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Suppose -9*y + 2*y = -112. Suppose o = -a + 13 - 5, -o = -3*a + y. What is the units digit of (-6)/(-36)*a*1*103? 3 Suppose -b = -18*b + 85. Suppose -b*y = -4*u + 1837, 5*y - 1181 = -3*u + 223. What is the units digit of u? 3 Suppose 3*k = 1874 - 332. Let t = k - 336. What is the hundreds digit of t? 1 Suppose 878*d - 6 = 875*d. Suppose 772 = d*z + 4*a, -z + 5*z + a = 1516. What is the hundreds digit of z? 3 Suppose -2*m = l - 3*m + 48, 2*l + m = -96. Let v = l + 52. Suppose -3*c = 4*o - 25, -c + 13 = v*o - 2*c. What is the units digit of o? 4 Let w(a) = -a**3 - 8*a**2 + 7*a - 22. Let k be w(-9). Let h be (-3)/(-12) + (-11)/k. What is the hundreds digit of h - (0*(4 + -3) + -228)? 2 Suppose -u - 2*u = 4*l + 8, -6 = 3*u + 3*l. Suppose u = -5*s - n - 1137, -2*n + 223 = s - 2*s. Let d = 335 + s. What is the tens digit of d? 0 Let g be 3105/8 - (497/(-56) - -9). Suppose -2*k + g = 2*v, -5*k + 492 + 494 = v. What is the tens digit of k? 9 Let s = -156 - -121. Let y = s + 46. What is the tens digit of (21 - y)*52/10? 5 Let m = -1053 + 1797. Suppose 3*z + 5*r = m + 776, -2*z + 980 = -5*r. What is the hundreds digit of z? 5 Suppose -7*z - 3*s + 812 = -3*z, 5*s - 20 = 0. What is the hundreds digit of (z/(-125))/(2/(-515))? 4 Let d = 151 + -331. Let x(o) = 42*o + 191. Let i be x(3). Let c = d + i. What is the units digit of c? 7 Let d be ((-30)/(-2))/(-5) + -14. Let f(k) = -k**3 - 15*k**2 + 9*k - 6. What is the tens digit of f(d)? 1 Suppose -644*x + 16033202 = -194*x - 6292648. What is the hundreds digit of x? 6 Let u = -276 - -280. Suppose 0 = -d + u*g + 159, -g - 95 = -2*d + 188. What is the tens digit of d? 3 Let i be ((-5)/(-3))/(16/(-24))*2. What is the hundreds digit of 3 - (-3 - (791 - i))? 8 Let v = -202 - -290. Let o = v - -30. What is the units digit of o? 8 Let s = -19 + 151. Suppose -4*p + 17 = 3*l, 2*l - 7*l + 5*p = -40. Suppose s = 2*b - l*x + 3*x, x - 81 = -b. What is the units digit of b? 6 Let v be 14*(498/18)/(2/(-3)). Let l = v + 844. Suppose -9*c + l = -331. What is the units digit of c? 6 Suppose -188*k - 18527 = -191*k + 7195. What is the thousands digit of k? 8 Suppose 5*s = i + 3320, 2*i + 2*i + 2672 = 4*s. What is the tens digit of (-3)/(-6 - s/(-111))? 1 Let x = 25644 + -4221. What is the tens digit of x? 2 Let x be (-30 - -60)*(-1)/(-4)*94. Let z = -1073 + x. Let g = -229 - z. What is the tens digit of g? 3 Suppose -19*r + 14*r + 70 = 0. Suppose r*j = 9*j + 1655. What is the tens digit of j? 3 Suppose -4*n = 5*v - 35, 0 = -3*v + 13*n - 9*n - 11. What is the hundreds digit of 1 + 1 + v - (-386 - 75)? 4 What is the tens digit of ((-2)/4)/(3/(-20502))? 1 Let u(v) = 326*v**2 - 61*v + 50. What is the thousands digit of u(-5)? 8 Let i(h) = 6*h**2 - h. Let r be i(1). Suppose -r*l + 44 = -4*o, 2*l = -o + 4*o + 33. What is the units digit of (-4)/22 - 761/o? 9 Suppose 0 = 133*q - 140*q + 39704. Suppose -2*d + 6*d = 4*f + q, -3*d + 4272 = 3*f. What is the thousands digit of d? 1 Let p = 6 + -6. Suppose p*z = z - 7. What is the units digit of z? 7 Let f = -1343 + 3704. What is the hundreds digit of f? 3 Let m = -6072 - -8865. What is the thousands digit of m? 2 Let n = 55 + -41. Let l(k) = -2*k**2 + 15*k + 1. Let g be l(n). Let p = -96 - g. What is the units digit of p? 5 Suppose -30831 = -17*k + 72206. What is the thousands digit of k? 6 Let f be 4057/7 - (120/35)/(-8). Suppose 765 = -579*b + f*b. What is the tens digit of b? 6 Suppose -8*s + 7*s = 4. Let q(p) = p**3 + 8*p**2 - 5*p - 9. What is the tens digit of q(s)? 7 Suppose 6*t - 245 = t. Let w = t - 45. Suppose 2*l = w*j + 202, 392 = 4*l + j - 30. What is the units digit of l? 5 Suppose c - 47597 = -n, -3*n + c + 142786 = 3*c. What is the hundreds digit of n? 5 Let z(r) = 236*r**2 + 40*r + 3. Let k be z(2). Let v = -729 + k. What is the hundreds digit of v? 2 Suppose 21*b - 37 = 47. Suppose -y = -4*v - 798, -b*y - 2*v + 2793 = -363. What is the tens digit of y? 9 What is the hundreds digit of 32/(16/(-4)) - -2166? 1 What is the thousands digit of (16464/(-7))/((-91)/14 - -6)? 4 Suppose p - 3*h = -0*h + 31, 5*h = 2*p - 61. Suppose f - 52 = 4*j, 0 = 2*f + 2*j - p - 46. Suppose -42*q + 74 = -f*q. What is the units digit of q? 7 Let h(t) = 11*t**2 + 96*t - 925. What is the thousands digit of h(10)? 1 Suppose 41*a + 2*a - 258 = 0. Suppose -i - 369 = -2*s, a*i - i = -2*s + 387. What is the hundreds digit of s? 1 Suppose 14 = -18*d - 58. What is the hundreds digit of (-2)/d - (19800/(-16))/9? 1 Let w(f) = 8*f**2 + 5*f - 6. Let t be w(1). Suppose -3*c - 5 = 2*b, -5*b + 2*c = t*c. Suppose -x + 4*m = -57, -m + 307 = b*x + m. What is the units digit of x? 1 Suppose -80399 = -11*n + 64915 - 45313. What is the hundreds digit of n? 0 Let i be (6/(-15))/(2/(-10)). Suppose i*u - u + 2*o = 42, -5*u + 3*o + 275 = 0. Let w = 252 - u. What is the tens digit of w? 0 Let g(k) = k**2 + 10*k - 8. Suppose 40 = -6*x - 26. Let w be g(x). Suppose v = -w*b - v + 107, 4*b - 4*v = 176. What is the units digit of b? 9 What is the tens digit of (10 + -5 - 4)/((-6)/(-11802))? 6 Suppose -4*k - 2340 = 4*c, 5*c + 1756 = -3*k + 3*c. Let r = k - -1045. What is the hundreds digit of r? 4 Suppose -3*w - 5*y + 37 = 0, -4*y - 111 = -2*w - 3*w. Suppose -w = 6*r - 7. What is the units digit of 59*(1 + 2 + r)? 9 Let p(x) = 52*x + 34 + 48*x**2 - x**3 - 24*x**2 - 16*x. What is the units digit of p(25)? 9 Let o(d) = -d**3 + 4*d**2 + 18*d - 26. Let f be o(6). Suppose 22*b - f*b = 3624. What is the units digit of b? 2 Let w = 9913 + -3513. What is the tens digit of w? 0 Let n = 25 + -21. Suppose n*b + 7 = -3*o, b - o + 18 = -5*o. What is the tens digit of (36/(2 + b))/(3/34)? 0 Let v(p) = 42*p**2 - 82*p - 1011. What is the tens digit of v(-16)? 5 What is the tens digit of (260890/(-112)*(-2)/(-5))/((-3)/48)? 0 Let x be (-9)/(-2) - ((-105)/(-10))/7. Suppose x*n - 599 = 2263. What is the units digit of n? 4 Let w(p) = -p**2 - 4*p + 4. Let f = 60 + -65. Let o be w(f). What is the hundreds digit of 2/(((-278)/(-274) + o)*1)? 1 What is the tens digit of 6/(-5) + ((-1036)/50)/((-5)/175)? 2 Suppose 21*f - 142947 = 72471. Suppose -33*h + 10*h = -f. What is the hundreds digit of h? 4 Let l be 106 - (-2 + (-2)/(-1)). Suppose -l*t = -108*t + 3212. What is the units digit of t? 6 Let a = 0 - -7. Suppose -78 = 34*x - 40*x. Suppose x*z - a*z - 1074 = 0. What is the hundreds digit of z? 1 Let i(n) = n**2 - 8*n + 22. Suppose 5 = w - 4*s - 4, -5*w = 5*s - 20. Let z be i(w). Suppose 3*a + 96 = z*a. What is the tens digit of a? 2 What is the hundreds digit of (-13719)/48*-4 + 1/(-4)? 1 Suppose -j = -5*w + 47 - 217, -120 = 3*w + 3*j. Let q = -33 - w. Suppose -q*d = 2*d - 904. What is the tens digit of d? 2 Let n = -202 + 174. Let g(j) = j**2 - 22*j - 61. What is the thousands digit of g(n)? 1 Let s be (10/(-10))/(-1 + (-5)/(-4)). Let k be -83*(-2 - (-12)/s). Suppose 5*p - 395 - k = 0. What is the hundreds digit of p? 1 Suppose -5*i - 14 = -2*m, -9 = -0*m - m + 3*i. Let w be (-24)/(-8) - -27*(2 - m). Suppose -w - 382 = -5*x. What is the tens digit of x? 0 Suppose 28*f + 2142 + 826 = 0. What is the hundreds digit of (-4)/(213/f + 2)? 4 Let s be (-473)/44 + 11 + (-195)/(-4). Let a = s + 858. What is the tens digit of a? 0 Suppose -7*p + 47 - 19 = 0. Suppose -2*w + i = 3 - 68, 0 = 4*i - p. Suppose o - w + 8 = 0. What is the tens digit of o? 2 Let o = -1008 - -2928. What is the tens digit of o? 2 Let l(k) = -68*k - 263. What is the hundreds digit of l(-6)? 1 Suppose 4*l - 52350 = -2*p, 5*p + 3*l = 10*l + 130722. What is the thousands digit of p? 6 Let k(c) be the second derivative of -6*c**3 + 41*c**2/2 - 15*c + 1. What is the tens digit of k(-18)? 8 What is the hundreds digit of ((-6)/(-3)*-1)/7 - (-1675197)/119? 0 What is the thousands digit of -1 + (-1 - -11)*6/10 + 3227? 3 Let s(f) = 8*f - 37. Let m(k) = 4*k - 3. Let j be m(2). Let l be s(j). Suppose 2*z = 4*a - 274, 8*z = 3*a + l*z - 202. What is the units digit of a? 9 Let o be (3/(-1))/((-3)/7). Suppose -2 = 3*b + o. What is the units digit of (-12)/(-9)*b - -44? 0 Suppose -145627 = -24*i - 19003. What is the units digit of i? 6 Let q be 2 + -2*1 - (16 - -498). Let o = q - -720. Suppose -6*g + 1022 = o. What is the units digit of g? 6 Let x = 140360 + -71713. What is the hundreds digit of x? 6 Suppose -z + 0 = 10. Let h be (-40)/(-16)*((-18)/z + -1). What is the tens digit of (-2313)/(-15) + h/(-10)? 5 Let w(i) = -7*i - 10. Let p(b) = b - 1. Let f(y) = -4*p(y) + w(y). Let r be f(5). Let v = r - -90. What is the tens digit of v? 2
What is the value of (160 - 141) + (2 - 5)? 16 What is the value of -11 + 0 + 7 + -8 + 2 + -26? -36 What is the value of (-136 - -121) + (7 - 0) + (-14 - -1)? -21 Calculate (2 + (-2 - 7) - -3) + -11 + 12. -3 What is the value of -2 - (10 - -6) - (-6 + 11 - -5)? -28 (1 - 0) + -4 + 23 + -41 + 20 -1 Calculate 3 + (-1 - -13 - (1 + 25 + -8)). -3 What is (13 - 5) + (-19 - -4) - 4? -11 What is -8 + 20 + -24 + 10? -2 0 - (10 - (28 + -8)) 10 Evaluate 5 - (3 - (2 + -11 + 23)). 16 What is 30 - 36 - (2 - (-2 + 6 + -1))? -5 What is the value of (-29 + 13 - -22) + -6? 0 Evaluate 4 + (-7 - -1) + -4 + -15 - 7. -28 -24 + 7 + (-3 - -7) + -13 + 9 -17 What is the value of (-23 - -15 - (-1 - -1 - 6)) + -18? -20 (-6 - -1 - 2) + 10 + -20 -17 Evaluate 20 - (5 + 9) - (2 + -4). 8 Calculate 18 + 2 - (339 + -320). 1 -4 - (10 + (-8 - (-1 + 2))) -5 Calculate -2 - (-7 + 7 + -1 + (-6 - -9)). -4 Evaluate 11 + (-8 - (17 - 7)). -7 Evaluate 6 + -9 + 7 - -5 - 16. -7 What is (1652 - 1664) + (3 - (1 - 2))? -8 Evaluate -11 - (-25 - -25 - (-6 + 3 - 4)). -18 Evaluate (1 - -43) + -29 + -1. 14 What is 914 + -919 - (5 + -2 + 4)? -12 6 - (-7 + -4 - (21 - 23) - -11) 4 -2 + (-24 + 14 - 3) -15 What is (1 - -15) + -1 + -35 + 1? -19 What is the value of -5 + 6 - 7 - 15 - -1? -20 Calculate 10 + (-2 - (-8 + 6)) - 33. -23 Evaluate -1 - 0 - ((-1 - 1) + -6 - -4). 3 Calculate -2 + -1 + -2 + 9 + 0 + -7. -3 What is the value of 56 - (34 - (-17 + 25))? 30 Evaluate (-5 - (7 - 5)) + (1 - (2 + 4)). -12 What is the value of 23 + (-6 - 17) + -5? -5 What is the value of (15 + 0 - 0 - 14) + 4? 5 What is (0 + -21 - -1) + 9? -11 -5 + (7 - 0 - (17 - 11 - -22)) -26 What is (0 - 9) + 19 + 1 + 1 + -27? -15 Calculate (0 - -1) + 6 - (0 - -10). -3 What is the value of -481 + 487 - (1 + 0 - 4)? 9 Evaluate 10 + (-15 - (-11 - -9)) - (-2 - 7). 6 Evaluate 1 + (-1 - ((-1 - -3 - -5) + -3)). -4 Calculate 12 + 17 + -32 + 0 + -23 - 7. -33 Evaluate -16 - (-17 + 9) - 7. -15 -5 - (-26 - (-17 + 6)) 10 Calculate (-4 - 0) + 9 + (-22 - -30). 13 What is 29 - (28 - 19 - (10 - (1 + -1)))? 30 Evaluate (-31 - -7) + 22 + (1 - 7) + -1. -9 (0 - 3) + -57 + 70 10 What is the value of -4 - (-5 - -2 - -1) - (206 - 192)? -16 Evaluate (-5 - -21) + 0 - (-55 - -61). 10 Evaluate -24 - -20 - ((5 - 2) + -2 - 16). 11 What is the value of 11 - 5 - (14 + 1 + -4)? -5 Evaluate -28 + 2 + -17 - -29. -14 What is the value of -5 + (6 - 4) - (-1 + -1)? -1 What is the value of -3 + (58 - 28) + -19? 8 What is 3 - -10 - (7 + -6)? 12 Calculate (2 - 3) + (-10 - (-9 - -8)). -10 Evaluate 43 + -43 - -7 - (0 - -25). -18 Evaluate 2 - 0 - (-7 + (20 - 17)). 6 What is (3 - (-4 - (-2 - 2))) + -1 + -16? -14 Calculate (-1 - ((-2 - 7) + 16)) + 3. -5 Calculate (12 - 5 - (-3 + 1 + 2)) + 5. 12 What is the value of 4 - (-16 - -9) - (-34 - -43)? 2 Calculate (11 - (3 - -4)) + -9 + 12. 7 (1 - 22) + (-119 - -134) -6 Calculate -7 - 31 - (2 + -19 + 0). -21 What is 4 + (-10 - -10 - 12)? -8 -32 + 9 + 5 + 56 38 Evaluate (-10 - 6 - -13) + 1 + 6. 4 Calculate (30 - (12 - 5) - 6) + -8. 9 Evaluate (14 + -2 - 0) + -3. 9 Calculate -2 + 16 + (-8 - 0 - -10) - 4. 12 Evaluate -6 - 0 - (3 - 9) - (11 + -14). 3 Evaluate -14 - (-7 - (-23 + (-16 - -28))). -18 29 - 21 - (6 - -9) -7 Evaluate 8 - (13 + 1 + -9 + 9). -6 What is 6 + (-19 - 3) + (2 - -6)? -8 What is 5 + 0 + (10 + -11 - 14)? -10 Evaluate 8 - ((1 - -1) + -15 + -1 + 49). -27 What is -30 + (20 + -23 - -60)? 27 Calculate (-37 - (-46 + -33)) + -40. 2 What is -57 - -20 - ((1 - 18) + 6)? -26 Evaluate 2 - -1 - (-142 - -122). 23 What is the value of 1 + 14 + -11 + -10? -6 -8 + (18 - (-2 - (12 + -5 - 3))) 16 Calculate 2 + 7 - (-37 + 31 + 14). 1 Evaluate -1 + 1 + -14 + 0 + 22. 8 What is 8 - (18 - 6) - (-2 - -11)? -13 Calculate (-13 - (-3 + -15)) + -36 + 10. -21 What is the value of 0 + 7 - (12 + 0 + -3)? -2 What is (5 - 3) + 7 + 5 + 0 + -23? -9 Evaluate (4 - -10) + (12 + 6 - 52). -20 Calculate 0 + -16 - (-17 - (21 - 39)). -17 What is -2 + 4 - (-4 + -3 + 3 - -12)? -6 What is 0 - (16 + -20 + -17)? 21 29 + (-4 - -1) + (6 - (6 - -7)) 19 6 + (-24 - -21 - (-6 + 2) - 2) 5 What is the value of -3 + 19 + -16 - (-33 + 4)? 29 What is the value of (65 - 68) + (7 - 6)? -2 What is the value of 1304 + -1262 + (0 - 71)? -29 What is 9 + -15 + (12 - 5) - 3? -2 Calculate -9 + (12 - 7) + -2 - -8. 2 -15 - (-1 - -2) - (-37 - -75 - 41) -13 What is the value of (0 + -3 + 6 - (-40 - -41)) + 1? 3 Calculate 5 + 1 - (-336 + 345 + -31 + 1). 27 24 - -1 - (776 - 742) -9 Calculate -40 + 30 - (-18 - 0). 8 Calculate 7 - 1 - (90 - 79 - (11 + 1)). 7 (30 + -56 - -11) + 5 -10 -8 - ((-12 - -5) + 1 - (6 - 5)) -1 Evaluate (5 - 7 - (-4 - 4)) + 6. 12 Calculate (3 - 21) + (6 - 4) - -4. -12 What is 2 + (7 - (3 + -16 - -9))? 13 What is the value of 4 + 0 - (-1 + 7 - (53 - 54))? -3 Calculate -11 + 0 - (-36 - -23) - (-5 - 1). 8 Calculate 7 + 3 + 10 + (-32 - -22). 10 Evaluate -4 - (-10 - (-21 - -13)). -2 What is -6 + (6 - 19) + 17? -2 What is the value of -4 - ((-25 - -34) + 5 + -3)? -15 Calculate -7 + (5 - 8) - -11. 1 What is (-1 - -5) + (15 - (-14 + 12 - -6))? 15 Calculate 25 + (24 - 23) + -19. 7 Evaluate (-10 - (2 + -9) - 6) + 33 - 5. 19 Evaluate 22 - (-17 + 12 + 12). 15 What is 7 + 4 + 10 - 9 - -1? 13 Evaluate 3 + (12 - (10 - -1)). 4 Calculate 1 + 4 + -5 - (-2 + 10) - -22. 14 Evaluate 38 + -40 + 3 - (18 - (0 + -2)). -19 10 + (-58 + (-4 + 10 - 1) - -10) -33 Calculate 3 + -20 - (-8 - 1 - (2 + -12)). -18 Evaluate 2 + -15 + (173 + -167 - (0 - -1)). -8 What is -7 - (26 + -8 - 14)? -11 Evaluate 8 + (-4 - 12 - -12 - -1). 5 Calculate 2 + (-6 - -10) + (-6 - -7). 7 What is the value of 119 + -124 - (3 + -7 + 2) - 4? -7 17 + (-1 - (20 + -18)) 14 Calculate -53 - 1 - (-98 - (-62 - 18)). -36 -14 + (10 - -18) + -10 4 5 + 3 - (324 + -328) 12 Calculate -24 - ((1 - 6) + (59 - 62)). -16 Calculate 0 - 13 - 0 - (-103 - -74). 16 Calculate (-3 - 2) + -12 + -2 + 7. -12 Calculate -6 + 2 + -1 + -9 + (0 - -3). -11 What is the value of (19 - 36) + 9 + -1 + 1 - -8? 0 -38 - (2 + 6 + 2 + -6 + -11) -31 Evaluate (-16 - -3) + (0 - -21). 8 Evaluate -13 + (2 - (6 - -5)) + 9. -13 -2 + (-14 - 7) + 24 1 26 + (2 - 4) - (248 + -244) 20 Calculate -3 + 0 + 32 + -10 + -7. 12 (178 - 186) + 2 + 1 + -5 -10 (11 - (24 - -5)) + (6 - 2) + -9 -23 What is -2 - ((-9 - 11) + 29)? -11 Evaluate (-1 + 0 - (2 + -3 + 7)) + -2. -9 (1 - -13) + -23 - 2 -11 What is the value of (129 - 126) + (0 + (3 - 1) - 2)? 3 Evaluate -18 + -17 + 18 + 8. -9 What is the value of (-4 - (-12 + (-13 - -10))) + -4 + -40? -33 What is (-8 - (-23 - (-16 + 22))) + (1 - 5)? 17 Calculate (-14 - 5) + (38 + -12 - 13). -6 Evaluate 25 - 1 - (-339 + 363). 0 What is (24 - 2) + -3 + -9 - (6 + 1)? 3 What is 5 - (2 + 0 + (3 - -1) + 7)? -8 Evaluate 13 - 6 - 2 - (-2 - -5 - -1). 1 (-2 - -11) + (-5 - -1) 5 (-18 - -78) + -25 + -14 21 -3 + -4 + (16 + 0 - (14 - 9)) 4 Evaluate 295 + -256 + (-3 - 34). 2 What is -13 - (28 - 18 - 26)? 3 Calculate (11 - 4) + (-20 - (4 + -15)). -2 16 + -20 - (1 - 10) 5 -14 + 2 + -852 + 877 13 Calculate 3 - (6 - -1) - (-31 - -16). 11 -12 - (-5 + -19 + -3) 15 Evaluate 6 + (130 - 130 - (0 - 8)). 14 Evaluate -4 - (14 - (-10 + 15)). -13 What is the value of (-8 - 3) + (11 - (-4 + 1))? 3 Evaluate (7 - 0) + 7 + -2 + -12 + 7. 7 0 - 17 - (611 + -614) -14 Evaluate (6 + -6 - (2 + -1)) + 18 + -13. 4 -10 + -4 + 118 + -103 + (1 - 13) -11 Evaluate 3 + (9 - (9 - -8)) - -4. -1 Evaluate 6 + (16 - 14 - 8). 0 What is the value of 1 - (-3 + 1 - -5 - (-5 - -12))? 5 -11 + 7 + (14 - -1) + 1 + 2 14 Evaluate -1 - (0 + -12 - -5 - (1 - -3)). 10 What is -17 + (-12 - (-8 - 10))? -11 What is (6 - 1 - (2 + (-10 - -3))) + 1? 11 Calculate 174 + -162 - (1 - -3). 8 What is -6 - (6 + 1 - (-7 + 12))? -8 What is 10 + -22 + 2 + 2 + -7? -15 Calculate (-3 - (-7 + 15)) + (-3 - -13) + -4. -5 Calculate 48 + (-37 - -38) + -32. 17 1 + -3 - (-41 + 25 + (3 - -4)) 7 Evaluate -10 + 5 - (-5 - (1 - -7) - -3). 5 Evaluate 14 - (-9 + 2) - (14 - (-4 + 10)). 13 Calculate -17 + 5 - -17 - 5. 0 Evaluate 2 + (49 - (52 + -29)). 28 (3 - (12 - (-2 + 8))) + 8 5 What is the value of (20 - (36 + -11)) + -1 + (-1 - -12)? 5 What is (26 - -1) + -2 + (-186 - -179)? 18 Evaluate 0 + -3 + 3 + (7 - 12 - 0). -5 Calculate -8 - (-14 - (-3 - (-7 + 8))). 2 What is -9 - ((-3 - (3 - -2)) + -41 + 28)? 12 Evaluate 17 - (-19 - (-26 - 4)). 6 What is the value of (33 - 21) + (-16 - -2 - 8)? -10 What is -5 + (-9 - (6 + -7 + -17))? 4 What is (43 - -1) + (-1331 - -1309)? 22 What is (1 - 4 - 7) + 11 + 18? 19 Evaluate 18 - (-15 - -28) - -9. 14 Evaluate 12 + 0 - (2305 - 2262). -31 -5 + 16 - (45 + -5) -29 15 + (3 - 10) + -16 - 4 -12 What is -4 - (-1 + -1) - (94 - 104)? 8 Evaluate -4 - (1 + -1) - (12 + -14) - 4. -6 Evaluate -1 - ((-6 - -8) + -1) - (1 - 16). 13 What is (9 - 4 - 21) + (55 - 36)? 3 Calculate 561 + -539 + (-41 - -1) + 8 + 0. -10
48 - ((-25)/3 - 7564/(-732)) 46 What is 17 + -27 + 89739/(-1829) + 1/(-31)*-2? -59 Evaluate 377*128/1856 - 0. 26 Calculate (1*(3 - (3 + -7 - -11)))/(6/45). -30 What is the value of ((-4279)/42790)/((-3)/2 - 1)? 1/25 What is 46/8 + ((-2310)/(-88))/21 - (-30)/4? 29/2 ((-41)/(-7))/((-1338)/9366) -41 What is the value of (-104)/(-15)*675/540? 26/3 What is the value of (9 - (-952)/(-98)) + (0 - 167)*(-160)/(-224)? -120 Evaluate (292/44 + -7)*(-2310)/560*(-4)/(-6). 1 What is -42 + -49 + (62 - -40)? 11 Evaluate 2/25 + (-56736)/(-800) + 13. 84 What is (-5*(285/(-50))/(-57))/(2*94/(-16))? 2/47 Evaluate (-8686)/(-195435) + 5676/(-135). -42 Evaluate (-14420)/(-12360)*((-201)/210 + 1). 1/20 Evaluate 300/270 - ((17 - 3) + 149710/(-11385)). 6/23 Calculate ((-40848)/(-740))/(24/10). 23 What is the value of (1 - 3)*-1*(-512)/64? -16 What is the value of 0 + (-4)/6 + 382/4*224/336? 63 What is the value of (1 + 11)/(-1) + (2128/(-1176))/(18/378)? -50 Calculate -75*819/7020 + (-3)/4. -19/2 What is ((-111)/(-37) - 1)*27/90*145? 87 What is the value of (13 + 1805/(-133))/((-72)/56)? 4/9 Calculate 1764/(-6615)*2/16. -1/30 Calculate -30*(-44 + (-33291)/(-810)). 87 What is ((-1505)/(-252) + -6)/((-765)/(-90) + -9 + 1)? -1/18 49/(-343) - (787 - (-4)/(-4))/(-14) 56 (3645/6561)/(4/288) 40 What is the value of -4*(14500/522 + -28)? 8/9 Evaluate -28 + ((-3094944)/(-9064))/(134/11). 2/67 What is the value of -12 + 4/((-52)/(-157)) - 98/6006? 2/33 Calculate (425/(-1275))/(3/117). -13 Evaluate (-1)/((-55)/(-25)) + (1323/945)/(231/30). -3/11 Calculate (-451)/(-44)*-4 + (-4)/(-1)*(-1)/(-2). -39 What is the value of 9/6*((-2786)/630 - 126/(-30))? -1/3 Calculate (205/369)/((-90)/5562) + 20. -43/3 Calculate (-12894)/780 + 32571/1974. -2/65 Evaluate (-84)/18*594/396. -7 Evaluate (15/(-8))/5 - (-69696)/5632. 12 Calculate 3*(-2 + -3) - (-16764)/15444*13. -8/9 Evaluate 288/(-504) + (-22 - 22456/(-882)). 26/9 2/3 + (-21)/234*7685/1015 -1/78 What is -5*(10879/(-215) + 44)? 33 What is the value of ((-24)/(-182))/((-14922)/(-5803)) + (-574)/39? -44/3 (-8 - (980/(-30) - 5)) + -28 5/3 What is (-290339)/51448 - (-108)/5886? -45/8 What is ((152/40 + -4)*-1)/((-30)/18)? -3/25 What is the value of 7/(-30)*(-115884)/180264? 3/20 (-4)/34 - (-2279)/731 3 What is (45/(5940/77))/(6/60)? 35/6 Evaluate (75/(-140))/(((-136)/(-24) - 6)*9). 5/28 Evaluate (-434)/(-22) - (5376/132 - (6 - -34)). 19 What is the value of 98/255 - 159/((-224349)/(-166))? 4/15 What is the value of ((-152)/(-247))/(22/(-143))? -4 Evaluate -18*(-3484)/3978*(-1173)/(-138). 134 What is (-47)/(-188)*(15/7 - (21 - 18))? -3/14 Evaluate (2 - 1)/((((-186)/4)/(-93))/((-47)/(-2))). 47 Evaluate 91 - 2447010/26910 - ((-60)/115)/6. 2/13 What is the value of 2/(5699/143726 + 1/22)*-2? -47 Calculate (1475/531)/(10/12)*18/(-150). -2/5 What is the value of ((-11425)/(-300) - 40)*(2 + 2) - -5*1? -8/3 (-2224)/1946*945/(-20) 54 What is (4 - 0)/(30254/19449)? 18/7 (-5)/2 - (859/(-1718))/((-3)/(-26)) 11/6 (0 + 1254/(-154))*(8 - (-114)/(-9)) 38 What is the value of 357/1870*8/84? 1/55 Calculate (19936/(-4655))/16 + 2118/37065. -4/19 What is 52/((-131560)/805)*(-22)/28? 1/4 Evaluate (3/(-14))/(51705/(-201075)). 5/6 What is ((-31149)/(-20766))/(9/(-222))? -37 3*-29*(741 + -746 + ((-39)/(-9) - -1)) -29 Evaluate ((-24)/5)/((-403)/4030) + -11. 37 Evaluate (-498)/38 + 64/224 + 206/14 + -2. -2/19 What is 0 - ((-83)/12 - -6) - 145/(-1276)*-11? -1/3 Calculate (-6)/165*(-25)/5 - (1428/187)/14. -4/11 What is (51/(-221))/(((-1209)/248)/(-13))? -8/13 What is the value of -24 + 10692/440 - (0 + (-8)/240)? 1/3 What is the value of -23 + 17809/462 + ((-12)/3 - 106/(-28))? 46/3 What is (62/5270)/((-294)/980)? -2/51 Evaluate 10/4 - 6/(672/(-1400)). 15 Calculate 28 - (0*((-2184)/120 - -18))/7. 28 Evaluate (-1)/(-7)*(-4)/2*13365/5346. -5/7 Evaluate ((-1674)/12 + 147)*(-2)/430. -3/86 Evaluate 60/22*68123/2815. 66 What is the value of (3/5)/(8173/(-7430) + (-35 - 2))? -2/127 Calculate ((-3264)/(-4048))/(3 + -6) - 8/(-44). -2/23 Calculate (2*10)/(500/(-500)) + -7. -27 Evaluate (-14256)/(-990)*((-1)/(-2) - -2). 36 Evaluate 7/(-15)*(-3288)/(-1918)*-35. 28 Calculate 16 + 4 + -6*(-38)/(-8). -17/2 -6 - 40960/(-6800) - (-5784)/(-170) -34 Evaluate 4/46 - 364/(1506960/(-566820)). 137 Evaluate 16230/(-12984)*3/(-30). 1/8 Calculate 35/14*108/(-60)*(-15 + 21). -27 Calculate (28/(-35))/(-2) + -263 + 261. -8/5 (20 - ((-795)/(-30) - (-525)/70)) + 153 + 0 139 Calculate (((-300)/(-56))/((-20)/(-28)))/((-27)/4). -10/9 What is the value of ((-30)/585 - 245/546)*(164 + 2)? -83 What is the value of 23 + ((-66)/9 - 15/(-45)*1)? 16 Evaluate ((-200)/500)/((1/60)/(2 - 20/12)). -8 What is -5 + 2 - ((-166)/(-249) + 16/(-5))? -7/15 Evaluate (-5*3/9)/(4/(-312)*-2) - 5. -70 Calculate (4 + 1)/(24/(-14) - ((-7128)/1008)/(-9)). -2 What is the value of 110*(-101)/(-1111)*(63/30)/(-1)? -21 Calculate 415/(161020/36084)*(-2)/(-6). 31 (-129)/12 - (13279/(-196) + 70) -13 Calculate ((-10)/12*((-58497)/1665 + 45))/(2/(-3)). 37/3 Evaluate (3*(-88)/144 - 52873/(-29082))/(-2). 1/131 Evaluate (-4838)/(-239481) + (-538)/(-2772). 3/14 Evaluate 13*1 + (-113724)/8892 - (-10186)/(-50369). 2/241 Evaluate 939/(-45) + (-1785)/(-85). 2/15 Calculate (14688/3060)/((-6)/(-55)). 44 Evaluate (1/5 + (-2976)/2480)*0/1. 0 Calculate (-59)/(-4956)*-994*(36/(-4))/((-3)/2). -71 Calculate 1976/(-143) - (3/6 - 1334/92). 2/11 What is 8514/(-1908) + 20 + 13806/(-689)? -9/2 Calculate (128/(-3))/(2597/159 + -18) + (-6)/10. 25 Calculate ((-20)/(-80) + -3*116/(-144))/(10/15). 4 What is (-4)/(-2)*7626/15252? 1 What is the value of ((-35)/6510)/(-32 + (-14245)/(-444))? -2/31 Calculate (-28 - -27)/(70 - 60). -1/10 Calculate ((-148)/(-36))/((-455)/315 + 33/(-9) + 5). -37 (-215 + 141)*19/(-38) 37 Evaluate 136/(-170) + 26/(2600/(-4020)). -41 What is (18 - 6 - -9) + (702/(-9))/(-6)? 34 (48254/(-207) - -184) + ((2 + -4)/(-18))/1 -49 Evaluate (-3 - 192/(-63))*34 - 327/(-1526). 11/6 (-18)/48 - (8 + 10230/240) -51 Evaluate 1149/228 - ((-84)/1218 - 26553/(-6148)). 15/19 What is the value of (-789)/(-21000) - 378/(-23625)? 3/56 (6*27 - -2)/(-38 - 5 - -47) 41 (-4)/(648/(-135)) - (-3141)/54*1 59 What is ((-1)/9 - 1495/234) + 7 - 5/2? -2 Evaluate -315 - -213 - (-116 + 8). 6 32/12*1395/620*(-1)/(-57) 2/19 Calculate (-14480)/345 - (-452 + 410). 2/69 449/(-178) - 900/135*(-18)/48 -2/89 What is the value of (-2 - (-337)/(-67)) + 5334/178689? -7 What is the value of (345/(-198) - 429/(-234))/(-5)? -1/55 Calculate (550/(-16))/(-5)*(-10100)/12625*4. -22 What is the value of (-43)/(-7) - (-13544)/71106? 19/3 Evaluate (2 + 0)/((-35)/21*1131/(-2465)). 34/13 Calculate (1*10/(-225))/(8/236 + (-167418)/(-77290)). -2/99 Calculate -5*(-1)/14 + (-11968)/(-10472). 3/2 Calculate (-67)/((-47905)/15080) + (-1)/11. 21 What is the value of 21/(-840)*4 - (-44334)/540? 82 What is 55564/(-1740) - (-1 + (-144)/(-135))? -32 What is (-424935)/33725 - (((-117)/(-30) - 3) + 3/(-6))? -13 What is the value of 2*(-170)/(-20) + -21 + 10? 6 Evaluate (89 - 6*(-4 - -6) - 14) + 0. 63 (135/54 - 3)*30/4*(-80)/330 10/11 Calculate 563/6 - ((5 + 51)/8 + 817/(-114)). 94 Evaluate -142*(-1)/8 + -4558 + 4542. 7/4 Evaluate ((-642420)/(-6713289))/(-1 + (-50)/(-38)). 10/33 What is (207/(-18))/((1484/56)/(-53))? 23 Calculate -17 - 112/24*(-198)/231. -13 What is the value of 36512/(-14504) - (-7)/(2072/(-16))? -18/7 What is the value of (4 - 69)/5 + 4676/364? -2/13 (-3 - -63) + (-2)/((-8)/(-18))*(-1780)/801 70 What is the value of 15080/(-468) + 70/315? -32 What is the value of (0/(4 - 7) - -147)/(-45 - 2697/(-62))? -98 Evaluate 40 - (103 - (-1145)/(-15)). 40/3 57 - (1 + (-380)/(-20)) 37 Calculate -22 + 1760/(-396)*(-10 + 1). 18 (9/11 + -1)*-37*(-183)/9028 -3/22 Calculate 1812/(-46) - (13131 - 13171). 14/23 (-14718)/12042 + (1 - -1) 7/9 Calculate -245*(-43)/(-215) - -84. 35 Evaluate 4026/(-462)*(-15)/(165/(-77)). -61 What is ((-1 - -21)/(-10))/(-11 - -9) + (-26)/(-10)? 18/5 Calculate -2*5/15*(1500/(-8))/25. 5 Calculate 88*(-792)/(-1815) + (-210)/150. 37 49/28 - (1518/(-3795) + 1143/20) -55 Calculate 4/(-5)*17/(128 - 536). 1/30 (-58)/(-22*(940/440)/47) 58 Calculate ((-1)/(441/56) - (-382)/1719) + (-3608)/(-42). 86 What is ((3 + 24)*(-2)/12)/(11 - (-5120)/(-460))? 69/2 What is -3 - (1596/(-57) - -15)? 10 Evaluate (-15003)/(-6426) + 126/(-108) + (-2)/(-17). 9/7 What is ((13 - (-1659)/(-126))*-3)/((-77)/14 + 5)? -1 32 - 16/(-96)*-90 - 82 -65 Evaluate 22 + (21640/(-22722))/(2/39). 24/7 Calculate (-32)/64 - (-182)/(-28). -7 What is the value of (-4 + -5)*((-12)/9)/((-294)/(-441))? 18 10*(-5 - 0 - (9 - 13))*2245/898 -25 Calculate (-7091)/(-3871) + -2 - 5/(-875)*25. -2/79 Evaluate (39 - 1394/123 - (-10)/(-3)) + (-2)/6. 24
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Let o = -208 - -210. What is the third derivative of -165*a**3 - 43*a**3 - o*a - 21*a**2 - 32*a**2 - a**2 + 7*a**2 wrt a? -1248 What is the second derivative of 22*f**4 - 26*f**4 - 141096*f**3 + 3820*f + 141085*f**3 wrt f? -48*f**2 - 66*f Let d = -96 + 98. Suppose -d*l + 397 = q + l, -2*q - 2*l = -774. Find the second derivative of 28*h**5 + q*h - 2*h**5 - 404*h wrt h. 520*h**3 Let q(k) = -4*k**2 + 49*k - 10. Let j be q(12). Differentiate -5*b**2 + 0*b**j + 93 + 1406*b - 1405*b wrt b. -10*b + 1 Let z = 506 - 448. Find the second derivative of -167 + z*x + 248*x**3 + 166 + 79*x wrt x. 1488*x Let o(b) = 218*b**3 - 39*b**2 - 4*b - 4. Let m(r) = -653*r**3 + 115*r**2 + 10*r + 11. Let q(u) = -4*m(u) - 11*o(u). What is the third derivative of q(l) wrt l? 1284 Let h(d) be the first derivative of 24*d - 25 + 0*d**4 + 0*d**3 - 64/5*d**5 + 0*d**2. What is the first derivative of h(z) wrt z? -256*z**3 Suppose 32*z - 48 = 16. What is the derivative of -13*d**2 + 86 + 14*d**z - 251 - 22*d - 102*d wrt d? 2*d - 124 Let h be (-2808)/44 - (-4)/(-22). Let c = h + 67. What is the second derivative of -8*l + 7*l - 23*l - 9*l**c - 9*l**3 wrt l? -108*l Find the second derivative of -29*x - 285*x**2 - 337*x**2 + 28*x + 8 - 168 wrt x. -1244 Let y = 82 + -80. What is the third derivative of -20*r**y + 2*r - r - 12*r**4 - 36*r**4 - 10*r**4 wrt r? -1392*r Let b(z) = 88*z**2 - 24*z - 699. Let g(d) = 80*d**2 - 21*d - 698. Let c(s) = 4*b(s) - 5*g(s). Differentiate c(q) with respect to q. -96*q + 9 Let z(h) be the third derivative of 0*h**6 - 11/105*h**7 + 3*h**2 + 0*h**4 + 9*h**3 + 0*h + 1/60*h**5 + 0. Differentiate z(b) with respect to b. -88*b**3 + 2*b Let h be (-6)/8 + 225/(-20). Let d(r) = r**2 - 8*r - 46. Let w be d(h). Differentiate 5*x**2 - 5*x**2 - 220*x**3 + w*x**3 + 3 with respect to x. -78*x**2 Let b = -181 - -183. Differentiate -2070 + 2*p**b + 3*p**2 + 2104 wrt p. 10*p Let x = -40 + 44. Suppose 0 = -4*i - 5*a + 112, -i - x*a + 2*a = -31. Find the second derivative of -2 - i*o + 9 - 7 + 23*o**2 wrt o. 46 Let l(x) be the second derivative of -450*x**4 - 275*x**3/2 - 3270*x + 2. Find the second derivative of l(v) wrt v. -10800 Suppose -2*p + 0*p = -812. Suppose s - 4*d + d = p, 3*d = 4*s - 1669. What is the second derivative of 10*g**4 + 421*g**3 + 2*g - s*g**3 wrt g? 120*g**2 Let r be 1 + -9*12/(-27). Let a(u) be the first derivative of 0*u**2 - 11 + 16/3*u**3 + 0*u**4 + 16/5*u**r + 0*u. Find the third derivative of a(q) wrt q. 384*q Let o(x) be the third derivative of 521*x**7/14 + 363*x**5/20 + x**4/12 + 1835*x**2 + 2*x. What is the third derivative of o(s) wrt s? 187560*s Let f(b) be the third derivative of b**7/105 + 103*b**5/60 - 7*b**4/12 + 3095*b**3/3 - 9393*b**2. Differentiate f(q) wrt q. 8*q**3 + 206*q - 14 What is the first derivative of 312*v**4 + 351*v**4 - 665*v**4 + 2*v**3 + 5662 + 154*v**2 wrt v? -8*v**3 + 6*v**2 + 308*v Let h(t) = -1545*t + 874. Let i(u) = 12360*u - 6975. Let s(z) = -33*h(z) - 4*i(z). Find the first derivative of s(d) wrt d. 1545 Let y = -7180 - -7182. Let r(c) be the second derivative of 19/3*c**3 - 8*c**y - 19*c + 0. What is the first derivative of r(a) wrt a? 38 What is the second derivative of 3646*g + 2679*g - 3596*g**5 - 4130*g**5 + 29 - 29 wrt g? -154520*g**3 Differentiate -10064 + 256*o**3 + 5703 - 2637*o**3 wrt o. -7143*o**2 Let g be (-20)/(3 + 2) + 119. What is the first derivative of 36*i + 39*i - 197 - g*i**3 - 75*i wrt i? -345*i**2 Let s = -58 - -63. What is the third derivative of -642*j**5 + 642*j**s + 62*j**6 + 229*j**2 + 3 - 3 wrt j? 7440*j**3 Find the second derivative of 121156*x**5 + 1614*x - 9*x**3 + 986*x**4 + 9*x**3 - 121155*x**5 wrt x. 20*x**3 + 11832*x**2 Let r(x) = -12*x**4 - 7*x**3 + 154*x**2 - 14*x. Let u(p) = p**4 + p**3 + 2*p. Let l(v) = -3*r(v) - 21*u(v). Find the third derivative of l(f) wrt f. 360*f Let h(a) be the second derivative of -11*a**6/90 + 25*a**4/6 - 17*a**3 - a**2/2 - 8*a + 7. Let j(y) be the second derivative of h(y). Differentiate j(p) wrt p. -88*p Let r = -91 - -117. Find the third derivative of -159*j**4 - 114 - 5*j**3 + 2*j**2 + r + 158*j**4 - 4*j**2 wrt j. -24*j - 30 Let k be (2 - 2) + 40/(-2 + 4). Find the second derivative of -2*l + 29*l**2 + 38*l**2 + 0*l + 284*l**2 + k wrt l. 702 Suppose -4*o - 47 + 155 = 0. Let p be -26*(4 + o/(-6)). Find the second derivative of 6*d - 2*d + 3*d**2 - p*d**2 - 10*d**2 wrt d. -40 Suppose 5*a - 2*a = -3*y + 30, 0 = -a - 5. Let u = 17 - y. What is the derivative of -55*t**u - 8 + 27*t**2 + 40*t**2 wrt t? 24*t Let z(s) = -70*s + 15. Let k(n) = -27 - 27*n + 12 + 98*n. Let c(x) = 4*k(x) + 5*z(x). Differentiate c(q) with respect to q. -66 What is the second derivative of 37*d**3 - 90*d**3 + 37*d**3 - 19*d**3 + 33*d**3 - 2*d - 3308*d**2 + 162 wrt d? -12*d - 6616 Let u(q) be the first derivative of -5*q**3 + 25*q**2 + 354*q - 896. Differentiate u(n) with respect to n. -30*n + 50 Find the second derivative of 43*i**5 + i + 7*i - 27*i - 10*i**4 + 20*i + 851 wrt i. 860*i**3 - 120*i**2 Differentiate -349*q**3 + 1011803*q**2 - q**4 + 3*q**4 + 381 - 1011803*q**2 with respect to q. 8*q**3 - 1047*q**2 Let y(z) be the third derivative of -138*z**2 + 1/24*z**4 + 0 - 2*z**5 + 0*z + 65/6*z**3. What is the second derivative of y(t) wrt t? -240 What is the second derivative of -21*b**2 - 135*b - 3377*b + 701 - 701 - 47*b**3 wrt b? -282*b - 42 Let u(w) be the second derivative of 5/2*w**2 + 3/2*w**7 + 0*w**5 + 64*w + 0 + 1/6*w**3 + 0*w**6 + 0*w**4. What is the second derivative of u(s) wrt s? 1260*s**3 Let g(s) be the third derivative of 1/60*s**6 - 1/2*s**5 - 1/8*s**4 + 0 + 0*s - 1/6*s**3 + 57*s**2. Find the second derivative of g(d) wrt d. 12*d - 60 Let m(k) be the third derivative of 13*k**6/144 - 23*k**5/120 + 59*k**4/12 + 18*k**2 - 1. Let x(q) be the second derivative of m(q). Differentiate x(w) wrt w. 65 Let d(f) = -5*f + 162. Let c be d(32). Let x be (-26 - 0)*(-2)/4. Find the third derivative of x*r**3 - 19*r - 14*r**2 + c*r**3 + 19*r wrt r. 90 Suppose 0 = -155*s + 160*s - 85. Find the third derivative of s*i**2 - 100*i**3 + 36*i - 12*i**2 - 7*i**2 wrt i. -600 Let n = -16 - -7. Let c be 12/n*3/(-2). What is the derivative of 34*m**2 - 19*m**4 + 24*m**c - 58*m**2 + 16 wrt m? -76*m**3 Let w(t) be the second derivative of -1477*t**6/30 + 3461*t**2/2 + 4561*t. Differentiate w(l) wrt l. -5908*l**3 Suppose 7*k - 6*k = 5. Suppose 4*y - 2*d + 4*d - 22 = 0, k*d - 7 = -2*y. What is the third derivative of 4*p**4 - 8*p**2 + 11*p**4 - 15*p**4 - 4*p**y wrt p? -480*p**3 Let s(i) = -2*i**3 - 80*i + 6. Let f be s(0). Let j(x) be the first derivative of f*x**2 + 0*x - 22/3*x**3 + 2. What is the second derivative of j(z) wrt z? -44 Let n(i) be the second derivative of 281*i**5/10 - 5*i**4/3 + 10*i**2 + 302*i - 1. Find the third derivative of n(y) wrt y. 3372 Let y(s) be the second derivative of 1071*s**6/10 - 1347*s**2/2 - 3209*s. What is the first derivative of y(d) wrt d? 12852*d**3 Let m(i) be the second derivative of -37*i**6/30 - 11*i**5/10 - 1431*i**2 + 124*i - 8. What is the derivative of m(j) wrt j? -148*j**3 - 66*j**2 Let y(h) be the third derivative of 977*h**7/210 - 81*h**5/10 - h**4/12 - 1397*h**2. Find the third derivative of y(m) wrt m. 23448*m Find the third derivative of -116*z**3 - 7*z**2 + 212*z**3 - z**5 + 342 - 100*z**3 + 86*z**4 wrt z. -60*z**2 + 2064*z - 24 What is the derivative of 576*k**2 + 701*k**4 - 574*k**2 + k**3 - 453*k**4 + 4297 wrt k? 992*k**3 + 3*k**2 + 4*k What is the third derivative of -854*a**2 - 179 + 387*a**2 + 179 - 1291*a**2 - 4595*a**3 wrt a? -27570 Suppose -53*h + 9*h = -1584. Find the third derivative of -h*i**6 + 6832 + 3*i**5 - 6832 - 169*i**2 wrt i. -4320*i**3 + 180*i**2 Let z = -22 + 245. Differentiate -109 - 4*c + z + c + 13*c**2 wrt c. 26*c - 3 Let x = -171 + 175. Find the third derivative of -33*i**x - 32*i**4 + 4 - i**5 + 129*i**2 - 2 - 1 wrt i. -60*i**2 - 1560*i Let b be 3/(-5 - -2) - -2*2. Suppose b*h = -2*z, 0*z + 4*h = 3*z - 17. Find the second derivative of 389*t**2 - 9*t**z - 18*t**3 - 389*t**2 - 34*t wrt t. -162*t Let v = -43 + 45. Suppose 6 + v = 2*g. Differentiate 1 - 2 - 18*b**3 + 5 + g*b**3 with respect to b. -42*b**2 Find the third derivative of -88*i**5 + 1498*i**2 - 578*i**2 + 447*i**2 - 2*i**6 wrt i. -240*i**3 - 5280*i**2 Let z(w) = 2*w**2 + 9*w - 1. Suppose 25 = -3*h - 2*h. Let f be z(h). Differentiate 7*o**4 + 115*o**3 - 115*o**3 + f with respect to o. 28*o**3
Suppose 0 = 1977*t - 1979*t + 6. Let p be (t*(0 - 1))/(137 - 138). What is the highest common factor of 75 and p? 3 Let d = -49 + 54. Suppose j + 3*u - 29 = -2*u, d*j - 3*u = 33. Let z be (-6)/4 + (-2328)/(-16). What is the highest common divisor of z and j? 9 Let m(b) = -b**2 + 9*b + 8. Let r be m(0). Let q(t) = -t**3 + 6*t**2 + 40*t - 77. Let a be q(9). Calculate the greatest common divisor of r and a. 8 Let y(z) = -6*z - 21. Let r(h) = 3*h + 11. Let j(b) = -5*r(b) - 3*y(b). Let g be j(3). Let p = g - 11. Calculate the highest common factor of p and 24. 6 Let c be (-4)/(-10) + 1104/(-10). Let i = c - -108. Let z(g) = -18*g**3 + 2*g**2 + 6*g + 4. Let a be z(i). What is the highest common factor of a and 16? 16 Let p be (-1052)/(-10) - (-2 - (-128)/40). What is the greatest common factor of p and 2158? 26 Suppose -6*b = -5*v + 696, 4*v - 3*b - 179 = 367. Calculate the highest common divisor of 7458 and v. 66 Let x(n) = 2*n**2 + n - 1. Let i be x(3). Suppose 3*r - 4*w - 93 = 0, -r = -w - 56 + 24. What is the highest common divisor of i and r? 5 Let r = -325 - -277. Let x = r + 86. Let q be ((-95)/(-4))/(2/8). Calculate the highest common factor of q and x. 19 Let s be 18/(-4) + (-3)/6. Suppose 2*n = -n - 9. Let y be (-4)/s - (-2 - n)/(-5). What is the highest common divisor of 11 and y? 1 Let g(l) = -2*l**3 + 77*l**2 - 32*l - 130. Let c be g(38). Calculate the greatest common divisor of c and 60074. 98 Suppose -2*l = 3*l - 540. Suppose -l = -4*o + 28. Suppose -428 = -11*c + o. What is the greatest common factor of c and 14? 14 Let c be 9/(3 - 0) + 18. Suppose 0*w + 8*w = 840. Suppose y + 0 = w. Calculate the greatest common divisor of y and c. 21 Suppose 7*p = 10*p - 168. Let n be ((-639)/6)/((-12)/p). What is the greatest common factor of n and 71? 71 Let m be (13/39 - -1)*(-1254)/(-4). What is the greatest common divisor of m and 88? 22 Suppose 2*k - 4*x - 46 = 0, -85 = -5*k - 235*x + 240*x. Let c(q) = -q**3 - 10*q**2 - 5*q. Let h be c(-11). What is the greatest common factor of h and k? 11 Let z be (-5)/(-11) + 493284/17908. Suppose 6*p - 28 = 5*p. Calculate the greatest common factor of z and p. 28 Let c = -78 + 122. Suppose 3*l + l = 24. Suppose 0 = 2*t + 5*s - 23, t - l - 1 = -s. Calculate the highest common divisor of t and c. 4 Suppose -v - 5*w + 35 = 0, 10*w - 260 = -4*v + 14*w. Suppose -5*k = -4*k. Suppose k = 5*i - i - 360. Calculate the greatest common factor of i and v. 30 Suppose -12*t + 138 = 11*t. Let p(y) = 5*y - 4*y - 1 + y**2 - y - 2*y. Let h be p(-1). Calculate the highest common divisor of t and h. 2 Let h be (-17)/(85/(-35)) + 1406. Calculate the highest common factor of h and 6280. 157 Let y(t) = 15*t - 5. Let q be y(7). Let b(a) = 3*a**2 + 63*a - 65. Let i be b(-21). Let j = -40 - i. What is the highest common divisor of j and q? 25 Let z be (0 + -156)*((-20)/3 - 115/(-23)). Suppose 2*g - 3*d - 80 = 0, 4*g - d - 135 - 25 = 0. What is the greatest common factor of z and g? 20 Let z be 1*(-118)/(1 - 0 - 0). Let o = z + 156. What is the highest common divisor of 76 and o? 38 Suppose -5*b = -5*l - 689 - 31, -168 = -b + 5*l. What is the greatest common factor of 30 and b? 6 Let g(v) = 6*v - 32. Let a = -22 + 28. Let c be g(a). Calculate the greatest common divisor of 32 and c. 4 Suppose 91*s = 2060 + 2126. Let h = 9 - -129. What is the highest common divisor of h and s? 46 Let a = 292 - 152. Suppose -7*p = -2*p + 5*r - a, -5*r = -5. Suppose 0*v = -2*v + 594. Calculate the greatest common factor of v and p. 27 Let r(l) = 147*l - 1108. Let j be r(8). Calculate the highest common divisor of 216 and j. 4 Suppose -h = l - 708, -83*l + 82*l = 2*h - 714. Calculate the highest common factor of l and 468. 234 Let m be (0/(-3) + 0)*3/6. Suppose 25 = 3*z - c, z + 1 = -m*z - 2*c. Calculate the greatest common factor of z and 7. 7 Let f = -44 + 47. Suppose f*d - 2*d + v - 119 = 0, -4*d - v = -470. Let m be ((-2)/9)/((-2)/3)*d. What is the greatest common factor of m and 26? 13 Let o(t) = t**2 - 5*t + 3. Let p be o(6). Suppose -32*y + 15215 = -22513. Calculate the greatest common factor of p and y. 9 Suppose -14*f + 11904 = 21*f - 4*f. What is the greatest common divisor of 3336 and f? 24 Suppose -6*i - 17 = -197. Let y = -31 + i. Let k be (-579)/(-39) - ((-33)/(-39) + y). Calculate the greatest common divisor of 75 and k. 15 Let b = -658 - -679. Suppose -495 = -b*h + 12*h. What is the highest common divisor of h and 33? 11 Suppose 3*k + 6 + 228 = 16*k. What is the highest common factor of 124 and k? 2 Let i(r) = -4*r**2 - 9*r - 6. Let q be i(-1). Let j be 414 - (q + 5 + 5 + -9). What is the greatest common factor of 46 and j? 46 Suppose 0*v + 152 = 2*v. Suppose -z - 4*u = -49, -z + 8*u + v = 3*u. What is the highest common factor of z and 61? 61 Let w be (-48*(2 - 1))/(-1). Let a = 43 - 42. Let f be (-2 + -3 + 4)*a + 7. Calculate the highest common divisor of w and f. 6 Let y = 11418 - 11314. Calculate the highest common divisor of y and 14. 2 Let y(u) = -u - 19. Suppose -2*v - 78 = -20. Let o be y(v). What is the highest common factor of o and 70? 10 Suppose 2472*a + 127 + 1133 = 2500*a. Calculate the greatest common divisor of a and 3618. 9 Let a(f) = 21*f + 24. Let q be a(8). Suppose -2*p - 28 = -q. Suppose 2*u + 2 = 0, 0 = 4*r - 2*u - 0*u - p. Calculate the highest common factor of r and 80. 20 Suppose 5*z = 4*u - 152 - 87, 2*u - z - 127 = 0. Let p be 8*1/(3/u). Let f be 4/(0 + -4) + 17. Calculate the highest common divisor of f and p. 16 Let c = 2867 - 2714. What is the highest common divisor of 357 and c? 51 Suppose 0 = -d - 37*a + 38*a + 7087, 0 = d - 3*a - 7081. What is the highest common divisor of d and 10? 10 Suppose 25*t - 66 = -666. Suppose 105 = 2*i + 3*w, -i - 175 = -4*i - w. Let o = t + i. Calculate the greatest common factor of o and 9. 9 Let i = 1013 - 1012. Let n be i*(-3 + -3 + 48). What is the highest common divisor of n and 21? 21 Let r(l) = -127*l + 12. Let m be r(-9). Let f be m/(-22)*(-3)/((-9)/(-2)). Suppose -4*c + f = -5. What is the greatest common divisor of 15 and c? 5 Let c = -5663 - -5691. Calculate the highest common divisor of 20 and c. 4 Let h(y) = -14*y - 4 + 3 + 5*y + 3. Let t(o) = -17*o + 4. Let r(b) = 9*h(b) - 4*t(b). Let w be r(-6). Calculate the greatest common factor of w and 10. 10 Let n(a) = -a**3 - 61*a**2 - 65*a - 282. Let q be n(-60). Calculate the highest common divisor of q and 1014. 6 Suppose 4*b - 113 = 7. Let s be 1682/6 + (68/12 - 5). Let q = 293 - s. What is the highest common factor of b and q? 6 Suppose k = 2*k - 90. Suppose -2*d = 3*n - 160, 42*n - 45*n = 5*d - 400. What is the highest common factor of k and d? 10 Let d = 248 - 140. Let t be -3*(-8)/d + (-4)/18. Suppose t = -8*c + 14*c - 162. What is the greatest common divisor of c and 189? 27 Suppose 89 = 4*p + 3*r, -3*p + 2*r + 54 = -0*p. Let k = -146 + -28. Let i be (k/18 - -10) + 119/3. Calculate the highest common divisor of p and i. 20 Suppose -1043 = 9*y - 152. Let n = y - -112. Calculate the highest common divisor of n and 793. 13 Let t be (-12)/(-8)*10/(-5)*12. Let v = 56 + t. Let s(w) = 24*w**3 - 4*w**2 + 2*w. Let n be s(2). Calculate the greatest common divisor of n and v. 20 Let y(t) = 32*t**2 - 1. Let s be y(-2). Suppose 0 = -122*w + s*w - 210. What is the greatest common divisor of w and 168? 42 Let k(r) = -r**3 + 8*r**2 - 7*r + 3. Let a be k(7). Let x(f) = 16*f**2 - f + 3. Let h be x(a). Calculate the greatest common factor of h and 27. 9 Suppose 20 = 780*r - 784*r, 77725 = 5*f - 2*r. Calculate the highest common divisor of 99 and f. 99 Let q = 42 + -18. Suppose -i = -4*d - d - 299, 4*i - 1063 = d. What is the greatest common divisor of i and q? 24 Let g = -12 - -245. Let f = g - 200. What is the highest common divisor of f and 231? 33 Let d be 0 - 4/(16/(-20)). Suppose t - d*t - 12 = -5*m, -2*t = -5*m + 16. Suppose 0 = 2*g + g - 24. Calculate the greatest common factor of g and t. 2 Suppose -11488 - 11875 = -51*f + 199. Calculate the greatest common factor of f and 672. 42 Let u(q) = 151*q + 2573. Let r be u(-14). Calculate the highest common divisor of r and 12087. 153 Suppose -g - 30 = -4*t - 314, 5*t + 15 = 0. Calculate the greatest common divisor of g and 1496. 136 Let t be ((-11)/3 + 3)*-6. Let l(f) = 4*f - 14. Let g be l(t). Suppose -g*v - j + 6 = -v, -j = -4*v + 14. What is the greatest common divisor of v and 4? 4 Suppose 0 = y + 8*y - 1197. Suppose 4*d - u = y, -2*d + 3*u - 6*u + 63 = 0. Suppose -2*p = p - d. What is the highest common divisor of 121 and p? 11
What is h in 15*h**4 - 115*h**3 - 40*h**2 = 0? -1/3, 0, 8 Suppose 2*q**4/7 - 6*q**3/7 - 10*q**2/7 + 6*q/7 + 8/7 = 0. Calculate q. -1, 1, 4 Determine c so that -c**2/3 - 32*c/3 + 68/3 = 0. -34, 2 Factor 2*m**3/13 - 450*m**2/13 + 33750*m/13 - 843750/13. 2*(m - 75)**3/13 Let 5*q**4/4 + 30*q**3 + 495*q**2/2 + 850*q + 4125/4 = 0. Calculate q. -11, -5, -3 Solve n**5 - 43*n**4 + 39*n**3 + 127*n**2 - 40*n - 84 = 0. -1, 1, 2, 42 Suppose -x**5 + 65*x**4/4 - 73*x**3 + 445*x**2/4 - 127*x/2 + 10 = 0. Calculate x. 1/4, 1, 4, 10 Factor -j**4 - 7*j**3 + 9*j**2 + 7*j - 8. -(j - 1)**2*(j + 1)*(j + 8) Let -4*f**3 - 68*f**2 - 236*f + 308 = 0. Calculate f. -11, -7, 1 What is a in -64*a**3/9 + 44*a**2/3 - 8*a/9 = 0? 0, 1/16, 2 What is c in -3*c**2/2 - 471*c/2 = 0? -157, 0 Determine z so that -z**5/6 + 5*z**4/6 + 7*z**3/3 + z**2/3 - 13*z/6 - 7/6 = 0. -1, 1, 7 Let 8*p**2 - 6*p - 2 = 0. Calculate p. -1/4, 1 Let 7*g**4/5 - 2*g**3/5 - 63*g**2/5 + 18*g/5 = 0. Calculate g. -3, 0, 2/7, 3 Solve 5*y**4 - 40*y**3 + 55*y**2 + 40*y - 60 = 0 for y. -1, 1, 2, 6 Find y such that y**4 - 9*y**3 - 63*y**2 + 149*y - 78 = 0. -6, 1, 13 Factor -g**2/4 + 55*g/2 - 54. -(g - 108)*(g - 2)/4 Factor 3*l**5 - 9*l**4 - 15*l**3 + 9*l**2 + 12*l. 3*l*(l - 4)*(l - 1)*(l + 1)**2 Let -2*y**2/15 - 418*y/15 - 412/5 = 0. What is y? -206, -3 Factor -185*n**2/3 - 2*n/3. -n*(185*n + 2)/3 Factor 3*a**3 - 3*a**2 - 12*a + 12. 3*(a - 2)*(a - 1)*(a + 2) What is g in -2*g**2 + 232*g + 472 = 0? -2, 118 Factor -2*k**2 + 3032*k - 1149128. -2*(k - 758)**2 Factor -20*m**2/9 - 58*m - 52/9. -2*(m + 26)*(10*m + 1)/9 Factor 2*q**4/9 + 32*q**3/9 + 58*q**2/3 + 40*q + 24. 2*(q + 1)*(q + 3)*(q + 6)**2/9 Find w, given that 147*w**5 + 21987*w**4 + 860277*w**3 + 2836305*w**2 + 1412112*w + 191844 = 0. -73, -3, -2/7 What is l in -9*l**3 - 1212*l**2 + 2871*l - 822 = 0? -137, 1/3, 2 Suppose -2*s**3/25 + 512*s**2/25 - 30624*s/25 - 278784/25 = 0. Calculate s. -8, 132 Factor -5*m**2 + 190*m - 185. -5*(m - 37)*(m - 1) Find h such that -13*h**4 + 24*h**3 + 69*h**2 - 68*h - 12 = 0. -2, -2/13, 1, 3 Let -w**4 - 20*w**3 - 51*w**2 + 4*w + 68 = 0. What is w? -17, -2, 1 Factor g**2 + 220*g - 221. (g - 1)*(g + 221) Factor -a**4/2 - 49*a**3/2 - 261*a**2 + 962*a - 676. -(a - 2)*(a - 1)*(a + 26)**2/2 Find y such that -3*y**4/4 - 51*y**3 - 777*y**2/4 - 144*y = 0. -64, -3, -1, 0 What is i in 5*i**4 + 95*i**3 + 415*i**2 + 325*i = 0? -13, -5, -1, 0 Factor -l**3/2 - 17*l**2/2 + 37*l/2 - 19/2. -(l - 1)**2*(l + 19)/2 Factor -q**3/2 - 1860*q**2 - 2306400*q - 953312000. -(q + 1240)**3/2 Factor 5*q**4 + 15*q**3 + 10*q**2. 5*q**2*(q + 1)*(q + 2) Factor -2*l**3 + 612*l**2 + 1238*l - 1848. -2*(l - 308)*(l - 1)*(l + 3) Let 2*c**5/13 - 60*c**4/13 + 266*c**3/13 - 408*c**2/13 + 200*c/13 = 0. What is c? 0, 1, 2, 25 Factor -3*u**2/2 - 300*u - 15000. -3*(u + 100)**2/2 Factor 2*i**2/5 + 2*i/5 - 24/5. 2*(i - 3)*(i + 4)/5 Suppose n**2/5 + 7*n/5 + 12/5 = 0. What is n? -4, -3 Factor 4356*d**2/7 - 132*d/7 + 1/7. (66*d - 1)**2/7 Let -12*q**4 + 105*q**3 + 36*q**2 - 81*q = 0. Calculate q. -1, 0, 3/4, 9 Factor -k**2/3 - 209*k/3 + 422/3. -(k - 2)*(k + 211)/3 Factor -2*j**2 - 444*j - 1744. -2*(j + 4)*(j + 218) Factor -2*w**2/9 + 298*w/9 - 296/9. -2*(w - 148)*(w - 1)/9 Let -3*s**2 - 6*s - 3 = 0. Calculate s. -1 Factor 4*g**2 + 272*g + 268. 4*(g + 1)*(g + 67) Factor 65*y**2 + 35*y - 30. 5*(y + 1)*(13*y - 6) Factor -u**5/3 + 3*u**4 + 10*u**3/3. -u**3*(u - 10)*(u + 1)/3 Suppose -2*r**4/7 + 50*r**3/7 - 90*r**2/7 - 50*r/7 + 92/7 = 0. Calculate r. -1, 1, 2, 23 Let 35*b**4 - 515*b**3 - 80*b**2 + 10940*b + 3120 = 0. Calculate b. -4, -2/7, 6, 13 Suppose s**3/5 + 132*s**2/5 + 131*s/5 = 0. What is s? -131, -1, 0 Determine q, given that 2*q**2 - 158*q - 160 = 0. -1, 80 Suppose 2*d**2/3 + 14*d/3 + 4 = 0. Calculate d. -6, -1 Solve 5*l**4/4 + 29*l**3/2 + 39*l**2 - 18*l = 0 for l. -6, 0, 2/5 Find q such that 2*q**3 + 68*q**2 + 378*q = 0. -27, -7, 0 Factor -b**5/4 - 5*b**4/4 - 5*b**3/2 - 5*b**2/2 - 5*b/4 - 1/4. -(b + 1)**5/4 Let -2*p**2 - 576*p - 41472 = 0. Calculate p. -144 Suppose -12*r**5 - 160*r**4 - 572*r**3 - 456*r**2 + 224*r + 256 = 0. Calculate r. -8, -4, -1, 2/3 Factor -2*q**2 - 42*q - 220. -2*(q + 10)*(q + 11) Let q**2/7 - 340*q/7 - 341/7 = 0. Calculate q. -1, 341 Factor 5*z**2 + 1965*z + 1960. 5*(z + 1)*(z + 392) Factor 3*o**3 - 246*o**2 + 5043*o. 3*o*(o - 41)**2 Factor g**2/4 - 5*g/2 + 6. (g - 6)*(g - 4)/4 Let s**4/5 + 88*s**3/5 + 1548*s**2/5 - 3456*s + 27648/5 = 0. What is s? -48, 2, 6 Factor 5*h**3 - 1705*h**2 - 6880*h - 6900. 5*(h - 345)*(h + 2)**2 Suppose -i**2/2 - 47*i - 1309/2 = 0. Calculate i. -77, -17 Factor -2*f**2/15 + 32*f/15. -2*f*(f - 16)/15 Let 3*t**3 - 6*t**2 - 24*t = 0. What is t? -2, 0, 4 Find c such that -4*c**3/7 + 4*c**2 - 16*c/7 - 48/7 = 0. -1, 2, 6 Suppose -3*w**3/8 - 3*w**2/8 + 9*w/4 = 0. What is w? -3, 0, 2 Let 5*a**4 + 28*a**3 - 445*a**2 + 504*a + 468 = 0. Calculate a. -13, -3/5, 2, 6 Determine o, given that -4*o**4 + 280*o**3 + 1504*o**2 - 280*o - 1500 = 0. -5, -1, 1, 75 Find x, given that x**2 + 27*x - 90 = 0. -30, 3 Factor d**5/6 + 103*d**4/3 + 10813*d**3/6 + 3502*d**2 + 1734*d. d*(d + 1)**2*(d + 102)**2/6 Determine f so that 3*f**4 + 9*f**3 - 12*f = 0. -2, 0, 1 Find s, given that 5*s**5 - 40*s**4 + 25*s**3 + 190*s**2 + 120*s = 0. -1, 0, 4, 6 Find o such that o**3/2 - 43*o**2/2 + 41*o = 0. 0, 2, 41 Solve 3*l**2 - 108 = 0 for l. -6, 6 Determine b so that -25*b**2 - 30*b - 9 = 0. -3/5 Solve -5*v**2 + 225*v + 230 = 0 for v. -1, 46 Factor -3*u**3/7 + 99*u**2/7 - 765*u/7 - 867/7. -3*(u - 17)**2*(u + 1)/7 Find l, given that 14*l**4/3 + 554*l**3 - 2156*l**2/3 + 160*l = 0. -120, 0, 2/7, 1 Suppose 4*d**4 + 156*d**3 + 1836*d**2 + 6804*d = 0. Calculate d. -21, -9, 0 Let -2*a**4/7 + 6*a**3/7 + 1206*a**2/7 + 2386*a/7 + 1188/7 = 0. What is a? -22, -1, 27 Factor 27*h**2/4 - 9753*h/4 + 1083/2. 3*(h - 361)*(9*h - 2)/4 Factor 2*p**2/7 + 40*p + 1350/7. 2*(p + 5)*(p + 135)/7 Suppose 48*q**2 - 312*q + 507 = 0. What is q? 13/4 Let 6*q**4 - 2*q**3 - 14*q**2 + 2*q + 8 = 0. What is q? -1, 1, 4/3 Factor -3*w**2 - 1095*w + 1098. -3*(w - 1)*(w + 366) Factor -2*y**4 - 2*y**3 + 12*y**2 + 8*y - 16. -2*(y - 2)*(y - 1)*(y + 2)**2 Let 2*c**4/7 - 10*c**3/7 + 12*c**2/7 = 0. Calculate c. 0, 2, 3 Factor -5*b**5 - 25*b**4 + 30*b**3 + 190*b**2 + 215*b + 75. -5*(b - 3)*(b + 1)**3*(b + 5) Factor -2*t**3/17 - 74*t**2/17 + 76*t/17. -2*t*(t - 1)*(t + 38)/17 Factor -822*l**3/5 - 328*l**2 + 8*l/5. -2*l*(l + 2)*(411*l - 2)/5 Factor -5*v**2/3 - 175*v/3. -5*v*(v + 35)/3 Determine y so that 4*y**5/9 + 434*y**4/3 - 218*y**3 + 2*y**2/9 + 218*y/3 = 0. -327, -1/2, 0, 1 Determine m, given that 2*m**2/5 - 28*m/5 - 352/5 = 0. -8, 22 Factor 36*g**4 - 1644*g**3 + 1617*g**2 - 402*g. 3*g*(2*g - 1)**2*(3*g - 134) Factor 2*k**2/5 - 474*k/5. 2*k*(k - 237)/5 Find y such that 25*y**3 + 40*y**2 + 5*y - 10 = 0. -1, 2/5 Factor -3*f**3/5 - 39*f**2/5 - 66*f/5. -3*f*(f + 2)*(f + 11)/5 Factor 156*b**3 - 327*b**2 + 30*b. 3*b*(b - 2)*(52*b - 5) Factor -140*p**4 - 412*p**3 + 24*p**2. -4*p**2*(p + 3)*(35*p - 2) What is w in w**4/6 + 50*w**3/3 + 1250*w**2/3 = 0? -50, 0 Suppose -2*v**3/7 + 10*v**2/7 = 0. Calculate v. 0, 5 Factor -42*s**2 + 94*s - 52. -2*(s - 1)*(21*s - 26) Let -l**4/4 + 61*l**3/4 - 1017*l**2/4 + 2639*l/4 - 841/2 = 0. Calculate l. 1, 2, 29 Let -9*l**3 - 26*l**2 + 13*l + 30 = 0. Calculate l. -3, -1, 10/9 What is v in v**5/4 - 21*v**4/4 + 75*v**3/4 + 361*v**2/4 + 102*v + 36 = 0? -1, 12 Factor -v**3/4 + 3*v**2/2 - 9*v/4. -v*(v - 3)**2/4 Factor 3*s**3 + 210*s**2 - 429*s + 216. 3*(s - 1)**2*(s + 72) Factor 2*j**4 + 18*j**3 + 46*j**2 + 30*j. 2*j*(j + 1)*(j + 3)*(j + 5) Find m such that 2*m**3/5 - 2884*m**2/5 + 2882*m/5 = 0. 0, 1, 1441 Factor v**3 - 4*v**2 - v + 4. (v - 4)*(v - 1)*(v + 1) Factor 27*l**4 + 81*l**3 - 45*l**2 - 325*l - 250. (l - 2)*(3*l + 5)**3 Let -4*r**3 - 32*r**2 - 80*r - 64 = 0. What is r? -4, -2 What is k in 27*k**3/4 - 18*k**2 - 33*k - 12 = 0? -2/3, 4 Factor 2*b**3 - 12*b**2 + 18*b. 2*b*(b - 3)**2 Determine p so that 2*p**5 + 42*p**4 + 292*p**3 + 644*p**2 - 294*p - 686 = 0. -7, -1, 1 What is c in -c**3/4 - 25*c**2/4 + 53*c/4 - 27/4 = 0? -27, 1 Factor 213*l**4 + 633*l**3 + 621*l**2 + 195*l - 6. 3*(l + 1)**3*(71*l - 2) Factor -30*j**3 + 185*j**2 - 30*j. -5*j*(j - 6)*(6*j - 1) Determine j so that 15*j**4 - 925*j**3 - 1255*j**2 - 315*j = 0. -1, -1/3, 0, 63 Factor -5*n**2 - 1375*n + 1380. -5*(n - 1)*(n + 276) Factor 3*y**2/2 - 360*y + 2133/2. 3*(y - 237)*(y - 3)/2 Factor -l**4 - 7*l**3 + 3*l**2 + 23*l + 14. -(l - 2)*(l + 1)**2*(l + 7) Factor -4*v**4 - 8*v**3 + 964*v**2 - 952*v. -4*v*(v - 14)*(v - 1)*(v + 17)
Round 0.428 to two decimal places. 0.43 What is -9244.5 rounded to the nearest 100? -9200 What is 0.000016153 rounded to 7 decimal places? 0.0000162 Round 113.3 to the nearest one thousand. 0 What is -77.03 rounded to the nearest one hundred? -100 What is 10005000 rounded to the nearest one hundred thousand? 10000000 What is -365 rounded to the nearest 10? -370 Round 0.00000003281 to 7 dps. 0 Round -723000 to the nearest 10000. -720000 Round -0.00001165 to 7 decimal places. -0.0000117 What is 85430000 rounded to the nearest 1000000? 85000000 Round 1844 to the nearest 100. 1800 Round -0.0371 to three dps. -0.037 Round 1618100 to the nearest 100000. 1600000 Round 2178400 to the nearest 100000. 2200000 Round -0.000011112 to 6 dps. -0.000011 Round -0.02559 to two decimal places. -0.03 Round 0.00045457 to 6 decimal places. 0.000455 What is -2117000 rounded to the nearest 100000? -2100000 Round 11.32 to the nearest integer. 11 Round -0.05257 to 3 dps. -0.053 Round -0.014607 to three dps. -0.015 Round 0.907 to one dp. 0.9 Round 0.9753 to 1 dp. 1 Round 0.1703 to two decimal places. 0.17 What is 344670 rounded to the nearest 1000? 345000 Round -58542000 to the nearest one hundred thousand. -58500000 Round -0.03347 to three dps. -0.033 Round -1 to the nearest ten. 0 What is -0.018245 rounded to 3 decimal places? -0.018 Round -0.00000501 to seven dps. -0.000005 What is 0.000036751 rounded to six decimal places? 0.000037 What is 934000 rounded to the nearest 10000? 930000 What is -0.056642 rounded to 4 dps? -0.0566 What is -4.0538 rounded to 2 dps? -4.05 Round -0.001699 to 4 dps. -0.0017 Round 618 to the nearest one hundred. 600 Round 0.0000001887 to seven decimal places. 0.0000002 Round -0.64848 to 2 decimal places. -0.65 Round 0.7738 to 2 decimal places. 0.77 Round 2009300 to the nearest 1000000. 2000000 What is -0.0000007471 rounded to seven dps? -0.0000007 Round 0.01547 to 4 decimal places. 0.0155 What is -8777000 rounded to the nearest one hundred thousand? -8800000 What is -0.0000003999 rounded to seven dps? -0.0000004 What is 234.331 rounded to the nearest integer? 234 Round -0.00005046 to 5 decimal places. -0.00005 What is -154900 rounded to the nearest 10000? -150000 Round -599.1 to the nearest one hundred. -600 What is -3.2175 rounded to two decimal places? -3.22 Round -3192 to the nearest one thousand. -3000 Round 0.000557685 to 4 decimal places. 0.0006 Round 0.0076135 to four decimal places. 0.0076 What is -0.0015777 rounded to five decimal places? -0.00158 Round -0.30599 to two dps. -0.31 What is -0.01613 rounded to 2 dps? -0.02 What is 0.010162 rounded to four dps? 0.0102 What is 18.828 rounded to the nearest 10? 20 Round -3.048 to 1 decimal place. -3 Round -0.0027736 to 4 dps. -0.0028 What is -4351800 rounded to the nearest 100000? -4400000 Round 297300 to the nearest ten thousand. 300000 What is 0.00005606 rounded to 6 dps? 0.000056 Round 0.09629 to two decimal places. 0.1 What is -0.0079538 rounded to three decimal places? -0.008 Round 0.0000005432 to 7 decimal places. 0.0000005 What is -0.15046 rounded to 2 decimal places? -0.15 Round -1067.67 to the nearest ten. -1070 What is 213210 rounded to the nearest 1000? 213000 What is -54938 rounded to the nearest 100? -54900 Round 0.0000301 to four decimal places. 0 What is 6.61 rounded to 0 decimal places? 7 Round -209.9 to the nearest 10. -210 Round 1635780 to the nearest one hundred thousand. 1600000 What is -0.1026 rounded to 3 dps? -0.103 What is -8.42 rounded to the nearest integer? -8 Round 0.01132 to 3 dps. 0.011 What is -8596 rounded to the nearest 100? -8600 What is -11.9252 rounded to the nearest integer? -12 What is -30314.5 rounded to the nearest one hundred? -30300 Round -0.00000039192 to 7 dps. -0.0000004 What is -0.005524 rounded to 4 decimal places? -0.0055 Round -0.9406 to 2 dps. -0.94 Round -509.6 to the nearest 10. -510 What is -0.84604 rounded to 2 decimal places? -0.85 Round 3521.7 to the nearest 10. 3520 Round -39097000 to the nearest 1000000. -39000000 Round -0.556265 to two decimal places. -0.56 What is 0.05339 rounded to three dps? 0.053 What is 0.000287 rounded to 5 dps? 0.00029 What is -0.00004176 rounded to six dps? -0.000042 Round 1.894 to 1 decimal place. 1.9 What is 101.5 rounded to the nearest integer? 102 What is 19580000 rounded to the nearest 100000? 19600000 What is -36981 rounded to the nearest one thousand? -37000 Round -0.000432 to four decimal places. -0.0004 Round 23040000 to the nearest one million. 23000000 Round -1.76344 to 1 decimal place. -1.8 What is -48870 rounded to the nearest 1000? -49000 Round 525900 to the nearest 100000. 500000 Round -12.7905 to two decimal places. -12.79 What is -161860000 rounded to the nearest one million? -162000000 What is -2991000 rounded to the nearest 1000000? -3000000 Round 161000 to the nearest one hundred thousand. 200000 Round -0.000263 to 5 decimal places. -0.00026 Round -1956000 to the nearest one hundred thousand. -2000000 Round 0.005074 to three dps. 0.005 Round -13530000 to the nearest 1000000. -14000000 Round -340390 to the nearest one hundred thousand. -300000 What is 74.33 rounded to the nearest 10? 70 What is 0.00006719 rounded to six dps? 0.000067 Round -2215.4 to the nearest ten. -2220 Round -0.0003549 to 5 decimal places. -0.00035 Round -28229000 to the nearest 100000. -28200000 Round -15.213 to zero decimal places. -15 What is 0.0001701 rounded to 4 decimal places? 0.0002 Round -6290.1 to the nearest 1000. -6000 What is -16133 rounded to the nearest one thousand? -16000 What is 0.04676 rounded to three dps? 0.047 Round -0.0001289 to six dps. -0.000129 Round 97910 to the nearest 10000. 100000 Round 0.000027926 to 6 dps. 0.000028 Round -19324000 to the nearest 1000000. -19000000 What is -0.0000054 rounded to 6 decimal places? -0.000005 What is -0.000000396 rounded to 7 dps? -0.0000004 What is 149.2 rounded to the nearest integer? 149 What is -0.011199 rounded to 4 decimal places? -0.0112 What is -420.8 rounded to the nearest 10? -420 Round -216700 to the nearest 10000. -220000 What is 0.0000696 rounded to 5 decimal places? 0.00007 What is 0.00122162 rounded to four decimal places? 0.0012 What is -0.3995 rounded to 2 decimal places? -0.4 Round -0.00077 to four dps. -0.0008 What is 2860 rounded to the nearest 10? 2860 What is 0.00004132 rounded to 3 dps? 0 What is 0.033001 rounded to 4 decimal places? 0.033 What is -0.045342 rounded to four decimal places? -0.0453 What is -0.00007861 rounded to 6 dps? -0.000079 Round -0.07466 to three dps. -0.075 What is 913.01 rounded to the nearest 10? 910 Round -0.00000043295 to 7 dps. -0.0000004 What is -13532.4 rounded to the nearest one hundred? -13500 Round 0.03259 to three dps. 0.033 Round 1244000 to the nearest ten thousand. 1240000 What is -111.6 rounded to the nearest 10? -110 Round 0.000000533 to seven dps. 0.0000005 What is -142.91 rounded to the nearest integer? -143 What is 1041540 rounded to the nearest 10000? 1040000 What is 0.00004902 rounded to 4 decimal places? 0 What is 8832300 rounded to the nearest 10000? 8830000 Round -0.00020126 to 6 dps. -0.000201 What is 767.7 rounded to the nearest 100? 800 Round -0.0000165 to four dps. 0 Round 820000 to the nearest one million. 1000000 Round 40089 to the nearest ten thousand. 40000 Round -0.000933 to 4 decimal places. -0.0009 Round 2554600 to the nearest 100000. 2600000 What is 0.022072 rounded to 4 decimal places? 0.0221 Round -180.027 to the nearest ten. -180 What is -89900 rounded to the nearest ten thousand? -90000 What is 9100 rounded to the nearest one hundred thousand? 0 What is -0.0000211 rounded to 5 dps? -0.00002 What is -0.000028025 rounded to six decimal places? -0.000028 Round 5101.1 to the nearest 1000. 5000 Round -0.000003333 to 6 dps. -0.000003 What is -1553300 rounded to the nearest 10000? -1550000 What is -0.049945 rounded to 3 dps? -0.05 What is 0.0000011674 rounded to 7 dps? 0.0000012 What is -0.00000941 rounded to six dps? -0.000009 What is 0.000010306 rounded to seven decimal places? 0.0000103 What is -153 rounded to the nearest ten? -150 Round -0.1281 to 3 dps. -0.128 Round 87.2527 to the nearest ten. 90 Round -33342000 to the nearest 100000. -33300000 Round 78700 to the nearest 10000. 80000 What is 0.003446 rounded to five dps? 0.00345 What is -29318000 rounded to the nearest one hundred thousand? -29300000 Round 7774000 to the nearest one million. 8000000 What is 2.665 rounded to one dp? 2.7 What is 0.000617 rounded to four decimal places? 0.0006 Round -63810 to the nearest one thousand. -64000 What is 6910000 rounded to the nearest 1000000? 7000000
Let b(f) be the third derivative of f**5/60 - 11*f**4/24 - 37*f**3/6 - 48*f**2 + 2. Let g be b(15). Which is smaller: 22 or g? 22 Let r(o) = -18*o**3 - 6 - 17*o**3 + 34*o**3 + 0*o**2 + 6*o**2 - 5*o. Let z be r(4). Let t(w) = 4*w**2 - 15*w + 15. Let y be t(z). Is y less than 68? False Suppose 24*o - 28*o + 1100 = -h, -3*h = -24. Are o and -0.09 non-equal? True Let a be -3*4/12*(165 + 4). Let j = a + -342. Is -512 less than j? True Let z = 21665 - 14166. Is z not equal to 7500? True Let r = -4673 + 6657. Do 1985 and r have the same value? False Let d = -0.58 + 75.58. Let f = 79 - d. Which is bigger: 1 or f? f Let k be ((-16)/(-5))/(-2) - -3. Let g be 7/21*-24 + 9. Is k bigger than g? True Let s be 4 + 0 - (-444516)/(-111120). Is s at least as big as 0? False Suppose 8*j = j. Suppose 2*a - 5*w = -j*a - 88, -2*a - 4*w - 88 = 0. Is a bigger than -44? False Suppose -4*j - 5*l = -77, 2*l = 2*j - 58 + 6. Let u = j + -12. Let g(k) = 5*k**3 - 112*k**2 + 46*k - 33. Let b be g(22). Is b at least as big as u? True Let o = 15743.48 + -15743. Which is smaller: 25 or o? o Let s = -1237/54 - -670/27. Let l = 11/27 - s. Are l and 1 unequal? True Let c = 98 + 370. Suppose -3*w + c = 15*w. Which is bigger: 24 or w? w Let j be ((-216)/(-7))/(18/168). Let p be ((250/4)/(-5))/(12/j). Which is greater: p or -298? -298 Suppose -5110*p - 41968 = -4938*p. Let u = 1.2 + -1.2. Which is bigger: u or p? u Let c = -92663/5 + 18443. Let b = 90 + c. Which is greater: b or 23.4? 23.4 Let p = -81 - -76. Let k be (-1)/(-1) + 13/p. Which is smaller: -1 or k? k Let h = 929 + -1529. Let w be (-60)/(-42)*16/h. Is w less than or equal to 0? True Let y = -268 - -230. Let i be y/90 - (-9)/15. Is i at most as big as 0? False Let k be 0 + 5 - (-10 + 252/27)*-6. Is 4/4361 bigger than k? False Let g = -78/395 - -36879/192760. Let n = 2057/17080 + g. Do -1 and n have different values? True Let h be -663 - -666 - (-176)/436*802/(-108). Which is smaller: h or 0? 0 Let r be (0 - (-15)/(-50))*10/(-76). Let k be (8/24)/(1/(-3)). Which is smaller: r or k? k Let s = 4346289291/11525315 - -12/311495. Let u = s - 377. Is 0 > u? False Suppose 25*y + 1242 = 1142. Is y > -59/14? True Let s = 0.0407 + 150.9593. Let k = 146 - s. Which is smaller: k or -46? -46 Suppose -470*c + 21486 = 941 - 4365. Let h(d) = d**3 - 3*d**2 - 4*d. Let k be h(4). Which is smaller: c or k? k Suppose 0 = 39*g - 46*g + 5572. Suppose -f + 3*q = 154, 0 = -2*f + 7*f - 2*q + g. Which is greater: -161 or f? f Suppose -q + 74 - 10 = 4*b, 0 = -4*q. Let o = 0.57965 + -0.55965. Which is smaller: b or o? o Let r(t) = t**2 + 14*t + 4. Let v be r(-14). Suppose v*b + 5*n - 66 = 0, -2*b - 2*n = 3*b - 91. Which is smaller: b or 21? b Let j(i) = i**2 - 10*i - 173. Let a be j(-10). Let g be (-1128)/a - (-96)/72. Which is bigger: g or -41? g Let u(d) = d**3 + 3*d**2 + d + 28. Let y be u(0). Let t be (-35)/y - -10*(-75)/(-216). Which is bigger: t or 1? t Let f(n) = n**3 + 8*n**2 + 13*n + 2. Let y be f(-6). Let i be ((-74)/y)/((-2604)/(-24)). Let t = i + 8/31. Is t equal to 0? False Let o = 16092 - 16097. Is o bigger than 0.0805? False Let m = 37861 - 37861. Let c = 4862/129035 + 8/985. Which is smaller: c or m? m Let y = 40.568 + -6.868. Let f = 1.3 + -1.3. Which is greater: f or y? y Let r(l) = l**3 + 32*l**2 + 4*l + 125. Let t be r(-32). Let g be (80/(-200))/(12/45*t). Which is smaller: g or 24? g Let j be 2/((135/(-3))/1). Let x = -81 - -101. Let m = -21 + x. Which is smaller: j or m? m Let j be 4/16 - (-31)/4. Suppose 3*r = 2*v - j - 5, 10 = -2*r. Let m = -17/341 - -10/31. Which is smaller: v or m? v Let p(l) = 122*l + 1298. Let y be p(-13). Is y != -2/17? True Suppose -4*u = 13 - 5, -5*a - 3*u + 14 = 0. Let p(m) = -a + 2*m - m - m**2 - 10*m. Let r be p(-5). Which is bigger: 14 or r? r Let t = 79 - 112. Let c(n) = n**3 - 2*n**2 - 7*n + 12. Let d be c(5). Let y = d + -54. Which is greater: y or t? y Let g = 0.412 - -2.588. Let n be (-20 + 8)*(-2)/3. Let r = -2 - n. Is r at most as big as g? True Let l(q) = -3*q**3 - 19*q**2 - 58*q - 339. Let b be l(-6). Let g be (-436)/16 - (-2)/(-4). Is g less than b? True Let o(q) = 166*q + 8. Let z be o(1). Let a = z - 174. Is -1/17 less than a? True Let k be -1 + 0 + (-5)/(-7). Suppose a + 123 - 11 = -5*n, 4*a = -4*n - 128. Is n smaller than k? True Let x = -37 + 21. Let o be 279/(-12) + (-10)/(-40). Let w(l) = -l**2 - 22*l + 9. Let r be w(o). Which is greater: x or r? r Let i = -10.01 + 1.976. Let s = 0.23 + -0.196. Let o = i + s. Which is bigger: 1 or o? 1 Let k(w) = -4*w**2 + 179. Let l(u) = -11*u**2 + u + 536. Let p(z) = 8*k(z) - 3*l(z). Let h be p(-16). Does 130 = h? False Let a = 3799/55 + -234/11. Let v = -5955 + 5955.1. Is a >= v? True Suppose 726*h + 626 = 724*h. Let s = h + 317. Which is greater: s or -48? s Let h = -4.75 + 77.55. Let i = h - 71. Which is greater: i or 0? i Let x(p) = -325*p + 634. Let j be x(-14). Is 5184 less than j? False Let a = 5636 + -5580. Let x be (-2)/3*(75/35)/5. Which is smaller: x or a? x Let n = 80.85 + -80.85. Let d = -0.02 - -0.08. Let r = d + 10.94. Do r and n have the same value? False Let u be ((-34)/(-5950))/(32/(-12)). Which is smaller: u or -1? -1 Suppose 0 = -5*q + m - 47, 0 = 2*q - 4*m + 7 + 1. Let x = q - -1. Let f(o) = -o**3 - 9*o**2 + 4*o + 98. Let l be f(-8). Which is bigger: l or x? l Let y = -20 - -27. Suppose -4*v + 25 - 13 = 0. Suppose -r - v = s, r + y = s - 4*s. Is -3/5 less than or equal to r? False Let l be ((-1)/(-2))/((-13)/(-338)). Suppose -11*a + 7*a = 0. Suppose t = a, 3*w - t - 42 = t. Which is bigger: w or l? w Let v = 100 + -100. Suppose v*n - 8*n + 16 = 0. Let r = 210 + -2280/11. Which is smaller: n or r? n Let q(r) = 241 - 9*r + 15*r + 3*r**3 - 243. Let h be q(4). Is h at most as big as 214? True Suppose -4*j + 5*h + 1 - 9 = 0, -24 = -4*j - 3*h. Suppose 0*y + y + j*o = -14, 24 = -y - 5*o. Which is smaller: 50 or y? y Let f = -108 - -755/7. Let b(j) = j**3 - 8*j**2 + 9*j - 22. Let p be b(7). Let k = p + 4. Is k at most as big as f? True Let n = -360/13 + 364667/13169. Do n and 0 have the same value? False Suppose 0 = -3*w - d + 90, 0 = 4*d + 2 + 10. Suppose 2*f + 2*x - 3*x = 15, 4*f = 3*x + w. Is 8 not equal to f? True Suppose 3*c + 17 - 2 = -3*q, -3*q - c - 5 = 0. Suppose y + 0*x + 6 = 4*x, -y - 3 = -3*x. Let d be y/160*(-36)/81. Which is smaller: q or d? d Let s be ((-176)/24)/(-11) - 14/3. Let c be s/(-18) - (0 - (-2362)/18). Which is smaller: c or -132? -132 Let s = 2799.98 + -2800. Which is smaller: s or 196? s Suppose 140*v + 10160 + 112060 = 0. Which is smaller: v or -872? v Let r be (-110340801682)/(-852) + 3 + 1. Let a = -129507828 + r. Let p = -955/6 + a. Is 0 > p? False Let o = -11598/13 - -16712848/18733. Is o greater than 0.2? False Suppose 0*p - 5*q = -2*p + 114, -2*p = 4*q - 78. Suppose 2*m + p = -57. Let v = m - -44. Which is smaller: -10 or v? -10 Let z(d) = -d**3 + 24*d**2 - 43*d + 32. Let b be z(22). Let x = b - -102. Which is greater: 2/7 or x? x Let s be (0 - (-81)/6)/(1/2). Suppose s + 3 = -5*t. Let d = t + 15. Is d > 3? True Let w = 3446 - 3171. Is w bigger than 270? True Let x(g) = -149*g - 266. Let h be x(-16). Let f = h + -417244/197. Which is smaller: f or 1? f Let l(y) = -y + 11. Let h be l(-6). Let s(o) = -20*o + 3. Let w be s(-4). Suppose 0 = 2*a - h + w. Is -34 at least a? False Suppose 5*l = 7 + 3. Suppose -2*x = -3*r - 1, -r - 2*x + 6 + 7 = 0. Suppose -6*u + 37 = -2*y - 5*u, 0 = -u - r. Are l and y non-equal? True Let a be 6069/33 - 600/660. Is a smaller than 183? False Let v be 1/(-1908) + 0/(-11). Is 1 bigger than v? True Suppose -f = -12 - 36. Let t(a) = -a**3 + 16*a**2 + 37*a + 31. Let b be t(18). Which is smaller: f or b? f Let r be ((-2079)/20275332*(-8)/(-6))/(6/4). Is r greater than -1? True Let c = 0.193 + 95.807. Let i = c - 95. Let l be (-13)/6 - 3/9. Which is greater: l or i? i Let g(o) = -23*o**2 - 8*o + 2. Let k be g(3). Let l = k + 253. Is 22 bigger than l? False Suppose 0 = -4*w - 4*z - 164, -5*w + 0*w + 3*z = 221. Let a = -41.39 + 40.99. Is a less than w? False Let n = -1588294 + 729026452/459. Let j = n + 37/27. Are j and -1 nonequal? True Let j = 3 + -4. Let t be (-13962)/(-39780) - (-1)/(-9)*3. Is j > t? False Suppose 447*p + 442*p = 891*p + 2576. Which is greater: -1286 or p? -1286 Suppose 9 = v + f + 8, -f = -5*v - 1. Is v equal to 13/51? False Let y = 5 - 5. Suppose -16*s + 11*s = 2910. Let i = s - -13392/23. Which is bigger: y or i? i Let s(y) = 3*y**2 + 30*y - 23. Let q be s(-11). Let i be (-10)/((-450)/(-27)) + 26/q. Does 54 = i? False
