. -4 Suppose 22*d + 551 = 41*d. Suppose -d*r = -28*r. Solve 4*z - 8 = 5*j + 7, r = 3*j - 4*z + 9 for j. -3 Suppose 77*f = -83*f + 28*f + 528. Solve -12 = -f*o, 3*l + 3*o - 5*o - 6 = 0 for l. 4 Let f = -16 + 19. Let a(j) = -j**3 + 10*j**2 - 9*j - 11. Let g be a(9). Let t = 16 + g. Solve -h - t*m = f*h, 2*h - 2*m + 18 = 0 for h. -5 Suppose -242*i = -182*i - 1440. Solve o = -5*g - 16, -27*g - 32 = -5*o - i*g for o. 4 Let h(y) = -y**2 - 170*y - 660. Let p be h(-4). Solve 5*m = -2*f + p*f - 2, 4*f + 6 = 5*m for f. -4 Suppose 4*d - 4*w + 16 = 0, 3*w - 14 = 4*d - 0*d. Let u be d/(-7) - 13816/(-154). Suppose -94*a = -u*a. Solve 0 = -b - z - 7 - a, 9 = b - 3*z for b. -3
What is the s'th term of -25522388, -102089547, -229701480, -408358187, -638059668, -918805923, -1250596952? -25522387*s**2 + 2*s - 3 What is the p'th term of -1770876, -3541766, -5312656, -7083546, -8854436? -1770890*p + 14 What is the t'th term of 129139, 127909, 126679, 125449? -1230*t + 130369 What is the l'th term of -39373, -77049, -114727, -152407, -190089? -l**2 - 37673*l - 1699 What is the v'th term of 8185, 8254, 8323, 8392, 8461? 69*v + 8116 What is the t'th term of 1461606, 1461613, 1461634, 1461675, 1461742? t**3 + t**2 - 3*t + 1461607 What is the t'th term of -368542, -737057, -1105572, -1474087, -1842602, -2211117? -368515*t - 27 What is the y'th term of 5004, 4766, 4528? -238*y + 5242 What is the q'th term of 386370, 386168, 385966? -202*q + 386572 What is the t'th term of -24914, -28730, -32546, -36362, -40178? -3816*t - 21098 What is the f'th term of 10588340, 21176680, 31765020, 42353360, 52941700? 10588340*f What is the h'th term of 1280, 1181, 1004, 713, 272, -355, -1204? -6*h**3 - 3*h**2 - 48*h + 1337 What is the d'th term of -1087, -4811, -11191, -20221, -31895, -46207, -63151, -82721? d**3 - 1334*d**2 + 271*d - 25 What is the c'th term of -14861, -119229, -402517, -954185, -1863693, -3220501, -5114069, -7633857? -14910*c**3 + 2*c + 47 What is the x'th term of 161193, 160939, 160685? -254*x + 161447 What is the c'th term of -46610, -186334, -419210, -745238, -1164418, -1676750, -2282234? -46576*c**2 + 4*c - 38 What is the u'th term of -75510, -151582, -227654, -303726? -76072*u + 562 What is the k'th term of 23124976, 46249943, 69374910, 92499877, 115624844? 23124967*k + 9 What is the w'th term of 1270, 9970, 33540, 79414, 155026, 267810, 425200, 634630? 1239*w**3 + w**2 + 24*w + 6 What is the x'th term of -431705712, -863411427, -1295117142? -431705715*x + 3 What is the x'th term of 21360, 43171, 64996, 86841, 108712, 130615? x**3 + x**2 + 21801*x - 443 What is the z'th term of -283182, -283130, -283046, -282930, -282782, -282602, -282390? 16*z**2 + 4*z - 283202 What is the r'th term of 2142, 2296, 2544, 2886, 3322, 3852? 47*r**2 + 13*r + 2082 What is the k'th term of -4683, 937, 6557, 12177, 17797? 5620*k - 10303 What is the i'th term of 30365961, 60731922, 91097883, 121463844? 30365961*i What is the u'th term of -163660, -326510, -489358, -652204, -815048? u**2 - 162853*u - 808 What is the i'th term of -1919, -7753, -17647, -31739, -50167? -23*i**3 - 1892*i**2 + 3*i - 7 What is the f'th term of 153018, 153106, 153194? 88*f + 152930 What is the y'th term of 2619, 5211, 7813, 10425, 13047, 15679? 5*y**2 + 2577*y + 37 What is the p'th term of -1597105, -3194182, -4791259, -6388336, -7985413? -1597077*p - 28 What is the q'th term of 2179214, 4358428, 6537642, 8716856? 2179214*q What is the m'th term of 323, 437, 611, 839, 1115? -m**3 + 36*m**2 + 13*m + 275 What is the l'th term of 124805, 124617, 124307, 123881, 123345, 122705, 121967, 121137? l**3 - 67*l**2 + 6*l + 124865 What is the c'th term of 857088, 857131, 857164, 857187, 857200, 857203, 857196? -5*c**2 + 58*c + 857035 What is the a'th term of 8112620, 16225240, 24337860, 32450480, 40563100? 8112620*a What is the b'th term of 472460, 1889831, 4252114, 7559309, 11811416, 17008435, 23150366? 472456*b**2 + 3*b + 1 What is the t'th term of 2608, 4502, 6400, 8302, 10208? 2*t**2 + 1888*t + 718 What is the k'th term of -9791, -38646, -86571, -153566, -239631? -9535*k**2 - 250*k - 6 What is the c'th term of 1062194, 1062192, 1062190? -2*c + 1062196 What is the b'th term of -1699938, -3399849, -5099760, -6799671, -8499582? -1699911*b - 27 What is the b'th term of -966753, -966659, -966487, -966225, -965861? 2*b**3 + 27*b**2 - b - 966781 What is the i'th term of -32421, -129734, -291899, -518898, -810713? 3*i**3 - 32444*i**2 - 2*i + 22 What is the a'th term of 1320, 2501, 3534, 4419, 5156? -74*a**2 + 1403*a - 9 What is the i'th term of -97, 896, 3753, 9458, 18995? 164*i**3 - 52*i**2 + i - 210 What is the g'th term of -32863, -131572, -296083, -526396? -32901*g**2 - 6*g + 44 What is the h'th term of 126482, 126480, 126486, 126500, 126522? 4*h**2 - 14*h + 126492 What is the i'th term of -4949, -4915, -4867, -4805, -4729? 7*i**2 + 13*i - 4969 What is the x'th term of 245798, 245838, 245878, 245918, 245958, 245998? 40*x + 245758 What is the n'th term of -4272, -2341, -424, 1473, 3344, 5183, 6984? -n**3 - n**2 + 1941*n - 6211 What is the s'th term of 106348, 212675, 319004, 425335, 531668, 638003? s**2 + 106324*s + 23 What is the v'th term of 1196579700, 1196579702, 1196579704, 1196579706, 1196579708, 1196579710? 2*v + 1196579698 What is the g'th term of 5153462, 20613914, 46381334, 82455722, 128837078, 185525402? 5153484*g**2 - 22 What is the q'th term of 99205, 99395, 99585? 190*q + 99015 What is the s'th term of -201031, -201029, -201027, -201025, -201023, -201021? 2*s - 201033 What is the w'th term of 3422, 5296, 8414, 12776, 18382? 622*w**2 + 8*w + 2792 What is the s'th term of -31356, -31400, -31440, -31476, -31508, -31536, -31560? 2*s**2 - 50*s - 31308 What is the l'th term of 776, 5872, 14420, 26420? 1726*l**2 - 82*l - 868 What is the o'th term of -16883, -65010, -145227, -257534? -16045*o**2 + 8*o - 846 What is the o'th term of 107822, 431234, 970250, 1724870? 