Suppose 2*v + 2*s + 7 = -s, 0 = s + 3. Suppose 3*f = 2*g - v, 2*g - 22 = -0*g - 4*f. Suppose 17 + 13 = g*b. Calculate the highest common divisor of b and 15. 3 Let v = 290 + -278. Suppose 10*i - 44 = -3*m + v*i, -4*m + 28 = 5*i. Suppose 27 + 93 = 2*q. What is the greatest common divisor of q and m? 12 Let s be (-20)/(-4) + -1 + 1. Suppose s*m = m + 12. Suppose 4*g = 309 + m. What is the highest common factor of 195 and g? 39 Let p(c) = 106*c + 1126. Let r be p(14). Calculate the greatest common divisor of 180 and r. 90 Let k be (1541 - -3) + 484/(-242). What is the highest common divisor of k and 18? 6 Let o be -99*(965/(-45) + 17). Calculate the greatest common factor of 9460 and o. 220 Let m(q) = 24*q**2 - 48*q + 434. Let s be m(7). What is the greatest common factor of s and 238? 14 Suppose -53*i - 4169 + 9170 + 4380 = 0. Calculate the highest common divisor of i and 183. 3 Suppose -2*h - 10051 = -0*h - 25*h. What is the greatest common divisor of 57 and h? 19 Let p be (1 - 33/6)*-2. Suppose -j - p = -3*s + 2*s, -3*j = 3. Calculate the highest common divisor of 16 and s. 8 Let c be (214 - 1) + 0 + -5. Let g = c + -197. What is the greatest common factor of g and 407? 11 Let z be 2/12 + -2937*((-570)/(-108))/(-19). What is the greatest common divisor of 1200 and z? 48 Let b be 6/(-2) - (-203014)/(5 - -2) - 5. What is the greatest common factor of b and 532? 266 Suppose 2*i = -3*j - 2*j, 2*i = -4*j - 2. Suppose 0*m - j*m = -5*a - 25, 5*m + 3*a = 78. What is the highest common factor of m and 465? 15 Let d be ((-1 + 30)/(-1))/((-60)/480). Calculate the greatest common divisor of 2581 and d. 29 Let w(a) = 19*a**3 - a**2 + 1. Let y(g) = g**3 + g**2 - 1. Let x be y(1). Let h be w(x). What is the highest common factor of h and 247? 19 Let j be (68/8 + -7)/(1*9/30). What is the highest common factor of j and 2800? 5 Suppose 3*m = 4*m - 2, 5*m = -5*f + 1010. Suppose 117*d - 912 = 114*d. Let c be 946/38 - (-32)/d. Calculate the highest common divisor of f and c. 25 Let y be -6*(-13 - 51360/36). What is the highest common factor of y and 56? 14 Let k(w) = -12*w**2 + 939*w - 176. Let l be k(78). Calculate the highest common divisor of 3712 and l. 58 Let n = -726 + 873. Calculate the greatest common factor of n and 105. 21 Let r(f) = f**2 - 12*f + 7. Let v be r(12). Suppose -6*y - y = -v. What is the highest common divisor of 19 and y? 1 Suppose -2*j - 47 + 39 = 0. Let n be (-5 - -15) + j + 2. Let l be ((-20)/n)/(2/(-96)). What is the highest common divisor of 15 and l? 15 Suppose 0 = 17*n - 12*n - 10*n + 1400. Let y be 0/1 + (-80)/(-1). Calculate the greatest common factor of n and y. 40 Suppose 27*b = 30*b + 9, -24 = -3*o - 5*b. Let d(l) = -l**3 + 18*l**2 - 40*l - 25. Let j be d(o). Calculate the highest common divisor of 6 and j. 6 Let k(p) = p**2 - 11*p + 25. Let c be k(3). Let l be ((-14574)/30 + c/(-5))*-1. What is the greatest common factor of l and 54? 54 Let v = 15 - 8. Let m = v - -11. Let n be (m/30)/((-3)/(-15)). Calculate the highest common factor of 12 and n. 3 Let g(i) = i + 23. Let f be g(0). Let a be 3966/(-14) + 24/84. Let d = a - -467. What is the greatest common factor of d and f? 23 Suppose -12*p + 13*p + 2*z - 191 = 0, -p + 203 = -z. Let d = -124 + p. Calculate the greatest common factor of 6 and d. 3 Let f = 2802 - 1911. Calculate the greatest common divisor of f and 407. 11 Let h = -7898 + 9933. Calculate the greatest common divisor of h and 33. 11 Let d(a) be the second derivative of -a**4/12 + 19*a**3/3 + 147*a**2/2 - 61*a. Let w be d(41). What is the highest common divisor of 92 and w? 4 Suppose 40 = 14*m - 6*m. Suppose 5*c - 40 = -s, -s + 6*s - 200 = -m*c. Calculate the greatest common divisor of s and 32. 8 Let x(d) = -135*d - 4247. Let g be x(-34). What is the greatest common divisor of g and 3283? 49 Let h(v) = v**2 + 4*v + 5. Let a be h(0). Suppose -20 = -4*j + 5*f, 0*j + 6 = j - f. Calculate the greatest common factor of a and j. 5 Let k be ((-44)/(-5))/(12/210). Let o = 620 - 598. What is the greatest common factor of o and k? 22 Let v = -11272 + 12087. Calculate the greatest common divisor of 5 and v. 5 Suppose -n - t + 5 = -3*n, 2*t + 8 = -2*n. Let b be n + 2/(4/26). Suppose -14 = -8*d + 146. What is the greatest common factor of d and b? 10 Let w be -11 + ((-298008)/(-24) - (-6)/1). What is the greatest common factor of w and 116? 116 Let b be (35/(-10))/((-1)/254*1). Suppose -10*x = -3*x - b. Suppose x + 47 = 6*m. Calculate the highest common divisor of m and 116. 29 Let r be 1/(-6) + 72516/72. Calculate the greatest common factor of r and 265. 53 Let u = 98 - 78. Suppose u*a - 14*a - 300 = 0. Suppose -5*t - 175 = -2*j, -2*j + 3*t + 109 = -56. What is the highest common factor of j and a? 25 Let n = 14480 + -14337. What is the greatest common divisor of n and 13? 13 Suppose -v + 38 = 2*v - 100. What is the highest common divisor of v and 138? 46 Let t be (-112 + 6 + 0)/(-6 - (-25)/5). Calculate the highest common divisor of t and 11819. 53 Suppose 0*v - 15 = -5*v - u, 3*v - 3*u - 27 = 0. Suppose 5*b - 4*l - 262 = 0, -b + 35 = l + v*l. What is the greatest common divisor of b and 10? 10 Let s(f) = f**2 - 8*f + 7. Let m be s(7). Suppose -5*t - v = -45, 4*t - 2*v = -m*v + 50. Let x = -26 + 36. What is the highest common factor of t and x? 10 Let c be 2*((-222)/(-12) - 0). Suppose 0 = -5*j + 1448 + c. Calculate the greatest common divisor of 11 and j. 11 Let u be (22882/26)/1 - 542/7046. What is the highest common divisor of 209 and u? 11 Suppose 0*m - 6 = -3*m. Suppose 0 = -m*a - 2*a + 16. Let o(c) = 4*c**2 + 2*c - 6. Let r be o(a). Calculate the highest common factor of r and 6. 6 Let z(j) = -25*j + 11. Let m be z(0). Suppose u = 2*r + 57, 6*u - u = -r + 274. Calculate the highest common factor of u and m. 11 Let i(g) = -658*g + 157949. Let x be i(240). Let p(v) = 79*v**2 - v + 1. Let h be p(-2). What is the greatest common factor of x and h? 29 Let p = 15 - 5. Let h(a) = -a**2 + 11*a - 9. Let u be h(p). Let i(q) = q**3 - q**2 + 1. Let n be i(u). Calculate the greatest common divisor of 7 and n. 1 Let i(f) = 20*f - 95. Let d(p) = 7*p - 32. Let n(v) = 17*d(v) - 6*i(v). Let a be n(0). Let s = -12533 - -12546. Calculate the highest common divisor of s and a. 13 Let z = -7 + 12. Suppose 120 = 5*v - z*r, 3*r + 34 = v + 4. Let j be (-294)/(-48) + -6 - (-6715)/40. What is the greatest common divisor of v and j? 21 Let h = -44 + -42. Let j be h/2 - (2 + 3). Let d = -36 - j. What is the greatest common factor of 84 and d? 12 Let p = 282 - 255. Let o(j) = 21*j**2 + j. Let m be o(-5). Let q = -331 + m. Calculate the greatest common divisor of q and p. 27 Suppose -64*i = -89*i + 70*i - 293265. What is the highest common factor of i and 798? 133 Let n(h) = -h**3 + 13*h**2 + 10*h - 140. Let l be n(10). Calculate the highest common divisor of l and 470. 10 Let p = -130 + -162. Let b = -228 - p. What is the greatest common divisor of b and 240? 16 Let w(v) = -v**3 + 19*v**2 - 17*v - 21. Let t be w(18). Let g be ((-231)/22)/(t/56). What is the highest common factor of g and 28? 28 Suppose 0 = -5*u + 7*y - 3*y - 36, -5*u - 2*y - 12 = 0. Let l(v) = -34*v - 94. Let k be l(u). Calculate the highest common factor of k and 21. 21 Let d(u) = -8*u**2 + 12*u**2 + 3 - 5*u - 2*u**2. Let p be d(3). Suppose -8 - 12 = -3*v + 5*r, -2*v + p = 4*r. Calculate the greatest common factor of 5 and v. 5 Suppose 1269 = 5*n + 4*j, -26*n + j = -28*n + 507. What is the highest common factor of n and 989? 23 Suppose -2*b + 362 = -5*d, 5*b + 142 = -d + 1074. Calculate the greatest common factor of b and 7130. 62 Suppose -77*w = -74*w, 0 = -3*q - 2*w + 15594. Calculate the highest common factor of q and 46. 46 Let v = -108 - -223. Suppose -3*h = -196 + v. Calculate the highest common divisor of 54 and h. 27 Let t be 8 + 290*(-10)/(-20). What is the highest common divisor of 72 and t? 9 Let m be 4896/(-828) + 4/(-46) + 285. What is the greatest common divisor of 4278 and m? 93 Let v(x) = 4*x - 32. Let b be v(17). Suppose 126*d - 540 = 123*d. What is the greatest common divisor of d and b? 36 Let s(c) = c**2 + 152*c - 3817. Let n be s(22). What is the greatest common factor of n and 1111? 11 Let f = -214 - -236. Let r(v) = -v**3 + 24*v**2 - 41*v - 46. Let k be r(f). Calculate the greatest common factor of k and 600. 20 Let w(o) = -2228*o + 1392. Let i be w(-2). What is the greatest common factor of 516 and i? 172
Solve 3000*y - 5455*y = -3435*y + 42140 for y. 43 Solve -7812384*b + 7812257*b + 5715 = 0 for b. 45 Solve 99711 = -29*w + 102263 for w. 88 Solve -39950*h + 39994*h = -2024 for h. -46 Solve 23*o - 8*o - 1129 = -379 for o. 50 Solve 0 = -710765*z + 710936*z - 9063 for z. 53 Solve -477*s + 1806*s + 191784 = 17685 for s. -131 Solve 2596712 - 2598920 = 46*y for y. -48 Solve 910*k - 22677 = -118*k - 8285 for k. 14 Solve 0 = 840*b - 34543 - 15813 - 5084 for b. 66 Solve 39*q = 128*q + 67*q + 122*q - 21684 for q. 78 Solve -3959*t - 9088 = 2770*t + 27359 - 2802 for t. -5 Solve 15*z + 9*z + 12950 = -151*z for z. -74 Solve 670*g = -607*g + 11493 for g. 9 Solve 493*s + 593*s = -77*s - 171817 + 52028 for s. -103 Solve 0 = -15633*q + 22523*q - 241150 for q. 35 Solve 102*y - 87359 = -78995 for y. 82 Solve -272*r + 4901 = -1134 - 5933 for r. 44 Solve 5*n = n + n - 5*n - 616 for n. -77 Solve -20481 - 34638 = 967*m for m. -57 Solve -3472*f = 535*f + 172301 for f. -43 Solve 58*b + 10380*b + 1246400 = -6971*b + 1829*b for b. -80 Solve -48230 = 1536*d - 14438 for d. -22 Solve -201*a - 62*a + 12960 = 555*a + 46*a for a. 15 Solve -15099*x = -14223*x - 9636 for x. 11 Solve -48*f + 150 + 387 + 106 = -461 for f. 23 Solve 2748 = 861*u + 44937 for u. -49 Solve 134*k - 16386670 = -16403152 for k. -123 Solve 7030*b - 2005*b = 110550 for b. 22 Solve 1652 + 4560 = -1263*j + 1160 for j. -4 Solve -102*g - 323*g = 535*g - 24960 for g. 26 Solve 2895 = 36*m + 2355 for m. 15 Solve 400 - 2335 = 45*b for b. -43 Solve 7695 - 4807 = -304*z - 9556 - 6100 for z. -61 Solve 37488*x + 401585 + 511157 + 3323402 = 0 for x. -113 Solve 786*j + 26302 - 2661 + 30904 = 15245 for j. -50 Solve 0 = 1258*x - 28802 - 5164 for x. 27 Solve 243201*m - 17169 = 243492*m for m. -59 Solve -135*s = 73437 - 80187 for s. 50 Solve 1497*k + 45790 - 16163 = -63187 for k. -62 Solve 393*k - 11762 = 3301 - 1308 for k. 35 Solve 2474*y = -1119*y - 5315*y + 53448 for y. 6 Solve -2077 = -2832*s - 345*s + 152*s + 155223 for s. 52 Solve -153*m + 76 - 128 - 407 = 0 for m. -3 Solve -5536*b + 113009 = -2778 - 376917 for b. 89 Solve 30*z - 19*z = -43*z - 29*z - 1909 for z. -23 Solve -161588*x - 54 = -161642*x for x. 1 Solve 940 - 212 = -182*z for z. -4 Solve -629*q + 135975 = -465*q + 254*q + 877*q for q. 105 Solve 200766*h - 198769*h + 273589 = 0 for h. -137 Solve -1496*j = -62873 - 29879 for j. 62 Solve -3*a - 86 - 94 + 42 = -3 for a. -45 Solve 163*h + 29695 = -1148*h - 399*h - 154985 for h. -108 Solve 133*z - 9367935 = -9352640 for z. 115 Solve -315*r + 11 = 292*r - 606*r for r. 11 Solve 0 = -450*h - 875147 + 863897 for h. -25 Solve -656*u - 4395 + 13275 = -545*u for u. 80 Solve 0 = -6254*k - 5957 - 4263 - 16809 + 2013 for k. -4 Solve 1764*a + 1558 = 1802*a for a. 41 Solve 9*x + 24*x + 2115 = 7*x - 19*x for x. -47 Solve -1708*y + 3363*y = 1755*y - 1600 for y. 16 Solve 673*t - 76704 = -74*t - 1509*t for t. 34 Solve -158*v + 191*v + 267*v + 68 = 1268 for v. 4 Solve -1970715*f - 11837 = -1971338*f for f. 19 Solve 80*u = -489 + 569 for u. 1 Solve -893 = -46*u - u - 564 for u. 7 Solve 2893*g - 15818 - 21054 = 75955 for g. 39 Solve -238802*x + 238839*x - 518 = 0 for x. 14 Solve 20825 - 10415 - 10410 = 66*c for c. 0 Solve -667*w - 10131 = -693*w + 3403*w for w. -3 Solve -917 - 1428 = -53*c - 172 for c. 41 Solve 1425*j - 426*j = 358*j + 480*j - 8050 for j. -50 Solve 9663*w - 3142*w + 11750 = 3200*w + 3196*w for w. -94 Solve -143*h - 25997904 = -25*h - 25998730 for h. 7 Solve -15745 + 16285 = 45*j for j. 12 Solve -81*l - 28348 = -26323 for l. -25 Solve -11457*x = 11372*x - 22961*x + 1452 for x. 11 Solve -4858*z + 199305 = -364223 for z. 116 Solve 2800*t = -1970*t + 21141 - 181723 + 7942 for t. -32 Solve -376*d - 501 = 259 - 15800 for d. 40 Solve 5923*m - 276653 = 66881 for m. 58 Solve 69*g - 18093 - 21241 = -908*g - 8070 for g. 32 Solve 197*y - 19*y + 61*y = -422*y - 5949 for y. -9 Solve -46*g - 91*g - 3024 = 31*g for g. -18 Solve -29978*z = -29825*z - 1683 for z. 11 Solve -10577*l = 6561*l - 308424 - 334818 + 43412 for l. 35 Solve 0 = -23*y + 39277 - 39576 for y. -13 Solve -154*j + 564*j + 1866 = 523*j - 10112 for j. 106 Solve 1432*u - 10411 + 7580 = 15785 for u. 13 Solve 0 = 227*a + 3180 + 8170 for a. -50 Solve 39221 + 11027 = -1142*b for b. -44 Solve -3056*y + 30028 = 492*y - 218332 for y. 70 Solve -2493*k + 36861 = -15136 - 52709 for k. 42 Solve -189*f = -6*f + 78*f + 9918 for f. -38 Solve -50592 = -1552*k - 29*k for k. 32 Solve 1958*f + 2609*f - 41214 = 40992 for f. 18 Solve 262*a - 139*a - 9017 = -139*a - 1419 for a. 29 Solve -362*d + 1617 + 57 = -2352 + 406 for d. 10 Solve -5997 + 4962 = -23*b for b. 45 Solve -505*b = 962 + 3583 for b. -9 Solve -642*z - 42928 - 44724 - 86564 = -3204*z for z. 68 Solve -1935*z = 327*z + 823*z - 43190 for z. 14 Solve 120*s + 137*s - 4242 = 4753 for s. 35 Solve 33*d + 15033 = 15924 for d. 27 Solve -823*b + 59939 - 6444 = 0 for b. 65 Solve -220*o = 513 + 6747 for o. -33 Solve 16499 - 11839 = 466*d for d. 10 Solve -12047 = -2569*k - 81474 - 43609 for k. -44 Solve 342519 = -5364*z + 9047*z for z. 93 Solve -6123*s + 21338 = -5896*s for s. 94 Solve -98909*v + 98848*v = -976 for v. 16 Solve 9196 = -810447*t + 810656*t for t. 44 Solve 3090*n + 2468*n + 408975 = 105*n for n. -75 Solve 1982*l = 1685*l + 6534 for l. 22 Solve -503*n - 3904 = -913*n - 31374 for n. -67 Solve -434*w - 1939 = -711*w for w. 7 Solve -1240 - 39238 = -1385*i + 1072 for i. 30 Solve -8148*o - 4652*o - 631123 = -2103*o for o. -59 Solve -557*q - 12697 - 10367 = -9139 for q. -25 Solve -15*r - 98*r = -171*r - 1160 for r. -20 Solve 185 = -714*d + 709*d for d. -37 Solve -255885 = -1713*y + 9024*y for y. -35 Solve -84120*j = -84073*j - 4418 for j. 94 Solve -867*f + 20654 = -7090 for f. 32 Solve -3651*d + 7681*d = 197470 for d. 49 Solve 3451 = 772*r - 720 - 3549 for r. 10 Solve -32048 - 7340 = -916*c for c. 43 Solve -1383*k + 2595 = -864*k for k. 5 Solve -787 = 424*c - 8843 for c. 19 Solve -226*v - 178*v - 12963 = 43*v for v. -29 Solve -59*f = 97*f + 6*f + 6480 for f. -40 Solve 176*o = 592 + 3974 - 694 for o. 22 Solve -104407537 = -269*b - 104379292 for b. 105 Solve -186*u - 70 = -428*u - 7088 for u. -29 Solve 0 = -3378*u + 1649*u - 44954 for u. -26 Solve -477901*f + 476194*f + 13656 = 0 for f. 8 Solve -665*o = -260*o - 217*o - 252*o - 1728 for o. -27 Solve -2629*n + 77428 = -518*n + 867*n for n. 26 Solve -422*q - 5461 - 12924 - 17483 - 9286 = 0 for q. -107 Solve 0 = -13*d - 7*d + 2*d - 24*d + 3402 for d. 81 Solve 3122 - 7073 = -173*p + 5045 for p. 52 Solve -4908146*w = -4908288*w - 16614 for w. -117 Solve -7523*i - 113125 + 770924 = -56886 for i. 95 Solve -733*o - 726*o - 176 = -1437*o for o. -8 Solve 1304*i - 654*i + 102 = 656*i for i. 17 Solve -123*p - 928*p - 1822*p + 332748 = 208*p for p. 108 Solve -2037856*w = -2037871*w - 315 for w. -21 Solve -472*z - 71147 = 868*z - 2807 for z. -51 Solve 677*p + 27999 + 17081 = -128*p for p. -56 Solve -1137 + 72 = 23*j - 398 for j. -29 Solve -26*z + 29408 - 28524 = 0 for z. 34 Solve -2385 - 773 = 87*j - 113 for j. -35 Solve 1742*u = 31091 + 57751 for u. 51 Solve 54*t + 12*t + 7707 = -1510 + 439 for t. -133 Solve 0 = -335*l + 283*l + 832 for l. 16 Solve 4655 - 12927 = -81*g - 295*g for g. 22 Solve -11*g - 40*g + 10554 = 207*g - 2862 for g. 52 Solve -1624*u = -508*u + 35712 for u. -32 Solve 0 = 97*z + 133523 - 129255 for z. -44 Solve -1222*m - 2890 + 640 = -97*m for m. -2 Solve 3734*n = 3080*n - 15042 for n. -23 Solve -98830 + 38938 - 355932 = 8663*p for p. -48 Solve 10194 = -1785*x - 4086 for x. -8 Solve 3392 = 1399*b - 1505*b for b. -32 Solve 23*a + 194 = -23*a - 134 - 86 for a. -9 Solve -85613 = -1413*z + 4872*z + 132304 for z. -63 Solve -6550 = 157*w - 2625 for w. -25 Solve 56*h + 45*h + 4804 = -3495 + 1027 for h. -72 Solve 6110 + 16626 = -1624*m for m. -14 Solve 188*r + 113820 = 1018*r + 254*r for r. 105 Solve 0 = 29*a - 232*a - 262*a - 29760 for a. -64 Solve 2766*p + 8319 - 4648 - 137368 = 43327 for p. 64 Solve 2553 - 4942 = 1234*g + 25993 for g. -23 Solve 0 = 67*y + 630*y - 25789 for y. 37 Solve -931*g + 1753*g - 310154 = -3061*g - 43*g for g. 79 Solve 178*k - 432 = 72*k + 90*k for k. 27 Solve 0 = -823*f + 473*f + 350 for f. 1 Solve 100*a = -298*a - 3410 + 25300 for a. 55 Solve 38103*v - 37990*v = -4181 for v. -37 Solve 119*c - 5754 = -146*c + 4846 for c. 40 Solve 2*r + 5*r + 308 = -15*r for r. -14 Solve 257*o - 167*o = -963*o - 841*o + 18940 for o. 10 Solve -181*l - 568*l - 46410 = 45*l + 311*l for l. -42 Solve 27514*n - 55085*n + 27512*n - 4543 = 0 for n. -77 Solve 0 = -78*j + 184*j + 231*j + 12*j - 11517 for j. 33 Solve 69*b + 323 + 247 = -617 + 152 for b. -15
Let s = 10.4 - 9.4. What is the fourth biggest value in 5, s, -8, -1? -8 Let j = 16.06 + -16. Which is the second biggest value? (a) j (b) 0.5 (c) 1 b Let k be (12/(-9) - -2)*(-90)/160. Let p = 7 - 6.7. What is the smallest value in -8, p, k? -8 Let j = 0.02 - -0.08. Let h = -14 - -12. Which is the second biggest value? (a) -5 (b) j (c) h c Let a be (6/33)/(0 - 1). What is the second biggest value in 0, a, -0.4? a Let k = -24 - -19. Which is the second smallest value? (a) -14 (b) k (c) -3/4 b Let t be (-3 - -2)*-6 + -1. Suppose 2*k + 2*k - t*u + 5 = 0, -3*k + 40 = 5*u. Let w = -8 - -8.3. Which is the second smallest value? (a) 4 (b) w (c) k a Let k be (2 - (-2 + 7)) + 2. Let x = -6 - -1. Let z = -5.3 - x. What is the third biggest value in z, k, 3? k Suppose 0 = 2*w + 4 + 2. Which is the smallest value? (a) 12 (b) 2/7 (c) -5 (d) w c Let m = 2137/44 + -195/4. Which is the third biggest value? (a) 2 (b) 0.9 (c) 1/3 (d) m c Let t = 2/495 - 1499/3465. Let g = 0.1 + -0.1. Which is the second biggest value? (a) g (b) 2/5 (c) t a Let w(k) = -k**3 - 3*k**2 - 4*k - 3. Let x be w(-2). Which is the third biggest value? (a) 0.3 (b) -1/5 (c) x b Let j = 61 - 60.6. Which is the biggest value? (a) 2/15 (b) j (c) -4 b Let h be 45/15 + 9/(-3). What is the third biggest value in -5, h, -0.7? -5 Let o = -0.09 - -4.09. Let k = -2.9 + -0.1. Let b = k + o. What is the second smallest value in 3, b, 0.4? b Let o = -8 + 5. Let k be (-4)/(-15) + 2/o. Let m(i) = -i**2 + 8*i + 13. Let d be m(9). What is the third smallest value in d, k, -5? d Let t(r) = 3*r + 3. Let y be t(-2). Let d = 4 + y. Let f be d + -2*(-3 + 2). What is the third smallest value in -5, 2, f? f Let z = 0.05 - 2.05. Let w = 248 - 745/3. Which is the biggest value? (a) w (b) -3 (c) z a Let i be 2*(2/24)/(1/2). Let n = -1.59 + -0.01. Let s = n - 0.4. Which is the second smallest value? (a) i (b) s (c) 1 a Let x(v) = -v**3 - 12*v**2 - v - 5. Let q be x(-12). What is the smallest value in q, 1/2, 3/4? 1/2 Let t be (-1)/((-1 + 3)/(-26)). Let p = 116/9 - t. Let y = 34 - 32. What is the second biggest value in p, 0.3, y? 0.3 Let c = 1.06 + -1.46. Let v = -0.4 - -5.4. What is the second smallest value in v, 0.5, c? 0.5 Let b = 12 - 51. What is the third smallest value in 2, -2/9, b? 2 Let q(s) = -s - 13. Let n be q(-10). Let g = -0.38 + 0.08. What is the third smallest value in g, n, -1/2? g Let y = 5.17 - 0.17. What is the second biggest value in -1/7, 0, y? 0 Let d = -1 + -5. Let x(n) = -n**2 - 7*n - 1. Let v be x(d). Suppose v*g = -3 - 7. Which is the biggest value? (a) 1/9 (b) -5 (c) g a Let l = -2 - -4. Suppose -5*s - 12 = 4*d + 16, -d + 14 = -4*s. What is the second biggest value in s, 1/7, l? 1/7 Let x = 5 + -5.5. What is the fourth smallest value in 0.1, x, 0.3, -0.08? 0.3 Let d = 0.3 - 0.2. Let u be -1*15/(-2) - 8. Which is the third biggest value? (a) -2 (b) d (c) u a Let v = 0.063 + 0.337. Which is the third biggest value? (a) -1 (b) 1 (c) 3 (d) v d Let c = -0.6 - -0.3. Let y = -2.7 + c. Let z = -0.052 + -4.948. What is the smallest value in z, y, 0.3? z Let k(x) = -x**3 - 8*x**2 + 5. Let n be k(-8). Suppose -n*p = -2*g + 9, -g = 3*p + 4 - 3. Let i = 0.1 - 0.2. What is the second smallest value in p, i, 3/8? i Let j = 0.4 - 0.2. Suppose 0 = -w - 3*w - 120. Let o be (-2)/10 - 26/w. Which is the smallest value? (a) 1 (b) o (c) j c Let z be 2283/(-10665)*-13 + -3. Let w = -2/395 + z. Let h = -4244/9 - -472. What is the biggest value in -5, h, w? h Let o = -3 + 8. Let l = o + -4.8. Which is the smallest value? (a) l (b) 0 (c) -3 c Let k = -2 + 1.8. Let f = -272/651 - -10/31. What is the biggest value in f, k, 0.4? 0.4 Let u = 1.4 + -1.3. Let s = 0 + 0.3. Let i = s - -0.1. What is the second biggest value in i, u, 1/5? 1/5 Suppose 1 = -x + 3*l, 4*x + l = -0*l + 61. Suppose 3*k = 7*k + 3*v + x, 0 = 2*k - 2*v + 14. Which is the smallest value? (a) 2/7 (b) 3 (c) k c Let n be (-5)/2*20/(-25). Suppose n*h - 12 = -h. What is the second biggest value in 0.7, -3/2, h? 0.7 Let k be 0/(-2) - (-1)/3. Let y = -153/4 + 38. Let i = -0.74 - -1.24. What is the third smallest value in y, i, k? i Let v = -0.21 - -4.21. What is the second biggest value in -0.3, 5/7, v? 5/7 Let o = 13 - 14. Which is the second smallest value? (a) o (b) 0.4 (c) 0.3 (d) -3/5 d Let x = 870/7 + -124. What is the second biggest value in x, 3, -1, -2/7? x Let x = 0.3 + -0.1. Let m = -87/4 - -621/28. Which is the second biggest value? (a) m (b) x (c) -0.2 b Let o = -3.4 + 0.4. Suppose -4*s = 4*s - 5*s. What is the second biggest value in s, 2/5, o? s Let w = -11 - -10.6. What is the biggest value in -4/5, 1/5, w? 1/5 Let q = -5.37 + 0.57. Let w = q + -0.2. What is the third biggest value in 0.3, 4, w? w Let f = -11 - -11.4. What is the third smallest value in 0.1, -0.3, f? f Suppose -2*p = -4*p - 10. Let y = -1 - -0.8. What is the biggest value in p, y, -7? y Suppose g + 18 = 4*a, -4*a = -g + 4*g - 26. Suppose 7 = -a*k - 8. What is the second biggest value in 0.5, k, -0.3? -0.3 Let o = 1.1 - -2.9. Let z = -0.2 + 0. Which is the smallest value? (a) -3 (b) z (c) o a Suppose 3*y = -5*p - 5 - 4, -4*y - 12 = -5*p. Let g = 1 + -1.1. Which is the second biggest value? (a) 0.2 (b) p (c) g b Let u be (-2 - -2) + 4/(-6). Let k = 6 - 11. What is the biggest value in k, u, 1/3? 1/3 Suppose -4*x - 3*g = 6, -1 = -2*x - g - 3. Let t = x + -5. Let i be 5/(-2)*(-2)/(-40). Which is the smallest value? (a) i (b) 3 (c) t c Let b be 7/((-84)/(-8)) - 2. Let l = 0.41 + 0.09. What is the biggest value in b, l, -0.2? l Let p = 0.2 - 0.6. What is the biggest value in -0.5, -2/13, p? -2/13 Let v be 0 - (4/6 - 1). Let j = -42 - -128/3. What is the biggest value in v, -1/15, j? j Let j = 944/795 - -2/159. Let p = -775 - -3877/5. Which is the second biggest value? (a) p (b) -0.2 (c) j a Let p be (0 - 3)/(15/(-25)). Let k = -45 - -316/7. Which is the biggest value? (a) -4 (b) k (c) p c Let p = 1.3 + -1.6. Let h = p + -0.1. Which is the smallest value? (a) -1 (b) -5 (c) h b Let f = -4.9 + 5.2. Let n be 16/(-6)*9/2. Let i be 2/(-8) + n/(-16). What is the third smallest value in f, i, 3? 3 Let j = 2.81 - -0.09. Let i = j - 3. Let z = -0.1 + i. What is the third smallest value in z, -5, 0.4? 0.4 Let t = -4.19 + 4. Let j = t - -0.09. Let z = 0.2 - 0. Which is the third smallest value? (a) -1 (b) z (c) j b Let j = 7 + -10. Let k = -5 - j. Which is the third biggest value? (a) -4 (b) k (c) 5 a Let p be (-4)/2 - -2*16. Let x be ((-65)/p)/(4/219). Let s = x - -119. What is the third biggest value in s, 2/5, 2? s Let q = -2.7 + 1.6. Let i = -64.9 - -62. Let p = i + q. What is the third smallest value in 4, p, -1/6? 4 Let c = 0.2 + -4.2. Let l = -1 - -9. Let o = l - 5. What is the smallest value in -0.3, c, o? c Let b = 2 - -5. Let p be (-38)/8 - (-6 - -2). What is the second biggest value in p, b, -1? p Let q = -1.34 - -0.34. Which is the third smallest value? (a) -1/9 (b) -0.2 (c) q a Let n = 1/7 - -2/35. Let u = 13.3 - 14. Let s = -0.4 - u. What is the third biggest value in 4, s, n? n Let g be (2 - -23)*2/5. Let x = 14 - g. Let s = -4/11 - 2/55. What is the second biggest value in x, 0, s? 0 Let o = 7 + -6.7. Let j = -5.8 - -5. Let p = j + o. What is the second smallest value in -4, -5, p? -4 Let i = 3 - -2. What is the biggest value in i, -3, 0? i Let k = -0.06 + 0.46. What is the smallest value in 12, 5/3, k? k Let d be ((-2)/4)/((-5)/(-10)). Let h be (-3)/(d + 3/(-6)). Let l be 20/(-14) + (-2)/(-2). Which is the smallest value? (a) 0.5 (b) l (c) h b Let t = -5.8 - -6. Let z = 13.2 - t. Let l = z - 8. Which is the third smallest value? (a) 3 (b) l (c) -0.5 b Let m = -59 - -54. What is the second smallest value in m, 5, 1/7? 1/7 Let a(c) = -c**2 - 5*c + 1. Let g be a(-3). Suppose 0*k + 3*k = -2*f - g, 3*f = -4*k - 11. What is the second biggest value in -0.2, k, 0.3? 0.3 Let z = -336 - -343.85. Let w = z + 0.15. Let r = w + -4. Which is the second smallest value? (a) r (b) -2 (c) 5 a Let i = 12/43 - -2/301. Which is the second smallest value? (a) 1 (b) -1/2 (c) 1/4 (d) i c Let n = 0.1 - 0. Let o be (-248)/93*(-3)/(-2). Which is the smallest value? (a) n (b) o (c) -2 b Let q = -1 - -2. Let s = -11 - -9. Let i be s/2 + (-14)/(-35). Which is the third smallest value? (a) q (b) 0.5 (c) i a Let i(d) = -d**2. Let o(g) = -5*g**2 + 3*g - 4. Let p(q) = 4*i(q) - o(q). Let v be p(4). Suppose -3*y + v*y = 10. What is the biggest value in -4, 0.5, y? y
Evaluate 24 + (-33 - -18) + 1 - -10. 20 Evaluate (-469 + 534 - (33 - 1)) + -12. 21 Evaluate -18 + (8 - -9) + 0 + 6. 5 Calculate -6 - (-5 + -45 + 18) - -18. 44 (-55 - 89 - -38) + 65 -41 What is the value of (30 - (25 + (13 - 28)) - 20) + -17? -17 What is 0 + -1 + 88 + (-38 - 41)? 8 (82 - (-18 + -2)) + (19 - 5) + -22 94 Calculate (9 - 20) + 51 + 30. 70 What is -77 + (20 - (21 + 13 + -10 + -13))? -68 What is the value of -1 + (-2 - (-1 - -1)) - 2 - (-103 - -96)? 2 Calculate -1 + 1 + 1 + 5 - (2227 + -2176). -45 Evaluate (-2 - (-15 + 14) - 11) + (8 + 0 - 67). -71 Evaluate 3 + 1 - (-29 + -24 + 49 + 23). -15 Calculate 12 + -2 + -13 - (-1 + -2) - (88 + -99). 11 38 + -8 + (8 - (20 - -3)) 15 What is the value of 11 + (-3 + 4 + (15 - 9) - (80 + 1))? -63 What is (-2 - -8) + ((9 - 17) + 3 - (-3 - 6))? 10 Calculate -4 - (0 + 19 + -64). 41 Calculate 28 - (-9 + -1 - ((22 - 2) + -31)). 27 What is 14 - (4 + -5) - (7 + 3 - (-11 - -39))? 33 Calculate 27 + -26 + -29 - -73. 45 What is the value of 19 + (237 - 240) + (-1 - (31 - 1))? -15 (-20 + -15 - -33) + 5 + (-4 - -6) + -21 -16 What is the value of -37 - -6 - -69 - 82? -44 What is (-1 - 30) + -1 - (-1012 - -1014)? -34 Evaluate -8 + ((9 - (28 + -9)) + 2 + 100 - -2). 86 What is -11 - (-94 + -38 + 46)? 75 -23 - (-8 - (6 + 8)) - (10 + (-2 - -4)) -13 Evaluate -8 + 27 + 3 + -3 + 75 + -74. 20 What is the value of (76 - 27) + -62 - (4 + 33 - (3 + -3))? -50 Calculate 9 - (10 + -25 + 17 - ((-92 - -1) + 2)). -82 506 + -273 + 50 + -169 114 Calculate -13 - (-487 + 469 - (0 - 54)). -49 Calculate -1 + 6 - 23 - (-5 + -37 + -32). 56 What is the value of 62 - (-23 + 0) - 94? -9 What is the value of -69 - ((37 - (34 + 36)) + 24)? -60 What is -18 - 43 - (-563 - -522)? -20 What is the value of (3 + (0 + -7 - -10) - 0) + (-140 - -45)? -89 Evaluate -34 - (-39 + 6) - (-2 + -6 + 2). 5 What is -40 + (38 - 43 - -29)? -16 What is the value of 1 + 45 - (11 - (61 - (2 + 28)) - -25)? 41 What is the value of 11 + (-24 - -27 - (2 + 6 + -4)) + -3? 7 What is -17 + -7 + -25 + -12? -61 What is 40 + -19 + (-28 - -21) + -125? -111 What is -4 + 21 - (-296 - -312) - -56? 57 36 - ((-9 - -15 - -5) + 4) - -10 31 Calculate 24 + (-98 - (-130 - -11)). 45 Evaluate (5 - (22 + -30)) + (23 - 6). 30 9 + 22 + -92 + -9 + 15 -55 (-21 - -10) + -92 + -2 + (3 - 3) - -3 -102 What is -10 + 3 - (11 + -70 - -55)? -3 What is 17 - (-2 - (-21 - -32 - -28))? 58 Evaluate -11 - (-2 + -3 - (-11 + 16 - 9)) - -53. 43 (-4 + 9 - (44 - (-35 - -74))) + -21 -21 -62 + 29 - (-4 + -23) -6 What is -1 + -8 - (277 - 416) - 16? 114 What is the value of -4 - -98 - -40 - 53? 81 What is 37 + -42 + 54 + -39? 10 Evaluate (35 - -21) + (0 - -1) + -1. 56 Evaluate (66 - (-39 + 79)) + -30 + -44. -48 What is 41 - (95 + 21 + -80)? 5 2 + -37 + (198 - 149) 14 Calculate 21 + (-123 - -68 - -25). -9 Calculate -137 - (-10 + (-125 - -63)). -65 What is the value of 34 - 27 - (-1 + -2 + -1) - 13? -2 Evaluate (97 - 8) + -61 + 59. 87 Evaluate -7 - (11 + (15 - 66)). 33 What is the value of (-7 - -19 - -5) + -31? -14 What is the value of (0 - (112 - 75)) + 11 + 0? -26 Calculate (1255 - 1265) + (-29 - 0). -39 Evaluate -44 - (-16 - (14 - (10 - 0))) - (-4 - 1). -19 What is the value of 26 - 31 - 122 - (36 - 78)? -85 Calculate -1 + 1 - 3 - ((-27 + 29 - 22) + 81). -64 Evaluate (10 - (0 - (-10 - ((-10 - -20) + -17)))) + -17. -10 Calculate 9 + 11 + -26 + (-1 - 0 - -33). 26 7 + (-43 - -13) + 7 -16 What is (-13 - -17) + (-5 - 1) + (-55 - 9)? -66 Calculate (-110 - -4) + -3990 + 4027. -69 -45 + 92 + -39 + (4 - 56) -44 Calculate (18 - 10) + (-1 - -29) + (34 - 30). 40 Calculate -759 + 746 - (1 - 10 - (14 + -8)). 2 What is 115 + -101 - (9 + -14 - -64)? -45 Calculate -13 + (-28 - -8 - -52) - (-1 - -51). -31 What is the value of -2 + 24 + (-1 + -11 - (20 + -68 - -21))? 37 Calculate 20 + 19 - (-71 - -80). 30 What is (-3 - 3) + 8 - (-2 - 2) - (49 - 66)? 23 What is the value of 0 - ((-16 + 2 - -33) + 20)? -39 Evaluate -9 - (-11 - (-14 + 4)) - (-71 - -3). 60 What is 717 + -737 + 1 + -4 + -18 + 84? 43 What is -97 + -7 - (-25 - (0 + 6))? -73 What is the value of 10 + -35 - -33 - (-3 + (50 - 2))? -37 14 - (99 + (13 - (-3 - 5) - 0 - 10)) -96 Evaluate -12 - ((-1 + 11 - (-11 - (5 + -21))) + -99). 82 4 + -1 + 16 - (77 + -86) 28 What is the value of 0 + -58 + (-16 - -25 - (-19 - -6))? -36 Evaluate -15 - (-40 + 25) - (34 - 17). -17 68 + -74 + 5 + (67 + 5 + -3 - 3) 65 5 - 48 - (3 + 14 - -13) -73 What is -199 + 199 - (-12 - -1) - 42? -31 Evaluate 13 - (13 - (-85 + 93)). 8 34 - 2 - (1181 + -1145) - 91 -95 Calculate -87 - (-169 - (52 + -125)). 9 ((-2 - 8) + 5 - -10 - 7) + 34 32 What is -4 + (57 - ((21 - (16 + 0)) + 1 + -3))? 50 Evaluate -1406 - -1403 - (1 - 3). -1 (38 - (2 + 0)) + 41 + -91 + 51 37 62 + 63 + (-1 + -8 - (-6 + -14 + 19)) 117 Evaluate 24 - (-37 + (-61 - -96)). 26 Evaluate (46 - -62) + -64 + 3. 47 25 + (-3 - (-25 - (-15 - 5))) 27 Calculate 15 + 1 - (2 - -103 - 44). -45 Calculate (0 - (0 - -2)) + 398 + -351. 45 What is the value of 21 - (48 + 25 + -60)? 8 What is -39 - ((-27 - (-3 + 1 + 2 + -14)) + 25)? -51 23 + -3 + -4 + 8 + (102 - 111) 15 -32 - (-6 + (19 - (11 - -23))) -11 Evaluate (-18 + 14 - -15) + 39 + 8 - -15. 73 What is the value of -78 + (3 + -5 - (4 - 18)) + -9? -75 Calculate (28 - (5 - -19) - (-8 - 0)) + (-12 - -3). 3 Evaluate (-46 + 22 - -51) + -50. -23 27 - 108 - (-6 + -24) -51 Evaluate 28 + -25 + 29 + -3 + -5. 24 Calculate -8 - (-11 + -21 - -65). -41 What is -1 - (0 + -2 + -11) - (-23 - (-164 - -90))? -39 What is 3 + -93 + -2165 + 2148? -107 What is -11 + -1 + (-6 - -3) + (-32 - -12)? -35 Calculate 29 + (0 - -14) + (-22 - -19). 40 What is -21 - ((-24 - -13) + -80 + 88)? -18 (-3 - -17) + -3 - (-3 + 36 + -11) - 5 -16 What is 45 - (-2 + 1 - -2) - (241 - (-151 + 377))? 29 Calculate 0 - 0 - (179 + -237 + 19). 39 Calculate -42 + ((7 - (6 - 1)) + 5 - (38 - 28)). -45 Evaluate -5 - -11 - 33 - ((63 - 20) + -55). -15 (-28 + 15 + 7 - (17 + -25)) + 11 13 Calculate -7 + 9 - (-31 + 26 + -25). 32 -56 + (22 + (-2 - -17) - 24) -43 Evaluate (104 - 110) + (5 - 1) + -6. -8 What is the value of (-31 + 22 - 2 - (9 + -4 - 12)) + 108? 104 -25 + 52 + (48 - 118) -43 2 - (-10 + (13 + -19 - (7 + -27))) -2 Calculate (28 - (-47 - -82)) + 17 + 148. 158 Evaluate 16 - (-14 + (14 + 15 - -10)). -9 Evaluate 5 - (-83 + 91 - (-20 + -4)). -27 Calculate (-5 - (-1 - -3 - (18 - 25))) + (146 - 2). 130 What is -30 - ((2 - 32) + -898 + 927)? -29 What is the value of 11 + -4 + 4 + (-15 + 12 - -45)? 53 What is 17 + 5 - (32 - 22) - (-10 - -1)? 21 What is the value of -3 - -4 - (101 + -91)? -9 Evaluate 0 - (-11 + (-71 + 78 - (19 - 2))). 21 12 + 22 + -15 + (-5 - 2) + 3 15 What is the value of -112 - -3 - 4 - (-23 - (-14 - (-5 - -8)))? -107 Calculate 56 + 0 + (3 + -20 - -11) + 15 + -4. 61 (-1 - 7 - 3) + (33 + -88 - -81) 15 What is the value of (-6 - 92) + 0 - ((-12 - -1) + 40 + -15)? -112 -40 + 2 - (-1 - (0 + -3)) - (622 - 625) -37 What is the value of -1 + -1 - (-11 - 1) - (1222 + -1224)? 12 Evaluate 129 - 51 - (11 + (-10 + -3 - 18)). 98 What is 54 - (-14 + 2 + 17 + -1) - (-2 + -9)? 61 Evaluate 29 + (-20 - (-48 + 23)). 34 Calculate -9 - (0 - -2) - (-222 + 205) - 78. -72 What is the value of 40 - ((-232 - -233) + (-5 - (-2 + 3)) + 1)? 44 What is -27 - -6 - (188 + -246)? 37 What is 24 + -66 + 24 + (7 - -15)? 4 What is the value of -14 + (-115 - (5 + -31) - -9) + (-10 - 1)? -105 Calculate -9 - (0 - 7 - (-23 - (-32 - 8)) - -7). 8 Calculate -11 + 4 + -512 + 533. 14 Calculate -182 + 184 + 1 + -3 + -4 + -70. -74 Evaluate (11 + -5 + -19 - -6) + (2 - (-59 - -7)). 47 129 - (2 + (-14 - -74)) 67 Calculate -45 + (-49 - (39 + -128)) - -12. 7 Calculate -34 + (-4 - -19) + -7 - ((10 - 11) + 7). -32 -36 - ((-2 - -30) + -54) - -1 -9 (-5 - (-51 - -37)) + 165 - 39 135 Calculate (-102 - -1) + 3029 + -3007. -79 (25 + 16 + -18 - 21) + -12 -10 What is the value of (-9 + 15 - (3 - 4 - 13)) + -7? 13 What is 90 + (413 - 364) + (1 - 4)? 136 (92 - 80) + (7 - 4 - (-6 - 4) - -2) 27 (-7 + 26 - (20 - -4)) + (-3 - 62) -70 Evaluate (-30 - (-20 + 4 + 11)) + -47. -72 Calculate -74 - ((-19 - (-28 - -9)) + (3 - -18)). -95 0 + 0 - (-2 + 9 + 14 + -57) 36 Evaluate -11 - (17 - 14) - (52 + -25). -41 -34 - (33 - 44 - 16) -7 -24 - (23 + -41 + 10) - (10 + -3 + 1) -24 Calculate -20 - -23 - -24 - 4 - -8. 31 Calculate 11 - (7 + 3 - 7) - (-7 - (-23 + 7)). -1 -93 + -2 + (38 - -27) -30 What is 0 + 0 + (-1 - -3) + (-159 - (-106 - 7))? -44 Evaluate (-28 - -54 - (0 - -12)) + 5. 19 What is (-1 - -65) + (-2135 - -2073)? 2 Calculate (-1 + -16 + 5 - 17) + -1. -30 Evaluate (2 - -37) + (87 - 79) + -1 + -19. 27 Calculate (-39 - ((6 + -12 - 4) + -12 + 15)) + -5. -37 What is the value of -188 - (-94 - (-9 - 2))? -105 Evaluate -9 + -33 + 35 - (-1 - 1 - -2). -7
Let k = 9 + 33. Suppose -a = -5*a - 12, -5*s = -4*a - k. What is the lowest common multiple of 15 and s? 30 Let x(b) = -b**3 + 2*b**2 + 2*b - 9. Let s be x(-4). Suppose 4 - s = -5*i. Let g(d) = d**3 - 15*d**2 + 7. What is the lowest common multiple of g(i) and 9? 63 Suppose 6*w - 10*w = -140. Calculate the smallest common multiple of 55 and w. 385 Find the common denominator of (6/54)/(3 + 774/(-254)) and -61/435. 7830 Calculate the common denominator of (10/21)/(-3 - -4) - 1 and -61/315. 315 Suppose 30 - 6 = -4*h. Find the common denominator of -6 and 2/h*4*-4. 3 Suppose 0 = 7*r - 2*r + 3*p - 593, 0 = 5*r - 5*p - 625. Let c = r - 109. Suppose 2*g = -3*g + 30. What is the least common multiple of g and c? 12 Suppose -6*m + 25 = -m. Suppose m*p - r = -0*p - 27, 3*p + 3 = 5*r. What is the least common multiple of 5 and (-3 - (-5)/3)*p? 40 Let b(x) = -x**3 - 19*x**2 - 37*x - 29. Suppose 0 = 2*p - 4*m - 20, 1 = -5*p - m + 84. Calculate the lowest common multiple of b(-17) and p. 176 Let y = 6366 + -101925/16. Calculate the common denominator of 103/48 and y. 48 What is the least common multiple of 3 and ((-731)/172)/((-1)/24)? 102 What is the common denominator of 41/9 and 11/((-165)/162)*(-10)/14? 63 Let r = 98132 + -400951/4. Suppose 2*l - 4*l = -y - 4182, -l = -y - 2092. Let b = r + l. What is the common denominator of 50/7 and b? 28 Let a = 92 + -92. Let g(r) = 2*r + 12. Let q(y) = 3*y**2 - 4*y - 1. What is the smallest common multiple of g(a) and q(3)? 84 What is the common denominator of (-2)/(5 + (-584)/72) and (-2)/(-40)*412/(-6)? 210 Let v be (-1)/(-4 - -3)*-57. Let s = v + 29. Let w = s + 40. Calculate the smallest common multiple of w and 10. 60 Suppose 2*o + 2 - 11 = -f, -24 = -3*o - 5*f. Let i(c) = -c**2 - 3*c + 94. What is the lowest common multiple of o and i(8)? 6 Suppose -g = 4*g - 10. What is the smallest common multiple of -1 + 37 - (240/10)/6 and g? 32 Let a(j) = 2*j + 2. Let t be (-120)/(-10)*-1*1. Let q be a(t). Calculate the common denominator of -109/20 and 469/220 + 4/q. 20 What is the common denominator of 2 + ((-194)/(-16) - (-21 - -23)) and 97/92? 184 Let m = 48 - 44. Let x(r) = -4*r + 1. Let j be x(-2). Suppose 0 = t + d - j, 7*d = 4*t + 2*d - 9. What is the least common multiple of m and t? 12 Suppose 3*q - 2*q + 2 = -2*s, s - 21 = 5*q. Suppose -4*m = -5*u - 9*m + 20, 0 = 2*u - 3*m - 18. Calculate the lowest common multiple of s and u. 6 Suppose 5*f = -0*f + 25. Suppose -i + 4 - 2 = 0, z + 2*i - 8 = 0. What is the least common multiple of f and z? 20 Let x = 98 - 68. What is the least common multiple of 636/21 - (-108)/(-378) and x? 30 Let b = 481/10 - 1599/40. What is the common denominator of -51/104 and b? 104 Find the common denominator of 57/35 and (16/(-14))/(-2) - 1705/(-2100). 420 Suppose -2*p + 2*o - 46 = -2*o, 0 = 2*p - 3*o + 43. Let m = p - 5/3. Calculate the common denominator of 5/8 and m. 24 Let f(s) = 38*s**2 - 2*s + 9. Let m be f(3). Suppose -7*u + 6*u = m. Calculate the common denominator of -7/8 and ((-2)/20)/(12/u). 8 Let g = -57 - -47. What is the least common multiple of 3 and -1 - ((-1 - -4) + g)? 6 What is the least common multiple of 3476/30 - (-6)/45 and 2? 116 Suppose 7*y - 5*y = 0. Let g(m) = -6*m + 8. Calculate the least common multiple of g(y) and 6. 24 Let w = -671 + 891. What is the least common multiple of 60 and w? 660 Suppose 0 = 4*b + z + 19, -5*b - 33 = 5*z + 2. Let f(t) = t**3 + 4*t**2 - t + 1. Calculate the smallest common multiple of f(b) and 11. 55 Suppose 512 = 85*z - 77*z. Calculate the least common multiple of 184 and z. 1472 Find the common denominator of (1/6)/(5/940*6) and -5*(2 + (-19)/7). 63 Calculate the common denominator of 139/(-1)*(-1)/(-12) and ((-3)/12)/((-96)/(-8384)). 12 Suppose -4*x - 2*x = 1206. Calculate the common denominator of (x/(-24))/((-153)/(-36)) and -14/3. 102 Calculate the common denominator of (2/(-3))/(24/10) and (7/5)/(18/(-10)). 18 Suppose 5 = q - 1. Suppose 5*a = -4 - q. Find the common denominator of (a/6)/(96/(-1818)) and 69/32. 32 Let v = 11885 - 594293/50. What is the common denominator of 121/10 and v? 50 Let d be -2 + 2/(-1) + 2. Let b(o) = 3*o**2 + 3*o. Calculate the smallest common multiple of 36 and b(d). 36 Let d = 12 - -8. Let y be (12/(-2))/((-2)/5). Suppose -4*k - k = 3*j - y, k = 2*j + 16. What is the least common multiple of k and d? 60 Let j be (24/765)/((-12)/130). Let m = -152/45 + 18/5. Let q = j + m. Find the common denominator of 35/3 and q. 51 Calculate the common denominator of 76/39 and (-5 + (-214)/(-16))/((-26)/4). 156 Let f be 5536/30 - 7/21. Let a = f - 57077/310. Find the common denominator of 13/4 and a. 124 Suppose z - 19 = 3*u, z + 0*u = -2*u - 6. Calculate the common denominator of 3*z/90*(-915)/(-10) and 28/5 - (-2)/(-2). 5 Suppose -7*c - 17 = -10. Find the common denominator of (-90)/8*(-5)/6 and c/1 + 65/190 + -2. 152 Let s be (-7 - -1)/(-6) - 17634/17635. Let c = s + -775961/370335. Find the common denominator of c and -52/7. 21 Let v = 15538 + -217627/14. Let q = -266551/11980 - 1/2995. Calculate the common denominator of q and v. 28 Suppose -11*k - 27*k + 1368 = 0. What is the lowest common multiple of 36 and k? 36 Suppose 329 = -5*q - 336. Let n be q/(-3) + (-1)/3. Suppose 4*w + 2*d = 34, -d = -5*w - 5*d + n. Calculate the least common multiple of 6 and w. 24 What is the common denominator of (15/105)/(9/93) and 71/18? 126 Let a(s) be the first derivative of s**3/3 + s**2 - 5*s + 3. Calculate the least common multiple of -5*(-6)/10*4 and a(-5). 60 Let p = 875 - 1807/2. Let b = -72469/18 + 4025. Calculate the common denominator of b and p. 18 Let f = 22 - 9. Let v = 17 - f. Let a(j) = j**3 - 5*j**2 + 6*j - 5. What is the lowest common multiple of 11 and a(v)? 33 Suppose -3*z = 4*j + 41 - 17, j = 5*z + 17. Calculate the common denominator of -95/6 and (-2)/(z/37) - (3 - 2). 6 Suppose -136 = 2*w - 7*w + 4*l, 4*w - 3*l = 108. Suppose 3*g = x - 32, -20*x - 5*g = -25*x + 120. What is the smallest common multiple of w and x? 120 Let x be (-22)/3*(-1 + -2). Let f = x + -16. Let m = 24 + -16. What is the lowest common multiple of m and f? 24 Find the common denominator of 93/38 and ((-6)/16)/(1089/(-6468)). 418 Suppose -20*h = 35*h - 110. Calculate the least common multiple of 705 and h. 1410 Let k = -15 - -18. Suppose -3*i - 2*r + 74 = 26, -k*r = 0. What is the smallest common multiple of 4 and i? 16 Let s = -3557/24 + 439/3. Calculate the common denominator of s and -157/42. 168 Let k = -1507983 + 2141335961/1420. What is the common denominator of k and -65/12? 4260 Suppose 6 = 3*o - 12. Suppose 5*b + o = 1. Calculate the common denominator of b/(-6)*(-1665)/25 and 45/28. 140 Let k be ((-36)/(-8))/(3/(-6)). Suppose -5*t + 11 = -v - 14, -4 = 4*t + 4*v. What is the least common multiple of t and (42/(-63))/(1/k)? 12 Let j = 156589/138501 + -112/99. Let l = j + -81135/9793. What is the common denominator of l and -51/8? 56 Let f(b) = b**2 - 39*b + 208. What is the lowest common multiple of 16 and f(6)? 80 Suppose 0*r = 2*r. Calculate the least common multiple of (6/4 + r)/(120/4720) and 3. 177 Calculate the common denominator of (11 + 189/(-18))/(782/(-72)) and -18/11. 4301 Let w = -17 + 35. Let h(i) = i**3 - 6*i**2 + i + 8. Calculate the smallest common multiple of w and h(6). 126 Suppose -3 = 2*j + j, 3 = -y - 5*j. Let o be 10/(-6) - (-15308)/129. What is the common denominator of y/1 + o/(-8) and -39/22? 88 Suppose -5*w + 4 = -3*w. Suppose 0 = 2*y - y + w. What is the lowest common multiple of (3/y)/((-6)/32) and 6? 24 Let r = -101119/162036 + 157/252. Let w = -37933/3858 + r. What is the common denominator of (-91)/48 - 1024/(-768) and w? 48 Suppose 3*f + 284 - 74 = 0. Let x = f - -35. What is the common denominator of 1/18 and (-10)/x + (-1314)/(-56)? 36 Let x = -19 - -79. Let v be 0 + 2 - x/6. What is the smallest common multiple of 18 and v*3*(-15)/18? 180 Let n = 3 + 1. Suppose -2*z = 0, 2*p = -2*p + 4*z + n. What is the common denominator of -186*(12/(-16) + p) and 97/12? 12 Let c = -2079/76 - -3118/19. Let l = -129 + c. What is the common denominator of -61/2 and l? 4 Suppose 14 - 5 = b - 2*z, 2*z - 1 = -b. Suppose 3*i - 22 = -i - b*s, i + s = 6. Calculate the least common multiple of i and (-2 - (-28)/3)/(328/492). 88 Let u = -3/443 + -1263/9746. Let g = -1355/212 + 34/53. Calculate the common denominator of u and g. 44 Suppose 0*g = 6*g + 132. Let h = 64 + g. What is the smallest common multiple of h and 16? 336
Collect the terms in 2*l + 92 + 7 + 40 + 15 - 26 - 34. 2*l + 94 Collect the terms in -178285*c + 8 + 743197*c - 8. 564912*c Collect the terms in 223*j**2 - 2 + 415*j**2 + 17*j**2 + 2. 655*j**2 Collect the terms in 11*z**3 + 151299068981*z**2 - 151299068981*z**2. 11*z**3 Collect the terms in -2986 + 1522 - 28*x + 1464. -28*x Collect the terms in 5804997*s + 29*s**3 - 11610013*s + 5805007*s. 29*s**3 - 9*s Collect the terms in 133*p + 165345 - 165345. 133*p Collect the terms in -310310*m**2 + 549*m**3 + 310310*m**2. 549*m**3 Collect the terms in -3640*w + 9*w**2 + 2083*w - 6 + 1557*w. 9*w**2 - 6 Collect the terms in -1797192*y**3 + 1797166*y**3 - 3*y + y + 2*y. -26*y**3 Collect the terms in o**2 + 377 + 368 - 1470 + 367 + 363 + 12*o. o**2 + 12*o + 5 Collect the terms in 53036*i + 2*i**2 + 52896*i - 4*i**2 + 22*i**3 - 105932*i. 22*i**3 - 2*i**2 Collect the terms in -108*t**3 - 4922*t**2 + 63*t**3 + 43*t**3. -2*t**3 - 4922*t**2 Collect the terms in 12*o**2 - 12*o**2 + 294927*o**3 + 3042479*o**3. 3337406*o**3 Collect the terms in 976 - 976 - 123066*c. -123066*c Collect the terms in 1268*y**2 - 292*y**2 - 587*y**2 - 339*y**2. 50*y**2 Collect the terms in -p**2 + 5*p**2 - 2*p**2 - 4*p - p**2 - 1911*p**3 + 8. -1911*p**3 + p**2 - 4*p + 8 Collect the terms in 1296*d - 2475*d + 26 - 7 - 3 + 1185*d - 16. 6*d Collect the terms in -571*u**3 - 517*u**3 - 589*u**3 + 1848*u**3 - 509*u**3. -338*u**3 Collect the terms in -615584452*i + 615584452*i - 52*i**2. -52*i**2 Collect the terms in -q**3 + 107474 + 100431 - 207916. -q**3 - 11 Collect the terms in 4338*u**2 - 10*u**3 + 4 - 4365*u**2 - 10. -10*u**3 - 27*u**2 - 6 Collect the terms in 69*g**3 - 10*g**2 - 27*g**3 + 0*g + 2*g + 30*g**2 - 20*g**2. 42*g**3 + 2*g Collect the terms in -6 - 770*k**2 + 0*k**2 + 742*k**2. -28*k**2 - 6 Collect the terms in 3*o**2 + 0*o**2 - 4*o**2 - 42143 - 29673. -o**2 - 71816 Collect the terms in -897*k + 301*k - 71051*k**2 + 300*k + 296*k. -71051*k**2 Collect the terms in -148*t**3 - 1 - 3290472825*t**2 + 3290472825*t**2. -148*t**3 - 1 Collect the terms in -79*i**2 + 190*i**2 - 136*i**2 - 2 - 28*i. -25*i**2 - 28*i - 2 Collect the terms in 22*u**2 - 5*u + 125 + 5*u + 4*u**2 + 7*u**3 - 10. 7*u**3 + 26*u**2 + 115 Collect the terms in -1572*h - 1615*h + 6210*h - 1528*h - 1605*h. -110*h Collect the terms in -108*i**2 - 1034*i**2 - 976*i**2 - 536*i**2. -2654*i**2 Collect the terms in -22695*v - 38860*v - 3813*v + v**2. v**2 - 65368*v Collect the terms in -5210524*p**2 - 5210608*p**2 + 10421131*p**2. -p**2 Collect the terms in -122296*d**3 + 244541*d**3 - 122242*d**3. 3*d**3 Collect the terms in -12*l**3 - 25*l - 28*l - 20*l - 2*l**2 + 5*l**2 + 73*l. -12*l**3 + 3*l**2 Collect the terms in -19369 + 7621 + h + 5885 + 5863. h Collect the terms in -4845*v**2 - 34908*v**2 + 6177*v**2. -33576*v**2 Collect the terms in -299796*k**2 + 5 - 5 + 18156*k**2. -281640*k**2 Collect the terms in -2923*b + 235*b + 2481*b + 215*b. 8*b Collect the terms in -37275308*h**3 + 41*h**2 - 28*h + 28*h + 37275307*h**3. -h**3 + 41*h**2 Collect the terms in -479*g + 774*g - 60*g**2 - 295*g. -60*g**2 Collect the terms in -247 - 96*n**2 - 90*n**2 - 285 - 88*n**2 + 275*n**2. n**2 - 532 Collect the terms in -x**2 - 6*x**3 + 97665909 - 97665909. -6*x**3 - x**2 Collect the terms in 116*i**2 + 556*i**3 - 51*i**2 - 56*i**2 - 9*i**2 + 570*i**3 - 1128*i**3. -2*i**3 Collect the terms in 13*l**2 + 3545256 - 1772670 - 1772586. 13*l**2 Collect the terms in 182*p + 17*p + 102*p - 45*p. 256*p Collect the terms in -5496*l**2 - 5494*l**2 + 21961*l**2 - 5480*l**2 - 5489*l**2. 2*l**2 Collect the terms in -14 - 244*v**2 + 252*v**2 + 104*v**3 - 13*v**3 - 13 + 27. 91*v**3 + 8*v**2 Collect the terms in -7*b**3 + 17914566*b**2 + 22*b**3 - 17914569*b**2. 15*b**3 - 3*b**2 Collect the terms in -3 - 32753413*n**2 - 3*n**3 + 32753413*n**2. -3*n**3 - 3 Collect the terms in 657*b + 1137 - 1138 - 717*b. -60*b - 1 Collect the terms in -275*o**3 + 69*o**3 + 3*o - 7*o**3 + 64*o**3 + 64*o**3. -85*o**3 + 3*o Collect the terms in 1327 + 250 - 43*h + 89*h - 48*h. -2*h + 1577 Collect the terms in 2 - 5582*g**2 + 5487*g**2 - 15. -95*g**2 - 13 Collect the terms in 5 + 3*r + 102 + r**2 - 17. r**2 + 3*r + 90 Collect the terms in 322 - 1085*v + 549*v + 549*v. 13*v + 322 Collect the terms in -38 - 584012*z + 38 + 584011*z. -z Collect the terms in 183 + 91574*h + 554222*h - 183. 645796*h Collect the terms in -6 + 11 + 2790*w**2 - 2789*w**2 + 0 + 11. w**2 + 16 Collect the terms in 9580201*i**2 - 28740582*i**2 + 9580188*i**2 + 9580195*i**2. 2*i**2 Collect the terms in -9*b**2 + 16*b**2 + 1 - 7*b**2 - 1 - 397*b**2 + 415*b**2. 18*b**2 Collect the terms in 6977*g**3 + 7044*g**3 - 21043*g**3 + 7017*g**3. -5*g**3 Collect the terms in 4*y - 1326*y**3 - 3796*y**3 - 4*y + 5124*y**3. 2*y**3 Collect the terms in 5503 - 6*k**3 + k**3 + 2652 + 487 + k**3. -4*k**3 + 8642 Collect the terms in 6 + 260*u - 923*u + 184*u + 259*u + 246*u. 26*u + 6 Collect the terms in 24053 - 29*q + 69*q - q**2 - 37*q. -q**2 + 3*q + 24053 Collect the terms in -13320751 + 3*o**2 + 3*o**2 + 13320741. 6*o**2 - 10 Collect the terms in 136931*h**2 - 274088*h**2 + 137128*h**2. -29*h**2 Collect the terms in 170468957*i - 340937873*i + 170468947*i. 31*i Collect the terms in -304*k - 308*k - 308*k - 310*k - 285*k - 259*k + 1776*k. 2*k Collect the terms in 5898*r - 1998*r - 1948*r - 1949*r. 3*r Collect the terms in 65 - 19*p - 191 + 6*p + 10*p + 2*p. -p - 126 Collect the terms in -63*g - 4*g**2 - 8*g**2 + 23*g - 8*g + 61*g - 13*g. -12*g**2 Collect the terms in 14053221*w - 14053221*w + 1 + 143*w**3 - 422*w**3 - 1. -279*w**3 Collect the terms in 5*k**2 + 4*k**2 + 560*k + 5*k**2 - 21*k**2 - 430*k. -7*k**2 + 130*k Collect the terms in 2847*y**2 - 696*y**2 - 680*y**2 + 6*y + 0*y - 883*y**2 - 674*y**2 - 4*y. -86*y**2 + 2*y Collect the terms in -12*b**3 - 2*b + 13*b**3 + 12145 - 12214. b**3 - 2*b - 69 Collect the terms in -710*c**3 - 9598 + 9598. -710*c**3 Collect the terms in -91 + 1363*k**2 - 1449*k**2 + 91. -86*k**2 Collect the terms in 574 - 40*o**3 + 1106 + 574 - 2254. -40*o**3 Collect the terms in 17473*v**2 + 17470*v**2 + 17466*v**2 + 79*v - 52408*v**2. v**2 + 79*v Collect the terms in 9444*x**3 - 20129*x**3 - 2*x + 2*x + 10183*x**3. -502*x**3 Collect the terms in 4*s - 1089*s**2 - 3*s - 15*s - 3 + 6. -1089*s**2 - 14*s + 3 Collect the terms in -14179416 + 14179416 - 8*b**2. -8*b**2 Collect the terms in 15509*z**2 - 4382*z**2 - 3623*z**2 - 4070*z**2 - 4249*z**2. -815*z**2 Collect the terms in 2583*d**2 - 1440*d**2 - 1519*d**2 - d - 713 + 712. -376*d**2 - d - 1 Collect the terms in -202*d**2 + 491*d**3 + 476*d**3 + 494*d**3 + 498*d**3 - 1951*d**3 + 202*d**2. 8*d**3 Collect the terms in 82 + 8349*x + 82 - 8339*x - 247 + 84. 10*x + 1 Collect the terms in -7 + 88 - 23 + 17*c - 23 - 17 - 19. 17*c - 1 Collect the terms in -371679 + 743425 - 371761 - 2*m**3. -2*m**3 - 15 Collect the terms in 4*n - 140 + 7*n**3 + 140 + 39*n. 7*n**3 + 43*n Collect the terms in 2815*p**3 - 2820*p**3 - 14*p**2 + 33*p**2 - 22*p**2. -5*p**3 - 3*p**2 Collect the terms in 1 - 22*q**2 + 21480*q**3 - 1 - q**2. 21480*q**3 - 23*q**2 Collect the terms in -173 + 14*p + 352 + 24*p**2 - 18*p. 24*p**2 - 4*p + 179 Collect the terms in 29752*c + 28822*c + 28817*c - 87395*c. -4*c Collect the terms in -38*b - 31*b - 17*b - 3409*b**2 + 86*b. -3409*b**2 Collect the terms in -12*c**2 - 6813*c + 3406*c - 20 + 3404*c + 20. -12*c**2 - 3*c Collect the terms in -4*w**3 + 0*w**3 - 21319*w**2 + 42737*w**2 - 4*w - 21418*w**2 + 4*w. -4*w**3 Collect the terms in -39279*o - 34767*o + 18579*o - 57097*o. -112564*o Collect the terms in -7802*w + 2588*w + 2591*w - 62*w**2 + 8*w**2 + 2620*w. -54*w**2 - 3*w Collect the terms in -2*o**3 + 45513614 - 45513614 - 84*o. -2*o**3 - 84*o Collect the terms in -148 - 64476*m**2 + 21528*m**2 + 21501*m**2 + 149 + 21549*m**2. 102*m**2 + 1 Collect the terms in -56*i - 50*i + 26*i + 88 + 84*i + 10. 4*i + 98 Collect the terms in -2 + 144*v + 162*v + 72*v - 409*v. -31*v - 2 Collect the terms in -4 + 76*o**2 + 7*o**2 + 10 - 2 + 14*o**2. 97*o**2 + 4 Collect the terms in -80556*m + 80552*m + 24 + 22 - 36. -4*m + 10 Collect the terms in 3074 + 2382 + 2384 - i + 0*i**2 - 7840 - i**2. -i**2 - i Collect the terms in 91402545*x - 91402540*x - 3*x**3 - 4*x**3. -7*x**3 + 5*x Collect the terms in -j - 2*j + 55 - 28 - 32 - 573*j**2. -573*j**2 - 3*j - 5 Collect the terms in 0 + 7 + 7 + 880*n**3 - 881*n**3 - 4. -n**3 + 10 Collect the terms in 5*f - 76*f**3 + 29*f - 7*f + 9*f**2 - 27*f. -76*f**3 + 9*f**2
Let s be -1*(-6)/(-33) + 2*(-603)/(-99). Solve -8*q - s = 20 for q. -4 Let d(s) = -s**3 - 14*s**2 + 7*s + 18. Let o be d(-15). Solve 7 = -145*r + o*r for r. -1 Suppose -30*w = -32*w + 5*n + 105, 2*n = -5*w + 190. Solve 34 - w = 6*x for x. -1 Let b = 4425 - 4376. Solve -69 + b = -4*w for w. 5 Let y be 6 + 76/(-8) - 2/(-4). Let h be (3 + y)/(-1*2). Solve k - 5 + 2 = h for k. 3 Let x be 8/44 + 97*(-5 + 56/11). Solve -x*a + 33 = -20*a for a. -3 Let z be 10/6 + (-3)/(-9). Suppose 23*y = 10*y + 26. Let l(w) = -w + 5. Let i be l(-5). Solve -y = -z*k - i for k. -4 Let q(x) = -x**2 + 4*x + 45. Suppose 4*k - 164 = -4*s, 195 = 5*k + 7*s - 4*s. Suppose 7*i - 3*i = k. Let c be q(i). Solve -3*a = -c + 12 for a. -4 Let f(l) = 2*l - 2. Let u be f(1). Let z be 3/(-24) + 132/32. Suppose -b - 25 = -5*i + 2, z*b + 13 = i. Solve -i*r + u*r = 10 for r. -2 Let f(k) be the third derivative of k**5/60 + k**4/12 + k**3/3 + 99*k**2. Let z be f(-2). Solve v - z*v - 4 = 0 for v. -4 Let z = -6245 - -6249. Solve 0 = 33*s + z*s + 185 for s. -5 Suppose -4*r = 791 + 357. Let c = r - -187. Let q = c + 103. Solve -v + 5 - q = 0 for v. 2 Let k(i) = i - 12. Let j be ((-9)/3 + 4)*6. Let q be k(j). Let a be (12/(-8))/(3/q). Solve 1 = a*r + 7 for r. -2 Suppose 86 = t + 12. Let c = 97 - t. Solve -c = -4*p - 3 for p. 5 Let f(r) = 5*r**2 - 141*r - 484. Let d be f(32). Solve d = 184*c - 215*c for c. -4 Let v be (381/(-4))/(-4 - 290/(-80)). Let w = v + -250. Solve 0 = -5*b + w*b + 3 for b. 3 Suppose 5*h + 5*s - 85 = 0, 6*h - 3*s - 25 = 5*h. Suppose -13*b + 175 = h. Solve 4*x + b = -0 for x. -3 Suppose 0 = u + 4, 1362*t - 1367*t = 4*u - 529. Solve 0 = 6*l + t - 145 for l. 6 Let w(i) = i**2 + i + 5. Let g be w(0). Let o = -197 - -199. Let f be (-17 + g)*o/(-4). Solve 5*t + 4 = -f for t. -2 Let o(b) = 68*b - 5631. Let j be o(83). Solve -j*y - 1348 = -1283 for y. -5 Let k be 27/3 + 48 + -55. Solve 31*a + 33 = -k*a for a. -1 Suppose 5*j = 3*c + 2*j + 84, -5*j = c + 28. Let h = 32 + c. Suppose 2*m + m + 5*x - 39 = 0, -5*x = -h*m + 17. Solve 5 = -3*q + m*q for q. 1 Let o = 6871 + -6869. Solve -o*y + 123 - 119 = 0 for y. 2 Suppose 0 = -4*w + 27 + 1. Suppose w = -3*p + 19. Let m be (-36)/(-63)*14/p. Solve -r - m = -7 for r. 5 Suppose 39 = l + 6*d - 4*d, -243 = -5*l - 2*d. Solve -q = 16*q - l for q. 3 Let j(d) = d**3 + 32*d**2 - 43*d - 307. Let a be j(-33). Solve 43 = -a*b - 118 for b. -7 Suppose -9*v + 49 = -34 + 20. Solve 64 - 71 = -v*h for h. 1 Suppose 46*c - 207 = 23. Solve -401 = -c*w - 421 for w. -4 Let z be 1/((-5)/(-681)) + 6/(-30). Solve -125*r + z*r = -33 for r. -3 Let o be -911 + (-6 - -5) + -9. Let y = 923 + o. Solve 1 = y*f + 11 for f. -5 Let f be (-20 - -9 - -7)*1/2. Let g be 2*-1*(f + 4 - 4). Let d = -3 + 6. Solve -b + g*b = -d for b. -1 Let l(z) = -z**3 - 2*z**2 - z. Let v(s) = 7*s**3 + 6*s**2 + 6*s + 4. Let y(p) = 5*l(p) + v(p). Let q be y(0). Solve q = 13*t - 48 for t. 4 Let r = -71 - -73. Let o = r + 5. Let i = 38 + -36. Solve -k - o = -i for k. -5 Suppose 17*g - 11*g = 30. Suppose 0 = -2*m - 5*q - 0 - 15, 5*m - g*q - 50 = 0. Solve m*f - 1 = -11 for f. -2 Let y = -35 - -21. Let o be (4 + y/4)*4. Let s = -11 + 11. Solve 3*v + 1 + o = s for v. -1 Let t be 26/715*22 + -1*(-78)/15. Solve 21*p + 30 = t*p for p. -2 Suppose 244*x + 70 = 254*x. Let i be 3822/210 - ((-4)/5 + 1). Solve -x*z + i = -10 for z. 4 Let j = -1822 - -1848. Solve 0 = j*k - 28*k + 14 for k. 7 Let c = -253 + 255. Let x(l) = l**3 - 7*l**2 - 7*l - 8. Let q be x(8). Suppose -12*b + 7*b = q. Solve -n + c*n + 1 = b for n. -1 Let g be 511/(-19) + (-6)/57. Let r = g + 19. Let l be (-475)/(-133) + r/14. Solve l*v + 17 = 2 for v. -5 Let h = -259 - -266. Solve 0 = 31*x + h*x + 228 for x. -6 Let t be (426/12 + -1)*(-4)/(-6). Solve -13 = -10*a - t for a. -1 Let s = -471 + 480. Suppose 4*i = -a + 22, -i - s = 5*a - 43. Solve -7*t = -13 + a for t. 1 Suppose 12*d = 39 + 273. Let l be d - (5 - (-28)/(-7)). Solve 5*j + 0 = -l for j. -5 Suppose 94 = 4*v + 2*q, 3*v - 6*q + 11*q - 81 = 0. Suppose 16*p = v + 58. Solve -8*h = -7*h - p for h. 5 Let v(t) = 11 - 33*t + 23*t + 13*t. Let b be v(-3). Suppose 5*w - 5 - 11 = 3*g, 0 = 3*w + 4*g + 2. Solve -b*p + p = -w for p. 2 Let b(i) = i + 1. Let s = -67 + 63. Let a(c) = -c**2 + 24*c + 6. Let u(l) = s*b(l) + a(l). Let n be u(20). Solve -n*y + 3 + 3 = 0 for y. 3 Let l(p) = 28*p + 30. Let t be l(-1). Suppose 4*w + 17 = q + 3*w, -w = 3*q - 47. Let g be (-6)/(-27) - q/(-9). Solve 0 = t*d + g - 4 for d. 1 Suppose -12*a = -11*a - 2. Let n be a/4*90/3. Suppose 15 = 3*r, -r + n = 5*k - 0*r. Solve 0 = -q + k - 0 for q. 2 Suppose 2 = -2*n - 3*k - 4, 3*n - 8 = 4*k. Let c(x) = -4*x**3 + 3*x**2 - 4*x + 1. Let g be c(2). Let m be 52/(-65)*(2 + g/6). Solve n = m*q + 3*q for q. 0 Let b be (-4)/5 + 1216/(-80). Let t be (-6 + 4)/(b - -15). Solve -t*l - 4 = -8 for l. 2 Suppose 2*y + 2*t = -3 + 15, 0 = -3*y + t + 6. Suppose 53 - 13 = -4*z. Let n be (6/(-5))/(3/z). Solve -n*w = y - 23 for w. 5 Let x be (16/3 - 5)*6/(-1). Let r be (-3)/2*x/(-6)*-4. Solve 6 = r*j - 0 for j. 3 Suppose -k - 2*r + 4 = -8, 0 = -r + 4. Let g(p) = p**2 - 25*p + 114. Let s be g(6). Suppose -37*a + 33*a + 8 = s. Solve 2*o + a = -k for o. -3 Let i = 161 + -159. Let f = -159 - -174. Solve -w = i*w + f for w. -5 Let s(f) = -137*f + 6088. Let o be s(43). Solve 0 = -3*j + 179 - o for j. -6 Suppose 744 = 34*z - 276. Solve 11*j - z = -4*j for j. 2 Suppose 0 = -3*h + 4*y + 1789, -6*h + 2*h + 2397 = -3*y. Solve 27*n = -468 + h for n. 5 Let f(a) = -341*a + 1381. Let x be f(4). Solve -x*h + 15*h = -8 for h. 4 Suppose -4*d = -3 - 9. Let x(y) = 33*y - 1125. Let o be x(34). Let u = d + o. Solve 2*v = -u*v for v. 0 Let v(k) = 3*k**3 + k**2 - 2*k + 3. Let i(b) = 5*b**3 + 2*b**2 - 3*b + 5. Let x(u) = 4*i(u) - 7*v(u). Let r be x(1). Let t = -5 - -9. Solve -t - r = d for d. -5 Let j be ((-9)/54)/((-6)/(324/1)). Solve -j - 21 = -10*h for h. 3 Let t = -17 - -12. Let q be (t/(-2))/((-11)/(-22)). Suppose q*h = -4*a - 13, -2*h + 6*h + 23 = a. Solve 2*m = a*m + 1 for m. -1 Let n(m) = -m**2 - 72*m + 553. Let i be n(-79). Suppose 2*x - 52 = -4. Let o be x/10 + (-2)/5. Solve i = o*s + 3*s - 5 for s. 1 Suppose -2*i + r = -2*r - 46, -4*r - 8 = 0. Let h be (i/(-4))/(3 - (5 + -1)). Solve 0 = -h*m - 13 - 2 for m. -3 Let i(f) = -f**3 + 13*f**2 + 30*f + 22. Let q be i(15). Let u = 3 + 5. Let c be u/(-44) - (-4)/q. Solve c*s = -s for s. 0 Suppose 5*n - 15 = 0, -n = -3*w - 3*n + 126. Suppose -11 = -j - 5*f + 12, -5*j = -3*f - 227. Let s = j - w. Solve -2*r - 20 = s*r for r. -4 Suppose 2873 = h + 2*j, 4*h - 22*j = -25*j + 11477. Solve -h*n + 18 = -2870*n for n. -6 Let p be 132/15 + 2/10. Let f be 0 + 1/3*p. Let u be 4 - -1*(-1 - -2). Solve -f*q - 1 = u for q. -2 Let j = -7 - 46. Let n = -33 - j. Let c = -74909 - -74909. Solve c = 5*r - r - n for r. 5 Let j be -5*(-1)/10*2. Suppose 7*d = 19 - 5. Suppose -d*k - 20 = -12*k. Solve -k*g + 3 = -j for g. 2 Let k(i) = 4*i**2 - 61*i - 15. Let q be k(12). Let d be q/(-36) + (2 - (-22)/(-8)). Solve b + 12 = d*b for b. 4 Let o(d) = 2*d**2 - 68*d + 653. Let n be o(15). Solve 39*h - n*h = -132 for h. 3 Let b be (63/27)/((-6)/198). Let p = -75 - b. Solve -2 = 3*i - p*i for i. -2 Let r be (-7 - (-52)/8)*-2. Solve -r = -161*z + 160*z for z. 1 Suppose 9*o = 10*o - 12. Let z be 2/12 + 1246/84. Let i(d) = -d**3 + 15*d**2 - d + 15. Let t be i(z). Solve t = 5*q - 2 + o for q. -2 Let q(f) be the second derivative of 5*f**3/3 - 25*f**2 + 18*f. Let n be q(5). Let j be (13 - 3)*(1 - n). Solve -5*c = -35 + j for c. 5 Let g be (-1)/(3/(-9)) - -2. Suppose -a = -y + 1 - 6, 5*a - 5 = -5*y. Suppose -g*z + 4 = -a*z. Solve 0 = z*s - 3*s - 2 for s. -2 Suppose 18*n = -37 + 181. Let z be -3 + 1/(n/160). Solve -z = -6*h + 1 for h. 3 Suppose 0 = 3*t - 2*x + 50, -t + x = -3*x + 10. Let g be -7 + 1 - (t + 12). Solve g = 3*m - m + 8 for m. -4 Suppose -2*v - 4*q = -16, 0*v + 20 = -v + 5*q. Suppose -4*z + 4*h + 68 = 0, -5*h + 11 = 3*z - v*h. Solve -z*t + 7*t = 0 for t. 0 Let n(u) = 2*u**2 - 40*u + 33. Let g be n(20). Solve -23*y + g*y + 20 = 0 for y. -2 Let k = -678 - -685. Suppose 0 = -5*q - o + 150, -k*q = -8*q - 4*o + 11. Solve 3*j + q = 28 for j. -1 Let k be (3/15)/(1/15). Suppose -5*f - 2*z - 4 = -21, -3*z - k = -2*f. Solve 2 = f*a - a for a. 1 Let d = 140 + -237. Let n = -87 - d. Suppose -3*p = n - 22. Solve -4*g = -16 - p for g. 5 Let t = 821 - 819. Suppose 5*k = t*a - 47 + 16, 3*k = -5*a + 31. Solve -5*z + a = -17 for z. 5 Let y be (-1)/(-2 - 364/(-294)*9/6). Solve 9*b - y = -16 for b. -1
Suppose -2*x + 10 = -5*o + o, -8 = 4*o. Let j = 3 + -2. What is the highest common factor of x and j? 1 Suppose -40 - 95 = -3*o. Calculate the highest common factor of o and 30. 15 Suppose 10*s - 5*s = 0. Let b be (s - 3)/6*-30. What is the greatest common factor of 5 and b? 5 Suppose 4*c + 21 - 37 = 0. What is the highest common factor of c and 28? 4 Let w(m) = m**3 - 5*m**2 - 13*m + 5. Let k be w(7). Calculate the highest common factor of 4 and k. 4 Let f be (-1 + -24)/(29/(-116)). Calculate the greatest common factor of 40 and f. 20 Let n(y) = y**2 - 10*y + 6. Let c be n(13). What is the greatest common divisor of c and 15? 15 Let b = 244 - 112. Calculate the highest common divisor of 12 and b. 12 Suppose 0 = 2*h + 3*h. Suppose h = -3*r + 3*v - v + 52, 5*v + 39 = r. Suppose -4*q + 75 = 19. What is the greatest common factor of q and r? 14 Let b(u) = u**2 + 15*u - 20. Let m be b(-17). Calculate the greatest common factor of m and 2. 2 Let a(j) = -j**3 - 8*j**2 - 6*j - 9. Suppose -4*n = 0, 2*n = 4*g + n + 32. Let b be a(g). Let f = -17 + b. What is the highest common factor of f and 55? 11 Suppose 0 = -5*i + 9 + 71. Suppose -4*d - 5*o + o = 8, 0 = -4*d - 5*o - 3. Let j = 23 + d. What is the greatest common factor of i and j? 16 Let x be -2 + 1/(1/(-4)). Let y be 9/x*(-8)/6. Suppose 2*z = -y*z + 80. Calculate the highest common factor of z and 40. 20 Let o be (-4)/((-4)/(-21))*-6. Suppose -3*u = 2*u + 5. Let j(d) = 13*d**2 - d. Let n be j(u). Calculate the greatest common divisor of n and o. 14 Suppose -3*r + 6 = 0, 4*v = 4*r + 2 + 54. What is the highest common factor of v and 20? 4 Suppose -4*f + 2 = -3*w - 15, -4*f + 57 = 5*w. Suppose 0 = -3*c + 5*m + 61, -m + 3*m = f. Calculate the highest common divisor of 9 and c. 9 Suppose -215 = -5*r - q + 234, 271 = 3*r - q. Suppose -p + 2*p - r = 0. Suppose -p + 25 = -5*t. What is the highest common factor of 117 and t? 13 Let h = -106 - -166. Let l = -5 - -17. What is the highest common divisor of l and h? 12 Let r be ((-12)/15)/(2/(-5)). Suppose -d + a = -2*a - 1, -5*a = -r*d + 6. What is the greatest common divisor of 26 and d? 13 Suppose 5*i - 18 + 2 = -4*w, 5*w + 2*i = 20. What is the greatest common divisor of 34 and w? 2 Let j = 2 - -1. Let k be j/(0 + 1) + 195. Calculate the greatest common factor of k and 18. 18 Let i be (-26)/(-4)*(6 + -2). Suppose 4*h + 68 = 224. What is the greatest common divisor of h and i? 13 Suppose -49 = -2*r + 31. Calculate the greatest common divisor of 100 and r. 20 Let w(c) = 12*c**2 - c. Let y be w(1). What is the highest common factor of y and 88? 11 Let t be 1/((-3)/(-9)) - 3. Suppose o - 2*o + 57 = t. Let y = -37 + o. Calculate the highest common divisor of y and 180. 20 Let a be 8/1 - (-7 - -5). Calculate the greatest common divisor of 2 and a. 2 Suppose -3*q + 0 = 2*i - 2, 0 = 4*i + 4*q - 8. Suppose -5*z + 28 = y, -y = y - i*z. Let v = 13 - y. What is the highest common factor of 5 and v? 5 Let u be 8*1*2/4. Suppose -60 = -0*z - u*z. What is the greatest common factor of 5 and z? 5 Let o(c) = -c**3 - 8*c**2 + 7*c + 9. Let l be o(-9). What is the greatest common divisor of 27 and l? 27 Let o be 5*(-2 - -2 - 9). Let x = -28 + -35. Let y = o - x. Calculate the greatest common factor of 6 and y. 6 Let u = -20 + 28. Let g(o) = o. Let m be g(4). Suppose b - 68 = -3*b + 3*c, m*b + c - 84 = 0. What is the greatest common divisor of u and b? 4 Suppose -33 = -2*j + 3*p, 0 = -j - 4*p - 5 - 6. What is the highest common divisor of j and 15? 3 Suppose 3*c - r = 123, -r = -c - 3*c + 163. What is the greatest common factor of c and 10? 10 Let o be 3*(1280/264 - 4/22). What is the highest common divisor of 28 and o? 14 Let r(d) = -2*d**2 - 28*d - 12. Let h be r(-13). What is the greatest common factor of 14 and h? 14 Suppose -2*a = -4*v + 3 - 141, -96 = 3*v + a. Let l = v + 69. Let r = l + -21. Calculate the greatest common factor of r and 5. 5 Let p(t) = -196*t**3 + t**2 + t + 1. Let s be p(-1). Suppose 4*q = 12, -4*g = -2*q - 3*q - 293. Let h = s - g. What is the greatest common divisor of h and 12? 12 Suppose 0 = h - 25 - 101. Let f(n) = 21*n**2 - n. Let i be f(1). Suppose -22 = -3*t + i. Calculate the highest common factor of h and t. 14 Suppose -107 = -2*a + 4*d + 5, -4*d - 160 = -3*a. Calculate the highest common divisor of 12 and a. 12 Let d be (1/(-2))/(12/(-240)). Let s be (-1 + 0 + -4)/(-1). What is the highest common divisor of s and d? 5 Let z be 4/(-6)*(-63)/6. Let t = z - 4. What is the highest common divisor of 9 and t? 3 Let s(l) = -l + 9. Let a be s(-4). What is the highest common factor of a and 117? 13 Let b(q) = q**3 - 13*q**2 + 2*q - 5. Let m be (-26)/(-2 - -2 - 2). Let r be b(m). What is the greatest common factor of 14 and r? 7 Let m(v) = 4*v - 4*v + 4*v - 3*v. Let p be m(3). Calculate the greatest common divisor of 33 and p. 3 Suppose 19 = d - 7. Suppose -4*l - 139 = -399. Calculate the highest common factor of l and d. 13 Let c be (8/(-6))/((-5)/(-15)). Let j be 25 - (-2 - 8/c). What is the highest common factor of j and 75? 25 Suppose v = -0*v + 6. Suppose -3*z + 26 = 2*i, 2*z + 73 = v*z - 5*i. What is the greatest common factor of z and 60? 12 Let y(u) = -4*u - 1. Let m(o) = 12*o + 3. Let f(n) = -4*m(n) - 11*y(n). Let a be f(-6). Calculate the greatest common factor of a and 207. 23 Let j = -38 + 59. Suppose -3*b = -3*u + 144, -3*u + j = 4*b - 144. Let d = -23 + u. Calculate the greatest common divisor of 14 and d. 14 Let d = 11 - 37. Let u = d - -36. Calculate the highest common factor of u and 10. 10 Suppose 108*n - 574 = 106*n. Calculate the greatest common divisor of n and 41. 41 Let w(r) = -21*r - 2. Let c be w(-2). Let u = 14 - 10. Suppose 2*s = u*s - 20. Calculate the greatest common divisor of s and c. 10 Let w be -1*(0 + 0) - -3. What is the greatest common factor of 12 and w? 3 Suppose -m + 4 = 0, -4*q - 3*m + 64 = -m. Let t be (-256)/(-18) - 2/9. What is the highest common factor of q and t? 14 Let h(u) = 30*u**2 - 2*u + 3. Let b be h(1). Calculate the highest common factor of b and 124. 31 Let t be ((-2)/5)/((-2)/20). Suppose -t*q = 16, -41 = -2*y - q + 241. Calculate the highest common factor of 13 and y. 13 Suppose 3 = -2*r + 5. Calculate the highest common factor of 8 and r. 1 Suppose j + 5*s = -1, 0 = -3*j - 0*j - 2*s - 29. Let w = j - -18. Let i = 4 + 3. What is the highest common factor of w and i? 7 Let s(n) = -n - 1. Let m be s(-4). Suppose r + 0*r = -m, 4*u + 72 = -4*r. Let x be (8/(-5))/(6/u). Calculate the highest common divisor of 1 and x. 1 Let r be (16/4*-2)/(4/(-70)). Suppose -3*z - 61 + 229 = 0. Calculate the highest common divisor of r and z. 28 Let c(q) = -129*q + 1. Let a be c(-1). Let d = -24 - -50. Calculate the highest common divisor of a and d. 26 Let m be -1 + 10/(4/2). Let h = m + -3. What is the highest common factor of h and 1? 1 Suppose -2*n + 3*s + 29 = -4, 0 = n + s - 24. Suppose 2*r = 93 - n. Calculate the greatest common divisor of r and 24. 12 Let g be 2 - (24/(-30))/(1/5). Let x be 2 - 2 - -1*4. Calculate the highest common factor of g and x. 2 Let o = -8 + 26. Calculate the highest common divisor of o and 6. 6 Let r(z) = -8*z + 1. Let i be r(2). Let f = i + 30. Suppose -4*a - 16 = -56. Calculate the highest common divisor of f and a. 5 Let g(u) = 59*u. Let a be g(1). Suppose c = -4*p + a, 2*c - 48 = -4*p + p. Let h be 60*(-3)/((-18)/p). Calculate the highest common factor of h and 28. 28 Let d be (-42)/2*(-10)/6. Suppose 0 = -3*g + 8*g + 15. Let t(i) = 2*i**2 + 5*i + 4. Let k be t(g). What is the greatest common factor of k and d? 7 Let a = 59 - 33. What is the greatest common factor of a and 234? 26 Let n be -1 + 10 + 1 + -4. Let f(a) = a**3 + 2. Let l be f(4). What is the greatest common divisor of l and n? 6 Let y(s) = s**3 - 7*s**2 + 10*s - 14. Let p be y(6). Calculate the greatest common divisor of 40 and p. 10 Let u be 18 + -1*(-12)/(-3). What is the greatest common divisor of u and 91? 7 Let m(v) = v**2 + 32. Let g be m(0). Let i be 1069/4 + 1/(-4). Let n = i - 187. Calculate the greatest common factor of n and g. 16 Let z = -25 + 54. What is the highest common divisor of 319 and z? 29 Suppose b - 2*b + 9 = 0. What is the highest common factor of b and 99? 9 Let b(j) = j**2 + 6*j - 2. Let u be b(-6). Let t be (-4328)/(-36) - u/(-9). What is the greatest common divisor of t and 48? 24 Let l = -183 + 76. Let x = 86 - l. Suppose 0 = -2*k + x + 93. What is the greatest common divisor of k and 13? 13