107802*o**2 + 6*o + 14 What is the n'th term of 2634, 8204, 16726, 28206, 42650, 60064, 80454? n**3 + 1470*n**2 + 1153*n + 10 What is the k'th term of -1370028, -2740052, -4110078, -5480106, -6850136? -k**2 - 1370021*k - 6 What is the g'th term of 20362764, 20362761, 20362758, 20362755, 20362752, 20362749? -3*g + 20362767 What is the p'th term of 45836234, 91672473, 137508712, 183344951? 45836239*p - 5 What is the v'th term of -12257427, -24514853, -36772279, -49029705, -61287131? -12257426*v - 1 What is the i'th term of 20102671, 20102682, 20102689, 20102692, 20102691, 20102686? -2*i**2 + 17*i + 20102656 What is the u'th term of -5619, -28378, -51137, -73896? -22759*u + 17140 What is the k'th term of 657, 2199, 3713, 5199, 6657, 8087? -14*k**2 + 1584*k - 913 What is the k'th term of 1215, 1364, 1513, 1662? 149*k + 1066 What is the v'th term of -18110, -144919, -489132, -1159457, -2264602, -3913275, -6214184, -9276037? -18118*v**3 + 6*v**2 - v + 3 What is the r'th term of -224058, -896201, -2016424, -3584715, -5601062, -8065453, -10977876? 2*r**3 - 224052*r**2 - r - 7 What is the o'th term of -23947, -23505, -22759, -21703, -20331? o**3 + 146*o**2 - 3*o - 24091 What is the j'th term of 73403, 146787, 220157, 293507, 366831, 440123, 513377, 586587? -j**3 - j**2 + 73394*j + 11 What is the l'th term of -1330, -5563, -12696, -22735, -35686, -51555? -l**3 - 1444*l**2 + 106*l + 9 What is the v'th term of 3918020, 3918081, 3918142, 3918203? 61*v + 3917959 What is the o'th term of -251282, -502778, -754274, -1005770? -251496*o + 214 What is the i'th term of 8068, 32851, 74332, 132505, 207364? -i**3 + 8355*i**2 - 275*i - 11 What is the k'th term of -1399658, -2799347, -4199036? -1399689*k + 31 What is the u'th term of 3018, 8275, 16920, 28953, 44374? 1694*u**2 + 175*u + 1149 What is the v'th term of -11544662, -11544663, -11544664? -v - 11544661 What is the h'th term of -9003, -36096, -81233, -144396, -225567, -324728, -441861, -576948? 3*h**3 - 9040*h**2 + 6*h + 28 What is the j'th term of 51270, 102504, 153702, 204846, 255918, 306900, 357774? -3*j**3 + 51255*j + 18 What is the l'th term of -52491, -52817, -53157, -53511, -53879, -54261? -7*l**2 - 305*l - 52179 What is the k'th term of -38947, -156081, -351311, -624643, -976083, -1405637, -1913311, -2499111? -k**3 - 39042*k**2 - k + 97 What is the h'th term of -1254605, -1254541, -1254379, -1254071, -1253569, -1252825? 8*h**3 + h**2 + 5*h - 1254619 What is the b'th term of -10788, -5892, 7402, 33294, 75984, 139672, 228558? 700*b**3 - b**2 - b - 11486 What is the s'th term of -5128093, -5128106, -5128115, -5128120, -5128121, -5128118, -5128111? 2*s**2 - 19*s - 5128076 What is the b'th term of -1237, -5058, -11459, -20440, -32001, -46142? -1290*b**2 + 49*b + 4 What is the w'th term of 130541, 260884, 391227, 521570, 651913, 782256? 130343*w + 198 What is the y'th term of 118461382, 236922768, 355384154, 473845540, 592306926? 118461386*y - 4 What is the v'th term of -484619, -484659, -484725, -484817, -484935, -485079, -485249? -13*v**2 - v - 484605 What is the d'th term of 54461125, 54461121, 54461117, 54461113? -4*d + 54461129 What is the r'th term of 67887388, 67887387, 67887386? -r + 67887389
Let m = -16 + 20. Calculate the remainder when 39/4 - 2/(-8) is divided by m. 2 Let h(c) = -c**3 + 8*c**2 - 8*c + 10. What is the remainder when 9 is divided by h(7)? 0 Let k be (4/4)/(2/154). Suppose -x + 3 + 1 = 0. Suppose -4*c = -4*v + 100, 0 = 3*v - x*c + 3*c - k. What is the remainder when v is divided by 9? 8 Suppose 0*j - 95 = -5*j. What is the remainder when j is divided by 7? 5 Suppose 0 = 2*y + y - 102. Let k = y + -18. Suppose 0*x + 5*x - 30 = 0. Calculate the remainder when k is divided by x. 4 Let w(t) = -t - 1. Let s(l) = -l**2 - l - 5. Let z = 6 - 2. Let x(i) = z*w(i) - s(i). Calculate the remainder when x(6) is divided by 10. 9 Let f(m) = m**2 + 4*m + 5. Let h be f(-4). Let i(g) = 9*g - 5. Let q = -30 + 44. What is the remainder when i(h) is divided by q? 12 Let z = -33 - -54. What is the remainder when z is divided by 11? 10 Let g be (-4)/(-4)*(4 + 3). What is the remainder when (-1)/(((-28)/180)/g) is divided by 24? 21 Let s(l) = l**2 - 5*l + 6. Let c be s(5). Suppose -n + c = 2*n. What is the remainder when 49 is divided by (-1)/(n/(-4)) + 15? 15 Let r = -20 - -22. Suppose -3 = -5*h + 22. Calculate the remainder when h is divided by r. 1 Let i be -1 + 4 - (-2 + -2). Let p(j) = -j**3 + 9*j**2 - 9*j - 9. Let r be p(i). Suppose r = 4*x - 2*x. Calculate the remainder when x is divided by 5. 3 Let p(k) = -1. Let x(d) = -d + 12. Let i(n) = 2*p(n) + x(n). Calculate the remainder when i(-7) is divided by 6. 5 Suppose 2*g = -3*g - 4*t + 50, -t - 25 = -5*g. Calculate the remainder when (6/(-4))/(g/(-236)) is divided by 15. 14 Let f be ((-4)/(-6))/((-6)/(-81)). Suppose 0 = -5*g - 0*g - 2*p + 12, -f = -2*g - 5*p. Suppose 7*q = g*q + 220. Calculate the remainder when q is divided by 15. 14 Suppose f = 3, 2*a - f = -3*f + 34. Let x(n) = -n - 3. Let v be x(-8). Suppose -r - 2*r - 38 = -w, v*r + 46 = w. Calculate the remainder when w is divided by a. 12 Suppose -8*m - 1080 = -14*m. Calculate the remainder when m is divided by 61. 58 Suppose -p - 191 = 3*x - 0*x, 390 = -2*p - 2*x. Let l = -118 - p. What is the remainder when l is divided by 27? 25 Suppose -5*n - 4*a = 3, -4*a - 1 = 4*n + 3. What is the remainder when (-4)/(3 + (2 - 7)) is divided by n? 0 Suppose -104*v + 18 = -103*v. Suppose -2*t = 3*t + 165. Let j = -23 - t. What is the remainder when v is divided by j? 8 Suppose -3*z - 1 = -49. Let p = -151 + 157. Calculate the remainder when z is divided by p. 4 Let y(q) = -q**3 - 5*q**2 - 5*q - 5. Let a be y(-4). Let b be (a + (-2 - 6))/1. Let p = 1 - b. Calculate the remainder when p is divided by 4. 