Suppose -8218*n + 8199*n = -130933 + 8934. What is the thousands digit of n? 6 Let k(r) = -r**2 + r + 3. Let p be k(-1). What is the tens digit of (-144 - (p + -3))/((-24)/36)? 1 Let l(q) = 54*q**2 - 118*q + 446. What is the hundreds digit of l(22)? 9 Let q(n) = 54*n - 14. Let w be q(7). Let v = w + 26. What is the hundreds digit of v? 3 Suppose -5*f - 2*k = -46497, 4*f - 4*k - 31161 - 6003 = 0. What is the units digit of f? 7 Let r(g) = g**2 + 14*g + 13. Let c be r(-12). Let i be (-930)/(-33) - (0 - 2/c). Suppose -35*m + 483 = -i*m. What is the units digit of m? 9 Suppose 35 - 89 = -3*h. Let w = h - 13. Suppose -3*v + 51 = z, -z + 4*v - 164 = -w*z. What is the units digit of z? 6 Let t = -148 - -153. Suppose -176 = t*u - 2276. What is the hundreds digit of u? 4 Suppose m - 69 = -4. What is the tens digit of (m/(-5))/(17/(-986))? 5 Suppose 761256 + 3392634 = 65*m. What is the tens digit of m? 0 Let u be -4*1/18*-12*174. Let y = u + -130. Suppose 5*i + 4*h + y = 913, -h - 344 = -3*i. What is the tens digit of i? 1 Suppose -a + 142 + 104 = -4*z, 4*z - 5*a = -238. Let b = z + 13. Let r = b - -110. What is the tens digit of r? 6 Suppose 2*q = 2*h + 19498, 21*q - 24*q + 2*h = -29247. What is the tens digit of q? 4 Let u be 2/(-6)*(-16 - -1). Suppose 0 = -t + 4*k - 16, -5*k + 5 = -u*t - 0*k. Suppose -1435 = -t*l - 3*l. What is the units digit of l? 5 Suppose i = -3*q + 6*q + 13293, 4*i = 2*q + 53222. What is the tens digit of i? 0 Suppose -10*a + 36 = 16. Let m(h) = -h + 2. Let s(g) = 61*g**2 + 7*g - 6. Let d(z) = a*m(z) + s(z). What is the tens digit of d(-2)? 3 Let w = 1 + 4. Suppose -857 = w*z + 998. Let k = -222 - z. What is the tens digit of k? 4 Let m(u) = 6*u**2 + 252. Let a be m(0). Suppose a = n - 178. What is the tens digit of n? 3 Suppose -4*h + 34998 + 25336 = f, 2*f = -2*h + 120716. What is the thousands digit of f? 0 Let a(y) = 7*y**3 - y**2 + y. Let p = 43 - 35. Suppose 3*u = 14 - p. What is the units digit of a(u)? 4 Suppose -3*r = -29 + 20. Suppose -5*u - r*p = -0*p - 545, -4*p + 20 = 0. What is the units digit of -3 - (-3 + 0 - u)? 6 Suppose -5*o - 346 = 364. Let i(q) = 238*q**2 + 34*q - 33. Let j be i(1). Let y = o + j. What is the tens digit of y? 9 Let k(j) = 173*j**3 + j**2 + 11*j - 19. Let i = 609 + -607. What is the thousands digit of k(i)? 1 Let z(i) = -4*i - 9. Let w be z(-3). Suppose w*f + 27 = -6*f. What is the tens digit of 2/(-4)*(-2 + -113 + f)? 5 Let u = 988 + -1001. Let r(y) = 6*y**2 + 23*y + 47. What is the hundreds digit of r(u)? 7 Let g = -2820 - -3695. What is the tens digit of g? 7 Let m(i) be the second derivative of i**4/4 + 5*i**3/3 + 7*i**2/2 + 3*i. Let u be m(-9). Suppose 3*k = u + 143. What is the hundreds digit of k? 1 Let t(w) = 60*w**3 - w**2 + 2. Suppose 6*r = -8*r + 14. Let g be t(r). Suppose -812 = -g*y + 54*y. What is the hundreds digit of y? 1 Let i(w) = 262*w + 9113. What is the hundreds digit of i(18)? 8 Let f = -88 + 94. Let l(z) = -z**3 + 7*z**2 + 22*z - 17. What is the units digit of l(f)? 1 Let j be 1*43 + 5 + -2 + -3. Let x = j - -369. What is the hundreds digit of x? 4 Let b(a) = 3*a**2 - 41*a - 10. Let w be b(14). Suppose 306 + 254 = w*f. What is the hundreds digit of f? 1 Suppose -3*z = -6*z + 6. Suppose 3*t + 2*l + 2*l = 11, z*t - 5*l = 15. Suppose 3*i - u = 288 - 72, 340 = 5*i + t*u. What is the tens digit of i? 7 Let i = 460 + -46. Let u = i - 27. What is the units digit of u? 7 Suppose 8*y - 5*y - 9 = 0. Suppose 3*u + 4*l + 263 = 0, 0 = 3*u + 4*l - y*l + 275. Let q = 183 + u. What is the tens digit of q? 9 Suppose -z = -4*k + 181039, 7*k - 3*z + 135768 = 10*k. What is the thousands digit of k? 5 Let f be 0 - -2 - (75 + -1). Suppose 5*t - 308 - 112 = -2*b, t + 4*b - 84 = 0. Let c = t + f. What is the units digit of c? 2 Suppose u - 4 = -v, -8*v + 13*v - 23 = -2*u. Suppose -j + z = -159, 2*j - v*z = -14 + 344. What is the tens digit of j? 5 Let t be 1*6/(-4 - -6). Suppose 175*v - 164*v - 165 = 0. What is the units digit of 2742/10 - t/v? 4 Suppose 43*h = -46378 + 435829. What is the units digit of h? 7 Let v = -1 - 1. Let g(w) = 3*w**2 - 19*w - 6. Let x be g(5). What is the units digit of (x/8)/(v/88)? 3 Let w(g) = -1900*g - 664. What is the tens digit of w(-8)? 3 Let v = 24 - -5. Suppose -4*k + 0*k + 47 = 5*x, x + v = 4*k. What is the tens digit of k/(-12)*165/(-10)? 1 Suppose 5*i + v = -243, -i = 3*i + 5*v + 186. What is the units digit of 116*(i - -32)*(-1)/2? 6 What is the units digit of (-10 + 338/39)/((-2)/(-41640)*-2)? 0 Let m(k) = 36529*k**3 + 2*k**2 - 93*k + 90. What is the hundreds digit of m(1)? 5 Suppose -8*f = -b - 6*f + 16698, 2*f + 8 = 0. What is the ten thousands digit of b? 1 Suppose -6*n = 260 - 62. Let x = n - -43. What is the units digit of (-2073)/(-15) - (8/x)/4? 8 Let c(z) = -48*z - 93. Let n be c(-9). Suppose -3*v = -3*p + n, -2*p = 3*v - 2*v - 214. What is the units digit of p? 9 Suppose 4*z - 4906 = -2*f + 3842, -3*z = 5*f - 21877. What is the thousands digit of f? 4 Let j = 137 + -111. Let w(g) = g - 10. Let u be w(0). Let q = u + j. What is the units digit of q? 6 Let z = 6044 - 3431. Suppose 12*n = 9*n + z. What is the tens digit of n? 7 Let o(a) = 463*a**2 - 48*a - 184. What is the hundreds digit of o(-4)? 4 What is the units digit of -32 + 18052 + 3 + -3? 0 Suppose -6016 = -2*n + 4*w, 0*n = 3*n - 5*w - 9023. Let m = n + -1792. What is the tens digit of m? 1 Let x = -166 + 169. Suppose t + 2*t - s - 481 = 0, -t + x*s = -163. What is the hundreds digit of t? 1 Let b(x) = 14*x**2 + 4*x + 3. Let y be -3 - (-5 + (5 - -4)). Let u be b(y). Suppose 6*o = u + 83. What is the units digit of o? 4 Suppose -3*w = 46 - 22. Let l(f) = -87*f + 146. What is the units digit of l(w)? 2 What is the units digit of (-206)/((6/11)/3 + 6837/(-35002))? 4 Let i(c) be the third derivative of 43*c**4/24 + 629*c**3/6 + 60*c**2. What is the hundreds digit of i(0)? 6 Suppose -40 = 34*q - 38*q. What is the tens digit of (-6)/15 - (-7314)/q? 3 Let v(h) = h**3 + 8*h**2 + 7. Let a(j) = j**3 + 21*j**2 + 21*j + 35. Let d be a(-20). Let p(b) = -b + 8. Let l be p(d). What is the units digit of v(l)? 6 Suppose 2*d + 4 = -6. Let b(l) = l + 8. Let z be b(d). Suppose -161 - 19 = -z*c. What is the units digit of c? 0 Let s(w) = w**2 - 21*w + 14. Let p be s(20). Let r(u) = -105*u - 50. What is the units digit of r(p)? 0 Suppose 9*a - 14*a = -3185. Let p = a + -308. What is the hundreds digit of p? 3 Suppose -18*f + 27 = -9. Let o(u) = u**3 + 7*u**2 + 5*u + 4. Let k be o(-5). What is the units digit of k*f - (17 - 15)? 6 Let l(f) = f + 2. Let n(j) = 17*j. Let o(g) = -30*l(g) + 5*n(g). What is the tens digit of o(11)? 4 Let o(n) = -3*n**2 + 51*n + 3. Let l be o(17). Suppose 4*z + s = -88 + 317, -3*z - 3*s + 183 = 0. Suppose -299 + z = -l*y. What is the units digit of y? 1 Suppose 0 = -g + 3*g + 94. Let i(s) = -6*s - 1. Let y be i(4). Let b = y - g. What is the tens digit of b? 2 Let x(z) = -z**3 - 3*z**2 - z - 1. Let l be x(-5). Suppose l*u - 49*u = -15. What is the tens digit of (184/(-6) + 0)*u? 9 Suppose -n - 5*s + 20713 = 1790, -5*s = -5. What is the thousands digit of n? 8 Let v = 599 - -18249. What is the units digit of v? 8 Suppose 4*b = -8, 7*b + 10 = -2*d + 2*b. Suppose 5*h + 25 = d, 20*u - 8150 = 15*u + 4*h. What is the tens digit of u? 2 Let z(v) = -10*v**2 - 9*v**2 + 24*v**2 + 14 + 76*v**2 + 14*v + 8. What is the hundreds digit of z(-2)? 3 Let z(t) = 19*t**2 - 40*t + 482. What is the units digit of z(24)? 6 Let x(r) = -37*r**3 - 4*r**2 + 18. Let c be x(-3). Suppose -9*z = -261 - c. What is the hundreds digit of z? 1 Suppose -5*q + 3720 = -0*h - 4*h, -5*q - h = -3720. Suppose 2*j + 11*i = 6*i + 346, -3*i = -4*j + q. What is the hundreds digit of j? 1 Let q(b) = 12*b + 31. Let g be q(-7). Let n = g + 55. Suppose 4*j - 92 = n*j - 3*y, 2*y - 8 = 0. What is the tens digit of j? 4 Let m = 45 - 43. Suppose m*d = -x - d - 19, -27 = 2*x - 5*d. Let l(c) = -c + 34. What is the tens digit of l(x)? 5 Suppose 0 = 6*p + 53 - 59. Let w(c) = 18*c**2 + 2*c - 1. Let y(a) = -19*a**2 - 2*a + 1. Let d(f) = 4*w(f) + 3*y(f). What is the tens digit of d(p)? 1 Suppose -8*v = -4*v - 2*v - 13226. What is the tens digit of v? 1 What is the thousands digit of (0 + (-3603)/4)/(1 + (-25)/24)? 1 Let c = -1 + 0. Suppose 4*s + 29 - 9 = 4*f, -4*s - 18 = -3*f. What is the hundreds digit of 164 + (s - 0 - c)? 1 Let r be 3 - (-1503)/(-12) - (-6)/(-8). Let p = r - -376. Let f = p - 128. What is the units digit of f? 5
Let s(k) = 171*k + 2. Let n(c) = 11*c**2 + 1. Determine s(n(p)). 1881*p**2 + 173 Let f(l) = l**2. Let g(s) be the third derivative of -37*s**6/360 + 14*s**3/3 + 28*s**2. Let p(d) be the first derivative of g(d). Determine p(f(q)). -37*q**4 Let m(c) = -20*c. Let f(v) = v**3 - v + 177. Let w be f(0). Let d(n) = n**2 - 177 + w + 0*n**2. Calculate d(m(g)). 400*g**2 Let m(a) = 8*a**2 + 2. Let w(t) = -81*t**2 - 21. Let p(d) = -42*m(d) - 4*w(d). Suppose 0 = -7*r + 11*r. Let n(s) = 3*s + s + r*s - 3*s. Calculate p(n(u)). -12*u**2 Let h(t) = -2*t**2. Let z(k) be the third derivative of -7*k**4/3 + 49*k**2 + 1. What is z(h(a))? 112*a**2 Let r(m) = -2*m**2. Let d(a) = -8*a + 3. Let w(t) = 5*t - 2. Let p(j) = -2*d(j) - 3*w(j). Give p(r(y)). -2*y**2 Let j(k) = 6*k - 26. Let p(u) = -445*u**2. Give j(p(x)). -2670*x**2 - 26 Let u be -5 + ((-3)/(-3) - -1). Let a be -36*((-30)/8 - u). Let v(o) = -27 + 2*o + a. Let b(g) = -7*g**2. Give v(b(j)). -14*j**2 Let r(i) = 4*i. Let p(f) = 46*f**2 - 5*f - 3. Let x(d) = 69*d**2 - 8*d - 5. Let m(v) = 8*p(v) - 5*x(v). What is r(m(j))? 92*j**2 + 4 Let h be (-40)/(-6)*(-7)/((-70)/24). Let m(y) = 16*y + 11*y**2 - h*y. Let p(k) = 4*k. Let j(w) = -2*w. Let d(t) = -9*j(t) - 4*p(t). Determine d(m(x)). 22*x**2 Let f(d) = 102 - 208 + 106 + d**2. Let k(s) be the third derivative of -s**4/12 - 16*s**2. Calculate f(k(y)). 4*y**2 Let n(o) be the third derivative of -67*o**5/20 - 57*o**2 - 5. Let l(j) = 3*j**2. Give n(l(s)). -1809*s**4 Let j be ((-11)/(-77)*0)/(-4). Let o(a) be the second derivative of -6*a + j - 7/12*a**4 + 0*a**2 + 0*a**3. Let c(g) = g. Calculate o(c(d)). -7*d**2 Let v = 26 - 22. Let x(l) = -2*l + v*l + 0 - 24 - l. Let w(g) = g**2. Determine w(x(p)). p**2 - 48*p + 576 Let b(c) = -4*c**2. Let x(t) = 325*t**2 + 15*t + 6. Calculate x(b(q)). 5200*q**4 - 60*q**2 + 6 Let y(t) be the second derivative of -t**4/4 - 17*t**3/6 + 20*t. Let n(l) = -l. Calculate n(y(r)). 3*r**2 + 17*r Let i(x) = 1157*x + 1. Let q(l) = -4*l**2. Calculate q(i(a)). -5354596*a**2 - 9256*a - 4 Let h(b) = 4*b**2 + 618*b - 14. Let j(o) = o. Calculate j(h(w)). 4*w**2 + 618*w - 14 Let a(k) = 168 - 168 + 4*k**2. Let y(f) = -f**2. Let g be 12 + 1 + 6 + -8. Let v(o) = 2*o**2. Let z(j) = g*y(j) + 4*v(j). Give z(a(h)). -48*h**4 Let v(x) be the second derivative of -x**4/6 - x**2 + x. Let b(d) be the first derivative of v(d). Let c(s) = -s**2 - 29*s + 29*s. Determine c(b(u)). -16*u**2 Let r be 0*3/(-9) + 4. Let q(s) = 4 + 8*s - 4*s - r. Let i(c) = 3*c + 16. Let m(b) = 12*b + 60. Let z(u) = 15*i(u) - 4*m(u). Give z(q(o)). -12*o Let w(a) = 14*a**2. Let n(z) = -10*z + 3*z + 7*z + 2*z + 2*z. What is n(w(u))? 56*u**2 Let u = 13 - 5. Suppose 3*h - u + 2 = 0. Let z(x) = -x**2 + x**2 + 4*x**h - x**2. Let f(p) = 6*p. Determine f(z(g)). 18*g**2 Let l(p) = p**2. Suppose -3*u - y + 7 = 0, -3*y - 2 = -5. Let r(d) be the second derivative of 0*d**u + 0 + 5*d - 1/3*d**3. Calculate r(l(q)). -2*q**2 Let c(m) = -51*m + 28. Let g(d) = d. Give c(g(o)). -51*o + 28 Let f(c) = -344*c - 1. Let p(z) = 2*z**2 + 44. Determine f(p(k)). -688*k**2 - 15137 Let z(g) be the second derivative of -g**3/3 - g - 41. Let w(b) = 32*b + 1. What is z(w(a))? -64*a - 2 Let c(f) = -3*f**3 - 12*f**2 + 3*f + 9. Let l be c(-5). Let k(h) = l + 65 - 134 + 5*h**2. Let r(v) = -5*v. What is r(k(a))? -25*a**2 Let x(c) = c - 5. Let a(q) = 3*q - 18. Let p(r) = 5*a(r) - 18*x(r). Let z(o) = -5*o - 3. Let s(y) = y + 1. Let f(j) = 3*s(j) + z(j). Give f(p(l)). 6*l Let b(m) be the first derivative of 8*m**3 + 2*m**2 - 18. Let a(v) = 2*v. What is b(a(t))? 96*t**2 + 8*t Let x(v) = -53*v**2 + 78*v**2 - 24*v**2. Suppose -2*t - 45 = -5*i - 4*t, -2*i = -t - 18. Let g(s) = i*s**2 + 6*s**2 - 3*s**2. What is x(g(q))? 144*q**4 Let d(j) = -j. Suppose 4*w - 23 = -l, -8*l + 3*l = -w + 11. Let v(q) = 6 - 2*q**2 - w. Calculate d(v(t)). 2*t**2 Let v(t) = 11*t**2 + 6*t + 3. Let s(a) = -10*a**2 - 8*a - 4. Let y(l) = 3*s(l) + 4*v(l). Let x(d) = -4*d**2 + 2 + 7*d**2 - 2. Give y(x(u)). 126*u**4 Let s(w) = -100*w - 11 + 41 - 12 - 18. Let x(v) = v. Calculate s(x(a)). -100*a Let w(h) = -20*h**2 - 5*h + 4. Let a(v) = 19*v**2 + 4*v - 3. Let i(y) = -5*a(y) - 4*w(y). Let u(j) = -2*j. Calculate u(i(n)). 30*n**2 + 2 Let n(o) = -403*o. Let a(b) = 15*b - 2. Calculate n(a(y)). -6045*y + 806 Let v(h) = 8*h**2 - 6*h. Let g(z) = -2620*z. Give v(g(x)). 54915200*x**2 + 15720*x Let m(g) = 2*g. Let p(n) = -43*n - 2*n**2 + 84*n + n**2. Determine p(m(d)). -4*d**2 + 82*d Let h(r) = -10*r**2. Let t be ((-80)/(-64))/((-1)/4). Let v(l) = -3*l. Let f(m) = 4*m. Let d(u) = t*f(u) - 6*v(u). Give h(d(c)). -40*c**2 Let z(y) be the third derivative of -33*y**4/8 - 71*y**2 + y. Let w(h) = -2*h**2. Calculate z(w(i)). 198*i**2 Let x(f) = 133*f. Let a(m) = -50*m**2 - 307. Calculate a(x(q)). -884450*q**2 - 307 Let q = 6 - 3. Let a(w) = -3*w + q*w + 5*w**2. Let c(s) be the first derivative of s**2/2 - 147. Calculate c(a(b)). 5*b**2 Let a(z) be the first derivative of -z**2/2 - 106. Let y(j) = 18*j - 2. Calculate y(a(i)). -18*i - 2 Let a(u) = -4*u + 4*u + 4*u. Let v(i) = -900*i**2 + 35*i - 35. Let q(y) = -103*y**2 + 4*y - 4. Let j(p) = -35*q(p) + 4*v(p). What is a(j(w))? 20*w**2 Let g(b) = b. Let n(u) = -1103*u. Determine n(g(w)). -1103*w Let d(p) = -477*p**2 + 2 + 943*p**2 - 2 - 469*p**2. Let n(g) = -4*g**2 + 16*g. Calculate n(d(j)). -36*j**4 - 48*j**2 Let o(u) = 38*u + 4. Let p(q) = -48*q - 5. Let n(s) = -5*o(s) - 4*p(s). Let f(d) = -d. Let h(y) = 5*y**2 + 2*y. Let j(i) = 6*f(i) + 3*h(i). Give j(n(x)). 60*x**2 Let v(b) = -2*b**2. Let u(g) = g**2 + 3*g + 2. Let y be u(-3). Let h be 1 - y - (-13 + 1). Let i(k) = h*k - k - k. Determine v(i(o)). -162*o**2 Let x(u) = -u**2 + u. Let d(j) = -14*j**2 + 12*j. Let v(t) = -d(t) + 12*x(t). Let m(o) be the third derivative of -5*o**4/8 + o**3/6 - 314*o**2. Give v(m(a)). 450*a**2 - 60*a + 2 Let b(n) = 134714*n**2. Let i(c) = -4*c**2. Calculate i(b(p)). -72591447184*p**4 Let j(t) = -2518*t + 1212*t + 1262*t. Let m(f) = -2*f**2 + 6*f - 6. Let q(w) = -w + 1. Let r(l) = m(l) + 6*q(l). Calculate r(j(s)). -3872*s**2 Let o(k) = 2*k**2. Let b be (6/(-15))/(3 + (-48)/15). Let n be 28/16 - (-2)/8. Let v(t) = -4 + n + b + 11*t. What is o(v(p))? 242*p**2 Let t(q) be the third derivative of 7*q**4/24 + 95*q**2. Let n(m) = -123*m**2. Calculate t(n(o)). -861*o**2 Let w(l) = -13*l**2. Let g(y) = -14*y**2 - 5. Calculate g(w(d)). -2366*d**4 - 5 Let v(j) = -89*j. Let b(y) = 3015*y. What is b(v(t))? -268335*t Let p(i) = -43*i - 70. Let k(g) = 46*g. Give k(p(m)). -1978*m - 3220 Let s(r) = 662*r**2 + 131*r. Let x(z) = -5*z**2. Calculate s(x(a)). 16550*a**4 - 655*a**2 Let s(w) = 12*w. Let r(b) = 106*b**2 - 3*b - 1. Calculate s(r(h)). 1272*h**2 - 36*h - 12 Let f(o) = -5*o**2. Let v(s) be the first derivative of s**6/180 + s**3 + 4. Let a(j) be the third derivative of v(j). Determine f(a(p)). -20*p**4 Let n(v) = 5*v - 3*v - v. Let p(a) be the first derivative of -4*a**2 + 5100. What is p(n(i))? -8*i Let x(n) = -n**2. Let v = 695 - 693. Let j be (-16)/(-10) + 4/10. Let k(t) = 5*t**2 + 5*t**2 - v*t**j + 0*t**2. What is k(x(l))? 8*l**4 Let b(g) = -g + 0 - 6 + 2 + 11*g. Let d(h) be the third derivative of -h**4/24 + h**3/6 + 16*h**2. Let j(y) = b(y) + 4*d(y). Let o(c) = c. Calculate j(o(x)). 6*x Let x(l) = -l**2 + 10*l + 2213. Let d(f) = -11*f**2. Determine x(d(h)). -121*h**4 - 110*h**2 + 2213 Let a(r) = 26*r**2. Let w(n) = 14*n + 5. Let u(l) = -9*l - 3. Let d(s) = 5*u(s) + 3*w(s). Determine a(d(f)). 234*f**2 Let y(j) = -j. Let d(q) be the third derivative of 0*q**3 + 17*q**2 + 0 - 29/24*q**4 + 0*q. Give d(y(c)). 29*c Let f(y) = -5*y. Let z(c) = -2*c + 36*c + 54*c - 3*c. Give f(z(u)). -425*u Let c(p) be the third derivative of -47*p**4/2 - p**2 + 192. Let u(r) = -2*r**2. What is c(u(o))? 1128*o**2 Let g(f) = -31*f. Let c(h) = 15*h. Let x(o) = -10*c(o) - 4*g(o). Let z(l) = l. Let k(p) = 3*p - 439 + 439. Let b(w) = k(w) - 5*z(w). What is x(b(i))? 52*i Let r(s) be the third derivative of s**5/60 + 9*s**3/2 + 20*s**2. Let o(p) = 2*p. Give o(r(h)). 2*h**2 + 54 Let t(v) = 220*v. Let n(f) = -55*f. Let j(d) = 15*n(d) + 4*t(d). Let y(i) = -i**2. Give y(j(u)). -3025*u**2 Suppose 0 = -2*c - 3*h - 259 + 2967, 4*h = 16. Let q(d) = -1348 + c + 5*d**2. Let s(l) = -7*l. Determine q(s(b)). 245*b**2 Let r(d) = 248378*d**2. Let h(x) = x**2. Calculate h(r(w)). 61691630884*w**4 Let s(z) be the first derivative of 0*z**2 + 0*z - 4 - 7/3*z**3. Let t(d) = d + 1. Let o(q) = 6*q + 8. Let k(u) = o(u) - 8*t(u). Calculate k(s(i)). 14*i**2
Suppose 4*j + 3*l + 72 = -0*l, -2*j - 26 = -l. Let m be ((-6)/j)/((-3)/(-30)). What are the prime factors of m/(-6)*315/(-30)? 7 Let o = 7 + -4. Suppose -5*a - 4*d - d = -850, 5*a - 866 = 3*d. Suppose -p + a = o*p. What are the prime factors of p? 43 Suppose -3*i = -315 - 48. Let p = i + -206. Let q = p - -125. What are the prime factors of q? 2, 5 Suppose z - 5*z = 3*z. Suppose -2*m = -4*m - 10, -3*v + 3*m + 69 = z. What are the prime factors of v? 2, 3 Suppose -a + 5*v = -1340, 5*a = -39*v + 41*v + 6700. What are the prime factors of a? 2, 5, 67 Suppose 6*i = 4*i + 116. List the prime factors of (i/4)/(6/12). 29 Let c(s) = -s**3 + 6*s**2 - 6*s - 8. Let f be c(6). Let o(t) = -t**3 - 4*t**2 - 8*t + 23. Let w be o(3). Let k = f - w. What are the prime factors of k? 2, 5 Let w(l) = 28*l**2 + 53*l + 361. List the prime factors of w(-6). 1051 Let g = 751 + -294. What are the prime factors of g? 457 Let n = 115 - -629. List the prime factors of n. 2, 3, 31 Let w(g) = 17*g**2 + 5*g - 82. What are the prime factors of w(6)? 2, 5, 7 Suppose -6*v + 29 = 11. What are the prime factors of v? 3 Let i(k) = -4*k**2 - 2*k. Let d be i(-2). What are the prime factors of 1/((d/(-764))/3)? 191 Let g = -246 + 438. What are the prime factors of g? 2, 3 Suppose 0 = 5*a - 3*u + 9, 3*a = 2*u - 0*u - 6. Let m be (-1)/2*(0 - 102/3). Suppose a*l - m = -l. List the prime factors of l. 17 Let c be (0 - 1) + (2 - (3 + -4)). Suppose -84 = -c*v - k, -4*v + 2*k = -2*k - 180. List the prime factors of v. 43 Suppose 0 = 4*r + 8, 4*a + r - 8 = 2*a. Suppose 66 + 11 = 2*v + a*i, 2*i - 88 = -3*v. What are the prime factors of v? 2, 13 Suppose -9*h + k = -5*h - 10228, 0 = -h + k + 2560. List the prime factors of h. 2, 3, 71 Let k(t) = -11*t + 19. Let c(l) be the first derivative of -2*l**2 + 6*l + 2. Let r(b) = 17*c(b) - 6*k(b). List the prime factors of r(-7). 2 Let m = 5 - 8. Let t(g) = -g**2 - g + 7. Let z be t(m). What are the prime factors of ((-3)/z - -13) + 3? 13 Suppose 0*m = -m - 8. Let l = 62 + m. Suppose 0 = 5*j + j - l. What are the prime factors of j? 3 Let p(x) be the third derivative of x**5/60 - x**4/6 - 4*x**3/3 - 8*x**2. List the prime factors of p(7). 13 Let n = -31 + 31. What are the prime factors of 118 + (0 - 1)*3 + n? 5, 23 Suppose 97*j = 9*j + 93192. What are the prime factors of j? 3, 353 Suppose -14 = -5*v - 3*z + 6, -5*z = 5*v - 20. Suppose 4*x - 2*y = 22, 2*x - 14 = 2*y - v. Let u(r) = r**3 - 7*r**2 + 6*r + 8. List the prime factors of u(x). 2 Let r(p) = 421*p - 14. Let m be r(-5). Let f be (-2)/(-3) - m/39. Suppose 0 = 2*h - f - 1. List the prime factors of h. 2, 7 Let g(z) be the third derivative of z**6/120 - z**5/10 + z**4/24 - 2*z**3/3 + 17*z**2. What are the prime factors of g(6)? 2 Let c = -103 - -112. List the prime factors of (((-39)/c)/(-1))/((-1)/(-3)). 13 Let k(f) = 115*f**2 - 11*f - 2. What are the prime factors of k(-2)? 2, 3, 5 What are the prime factors of (-7608)/18*105/(-20)? 7, 317 Let b be (-12)/(-30) + (-32)/5. Let l be (2/b)/(4/24). Let j(x) = 15*x**2 + 5*x + 3. List the prime factors of j(l). 53 Let n = 71 - -120. Let z = -86 + n. What are the prime factors of z? 3, 5, 7 Let h = -105 - -65. Let f = h + 106. List the prime factors of f. 2, 3, 11 Suppose -2*j = -4*f - 5830, 5*j + 5*f = 9*j - 11657. List the prime factors of j. 3, 971 What are the prime factors of 6875/11 - (1 - -2)? 2, 311 Let i(b) = 4*b**2 + 17*b - 6. Let r be i(-5). Let z = r + 53. What are the prime factors of z? 2, 31 Let p = -16 - -21. Suppose 83 = -p*f - 62. Let m = f - -78. List the prime factors of m. 7 Let f = -285 - -339. List the prime factors of f. 2, 3 Suppose -4*v + 3*d - 176 = -5*v, 4*v - 772 = 5*d. List the prime factors of v. 2, 47 Suppose -4*b + 21 = -p - 8*b, -21 = -4*p + 5*b. Let g(t) = 23*t**2 + t + 1. What are the prime factors of g(p)? 23 Let l(s) = -5*s**3 + 3*s + 2. Let f be l(-1). Suppose -2*u + 5*a - 13 = u, -11 = -f*u + a. List the prime factors of u. 2 Suppose -y = -4*h + h + 9, -10 = -4*h + 2*y. Suppose -2*m = -h*b + 280, -4*b + 280 = 2*m + 2*m. What are the prime factors of b? 2, 5, 7 Let i = -72 + 77. Suppose 499 = 2*x + i*d, 256 = 2*x - 2*d - 278. List the prime factors of x. 2, 131 Let t(j) = j**3 + 4*j**2 + 3*j + 1. Let s be t(-3). Let u(m) = 55*m + 2. Let l be u(s). Suppose x = -y + l, x = y + y + 63. List the prime factors of x. 59 Let q(c) = 499*c**2 - 1. List the prime factors of q(-1). 2, 3, 83 Let x(s) = 19*s**2 + 3*s - 27. What are the prime factors of x(-5)? 433 Suppose 7675 = 14*z + 1151. What are the prime factors of z? 2, 233 Let k(w) = -w**2 - 5*w - 3. Let r be k(-3). Let g(a) = r + 5*a - 5 - a**2 - 5*a - 9*a. What are the prime factors of g(-7)? 2, 3 Let l(d) = -2*d + 27. Let s be l(12). Let m(r) = 7*r + 4. What are the prime factors of m(s)? 5 Let z(c) = 5*c**2 - c - 38. What are the prime factors of z(-5)? 2, 23 Let p(a) = -243*a + 45. What are the prime factors of p(-3)? 2, 3, 43 Suppose -q - 5*h + 18 = 0, 2*q + 2*q - 4*h = 0. Let b be q + (2 - 3) + 19. Suppose b = -3*k + 6*k. What are the prime factors of k? 7 Suppose 0 = -x + 2*m - 6, 2 = 3*m - 10. Suppose -x*c + 26 = -0. What are the prime factors of c? 13 Let n be (2/3)/(10/240). What are the prime factors of n*2 + 1 + -3? 2, 3, 5 Suppose 0 = 2*s + 2*u - 3738, 4*s + 1435 = -2*u + 8911. What are the prime factors of s? 3, 7, 89 Let j(t) = 35*t**3 + t**2 - t. Let x be j(1). Suppose 0 = -5*s + x. List the prime factors of s. 7 Let z(k) = 2*k + 1. Let t be z(2). Let b(x) = 28*x - 4. Let m be b(t). Suppose -m = 5*r - 391. List the prime factors of r. 3, 17 List the prime factors of 12708/30 + 2/5. 2, 53 Suppose 504 = -4*w - 3*s + 95, -3*w - 291 = -3*s. Let y = -42 - w. What are the prime factors of y? 2, 29 Let o be 9/(-2)*4/(-6). Let f be 31/4 + o/12. Let u(b) = -b**3 + 7*b**2 + 12*b - 6. What are the prime factors of u(f)? 2, 13 What are the prime factors of 228206/308 + (-2)/(-28)? 3, 13, 19 Let i(d) = 0*d**3 + 2*d**2 + 1 + 2*d**3 - 6. List the prime factors of i(3). 67 Let f be 36 + 1 - (2 - -1). Suppose n = -m + f, 2*n + 0*n - 182 = -5*m. What are the prime factors of m? 2, 19 Suppose -61*z + 1004 = -59*z. What are the prime factors of z? 2, 251 Suppose -d + 8076 = 5*d. What are the prime factors of d? 2, 673 Suppose w = -2*z + 20 + 20, 180 = 4*w + 3*z. Let i = w - -168. What are the prime factors of i? 2, 3 Let n = -50 - -30. What are the prime factors of 3 - (4 + -2) - n? 3, 7 Let m(o) = 6*o**2 + 0*o**2 + 4 - o**3 + 0*o**3 - o - 4*o**2. Let n be m(-4). Let h = 147 - n. List the prime factors of h. 43 Suppose u = 6*u - 285. List the prime factors of u. 3, 19 Suppose 0 = f - 2*f + 8. Suppose -6 = -f*m + 10*m. What are the prime factors of 6 + 1 + m + 0? 2 Let g(k) = -k**3 - 12*k**2 - 6*k + 1. Let y be g(-12). Suppose -y*s + 76*s = 291. What are the prime factors of s? 97 Let n(g) = -g**3 + 9*g**2 - g - 7. Let c be n(8). Let t = -29 + c. Suppose -5*o + 24 = b, 2*b - t = -4*o + 10. What are the prime factors of b? 3 Let t(j) = -3*j**3 + j - 3*j**2 + 2 + 2 + 3*j. Let v be ((-65)/10)/13*12/2. What are the prime factors of t(v)? 2, 23 Suppose -4*x = 3*f - 3016, 5*f + 2423 = 3*x + 132. List the prime factors of x. 757 Suppose -4*o = -3*m + 932, -1143 = -4*m + 3*o + 95. List the prime factors of m. 2, 7, 11 Let y be (3/6)/((-5)/(-120)). Let n(o) = 8*o - 21. Let d(g) = -15*g + 42. Let x(a) = -5*d(a) - 9*n(a). What are the prime factors of x(y)? 3, 5 Suppose 2*f + 0 = 12. Suppose -54 - 156 = 5*h. Let c = f - h. What are the prime factors of c? 2, 3 Suppose 6 = 2*i + 2. Suppose 3*r - 5*r - 345 = -5*v, -v + i*r + 61 = 0. List the prime factors of v. 71 Let j(a) = 199*a + 3. List the prime factors of j(3). 2, 3, 5 Suppose 3*d = 4*g - d - 1132, 3*g - 5*d = 841. Suppose 4*f = g + 57. List the prime factors of f. 2, 43 Let w(q) = q + 7. Let c be w(2). Suppose -2062 = -c*i - 748. What are the prime factors of i? 2, 73 Let f = -9 + 16. Let i be f + (-1)/(4/16). Suppose -13 = -3*h + 2*h + 2*v, i*h - 19 = v. What are the prime factors of h? 5 Let a(f) = 75*f + 12 + f**3 + 2 - 7*f**2 - 81*f. What are the prime factors of a(8)? 2, 3, 5 Suppose -9*n + 3569 = -1426. What are the prime factors of n? 3, 5, 37 Let f(v) be the third derivative of -v**6/120 - 2*v**5/15 - 3*v**4/4 - 19*v**3/6 - 30*v**2. What are the prime factors of f(-8)? 5 Suppose -2*c - 5*f = -5, -4*c = 3*f - 0*f - 17. Suppose -c*t + 244 = -186. Suppose -5*z + t = -9. What are the prime factors of z? 19
Let p = 15719 + -15563. What is the highest common factor of p and 559? 13 Let z be (-3 - 0)/3*(-11 + -489). Let v be 45/(-36)*8*-2. What is the highest common divisor of v and z? 20 Suppose 0 = -11*j + 438 + 321. Let k = -62 + j. Calculate the greatest common factor of 28 and k. 7 Let k(a) = 7*a**3 - 58*a + 192. Let d be k(6). Calculate the highest common divisor of 3842 and d. 226 Suppose 21*a + 5324 = -a. Let t = 214 - a. Calculate the highest common divisor of 171 and t. 57 Let q(j) = 3*j + 6*j - 1 - 5*j. Let p be q(4). Suppose 7*m - 2 = 19. Calculate the greatest common divisor of m and p. 3 Suppose 1862 = 4*m - 3*s, -5*s + 424 = -2*m + 1334. Calculate the highest common factor of m and 80. 10 Suppose -7931 - 14637 = -62*i. Let n be -2 - -20*(-6)/(-4). What is the highest common factor of n and i? 28 Let b(k) = -5*k**2 - 6*k + 9. Let l be b(-6). Let z = 458 + l. Let w = 456 - z. What is the greatest common factor of w and 19? 19 Suppose 790 = 3*s + 784, 4*a - 130 = -s. Calculate the highest common divisor of 176 and a. 16 Let w(s) = s**3 + 12*s**2 - 2*s + 1. Let u be w(-12). Suppose 3*j = -u*j + 1120. What is the highest common factor of 35 and j? 5 Let x = 6997 - 6925. Calculate the highest common divisor of x and 2952. 72 Suppose 28*t + 2374635 - 610569 = 151*t. Calculate the highest common factor of 202 and t. 202 Suppose 0 = -m + 5*v - 1, 4*m + 96 = -0*m - 3*v. Let w be ((-25)/(-15))/((-1)/m). Let l be 0 - 0 - -1 - -279. Calculate the highest common divisor of w and l. 35 Let i(c) = -3*c**2 + 160*c - 86. Let p be i(43). What is the highest common divisor of p and 86? 43 Suppose -136*u = -12633 - 10487. Calculate the highest common divisor of u and 4165. 85 Suppose -4*k = -2*s - 30 - 22, 5*k - 67 = 2*s. Suppose 0*h + 918 = 2*h - 3*o, 5*h = -4*o + 2341. Calculate the greatest common divisor of k and h. 15 Suppose -6*c = -9*c - 5*s - 256, 3*s - 12 = 0. Let v = 148 + c. Let l = 0 + 7. What is the highest common factor of l and v? 7 Let i be 12/48*(-3 + 3) + 1. Let c be -54*(3 + -1)*(-2 + i). Let a = 20 + -8. Calculate the highest common divisor of c and a. 12 Let u be 6*28/((-2016)/(-2580)). What is the greatest common divisor of 6149 and u? 43 Let i(h) = 572*h - 3971. Let s be i(7). Calculate the greatest common divisor of s and 473. 11 Let k be (-1)/((-3)/6)*3. Let s(m) = -m**3 + 29*m**2 - 106*m + 1479. Let x be s(27). Calculate the highest common factor of k and x. 3 Let z(j) = j**2 - 50*j + 304. Let n be z(46). What is the highest common factor of n and 1500? 60 Suppose 5*f + 51*f = 5376. Let q = 12 - 6. Calculate the highest common factor of q and f. 6 Let f(y) = y**2 - 114*y + 3218. Let l be f(38). Calculate the greatest common divisor of 1914 and l. 66 Let k be (-6)/10 + (-20292)/(-95). Calculate the greatest common factor of 4189 and k. 71 Suppose 32 - 7 = -5*o, -m + 855 = 5*o. Calculate the greatest common divisor of m and 55. 55 Suppose 10*j - 12*j = m - 19, 7*j = m - 28. Calculate the greatest common divisor of m and 287. 7 Let p = -3174 - -5724. Calculate the highest common divisor of 200 and p. 50 Let n be 7 + (3765/(-3 + 6) - 1). What is the greatest common factor of 65 and n? 13 Suppose 0 = 44*a - 38*a - 18. Let z be (-2*1)/((-6)/a)*-20. Let r be (-1)/(-5) - 516/z. Calculate the highest common divisor of r and 78. 26 Suppose 5*m = -10, -4*v + 6*m = 11*m + 22. Let z be 117/2*(5 + v). Calculate the highest common factor of z and 12. 3 Suppose 6582 = 205*y - 20478. Calculate the greatest common factor of 814 and y. 22 Let h(j) = 23*j + 96. Let v be h(-2). Let d = 173 - v. Calculate the highest common divisor of 41 and d. 41 Suppose -123 = 21*f - 417. Suppose -2*v = -0*v - 56. What is the greatest common divisor of f and v? 14 Suppose 4*k + k + 25 = f, f = 5. Let o be 63/(-7)*k*1. Calculate the greatest common factor of o and 306. 18 Let p be 757 - -1*(-9 + 20). Calculate the greatest common factor of 72 and p. 24 Let g(t) = t**2 + 9*t + 2 - 5 + 1. Let w be g(-11). Let q(s) = s**3 + 3*s**2 - 57*s - 166. Let b be q(-3). What is the highest common divisor of b and w? 5 Suppose 3*a - 12 = 6*a. Let l be (28 - (a - -8))*1. Suppose 5*h = -423 + 438. What is the greatest common factor of l and h? 3 Let m be 8/((-40)/15)*-1. Suppose 2*v - 495 = q, 3*q = m*v - v - 497. What is the greatest common factor of v and 13? 13 Suppose -5*u + 129 = s, 0*s = -3*s + 2*u + 370. Let h be (s/10)/(2 - (-16)/(-10)). Calculate the greatest common divisor of 1395 and h. 31 Let f = -5785 - -5895. Calculate the highest common factor of f and 572. 22 Let c = 5 - 1. Suppose c*o + 8 = -2*q, 4 + 2 = 3*q - 3*o. Suppose -12 = -3*s + 6*s, q = i - 2*s - 24. What is the greatest common factor of i and 48? 16 Suppose -5*x = 4*y - 177, 3*y - x = -4*x + 135. Let g = y + -46. Let z be 36*(-1 + 1/g*4). Calculate the highest common divisor of 36 and z. 36 Let l be (0 + (-5)/(-7))/((-64)/(-448)). Suppose 2*n = 5*d + 102, -l*n + 57 + 252 = d. Calculate the highest common divisor of 1037 and n. 61 Let w(p) = 36*p**2 - 15*p + 14. Let u be w(1). Suppose 5*a = 37 + 38. Calculate the highest common divisor of u and a. 5 Suppose -t - 8*u + 9*u = -1315, 4*t = 2*u + 5248. What is the highest common divisor of t and 68? 17 Suppose -22*v = 10*v - 1 - 191. Calculate the greatest common factor of 138 and v. 6 Let m be ((-2)/(-1))/((-28)/(-70)). Suppose -m*o = -227 - 343. What is the greatest common factor of o and 190? 38 Suppose -13 = -b - 2*a - 17, 4*b - 5*a - 49 = 0. Calculate the highest common divisor of 14 and b. 2 Let r(u) = -u**3 - 18*u**2 - 261*u - 204. Let x be r(-32). What is the greatest common divisor of x and 308? 308 Let y = -838 - -1222. What is the greatest common divisor of 120 and y? 24 Let r(h) = 3*h**2 + 65*h - 159. Let d be r(-24). What is the greatest common divisor of d and 297? 9 Let p = -191 - -267. Let k be p/(-19) - -1*(1 + 640). What is the highest common factor of 91 and k? 91 Suppose -383*q + 61*q + 31556 = 0. Calculate the highest common divisor of q and 1127. 49 Let j(n) = n**3 + 12*n**2 - 30*n - 21. Let q be j(-14). Let g be 30660/147 - 4/q. What is the greatest common divisor of 13 and g? 13 Let k be -10*(-16)/(-800)*-10. Calculate the greatest common divisor of k and 16. 2 Let h = -168 + 497. Let q = h + -212. What is the greatest common divisor of 18 and q? 9 Suppose -10*f = -1219 - 671. Suppose -4*c = -c - f. Let m be 4/(-14) + 270/c. What is the highest common divisor of m and 8? 4 Let z = -9 - -17. Suppose 5*f = -j + 246, -4*j - 34 = -f - z*j. What is the greatest common factor of 200 and f? 50 Let h be ((-4800)/(-375))/(2 - (-1096)/(-550)). Calculate the highest common factor of 330 and h. 110 Let d = 816 + -827. Let p(h) = h + 134. Let q be p(d). What is the greatest common divisor of 164 and q? 41 Let x = 2044 + -1061. Let r = -648 + x. Calculate the greatest common divisor of 67 and r. 67 Let s(k) = 199*k - 6304. Let r be s(32). What is the greatest common divisor of r and 2976? 32 Suppose 8*f - 1107 = -323. Let u(b) = b**3 + 9*b**2 + 8*b - 4. Let w be u(-6). Suppose -4*c + w = -0*c. Calculate the highest common factor of f and c. 14 Suppose 0 = -2*b - n + 271, 4*b = -73*n + 76*n + 537. Calculate the greatest common factor of b and 855. 45 Let k(f) = -4*f + 150. Let o be k(32). Suppose 0 = -3*h + 3*b + 33, -o*h - 5*b = -19*h - 57. Calculate the highest common divisor of h and 42. 14 Let p = -28045 + 48912. Calculate the greatest common factor of p and 154. 77 Suppose -280 = -5*u - 70. Let h = u - -33. Suppose -y = 3*a - 3*y - 158, 88 = 2*a + 3*y. Calculate the greatest common divisor of a and h. 25 Let c(s) = 14*s**2 - 16*s - 13. Let w(z) = -12*z**2 + 15*z + 12. Let r(f) = -5*c(f) - 6*w(f). Let y be r(9). Calculate the highest common divisor of 13 and y. 13 Let y = 2271 + 262. What is the greatest common factor of y and 298? 149 Let p(u) = 2*u**2 - 30*u + 55. Let f be p(14). Let g = f + 39. Calculate the greatest common factor of g and 6. 6 Let x(v) = -v**3 - 6*v**2 + 47*v - 118. Let a be x(-14). Calculate the highest common divisor of 1089 and a. 99 Suppose -3*j = 9*h - 10*h + 62, 0 = 2*j + 10. Suppose 4915 + 4955 = h*v. Calculate the greatest common divisor of 90 and v. 30 Let h be -6 + (7 - (-4)/(-12)*-753). Calculate the greatest common divisor of 420 and h. 84 Let v(p) = p**3 + 2*p - 9. Let u be v(4). Let a be (-1796)/18 + (-14)/u. Let z = 261 + a. What is the highest common factor of z and 23? 23
In base 4, what is 13120 - 3331212? -3312032 In base 4, what is 1200 - -3120? 10320 In base 9, what is -18 - 44840? -44858 In base 13, what is 3 + 11c2? 11c5 In base 12, what is -2 + -8312? -8314 In base 2, what is 110001111011 - -1110010100? 1000000001111 In base 11, what is 5a61 - -16? 5a77 In base 6, what is 3 - 10032300? -10032253 In base 9, what is -881 - -207? -673 In base 16, what is aa - -2cc5? 2d6f In base 5, what is 3420310 - 4? 3420301 In base 13, what is 1963 - 5? 195b In base 9, what is 5282 + -46? 5235 In base 2, what is -1001100111 + -1001000100000? -1010010000111 In base 13, what is 8b80 - -2a? 8baa In base 16, what is -1 - -131b? 131a In base 8, what is -3677 + 0? -3677 In base 12, what is -4 + -109a? -10a2 In base 6, what is -14 + -134311? -134325 In base 12, what is 647 - -4b1? b38 In base 13, what is -3 + 24a02? 249cc In base 2, what is 1 - 10101000000000? -10100111111111 In base 16, what is 68 - 6285? -621d In base 12, what is 87 - 2573? -24a8 In base 13, what is -1b6430 + 1? -1b642c In base 3, what is 12 - 222010120? -222010101 In base 2, what is 10 + 100110101000010? 100110101000100 In base 2, what is 1001010 + 11010000? 100011010 In base 15, what is 0 + 700b? 700b In base 10, what is 1151 - 1361? -210 In base 3, what is -11102 + -110021? -121200 In base 2, what is 10100 - 110110101001? -110110010101 In base 11, what is -3 - -3556? 3553 In base 12, what is 0 + 1883ab? 1883ab In base 6, what is 215505 - 3? 215502 In base 5, what is -3 + 130131300? 130131242 In base 15, what is 2bcc + 1a? 2be7 In base 15, what is -3 + -6405c? -64060 In base 5, what is -303113 - 3? -303121 In base 5, what is -14 + 2322132? 2322113 In base 5, what is 30203 + -303? 24400 In base 2, what is 100 + 1000111110110? 1000111111010 In base 3, what is -12 - 11101010012? -11101010101 In base 3, what is 202021201 + -1111? 202020020 In base 14, what is -433 - 1da? -62d In base 11, what is 21a + 765? 984 In base 7, what is -15263 - -316? -14644 In base 16, what is 118 - -a9? 1c1 In base 9, what is 316348 - 6? 316342 In base 15, what is -248 - -1b4? -84 In base 4, what is 113213 - 211? 113002 In base 7, what is 3 - -154421? 154424 In base 15, what is -12 + 7ce? 7bc In base 3, what is 2102110 + -1100? 2101010 In base 15, what is 10cd8 + -3? 10cd5 In base 7, what is 5232523 - 3? 5232520 In base 11, what is 7289 - -6? 7294 In base 7, what is -632245 + 0? -632245 In base 11, what is -7 - -3554a? 35543 In base 10, what is 114 - 151? -37 In base 15, what is -705b - -35? -7026 In base 11, what is 10 + 668a? 669a In base 13, what is -942 + -13? -955 In base 13, what is -5 - 203cc? -20404 In base 2, what is -1101111011000 + -1101? -1101111100101 In base 3, what is 11202 + -1111122? -1022220 In base 11, what is -219 - 21? -23a In base 6, what is 125 - 4444? -4315 In base 4, what is 3 - 12102130? -12102121 In base 14, what is -17 + -3426? -343d In base 16, what is -4 - 671c? -6720 In base 3, what is -100 - -11110102102? 11110102002 In base 4, what is 1233003 + 11231? 1310300 In base 13, what is 5 - bcba? -bcb5 In base 4, what is -1232 - 121031? -122323 In base 16, what is -3b - -19c0? 1985 In base 2, what is 100010000110 - 1111110100? 10010010010 In base 5, what is -12004002 - 24? -12004031 In base 9, what is -335856 + -2? -335858 In base 12, what is -228 - -2a? -1ba In base 10, what is -274 + -72? -346 In base 7, what is -1 + -3423023? -3423024 In base 6, what is 11 - 424440? -424425 In base 4, what is -132203102 + -1? -132203103 In base 8, what is 35004 - 3? 35001 In base 12, what is 2 + -92a7? -92a5 In base 12, what is 3 - -52946? 52949 In base 13, what is -19 + 84c0? 84a4 In base 4, what is -2 + -123133002? -123133010 In base 12, what is -459 - -34? -425 In base 8, what is -3 - 2032? -2035 In base 16, what is -1 + 7ec53? 7ec52 In base 10, what is -1 - 7036? -7037 In base 14, what is 3 - 507? -504 In base 6, what is 20315 + -205? 20110 In base 3, what is -101 - -210020121? 210020020 In base 11, what is 1 + -3893? -3892 In base 5, what is -1001 + -2440? -3441 In base 4, what is -100 + -12023? -12123 In base 2, what is 110110011000100 - 1? 110110011000011 In base 16, what is 6 - -ab89? ab8f In base 5, what is 2 + -13342? -13340 In base 13, what is 196a1 - 5? 19699 In base 8, what is -22 - -332645? 332623 In base 7, what is -15116 + -21? -15140 In base 8, what is -15 - 621252? -621267 In base 14, what is 1 - 21131? -21130 In base 12, what is -5a7b + 4? -5a77 In base 5, what is 4 - 2134404? -2134400 In base 15, what is 5 - -840b1? 840b6 In base 11, what is 3 + -34828? -34825 In base 8, what is -17401 + 60? -17321 In base 5, what is -213 + 4443? 4230 In base 10, what is 0 + -17530? -17530 In base 12, what is 5a + 1a28? 1a86 In base 11, what is -a5 - -999? 8a4 In base 3, what is 111 + -1002211010? -1002210122 In base 14, what is -3b + ab4? a77 In base 5, what is -24212 + 44? -24113 In base 13, what is -56571 + 1? -56570 In base 8, what is 1574 + -125? 1447 In base 2, what is 1100000000111011001 - 101? 1100000000111010100 In base 13, what is 226 + c2? 318 In base 6, what is -4 - 1514200? -1514204 In base 9, what is 10 + 32030? 32040 In base 4, what is 11 + -10321? -10310 In base 14, what is -3 + b06a0? b069b In base 3, what is 20022022102222 - 1? 20022022102221 In base 12, what is 3 - 571b9? -571b6 In base 12, what is -2 + -79227? -79229 In base 2, what is 101 + -10111001101011? -10111001100110 In base 7, what is -63 - 1461? -1554 In base 11, what is -22 - 770? -792 In base 7, what is 11023 - -166? 11222 In base 11, what is -4 + 509886? 509882 In base 15, what is -35c - 2? -35e In base 5, what is 203414004 + -2? 203414002 In base 2, what is -100010111001111001 - 10? -100010111001111011 In base 3, what is -2100 - 120210? -200010 In base 16, what is 54f4 - b? 54e9 In base 4, what is 32 - -221123100? 221123132 In base 3, what is -110 - -1211212? 1211102 In base 16, what is -9e3 - -134? -8af In base 3, what is -1 - 10121102? -10121110 In base 5, what is -30 + -41020? -41100 In base 7, what is -1 - -10616? 10615 In base 13, what is -1cab - 7? -1cb5 In base 7, what is -4 - -462553? 462546 In base 10, what is -1 - 10186? -10187 In base 5, what is -11230410 - -2? -11230403 In base 11, what is -71189 + 0? -71189 In base 6, what is -120154 + 451? -115303 In base 3, what is 212 - -100120020? 100121002 In base 12, what is -a90 + -449? -1319 In base 14, what is 80b4 + 15? 80c9 In base 8, what is -7 - 236140? -236147 In base 14, what is c4 + 133? 217 In base 15, what is 26 - 3a2d? -3a07 In base 6, what is -2424 - 33? -2501 In base 9, what is 28767 - -1? 28768 In base 7, what is 2 + 33211? 33213 In base 14, what is -21 - 48? -69 In base 9, what is -18 - -35360? 35341 In base 14, what is -2 + -84952? -84954 In base 12, what is a + -1299? -128b In base 4, what is 113331 - -300? 120231 In base 12, what is a0 - 89b? -7bb In base 15, what is -1d09b6 - -2? -1d09b4 In base 3, what is 12 - -201201100? 201201112 In base 13, what is 6b - -237a? 2418 In base 9, what is 5 - 88125? -88120 In base 14, what is -1184 + -6? -118a In base 3, what is 211222020 + 100? 211222120 In base 5, what is 1424 + -40140? -33211 In base 8, what is -4 - -21426? 21422 In base 4, what is 1111 - -1? 1112 In base 2, what is -1001011 + -11100110001? -11101111100 In base 10, what is 3438 + 203? 3641 In base 12, what is 5b325 + 0? 5b325 In base 11, what is 12a8 - -1? 12a9 In base 11, what is 1 + 370450? 370451 In base 14, what is -8c + -9c5? -a73 In base 5, what is -1030100040 + 10? -1030100030 In base 3, what is 102220 + 2112112? 2222102 In base 10, what is -11 - -82486? 82475 In base 4, what is 111 - -21030311? 21031022 In base 15, what is -2 + 19e73? 19e71 In base 2, what is 110000000101 - 110? 101111111111 In base 16, what is 5 - 3a4c6? -3a4c1 In base 6, what is 3 + 425433? 425440 In base 14, what is -9083 + 26? -905b In base 9, what is 804 + -200? 604 In base 16, what is 84 + f3? 177 In base 5, what is 12444 + -11034? 1410 In base 12, what is -3175b + 0? -3175b In base 4, what is 31110 - -1132? 32302 In base 6, what is 5141 + 320? 5501 In base 14, what is -1 + -553a? -553b In base 16, what is -182 + -9? -18b In base 4, what is -123133202 + -11? -123133213 In base 16, what is d7d3 - -1? d7d4 In base 16, what is 4 - -8159? 815d In base 10, what is 8424 + 89? 8513 In base 12, what is -1a84 + 100? -1984 In base 4, what is 3032 - -310021? 313113 In base 8, what is -255176 - 0? -255176 In base 7, what is -1131241 + -5? -1131246 In base 15, what is -8774 + 0? -8774 In base 9, what is 21370 + -157? 21212 In base 7, what is -10 + 1540411? 1540401 In base 5, what is 42 - -1003303? 1003400 In base 8, what is 11065 - 35? 11030 In base 11, what is 148 - -543? 690
What is the eighth root of 11714 to the nearest integer? 3 What is 13871 to the power of 1/2, to the nearest integer? 118 What is 2211 to the power of 1/6, to the nearest integer? 4 What is the ninth root of 14176 to the nearest integer? 3 What is 9825 to the power of 1/9, to the nearest integer? 3 What is 8114 to the power of 1/2, to the nearest integer? 90 What is 2237 to the power of 1/3, to the nearest integer? 13 What is 107998 to the power of 1/2, to the nearest integer? 329 What is the third root of 46392 to the nearest integer? 36 What is 846 to the power of 1/9, to the nearest integer? 2 What is the fourth root of 12890 to the nearest integer? 11 What is the third root of 16720 to the nearest integer? 26 What is the cube root of 811 to the nearest integer? 9 What is the tenth root of 600 to the nearest integer? 2 What is the cube root of 81171 to the nearest integer? 43 What is 1320 to the power of 1/3, to the nearest integer? 11 What is 1584 to the power of 1/3, to the nearest integer? 12 What is the square root of 47051 to the nearest integer? 217 What is the fifth root of 139167 to the nearest integer? 11 What is the seventh root of 104432 to the nearest integer? 5 What is 16764 to the power of 1/3, to the nearest integer? 26 What is the third root of 5664 to the nearest integer? 18 What is 30140 to the power of 1/4, to the nearest integer? 13 What is the cube root of 11254 to the nearest integer? 22 What is 1176 to the power of 1/3, to the nearest integer? 11 What is 7795 to the power of 1/2, to the nearest integer? 88 What is 3621 to the power of 1/3, to the nearest integer? 15 What is the cube root of 161 to the nearest integer? 5 What is the square root of 86718 to the nearest integer? 294 What is 2116 to the power of 1/3, to the nearest integer? 13 What is the tenth root of 1593 to the nearest integer? 2 What is 576 to the power of 1/10, to the nearest integer? 2 What is the fifth root of 17764 to the nearest integer? 7 What is 20649 to the power of 1/2, to the nearest integer? 144 What is 10203 to the power of 1/3, to the nearest integer? 22 What is 19904 to the power of 1/5, to the nearest integer? 7 What is the third root of 22308 to the nearest integer? 28 What is 148 to the power of 1/3, to the nearest integer? 5 What is 811 to the power of 1/8, to the nearest integer? 2 What is 3746 to the power of 1/3, to the nearest integer? 16 What is 4991 to the power of 1/9, to the nearest integer? 3 What is 91 to the power of 1/9, to the nearest integer? 2 What is the tenth root of 102236 to the nearest integer? 3 What is the third root of 30579 to the nearest integer? 31 What is 6349 to the power of 1/2, to the nearest integer? 80 What is the cube root of 3897 to the nearest integer? 16 What is 5422 to the power of 1/6, to the nearest integer? 4 What is 50861 to the power of 1/5, to the nearest integer? 9 What is 4961 to the power of 1/2, to the nearest integer? 70 What is 1076 to the power of 1/8, to the nearest integer? 2 What is the square root of 41831 to the nearest integer? 205 What is the cube root of 5577 to the nearest integer? 18 What is the sixth root of 1245 to the nearest integer? 3 What is the seventh root of 7482 to the nearest integer? 4 What is the square root of 18673 to the nearest integer? 137 What is 10329 to the power of 1/3, to the nearest integer? 22 What is the square root of 1685 to the nearest integer? 41 What is the third root of 5946 to the nearest integer? 18 What is 35941 to the power of 1/3, to the nearest integer? 33 What is the square root of 12179 to the nearest integer? 110 What is the fourth root of 928 to the nearest integer? 6 What is the fifth root of 16996 to the nearest integer? 7 What is 1036 to the power of 1/2, to the nearest integer? 32 What is 17094 to the power of 1/2, to the nearest integer? 131 What is 8315 to the power of 1/3, to the nearest integer? 20 What is 6117 to the power of 1/9, to the nearest integer? 3 What is 5733 to the power of 1/2, to the nearest integer? 76 What is the cube root of 120967 to the nearest integer? 49 What is the fifth root of 607 to the nearest integer? 4 What is the fifth root of 85 to the nearest integer? 2 What is the third root of 268 to the nearest integer? 6 What is 5119 to the power of 1/7, to the nearest integer? 3 What is the fifth root of 79255 to the nearest integer? 10 What is 750 to the power of 1/9, to the nearest integer? 2 What is the third root of 2051 to the nearest integer? 13 What is 14798 to the power of 1/2, to the nearest integer? 122 What is 4784 to the power of 1/3, to the nearest integer? 17 What is the third root of 1457 to the nearest integer? 11 What is the fourth root of 2288 to the nearest integer? 7 What is the tenth root of 464 to the nearest integer? 2 What is 887 to the power of 1/2, to the nearest integer? 30 What is the third root of 162184 to the nearest integer? 55 What is 98115 to the power of 1/4, to the nearest integer? 18 What is 4022 to the power of 1/9, to the nearest integer? 3 What is 53363 to the power of 1/2, to the nearest integer? 231 What is the cube root of 1748 to the nearest integer? 12 What is 7688 to the power of 1/9, to the nearest integer? 3 What is 569 to the power of 1/8, to the nearest integer? 2 What is the square root of 7989 to the nearest integer? 89 What is the eighth root of 8685 to the nearest integer? 3 What is the square root of 5479 to the nearest integer? 74 What is the fifth root of 8525 to the nearest integer? 6 What is the third root of 1355 to the nearest integer? 11 What is 96 to the power of 1/3, to the nearest integer? 5 What is the square root of 851 to the nearest integer? 29 What is 85111 to the power of 1/2, to the nearest integer? 292 What is 15883 to the power of 1/2, to the nearest integer? 126 What is 12462 to the power of 1/2, to the nearest integer? 112 What is 468 to the power of 1/2, to the nearest integer? 22 What is 77648 to the power of 1/2, to the nearest integer? 279 What is the cube root of 1223 to the nearest integer? 11 What is 7280 to the power of 1/2, to the nearest integer? 85 What is the third root of 12988 to the nearest integer? 24 What is the fifth root of 55904 to the nearest integer? 9 What is 37489 to the power of 1/2, to the nearest integer? 194 What is the square root of 128090 to the nearest integer? 358 What is 14302 to the power of 1/2, to the nearest integer? 120 What is 4867 to the power of 1/3, to the nearest integer? 17 What is the square root of 53954 to the nearest integer? 232 What is the square root of 2204 to the nearest integer? 47 What is the third root of 822 to the nearest integer? 9 What is the third root of 18772 to the nearest integer? 27 What is the tenth root of 17777 to the nearest integer? 3 What is 100 to the power of 1/4, to the nearest integer? 3 What is 451 to the power of 1/3, to the nearest integer? 8 What is 916 to the power of 1/7, to the nearest integer? 3 What is the tenth root of 77553 to the nearest integer? 3 What is the tenth root of 1913 to the nearest integer? 2 What is the cube root of 5651 to the nearest integer? 18 What is the ninth root of 15087 to the nearest integer? 3 What is 29571 to the power of 1/6, to the nearest integer? 6 What is 4126 to the power of 1/2, to the nearest integer? 64 What is the cube root of 1580 to the nearest integer? 12 What is 1918 to the power of 1/9, to the nearest integer? 2 What is the third root of 63532 to the nearest integer? 40 What is the cube root of 7026 to the nearest integer? 19 What is the tenth root of 35183 to the nearest integer? 3 What is 113551 to the power of 1/3, to the nearest integer? 48 What is 3513 to the power of 1/2, to the nearest integer? 59 What is the seventh root of 6635 to the nearest integer? 4 What is 1517 to the power of 1/10, to the nearest integer? 2 What is the square root of 17 to the nearest integer? 4 What is 7059 to the power of 1/3, to the nearest integer? 19 What is 8004 to the power of 1/5, to the nearest integer? 6 What is the third root of 1683 to the nearest integer? 12 What is the third root of 7030 to the nearest integer? 19 What is 1971 to the power of 1/10, to the nearest integer? 2 What is 1871 to the power of 1/2, to the nearest integer? 43 What is 27970 to the power of 1/7, to the nearest integer? 4 What is the square root of 158533 to the nearest integer? 398 What is 2010 to the power of 1/8, to the nearest integer? 3 What is 69923 to the power of 1/2, to the nearest integer? 264 What is the cube root of 19072 to the nearest integer? 27
Is -258563316 <= -258563317? False Is -47686 at most as big as -46430? True Is -19.33268 less than or equal to -1/359? True Which is smaller: 106/660901 or -1? -1 Which is greater: -18618/9313 or -3? -18618/9313 Is -1550158 at least -1550166? True Is -122696006 at most as big as -122696003? True Which is greater: -68.691 or 5? 5 Is 1300907 at most as big as 10407261/8? True Is -58 <= 19696/9? True Which is bigger: -247546 or -247547? -247546 Which is smaller: -3/41931407 or -1? -1 Which is smaller: 225/7369823 or -1? -1 Are 327189/140 and 2338 equal? False Is 3725350 less than or equal to 37253499/10? False Is -1 at least -3/181565276? False Which is smaller: -45297990 or -45298000? -45298000 Is 1/3 greater than -25534582? True Which is smaller: 0 or 321/12971? 0 Which is greater: -2/127 or -199230? -2/127 Which is greater: -85582/709 or -122? -85582/709 Which is smaller: -199.395 or -0.173? -199.395 Is 77455/1354 at least 56? True Which is greater: -1 or 28/10155203? 28/10155203 Is -83326/503 less than -167? False Is 1161136 at most 1161077? False Which is smaller: 746373 or 746351? 746351 Which is bigger: 3197 or 5759? 5759 Does -2929 = 15244? False Is -4298798 greater than or equal to -4298802? True Is -5 bigger than 8.9253? False Which is bigger: 2/15 or 51.029? 51.029 Which is bigger: 234032 or 234024? 234032 Is 49/23819658 < 1? True Do 76924/21 and 2/5 have different values? True Is 1 at least as big as -313/360264? True Is -78789334 less than or equal to -78789338? False Is 1179807 at least 1179812? False Is -73/374 at least as big as 414? False Which is bigger: -307626 or -7? -7 Is 0.358 >= -40.6608? True Which is smaller: 885 or 310750/351? 885 Are -1 and 29/29845 equal? False Is -705 bigger than -1/1064252? False Is 950.6 equal to -19/21? False Which is greater: 111881 or -1? 111881 Is -290 at least as big as 131787? False Which is smaller: 4 or 1139048? 4 Is -534 at least 13140? False Which is smaller: 11064971 or 11064970? 11064970 Is 2.2 smaller than -157841.2? False Which is smaller: -3 or -33004/15275? -3 Is 0.09 less than 52826/29? True Is -308561 equal to -0.1174? False Which is greater: 13339962 or 13339960? 13339962 Is -1617.81771 bigger than 2/3? False Which is smaller: -2846362 or -2846409? -2846409 Is 21115/4 at least 19.5? True Which is smaller: 2721989 or 2721722? 2721722 Is -1 greater than -11/2911300? False Is 0 greater than or equal to -2/51008659? True Which is smaller: -23.09 or -0.0591? -23.09 Which is smaller: 76524 or 76577? 76524 Are -670444 and -11397560/17 nonequal? True Which is greater: 967/29070 or 0? 967/29070 Are -48024 and -38236 equal? False Which is smaller: -426484 or -426479? -426484 Which is smaller: -38/20968407 or -1? -1 Is -1 at least 3000/41891? False Is 1252837 less than 11275540/9? True Which is greater: -1057167 or 0.3? 0.3 Which is greater: -82 or -39526/479? -82 Is 1 equal to 259/1331074? False Are -10319788 and -10319789 nonequal? True Is -10334 at least 4293? False Which is smaller: -0.2 or 50661790? -0.2 Which is smaller: 19931998 or 19931997? 19931997 Which is greater: 2050/31483 or 0? 2050/31483 Which is smaller: 33612 or 806689/24? 33612 Which is smaller: -402 or -95755/238? -95755/238 Which is greater: 0 or 1/23011880? 1/23011880 Which is greater: 1487 or 2307? 2307 Which is smaller: -1.049 or 37522? -1.049 Is -1660 not equal to 3/8732? True Is 1 bigger than -448/10189381? True Does 8492 = 8615? False Which is bigger: 569503 or 569508? 569508 Which is greater: -100932/409 or -247? -100932/409 Is -934 bigger than -1719? True Which is smaller: 24.715707 or 1? 1 Which is greater: -35361 or -35267? -35267 Which is smaller: 1844 or 138686? 1844 Is 10651 > 10600? True Which is bigger: 2699778/61 or -2? 2699778/61 Which is greater: 1 or -2/29937363? 1 Is -0.64217 not equal to 0.41? True Is 28081 less than or equal to -1/226? False Is -25045 bigger than -576042/23? True Is 119670326 <= 119670321? False Which is smaller: -2/7 or 4649377? -2/7 Which is greater: -0.033 or -849/191? -0.033 Is 44/246853 not equal to -1? True Which is smaller: 29 or 39576/1351? 29 Is -1828 less than or equal to -75804? False Do 1/8 and 217269 have the same value? False Which is smaller: -1606917 or -16069161/10? -1606917 Is -207 < 711022? True Is -30950 greater than -30861? False Is 6141 smaller than -28/23? False Are 3/8409367 and 1 equal? False Which is bigger: -588214/89 or -6609? -6609 Which is smaller: 1 or -7/30181176? -7/30181176 Is 73239 smaller than -58? False Are -23917 and 0.1531 unequal? True Which is smaller: -222 or -288385? -288385 Is 1086947 at least 1.198? True Which is greater: -5 or -1290854.1? -5 Which is bigger: 11461/93228 or 0? 11461/93228 Which is bigger: -5 or -1290340/3? -5 Is 1883827040 less than or equal to -1/2? False Is -11021979 at least -11021981? True Which is greater: -1 or -2565/9112? -2565/9112 Are 156864/151 and 1038 non-equal? True Which is smaller: -88868 or -89264? -89264 Are -3086 and 7179 unequal? True Do 0.0494 and 618340 have the same value? False Do -10761/15541 and -2 have the same value? False Is -34656 bigger than -20/27? False Is -289 at most -111285? False Is 111828/5599 at most 19? False Is 783218929 <= 783218932? True Which is smaller: 45344 or 2539199/56? 2539199/56 Which is bigger: 44067 or -630? 44067 Are 46.7957 and 1/4 non-equal? True Is 2707577 not equal to 2707580? True Which is smaller: -0.2532 or -2966? -2966 Which is greater: 0.187 or -158/133? 0.187 Which is greater: 0.4 or -54/2611? 0.4 Which is smaller: -7/18713738 or -1? -1 Which is bigger: -1 or 45/640589? 45/640589 Do 30826430 and 30826430 have the same value? True Is -31521274 less than -31521274? False Does 100637233/5 = 20127446? False Which is smaller: 0 or 783/6587? 0 Which is smaller: -37214 or -37404? -37404 Which is smaller: -210/11722373 or 0? -210/11722373 Is -106/151 at most as big as 11/489? True Is 65465728 > 65465728? False Is 37350/1211 at most as big as 32? True Is 500367397 equal to 500367397? True Which is smaller: -48293 or -48347? -48347 Is -1 less than -2/280226355? True Which is smaller: 0 or 674/92139? 0 Is 12/5 smaller than -3/1387228? False Is -299452 less than or equal to -299559? False Is -1572713/22 != -71487? True Which is bigger: 1925360 or 1925359? 1925360 Which is bigger: -2987060 or -2987097? -2987060 Is 33907928 greater than or equal to 33907943? False Which is smaller: 42/11 or 3/209456? 3/209456 Which is smaller: 13338032 or 13338033? 13338032 Which is smaller: 6378143 or 122? 122 Which is greater: 122 or 823493? 823493 Which is smaller: -308970 or -61? -308970 Is 0.7 < -0.06598017? False Is 62784 >= 64253? False Which is smaller: -114240820 or -114240823? -114240823 Which is greater: 1 or 117/239974? 1 Which is greater: 2931 or 723978/247? 723978/247 Are 0.1 and 0.166883 non-equal? True Which is smaller: -5589960 or -5589956? -5589960 Is -31/292231 greater than or equal to 0? False Do -9500065 and -9500065 have the same value? True Which is smaller: -1 or 2/251011517? -1 Do 4360/4413 and 1 have different values? True Which is greater: -3659/21818 or -1? -3659/21818 Is 3067 greater than 2850? True Is -6689/27262 > 0? False Does 1 = -14/13713829? False Which is smaller: -10531 or -12421? -12421 Are -33373778 and -133495113/4 equal? False Which is smaller: -1488260 or -101? -1488260 Which is smaller: -339 or -29231/86? -29231/86 Which is smaller: 22351340/3 or 7450446? 7450446 Is -2409079 at least 1/3? False Which is greater: -185 or 0.0534883? 0.0534883 Is -1643885 greater than or equal to -8219426/5? True Which is smaller: -1 or 2/104921305? -1 Is -291145 greater than -1677? False Which is bigger: 968108 or 10649204/11? 10649204/11 Is 11284828/13 < 868064? True Which is bigger: 444.642 or -8? 444.642 Is -916105 bigger than 3/10? False Does 2148 = 298760/139? False Which is smaller: -16 or -25177/1708? -16 Do -1546.35 and 18 have different values? True Is 489822/419 greater than 1168? True Is 574896619 < 574896619? False Is 37/2 bigger than -1927572? True Which is smaller: 13255743 or -0.2? -0.2 Is -299357183 less than -0.3? True Is 216152 > 216153? False Which is bigger: 927419/431 or 2153? 2153 Which is greater: 26031 or 10? 26031 Are -12/21068345 and 0 non-equal? True Do 5.15 and 3522 have the same value? False Which is smaller: -54406/57 or -955? -955 Is 72.196 greater than or equal to 21/11? True Is -812419 < -23560176/29? False Which is bigger: -955247 or -955221? -955221 Is -42353/31 at least as big as -1367? True Is -2 at least -107841.7? True Is 3898739 <= 2? False Which is greater: 110.41085 or -2/3? 110.41085 Is -1298 greater than or equal to -136112? True Is -9 at least as big as -6153081? True
Let n = 11 - 8. Let v = 1 - n. Let b(t) be the second derivative of t**5/10 + t**4/4 + t**3/3 - t**2/2 + 10*t. Give b(v). -9 Let u(d) = d**3 - 7*d**2 + 9*d - 8. Let l be u(6). Suppose -n - 12 = 2*r - 5*r, -n + 2*r = l. Let o(w) = w**3 + 7*w**2 + 4*w - 2. Calculate o(n). 10 Let d(y) be the second derivative of -y**5/20 - 13*y**4/12 - 7*y**3/3 - 13*y**2/2 - 6*y + 51. Calculate d(-12). 11 Let p(y) be the third derivative of -y**4/8 + 7*y**2. Let s(q) = -q**2 + 3*q + 2. Let o be s(3). Calculate p(o). -6 Let x(c) = -4*c**2 - c + 1. Let k(w) = 17*w**2 + 15*w - 1. Let u(b) = -k(b) - 4*x(b). What is u(-11)? -3 Let g(c) = c**2 - 28*c + 60. Let u be g(28). Suppose 0*j + u = 12*j. Let v(l) = l**2 - 4*l + 2. Calculate v(j). 7 Let l be -1*(-1 - (-1 + 1)). Let n(o) = 56*o**3 - o**2 - 4*o - 8. Let x(f) = 68*f**3 - f**2 - 5*f - 10. Let k(i) = 5*n(i) - 4*x(i). What is k(l)? 7 Let i be (6/(-2))/(-6)*6. Let y(z) = z**2 - 4*z - 4. Let g be y(i). Let f(w) = w**2 + 6*w - 3. Give f(g). 4 Let c(b) be the third derivative of 23*b**4/24 - 29*b**3/6 - 21*b**2. Let d(z) = -4*z + 5. Let w(n) = -6*c(n) - 34*d(n). Let t = -2 - -8. Give w(t). -8 Let z be (-29)/(-9) + (-4)/18. Suppose z = 7*t - 32. Suppose t*m - 5*b + 5 = 0, 0 = 2*m + b - 5 - 2. Let f(o) = -4*o**2 - 3*o + 3. Give f(m). -19 Let v(w) = -23*w - 2. Suppose -4*q = 5*m + 1, 4*m - 5*q + 10 = -m. Give v(m). 21 Suppose 8 = 5*a - a. Let b(x) = 4*x - 1. Let v(w) = 25*w - 4. Let k(c) = 6*b(c) - v(c). Calculate k(a). -4 Let c(o) = 2*o - 2. Let q(u) = -1. Let n(t) = 2. Let g(p) = -2*n(p) - 3*q(p). Let s(l) = -c(l) + 3*g(l). Let v = 3 + -1. Determine s(v). -5 Let c(h) = -6*h + 13. Let m(z) = 3*z + 42. Let a be m(-11). Give c(a). -41 Let x(g) = g**3 + 0*g - 6*g**2 - 15 + 0*g**2 - 3*g - 5*g**3 + 3*g**3. Give x(-6). 3 Let l(n) = -n**3 - 3*n**2 + 2*n + 4. Let c be l(-3). Let o(s) = s + 0*s - 320 + 639 - 321. Give o(c). -4 Let b(x) = -20*x + 65. Let o be b(3). Let q(v) = -2*v**2 + 5*v + 2. Give q(o). -23 Let v(m) be the second derivative of -m**4/6 + 2*m**3/3 + 3*m**2 + 20*m. Let y(i) = -i - 1. Let n(r) = v(r) + 4*y(r). Determine n(2). -6 Let i(w) be the third derivative of 0*w + 0 + 0*w**4 + 1/60*w**5 + 18*w**2 + 5/3*w**3. Calculate i(0). 10 Let p(a) = 20*a**3 - 5*a**2 + 12*a - 72. Let j(u) = 9*u**3 - u**2 + 6*u - 36. Let g(l) = 9*j(l) - 4*p(l). What is g(-10)? 4 Let m(d) = d**2 + 6*d + 3. Let i(g) = g**3 + 9*g**2 + g + 3. Let w = -9 - 0. Let j be i(w). Give m(j). 3 Let c = 119 + -114. Let j(u) = -u**2 + 6*u - u**2 - 7 - c*u**2 + 6*u**2. What is j(7)? -14 Suppose 2*c + 59*k - 58*k + 6 = 0, 5*c = 2*k - 15. Let b(w) = -w**3 + 2*w - 2. What is b(c)? 19 Let a(u) = 17*u**2 - 1. Suppose 15*l + 25 = 20*l - 5*h, -5*l - 2*h = 3. Calculate a(l). 16 Let s(l) = -l + 11. Suppose 6 = y + 3*z + 2*z, -2*y - 2*z = 20. Let i be (y/1)/(1/(-1)). Let j be s(i). Let h(c) = -c**3 - 3*c**2 + 1. What is h(j)? 1 Let l be ((-72)/(-10))/(2 + 192/(-100)). Let f(p) = -3 + 6 + 89*p - l*p. Calculate f(-4). 7 Suppose 2 - 8 = -3*p. Let f be -1 + 4/p + (4 - 10). Let k(b) = -b - 5. Give k(f). 0 Let q = 252 + -246. Let l(x) = -x**3 + 7*x**2 - 6*x + 9. Calculate l(q). 9 Let o(g) = -2*g**3 - 6*g**2 + 2*g - 1. Let y(m) = m**3 + m**2 + m + 2. Let h(t) = o(t) + y(t). Let w(k) = -3*k**2 + 4*k - 2. Let x be w(2). Calculate h(x). 19 Let t(x) = -4 - 5*x + 354*x**2 - 2*x - 353*x**2. Suppose -h = -5*b + 9, 0 = 5*h + 2*b - 41 - 49. Let w be (-2)/(-8) - (-92)/h. Calculate t(w). -10 Let m(x) = -x**2 + 3*x - 2. Let u(p) = p - 11. Let f be u(12). Suppose 2*z - 4*q = 8, q + 1 = -f. Suppose -2*o + 8 = -5*a - 5, z = 4*o + 4*a - 12. Give m(o). -6 Suppose -3*u + 7*u = 16. Suppose 3*j - 8 = -3*m + 10, j = -u*m + 21. Let f(l) = -l**2 + 4*l - 2. Calculate f(m). -7 Let h = 24 + -18. Let z(r) = -r**3 + 7*r**2 - 4*r - 5. Determine z(h). 7 Let b(x) = 4*x - 34 - 5*x - 25 - 36 + 124. Give b(10). 19 Let h(y) = y**3 + y**2 - y + 1. Suppose 3*r - 4 = 11. Let i(a) = 6*a**3 - 6*a**2 - 7*a + 20. Let l(v) = r*h(v) - i(v). Determine l(11). 7 Let y(g) = g**3 + 9*g**2 - 1. Let w = -26 - -28. Suppose 32 = -4*k + 4*x, -w*k - 22 = k - 5*x. Give y(k). -1 Let i(q) = q**2 - q - 1. Let t be (-18)/(-8) + 3/(-12). Let o be (-1)/4*t*-6. Determine i(o). 5 Suppose 2*c - 12 - 8 = -2*g, 3*c + 2*g - 26 = 0. Let u be (-3)/(c/(-64)) + -3. Suppose -1 - u = 5*m. Let t(p) = -2*p - 5. Give t(m). 7 Let h(f) be the third derivative of -f**5/60 - f**4/12 + f**3/6 - 10*f**2. Let p be ((-16)/(-10))/((-4)/(-10)). Suppose z = 2*z + p. Calculate h(z). -7 Let q = 485 - 501. Let r(d) = -d**3 - 16*d**2 + 6. Calculate r(q). 6 Let d(z) be the first derivative of -z**2/2 - 7*z - 85. What is d(-9)? 2 Let f be (60 - 52) + (-7 - -1). Let d(c) = -8*c + 6. What is d(f)? -10 Suppose 12 = -2*a + 8*a. Let f(h) be the first derivative of -7*h**2/2 - h + 11. Determine f(a). -15 Let d be (2/7*2)/((-46)/(-805)). Let l(f) = -3*f - 2. Determine l(d). -32 Let v = -22 - -19. Let q(d) = 2*d**3 - 2*d**2 - 3*d + 1. Let u(t) = -1 - 2*t**2 - 2*t + t**3 + 2 + 0. Let j(b) = -2*q(b) + 3*u(b). What is j(v)? 10 Suppose -57*y + 11 = -56*y. Let l(d) = -d**3 + 10*d**2 + 8*d + 7. Give l(y). -26 Let t(v) = -3*v**2 + 0*v**3 + 7*v**2 - 3 + v**3 - 5*v**2 - 2*v. Let i be -18*(3 + 10/(-3)). Suppose 0 = 8*b - 6*b - i. Determine t(b). 9 Let x(u) = -u**3 - 5*u**2 + 7*u + 1. Let m(r) = 2*r**2 - 5*r - 2. Let h be m(3). Let i be -10 + (h + -4 - -7). Give x(i). -5 Let x(q) = 20*q - 5. Let b(n) = 10*n - 3. Let k(r) = 7*b(r) - 4*x(r). Suppose 5*h + 5*t - 78 = -23, -4*t + 35 = 3*h. Suppose 2*u + h = 7. Determine k(u). 9 Let w(t) = t - 1. Suppose 224 = 132*q - 100*q. Calculate w(q). 6 Let b(u) be the second derivative of -1/20*u**5 + 0 + 1/2*u**2 - u + 1/6*u**3 - 1/12*u**4. Calculate b(0). 1 Let b(p) = -3*p**3 + 30*p**2 - 24*p - 37. Let i(u) = u**3 - 10*u**2 + 8*u + 12. Let o(v) = -4*b(v) - 11*i(v). Determine o(9). 7 Let q(z) = -43*z**2 + 10*z - 9. Let b(g) = -11*g**2 + 2*g - 1. Let c(p) = -4*b(p) + q(p). Calculate c(3). 10 Let c(y) = -y**3 - 14*y**2 + 9*y + 14. Let s(t) = -4*t**3 - 42*t**2 + 27*t + 42. Let k(w) = -7*c(w) + 2*s(w). Calculate k(13). 38 Let g(v) = v**3 + 7*v**2 + v + 1. Let s(c) = -c**3 - 7*c**2 - 2*c - 2. Let m be ((-3)/6)/(19/10 - 2). Let u(y) = m*g(y) + 6*s(y). Calculate u(-6). -1 Let a(i) = i**3 + 3*i**2 - 7*i - 6. Let m(j) = 88*j + 26. Let t be m(-2). Let z = -154 - t. Determine a(z). 6 Suppose 4 = -2*o + a, -5*o - 5*a - 12 = -7*a. Let k(d) = d**2 + 6*d + 5. Calculate k(o). -3 Let c(g) = -g**3 + 45*g**2 + 46*g - 1. Let x be c(46). Let b(l) = -18*l**3 - l**2. Calculate b(x). 17 Let n(c) = -3*c + 3. Let k be 2/(-6) - (-70)/(-6). Let t(s) = -s**2 - 12*s + 6. Let z be t(k). Give n(z). -15 Let t = 1 + -1. Suppose t = i + 4*i - 20. Let w(f) = f - 1. Calculate w(i). 3 Let a(l) = -5*l**2 + 6*l + 1. Let x(n) = 4*n**2 - 5*n - 2. Suppose 8*h = 1 + 23. Suppose j - 2*j = -h. Let z(m) = j*a(m) + 4*x(m). Give z(-4). 19 Let s(a) = a**2 - 8*a - 12. Let u = -4 + 36. Let i = -23 + u. Determine s(i). -3 Suppose 0 = 4*v + 16, 0 = w - v - 4 - 5. Suppose z = o, -w*z + 14 = 2*o - 0. Suppose -2*h + 2*k = z + 4, 5*h - 3*k + 9 = 0. Let a(d) = -d - 18. Give a(h). -18 Let g(q) = 10*q**2 - 6*q + 7. Let u(t) = -t**2 + t - 1. Let r(j) = g(j) + 6*u(j). Calculate r(-1). 5 Let s(q) = -q**3 + 3*q**2 - 5*q - 8. Let h(z) = -z**3 + 3*z**2 - 4*z - 7. Let l = 22 + -28. Let m(w) = l*s(w) + 7*h(w). Determine m(4). -9 Let g(k) = -2 + 0*k + 7*k - k**2 - 4*k + 0*k. Let j = -894 + 896. Calculate g(j). 0 Let m(f) = 24 + 13*f - 9*f - 25. Suppose 0 = -20*g + 11 + 9. Determine m(g). 3 Suppose 2*j = 4*j - 4, 3*d + 2*j - 187 = 0. Let p = d - 55. Let c(h) = h**2 - 7*h + 1. Determine c(p). -5 Let k(v) = -3*v**2 - v**3 - 4 + 8*v**2 + 5*v**2 - 4 + 0*v**2 + 12*v. What is k(11)? 3 Let z(j) = j**2 + 10*j + 11. Let r be 4/(7 + (-60)/8). What is z(r)? -5 Let z(h) = -h**3 - 3*h**2 + h + 2. Let a be z(-3). Let f(o) = o**2 + o. Let u(j) = 35*j**2 + 30*j. Let l(p) = -30*f(p) + u(p). What is l(a)? 5 Let s = 91 + -69. Suppose -s*m = -24*m - 4. Let v(d) = -7*d + 1. Calculate v(m). 15 Suppose 0 = -c - 0*c - 3. Let z(y) = 4. Let q(b) = -b - 4. Let r(t) = c*q(t) - 4*z(t). Calculate r(3). 5 Suppose -4*v = -25*v + 84. Let o(z) = -z**2 + 7*z - 5. Determine o(v). 7 Let g(l) = 4*l - l - 1 + 0*l. Determine g(-1). -4 Let y be (56/20 - 2)/((-4)/(-90)). Let f(i) = -6 + y - 11*i**2 - 11. Give f(1). -10 Let x be 10 - ((1 - 13) + 24). Let y(d) = -4*d**3 + 2*d - 1. Calculate y(x). 27 Let s = -870 + 864. Let n(c) = c**3 + 6*c**2 + c - 8. Calculate n(s). -14