2 Suppose -w = -4 - 5. Suppose 2 = -10*a + 11*a. What is the remainder when ((-48)/w)/a*-12 is divided by 17? 15 Calculate the remainder when ((-80)/(-28))/((-2)/(-7)) is divided by 6. 4 Let u(d) = -5*d - 2. What is the remainder when u(-7) is divided by 17? 16 Let k(y) = y**2 + 2*y + 2. Let m be k(-2). Suppose -3*i = -i - m. Calculate the remainder when i is divided by (-4)/(-8) + 3/6. 0 Suppose x + x = 10. Let i be 1*(3 + -3 + 36). Suppose 0 = x*z - i - 84. Calculate the remainder when z is divided by 9. 6 Suppose -207 = -3*b + 3*d, -2*b - 2*d + 93 = -45. Calculate the remainder when b is divided by 18. 15 Suppose -j - 2*d + 7 = 1, 12 = 4*d. Suppose j*m = 2*m - 72. Calculate the remainder when m is divided by 19. 17 What is the remainder when (-13)/((-39)/(-8))*(-99)/4 is divided by 25? 16 Calculate the remainder when ((-111)/(-4))/(6/16) is divided by 19. 17 Suppose 9*a = u + 6*a - 5, -3*u - 2*a = -59. Suppose 117 + 143 = 4*o. Calculate the remainder when o is divided by u. 14 Let f(c) = -c**2 + 26. Let q be 16/6 + 10/(-15). Suppose y = q*y. What is the remainder when f(y) is divided by 14? 12 Suppose 4*w = 3*w + 7. Calculate the remainder when 20 is divided by w. 6 Let l = 192 - 175. Suppose -3*t - t = -264. Calculate the remainder when t is divided by l. 15 Let j = 0 + 4. Suppose -4*y - 61 = 23. Calculate the remainder when (1/3)/((-1)/y) is divided by j. 3 Let k = 25 + -15. Calculate the remainder when 157 is divided by k. 7 Suppose -12 = 4*c - 72. What is the remainder when 28 is divided by c? 13 Let d(s) = -s**2 + 9*s - 7. Let c(j) = 15*j**2 + 4*j + 3. Let b be c(-2). Suppose -b = -3*a - 16. What is the remainder when a is divided by d(7)? 6 Let d = -20 + 38. Let h = -13 + d. Calculate the remainder when h is divided by (-1)/((-1)/3 - 0). 2 Suppose -3*v + 2*h + 61 = 0, 3*v + 0*v = -h + 64. Suppose -5*p + 0*i = 3*i - 301, 0 = 4*i + 12. Calculate the remainder when p is divided by v. 20 Suppose 24 = -0*l - 4*l. Let o(f) = f + 7. Let s be o(l). Let v = 0 + s. Calculate the remainder when 2 is divided by v. 0 Let p(h) = 6*h**3 - 3*h**2 + 3*h - 1. Let w be p(2). Suppose -w - 51 = -2*t. Calculate the remainder when t is divided by 16. 14 Let y be (-32)/6*9/(-2). Let c be (y + 2)*(-3)/(-2). Let s = c + -16. Calculate the remainder when s is divided by 12. 11 Calculate the remainder when 24 is divided by ((-2)/(-4))/((-2)/(-36)). 6 Suppose 4*l - l - 205 = -4*m, 2*m - 3*l = 107. Calculate the remainder when m is divided by 11. 8 Suppose 0 = -j, -5*j = -5*u + 115 + 100. Let l(f) = f**2 + 15*f - 19. What is the remainder when u is divided by l(-17)? 13 Let u = -170 + 249. Suppose -14 = -3*v + u. What is the remainder when v is divided by 11? 9 Suppose -4*x - 14 = -2*y + 28, -3*y + 73 = 4*x. Suppose 0*c + 5*q - 1 = -c, 3 = 3*c - 4*q. Let a = 14 - c. What is the remainder when y is divided by a? 10 Let p(g) = g**3 + 7*g**2 + 9*g + 2. Calculate the remainder when 96 is divided by p(-4). 12 Let p = 5 + 0. Calculate the remainder when ((-2)/(-6))/(7/147) is divided by p. 2 Suppose 4*g + 16 = 4*k, 5*g = -3*k - 0*g + 36. What is the remainder when k is divided by 4? 3 Let q = 10 - 5. Suppose 5*s - u = 4*s - q, -3*s - 4*u + 20 = 0. What is the remainder when 2 is divided by 4/1 + -2 + s? 0 Let s(t) = 14*t**2 + 2*t + 2. Suppose n + 3*n + 4 = 0. What is the remainder when 25 is divided by s(n)? 11 Let z = -67 - -94. Suppose -7*n + 34 = -36. What is the remainder when z is divided by n? 7 Let o = 3 - 4. Let x(z) = -3*z**3 - 2*z - 1. Let h be x(o). Suppose -146 = -3*b - h*q, 4*b - q - 64 = 118. Calculate the remainder when b is divided by 16. 14 Let h = -11 - -22. Calculate the remainder when h is divided by 7. 4 Let s(k) = 2*k + 21. Suppose -j - 10 = 3*a, a - 4*a - 4 = 4*j. Calculate the remainder when s(-9) is divided by j. 1 Suppose -5*p + 164 = 2*t, 5*p - 135 - 27 = -t. What is the remainder when 61 is divided by p? 29 Calculate the remainder when 27 is divided by (-32)/(-176) + 216/22. 7 Let o = 47 - 8. Let z(x) = -2*x + 2. What is the remainder when o is divided by z(-6)? 11 Let q = 5 - -5. What is the remainder when 37 is divided by q? 7 Suppose x = -1 + 2. Let i = 14 + x. Calculate the remainder when 27 is divided by i. 12 Suppose -4*o = -34 - 30. Let a = o + 5. Calculate the remainder when a is divided by ((-11)/(-4))/((-2)/(-8)). 10 Let v(c) = -2*c - 1. Let o be v(-1). Suppose r + o = 7. Suppose 0 = 4*j - 4*g - 20, 0 = -j + g - r*g + 23. What is the remainder when 22 is divided by j? 6 Suppose -197 + 54 = -11*x. Calculate the remainder when 38 is divided by x. 12 Calculate the remainder when (5/((-20)/74))/(1/(-10)) is divided by 31. 30 Suppose 7 = t + 4*r, 0*t + 2*t = -r + 35. What is the remainder when t is divided by 12? 7 Let b(f) be the second derivative of 5*f**3/3 - f**2 + f. Suppose 4*m - 4 = -u, 4*m - 13 - 3 = -4*u. Calculate the remainder when b(u) is divided by 20. 18 Suppose 0*h = -2*v - 4*h + 68, -110 = -5*v + 2*h. Calculate the remainder when 117 is divided by v. 21 Suppose -53*i + 56*i = 108. What is the remainder when i is divided by 8? 4 Suppose -3*f - 31 = -2*c - 2*c, -5*f - 5*c - 40 = 0. Suppose 3*p = 10*p - 91. Let s = p + f. What is the remainder when 14 is divided by s? 2 Suppose 4*b - 5*b = 0. Suppose p - 2 + b = 0. Calculate the remainder when 25 is divided by 11 + -1 + (1 - p). 7 Suppose -2*m + 46 = -0*m. What is the remainder when m is divided by ((-24)/10)/(6/(-20))? 7 Let x(m) = -11*m - 70. What is the remainder when 8 is divided by x(-7)? 1 Calculate the remainder when 99 is divided by ((-10)/(-4))/(4/40). 24 Let m(t) = 2*t**2 + 1 + 9*t**3 + 0*t**2 + 3*t - 5*t. What is the remainder when m(1) is divided by 4? 2 What is the remainder when -1 + (-1)/(4/(-64)) is divided by 6? 3 Let v(c) = -c**2 + 7*c - 3. Let g be v(6). Suppose 5*m - g*m - 52 = 0. Let u(j) = -j**3 + j**2 - j + 14. What is the remainder when m is divided by u(0)? 12