Four letters picked without replacement from {c: 3, o: 1, w: 11}. Give prob of picking 2 c, 1 w, and 1 o. 11/455 Two letters picked without replacement from {t: 2, h: 2, w: 5}. Give prob of picking 2 w. 5/18 Calculate prob of picking 1 o, 1 f, and 1 i when three letters picked without replacement from efieeopiieffefiif. 5/136 Three letters picked without replacement from {x: 5, a: 3, j: 5}. What is prob of picking 3 a? 1/286 Calculate prob of picking 1 j and 2 l when three letters picked without replacement from {o: 6, l: 6, j: 3}. 9/91 Four letters picked without replacement from {h: 10}. What is prob of picking 4 h? 1 Three letters picked without replacement from {g: 3, y: 5}. Give prob of picking 2 g and 1 y. 15/56 Three letters picked without replacement from rirrijiijriiiir. Give prob of picking 2 r and 1 i. 16/91 What is prob of picking 2 l, 1 i, and 1 f when four letters picked without replacement from {p: 1, i: 1, d: 1, g: 2, l: 2, f: 1}? 1/70 Two letters picked without replacement from {j: 6, e: 8, l: 3}. Give prob of picking 2 e. 7/34 Calculate prob of picking 1 z and 3 n when four letters picked without replacement from {w: 1, n: 3, z: 1}. 1/5 Two letters picked without replacement from ssujslesesssuu. What is prob of picking 1 l and 1 u? 3/91 Four letters picked without replacement from oborkob. Give prob of picking 3 r and 1 b. 0 Calculate prob of picking 1 t and 1 a when two letters picked without replacement from {n: 1, q: 1, t: 2, a: 1}. 1/5 What is prob of picking 2 c and 1 e when three letters picked without replacement from aacecaaeejeaceeeaez? 8/323 What is prob of picking 1 u and 1 l when two letters picked without replacement from {w: 1, r: 1, u: 2, f: 7, l: 3, m: 3}? 3/68 Two letters picked without replacement from {u: 1, r: 4, b: 9}. Give prob of picking 1 b and 1 u. 9/91 Calculate prob of picking 4 f when four letters picked without replacement from {f: 14, s: 4}. 1001/3060 Calculate prob of picking 2 l when two letters picked without replacement from qqqlqqlqqq. 1/45 What is prob of picking 1 k and 1 w when two letters picked without replacement from axkwl? 1/10 Calculate prob of picking 1 a, 1 n, and 1 w when three letters picked without replacement from {a: 1, k: 7, w: 3, n: 1, d: 4}. 3/560 What is prob of picking 1 n, 1 s, and 1 e when three letters picked without replacement from {i: 1, t: 1, e: 4, c: 3, s: 1, n: 2}? 2/55 Calculate prob of picking 4 n when four letters picked without replacement from nnnznnnnnznnznnn. 11/28 Calculate prob of picking 2 x when two letters picked without replacement from {x: 6, m: 7}. 5/26 What is prob of picking 2 u when two letters picked without replacement from ubu? 1/3 Three letters picked without replacement from jzrjjjzzkrzrjrzzrr. What is prob of picking 1 k and 2 j? 5/408 What is prob of picking 1 q and 2 s when three letters picked without replacement from {n: 7, s: 4, z: 1, q: 2}? 3/91 Four letters picked without replacement from fnzfftfznttnfnnw. What is prob of picking 1 t, 2 f, and 1 z? 3/91 Two letters picked without replacement from {r: 2, i: 1, y: 3, z: 1, j: 5, s: 3}. Give prob of picking 1 j and 1 i. 1/21 Four letters picked without replacement from cccggcggccccccgc. Give prob of picking 3 c and 1 g. 165/364 Three letters picked without replacement from {m: 16, n: 2}. What is prob of picking 2 n and 1 m? 1/51 Four letters picked without replacement from {g: 7, z: 7, i: 4}. Give prob of picking 2 z and 2 g. 49/340 What is prob of picking 2 i when two letters picked without replacement from vvxiiviifxii? 5/22 Three letters picked without replacement from {k: 4, c: 3, y: 2, w: 1, l: 6}. Give prob of picking 1 c, 1 l, and 1 y. 9/140 Four letters picked without replacement from ykkkhhuhyykkuyhjjnk. Give prob of picking 2 j and 2 y. 1/646 What is prob of picking 2 v when two letters picked without replacement from jjvjjjvvjvj? 6/55 Two letters picked without replacement from {i: 2, o: 3, p: 13}. Give prob of picking 2 p. 26/51 What is prob of picking 2 s and 1 d when three letters picked without replacement from sdddds? 1/5 Calculate prob of picking 1 g and 3 b when four letters picked without replacement from uubbubcubbgo. 2/99 Calculate prob of picking 1 a and 1 v when two letters picked without replacement from {n: 1, s: 1, f: 1, v: 1, z: 2, a: 1}. 1/21 Four letters picked without replacement from {p: 9, g: 11}. Give prob of picking 4 p. 42/1615 Calculate prob of picking 1 j and 2 q when three letters picked without replacement from {o: 2, q: 4, j: 2}. 3/14 What is prob of picking 1 l and 1 a when two letters picked without replacement from {o: 4, a: 3, l: 5}? 5/22 Four letters picked without replacement from {l: 16, q: 2}. What is prob of picking 1 q and 3 l? 56/153 Calculate prob of picking 2 u when two letters picked without replacement from fuufofuffu. 2/15 Two letters picked without replacement from {a: 5, h: 2, s: 1, d: 1}. Give prob of picking 2 a. 5/18 What is prob of picking 4 y when four letters picked without replacement from yhyheeeeeyey? 1/495 What is prob of picking 1 g and 1 z when two letters picked without replacement from {g: 1, z: 1, h: 1}? 1/3 Calculate prob of picking 1 k and 1 c when two letters picked without replacement from {k: 1, f: 1, n: 1, i: 5, c: 9}. 9/136 Calculate prob of picking 2 r when two letters picked without replacement from {r: 3, z: 9}. 1/22 What is prob of picking 1 a and 1 y when two letters picked without replacement from alliayaaiiillilalia? 2/57 Three letters picked without replacement from {l: 2, e: 6, o: 11}. What is prob of picking 2 e and 1 l? 10/323 Four letters picked without replacement from {l: 5, p: 2}. Give prob of picking 3 l and 1 p. 4/7 What is prob of picking 1 i and 1 l when two letters picked without replacement from {j: 4, b: 1, i: 3, l: 4, f: 1}? 2/13 What is prob of picking 1 e, 1 j, and 1 h when three letters picked without replacement from {e: 2, a: 3, f: 3, h: 1, l: 1, j: 8}? 1/51 Three letters picked without replacement from {q: 7, b: 6}. What is prob of picking 3 b? 10/143 Three letters picked without replacement from glvlvvvivvvigigvvvv. Give prob of picking 2 l and 1 g. 1/323 Four letters picked without replacement from {g: 1, z: 1, s: 2, l: 2, e: 1, p: 1}. What is prob of picking 1 z, 1 g, 1 p, and 1 l? 1/35 What is prob of picking 1 s and 2 h when three letters picked without replacement from {l: 1, h: 2, t: 2, s: 1, c: 1}? 1/35 What is prob of picking 3 t and 1 j when four letters picked without replacement from {i: 2, j: 3, p: 5, t: 5}? 2/91 Three letters picked without replacement from bbbbbmmbbbm. Give prob of picking 3 m. 1/165 Two letters picked without replacement from eiuuuiiueeua. Give prob of picking 2 i. 1/22 Four letters picked without replacement from mjvcewceejcjm. Give prob of picking 1 e, 2 c, and 1 m. 18/715 Four letters picked without replacement from pkkpppppkppkkp. Give prob of picking 1 p and 3 k. 90/1001 Three letters picked without replacement from {d: 3, f: 3, u: 3, t: 4}. What is prob of picking 3 t? 2/143 What is prob of picking 1 a and 1 e when two letters picked without replacement from {e: 1, s: 1, p: 3, k: 3, a: 1, b: 2}? 1/55 What is prob of picking 2 m and 1 r when three letters picked without replacement from rrmvxrxvxxrmxvvvxmv? 4/323 Three letters picked without replacement from poppoo. What is prob of picking 3 o? 1/20 What is prob of picking 3 v and 1 w when four letters picked without replacement from {m: 5, v: 3, w: 5}? 1/143 What is prob of picking 1 s and 2 k when three letters picked without replacement from {s: 1, w: 1, g: 1, k: 2}? 1/10 What is prob of picking 2 f when two letters picked without replacement from fgffffffgfgfgfffff? 91/153 Calculate prob of picking 1 v, 1 s, and 1 u when three letters picked without replacement from vssssruussrsvrss. 9/140 Two letters picked without replacement from xxxxxxx. Give prob of picking 2 x. 1 Four letters picked without replacement from vxxvxaaxvxvxyvvaax. Give prob of picking 1 a and 3 x. 7/153 Two letters picked without replacement from {b: 2, d: 1, t: 2, k: 2, j: 1}. Give prob of picking 1 j and 1 d. 1/28 Three letters picked without replacement from pytuppktypzpptypk. Give prob of picking 1 p, 1 t, and 1 z. 21/680 Two letters picked without replacement from mhmhmmmmmmmmmmhmmhmm. Give prob of picking 2 m. 12/19 Four letters picked without replacement from xoooxzgzxzzzzrr. Give prob of picking 1 o, 1 z, and 2 x. 18/455
Round 5.48772 to 2 dps. 5.49 What is 0.00159141794 rounded to five decimal places? 0.00159 What is 17490400 rounded to the nearest ten thousand? 17490000 Round 135003.86 to the nearest 1000. 135000 Round -0.23102447 to five decimal places. -0.23102 What is -1.062184 rounded to 2 dps? -1.06 Round 1507026.2 to the nearest 10000. 1510000 Round 42.9048 to the nearest integer. 43 What is 0.0001877443 rounded to 4 dps? 0.0002 What is 0.003596466 rounded to 4 dps? 0.0036 What is -571605.9 rounded to the nearest one hundred thousand? -600000 Round -0.0015425068 to 6 dps. -0.001543 Round 0.0000730576 to six decimal places. 0.000073 What is -83116000 rounded to the nearest one million? -83000000 What is 0.1445946 rounded to 2 decimal places? 0.14 Round -27403.171 to the nearest one thousand. -27000 What is 4.3616232 rounded to 1 dp? 4.4 Round -0.00000155144 to seven decimal places. -0.0000016 What is 1393.469 rounded to the nearest ten? 1390 Round -1636097.4 to the nearest 10000. -1640000 Round 0.6410846 to 3 dps. 0.641 What is -1.50852 rounded to two dps? -1.51 What is -99.7666 rounded to the nearest 10? -100 Round 234600100 to the nearest one million. 235000000 What is -0.037810827 rounded to three decimal places? -0.038 What is -55040 rounded to the nearest 100000? -100000 What is -487000.2 rounded to the nearest one thousand? -487000 What is 0.10250199 rounded to two decimal places? 0.1 Round 0.0036905337 to three dps. 0.004 What is -0.001299104 rounded to 4 decimal places? -0.0013 Round 13671.63 to the nearest one hundred. 13700 What is 3154.5163 rounded to the nearest one thousand? 3000 What is 0.000433893 rounded to six dps? 0.000434 Round -13508531 to the nearest one million. -14000000 What is 12740.695 rounded to the nearest 1000? 13000 Round -1550910 to the nearest 10000. -1550000 What is -71137600 rounded to the nearest 1000000? -71000000 What is 253039.8 rounded to the nearest 1000? 253000 What is 240.873 rounded to the nearest integer? 241 What is 12186 rounded to the nearest one hundred thousand? 0 Round -0.0429898 to four dps. -0.043 What is 0.7053423 rounded to 1 dp? 0.7 What is -277.95 rounded to the nearest 10? -280 Round -0.00007796474 to five decimal places. -0.00008 Round 10.355941 to the nearest integer. 10 What is -1321.81 rounded to the nearest one thousand? -1000 What is 503815000 rounded to the nearest one million? 504000000 What is -2954.973 rounded to the nearest 10? -2950 Round 9818.972 to the nearest ten. 9820 Round 35798050 to the nearest one million. 36000000 What is -47570630 rounded to the nearest one hundred thousand? -47600000 Round -0.00000262379 to six dps. -0.000003 Round 4175059 to the nearest one hundred thousand. 4200000 Round 1.141457 to two decimal places. 1.14 Round 16849.6 to the nearest ten. 16850 What is -19133770 rounded to the nearest one million? -19000000 Round 0.001693708 to 5 decimal places. 0.00169 Round -0.0013972928 to 4 dps. -0.0014 Round -0.0961145 to 2 dps. -0.1 What is -82774300 rounded to the nearest one hundred thousand? -82800000 Round -0.1537749 to two decimal places. -0.15 What is 106.0842 rounded to one dp? 106.1 Round -42.6629 to the nearest 10. -40 What is -0.00399376 rounded to five dps? -0.00399 Round -0.023898921 to two decimal places. -0.02 Round 231320.4 to the nearest one hundred. 231300 What is 20855 rounded to the nearest one thousand? 21000 Round 6.1858 to the nearest 100. 0 Round 16713.178 to the nearest 1000. 17000 What is 0.0030937616 rounded to four decimal places? 0.0031 Round 1076017 to the nearest ten thousand. 1080000 Round -536.995 to zero decimal places. -537 Round -14536600 to the nearest one million. -15000000 What is 4.831618 rounded to three decimal places? 4.832 What is -0.00152046 rounded to 4 dps? -0.0015 Round 190.4057 to the nearest one thousand. 0 Round -35.8791 to one decimal place. -35.9 What is 0.0003826874 rounded to four decimal places? 0.0004 What is 18052.4 rounded to the nearest 10? 18050 Round 0.00011378453 to 7 decimal places. 0.0001138 What is 134078.14 rounded to the nearest one hundred? 134100 Round -148971.86 to the nearest 1000. -149000 What is -0.00006016312 rounded to six decimal places? -0.00006 What is 21356020 rounded to the nearest 1000000? 21000000 What is -4.01794 rounded to 1 decimal place? -4 Round 0.0106547 to 5 dps. 0.01065 What is 139575 rounded to the nearest 1000? 140000 What is 91.17776 rounded to the nearest integer? 91 Round 1697.9274 to the nearest 100. 1700 What is 0.0003289351 rounded to 7 decimal places? 0.0003289 What is -10.0080801 rounded to the nearest integer? -10 Round 0.0010032202 to 4 decimal places. 0.001 What is 0.26089699 rounded to three decimal places? 0.261 What is 0.000044161 rounded to 7 decimal places? 0.0000442 Round -907.6 to the nearest one thousand. -1000 Round -0.03990956 to 2 dps. -0.04 Round -1288145650 to the nearest one hundred thousand. -1288100000 Round 1.963104 to two decimal places. 1.96 Round 0.0000427063 to seven dps. 0.0000427 Round 86.532 to the nearest integer. 87 Round -259.5723 to 0 dps. -260 Round -299.4556 to 1 dp. -299.5 What is -0.5555 rounded to 1 dp? -0.6 What is 5638330 rounded to the nearest one hundred thousand? 5600000 What is -0.000005727192 rounded to seven dps? -0.0000057 What is 697.15544 rounded to one dp? 697.2 What is -291464.9 rounded to the nearest 100? -291500 Round 0.035861172 to three decimal places. 0.036 What is 13.603205 rounded to one dp? 13.6 What is -7153.8 rounded to the nearest 10? -7150 Round -0.0012052087 to six dps. -0.001205 Round 145333600 to the nearest 10000. 145330000 Round -10.29235 to the nearest 10. -10 Round 257147.53 to the nearest one thousand. 257000 Round 0.0000276982 to 5 decimal places. 0.00003 What is -7.06713 rounded to two dps? -7.07 What is 11563.023 rounded to the nearest one hundred? 11600 Round 1049682 to the nearest one hundred thousand. 1000000 Round -2.6293752 to 3 decimal places. -2.629 What is 13118.1839 rounded to the nearest 1000? 13000 What is -0.000889503 rounded to 5 dps? -0.00089 Round 29374.7 to the nearest 1000. 29000 What is 0.0087508301 rounded to 3 dps? 0.009 Round -0.1906927 to 4 decimal places. -0.1907 What is -0.01640208 rounded to 4 decimal places? -0.0164 Round -6.2594 to 1 dp. -6.3 Round 11024820 to the nearest one million. 11000000 What is -7.8653 rounded to 2 dps? -7.87 Round -896114 to the nearest 10000. -900000 Round -112723.3 to the nearest 1000. -113000 What is -134944800 rounded to the nearest ten thousand? -134940000 What is -0.06911279 rounded to 2 dps? -0.07 What is 14622.13 rounded to the nearest 1000? 15000 What is -0.001093424 rounded to 4 decimal places? -0.0011 Round -16950.99 to the nearest ten. -16950 What is 2433070.8 rounded to the nearest 100000? 2400000 Round 0.086381 to 1 dp. 0.1 What is 0.232776 rounded to two dps? 0.23 What is 433100 rounded to the nearest one thousand? 433000 What is -0.00016150175 rounded to six decimal places? -0.000162 Round -16.98404 to 1 dp. -17 What is -0.00000010513 rounded to seven dps? -0.0000001 What is 0.0000131125 rounded to 5 decimal places? 0.00001 What is 0.002453825 rounded to six decimal places? 0.002454 What is -1989266 rounded to the nearest one hundred thousand? -2000000 Round -0.0000149048 to seven decimal places. -0.0000149 What is 17997170 rounded to the nearest ten thousand? 18000000 Round 1.983053 to one dp. 2 Round 85563540 to the nearest 100000. 85600000 Round -130.16604 to one dp. -130.2 Round -1810805 to the nearest one thousand. -1811000 What is 0.3494508 rounded to 2 decimal places? 0.35 What is 13534387 rounded to the nearest one million? 14000000 Round -319.9678 to the nearest integer. -320 What is 0.000013749112 rounded to seven dps? 0.0000137 Round -0.15028995 to four decimal places. -0.1503 What is -0.00001030321 rounded to six decimal places? -0.00001 Round 34015791 to the nearest one hundred thousand. 34000000 Round 0.006600394 to 3 dps. 0.007 What is -0.00001348039 rounded to 7 dps? -0.0000135 Round 876.0634 to the nearest one hundred. 900 What is 52.12376 rounded to the nearest ten? 50 What is -1.58398 rounded to 2 decimal places? -1.58 What is 330601 rounded to the nearest ten thousand? 330000 What is -13977.2 rounded to the nearest 100? -14000 Round 0.00560264 to two dps. 0.01 What is -0.000051043 rounded to 5 dps? -0.00005 What is 0.00020972552 rounded to 4 dps? 0.0002 What is 372.79166 rounded to 0 dps? 373 What is 256324 rounded to the nearest one hundred thousand? 300000 What is -70607000 rounded to the nearest 1000000? -71000000 What is -0.082808 rounded to one decimal place? -0.1
Put 1, -10877, -40, -4 in decreasing order. 1, -4, -40, -10877 Sort 57, -3, -47, -1, -30 in increasing order. -47, -30, -3, -1, 57 Sort -19, 203, -3, -25, -1, 1, -2 in decreasing order. 203, 1, -1, -2, -3, -19, -25 Put 838939, -3/2, 4, 3 in ascending order. -3/2, 3, 4, 838939 Sort -5, -20, -13031, -3, 14, -1. -13031, -20, -5, -3, -1, 14 Put -1, -5, -6.516695 in descending order. -1, -5, -6.516695 Sort 2, 20679791, 3 in descending order. 20679791, 3, 2 Put 2, -11, 1498, -2, 282 in decreasing order. 1498, 282, 2, -2, -11 Sort -323, 10, -6, -9, 5 in descending order. 10, 5, -6, -9, -323 Sort 8, -274/39, -2 in descending order. 8, -2, -274/39 Put 11, -180298, 4, -226, 0 in ascending order. -180298, -226, 0, 4, 11 Sort -235, 2879, 27, -0.4 in ascending order. -235, -0.4, 27, 2879 Sort -1, -52, 68, 2, -142 in decreasing order. 68, 2, -1, -52, -142 Put 15, 8, -13, 1, 5, -20 in increasing order. -20, -13, 1, 5, 8, 15 Put -2, 171, -221 in ascending order. -221, -2, 171 Put 0.05, 139, 2, 5, -9/88 in increasing order. -9/88, 0.05, 2, 5, 139 Sort -6, 0, -9, -2607, 17 in descending order. 17, 0, -6, -9, -2607 Sort 7, -33, -822, -4, 1. -822, -33, -4, 1, 7 Sort -15, -185, -5, -6, 3 in descending order. 3, -5, -6, -15, -185 Put 18, -4, -2/3, 5/6, 4, 3, 1/2 in descending order. 18, 4, 3, 5/6, 1/2, -2/3, -4 Put 2/155, 2/3, 2, 20, 258 in decreasing order. 258, 20, 2, 2/3, 2/155 Sort 4, 5, -207, 1, 31, -4 in descending order. 31, 5, 4, 1, -4, -207 Put -5, 5455, -4, 376 in increasing order. -5, -4, 376, 5455 Sort 93, 11/5, 2/53, -0.2 in descending order. 93, 11/5, 2/53, -0.2 Put -3/13, 1245, -1/36 in ascending order. -3/13, -1/36, 1245 Put -27, 2016, 5, -4, -22 in decreasing order. 2016, 5, -4, -22, -27 Put 3, 1740, -2/9, -9 in decreasing order. 1740, 3, -2/9, -9 Sort 4, -22, -100, -4, 237, -3, -2 in increasing order. -100, -22, -4, -3, -2, 4, 237 Put 5, 9, -12, -7, 254, 2 in descending order. 254, 9, 5, 2, -7, -12 Sort -3/7, 10457, -1, -172, 2, 1 in increasing order. -172, -1, -3/7, 1, 2, 10457 Put -1, -4, 4775, 13, 2 in increasing order. -4, -1, 2, 13, 4775 Put 66, -21, 3, -1694, 0.3, 0.2 in descending order. 66, 3, 0.3, 0.2, -21, -1694 Put 8953, -36466, 1 in ascending order. -36466, 1, 8953 Put 0.08, -4/9, -8730, 3 in increasing order. -8730, -4/9, 0.08, 3 Sort 9, -2882, 0, -4, -0.1, -5, -1 in increasing order. -2882, -5, -4, -1, -0.1, 0, 9 Sort -146, -18, 183, 5 in decreasing order. 183, 5, -18, -146 Sort 6, -271, 2, 15, -6. -271, -6, 2, 6, 15 Put -15, 2/5, 4, -1, -21992, 3/4 in increasing order. -21992, -15, -1, 2/5, 3/4, 4 Put 5, 2, 42, -4, -39 in ascending order. -39, -4, 2, 5, 42 Sort -57.6, -0.3, -9/14, -4, 0.4. -57.6, -4, -9/14, -0.3, 0.4 Sort 5, -1, 5596266, 0 in decreasing order. 5596266, 5, 0, -1 Sort -2, 2886, 5, -5, -704. -704, -5, -2, 5, 2886 Put 4045, -13, -4/5 in increasing order. -13, -4/5, 4045 Sort -0.2, 37, 2/3, -53, -1, 4/7 in ascending order. -53, -1, -0.2, 4/7, 2/3, 37 Put 80, 5, -5015, -2, 2 in descending order. 80, 5, 2, -2, -5015 Put 3, -0.9, 37, -2/9, 0.037, 4/5 in increasing order. -0.9, -2/9, 0.037, 4/5, 3, 37 Put 621.4, 0, -0.1, 24, -0.2, -1/4 in descending order. 621.4, 24, 0, -0.1, -0.2, -1/4 Sort -4, 13, 82, 18, -31. -31, -4, 13, 18, 82 Sort -274, 2, 5, 11, -6, 4 in decreasing order. 11, 5, 4, 2, -6, -274 Put -3, 90, -2/5, -0.263, -319/5 in increasing order. -319/5, -3, -2/5, -0.263, 90 Sort 7, -0.359115, 1/4. -0.359115, 1/4, 7 Put 12, 425, 0.3, -2/13, -56/15 in decreasing order. 425, 12, 0.3, -2/13, -56/15 Put 8, -10, 176291 in ascending order. -10, 8, 176291 Put 3/5, 0.09, -5, 480, -0.7, 2/5 in descending order. 480, 3/5, 2/5, 0.09, -0.7, -5 Put -21040, -7, -4, 2 in descending order. 2, -4, -7, -21040 Put 3, -1/3, -5, 200, -3/434, 0.1 in decreasing order. 200, 3, 0.1, -3/434, -1/3, -5 Sort -5.3467, 6, -25 in decreasing order. 6, -5.3467, -25 Sort 4, 1/5873, -0.5, -1, 69 in decreasing order. 69, 4, 1/5873, -0.5, -1 Sort -108, 1, 0, 498550, 3 in decreasing order. 498550, 3, 1, 0, -108 Put -3, 1, 107300, 2, 0, 3, -2 in ascending order. -3, -2, 0, 1, 2, 3, 107300 Sort 1, 120, 5, -5, -7, -3, -35 in decreasing order. 120, 5, 1, -3, -5, -7, -35 Put 2/11, -3, -0.1, -43338, 2.8, 4 in decreasing order. 4, 2.8, 2/11, -0.1, -3, -43338 Put 42.155, -5/2, -22 in decreasing order. 42.155, -5/2, -22 Sort -1, -5/7, 2, 0.13, 0, -5, 674. -5, -1, -5/7, 0, 0.13, 2, 674 Sort 42, 6, -13, -1555. -1555, -13, 6, 42 Sort 16.5, 8324, 360 in descending order. 8324, 360, 16.5 Sort 4, 3, -2, -5, 9, -370, 0 in increasing order. -370, -5, -2, 0, 3, 4, 9 Sort -33, 40, 3, -10 in descending order. 40, 3, -10, -33 Put -49, 311, -4, 2, 0, 3, 4 in decreasing order. 311, 4, 3, 2, 0, -4, -49 Sort 5, 6/53, 3806, -4, 1/5 in increasing order. -4, 6/53, 1/5, 5, 3806 Sort -1, 3, 4412, 15, 446. -1, 3, 15, 446, 4412 Sort -10, 6, 5, -3, 22, -96, -1 in ascending order. -96, -10, -3, -1, 5, 6, 22 Put 0, 2, 10977, -17, 1 in increasing order. -17, 0, 1, 2, 10977 Sort 4, -215, 0.5, -4481, -3/5, -2 in decreasing order. 4, 0.5, -3/5, -2, -215, -4481 Put 40, -5, 334, 1, -1, -4 in descending order. 334, 40, 1, -1, -4, -5 Sort 1, -3, -7, -223, 10 in descending order. 10, 1, -3, -7, -223 Put -17, 393, -0.62, 0.05, 1.2 in ascending order. -17, -0.62, 0.05, 1.2, 393 Sort -3, 370, 6599 in increasing order. -3, 370, 6599 Put 2, 3, -2, -18, -11, -46, -3 in descending order. 3, 2, -2, -3, -11, -18, -46 Sort -17, -5, 4, -4, 5, 3, 781 in descending order. 781, 5, 4, 3, -4, -5, -17 Put -2/107, 8, 27, -4, -1, 2, 25 in increasing order. -4, -1, -2/107, 2, 8, 25, 27 Sort -6, 5, -1, -4, -3, 18, -12 in increasing order. -12, -6, -4, -3, -1, 5, 18 Sort -3, -1, -66, 68, 3, 499 in decreasing order. 499, 68, 3, -1, -3, -66 Sort 3, 3/83, 2/3, -5, -2, 2/17 in decreasing order. 3, 2/3, 2/17, 3/83, -2, -5 Put -2, 2/11, 4682, 2039, 4 in increasing order. -2, 2/11, 4, 2039, 4682 Put 0, 21304, -5/2, 96 in ascending order. -5/2, 0, 96, 21304 Put -3.6, -6/5, 0.51, 1/6, 2/11 in descending order. 0.51, 2/11, 1/6, -6/5, -3.6 Put 2, -3, -8, 0, -182, -2, 1 in ascending order. -182, -8, -3, -2, 0, 1, 2 Sort 5, 2/5, 3/10, 0.18, -988/55 in descending order. 5, 2/5, 3/10, 0.18, -988/55 Put -5, -6, 9497468, -2 in decreasing order. 9497468, -2, -5, -6 Sort -4, 5, -7, -127, -779 in ascending order. -779, -127, -7, -4, 5 Sort 1, -3.41, -0.2, -4, 1/12, 4 in decreasing order. 4, 1, 1/12, -0.2, -3.41, -4 Put -122, 102, 25, -2, -4 in ascending order. -122, -4, -2, 25, 102 Sort -119, 32, -33 in increasing order. -119, -33, 32 Sort 1/2, 6, 2, 5, 3/73, 8/5, 2/19 in ascending order. 3/73, 2/19, 1/2, 8/5, 2, 5, 6 Put 21542, -1, -4, -5, 5, -8 in decreasing order. 21542, 5, -1, -4, -5, -8 Sort 2/9, -0.03888, 2/1529, 5, -3. -3, -0.03888, 2/1529, 2/9, 5 Sort 38, 0, -37, -15443 in decreasing order. 38, 0, -37, -15443 Sort -3/19, -3/2, -1/13, 2.3, 1/7 in decreasing order. 2.3, 1/7, -1/13, -3/19, -3/2 Sort 1, 16, -385, 943 in decreasing order. 943, 16, 1, -385 Put 1, -4, 1/8, 0.042, -0.5 in increasing order. -4, -0.5, 0.042, 1/8, 1 Put 3, -11, -2, -7733, -5, 1 in decreasing order. 3, 1, -2, -5, -11, -7733 Put -2/5, 0.016, 11.51, -467 in ascending order. -467, -2/5, 0.016, 11.51 Put 5, -99, -43629, -5 in descending order. 5, -5, -99, -43629 Sort 4, 5, 12, 3, 14745. 3, 4, 5, 12, 14745 Sort -5, -3, 213680, 1, -2, -6 in ascending order. -6, -5, -3, -2, 1, 213680 Put 5, 3/7, -4, 0.0205581 in increasing order. -4, 0.0205581, 3/7, 5 Sort -30, 75, -5, 0, 4, -11, 3. -30, -11, -5, 0, 3, 4, 75 Sort -3/215, -0.04432, 2 in decreasing order. 2, -3/215, -0.04432 Sort -3071, -183, 3, 1.06 in increasing order. -3071, -183, 1.06, 3 Sort 8, 4/15, 1/6, -21/8, 0, 20. -21/8, 0, 1/6, 4/15, 8, 20 Put -4, 5, -1095, 4, 2848 in increasing order. -1095, -4, 4, 5, 2848 Sort 1/17, 2/7, -11, 3, 0.43, -1 in decreasing order. 3, 0.43, 2/7, 1/17, -1, -11 Put 2/9, 2/3, 1011028, -3 in decreasing order. 1011028, 2/3, 2/9, -3 Sort 0, 3, 2, 3843, 220 in ascending order. 0, 2, 3, 220, 3843 Sort 3, -2, 1, 3.2, -6/11 in decreasing order. 3.2, 3, 1, -6/11, -2 Put 234, 5, -3, 3/4, 2/15, 54.2 in ascending order. -3, 2/15, 3/4, 5, 54.2, 234 Sort 48, -4, -65, -14, 3 in descending order. 48, 3, -4, -14, -65 Sort -5, 1, -1, 519, 42769 in descending order. 42769, 519, 1, -1, -5 Put 0, 4, 7, -153, 1, -61 in descending order. 7, 4, 1, 0, -61, -153 Put 322, 1, 3, -5, 362 in increasing order. -5, 1, 3, 322, 362 Put -5, -1.7, -87070 in descending order. -1.7, -5, -87070 Put -5, 1, -61, 1036, 0, -3, 3 in decreasing order. 1036, 3, 1, 0, -3, -5, -61
Sort 0.04, -4/7, 1, -0.3, -6, -55 in decreasing order. 1, 0.04, -0.3, -4/7, -6, -55 Sort -1, -24314, 530, -1.5 in decreasing order. 530, -1, -1.5, -24314 Put 12810, -2, -9562 in decreasing order. 12810, -2, -9562 Put 0, -2/27, -1730 in decreasing order. 0, -2/27, -1730 Put -2, 88, 3, 549 in decreasing order. 549, 88, 3, -2 Sort 0.03, -255/7, 20/13 in descending order. 20/13, 0.03, -255/7 Sort -3, -5, -7/25114, -2/23 in ascending order. -5, -3, -2/23, -7/25114 Sort 4, 1/6, -2, 59613, -2/3 in descending order. 59613, 4, 1/6, -2/3, -2 Put -2/267, 164, 488 in increasing order. -2/267, 164, 488 Sort 0.1, 2/17, 0, 5, -7537, -32, 2. -7537, -32, 0, 0.1, 2/17, 2, 5 Put -2, -1070, -38, -5, 12 in decreasing order. 12, -2, -5, -38, -1070 Put -1, 9, 0, -415, -9, 4, 5 in decreasing order. 9, 5, 4, 0, -1, -9, -415 Sort 2, 10, -2, -3, 14596, 5. -3, -2, 2, 5, 10, 14596 Sort 1579341, -1, 5, -3, 3 in increasing order. -3, -1, 3, 5, 1579341 Sort 2, -2, -33, 11, 3, -3. -33, -3, -2, 2, 3, 11 Sort 1.4, 23, -35, 2/5, -0.3 in increasing order. -35, -0.3, 2/5, 1.4, 23 Sort -51, 4, 3, 5, -19, 30 in descending order. 30, 5, 4, 3, -19, -51 Sort 3859, -87, -1070, -1 in ascending order. -1070, -87, -1, 3859 Put -0.3, 345743, 4 in decreasing order. 345743, 4, -0.3 Put -0.3, 6, -1, -2/57, -1356.7, 4 in decreasing order. 6, 4, -2/57, -0.3, -1, -1356.7 Sort 2/3, -689, -94, -1/3 in ascending order. -689, -94, -1/3, 2/3 Put 18, -455, -1, 37, 1, 21, 2 in decreasing order. 37, 21, 18, 2, 1, -1, -455 Sort -1, 48969, 2961. -1, 2961, 48969 Sort -155267, 4, -16, 3 in ascending order. -155267, -16, 3, 4 Sort -3, -410, -493, 4, -35. -493, -410, -35, -3, 4 Sort 162, -103, 6, -2, -5 in ascending order. -103, -5, -2, 6, 162 Put -17, 5, -1, 0.5, 329, 4, -3 in increasing order. -17, -3, -1, 0.5, 4, 5, 329 Sort -5310, -9, 213 in decreasing order. 213, -9, -5310 Put -19, 5, -3, -3725 in descending order. 5, -3, -19, -3725 Sort -22, 5, 200, -169. -169, -22, 5, 200 Sort -0.02, -16.202, -9 in increasing order. -16.202, -9, -0.02 Sort -1, 3, 59121, -2, -7 in decreasing order. 59121, 3, -1, -2, -7 Put -4, 5, 27/57439 in descending order. 5, 27/57439, -4 Sort -4, -5, -9, -1, 1163, 2, -7 in descending order. 1163, 2, -1, -4, -5, -7, -9 Sort 2448, 1/49, 0.09 in decreasing order. 2448, 0.09, 1/49 Sort -1, -5, 0, -4, -64, -22, 27 in decreasing order. 27, 0, -1, -4, -5, -22, -64 Sort -3/7, -3, -17645, -3/8 in decreasing order. -3/8, -3/7, -3, -17645 Sort 20471, -4, -90. -90, -4, 20471 Sort -526, 4, -3/2, 2/7811, 5. -526, -3/2, 2/7811, 4, 5 Sort -0.3, 23, -2/3, 1, -21, 4, 43 in increasing order. -21, -2/3, -0.3, 1, 4, 23, 43 Sort -1/9, -5, 10, 35, 2, -68, -2/9 in decreasing order. 35, 10, 2, -1/9, -2/9, -5, -68 Put -11/5, -76373, 2/19, 17/5 in descending order. 17/5, 2/19, -11/5, -76373 Put 0, 39/50, -3, -1/199 in decreasing order. 39/50, 0, -1/199, -3 Sort -5, -6, 58238 in descending order. 58238, -5, -6 Put 4, -3, 5605, 1, 79, -2 in ascending order. -3, -2, 1, 4, 79, 5605 Put -2, 9, 5, -4, 202271 in decreasing order. 202271, 9, 5, -2, -4 Sort 15, -258, 3, -22, 1, -4. -258, -22, -4, 1, 3, 15 Sort 16.7, 2, -4, 288/5, -2/7 in descending order. 288/5, 16.7, 2, -2/7, -4 Sort -4, 207, 11, 28, 5, 6 in increasing order. -4, 5, 6, 11, 28, 207 Sort -4, -2, 3, -177757. -177757, -4, -2, 3 Sort -0.3754, 3, -1/6, -33 in increasing order. -33, -0.3754, -1/6, 3 Sort 1/4, -0.06, 7, -0.1, 2, 24 in descending order. 24, 7, 2, 1/4, -0.06, -0.1 Sort 4, 1, -108, -4/7, -76, -6 in decreasing order. 4, 1, -4/7, -6, -76, -108 Put 0, 664, 0.1, 3, 2/41, 11 in descending order. 664, 11, 3, 0.1, 2/41, 0 Put -615248, -4, 3, 76, -5 in ascending order. -615248, -5, -4, 3, 76 Sort -15, 117827, -72, 1 in ascending order. -72, -15, 1, 117827 Put -121, -0.2, -78880 in decreasing order. -0.2, -121, -78880 Sort 0.233, 0.091, 15, 2 in decreasing order. 15, 2, 0.233, 0.091 Put 13, 132, 5, 2, 4, -2, 143 in descending order. 143, 132, 13, 5, 4, 2, -2 Sort 3/106, 28, 1, -5, -0.3 in decreasing order. 28, 1, 3/106, -0.3, -5 Put 3, 0, 332273 in decreasing order. 332273, 3, 0 Put 1, -1, -2, -52, -14330 in ascending order. -14330, -52, -2, -1, 1 Sort 9, 6, -830, 1, -10 in ascending order. -830, -10, 1, 6, 9 Sort 1, 9918347, 3. 1, 3, 9918347 Put -2, 800431, 1, 4 in ascending order. -2, 1, 4, 800431 Sort 3300, -5, -594. -594, -5, 3300 Put -20, -3, 0, -9, 3, -1167, 4 in increasing order. -1167, -20, -9, -3, 0, 3, 4 Put 2661, -2, -20964 in decreasing order. 2661, -2, -20964 Sort -308, 5, 22, 4, -4, -24 in decreasing order. 22, 5, 4, -4, -24, -308 Sort 0.2, -5, -14874, -964, -2/3. -14874, -964, -5, -2/3, 0.2 Put 1, -0.01, -2, 4, -2535, -6 in ascending order. -2535, -6, -2, -0.01, 1, 4 Sort -0.5, 3968, 17, -4/3 in descending order. 3968, 17, -0.5, -4/3 Put -17, -7, -4789, 6, 4, -4 in increasing order. -4789, -17, -7, -4, 4, 6 Sort 6338, -129, -47 in descending order. 6338, -47, -129 Sort -1/8, -2, 1298.9, 2537 in increasing order. -2, -1/8, 1298.9, 2537 Sort 42, 1/3, 3, 2, 9.4, -13. -13, 1/3, 2, 3, 9.4, 42 Put 45/14, -3/1427, 4/7, 1/5, -3 in increasing order. -3, -3/1427, 1/5, 4/7, 45/14 Sort 3/7, 768041, -2/15, 0 in descending order. 768041, 3/7, 0, -2/15 Sort -2/13, -8, -3/7, -0.01, 744. -8, -3/7, -2/13, -0.01, 744 Sort 4, 12, 0, -1/3, 18, -2/77 in descending order. 18, 12, 4, 0, -2/77, -1/3 Sort -713, 0.8, 7, 0.5, -1.6 in decreasing order. 7, 0.8, 0.5, -1.6, -713 Sort 8, -354, -4, 73, 3, 0 in increasing order. -354, -4, 0, 3, 8, 73 Put 0, 18485, 2444 in increasing order. 0, 2444, 18485 Sort 0.407, 3, -14.1, -5, 4 in decreasing order. 4, 3, 0.407, -5, -14.1 Put 0, 143604, -3, -4 in increasing order. -4, -3, 0, 143604 Sort -0.61, -39/4, -33/388 in ascending order. -39/4, -0.61, -33/388 Sort 0.08, 181/740, -1. -1, 0.08, 181/740 Sort 5, 2, -26, -15, 74, -2, 28 in decreasing order. 74, 28, 5, 2, -2, -15, -26 Put 4137286, -1, 1/5, -282 in ascending order. -282, -1, 1/5, 4137286 Sort 5, -18, -2, -5, -67, -1606 in decreasing order. 5, -2, -5, -18, -67, -1606 Sort -742, 28, 4, -8, 3, -3 in increasing order. -742, -8, -3, 3, 4, 28 Sort 5, 6, -29, 1, 4 in ascending order. -29, 1, 4, 5, 6 Put -7/40, 3916.3, -3, 5 in ascending order. -3, -7/40, 5, 3916.3 Sort -25, -5, 176, -2, 2585 in increasing order. -25, -5, -2, 176, 2585 Sort 4, -4/3, 1323, 1.4 in increasing order. -4/3, 1.4, 4, 1323 Put 0, -27, -2, -18, 33 in ascending order. -27, -18, -2, 0, 33 Sort 11, 75, -19, -177, -5 in increasing order. -177, -19, -5, 11, 75 Sort -84, -0.5, -1, -0.2, 2, 0 in decreasing order. 2, 0, -0.2, -0.5, -1, -84 Put -1/18, -1/24, 535, 3, -21, -1 in ascending order. -21, -1, -1/18, -1/24, 3, 535 Put 276, -29, -84, 0, -1, 4, -3 in increasing order. -84, -29, -3, -1, 0, 4, 276 Sort -8079, 3, -88, -3, 2, -2 in descending order. 3, 2, -2, -3, -88, -8079 Put 19/82, -2, 210, -1/2 in increasing order. -2, -1/2, 19/82, 210 Sort 159436, -5, 1, 20, 0 in descending order. 159436, 20, 1, 0, -5 Put 5815, 5.3, 3/2 in descending order. 5815, 5.3, 3/2 Sort -3, 1423, -59710 in descending order. 1423, -3, -59710 Put -538, -1, -327, 52 in increasing order. -538, -327, -1, 52 Put -345, -0.4, 0.0625, 2 in descending order. 2, 0.0625, -0.4, -345 Put 2, 43, 3689 in descending order. 3689, 43, 2 Put 25, -144, -113, 2, -5 in increasing order. -144, -113, -5, 2, 25 Put 6, 5, -3, -12, 33068 in descending order. 33068, 6, 5, -3, -12 Sort 13, -15, 1003313 in decreasing order. 1003313, 13, -15 Put -1, 5, 47, -4, 13, -1351, 2 in descending order. 47, 13, 5, 2, -1, -4, -1351 Put 3, -2213, -1396, 5, -4, -5, -1 in descending order. 5, 3, -1, -4, -5, -1396, -2213 Sort -0.04983, 3, -0.1982. -0.1982, -0.04983, 3 Put -5, -0.4, -273, -4, 3, -19 in decreasing order. 3, -0.4, -4, -5, -19, -273 Put 185, 268, 3, 5 in decreasing order. 268, 185, 5, 3 Sort -5, -53/2, -5/3, -851, 3, -28. -851, -28, -53/2, -5, -5/3, 3 Sort -4, -1, 4, -1871028. -1871028, -4, -1, 4 Sort 0, 33, 1, -3, -2886, -1 in decreasing order. 33, 1, 0, -1, -3, -2886 Sort -311, 3, 1931 in increasing order. -311, 3, 1931 Sort 21085, -739, -5 in ascending order. -739, -5, 21085 Sort 43006, -13, 31 in increasing order. -13, 31, 43006 Put 2/75, -835514, -1.5 in decreasing order. 2/75, -1.5, -835514 Sort -5, 1710, 30672 in increasing order. -5, 1710, 30672 Put 79907, 2, -2, -4, 4, -1, -5 in descending order. 79907, 4, 2, -1, -2, -4, -5 Put -2/7, -2/3, 19, -2, -578 in descending order. 19, -2/7, -2/3, -2, -578 Sort 5, 66077, 4, 2, -5 in ascending order. -5, 2, 4, 5, 66077 Sort 5, -3, -44, -16, 0, -2399 in ascending order. -2399, -44, -16, -3, 0, 5
Determine t so that -2*t**3/5 - 16*t**2/5 - 2*t/5 + 84/5 = 0. -7, -3, 2 Let n**2/7 + 3*n/7 + 2/7 = 0. Calculate n. -2, -1 Factor -3*b**3/4 + 555*b**2/4 + 564*b + 567. -3*(b - 189)*(b + 2)**2/4 Factor 10*g**4 - 36*g**3 - 66*g**2 - 20*g. 2*g*(g - 5)*(g + 1)*(5*g + 2) Suppose 3*b**2 + 18*b + 24 = 0. Calculate b. -4, -2 Let 2*c**4/7 + 82*c**3/7 + 708*c**2/7 - 2728*c/7 + 1936/7 = 0. Calculate c. -22, 1, 2 Factor -4*j**2 - 20*j + 56. -4*(j - 2)*(j + 7) Let t**5/8 + 33*t**4/8 + 61*t**3/8 - 33*t**2/8 - 31*t/4 = 0. Calculate t. -31, -2, -1, 0, 1 Factor -n**4/7 - 20*n**3/7 + 92*n**2/7 - 96*n/7. -n*(n - 2)**2*(n + 24)/7 Factor -3*t**5 + 15*t**4 + 42*t**3 + 6*t**2 - 39*t - 21. -3*(t - 7)*(t - 1)*(t + 1)**3 Determine d so that -d**3 + 44*d**2 - 437*d - 1058 = 0. -2, 23 Solve 3*f**5 + 72*f**4 + 120*f**3 - 270*f**2 - 123*f + 198 = 0 for f. -22, -3, -1, 1 Factor -u**3/9 + 733*u**2/3 - 134200*u - 1210000/9. -(u - 1100)**2*(u + 1)/9 Factor 2*z**4/7 + 6*z**3/7 - 2*z**2/7 - 6*z/7. 2*z*(z - 1)*(z + 1)*(z + 3)/7 Factor 3*j**2/4 - 6078*j + 12314028. 3*(j - 4052)**2/4 Suppose -m**3/4 - 73*m**2/2 + 149*m - 150 = 0. What is m? -150, 2 Suppose 6*a**3 - 285*a**2/2 + 228*a + 66 = 0. Calculate a. -1/4, 2, 22 Determine t, given that -5*t**5 - 12*t**4 + 8*t**3 + 46*t**2 + 45*t + 14 = 0. -7/5, -1, 2 Factor -l**2/5 - 2054*l/5 - 1054729/5. -(l + 1027)**2/5 Determine v, given that 4*v**5 - 248*v**4/5 + 816*v**3/5 - 288*v**2/5 = 0. 0, 2/5, 6 What is q in -188*q**5/9 + 1126*q**4/9 - 748*q**3/3 + 1856*q**2/9 - 544*q/9 - 2/3 = 0? -1/94, 1, 3 Determine n, given that -2*n**4/7 + 78*n**3/7 - 340*n**2/7 = 0. 0, 5, 34 Factor 5*l**2 + 30*l + 45. 5*(l + 3)**2 Factor -i**3/10 - 3039*i**2/10 - 3078507*i/10 - 1039509197/10. -(i + 1013)**3/10 Factor 4*n**2/9 - 8*n/3 - 12. 4*(n - 9)*(n + 3)/9 Factor -2*p**4 - 4*p**3 + 6*p**2 + 8*p - 8. -2*(p - 1)**2*(p + 2)**2 Factor -5*k**4 - 275*k**3 - 1755*k**2 - 3645*k - 2160. -5*(k + 1)*(k + 3)**2*(k + 48) Factor -14*r**3 + 141*r**2 - 360*r + 25. -(r - 5)**2*(14*r - 1) Factor 3*i**2/7 + 579*i/7 - 582/7. 3*(i - 1)*(i + 194)/7 Factor -3*t**2/2 + 14*t - 16. -(t - 8)*(3*t - 4)/2 Factor 4*g**4 - 176*g**3 - 1396*g**2 - 1696*g + 3264. 4*(g - 51)*(g - 1)*(g + 4)**2 Factor 3*a**2/2 + 285*a - 576. 3*(a - 2)*(a + 192)/2 Solve j**4 - 6*j**3 + 11*j**2 - 6*j = 0. 0, 1, 2, 3 Factor 5*q**5 - 25*q**4 - 15*q**3 + 85*q**2 - 50*q. 5*q*(q - 5)*(q - 1)**2*(q + 2) Factor 2*o**4/7 + 22*o**3/7 + 24*o**2/7 - 360*o/7 - 864/7. 2*(o - 4)*(o + 3)*(o + 6)**2/7 Factor 2*p**3/7 + 138*p**2 + 117126*p/7 + 116162/7. 2*(p + 1)*(p + 241)**2/7 Determine n so that 2*n**4 - 20*n**3 + 64*n**2 - 64*n = 0. 0, 2, 4 Find h, given that 2*h**3 - 32*h = 0. -4, 0, 4 Determine j so that -20*j**2/7 + 856*j/7 + 172/7 = 0. -1/5, 43 Solve -3*v**4 + 20*v**3 - 27*v**2 - 26*v + 24 = 0 for v. -1, 2/3, 3, 4 Factor -v**2/6 - 5*v + 32/3. -(v - 2)*(v + 32)/6 Suppose -10*h**2 + 65*h - 75 = 0. Calculate h. 3/2, 5 Solve -3*z**2/4 - 429*z/4 + 108 = 0. -144, 1 Factor -2*u**2 - 50*u. -2*u*(u + 25) Suppose -245*b**5 - 1316*b**4 - 1329*b**3 + 1598*b**2 + 1124*b + 168 = 0. What is b? -3, -14/5, -2/7, 1 Determine u, given that 3*u**5/7 + 789*u**4/7 - 114*u**3 - 1584*u**2/7 = 0. -264, -1, 0, 2 Factor x**2 + 13*x. x*(x + 13) Factor -4*j**2/5 - 3*j/5. -j*(4*j + 3)/5 Factor 5*d**3 + 150*d**2 + 720*d. 5*d*(d + 6)*(d + 24) Factor 3*c**2 + 15*c + 12. 3*(c + 1)*(c + 4) Factor -4*x**4 - 40*x**3 - 68*x**2 - 32*x. -4*x*(x + 1)**2*(x + 8) Let 5*p**4 + 190*p**3 + 2145*p**2 + 6460*p + 5780 = 0. What is p? -17, -2 Determine h, given that 4*h**5 + 48*h**4 + 52*h**3 - 1464*h**2 - 7040*h - 9600 = 0. -5, -4, 6 Factor m**3/3 - 7*m**2/3 + 8*m/3 + 16/3. (m - 4)**2*(m + 1)/3 Factor c**2/3 + 16*c/3 + 5. (c + 1)*(c + 15)/3 Factor -2*j**2 + 1334*j - 2660. -2*(j - 665)*(j - 2) Factor -3*b**4 - 171*b**3 - 3048*b**2 - 16704*b - 13824. -3*(b + 1)*(b + 8)*(b + 24)**2 Solve 2*o**4 + 40*o**3 - 184*o**2 + 192*o = 0. -24, 0, 2 Factor -4*s**2/5 + 15184*s/5 - 14409616/5. -4*(s - 1898)**2/5 Let -10*n**2 - 44*n = 0. Calculate n. -22/5, 0 Factor 3*n**3/5 - 207*n**2/5 + 4761*n/5 - 36501/5. 3*(n - 23)**3/5 Let 3*p**3/2 - 75*p**2/2 + 228*p - 408 = 0. Calculate p. 4, 17 Find t such that 3*t**2/8 + 321*t/8 - 81/2 = 0. -108, 1 Determine p so that 4*p**4/3 - 12*p**3 + 28*p**2 + 4*p/3 - 40 = 0. -1, 2, 3, 5 Find s, given that 3*s**4 + 9*s**3 - 69*s**2 - 225*s - 150 = 0. -5, -2, -1, 5 Factor -5*t**2 + 1770*t + 1775. -5*(t - 355)*(t + 1) Factor -2*n**4 + 64*n**3 - 624*n**2 + 1792*n - 1568. -2*(n - 14)**2*(n - 2)**2 Determine m, given that -2*m**3/5 - 72*m**2/5 - 66*m/5 + 28 = 0. -35, -2, 1 Suppose 2*x**3/13 - 82*x**2/13 = 0. Calculate x. 0, 41 What is h in -2*h**3/11 - 180*h**2/11 - 678*h/11 + 860/11 = 0? -86, -5, 1 Solve -2*v**3/9 + 4*v**2 - 46*v/3 + 104/9 = 0 for v. 1, 4, 13 Determine w so that 4*w**3 - 24*w**2 - 16*w + 96 = 0. -2, 2, 6 Let 2*i**5 + 72*i**4 + 246*i**3 - 320*i**2 = 0. Calculate i. -32, -5, 0, 1 Factor -2*y**2/7 + 132*y/7 - 2178/7. -2*(y - 33)**2/7 Factor -4*k**3 + 444*k**2 - 9516*k - 163724. -4*(k - 61)**2*(k + 11) Find l, given that 9*l**5 - 615*l**4 - 1047*l**3 - 213*l**2 + 210*l = 0. -1, 0, 1/3, 70 Let 8*u**5 + 4*u**4 - 80*u**3 - 40*u**2 + 72*u + 36 = 0. Calculate u. -3, -1, -1/2, 1, 3 Factor -2*a**2/9 - 1444*a/9 - 260642/9. -2*(a + 361)**2/9 Factor -5*s**4 - 190*s**3 - 2685*s**2 - 16720*s - 38720. -5*(s + 8)**2*(s + 11)**2 Let 2*l**3/5 + 44*l**2/5 - 94*l/5 + 48/5 = 0. What is l? -24, 1 Factor 2*l**3/5 + 2*l**2 - 176*l/5 + 416/5. 2*(l - 4)**2*(l + 13)/5 Factor 27*n**3/4 - 9*n**2 - 96*n + 192. 3*(n + 4)*(3*n - 8)**2/4 Suppose 3*y**4/5 + 51*y**3/5 - 174*y**2/5 + 24*y = 0. What is y? -20, 0, 1, 2 What is i in -2*i**3/15 + 1082*i**2/15 - 1434*i/5 + 1074/5 = 0? 1, 3, 537 Let -2*i**5/9 + 40*i**4/9 - 10*i**3/3 - 80*i**2 - 72*i = 0. Calculate i. -3, -1, 0, 6, 18 Suppose 70*a**5 - 65*a**4 - 425*a**3 + 250*a**2 + 580*a + 40 = 0. What is a? -2, -1, -1/14, 2 Suppose 470*d**3 - 5*d**2 - 1880*d + 20 = 0. Calculate d. -2, 1/94, 2 Let -d**4/2 - 3*d**3 + d**2/2 + 3*d = 0. Calculate d. -6, -1, 0, 1 Factor 3*s**3 - 21*s**2 - 15*s + 225. 3*(s - 5)**2*(s + 3) Determine q, given that 18*q**5/5 + 12*q**4/5 - 54*q**3/5 - 72*q**2/5 - 24*q/5 = 0. -1, -2/3, 0, 2 Factor 8*g**3/15 + 544*g**2/15 + 2002*g/3 + 1690. 2*(g + 3)*(2*g + 65)**2/15 Factor -4*p**2/5 - 24256*p/5 - 36772096/5. -4*(p + 3032)**2/5 Find k such that -2*k**4/15 + 14*k**2/15 - 4*k/5 = 0. -3, 0, 1, 2 Factor 21*l**3/4 + 16*l**2 - 19*l + 4. (l + 4)*(3*l - 2)*(7*l - 2)/4 What is w in -4*w**5 - 4*w**4 + 36*w**3 + 52*w**2 - 32*w - 48 = 0? -2, -1, 1, 3 Determine t so that 4*t**5 - 48*t**4 + 224*t**3 - 504*t**2 + 540*t - 216 = 0. 1, 2, 3 Factor -4*i**3 - 92*i**2 - 380*i + 476. -4*(i - 1)*(i + 7)*(i + 17) What is a in 2*a**4 - 12*a**3 + 10*a**2 + 24*a = 0? -1, 0, 3, 4 What is a in 2*a**4/3 - 34*a**3/15 - 28*a**2/15 + 136*a/15 - 16/5 = 0? -2, 2/5, 2, 3 What is d in -8*d**3/3 - 88*d**2/3 + 94*d/3 - 8 = 0? -12, 1/2 Factor r**2/3 + 5260*r/3 + 6916900/3. (r + 2630)**2/3 Factor -4*i**3 - 27816*i**2 - 48358116*i. -4*i*(i + 3477)**2 What is m in m**4 - 14*m**3 + 3*m**2 + 122*m + 104 = 0? -2, -1, 4, 13 Factor 20*h**4 - 145*h**3 + 255*h**2 - 155*h + 25. 5*(h - 5)*(h - 1)**2*(4*h - 1) Let -2*d**2 - 936*d + 938 = 0. What is d? -469, 1 Factor 2*k**2/5 + 92*k/5 + 144. 2*(k + 10)*(k + 36)/5 Find s such that -2*s**5/7 - 8*s**4/7 + 36*s**3/7 + 144*s**2/7 - 162*s/7 - 648/7 = 0. -4, -3, 3 Determine r so that 10*r**4/17 + 116*r**3/17 + 386*r**2/17 + 472*r/17 + 168/17 = 0. -7, -2, -3/5 Factor -2*j**3 - 82*j**2 + 360*j. -2*j*(j - 4)*(j + 45) Suppose 2*a**3/11 + 336*a**2/11 - 338*a/11 = 0. Calculate a. -169, 0, 1 Solve 3*x**3 + 134*x**2 + 1393*x + 870 = 0 for x. -29, -15, -2/3 Factor 2*g**2/5 + 16*g + 160. 2*(g + 20)**2/5 Factor -o**2 - 84*o - 1764. -(o + 42)**2 Find b such that b**3/3 - 8*b**2/3 - 19*b/3 - 10/3 = 0. -1, 10 Suppose 2*h**2/7 - 130*h + 1812/7 = 0. What is h? 2, 453 Find b such that -3*b**4/4 + 249*b**3/2 - 2439*b**2/4 + 969*b - 483 = 0. 1, 2, 161 Factor -v**3/4 - 11*v**2/4 + v/4 + 11/4. -(v - 1)*(v + 1)*(v + 11)/4 Suppose -2*b**4 + 10*b**3/3 + 10*b**2/3 - 10*b/3 - 4/3 = 0. What is b? -1, -1/3, 1, 2 Let 21*z**3 - 492*z**2 - 297*z + 216 = 0. Calculate z. -1, 3/7, 24 Factor -2*i**2/5 + 254*i/5 + 156. -2*(i - 130)*(i + 3)/5 Factor -9*n**3 - 3207*n**2 - 4263*n - 1065. -3*(n + 1)*(n + 355)*(3*n + 1) Find t such that -3*t**3/7 + 93*t**2/7 + 3264*t/7 - 101376/7 = 0. -33, 32 Suppose -2*r**2/5 + 210*r + 6372/5 = 0. What is r? -6, 531 Factor -3*g**2/5 + 108*g/5 - 21. -3*(g - 35)*(g - 1)/5
Find the second derivative of -7132*c**2*r**2 - 268*c**2*r + 2*c**2 - 1823*c*r + 403*r**2 wrt c. -14264*r**2 - 536*r + 4 What is the derivative of 2*p**2*u + 47*p**2 - 61094*p*u - 4593*p - 25*u - 1 wrt u? 2*p**2 - 61094*p - 25 Differentiate -1441657*j**4*t**2*x + 2*j*t*x - 8*t**2*x + 348768*x with respect to j. -5766628*j**3*t**2*x + 2*t*x Differentiate 5624065*y**4 + 22507446 with respect to y. 22496260*y**3 Find the second derivative of 19629485*g*k**2 + 34653*g*k - g - 14*k**2 + 2*k - 119 wrt k. 39258970*g - 28 Find the third derivative of -4172240*a**3 + 2202091*a**2. -25033440 Find the third derivative of -611*b*f**3 + 674068091*b*f**2 + 747*f**3 wrt f. -3666*b + 4482 What is the second derivative of -209698640*p**3 + 69220121*p? -1258191840*p What is the third derivative of -11444621*c**6 - 2*c**4 + 5*c**3 + 119420276*c**2 + c + 1? -1373354520*c**3 - 48*c + 30 Find the third derivative of -182961084*x**3*z**2 + x**3*z - 6571124*x**2*z**2 - 43*x*z**2 wrt x. -1097766504*z**2 + 6*z What is the first derivative of -303456*x**3*z + 3*x**3 + 5*x**2*z - 3*x**2 + 3*x - 4550 wrt z? -303456*x**3 + 5*x**2 Find the third derivative of -107981314*p**4 + 130837280*p**2 wrt p. -2591551536*p What is the third derivative of 17931221*x**4 - 307*x**2 + 81*x + 14 wrt x? 430349304*x Find the second derivative of -47761*w**5 + 919*w**4 + w + 63771862. -955220*w**3 + 11028*w**2 Differentiate 4*r**3 + 1095698*r**2 + 83422093 with respect to r. 12*r**2 + 2191396*r What is the second derivative of 6*a*f**2*j**2 + 636*a*f**2 - a*f*j - 34998*a*j**2 - 392*f**2 + 5*j**2 wrt f? 12*a*j**2 + 1272*a - 784 Differentiate 277815575*s**4 - 179999970 with respect to s. 1111262300*s**3 Find the first derivative of -36400*t**4*u + 116*t**2*u - 5*t*u - 42338*u + 531 wrt t. -145600*t**3*u + 232*t*u - 5*u What is the second derivative of -84*a**3*t**2 + 606096*a**3*t - 150*a - 126559*t**2 wrt a? -504*a*t**2 + 3636576*a*t Differentiate 112951772*j + 823413 with respect to j. 112951772 What is the first derivative of 2*n**4 + 4*n**3 - 4*n**2 - 56101*n + 840286378 wrt n? 8*n**3 + 12*n**2 - 8*n - 56101 Differentiate 17*f**2 - 656371*f + 98234072 with respect to f. 34*f - 656371 Find the second derivative of -3632401*k**3 - 23*k**2 - 750992757*k. -21794406*k - 46 What is the third derivative of 2*i**5*q*z + 4249305*i**3*q**2*z - i**2*q**2 - 49*i*q**2*z - 8690*q**2*z wrt i? 120*i**2*q*z + 25495830*q**2*z Find the first derivative of 43*j**3 - 22*j**2 - 8307*j - 12084762. 129*j**2 - 44*j - 8307 Find the third derivative of 15*f**4 + 104903*f**3 + 551855917*f**2. 360*f + 629418 What is the derivative of 176137275*l - 248099681 wrt l? 176137275 What is the third derivative of -19038221*k**3*x**3 - 4*k**2*x - 5*k**2 - 2702*k*x**2 - 2*x**3 wrt k? -114229326*x**3 What is the third derivative of 382870393*g**6 + 42503836*g**2 - 2*g + 2 wrt g? 45944447160*g**3 Find the third derivative of -5635276*q**4 - q**3 - 49325902*q**2. -135246624*q - 6 Find the second derivative of 8137760*j**2 + 2128365*j wrt j. 16275520 Find the second derivative of -5877*l**5 + 31287*l**4 + 185975744*l wrt l. -117540*l**3 + 375444*l**2 Find the second derivative of 6535048*n**3*q**2 + 2*n**3*q + 4845*n**3 + 2*n**2 - 3*n*q + n - q**3 wrt q. 13070096*n**3 - 6*q Find the second derivative of -29983287*c**3 - c + 425966064 wrt c. -179899722*c What is the derivative of -3769155*s + 2971050? -3769155 Find the third derivative of 612749576*u**4 - 731*u**2 + 6191*u - 4 wrt u. 14705989824*u Find the second derivative of -28965048*s**3 + 14235448*s wrt s. -173790288*s Find the third derivative of -19695516*a**5 - 39105105*a**2. -1181730960*a**2 Find the third derivative of 6053*r**4*x + 379*r**4 + r**3*x - 80*r**2*x + 23*r**2 + 12*r*x - 4*x - 13 wrt r. 145272*r*x + 9096*r + 6*x What is the first derivative of 134192581*p**2 + 38221912 wrt p? 268385162*p What is the second derivative of -1076282994*c**3 + 23272987*c wrt c? -6457697964*c What is the derivative of -56100*d*f**2 + d*f + 740*d - 17*f**2 + 1104*f - 1093 wrt d? -56100*f**2 + f + 740 Find the first derivative of -9*u**2 - 18025167*u + 337493333 wrt u. -18*u - 18025167 Differentiate -52904*d**2*q**3 - 115*d**2*q - 14932*q**3 + 462*q with respect to d. -105808*d*q**3 - 230*d*q What is the first derivative of 6*w**4 + 149*w**2 + 733*w - 8511432? 24*w**3 + 298*w + 733 Find the third derivative of 8268602*a**3 - 2*a**2 - 10383128. 49611612 What is the derivative of 3201558*n**2 - 3013592? 6403116*n What is the second derivative of -2*m**3*p - 109*m**3 - 4668*m**2*p + 34*m**2 + 7*m*p + 824358*p + 1 wrt m? -12*m*p - 654*m - 9336*p + 68 Differentiate 74*r**4 + r**3 - 2*r**2 - 5223*r - 12774608. 296*r**3 + 3*r**2 - 4*r - 5223 Find the third derivative of 57*f**2*w**3 - 425369*f**2*w**2 - 8*f*w**3 + 26422*w**3 + 7*w**2 + 5*w wrt w. 342*f**2 - 48*f + 158532 What is the first derivative of -3*x**3*z**3 + 450*x**3*z + 2*x**3 - 587818*x**2 - 95*z + 1 wrt z? -9*x**3*z**2 + 450*x**3 - 95 What is the first derivative of 494*f**3*p**3 - 776*f**2*p**3 - 250970697*p**3 wrt f? 1482*f**2*p**3 - 1552*f*p**3 What is the second derivative of -13302037*q**2 + 41926698*q? -26604074 Find the third derivative of 33961132*x**3 + 2*x**2 - 14110*x. 203766792 Find the first derivative of -1976145*j**2 - 16728013. -3952290*j Find the second derivative of -5937745*b**2*s + 9*b*s - 578*b - 2*s - 885 wrt b. -11875490*s What is the third derivative of -2*g*h**4 - 1327*g*h**3 - 1169759*g*h + h**4 + 154*h**3 + 41*h**2 wrt h? -48*g*h - 7962*g + 24*h + 924 What is the third derivative of -59640438*p**3 + 10863*p**2 - 19*p + 9 wrt p? -357842628 What is the second derivative of -79256*a**4 + 32*a**3 - 2*a**2 + 1309136726*a? -951072*a**2 + 192*a - 4 Find the third derivative of -16065*c**6 - 343*c**3 - 54018970*c**2. -1927800*c**3 - 2058 What is the second derivative of -3260*q**2*s**3 + 2590*q**2*s**2 + 201*q*s**3 + q*s - 326*s**3 + 18 wrt q? -6520*s**3 + 5180*s**2 Find the second derivative of 5626208*h**2 + 7470353*h wrt h. 11252416 What is the second derivative of -39426243*u**3 - 38686468*u wrt u? -236557458*u Differentiate -a**3*l - a**3 - 5*a**2*l**2 + 8325*a + 131266*l + 124 wrt l. -a**3 - 10*a**2*l + 131266 What is the first derivative of -6247*k*o**2 - 4*k*o - 1245*k - 26*o**2 - o + 4062 wrt o? -12494*k*o - 4*k - 52*o - 1 Differentiate -6*y**4 - 12698139*y**3 - 3*y - 123592445 with respect to y. -24*y**3 - 38094417*y**2 - 3 What is the third derivative of -3*a*l*x + 51*a*x**3 + a*x**2 + 13011*l**3*x**3 - 31911771*l**3*x**2 + l*x**4 wrt x? 306*a + 78066*l**3 + 24*l*x What is the derivative of 14969867*s - 2580546? 14969867 What is the first derivative of 221299*d**3 + 178*d**2 + 131006026 wrt d? 663897*d**2 + 356*d Find the second derivative of -2*i**2*x**2 + 46*i**2*x + 32964*i**2 + 2*i*x**2 + 9241028*i*x wrt i. -4*x**2 + 92*x + 65928 Differentiate 37*k*t**2 - 2871467*k + 64933*t**2 wrt t. 74*k*t + 129866*t Differentiate 8*i*k**2 - 21*i*k - 48610037*i - 5155*k**3 with respect to k. 16*i*k - 21*i - 15465*k**2 Find the second derivative of -368602185*f**2*q*t**2 - 708*f*q*t**2 + f*q*t - 1345*f - t**2 wrt f. -737204370*q*t**2 Find the first derivative of 29566525*q**3 - 4302474. 88699575*q**2 Find the third derivative of -7409*n*y**5 - 159*n*y**3 + 31*n*y**2 + 21*n*y - 7*n + 3*y**2 - 3*y wrt y. -444540*n*y**2 - 954*n Differentiate -435*i**3 - 680945*i**2 - 99488723. -1305*i**2 - 1361890*i What is the derivative of -473429524*z**2 + 88357678 wrt z? -946859048*z What is the third derivative of 27*p**4*y - 4*p**4 - 200*p**3*y + p**3 - 2*p**2 + 112321*y wrt p? 648*p*y - 96*p - 1200*y + 6 Find the third derivative of -95336610*f**3*n + 3170*f**2*n - 2*f**2 - 131*f*n wrt f. -572019660*n What is the first derivative of 8941637*q - 877536? 8941637 What is the second derivative of 219385604*j**2 - 7*j + 564377 wrt j? 438771208 What is the third derivative of 110654192*y**3 - 60*y**2 - 47*y + 538 wrt y? 663925152 What is the third derivative of -17341602*h*w**4 + 147609665*h*w**2 - w**4 wrt w? -416198448*h*w - 24*w What is the first derivative of 39813*b**2*l**4 + 529*b**2 + 528*l**4 - 11257 wrt l? 159252*b**2*l**3 + 2112*l**3 What is the third derivative of 363*s**5 - 17*s**4 + 143*s**3 - 9*s**2 - 4*s + 21893? 21780*s**2 - 408*s + 858 Find the second derivative of -319179858*x**2 + 273755478*x. -638359716 Differentiate 2*h**3 - 556666*h**2 + 3*h + 7119601 with respect to h. 6*h**2 - 1113332*h + 3
Sort 1/142393, 1/3, 0.4, -4, -5. -5, -4, 1/142393, 1/3, 0.4 Put 0.1, -1/3, 4964, -1/6 in ascending order. -1/3, -1/6, 0.1, 4964 Put 14, -43, -37.8, -5 in decreasing order. 14, -5, -37.8, -43 Sort -1597, 102, 6 in decreasing order. 102, 6, -1597 Sort -1, -31, -4, 1, -0.15 in decreasing order. 1, -0.15, -1, -4, -31 Put 1195, 41, 3 in increasing order. 3, 41, 1195 Sort -142, -3, -1, -1.6, -5/3. -142, -3, -5/3, -1.6, -1 Put -5, 0.01, -10809 in decreasing order. 0.01, -5, -10809 Put -36924, -2, 2/7, 5 in descending order. 5, 2/7, -2, -36924 Sort 5, -2, 3.7157. -2, 3.7157, 5 Sort -0.08, -1/47, 11, -1/5, -5 in ascending order. -5, -1/5, -0.08, -1/47, 11 Sort 1/4, -507/4, -0.2, -49 in descending order. 1/4, -0.2, -49, -507/4 Sort 2, 0.5, 8, 132, -3/4 in increasing order. -3/4, 0.5, 2, 8, 132 Sort -36, -4, 4183, 1, 3, 0 in descending order. 4183, 3, 1, 0, -4, -36 Put 5, 1337, -3 in ascending order. -3, 5, 1337 Sort 4, 5255, 3 in decreasing order. 5255, 4, 3 Put 4/5, 2/19, 3603, 4, 2 in decreasing order. 3603, 4, 2, 4/5, 2/19 Put 2, 1/5, -113813, -5, -4 in descending order. 2, 1/5, -4, -5, -113813 Put -12, 2, -2, 215 in ascending order. -12, -2, 2, 215 Sort -192, 0.3, 2/13, -43, -6/11 in decreasing order. 0.3, 2/13, -6/11, -43, -192 Put -165, -1, -17, -52 in descending order. -1, -17, -52, -165 Sort -0.072, -0.21, -1, 4/7 in increasing order. -1, -0.21, -0.072, 4/7 Sort -4, 0, -2, 1, -3, 66099 in decreasing order. 66099, 1, 0, -2, -3, -4 Sort 2, -17, -4, -3, 0, 13. -17, -4, -3, 0, 2, 13 Sort -3, -117, -19, -1 in descending order. -1, -3, -19, -117 Sort 0.44, 3, -12, -5, -4/3 in descending order. 3, 0.44, -4/3, -5, -12 Sort -4, -1, 18, 4, -3, 5 in increasing order. -4, -3, -1, 4, 5, 18 Put 0, 12, 0.2, -85, 4 in increasing order. -85, 0, 0.2, 4, 12 Sort -4, -199, 25, 64. -199, -4, 25, 64 Put 1/5, -0.3, -7, -84 in descending order. 1/5, -0.3, -7, -84 Sort -7, -4, 2/21, -0.3 in decreasing order. 2/21, -0.3, -4, -7 Put 14, 1/5, 5, 3, 7, 31 in descending order. 31, 14, 7, 5, 3, 1/5 Sort 1654, 5, -4, -3, 1 in decreasing order. 1654, 5, 1, -3, -4 Sort -3, 4, 534, -2 in ascending order. -3, -2, 4, 534 Sort 0.09, 41, -22 in descending order. 41, 0.09, -22 Sort 344, -5, 3, -18, 2/7 in increasing order. -18, -5, 2/7, 3, 344 Sort 0.6, 0.088, 0 in ascending order. 0, 0.088, 0.6 Sort 0.9, 1.09, -117 in decreasing order. 1.09, 0.9, -117 Put 36, -94, 15, -2/17 in increasing order. -94, -2/17, 15, 36 Sort 449, -5, -3, -6 in decreasing order. 449, -3, -5, -6 Put 1, -3, 2/31, -5, 57, -0.6 in decreasing order. 57, 1, 2/31, -0.6, -3, -5 Sort 8253, 2, -108 in ascending order. -108, 2, 8253 Put 88, -5, -2, 8 in ascending order. -5, -2, 8, 88 Put -0.09, 1/3, 0, -18057 in descending order. 1/3, 0, -0.09, -18057 Sort -28, 1, -6674 in decreasing order. 1, -28, -6674 Sort -179, -5, -1, 1, 19 in increasing order. -179, -5, -1, 1, 19 Sort 5, 142/9, 4, 1498 in ascending order. 4, 5, 142/9, 1498 Sort -1/4, 2, -0.354 in descending order. 2, -1/4, -0.354 Put -2585, 1/3, 5, -0.5, 0 in descending order. 5, 1/3, 0, -0.5, -2585 Sort 85, 0.1, -5, 4/7, 4. -5, 0.1, 4/7, 4, 85 Put -25, -4, 1, -35 in decreasing order. 1, -4, -25, -35 Put 0, 4, -1, -67, -78 in ascending order. -78, -67, -1, 0, 4 Sort -106/7, 1, 2/13, -5, -2/9. -106/7, -5, -2/9, 2/13, 1 Put 2, -548, -87 in ascending order. -548, -87, 2 Put 6, -188, -4, 2, 3 in descending order. 6, 3, 2, -4, -188 Sort 4, -1, 1112768, -5, 2, 1 in increasing order. -5, -1, 1, 2, 4, 1112768 Sort 3355, -1, 3/22, 2 in decreasing order. 3355, 2, 3/22, -1 Put -1, -11, -3, -18, 5, 13 in ascending order. -18, -11, -3, -1, 5, 13 Sort 1/732, 4, 2, -1/2, -2/11 in decreasing order. 4, 2, 1/732, -2/11, -1/2 Sort 47, 4, -73, 3, 0 in ascending order. -73, 0, 3, 4, 47 Put 5, 4.2, -53, -0.5 in decreasing order. 5, 4.2, -0.5, -53 Sort 0.3, -5, -558/7, -6/11 in decreasing order. 0.3, -6/11, -5, -558/7 Put 0.2, -0.4, -0.3, -196, 1, -2 in decreasing order. 1, 0.2, -0.3, -0.4, -2, -196 Sort -4, -0.1, 134, 2/9, -1.4 in decreasing order. 134, 2/9, -0.1, -1.4, -4 Sort 668, 132, 0 in descending order. 668, 132, 0 Put -0.3624, -38, 2, 1/3 in decreasing order. 2, 1/3, -0.3624, -38 Put 36, 0, -5, 11 in increasing order. -5, 0, 11, 36 Sort -1/3, -1/17, 1/3, 0, -13. -13, -1/3, -1/17, 0, 1/3 Sort 0, -32, -346. -346, -32, 0 Put -0.5, -1, 0.087, 13 in descending order. 13, 0.087, -0.5, -1 Put -2, -25, 2, -7, 1, -4 in decreasing order. 2, 1, -2, -4, -7, -25 Put -3, 0, 2, -42, -111/2 in ascending order. -111/2, -42, -3, 0, 2 Sort -0.4, 34, 12.3. -0.4, 12.3, 34 Sort -58, 4, 67, 5, 0 in descending order. 67, 5, 4, 0, -58 Sort 0, 0.5, -29, 81, 2/7, 1 in increasing order. -29, 0, 2/7, 0.5, 1, 81 Sort -1725, 3, -6, -1, -3 in increasing order. -1725, -6, -3, -1, 3 Sort 43, 7, -3, 9, -5. -5, -3, 7, 9, 43 Sort 218, -0.022, 3.4. -0.022, 3.4, 218 Sort 0, 2, -5, 7973 in descending order. 7973, 2, 0, -5 Sort 5/3, 136, 2.877 in descending order. 136, 2.877, 5/3 Put 39, -0.2, 4/5, 12 in decreasing order. 39, 12, 4/5, -0.2 Sort 17, -6494, -4. -6494, -4, 17 Sort 82, -14, 16 in descending order. 82, 16, -14 Put 3, -399, -6/5, 2.1 in increasing order. -399, -6/5, 2.1, 3 Sort 3/799, -1/2, 3/238 in descending order. 3/238, 3/799, -1/2 Sort -3, -2, -11, 3, 0, -6 in descending order. 3, 0, -2, -3, -6, -11 Put -4, 0.07, -1/3, 3, -2, -12.15 in decreasing order. 3, 0.07, -1/3, -2, -4, -12.15 Put 11, 4, -18, -185 in increasing order. -185, -18, 4, 11 Put -13, -76, 3, 1 in increasing order. -76, -13, 1, 3 Put 3/14, 2/5, -20/49, -0.4 in decreasing order. 2/5, 3/14, -0.4, -20/49 Sort 6, -3, 23, -39 in increasing order. -39, -3, 6, 23 Put -4, 19, 27, 694 in ascending order. -4, 19, 27, 694 Sort -4, -34, -676, 4 in descending order. 4, -4, -34, -676 Sort 1/7, -15, 2.3, 1 in ascending order. -15, 1/7, 1, 2.3 Put -1, 7, 399, 3, -5 in increasing order. -5, -1, 3, 7, 399 Sort 3, 4, 0, -2, -18, 88. -18, -2, 0, 3, 4, 88 Sort 904, 1, 4 in ascending order. 1, 4, 904 Sort 0.07, -13, -0.003, -1, 1 in decreasing order. 1, 0.07, -0.003, -1, -13 Put 25576, -3, -2, -5 in decreasing order. 25576, -2, -3, -5 Sort -5, 4, 1/6, -180, 2/19. -180, -5, 2/19, 1/6, 4 Sort 10, 2/11, -1646/9, 0 in ascending order. -1646/9, 0, 2/11, 10 Sort 518, 13, -5 in decreasing order. 518, 13, -5 Sort 7, 45, 1, -28, -3, -1. -28, -3, -1, 1, 7, 45 Sort 9, 5, 191 in descending order. 191, 9, 5 Put 112/19, -5, -2/157, -1/6 in decreasing order. 112/19, -2/157, -1/6, -5 Put 5, -4, 18, -5741 in increasing order. -5741, -4, 5, 18 Sort 34, 103, -2/13, -0.7, 1 in decreasing order. 103, 34, 1, -2/13, -0.7 Put 75, -190, -1 in ascending order. -190, -1, 75 Put 3592, 11, 4 in descending order. 3592, 11, 4 Sort -3, -6, 5, -2, -31. -31, -6, -3, -2, 5 Put -1, -146, 2, -3, -4, 3 in increasing order. -146, -4, -3, -1, 2, 3 Put -2/9, 3/19, -5 in increasing order. -5, -2/9, 3/19 Put 2/9, -4, 2/19, 0.21, 23 in decreasing order. 23, 2/9, 0.21, 2/19, -4 Sort 3, 5, 0.7, -89, -4/25. -89, -4/25, 0.7, 3, 5 Put 5.4, 4, -797 in decreasing order. 5.4, 4, -797 Put -4, 5, 57, -36 in increasing order. -36, -4, 5, 57 Put -1, 3, 73, 4, -5, 5 in increasing order. -5, -1, 3, 4, 5, 73 Put -1, -2, -14757 in descending order. -1, -2, -14757 Put 86, 21, -4, -0.2, 0.5 in increasing order. -4, -0.2, 0.5, 21, 86 Sort 0.06, -0.5, -1/5, 0.11, 3/4 in increasing order. -0.5, -1/5, 0.06, 0.11, 3/4 Sort 11, 9, 2, -679 in descending order. 11, 9, 2, -679 Sort 862, 31, -4 in decreasing order. 862, 31, -4 Put 9/2, -174, 3/8 in ascending order. -174, 3/8, 9/2 Put -5, -1, 116202 in descending order. 116202, -1, -5 Put -0.1, 5, 1/5, 1/11, 0.03, 1/6 in decreasing order. 5, 1/5, 1/6, 1/11, 0.03, -0.1 Sort 1, -5, -19, -77 in descending order. 1, -5, -19, -77 Sort 2, -2, -17346, -22 in ascending order. -17346, -22, -2, 2 Sort -2, 761, 4 in ascending order. -2, 4, 761 Put 2, -91, 0, -4, -17 in decreasing order. 2, 0, -4, -17, -91 Put -202, -5, 380, 7 in decreasing order. 380, 7, -5, -202 Put 35, 12, -2, -15, -3 in ascending order. -15, -3, -2, 12, 35 Sort -4, 5, 40, -1, 15, 9 in increasing order. -4, -1, 5, 9, 15, 40 Put -3/4, -33, -3/8, -3 in decreasing order. -3/8, -3/4, -3, -33 Put -34, -3, 4, -6, -2, -102 in descending order. 4, -2, -3, -6, -34, -102 Sort 1460, 2, -54. -54, 2, 1460 Put -6, 0, 1, -3, 3, -136 in increasing order. -136, -6, -3, 0, 1, 3 Put -5, 456, -37, 0.5, -2/13 in increasing order. -37, -5, -2/13, 0.5, 456 Sort 2/3, 3, 11/25, -22 in ascending order. -22, 11/25, 2/3, 3 Put -5, -4, 2, 146, -2, 11 in increasing order. -5, -4, -2, 2, 11, 146 Sort -8, 2, 8, 807 in decreasing order. 807, 8, 2, -8
(4400/2640)/((56/140)/((-16)/350)) -4/21 What is 236/5487*31*(18/472)/3? 1/59 What is (12190/80454)/((-30)/(-27))? 3/22 (10/21*(-70)/25)/(32/(-276)) 23/2 What is the value of 2014/9063*6/((-4)/18*-15)? 2/5 Evaluate ((-4)/(-5))/4*(-41560)/6234. -4/3 ((-2)/(-6))/(((-2)/24)/((-6)/(-7752)*38)) -2/17 What is the value of ((99/(-231))/(5/(-7)))/(86/(-10))? -3/43 What is ((-1218)/1624*4/3)/((20/(-22))/2)? 11/5 What is 28*(((-98)/(-245))/((-7)/15))/(1/1)? -24 What is ((-551)/(-1827)*9*-7)/(-1*1)? 19 ((-28)/10)/(32*(-160)/25600) 14 Calculate (160/(-280))/((96/392)/12). -28 What is the value of (12/(-30))/(24/(-42)*49/(-1330))? -19 What is 6*((-3200)/(-2304))/(2/12)? 50 What is the value of 1*(-183)/15*37*75/555? -61 What is the value of (-43731)/5805*45/(-3)? 113 (-2*(-12)/(-120))/((-3)/20)*(-207)/60 -23/5 What is ((-5)/((-80)/(-46)))/(11*8/(-704))? 23 What is the value of 4/2*-7*(-20)/(140/7)? 14 2/(72/14)*(-1434)/(-12428)*(-26)/(-7) 1/6 What is the value of (-36)/24*(-16)/880*10? 3/11 What is the value of (-4)/(16/6)*-3*(-6012)/(-22545)? 6/5 1428/14*-7*9/567 -34/3 Evaluate 2/(-18)*((-267)/178)/((-6)/8). -2/9 What is the value of -8*6/(6/3)*3478/(-2256)? 37 What is (((-65)/(-13))/((-9)/(-27)))/(-1)? -15 Evaluate (-4)/(24/153)*((-172)/(-344))/(3/12). -51 ((86/(-6))/(7/12))/(((-11524)/469)/86) 86 Calculate ((-32)/35)/((-1468)/(-3670))*7. -16 Calculate (99/231)/(24/(-1512)). -27 Evaluate (((-1833)/(-470))/(-39))/(2/(-510)*-3). -17/2 Evaluate (305375/131922)/((-10)/24). -50/9 What is -78*(18/(-18)*-5)/(-9)*6/(-5)? -52 What is the value of (12/410)/(22764/8866578)? 57/5 (17592/(-29320))/(9/(-35)) 7/3 What is the value of (300/1050*2/(-8))/(-1)? 1/14 What is the value of (6/14*((-517881)/(-234))/(-271))/(4/6)? -21/4 What is the value of ((22/(-396))/(2/8))/((-31244)/1926)? 1/73 What is the value of (1092/1820*10/(-33))/((-4)/(-14))? -7/11 Evaluate (90/(-990))/(-2*(77/7)/35090). 145 Evaluate ((-3157)/(-154))/41*4*(-270)/12. -45 Evaluate (486/(-54))/(36/160*4/(-96)*-20). -48 What is 48/(-14)*(-32676)/2334? 48 ((-10)/(-550))/(4/2*(-2)/(-40)) 2/11 Evaluate (-8*(-2)/(-2)*4700/(-47000))/(22/10). 4/11 ((-62832)/255)/(-44)*-5 -28 (1062/354)/((-12)/(-472)*-2*6/6) -59 1/3*100/5000*-40 -4/15 Calculate 180/(66*145/3828). 72 What is the value of (286/11)/((-1*12/10)/((-72)/(-480)))? -13/4 What is (675/(-1620))/(25/(-870))? 29/2 What is the value of 855/(198/(-22))*30/25*-1? 114 What is 279/(-310)*((-3)/(-2))/3*130/(-585)? 1/10 Evaluate 10/6*(1/(-5)*213)/((-577)/(-1154)). -142 What is the value of ((-50)/(-1)*(-2)/4)/(1145/1145)? -25 What is 8/8*14*2/798*-6? -4/19 (18/(-360)*16)/(12/10)*8 -16/3 (10/2400*32)/(((-4)/7)/((-1656)/84)) 23/5 What is the value of (-1)/((-15)/(-45)*(-138)/3634)? 79 Evaluate ((15/42)/((-5)/(-39)))/((-72)/(-84)). 13/4 Evaluate ((3535/(-8484))/((-5)/3))/((-1)/236). -59 What is the value of (-12)/11*143*164/9594? -8/3 (5/14*2)/(493/174*795/901) 2/7 What is -234*-16*(-15)/1440? -39 Calculate 32/(168/(-42))*(-36)/32*10/(-15). -6 What is (-24)/8*(-6)/9*53/1166? 1/11 81972/(-1188)*(-4)/(-6) -46 10*8*-4*(-8)/(-960)*15/(-290) 4/29 Calculate 10/(-60)*((-37130)/(-282))/(10/(-36)). 79 Calculate (1488/12*3/(-52))/((-351)/4563). 93 Evaluate (6/(-27))/(8/504). -14 What is 3*((-24)/360)/(2/(-10))*(-74)/2? -37 Evaluate ((1/(-3))/((-76)/(-57)))/(11/(-44)). 1 Calculate (5478/(-913)*22/(-16))/(-1*(-9)/(-24)). -22 Calculate (6*3/(-600))/(7503/(-40016)). 4/25 Calculate 3/28*(-768)/360*(-10)/(-8). -2/7 870/(-7250)*(-45)/54 1/10 What is the value of (((-8)/3)/(((-80)/36)/4))/((-153)/510)? -16 Evaluate ((-9)/(-105))/(579/560665). 83 What is the value of (-2*2)/(((7920/(-363))/(-20))/(-18))? 66 (676/39)/(-13)*56/(-78)*117/104 14/13 What is the value of 2*(462/(-24))/(-77)*1*-22? -11 What is (6768/(-308320))/(15/(-50))? 3/41 (-6)/(-27)*9*54/(108/12) 12 Calculate (-380)/25*-1*20*(-4)/32. -38 Calculate 394730/33834*((-10)/125)/(1/5). -14/3 ((-36)/522)/(14/(-7))*4/6*3 2/29 Evaluate (113/((-12995)/92))/(-6). 2/15 What is the value of (((-10488)/23)/19)/(-184)? 3/23 What is 1715/20*(-4952)/51996? -49/6 Evaluate 9024/(-78960)*(-2240)/4. 64 Calculate 488/305*1035/(-46). -36 (59/(-118)*-1)/((-2)/100) -25 Evaluate (((-315)/(-252))/(-2*180/48))/(6/64). -16/9 3070/(-12894)*((-2)/20)/((-3)/36) -2/7 (-35)/(-300)*6*((-200)/(-1008))/(-5)*-3 1/12 What is 2*((-1269)/162*42/(-49))/((-6)/21)? -47 What is the value of (-2038)/(-10190)*10/(-2)? -1 Calculate ((-12)/12)/(3*(-289)/153). 3/17 15000/(-3375)*-15*(-30)/125 -16 Calculate (-306)/(-34)*272/612. 4 (-8)/10*(-3)/(((-34749)/(-135))/(-33)) -4/13 What is the value of ((-19404)/(-756))/((-28)/48)? -44 What is ((-4)/(-10)*((-540)/154)/(-9))/((-10)/(-105))? 18/11 What is the value of ((-20)/(-22)*(-187)/(-51))/(((-392)/(-42))/(-14))? -5 Evaluate ((-4)/(-5))/((-180)/(-150))*15/(-2). -5 Calculate ((-1)/(-5)*9)/(24/(-14)*(-42504)/10560). 6/23 ((-3474)/(-579))/(4/(-6)) -9 Evaluate ((-15)/9*(-28701)/(-148820))/((-5)/(20/18)). 1/14 (-252)/56*(-1645)/1269 35/6 What is the value of -9*(-690)/2484*(-1)/((-2110)/(-8))? -2/211 What is (((-9)/3)/((-243)/(-81)))/(6/(12/29))? -2/29 Evaluate (-118)/2065*84*30/(-72). 2 What is 5894580/161812*(-7)/(-5)? 51 What is (1*(-2)/(-60))/(6/(-14208)*-148)? 8/15 Calculate (-632)/(-10)*13660/10928. 79 (160/2730)/((-212)/(-689)) 4/21 60*(-770)/13200*(-2)/(-154)*2 -1/11 Calculate 21/6*1128/(-14476)*55. -15 (24*3*1/(-42))/(61/(5246/(-344))) 3/7 Calculate ((-38)/3002*0)/((-2)/(2/2))*1. 0 ((150/(-12))/(-5))/(-4*(-3)/(-8)) -5/3 Evaluate ((-40)/(-8))/(-21*16/(-336)*(-3)/24). -40 (-69)/(13248/(-1600))*((-4)/(-20))/((-68)/24) -10/17 Calculate ((-2)/2076)/((-175)/52500*-25). -2/173 What is the value of (53382/91140)/((-3)/(-210))? 41 What is ((99/1760*-8)/(1/(-4)))/(23/(-1265))? -99 What is ((-5425)/2170)/(((-560)/(-6))/(-8))? 3/14 (10400/20)/(-40)*3/(-15) 13/5 Calculate -2*(-42)/120*(-1544)/(-51338). 2/95 Evaluate -2*((-510)/136)/(55/(-66)). -9 Calculate (((-34632)/(-138417))/(-26))/(8/(-116)). 6/43 What is 85/(-10)*(-72)/((-486)/(-27))? 34 Calculate -2*(2/20)/((-1596)/38*(-1)/5). -1/42 ((-291)/4)/(378/17136*-34) 97 What is (1/(-11))/(-36*(-56)/(-643104))? 29 What is the value of 55*(-11352)/(-47300)*2/(4/15)? 99 Evaluate ((-8)/182)/((4080/1260)/68). -12/13 Evaluate (9/5)/(331/(-4965)). -27 Calculate 14/((-308)/(-2475))*-3*(-1)/(81/(-9)). -75/2 Calculate ((-8)/(-3))/2*353/(614926/1608). 16/13 Evaluate (((-25)/50)/(33/33))/(2/(-8)*-25). -2/25 What is the value of (3/(-18))/(2996/970704)? -54 What is the value of ((-51562)/(-18415))/((-9)/20*2)? -28/9 Evaluate (45/(1710/38))/(((2/(-2))/1)/(-5)). 5 (74/(2442/(-363)))/(33/(-279)) 93 (30450/720)/(-203)*9/30 -1/16 (204/8)/51*(-20)/410 -1/41 What is the value of 143/(-33)*23772/7358? -14 Calculate (((-12)/66)/(27/(-297)))/((3/(-3))/(-15)). 30 What is ((-8)/2940*12)/(1866/4665)? -4/49 What is the value of ((-14)/(-42))/(518/(-444))? -2/7 Evaluate -4*(-88)/110*(-240)/256. -3 What is the value of (-22)/4389*6*40/80? -2/133 Evaluate ((-2502)/(-6)*(-30)/(-54))/(20/(-12)). -139 Calculate 8757/695*3/(-36)*(-18)/21. 9/10 Evaluate 42*4*(441/42)/21. 84 127/(4*(-5)/60)*1*(-168)/504 127 What is the value of (-1490)/(-6705)*1134/9? 28 Calculate (-16*38/1368)/(82/(-9)). 2/41 (-122)/(-6)*136/(5712/126) 61 (32/26)/((-17)/7514*-34) 16 What is the value of 850/8075*(-798)/105? -4/5 Calculate (1/(-3))/(3/16*36). -4/81 -69*-27*(-34)/(-2754) 23 Evaluate ((-1936)/(-352))/((-33)/(-198)). 33 (-4632)/8685*315/(-6) 28 Evaluate (((-8)/((-2016)/(-12)))/(20/(-7)))/((-15)/24). -2/75 What is the value of (-335)/(-134)*(-2)/(-40)*568? 71 What is the value of 1/197*9242/9242? 1/197 Evaluate (-30)/(-1)*35/25*(-10)/(-35). 12 Evaluate (((-11)/55)/((-27)/(-135)))/((-2)/56). 28 Evaluate ((-440)/(-15))/(1824/4104). 66 What is ((-7)/10)/(37954/(-32532))? 3/5 (8/(-8))/(((-290)/220)/(-29)) -22 What is the value of (((-1)/1)/(-258))/(((-8023)/(-213))/(-113))? -1/86 What is the value of (327/((-279585)/(-228)))/(2/18*4)? 3/5 What is ((-89)/((-11748)/16))/(2/(-12))? -8/11 Calculate (3/((-18)/(-106)))/(8/22*43945/(-47940)). -53 What is (20/4)/((-245)/(-441))? 9 Calculate ((-588)/8)/(-7)*(-44)/(-77)*1829/354. 31 Calculate ((18*170/1224)/(5/3))/(9/(-12)). -2 What is the value of 1/((-1)/(-3))*336/2268? 4/9 Evaluate ((24/(-30))/(40/(-10)))/((-112)/160). -2/7 What is the value of (-6*2/35)/((-2286)/3810)? 4/7 Evaluate (((-70)/9)/((-104)/1872))/4. 35 What is the value of 112/56*4*(-17)/34? -4 What is ((-42)/98)/(1422/(-84))? 2/79 Calculate (3*(-1888)/(-295))/((-6)/(-10)). 32 Calculate (12/(1296/(-12)))/(5/315). -7 Calculate (-170280)/1419*3/24. -15 What is 802485/(-415404)*(-1)/((-15)/72)? -102/11 Evaluate (((-42)/(-45))/14)/((-51)/102)*-15. 2
Let f = 89 - 443/5. Let p = 812 + -813. What is the nearest to f in -8/9, p, -0.2? -0.2 Let c = 15 - 4. Let i = c - 7. Let k = -0.485 - -0.085. What is the nearest to 0.3 in -0.3, k, i? -0.3 Suppose 5*s = 4*a - 24, -a + 3*a + 3*s = 12. Suppose 5*v - a = 9. Let g be (-6)/(1*v/(-2)). What is the closest to 0.1 in g, 3, 0.1? 0.1 Let g = -32.8 + 33. Let q = 0 + g. Let n = -1 - -4. Which is the closest to -2/3? (a) 0.4 (b) q (c) n b Suppose -8*l = 9 - 25. Suppose 0 = l*d + k + 4*k + 16, -2*k + 8 = -4*d. Which is the closest to 0.2? (a) 3 (b) d (c) 1/10 c Let z = -3105/2 + 1582. Let p = -29 + z. Let t = -4.8 - -3.8. Which is the nearest to p? (a) t (b) 3 (c) -0.4 c Suppose 4*r - 196 = -84. Suppose -r*z + 30*z - 6 = 0. What is the closest to 2/5 in -3, 0.5, z? 0.5 Let q = 504493/151 - 3341. Let a be ((-326)/(-15))/((-32)/120*453). Let l = a + q. What is the nearest to 0 in l, 0.1, -1? 0.1 Let d = 0.1 - -0.9. Let p = -468 + 2807/6. Which is the nearest to -2/9? (a) p (b) d (c) 0.5 a Let j = 0.0697 - -0.4303. Which is the nearest to 2? (a) 0.2 (b) -4 (c) 0.6 (d) j c Let f be 1/6 + (-85)/(-30). Let r be 3 - 5 - 14/(-4). Which is the closest to 2? (a) -0.1 (b) r (c) f b Suppose -3*n = -4*y - 15, n + 25 = 6*n + y. Suppose -3*l = -n - 1. Which is the closest to 0? (a) -0.05 (b) l (c) -1/5 a Let r = 3.09 + -2.99. Which is the closest to r? (a) 3 (b) 0.4 (c) -2/3 (d) 1/6 d Let n = 93.1 - 65. Let m = 28 - n. What is the nearest to m in -2/19, -2/7, -2/11? -2/19 Let n = 0.4 + -0.46. Let t = 5569 + -5567. Which is the closest to t? (a) n (b) 5 (c) 1/3 c Let r = -503 + 508.03. Let h = r - 0.03. Let g(d) = 3*d**2 + 8*d - 6. Let n be g(-3). What is the nearest to -2/9 in n, h, 0? 0 Let v = -2/37 - 103/148. Suppose 5 = 3*j + 2*j. Which is the nearest to 0? (a) v (b) -6 (c) j a Let h = 0.396 - 0.596. Let g = 3 - 2. What is the nearest to -3 in g, -3, h? -3 Suppose -39 = -4*u + 9. Suppose 8*y + 12 = -u. What is the closest to -0.2 in -4/3, y, -1/3? -1/3 Let p = 1859 + -9294/5. Which is the nearest to 0.1? (a) -1/2 (b) p (c) -1/3 b Let h = 30/19 - 109/57. Let t be (-9)/10 - (-2)/5. Which is the closest to h? (a) t (b) 0.1 (c) 1/4 a Let l be -1 + (8/(-3))/(-2). Let p be ((-1)/(-40)*-2)/(138/10 - 14). Which is the nearest to l? (a) 0.2 (b) 5 (c) p c Let a = 55.7 + -55.9. What is the closest to 2 in a, -9, 4? 4 Let v = 0.042 + -0.112. Let u = -1.07 - v. Which is the closest to u? (a) -1 (b) 0 (c) 0.4 a Let q = 2261/11 + -206. Which is the nearest to -2/7? (a) -0.4 (b) q (c) 2/11 a Let o = -18 - -17. Let l be 53/(-17) + (-3)/o. Let c = 10 + -9. What is the closest to c in 0.1, 5, l? 0.1 Let a = 0.256 - 5.256. What is the closest to 1 in a, 0.1, 0.01? 0.1 Let g(n) = 2*n + 16. Let t be 2/(-7) - (15/21 + 5). Let l be g(t). Which is the closest to -3? (a) 1/5 (b) l (c) -2/11 c Let u = -94/9 - -197/18. Let o = 10.07 + -0.07. Let t = o - 7. Which is the nearest to u? (a) -4 (b) t (c) -1 c Let v be 6/24*(1 + -4 + 2). Let d = -0.9 - 0.1. What is the nearest to 0 in d, v, 5? v Let s = -2.2 - 1.4. Let v = -3.1 - s. Let u = 60 - 178/3. What is the nearest to 0 in v, 1/3, u? 1/3 Let i = -0.1 + 0.1. Let z = 7.38 + -6.68. Which is the nearest to i? (a) 0.5 (b) 3 (c) z a Let z = 0.6 + 1.4. Let g = 1.9 - z. Let r = 63 - 63.5. What is the nearest to g in 4, r, -1? r Let n = -21 - -29. Let s = n + -4. Let c be 44/110*5/(-16). What is the closest to 2 in c, s, 0.4? 0.4 Let n = 5 - 8. Which is the nearest to -0.3? (a) n (b) -2/3 (c) -3/4 b Let c(w) = -6*w**2 + 2*w. Let x be c(2). Let y be (-4)/(-8) + 5/x. What is the nearest to y in -5, -4, 2? 2 Let d = -440 + 439.94. What is the closest to 0.1 in d, 6, 2, 1/10? 1/10 Let j = -27 + 22. What is the closest to 0.2 in -3.9, -0.2, j? -0.2 Let w = -20.8 - -24. Let q = w + -3.1. Which is the nearest to 0? (a) -2/7 (b) q (c) -1/2 b Let l be (-2 - 0) + -3*(-4)/12. What is the nearest to l in -2, -29, -5? -2 Let g be 3 - 1299/(0 + 84/(-8)). Let z = -127 + g. What is the nearest to -2/3 in z, 1/2, 0? z Let y = 63 - 90. Let l = y + 26. Which is the nearest to l? (a) 1 (b) 5 (c) 2/5 c Let t be (-92)/368 + (-1)/(-2). Which is the nearest to t? (a) 4 (b) 0.5 (c) -3/4 (d) -1.6 b Suppose -y + 13 = 3. Let n = 29/3 - y. Let q = -3995 + 19976/5. Which is the nearest to -0.1? (a) q (b) n (c) 2 b Let m = 2033 + -2029. What is the nearest to 7/3 in m, -0.5, 0.4, 2? 2 Let w = 0.8 - -0.2. Let o = -40.34 - 0.66. Let j = o - -40.5. Which is the closest to -2/7? (a) w (b) j (c) -0.2 c Suppose -1275*h + 95 = -1270*h. Which is the closest to -2/3? (a) 5/4 (b) 4/7 (c) h b Let w = -0.1 + -0.3. Let z = 7.85 - 2.85. Which is the nearest to -2? (a) w (b) -4 (c) z a Let o = -1.719 - -1.519. What is the closest to o in 1.4, -1, -0.2? -0.2 Let g = 9.7 + -10. Let d = -0.8 - 0.2. Let w = -12589/20965 - -2/4193. Which is the closest to 1? (a) w (b) d (c) g c Let t be (1 - 1) + 2 - 0. Let l = 5 - t. Suppose 0*o = l*o. Which is the nearest to 0.1? (a) -1/2 (b) o (c) 2/3 b Let p = 34 - 39. Let x = -12.09 - -0.09. Let i = -11.7 - x. What is the closest to i in -0.5, 5, p? -0.5 Let g = 540 + -536. What is the closest to g in -3, 2/11, 0? 2/11 Let f = 2 - 6. Let o = -0.24 - -0.2. Let y be 4 + ((-336)/(-11))/(-8). Which is the closest to 0? (a) y (b) o (c) f b Let x = 0.2135 - 0.0135. Which is the closest to 2? (a) -1/6 (b) -1/8 (c) 2/13 (d) x d Let n = -1.28 + 1.68. Which is the nearest to 2/5? (a) 10/11 (b) n (c) -5 b Let p = 14/25 - 104/275. Let h(r) = r**2 + 5*r - 1. Let f be h(-5). Let l = 0.29 + -0.23. What is the closest to 2 in l, p, f? p Let u = 0.18 - 3.18. Let i = 2.3 - -0.7. What is the closest to 2 in i, u, -0.1? i Let v = 0.26 + 0.04. Let p = v + -0.7. Let u = -6 - -6.1. What is the nearest to 2/3 in u, p, 4? u Let n = -16 - -12. Let o be (-2)/(2 + n/1). Let b = 13.5 + -13. What is the nearest to o in -3, -3/4, b? b Suppose 0*n - 5*n - 65 = 0. Let q = -3220/9 - -358. Which is the nearest to n? (a) q (b) -1 (c) -4 c Let j be (4/9)/(44/(-33)). Which is the closest to -2? (a) -0.4 (b) 0.1 (c) 5 (d) j a Let g = -0.1 - -0.2. Suppose -5*y = 0, 3*y + 30 = -w + 3*w. Let l be -1*(-11)/(-15) - (-6)/w. What is the closest to -0.5 in l, g, -1? l Let m = -1.175 - -0.175. Which is the closest to 1/2? (a) m (b) -3 (c) -8/13 c Suppose 2*q = -2, -3*g - 3*q = -7*q - 10. Suppose 1 = 3*m - g. Let i = -4 + 7. Which is the closest to 0.1? (a) 0 (b) m (c) i a Let q = 0.4 + -0.5. Let d = -0.26 - -14.26. Let g = d + -13. Which is the nearest to g? (a) q (b) -0.2 (c) -5 a Let p = -50 - -249/5. Let g = 23 + -19. Let s = g - 4.4. Which is the closest to -1/2? (a) 0.3 (b) p (c) s c Let p = 47 + -101. Let w = p - -29. Let x = w + 24. Which is the nearest to 1? (a) -2 (b) x (c) 0.2 c Let d = 27.3 + -27. Which is the closest to d? (a) -0.3 (b) 6/11 (c) 1 b Suppose -2*q - 2 = -14. Let m(f) = -f**3 + 6*f**2 + 2*f - 4. Let t be m(q). Let w be 14/(-21) - t/(-3). Which is the closest to -3? (a) w (b) -5 (c) 0.5 b Let k = 1646.7 - 1647. Let i = 2 + -3. What is the nearest to 1 in k, i, 2/11? 2/11 Let y = 5.1 - 1.9. Let w = y - 3. What is the nearest to w in -0.5, -4, -3? -0.5 Let k = 2.3 + -3.26. Let s = -1.3 - k. Let h = s + -0.06. Which is the nearest to 2/3? (a) 3/5 (b) h (c) 4 a Let p be ((-2)/(-6)*-2)/((-32)/768). Let k be -12*7/(-3)*p/56. Which is the nearest to 1? (a) 1/6 (b) k (c) -1 a Let k = 27.5 + -27.4. Which is the closest to 2? (a) -2 (b) k (c) -0.1 b Let j = -227.6 - -228. Which is the closest to -1? (a) j (b) 1 (c) 5 (d) 33 a Suppose -z - 3*z - 3*x = -19, -3*z - 3*x + 15 = 0. Let a(d) = -16*d**2 - d. Let p be a(1). What is the nearest to 0.1 in p, 0.3, z? 0.3 Let u = -32/35 + 5/7. Let f = -15 - -15. Which is the nearest to f? (a) 3 (b) u (c) 1 b Let v = -0.5 - -1. Suppose -59*r = -53*r. Which is the nearest to -1/4? (a) v (b) -4 (c) r c Suppose -4*j + 8 = -0*j. Suppose -5*f = 3*x + 1 - 12, -5*x = j*f + 7. Suppose -12 = -f*w - d, d = -2*d. Which is the closest to 3/4? (a) 4 (b) w (c) -2/5 c Let o = -459.7 + 423. Let b = o + 37. What is the nearest to 1 in b, 4, -2/5? b Let g = 0.0304 - 0.4304. Which is the nearest to -2? (a) -3/4 (b) g (c) -5 a Let s = 1251 - 1251.3. Which is the closest to -0.1? (a) -2/3 (b) s (c) 0.024 c Let t = -29.5 + 29.3. What is the closest to 9 in -4, t, -3? t Let s = 3.973 - -0.027. Let v = 10.2 + -7. Let u = 3 - v. Which is the closest to u? (a) s (b) -5 (c) 1 c
Suppose -33*d - 116 = -149. Is -4/53 smaller than d? True Let g = 225 + 188. Let w be ((-3)/g)/((-38)/133). Are 0 and w nonequal? True Let u = 20434 + -20443. Which is bigger: -121 or u? u Let z = -705871798/9755 - -72360. Which is smaller: 1 or z? z Let d(p) be the third derivative of -13*p**4/24 + 40*p**3/3 + 38*p**2. Let c be d(6). Which is smaller: 15/8 or c? 15/8 Let j = -28 - -43. Suppose 0 = 9*s - j*s + 18. Suppose -b = -3*x - 2*x - 5, 0 = -2*b + s*x + 3. Which is greater: -1/17 or b? b Let k(b) = b**2 - 4. Let g(h) = h**2 - h - 4. Let y(z) = 5*g(z) - 4*k(z). Let d be y(6). Let s be d - (9/(-1))/((-3)/2). Is -7 greater than s? False Suppose 3*v = -2*r + 306, v + 6*r - 4*r - 106 = 0. Which is greater: 99 or v? v Suppose 4*m - 54836 = -5*a, 5*m = -1211*a + 1215*a + 68463. Does m = 13698? False Suppose 4*g - h + 4 - 22 = 0, h - 2 = 0. Suppose 2*l + 10 = 2*a, g*a - 14 + 1 = l. Let n be (1 - -2 - (-5)/(-4)) + a. Is 0 > n? False Let o = 11 - 14. Let i be o + ((-102)/(-9))/(-2). Suppose 12*h + 24 = -96. Is h >= i? False Let j(p) = 3*p**2 + 31*p - 20. Let u(a) = -a**2 + 8*a - 26. Let b be u(5). Let c be j(b). Is c greater than 0.11? True Let f be (124/8)/(-4 + (-69)/(-18)). Let q = 94 + f. Let z be (3 - (0 - -2)) + 1. Is z at least as big as q? True Let s be 296/36 - 2/9. Let v = s - 9. Suppose 2*n + 8 = 0, -3*i + 63*n = 64*n + 7. Is i greater than v? False Let b = -67 + 74. Suppose -4*p - x = -122 + 13, 3*p = 4*x + 77. Let m = -29 + p. Which is bigger: m or b? b Let h be 4 - 0/(-5 + 4). Suppose 2 = h*k + 10, 3*v - 4*k - 8 = 0. Which is smaller: v or 13/62? v Let g be 2/(-5) - (141/(-15) + 4). Suppose 20*h + g*o - 26 = 17*h, -3*o = -12. Suppose -8 = -8*v + 4*v. Are v and h equal? True Suppose 3*p + 630 = -3*l, -2*l + 6*p - 429 = 5*p. Let f = -213 - l. Which is smaller: f or 24/31? f Let q be 12/(-8) - (15/20)/(10/4). Let i = 2 + -2. Is q less than or equal to i? True Suppose 5 = 5*r, 2*f - r - 31 - 38 = 0. Suppose 79 = 3*s + b, 4*s - 63 = -5*b + f. Let n = s - 5. Is 21 equal to n? False Suppose 67*d + 57*d + 543 = -57*d. Is d at most -577? False Let y be 272/(-170) + (-1)/(-2)*(1 - -3). Is -2543 at most as big as y? True Suppose 0*g = -2*g + g. Let o be (6/33)/(9/(-27) - -1). Is g at most o? True Suppose 414*c - 382*c = 28896. Which is smaller: 905 or c? c Let h = 30280 - 30270. Suppose -o + 40 = 4*o. Suppose -v - 5*s - o = 0, -6 = -3*v + 3*s + 42. Which is bigger: h or v? v Let l be 0 - 4 - (-23 - -18). Let v be -1*(l*4 + (-13250)/3310). Is v != -1? True Let x(q) = 56*q - 83. Let u be x(8). Suppose 4*w = -11 - u. Which is greater: 0 or w? 0 Suppose -17*a + 96 = -20*a. Let h = 958 - 2969/3. Is h at most a? False Let p = -104257/195510 - 1/13034. Let c = 0.7 - -0.2. Let j = 0.1 + c. Is j equal to p? False Let v = -9098 - -16519. Which is bigger: 7420 or v? v Let o = 6671/1986 + -17/662. Suppose 5*k + 20 = -0*k. Let q = k - -6. Which is smaller: o or q? q Let o = 96755 - 1839481/19. Is -2/9 > o? True Let n = -0.617 + 3.535. Let v = n + -2.9. Let r = -18.018 + v. Which is smaller: -0.1 or r? r Let o be (1 + -1)/(-4)*(0 - 1). Suppose -3*k + 15 = 4*u, 2*k + 3*u + 0 - 11 = o. Let n be (-69)/12 - -3 - 6/(-2). Which is smaller: k or n? n Suppose 0 = 17*n + 7*n + 192. Let i be (6/4)/(n + (-47)/(-6)). Which is bigger: i or 2? 2 Let m be ((-260)/(-48))/(3510/23760). Suppose -4*z + j = 215, -5*z - 5*j - 197 = -z. Let c = z + 89. Is m != c? True Let j(y) = -y**2 + 40*y + 1269. Let r be j(-49). Is -3092 at most r? True Suppose -400 = -7*b + 62. Let r be b/(-10) - 36/(-60). Let z be (r/(-35))/(4/(-20)). Is 0 at most z? False Let n = 56/61 + -4770/5063. Let y = 7/69 - 10/23. Is y smaller than n? True Let k(s) = 2*s + 20. Let l be k(0). Let m be -15*(64/l - 4). Let x = m + -13. Which is smaller: x or -2? -2 Let u = -96 - -164. Let x = -9773 + 9768. Which is greater: x or u? u Let w(p) = -2*p**3 + 3*p**2 - 7*p - 7. Let r be w(4). Let s = -118 - r. Does s = -27/7? False Let l(o) = o**3 + 2*o**2 - 1. Let g be (-27)/18 + (-81)/(-2). Let y = g - 40. Let z be l(y). Do 4/7 and z have the same value? False Suppose -5*z - 5*c - 35 = 0, z - c = -0*c - 11. Let u = 11141 - 11151. Which is smaller: z or u? u Let q = -177 + 135. Let y be 5 - (-198)/q - 9/7. Is y != 3/64? True Suppose -5*r = 3*g - 212, 0 = -g - g - 3*r + 142. Let l = g + -98. Is l <= -24? True Let x be (1646844/(-120))/31 - (-6)/(-20). Is -445 greater than or equal to x? False Let h(q) = -q - 4. Let v be h(-5). Let a = -3/2141 + -3079/858541. Which is smaller: a or v? a Suppose 5*a - 2*j = 3 + 13, 4*j - 20 = -3*a. Let r(d) = -3*d + 17. Let b be r(a). Let c be (1/6)/(4 - (-85)/(-20)). Are c and b equal? False Let k = 19018 - 19185. Which is smaller: k or -164? k Let n = 2/331 - 1996/1655. Let f = 48 - 50. Are n and f non-equal? True Let c = 47 - 50. Let p be c/(-222)*(-28)/35. Is p smaller than 1? True Let m = -13661/30 + 911/2. Which is bigger: m or -602? m Suppose 5*i - 8*s - 11007 = -9*s, 0 = 4*s - 28. Are i and 2202 equal? False Let j = 7253/3 - 616493/255. Let y be (-3)/2*(-2)/(-3). Is j at least y? True Let g = -0.1144 - 0.3456. Let w = 102 - 105. Which is greater: g or w? g Let a = 17 - 15. Suppose -6*j = -a*j - 4. Let h be 3/((-30)/28) - -4. Is j smaller than h? True Suppose 15*c = 39 - 204. Let d be 3 + -1 + 6/c*3. Suppose 0 = -u - u - 2. Is d smaller than u? False Let t be (4/2)/(-6 - 2712/(-453)). Let p = t - -152. Do p and -4/87 have different values? True Let g be (-56)/(-10) - 6/10. Suppose -65 = g*d + s, -s - 2*s = -2*d - 26. Let j be (725/(-50) - (-7)/2) + 0. Which is greater: d or j? j Let r be (-6)/117*45/100*(-8)/798. Which is bigger: 1 or r? 1 Suppose -3*x = 3*p + 27, 8*x = 4*p + 4*x + 12. Let g be p/(8 - (6 + 0)). Is -0.3 not equal to g? True Suppose 0 = -5*u + 9 + 16. Suppose j = 4*z - 20, 4*j - u*z + 20 = -4*z. Which is smaller: -45/13 or j? j Let i = -3801 - -163457/43. Suppose -5*t = 4*n + 15, 38 = 5*n - 5*t + 23. Which is greater: n or i? i Let f be 3 + (-272)/46 + 5. Let s = f + -1273/621. Is s <= 0.02? False Suppose 2*w - 1 - 8 = 5*u, 4*u - 4*w + 12 = 0. Let x be (81916/(-84))/((-1)/u). Let h = x + 975. Is -1 at least as big as h? False Let r(l) = l**3 + 13*l**2 + 14*l + 28. Let s be r(-12). Let w be -2*60/16 - s. Let v = w + 13. Which is smaller: 3 or v? v Let r = 13 + -28. Let z = -16.55 - r. Let n = -0.15 + z. Is 0 > n? True Let a(q) = q**2 - 4*q - 31. Let f be (-7 - (-76)/12) + (-26)/(-3). Let h be a(f). Which is smaller: -3/332 or h? -3/332 Suppose 0 = -122*l + 118*l + 724. Suppose 719 = -6*f - l. Is -452/3 > f? False Suppose 0 = -g + 3*t - 9 + 5, 5*t = 15. Suppose -3*a = g*i + 22, 9*i - 12*i - 16 = -a. Which is greater: a or 1/219? a Let r = 206.6 + -22.6. Let a = r + -186. Which is greater: a or -0.06? -0.06 Suppose 0 = -65*g + 60*g + 20. Suppose -g*m - 8 = 0, z + m - 4*m - 5 = 0. Let s be 12/(-2)*(-2)/(-124). Which is smaller: z or s? z Let k = 8268 + -8268. Is k at most -47/137? False Let o be (7/(-3))/((-7)/126). Suppose -4*n + 2*n = -o. Suppose 11*h - 56 = n. Is h >= 7? True Suppose -407 = -4*t - 207. Let r be t/12 + (-31 - -27). Which is smaller: r or 1? r Suppose 0 = -2*v + v + 3. Suppose -4*a + 22 - 121 = -v*q, 0 = -a + 2*q - 21. Let b be (-53 + 54)*(-28 + 1 + 0). Do a and b have different values? False Let t = 3022 + -3008.27. Let a = t - 11. Which is smaller: -2/5 or a? -2/5 Let d be 693744/(-49567) - (-15 + 1). Is 0.1 greater than d? True Let g be 251/(-166) + 48/32. Let p = 12 - 34. Let f be (-13)/(143/(-2)) + (-18)/p. Is g at least as big as f? False Let n be 0*((-14)/77 - 100/660). Which is bigger: 2/11557 or n? 2/11557 Let n be (-2)/(-11) + 35192/44. Suppose 0*u - n = 4*u. Let z be 0 + (34/u - 1/(-4)). Is -1 greater than z? False Let f = 4333 - 4332. Is -2/47 >= f? False Suppose 3*b = 2*t + 42, -t + 4*b = -5*t - 64. Let h be t*(1 - 3)/((-32)/(-8)). Is h at most as big as 11? True Let r = -6870 - -9518. Which is greater: 2647 or r? r Let k be (-36)/(-8)*12/27. Suppose 0 = s + k*r + 11, 0*r + 16 = -4*r. Is 4 < s? False Suppose -21*p - 1872 = 38*p - 7*p. Which is smaller: p or -103? -103 Suppose 56*i - 13*d - 2885 = 61*i, 0 = -5*i - 5*d - 2845. Which is smaller: i or -1? i Let w be 108/(-72)*8/(-30). Is w at least as big as -13545? True Let l(n) = 9*n - 3*n**2 + 15*n + 18*n - 24*n**3 - 41*n. Let x be l(-1). Is x at most 22? True Suppose -3*p - 918 = -93. Suppose 9*u + 317 = -2158. Is p less than or equal to u? True Suppose -14*g + 2*g = -5136. Suppose 96 = 436*h - g*h. Let j = 5623/532 + 24/133. Which is smaller: h or j? j
Let k(r) = 54*r - 44. Let x(j) = 5*j + 1. Calculate -k(z) + 4*x(z). -34*z + 48 Let t(p) = 6*p - 4. Let k(g) = 7*g - 3. Let r = -11969 + 11963. Determine r*t(o) + 5*k(o). -o + 9 Let w(d) = 3*d**2 + 2*d. Let i(k) = -6*k**2 - 7*k - 22. Determine -i(c) - 3*w(c). -3*c**2 + c + 22 Suppose 0 = -0*k - 3*k - 15. Let n(j) = -6*j**2 - j. Suppose 6*f - 309 = f - 339. Let g(u) = 7*u**2 + u. Determine f*n(v) + k*g(v). v**2 + v Let x = -170 - -169. Let q(i) = -2*i**3 - i**2 - 7*i - 6. Let s be q(x). Let g(u) = 5*u + 4. Let h(m) = 1. Give s*h(b) - g(b). -5*b - 2 Let w(q) = -17*q**2 + 4*q + 376. Let p(f) = -28*f**2 + 7*f + 750. Calculate -3*p(i) + 5*w(i). -i**2 - i - 370 Let d(h) = 823*h**3 - 46*h**2 - 3*h. Let y(v) = -412*v**3 + 20*v**2 + v. What is -3*d(u) - 7*y(u)? 415*u**3 - 2*u**2 + 2*u Let n(l) = -2*l - 2. Let d be 16/4 + 2 + (-3 - 1). Let k(q) = q**2 + 8*q + 8. Give d*k(z) + 9*n(z). 2*z**2 - 2*z - 2 Let n(l) = 16*l**3 + l**2 - 7*l + 7. Suppose -4*j + 2 = -r - 5*j, 5*j - 2 = r. Let w(z) = 5*z**3 - 2*z + 2. Calculate r*n(u) + 7*w(u). 3*u**3 - 2*u**2 Let a(k) = -k**3 + 42*k**2 - 156*k + 151. Let l be a(38). Let z(g) = -4*g + 4. Let v(n) = -n**2 + n - 1. Determine l*z(q) - 2*v(q). 2*q**2 + 2*q - 2 Let d(t) = -t. Let c(s) be the second derivative of -3*s**3/2 - 7*s**2/2 - 2*s + 329. Give -c(z) + 6*d(z). 3*z + 7 Let n(r) = -r**2 - r. Suppose 0 = -21*k + 15*k + 60. Let b(g) = k + g**2 - 9 - 2*g - 1. Determine -b(f) + 2*n(f). -3*f**2 Let k(i) = 103*i + 1169. Let l(q) = -86*q - 1167. What is 5*k(m) + 6*l(m)? -m - 1157 Let y(a) = 3909*a - 8. Let j(c) = 2601*c - 5. Calculate -8*j(l) + 5*y(l). -1263*l Let u(s) = 11*s**3 - 4*s. Let k(w) be the third derivative of -w**6/10 + w**4/8 - 10*w**2 + 42. Give -4*k(d) - 3*u(d). 15*d**3 Let s(q) = -4*q**2 - 6*q - 3. Suppose -v = 39 - 40. Let j(k) = -4 + k + 4 + k**2 - v + 2. Give -6*j(o) - s(o). -2*o**2 - 3 Let l(m) = 6*m - 7. Let h be 6/(-8) + 20/(-80). Let f(g) = -2*g + 1. Let z(s) = h*l(s) - 2*f(s). Let d(p) = p - 1. What is -3*d(u) - z(u)? -u - 2 Let q(v) = 33*v**2 - 14*v - 6. Let k(n) = 12*n**2 - 4*n - 2. What is 17*k(g) - 6*q(g)? 6*g**2 + 16*g + 2 Let m(w) = -16*w**2 + 6*w + 7. Let p(f) be the third derivative of f**5/12 - f**4/12 - f**3/3 - 724*f**2. What is 2*m(c) + 7*p(c)? 3*c**2 - 2*c Let u(m) = 2*m**2 - 30*m - 1050. Let j(l) = -l**2 + 19*l + 699. Calculate -8*j(b) - 5*u(b). -2*b**2 - 2*b - 342 Let w(x) = -93*x**3 + 15*x - 11. Let g = 10501 - 10490. Let h(d) = 47*d**3 - 8*d + 6. Calculate g*h(v) + 6*w(v). -41*v**3 + 2*v Let k(t) = -12*t - 8. Suppose -19*y + 102 = -13*y. Let x be (-12 - -3) + 6 + (-2 - 1). Let h(l) = -4*l - 3. Give x*k(r) + y*h(r). 4*r - 3 Let y(o) = 2*o + 6. Let a(r) = -9*r - 13. Let s(d) = 3*d + 2*d + 12 - 3 - 3 + 1. Let l(w) = -4*a(w) - 7*s(w). Suppose -12 - 4 = -4*g. Give g*y(j) - 9*l(j). -j - 3 Suppose -6*w + 456 = 6*w. Let h(l) = 114*l - w*l - 37*l - 40*l. Let y(b) = b - 1. What is 5*h(c) + 2*y(c)? -3*c - 2 Let q(c) = -6*c**3 - c**2 - 10*c - 174. Let y(m) = -7*m**3 - 2*m**2 - 12*m - 172. Give 6*q(d) - 5*y(d). -d**3 + 4*d**2 - 184 Suppose 0 = 100*r - 6*r + 658. Let j(d) = -3*d + 9. Let o(f) = -f + 3. Let g be (0 + (-8)/6)*24/(-16). Calculate g*j(q) + r*o(q). q - 3 Suppose 42*q - 36 = 39*q. Let y be (q/16)/(-7*1/(-28)). Let g(h) = -4*h**2 + 5*h - 5. Let d(v) = -7*v**2 + 9*v - 9. Determine y*d(k) - 5*g(k). -k**2 + 2*k - 2 Let d(o) = 2*o**2 + 6*o + 5. Let g(p) = -3*p**2 - p + 3. Let j(x) = -4*x**2 + 3*x + 11. Let u(n) = -2*g(n) + j(n). What is 3*d(m) - 4*u(m)? -2*m**2 - 2*m - 5 Let o(b) = 11*b**3 + 8*b**2 - 8*b - 11. Let p(q) = -4*q**3 - 3*q**2 + 3*q + 4. Let f be -4*((-9)/(-45) - 133/140). Determine f*o(v) + 8*p(v). v**3 - 1 Let b(x) = x - 1. Let u(q) be the second derivative of -100*q - 3/2*q**3 + 0 + 4*q**2. Determine -14*b(h) - 2*u(h). 4*h - 2 Let q(y) = 142766*y**3 + 22542. Let m(b) = 18*b**3 + 3. What is -7514*m(n) + q(n)? 7514*n**3 Let l(w) = -7*w - 4. Let x be (-9 - -7)/((171/18)/(-19)). Let q(r) = -6*r - 4. What is x*q(o) - 3*l(o)? -3*o - 4 Let l(g) = -15 - 2*g - 8 - 6 - 5 + 42. Let m(i) = 3*i - 2. Let w(s) = 10*s - 8. Let p(j) = 16*m(j) - 5*w(j). Calculate -4*l(d) + 3*p(d). 2*d - 8 Let x(b) = -8*b**2 + 16*b - 74765398 + 74765398. Let y(j) = -1. Let d(o) = -o + 1. Let v(z) = -d(z) - y(z). Determine 16*v(k) - x(k). 8*k**2 Let z(j) = 2*j**2 - 1. Let q(b) = -3*b**2 + 2*b + 4. Let a be q(-3). Let k = a - -22. Let n(t) = -30 + t + 6*t**2 - 22 - 33 + 82. What is k*z(r) + 2*n(r)? -2*r**2 + 2*r + 1 Let l(y) = 46*y**3 + 16*y - 1. Let k(i) = -4*i**3 - 22*i**2 + 19*i. Let s be k(1). Let b(r) = -15*r**3 - 5*r. What is s*b(m) - 2*l(m)? 13*m**3 + 3*m + 2 Let o(y) be the third derivative of 1/2*y**3 - 1/60*y**5 + 51*y**2 + 0 + 0*y + 1/8*y**4. Let h(s) = 8*s**2 - 26*s - 26. Calculate -6*h(g) - 52*o(g). 4*g**2 Let w(o) = 8*o**2 + 2. Let m(l) = -15*l**2 + 114*l + 2 - 256*l - 6 + 143*l. Calculate -4*m(u) - 7*w(u). 4*u**2 - 4*u + 2 Let j(g) = 2*g**2 + 7*g + 5. Suppose 0 = 220*a - 218*a - 4. Let m(f) = -a*f**2 - 4*f + 3 - 5 + f**2 - 6*f + 7*f. Calculate -6*j(l) - 15*m(l). 3*l**2 + 3*l Let u(c) = -44*c**3 + 2*c**2 + 4*c - 3. Let p(n) = -89*n**3 + 5*n**2 + 10*n - 8. What is -2*p(z) + 5*u(z)? -42*z**3 + 1 Let u(i) = -i**2. Suppose 50 = 35393*y - 35343*y. Let n(o) = -o**2 - o. What is y*n(d) - 3*u(d)? 2*d**2 - d Let p(x) = -2*x**3 + 478*x**2 + 13. Let s(k) = -k**3 + 239*k**2 + 6. Give 6*p(f) - 13*s(f). f**3 - 239*f**2 Let b be (11/3)/((-11)/((-429)/13)). Let y(s) = -35*s - 2. Let q(g) = -12*g - 1. Give b*q(w) - 4*y(w). 8*w - 3 Let f(v) = -77*v - 6. Let w(z) = -64*z - 56. Let c(y) = -196*y - 151. Let j(p) = -3*c(p) + 8*w(p). Give -5*f(k) - 6*j(k). -71*k Let c(w) = -1. Let y(d) = -2*d**3 + 2*d**2 - 2*d - 2. Let f = -13726 + 13725. Calculate f*y(x) + c(x). 2*x**3 - 2*x**2 + 2*x + 1 Let k = 18748 - 18749. Let c(q) = -4*q**3 - 21*q**2 + q - 1. Let i(d) = d**3 + d**2 - d + 1. Give k*c(z) - i(z). 3*z**3 + 20*z**2 Let m(c) = 7*c + 3. Let q be 527 - (-10 - (4 - 10)). Let f(g) = 532 - q + 2*g - g. What is -5*f(a) + m(a)? 2*a - 2 Let k(h) = -h - 1. Let y(g) = 4*g + 3. Let c = -10932 + 10931. Let j be 1*-4 + (6 - 7). Determine c*y(u) + j*k(u). u + 2 Let r(j) = -10*j**2 - 27*j + 5. Let x(m) = -23*m**2 - 51*m + 8. Determine -9*r(a) + 4*x(a). -2*a**2 + 39*a - 13 Let h(y) = -5*y - 3. Let b(j) = 16*j + 9. Let z = -3446 + 3443. What is z*b(m) - 8*h(m)? -8*m - 3 Let q(h) = 9*h - 4. Let d be (-15)/(-55) + 126/22. Let m(n) = -4 - d + 2 + 26*n - 3. Calculate -6*m(r) + 17*q(r). -3*r - 2 Let d(w) be the first derivative of w**2/2 + w + 1. Suppose 25 = -168*k + 173*k. Let h(b) = -12 + 337*b + 9 - 1 - 341*b. What is k*d(u) + h(u)? u + 1 Let m(i) = -i**2 + i - 1. Let x(p) = 9*p - 10008*p**2 - 5 - 5*p + 0*p + 9998*p**2. What is 5*m(t) - x(t)? 5*t**2 + t Let w(l) = l + 16. Let q(d) = -37 + 119 + d - 74. What is 5*q(n) - 2*w(n)? 3*n + 8 Let x(a) = 308*a + 18. Let c(w) = -2*w - 5. What is 3*c(h) + x(h)? 302*h + 3 Let h(j) = 13*j**3 - j. Let n(q) = -1644*q**3 - 2*q. What is 3*h(r) - n(r)? 1683*r**3 - r Let l(n) = 579*n**2 + 18*n - 582*n**2 + 2*n**3 - 26*n - 5. Let o(h) = -h**3 + 2*h**2 + 4*h + 3. Calculate 3*l(z) + 5*o(z). z**3 + z**2 - 4*z Let y = -7 + 10. Let d(c) = 3 - 1 + 4*c - y*c + 0. Let u(q) be the first derivative of q**2 + 2*q + 133. Give -3*d(n) + 2*u(n). n - 2 Let g(u) = u - 1. Let z(b) = 6*b - 5. Let p(i) = -5*g(i) + z(i). Let r(c) = -3*c - 2. Suppose 8*d = 248 - 256. What is d*r(n) - 6*p(n)? -3*n + 2 Let k(c) = c**3 - 7*c**2 + 27*c - 2. Let v(b) = b**2 + 9*b - 1. Calculate -2*k(s) + 6*v(s). -2*s**3 + 20*s**2 - 2 Let n(l) = -6*l**2 - 3*l + 3. Let b(a) be the second derivative of -7*a**4/12 - a**3/2 + 2*a**2 - a - 769. Give -5*b(g) + 6*n(g). -g**2 - 3*g - 2 Let f(l) = -l**2 + 164*l - 1811. Let b be f(152). Let a(z) = 18*z - 13. Let g(o) = -9*o + 6. Determine b*g(y) + 6*a(y). -9*y Let m(b) = -46*b**3 + 131*b**2 - 7. Let p(z) = 19*z**3 - 65*z**2 + 3. Determine 3*m(g) + 7*p(g). -5*g**3 - 62*g**2 Let x(f) = -5737*f**3 - 4*f**2 + 4*f + 14. Let t(s) = -28684*s**3 - 22*s**2 + 21*s + 77. Determine 2*t(p) - 11*x(p). 5739*p**3 - 2*p Let d(c) = -14*c**3 + 4*c**2 + 4*c + 5. Let v(a) = 15*a**3 - 5*a**2 - 5*a - 6. Suppose -1040*f + 1166*f - 630 = 0. Calculate f*d(x) + 4*v(x). -10*x**3 + 1 Let j(n) be the first derivative of -n**2/2 - 2*n + 437. Let r(k) = 4*k + 2. Let y(p) = -5*p - 3. Let d(t) = -6*r(t) - 5*y(t). What is -2*d(m) - 3*j(m)? m Let p(k) = -28*k + 3. Let y(l) = 611*l - 205*l - 204*l - 201*l - 1. Give p(i) + 3*y(i). -25*i
Three letters picked without replacement from mnmjkj. Give prob of picking 1 n, 1 m, and 1 j. 1/5 Three letters picked without replacement from {z: 2, u: 2, v: 1, c: 2, k: 1}. What is prob of picking 1 u and 2 c? 1/28 What is prob of picking 1 f and 1 k when two letters picked without replacement from dddkdkdkfff? 9/55 Calculate prob of picking 1 m and 1 k when two letters picked without replacement from kkkmuuukuummmuuuumm. 8/57 Three letters picked without replacement from {u: 2, z: 2, c: 6, i: 3}. Give prob of picking 3 i. 1/286 What is prob of picking 3 o when three letters picked without replacement from ohhhhhhhhhhoho? 1/364 Four letters picked without replacement from ccuucccjuukcjxocu. Give prob of picking 1 x, 1 u, 1 j, and 1 k. 1/238 Three letters picked without replacement from {k: 1, c: 6, n: 4}. What is prob of picking 3 n? 4/165 Three letters picked without replacement from {a: 1, f: 1, m: 1, r: 2}. Give prob of picking 2 r and 1 f. 1/10 Two letters picked without replacement from {b: 16, z: 4}. What is prob of picking 2 b? 12/19 Two letters picked without replacement from {r: 4, y: 1, i: 1, x: 1, c: 1}. What is prob of picking 1 x and 1 r? 1/7 Calculate prob of picking 3 u and 1 t when four letters picked without replacement from {t: 4, u: 16}. 448/969 Two letters picked without replacement from xslxwwq. Give prob of picking 2 l. 0 What is prob of picking 3 l and 1 h when four letters picked without replacement from {l: 12, h: 5, m: 1}? 55/153 Three letters picked without replacement from {i: 2, u: 1, s: 3, k: 3, e: 2, l: 1}. Give prob of picking 2 k and 1 l. 3/220 Two letters picked without replacement from {a: 6, v: 1, u: 1, l: 3, c: 1}. What is prob of picking 1 a and 1 v? 1/11 Two letters picked without replacement from dmpkpkmmmmppmmpmmpmp. Give prob of picking 1 p and 1 d. 7/190 Four letters picked without replacement from {m: 11, g: 1}. Give prob of picking 3 m and 1 g. 1/3 Calculate prob of picking 2 b when two letters picked without replacement from ffbffffffffffffffffb. 1/190 Two letters picked without replacement from cncrnurnecnn. Give prob of picking 1 c and 1 e. 1/22 Calculate prob of picking 2 q when two letters picked without replacement from {q: 15, o: 3}. 35/51 Two letters picked without replacement from {o: 8, a: 5}. What is prob of picking 2 a? 5/39 Calculate prob of picking 1 o, 1 t, and 1 c when three letters picked without replacement from {c: 1, j: 2, t: 4, o: 3}. 1/10 What is prob of picking 2 z when two letters picked without replacement from zaaaza? 1/15 Three letters picked without replacement from cazac. What is prob of picking 1 z and 2 c? 1/10 Four letters picked without replacement from zzsszzszzzzzsz. What is prob of picking 1 z and 3 s? 40/1001 What is prob of picking 1 q and 1 b when two letters picked without replacement from {q: 4, d: 1, b: 2}? 8/21 Calculate prob of picking 1 k and 1 f when two letters picked without replacement from {e: 2, s: 2, r: 2, f: 1, i: 5, k: 1}. 1/78 Two letters picked without replacement from yyyyyyyyyyyyyyppyyyp. What is prob of picking 2 p? 3/190 Three letters picked without replacement from llllcllllllllclllc. What is prob of picking 3 l? 455/816 Calculate prob of picking 3 d when three letters picked without replacement from {o: 5, b: 1, v: 1, w: 4, d: 3}. 1/364 Three letters picked without replacement from {l: 9, e: 5}. What is prob of picking 3 e? 5/182 Two letters picked without replacement from {c: 3, t: 6, g: 4, x: 4}. Give prob of picking 1 c and 1 t. 9/68 Calculate prob of picking 3 x when three letters picked without replacement from xxxxxxx. 1 Two letters picked without replacement from ezkvzkdezzvkjevvzded. Give prob of picking 1 d and 1 j. 3/190 Two letters picked without replacement from bbwbbhuwhhwbuobthbwb. Give prob of picking 1 u and 1 h. 4/95 What is prob of picking 2 s when two letters picked without replacement from sppbbbsbp? 1/36 What is prob of picking 2 v when two letters picked without replacement from vsses? 0 Calculate prob of picking 2 q when two letters picked without replacement from {q: 3, l: 5, p: 3, v: 1}. 1/22 What is prob of picking 1 a, 1 w, and 1 h when three letters picked without replacement from wzwahh? 1/5 Calculate prob of picking 1 u and 1 q when two letters picked without replacement from {r: 3, u: 3, m: 7, j: 1, q: 4}. 4/51 What is prob of picking 1 a and 1 f when two letters picked without replacement from {a: 1, f: 19}? 1/10 What is prob of picking 2 p and 1 u when three letters picked without replacement from mupmpupmpup? 2/11 What is prob of picking 2 c, 1 e, and 1 k when four letters picked without replacement from {c: 2, r: 1, d: 2, e: 1, k: 1, x: 1}? 1/70 Calculate prob of picking 1 o and 2 x when three letters picked without replacement from xxog. 1/4 Calculate prob of picking 3 f and 1 d when four letters picked without replacement from ddffff. 8/15 Two letters picked without replacement from ghyngghg. Give prob of picking 1 g and 1 h. 2/7 Two letters picked without replacement from hgrgbzhhghrygrrryghr. Give prob of picking 2 y. 1/190 Three letters picked without replacement from xxxxxxfxxovxxo. What is prob of picking 2 o and 1 x? 5/182 Four letters picked without replacement from {x: 3, v: 4}. Give prob of picking 1 x and 3 v. 12/35 What is prob of picking 3 e and 1 u when four letters picked without replacement from uejjjejujuuejjej? 4/455 Four letters picked without replacement from {d: 2, f: 2, w: 1, k: 2, h: 1}. Give prob of picking 1 f, 1 w, 1 h, and 1 d. 2/35 What is prob of picking 1 z, 1 c, and 1 y when three letters picked without replacement from {l: 5, i: 1, c: 1, y: 3, o: 2, z: 3}? 9/455 Two letters picked without replacement from {v: 13, e: 6}. Give prob of picking 2 e. 5/57 Three letters picked without replacement from tdttxfsvxttss. Give prob of picking 2 t and 1 v. 5/143 What is prob of picking 1 k and 1 u when two letters picked without replacement from {j: 1, b: 1, u: 1, k: 2}? 1/5 Calculate prob of picking 1 t and 1 g when two letters picked without replacement from qttyqqggqctgtqyqqc. 4/51 Four letters picked without replacement from {s: 11, o: 5, x: 1, g: 3}. Give prob of picking 1 g and 3 s. 33/323 Three letters picked without replacement from {s: 2, l: 4, m: 4, w: 1, x: 1, n: 3}. What is prob of picking 1 w, 1 l, and 1 m? 16/455 Calculate prob of picking 3 g when three letters picked without replacement from {b: 4, y: 2, g: 10}. 3/14 What is prob of picking 1 m, 1 q, and 2 z when four letters picked without replacement from gmqqshzhzqqhhhqm? 1/182 Three letters picked without replacement from {h: 2, b: 1, c: 2, s: 1, q: 1}. What is prob of picking 1 c and 2 h? 2/35 Two letters picked without replacement from {u: 1, n: 1, b: 4, k: 2}. What is prob of picking 2 k? 1/28 What is prob of picking 1 g and 1 a when two letters picked without replacement from aaagg? 3/5 Calculate prob of picking 2 q when two letters picked without replacement from {n: 1, j: 2, q: 6, u: 4, h: 7}. 3/38 Calculate prob of picking 1 c and 1 g when two letters picked without replacement from {g: 1, c: 2, t: 1}. 1/3 Two letters picked without replacement from {z: 1, t: 4, w: 2, q: 4, y: 8}. What is prob of picking 1 y and 1 q? 32/171 Two letters picked without replacement from {a: 2, v: 3}. Give prob of picking 2 a. 1/10 Two letters picked without replacement from eyttytyeete. What is prob of picking 1 y and 1 t? 12/55 Four letters picked without replacement from piiclifiiclccifcif. Give prob of picking 1 p, 2 i, and 1 c. 7/204 What is prob of picking 2 l when two letters picked without replacement from {r: 4, k: 13, l: 3}? 3/190 Calculate prob of picking 2 u, 1 m, and 1 b when four letters picked without replacement from bbmmuzmzummmzummmmu. 10/323 Two letters picked without replacement from oopoooopoooo. What is prob of picking 2 o? 15/22 Two letters picked without replacement from oofoooooffo. Give prob of picking 2 o. 28/55 Four letters picked without replacement from {e: 3, c: 2, i: 1, q: 3, b: 1, z: 1}. What is prob of picking 1 e, 2 c, and 1 b? 1/110 Calculate prob of picking 1 v and 3 p when four letters picked without replacement from ccevppp. 1/35 What is prob of picking 1 m and 2 l when three letters picked without replacement from {l: 7, m: 2}? 1/2 Three letters picked without replacement from uuu. Give prob of picking 3 u. 1 Three letters picked without replacement from nnsssnn. What is prob of picking 3 n? 4/35
Let z = 1 + 12. Solve -2*g + 26 = 4*y, -3*y = -0*y - 5*g + z for y. 4 Let m(t) = 0*t + 8*t - 2*t**2 - 2*t + 3 - t**3 - 1. Let y be m(-4). Solve 0 = -5*j - y, -5*j - 27 = -4*k - 9 for k. 2 Let l be 2 + -3 + 0 + 3. Solve 5*g = l*c - 4, 4*g + 4*c - 4 = 4 for g. 0 Suppose -2*d - 2*d = -80. Suppose 2*c + 8 = 0, 35 = -0*h - 5*h + 5*c. Let b = h + d. Solve 0*t + 10 = 2*t + 4*s, 0 = t + 3*s - b for t. -3 Suppose -14*g = -11*g - 12. Solve -z = -4*h + 15 - g, -2*h + 4 = 0 for z. -3 Let a = -17 - -12. Let x = a - -8. Solve -4*j - x*q - 18 = -j, -12 = 5*j - q for j. -3 Let k(h) = -6*h - 1. Let j be k(-1). Let w be (-40)/(-6)*(8 - j). Solve 4*f + 2*g = -g + 5, 0 = -f - 5*g - w for f. 5 Let a(r) = -r**3 + 6*r**2 - 5*r + 3. Suppose 3*s = -0*s + 9. Suppose -2*v + 13 - s = 0. Let x be a(v). Solve -4*h - 10 = 2*u, 0*h - 10 = -u + x*h for u. 1 Let k(f) = f**2 - 2*f + 2. Let r be (2 + -3)*-1 - -5. Let l be k(r). Solve 0 = -2*t + j, 5*t + 5*j - l = j for t. 2 Let k(c) = -4*c + 56. Let i be k(14). Solve s + j + i + 2 = 0, -3*s + 4*j = -15 for s. 1 Let s(u) = -u**2 - 6*u. Let v(r) = r**3 - 3*r**2 - r + 1. Let d be v(2). Let o be s(d). Suppose o*m - 6 = 4. Solve 0 = 3*a + m*l - 7, -5*l + 3 = 4*a - 11 for a. 1 Let b be 0 + -2 - (2 - 6). Solve -a = -3*c - 4, 0 = b*a - 5*a + 3*c + 6 for a. 1 Let a(v) = -5*v + 3. Let m be a(-1). Solve -4*x - 3*y - 4 = -2*x, 4*x + y + m = 0 for x. -2 Let z(p) = -p**3 - 7*p**2 - p - 4. Let j be z(-7). Solve 3 = -3*o - 3*d, -o = -5*o - j*d - 4 for o. -1 Suppose -5 = -b, i + 4*b + 6 - 42 = 0. Solve -5*d + 12 = -w, 4*w - i = -3*d + 9*w for d. 2 Suppose 4*w + 5*u = 18, 8*w + 8 = 7*w + 5*u. Solve -2*r - w*r = 5*j, 0 = r - 2*j for r. 0 Let x(z) = z**2 + 3*z - 5. Let y be x(-5). Solve y*t + q - 10 = 2*q, 3*q = 0 for t. 2 Let t = -41 - -43. Solve v + 4*q + 9 = -2*v, 0 = -v + t*q + 7 for v. 1 Suppose -5*l = -l - 20. Let g be (-42)/(-8) + (-1)/4. Suppose g*m = m. Solve 5*p + m*p - 15 = -5*c, -l*c = 3*p - 7 for p. 4 Let f(g) = g**2 - 3*g + 1. Let c be f(4). Let x(b) = -4*b - 4. Let n be x(-3). Let l = -6 + n. Solve u = -5 + 2, -11 = -l*q + c*u for q. -2 Let b(v) = 2*v + 11 - 2*v + v. Let n be b(-5). Solve -5*y + 21 = n, 4*y + 4 = -4*c for c. -4 Let k = -19 + 22. Solve m + k*u - 9 = 0, 2*m + 4*u - 2*u = 10 for m. 3 Let f(b) = -b**2 - 5*b + 3. Let p be f(-5). Solve 2*z = 4*n - 4, -4*z + p = -4*n - 1 for n. 3 Suppose 3 = -q - 4*n - 3, n - 4 = -3*q. Solve c = -2*s + q, 4*s + 3*c - 3 - 5 = 0 for s. -1 Let y(h) = -h**3 + h**2 + 5. Let i be y(0). Suppose 4*f - 56 = 3*r, 4*r = 2*f - 21 - 37. Let b = 2 - r. Solve l - 6 = -5*z + i*l, -b = -3*z + 5*l for z. -2 Let h(q) = -q + 3. Let t = -10 - -5. Let c be h(t). Let o be (-9)/6*4/(-3). Solve 20 = 6*p - p, -c = 2*i - o*p for i. 0 Let r = 19 - 14. Let p be r*(-3 + 7)/4. Solve p*y = k - 0*k + 2, 0 = 5*k + 3*y + 10 for k. -2 Let d(t) = t**2 + 6*t - 16. Let a be d(-8). Suppose -5*j - 5*r = 10, 0 = -j + 5*r + 26 + 2. Solve j*m = 4*z - 17, a = -2*m + 2*z - 7*z + 4 for m. -3 Let f be -37 - (1 - 6/2). Let d = 23 + f. Let o be (8/d)/(4/(-162)). Solve -3*q + 10 - o = -4*v, 27 = 2*q + 5*v for q. 1 Let d be -9 + 11 - (1 + -3). Suppose -p = 4 - 6. Solve r = -p*r + d*x - 20, -4*r - 10 = -2*x for r. 0 Let o(s) = 3*s - 19. Let q be o(7). Suppose -4*h - 1 = -9. Solve -2*j = 10, -q*r - 1 = h*r + j for r. 1 Suppose -6 = -2*x - 0. Solve -32 = -4*p - 3*s, -p + s = x*s - 13 for p. 5 Suppose 4 + 5 = 3*t. Suppose -w + 0*h = -t*h - 16, -12 = 2*w + 5*h. Solve j + 17 = 4*c - 0*c, -c - 7 = -w*j for c. 5 Suppose 7 = 5*h - 3. Suppose d = h*d - 2. Suppose d*m = m. Solve -2 = -4*f - a + 2, -3*f - 4*a + 3 = m for f. 1 Let z be 4/8*3*2. Let b = -5 + z. Let i be (b/(-3) + -1)*-6. Solve -j - 3*n - 1 = i*n, n = -2*j + 7 for j. 4 Let q(b) = 5*b**2 - 2 + 4*b - 3 - 2*b - b**3. Let d = 47 + -42. Let c be q(d). Solve 5*a = 15, 2*a = -4*l + c*a - 1 for l. 2 Let q(c) = c**3 + 3*c**2 + 1. Let h be q(-3). Let f be ((-9)/6)/((-6)/16). Solve 0 = -2*p - 5*a + h - 19, 0 = -f*p - 3*a - 22 for p. -4 Let o(v) = -v**3 - 9*v**2 - 7*v + 7. Let p be o(-8). Let z(b) = -4*b. Let l be z(p). Solve 4 = -l*r, -t + 3*t - 4 = -2*r for t. 3 Let h(c) = -3*c**3 - 2*c**2 - 2*c - 1. Let u be h(-1). Suppose 4*w = u*w + 12. Solve -5*d - 20 = y, 5*y - 3*d - 46 = -w for y. 5 Let s be 2/5 - 13/(-5). Suppose -5*m = -2*k + 5 - 4, -s*k - m = -10. Solve -4*r = -2*x + 26, -3*x - r - k*r = 11 for x. 3 Let s be 23/5 - (-10)/25. Suppose -s*w - 5 = 0, 0 = -2*i + i + 2*w + 5. Solve -5*c = 3*j + 11, -i*j + 0*c - 3*c - 9 = 0 for j. -2 Suppose -5*u - w - 15 = 0, 0 = -0*u - 5*u - 4*w - 15. Let c be (3/4)/u*-20. Solve 2*r - r = -c*k + 3, 3*k + 7 = -5*r for r. -2 Let t = -13 + 28. Let h = -10 + t. Solve 4*o - h*y + 0 + 21 = 0, -5*y = -25 for o. 1 Suppose 4*m - 3*m = -4. Let z be m/(-2) + 0 + 0. Solve -5 = -z*w + w - 2*s, w + s - 3 = 0 for w. 1 Let r(t) = -t**2 + 6*t - 6. Let o be r(4). Suppose o*j + 4 - 14 = 0. Solve -4*y + 4*b - 4 = 0, 0 = -2*y + j*b - 8 - 0 for y. 1 Let v = 23 - 21. Solve 0*t + 5*b = -v*t - 13, 3*t + b = 0 for t. 1 Let x = 40 + -36. Solve 4 = 4*f + 4*g, x*f + g = -0*g + 7 for f. 2 Let o be -6*-6*4/16. Solve 3*x - 3 = 3*c - 0*c, c + o = 5*x for c. 1 Let f be 2*(-3)/12*-4. Solve 5*c - 4*a + 21 = -2, f*a = 5*c + 19 for c. -3 Let y(c) = -c**2 - 10*c + 11. Let d be y(-11). Solve 7 + d = 2*u - 3*n, -5*n - 14 = -u for u. -1 Let n(t) = t**3 - t**2. Let v be n(1). Solve -2*q + 9 + 12 = -5*p, 2*p - 2*q + 6 = v for p. -5 Let k(h) = h**3 + 3*h**2 + h + 1. Let g be k(-2). Let r(i) = -15*i - 178. Let x be r(-12). Solve 2*t = 4*s - 22, 5 = 2*t + g*t + x*s for t. -1 Suppose 2*i = n + 3*n - 98, -2*n - 4*i = -44. Solve 0 = 3*y - 3*l + n, 20 = y - 2*y + 5*l for y. -5 Let x be -2 + 4/(16/(-12)). Suppose 30 = -3*l - 3*k, -3*l + 3*k - 4*k = 20. Let c be (8/l)/(1/x). Solve 3*d - 4*d - 2*n - c = 0, 0 = -5*d - 2*n for d. 2 Let d(h) = h**2 + 6*h - 4. Let s be d(-8). Let r be 32/s + (-8)/12. Solve 2*w - p - p - r = 0, 4*w + p = -6 for w. -1 Let v = -6 - -4. Let g = 6 + v. Suppose -2*x - 3*m = 3*x - 23, -4*m = -g*x + 12. Solve -k + 9 = -4*k, 2*k + 22 = -x*a for a. -4 Suppose 5*d = 3 + 12. Solve 4*u + 10 = d*v - 2*v, -v + 3*u = -8 for v. 2 Let x = -19 + 13. Let w be 18/4 - 3/x. Solve k + 5*n = 1, -w*k - 10 = -4*n + 14 for k. -4 Let v be (-7)/(-14) + (-33)/(-6). Solve -3*z - v*k = -k - 5, -3*k = -z - 17 for z. -5 Let i be 3*-2*(-3)/6. Suppose q - 4*w = 3, 4*q + 8*w - 75 = 3*w. Let g = 0 + 3. Solve -g*c - q = -i*k, 5*k = 5*c - 3*c + 25 for c. 0 Let r(c) = -c**2 - 8*c - 7. Let f be r(-4). Solve 3*a + 2 + f = -p, a + 4*p = 0 for a. -4 Let c be 9/4 - (-9)/(-36). Solve 4*s = 2*f + c, 0 = 5*s - 5*f + 6 - 16 for s. -1 Suppose 5*b = 3*x + 23, 2*b + 7 = 3*b - 3*x. Solve b*a + 5*d = -29, 0 = -3*a - 3*d - 22 + 4 for a. -1 Let l = 24 - 24. Solve 4 = 4*j - 3*g, l = -3*j - g + 8 + 8 for j. 4 Let n be (4/(-6))/((-6)/18). Suppose 6*f = n*f + 12. Solve -f*l = 2*v - 10 - 4, 5*l = 3*v - 2 for v. 4 Suppose 0 = 4*r + r - 55. Suppose -p - 1 = -3. Solve 0 = 3*a + p*u - 5*u + 6, -4*u + r = -3*a for a. 3 Let o be ((-24)/(-10))/(6/20). Suppose -o*l + 55 = -3*l. Solve 3*z + l = 4*f, 0*f + f - 5 = 0 for z. 3 Suppose -3 = k - 7. Solve k*x - 20 = 0, -h + 4*x - 26 = h for h. -3 Let q = -187 + 188. Solve 0 = 5*s + 3*g - q, 2*g + 2 = 4*s + 4*g for s. 2 Let x be (3/6)/((-3)/6). Let y = 6 + x. Solve -w + 5*j = 4*w, y*j = -20 for w. -4 Suppose -3*v + 5 + 10 = 0. Let x(b) = -4*b. Let d be x(-1). Suppose -d*p = -3*p - 2. Solve -5*t + v*k = 0, -5*t - p*k = -0*t + 35 for t. -5 Let l be 2*(2 + (-14)/4). Let j = 5 + l. Solve -3*t + g = -1, 4 = t - j*g + 12 for t. 2 Suppose -3*p = -4*l - 2, l - 6 = -3*p + 1. Solve 2 = -p*t - 2*u, u + 3*u + 13 = 5*t for t. 1 Let p(a) be the first derivative of a**3/3 - a**2/2 - 2*a - 1. Let n be p(3). Solve -3*m + 10 = -5*b, 5*b + 10 = m - n*m for m. 0 Suppose -6*x = 5*l - 2*x - 15, 2*l - 6 = -x. Solve -2*s = -l*j - 7*s, 0 = -5*s for j. 0 Suppose -k + 6*k + o - 15 = 0, -2*k - 4*o + 24 = 0. Let b(h) = -4 + h - 2 + 0. Let i be b(9). Solve i*n + k = -2*s, -33 = -4*s - s + 2*n for s. 5 Let r = -7 - -13. Let t be (2 + -1)/(2/r). Solve 2*m + 3*g - 21 = -2*m, -3*m = -t*g for m. 3 Suppose -l + 4*l - 2*s = 14, -l - 2*s - 6 = 0. Suppose -76 = l*i + 44. Let n be i/(-18) - 2/6. Solve 0 = -r - g - 2, 4*r + 1 + 21 = n*g for r. -4 Suppose 4*p + 2 = 5*p. Suppose -5*u = 6*m - p*m - 21, 0 = 4*m + 4. Solve -u*z = 4*c + 5, -1 = -c - 5*z - 6 for c. 0 Let d be 4/14 + (-66)/(-14). Suppose -19 = -d*t - 9. Let s be ((-12)/(-10))/(12/40). Solve -6 = 5*g - 3*o - 1, 26 = -s*g - t*o for g. -4
What is the third derivative of 10818*c*s**2*y**2 - 94*c*s**2*y - 18258*c*s*y**3 + 26*c*s*y**2 - 32*s**2*y**3 - 4*y**3 wrt y? -109548*c*s - 192*s**2 - 24 Find the third derivative of 4627265*b**5*w - 7334*b**2*w - 20*b - 1 wrt b. 277635900*b**2*w Find the third derivative of 56497869*o**6 - 10*o**3 + 949396146*o**2. 6779744280*o**3 - 60 Find the third derivative of 55698*f**5 + 231*f**4 + 3*f**3 - 1096*f**2 - 12*f - 67. 3341880*f**2 + 5544*f + 18 Find the third derivative of -1089219*w**4 - w**3 - 798*w**2 - 1054 wrt w. -26141256*w - 6 Differentiate 15200591*k + 12204547 wrt k. 15200591 Find the third derivative of 11*m**4*y**3 - m**4 + 43586*m**3*y + 66596*m**2*y - 64*m*y**3 wrt m. 264*m*y**3 - 24*m + 261516*y What is the third derivative of 13847*t**3*w + 3433*t**3 + t**2*w + 8857*t**2 - t*w - 2*t - 780*w wrt t? 83082*w + 20598 What is the derivative of 11*i**3*v + 60*i**3 - 15*i**2 - 7615618*i*v + 2*i + 463 wrt v? 11*i**3 - 7615618*i What is the third derivative of -14068821*g**3 + 187105*g**2 wrt g? -84412926 Find the third derivative of a**4*v + a**4 - 143766*a**3 - 2*a**2*v + 16685272*v wrt a. 24*a*v + 24*a - 862596 What is the second derivative of -1115466*g**3 + 11037733*g? -6692796*g Differentiate -h**2*t - 2004*h**2*z + 2*h*t**3 - 333*h*z + 2*t**3*z - 927419*t**2 wrt z. -2004*h**2 - 333*h + 2*t**3 What is the second derivative of -99334*o*p**3 + 2*o*p**2 + 2*o*p - 213178*o + 2*p**3 + p**2 + 2*p wrt p? -596004*o*p + 4*o + 12*p + 2 What is the derivative of -100*p**2*r**3 - 74991*p**2*r**2 + r**3 + 30*r**2 + 5*r - 618 wrt p? -200*p*r**3 - 149982*p*r**2 Differentiate 473022560*o + 566196190 wrt o. 473022560 Differentiate 286364823*b**4*i**2 - 95406585*i**2 wrt b. 1145459292*b**3*i**2 Differentiate -11419210*f**3 - 5452946 with respect to f. -34257630*f**2 Differentiate -38404766*z**3 + 22957719 wrt z. -115214298*z**2 Find the third derivative of -47201451*n**3 - 6945*n**2 - 206*n + 4 wrt n. -283208706 Find the third derivative of 1286431*i**4 + 2*i**3 - 8750*i**2 + 336. 30874344*i + 12 What is the derivative of 10730*t**4 - 10435*t**3 + 1342069322 wrt t? 42920*t**3 - 31305*t**2 What is the first derivative of 452700197*g**2 + g - 449633482? 905400394*g + 1 What is the third derivative of 69809377*r**3 - 62247261*r**2? 418856262 Differentiate f*k*r**2 + f*k - f*r**2 - 158*f*r - 4*f - 4*k*r**2 + 3*k*r - 54*k - 4*r with respect to f. k*r**2 + k - r**2 - 158*r - 4 Find the third derivative of 113*s**5 + 1166*s**4 + 11*s**2 - 585640*s wrt s. 6780*s**2 + 27984*s What is the derivative of 42248350*g**2 + 36587656? 84496700*g What is the derivative of -53962*c*h**3 + 4550*c - 4254*h - 35284 wrt h? -161886*c*h**2 - 4254 Find the third derivative of -4105812*c**3*d**3 - 74*c**3*d**2*h**2 + 2*c**2*d**3*h**2 - 1989680*c**2*d**3 + 2*c**2*d*h**2 - 7*d wrt c. -24634872*d**3 - 444*d**2*h**2 Find the second derivative of 531796780*q*x**5 + 2*q*x**3 + q - 248392549*x wrt x. 10635935600*q*x**3 + 12*q*x What is the derivative of 53662560*u**2 - 5267414 wrt u? 107325120*u What is the third derivative of -1687*r**5 - 8*r**3 + 6314200*r**2? -101220*r**2 - 48 What is the derivative of 23*a**3 - 6*a**2 + 24*a*s - 8*a + 2*s + 5495267 wrt a? 69*a**2 - 12*a + 24*s - 8 Differentiate 148*l*o - 476*l + 94293*o + 132152 with respect to o. 148*l + 94293 Find the third derivative of 9*o**2*q**3 + 48558*o**2*q**2 - 1209*o*q**3 - 12*o*q**2 - 10*q**3 - 41*q**2 wrt q. 54*o**2 - 7254*o - 60 What is the third derivative of -u**5 + 10970405*u**4 + 36973015*u**2 wrt u? -60*u**2 + 263289720*u What is the second derivative of -v**4 - 910643*v**2 - 60937643*v? -12*v**2 - 1821286 Differentiate 162473096*l - 168846750. 162473096 Differentiate -93688345*f*g**2 + 559*g**2 + 44697*g - 1 with respect to f. -93688345*g**2 What is the first derivative of -147658514*r**4 - 274573802? -590634056*r**3 Find the second derivative of -1834511*r**3 + 4*r**2 + 8889298*r. -11007066*r + 8 What is the first derivative of 292647*g**3 + 149*g**2 - 239950445 wrt g? 877941*g**2 + 298*g Find the first derivative of 202421316*d**4 - 287132572 wrt d. 809685264*d**3 What is the third derivative of -85754804*w**3*x**3 + 6*w**2*x**3 + 3*w**2*x + 20*w*x**3 + 12*w*x**2 + 569*w*x + 2*x**2 wrt w? -514528824*x**3 Differentiate 76*i**4 - 3*i**3 - 43*i**2 - 145*i - 18616514. 304*i**3 - 9*i**2 - 86*i - 145 What is the third derivative of -148714*w*x**6 + 251*w*x**4 - 9*w*x**2 + 21*w + x**2 - 1692*x - 3 wrt x? -17845680*w*x**3 + 6024*w*x Differentiate -1078613*m*v**2 + 2*m*v + 2*m - 3731888 with respect to v. -2157226*m*v + 2*m Find the second derivative of -2843*s**4 - 79*s**3 + 90*s + 5459. -34116*s**2 - 474*s What is the first derivative of 7397792*b*k**3 - 7*b*k - 259752*k**3 + 16*k + 5 wrt b? 7397792*k**3 - 7*k What is the second derivative of -136871418*g**2*y**2*z + 2*g**2*y*z - 18*g**2*y - 2236*g**2*z + 166*g*z**2 + y**2*z**2 wrt y? -273742836*g**2*z + 2*z**2 What is the second derivative of -57849930*n**2 - 31172917*n wrt n? -115699860 What is the third derivative of 2*h**2*m**3 - 6336582*h**2*m**2 - 6*h*m**3 - 63790*m**3 wrt m? 12*h**2 - 36*h - 382740 What is the second derivative of -c*t*x**2 - 3*c*t*x - c*x - c + 5*t**2*x**2 + 34941*t**2*x - t**2 - 1652835*t*x**2 + 2 wrt x? -2*c*t + 10*t**2 - 3305670*t What is the second derivative of 63958*f**3*h**2 - 87*f**2*h + 16*f*h**2 + 32*f - 5*h + 3 wrt f? 383748*f*h**2 - 174*h Find the first derivative of 1321421614*c - 542787428 wrt c. 1321421614 Find the first derivative of 4527433*u - 4923882. 4527433 Differentiate 2*f*s**2 + 7069347*f - 22429459*s**2 with respect to f. 2*s**2 + 7069347 What is the derivative of -9871*f*r + 185*f + r**2 - 67*r - 133755 wrt r? -9871*f + 2*r - 67 Find the first derivative of -463926300*v**4 + 635406951 wrt v. -1855705200*v**3 What is the derivative of -2406*g*i**2 + 2*g*i - 193471248*g + 183*i**2 - 10*i wrt i? -4812*g*i + 2*g + 366*i - 10 What is the derivative of -63*j**4 - 767*j**3 - 2*j**2 + 8547575 wrt j? -252*j**3 - 2301*j**2 - 4*j What is the first derivative of 226848047*j - 87385841? 226848047 Differentiate -17750*k**4 - 14730*k - 712513241 with respect to k. -71000*k**3 - 14730 Differentiate 416479980*l**2 - 454837290 with respect to l. 832959960*l What is the second derivative of -693*w**3 - 6578*w**2 + 111985458*w? -4158*w - 13156 Find the third derivative of 8*d*h**3*j*p - 11821*d*h**3*j + 5*d*h**2*p - d*h*j*p - d*h*p + 9*d*p - 7*h**3*j + 22*h**2*j + 3*h**2 wrt h. 48*d*j*p - 70926*d*j - 42*j What is the second derivative of 648*f**2*g*s - 4*f**2*g - 130*f**2*s - 37*f**2 + f*g*s + 3*f*g + 33*f*s - f + g*s + g + 1237 wrt f? 1296*g*s - 8*g - 260*s - 74 Find the second derivative of 12789892*r**2*z**2 + 2*r**2 + 19421*r*z**2 + 12*r*z - 15*r wrt r. 25579784*z**2 + 4 Differentiate -223209896*j**2*p + 14340202*j**2 with respect to p. -223209896*j**2 What is the derivative of -o*q**2 - 24*o*q + 165621213*o + 2*q**2 - 18303*q wrt q? -2*o*q - 24*o + 4*q - 18303 What is the third derivative of 1274068*a**5 + 2*a**4 + 8810458*a**2 wrt a? 76444080*a**2 + 48*a What is the third derivative of -668242557*g**3*i**3 + 2366*g**3*i**2 - 38915*g**2*i wrt i? -4009455342*g**3 What is the third derivative of 402592338*o**3 - 3*o**2 + 278524893*o? 2415554028 Find the third derivative of 1153484909*r**6 + 65762151*r**2 wrt r. 138418189080*r**3 Find the third derivative of 30*c*j*k**3 + 2*c*j*k**2 + 5*c*j*k + 32*c*j + 2*c*k**3 + 64*c*k**2 - 44256*j*k**3 - k**3 - k**2 wrt k. 180*c*j + 12*c - 265536*j - 6 What is the second derivative of 22463033*d**2*j**3*u**3 - 2*d*j**3*u + 152*d*j**2*u**3 + 18*d*u**2 - 2*j**3*u**3 + 2*u**3 wrt d? 44926066*j**3*u**3 Find the first derivative of 4*g*s*v - 505*g*s - 13954548*g*v - 2*g + 2418*s + 2*v wrt s. 4*g*v - 505*g + 2418 Find the third derivative of 36191711*c**3 + 2*c**2 + 2*c + 5708578. 217150266 Find the third derivative of 44584652*a*x**3 + 22*a*x**2 + 5*a + 8*x**2 - 72*x - 1 wrt x. 267507912*a Differentiate 60403282*h**4 - 70603103 with respect to h. 241613128*h**3 What is the derivative of -33430*l**2*n**2 - 3*l**2 - 131*l*n**2 - 6*n**2 + 17*n - 43561 wrt l? -66860*l*n**2 - 6*l - 131*n**2 What is the third derivative of 4*i**4*y + 1883445*i**3*y**3 - 53*i**2 - i*y**2 - 10*i*y - 3*i - 7*y**3 - 70*y**2 wrt i? 96*i*y + 11300670*y**3 Find the third derivative of 1218*d**4 + 27*d**3*t**3 + 105*d**3*t**2 - 246933*d**2*t - 46*t**3 wrt d. 29232*d + 162*t**3 + 630*t**2
Let t(y) = -6*y + 4 - 4 - 4 - 2*y**2. Let s(o) = 146*o + 92. Let w be s(2). Suppose -w*a = -387*a - 12. Calculate t(a). -12 Let v(x) = 2*x + 1. Suppose 2 = g - 0. Suppose -96 + 36 = -20*c. Suppose g*o + 3 = -c. Determine v(o). -5 Suppose 0 = 5*y + u - 24 + 1, -3*u = -9. Suppose 3*c = l + 10, -4*l = -5*c - 3 + 8. Let r(g) = -y*g**3 - 2*g - g + l*g**3 - 2 - 6*g + 5*g**2. Calculate r(-6). 16 Let q(x) be the third derivative of x**5/60 + 13*x**4/12 + 23*x**3/6 - 922*x**2. Determine q(-25). -2 Let r(l) = -5*l**3 - l**2 - 4*l - 3. Let x be r(-2). Let v(s) = 37*s - 3 - 2 - x*s - s**2. Suppose -n + 2 = 7. Determine v(n). -10 Let h(m) = m - 21. Suppose 3*k + 22 = 2*o, -39*k + 20 = -42*k + 4*o. Calculate h(k). -29 Let c = 751 + -745. Let x(q) = q. Let m(y) = 4*y - 1. Let l(k) = -m(k) + x(k). What is l(c)? -17 Let b(l) = -13 - 4*l**2 - 296*l + 3*l**2 - 289*l + 884*l - 292*l. Determine b(9). -31 Let d(z) = -39*z - 135. Let y be (4/16 - (-5)/12)/((-163)/978). Calculate d(y). 21 Suppose -6*q + b = -9, -b - 9 = -14*q + 9*q. Let o(v) = v**3 - 2*v**2 + 4*v - 24. What is o(q)? -24 Let z(p) be the third derivative of 0*p - 1/6*p**3 + 1/60*p**5 - 5*p**2 + 1 + 1/6*p**4. Suppose 0*n + 5*n - 4*x = -26, -6 = 5*n + x. Give z(n). -5 Let s(h) = -280*h + 98*h + h**2 + 184*h - 26. Determine s(-9). 37 Let z(m) = -22*m - 759. Let t be z(-35). Let x(h) = h**2 - 12*h + 4. What is x(t)? -7 Let x be (2/(-3))/(11/(-99)). Let i(z) = 23*z + 25*z + 24*z - 5 - z**2 - 64*z. Let j be i(x). Let r(p) = p - 6. Give r(j). 1 Let r(p) = 2*p**3 + 3*p**2 - 2. Let x be (42/14)/((-1)/2 - -2). Suppose -3*i = 5*d - 5*i - 28, -i = 4*d - 12. Let s = x - d. Calculate r(s). -6 Let w(v) = v + 3. Let l = 22 + -147. Let q = l + 25. Let h = q + 95. Determine w(h). -2 Suppose -3*r - 18 = -6*r. Let f(k) = 5 + 0 + r*k - 5*k. Let q(i) = -2*i - 6. Let w(b) = 4*f(b) + 3*q(b). Determine w(5). -8 Let r(k) = -k + 2. Suppose 0 = 3*u + 10 - 13. Suppose -25*o - u = -51. Determine r(o). 0 Suppose -190 = -2*b + 4*b + 2*r, 4*r - 184 = 2*b. Let h = -98 - b. Let t(d) = -7*d - 6. What is t(h)? 22 Let w(v) = -v - 3. Let o = -242 + 246. Let n(j) = -4*j - 7. Let h(m) = o*n(m) - 12*w(m). Give h(4). -8 Let v(d) be the second derivative of d**3/6 - 2*d**2 + 2*d. Let y = -1242 + 1249. Give v(y). 3 Suppose 72 = 4*m + 5*m. Let b(u) be the third derivative of u**5/60 - 3*u**4/8 + 4*u**3/3 - 27*u**2. Give b(m). 0 Let c = 2152 + -12911/6. Let r(o) be the second derivative of -12*o + 0 - 7/12*o**4 + 0*o**2 - c*o**3. Determine r(-1). -6 Let c(m) be the third derivative of m**5/30 - m**3/6 - 740*m**2. Let p = 37 + -39. Determine c(p). 7 Suppose -9*i - 14*i - 138 = 0. Let z(h) = -7*h - 36. Give z(i). 6 Let a(o) = -o**3 - 7*o**2 - 10*o - 7. Suppose -4*x + 4 = t, 3*x - 143 = 3*t - 125. Calculate a(t). -15 Let w(g) be the third derivative of g**9/20160 - g**7/5040 - g**6/720 - g**5/60 - 2*g**3 - 50*g**2 - 2. Let j(c) be the third derivative of w(c). Give j(2). 21 Suppose 83*l + 864 = -133*l. Let j(c) = -c**3 - 2*c**2 + 8*c + 3. Determine j(l). 3 Let f(d) = d**2 - 6*d + 125. Let k(b) = 49. Let w(g) = f(g) - 3*k(g). Determine w(-7). 69 Let z(v) = 2*v + 1. Let w(s) = 11*s - 1. Let n = -133 - -132. Let j(q) = n*w(q) + 2*z(q). Determine j(3). -18 Suppose 6*j = -0 + 24. Let b = -31 - -37. Let f(k) = 2*k - 4 + j - 1 - b*k**2. Determine f(1). -5 Let w(b) = b**3 + 17*b**2 + 43*b + 18. Let z(g) = -3*g**3 - 18*g**2 - 56*g - 350. Let k be z(-6). Determine w(k). 4 Let r(l) = -10*l**2 - 2*l + 6. Let y(c) = c**3 + 2*c**2 - 1. Let v be (-4)/(-32) + (-9)/8. Let h(u) = v*r(u) - 5*y(u). Calculate h(1). -4 Let n(k) = 104*k - 27. Let v(f) = 35*f. Let m(p) = n(p) - 3*v(p). Determine m(-14). -13 Let v(p) = 3*p - 3. Let a(k) = -3*k + 4. Let n(r) = -4*a(r) - 5*v(r). Let g = -1798 - -1797. What is n(g)? 2 Let t(f) be the first derivative of f**4/4 + 9*f**3 - 29*f**2/2 - 18*f - 2502. Give t(-28). 10 Suppose -m - m - 3*a = -4, a = 0. Suppose 0 = o - 3*o - m. Let j(p) = 3*p - p + 7*p + 8*p. What is j(o)? -17 Let x(b) be the first derivative of b**5/60 + b**4/12 - 2*b**3/3 + 15. Let n(y) be the third derivative of x(y). Suppose -9*q + 2 = 20. What is n(q)? -2 Let k(b) be the third derivative of 7*b**4/12 + 20*b**3 - 2900*b**2. What is k(-9)? -6 Suppose 1066 - 1070 = 2*k, 4*t - 3*k = 6. Let c be 2/(-2)*(-2 - 3). Suppose -y + v = -t*y, 4*v - 2 = c*y. Let w(d) = -d - 2. Determine w(y). 0 Suppose 5*h = h - 36. Let a(m) = 1196*m - 18. Let q(b) = -287*b + 4. Let t(l) = -6*a(l) - 25*q(l). What is t(h)? 17 Let p(m) = 13 + m + 37 - 68 + m**2. Determine p(-7). 24 Let o be (0/2)/2 + -2. Let g(u) = 5*u - 1. Let c(t) = -6*t + 1. Let q(n) = -3*c(n) - 4*g(n). Give q(o). 5 Let a(o) = o**3 - o**2 - 22*o + 1. Let b be a(-4). Let u(h) = -b*h - 4 + h + 0*h + 0*h. Let g be (2/2)/((-1)/3). Determine u(g). 20 Let k = -2219 - -1553. Let z = k - -657. Let o(b) = 2*b**3 + 10*b**2 + 6*b + 2. Let x(n) = n**3 - n - 1. Let y(h) = -o(h) + x(h). What is y(z)? -21 Let h(s) be the third derivative of -3/2*s**3 + 118*s**2 + 0 - 1/24*s**4 + 0*s. Give h(9). -18 Let h(c) = 3*c**3 - 13*c**2 + 26*c - 23. Let g(u) = -4*u**3 + 14*u**2 - 32*u + 24. Let o(t) = -2*g(t) - 3*h(t). Determine o(10). -19 Suppose 0*c + c = 16. Let j be 46/10 - 0 - (-156)/390. Suppose -4*g = 3*x - c, 5*g + 3 = j*x - 12. Let r(o) = o**2 - 1. Determine r(g). 0 Let s(l) be the first derivative of -3*l + 3/2*l**2 + 112 + l**3 - 1/4*l**4. Give s(4). -7 Let g = -4 + 84. Let v = g - 87. Let y(m) = -m**3 - 8*m**2 - 4*m + 3. Determine y(v). -18 Let k be (-1 + (-4 - 0))*1. Let z(c) be the first derivative of -c**3/3 - 3*c**2/2 + 2*c + 8560. Calculate z(k). -8 Let v(i) = -i - 11. Let h = -189 + 191. Suppose -5*y - 4*b - 54 = 0, -y = -b - h + 20. What is v(y)? 3 Let v be ((-4)/(-3) - 0)*3. Let j(q) be the first derivative of 0*q**2 - 3*q + 36 + 1/3*q**3. Give j(v). 13 Suppose 3*g = 2*j - 84, g + 223 = 5*j - 0*g. Let d(u) = 11 + 81*u + 44*u**2 - 88*u - j*u**2. Suppose 0 = -5*f - 4*s - 61, -11 = f + 2*f - 4*s. Determine d(f). -7 Let z(n) = -n**3 - n**2 + n - 2. Let j(t) = 6*t**2 + 77*t**3 - 4 - 6*t - 76*t**3 + 8 + 6. Let x be j(-7). Let r be 2/(-4)*(-1 + x/3). Determine z(r). -2 Let f = 176 + -113. Suppose 13 = -2*a + f. Let p(s) = 1 - a*s - 32*s + 44*s. Give p(1). -12 Let f be -5*((-1)/1 - (-8)/2). Let y(k) = -k**2 - 22*k - 18. Let d be y(f). Let b(a) = -44 + d - 42 - 13*a**2. What is b(-1)? -12 Let s(r) be the first derivative of -r**6/180 + r**5/10 - r**4/8 + 79*r**3/3 - 103. Let l(w) be the third derivative of s(w). Determine l(6). -3 Let f(s) be the third derivative of s**6/120 - s**5/60 - 13*s**4/8 + 7*s**3/6 - 976*s**2. Give f(-6). -11 Let j(i) be the first derivative of 9*i**4/4 + i**3 + 3*i**2/2 + 2*i + 4578. Determine j(-2). -64 Let b(t) = -t + 6. Let d(v) = v**2 - 22*v - 72. Let x be d(-3). Let c(r) be the third derivative of r**4/6 - 2*r**3 + r**2. Let g be c(x). Give b(g). 6 Let o be 10 - 6 - 16 - -14. Let y(n) be the first derivative of -3*n - 3/2*n**o - 2 - 1/3*n**3. Determine y(-4). -7 Let x(a) be the first derivative of -1/3*a**3 + 192 + 2*a**2 - 8*a. What is x(4)? -8 Let j(k) = -9*k**2 - 63*k - 51. Let o(p) = 5*p**2 + 34*p + 25. Let l(n) = -4*j(n) - 7*o(n). What is l(-3)? -4 Let n(s) be the third derivative of 1/6*s**4 + 0 - 1/6*s**3 + 3*s**2 + 0*s + 1/60*s**5. Let j(v) = -1817*v - 12723. Let h be j(-7). Give n(h). -1 Let c(p) be the first derivative of 10 + 0*p + 8*p**2 - 1/24*p**4 - 2/3*p**3 - 1/15*p**5 - 1/120*p**6. Let h(i) be the second derivative of c(i). Give h(-4). 0 Let h be -1 - -15 - 12/(-3). Suppose -12*l + h = -18. Let g(m) = 4*m - 10. Give g(l). 2 Let r be 10/8 + 9/12 + 0. Let h(a) = 1 + 46*a + 12*a**2 + 0*a**r - 45*a. Let f be 6/(-5) + (-10)/(-50). What is h(f)? 12 Let c(b) be the second derivative of b**5/20 - b**4/3 + b**3/3 - b**2/2 + 18137*b + 1. Suppose -2*n - 1 = -11. Calculate c(n). 34 Let w = -1051 - -1062. Let p(j) = -j**2 + 6*j + 34. Calculate p(w). -21 Let f(r) = -5*r**2 + 44*r + 62. Let m be f(10). Let p(t) = 3*t**3 + t**2 - 7*t + 6. Give p(m). 20 Let h be (-3350)/75*(2 - (-21)/(-6)). Let a(o) = 23 + 23 + o**3 + 22 - h + 2*o + 8*o**2. Determine a(-8). -15 Let g(i) = -i**2 - 3*i + 2. Let j be 126/(-6 - 8) + (-24)/(-4). Give g(j). 2 Let b(f) = -4*f**3 + f**2 + f - 1. Suppose 5*u - 6*u = -5. Suppose 5*w + 3*g = -307, -3*w + u*g - 165 = -8. Let t = w - -60. Give b(t). -3 Suppose 4*a = -20, -2*l + 4*l = -2*a - 6. Let b(k) = 10*k + l - 1 + 5*k. Let v(z) = -30*z**2 - 238*z + 15. Let q be v(-8). Give b(q). -14
Let y(f) = -f**3 + 21*f**2 - 104*f - 24. Let w be y(12). Solve i - 5*a = 26, 9*i = 5*i + 4*a + w for i. 1 Suppose 10*m + 384 = 26*m. Let h = -4 + m. Suppose -6*o = 2 - h. Solve o*y + 13 = 5*d, y + 1 - 5 = 0 for d. 5 Let z(b) = -3*b**2 - 162*b - 597. Let s be z(-50). Solve -s*j + 4*h + 17 = 0, -10*j - 4*h - 24 = -6*j for j. -1 Let r(h) = 2*h - 2. Let v = -5 - -13. Let j = v + -6. Let o be r(j). Solve -k - 5 = -3*d, 15 = -2*d - o*d - 3*k for d. 0 Suppose -20886 = -39*c - 19950. Solve 3*n + 5 = -3*h - 2*n, -4*h = -n - c for h. 5 Let v be 3 + 4/(-24) + (-220)/(-24). Let d(y) = y**2 - 12*y + 3. Let j be d(v). Solve 0*c - 3*c = -5*q - 15, -5*c = -q - j for c. 0 Suppose 3*q = -5*p + 24, -4 = 3*p + 3*q - 16. Solve -p*w = -w + 4*s - 20, 2*w + 4*s = 8 for w. 4 Let v(x) = -108*x - 108*x - 30 + 206*x. Let h be v(-3). Let j(m) = 11*m + 1. Let y be j(1). Solve -5*b + y = -2*r, -3*r - b - b + 20 = h for r. 4 Let b be (1 - 1)/(-6 - -9). Suppose -4*x - 12 = -4*d, 4*x - 1 + 5 = b. Suppose -d*g + 3 = 5*p, -2*p + g + 0 = -3. Solve q - p = -n, 3*q - 3*n + 5 = 5*q for q. -2 Let j(n) = -5 - 3*n**2 + 5*n + 4*n**2 + 2. Let q be j(-6). Let z be (-171)/(-76)*2*(-44)/(-18). Solve 0*s - q*s - z = -m, -7 = s - 2*m for s. -3 Let a be (-187)/(-33)*((-4)/(-2) + 1). Suppose a*s - 57 = -2*s. Let k = 1 - 1. Solve 0*h - 4*h - 11 = -s*u, -4*h - 20 = k for u. -3 Let g be (-10826)/(-124499) - (1236/(-23))/3. Suppose -2*s + 17 = 5*v + 7, s + 4*v - 5 = 0. Solve s*n + 2*x + g = -x, -n + 2*x = 1 for n. -3 Let v(r) = r**3 - 7*r**2 + 5*r + 6. Let x be v(6). Let f(y) = -23*y**2 + 3*y + 2 + 50*y**2 - 28*y**2. Let k be f(x). Solve -2*g + k = 2*j, g - j + 5 = -4 for g. -4 Let n = -2662 - -2666. Solve 0 = -4*b - n*i + 20, -5*b - 2*i = -2*b - 11 for b. 1 Let s be -1 + 2 + -1 - -2. Let q(k) be the second derivative of -k**5/20 - k**4/12 + 28*k. Let o be q(-2). Solve 3*w - o = -0*b - b, -b - s*w = -1 for b. -5 Let p(u) = -u. Let c be p(-2). Let a = -33155 + 33158. Solve c*h - a*q = 7*h + 31, 6 = -3*q for h. -5 Let m = -23339 - -23341. Solve 22*a - o - 15 = 25*a, 5*o = -m*a - 23 for a. -4 Suppose 18 = m + 3*s, 4 = 3*m + s - 10. Let c be -3 - (18/(-2) + m). Suppose 341*z + 428 - 1451 = 0. Solve 4 = -5*w - z*o, 2*w - c*w + 4 = -o for w. 1 Suppose 0 = -307*a + 386 + 1149. Solve c + 32 = 4*y + a*c, 2*c - 10 = 0 for y. 3 Let q = 188 + -263. Let c be (-1 - -3)*q/(-30). Let r = -12 - -22. Solve 2*s + r = c*a, s + 0*s - 2*a = -4 for s. 0 Let d = -21422 + 21432. Solve 2*k - 18*n = -15*n - d, n = -4*k + 8 for k. 1 Let h be (-45)/(-2)*(-200)/(-750). Solve -12*n + h = 2*v - 14*n, n = -1 for v. 2 Suppose -2*u = -3*u - 6. Let o(g) = g**2 + 17*g + 68. Let v be o(u). Let h be (8/(-12))/(2/(-12)). Solve 4*w - w - 4*n + 7 = 0, 2*w - h*n = -v for w. -5 Let b = -3913 - -3916. Suppose -s = g - 24, 5*g + 2*s + 0*s - 108 = 0. Solve -2*i - b*i = f - 1, -4*i + 4*f = -g for i. 1 Let d = 1489 - 1497. Suppose -5*b = h + 6, -4*h = -0*b + 3*b - 44. Let c = h + d. Solve 0 = y - c*y - 5*k + 50, 0 = 3*y - 2*k - 5 for y. 5 Let v(m) = m**2 + 9*m - 90. Let l be v(-15). Let g = -1 - -3. Suppose -g*z + 24 + 14 = l. Solve 2*x = 3*i + z, x - 3 = 2 for i. -3 Let w be -32*12/(-120)*5. Solve 4*h + w = h - 2*k, h = -k - 7 for h. -2 Let q be (16 - 20)/8*-18. Solve 11 = -5*w - y, 3*y - q = -47*w + 46*w for w. -3 Let y = -1946 + 1950. Solve -8*f + 3*f - 1 = y*q, 3*q = -2*f - 6 for f. 3 Let j be (-3)/(-8)*-4*-2. Solve 0 = -2*b + 3*r + 18, -15*r + 16*r = j*b - 13 for b. 3 Let k = -298 - -298. Suppose k = 14*i - 15*i. Solve 5*q + i*r + 17 = 3*r, -3 = 3*r for q. -4 Let q = 221 - 219. Let j be 3/(21/2) - 54/(-7). Solve -h = 5*s - j, q*s + 4*h - 9 = 5*s for s. 1 Let w be -1 - -4 - (-60 + -22 + 0). Solve 0 = 5*t - 2*y + 31, -t + 95 - w = 5*y for t. -5 Let f = -162 - -86. Let s = f + 80. Solve -2 = -2*z - 10, -3*d - s*z - 16 = 0 for d. 0 Suppose 46*c + 416 = -28*c + 564. Let b = -1 + 3. Solve 0 = q + n - 10, -b*q + 35 = 3*q + c*n for q. 5 Let v(p) = 8*p - 160. Let b = 377 - 356. Let m be v(b). Solve -5*q = o - 1, -4*o - 5 - m = 3*q for o. -4 Let n(c) = 40*c + 80. Suppose 8 - 1 = -v - u, -v = -3*u - 13. Let b be n(v). Solve 5*g + 4*y - 2*y + 28 = b, -2*g - 20 = 3*y for g. -4 Suppose 5*l + 9 = 3*t, -3*t = 5*l + 57 - 66. Solve 0 = -2*z + x - 1, -15 = 4*x - t for z. -2 Let y = -21 - -31. Let x be (-3)/12 - -3*365/60. Solve u - 3*h - x = 0, 3*h - y = 5*h for u. 3 Suppose 2*m - 79 = 3*x, 0 = m + 3*m - 4*x - 156. Suppose -102 = -14*t + m. Suppose -2*b - 16 = -t*b. Solve z = 3*d + 14, -3*d + b*z + z = 18 for d. -4 Suppose -5*d + 484*s = 488*s - 136, 5*d + s = 109. Solve 5*x - 3*y = -d, 0 = 3*x - 4*y + 9*y - 22 for x. -1 Suppose 0*n + 2*n + 116 = -5*b, b + 3*n = -31. Let m = b - -24. Solve h + m*x - 4 = 0, 8 = -4*h + x + 3*x for h. 0 Suppose -j - 4 = 0, 2*j - 1727 = -3*y - 1729. Solve -y*c - c + 3*i = -6, c = 2*i + 1 for c. 3 Suppose -209*f + 205*f + 32 = 0. Suppose 5*j + f = 9*j. Suppose 0 = 3*w - j*w + 6*w. Solve -z - 21 = -4*k, 3*k - 3*z - 10 - 8 = w for k. 5 Suppose 0 = 4*z - 29 - 19. Let y be ((-8)/(-12))/(2/z). Suppose 0 = -4*l + y, -5*d + 52 = l + 1. Solve m + 2 = -5*c + 2*m, 0 = -5*c - 5*m + d for c. 0 Suppose 2*k = -n + 10, n = k + 1 - 6. Suppose -10 = 2*i + 5*t, 2*t + 1 + 3 = n. Solve 0 = 2*z + 4*f, i*z + 4 = 3*z + 4*f for z. 4 Suppose -4*k + 88 = 68*c - 70*c, -3*k - 3*c + 39 = 0. Solve -2*z + 3*z + 4*p - 17 = 0, 0 = -2*z - 5*p + k for z. -3 Let x(d) = 2*d**3 + 86*d**2 - 7*d - 259. Let k be x(-43). Solve -37*q - 2*w + 28 = -k*q, -5*q + 4*w = 36 for q. -4 Suppose -9*m = -13*m - 8, t = 3*m + 434. Let w = 456 - t. Solve 5*b - c - 18 = -3*c, 0 = 4*b + 5*c - w for b. 2 Suppose -2*h + 20 = -0*h + 4*t, 0 = 2*h - 4*t + 12. Let i be 4*h + 360/(-60). Solve 4 = -4*c + i*d - 4, 3*c + 3 = 3*d for c. -3 Let q(u) = u**2 + 15*u - 152. Let w be q(-22). Let o be 28/7 + 3*1. Suppose -1 = w*l - o. Solve l*r - 8 = -2*x + 7*r, 4*r + 14 = 5*x for x. 2 Suppose -3*o = 5*a - 0 - 22, 25 = 5*a. Let u be 1 + o + 2 + 2. Suppose -u*z = -8*z, 2*z + 60 = 5*v. Solve -3*i - v - 2 = 4*m, -4 = -2*i for m. -5 Let h(n) = -2*n + 18. Let t(l) = l + 29. Let r be t(-21). Suppose c = -4*s + 19 + r, -s - 2*c = 2. Let u be h(s). Solve -z + 4*k - 1 - 4 = 0, u*k = 0 for z. -5 Let c(x) = x**3 - 3*x**2 - 6*x + 13. Let k = 26 - 28. Let p be (4/(-5))/(k/10). Let r be c(p). Solve 5*s + 5*w = -r, 5*w + 4 = 5*s - 1 for s. 0 Let g = 280 + -266. Suppose -a = -2*s + g, 4*a + 12 - 4 = 0. Solve -6 = -5*t - o, s*o + 26 = 3*t + o for t. 2 Let l = 398 + -564. Let m = 168 + l. Suppose -5*c + 5*g = -20, 3*g - 1 = -4*c + 22. Solve 4 = -c*s - m*r, 2*s + 2 = -r - 0*r for s. 0 Let c be 3/(3/(-4)*-2). Let q be (-9 - -8)*(-3 - -3)/(-3 + 2). Solve q*v = -2*v + c*w + 6, -5*v = 2*w + 13 for v. -1 Let x be (-38)/(-22) - ((-3876)/(-187) + -21). Solve 3*r = x*c - 8, 2*r - c = -5*c - 16 for r. -4 Let d be (6/4)/((-441)/74 - -6). Solve -4*m - 2*y + 55 = d, -y = m - 4 for m. 5 Let y(p) = 15*p - 99. Let c be y(8). Let i be (c + -1)*(-8)/(-32). Solve 4*g + i*h = -4, 2 = -2*g - 5*h - 10 for g. 4 Suppose 3*k + 0*k = -16*k - 5*k. Suppose -2*u - u + 3*g = 0, -4*u - 5*g = -18. Solve -r - r + 18 = 2*c, c - u*r + 3 = k for c. 5 Let u(g) = g**2 - 2*g + 7. Let d(o) = -3*o**2 + 4*o - 14. Let z(p) = 2*d(p) + 5*u(p). Let b = 12 + -15. Let y be z(b). Solve 6 = -2*v, -j - y + 0 = v for j. -1 Let l be (190/475)/((-12)/(-10) - 1). Suppose -4*r = -n + 10, -n + 6*n - 14 = 2*r. Solve l*h = 2*o + 2, 2*h + 0 = -o + n for h. 1 Let t(c) = 2857*c - 2821*c + c**3 + 31*c**2 - 34 + 102 + 4*c**2. Let y be t(-34). Solve 5*w + 5*i + 15 = y, -w - 2*i = i + 13 for w. 2 Let q(s) = -3*s**2 - 65*s + 172. Let h be q(-24). Solve -3*i - 22 = -h*p + 6, 2*i - 5*p + 28 = 0 for i. -4 Let n be 0 + -3 + ((-14)/(-2) - -1). Let a be ((-108)/n)/((-72)/40 + 2). Let v = a + 113. Solve 0 = -5*j - 4*y + 32, v = j + y - 2 for j. 4 Let a = -740 + 750. Let j(l) = -2*l**3 + 21*l**2 - 7*l - 27. Let f be j(a). Let c = 5 - -3. Solve -f*w + w + 3*y = -16, 4*y = -c for w. 5 Let d = 231 - 228. Suppose 63 = 10*k - d*k. Solve -2*o - 4*q - 12 = 0, -3*o = -8*o + 3*q + k for o. 0 Let h be (12*19/(-570))/(4/(-1390)). Let m = 147 - h. Let j(t) = 6*t - 7. Let g be j(5). Solve -5*q - 41 = 4*k - m*k, -3*q + 2*k = g for q. -5 Let i(w) = -18 + 6*w**2 - 18*w + 152*w**3 + 16*w**2 - 306*w**3 + 152*w**3. Let b be i(10). Solve 4*h = v + 5, 2*v - 3 + 13 = b*h for h. 0 Let j be (-6 + (-38)/(-5))/(36/(-315)*-7). Solve -14 = -g + 10*d - 5*d, -2*g + j*d = -4 for g. -1
Suppose s + 5*u + 56 = 2*s, 0 = 2*s + u - 134. What is the remainder when 212 is divided by s? 14 Suppose r + 5*b - 59 = 0, -4*r + 5*b = -62 - 99. Calculate the remainder when 93 is divided by r. 5 Suppose -m + 4*w = -56 + 21, 4*w - 8 = 0. Calculate the remainder when 341 is divided by m. 40 Let y = 652 - 637. Let o(k) = -39*k - 1. What is the remainder when o(-1) is divided by y? 8 Let n be (-780)/(-9)*(-3)/(-2). Suppose 0 = 6*w + n - 436. What is the remainder when w is divided by 18? 15 Suppose -3*t + 171 - 39 = 0. Calculate the remainder when 131 is divided by t. 43 Let j = 122 + -124. Calculate the remainder when j/8 - (-351)/12 is divided by 12. 5 Let q = -833 - -860. What is the remainder when q is divided by 18? 9 Suppose w - 4 = -0*w. Suppose w = 2*q - 30. Suppose -51*c + 1627 = 46. What is the remainder when c is divided by q? 14 Let p = -418 - -438. What is the remainder when p is divided by 11? 9 Let l(w) = 13*w + 29. Let p be l(0). Suppose -57 = -4*b + 79. Let y = b + p. Calculate the remainder when y is divided by 16. 15 Suppose 2*y = 5*j - 157, -3*j + 95 = 4*y - 6*y. What is the remainder when j is divided by 18? 13 Let o(h) = h + 18. Let m be o(-13). Suppose 2*g + 151 + 108 = m*s, 0 = 2*s + 2*g - 98. Suppose -7*q = -4*q - s. What is the remainder when 48 is divided by q? 14 Let z(p) be the first derivative of 4*p**2 + 2*p + 3. What is the remainder when (-914)/(-12) - 4/24 is divided by z(3)? 24 Let o = 199 - 173. What is the remainder when 119 is divided by o? 15 Let z = 140 - 96. Calculate the remainder when 86 is divided by z. 42 Suppose -23 + 146 = 3*j. Suppose -3*n + 474 = 3*i, -3 = -2*n - 13. Calculate the remainder when i is divided by j. 40 Let z(p) = 17*p + 179. What is the remainder when z(-5) is divided by 16? 14 Suppose 2*f = 5*x - 401, 0 = -3*x - 0*f - 2*f + 247. What is the remainder when x is divided by 22? 15 Suppose 29 = 2*v + 5*o, 74*v - 3*o - 123 = 70*v. Let c = 40 - 29. Calculate the remainder when v is divided by c. 5 What is the remainder when (-1)/(-1) + (5 - -65) is divided by 25? 21 Let r = 291 + -102. Let i be (4/(-12))/(1/(-18)). Suppose -o - r = -3*j - i*o, -4*j = 3*o - 241. Calculate the remainder when j is divided by 15. 13 Suppose 2*o + 8 = 0, -2*o - 5 = -4*y + 43. Let n(r) = -r**2 - 5*r - 2. Let z be n(-4). Calculate the remainder when 152/y - z/10 is divided by 8. 7 Suppose 3*p - 10595 + 10076 = -3*f, 0 = -4*p + 2*f + 650. Let k = -28 + 49. Calculate the remainder when p is divided by k. 19 Let k(t) = 2*t**2 + 13*t - 34. Let w(m) = m**2 + 7*m - 17. Let d(l) = 4*k(l) - 7*w(l). What is the remainder when d(7) is divided by 29? 24 Let j = 15 - 13. Suppose -28 = -j*u + 314. Suppose 2*f - u = -f. Calculate the remainder when f is divided by 29. 28 Let u(w) = -3*w**2 + 10*w + 11. Let s(y) = -y**2 + 5*y + 5. Let a(f) = 5*s(f) - 2*u(f). What is the remainder when 22 is divided by a(-6)? 4 Let q = 1703 + -1701. Calculate the remainder when 11 is divided by q. 1 Let k(r) = -10*r - 134. Calculate the remainder when 618 is divided by k(-15). 10 Suppose -3*z + z = -4. Suppose 5*g + 345 = 3*b, z*b + 2*g = -7 + 221. Suppose -3*t = -b - 49. Calculate the remainder when t is divided by 14. 11 Suppose 374 + 318 = 2*w. Calculate the remainder when w is divided by 10. 6 Let a(t) = -t**3 - t**2 + 14*t + 11. Calculate the remainder when 313 is divided by a(-4). 1 Suppose 6*d + 3*a = 3*d - 186, 280 = -5*d + 5*a. Let k = 62 + d. Let s(n) = -n**3 + 5*n**2 - 4*n + 2. Calculate the remainder when k is divided by s(4). 1 Let o = 132 - 115. Calculate the remainder when 63 is divided by o. 12 Let u be (-3 - -1) + 16 + -2. Suppose 3*x = -2*y + 5*x + 36, -56 = -3*y + 5*x. Let s = y - u. Calculate the remainder when s is divided by 3. 2 Suppose 2*o - 155 = 273. What is the remainder when o is divided by 41? 9 Suppose 15*s + 6312 = 23*s. Calculate the remainder when s is divided by 10. 9 Let r(f) = f - 5. Let h be r(10). Suppose -u + 26 = 2*n, 3*u - 47 = -5*n + h*u. What is the remainder when 73 is divided by n? 7 Let w = 49 + -10. Let a be ((-33)/(-22))/(3/8). Suppose 0 = -a*f + 31 + 25. What is the remainder when w is divided by f? 11 Let z(m) be the second derivative of 0*m**2 + 0*m**3 + 5*m - 13/20*m**5 + 1/12*m**4 + 0. Calculate the remainder when 53 is divided by z(-1). 11 Suppose 244 = 4*i + 2*w, -4*i + i = 4*w - 178. Calculate the remainder when 251 is divided by i. 3 Let b(f) = -135*f + 14. What is the remainder when b(-1) is divided by 19? 16 Let f = 2722 + -2575. What is the remainder when f is divided by 13? 4 Let w = 38 + 26. Calculate the remainder when 3262 is divided by w. 62 Suppose -3 = t, -3*q + 234 = t - 1107. What is the remainder when q is divided by 11? 8 Suppose 11*r + 354 - 1135 = 0. Calculate the remainder when 283 is divided by r. 70 Suppose -895 - 125 = -12*f. Calculate the remainder when f is divided by 28. 1 Let x(t) = 8*t**3 + t**2 - 1. Let n be x(1). Suppose 77 = 3*l + n. What is the remainder when 114 is divided by l? 22 Let r be 0 + 4 - (3 + 4*-1). Suppose r*q = -q + 156. What is the remainder when q is divided by 14? 12 Let t(k) = k**3 - 25*k**2 - k + 38. Calculate the remainder when 371 is divided by t(25). 7 Suppose -5*q + 95 = w + 4*w, -3 = 3*w. Suppose -3*l = 3*r - 12, 2*l = 5*l - r - q. Calculate the remainder when 17 is divided by l. 5 Let s be 16/72 + (-4)/18. Suppose -22 = -2*n - 2*n - 3*f, s = -n + 2*f. Calculate the remainder when (0 + (3 - n))*-23 is divided by 12. 11 Calculate the remainder when 1078 is divided by (-36)/7*(11 - 513/18). 88 Suppose 0 = -g - 2, -2*b = 2*b + g - 2. Calculate the remainder when 81 is divided by b. 0 Suppose -53*y + 354 = -1236. Calculate the remainder when 1316 is divided by y. 26 Let k(q) = q**3 + 11*q**2 - 10*q + 28. Calculate the remainder when 14 is divided by k(-12). 2 Let t be (-5)/(-3) + 2/6. Suppose -14 = -2*p + b, 0 = p + t*b - 7. Calculate the remainder when 18 is divided by p. 4 Let s(f) = 2*f**2 - 7*f - 8. Let o be s(6). Suppose -5*d + 5*k = -45, -3*k = -2*d + k + o. What is the remainder when (-9)/3*(-40)/6 is divided by d? 6 Let n(z) = z**2 + 4*z + 1. Let m be n(-3). Calculate the remainder when 0/m - 15*-1 is divided by 20/6*5*24/50. 7 Suppose 0 = -4*a + 5*x - 17, -25 = -4*x - x. Suppose -2*o = 4*f + 22, a*f + 8 = o + o. What is the remainder when (-1 - (46 + -3))*o is divided by 15? 14 Let m = -170 + 191. What is the remainder when 70 is divided by m? 7 Let n(c) = -c**3 + 8*c**2 - 7*c + 2. Let q = 2 + 5. Calculate the remainder when 3 is divided by n(q). 1 Suppose u + 4*z - 146 = -120, 2*z = 2*u - 12. What is the remainder when 85 is divided by u? 5 Suppose -5*y + 2*m - 4 = m, -8 = -2*y - 2*m. Let n(g) = -3*g + 7*g**2 - 2 + y*g**3 + g**3 - 3 + 0*g. Calculate the remainder when n(-4) is divided by 29. 26 Suppose 142 = -4*i + 534. Let r = -10 + 12. Suppose r*s - i = -0*s. What is the remainder when s is divided by 26? 23 Let w be ((-6)/15)/((-2)/360). Let x = -43 + w. Calculate the remainder when x is divided by 8. 5 Suppose 2*i + 15 = -5*b, 8*i + 49 = 3*i - b. Let z be (0/(-2))/(3 + -1). Let g = z - i. What is the remainder when 37 is divided by g? 7 Suppose 0 = -3*a - 4*d + 179, -3*d - 33 = -a + d. Calculate the remainder when a is divided by 29. 24 Let v(u) = -u**2 - 9*u - 14. Let w(n) = -2*n - 3. Let t(a) = -2*v(a) + 11*w(a). Calculate the remainder when t(-6) is divided by (-3)/(-5) - (-56)/5*2. 22 Let m(r) be the third derivative of 0 + 2/3*r**3 + 0*r - 1/6*r**4 + 7*r**2 + 1/12*r**5 - 1/120*r**6. Calculate the remainder when 38 is divided by m(2). 6 Suppose 0 = -7*c + 82 + 16. Let v = -123 + 288. Calculate the remainder when v is divided by c. 11 Let p = -19 - -25. Suppose 0*u - v - 38 = -2*u, 0 = -4*u - 4*v + 64. Calculate the remainder when 11/(((-10)/p)/(-5)) is divided by u. 15 Suppose 3 = -4*t + 3*x + 25, -x = 2. Suppose -7*c + 12 = -4*c. Calculate the remainder when 118/c - (-2)/t is divided by 16. 14 Suppose 17*h - 22*h - 5*v = -2575, -4*h = 2*v - 2062. Calculate the remainder when h is divided by 11. 10 Let b = 167 + -109. What is the remainder when b is divided by 8? 2 Let g = -264 + 491. What is the remainder when g is divided by 72? 11 Let j(y) = 2*y - 17. Let m be j(10). Suppose 2*g = -5*b + 27, b + m*b = -4*g + 12. What is the remainder when 53 is divided by b? 4 Let n(c) = -c**2 + c + 4. Let a be n(2). Let z(w) = w + 10*w**a + 3*w - 6*w - 9*w**2 + 2. Calculate the remainder when 28 is divided by z(4). 8
Solve -16 = -4*c - 4*n, -13*n + 9 = 3*c - 11*n for c. 1 Solve 4*u = -4*t - 12, t - 33 = 5*u - 12 for u. -4 Solve -3*a = -6*a + i + 5, -3*i + 1 = -a for a. 2 Solve 0 = 4*c + 4*u - 40, 0*c = 2*c + 3*u - 25 for c. 5 Solve -o + 2*i + 13 = 0, 2*i - 37 = -5*o + 5*i for o. 5 Solve 3*g = 4*w - 23, 3*g + w = 4*w - 21 for g. -5 Solve 2*p + 2*h - 6 = 0, 5*h + 3 = -10*p + 11*p for p. 3 Solve -6*t + 10*t = -2*s + 8, 3*t - 16 = s for s. -4 Solve -21 = 3*q + 3*f, 2*q - 5*f + 0 = 7 for q. -4 Solve -y - 10*v + 14*v - 8 = 0, 5*v - 10 = 4*y for y. 0 Solve d = -p + 5*d - 11, p - 3 = -3*d for p. -3 Solve 3*g + 9 = -2*t, 5*t + 31 = -g + 15 for g. -1 Solve 5*z - 5*r + 30 = 0, 5*r - 2241 + 2217 = -z for z. -1 Solve 0 = -2*s - 2*b + 6, -s - 5 = 8*b - 9*b for s. -1 Solve 4*w - 4*r = 20, 2*r + 1 + 0 = -w for w. 3 Solve 2*g - 3*n + 21 = 0, -52*n - 34 = 3*g - 57*n for g. -3 Solve 0 = 2*x - 20*z + 16*z + 14, -z = -3*x - 1 for x. 1 Solve -5*r = 4*y - 10, -127*r + 122*r = y - 10 for y. 0 Solve -2*f = 5*x - 5, 5*x + 5*f - 5 = -0*f for x. 1 Solve 2*y + 18 = -5*o, o - 4*y + 3 = -5 for o. -4 Solve -3*y - 2*f + 3 = 0, 0 = -8*y + 3*y + 3*f + 24 for y. 3 Solve 0 = o - 5*j - 5, -6*o - 3*j + 15 = -3*o for o. 5 Solve q + 3 = 3*f + 5*q, 2*f + q - 7 = 0 for f. 5 Solve -2*b = -7*b + 2*k + 13, 0 = -5*k - 20 for b. 1 Solve 0 = 5*k - 4*u + 16, -5*k - u + 1 = -3 for k. 0 Solve x + 5*f = -22, 2*f + 28 = 5*x + 3 for x. 3 Solve 26 = -5*f + t + t, -t + 3 = 0 for f. -4 Solve 3*z = 15, 11*z = y + 13*z - 10 for y. 0 Solve -45*b + 2*u + 9 = -46*b, 13 = -5*b - 2*u for b. -1 Solve 2*r - 2*b - 1 = 7, -3*r = 2*b - 17 for r. 5 Solve 33*y - 30*y = 2*z - 6, -5*z - 3*y - 27 = 0 for z. -3 Solve -4*n + 2*n = -2*g + 12, 4*g - n = 15 for g. 3 Solve -5*y - 30 = 4*d, y = -d + 2 - 9 for d. -5 Solve -m - 2*w - 1 = 0, 41*m - 46*m + 5*w - 20 = 0 for m. -3 Solve -3*a - 3*y = 18, 5*a = -0*y + 3*y - 14 for a. -4 Solve 0*v + 5*v = -30, -5*v = -5*p + 35 for p. 1 Solve -2*k + 3*n = 17, 88 = -5*k + 2*n + 73 for k. -1 Solve -2*d = 5*b - 22, d + 2*d + 9 = 3*b for b. 4 Solve -2*t - 2*t + 4 = 3*g, 2*g - 1 = -t for g. 0 Solve 2*u = -3*q - 3, -2*q - 221*u + 218*u = 2 for q. -1 Solve -31 = -4*x - 11, -4*x + 30 = -5*u for u. -2 Solve -l - l = -n - 2, 0 = -2*l + 2*n for l. 2 Solve 4*h + 2*q - 4*q = -8, -h + 4 = -2*q for h. -4 Solve 7*n = -4*x - 42, -5*x + 12 = -19*n + 17*n for x. 0 Solve -7*j - 5*t - 5 = -2*j, t - 11 = 2*j for j. -4 Solve -5*m + 25*c + 3 = 24*c, -2*m = 5*c + 15 for m. 0 Solve 14 = 3*k + 2*f, -k + 26 = 4*f + 18 for k. 4 Solve 3*k - i - 1 = -16, 5*i = -3*k + 3 for k. -4 Solve 3*i = 2*k + 3, 0 = 5*i + 4*k + 165 - 170 for i. 1 Solve -4*d + 12 = -5*j + 4*j, j = 0 for d. 3 Solve 0 = 2*w - 2*d - 12, -29*w + 4 = -30*w - d for w. 1 Solve -b + 23 + 6 = -5*l, -41 = 5*l - 4*b for l. -5 Solve -z + 18 = -2*x - 4*z, -1 = -5*x + 4*z for x. -3 Solve 2*c - 25 = 5*i - 51, i + 38 = -5*c for c. -8 Solve -4*d - 5*z + 17 = 0, 0 = -14*d - z - 20 - 3 for d. -2 Solve i + 8 = -b, -3*i + 7 = -4*b - 2*i for b. -3 Solve -36*q + 2 = -40*q + 2*a, -2*q - 2*a = -8 for q. 1 Solve 0 = k - 5*t - 2, -140*k - 4 = -142*k - 2*t for k. 2 Solve y - 4 = d, -4*y + 10 + 10 = 0 for d. 1 Solve 5*y = 2*h + 17, -2*h + 4 = -16*y + 18*y for y. 3 Solve -3*n - 5 = -a, -4*n - 17*a = -14*a + 24 for n. -3 Solve -19 = -5*j + 2*i, 12*j - 8*j + 4*i = 4 for j. 3 Solve 2*i = 2*x - 12, 0*x - 5*i = -x + 26 for x. 1 Solve 5*b = -5*z - 22 + 7, 3*b = 3*z - 3 for b. -2 Solve 2*d - 4*m = -41 + 11, 3*m = 5*d + 40 for d. -5 Solve 0 = -3*i, 2*u - 18 = 4*i - 26 for u. -4 Solve -139*h = -140*h - r + 9, 5*h = -2*r + 36 for h. 6 Solve -3*w + 15 = 3, w = v + 9 for v. -5 Solve -2*f - 5 = -5*y - f, -y + 8*f = -1 for y. 1 Solve n - 4*r = -10, -r - 2 = -3*n + 1 for n. 2 Solve 5*t = y + 34, y = 21*t - 17*t - 28 for y. -4 Solve m + 15 = 2*q, -4*q - 3*m - 5 = -2*q for q. 5 Solve -5*r + j + j + 7 = 0, 5*j + 6 = r for r. 1 Solve 0 = 5*w - 3*v - 15, -12*v + 9*v + 9 = 3*w for w. 3 Solve -n = -w, 0 = 36*n - 33*n + 15 for w. -5 Solve 2*f - 5 = 3*c - 3, -6 = f + 2*c for f. -2 Solve -5*u + 42 - 15 = 3*r, 0 = 4*u + r - 16 for u. 3 Solve 5*a + 4*h + 3 = 0, a - h + 6 = -0*a for a. -3 Solve -3*n - 3 = -4*x + 5, -4*x + 16 = -5*n for x. -1 Solve 4*t = -3*c - 21 - 2, 3*c = -t - 8 for t. -5 Solve -3*p + 18 = 5*o, 0 = 2*o - 4*p - 2 - 0 for o. 3 Solve 3*v + 19 = -r + 7*v, -5*v = -4*r - 10 for r. 5 Solve 0 = 2*f - 8*m + 12*m - 16, 0 = f - 2*m + 16 for f. -4 Solve 5*k = 9*j - 4*j - 30, -j + 4*k = -18 for j. 2 Solve -4*x - 12 = 0, 4*g - 5*x + x - 12 = 0 for g. 0 Solve 4*i = 3*x + 10 - 1, -8 = -2*i - 2*x for i. 3 Solve 22 = 5*r - 3*k, r - 3*k = -0*r + 14 for r. 2 Solve 5*y + 11 = 4*w, 3*w - 9 - 4 = -y for y. 1 Solve 4*s - 36 = -3*m + 7*m, -5*s = -m - 29 for s. 5 Solve 4*g - 6 = 2*x, 7 = 4*x - 2*g + 1 for x. 3 Solve c + 4*a - 7 = 0, 5*c = 6*a - 5*a + 14 for c. 3 Solve 3*z - u = 0, -2*u + 3 + 7 = 4*z for z. 1 Solve 0 = 4*c - 5*n - 29, -c + 2 = n + 6 for c. 1 Solve 10 = -2*w - 5*f + f, w - 2 = 5*f for w. -3 Solve -3*m + 5*n = -4*m - 14, 2*m - 11 = 3*n for m. 1 Solve -4*m + s + 6 = -2, 0 = -5*s + 20 for m. 3 Solve 13*z + 9 = x + 16*z, -3*z = -5*x + 27 for x. 6 Solve -f + 0*f = 2*b + 6, 0 = -3*f + 12 for b. -5 Solve 5*i - 10 = -3*u + 3, i - 17 = 3*u for i. 5 Solve -2*p = -2*m - 20, 4*p + 13*m = 9*m for p. 5 Solve -2*y + 4*a = 3*y + 1, 4*a = 4*y + 4 for y. 3 Solve 0 = -5*o + 30, -994 = -3*h - o - 982 for h. 2 Solve 3*n - 9 = 0, 0*n = 2*g + 2*n - 2 for g. -2 Solve -252*x + 247*x = -2*t - 22, -2 = -2*t - x for t. -1 Solve -3*n = 6 + 6, -4*y + 4*n + 12 = 0 for y. -1 Solve 2*k - 3*v + 7 = 0, 2*v - 3 = -0*k + 3*k for k. 1 Solve 2*m = 0, -4*m = -3*h + 18 - 6 for h. 4 Solve -m - 373*g = -374*g + 1, -3 = 3*m - 4*g for m. -1 Solve 0 = 5*c + 4*d + 10, 4*d = -2*c + 5*d - 4 for c. -2 Solve 0 = -3*v - 14*q + 11*q - 9, -2*v + 18 = -4*q for v. 1 Solve o - 2*v + 8 = 0, 40 = -2*o - 2*v + 42 for o. -2 Solve -5*a + 2*d = -12, 5*d + 21 = 4*a + 8 for a. 2 Solve 0 = -4*q + y + 3, 10*q + 2*y - 6 = 6*q for q. 1 Solve -b + 2*r = b + 16, -2*b = 2*r - 4 for b. -3 Solve -87*v - 4*a - 10 = -88*v, 2*v = 3*a for v. -6 Solve 0 = -t - 3, 3*q + 4*t = -2*q - 7 for q. 1 Solve -3*q - 3*z - 1 + 10 = 0, 5*q - z - 21 = 0 for q. 4 Solve 0 = -6*n + 3*i + 45, -10*n + 15 = -9*n - 2*i for n. 5 Solve -2*d = 39*o - 37*o - 4, -2*d = o - 1 for d. -1 Solve 0 = 5*a - s + 24, 2*a - 5*s + 2 = -3 for a. -5 Solve -4*a = v + 13, 89 - 95 = 3*a - 3*v for a. -3 Solve 3*v + 4*z + 17 = 0, -2*v - 2*z - 10 + 2 = 0 for v. 1 Solve 0 = 3*z - i + 5, -z + 10 = -i + 3*i for z. 0 Solve 5 + 2 = -2*j + v, 5*j + 28 = -v for j. -5 Solve -c + 8 = -f + 6, f = -4*c + 8 for c. 2 Solve -159*n = k - 157*n + 10, -4*k + 4*n = 4 for k. -4 Solve -3*k = 5*j + 22 + 10, -5*j - 40 = 5*k for k. -4 Solve 2*m - 2*j = 2, 3 + 0 = 3*m + j for m. 1 Solve -4*h = 0, 2*h + 2*h - 3 = 3*k for k. -1 Solve -2*u + 3*v + 12 = -2, -3*v - 12 = 0 for u. 1 Solve 0 = 2*y + 4*z - 16, -2202*y + 2200*y + 2*z + 4 = 0 for y. 4 Solve -f = 4*s + 4, -3*f = -2*f + 5*s + 6 for f. 4 Solve 2*o - 2*k - 10 = 0, 0 = -o - o - 3*k - 5 for o. 2 Solve 4*q - 31 = 5*r, 0 = 2*q + q + 2*r - 6 for q. 4 Solve -3293*x - 22 = -3294*x + 5*r, -4*x - 4 = 3*r for x. 2 Solve -3*m + 3*o = -6, o + 21 - 23 = -m for m. 2 Solve -m + 0 + 13 = 5*b, 4*b - 20 = -4*m for m. 3 Solve 0*z - 2*z + 6 = -4*t, -31 = 3*z + 4*t for z. -5 Solve 29*r = -2*a + 28*r - 8, -2*a = -2*r + 8 for a. -4 Solve 2*n = -3*v + 3 - 1, -4*v + 36 = -4*n for n. -5 Solve -2*r - 2*d + 33 = -7*d, 5*d + 21 = -r for r. 4 Solve -5*f - 9*v + 5 = -4*v, 3*v - 9 = 0 for f. -2 Solve -2*h + y - 8 = 0, 4*h = -3*y + 14 - 20 for h. -3 Solve 4*i + 2 = -2*k + 4*k, 2*i = 4*k + 2 for i. -1 Solve m - 12 = 4*k, 0 = -19*k + 20*k + 3*m + 3 for k. -3 Solve y = 5*i + 1, -5*y - i + 2 = 23 for y. -4 Solve -5*b + 37 = -3*o, 3*o - 5*b + 2*b = -27 for o. -4 Solve -8*g + 3*v = -5*g + 15, 4*v - 5 = g for g. -5 Solve j + 18 = 5*o, 3*o - 13 - 8 = 4*j for j. -3 Solve -f - 2*b = 0, -3*b + 8 = -f - b for f. -4 Solve 5*a - c = -6 - 14, 2*c = 2*a + 16 for a. -3 Solve 0 = 5*f + 4*o - 13, -1 = -2*o + 3 for f. 1 Solve 0*v = -3*v - 6, d - 2*v = 6 for d. 2 Solve -5*u + 3*o - 27 = 3, 4*u = 5*o - 37 for u. -3 Solve 18 = -2*c + 4*o, -c + 0*o = 3*o - 1 for c. -5 Solve 2*n - 9 = -5*i, 9*n - 7*n - 3 = -3*i for n. -3 Solve 27 = 2*h + 5*v, 20*h + v - 10 = 15*h for h. 1 Solve -16*l = 5*f - 11*l, 11*l + 28 = 3*f for f. 2 Solve 3*f = -4*t + 10, -f - 6 - 12 = -4*t for f. -2 Solve 1 = -4*l - 2*k + 5, 4*l - 3*k = -6 for l. 0 Solve -7*r = -4*r + 3*l + 21, r - 5*l = 11 for r. -4 Solve -8 = 3*t - 2, 0 = 2*k - t for k. -1 Solve 2*j + 3*y - 14 = 0, 8*j - 3*j - 28 = -4*y for j. 4
Let y(c) be the second derivative of 0 - 1/6*c**4 - 9/2*c**2 + 6*c + 0*c**3. Let f(z) be the first derivative of y(z). Let j(u) = u. Give j(f(d)). -4*d Let u(p) = p - 8. Let n(s) = 95*s + 89*s + 89*s - 268*s. Give u(n(r)). 5*r - 8 Let n(z) = -94*z**2. Let y(l) = -20*l**2 - 20*l**2 + 42*l**2. Determine y(n(k)). 17672*k**4 Let o(x) = 19*x - 115*x + 89*x. Let h(a) be the third derivative of 5*a**4/24 - a**2. Give h(o(t)). -35*t Let s(i) = 16*i. Let z(g) = 3*g**2 + g - 90. Give z(s(d)). 768*d**2 + 16*d - 90 Let n(d) = -6*d**2. Suppose -40*k = -43*k + 138. Let z(i) = k*i + 48*i - 81*i. Give n(z(c)). -1014*c**2 Let z(t) = -16*t. Let n(y) = -7*y**2 + 13*y**2 - 5 + 3*y**2 - 6*y**2 + 5*y. Let a(g) = -2*g**2 - 4*g + 4. Let k(d) = -5*a(d) - 4*n(d). Calculate z(k(h)). 32*h**2 Let q(y) = -y**2 + 64*y. Let a(w) = 554*w - 2. Give q(a(u)). -306916*u**2 + 37672*u - 132 Let n(v) be the first derivative of v**2/2 - 6. Let x(k) = -35 - 10*k + 36*k + 35 + 20*k. What is x(n(y))? 46*y Let g be ((-9)/3)/((-12)/8). Let q(h) = -1 + g + 2*h**2 - 1. Let y(r) be the second derivative of 5*r**4/6 + 13*r. Give y(q(j)). 40*j**4 Let l(p) be the third derivative of 0*p + 0*p**3 + 0*p**4 + 0 - 11*p**2 - 1/20*p**5. Let h(x) = -6*x. Give h(l(d)). 18*d**2 Let i be (8*-1)/(0 - 1). Let q(v) = 3*v - 13*v + i*v + 3*v. Let k(m) = m - 3*m - 4*m. Give q(k(u)). -6*u Suppose -4*x + 9 - 1 = 0. Suppose 3*q + x*q - 20 = 0. Let j(m) = -20 + 20 - q*m. Let h(t) = 4*t. Determine j(h(r)). -16*r Let v(g) = -2*g**2. Let b(c) = 183847*c. Determine v(b(y)). -67599438818*y**2 Let z(t) = 151201*t. Let w(j) = 4*j. Give w(z(u)). 604804*u Suppose 0*c - 8 = -4*c. Let l(k) = -79*k**2 - 72*k**c + 144*k**2. Let u(d) = -2*d. Determine u(l(g)). 14*g**2 Let n(b) = -2*b**2. Let q(g) = -35*g - 2*g - 6*g - 22*g - 4*g. Calculate n(q(s)). -9522*s**2 Let z(k) = -2*k**2 - 10*k. Let m(f) = -14*f - 7*f + 20*f. Let r(j) = -10*m(j) + z(j). Let a(y) be the second derivative of -y**4/2 + 2*y. Determine a(r(g)). -24*g**4 Let x be 6/(-9) - (-160)/15. Let m = -8 + x. Let d(t) = -m*t**2 + 3*t**2 + t**2. Let u(v) = 2*v**2. What is d(u(r))? 8*r**4 Let v(i) = -i**2. Let k(x) = 1405*x**2 - 165*x - 55. Let p(n) = -52*n**2 + 6*n + 2. Let f(b) = -6*k(b) - 165*p(b). Calculate f(v(s)). 150*s**4 Let p(z) = -12*z + 5*z + z + 25*z**2. Let i(c) = 2*c**2. Give p(i(f)). 100*f**4 - 12*f**2 Let y(z) = -55*z - 49*z + 108*z - 3. Let x(r) = -7*r + 5. Let n(l) = 3*x(l) + 5*y(l). Let s(c) = 22*c. Calculate n(s(w)). -22*w Let d(a) = 359*a. Let j(b) be the third derivative of -b**5/60 - 19*b**2 + 5*b. Determine j(d(t)). -128881*t**2 Let b(s) = -2*s**2. Let h(o) = -337448*o**2. Calculate b(h(m)). -227742305408*m**4 Let j(m) = -441*m. Let o(g) = -33*g + 3. What is o(j(b))? 14553*b + 3 Let b be (-6 - 25/(-4))*8/1. Let s(o) = -14*o**2 - 17*o**2 - 7*o**2 + 64*o**b. Let p(c) = -c**2. Calculate p(s(l)). -676*l**4 Let r(p) = 53*p - 176*p + 58*p + 56*p. Let y(t) = -5*t - 1. What is y(r(v))? 45*v - 1 Let z(q) = -2*q**2. Let m(h) be the second derivative of h**3/2 - 3*h**2/2 + 5*h + 7. Calculate m(z(u)). -6*u**2 - 3 Let m(h) = -h. Let p(z) = -26*z**2 + 286. Calculate m(p(i)). 26*i**2 - 286 Let t(f) = 6*f - f - 15*f. Let p(b) = 13*b. Let a(g) = 3*g. Let y(o) = -9*a(o) + 2*p(o). Calculate t(y(r)). 10*r Let o(l) = 49*l. Suppose -4*k + 2 + 6 = 0. Let i(q) = 0*q**2 - k*q**2 - 8*q**2 + 8*q**2. Determine i(o(f)). -4802*f**2 Let z(i) be the third derivative of 0 - 1/30*i**5 + 0*i + 0*i**3 + 0*i**4 + 15*i**2. Let w(g) = 2*g. Give z(w(j)). -8*j**2 Let d(y) = -21*y. Let w(p) be the third derivative of 16*p**2 + 0*p**4 + 0*p + 0 + 0*p**3 + 1/60*p**5. Give d(w(j)). -21*j**2 Let i(t) = -31*t. Let s(g) be the second derivative of 24*g - 1/6*g**3 + 0*g**2 + 0. Calculate s(i(k)). 31*k Let r(u) = u + 1. Let t(s) = 4*s + 6. Let l(j) = 6*r(j) - t(j). Let v(q) be the second derivative of 0 + 2*q + 1/2*q**3 + 0*q**2. Give v(l(n)). 6*n Let b(d) = 260*d. Let i(n) be the third derivative of -n**5/30 - 557*n**2. Calculate i(b(g)). -135200*g**2 Let q(u) = -14*u**2 + 2. Let g(m) = 29*m**2 - 5. Let r(y) = -2*g(y) - 5*q(y). Let o(s) = -s**2. Determine o(r(i)). -144*i**4 Let w(x) = x**2 + 3*x - 3. Let r be w(1). Let h(z) = -z - 3. Let m(f) = -1. Let v(u) = r*h(u) - 3*m(u). Let d(n) = 3*n**2. Calculate v(d(o)). -3*o**2 Let f(d) = 3*d + 2. Let i(v) = 18 - 7 + v - 6 + 6*v. Let h(c) = -5*f(c) + 2*i(c). Let t(r) = 23*r. Calculate t(h(g)). -23*g Suppose 3*x = -5 + 14. Let z(f) = -4*f + x*f + 4*f. Let w(n) = 2*n**2 + 6*n - 6. Let g(u) = 3*u**2 + 10*u - 10. Let t(d) = -3*g(d) + 5*w(d). Calculate z(t(p)). 3*p**2 Let s(b) = -b**2 + 0*b**2 + 5*b**2 + b**2 - 2*b**2. Let t(g) = -11*g. Let l(x) = 210*x. Let k(d) = 3*l(d) + 56*t(d). What is k(s(h))? 42*h**2 Let w(r) = r**2 - 15*r + 7*r**2 + 24*r - 9*r. Let h(m) = 12*m. What is h(w(b))? 96*b**2 Suppose 4*k + 125 - 374 = -5*a, -5*a + 5*k = -240. Let f(x) = -5*x + a - 49. Let h(d) = -4*d**2 + 5*d**2 - 1161 + 1161. Give h(f(v)). 25*v**2 Let u(z) = -2*z. Let w(r) = 168 + 53*r**2 + 24*r**2 - 110*r**2 - 166 - 124*r**2. Give u(w(q)). 314*q**2 - 4 Let h(c) = -c**2 + c. Let u(o) = 280*o**2 + 120*o. Let z(r) = -120*h(r) + u(r). Let l(b) = 3*b**2. Calculate l(z(j)). 480000*j**4 Let m(f) be the first derivative of f**3/3 - f**2 - f - 6. Let q be m(-1). Let n(o) = -3*o**2 + 8*o**q - o**2. Let k(a) = 3*a**2. Give k(n(w)). 48*w**4 Let m(r) = 2*r. Let s(y) = 8*y - 7. Let t(h) = 9*h - 6. Let b(q) = -2*s(q) + 3*t(q). Determine b(m(d)). 22*d - 4 Let v(w) = w**2 - 301*w. Let q(l) = 65*l**2 - 4. What is v(q(c))? 4225*c**4 - 20085*c**2 + 1220 Let i(x) = 716*x**2 - 358*x**2 - 359*x**2. Let n(k) = k**2. Determine i(n(d)). -d**4 Let m(j) be the second derivative of j**3/6 + 16*j - 5. Suppose 0 = p - 3*p + 38. Let h(v) = -1 - p*v - 3 + 4. What is h(m(g))? -19*g Let q(t) = -79*t. Let n(y) = 37*y. Let w(s) = -13*n(s) - 6*q(s). Let k(g) = 46*g**2. Calculate w(k(j)). -322*j**2 Let s(k) = -3*k**2 - 4*k - 4. Let h(p) = p**2 + p + 1. Let r(i) = -4*h(i) - s(i). Let f(w) be the third derivative of w**5/15 + 36*w**2 + 2. Determine f(r(a)). 4*a**4 Let i(d) = 11*d**2 - 227*d. Let s(y) = 2*y. What is i(s(x))? 44*x**2 - 454*x Let z(b) = -31*b**2 - 35*b**2 - 35*b**2 + 113*b**2. Let k(y) = -19*y**2. Calculate z(k(n)). 4332*n**4 Let c(x) = -3*x. Let g(p) = 40868*p - 2. Give g(c(i)). -122604*i - 2 Let t(c) = -c**2. Let i(p) = 8*p**2 + 19*p**2 - 6*p**2 + 29*p**2. What is i(t(x))? 50*x**4 Let d(j) = -2*j. Let i(x) = 447*x - 532. Give i(d(n)). -894*n - 532 Let r(g) be the third derivative of g**6/360 + 11*g**3/2 + 11*g**2. Let v(j) be the first derivative of r(j). Let o(x) = 19*x**2. Determine v(o(p)). 361*p**4 Let i(q) = 12*q. Suppose 6*m - m + 6 = 3*p, 2*p - 2*m - 4 = 0. Let r(l) = -3*l**2 - 4*l**p + 8*l**2. Determine r(i(z)). 144*z**2 Let u(m) be the second derivative of -2/3*m**3 + 0 + 0*m**2 + 2*m. Let r(i) = -6*i - 16. Let s(x) = 2*x + 5. Let c(p) = 5*r(p) + 16*s(p). What is u(c(a))? -8*a Let k(r) = -r. Let g(v) = 3*v + 1220. Calculate g(k(z)). -3*z + 1220 Let j(b) = -1626*b. Let i(k) = 15*k**2. What is j(i(g))? -24390*g**2 Let t = 4 - 2. Suppose -t*o + 2 = 4*r, 5*r + 4 = 5*o - 1. Let i(d) = 2*d**2 + r*d - 5*d**2 + 0*d. Let f(z) = z**2. Calculate f(i(u)). 9*u**4 Let g(a) = -2*a**2. Let j(u) = 57*u + 2*u - 10*u - 2*u**2 + 40*u + 8*u. What is j(g(y))? -8*y**4 - 194*y**2 Let t(d) = -74284*d**2 + 1. Let h(r) = r. Give h(t(x)). -74284*x**2 + 1 Let l(z) be the first derivative of 0*z**2 + 0*z + 8/3*z**3 - 4. Let f(p) = p**2 + p. Let k(t) = -4*t**2 - 3*t. Let r(g) = -3*f(g) - k(g). Determine r(l(w)). 64*w**4 Let r(n) = 214*n**2. Let d(x) = 73*x + 3. Give r(d(v)). 1140406*v**2 + 93732*v + 1926 Let m(l) = 30*l. Let h(n) = -20*n + 2*n - 10*n + 8 - 8. Give m(h(g)). -840*g Let k(v) = -v**2 + 2*v**2 + v**2. Let s(r) be the second derivative of 10*r**3/3 - 183*r. Give s(k(q)). 40*q**2 Let t(l) = 10273998*l**2. Let z(h) = -2*h**2. Calculate t(z(u)). 41095992*u**4 Let t(j) = -8*j + 63. Let g(n) = 9*n**2 + 4. Let l(i) = 7*i**2 + 3. Let q(m) = -3*g(m) + 4*l(m). Give q(t(o)). 64*o**2 - 1008*o + 3969 Let l(s) = -3 + 3 + 0 + 725*s**2 - 727*s**2. Let i(r) = 8*r**2 - 21*r. Give i(l(z)). 32*z**4 + 42*z**2 Let j = -68 + 81. Let a(u) = j*u + 9*u - 5*u**2 - 22*u. Let o(s) = 6*s. Calculate o(a(i)). -30*i**2 Let a(j) be the first derivative of -j**6/360 + 4*j**3/3 - 9. Let q(i) be the third derivative of a(i). Let o(m) = -m. Give q(o(z)). -z**2 Let k(c) = -13343*c**2. Let r(v) = -8*v. What is r(k(i))? 106744*i**2
Collect the terms in 5*d - 23*d + 6*d - 8*d - 2*d. -22*d Collect the terms in 52*c - 83*c + 35*c - 30*c**2. -30*c**2 + 4*c Collect the terms in -3508 - 5*p**3 + 1047 + 2461. -5*p**3 Collect the terms in -289*u + 76*u + 72*u + 70*u + 75*u. 4*u Collect the terms in 65*t + 76*t - 120*t - 12*t. 9*t Collect the terms in -31581*y**3 + 3 - 3 + 94739*y**3 - 31570*y**3 - 31581*y**3. 7*y**3 Collect the terms in -6781*r**2 + 2*r**3 + 6781*r**2 + 132. 2*r**3 + 132 Collect the terms in 26 + 13933*a**3 - 54 - 13934*a**3. -a**3 - 28 Collect the terms in -13*g**2 + 20 - 55 + 14*g**2 + 13 + 22. g**2 Collect the terms in -n**2 + 8986 - 8986 + 3*n**2 + 2*n**2. 4*n**2 Collect the terms in 6303*s + 6287*s - 4404*s + 4308*s. 12494*s Collect the terms in 457*s**3 - 1301*s**3 + 607*s**3. -237*s**3 Collect the terms in 124*s + 164*s - 2*s**3 - 122*s. -2*s**3 + 166*s Collect the terms in 36*k - 61*k + 12*k. -13*k Collect the terms in -2*b + 2*b - 3*b**3 + 11*b**3 + 14*b**3. 22*b**3 Collect the terms in -3261*a**2 - 9569*a**2 + 12832*a**2. 2*a**2 Collect the terms in -2*d - 437 + 149 + 149 + 139. -2*d Collect the terms in -40*f**2 - 2 - 31*f**2 - 51*f**2 + 1 - 37*f**2 + 87*f**2. -72*f**2 - 1 Collect the terms in -95090*k + 47543*k + 47543*k. -4*k Collect the terms in -793502*h + 793502*h - 966*h**2 + 965*h**2. -h**2 Collect the terms in -28*k + 2*k + 12*k - 10*k. -24*k Collect the terms in -76790*i + 38436*i + 38349*i. -5*i Collect the terms in -2 - 3 - 249*l + 197*l - 361*l + 1. -413*l - 4 Collect the terms in -8*q**3 - 362*q**2 + 209*q**3 + 362*q**2. 201*q**3 Collect the terms in 59*c + 39*c**2 + 120*c**2 + 37*c**2 - 60*c. 196*c**2 - c Collect the terms in -5*u**2 + 12*u - 14*u + 10*u. -5*u**2 + 8*u Collect the terms in -355*a**3 + 186*a**3 + 167*a**3. -2*a**3 Collect the terms in g**2 - 730*g + 1430*g - 700*g + 5*g**2. 6*g**2 Collect the terms in 78 + 16*y - 4*y**2 + 26*y - 42*y. -4*y**2 + 78 Collect the terms in 18156*n + 24323*n - 26*n. 42453*n Collect the terms in j + 94 + 55*j + 81*j. 137*j + 94 Collect the terms in -29221*j**2 - 29222*j**2 + 58449*j**2. 6*j**2 Collect the terms in 3705*z - 1853*z - 12*z**2 + 23*z**2 - 12*z**2 - 1852*z. -z**2 Collect the terms in 0 - 123*r + 0 - 146*r + 374*r - 109*r. -4*r Collect the terms in -7*k - 15*k - 8*k + 10*k**2 - 18*k - k. 10*k**2 - 49*k Collect the terms in -37499*v**3 + 7*v**2 - 7*v**2 + 37404*v**3. -95*v**3 Collect the terms in -126*w**3 - 199*w**3 - 147*w**3. -472*w**3 Collect the terms in -220*v + 1 + 89*v + 70*v. -61*v + 1 Collect the terms in 543*l - 52*l**2 - 63*l**2 - 544*l. -115*l**2 - l Collect the terms in 545*i**3 - 3159*i**3 - 824*i**3. -3438*i**3 Collect the terms in 3*f**3 - 1283339360*f + 1283339360*f. 3*f**3 Collect the terms in 368 + 7*g + 364 + g - 756. 8*g - 24 Collect the terms in 12 + 3 - 54 + 16 + 6*y. 6*y - 23 Collect the terms in 97*v - 7316 + 7316 - 82*v. 15*v Collect the terms in -2*q**2 - q**3 + 5 - 1 + 0 - 4*q**3. -5*q**3 - 2*q**2 + 4 Collect the terms in 7 + 0 - 3 + 1 - 283*p**3. -283*p**3 + 5 Collect the terms in -1663*p**3 - 355*p**3 + 99*p**3. -1919*p**3 Collect the terms in 11*v**2 + 4*v**2 - 27*v**3 + 45*v**3 - 20*v**3 - 15*v**2. -2*v**3 Collect the terms in 459 - 235 - 224 - 77*p**3. -77*p**3 Collect the terms in -3 - 20*n + 11*n**2 - 13*n + 6*n + 2. 11*n**2 - 27*n - 1 Collect the terms in 324*c + 321*c - 102*c**3 - 972*c + 326*c. -102*c**3 - c Collect the terms in -732921*f - 3*f**3 + 732921*f. -3*f**3 Collect the terms in 23*z**3 - 10*z**3 - 68*z**3 - 8*z**3 - 38*z**3. -101*z**3 Collect the terms in -6*t + 1402 + 1409 + 11*t - 2811. 5*t Collect the terms in 70*n - 7 - 42*n + 29*n. 57*n - 7 Collect the terms in 113 + 2635*l + 369*l - 224 + 111. 3004*l Collect the terms in -1360*j**2 - 124*j + 124*j + 1355*j**2. -5*j**2 Collect the terms in 57*y**2 - 226*y**2 + 52*y**2 + 52*y**2 + 52*y**2. -13*y**2 Collect the terms in -24*q**3 - 60*q**3 - 87*q**3. -171*q**3 Collect the terms in -3 + 3 - 137637*k + 137638*k. k Collect the terms in 9585919 - i - 12*i**3 + 2*i - 9585919. -12*i**3 + i Collect the terms in 2*a + 1373783*a**2 - 1373785*a**2 + 0 - 2*a - 8. -2*a**2 - 8 Collect the terms in 72 - 334 + 262 + 6*x. 6*x Collect the terms in 39*c - c**3 + 20 + 48 - 39*c. -c**3 + 68 Collect the terms in -154*u**2 - 56*u**2 + 280*u**2. 70*u**2 Collect the terms in -436*m + 5*m**2 - 291 + 287 - 4*m**2. m**2 - 436*m - 4 Collect the terms in -137*y**2 + 3751*y**3 + 137*y**2. 3751*y**3 Collect the terms in 4757*p - 4 + 4 - 4759*p. -2*p Collect the terms in 7*p - 380*p**2 - 639*p**2 - 7*p. -1019*p**2 Collect the terms in -138 - 34*q + 63*q - 33*q + 282 - 144. -4*q Collect the terms in -38*c + 22*c + 16*c + 2245*c**3. 2245*c**3 Collect the terms in 100*q + 78 + 193*q - 293*q - 2*q**3 - 78. -2*q**3 Collect the terms in -79*o**3 - 80*o**3 - 67*o**3 - 77*o**3 + 295*o**3. -8*o**3 Collect the terms in 20440*a + 6*a**2 - 20440*a + 12*a**2. 18*a**2 Collect the terms in 1466*p + 46*p**3 + 237*p**3 + 84*p**3 - 1466*p. 367*p**3 Collect the terms in 1232 - 614 - 15*h**2 + 7*h - 618 - 8*h. -15*h**2 - h Collect the terms in -3 + 3 - 28592*m. -28592*m Collect the terms in -69*q - 171 + 134*q - 63*q + 200. 2*q + 29 Collect the terms in 63*y**2 - 53*y + 59*y**2 - 123*y**2. -y**2 - 53*y Collect the terms in -15473*r**3 - 15468*r**3 + 30949*r**3. 8*r**3 Collect the terms in -266 - 122 + y + y - 67. 2*y - 455 Collect the terms in -2650*y**3 - 2641*y**3 - 2632*y**3 + 10552*y**3 - 2633*y**3. -4*y**3 Collect the terms in -5150*f - f**3 + 5150*f - 3. -f**3 - 3 Collect the terms in 80 - 34 + 10*b**2 - 6*b**2. 4*b**2 + 46 Collect the terms in -237*b + 123*b + 102*b. -12*b Collect the terms in w - 8908*w**2 - w + 0*w + 8902*w**2. -6*w**2 Collect the terms in 28*v**3 + 2*v**3 + 7*v + 4*v**2 - 8*v**3 + 2*v. 22*v**3 + 4*v**2 + 9*v Collect the terms in -13*a + 33*a + 29*a**2 - 20*a. 29*a**2 Collect the terms in -82628 - 15*o**2 + 82628. -15*o**2 Collect the terms in 8*g**3 - 415*g - 7*g**3 + 546*g + 677*g. g**3 + 808*g Collect the terms in 124 + 163 - 287 + b. b Collect the terms in 36*k**2 - 39*k**2 - 1 + 268*k + 1. -3*k**2 + 268*k Collect the terms in -47 + 37 + 1992*w + 10 - 3*w**2. -3*w**2 + 1992*w Collect the terms in -57*l**3 - 37*l**3 + 191*l**3. 97*l**3 Collect the terms in 2*d**2 - 64*d - 74*d + 117*d. 2*d**2 - 21*d Collect the terms in -32 - 72 + 65 - 2*z. -2*z - 39 Collect the terms in -318*n**3 - 325*n**3 + 926*n**3 - 306*n**3. -23*n**3 Collect the terms in 1438*q + 1794*q - 3230*q. 2*q Collect the terms in -51*j**3 + 193*j**3 + 2*j + 116*j**3 - 29*j**3. 229*j**3 + 2*j Collect the terms in 7*g**3 - 14*g**3 + 2*g**3 - 18 + 18. -5*g**3 Collect the terms in 7326*k**2 + 7333*k**2 - 23 - 14656*k**2 + 23. 3*k**2 Collect the terms in -4241*y - y**3 - 7569*y + 9684*y. -y**3 - 2126*y Collect the terms in 9*s**3 + 4*s - 10*s**3 + 126*s**2 - 36*s**2. -s**3 + 90*s**2 + 4*s Collect the terms in -2*s**3 - 451304646 + 451304646. -2*s**3 Collect the terms in 423*i**3 + 288*i**3 - 858*i**3. -147*i**3 Collect the terms in 2*f**2 + 3565*f**3 - 3*f**2 + f**2 - 3477*f**3. 88*f**3 Collect the terms in -17*u**2 + 7*u**2 + 43*u**2 - 13*u**2 - 16*u**2. 4*u**2 Collect the terms in 2035*o**2 + 2040*o**2 - 6113*o**2 + 2028*o**2. -10*o**2 Collect the terms in -4*w**2 - 30*w - 53*w + 83*w. -4*w**2 Collect the terms in 80 - 14*c - 11*c + 31*c - 9*c. -3*c + 80 Collect the terms in 4*u - 5*u - 3 + 4 - 14 - 5*u. -6*u - 13 Collect the terms in -1168*f**3 - 7*f + 0*f - 491*f**3 - 276*f**3. -1935*f**3 - 7*f Collect the terms in 54*b + 334*b + 448*b. 836*b Collect the terms in 211*v + 76*v + 562*v. 849*v Collect the terms in 4010*o**2 - 36 + 36. 4010*o**2 Collect the terms in -158*p - 2*p + 141*p. -19*p Collect the terms in -7*c - 8*c + 38*c - c - 9*c. 13*c Collect the terms in 5733*u - 5731*u - 8*u**2 + 27*u**2. 19*u**2 + 2*u Collect the terms in 4*j**2 - 19 + 3*j**2 - 39*j**2 + 28*j**2 + 19. -4*j**2 Collect the terms in 2*a - 708*a**2 - 711*a**2 - 701*a**2 + 2108*a**2 - 2*a. -12*a**2 Collect the terms in -118*z**2 + 2*z**2 + 229*z**2. 113*z**2 Collect the terms in -464116*a**2 + 928238*a**2 - 464124*a**2. -2*a**2 Collect the terms in 716002*h + 6*h**3 - 716002*h - h**3 - h**3. 4*h**3 Collect the terms in -414*r - 122*r - 18*r. -554*r Collect the terms in -1945*w**2 - 1932*w**2 - 1935*w**2 + 5845*w**2. 33*w**2 Collect the terms in -28*m**2 - 2916 + 28*m**2 + 2*m**3. 2*m**3 - 2916 Collect the terms in 29 + 39*c - 2*c**3 - 72*c + 31*c. -2*c**3 - 2*c + 29 Collect the terms in -6 + 6 - 6769*r + 2*r**2 + 5. 2*r**2 - 6769*r + 5
Let w(b) be the first derivative of b**7/84 - b**6/6 + 3*b**5/5 + 5*b**4/12 - 25*b**3/12 - 11*b + 72. Let i(j) be the first derivative of w(j). Factor i(v). v*(v - 5)**2*(v - 1)*(v + 1)/2 Let b(n) = -230*n**4 + 5330*n**3 - 30959*n**2 - 8554*n - 576. Let a(d) = -d**4 - 2*d**3 + d**2 - 2*d. Let s(y) = 5*a(y) - b(y). Factor s(o). (o - 12)**2*(15*o + 2)**2 Find k such that 1968/5*k - 402/5*k**4 - 56 + 2*k**5 + 382*k**3 - 3206/5*k**2 = 0. 1/5, 1, 2, 35 Let d(s) be the first derivative of 2*s**3/33 + 14*s**2/11 + 96*s/11 - 2430. Suppose d(q) = 0. Calculate q. -8, -6 Let k be (-1 - (-25)/45)/(2/(-9)). Let s be (k/9)/((-86)/(-129)). Suppose 1/3*u**3 + 0*u + 0 - s*u**2 = 0. Calculate u. 0, 1 Let a = 923 - 920. Find s such that 11*s**3 - 5*s**4 + a*s + 21 - 8*s - 2*s - 6*s**5 + 7*s**2 + 2*s**5 - 23 = 0. -2, -1, -1/4, 1 Let w(c) = c**2 - 8*c + 23. Let x be w(5). Let n be (1*4)/(1 + (x - 7)). Find h such that 7*h**5 + 64*h**3 - 3*h**2 - 78*h**3 - h**2 + 7*h + 2*h**4 + n = 0. -1, -2/7, 1 Let z(k) be the first derivative of 0*k**2 + 8 - 5/72*k**4 + 0*k + 35/3*k**3 - 1/1080*k**6 + 1/60*k**5. Let x(g) be the third derivative of z(g). Factor x(o). -(o - 5)*(o - 1)/3 Suppose -3 = 6*o - 21. Determine s, given that 11 + 104*s + 24*s**4 + 6*s**5 + 130*s**o + 2 + 170*s**2 + 11 + 22*s**4 = 0. -3, -2, -1, -2/3 Let h = -497 - -153. Let s = -117 - h. Suppose -224 - m + s + 3*m + m - 3*m**2 - 3*m**3 = 0. What is m? -1, 1 Suppose 0 = -3*v - d + 43, v - 3*v = 4*d - 32. Let y be 49/v - 3/6. Determine x, given that -2*x + 8 - 1 - y - 2*x**2 = 0. -2, 1 Let z(l) = -2*l**3 - 22*l**2 - 187*l - 2052. Let b be z(-11). Suppose -10*v + 10*v**3 - b + 15/4*v**4 + 5/4*v**2 = 0. Calculate v. -2, -1, -2/3, 1 Let o(s) be the first derivative of -2*s**5/25 - 2*s**4 - 38*s**3/15 - 695. Factor o(c). -2*c**2*(c + 1)*(c + 19)/5 Suppose 0 = 279*o - 1132*o + 929 + 1630. Factor -1/8*z**4 + 0 + 0*z**o + 1/4*z + 3/8*z**2. -z*(z - 2)*(z + 1)**2/8 Let t be (-6898)/(-12) + (-12)/(-72). Let s = t - 5173/9. Suppose -50/9 - s*k**2 - 20/9*k = 0. What is k? -5 Let d = 263/49 + -1168/245. Suppose 0*f + d*f**3 + 0 - 1/5*f**4 - 2/5*f**2 = 0. What is f? 0, 1, 2 Let w(h) = -2*h**4 + 117*h**3 - 1215*h**2 - 6731*h + 6. Let n(r) = -18*r**4 + 1050*r**3 - 10936*r**2 - 60578*r + 52. Let u(t) = -6*n(t) + 52*w(t). Factor u(y). 4*y*(y - 29)**2*(y + 4) Let k(v) = -13*v**2 - 199*v - 585. Let p be k(-4). Let -2/5*b**4 + 4/5*b**p - 16/5*b + 6/5*b**2 + 8/5 = 0. Calculate b. -2, 1, 2 Let v(r) = -r**2 - 5*r + 3. Let m(g) = 2*g**2 - 6831*g - 11716938. Let x(i) = -5*m(i) - 15*v(i). Factor x(w). 5*(w + 3423)**2 Let x be ((-1 - -3) + 22)*1. Let 0*d**2 + x - 4*d - 2*d**2 - 22*d - 6*d**2 = 0. What is d? -4, 3/4 Let g be ((-4)/1)/16 + (-27)/(-12). Suppose 10 = g*x + 3*x. Factor 0*w**2 - w**5 + 0*w**5 - w + 2*w**4 + 2*w**5 - x*w**2. w*(w - 1)*(w + 1)**3 Suppose -3*q + 29 = -2*g, 3*q = g - 0*g + 22. Let t = -5 - g. Factor 30 - 10 - 7*w - 5*w**t + 2*w - 10. -5*(w - 1)*(w + 2) Suppose -5*q = -j - 4*j - 5, -3*q + j - 7 = 0. Let b be -1 + (8/q + -1 - -6). Find m such that -3/5*m + 1/5*m**3 - 2/5 + 0*m**b = 0. -1, 2 Suppose -2/5*c**3 + 2*c**2 + 0 + 48/5*c = 0. What is c? -3, 0, 8 Let z = -1392481/7 - -197986. Let p = z - -941. Let 12/7*d**3 - 24/7 - p*d + 18/7*d**2 + 2/7*d**4 = 0. Calculate d. -3, -2, 1 Let k(j) = 4*j**2 - 76*j + 324. Let d = 33 - -48. Let i = 77 - d. Let u(q) = 4*q**2 - 75*q + 324. Let y(x) = i*u(x) + 3*k(x). What is h in y(h) = 0? 9 Let j(l) be the first derivative of -157 + 98/23*l - 1/46*l**4 - 35/23*l**2 - 26/69*l**3. Factor j(t). -2*(t - 1)*(t + 7)**2/23 Let n be (30/45)/(36/27). Suppose 0*m + 0 + n*m**2 = 0. What is m? 0 Determine d so that 8068*d + 105425936 + 1872*d - 110366116 - 5*d**2 = 0. 994 Factor -437*t**4 - 432*t**2 + 211/2*t + 219/2*t**5 + 1 + 653*t**3. (t - 1)**4*(219*t + 2)/2 Let l = -106234 + 106240. Factor -39/7 + l*n - 3/7*n**2. -3*(n - 13)*(n - 1)/7 Let x(t) be the first derivative of 11/4*t**2 - 5/4*t**3 - 1/40*t**5 - 3*t + 79 + 9/32*t**4. Solve x(a) = 0 for a. 2, 3 Let x(w) = 6711*w - 67108. Let n be x(10). Solve 17/3*y + 1/3*y**n + 0 = 0 for y. -17, 0 Suppose -2*l - 2*f - 2 = 0, 3*l - f = 2*f + 27. Suppose 0 = -u + d + 4, l*u - 7*d - 18 = -5*d. Factor 6*w**4 + 3*w**4 - 8*w**2 + 4 - u*w**4. 4*(w - 1)**2*(w + 1)**2 Suppose 83*w - 221 = -55. Let h(c) be the second derivative of -3*c**4 + 0 + c + 1/5*c**5 - 14*c**w + 10*c**3. Solve h(t) = 0. 1, 7 Let i(t) be the third derivative of t**5/210 + 40*t**4/7 + 19200*t**3/7 - 7*t**2 - 3*t - 180. Determine b, given that i(b) = 0. -240 Let q(l) = 114*l - 62. Let d be q(7). Let k = d + -733. Determine m, given that 0 - 16/3*m**k - 10/3*m**4 - 8/3*m**2 + 0*m - 2/3*m**5 = 0. -2, -1, 0 Suppose -16*z + 20*z - 24 = 0. Let d = z - 3. Find s such that 12*s + 29 - 20*s**2 + 4*s**d - 14 + 21 = 0. -1, 3 Let f(l) be the first derivative of -53 - 125*l**2 - 3125*l - 5/3*l**3. Factor f(p). -5*(p + 25)**2 Let h(b) be the second derivative of 2*b**7/9 + 178*b**6/45 - 166*b**5 - 1844*b**4/9 + 1456*b**3/9 - 2*b + 679. Find c such that h(c) = 0. -26, -1, 0, 2/7, 14 Let p be (-10767)/30 - (-3)/6. Let o = p - -360. Suppose 6/5*k**4 + 0*k + 0 - o*k**3 + 8/15*k**2 = 0. Calculate k. 0, 2/3 Let k be ((-30)/(-25))/((-6)/(-20)). Solve -5*u + 191*u**3 - 4*u - 3*u**5 + 6*u**2 - 6*u**k - 179*u**3 = 0. -3, -1, 0, 1 Let c(l) be the first derivative of -l**4/20 + 67*l**3/15 + 256*l**2/5 + 444*l/5 + 4895. Solve c(y) = 0. -6, -1, 74 Let j = 89 + -75. What is z in j + 26*z**3 - 50*z**3 + 10 - 76*z + 80*z**2 - 8*z**4 + 4*z**5 = 0? -3, 1, 2 Let q(p) be the second derivative of p**5/300 + 7*p**4/15 + 392*p**3/15 + 15*p**2 - p - 7. Let l(t) be the first derivative of q(t). Solve l(z) = 0 for z. -28 Let q(u) be the second derivative of u**7/42 - 13*u**6/24 - 101*u**2/2 - 22*u - 1. Let n(g) be the first derivative of q(g). Suppose n(o) = 0. What is o? 0, 13 Let o = -2569299874927/2772 + 926875888. Let c = o - -4/693. Suppose 0 - 625/4*n**5 + 225/2*n**3 + 10*n + c*n**4 - 65*n**2 = 0. What is n? -1, 0, 2/5 Let t be 1980/(-8) + -3 + -7. Let f = t - -261. Factor b**3 + 4*b**2 + f*b - 1/2*b**5 - b**4 + 1. -(b - 2)*(b + 1)**4/2 Let q be -1 + (-2)/((-10)/23). Let a(j) = 67*j**2 - 6045*j + 1352. Let l be a(90). Find r, given that 18/5*r**3 + 3/5*r**4 - 3 - q*r + 12/5*r**l = 0. -5, -1, 1 Let w(n) be the second derivative of n**5/70 + 731*n**4/42 + 730*n**3/21 + 9916*n. Factor w(x). 2*x*(x + 1)*(x + 730)/7 Let b(f) be the second derivative of -f**4/48 + 95*f**3/24 + 12*f**2 + 2411*f. Factor b(p). -(p - 96)*(p + 1)/4 Let g(c) = 13. Let b(m) = 80*m**3 - 37240*m**2 - 18635*m - 2408. Let f(k) = -b(k) - 6*g(k). Determine x so that f(x) = 0. -1/4, 466 Let w(c) be the third derivative of -c**9/30240 - 13*c**8/10080 + c**5/60 + 22*c**3/3 + 180*c**2. Let f(l) be the third derivative of w(l). Factor f(b). -2*b**2*(b + 13) Let t(o) be the third derivative of -o**6/30 - 2*o**5 - 43*o**4/2 - 200*o**3/3 + 2787*o**2. Factor t(x). -4*(x + 1)*(x + 4)*(x + 25) Let c be 0/((-7)/(-35)*10). Suppose 4*f - f - 4*l = 0, c = 6*f + 5*l. Suppose 0 + 0*g + f*g**2 - 10*g**3 + 4*g**4 - 2/5*g**5 = 0. What is g? 0, 5 Let j = 6147/8 + -768. Let n(c) be the third derivative of -1/10*c**5 + 0 + 1/40*c**6 + 15*c**2 + 0*c + 0*c**3 - j*c**4. Factor n(q). 3*q*(q - 3)*(q + 1) Let j(m) = 17*m**2 + 9*m + 85. Let f be j(-5). Let d = 931/2 - f. Factor -d + 3/4*w - 1/4*w**2. -(w - 2)*(w - 1)/4 Suppose 2*w + 0*i - 25 = 5*i, -5*w = 2*i + 10. Suppose 4*f + 4*b - 8 = -w*b, -4*b = 2*f. Factor -8*m**3 - m**3 - 3*m**f + 0*m**3. -3*m**3*(m + 3) Let s(d) be the second derivative of -147/2*d**2 + 86*d - 1/4*d**4 - 7*d**3 + 1. Factor s(p). -3*(p + 7)**2 Let c = 1118 + -1112. Let w(x) be the second derivative of 0 - 8*x**2 - 2*x + 1/5*x**5 - 3*x**4 + 22/3*x**3 + 2/15*x**c. Factor w(t). 4*(t - 1)**3*(t + 4) Find l such that 16/5*l**4 + 1/5*l**5 + 0 + 56/5*l**2 - 54/5*l**3 - 19/5*l = 0. -19, 0, 1 Let x(p) be the third derivative of 89*p**2 + 0 + 0*p**3 + 1/48*p**5 - 1/160*p**6 - 1/96*p**4 + 1/336*p**8 - 1/168*p**7 + 0*p. Find n, given that x(n) = 0. -1, 0, 1/4, 1 Let d(a) be the first derivative of a**4/72 - a**2/12 + 17*a - 19. Let b(z) be the first derivative of d(z). Solve b(g) = 0 for g. -1, 1 Suppose 5*h = -4*v - 6, -2*v - 9 = -h + 1. Factor u**4 - 3*u**3 + 3 + 47*u**2 + 4*u**3 - 50*u**h - 5*u - 5. (u - 2)*(u + 1)**3 Factor 2*k**4 + 6678*k**2 + 2199*k + 2922 + 2378 - 142*k**3 - 22125*k - 612*k**3 + 14572. 2*(k - 368)*(k - 3)**3
Solve -905*q**2/9 - 38*q/3 = 0. -114/905, 0 What is j in 3*j**5/2 - 4323*j**4 - 73767*j**3 - 456180*j**2 - 2390925*j/2 - 1087125 = 0? -5, -2, 2899 Factor 3*v**5 + 6*v**4. 3*v**4*(v + 2) Let y**3/3 - 2411*y**2/3 + 887432*y/3 - 89303728/3 = 0. Calculate y. 212, 1987 Factor -q**3 - 7*q**2 + 20*q + 96. -(q - 4)*(q + 3)*(q + 8) Factor -l**4 + 50*l**3 - 753*l**2 + 3276*l - 4320. -(l - 24)*(l - 20)*(l - 3)**2 Factor 2*d**4 - 246*d**3 + 1404*d**2. 2*d**2*(d - 117)*(d - 6) What is z in -z**3/4 - 599*z**2/2 - 96743*z/4 - 47773/2 = 0? -1111, -86, -1 Factor -2*p**3/5 - 14332*p**2/5 + 5734*p - 14336/5. -2*(p - 1)**2*(p + 7168)/5 Factor 51665*f**2 + 103320*f - 20. 5*(f + 2)*(10333*f - 2) Determine c so that -c**2 - 5466*c - 5465 = 0. -5465, -1 Find u, given that 52*u**5 + 944*u**4 + 2068*u**3 - 20296*u**2 + 22000*u + 3872 = 0. -11, -2/13, 2 Let 4*i**2 - 700*i + 18744 = 0. What is i? 33, 142 Find p such that p**5 + 187*p**4 + 3607*p**3 - 3795*p**2 = 0. -165, -23, 0, 1 Find l, given that 3*l**3 + 5625*l**2 + 56025*l + 139875 = 0. -1865, -5 Suppose 2*v**4 - 978*v**3 - 6*v**2 + 2930*v + 1956 = 0. What is v? -1, 2, 489 Determine l so that l**2 + 141*l - 730 = 0. -146, 5 Find m, given that -m**4 + 9*m**3 - 20*m**2 = 0. 0, 4, 5 Determine r so that -4*r**4/9 - 6851*r**3/9 + 1729*r**2/9 + 27404*r/9 - 2284/3 = 0. -1713, -2, 1/4, 2 Let -g**2 - 690*g - 1376 = 0. Calculate g. -688, -2 Factor a**2 - 22756*a + 129458884. (a - 11378)**2 Let 2*g**3/5 - 280*g**2 + 45866*g/5 - 384948/5 = 0. Calculate g. 17, 666 Find r such that r**3/4 - 517*r**2/4 + 129*r = 0. 0, 1, 516 Determine s so that -3*s**4/4 + 117*s**3/2 + 1017*s**2/4 - 654*s - 1845 = 0. -5, -2, 3, 82 Let -2*q**4 - 3342*q**3 + 16746*q**2 - 23458*q + 10056 = 0. Calculate q. -1676, 1, 3 Determine l so that -4*l**2 - 483064*l - 14584426756 = 0. -60383 What is a in 1058*a**5 + 276*a**4 - 13736*a**3 + 9108*a**2 + 3078*a + 216 = 0? -4, -3/23, 1, 3 Find v, given that 3*v**5/5 + 15*v**4 + 342*v**3/5 - 1506*v**2/5 + 1671*v/5 - 117 = 0. -15, -13, 1 Factor -4*a**4 + 396*a**3 - 12300*a**2 + 122500*a. -4*a*(a - 49)*(a - 25)**2 Factor 3*i**2 - 118200*i + 354573. 3*(i - 39397)*(i - 3) Factor b**2/5 - 291*b - 13176/5. (b - 1464)*(b + 9)/5 Factor -2*u**3/5 - 18*u**2/5 + 668*u/5 - 1248/5. -2*(u - 13)*(u - 2)*(u + 24)/5 Factor -5*k**2 + 5895*k + 17730. -5*(k - 1182)*(k + 3) Let q**3/8 + 11963*q**2/8 + 4465556*q - 80622441/2 = 0. What is q? -5986, 9 Solve -4*j**5 + 1280*j**4 - 6324*j**3 + 7544*j**2 + 5072*j - 10080 = 0. -1, 2, 315 Solve 3*a**4 + 768900*a**3 + 49268036394*a**2 + 98533766100*a + 49266498603 = 0 for a. -128149, -1 Solve -x**2 + 385*x - 22776 = 0 for x. 73, 312 Let p**3 - 13*p**2 - 500*p + 1044 = 0. What is p? -18, 2, 29 What is g in 2*g**4/5 - 3872*g**3/5 + 15424*g**2/5 + 61952*g/5 - 247296/5 = 0? -4, 4, 1932 Determine q so that 4*q**5 + 21760*q**4 + 173848*q**3 + 130336*q**2 - 173852*q - 152096 = 0. -5432, -7, -1, 1 Suppose 4*j**3/5 - 143608*j**2/5 + 114876*j - 430776/5 = 0. Calculate j. 1, 3, 35898 Find f, given that f**5 - 411*f**4 + 42834*f**3 - 122392*f**2 - 252960*f + 332928 = 0. -2, 1, 4, 204 Solve d**2/2 + 243*d/2 - 1265 = 0. -253, 10 Factor -10*g**2/7 - 128*g + 61290/7. -2*(g + 135)*(5*g - 227)/7 Determine s so that -1838*s**5/15 - 35536*s**4/5 - 397698*s**3/5 + 10231388*s**2/15 - 5638912*s/5 - 12288/5 = 0. -32, -2/919, 3 Factor -4*q**4 - 80832*q**3 - 405280096*q**2 + 31152329472*q - 594120307264. -4*(q - 38)**2*(q + 10142)**2 Factor -6*c**3/5 + 185976*c**2/5 - 371934*c/5 + 185964/5. -6*(c - 30994)*(c - 1)**2/5 Determine t so that -3*t**4/2 + 3972*t**3 - 3496635*t**2 + 1015059600*t + 14556236625/2 = 0. -7, 885 Suppose -525*c**5 - 482555*c**4 - 555499*c**3 - 99993*c**2 + 63360*c + 16524 = 0. Calculate c. -918, -3/5, -2/7, 1/3 Factor -4*a**2/7 + 372*a/7 + 352552/7. -4*(a - 347)*(a + 254)/7 Let 47*u**4 - 717496*u**3/3 + 912990716*u**2/3 - 189836672*u - 8629248 = 0. What is u? -2/47, 2/3, 2544 Factor 4*i**3 - 288*i**2 - 140940*i - 7447896. 4*(i - 246)*(i + 87)**2 Factor u**2/7 + 1629*u. u*(u + 11403)/7 Determine o so that -3*o**5/5 - 288*o**4/5 + 33102*o**3/5 - 112104*o**2 - 4286763*o/5 - 6899256/5 = 0. -168, -3, 39 Determine f so that -2*f**3/13 + 2354*f**2/13 - 34948*f/13 + 102256/13 = 0. 4, 11, 1162 Factor 2181*p**2 - 10906*p/5 + 1/5. (p - 1)*(10905*p - 1)/5 Let l**3/3 - 2240*l**2/3 - 2243*l/3 + 1494 = 0. What is l? -2, 1, 2241 Solve -4*v**5 - 55*v**4 + 4622*v**3 - 17992*v**2 - 17290*v + 5375 = 0 for v. -43, -1, 1/4, 5, 25 Factor -2*d**4/3 + 6158*d**3/3 + 12332*d**2 + 74024*d/3 + 49360/3. -2*(d - 3085)*(d + 2)**3/3 Factor s**3/9 + 2998*s**2/9 - 21029*s/9 + 6010/3. (s - 6)*(s - 1)*(s + 3005)/9 Factor -x**3/2 - 203*x**2 - 404*x. -x*(x + 2)*(x + 404)/2 Find j, given that 35*j**5 - 54645*j**4 + 70210*j**3 - 15600*j**2 = 0. 0, 2/7, 1, 1560 Factor 5*f**4 - 108250*f**3 + 585578285*f**2 + 3516393000*f + 5276051280. 5*(f - 10828)**2*(f + 3)**2 Factor -3*l**2 + 51366*l. -3*l*(l - 17122) Determine w so that w**3/8 + 1347*w**2/4 + 227808*w + 1354752 = 0. -1344, -6 Factor 3*r**4 - 1011*r**3 + 108459*r**2 - 3080025*r - 67267746. 3*(r - 117)**3*(r + 14) Determine q so that -2*q**5/23 + 9540*q**4/23 + 47738*q**3/23 + 57308*q**2/23 - 38184*q/23 - 76400/23 = 0. -2, 1, 4775 Factor -3*c**2/2 + 458439*c/2 - 458433. -3*(c - 152811)*(c - 2)/2 Suppose -d**4/2 + 10301*d**3 + 82421*d**2/2 + 30909*d = 0. Calculate d. -3, -1, 0, 20606 What is g in -2*g**4 + 458*g**3 - 7160*g**2 - 12192*g + 427392 = 0? -7, 12, 212 Determine q, given that -2*q**5/9 + 844*q**4/9 + 302*q**3/3 - 2820*q**2 = 0. -6, 0, 5, 423 Solve 3*q**2/7 + 759*q/7 - 31212/7 = 0. -289, 36 Factor -5*r**3 - 27335*r**2. -5*r**2*(r + 5467) Factor 6*a**2/7 - 14460*a/7 + 2676096/7. 6*(a - 2208)*(a - 202)/7 Suppose -w**2/4 - 192*w + 769/4 = 0. Calculate w. -769, 1 Let 3*a**5 - 477*a**4 + 1404*a**3 + 12*a**2 - 1872*a = 0. Calculate a. -1, 0, 2, 156 Let -b**4/9 + 52*b**3/9 - 80*b**2/9 - 976*b/9 - 400/3 = 0. Calculate b. -2, 6, 50 Factor -4*y**2 - 30896*y - 59660176. -4*(y + 3862)**2 Let 6627*i**3 - 2578467*i**2 + 219408*i - 4668 = 0. Calculate i. 2/47, 389 What is k in 2*k**2/3 + 236456*k/3 + 6988929992/3 = 0? -59114 Factor p**2/2 - 82547*p/2 - 41274. (p - 82548)*(p + 1)/2 Let -3*s**2/8 + 21147*s/8 - 2643 = 0. Calculate s. 1, 7048 What is h in -h**5/6 - 41*h**4/6 - 278*h**3/3 - 1192*h**2/3 + 1120*h/3 + 5096/3 = 0? -14, -13, -2, 2 Find u such that u**5/7 + 51*u**4/7 + 720*u**3/7 + 1724*u**2/7 - 192*u/7 - 2304/7 = 0. -24, -2, 1 Factor t**2 + 308*t + 4947. (t + 17)*(t + 291) Let -l**2 + 23*l - 60 = 0. Calculate l. 3, 20 Factor 3*j**2/2 - 42462*j + 424545/2. 3*(j - 28303)*(j - 5)/2 Factor n**3/3 + 515*n**2 + 206176*n + 16662356/3. (n + 29)*(n + 758)**2/3 Factor 1077*f**3/5 - 1223*f**2/5 + 146*f/5. f*(f - 1)*(1077*f - 146)/5 Let -r**2/4 + 1988*r + 3977 = 0. Calculate r. -2, 7954 Factor 360*m**2/19 - 18242*m/19 + 4036/19. 2*(9*m - 2)*(20*m - 1009)/19 Let 621*j**4 + 9951*j**3/5 + 1896*j**2/5 - 36*j/5 = 0. Calculate j. -3, -2/9, 0, 2/115 Find t such that -2*t**2/7 - 51924*t/7 - 337012722/7 = 0. -12981 Factor l**2/6 + 16603*l/6 - 8303. (l - 3)*(l + 16606)/6 Solve -5*u**2/6 - 824*u/3 - 64870/3 = 0 for u. -998/5, -130 Let -3*t**5/4 + 513*t**4 + 3093*t**3/2 - 513*t**2 - 6183*t/4 = 0. Calculate t. -3, -1, 0, 1, 687 Factor 4*a**2 - 184984*a. 4*a*(a - 46246) Determine u, given that u**3/7 + 23521*u**2/7 - 94096*u/7 + 94100/7 = 0. -23525, 2 Factor 2*l**3 + 12*l**2 - 5648*l + 22272. 2*(l - 48)*(l - 4)*(l + 58) What is t in -3*t**3/2 - 375*t**2 - 42327*t/2 - 20790 = 0? -165, -84, -1 Factor -j**3/2 - 9640*j**2 + 57847*j/2 - 19283. -(j - 2)*(j - 1)*(j + 19283)/2 Factor -p**2/3 - 4753*p/3 + 4754/3. -(p - 1)*(p + 4754)/3 Let -2*s**4/11 + 6*s**3/11 + 1010*s**2/11 - 6*s/11 - 1008/11 = 0. Calculate s. -21, -1, 1, 24 Determine k, given that 5*k**3 + 805*k**2 + 11675*k + 10875 = 0. -145, -15, -1 What is a in -a**5 - 35*a**4 + 198*a**3 + 4826*a**2 + 8923*a + 4329 = 0? -37, -9, -1, 13 Let -5*u**3/6 - 50*u**2/3 + 7355*u/6 - 3625/3 = 0. Calculate u. -50, 1, 29 Factor -5*c**3/2 - 155*c**2/2 - 690*c - 1440. -5*(c + 3)*(c + 12)*(c + 16)/2 Suppose 2*p**5/19 + 714*p**4/19 - 4388*p**3/19 - 11616*p**2/19 = 0. Calculate p. -363, -2, 0, 8 Factor -4*d**2 - 9433*d - 2358. -(d + 2358)*(4*d + 1) Factor t**2 - 20284*t + 102860164. (t - 10142)**2 Find q, given that 4*q**2/3 - 90728*q/3 + 514473124/3 = 0. 11341 Solve g**2 - 6504*g + 32495 = 0. 5, 6499 Suppose 3*m**4 + 1860*m**3 - 9366*m**2 + 5652*m + 16875 = 0. Calculate m. -625, -1, 3 Solve -5*h**4 - 40*h**3 + 140*h**2 + 880*h - 1920 = 0 for h. -8, -6, 2, 4
Expand ((-g + 0 + 0)*(0 + 6 - 4) + 0 + g + 0 + 2*g + 0*g + 2*g - 6*g - 2*g + 7*g)*(3 - 2*g - 3). -4*g**2 Expand (-1 - 6 + 4 + (-2 + 1 - 1)*(2 - 5 + 1))*(-1 - 2 + 1)*(5*a + 0*a - 3*a)*(a**3 - a**3 + a**4) + 54 - 20*a**5 - 54. -24*a**5 Expand k**5 + 0*k**5 - 3*k**5 + (-19*k**2 + 19*k**2 + 8*k**4)*(0*k + k - 3*k) + (2*k**3 + 3*k**3 - 3*k**3)*(3*k**2 + k - k) - 6*k**5 + k**5 + k**5. -16*k**5 Expand 21*w**2 - 24 + 24 + 6*w**2 - 4*w**2 - w**2 + w**2 + 0 + 0 + (0*w - 5*w + 3*w)*(0*w + 4*w - 5*w) + w**2 + 3*w**2 - 3*w**2. 26*w**2 Expand (3 + 2 + 1)*(-119*s + 119*s + 8*s**2)*(-1 + 3 - 4). -96*s**2 Expand -36 - 3*x + 3 + 6 + 102 + (2*x - 2*x + x)*(0 + 5 - 3). -x + 75 Expand (-1 + 0 + 0 + (5 - 5 - 1)*(-6 + 4 + 4) + 164 + 140 - 177)*(0*q + 1 - 2 - q). -124*q - 124 Expand (-5*d + 0*d + 4*d)*(-8 + 9 + 9)*(-86*d + 11*d + 9*d). 660*d**2 Expand -3*l**5 + 4*l**5 + 2*l**5 + (5*l - 1 + 1)*(2*l**4 - 67*l**4 + 4*l**4). -302*l**5 Expand (r**3 + 0*r + 0*r)*(-r - 4 + 2*r - 12*r). -11*r**4 - 4*r**3 Expand -2*q**3 + 2*q**4 + 2*q**3 + (2032*q**2 + 620*q**3 - 2032*q**2)*(-2*q + 2*q - 2*q). -1238*q**4 Expand (3*i**3 + 0*i**3 - 5*i**3)*(-2*i - i + i)*(-17 - 4 + 5). -64*i**4 Expand (-x - x + x)*(-3*x + 5*x + 5*x) - 1 - 4 + 2*x**2 - 2 + (x + 2*x - 4*x)*(-x - 3 + 3). -4*x**2 - 7 Expand (20*v**3 - 51*v**3 - 23*v**3)*(0*v + v - 2*v) + 4*v**4 + v**3 + 9*v**2 - 5*v**4 - 8*v**2 - 2. 53*v**4 + v**3 + v**2 - 2 Expand (2*c**2 - 3*c + 3*c)*(-2*c - 2*c**2 + 2*c)*(-c - 27 + 27). 4*c**5 Expand (-1 - 4 + 11)*(p - 2*p**5 - p) - p**5 - 2*p**4 + 2*p**4 + (p**2 + 0*p**2 - 3*p**2)*(-3*p**3 - 2*p**3 + 6*p**3). -15*p**5 Expand (1 + 1 - 3)*(-51*l + 67*l - 97*l) - 4*l + 8*l + 0*l. 85*l Expand 2*t**2 + 0*t + 0*t + 0 + 0 - 2*t**2 + (2*t + 3*t - 3*t)*(5*t - 11*t + 4*t) + 0*t**2 + t**2 - 2*t**2. -5*t**2 Expand (-3 + 3 + 1)*(2*n**4 - n**2 + n**2) + 23 + 16 + 409*n**4 - 400*n**4. 11*n**4 + 39 Expand (-p + p - 4*p**2)*(-77 - 172*p**3 - 58*p**3 + 77). 920*p**5 Expand (-2*s**3 + 5*s**3 - 2*s**3)*(-3 + 3 + 2*s) + 13 - 32*s**4 + 43*s**4 - 8 + (6*s - 3*s - 4*s)*(s**2 - s**2 + 2*s**3). 11*s**4 + 5 Expand (132 - 93*x**5 - 132 + (x**4 - 6*x**4 + 4*x**4)*(3*x - 2*x + 0*x))*(-3 - 3 + 4). 188*x**5 Expand u + 1 - 1 + 7*u - 3*u + 5*u + (-2*u + 5*u - u)*(-3 + 1 + 4) + (2 + 5 - 2)*(-5*u + 3*u + 0*u). 4*u Expand (-2*p**2 - 2*p**2 + 2*p**2)*(4 - p**3 - 5*p**3 + 7*p**3 + 103*p**2). -2*p**5 - 206*p**4 - 8*p**2 Expand w**5 - w**5 + 2*w**5 + (7*w**5 + 28*w**5 + 19*w**5)*(-2 + 6 - 2). 110*w**5 Expand (15 + 5 + 1)*(-1 + 1 - 2*k)*(-5 - 1 - 3). 378*k Expand (-146 + 122*p + 146)*(0*p**4 + 0*p**4 - 7*p**4). -854*p**5 Expand (9 - 9 + 5*z)*(1 - 15*z**3 - 1) + 3*z - 3*z + 4*z**4. -71*z**4 Expand (2*q**3 + 3*q**3 - 4*q**3)*(1 - 3 - 1)*(3 + 1 - 5 + (3 - 1 + 0)*(3 - 5 + 0) + 2 - 3 - 1 + 2 - 6 + 3 + (-4 + 2 + 3)*(1 + 0 - 3) - 1 + 4 - 2). 27*q**3 Expand (6 - 6 - 12*f**3)*(7 - 12 + 4 + 3*f). -36*f**4 + 12*f**3 Expand (-8*y + y + 0*y)*(3 - 1 - 1)*(26 - 6 + 28). -336*y Expand (2*s + 4*s - 2*s)*(-s - 5*s + 11 + 9*s). 12*s**2 + 44*s Expand -2*j**5 - 2*j + 2*j + (911*j - 911*j - 174*j**2)*(-1 + 3 - 1)*(0*j**2 + 2*j**3 + 2 + 0*j**2). -350*j**5 - 348*j**2 Expand -h**4 - h**4 + h**4 + (1 - 1 + 2*h**2)*(-1 - 2*h**2 + 1) + 607*h - 607*h - 31*h**4. -36*h**4 Expand (2*m**2 - 2*m**2 - m**4)*(1 + 4*m - 1) + (2*m - 4*m + 0*m)*(3*m**4 + 2*m**4 - 4*m**4) - m**5 - 4*m**2 + 4*m**2. -7*m**5 Expand (-22 + 4 - 22)*(2*g + 2 - 2). -80*g Expand -g**4 - 3*g**4 + 2*g**4 + (-9*g + 3*g + 7*g)*(2*g**3 - g**3 + 5*g**3). 4*g**4 Expand (96 - 11 - 162)*(2*v - 2*v + v + (6*v - 4*v + 0*v)*(-1 + 3 - 5)). 385*v Expand (r**3 + 0*r**3 - 4*r**3)*(-575 + 575 + 37*r) - r**4 + 0*r**4 + 0*r**4. -112*r**4 Expand (-3 + 3 - 3)*(2*a - 2*a - a)*(-80 - 31 + 45). -198*a Expand 0*y**2 + 0*y**2 - y**3 + (0 + 0 + y**2)*(3*y - 3*y - y) + 0*y**3 + 3*y**3 - 4*y**3 - 31 + 31 - 8*y**3. -11*y**3 Expand (-3 + 3 + m**2 + (-1 + 1 - m)*(m + 0*m - 5*m))*(-5 + 4 + 10)*(29 + 6*m - 29). 270*m**3 Expand (250 - 250 + 18*r)*(4*r + 0*r - 3*r) + r**2 + 1 - 1. 19*r**2 Expand (i - 3*i - i - 1)*(-2*i + i**2 + 2*i) + i**3 - 3*i**2 + 3*i**2 + 0*i**3 - i**3 - 2*i**3. -5*i**3 - i**2 Expand (-977*x - 969*x + 1895*x)*(-2 + 1 + 3)*(x**3 + 0*x**3 + 0*x**3). -102*x**4 Expand -2*r**5 - 2*r**3 + 5*r**5 - 4*r**5 + (0*r + 5*r - 4*r)*(-256*r**4 - 179*r**4 + 641*r**4). 205*r**5 - 2*r**3 Expand (-1 + 0 - 3)*(r - 3*r - 2 + 1)*(1 - 1 + 6). 48*r + 24 Expand (h - 3*h + 4*h)*(4 + 0 - 2 - 1 + 0 + 2 + (2 + 1 - 2)*(0 + 2 - 4) + 1 + 5 - 4)*(4*h**2 + 5*h - 5*h)*(-22*h + 6*h - 6*h). -528*h**4 Expand -2*i - i + 4*i + (-i - 3*i + 2*i)*(-1 + 2 - 3) + 0 - i + 0 + 0*i + 0*i + 2*i + (5*i - 14*i - 2*i)*(-2 + 1 - 2). 39*i Expand (-p**3 - 3*p**3 + 8*p**3)*(-p - 3*p + 3*p) + 0*p**4 - 5*p**4 - 2*p**4 + 5*p**4 - 2*p**4 - 5*p**4. -13*p**4 Expand -113*r**4 - 33 + 115*r**4 - 17 + (-r**2 + r - r)*(-2*r**2 + 5*r - 5*r). 4*r**4 - 50 Expand 1 - 1 - 13287*j + 12728*j + (0 + 1 - 3)*(1 + j - 1). -561*j Expand -2*n**2 - 1 + 1 + 0*n + 8*n**2 + 0*n + (-2*n**2 - 23*n + 23*n)*(0 + 2 - 1). 4*n**2 Expand (-2*f**2 + 2*f - 2*f)*(-27*f + 25*f**2 + 27*f) + (-5 + 3 - 1)*(2*f - 2*f + 2*f)*(-f**2 + 8*f**2 - f**3 - 8*f**2). -44*f**4 + 6*f**3 Expand (-14 - 6 + 22 - 11*x)*(-3*x - 2 + 2). 33*x**2 - 6*x Expand (2*n - 2*n - n**4)*(-27*n - 46*n + 12*n) + 4*n**5 + n**5 - 15*n**5. 51*n**5 Expand 45*o + 2418 - 2418 - 2*o + 4*o - 4*o + (-2 - 1 + 1)*(4*o + 3*o - 6*o) + (-2*o - 2*o + 3*o)*(-1 - 1 + 4). 39*o Expand (4 - 22 - 11)*(-3 + z - 2 + 3)*(3 - 3 - 5*z**2). 145*z**3 - 290*z**2 Expand 3*z - 3*z - 2*z + (-1 + 1 - z)*(27 + 17 - 7) + (6 - 1 - 3)*(0*z + 6*z - 5*z) - 3*z + 4*z - 2*z. -38*z Expand 49*x**3 - 2*x**4 - 51*x**3 + 3*x**4 + (-x - 2*x + 4*x)*(-x**3 - 4*x**3 + 3*x**3). -x**4 - 2*x**3 Expand (124*b + 24*b**2 + 124*b - 245*b)*(0*b + 0*b + 2*b**2)*((-5 + 4 - 1)*(0 - 3 + 5) + 0 + 2 + 0). -96*b**4 - 12*b**3 Expand (0*f + 0*f + f**5)*(-7 + 10 + 11) + f**2 + f**5 - f**2. 15*f**5 Expand -134*k**2 + 134*k**2 - 101*k**3 + (2*k - k**2 - 2*k)*(0*k - k + 2*k). -102*k**3 Expand (6 + 3 - 3)*(0 - 1 + 5)*(-14 - p + 7 + 6) - p + 4 - 4 + (-2 + 1 + 0)*(p - 2*p + 3*p) + 0*p - 4*p + 3*p. -28*p - 24 Expand (-21*m**3 - 278 + 278)*(-2 + 2*m + 1 - m)*(-2 - 3 + 1). 84*m**4 - 84*m**3 Expand (4*q**4 - 3*q**4 + 0*q**4)*(427 - 2*q - 826 + 1024). -2*q**5 + 625*q**4 Expand (-71*f + 8*f**2 - 10 + 71*f)*(3*f**2 - 4*f**2 + 5*f**2). 32*f**4 - 40*f**2 Expand (3*d + 309*d**2 + 16*d**2 - 3*d)*(3 + 2*d - 3). 650*d**3 Expand -40*h - 2*h**2 - h**2 + 32*h + (-2*h**2 - 1 + 1)*(2 + 3 - 3) + 2 + h**2 - 2. -6*h**2 - 8*h Expand 2*j - 547 - 20*j + 19*j - j + 0 + 0 + (6 - 5 - 2)*(4*j - j - j). -2*j - 547 Expand (3 + 2 - 7)*(-6*o + 26 - 4*o + 12*o). -4*o - 52 Expand (-c - c + 5*c + (0 + c + 0)*(1 + 4 - 3) + 2*c - 33*c - 8*c)*(-3 + 3 - 2). 68*c Expand 5*p**3 - 2*p**3 - p**3 + (3*p**2 + 0*p**2 - 2*p**2)*(7*p + 9*p - 5*p) - 6*p**3 + p**3 + 4*p**3. 12*p**3 Expand (-6 - 17 + 4)*(1 - 4*x - 1)*(-4*x + 121 - 121). -304*x**2 Expand (3*h + 4*h - 6*h)*(-45*h - 40*h - 122*h) - 2*h**2 + 5*h**2 - 4*h**2. -208*h**2 Expand -22*w**3 + 3*w**3 - 8*w**3 + (w**3 + 3*w**2 - 3*w**2)*(5 - 2 - 5) - 3*w**3 + w**3 + w**3 + 10*w**3 - 15*w**2 + 15*w**2. -20*w**3 Expand (-4*r**2 + 4*r**2 + 2*r**2)*(-r + 2 - 2) + 51*r**3 + 1806*r - 1806*r + (2*r**2 + r**2 - 2*r**2)*(2*r - r - 4*r). 46*r**3 Expand (4 - 4 + 7)*(4*a + a - 3*a - 1 + 1 - 2*a + 66 + 12*a - 66 + (0 + 0 + a)*(-3 + 1 + 4) + 2*a - 4 + 4). 112*a Expand (-3*c + c + 4*c)*(-1 - 4*c + 1 + (-3*c + c - c)*(-3 - 7 + 2) + 4*c + 0*c - 2*c). 44*c**2 Expand -7*b + 7*b - 9*b**2 + (-b + 4*b - b)*(0*b + 2*b - 3*b) + (-1 + 6 - 3)*(1 - 1 - 2*b)*(0*b + 3*b + 0*b). -23*b**2 Expand (-150 + 36*a**2 + 150)*(-61*a**3 + 274*a**2 - 274*a**2). -2196*a**5 Expand (1 - 3 + 7)*(7*a - 9*a + 5 + 7*a). 25*a + 25 Expand z**2 - 2*z**2 - 2*z**2 + (1 - 1 + 1)*(0*z**2 + 2*z**2 - z**2) - z**2 - z**2 + 5*z**2 + (1 - 1 - z)*(-3 - 2*z + 3). 3*z**2 Expand (-69 - 110 - 18)*(2 - 4 + 4)*(-2*s**4 - 2*s**3 + 2*s**3). 788*s**4 Expand (q - q - q)*(2*q - 5*q + q) + 0 + 0 + 2*q**2 - 2 + q**2 + 2 - q**2 - 4 + 4 + 283*q - 2*q**2 - 540*q + 3*q**2. 5*q**2 - 257*q Expand 0*l + 2*l + 0*l - 18*l + 7 - 7 - l + 0 + 0 + (-3 - l + 3)*(-2 + 0 + 4) + 0*l - 2*l + l - l - 2*l + 4*l. -19*l Expand 10*b**4 - b**4 + 6*b**4 + (b - b + b**4)*(1 + 2 - 1) - b**4 + 3*b**4 - 3*b**4. 16*b**4 Expand (-3 + 3 - 2*m)*(-4*m + 3*m + 2*m) + 0*m - 2*m**2 + 0*m + (-1 + 4 - 1)*(-m**2 + m**2 - 2*m**2) + 1571*m**2 - 1921*m**2 + 1188*m**2. 830*m**2 Expand (-h + 5*h - 3*h)*(3*h + 0*h - h) - 3 + 1 + 9 - 17*h**2. -15*h**2 + 7
Total of -1404.5783 and 27. -1377.5783 Total of -0.1675038 and -237. -237.1675038 What is the difference between 472.403 and 5.48? 466.923 23278.96+-12.81 23266.15 What is the distance between -874.51 and -2862? 1987.49 What is 16932.537 take away -3675? 20607.537 What is the distance between -192 and 3943.37? 4135.37 31004093 - 0.2 31004092.8 Calculate -0.09495 + -0.536973. -0.631923 Calculate -148527262 - -0.14. -148527261.86 18273953 + -0.3 18273952.7 2410+-185905.13 -183495.13 15580+-3593779 -3578199 2351847 + -102 2351745 Add together 0.3 and 5612976.21. 5612976.51 Work out -6894262827 - 2. -6894262829 580989+-0.7 580988.3 Sum 289.4 and -0.1500904. 289.2499096 What is the distance between 3178 and -0.04373? 3178.04373 Total of -76669 and 227. -76442 What is -3 less than -105106.175? -105103.175 What is -39673829.1 - 0? -39673829.1 What is -21885 take away 0.0707126? -21885.0707126 7.442 - 0.4773 6.9647 What is -0.3 - 47.47833? -47.77833 What is -46 less than -3052.68017? -3006.68017 Add -0.2846622 and -12. -12.2846622 What is 55911.72 less than -26? -55937.72 Calculate -5276370 + -4. -5276374 -2.46+2043.938 2041.478 What is 67.28203 minus -2.012? 69.29403 Calculate 2 + 1016.2518. 1018.2518 Work out 452296935 + -4. 452296931 What is -1063 minus -123.5? -939.5 8131.2+-2.6 8128.6 Add 0 and -43076953. -43076953 Work out -32.17 - 19276. -19308.17 What is 6 less than -196531012.7? -196531018.7 What is the difference between 270751 and 0.148? 270750.852 What is the difference between 28.602 and 0.006125? 28.595875 What is the difference between 1219641 and 8? 1219633 What is 2.3093483 - -1.5? 3.8093483 Add together 0 and 5302911. 5302911 Sum -18687 and -0.0563. -18687.0563 Calculate 154815 - 0.042. 154814.958 What is 6 less than 152535106.32? 152535100.32 -4375.94 - 68 -4443.94 Work out -11.5077 - 25. -36.5077 -4 + -9452268.5 -9452272.5 Subtract 4748075 from 2.8701. -4748072.1299 What is -0.1 take away 1411968767? -1411968767.1 What is the difference between 66.035 and -8307? 8373.035 Put together 0.1281286 and -0.019. 0.1091286 -0.44588082 + -0.5 -0.94588082 -6.87356 - 0.7 -7.57356 Calculate -5139.6 - 8.16261. -5147.76261 Subtract -0.01683473434 from 28. 28.01683473434 Add together -2236671090 and -0.1. -2236671090.1 Work out 0.078 + -7.00819. -6.93019 What is -388868794 minus -0.1? -388868793.9 Put together 3717900 and -0.8. 3717899.2 Total of 20.1 and -271840. -271819.9 What is 145246 plus 31872? 177118 What is 99.282 less than -172? -271.282 What is 141307.87 + -0.212? 141307.658 Work out -110521.35 + 1.8. -110519.55 Work out -1.26844 - 187539. -187540.26844 Total of 75787 and 568. 76355 Put together 0.222 and -2.0539. -1.8319 What is the difference between -780823.4 and 8? 780831.4 What is -24098.15 minus 15177? -39275.15 What is -878498 take away 152529? -1031027 What is -880921 minus 13270? -894191 What is the difference between -724765 and -0.34? 724764.66 Put together -437222406 and 42. -437222364 What is 9624 less than -0.77? -9624.77 Add together -11675052 and -5. -11675057 Work out -0.3 - 33071536. -33071536.3 What is 8281432 take away 0.3? 8281431.7 Sum -26710308 and -1.049. -26710309.049 What is 24 less than 103.316191? 79.316191 -6315.02314 - 96 -6411.02314 -1678029 - -104 -1677925 What is -0.33 take away -0.2084? -0.1216 What is 8505872.7 minus 0.09? 8505872.61 What is -3477557 - -135? -3477422 Put together 7.324 and 11.653. 18.977 What is the distance between 8.36 and 17896? 17887.64 What is -14472.4 + -342? -14814.4 Add 8268590 and 1929. 8270519 4398+59244 63642 What is -0.08 plus -14708658? -14708658.08 What is -11 less than 3782725? 3782736 Add 7762687772 and -2. 7762687770 What is -4466704 take away -13? -4466691 What is -78022.136 + -61? -78083.136 Calculate -3.89006844 + 0.071. -3.81906844 What is -147195.193 + 15? -147180.193 Put together -1105.644 and 19. -1086.644 What is 630617 take away 0.66? 630616.34 What is -17662.166 less than -0.5? 17661.666 What is -1292455912 less than -2? 1292455910 What is the difference between 53171.5028 and 0.1? 53171.4028 Calculate 124 + 1.35987. 125.35987 What is -540251 less than -0.97? 540250.03 What is the distance between -0.98146 and 5208.6? 5209.58146 1458083754 + -0.3 1458083753.7 What is -5355 plus -0.093063? -5355.093063 What is the difference between 251729417 and -0.022? 251729417.022 Add 5 and -5337642. -5337637 Add -402.39675 and -0.08. -402.47675 -5+121.6732 116.6732 What is 13.979499426 plus 0.01? 13.989499426 -135.784 + 0.437 -135.347 Subtract 71 from -13863710. -13863781 -0.9216284999 + -1 -1.9216284999 -854+3019.2 2165.2 Calculate 1729410.9 - 0.08. 1729410.82 Add together 30409193 and 0.5. 30409193.5 Add -60812610 and 93. -60812517 Work out 3877 + 7118591. 7122468 What is -1007485 - -1.95? -1007483.05 Subtract 11.1075 from 6.274. -4.8335 What is 34.88 less than -0.13268? -35.01268 What is 306 take away 37939? -37633 Sum -219857 and 1050. -218807 What is -0.4 minus -1768305047? 1768305046.6 Subtract 2687643602 from -0.13. -2687643602.13 Work out 1973935152 + 3. 1973935155 Work out -0.0816004 + -0.5. -0.5816004 Subtract 45 from 24.3462. -20.6538 -61 + -3.42364 -64.42364 What is 0.3200209 + 1.446? 1.7660209 Calculate 10 + -72898. -72888 Total of -38 and 1.847572. -36.152428 Work out 34567 + -0.01894. 34566.98106 Calculate 23.9 - 0.42934. 23.47066 Calculate -25596 - -4333.2. -21262.8 Subtract 306117 from 0.06. -306116.94 3 - -0.151683892 3.151683892 What is -0.5 + 1170989.4? 1170988.9 What is -4.62923984 + 0.1? -4.52923984 -6465838866 + -0.1 -6465838866.1 What is -0.34 - 11327.385? -11327.725 What is the difference between -37 and 446749.177? 446786.177 What is -11 + -6157448? -6157459 Total of -0.367755 and 1.0103. 0.642545 Add 2069736 and 30. 2069766 What is 0.0585 plus 464895.9? 464895.9585 What is -329.9 take away -17201? 16871.1 Calculate -26 + -7009071. -7009097 Work out 244546 + 0.266. 244546.266 -18.197 + 25644 25625.803 What is the difference between 92618 and -4741? 97359 Calculate -0.1 + 13286050. 13286049.9 Add 3 and 383095120. 383095123 Put together -10 and 51740.4933. 51730.4933 What is -58 - 0.26052782? -58.26052782 196.5+-94.05 102.45 What is the distance between -0.3 and -2210783? 2210782.7 Calculate 0.066761869 - 1. -0.933238131 Calculate 84.644916 + 0.3. 84.944916 Total of -174055.0182 and -0.2. -174055.2182 Work out 5.4658281 - -582. 587.4658281 What is the difference between -8778 and 1540? 10318 4274886 - 0.2 4274885.8 What is -24951121985 take away 0.4? -24951121985.4 Calculate 0.2 + -0.1103082. 0.0896918 Sum 1386345.7 and -0.5. 1386345.2 What is -0.6719 + 8739? 8738.3281 -514.4 - 1.3393 -515.7393 What is -0.05194718 + -5? -5.05194718 What is the distance between -0.2 and -35891.5554? 35891.3554 What is 16846 less than 1.58533? -16844.41467 What is 15212 plus -3488.9? 11723.1 Subtract -0.9 from -143.82413. -142.92413 What is the distance between -3914 and 207162.3? 211076.3 What is 407 + -23078819? -23078412 What is -63 less than -34789389? -34789326 Sum -419 and -6228312. -6228731 What is the distance between -0.082839 and -0.096296? 0.013457 Total of -20212561 and 47. -20212514 What is 5 take away -43175031? 43175036 864612454 + -1.7 864612452.3 Subtract -356 from 5758.3. 6114.3 -298 + -586 -884 Sum -10.077275 and 1.6. -8.477275 What is 785226.32593 - 0.3? 785226.02593 Calculate -4750 - 34210. -38960 Add together 0.5197441501 and 5. 5.5197441501 What is 0.5 less than 865347? 865346.5 What is the distance between -12484 and -1487? 10997 Work out 2004 + 14.397. 2018.397 Work out -0.374 - 688.162. -688.536 What is 0.2 - -84501664? 84501664.2 Total of -220 and 231.678. 11.678 What is -12072 minus 3669764? -3681836 Total of -0.4 and 0.019645. -0.380355 What is the difference between -0.0227346 and 2231? 2231.0227346 What is -2 take away -5253740? 5253738 Sum -1262648 and 1463. -1261185 -17819+86619 68800 -526458.58 + -0.4 -526458.98 Add -0.0318 and -11.78312. -11.81492 What is -0.00499515 minus -0.05? 0.04500485 What is the distance between 5 and 267569820? 267569815 Subtract 365.56 from 2.62. -362.94 Add 8.784 and 152011. 152019.784 Add 0 and -4087319428. -4087319428 Put together 9197.678 and 37.6. 9235.278 What is -138.4 minus -25.7453? -112.6547 What is 10.061396 + 1? 11.061396 Add -680 and -0.1410144. -680.1410144 Calculate -0.0824538 - 2.92. -3.0024538 What is -1.51676 - 0.1801? -1.69686 -3580447 - -0.01 -3580446.99 What is -33606 + 5.15556? -33600.84444 What is -79009 + -1.2679? -79010.2679 What is -0.189742 less than -0.7154? -0.525658 Add 5 and -13312.379. -13307.379 Sum -19.83317 and 364.2. 344.36683 Work out 217486039 + 0.03. 217486039.03 Sum -21917 and 15.682. -21901.318 What is the distance between -130.2856 and -11? 119.2856
Let k(u) be the first derivative of 1/2*u**2 + 8*u + 2. What are the prime factors of k(7)? 3, 5 Let p(n) = 1778*n**2 + 3*n + 5. What are the prime factors of p(-1)? 2, 5, 89 Let o(j) = 32 + 5 - 7*j - 9. List the prime factors of o(-12). 2, 7 Let s be (-56)/2 + (2 - 3). Let o = -16 - s. Suppose h - o = -l - 1, l = 2*h + 18. List the prime factors of l. 2, 7 Let k(r) = 5*r**2 + 20*r - 3. Let v(y) = -3*y**2 - 10*y + 1. Let u(t) = -6*k(t) - 11*v(t). What are the prime factors of u(7)? 2, 3, 7 Suppose 4*q - 199 = 5*z, -4*q + 4*z = z - 209. List the prime factors of q. 2, 7 Let o(q) = -q**2 - 13*q + 2. Let z be o(-13). Suppose 5*g + z*p - 823 = 0, 2*p + 896 = 4*g + 252. What are the prime factors of g? 163 Suppose -6*v + v = -30. Suppose -87 + v = -f. What are the prime factors of f? 3 Let z(g) = 142*g**2 + 24*g - 1. What are the prime factors of z(3)? 19, 71 What are the prime factors of 6 + 7/(35/955)? 197 Let c = -17 - -22. Suppose -4*a = -7*a + 24. Suppose -3*j + c + 48 = 5*o, 0 = -4*o - a. What are the prime factors of j? 3, 7 Suppose -4*p - 30 - 22 = 0. Let n = 15 + p. What are the prime factors of 9*n + (-12)/3? 2, 7 Let q(t) be the third derivative of -t**5/60 + 10*t**3/3 - t**2. What are the prime factors of q(0)? 2, 5 Suppose 6179 = 6*x - 1105. What are the prime factors of x? 2, 607 Let z = 0 - -25. Let w = z + -22. Suppose -23 = -q - w*i, -q + 4*i + 10 = 1. What are the prime factors of q? 17 Let n(w) = w**2 - 8*w + 5. Suppose 2*q - 7 = -3*j, 2*q - 2 - 8 = -2*j. Let u be n(q). Let v(x) = x**3 - 5*x**2 + 3*x - 1. What are the prime factors of v(u)? 2, 7 Let x(b) = -b**3 + 17*b**2 + 16*b - 28. What are the prime factors of x(9)? 2, 191 Suppose 3*a - 209 + 65 = 0. Let q = 35 + a. List the prime factors of q. 83 Let j(g) = -g + 4. Let w be j(3). Suppose -4*z - 7 = w. List the prime factors of (-61)/z - 1/2. 2, 3, 5 Suppose -4*v - 3*x + 1275 = 0, x = 2*v - 3*x - 632. List the prime factors of v. 2, 3, 53 Suppose b + 9 = 3. What are the prime factors of (-9)/b - (-33)/2? 2, 3 Let j = 1158 + -29. What are the prime factors of j? 1129 Let c = 1071 + -504. List the prime factors of c. 3, 7 Let u be -7 - 2/(3/(-3)). Let q(d) = -2*d**2 - 10*d + 3. Let p be q(u). Suppose p*j - 80 = -2*x, x = -0*x - j + 39. List the prime factors of x. 37 Let r = 110 - 108. Suppose 2*l - l + u - 317 = 0, l + r*u = 319. List the prime factors of l. 3, 5, 7 List the prime factors of 16/40*30 + 884. 2, 7 Let m(u) = -u**2 - 16*u - 4. Suppose 23 = -3*i - 2*r, 5 = 4*r - 3*r. List the prime factors of m(i). 3, 17 Suppose -9 = -3*m + 210. Suppose -2*y - 27 = -37. What are the prime factors of 9/(-15) + m/y? 2, 7 Let y(w) = w**2 - w - 12. Let o be y(-3). Suppose -4*d + 430 = -o*v + 3*v, -2*d + 2*v = -208. List the prime factors of d. 2, 53 Let b = 388 + -331. What are the prime factors of b? 3, 19 Let h(r) = -5*r - 2. Let p(g) = g**2 + 3*g - 2. Let y be p(-4). Let f be h(y). List the prime factors of f/2*(3 + -4). 2, 3 Suppose 0 = 5*i - 25, -4*i - 2440 = -3*p - 9*i. What are the prime factors of p? 5, 7, 23 Let u be 8/(2 + (1 - 2)). Suppose -u = 4*h, 2*h - 50 = 5*w + 7*h. What are the prime factors of (1 - -29) + 5 + w? 3 Suppose 6*l + c = 3*l + 18, 2*l - c - 12 = 0. Let n(h) be the second derivative of h**4/6 - 7*h**3/6 - h**2 + h. What are the prime factors of n(l)? 2, 7 Let s = -840 + 1216. Suppose -7*n - s = -11*n. What are the prime factors of n? 2, 47 Let c(n) = -2*n**3 + 4*n**2 + 4*n + 19. List the prime factors of c(-5). 349 Let j(x) = 9*x**2 - 40*x - 53. What are the prime factors of j(-18)? 3583 Let j(d) = -3*d - 8. Let x be j(0). Let c(m) = -15*m - 1. Let l be c(1). Let n = x - l. List the prime factors of n. 2 Suppose 5*g + 61 - 15 = -2*n, 3*n - 4*g + 115 = 0. Let k = 46 + n. Suppose 0 = -3*c + 5 + k. What are the prime factors of c? 2, 3 What are the prime factors of (2 + 7)*(-400)/(-15)? 2, 3, 5 Suppose 0 = -0*p + 5*p - 15750. What are the prime factors of p? 2, 3, 5, 7 Let h = 466 + -280. List the prime factors of h. 2, 3, 31 Let m be ((6/(-4))/(-1))/(27/144). List the prime factors of (-12135)/(-40) + (2 - 19/m). 3, 101 Let n(o) be the third derivative of -5*o**4/24 + o**3 + o**2. Let t be n(3). What are the prime factors of -3 - 9/(t/44)? 41 Suppose 0 = 485*y - 504*y + 14687. List the prime factors of y. 773 Suppose -2*f - 2*m + 15 = f, -f + 5 = m. Let n = 11 - f. What are the prime factors of n? 2, 3 Suppose 0 = -w - 73 + 205. Let t = 9 - 4. Suppose -5*v = t*o - 115, -v - 3*v + 4*o = -w. List the prime factors of v. 2, 7 Suppose -y - 195 + 552 = 4*z, -3*z = -4*y - 244. Let m = z + -28. List the prime factors of m. 2, 3, 5 Let t = 7489 + -4797. List the prime factors of t. 2, 673 Let x(s) = 2 - 2 - 3 - 13*s + 1. Suppose 0*c = -2*c - 4. What are the prime factors of x(c)? 2, 3 Suppose 17809 = 28*n - 13831. List the prime factors of n. 2, 5, 113 Let l(d) = 11*d**2 + 2*d + 2*d**3 + 7 - 2 - 6 - 3*d**3. Let q be l(5). What are the prime factors of q/7 - (-6)/21? 23 Let c = -6 + 8. Suppose 4*n - c = 5*u, -3*u + 14 + 4 = 4*n. Suppose -122 = -3*y - u*v, 0 = 6*y - y - 3*v - 178. List the prime factors of y. 2, 19 Suppose 2252 + 8572 = 12*l. List the prime factors of l. 2, 11, 41 Let g = 1460 + -1236. What are the prime factors of g? 2, 7 Suppose -3*i + 19 = -20. Suppose 442 = 10*c + 7*c. List the prime factors of i/c*112/2. 2, 7 Suppose 36*z = -14*z + 144750. What are the prime factors of z? 3, 5, 193 Let g(q) = -q. Let k(i) = i**2 + 8*i + 5. Suppose 2*r - 4 = 0, 4*b - 12 = -r - 3*r. Let l(y) = b*k(y) - 4*g(y). What are the prime factors of l(-12)? 5 Let r(w) = 2*w**2 + 9*w - 21. Let d = 49 + -60. List the prime factors of r(d). 2, 61 Suppose -3*o + 3*h + 33 = 0, 19 + 25 = 4*o + 5*h. Let n = 5 + o. List the prime factors of n + (-8)/4 + 2. 2 Suppose 4*o - 2*h = 3648, -2*o - 5*h = -201 - 1611. List the prime factors of o. 911 Suppose -32*v + 37882 = -6*v. List the prime factors of v. 31, 47 Let g = 1131 - 570. What are the prime factors of g? 3, 11, 17 Let l(k) be the second derivative of k**5/20 + k**4/12 - k**3/6 + 2*k**2 - 3*k. Let d be l(0). Suppose -d*b - 11 = -83. List the prime factors of b. 2, 3 Let h be (-1*3/(-4))/((-3)/(-36)). Suppose -h = 3*j - 228. List the prime factors of j. 73 Suppose -5*l + 1468 = 4*y, 6*y + 2*l - 1480 = 2*y. List the prime factors of y. 2, 3, 31 Suppose z - b - 234 = 0, 0 = -0*b - b - 4. Suppose 0 = 5*l - 5*k - z, -4*l + 183 = -0*l - 5*k. What are the prime factors of l? 47 Let o(w) = -3*w**3 + 4*w**2 + 3*w - 4. Let y = 54 - 57. List the prime factors of o(y). 2, 13 Suppose 0*u + 21 = u. Let g be (12/42)/(3/u). Suppose 4*d = -d - 3*i + 299, -2*d = g*i - 118. What are the prime factors of d? 61 Suppose -b + 4 = 5*t - 18, 34 = -3*b + 5*t. Let r be (2/8)/(b/(-228)). Let o = -9 + r. List the prime factors of o. 2, 5 Let z = -114 + 119. Suppose -43 = -3*p - 2*n, -z*p = -2*n + 3*n - 74. List the prime factors of p. 3, 5 What are the prime factors of 10554/4 + ((-27)/(-6))/9? 7, 13, 29 Suppose 4 = n + n. Let f be n/(((-15)/24)/5). Let b = 32 + f. What are the prime factors of b? 2 Let a(k) = -6*k - 1. Let x(y) be the third derivative of -y**5/60 - 3*y**4/8 - 11*y**3/6 + y**2. Let o be x(-8). What are the prime factors of a(o)? 17 Suppose 0 = h - 9*h + 1408. Suppose 74*a - 76*a = -h. What are the prime factors of a? 2, 11 Let v(q) = -39*q**3 - 6*q - 12. List the prime factors of v(-3). 3, 353 Let r = 1368 - 628. What are the prime factors of r? 2, 5, 37 Suppose -5*a - t + 211 = 0, 0 = 5*a + 2*t - 139 - 68. Let f = -15 + a. Suppose 85 = 3*y + f. What are the prime factors of y? 19 Suppose 0 = -4*q + 2*c + 254, -2*q + 4*c - 77 = -3*q. Let s = q + -29. List the prime factors of s. 2, 3 Let y be 2*(-4)/(-8)*-5. Let l(z) = -z. Let s be l(y). Suppose q = -2*q - 5*w + 87, -173 = -s*q + w. What are the prime factors of q? 2, 17 Suppose -x - 3*s - 60 = 0, x - 5*x - 3*s = 276. Let l be (1/(-2))/(9/x). Suppose 82 = 6*u - l*u. What are the prime factors of u? 41 Let k(a) = a**2 - 8*a - 3. Let j be k(7). Let u(w) = -2*w + 6. List the prime factors of u(j). 2, 13 Suppose 608 = -0*q + 19*q. List the prime factors of q. 2 Let g(x) = -7*x + 4 - 40*x**2 - 10*x + 39*x**2. What are the prime factors of g(-9)? 2, 19 What are the prime factors of ((-21051)/(-9) - -6) + -7? 2, 7, 167 Suppose 5*z = -4*f + 5015, 2*f = -0*z + 2*z + 2494. List the prime factors of f. 2, 5 Let c(f) = 26*f + 1. Let t be c(-1). Let v = t - -30. Suppose 0*k = v*k - 160. List the prime factors of k. 2
Let n(h) = -2*h**2 - 22*h + 20. Let t be n(-11). Solve -9*w + 13*w = t for w. 5 Let q(m) = 2*m + 1. Let y be q(2). Suppose 3*j = -4*i - 6, -3*j = -4*i + 5*i + 6. Let x(d) = 2*d**2 - d + 1. Let o be x(1). Solve i = -o*l + y*l for l. 0 Suppose 23 = 2*s + 4*v - 1, -25 = -5*s - 3*v. Suppose -s*l + 11 = -0*b - b, -4*b = 4*l + 8. Let a = -1 + 1. Solve a*g - l = -g for g. 3 Suppose 2*n - 24 = -4*s, 9*n = 4*s + 14*n - 30. Solve 35*u - s*u = -150 for u. -5 Let f(y) = -3*y - 32. Let b = 33 - 46. Let g be f(b). Solve 0 = -g*n + 3*n - 4 for n. -1 Suppose 4 = 3*f - 11, 0 = -d + 3*f - 7. Suppose w - 4*v + d = 0, 0*w = -w + 2*v - 8. Let g = -8 - w. Solve x + g = 1 for x. 1 Let l = 1239 - 1150. Solve -4*f + l = 97 for f. -2 Let p = -167 + 177. Let l(c) = -3*c - 2. Let n be l(2). Let d = p + n. Solve -d*f + 3*f - 5 = 0 for f. 5 Suppose -d + 66 = -4*d - t, 0 = 2*d + 4*t + 54. Let u = 27 + d. Solve -k + u = 2*k for k. 2 Let d(c) = 2*c**2 + 54*c - 46. Let g be d(-28). Solve -9*z = -g*z for z. 0 Let s = 253 - 167. Solve -111 = 5*f - s for f. -5 Let c be ((-44)/(-8))/(4/8). Suppose 15 + c = s + 4*x, -4*s + 60 = 5*x. Let u = 0 + 4. Solve v - s = -u*v for v. 2 Suppose -2*f + 4*h = 10, 5*f - 19 = -3*h + 2*h. Solve -8 + 11 = f*u for u. 1 Let t(g) = -g + 13. Let r be t(8). Suppose -5*p + 9*p - 64 = 0. Suppose -2*z - 2*z = -p. Solve r = -z*m + 3*m for m. -5 Suppose 0*l - 12 = -3*l. Suppose -l*k = k. Solve 20 = 5*j - k for j. 4 Suppose -40*r - 4*g = -43*r - 17, r - 6 = -g. Solve -5*s + 24 = -r for s. 5 Let c(s) = 3*s + 3. Let j be c(5). Suppose 5*y - 37 = -3*a, -2*a + y + j = 3*y. Solve -a*u = -u for u. 0 Suppose p = -2*y + 2, 4*p - 2*y + 2 = 3*p. Solve p*c = c for c. 0 Let m be 8/24*((-18)/(-2) + -3). Solve 0 = 4*p + 18 + m for p. -5 Let z be ((-2)/4)/(3/(-24)). Suppose 5*d - 6 = 14. Suppose 10 - 70 = -d*x. Solve x = z*f - f for f. 5 Let y(r) = -2*r - 6. Let a be y(-6). Let d(t) = t**2 - 2*t + 5. Let g be d(4). Let f = -8 + g. Solve a = f*h - 19 for h. 5 Let x be (-4)/24 + (-255)/(-18). Suppose 0 = 6*d - x + 2. Solve -2*u - d + 0 = 0 for u. -1 Suppose -b = -4*b, 4*s + 268 = 3*b. Let a = -65 - s. Solve -a*g = -9 - 1 for g. 5 Let j(k) = k + 15. Let a be j(-14). Suppose y - 3 = -a. Solve -3 = -y*n + 5 for n. 4 Let t = -859 + 859. Solve t = 69*v - 65*v + 12 for v. -3 Let a(r) = -r**2 + 34*r - 246. Let i be a(23). Solve o - 7 = -i for o. 0 Suppose p + 3*j + 4 = -3, -16 = -4*p - j. Suppose 0 = p*v - 9*v + 12. Solve 5 = -v*w - 1 for w. -2 Suppose -5*a = -5*i, -2*a - 48*i + 45*i = -25. Let u be (-4)/(-10) - (-46)/10. Suppose -15 = -u*l - 0. Solve -a = l*y - 4*y for y. 5 Let t = 371 + -331. Solve -43 + t = 3*v for v. -1 Let n(l) = -l**3 + 2*l**2 - l + 6. Let k be n(3). Let p(q) = -4*q - 21. Let m be p(k). Solve -i + m = 2*i for i. 1 Let o be (-2)/4*(15 - -191). Let t = -101 - o. Solve a = -t + 5 for a. 3 Let x(h) = h**3 + 5*h**2 + 3*h - 4. Let r be x(-4). Suppose -2*p + 24 = p. Solve 6*f - 2*f + p = r for f. -2 Let h(r) = -r**3 - 3*r**2 + 5*r. Let j be h(-5). Solve -4*i = i + j for i. -5 Let w be (-3 - -3) + 0/(12/(-3)). Solve c - 6*c - 5 = w for c. -1 Let a = -198 + 200. Solve 0 = 5*x + a + 23 for x. -5 Suppose -4*m = 3*l - 17, -5*m + 7*m = l + 1. Suppose 0 = 2*w - 22 - 10. Let r be (1/(-2))/((-1)/4). Solve r*i - w = -m*i for i. 4 Suppose 0 = -6*d + d - s + 24, -2*d - s = -12. Solve 2*x + 0*x + d = 0 for x. -2 Let l = -43 - -71. Suppose -4*y + 5*w = 53, -2*y + 3*w + w - l = 0. Let t = -7 - y. Solve t*i - 10 = -0 for i. 2 Let f = -7 - -7. Suppose 0 = -z - f*v + v + 19, 5*z - 103 = -3*v. Solve x - 5*x + z = 0 for x. 5 Let o = 64 + -44. Suppose 2*v - o = -2*v. Let g = -9 + 9. Solve g*z = v*z for z. 0 Suppose 2*h = 3*h. Let m = 10 - -10. Let w = -17 + m. Solve h = w*o + 1 - 4 for o. 1 Suppose -5*c + 21 + 9 = 0. Let h be (-5)/10 + -1*(-3)/c. Solve -u - 2*u - 9 = h for u. -3 Let a be (1 - 2 - -1) + 147/7. Solve 10*g - 3*g = a for g. 3 Suppose -k - 6 = -2*p, 13*k = 8*k - 10. Solve 0 = -p*x - x for x. 0 Let a be -1 + 16 - 1/(-6)*-18. Let m be (6/a)/(3/72). Solve 2*i + m = 6*i for i. 3 Let j = 18 + -22. Let s be (1*(-4 - j))/(-1). Solve s = -p + 2*p for p. 0 Let l be (-3)/8*(16 - 24). Suppose j + 3*z = -2*z + 16, l*z - 10 = -j. Solve -m = 5 - j for m. -4 Suppose -a = 3*x - 16, 5*x + 5 - 29 = a. Suppose -2*b + b = -a. Solve 2*r + b = 3*r for r. 1 Suppose -c + 129 = 57. Let a be c/8 - (-1 - 0/1). Solve w = -w + a for w. 5 Suppose 10*r - 64 = 6*r. Let l = r - 16. Solve -2*x + l = 4 for x. -2 Let u be (1/(-3))/(7/42). Let q be 0 + (2 - u/2). Solve -q*o + 0*o = 6 for o. -2 Suppose 5*i - 6*t + 7 + 2 = 0, -i = -5*t + 17. Solve 288*z - 287*z = -i for z. -3 Suppose 4*r - 16 - 4 = 4*f, -3*r + 4*f = -14. Let m be r/(-4)*(-8)/3. Solve -m*g = 4 + 4 for g. -2 Suppose w - 3*w = 0. Let g be (w - 2/4)*-20. Let q be (-2 - 0)*(-14)/4. Solve 5*a = q*a + g for a. -5 Let o = -7 + 13. Let s be o/(-21) + (-64)/(-28). Solve 4*a + 2 = s*a for a. -1 Suppose 0 = -2*g + g + 5. Suppose 2*t = -j - 2*t + 18, -g*t + 18 = -j. Let a be (-2)/(-3) + (-58)/(-3). Solve -2*o - a = j*o for o. -5 Let z(t) = t + 11. Suppose k + 3*f - 9 = 0, f - 55 = -3*k + 6*f. Suppose 3*g + k = -4*o - 33, -2*o - 2 = -4*g. Let a be z(o). Solve -5*c - 8 = a for c. -2 Let f be (-9 - -3)*2/6*-1. Solve 2*d + 12 = -f*d for d. -3 Let a(c) = -4*c + 2. Let l be a(-1). Let t be 3/(-6) + 123/l. Suppose 5*i = 2*u - t, 2*u - 20 = -0*i + 2*i. Solve y = -4*y + u for y. 2 Let f = 568 - 544. Solve -5*x - 1 - f = 0 for x. -5 Let v(k) = 2*k**2 - 103*k - 112. Let d be v(54). Solve -5 = -153*g + d*g for g. -1 Suppose 0 = -3*i + 13 + 32. Suppose 2 = -3*t + 17. Solve -2*s + i = -t*s for s. -5 Suppose 3*k - 3*s + 0 = 9, 3 = -s. Suppose b = -3*o + 3, 3*o + 8 = 4*o - 2*b. Let a = 42 + -36. Solve 0 = -k*c - o*c + a for c. 3 Let o(c) = -c**2 - 6*c + 4. Let v be (-30)/(-4)*(-20)/25. Let n be o(v). Let s(x) = -x**3 + 7*x**2 + x - 6. Let q be s(7). Solve n = l - q for l. 5 Suppose -5*j - 4*t - 17 + 37 = 0, j = -2*t + 10. Solve 13*a + 44 + 8 = j for a. -4 Suppose 0 = -2*c + 3*d - 6*d + 29, 2*d = -2*c + 24. Let y be (3/(-12) - 17/(-4)) + 7. Let b = y - c. Solve -7 = -b*q - 15 for q. -2 Let y be (-2)/(-4)*(11 - 1). Suppose -y*m - r = -11, 5*r + 0*r = -4*m + 13. Solve -6 = m*g - 5*g for g. 2 Suppose -8*z - 52 = -404. Suppose -l = 4*k - 84, 2*k - z = 4*l - 5*l. Solve x = -4*x + k for x. 4 Let l be (-56)/10 + 21/35. Let b = -3 + 4. Let i = b - l. Solve 2*z = i*z for z. 0 Let y be 165/(-22)*2/(-3). Suppose 4*c - 44 = -y*m, -5*c - 3*m + 51 - 9 = 0. Solve n - c = 4*n for n. -2 Let c be (13/39)/(1/12). Suppose -c*d + 6*d = 24. Solve 0 = -3*v - d - 3 for v. -5 Suppose 0*t - 4*t - 4 = -3*o, 4*o + 5*t + 36 = 0. Let z be 14 + -3 + 3 + o. Suppose 2*c + c - 12 = 0, 5*h - 5*c = -z. Solve h*j = -j - 3 for j. -1 Let p(a) = a - 2. Let l(c) = -c**2 - 5*c + 1. Let x be l(-4). Suppose -6 - 14 = -x*j. Let s be p(j). Solve -s*k = 2*k for k. 0 Let r = 11 + -6. Suppose 0 = -3*a - 2*z + 29, 0 = -3*a - 5*z + 46 - 5. Solve -4*x = -r - a for x. 3 Let c be (-15)/(-4)*144/27. Suppose -10*u + c = -6*u. Solve 3 = -u*q - 2 for q. -1 Let h(t) = -t**3 - 11*t**2 - 10*t + 13. Let x be h(-10). Let b = x + -13. Suppose b = -m + 5 - 1. Solve -m*i + 12 = -8 for i. 5 Let c be -3*(-6)/(-27)*-3 + 0. Solve c*v - 25 = -3*v for v. 5 Let c = -2949 - -2966. Solve c*n = -15 + 32 for n. 1 Let s = 1 + -1. Suppose s*f + 12 = 3*f. Solve -5*o + o + f = 0 for o. 1 Let d = 10 + -7. Suppose -8 = -d*x + 3*r + 1, 3*r = 2*x - 4. Solve 2*v - x*v = -6 for v. 2 Let g(h) be the second derivative of -h**5/20 - 13*h**4/12 + h**2 - 15*h. Let m be g(-13). Solve m*c - 25 = -3*c for c. 5 Let d be (125 - 116) + -1*5. Solve 348 - 348 = -d*l for l. 0 Suppose -4*i + 7*i = -2*b + 25, 4 = i + 5*b. Let r be (-3)/i*(-1 + (1 - 0)). Solve r*x = -5*x for x. 0 Let z(n) = -n**3 + 6*n**2 - n + 5. Let j be z(6). Let k be (8/(-10))/(j/10). Suppose 0 = -3*y - 2*y - 4*u - k, y + 4*u = -8. Solve -g - 4 + y = 0 for g. -4 Let d be (-6)/(-4)*(-16)/(-12). Solve -v = -d*v for v. 0 Let b(y) = y**3 - 19*y**2 - 2*y + 41. Let g(t) = 20*t**2 - 3*t + 2. Let q be g(1). Let p be b(q). Solve 2*l - p*l = 3 for l. -3 Let u(t) = 2*t**2 + 61*t - 28. Let g(o) = -7*o - 10. Let n be g(3). Let s be u(n). Solve 2*w = s*w - 1 for w. 1 Let j(k) = -k**3 - k**2 + 3*k - 4. Let s be j(-3). Suppose -11 - 14 = -s*r. Suppose -15 = 3*p - 2*p - r*q, -4*q + 12 = -5*p. Solve p*v = -5*v for v. 0 Suppose -5*d - 8 = -3*d. Let n = d + 6. Solve 2 = -n*l - 2 for l. -2 Suppose 12*r + 30*r = 13*r. Solve r = -6*g + 81 - 87 for g. -1
Let k(a) = -2*a**2 - 3. Let q(m) = 2*m + 10*m**2 - 2*m - 1 + 15. Give 28*k(n) + 6*q(n). 4*n**2 Let s(r) = -4*r + 6. Suppose 3*z + 3 = 2*p + 8*z, -p - 2*z = 0. Let m(l) = 6*l - 12. Let h(t) = -7*t + 13. Let w(x) = 5*h(x) + 4*m(x). What is p*w(c) + 17*s(c)? -2*c Let d(y) = -8*y**2 + 5*y - 5. Let b(h) = 13*h**2 - 8*h + 1. Let i(x) = 1. Let u(l) = 3*b(l) + 21*i(l). Give 24*d(j) + 5*u(j). 3*j**2 Let l(d) = -9*d**2 + 5*d - 8. Let x(v) = -8*v**2 + 4*v - 7. Determine -5*l(z) + 6*x(z). -3*z**2 - z - 2 Let n(f) = -f + 1. Let a(i) = -3*i**2 + 39*i - 39. Give -6*a(t) - 234*n(t). 18*t**2 Let k(x) = x**3 - x. Let o(f) = -12*f**3 + 18*f. Give -18*k(c) - o(c). -6*c**3 Suppose 4 = 3*c - 5. Let o(g) = 16 + 10*g + 3*g + 17*g**3 - c. Let p(d) = 8*d**3 + 6*d + 6. Determine 6*o(u) - 13*p(u). -2*u**3 Let u(n) = -n - 6. Let h = -2 + 6. Let c(m) = 1. Let z(a) = 6. Let w(i) = 4*c(i) - z(i). Let y(v) = -1. Let o(r) = 3*w(r) - 5*y(r). What is h*o(q) - u(q)? q + 2 Let u(j) be the second derivative of -j**2 - 13*j. Let z(q) = -2*q**2 + q**2 - 7 + 4. Calculate -3*u(y) + 2*z(y). -2*y**2 Let t(s) = -3*s**2 - s + 2. Let f(a) = -4*a**2 - a + 2. Calculate 2*f(b) - 3*t(b). b**2 + b - 2 Let s(l) = -5*l**3 - 9*l**2 + 3. Let k(w) = -11*w**3 - 19*w**2 + 7. Calculate -6*k(o) + 13*s(o). o**3 - 3*o**2 - 3 Let o(k) = -3*k**3 + 5*k**2 + 3*k + 7. Let m(c) = -2*c**3 + 3*c**2 + 2*c + 4. Let u(r) = -5*r. Let i be u(-1). Give i*m(s) - 3*o(s). -s**3 + s - 1 Let d(s) = -4*s + 1. Let k be 14/(5 - 6/2)*1. Let z(c) = 2*c - 3 + 1 + c + 6*c. Give k*d(q) + 3*z(q). -q + 1 Let g(b) = 7*b - 1 + 0 - 1 - b**2. Let a(u) = -u. Let f be -2 - 4/(0 + 1). Let y = f - -5. Give y*g(l) - 5*a(l). l**2 - 2*l + 2 Let t(m) = 6*m + 19. Let d(i) = -3*i - 9. Determine -13*d(x) - 6*t(x). 3*x + 3 Suppose -5*s + 3*c + 2 = 0, 0 = -s + 2*c + 6. Let t(q) = -5*q**2 + 4*q - 1. Let u(g) = 3 - 3*g + 4*g**2 - 6 + 6 + 3 - 5. Determine s*t(a) - 3*u(a). -2*a**2 + a - 1 Let a(o) = o**2 - 2. Let t(w) = -5*w**2 + 8. Let r(x) = 2*x - 3. Let z be r(-3). Let n = -9 + 7. Determine n*t(u) + z*a(u). u**2 + 2 Let g(p) = -6*p**3 + 2*p**2 + 3*p. Let m(c) = -11*c**3 + 27*c**2 + 5*c - 13*c**2 - 11*c**2 + 0*c. What is 5*g(k) - 3*m(k)? 3*k**3 + k**2 Let g(k) be the first derivative of 2*k**2 - 7*k + 2. Let y(r) = -2*r + 4. Suppose 1 = 2*n + 11. What is n*y(j) - 3*g(j)? -2*j + 1 Let t(b) be the second derivative of b**3/3 + b**2 + 2*b. Let i(n) = -2*n + 0*n - 4 + 5 - 3. Suppose 0 = -x - 3*x - 20. Give x*i(h) - 4*t(h). 2*h + 2 Let z be 4*(-2)/(2 + -4). Suppose 3*i + 7 = z*i. Let u(d) = -1 - i*d**3 - 3 + 6*d**3. Let v(b) = -1. Determine -2*u(f) + 9*v(f). 2*f**3 - 1 Let y(n) = n**2 - n. Let r(c) = 2*c**3 + 3*c**2 - 2*c. Give 2*r(k) - 6*y(k). 4*k**3 + 2*k Let u(r) = -17*r + 7. Let g(f) = -8*f + 3. What is -5*g(z) + 2*u(z)? 6*z - 1 Let i(d) = -d**3 + 4*d**2 + d + 4. Let m(j) = -2*j**2 + 17*j - 17. Let s be m(7). Let k(y) = -3*y**2 - y - 3. Determine s*k(x) + 3*i(x). -3*x**3 - x Let g(x) = -2*x + 4. Let o(d) = 3*d - 7. Let s(k) = 5*g(k) + 3*o(k). Let z(f) = -f**2 + 8*f + 5. What is 6*s(y) + z(y)? -y**2 + 2*y - 1 Let v(k) = 9*k**2 + 1. Let n(s) = -s**2 - 3*s**2 - 672 + 672. What is 5*n(i) + 2*v(i)? -2*i**2 + 2 Let j(y) = -5 - 3*y + 4*y + 3 + 0*y. Let i be ((-1)/2)/((-2)/(-4)). Let o(n) = n - 1. Determine i*j(g) + 2*o(g). g Let q(o) = -2*o - 25. Let d(y) = 6*y + 74. What is -2*d(x) - 7*q(x)? 2*x + 27 Let c(i) = -5*i**3 - 6. Let v(d) be the first derivative of -d**4 - 5*d + 1. Let g be 4/(-8) + (-9)/2. Determine g*c(u) + 6*v(u). u**3 Let g(x) = -x - 1. Let i(h) = -9*h**2 - 2*h - 2. What is 4*g(f) - i(f)? 9*f**2 - 2*f - 2 Let w(k) = 5*k**3 + 3*k**2 + 3*k - 3. Suppose 0 = -g + 4*x - 17, 5*g - x = 6 + 4. Let c(a) = -1 + 3*a**g + a**2 + 2*a**3 - 4*a**3 + a. Determine -3*c(p) + w(p). 2*p**3 Let d(x) = 4*x**2 + x - 2. Let i(m) = -7*m**2 - 2*m + 3. Give 11*d(w) + 6*i(w). 2*w**2 - w - 4 Let f(h) = 3*h + 207. Let n(s) = -s - 69. What is -6*f(d) - 17*n(d)? -d - 69 Let x(n) = -n**2 + 2*n + 2. Let c(y) be the first derivative of y**3/3 - y - 54. Let w be 22/(-8) + (-1)/4. What is w*c(d) - x(d)? -2*d**2 - 2*d + 1 Let v(s) be the second derivative of s**3/3 + 3*s**2/2 - 8*s. Let u(z) = 3*z + 5. What is -3*u(t) + 5*v(t)? t Let n(b) = -b + 1. Let f(j) = -3 - 2*j + 2*j + 3*j + j**2. Let o = 1 + -7. What is o*n(m) - 2*f(m)? -2*m**2 Let l(o) = -2*o - 1. Let c(u) be the third derivative of -u**4/8 - u**3/3 + 37*u**2. Determine 6*c(h) - 10*l(h). 2*h - 2 Let c(s) = 27*s**3 - 4*s**2 - 4*s - 7. Let b(t) = -9*t**3 + t**2 + t + 2. Determine 14*b(h) + 4*c(h). -18*h**3 - 2*h**2 - 2*h Let u(p) = -4*p**3 + 6*p**2 + 7*p. Let s(w) = 2*w**3 - 3*w**2 - 3*w. What is -7*s(m) - 4*u(m)? 2*m**3 - 3*m**2 - 7*m Let m(q) = 5*q**3 + 3*q + 3. Let k be ((-2 - -1) + 6)*1. Let x(c) be the second derivative of -9*c**5/20 - 5*c**3/6 - 5*c**2/2 + c. Determine k*m(u) + 3*x(u). -2*u**3 Let h(l) = 8*l + 2. Let i(v) = 7*v + 2. Calculate -3*h(w) + 4*i(w). 4*w + 2 Let t(x) = -x. Let a(o) = -3*o. What is -4*a(c) + 10*t(c)? 2*c Let i(z) = -z - 15. Let l(d) = d + 29. What is -11*i(b) - 6*l(b)? 5*b - 9 Let f(n) = 27*n - 2. Let w(b) = -53*b + 3. Give -5*f(l) - 3*w(l). 24*l + 1 Let v(o) = 7*o - 5. Suppose -3*p = -17 + 2. Let z(n) = -8*n + 6. What is p*z(b) + 6*v(b)? 2*b Let k(o) = o**3 - 3*o**2 + 16*o - 2. Let a(r) = -5*r**3 + 13*r**2 - 65*r + 9. What is -2*a(h) - 9*k(h)? h**3 + h**2 - 14*h Let v(d) = 3*d + 4. Let k(x) = x + 2. Suppose -5*r = z + 22, 4*z + r + 2*r + 54 = 0. Let s = -7 - z. What is s*k(h) - 2*v(h)? -h + 2 Let d be (-14)/(-7) - (1 + -4). Let w(s) = 2*s**3 + 4*s**2 + 5*s + 6. Let c(h) = -2*h**3 - 5*h**2 - 6*h - 7. What is d*w(y) + 4*c(y)? 2*y**3 + y + 2 Let v(x) = -60*x - 7. Let g(d) = -30*d - 3. Calculate 9*g(z) - 4*v(z). -30*z + 1 Let q be (54/8)/(-3)*4. Let h be (1/(-1))/(1/q). Let i(p) = 2 + 13 - 17 + 4*p. Let l(t) = -17*t + 9. What is h*i(w) + 2*l(w)? 2*w Let t(o) be the first derivative of 1 + o**4 - 13/2*o**2 - 13/3*o**3 - 13*o. Let b(p) = 2*p**3 - 6*p**2 - 6*p - 6. Suppose 2*r = 6 + 6. Give r*t(y) - 13*b(y). -2*y**3 Let i(b) = -4*b + 4. Let g be i(3). Let w(o) = 5*o + 1. Let a(p) = -14*p - 2. Calculate g*w(k) - 3*a(k). 2*k - 2 Let c(n) = n. Suppose -3*j - 15 = -8*j. Let r(m) = m**j + 7*m - 3*m - 3*m + 1. Let b be r(0). Let l(g) = -4*g. What is b*l(o) + 3*c(o)? -o Let n(s) = 5 - 3 - 3. Let c be 5/(-2)*6/(-5). Let m(a) = -c*a + 4*a - 2 - 2. What is -m(h) + 3*n(h)? -h + 1 Let v(n) = -4*n**2 + 5*n - 7. Suppose 25 = j - 3*f + 4, 4*f - 11 = -3*j. Let x(m) = -2*m**2 + 2*m - 3. What is j*x(i) - 4*v(i)? -2*i**2 - 2*i + 1 Let z(s) = -10*s - 9. Let o(d) = -d - 1. Let y(j) = 4*o(j) - z(j). Let a(k) = -7*k - 6. What is -5*a(g) - 6*y(g)? -g Let s(t) = -t**2 - 1. Let i(p) = -7*p**2 - p - 4. Determine -i(d) + 5*s(d). 2*d**2 + d - 1 Let o(l) = 5*l**2 + 3*l + 3. Let d(r) = 6*r**2 + 4*r + 4. Let v(w) = -w**3 - 3*w**2 + 2*w. Let n be v(-4). Let u = n + -5. Give u*d(m) - 4*o(m). -2*m**2 Let z(x) = 22*x**3 - 2*x**2 + 2. Let i(g) = 44*g**3 - 5*g**2 + 5. What is -2*i(v) + 5*z(v)? 22*v**3 Let m(y) = 5*y**3 - 4*y + 4. Let z(j) = 4*j**3 - 3*j + 3. Let s(o) = 3*o - 24. Let l be s(10). What is l*z(b) - 5*m(b)? -b**3 + 2*b - 2 Let u(h) = -3*h**3 - 2*h**2 - 4*h. Let o(g) = 2*g**3 + 2*g**2 + 3*g. Suppose 3*p - 11*p + 24 = 0. What is p*u(z) + 4*o(z)? -z**3 + 2*z**2 Let f(d) = -2*d + 12. Let v(x) = -1. Determine -f(s) + 5*v(s). 2*s - 17 Let m(o) = 6*o**3 - 23*o. Let p(f) = 2*f**3 - 8*f. Let g(y) = -6*m(y) + 17*p(y). Let t(d) = -6*d**3 + 6*d. Calculate -7*g(r) + 2*t(r). 2*r**3 - 2*r Let r(c) = c. Let g(d) = -5 + 5*d - 9*d + 3*d + 2. What is g(k) + 3*r(k)? 2*k - 3 Let w(y) = -2*y**3 - 3*y**2 - 3*y - 3. Let z(f) = f**3 + f**2 + f. Calculate w(p) + 3*z(p). p**3 - 3 Let k(n) = 3*n**2 + 4*n - 4. Let d(a) = 2*a**2 + 3*a - 4. Determine 5*d(q) - 4*k(q). -2*q**2 - q - 4 Let s(i) = -56 + i - 3*i + 62 - 3*i. Let f(j) = -6*j + 7. What is -3*f(o) + 4*s(o)? -2*o + 3 Let n(g) = 3*g**2 + 2. Let o(z) = -7*z**2 - 3*z - 5. Let d(u) = 14*u**2 + 7*u + 10. Let x(a) = -3*d(a) - 7*o(a). Give 5*n(y) - 2*x(y). y**2 Let g(f) = -2*f**3 - 9*f + 11. Let p be 6*-3*2/(-18). Let b be -6 + -1 + p/2. Let h(t) = t**3 + 5*t - 6. Calculate b*g(a) - 11*h(a). a**3 - a Suppose 2*t + 7 = t. Let q(c) = -10*c**3 + 4*c**2 + 10. Let i(s) = -3*s**3 + s**2 + 3. Let k be (10/8)/((-4)/(-16)). Let b = k - 3. What is b*q(p) + t*i(p)? p**3 + p**2 - 1 Let v = 387 - 382. Let k(h) = h**2 - 5*h + 2. Let z(w) be the first derivative of -w**3/3 + 3*w**2 - 3*w + 1. What is v*k(g) + 4*z(g)? g**2 - g - 2
What is 430 minutes before 5:26 PM? 10:16 AM How many minutes are there between 10:39 PM and 10:59 PM? 20 What is 553 minutes after 9:55 PM? 7:08 AM What is 266 minutes after 12:50 AM? 5:16 AM How many minutes are there between 10:15 AM and 11:52 AM? 97 What is 249 minutes after 1:56 PM? 6:05 PM What is 10 minutes before 2:29 AM? 2:19 AM What is 62 minutes before 4:04 AM? 3:02 AM What is 91 minutes before 1:15 PM? 11:44 AM How many minutes are there between 3:24 AM and 9:55 AM? 391 How many minutes are there between 2:54 PM and 6:09 PM? 195 How many minutes are there between 5:21 PM and 10:10 PM? 289 What is 266 minutes after 1:28 PM? 5:54 PM What is 103 minutes before 9:25 AM? 7:42 AM What is 310 minutes after 4:46 PM? 9:56 PM What is 144 minutes before 5:32 AM? 3:08 AM How many minutes are there between 3:55 AM and 10:40 AM? 405 How many minutes are there between 7:34 PM and 3:50 AM? 496 What is 657 minutes after 2:38 AM? 1:35 PM How many minutes are there between 6:01 PM and 4:00 AM? 599 What is 62 minutes before 3:36 PM? 2:34 PM What is 675 minutes after 7:08 AM? 6:23 PM What is 578 minutes before 10:12 AM? 12:34 AM What is 552 minutes before 5:14 AM? 8:02 PM What is 2 minutes before 10:26 PM? 10:24 PM What is 158 minutes before 10:05 PM? 7:27 PM What is 539 minutes before 4:03 AM? 7:04 PM What is 255 minutes after 9:24 PM? 1:39 AM How many minutes are there between 12:05 PM and 5:46 PM? 341 How many minutes are there between 10:57 PM and 8:46 AM? 589 What is 2 minutes before 9:07 AM? 9:05 AM What is 374 minutes before 11:25 AM? 5:11 AM What is 597 minutes after 3:57 AM? 1:54 PM How many minutes are there between 2:31 AM and 3:24 AM? 53 How many minutes are there between 10:53 AM and 1:25 PM? 152 What is 458 minutes before 7:43 PM? 12:05 PM How many minutes are there between 2:39 PM and 3:14 PM? 35 What is 54 minutes after 7:23 PM? 8:17 PM How many minutes are there between 9:29 PM and 9:35 PM? 6 What is 165 minutes after 9:01 PM? 11:46 PM What is 374 minutes before 1:40 AM? 7:26 PM How many minutes are there between 4:54 AM and 9:05 AM? 251 What is 251 minutes after 11:35 AM? 3:46 PM What is 117 minutes after 5:11 AM? 7:08 AM How many minutes are there between 3:18 PM and 12:21 AM? 543 What is 418 minutes after 9:36 AM? 4:34 PM How many minutes are there between 7:28 AM and 8:07 AM? 39 How many minutes are there between 12:44 PM and 3:39 PM? 175 What is 345 minutes before 12:18 AM? 6:33 PM How many minutes are there between 4:29 AM and 6:16 AM? 107 What is 697 minutes after 8:00 PM? 7:37 AM How many minutes are there between 2:46 PM and 2:25 AM? 699 What is 710 minutes after 12:59 PM? 12:49 AM How many minutes are there between 9:32 PM and 11:40 PM? 128 What is 627 minutes after 7:46 PM? 6:13 AM What is 526 minutes before 1:43 PM? 4:57 AM How many minutes are there between 8:18 AM and 7:30 PM? 672 How many minutes are there between 10:32 PM and 5:32 AM? 420 What is 320 minutes before 4:53 AM? 11:33 PM How many minutes are there between 11:33 AM and 7:23 PM? 470 How many minutes are there between 10:28 AM and 4:21 PM? 353 How many minutes are there between 12:59 PM and 1:24 PM? 25 What is 423 minutes after 8:21 AM? 3:24 PM What is 457 minutes after 1:57 PM? 9:34 PM What is 564 minutes after 6:41 AM? 4:05 PM How many minutes are there between 11:39 AM and 11:53 AM? 14 How many minutes are there between 5:53 AM and 12:21 PM? 388 What is 599 minutes after 9:42 PM? 7:41 AM What is 202 minutes before 6:47 AM? 3:25 AM How many minutes are there between 11:48 AM and 10:19 PM? 631 What is 714 minutes after 12:13 PM? 12:07 AM What is 249 minutes before 7:47 AM? 3:38 AM What is 170 minutes before 5:17 AM? 2:27 AM What is 54 minutes after 8:25 AM? 9:19 AM How many minutes are there between 5:39 AM and 11:00 AM? 321 How many minutes are there between 11:08 PM and 8:55 AM? 587 How many minutes are there between 6:11 PM and 5:11 AM? 660 How many minutes are there between 10:30 AM and 1:47 PM? 197 How many minutes are there between 4:19 PM and 6:29 PM? 130 What is 681 minutes after 8:44 AM? 8:05 PM What is 573 minutes after 2:38 PM? 12:11 AM How many minutes are there between 3:53 AM and 4:13 AM? 20 What is 559 minutes after 2:07 AM? 11:26 AM How many minutes are there between 6:30 AM and 12:12 PM? 342 How many minutes are there between 7:48 PM and 3:16 AM? 448 How many minutes are there between 10:07 AM and 7:02 PM? 535 How many minutes are there between 12:26 PM and 7:49 PM? 443 How many minutes are there between 2:00 PM and 2:33 PM? 33 What is 110 minutes after 2:28 AM? 4:18 AM What is 274 minutes before 2:28 PM? 9:54 AM What is 298 minutes before 12:42 AM? 7:44 PM How many minutes are there between 10:14 PM and 11:51 PM? 97 What is 719 minutes after 7:35 PM? 7:34 AM How many minutes are there between 7:54 PM and 8:14 PM? 20 What is 11 minutes after 7:27 PM? 7:38 PM What is 52 minutes before 10:06 PM? 9:14 PM What is 573 minutes after 6:03 PM? 3:36 AM What is 530 minutes before 4:08 AM? 7:18 PM What is 472 minutes before 12:13 AM? 4:21 PM How many minutes are there between 12:38 PM and 6:02 PM? 324 What is 283 minutes before 9:51 PM? 5:08 PM What is 303 minutes before 5:25 AM? 12:22 AM How many minutes are there between 12:59 PM and 3:32 PM? 153 How many minutes are there between 3:56 AM and 7:23 AM? 207 What is 207 minutes before 5:31 AM? 2:04 AM What is 627 minutes before 7:03 AM? 8:36 PM What is 341 minutes before 11:47 PM? 6:06 PM How many minutes are there between 3:46 AM and 7:59 AM? 253 What is 110 minutes after 2:29 PM? 4:19 PM How many minutes are there between 3:20 PM and 2:23 AM? 663 What is 503 minutes before 12:57 AM? 4:34 PM What is 428 minutes after 9:36 AM? 4:44 PM How many minutes are there between 12:57 AM and 10:29 AM? 572 What is 295 minutes before 12:03 AM? 7:08 PM What is 69 minutes after 11:53 PM? 1:02 AM What is 462 minutes after 8:09 AM? 3:51 PM How many minutes are there between 11:59 AM and 11:04 PM? 665 What is 51 minutes before 9:54 AM? 9:03 AM What is 315 minutes before 12:11 PM? 6:56 AM How many minutes are there between 10:08 AM and 8:17 PM? 609 How many minutes are there between 12:06 AM and 2:46 AM? 160 What is 40 minutes after 2:42 PM? 3:22 PM How many minutes are there between 1:56 PM and 9:43 PM? 467 What is 568 minutes before 2:47 PM? 5:19 AM What is 160 minutes before 4:02 AM? 1:22 AM How many minutes are there between 7:16 PM and 2:04 AM? 408 What is 274 minutes before 12:29 AM? 7:55 PM How many minutes are there between 2:07 AM and 1:24 PM? 677 How many minutes are there between 9:20 AM and 9:32 AM? 12 How many minutes are there between 11:20 AM and 7:03 PM? 463 What is 605 minutes before 10:01 AM? 11:56 PM How many minutes are there between 7:58 AM and 7:44 PM? 706 How many minutes are there between 6:38 AM and 8:16 AM? 98 How many minutes are there between 5:13 PM and 11:51 PM? 398 What is 321 minutes before 2:49 PM? 9:28 AM What is 456 minutes before 10:14 AM? 2:38 AM What is 173 minutes before 3:01 PM? 12:08 PM What is 302 minutes before 4:35 AM? 11:33 PM How many minutes are there between 6:41 PM and 4:57 AM? 616 What is 647 minutes after 7:17 AM? 6:04 PM What is 41 minutes after 2:08 AM? 2:49 AM How many minutes are there between 3:29 AM and 4:59 AM? 90 How many minutes are there between 10:55 AM and 1:23 PM? 148 What is 586 minutes before 2:31 PM? 4:45 AM What is 560 minutes after 7:32 AM? 4:52 PM How many minutes are there between 9:11 AM and 7:18 PM? 607 How many minutes are there between 12:07 AM and 1:01 AM? 54 How many minutes are there between 2:07 AM and 6:58 AM? 291 What is 662 minutes before 6:24 AM? 7:22 PM How many minutes are there between 7:18 PM and 3:00 AM? 462 How many minutes are there between 9:29 AM and 2:56 PM? 327 What is 387 minutes after 11:54 PM? 6:21 AM How many minutes are there between 9:34 AM and 10:41 AM? 67 What is 669 minutes before 8:28 AM? 9:19 PM How many minutes are there between 5:36 AM and 11:29 AM? 353 How many minutes are there between 3:57 PM and 9:41 PM? 344 How many minutes are there between 2:41 PM and 6:03 PM? 202 What is 663 minutes before 3:07 AM? 4:04 PM How many minutes are there between 3:58 PM and 4:18 PM? 20 What is 474 minutes before 7:40 AM? 11:46 PM What is 354 minutes before 9:26 PM? 3:32 PM How many minutes are there between 4:04 PM and 11:02 PM? 418 What is 40 minutes before 4:45 PM? 4:05 PM What is 631 minutes before 10:57 AM? 12:26 AM How many minutes are there between 2:10 AM and 12:19 PM? 609 How many minutes are there between 6:48 PM and 12:47 AM? 359 How many minutes are there between 11:58 PM and 11:38 AM? 700
Let n(g) = 4*g**3 - 56*g**2 - 2*g + 39. Calculate n(14). 11 Let k(c) = -54*c**2 + 3726*c + 2. What is k(69)? 2 Let k(b) = -3*b**2 + 211*b - 242. Determine k(69). 34 Let h(r) = -61*r - 1151. Give h(-18). -53 Let q(x) = x**3 + 6*x**2 - 37*x + 19. Calculate q(-10). -11 Let d(m) = m**3 - 54*m**2 - 120*m - 10. Give d(-2). 6 Let b(q) = -q**3 + 16*q**2 - 60*q + 18. Give b(10). 18 Let s(d) = 154*d - 707. Calculate s(4). -91 Let u(a) = 2*a**2 - 64*a + 135. Calculate u(2). 15 Let y(r) = r**3 - 40*r**2 + 167*r - 842. Give y(36). -14 Let i(y) = -3*y**2 - 9*y - 18. What is i(-6)? -72 Let m(w) = w**3 + 6*w**2 + 13*w - 1. Give m(-6). -79 Let n(w) = -2*w**3 + 53*w**2 + 75*w + 244. Determine n(28). -8 Let r(t) = t**2 + 733*t + 10768. Calculate r(-15). -2 Let c(d) = -d**3 + 9*d**2 + 5*d + 44. Give c(10). -6 Let j(d) = 3*d**3 - 3*d**2 + 2*d + 10. What is j(0)? 10 Let n(i) = -195*i - 933. Give n(-6). 237 Let x(o) = 28*o + 209. What is x(-7)? 13 Let w(t) = -22*t + 384. What is w(23)? -122 Let i(r) = 23*r**3 - 12*r**2 - 2. Give i(1). 9 Let p(m) = 154*m - 377. Give p(4). 239 Let a(h) = 5*h**2 - 112*h + 451. Calculate a(17). -8 Let p(v) = 100*v + 588. Determine p(-6). -12 Let a(s) = 577*s + 73. What is a(-1)? -504 Let t(p) = 116*p + 2003. Determine t(-17). 31 Let c(i) = -3*i**3 + 177*i**2 - 339*i - 178. Determine c(57). -7 Let c(l) = 2*l**3 + 107*l**2 - 54*l - 16. Give c(-54). -16 Let i(k) = k**2 - 31*k - 208. Calculate i(43). 308 Let f(b) = -94*b + 1685. Determine f(18). -7 Let v(u) = 109*u - 3119. Calculate v(28). -67 Let i(z) = z**3 - 20*z**2 + 16*z + 302. Determine i(5). 7 Let q(r) = -r**2 - 59*r - 616. Give q(-14). 14 Let a(p) = -p**2 - 7*p - 35. Calculate a(-6). -29 Let o(p) = 8*p + 368. Determine o(-47). -8 Let v(w) = w**3 + 9*w**2 + 66*w + 442. What is v(-8)? -22 Let y(o) = -5401*o + 10799. Calculate y(2). -3 Let q(p) = 12*p**3 - 2232*p**2 + 2*p - 363. Give q(186). 9 Let q(z) = 23*z + 135. Calculate q(-11). -118 Let l(i) = 2*i**3 - 32*i**2 - 45*i + 186. Determine l(17). -1 Let v(x) = -251*x - 1065. What is v(-4)? -61 Let g(t) = 12*t - 996. Calculate g(85). 24 Let g(z) = -612*z - 3055. Determine g(-5). 5 Let s(b) = b**2 + 1441*b - 8679. Determine s(6). 3 Let m(j) = j**3 + 68*j**2 + 126*j - 376. Give m(-66). 20 Let h(b) = 27*b - 155. Determine h(11). 142 Let a(j) = -51*j + 56. Calculate a(0). 56 Let a(g) = -334*g - 12959. Determine a(-39). 67 Let g(c) = 5*c**2 + 33*c - 1444. Give g(14). -2 Let l(k) = -k**2 - 17*k + 78. What is l(11)? -230 Let x(i) = -45*i + 4. Give x(0). 4 Let i(o) = -o**3 - 2*o**2 + 92*o + 110. What is i(0)? 110 Let s(p) = -103*p - 70. Calculate s(-3). 239 Let f(i) = -3*i**2 + 86*i - 491. Give f(8). 5 Let a(v) = 33*v - 42. Calculate a(-5). -207 Let p(c) = -77*c - 6. Calculate p(0). -6 Let h(p) = 38*p + 214. Determine h(-9). -128 Let d(b) = b**3 - b**2 + 15*b - 57. Calculate d(3). 6 Let t(m) = -m**3 - 5*m**2 + 4*m - 41. Give t(-6). -29 Let z(u) = 325*u - 32187. Calculate z(99). -12 Let q(p) = -2*p**3 - 19*p**2 - 13*p + 16. Determine q(-7). -138 Let c(i) = -99*i - 2572. Calculate c(-26). 2 Let y(l) = 2*l**3 + 42*l**2 - 48*l - 31. Calculate y(-22). 57 Let y(l) = 44*l**3 - 2245*l**2 + 56*l - 265. Determine y(51). -10 Let p(w) = 3*w**2 - 285*w - 61. Give p(95). -61 Let h(d) = -2*d**2 + 51*d - 39. Determine h(25). -14 Let r(g) = -5*g**2 - 11*g + 35. Calculate r(3). -43 Let j(b) = b**3 + 7*b**2 - 503*b - 3057. Calculate j(-6). -3 Let g(v) = -2*v**3 - 132*v**2 + 138*v + 301. Calculate g(-67). 33 Let p(i) = i**3 - 23*i**2 + 37*i + 734. Calculate p(19). -7 Let x(q) = 2*q**2 - 138*q + 2309. Give x(28). 13 Let b(f) = -f**3 + 54*f**2 - 41*f - 732. Give b(53). -96 Let x(f) = -325*f**2 + 1303*f - 3. Give x(4). 9 Let y(o) = o**3 + 56*o**2 + 62*o + 382. Calculate y(-55). -3 Let p(g) = -4*g**2 - 29*g + 647. What is p(13)? -406 Let a(w) = -55*w + 200. Give a(3). 35 Let b(k) = 22*k - 37. What is b(2)? 7 Let d(i) = 12*i + 134. Calculate d(-6). 62 Let b(n) = 94*n - 3956. Determine b(42). -8 Let v(o) = -57*o**2 - 1138*o + 16. What is v(-20)? -24 Let b(j) = 443*j + 1323. Give b(-3). -6 Let c(l) = -71*l + 71. Calculate c(1). 0 Let b(y) = 74*y**2 - 12*y - 12. Calculate b(-1). 74 Let a(i) = -i**3 + 11*i**2 - 13*i - 7. What is a(11)? -150 Let k(h) = -h**3 + 29*h**2 + 61*h + 69. Calculate k(31). 38 Let c(g) = 14*g - 74. Give c(3). -32 Let s(c) = -2*c**2 - 15*c - 10. Calculate s(-4). 18 Let b(v) = 40*v**2 - 162*v + 6. Determine b(4). -2 Let s(m) = 2*m**3 - 2*m**2 - 214*m - 1104. Give s(-5). -334 Let i(k) = k**2 - k - 306. What is i(18)? 0 Let i(z) = -9*z**2 + 7*z - 10. Give i(-4). -182 Let g(r) = 3*r - 56. Calculate g(-3). -65 Let i(j) = 3*j**2 + 72*j - 171. Give i(-26). -15 Let o(i) = i**3 - 3*i**2 - 132*i + 40. What is o(13)? 14 Let n(j) = j**2 + 41*j - 346. What is n(7)? -10 Let c(d) = -d**3 + 2*d**2 + 153*d - 167. Determine c(-12). 13 Let q(f) = -280*f + 10982. What is q(39)? 62 Let n(k) = k**3 + 48*k**2 + 50*k + 120. Give n(-47). -21 Let x(h) = -2*h**3 - h**2 + 72*h + 30. What is x(-6)? -6 Let i(h) = -3*h**3 - 139*h**2 + 92*h - 86. Determine i(-47). 8 Let c(r) = -2*r**3 - r**2 + 43*r + 47. Give c(9). -1105 Let g(c) = 6*c + 156. Determine g(31). 342 Let j(g) = -229*g + 812. Give j(4). -104 Let y(w) = -33*w**2 + 233*w - 7. Calculate y(7). 7 Let g(s) = 2*s**3 + 2*s**2 + 93*s + 59. What is g(0)? 59 Let o(t) = -257*t + 54974. Calculate o(214). -24 Let v(r) = -60*r - 563. Give v(-9). -23 Let l(z) = 9*z + 728. Calculate l(-74). 62 Let u(d) = -d**3 - 2*d**2 - d + 6. Give u(3). -42 Let t(o) = 589*o - 2347. Calculate t(4). 9 Let r(i) = i**3 + 197*i**2 + 215*i + 3728. Calculate r(-196). 4 Let f(j) = -j**2 - 233*j - 5207. Calculate f(-25). -7 Let r(x) = 1360*x + 67993. Calculate r(-50). -7 Let u(p) = -p**2 + 37*p + 3721. What is u(83)? -97 Let y(u) = -u**2 + 28*u + 224. What is y(-7)? -21 Let u(o) = 12*o**2 + 97*o - 16. Give u(-8). -24 Let t(d) = 10*d + 18. Calculate t(13). 148 Let s(j) = -52508*j - 52513. Give s(-1). -5 Let t(f) = f**3 - 5*f**2 + 93*f - 353. Determine t(4). 3 Let i(d) = 36*d + 16. What is i(0)? 16 Let s(o) = -o - 63. Calculate s(-9). -54 Let y(s) = -s**3 + 62*s**2 - 856*s - 215. Determine y(41). -10 Let w(o) = 2*o**3 + 205*o**2 - 1416*o + 76. What is w(-109)? -33 Let l(x) = -1389*x + 12498. Determine l(9). -3 Let v(u) = -66*u - 1109. Determine v(-17). 13 Let c(q) = -7*q**3 + 266*q**2 - 254*q - 75. Calculate c(37). 110 Let r(z) = -254*z + 8627. Calculate r(34). -9 Let j(i) = -2735*i + 10932. Give j(4). -8 Let f(x) = -2046*x + 22617. Calculate f(11). 111 Let a(f) = -22*f**2 + 2277*f - 2263. Calculate a(1). -8 Let p(a) = -8168*a + 57160. Determine p(7). -16 Let c(v) = v**3 - 28*v**2 + 23*v + 120. Give c(27). 12 Let n(x) = x**3 + 5*x**2 - 144*x - 795. Determine n(-6). 33 Let w(n) = n**3 - 34*n**2 - 13. Calculate w(34). -13 Let i(a) = -a**3 + a**2 - a - 508. Calculate i(0). -508 Let q(z) = -11*z**2 - 6*z + 17. Determine q(4). -183 Let q(v) = -2*v**2 + 218*v + 46220. What is q(-107)? -4 Let m(o) = -o**3 - 11*o**2 - 33*o - 125. Determine m(-9). 10 Let o(q) = -9*q**3 + 3*q**2 + 19*q + 19. What is o(-2)? 65 Let o(t) = t**3 + 20*t**2 - 39*t + 19. Determine o(-22). -91 Let z(r) = -2*r**2 + 142*r + 2220. Calculate z(85). -160 Let h(k) = -5*k**3 - 168*k**2 + 252*k + 239. Give h(-35). -6 Let u(k) = -9*k**2 + 233*k - 18. What is u(26)? -44 Let p(k) = k**3 - 23*k**2 - 248*k + 13. What is p(-8)? 13 Let w(l) = 1864*l + 44728. Determine w(-24). -8 Let m(l) = -l**3 - 15*l**2 - 189*l + 1885. Determine m(6). -5 Let r(h) = -329*h - 4181. Give r(-13). 96 Let l(x) = 13*x**2 + 91*x - 6. Calculate l(4). 566 Let l(r) = 9*r**2 + 150*r - 165. What is l(1)? -6 Let c(a) = 3028*a - 9050. Give c(3). 34 Let w(c) = -44*c - 170. Determine w(2). -258 Let k(t) = 107*t + 626. Determine k(-6). -16 Let x(i) = -7*i**3 + 517*i**2 + 88*i - 1041. Calculate x(74). -5 Let h(j) = j**3 - 46*j**2 - j + 49. Give h(46). 3 Let b(k) = 628*k + 507. Determine b(-1). -121 Let v(f) = f**2 - 106*f + 208. Determine v(2). 0 Let t(s) = -65*s - 2680. Determine t(-40). -80 Let t(s) = 26*s**2 - 761*s + 197. What is t(29)? -6 Let z(h) = -h**3 - 16*h**2 + 95. Give z(-11). -510 Let d(s) = -14*s**2 - 5*s - 56. What is d(-6)? -530 Let h(q) = q**3 + 8*q**2 - 11*q - 55. What is h(3)? 11 Let k(q) = -35*q**2 - 2458*q - 560. Determine k(-70). 0 Let j(h) = -h**3 - 12*h**2 - 7*h + 39. Give j(-11). -5 Let u(s) = -2*s**3 + 44*s**2 + 49*s - 53. Determine u(23). 16 Let c(g) = 10*g**2 + 354*g - 231. Give c(-36). -15 Let p(z) = z**2 + 49*z + 5. What is p(-49)? 5 Let p(w) = -4*w**3 - 2*w**2 - w + 1. Calculate p(1). -6 Let o(j) = j**3 - 3*j**2 - 18*j - 31. What is o(-2)? -15
Let b(k) = -k - 4. Let u be b(-3). Is 14 a factor of u + 30 + -1*1? True Suppose -148 + 444 = 4*k - 3*v, -4*k = v - 280. Let c = k + -43. Is c a multiple of 24? False Let v = 132 - 65. Suppose 0 = -z + v - 10. Is 15 a factor of z? False Suppose 3*t + 0 = 5*d - 36, 2*d - 5*t - 3 = 0. Let q(k) = 3*k + 1. Is q(d) a multiple of 14? True Let x(j) = -31*j + 1. Let p be x(1). Let a = 50 + p. Is a a multiple of 10? True Let u = -80 + 140. Is 20 a factor of u? True Suppose -556 = -4*p + 5*z, -5*z = -5*p + 2*p + 412. Is p a multiple of 10? False Suppose -i = -6*i + 5*b - 20, -3*b = -i - 12. Let y be (i - 0/3) + 12. Let w = y - 7. Is w a multiple of 5? True Is (-3)/((-6)/316) - 2 a multiple of 52? True Suppose -6*d - 16 = -2*d. Is 15 a factor of (1 - 0)/(d/(-84))? False Suppose 159 = 3*j + 3*z, -5*j + 174 = 2*z - 106. Is j a multiple of 4? False Is 19 a factor of (12/(-36))/(1/(-507))? False Is (1 - 71)/((-14)/7) a multiple of 9? False Let r be (-4)/(-14) - (-1000)/28. Let u = r - 12. Does 10 divide u? False Suppose -4*f + 86 = 5*j - 7*f, 4*f = -3*j + 69. Let i = 33 - j. Is 5 a factor of i? False Suppose 5*d - 50 = 3*q, -3*q - 1 = d + 43. Let g = 32 - q. Is g a multiple of 11? False Let a(b) = 6*b**2 - b - 11. Is 24 a factor of a(5)? False Let g be -3 + (-2 - -9 - 1). Suppose 30 = -0*t + g*t. Is t a multiple of 10? True Suppose 4*v + t = -20 + 7, -1 = t. Let y = 9 + v. Is y a multiple of 2? True Suppose -5*t = -4 - 36. Suppose 3*h = -2*i - t + 4, 4*h - 5*i = -13. Is 2 a factor of (-18)/(-3) - (-1 - h)? False Let g be 5/5 + 0 + -1. Let v be (-10)/(-15)*(-474)/(-4). Suppose -3*h + v - 1 = g. Is 18 a factor of h? False Is 34 a factor of -4 + (2 + 53 - 0) - -2? False Does 14 divide ((-14)/(-8))/((-1)/(-24))? True Let y(q) = -87*q**3 + 2*q + 2. Is 14 a factor of y(-1)? False Does 7 divide (-8)/(3/21*-2)? True Let l(j) = j**3 - 6*j**2 - j + 6. Let f be l(6). Suppose 4*b - 13 - 7 = f. Suppose -2*k - 7 = -4*y + k, -8 = -b*y + 4*k. Does 4 divide y? True Suppose t - 200 = -q - t, -5*q = -2*t - 1012. Is q a multiple of 47? False Let m = 23 + 3. Is m a multiple of 10? False Suppose -26 = -b - 5. Let d be 6/b - 4/14. Suppose 2*p - 2*f - 28 = 0, p + 2*p + 5*f - 18 = d. Is p a multiple of 11? True Let q(v) = -v**3 - 10*v**2 - 11*v + 5. Is 21 a factor of q(-9)? False Suppose -5*o = 5*z - 15, 0*z + 4*o + 6 = 2*z. Suppose 4*i - 3 = -t + z, 4*t + 32 = -2*i. Is 5 a factor of (-52)/t + 1/(-5)? True Let u be (-315)/(-6) + (-1)/2. Let q = u - 21. Does 31 divide q? True Let i be 3/(6/(-8)) - 1. Let n(z) = -z**3 - 4*z**2 + 3*z - 2. Is n(i) a multiple of 4? True Suppose 3*a + 25 = 64. Suppose 2*k = 4*u - 109 - a, -u + 47 = 5*k. Does 11 divide u? False Suppose 5*j - 5 - 5 = 0, d + 3*j - 9 = 0. Suppose -5*i + 32 = 4*a, 0 = -0*i - i + 4. Suppose 6*h - d*h = a*f + 90, 120 = 5*h + f. Is h a multiple of 19? False Let d(x) = -2*x + 90. Does 25 divide d(0)? False Suppose -3*k + 202 = -k. Is k a multiple of 22? False Let k(j) = -24*j**3 - 2*j - 1. Does 9 divide k(-2)? False Let q(p) = -p**2 - 7*p + 3. Let a be q(-8). Let k = a - -33. Suppose h = -0*h + k. Does 14 divide h? True Is (387/(-36))/(-1*2/8) a multiple of 14? False Let x(l) = -l**3 + 9*l**2 + 11*l - 16. Is 17 a factor of x(8)? True Suppose v = 2*v - 218. Let r = 142 - v. Let c = -54 - r. Is c a multiple of 18? False Let j(f) = -2*f**2 - 3*f**2 - f**2 + f**3 + 7 - 4*f - 2*f. Is j(7) a multiple of 14? True Suppose 315 + 257 = 4*i. Is i a multiple of 11? True Let s(r) be the second derivative of 1/20*r**5 + 5/6*r**3 + 0 + 2*r - 7/2*r**2 + 2/3*r**4. Does 12 divide s(-6)? False Suppose -3*r + j = -130, -5*r - 4*j + 94 = -134. Is 11 a factor of r? True Is 22 a factor of 196/21*(-36)/(-7)? False Suppose 0 = 3*i + 55 - 460. Is 17 a factor of i? False Let h(l) be the first derivative of l**2/2 - 7*l - 3. Let z be h(10). Suppose z*f = -f + 52. Is f a multiple of 13? True Suppose -1 = 3*l - 55. Let w = 37 - l. Let k = -7 + w. Is k a multiple of 12? True Let t = 195 + -116. Is t a multiple of 17? False Suppose 3*z + 0*z = 24. Is 4 a factor of z + 4 - (0 + -1)? False Let p be (-2 - (-3)/2)*-138. Suppose 0*q = -3*q + p. Is q a multiple of 4? False Let g = 69 - 20. Is g a multiple of 7? True Let j(c) = c**3 - 2*c**2 + 3*c - 3. Let z be j(2). Suppose i + z*i = 0. Suppose 3*f - 72 = -i*f. Is f a multiple of 10? False Suppose 70 = -5*k - 0*k. Let i = k + 22. Is i a multiple of 5? False Suppose -6 = z + 3*b - 0, 2*b + 6 = 0. Suppose 119 - 23 = z*q. Suppose -4*g - 28 = -3*r, -4*r + 0*g + 4*g = -q. Is r a multiple of 2? True Does 10 divide (3 - -74) + 7 + -4? True Let j = 70 + -48. Is (j/2)/1*1 a multiple of 11? True Let j(f) = -f - 3. Let s be j(-6). Let w be (-56)/1*s/(-4). Suppose -4*r = -2*r - w. Does 10 divide r? False Let m be 3/(-1 + (1 - -1)). Suppose -m = a - 5. Suppose -a*i = i - 54. Does 9 divide i? True Let f(b) = 4*b**2 - 11*b - 24. Is 14 a factor of f(-4)? True Suppose -4*p + 18 = c, -5*p + 19 = 3*c - 0*p. Let b(w) = w**2 - w - 2. Let l be b(c). Suppose -q = 3*j - 17, -61 = -l*q - 3*j - 2*j. Is 14 a factor of q? True Let p be 1 + 3 + (-2 - 0). Suppose -36 = -5*t + t + p*s, 3*s = 3*t - 33. Suppose -t*g = -4*g - 12. Is 2 a factor of g? True Suppose 5*v = -2*z + 66, 0 = -9*z + 4*z - v + 142. Suppose -3*p - 5 + 19 = k, -5*p = 4*k - z. Is k even? True Let h(y) = 4*y + 1. Let p be h(4). Suppose -p - 27 = -4*q. Is 5 a factor of q? False Let d = 32 - -2. Does 34 divide d? True Let g = -152 - -45. Let x be 0 - -2 - (-1 + g). Suppose -3*k + x = 2*k. Is k a multiple of 13? False Suppose -4*c - z = -62, -3*c - 2*z + 49 = -0*c. Let d(q) = q**2 - 14*q - 12. Is 3 a factor of d(c)? True Suppose 7*a - 3*a = 28. Is 7 a factor of a? True Suppose -20 = -3*j - j. Does 5 divide j? True Let t be 0/4 - (2 + -2). Suppose 0 = -t*d - 4*d - 4. Is 9 a factor of (-104)/(-12) + d/(-3)? True Suppose -13 - 11 = -2*g. Is 5 a factor of g? False Let x(k) = 4*k + 3. Does 4 divide x(4)? False Let g = -16 + 9. Let r(i) = -8*i + 8. Let b be r(g). Suppose -3*q + b = q. Is q a multiple of 8? True Suppose 2*m = -3 - 1. Is 1*m - (-8 + -16) a multiple of 11? True Suppose -2*a + 114 = u, -2*u + 3*a + 158 = -49. Suppose 5*g - 3*k - u = 0, 2*g = -3*g - 4*k + 136. Is g a multiple of 8? True Let k(a) = 2*a - 9. Let o be k(0). Is -24*(-6)/o*-1 a multiple of 4? True Let g(h) = 2*h**3 - 2*h**2 - 13*h + 3. Is 30 a factor of g(5)? False Let b(j) = j**3 + 4*j**2 + 2*j - 1. Let l be b(-2). Is (-26)/(1 + l/(-2)) a multiple of 15? False Let u = 57 - -36. Is 17 a factor of u? False Let y be (-5 + 6)/((-1)/19). Let s = 39 + y. Is s a multiple of 4? True Suppose -530 = -3*s - 2*s. Suppose z - 271 = -s. Does 9 divide 3/(-9) + z/9? True Suppose 0 = -0*k + 5*k - 225. Is k a multiple of 13? False Let l = 15 + -11. Let h(v) = -v**3 + 4*v**2 + 3*v + 4. Is 12 a factor of h(l)? False Let a(q) = q**2 + 4*q - 1. Let p be a(-5). Suppose -208 = -5*s + p*w, -3*s = w - 5*w - 128. Let n = s + -16. Is 12 a factor of n? True Suppose -4*y + 172 = 4*i - 0*y, 4*i - 5*y = 145. Is 17 a factor of i? False Let p be (2 - 1)/(2/14). Let c(h) = h - 15. Let g be c(p). Let j = g + 23. Does 15 divide j? True Suppose 218 = 4*s + 82. Is 12 a factor of s/((-8)/4 - -4)? False Let r be -3 + 3/(-1 + 2). Suppose 0 = -r*p + 4*p. Suppose p*d - 33 = -3*d. Is d a multiple of 11? True Let m be (14/(-8) + 1)*-24. Suppose -4 = -g - l + 3, 2*g - 2*l = m. Does 4 divide g? True Let i(n) = n**3 - 9*n**2 + n + 13. Let y be 8 + ((-4)/(-2))/2. Does 11 divide i(y)? True Suppose z - 1395 = 6*z. Is z/(-12) + 2/(-8) a multiple of 15? False Let m(h) = 4*h**2 + 7*h + 5. Let o(r) = -5*r**2 - 6*r - 4. Suppose 0 = -4*q - 0 - 24. Let w(g) = q*o(g) - 5*m(g). Is 10 a factor of w(1)? True Suppose -4*a + 44 = -164. Suppose 5*p - a + 12 = 0. Is 3 a factor of p? False Let q(j) = -2*j**3 - 9*j**2 - j + 1. Let n(w) = -w**2. Let h(l) = -3*n(l) + q(l). Is 10 a factor of h(-4)? False Let i(q) = -q**3 - 6*q**2 - 6*q - 4. Let z be i(-5). Let p be (16/(-6))/((-2)/3). Suppose -y - 15 = -p*f, y - 2 = -2*f + z. Is f even? False Suppose 38 = -3*x - 274. Suppose -158 = 2*k + 2*q - 0*q, -q = -2*k - 143. Let b = k - x. Does 15 divide b? True Suppose -5*a + 2*a = 9. Is 4 a factor of a/(-7) - (-265)/35? True Let r = 52 - 16. Does 9 divide r? True Let a(n) = n**2 - 7*n. Let i be a(8). Let l = 20 - i. Let o = l - 5. Does 7 divide o? True Suppose 0 = 5*k + x + 53, 2*k + 2*x = 6*k + 48. Let f = k + 7. Let d = f - -8. Is 4 a factor of d? True Let c = 41 + -33. Is 8 a factor of c? True
Express (-2*z**2 - 1 + 3*z**2 - 3*z**2)*(-103 - 60 + 714 + 589) as y + u*z**2 + r*z and give r. 0 Express -951*a + 3084*a + 47 - 102 + 55 in the form d + x*a and give d. 0 Rearrange 47*u - 20*u**3 - 46*u + 228*u**3 + 2 to a*u + o*u**2 + c*u**3 + r and give r. 2 Rearrange -18*b**4 + 13*b**4 - 20*b**4 + (5*b**2 - 14*b**2 - 17*b**2)*(-2*b**2 - b**2 + b**2) to d*b**2 + c*b**4 + o*b**3 + t + a*b and give c. 27 Express 491*h**2 + 6097 - 6097 - 11*h**2 in the form x*h + n*h**2 + c and give n. 480 Rearrange -6 - 31*y**2 + 4 + 285*y**2 + 3 to the form p*y**2 + n*y + m and give n. 0 Express 707 + 520*z + 716 - 1423 in the form s*z + f and give s. 520 Rearrange -1364*q - 1 + 1343*q + 4 to the form r*q + v and give v. 3 Express 45 - 45 + 256*j - 291*j in the form k + c*j and give c. -35 Express (-5 - g + 1 + 3)*(2 + 2 + 9)*(-2*g + 8*g**2 + 2*g) as x*g + k + a*g**3 + u*g**2 and give k. 0 Rearrange -554*z**2 + 2 + 245*z**2 + z**4 - 2*z**4 + z**3 + 243*z**2 to the form o*z + b*z**4 + g*z**2 + u + v*z**3 and give u. 2 Express (-1 + 0 + 2)*(-106*s**2 - 325*s**2 - 94*s**2) as x*s**2 + u + g*s and give x. -525 Express -2*s - 44 - 39 - 68 + s + 3*s in the form v*s + j and give v. 2 Express -143*t - 1 - 15 + 16 as i*t + q and give i. -143 Express 39*w + 8*w + 33*w + (3 - 2 + 1)*(-4*w + 5*w + w) as k*w + q and give k. 84 Rearrange 69*o**2 + 2*o**3 - o + 948 - 1880 - 3*o**4 + 932 to h*o**3 + y*o + j*o**2 + l*o**4 + c and give h. 2 Express -8*p**4 + 2*p**3 + 504*p - 504*p - 3*p**3 + 2 in the form u + r*p**4 + f*p + c*p**2 + x*p**3 and give u. 2 Express (-87*n**3 + 87*n**3 - 26*n**4)*(-3 + 0 + 5) - 2 + n**4 + 2 + (-n + 0*n - n)*(-4*n**3 + n**3 + n**3) as i*n + j*n**3 + r + z*n**2 + h*n**4 and give h. -47 Express -155*t**4 - 382*t**4 + 199*t**4 + (-6*t**2 + 3*t**2 + 4*t**2)*(-t**2 + 1 - 1) in the form m*t**3 + z*t**2 + k*t + s*t**4 + l and give s. -339 Express (-3 + 1 + 0)*(-234 + 444 - 2*r**2 - 230) in the form g + f*r + n*r**2 and give g. 40 Express -91 - 1023*v + 91 in the form u + w*v and give w. -1023 Express (-3*n - 77 + 81 + 11*n)*(-2*n**2 - n**2 + n**2) in the form a*n + y + x*n**2 + g*n**3 and give g. -16 Express 2 + 6*d + 20*d**2 + 10*d - 5*d + d**3 - 12*d as y*d**3 + j + r*d + b*d**2 and give y. 1 Rearrange -376*f + 193*f - 226*f to the form g*f + b and give g. -409 Rearrange (5 - 2 + 0)*(-73*l + 28*l - 60*l - 37*l) to the form m*l + v and give m. -426 Rearrange (1 - 4 - 4)*(2*x**2 - 2*x**2 + 3*x**3) + 22*x**3 - 101*x**3 + 42*x**3 to g + p*x**2 + r*x + n*x**3 and give n. -58 Express (2 - 2 + 2*o)*(-2*o + 139*o**2 - 1 + 0 + 1116932*o**3 - 1116930*o**3) as b*o**4 + x*o**2 + q*o + s*o**3 + v and give s. 278 Express (c**2 - 3*c**2 + 3*c**2)*(2 - 3 + 2) + 6*c + 19*c**2 - 15*c**2 - c in the form o*c**2 + d*c + y and give o. 5 Express -4 + 12*a**2 + 4 + (3*a**2 + 4*a**2 - 6*a**2)*(-3 + 1 + 12) in the form s*a**2 + y + i*a and give y. 0 Express (-2*z**3 + 0*z**3 + 0*z**3)*(3330 + 3457 - 7097) as c*z**2 + y*z**3 + j*z + k and give y. 620 Express (-3*y**3 + 2*y**3 + 3*y**3)*(2 + 5 - 5) - 48*y**3 - 12*y + 12*y as z + o*y**2 + a*y + q*y**3 and give o. 0 Rearrange (-2*d**2 + 2*d**2 - 2*d**2)*((6 - 5 + 6)*(d + 0*d - 3*d) + d - 3 + 3 - 5 + 5*d + 5) to t*d**2 + m + q*d + x*d**3 and give x. 16 Rearrange -10*x**2 + 0*x - 9 - 2*x + 9*x**2 + 0 to the form i + p*x**2 + m*x and give i. -9 Rearrange (-1 + 0 - 6)*(-2*u**3 + 17*u**3 + 8*u**3) to the form n*u**3 + w*u**2 + q*u + d and give n. -161 Express -38*v**2 + 21*v + 20*v**2 - 2 + 23*v**2 as y + o*v**2 + w*v and give y. -2 Express 1 + 3 - r**2 - r**4 + 272*r - 2*r**3 - 272*r as h + v*r**4 + x*r**2 + g*r + z*r**3 and give h. 4 Rearrange 8*w**3 + 38*w**2 + 7*w**3 - 12*w**3 - w - 2*w**3 to i*w**3 + t + o*w + r*w**2 and give o. -1 Express -b**4 + 440*b**2 + 38 - 36 + 8*b - 438*b**2 + 18*b + b**3 in the form y*b + z*b**4 + l + v*b**3 + a*b**2 and give v. 1 Rearrange -9*g + 17*g - 1 - 18 - 4*g to the form a + u*g and give a. -19 Express -108469*i**2 + 2*i + 108469*i**2 - 19*i**3 as a*i + b*i**2 + l + q*i**3 and give l. 0 Rearrange -25 + 82 - 32 - 25 - 978*d to the form v*d + x and give v. -978 Express (t - t - t)*(717 - 717 - 102*t) as u + z*t + n*t**2 and give u. 0 Rearrange (-143*l**3 + 64*l**3 - 94*l**3)*(2 - 3*l - 2 + (-4*l + 0*l + 3*l)*(0 + 3 - 5)) to the form s*l**2 + x*l + t + o*l**3 + z*l**4 and give z. 173 Express (0*k + 2*k - 4*k + (3*k + 4 - 4)*(-2 + 1 - 1))*(8 - 2 + 2)*(-4*k + 3*k + 2*k) as v*k + g*k**2 + d and give g. -64 Rearrange -29*i**3 + 4 + 19*i**2 - 16*i**2 - 1 + 0 - 2*i + 45*i**3 to the form z*i + l + a*i**3 + j*i**2 and give j. 3 Express 3*a**3 + 16 - a**3 - 17 - 4*a**4 + 108*a**4 as h*a**3 + i + t*a**4 + r*a**2 + b*a and give i. -1 Rearrange -1670 + 262*g - 499*g + 238*g + (2*g - 3*g + 0*g)*(1 + 5 - 4) to the form r + y*g and give y. -1 Rearrange -4*y - 3*y - 7*y + 5*y**2 + 12*y + 2*y**3 to the form c*y**3 + u*y + v*y**2 + j and give c. 2 Express 2*v**4 + 657 - 311 - 344 - v**2 - 3*v + 2*v**3 in the form g*v + r + n*v**2 + f*v**4 + h*v**3 and give f. 2 Rearrange (1 - 1 - 2)*(d - d + d**2) - d**2 + 3*d**2 - d**2 + (d - 4 + 4)*(-13*d - 145*d + 24*d) - d**2 - d + d to n*d + m*d**2 + v and give m. -136 Rearrange (522*r + 56*r + 140*r)*(0*r**2 - 4*r**2 + 3*r**2 + r - 1) to the form c*r**2 + f*r + a + z*r**3 and give c. 718 Rearrange (x**2 + 2009 - 326*x - 2009)*(-x - 3*x + 5*x)*(0*x + 0*x - 2*x) to the form m*x**4 + t*x + v*x**3 + h + o*x**2 and give v. 652 Rearrange (1 + 10 - 2)*((2 + 2 - 5)*(2 - 2 + 2*v) + 0*v + v - 5*v) to the form g*v + k and give g. -54 Express (14*q**3 + 10330 - 10330)*(0*q + 3 - 2*q - 2) in the form t + d*q + z*q**2 + p*q**4 + a*q**3 and give p. -28 Rearrange (-7 - 4 - 2)*(-z**2 - z + z) + (-2*z**2 + 6*z**2 - 3*z**2)*(3 - 3 + 2) to the form a*z**2 + h*z + j and give a. 15 Rearrange (-26*c + 519*c + 1 + 535*c + 638*c)*(c - c + 2*c**2) to i*c**2 + j + q*c**3 + z*c and give q. 3332 Express t - 2*t + 2*t + (-2*t - 3 + 3)*(1 - 3 + 3) - 17*t + 0*t - 9*t + (0 + 0 - t)*(3 - 2 + 0) + 1 - t - 1 + 2*t + t + 2*t as j*t + g and give j. -24 Express (67*p**3 + 1654*p**2 - 1654*p**2)*(-3 + 4*p + 1 - 2*p) as q*p**2 + v*p**4 + b*p + f + n*p**3 and give v. 134 Express 8*p**2 + 235*p**2 - 29*p + 29*p as l + c*p + h*p**2 and give h. 243 Rearrange 8*p + 276*p**3 - 14*p - 2*p**2 - 266*p**3 to n*p + o*p**3 + t*p**2 + g and give t. -2 Rearrange (-3 - 2 + 6)*(3*p - 3*p + 9*p) - 2 + 0 - 2*p + 4 to w + u*p and give w. 2 Rearrange (3*k**3 - 2*k**3 + 2*k**3)*(-6*k + 16 + 11*k - 3*k)*(1 + 0 + 1) to i*k + h*k**4 + t + a*k**2 + s*k**3 and give h. 12 Express -2*s**3 + 34*s + 18*s + 27*s + s**3 as j*s**2 + v + y*s + o*s**3 and give j. 0 Rearrange (3*j**2 - 3*j**2 + 2*j**2)*(-9104 - 5*j - 9107 + 18204) to the form m*j**3 + z + t*j**2 + f*j and give t. -14 Express 23*b - 7*b**2 + 22*b**3 - 4*b + 0*b - 21*b**3 as u*b**2 + i*b**3 + r*b + p and give i. 1 Express (28 + 5 + 44)*(2*i - 5*i + 0*i) in the form z + b*i and give b. -231 Express -25 - 14 - 499*u + 39 - 192*u as j*u + d and give d. 0 Rearrange 5*d**2 + 8*d - 8*d + (-4 - 2*d + 4)*(-d - 2*d + 2*d) + 2*d**2 + 3*d**2 + 7*d**2 + (5*d - 3*d - 3*d)*(4 + 2*d - 4) to n*d + l + k*d**2 and give k. 17 Express 24*u**2 - 3*u + 8*u - 8*u + 13*u**2 - 8*u**2 in the form g + n*u + s*u**2 and give s. 29 Express 10*g - 4*g**2 + 10 - 11*g + 2*g**2 + g as t*g**2 + n + p*g and give n. 10 Rearrange -644 + 644 - 39*j - 48*j to v*j + m and give v. -87 Express (-3 + 5 + 1)*(l + 0 - 9*l + 1)*(-118 + 284 - 108) in the form i*l + k and give i. -1392 Rearrange (1 + 1 + 1)*(-369 + 369 + 166*w)*(-2*w + 0 + 0) to the form g + k*w**2 + l*w and give k. -996 Rearrange (-11*l + 5 - 5 - 5*l + 3*l + 3*l - 3*l + 3*l + 5*l + (2*l - 2*l + 2*l)*(-1 - 1 + 0))*(-1 + 3 + 0) to the form q + w*l and give q. 0 Rearrange (2 + 4 - 3)*(2*k - 2 + 2) - 8*k - 23*k + 5*k + 5*k to the form w + z*k and give z. -15 Rearrange -20*l - 16*l - 5*l**2 + 4*l + 4*l**2 - 16*l to the form f*l**2 + i + z*l and give f. -1 Rearrange (-53*w - 57*w - 17*w - 14*w - 28*w)*(-5 - 6*w + 5) to f*w + u + q*w**2 and give q. 1014 Express (185 - 424 + 205)*(5 - j - 39 + 17) in the form y*j + u and give u. 578 Express 9*r - 19*r**2 - r + 0*r + 0 + r + 1 in the form f*r + a + p*r**2 and give a. 1 Express (-3*n + n + 4*n)*((-3 + 0 + 5)*(-n - n - 10*n) + 2*n - 6*n + 3*n + 0*n - 4*n - 2*n) in the form l*n**2 + i*n + c and give c. 0 Rearrange (-2*a + 2*a - 5*a**3)*(-3*a + 6*a - 2*a) - 114*a**4 - 2272 + 2272 to the form g*a**4 + q*a**2 + y + l*a + o*a**3 and give g. -119
How many kilometers are there in 0.4444392m? 0.0004444392 Convert 73.38868l to millilitres. 73388.68 How many millilitres are there in 3/10 of a litre? 300 What is 0.6747954ug in grams? 0.0000006747954 What is 0.3967116km in nanometers? 396711600000 What is 798.8939 centimeters in nanometers? 7988939000 Convert 9.11844 months to centuries. 0.0075987 Convert 16115.63 years to months. 193387.56 How many kilometers are there in 8.286101cm? 0.00008286101 What is 32015.8 years in millennia? 32.0158 How many nanometers are there in 1/10 of a micrometer? 100 How many micrometers are there in one fifth of a millimeter? 200 What is 609671.7ns in seconds? 0.0006096717 How many days are there in 2184.5673 hours? 91.0236375 How many millilitres are there in seventy-four fifths of a litre? 14800 How many millilitres are there in 76716.34 litres? 76716340 Convert 950.1025ml to litres. 0.9501025 What is sixty-two thirds of a week in hours? 3472 What is seven halves of a century in months? 4200 What is 48/5 of a milligram in micrograms? 9600 How many decades are there in 6/5 of a millennium? 120 How many hours are there in 29/3 of a day? 232 What is 294.048m in millimeters? 294048 How many millennia are there in 0.588645 decades? 0.00588645 How many millilitres are there in 0.165841l? 165.841 How many micrometers are there in 3/25 of a centimeter? 1200 How many kilometers are there in 78.69768 micrometers? 0.00000007869768 What is 38.45747ml in litres? 0.03845747 How many nanometers are there in 878.4413um? 878441.3 How many decades are there in 53.83316 centuries? 538.3316 What is six fifths of a litre in millilitres? 1200 What is one twentieth of a meter in centimeters? 5 What is three eighths of a litre in millilitres? 375 How many seconds are there in fifty-three fifths of a minute? 636 How many years are there in 12.487908 months? 1.040659 How many millilitres are there in seven quarters of a litre? 1750 What is 49/4 of a millennium in years? 12250 Convert 461.0033 litres to millilitres. 461003.3 What is 455434.8 nanometers in micrometers? 455.4348 What is 41212.41 meters in nanometers? 41212410000000 How many millilitres are there in six fifths of a litre? 1200 What is 21/5 of a litre in millilitres? 4200 What is 59.45026 millilitres in litres? 0.05945026 What is three fifths of a litre in millilitres? 600 What is seventeen quarters of a century in years? 425 What is 5/4 of a century in years? 125 How many kilograms are there in 7509.867ug? 0.000007509867 What is twenty-one quarters of a centimeter in micrometers? 52500 How many milliseconds are there in 67.47682 weeks? 40809980736 How many tonnes are there in 948.6133 kilograms? 0.9486133 Convert 196.10019us to hours. 0.000000054472275 How many micrometers are there in 244.9646cm? 2449646 How many nanograms are there in 3/5 of a microgram? 600 How many millilitres are there in 7.548024l? 7548.024 How many kilograms are there in 784.6512 nanograms? 0.0000000007846512 Convert 0.2281824us to days. 0.000000000002641 What is eleven tenths of a litre in millilitres? 1100 What is 13/4 of a milligram in micrograms? 3250 How many centuries are there in 9247.221 millennia? 92472.21 What is five eighths of a meter in millimeters? 625 Convert 0.757818nm to millimeters. 0.000000757818 What is 5078.727km in nanometers? 5078727000000000 Convert 8.09865 kilometers to micrometers. 8098650000 How many hours are there in 2/21 of a week? 16 What is 1/5 of a millennium in years? 200 How many nanograms are there in 508191.9 micrograms? 508191900 What is 29/2 of a millennium in centuries? 145 What is 6/5 of a microgram in nanograms? 1200 What is seventeen quarters of a milligram in micrograms? 4250 What is 1/10 of a microgram in nanograms? 100 What is 7/4 of a gram in milligrams? 1750 How many litres are there in 3256.961ml? 3.256961 How many millilitres are there in 3/50 of a litre? 60 How many centimeters are there in three fifths of a meter? 60 How many millilitres are there in 19/4 of a litre? 4750 Convert 9646.137 months to years. 803.84475 What is 591628.3mm in meters? 591.6283 Convert 216.2127 centuries to millennia. 21.62127 How many hours are there in 64/3 of a day? 512 How many meters are there in 15/4 of a kilometer? 3750 How many decades are there in twenty-six fifths of a millennium? 520 How many meters are there in 923961.2nm? 0.0009239612 Convert 0.0620894nm to micrometers. 0.0000620894 What is 97300.16 millimeters in micrometers? 97300160 How many centuries are there in 489.4161 decades? 48.94161 How many minutes are there in seven thirds of a hour? 140 What is 0.6563828mm in meters? 0.0006563828 What is eleven halves of a day in minutes? 7920 How many millilitres are there in seventeen quarters of a litre? 4250 Convert 55509.21 years to millennia. 55.50921 What is twenty-seven halves of a litre in millilitres? 13500 What is 5.007819nm in micrometers? 0.005007819 How many millimeters are there in twenty-nine fifths of a centimeter? 58 What is 3/40 of a litre in millilitres? 75 How many centuries are there in 24827.277 months? 20.6893975 What is fourty-one halves of a week in hours? 3444 Convert 356940.7 nanometers to centimeters. 0.03569407 What is twenty-one fifths of a litre in millilitres? 4200 What is thirty-three fifths of a decade in months? 792 How many meters are there in 70.87778 micrometers? 0.00007087778 How many litres are there in 181.2155 millilitres? 0.1812155 What is 8465.23um in meters? 0.00846523 What is 429.502ml in litres? 0.429502 How many micrograms are there in 1/10 of a milligram? 100 What is 2555.63748s in days? 0.0295791375 How many years are there in fifty-nine fifths of a millennium? 11800 What is nine tenths of a kilometer in centimeters? 90000 How many centuries are there in 6.479256 years? 0.06479256 What is seven halves of a litre in millilitres? 3500 What is 3/40 of a litre in millilitres? 75 What is 3088.141m in centimeters? 308814.1 Convert 5.385717 centuries to months. 6462.8604 What is 0.488682 months in centuries? 0.000407235 How many nanograms are there in 1/4 of a microgram? 250 How many millilitres are there in 33.07037l? 33070.37 How many milligrams are there in 27/4 of a gram? 6750 Convert 6.905284 microseconds to seconds. 0.000006905284 Convert 922.7319ml to litres. 0.9227319 What is 7/4 of a gram in milligrams? 1750 What is 21/2 of a decade in years? 105 What is 49/5 of a litre in millilitres? 9800 What is fifty-five thirds of a century in months? 22000 Convert 0.634606 decades to years. 6.34606 Convert 143112.9 milligrams to kilograms. 0.1431129 Convert 591.5318 kilograms to grams. 591531.8 How many millimeters are there in 465.5717cm? 4655.717 What is 3/32 of a gram in micrograms? 93750 How many years are there in one quarter of a century? 25 How many years are there in 5509.64 millennia? 5509640 How many nanometers are there in 21/2 of a micrometer? 10500 Convert 4558.855ms to microseconds. 4558855 What is seventeen sixths of a week in minutes? 28560 What is 12/7 of a week in minutes? 17280 Convert 150.4701mm to nanometers. 150470100 How many seconds are there in sixty-seven fifths of a hour? 48240 What is 13/5 of a kilometer in meters? 2600 Convert 8740.371 weeks to hours. 1468382.328 How many millilitres are there in 83.48107 litres? 83481.07 What is 1.200703mm in nanometers? 1200703 How many minutes are there in 2/21 of a week? 960 What is fourty-five eighths of a litre in millilitres? 5625 What is 28.47076 millilitres in litres? 0.02847076 Convert 75707.3 millennia to months. 908487600 What is 1/15 of a millennium in months? 800 What is eighteen fifths of a litre in millilitres? 3600 What is 1/10 of a microgram in nanograms? 100 How many micrometers are there in three eighths of a millimeter? 375 How many millilitres are there in twenty-six fifths of a litre? 5200 How many millilitres are there in 11/8 of a litre? 1375 What is 285490.8 millilitres in litres? 285.4908 How many millilitres are there in 7/2 of a litre? 3500 How many nanograms are there in 13/4 of a microgram? 3250 How many millilitres are there in 47/4 of a litre? 11750 How many millilitres are there in 30.37025 litres? 30370.25 Convert 596.387 millilitres to litres. 0.596387 What is three fifths of a century in decades? 6 What is 4/15 of a day in minutes? 384 What is 3/8 of a litre in millilitres? 375 What is fifty-eight thirds of a day in hours? 464 Convert 0.0301836mg to grams. 0.0000301836 What is one sixth of a year in months? 2 How many months are there in 16/15 of a decade? 128 How many micrometers are there in 1/10 of a meter? 100000
Rearrange (-30*l - 838*l - 705*l + 306*l)*(3 + 2 - 3) to o + m*l and give m. -2534 Rearrange -2*w + 5*w**2 + 46 - 4*w**2 + 34 + 72 + 103 to o*w + z*w**2 + k and give o. -2 Rearrange (-u + u - u)*(-u**3 - u**3 + 4*u**3) - 111268*u**2 + 111268*u**2 + 357*u**4 to c*u**3 + p*u + g*u**4 + s + k*u**2 and give g. 355 Express -1 - 104*g - 143*g - 1 + 4 + 10*g in the form z*g + v and give z. -237 Express (-175*l + 88*l + 88*l)*(0 - 3 - 2)*(3*l + 0*l - l) as n + j*l**2 + i*l and give j. -10 Rearrange 23*r**2 + 2414*r**3 - 2413*r**3 - 180*r**2 to the form s*r**3 + t*r + a + q*r**2 and give s. 1 Express 179*u**2 + 422*u**2 - 150*u**2 + 3 in the form m*u + k + o*u**2 and give o. 451 Express 1772*y**2 - 2*y**3 - 2*y - 3542*y**2 + 1761*y**2 + y as n*y**3 + w + a*y + q*y**2 and give q. -9 Express 1 - 113*n**2 - 98*n**2 - 10*n**2 - 63*n**2 + 65*n**2 - n in the form g*n**2 + c + r*n and give r. -1 Express 3*b + 7 - 3 - 9*b + 0*b in the form c*b + x and give x. 4 Rearrange (32823 - 32823 - 1132*z)*(z**2 - 2 + 2) to the form k + v*z + n*z**2 + y*z**3 and give y. -1132 Rearrange 0 + 1 + 9*y + 650*y**2 + 3*y**3 - 32*y**4 - 650*y**2 to u + p*y + f*y**3 + s*y**4 + c*y**2 and give s. -32 Express -6*d**4 - 5*d + 5*d + (0 + 0 + d**3)*(-2 + 2 - 2*d) + 9*d**4 - 11 - 3 - 10*d**4 in the form b*d**2 + j + r*d**3 + w*d + v*d**4 and give v. -9 Express (-2*t**2 + t**2 - 7*t**2)*(28 - 11 + 28) in the form k*t + i + z*t**2 and give z. -360 Rearrange 10*y**4 - 3 - y + 2 - 3*y**4 - 3 - 3*y to c*y + a + s*y**2 + j*y**3 + x*y**4 and give x. 7 Express (3 - 5 - 1)*(10 - 3 + 2)*(2*y + 2*y - 3*y)*(5*y - 2*y**2 + 0*y - 4*y) as f*y**3 + p*y + m + d*y**2 and give d. -27 Express -t**3 - 19 - 7*t**2 + t**2 + 6*t**2 + 2*t - 8 as k + b*t**2 + w*t**3 + a*t and give w. -1 Express ((-j + j + j)*(3 - 5 - 3) + 4*j - j - 2*j)*(-26 - 20 - 26) in the form u*j + b and give u. 288 Rearrange 2*y**2 - 3*y**4 + 0*y**2 - 1 + 727*y - 720*y to the form l + s*y**3 + p*y + b*y**2 + g*y**4 and give l. -1 Express (-c**2 + 18*c**2 - 8*c**2)*(-7*c - 21*c + 8*c) as k + z*c**3 + h*c + o*c**2 and give z. -180 Rearrange (2 + 3 - 1)*(-1 - 1 + 1)*(0*g + g - 2*g - g + g + g + (4 - 4 + 2*g)*(0 + 3 - 1) - g + 6*g - 3*g - g - 4*g + 19*g) to the form v + d*g and give d. -80 Rearrange (-24 + 53 - 5*b - 26)*(26*b**2 + 27*b**2 - 8*b**2) - 4*b**3 + 5*b**3 - 2*b**3 to q*b**3 + i + m*b + u*b**2 and give u. 135 Express 29*b**4 + 4*b**2 - b**3 + 2 - 4*b**2 - 31*b**4 + 5*b**2 in the form z*b**2 + u*b + v + d*b**4 + y*b**3 and give d. -2 Express (-4*i**2 + 2*i**2 + 0*i**2)*(-6*i + 166 - 45 + 33 + 58) in the form p*i**2 + d + f*i**3 + q*i and give f. 12 Express (4*h**2 + 36*h**3 - 4*h**2)*(2 - 2 + 2*h)*(-84 - 53 + 52) as y*h + o*h**4 + v*h**3 + g*h**2 + x and give o. -6120 Express 5 - 28 + 11 + 12 + 404*o**2 in the form r + u*o + b*o**2 and give r. 0 Rearrange 264*g**3 + 63876*g**2 - 63876*g**2 + (-5*g + 0*g + 4*g)*(-g**2 + 5*g**2 - 2*g**2) to n*g**3 + h*g + k + v*g**2 and give n. 262 Express (-3 + 3 - i)*(-5*i + 3 - 3) - 6*i - 41*i**2 + 44*i**2 + 2*i as j*i**2 + v + w*i and give j. 8 Express -54 + 9 + 3*c**2 - 8 - 40 - 5*c**2 in the form t + d*c + s*c**2 and give s. -2 Express 4*x + 0*x + 88*x**4 - 2*x**2 - 77*x**4 + x**3 in the form v*x**4 + f + c*x**3 + l*x**2 + k*x and give c. 1 Rearrange -4639*j + 4641*j + 2*j**2 - 10 + 2 to the form a*j + q + s*j**2 and give a. 2 Express -i + 42*i**2 - 52*i**2 + 2 + 3 - 2 - 4 as b*i**2 + f*i + y and give f. -1 Rearrange z + 0 + 0 - 3*z - z + 2*z + (-3 - 1 + 5)*(-3*z - 3*z + 5*z) + 3*z - 5*z + 0*z + (32*z - 51*z + 38*z)*(9 - 2 + 3) to the form p*z + l and give p. 186 Express 2*q**4 + 2*q + 11 + 92*q**2 - 192*q**2 + 96*q**2 as d*q + c*q**2 + g*q**3 + j + a*q**4 and give d. 2 Express 84 + 273*x**3 - 260*x**3 - 83 + x as m*x + w*x**2 + b + r*x**3 and give r. 13 Rearrange -9 - 2*i**4 - i - 2*i**3 + i**4 - 16*i**2 + 16*i**2 to the form o*i + a*i**4 + u + h*i**2 + m*i**3 and give h. 0 Rearrange 5*g**3 + 3*g**2 - 2*g**3 + 69 - g**2 + 5*g**4 - 144 + 74 to a*g**4 + w*g**3 + h + m*g**2 + s*g and give m. 2 Rearrange 36*j**2 + 32*j**2 - 29*j**3 - 68*j**2 - j - 42*j**3 to n*j**2 + o*j**3 + y + c*j and give o. -71 Express -1 + 5 - 10 - 104*m - 52*m + 3 in the form t + l*m and give t. -3 Rearrange 17 - 31 + 43*j**2 + 2*j + 15 to b*j**2 + m*j + x and give m. 2 Express (-1 - 3 + 1 + (-3 + 5 - 4)*(-1 + 1 + 1))*(-10*i + 7*i - 1 + 3) as j*i + s and give j. 15 Express -6*o**2 - o + 14 + 7*o - 3*o + 4*o**2 - 2*o in the form p*o + k + i*o**2 and give k. 14 Rearrange (440 - 440 + 5*j**2)*(23 - 5 + 0 + 19 + 15) to q*j + m + n*j**2 and give n. 260 Express -1102*j**3 - 5 + 4 + 1031*j**3 as o*j + p*j**3 + z + l*j**2 and give p. -71 Rearrange -178*z + 393*z**3 - 391*z**3 - 194*z to the form g*z + j*z**3 + s*z**2 + w and give j. 2 Rearrange -3 + 1 + 92*v + 0 + 2 to the form x + u*v and give u. 92 Express (4*a**2 - a**2 - 5*a**2)*(-a - a + 4*a)*(-7 - 13 + 19) in the form d*a**3 + z + n*a + l*a**2 and give d. 4 Express -37*t**3 + 14 - 17 + 35*t**3 + 0*t - 3*t - 2*t - t**4 as n*t + k*t**3 + b + j*t**4 + d*t**2 and give j. -1 Rearrange (-2 - 2 + 6)*(2 + 1 - 4)*(-2*z - 2*z + 2*z)*(10 + 11 + 22) to the form p*z + d and give p. 172 Rearrange -10*f**2 - 57 + 19 + 21 to x*f**2 + r*f + z and give x. -10 Express -9*h**4 + 0*h**2 - 2 + 6 + h**2 + h**4 as j*h**3 + t*h**4 + p*h**2 + v*h + q and give q. 4 Express 81*y + 39*y - 14*y + 63*y - 2 as u + a*y and give u. -2 Express 386 + 2*q - 386 + 928*q as d + u*q and give u. 930 Express ((0 - z + 0)*(2 + 0 - 1) + 4*z - 12*z + 7*z)*(-3*z**3 + 3*z**3 - 2*z**3) as a*z**4 + b*z + c*z**2 + m*z**3 + h and give a. 4 Express 4*f - 31*f - 17*f - 2*f in the form x*f + n and give x. -46 Rearrange (8*d - 4*d + 2 + 0*d)*(3*d - 12*d + 6*d)*(3*d**2 - 3*d**2 + d**2) to the form p*d**4 + m + u*d**2 + r*d**3 + z*d and give p. -12 Rearrange (1 + 5 + 1)*((-2*w + 2*w + w)*(-1 + 1 + 2*w) + 3*w**2 - 5*w**2 - 3*w**2 + w**2 - 2 + 2) to g*w**2 + z + p*w and give g. -14 Express (-6*m + 8 + 8 - 19)*(-62*m**3 - 96*m**3 + 19*m**3) in the form s + q*m**2 + g*m**3 + r*m + p*m**4 and give p. 834 Express (-6 + 5 + 0)*(1 + 2 - 8)*(-3 + 0 - 4)*(-3 + 1 + 0)*(-6*a**3 - a**3 - a**3) as o*a**2 + f*a + c + l*a**3 and give l. -560 Rearrange (16 - 6 + 8)*(-2*r**3 + 2*r**3 + r**3)*(5*r - 6*r - r + 3) to the form j*r + f + u*r**3 + l*r**2 + w*r**4 and give u. 54 Rearrange -14496*y**4 - y**2 + 0*y**3 + 2*y**3 + 9*y + 14494*y**4 to b*y**2 + p*y**3 + n*y**4 + z*y + q and give p. 2 Express -6*c**3 + 12*c**2 + 8*c + 9*c**2 - c**3 - 23*c**2 in the form n*c**3 + x*c**2 + w*c + s and give w. 8 Rearrange (4*w**3 + 0*w**3 + 0*w**3)*(4 + 7 + 1 + (-5 + 3 + 4)*(2 - 5 + 1)) to l + t*w**3 + a*w + o*w**2 and give t. 32 Express (3 - 3 - 3*y)*(-3*y + 4*y + 0*y)*(67 + 4 + 26) as t + p*y**2 + m*y and give p. -291 Rearrange 2 + 8*g**3 + 4*g**2 - 24*g**3 + 7*g**3 - 5*g**3 to f + y*g + v*g**2 + i*g**3 and give i. -14 Express (-19*v + 243*v + 206*v)*(-2*v - 4 + 4) + 3 - 2*v**2 - 3 + (-2*v - 2*v + 2*v)*(1 - 1 + 2*v) in the form f + l*v + o*v**2 and give o. -866 Rearrange -605*f + 273*f + 236*f to h + g*f and give g. -96 Express 33 - 18 + 87*c**2 + 0*c**3 - 2*c**4 - 85*c**2 - 2*c**3 in the form t*c**2 + h + i*c**4 + d*c + g*c**3 and give t. 2 Rearrange (-13*i - 28 - 32 + 62)*(3 - 6 + 2)*(-4*i + 2*i + 0*i) to the form y + l*i + q*i**2 and give l. 4 Express -15 - 17 + 65 - 17 - 15 - 564*g**2 as w + v*g**2 + r*g and give v. -564 Rearrange 55*i**3 - 12 - 3*i**4 - 105*i**3 - 2*i + 51*i**3 to z*i**3 + x*i + m*i**2 + b + g*i**4 and give z. 1 Rearrange -4*k**3 - 355*k**2 + 2 + 2 + 5*k + 3*k**4 + 354*k**2 to the form v*k**3 + c*k**2 + a*k + j*k**4 + d and give a. 5 Express (4*o + 32 - 32)*(-2 + 2 + 3) + (44*o - 13*o + 16*o)*(2 + 1 - 2) - 1 - o + 1 in the form i*o + j and give i. 58 Rearrange -13 - 33 + 272 + n + 112 to f + q*n and give f. 338 Express 4 + 2 - 8*m**2 - 19*m**2 - 15*m**2 + 33*m**2 as x*m**2 + d*m + t and give t. 6 Express 3*n**4 + 48 + 5*n**3 - 38*n**3 - 2*n**2 - 47 as c + b*n**3 + s*n**4 + h*n + v*n**2 and give v. -2 Express 2 + 317*n + 3 + 1 - 6 as k*n + m and give k. 317 Rearrange (-96*x**3 + 96*x**3 + 66*x**4)*(9 - 3 + 2) to the form g*x + q*x**4 + v + y*x**3 + r*x**2 and give v. 0 Rearrange (-38 - 8*k + 38)*(0 + 1 - 3)*(23 + 3 - 10) to v + q*k and give q. 256 Rearrange -87*w**2 + 9*w**3 - 1 + 47*w**2 + 44*w**2 to the form p*w**2 + b + o*w + k*w**3 and give k. 9 Express (4*u**2 - 43305 + 5*u + 43303 + 7*u**2)*(0 + 0 + 2*u)*(1 - 1 + 3) in the form p*u + d*u**3 + m*u**2 + v and give m. 30
Simplify (u**(-8)*u/(u*u/u**(1/7)*u)*(u**0*u)**(-19))**23 assuming u is positive. u**(-4646/7) Simplify (a*a**12/a)/(a/(a/((a*((a*a**(-5)*a)/a)/a)/a*a)*a))*(a*a**(1/3)/a)/(a*a**(-14)*a*a) assuming a is positive. a**(85/3) Simplify (y/((y*y**(-2/3)*y)/y))**(-9)/(y**(-8))**(-2/79) assuming y is positive. y**(-490/79) Simplify (v**(-4))**(1/16)*(v**(-2/21))**(-7) assuming v is positive. v**(5/12) Simplify (r/(r/r**(4/27)*r)*r**8)**34 assuming r is positive. r**(6562/27) Simplify ((((g*g**(-1/6)/g)/g)**2)**(1/15))**(3/2) assuming g is positive. g**(-7/30) Simplify (d/d**(-3/5))/((d*d*d*d/(d**17/d)*d*d)/d)*((d*d*d/d**10*d*d)/d)**(-32) assuming d is positive. d**(1023/5) Simplify (t*t/(t*t/((t*t*t/((t/(t**(-2/5)*t))/t))/t)))**(-50)/(t*t**(-4/3)*t*t/t**1*t) assuming t is positive. t**(-395/3) Simplify (z**(-2/13))**(-42)*(z*(z*z**17)/z)/z**13 assuming z is positive. z**(149/13) Simplify ((o*o**(1/7))/o)**(-19)/(((o/(o*o*o*o/(o**(-1)/o)))/o)/((o/(o**(5/2)/o))/o)) assuming o is positive. o**(25/14) Simplify ((f/f**(-2/3))/f**(-13))/(f**4)**(2/5) assuming f is positive. f**(196/15) Simplify (w**15/(w*w**(-5)))/(w/(w/(w**(-13)*w))*w**(1/33)) assuming w is positive. w**(1022/33) Simplify (i**(-12)*i)**(-30/7)/(i**1)**21 assuming i is positive. i**(183/7) Simplify (j*j*j**(-7)*j*j**1*j)/((j*j**(-11/5))/(j*j*(j*j**(-3))/j)) assuming j is positive. j**(-9/5) Simplify ((w**(-1/11)/(w/(w*w*w*w/((w**(2/19)*w)/w*w))))**(3/8))**(-26) assuming w is positive. w**(-14703/836) Simplify ((l**(1/69)*l)/(l/(l*(l/(l*l/((l*((l/(l/(l*l/((l*l**(-5))/l*l)))*l)/l*l*l)/l)/l)))/l)))**(-18) assuming l is positive. l**(-2490/23) Simplify (d**(-10)*d**(-1/27))/(d**(-27)/d**(-3/2)) assuming d is positive. d**(835/54) Simplify (i/(i*i/(((((i*i/(i*i**(-5))*i)/i)/i)/i)/i*i*i))*i)**(-2)/(i**(-1/4))**32 assuming i is positive. i**(-2) Simplify ((h/((h/h**20)/h))/h**(-32))/(h/(h/h**(-1/8)))**(-2/19) assuming h is positive. h**(4027/76) Simplify (((k**(-1/6)/k)/(k/(k/(k/(k/(k*k**(1/5)/k))))))/(((k*k*k**(-2))/k)/k*k*k**(-2/9)))**46 assuming k is positive. k**(-299/45) Simplify ((v**(-1)/v**0)/(v*(v**(-2/5)*v*v)/v*v*v*v**(-1/4)))**(2/17) assuming v is positive. v**(-87/170) Simplify (w*w**(-2/7)*w)**18/((w/w**(-4)*w)/w)**(-4) assuming w is positive. w**(356/7) Simplify ((t*t*t*t**(-1/2)*t)**(-3/40)*(t*t*t**(-1/4))**(-6/5))**(-2/19) assuming t is positive. t**(189/760) Simplify (n/(n/n**3))**(-2/107)/((n/((((n**(1/9)/n)/n)/n)/n))/n*n**12) assuming n is positive. n**(-15355/963) Simplify (n**(-2/9)/n**(-6/11))**1 assuming n is positive. n**(32/99) Simplify (z/z**(1/27)*z**2)/(z**(2/43)*z*z*z**(2/13)) assuming z is positive. z**(11510/15093) Simplify ((t**(-1/20)*t)/(t/(t/(t/t**(-1/3)))))/(t**(-4)*t/t**(-3)*t) assuming t is positive. t**(-83/60) Simplify ((z*z/(z**(-2)/z)*z*z)/z)**(17/2)*(z**3*z*z*z)**(-7/4) assuming z is positive. z**(81/2) Simplify ((a**(-2))**(-2/59)*(a**(1/2))**(1/4))**(-27/5) assuming a is positive. a**(-2457/2360) Simplify ((o*o**(-15)*o**(-6)/o)**(-44))**(18/7) assuming o is positive. o**2376 Simplify (p/(p/((((p*p**(1/8)*p)/p)/p)/p)))**(-8/13)*p**9*p*p**(3/5)/p assuming p is positive. p**(659/65) Simplify ((f*f**0)**9/((f**1/f)/f**(-4)))**(7/5) assuming f is positive. f**7 Simplify (a*a*(a*a**(-2/39))/a*a)**(1/44)*a**(-7/4)/(a/(a**(3/2)/a)) assuming a is positive. a**(-1873/858) Simplify ((j/(j**2*j))/j)**(-22)/((j**(-11)/j)/(j/j**(-1))) assuming j is positive. j**80 Simplify ((z*(z*z**(1/4))/z)/z)**(-15/2)/(z**(13/5)/((z/z**(-14/13))/z)) assuming z is positive. z**(-1767/520) Simplify (j/j**5)**(1/16)*j/j**(19/2)*j*j**(-10) assuming j is positive. j**(-71/4) Simplify (((y*y**(-7))/y**(-8))/((y/y**(3/5))/y**(-11)))**(-5/13) assuming y is positive. y**(47/13) Simplify (j**(3/8)*j/(j/(j*j/(((j/(j/j**4)*j)/j)/j)*j))*j*((j**0/j)/j)/(j/(j**0/j)))**(-6/11) assuming j is positive. j**(63/44) Simplify (q**(-3)/q*q*q*q**(2/3)*q*q**7*q**(-1/3)/q*q)**37 assuming q is positive. q**(703/3) Simplify m**(5/3)/(m/(m/m**(-2/5)*m))*(m*m**(1/6)*m)**32 assuming m is positive. m**(362/5) Simplify (w/w**0)**(-2/3)*w*w*(w/w**(-16))/w*w/((w/(w**21*w*w))/w) assuming w is positive. w**(124/3) Simplify (w**(-1/11)/(w**13*w))/(w**14)**2 assuming w is positive. w**(-463/11) Simplify ((c**(5/6)*c**(5/2))**(-2))**(-10) assuming c is positive. c**(200/3) Simplify ((c*c**(1/58)/c)/(c/(c/c**(1/12))))**(-1/40) assuming c is positive. c**(23/13920) Simplify (a**5)**(3/29)*(a**2)**(-29) assuming a is positive. a**(-1667/29) Simplify (((i/(i**(-14/3)/i)*i)/i)/(i*i**(1/2)/i*i*i))/((i*i**(-24))/(i*(i/(i**(-6)/i))/i)) assuming i is positive. i**(211/6) Simplify u**(1/4)/(u/(u/(u*u/(u*u/(u*u/(((u/(u/(u*u**(1/20))*u))/u)/u))*u))))*u**27*u*u/u**(-10) assuming u is positive. u**(363/10) Simplify (((t**(-1/4)/t)/t*t)**(7/2)/(t*t**(-2)/t*t)**(-42))**(1/6) assuming t is positive. t**(-371/48) Simplify (c*c**(5/3)*c)**35*(c*c*(c*c**(7/3))/c*c)/c*c**(-8/7) assuming c is positive. c**(2762/21) Simplify ((b**(-4/3)*b**(-8/3)/b)**(-5))**1 assuming b is positive. b**25 Simplify ((k/(k/(k*k*k/(k*(k*k**(1/2))/k*k)*k*k))*k)/k)**14/((k**10/k)/k**(-7)) assuming k is positive. k**19 Simplify ((a**(-3/2)*a)/a**(-3/4))/((a*a**(-28)/a)/a**(-23)) assuming a is positive. a**(21/4) Simplify (x**(-17)*x*x/(x*x*x/((x*x**(8/3))/x*x)))/((x/(x*x/x**(-4/7)*x))/x)**(-3/8) assuming x is positive. x**(-2633/168) Simplify (b**(2/7))**20/(b*b**(-6/17)*((b/(b/((b*b**2/b)/b)*b*b*b))/b)/b) assuming b is positive. b**(1079/119) Simplify (q**(-1/17))**(5/2)/((q**(9/2)*q)/((q/(q**(-2/15)/q*q))/q)) assuming q is positive. q**(-1406/255) Simplify ((i/(i**(-21)/i)*i*i)/i*i**22)/(i**(-5/4)*i**(7/5)*i) assuming i is positive. i**(897/20) Simplify v**12/v**(-2/3)*(v/v**(1/4))/v*v/(v/(v/((v**(-6)/v)/v))*v)*v assuming v is positive. v**(257/12) Simplify u**(1/19)*u**(-2/7)*(u/u**(-7))/(u/((u*u*u/(u**(2/27)*u)*u*u)/u)*u*u) assuming u is positive. u**(27625/3591) Simplify (((((k**(4/9)/k)/k*k)/k)/k)**(-9))**23 assuming k is positive. k**529 Simplify ((j**(2/7)/j)/j*j*j*j**(-18/5))/(j**(-1/14)/j**0) assuming j is positive. j**(-227/70) Simplify ((m*m*m*m**(1/2)*m*m*m)/m*m*(m/(m**26/m)*m)/m)/((m/((m**10*m)/m))/(m/(m**(2/45)*m))) assuming m is positive. m**(-769/90) Simplify ((b/((b*b/((b/(b/(b*b/(b/(b/(b/b**(-3)))*b*b))*b*b))/b)*b)/b))/b**(8/3))/(b/(b**10*b)*b**(-1/13)/b*b) assuming b is positive. b**(-23/39) Simplify ((y*y**(-3))/(y*y*y**(-1/2)*y)*y/(y/(y*y**5))*y**3)**(-29) assuming y is positive. y**(-261/2) Simplify (i/(i/(i/(i*(i*i/(i*i/(i**(-3/2)/i)))/i*i))*i*i))**(2/51)/(i**(-11)*i*i**5*i) assuming i is positive. i**(205/51) Simplify a*a**(-2/7)*a*a**(9/7)*a**(-9/2)/(a*a**21) assuming a is positive. a**(-47/2) Simplify (a*a**(-2/13))**(-46)/(((a*a**(-10))/a)/(a/(a**(-20)*a*a*a))) assuming a is positive. a**(-142/13) Simplify (((l*l*l/(l**8*l*l)*l)/l)/(l*l/l**11)*(l/l**(-3))**(-29))**8 assuming l is positive. l**(-912) Simplify ((x**(-3/8)/((x*(x/((((x*x/((x/((x/(x**(-3)/x))/x))/x*x))/x)/x)/x))/x)/x*x))**0)**(-1/6) assuming x is positive. 1 Simplify (n**(-1/2)/n**12)/(n**(-1/3)/n)**(1/5) assuming n is positive. n**(-367/30) Simplify (n*n**6*n)/(n/(n/(n*n*n**(-11))))*(n/n**13)/(n*n/(n*n/n**(3/4))) assuming n is positive. n**(17/4) Simplify (m/(m/(m/m**(-20))))/m*m**17*m**(-15)/m*m**(-1/28) assuming m is positive. m**(587/28) Simplify (((z**13/z)**(-36))**(-38/7))**(-7/6) assuming z is positive. z**(-2736) Simplify (g**(-2/15))**50/(g*g**(2/17))**(2/5) assuming g is positive. g**(-1814/255) Simplify (q/q**11)**(-40)*(q**(10/3)/q*q)**(4/3) assuming q is positive. q**(3640/9) Simplify ((o*o**(3/4))**(-3/5)*o**10/(((o/(o*o**(4/13)))/o*o)/o))**33 assuming o is positive. o**(88011/260) Simplify (m**(4/9)*(m*(m*(m*m**3)/m)/m*m)/m)/(m/(m/(m/(m/(m/((m**(2/7)/m)/m*m)*m)))*m)*m*m**6) assuming m is positive. m**(-269/63) Simplify (v/(v*v**(-14/9)/v))/v**(-18)*(v/v**13)**(-13/2) assuming v is positive. v**(887/9) Simplify (m**(-22))**(-1/45)*(m*m/(m/(m/(m/m**(-1)))*m)*m)**(-6) assuming m is positive. m**(22/45) Simplify ((a**12*a)/(a/(a**(-2)/a)))/(a**21/(a*a*a**(-29))) assuming a is positive. a**(-39) Simplify ((w/(w**8*w)*w)**(-3/2))**(-31) assuming w is positive. w**(-651/2) Simplify (x**20*x**(5/13))/(x**11/x**(1/13)) assuming x is positive. x**(123/13) Simplify (b*b*b**(-6/11)*b*b/(b/(b*b*(b/(b*b*b**(-4/15)))/b*b)))/((b*b**(-8/5))/((b/((b**13*b)/b))/b)) assuming b is positive. b**(-1432/165) Simplify (u**(-2/7)/u**(3/16))/(u**(-4/3)/u**(-16)) assuming u is positive. u**(-5087/336)
Let f = 24784/5885497693 - -28744562544539515591/86104831248590. Let n = f + -6343201/19. Let m = n - -6/385. Calculate the common denominator of m and -63/4. 4 Let x = 63 + 18. What is the common denominator of (-110)/12 - (-3)/(-3) and (3 - 159/x)*3? 18 Let v = 64 + -50. Calculate the least common multiple of v and 22. 154 Suppose 40 = -4*d + 152. Suppose 5*r - 4*o - 2 - d = 0, 5*o + 23 = -r. Suppose -h = -19 + 1. Calculate the lowest common multiple of h and r. 18 Let n = 8 + -3. Suppose -n*l + 56 = -14. Suppose -k + 9 = -3. Calculate the smallest common multiple of k and l. 84 Calculate the common denominator of -29/9 and (2/3)/((-60)/207). 90 Suppose 365 = -4*x + 5. Find the common denominator of 117/10 and (30/(-25))/(4/x). 10 Let r be ((-2)/(-1))/(1/2). Suppose -o + 5 = r*o. Suppose 0 = 3*z - 3*l - 12, 3*l + 5 = 14. Calculate the least common multiple of z and o. 7 Let c be (-2)/(-9) - (-9199)/17370. Let o = c - 10/193. Let s = 241/6 + -2353/60. What is the common denominator of o and s? 20 Let u(z) = -12*z**3 + z - 1. Let a be u(1). Calculate the common denominator of (214/a)/((-88)/(-24)) and -103/20. 220 Find the common denominator of 393/84 - (-3)/(-4) and -17/22. 154 Let b be 57/9 - 4/(-6). Let x = b - 3. Let v = 5 - -4. What is the lowest common multiple of v and x? 36 Let j(x) = -x**2 + 9*x - 8. Let o be j(6). Let f = -17 + o. What is the smallest common multiple of 2 and (-6)/21 + (-79)/f? 22 Let o = -125/52 + 2689/156. What is the common denominator of o and -15/14? 42 Let k = 7971/14 - 569. Let a = 408642 - 4063313/10. Let c = -2306 + a. Find the common denominator of k and c. 70 Let d be 0 + 2 - 7244/(-20). Let m = 3207/10 - d. Find the common denominator of (8/(-6))/(15/(-108)) and m. 10 Let l be (-6)/(-33) + (-172)/(-22). Let s(x) = x**2 - 6*x + 2. What is the smallest common multiple of 14 and s(l)? 126 Let w = 5969/8 - 735. What is the common denominator of w and 26/3? 24 Suppose 31 = r - 3*i, -3*r = r + 5*i - 39. Let k = r + 35. Suppose w = -4*s - 7 + k, -33 = -3*s + w. Calculate the least common multiple of 11 and s. 11 Let l = -90388/117 - 2596/39. Let n = l - -838. Let k = 2/9 + n. What is the common denominator of k and 5/11? 99 Let v = -21273 - -510703/24. What is the common denominator of v and 143/24? 24 Let y = -1619/3 + 533. Suppose -3*x = -0*x + 129. Calculate the common denominator of (x/(-4))/((-7)/4) and y. 21 Let j(n) = n**3 + 7*n**2 - 10*n - 6. Suppose 5*q = m - 2, -2*m - q + 6 = -3*m. Let c = -5 - -9. Calculate the least common multiple of j(m) and c. 20 Calculate the common denominator of 31/10 and (-106)/(-120) - 22/(-33). 20 Find the common denominator of 66*4/((-112)/3) and 77/16. 112 Let b = -19/390 + -80/39. Calculate the common denominator of 99/4 and b. 20 Find the common denominator of 7/20 and 1343/(-650) - 12/78. 100 Let f be 10/(-8)*(-13430)/(-1855). Let k = f + 67/53. Find the common denominator of 81/20 and k. 140 Let n(k) = -2*k + 12. Let d be n(6). Let m(q) = q**2 + 14. What is the least common multiple of m(d) and 20? 140 Suppose 0 = -2*m + 5*s - 0*s, -5*m = -2*s. Suppose m*p = 4*p - 72. Let v = -19 + 23. Calculate the least common multiple of p and v. 36 Suppose -36 = 4*n + 8. Let r = n + 19. What is the smallest common multiple of 16 and r? 16 Suppose -2*t + 5*r + 136 = r, -t + 71 = -3*r. Suppose 154 = -2*c + t. Calculate the common denominator of 69/4 and c. 4 Suppose -2*c + 4*h + 28 = -c, 3*c = -h + 58. Let n = -1 + 9. Calculate the least common multiple of c and n. 40 Let g(t) = 2*t - 2. Let z be ((-16)/(-6))/((-18)/(-27)). Suppose -2*b = -4*b + z. Calculate the lowest common multiple of g(6) and b. 10 Suppose 3*g = 4*u - 31, -5*u - 3*g + 36 + 23 = 0. What is the smallest common multiple of u and 20? 20 Let b be ((-414)/(-27))/(4/(-6)). Let c = b - -35. What is the lowest common multiple of 18 and c? 36 Suppose y - 26 = 4*d, 0 = -2*y - 3*d - 2*d - 13. Suppose 0 = -0*k + 6*k. Calculate the lowest common multiple of (-3)/y*k + 7 and 11. 77 Let r = -16 - -27. Calculate the smallest common multiple of 14 and r. 154 Suppose 0 = w - 0*b + 3*b - 4, b + 52 = 3*w. Suppose -5*v = -5, 5*v = -2*g - 3*g - 10. Let h = g - -19. What is the least common multiple of w and h? 16 Let x(z) = -z + 30. Let d be (-8)/(-6)*-6*1. Let w = 13 + d. What is the least common multiple of w and x(20)? 10 Find the common denominator of ((-3)/(-2))/(10/6) and 9/8. 40 Calculate the smallest common multiple of 0/(2 - 1) + (8 - -25) and 33. 33 Let g be 18/15*(-20)/6. Let d = -4884 - -87941/18. Find the common denominator of d and 982/20 - g/10. 18 Suppose -5 + 19 = f. Let o be 60/(-8)*6/(-9). Suppose 3*x - 48 = -o*l, 5*x - 2*l - 14 - 66 = 0. Calculate the lowest common multiple of f and x. 112 Calculate the common denominator of -4/7 and (-234)/(-64)*2 + -2. 112 Let d(f) = -f**2 - 15*f + 36. Calculate the lowest common multiple of d(-17) and 2/4 - 31/(-2). 16 Let i = -5 - -11. Suppose -6 = 4*k + i. What is the common denominator of -117/10 and (k + 1 - -61)/(-4)? 20 Let y(p) = p**3 - 5*p**2 + 5. What is the smallest common multiple of 9 and y(5)? 45 Let q be (18/45)/(2/20). Suppose q*m = h + 2, -h = m - 6*h + 9. Let y = -21 - -32. What is the least common multiple of y and m? 11 Let y = -329858/27 + 12219. Find the common denominator of -10/21 and y. 189 Let j(y) = -y**3 + 5*y**2 + 2. Let i(u) be the first derivative of u**2/2 + 9*u - 2. Let w be i(-6). Calculate the lowest common multiple of j(w) and 8. 40 Let o = -2/2017 - 38299/24204. Find the common denominator of o and 39/20. 60 Let m = 24649/10576 + -12/661. What is the common denominator of 39/8 and m? 16 Suppose -s = -0*s + 26. Let c = 12 + s. Find the common denominator of -17/2 and 10/4 + 4/c. 14 Let x(t) = -t**3 + 6*t**2 - 5*t - 3. Let j be x(4). Let u = j - 5. Calculate the smallest common multiple of 4 and u. 4 Let d be 7/(-6)*(0 - 130). Let w = -2302/15 + d. Calculate the common denominator of w and -127/6. 30 Suppose -270558 = -4*o - 3*k, -2*o - 5*k = 3*o - 338195. Let n = o + -409147/6. Let z = n + 573. Find the common denominator of 53/2 and z. 6 What is the smallest common multiple of 9 and (33/2)/((6/4)/3)? 99 Let y = 13 + -6. Let q = 1 + y. Calculate the least common multiple of 20 and q. 40 Let a(l) = 3*l - 10 + 0*l - 2*l. Let g be a(9). Calculate the least common multiple of 13 + -2 + 2/g and 6. 18 Suppose -3*q + 3*f + 7 = -5, 4*f - 2 = -5*q. Let b(c) = c**2 + c + 12. Calculate the least common multiple of b(0) and q. 12 Suppose -7 = -2*y + 13. What is the least common multiple of 20 and y? 20 Let q = 4 + -9. Calculate the common denominator of 0/q - 59/8 and -2 + -2*327/(-36). 24 Suppose 4*p = 2*p + 30. Suppose -39 = -3*h + p. What is the lowest common multiple of 8 and h? 72 Suppose 0 = -3*u + 3*w + 12, -2*u - 5*w + 1 = -0*u. Calculate the smallest common multiple of u and 54. 54 Suppose -4*l - 44 = -6*l. What is the least common multiple of 1/3 - l/(-6) and 9? 36 Let g(v) = v**3 - 10*v**2 - 10*v - 7. Let s be g(-8). Let j = 9685/9 + s. Let k = 19/3 + -259/12. What is the common denominator of j and k? 36 Let l(q) = 35*q**3 + q**2 - q + 1. Let c be l(1). Suppose c = j + j. What is the lowest common multiple of j and 18? 18 Suppose -3*d - 5*q = -10 + 3, -3*d + 5*q + 47 = 0. What is the smallest common multiple of d and 5? 45 Suppose -5*a + 4*a + 6 = 0. Suppose -19 = -3*r - 4*t, -3*r + r + 14 = 4*t. Calculate the smallest common multiple of a and r. 30 Let j(d) = d**3 + 9*d**2 - 8*d + 11. Let b be j(-10). Find the common denominator of -33/10 and (-121)/6 + (-6)/b. 10 Suppose f = 2*c + 2*f + 10, 0 = 5*c - 2*f + 34. Calculate the common denominator of -11/18 and (-62)/(-4) + (-2)/c. 18 Let u(b) = 5*b - 71. Calculate the least common multiple of u(21) and 3. 102 What is the common denominator of (-117)/(-132)*(-32)/(-12) and 61/10? 110 Let s be (3/(-6))/(1 - -142). Let d = s + -1787/143. Calculate the common denominator of d and -22. 2 Let u = -2 - -11. Let x be -5*(-1 + 0) - 0. Calculate the least common multiple of 2/(-5) - (-32)/x and u. 18 Find the common denominator of (-4)/6*((-738)/(-60) - 0) and 107/26. 130 What is the common denominator of 1295/(-168) - 2/(-1) and 46/3? 24 Let v = 4 + 3. Let p(s) = s**3 - 7*s**2 + s + 4. What is the lowest common multiple of 10 and p(v)? 110 Let q = -6471/4 + 12845/8. Suppose -a + 1010 = 4*a. Find the common denominator of q and (a/18 - 3) + 0. 72 Let q be -2 + -2 + 2 - -8. Let f be (-50)/(-18) - q/(-27). Suppose 10 = -f*x + 28. Calculate the least common multiple of 1 and x. 6
Let a = -23 - -21.08. Let l = a - 0.08. Sort -0.3, l, 2. l, -0.3, 2 Suppose 0 = 13*t - 9*t + 12. Let j = 2 + -3. Sort j, t, 2. t, j, 2 Let w(g) = g**2 - g - 3. Let p be (-2 - 0) + 1 + 4. Let o be w(p). Suppose o*u - 3 = 2*y - 18, -3*y = 3*u. Sort 3, u, -5. -5, u, 3 Suppose 4*i - 9 = 4*d - 25, 3*i = d - 10. Let g = -1 - -5. Let z be (-2)/4 + (-2)/g. Sort i, 4, z in increasing order. i, z, 4 Let d = 11 + -15. Let a be ((-4)/d)/(1/(-7)). Sort a, 0, 3. a, 0, 3 Let l(c) = c**2 + 4*c**3 - 2*c**3 - 3*c + 3*c. Let r be l(1). Put 4, r, 1 in descending order. 4, r, 1 Suppose -z + 6 = -3*z. Let q = -26 + 16. Let v = 9 + q. Sort z, 5, v in ascending order. z, v, 5 Let h = -0.8 + 0.85. Let z = -1.95 - h. Sort z, 0.5, -0.1. z, -0.1, 0.5 Let o(x) = x + 3. Let r be o(-6). Let v = 26 - 16. Let g = v + -15. Sort r, g, -1 in descending order. -1, r, g Suppose -201 - 99 = -5*s. Suppose -5*l + s = -0*l. Suppose 3*b + b = l. Sort -2, b, -4 in increasing order. -4, -2, b Let x be 7/1 + -1 + -2. Suppose -v + 2 = -x*c, v + 5*c = 2*v - 2. Suppose t = -0*t + 4. Sort -5, v, t in ascending order. -5, v, t Let n(j) = -j**3 + 2*j**2 + 4*j - 2. Let m be n(3). Suppose -4*q - 4*y - 36 = 0, -q = -2*q - 5*y - 25. Sort q, m, 4 in descending order. 4, m, q Let r be 1*(0/(-3) - 0). Suppose 0*j - 3*j = r. Suppose j*k + 4*k = -4*t + 24, -3*k + 2 = -5*t. Sort -2, -1, t in decreasing order. t, -1, -2 Suppose -3*v + 21 = u - 0*v, 0 = -4*u - 2*v + 44. Let s be 6/9 - 6/u. Sort s, -2, 1 in decreasing order. 1, s, -2 Let a(w) = -6*w + 1. Let f be (-1 + -4 - 3)*1. Let u be 2/f - 35/(-28). Let r be a(u). Put r, -3, 4 in descending order. 4, -3, r Suppose 3*k + 3*z - 9 = 0, -3*k + 0*z = 4*z - 13. Let b = 4 - k. Sort b, 2, 2/3 in ascending order. 2/3, 2, b Let v = -7 + -15. Let s = 87/4 + v. Let r(j) = -j**3 - 3*j**2 + 6*j + 6. Let y be r(-4). Sort s, y, 4. y, s, 4 Let x = -0.9 - -1.1. Let p = 0.6 - x. Sort -1, 4, p in ascending order. -1, p, 4 Let r = 5 - 13/3. Let t = 0.21 + 13.79. Let k = 10 - t. Sort -0.5, k, r in decreasing order. r, -0.5, k Let t = 0.25 + -5.25. Sort t, 0.01, -1/3. t, -1/3, 0.01 Suppose 3 = 4*j - 1. Suppose 3 = -4*x - 5*b, 3 = 5*x + 3*b + b. Suppose 0 = -2*q + 4*l + 16, -5*q - l - 2*l - 12 = 0. Sort x, q, j in decreasing order. x, j, q Let y be 3/(54/1389) + 2. Let h = y + -314/3. Let x = -761/30 - h. Sort x, -0.2, 0.2. -0.2, x, 0.2 Let l = -62.2 + 62. Put 5, 9, l in ascending order. l, 5, 9 Suppose -n = 2 + 2. Put 0, -1, -5, n in increasing order. -5, n, -1, 0 Suppose 4*o - 2*n = -10, -3*o - 4*n = n + 1. Sort 2, -4, o in increasing order. -4, o, 2 Suppose 0 = 5*o - 16 + 71. Let s(z) = z + 7. Let j be s(o). Sort -3, j, 0. j, -3, 0 Let f be (4 + 12/6)*(-1)/2. Sort 0.12, 3/5, f in decreasing order. 3/5, 0.12, f Let q = -0.078 + -4.922. Sort -3/2, q, 3 in descending order. 3, -3/2, q Suppose 0 = 4*n + 8 - 0. Put -0.1, -0.2, n in decreasing order. -0.1, -0.2, n Suppose -4*v + 0*v = 0. Let s be (-51)/(-7) + (-2)/7. Let d be (-10)/35 + 16/s. Sort -5, d, v in ascending order. -5, v, d Suppose -6*k - 23 = -53. Sort -0.1, -2/3, 25, k in descending order. 25, k, -0.1, -2/3 Let t = 22 + -12. Let k = t + -7. Let d = -11 - -12. Put k, 0, d in ascending order. 0, d, k Suppose 2*m + 10 = 0, 2*g + 24 + 5 = -5*m. Suppose -3*a = -j - 0*j - 14, -4*j = -5*a + 21. Sort g, a, -3 in decreasing order. a, g, -3 Let g = 2 + 0. Suppose 4 + 3 = 2*v + 3*b, -5*v = g*b - 23. Sort v, -1, -5 in increasing order. -5, -1, v Let z be (-1)/(6/(-4)*-4). Suppose 4*p - 4*i = 12, 3*i = 3*p + i - 9. Put 4/7, p, z in decreasing order. p, 4/7, z Let t = -41 + 32. Put t, 1, -5 in descending order. 1, -5, t Suppose -2*u + 35 = -7*u. Let a be u/((-147)/(-6))*2. Sort 2, a, 5 in descending order. 5, 2, a Let x(i) = -3*i - 2 + 4 - i. Let s be x(-4). Let a = s + -13. Put a, 3, 4 in decreasing order. a, 4, 3 Let f be (2/3)/((-14)/(-105)). Sort 1, f, -2 in ascending order. -2, 1, f Suppose 43*t + 15 = 40*t. Let w = 0.2 - 0.5. Sort w, t, -1 in decreasing order. w, -1, t Let x(w) = -2*w - 2. Let k be ((-4)/(-6))/((-1)/3). Let y be x(k). Suppose 4*h = y*h - 10. Sort 3, -2, h in decreasing order. 3, -2, h Let m(w) = -3*w**2 - 2*w - 8. Let x be m(0). Put 3, 5, x, -3 in decreasing order. 5, 3, -3, x Let y be -3*((-20)/(-12))/5. Sort -2/9, y, -0.1 in decreasing order. -0.1, -2/9, y Let d(c) = -c - 4. Let z be d(-7). Let y = -5 + z. Suppose 15*s = 12*s + 15. Sort y, 0, s in descending order. s, 0, y Let k = 30.87 - 31. Let c = k + 0.16. Sort c, -4/5, 5 in descending order. 5, c, -4/5 Let u = 91/15 - 31/5. Let v = 0.038 + 3.662. Let z = v + -4. Sort z, u, 2/13 in decreasing order. 2/13, u, z Let z = -0.197 + -0.113. Sort -3, z, 3 in decreasing order. 3, z, -3 Let z = 36 + -34. Put -9, z, -3 in descending order. z, -3, -9 Let x(u) = u**3 + 2*u**2 - u + 2. Let q be x(-3). Put 1, q, -5 in ascending order. -5, q, 1 Let o = -13 - -8. Let y be 2/(-21) - (-184)/168. Put y, o, 3 in decreasing order. 3, y, o Let v = -0.25 + -3.75. Sort v, 4, 1/4 in descending order. 4, 1/4, v Let u be -2*-5*4/(-10). Put 4, 3, u, -2 in increasing order. u, -2, 3, 4 Let i = 65.43 + -66. Let n = 7.83 - i. Let l = -8 + n. Sort -0.5, 0, l. -0.5, 0, l Suppose -5*i = 6*v - v - 5, 5*v + 25 = 5*i. Put 4, 1, v in increasing order. v, 1, 4 Suppose -15 + 35 = 4*u. Put u, 4, 2 in decreasing order. u, 4, 2 Let o(n) = -6*n - 1. Let g be o(-7). Let s = 165/4 - g. Sort 0.4, s, 5. s, 0.4, 5 Suppose 0 = -2*r + 8, 4*i - 7 = 5*r - 19. Suppose 2*o = -0*o + 10. Let k = -26 + 24. Sort k, i, o in ascending order. k, i, o Let l = -0.22 - 0.08. Put -0.5, l, 3/10 in descending order. 3/10, l, -0.5 Suppose -a = 2*v + 3*v - 123, -90 = -4*v + 2*a. Suppose v = 5*g - f - f, -20 = -3*g + 4*f. Sort 1, -1, g in increasing order. -1, 1, g Let k = 2.7 + -14.7. Let h = k - -12. Let l = -0.5 + 0.8. Put h, l, 2/3 in descending order. 2/3, l, h Let t be 3/(-2)*(-3 - -5). Let m be (0 + (-8)/6)/6. Put 1/2, t, m in increasing order. t, m, 1/2 Suppose -104*t = -108*t - 8. Let z = 4 - 0. Put t, -4/7, z in decreasing order. z, -4/7, t Let v be 225/(-33) + 4 - -3. Sort -2, v, 1, 1/7 in descending order. 1, v, 1/7, -2 Let a(d) = -9 + 5*d + d**2 - 2*d**2 + 5 + 0*d**2. Let q be a(4). Sort -4, q, 5 in ascending order. -4, q, 5 Let s be 4*(2 + 0)/4. Let n be (-2)/4*(2 - 0). Let q be (n*4 + 3)*3. Put q, s, -2 in decreasing order. s, -2, q Let g be ((-1)/3)/((-1)/3). Suppose n - 5 + 0 = 5*k, -g = -2*k + n. Put k, -4, -3 in decreasing order. k, -3, -4 Let i(v) = -v**3 - 2*v**2 + 2*v - 1. Let f be (8/6)/(10/(-15)). Let l be i(f). Sort 1, l, -2 in increasing order. l, -2, 1 Let b = -2.9 - -0.1. Let o = 1.2 - b. Sort -1, -2/5, o in ascending order. -1, -2/5, o Suppose b - 8 = 5*b. Let w be 3/(b/((-12)/(-9))). Suppose 0*c - 2*c - 6 = 2*f, -3*c - 7 = 5*f. Put f, 0, w in increasing order. w, 0, f Let k be ((-4)/(-8))/(2/16). Let h be (-1)/((9/21)/3). Let u = h + 5. Put k, 3, u in decreasing order. k, 3, u Let l = 18 + -16. Put -3, 4, l in decreasing order. 4, l, -3 Let x = -0.067 + -0.233. Put 4, x, 0.5 in increasing order. x, 0.5, 4 Suppose -24 = -q + 4*t, -2*q + 4 - 16 = 4*t. Suppose 13 = q*w - 3. Let i be w + -2 + 1 + 2. Sort i, -5, 0.3 in decreasing order. i, 0.3, -5 Let m = -152 + 158. Sort -0.4, m, 2/21 in descending order. m, 2/21, -0.4 Suppose 6*v = c + 2*v - 14, 2*c = 3*v + 18. Sort 3, c, -3. -3, 3, c Let l be 10*(4 + 18/(-5)). Put -2, l, 3 in descending order. l, 3, -2 Let w(s) = s - 2. Let o be w(2). Suppose l = o, -45 = -0*f + 5*f + l. Let d = 4 + f. Put d, 5, -1/3 in increasing order. d, -1/3, 5 Let k be (-24)/9*(-3)/2. Suppose -3*x - k = x. Let u = 11 - 9. Put x, -3, u in increasing order. -3, x, u Suppose 42*p - 47*p = 5. Put 3, 4, -7, p in ascending order. -7, p, 3, 4 Suppose 25 = 8*r - 3*r. Let k(x) = -x**3 + 10*x**2 - 27*x + 17. Let z be k(6). Put r, z, 0 in increasing order. z, 0, r Let h = -108 + 113. Put 0, h, -3, 1 in increasing order. -3, 0, 1, h Let r = 26.1 + -26. Sort -0.2, -5, 4, r in decreasing order. 4, r, -0.2, -5 Let z be 57/21 + (-4)/(-14). Let v be 5/z + 10/(-15). Suppose q - v = 0, 2*p = -2*q + 6*q + 6. Put -4, p, 0 in descending order. p, 0, -4 Let b = 26 + -18. Suppose 1 = x - 4*o - 15, 2*o + b = -x. Put 4, x, -1 in decreasing order. 4, x, -1 Let c be 3 + ((-5)/(-5) - 1). Let l = 3 + -8. Sort c, -4, l in increasing order. l, -4, c Let u = 0.039 - 0.139. Sort u, -4, -0.5, 0.2 in increasing order. -4, -0.5, u, 0.2 Let a = -0.187 + -0.013. Put 4/3, -2/3, a in descending order. 4/3, a, -2/3
Four letters picked without replacement from ekqe. What is prob of picking 3 q and 1 e? 0 Calculate prob of picking 1 d, 1 x, and 1 a when three letters picked without replacement from xssxrasoxdxox. 5/286 Four letters picked without replacement from {w: 2, p: 3, f: 3, d: 2, b: 5}. What is prob of picking 1 p, 2 f, and 1 d? 6/455 Calculate prob of picking 2 p and 1 a when three letters picked without replacement from qqpdadpu. 1/56 What is prob of picking 2 z when two letters picked without replacement from zzckkbhkzkkkczwcwk? 2/51 Two letters picked without replacement from {p: 5, g: 3}. Give prob of picking 2 p. 5/14 Four letters picked without replacement from ckkkcckccpc. Give prob of picking 2 p and 2 k. 0 Two letters picked without replacement from {q: 1, f: 3, k: 1, y: 2, n: 3}. Give prob of picking 2 n. 1/15 Calculate prob of picking 1 u and 1 p when two letters picked without replacement from {u: 9, p: 1, r: 4}. 9/91 Calculate prob of picking 1 k, 1 f, and 1 h when three letters picked without replacement from {y: 1, k: 1, t: 1, h: 2, f: 2}. 4/35 Two letters picked without replacement from {g: 2, q: 1, f: 4}. What is prob of picking 1 q and 1 f? 4/21 Two letters picked without replacement from {m: 2, f: 2}. Give prob of picking 2 m. 1/6 Four letters picked without replacement from {g: 4, l: 2, s: 7}. What is prob of picking 2 s, 1 g, and 1 l? 168/715 What is prob of picking 2 k and 2 a when four letters picked without replacement from {k: 2, a: 10}? 1/11 Calculate prob of picking 3 v when three letters picked without replacement from rfruvuvuyvfv. 1/55 What is prob of picking 1 o and 1 b when two letters picked without replacement from {w: 1, r: 1, g: 1, b: 1, o: 1}? 1/10 Calculate prob of picking 3 l when three letters picked without replacement from {l: 5, j: 11}. 1/56 Two letters picked without replacement from {a: 8, v: 3}. What is prob of picking 2 v? 3/55 Calculate prob of picking 2 k, 1 v, and 1 x when four letters picked without replacement from vbkkxbwbkcxkvvb. 12/455 Three letters picked without replacement from vvvdvrrvvvvvvvrv. What is prob of picking 3 r? 1/560 Calculate prob of picking 2 a when two letters picked without replacement from nannnannjnjenbnan. 3/136 What is prob of picking 3 x when three letters picked without replacement from uuxuxxuuuuuuuu? 1/364 Calculate prob of picking 1 v and 1 d when two letters picked without replacement from {n: 1, v: 3, d: 1}. 3/10 Two letters picked without replacement from {y: 1, w: 11}. What is prob of picking 2 w? 5/6 What is prob of picking 1 m and 1 s when two letters picked without replacement from nmjsz? 1/10 Calculate prob of picking 1 u and 1 a when two letters picked without replacement from waawwcwuaaw. 4/55 What is prob of picking 2 c and 2 t when four letters picked without replacement from tcjjtajacjctjtjjcc? 1/51 What is prob of picking 2 v, 1 k, and 1 o when four letters picked without replacement from {v: 4, z: 3, d: 1, k: 2, t: 7, o: 1}? 1/255 What is prob of picking 1 u and 2 v when three letters picked without replacement from aoaavuavvvaaaaaooaav? 1/114 Four letters picked without replacement from {h: 5, y: 1, t: 1, r: 3}. Give prob of picking 2 r, 1 y, and 1 h. 1/14 Three letters picked without replacement from fppvppflffp. What is prob of picking 2 f and 1 p? 2/11 What is prob of picking 1 b, 1 w, and 2 m when four letters picked without replacement from {p: 8, w: 4, m: 3, v: 2, b: 2, z: 1}? 8/1615 Calculate prob of picking 2 g when two letters picked without replacement from ggddf. 1/10 Calculate prob of picking 2 u and 1 l when three letters picked without replacement from uuuuuuuuuuuuuuluuuuu. 3/20 Four letters picked without replacement from yeykkyyykyykeykyeek. What is prob of picking 3 e and 1 k? 2/323 Four letters picked without replacement from {j: 1, v: 10, d: 7}. Give prob of picking 1 v, 2 d, and 1 j. 7/102 What is prob of picking 1 b, 1 t, and 1 s when three letters picked without replacement from {t: 1, b: 1, n: 2, s: 2, j: 2, r: 1}? 1/42 Calculate prob of picking 3 b when three letters picked without replacement from fffbffbf. 0 Three letters picked without replacement from {k: 2, x: 1, l: 1, u: 4}. Give prob of picking 1 k, 1 l, and 1 x. 1/28 Three letters picked without replacement from {s: 7, p: 4, q: 8, o: 1}. What is prob of picking 3 s? 7/228 Calculate prob of picking 1 d and 2 m when three letters picked without replacement from {d: 10, m: 9}. 120/323 Three letters picked without replacement from {f: 7, p: 6}. Give prob of picking 3 f. 35/286 Calculate prob of picking 1 d and 3 i when four letters picked without replacement from iiiiriiiridiiiriiiii. 112/969 What is prob of picking 1 i and 1 v when two letters picked without replacement from {j: 2, g: 1, z: 2, i: 1, x: 2, v: 1}? 1/36 Four letters picked without replacement from {w: 1, m: 4, s: 5, f: 1, p: 2, k: 2}. Give prob of picking 1 k, 1 p, and 2 m. 8/455 Two letters picked without replacement from {m: 3, e: 3}. Give prob of picking 2 e. 1/5 Four letters picked without replacement from uytyynyiynytt. What is prob of picking 1 n and 3 t? 2/715 What is prob of picking 1 r and 1 k when two letters picked without replacement from {v: 6, r: 1, t: 1, k: 1}? 1/36 Four letters picked without replacement from vvhvhhhhvhhhhhhvvh. Give prob of picking 4 h. 11/68 What is prob of picking 1 q, 1 j, 1 l, and 1 s when four letters picked without replacement from {p: 3, s: 2, q: 1, l: 5, j: 7}? 7/306 Two letters picked without replacement from {q: 1, m: 1, y: 1, s: 1, n: 1}. What is prob of picking 1 y and 1 q? 1/10 Four letters picked without replacement from {q: 7, r: 9}. Give prob of picking 3 r and 1 q. 21/65 Four letters picked without replacement from ketip. What is prob of picking 1 k, 1 p, and 2 e? 0 Four letters picked without replacement from qqqqwqwqqqwwwq. What is prob of picking 4 q? 18/143 Three letters picked without replacement from {l: 6}. What is prob of picking 3 l? 1 What is prob of picking 3 y when three letters picked without replacement from {z: 3, y: 3}? 1/20 What is prob of picking 3 u when three letters picked without replacement from {q: 5, u: 5}? 1/12 What is prob of picking 3 h when three letters picked without replacement from {h: 4}? 1 Two letters picked without replacement from {v: 2, q: 3, r: 3}. Give prob of picking 2 q. 3/28 Two letters picked without replacement from rrrmrrnrrrrarrmmrar. What is prob of picking 1 m and 1 r? 13/57 What is prob of picking 1 p and 1 a when two letters picked without replacement from aapdappa? 3/7 Two letters picked without replacement from cccqcchqvclqcvqccc. What is prob of picking 1 c and 1 v? 20/153 What is prob of picking 1 x and 1 s when two letters picked without replacement from xxsxsxsxxxs? 28/55 Calculate prob of picking 2 j and 1 x when three letters picked without replacement from {u: 3, x: 1, b: 1, j: 1, k: 1}. 0 Four letters picked without replacement from {p: 1, k: 1, r: 2, e: 6, z: 2}. What is prob of picking 2 z and 2 r? 1/495 Calculate prob of picking 3 l when three letters picked without replacement from ststlsslslt. 1/165 What is prob of picking 2 g and 1 b when three letters picked without replacement from wwgwgwgwbgw? 2/55 What is prob of picking 1 l and 1 q when two letters picked without replacement from {s: 2, l: 2, q: 4, p: 3}? 8/55 What is prob of picking 1 k and 2 u when three letters picked without replacement from {x: 2, k: 2, i: 1, u: 1}? 0 Two letters picked without replacement from {l: 2, p: 4, q: 5, t: 1, a: 2}. Give prob of picking 1 p and 1 a. 8/91 What is prob of picking 2 a when two letters picked without replacement from assssssasassssss? 1/40 What is prob of picking 4 x when four letters picked without replacement from {q: 5, s: 4, x: 5}? 5/1001 What is prob of picking 1 o and 1 w when two letters picked without replacement from oaarowwhlwoowho? 4/21 What is prob of picking 1 v and 1 p when two letters picked without replacement from {p: 1, v: 1, q: 1}? 1/3 Two letters picked without replacement from iibbbbbbbbbbbbbbbibb. Give prob of picking 2 i. 3/190 Two letters picked without replacement from {r: 1, g: 2, b: 1, m: 1, l: 2, f: 1}. What is prob of picking 1 f and 1 m? 1/28 Two letters picked without replacement from ccooccooccooccocoo. What is prob of picking 2 o? 4/17 Two letters picked without replacement from qqsq. Give prob of picking 1 s and 1 q. 1/2
Calculate the remainder when 2290 is divided by 632. 394 What is the remainder when 138564 is divided by 465? 459 What is the remainder when 92769 is divided by 7135? 14 What is the remainder when 83398 is divided by 208? 198 Calculate the remainder when 3225 is divided by 294. 285 What is the remainder when 12114 is divided by 1024? 850 Calculate the remainder when 18808 is divided by 57. 55 What is the remainder when 4245 is divided by 4225? 20 What is the remainder when 215079 is divided by 190? 189 What is the remainder when 18023 is divided by 817? 49 What is the remainder when 3339 is divided by 204? 75 What is the remainder when 46986 is divided by 373? 361 Calculate the remainder when 568887 is divided by 80. 7 What is the remainder when 242 is divided by 26? 8 What is the remainder when 34097 is divided by 338? 297 What is the remainder when 3654 is divided by 1825? 4 Calculate the remainder when 1597 is divided by 294. 127 What is the remainder when 147923 is divided by 29? 23 What is the remainder when 1343 is divided by 642? 59 What is the remainder when 15103 is divided by 7204? 695 What is the remainder when 13535 is divided by 183? 176 Calculate the remainder when 18590 is divided by 250. 90 Calculate the remainder when 39927 is divided by 26. 17 Calculate the remainder when 116712 is divided by 1112. 1064 Calculate the remainder when 64679 is divided by 42. 41 What is the remainder when 5245 is divided by 210? 205 Calculate the remainder when 21089 is divided by 6710. 959 Calculate the remainder when 1545 is divided by 741. 63 Calculate the remainder when 119726 is divided by 22. 2 What is the remainder when 5857 is divided by 483? 61 Calculate the remainder when 5735 is divided by 24. 23 What is the remainder when 147629 is divided by 399? 398 Calculate the remainder when 1844 is divided by 597. 53 Calculate the remainder when 2325 is divided by 1088. 149 Calculate the remainder when 6205 is divided by 172. 13 What is the remainder when 568 is divided by 135? 28 What is the remainder when 176702 is divided by 16? 14 What is the remainder when 1877 is divided by 1458? 419 What is the remainder when 74982 is divided by 318? 252 Calculate the remainder when 40920 is divided by 802. 18 What is the remainder when 1227 is divided by 215? 152 What is the remainder when 161917 is divided by 121? 19 Calculate the remainder when 60681 is divided by 295. 206 What is the remainder when 24760 is divided by 248? 208 Calculate the remainder when 973123 is divided by 5. 3 Calculate the remainder when 91681 is divided by 39. 31 Calculate the remainder when 118037 is divided by 84. 17 Calculate the remainder when 1796064 is divided by 21. 18 Calculate the remainder when 22304 is divided by 43. 30 What is the remainder when 267645 is divided by 15743? 14 What is the remainder when 62050 is divided by 5169? 22 What is the remainder when 184668 is divided by 5? 3 What is the remainder when 58635 is divided by 2442? 27 What is the remainder when 47807 is divided by 1841? 1782 What is the remainder when 650 is divided by 636? 14 Calculate the remainder when 45315 is divided by 768. 3 Calculate the remainder when 616015 is divided by 19. 16 Calculate the remainder when 6323 is divided by 980. 443 Calculate the remainder when 31734 is divided by 218. 124 Calculate the remainder when 148529 is divided by 37128. 17 What is the remainder when 466881 is divided by 863? 861 What is the remainder when 31879 is divided by 15937? 5 What is the remainder when 570178 is divided by 1481? 1474 Calculate the remainder when 372087 is divided by 158. 155 What is the remainder when 22796 is divided by 28? 4 What is the remainder when 133703 is divided by 1714? 11 What is the remainder when 805 is divided by 132? 13 What is the remainder when 396 is divided by 315? 81 What is the remainder when 23632 is divided by 93? 10 Calculate the remainder when 1913 is divided by 353. 148 Calculate the remainder when 4367 is divided by 28. 27 Calculate the remainder when 24520 is divided by 388. 76 Calculate the remainder when 9364 is divided by 800. 564 Calculate the remainder when 10767 is divided by 71. 46 Calculate the remainder when 3928 is divided by 530. 218 What is the remainder when 7140 is divided by 1430? 1420 Calculate the remainder when 2875 is divided by 2857. 18 What is the remainder when 989 is divided by 125? 114 What is the remainder when 138525 is divided by 117? 114 Calculate the remainder when 16934 is divided by 158. 28 Calculate the remainder when 616976 is divided by 791. 787 What is the remainder when 22121 is divided by 3159? 8 Calculate the remainder when 3473 is divided by 1151. 20 What is the remainder when 73271 is divided by 13? 3 Calculate the remainder when 15354 is divided by 111. 36 Calculate the remainder when 6014 is divided by 148. 94 Calculate the remainder when 39111 is divided by 55. 6 What is the remainder when 34668 is divided by 524? 84 Calculate the remainder when 7804 is divided by 65. 4 Calculate the remainder when 27687 is divided by 791. 2 Calculate the remainder when 3824 is divided by 891. 260 Calculate the remainder when 119982 is divided by 531. 507 What is the remainder when 236972 is divided by 39? 8 What is the remainder when 391 is divided by 385? 6 Calculate the remainder when 7973 is divided by 5. 3 Calculate the remainder when 25108 is divided by 3. 1 What is the remainder when 10245 is divided by 99? 48 What is the remainder when 111996 is divided by 4869? 9 Calculate the remainder when 12081 is divided by 367. 337 What is the remainder when 46323 is divided by 13? 4 Calculate the remainder when 101377 is divided by 1152. 1 What is the remainder when 551752 is divided by 880? 872 Calculate the remainder when 22745 is divided by 61. 53 What is the remainder when 20554 is divided by 2055? 4 Calculate the remainder when 2086422 is divided by 495. 492 What is the remainder when 77771 is divided by 573? 416 Calculate the remainder when 882647 is divided by 152. 135 What is the remainder when 344810 is divided by 19? 17 What is the remainder when 12822 is divided by 276? 126 What is the remainder when 82159 is divided by 27? 25 What is the remainder when 62285 is divided by 116? 109 Calculate the remainder when 97455 is divided by 2953. 6 What is the remainder when 4521 is divided by 34? 33 What is the remainder when 1540 is divided by 378? 28 What is the remainder when 1692750 is divided by 366? 0 Calculate the remainder when 4004 is divided by 200. 4 Calculate the remainder when 272 is divided by 112. 48 What is the remainder when 7890 is divided by 7428? 462 What is the remainder when 515765 is divided by 4? 1 What is the remainder when 6263 is divided by 605? 213 What is the remainder when 4469 is divided by 758? 679 What is the remainder when 49562 is divided by 137? 105 Calculate the remainder when 44987 is divided by 2494. 95 What is the remainder when 7557 is divided by 1244? 93 What is the remainder when 18151 is divided by 100? 51 What is the remainder when 5829 is divided by 1906? 111 Calculate the remainder when 5790 is divided by 30. 0 What is the remainder when 3592 is divided by 10? 2 Calculate the remainder when 13608 is divided by 273. 231 What is the remainder when 972068 is divided by 1160? 1148 What is the remainder when 7850 is divided by 1555? 75 Calculate the remainder when 12118 is divided by 392. 358 Calculate the remainder when 875 is divided by 47. 29 Calculate the remainder when 68106 is divided by 13619. 11 What is the remainder when 152137 is divided by 152112? 25 What is the remainder when 2146 is divided by 243? 202 What is the remainder when 31826 is divided by 4533? 95 Calculate the remainder when 56923 is divided by 23. 21 What is the remainder when 1456084 is divided by 291213? 19 Calculate the remainder when 11242 is divided by 3736. 34 What is the remainder when 114936 is divided by 28716? 72 What is the remainder when 7579 is divided by 32? 27 Calculate the remainder when 8313 is divided by 4095. 123 Calculate the remainder when 3335 is divided by 1005. 320 What is the remainder when 2017 is divided by 116? 45 Calculate the remainder when 4810 is divided by 1311. 877 Calculate the remainder when 190581 is divided by 37. 31 Calculate the remainder when 16429 is divided by 1509. 1339 What is the remainder when 43194 is divided by 286? 8 Calculate the remainder when 1597 is divided by 52. 37 Calculate the remainder when 6027 is divided by 6021. 6 Calculate the remainder when 7801167 is divided by 2158. 2155
Expand (2*n**2 + 0*n**2 - n**2)*(-14*n + 40 - 40). -14*n**3 Expand -35*b**2 + 14*b**2 + 14*b**2 + (3*b + 4*b - 6*b)*(-2*b + 5*b - 5*b) + 2 - 2 + 2*b**2. -7*b**2 Expand (-3*a + 11*a + 5*a)*(a**2 + 0*a**2 + 0*a**2). 13*a**3 Expand 4*r**5 - r**5 - r**5 + 0*r**5 + r**5 - 2*r**5 + (r**4 - 2*r**4 + 4*r**4)*(3*r - 2*r - 3*r). -5*r**5 Expand -20*i**2 + 19 - 19 + (i + i + 0*i)*(-5*i + 0*i + 6*i) - 4*i**2 + 4*i**2 - 3*i**2. -21*i**2 Expand (2*p**2 + 0 + 0)*(4*p + 2*p + 0*p). 12*p**3 Expand 7*b**3 + 2*b**3 - 19*b**3 + (0 + 0 - 1)*(-2*b - 4*b**3 + b**2 + 3*b - 2*b**2). -6*b**3 + b**2 - b Expand (-2*n + 2*n - 2*n)*(-1 + 5 + 7)*(-1 + 2 + 1 + (-4 + 0 + 6)*(0 + 5 - 4)). -88*n Expand (-3 + n**4 + 3)*(-n - 2*n - 4*n). -7*n**5 Expand 6*t**3 - 5*t**4 - 6*t**3 + (-4*t + 6*t - t)*(t**2 - t**2 + t**3) + (0*t + 3*t + 0*t)*(t**3 + t**3 + 0*t**3). 2*t**4 Expand ((5*y - 3*y - 3*y)*(-2 - 2 + 3) - 2*y - y + y)*(-3 + 1 - 5). 7*y Expand (-3*v**3 + v**3 + 4*v**3)*(0 + v**2 + 0). 2*v**5 Expand -2*a**4 - 5*a**4 + 14*a**4 + (3*a**4 + 0*a**4 - 4*a**4)*(3 + 0 - 1). 5*a**4 Expand ((2*g + g - g)*(4 - 2 + 0) + g + 3*g - 3*g)*(-11*g + 5*g + 18*g). 60*g**2 Expand -3*n**3 - 2*n**3 + 3*n**3 + (-2*n + 2*n + n)*(2*n**2 + 3*n**2 - 4*n**2) - 2*n - 2*n**3 + 2*n + 1 - 1 + 2*n**3 + 2*n - 2*n - 6*n**3. -7*n**3 Expand (-3*b**2 + 2*b**3 + 3*b**2)*(20 - 12*b**2 - 20) + (1 + b**3 - 1 - 1)*(-1 - 2*b**2 + 1). -26*b**5 + 2*b**2 Expand (-2*v + 15*v - 7*v)*(-2*v**2 + v**2 + 0*v + 2*v)*(v**2 - 2*v + 2*v). -6*v**5 + 12*v**4 Expand (-1 + 4 - 2)*(-14 - b - b + 0*b). -2*b - 14 Expand (0*m**2 - m**2 + 3*m**2)*(0*m - 5*m + 3*m) + (10*m**2 - 4*m + 4*m)*(5*m + m - 4*m). 16*m**3 Expand (-3 + 4*j + 3 + (-2 - 1 + 5)*(2*j + 3*j - 3*j))*(0 + 0 - 2 - 1 - 1 + 3 + (-1 + 0 - 1)*(1 - 3 + 1)). 8*j Expand (4*b**2 + b**2 - b**2)*(b**2 - 3579*b + b**2 + 3592*b - 3). 8*b**4 + 52*b**3 - 12*b**2 Expand (-2*r + r + 3*r)*(24 + 12 - 24 + 27). 78*r Expand (0*d + d + 2*d)*(-6 + 1 + 10). 15*d Expand -a**3 + 4*a**3 + 0*a**3 + (0*a**2 + 2*a**2 - 6*a**2)*(2 - 2 - a). 7*a**3 Expand 16*s - 6*s + 12*s + (-3*s - 2*s + 4*s)*(0 + 4 - 3) + s + 6*s - 5*s. 23*s Expand (-c + c + 2*c**2)*(-14*c + 4*c - 8*c) + (0 - 2*c + 0)*(2*c**2 + 4*c - 4*c) + c - c - c**3. -41*c**3 Expand (-3*i - 4*i + 6*i)*(1 + 3 + 3)*(-2*i - 2*i + 3*i) + i**2 - 3*i**2 + 5*i**2. 10*i**2 Expand ((0*l + 2*l - 4*l)*(-2 + 1 + 0) + l - l + l + 5*l - 4*l + 0*l - l - 5*l + 5*l + (-2*l + 5*l - l)*(2 - 2 + 1) - 3 + 3 - l)*(-14*l**3 - 16*l + 16*l). -56*l**4 Expand (-4*l**3 + 3*l**3 + 3*l**3)*((3 - 5 + 1)*(3 - 3 + 2) + 3 - 2 + 3 + 5 - 1 - 3). 6*l**3 Expand (-3*l**2 + 4*l**2 + 0*l**2)*(-27*l - 3 + 33*l + 1). 6*l**3 - 2*l**2 Expand (6 - 2*r**3 + r**3 + 0*r**3)*(0 + 1 + 1)*(-1 + 1 + 5). -10*r**3 + 60 Expand (k**2 + 0*k**2 - 3*k**2)*(1 + 2 - 2)*(-2*k**2 + 9*k**2 + k**2). -16*k**4 Expand (5 - 5 + z)*(1 - 7 + 6*z + 8)*(z**2 - 3*z**2 + 0*z**2). -12*z**4 - 4*z**3 Expand (-5*m**2 + 9*m**2 + 2*m**2)*(-m - 3 + 0*m + 1). -6*m**3 - 12*m**2 Expand (-b**2 - 5*b**2 - b**2)*(1 - 3 + 3)*(-1 - 1 + 4). -14*b**2 Expand 3*u**3 - 3*u**3 - 1 + u**4 + (u**4 - 4 + 4)*(2 - 4 + 0) + 3*u**4 + 0*u**4 + u**4. 3*u**4 - 1 Expand (-h - 4 + 13 - 8)*(-4*h + 2*h + 0*h). 2*h**2 - 2*h Expand -x + 0*x + 3*x + (1 + 2*x - 1)*(-1 - 4 - 2). -12*x Expand ((-3 - 1 + 3)*(0 + 0 + i) + 0 + 0 - 2*i)*(-1 + 5 - 3)*(51*i + 11*i - 5*i). -171*i**2 Expand 6*b**4 - 7*b**4 - 2*b**4 + 3*b**4 + 0 + 0 - 4*b**4 + 4*b**4 + 2*b**4 - b**4 + 4*b**3 - 4*b**3 + (b**2 - 3*b**2 + 4*b**2)*(-b**2 - b**2 + 4*b**2). 5*b**4 Expand (5 - 5 - 6*r)*(0*r - 2*r + 10*r)*(-2*r + 3*r + 2 + 0*r). -48*r**3 - 96*r**2 Expand (-2*i**2 + 18 - 18)*(-5*i**2 + 2*i**2 + i**2) - i**2 + 3*i**4 + i**2. 7*i**4 Expand (-4*q + 0*q + 3*q + 3*q**4)*(-3*q + 2*q - q)*(3 - 2 + 0). -6*q**5 + 2*q**2 Expand (-3*g + 2*g + 4*g + (4*g + 0*g - 5*g)*(5 + 1 - 2))*(3*g - g - 4*g). 2*g**2 Expand (11 + 7*h**2 - 11)*(2*h + 0*h - 4*h)*(4 + 4 - 5). -42*h**3 Expand (2*r - 6*r + 2*r)*(r + 0 + 0) + (-2*r + r + 3*r)*(-r + 2*r - 4*r). -8*r**2 Expand (6*k**3 + 2*k**3 - 3*k**3)*(0 - 2 - 1) + (0*k**2 - 2*k**2 + 0*k**2)*(-k + 1 - 1). -13*k**3 Expand (k - 3*k + 0*k)*(1 - 5 + 3)*(-7 + 2 - 1)*(-2*k + 4*k - 3*k). 12*k**2 Expand (1 - 1 + 4*m**3)*(-2*m**2 + 2*m**2 + m**2)*(3 - 5 + 3). 4*m**5 Expand ((5 - 1 - 3)*(2 + 0 + 0) + 3 - 3 + 4)*(-2*y + y - y). -12*y Expand (-l**2 - 4*l**2 + 2*l**2)*(-4*l**2 - l**3 + 3*l**3 - 4*l**3). 6*l**5 + 12*l**4 Expand (-3*k + 4*k - 2*k)*(5 + 1 - 3)*(4 - 4 + 1). -3*k Expand -2*a**3 + 1 - 2*a**2 - 1 + (-2*a + a - a)*(-2*a + 2*a - 2*a**2). 2*a**3 - 2*a**2 Expand (-o + o - o**3 + (o + 4 - 4)*(-3*o**2 - 2*o**2 - 2*o**2))*(0*o + o - 3*o). 16*o**4 Expand (5 - 3 - 3)*(0 + 0 - 2*w) + 0*w + 2*w + 0*w. 4*w Expand (0 + 1 - 3)*(31*z**3 - 22*z**3 + 15*z**3). -48*z**3 Expand (r + r - 3*r + r - 2*r + 4*r + (3 + 0 - 1)*(r - r + 5*r) + 2*r - 5*r + r)*(-r + r - 2*r**3). -20*r**4 Expand (2 - 2 - h**5)*(-17 - 2 - 42 - 1 + 3 - 1 + (3 - 3 + 2)*(-2 - 3 + 3)). 64*h**5 Expand (1 - y**2 - 1 + 1)*(y**2 - 2*y + 2*y + (-2*y + 3 - 3)*(-y - y + 0*y)). -5*y**4 + 5*y**2 Expand 94*j - 94*j - 23*j**3 + (j - 2*j + 2*j)*(j**2 - 2*j**2 + 2*j**2). -22*j**3 Expand -4*g**5 - 3*g**5 + 3*g**5 + g**5 + 4*g**4 - 4*g**4 + (0 + 0 - 2)*(3*g**5 - 2*g**5 - 2*g**5). -g**5 Expand (o - 2*o + 0*o)*(-o**4 - 3*o**3 + 3*o**3) + (3*o + 0*o + o)*(-2*o**4 + 2*o**4 + 2*o**4). 9*o**5 Expand s**4 + 0*s**4 - 3*s**4 + (6*s**2 - 4 + 4)*(-2*s**2 + 4*s**2 - s**2) - 4*s + 4*s - s**4. 3*s**4 Expand ((3 + 2 - 3)*(-3*n**2 + 4*n**2 - 2*n**2) + 3*n**2 + 0*n**2 - 2*n**2)*(n - 3 + 3). -n**3 Expand (-1 + 4 - 4)*(8 - 11 + 5)*(l + 3*l - 2*l). -4*l Expand (-1 - 5 + 4)*(-f - 10 + 10 + (4*f - 3*f + f)*(0 + 0 - 2)). 10*f Expand (0 + 0 + 2)*(8 - 3*v - 8)*(3 - 6 + 0)*(3*v + 4*v + 0*v). 126*v**2 Expand (-7*g + 0*g - 3*g)*(-5*g + 0*g + 4*g). 10*g**2 Expand (4*s**2 + 5*s**2 - 3*s**2)*(2*s**3 - s**3 - 2*s**3)*(-2 + 0 + 3). -6*s**5 Expand (-4*x**3 + 2*x**3 + 4*x**3)*(-16*x**2 + 2*x**2 + x**2). -26*x**5 Expand (-v**5 + 10*v**5 + 4*v**5)*(-1 - 1 + 5)*(-1 + 2 + 1). 78*v**5 Expand (-1 + 3 + 0)*(-p + 4 - 4) + (-3 - 1 + 5)*(0*p + 2*p - 4*p). -4*p Expand 6 - 6 - j**3 + (-j + 1 - 1)*(-4*j - 2*j**2 + 4*j) - 3*j + 2*j**3 + 3*j + 3*j**3 + 0*j**3 - j**3. 5*j**3 Expand (b - 3 + 3)*(-1 + 4 + 2) + 2 + 3*b - 3 - b. 7*b - 1 Expand (-4*c - 8*c + 6*c + (-2 + 2 + 2*c)*(-4 - 1 + 3))*((5 - 3 - 3)*(3 - 7 + 3) + 0 + 4 - 1 + 0 + 0 + 2). -60*c Expand (-4*j - j + 3*j)*(-2*j - 1 + 1) + 4*j**2 - 9*j**2 + 11*j**2. 10*j**2 Expand (3*d**2 + 1 - 1)*(-34*d + 171 - 171). -102*d**3 Expand ((2*k**2 + 2*k**2 - 2*k**2)*(-2*k + 2 - 2) - 2*k**3 - k**2 + k**2 - 2*k**3 - 2*k**3 + 3*k**3)*(-2*k + 2*k - k). 7*k**4 Expand 12*g**5 - 9*g**5 + 15*g**5 - 3*g**5 - g**5 + 3*g**5 - g**5 - 5*g**5 + 4*g**5 + 0 + 0 + 2*g**5 + (-g**3 - 3*g**3 + 2*g**3)*(-g**2 + 0*g**2 - g**2). 21*g**5 Expand (r**2 + 3*r**2 - 6*r**2)*(-5*r**2 + 5*r**2 - 2*r**2) + r**2 + 2*r**4 - r**2 + 6*r**4 - 3*r**4 + 0*r**4 + (-5 + 1 + 2)*(-21 - 3*r**4 + 21). 15*r**4 Expand 3*b**2 - b + b + (3 - 3 - 2*b)*((-1 - 3 + 2)*(b - b - 2*b) - 4*b + 0*b + 2*b). -b**2 Expand (-43*c + 20*c + 44*c)*(-4*c + 0*c + 2*c). -42*c**2 Expand (0*n + 4*n - 3*n)*(-2*n**2 + n**2 + 0*n**2)*(-4*n - 4*n + 3*n + (-2 + 9 - 3)*(1 - n - 1) + 1 + 2*n - 1). 7*n**4 Expand 2*b**4 - 2*b**5 - 2*b**4 + (4*b**2 - 4*b**3 - 4*b**2)*(-2*b**2 + b**2 - b**2). 6*b**5 Expand (-y + 4*y - 4*y)*(0*y**3 - 2*y**3 + 0*y**3) - 1 + 1 + 3*y**4. 5*y**4 Expand (-2*s**3 + 0*s**3 + s**3)*(s - 2 + 2) - 3*s - 9*s**4 + 3*s + (0*s**2 + 0*s**2 - s**3)*(-1 + 2*s + 1) + 4*s**4 + 0*s**4 - 3*s**4. -11*s**4 Expand (-4*u + 0*u + 5*u)*(-2 + 2 - 3*u) + 4*u**2 + 2*u**2 - 2*u**2. u**2 Expand (-1 + 5 - 2)*(-20*u**2 + 11*u**2 - 48*u**2 + (2*u - 2*u + 2*u)*(1 - 1 + u)). -110*u**2 Expand (0*d + d - 2*d)*(5*d + d - 5*d + (-2 + 1 + 3)*(2*d + 0*d + 0*d) - 2*d + 4*d - d - 3*d + d + 0*d) - 3*d**2 + 0*d**2 + d**2. -6*d**2 Expand (n**3 - n**3 - n**3)*(2*n**2 + 2*n**2 - 6*n**2) + 4*n**2 + n**5 - 4*n**2 + 18*n**2 - 49*n**3 + n**5 + 49*n**3. 4*n**5 + 18*n**2 Expand (i**2 - 3*i + 3*i)*(-2*i + 6*i - 2*i)*(2 - 4 - 2). -8*i**3 Expand (j - j + j**2)*(-4*j + j**2 + 4*j) + (-1 + 2*j**2 + 1)*(j - 6 + 6)*(35 + 2*j - 35). 5*j**4 Expand (-2 + 2 + 1 + (-1 + 2 + 1)*(0 + 1 + 1) - 1 + 0 + 2 + 1 + 1 - 1)*(z + 0*z - 5*z). -28*z Expand (-6*h + 3*h + 0*h)*(-1 - 3 + 3)*(1 + 4 - 3 + (-3 + 3 - 1)*(-2 - 1 + 2)). 9*h Expand -2*o + 2*o - 2*o**2 + 2*o**2 - 2*o**2 - 2*o**2 + (-o - o + o)*(3 + 2*o - 3) + o**2 - 8 + 8. -5*o**2 Expand (-4*s + 10 - 10 + 0 + 0 - 2*s + (-s + 3*s - s)*(4 - 4 + 1))*(-5 + 6 + 2)*(0 - 2 + 5). -45*s
Divide -25056 by -6. 4176 What is -662 divided by -5? 662/5 306 divided by -17 -18 Calculate 11 divided by -7. -11/7 What is -10 divided by -390? 1/39 Divide -4 by 452. -1/113 Calculate -260 divided by 65. -4 Divide 1027 by -1. -1027 What is -360 divided by 6? -60 What is -539 divided by 49? -11 -5600 divided by 4 -1400 What is 3610 divided by 722? 5 What is -1 divided by 3212? -1/3212 Divide 450 by 1. 450 Divide -98 by -7. 14 What is 108 divided by -2? -54 Divide 11 by -112. -11/112 Calculate 0 divided by 42. 0 Divide -168 by 1. -168 26088 divided by -2 -13044 -82 divided by 1 -82 Calculate 50 divided by -52. -25/26 Calculate -2628 divided by 1314. -2 1 divided by -102 -1/102 0 divided by 3 0 -735 divided by -35 21 Calculate -197 divided by 5. -197/5 What is -3 divided by -719? 3/719 53 divided by -53 -1 -5 divided by 132 -5/132 What is 18 divided by -9? -2 Divide -22244 by -67. 332 Divide 1968 by -984. -2 Divide -1737 by -1737. 1 Divide 88 by 22. 4 What is -11745 divided by 29? -405 Calculate -50 divided by -1. 50 What is 264 divided by 132? 2 Divide -4 by -50. 2/25 -16 divided by 580 -4/145 Calculate 636 divided by -12. -53 What is 30 divided by 3? 10 6 divided by -1110 -1/185 Divide 5 by -74. -5/74 -1478 divided by 2 -739 What is -4944 divided by -1236? 4 Divide -14 by 29. -14/29 What is -85 divided by -5? 17 70 divided by 11 70/11 Divide 7390 by -2. -3695 What is 40 divided by -3? -40/3 What is -132 divided by -22? 6 Calculate -8 divided by -368. 1/46 -5104 divided by 464 -11 Divide 0 by -91. 0 846 divided by 2 423 -1684 divided by 11 -1684/11 1632 divided by -12 -136 What is -6864 divided by -44? 156 648 divided by -36 -18 -5830 divided by 55 -106 14763 divided by 2 14763/2 What is 2758 divided by 2758? 1 2 divided by -5621 -2/5621 -405 divided by -5 81 Divide 63 by -63. -1 Calculate 8 divided by -63. -8/63 Divide -512 by -512. 1 Divide -1272 by -2. 636 Calculate 20 divided by -6. -10/3 Divide 34006 by -1. -34006 Divide 21385 by -329. -65 633 divided by -3 -211 What is 833 divided by -119? -7 Divide 1667 by 2. 1667/2 Calculate -3135 divided by -11. 285 Divide -676 by -26. 26 -2750 divided by 550 -5 What is -1952 divided by -16? 122 Divide 598 by -23. -26 Calculate -15339 divided by 3. -5113 Calculate -7332 divided by -2. 3666 Calculate 4 divided by -186. -2/93 What is -14194 divided by 1? -14194 Divide -3 by 77. -3/77 What is -11612 divided by -4? 2903 Calculate -30 divided by -41. 30/41 -102 divided by 102 -1 -4 divided by 62 -2/31 Calculate -194 divided by -6. 97/3 Calculate 112 divided by -7. -16 Divide -1 by -154. 1/154 Calculate -927 divided by 9. -103 What is -13658 divided by -6829? 2 Divide -266 by 2. -133 Divide -144 by 144. -1 What is -2 divided by -2? 1 What is 2 divided by 5? 2/5 What is -2 divided by -12? 1/6 Calculate 51 divided by 51. 1 What is -570 divided by 4? -285/2 Calculate -674 divided by 674. -1 Calculate -138 divided by -3. 46 What is -338 divided by 6? -169/3 Calculate -87 divided by -4. 87/4 Divide -1434 by 6. -239 Calculate -876 divided by 12. -73 485 divided by 1 485 Divide 1648 by 412. 4 Divide -3 by -51. 1/17 What is 2 divided by -43? -2/43 Divide 8000 by -40. -200 Calculate 2 divided by 142. 1/71 Calculate -63 divided by 9. -7 -6446 divided by -586 11 Divide -277 by -3. 277/3 Calculate -2104 divided by 2. -1052 Calculate -21 divided by 1190. -3/170 Divide 80 by 40. 2 Divide -98 by 49. -2 Calculate 6710 divided by -610. -11 Divide -10 by 5. -2 -1885 divided by -13 145 Calculate 164 divided by -1. -164 30 divided by -5 -6 -28 divided by 23 -28/23 Divide -38030 by 5. -7606 Calculate -58 divided by 29. -2 What is 1 divided by 467? 1/467 Divide 2 by 130. 1/65 Calculate -611 divided by 47. -13 Calculate 5 divided by -868. -5/868 Calculate -921 divided by -4. 921/4 -8 divided by -101 8/101 333 divided by -1 -333 Divide 3 by 1377. 1/459 What is 3198 divided by 123? 26 Divide 3540 by 5. 708 Calculate -266 divided by -266. 1 What is 6112 divided by 1528? 4 Divide -170 by 3. -170/3 What is -5 divided by 216? -5/216 Calculate 205 divided by 19. 205/19 Divide 165 by -5. -33 Calculate 255 divided by 15. 17 What is -56 divided by 14? -4 5 divided by 2592 5/2592 Calculate -194 divided by 2. -97 Divide 4323 by 4. 4323/4 What is 2 divided by 58? 1/29 42 divided by 67 42/67 What is 0 divided by 358? 0 What is 9618 divided by 5? 9618/5 What is 19975 divided by -3995? -5 Divide -8184 by -6. 1364 Calculate -4 divided by 21. -4/21 Calculate 4 divided by -767. -4/767 Calculate 37158 divided by -6. -6193 What is -4 divided by 23? -4/23 13820 divided by -1 -13820 Calculate 386 divided by 1. 386 -7812 divided by -126 62 What is 225 divided by -45? -5 -9 divided by 481 -9/481 494 divided by 19 26 866 divided by 2 433 What is -3093 divided by -3093? 1 Calculate 747 divided by -1. -747 3 divided by 62 3/62 Divide -2 by -224. 1/112 Divide 0 by -172. 0 Divide 10 by 22. 5/11 Divide 17 by 32. 17/32 -3 divided by 643 -3/643 Divide -370 by -185. 2 Calculate -2 divided by 7838. -1/3919 What is 12 divided by -30? -2/5 7 divided by 12 7/12 What is 6235 divided by -145? -43 Calculate 2 divided by -5124. -1/2562 -1920 divided by 32 -60 -2044 divided by 1022 -2 -309 divided by 3 -103 Divide -1128 by 1. -1128 What is -651 divided by 217? -3 Divide 1970 by -394. -5 -5 divided by -604 5/604 Divide 3 by -105. -1/35 What is 150 divided by -5? -30 Divide 4964 by -1241. -4 What is 2 divided by -4? -1/2 -39 divided by -3 13 What is 2331 divided by 333? 7 4950 divided by -275 -18 Calculate 0 divided by 14. 0 What is 1444 divided by -722? -2 Calculate -4685 divided by 5. -937 -432 divided by -48 9 Divide 11 by 2. 11/2 Calculate -4 divided by -132. 1/33 What is 96 divided by 8? 12 Calculate 12932 divided by 4. 3233 What is 2628 divided by 146? 18 10248 divided by -1 -10248 Divide -1140 by -60. 19 What is 18 divided by 153? 2/17 Calculate -42 divided by 42. -1 0 divided by 66 0 What is -17 divided by -48? 17/48 Calculate -183 divided by 2. -183/2 What is -416 divided by 5? -416/5 Divide 477 by 53. 9 -2421 divided by -807 3 Calculate 18662 divided by -14. -1333 Calculate -4 divided by -7105. 4/7105 -77 divided by 165 -7/15 Divide 2884 by 103. 28 Divide -3 by -170. 3/170 What is -131 divided by -9? 131/9 -12375 divided by 1125 -11 232 divided by 2 116 7 divided by -897 -7/897 What is -5 divided by 130? -1/26 Calculate -43 divided by 80. -43/80 Divide -25 by -6. 25/6 What is 2500 divided by -5? -500 Divide -1706 by -1. 1706 842 divided by -2 -421 What is 2268 divided by 21? 108 -5 divided by 352 -5/352 What is 15540 divided by -148? -105 What is 2384 divided by -1? -2384 What is 1240 divided by -20? -62 Divide -816 by -3. 272 1312 divided by -41 -32 Calculate -400 divided by 100. -4 Calculate -7995 divided by 39. -205 Calculate -1 divided by 66. -1/66 3213 divided by -189 -17 -13464 divided by -1224 11 What is 4 divided by -5? -4/5 Divide 1185 by -237. -5 Divide -28 by -460. 7/115 Divide -112 by 9. -112/9 Divide 2936 by -734. -4 Calculate -25 divided by -23. 25/23 -2431 divided by 11 -221 Calculate 7775 divided by 1555. 5 Divide 830 by 415. 2 Divide 5655 by 87. 65 -23 divided by 21 -23/21 What is 586 divided by -293? -2 0 divided by 46 0 Divide 4 by -1878. -2/939 Calculate 184 divided by -184. -1 Calculate -5 divided by -1. 5 Divide -6255 by 1251. -5 -756 divided by -108 7 4051 divided by -1 -4051 What is 192 divided by 96? 2 Divide 2304 by 36. 64 Calculate 1380 divided by 276. 5 Divide -2 by 125. -2/125 Calculate -801 divided by 267. -3 Calculate -12 divided by 50. -6/25 What is 4 divided by 62? 2/31 1 divided by -27 -1/27 What is -3780 divided by -252? 15 Divide -15 by -8. 15/8 Divide -365 by 73. -5 Calculate -99 divided by 3. -33 Divide 2618 by 6. 1309/3 Divide -5 by -212. 5/212 What is -11 divided by 2055? -11/2055 Calculate -18 divided by -9. 2 0 divided by 107 0 Divide -6362 by 6. -3181/3 504 divided by -7 -72 Divide -1386 by 22. -63 107 divided by -42 -107/42 -15801 divided by -5267 3 -316 divided by -7 316/7 Calculate -27 divided by 9. -3 Calculate -735 divided by -13. 735/13 Divide 1 by 111. 1/111 Calculate 7800 divided by -10. -780 -72 divided by 3 -24 4040 divided by -2020 -2 What is 84 divided by 7? 12 Divide -4 by -81. 4/81 Divide -17403 by -2. 17403/2 304 divided by -76 -4 6888 divided by -6 -1148 Calculate -6415 divided by -5. 1283 Calculate -112 divided by 25. -112/25 Calculate 55 divided by 2. 55/2 What is -360 divided by 2? -180 Calculate -320 divided by 32. -10 0 divided by -1559 0 -10 divided by -6 5/3 120 divided by -12 -10 -19 divided by -1 19 What is -81 divided by -135? 3/5 What is 40380 divided by 6? 6730 Divide 4646 by 101. 46 Divide 1080 by 4. 270 6 divided by 74 3/37 Calculate 99 divided by -33. -3 What is -11088 divided by -12? 924 What is -7320 divided by 2? -3660 Calculate 261 divided by 9. 29 Calculate -473 divided by 6. -473/6 Calculate 568 divided by 1. 568
Which is the nearest to -22.19? (a) -2/19 (b) 29 (c) -29 c What is the nearest to -1 in -1, 1/7, 1734, 0.5, -0.02, -64? -1 Which is the nearest to 3094? (a) -1/16 (b) 3/7 (c) 4/3 (d) 652 d What is the nearest to 221372 in 0.12, 4, 1/4? 4 What is the nearest to 235 in -0.15, -0.4, -2.11, 41? 41 Which is the closest to 1? (a) -0.4 (b) -2/11 (c) 962/181 (d) 1/3 (e) 0 d Which is the closest to 0.3? (a) 2/45 (b) 0 (c) 325 (d) 7 (e) -0.03 a Which is the closest to 0.6? (a) 5 (b) -0.112 (c) -44.1 (d) 0.5 d Which is the closest to 359? (a) 1 (b) 1/2 (c) -3/5 (d) -5 (e) 34.1 e Which is the closest to -989? (a) 1/2 (b) -0.6 (c) 2/5 (d) 2 (e) 8 b What is the closest to -0.1 in 122, -0.05, 4, -0.1, 15? -0.1 Which is the closest to 1? (a) 52 (b) 0.1 (c) 5544 b Which is the closest to 2/3? (a) 3/7 (b) 4/5 (c) 2 (d) 2/9 (e) -1/2784 (f) 1/163 b Which is the nearest to -3/2? (a) -6.4 (b) 0 (c) -1620 b What is the nearest to 31 in 17, 3/7, 6.63, -0.3? 17 What is the closest to -5 in 2, -55436, -16? 2 What is the nearest to -1/256 in 0.1, -3.8, 2/11, -0.09, -2/3? -0.09 What is the closest to 1/4 in -24, 407, -0.5? -0.5 What is the closest to -3/5 in 0.4, 2, 199, -0.5, 1? -0.5 Which is the closest to 0.04? (a) -5 (b) 1.49 (c) 78 b What is the closest to -23294 in -1, 4, 1424, -5? -5 Which is the nearest to 1409? (a) -1 (b) 16 (c) -27 b Which is the nearest to 0.16? (a) 0.05 (b) -16263 (c) 3 a Which is the closest to -0.03? (a) -11/4 (b) 0.4 (c) 0.13 (d) -181 c Which is the nearest to -0.04? (a) 191 (b) -4 (c) 100/169 (d) -3/7 d What is the closest to -0.1 in 30, -62, 5, -4, 0.3, -9? 0.3 Which is the nearest to 1? (a) -27 (b) 0.6 (c) -354/31 (d) 2/7 (e) 0.1 b What is the closest to -2906 in 5, -42/37, 0? -42/37 What is the nearest to -15/13 in 3/7, -0.3, 5/2, -0.029, -4? -0.3 Which is the closest to -147? (a) -11 (b) -0.03 (c) -7 (d) 7 a What is the nearest to -1/6 in -31, -996/35, 1, 0? 0 Which is the nearest to 0.17? (a) 41 (b) 0.02 (c) -2288 b What is the closest to 61655 in 2/9, 3, -3? 3 Which is the closest to 9? (a) 0 (b) 2 (c) -2/9 (d) 2/7 (e) -6 b Which is the nearest to -0.012? (a) 110.43 (b) 22 (c) 2 c What is the closest to 1169.3 in 2/19, 0, 9? 9 Which is the closest to -3/5? (a) -6 (b) -24 (c) -4 (d) 2/7 d Which is the closest to 0.341? (a) -6 (b) 8 (c) 2 (d) -3/5 (e) 2.9 (f) 1/7 f What is the nearest to -22 in -3, -1/10, 260471? -3 Which is the nearest to 2? (a) 3 (b) 4 (c) 326 (d) 0.4 (e) 0.5 a What is the nearest to 0.2 in -0.2, 5, 11, 4, 0.09, 43923? 0.09 What is the closest to 3 in 20, 1, 18/13, 15? 18/13 Which is the closest to 5? (a) 22.5 (b) 5 (c) 0.08 (d) 3 (e) -0.2 b What is the closest to -100 in -0.1699, 0.251, 1/2? -0.1699 Which is the closest to 1? (a) -2/17 (b) -498 (c) 0.3 (d) 0.2 (e) 4 c What is the nearest to 0.1 in -173, -1473, 2/5, 2/7? 2/7 Which is the closest to 10? (a) -2422 (b) -80 (c) -5 c What is the nearest to 3/4 in -2, 8, -9, -28/141, 2/5, 5? 2/5 What is the nearest to -6317 in -4, 6.2, 2/15? -4 What is the nearest to -5 in -3/98, -36, 545, -0.5, 2/19? -0.5 What is the nearest to 68 in -0.32, 0.1, 6.5? 6.5 What is the nearest to 1 in -0.9016, -151, 4, -1? -0.9016 Which is the nearest to -1? (a) -2850 (b) 6 (c) -2 (d) 2 c Which is the closest to 194? (a) -3 (b) -3/2 (c) -2/9 (d) 0.014 (e) 3/8 e Which is the nearest to 23.099? (a) -1/11 (b) 0.05 (c) 0.4 (d) 0.1 (e) 3 e Which is the nearest to 0.1? (a) 2 (b) 3 (c) 53658/17 a What is the closest to 219 in 4/7, -6905, -0.12, -1/2? 4/7 What is the nearest to -1 in -1/5, 9.9, 0.2, 4, -3, 871? -1/5 Which is the closest to 0? (a) -2461 (b) -0.2 (c) -1/7 (d) -0.098 (e) 0.5 d What is the nearest to -1 in 5, 18, -0.3225, 0.2, 0.7? -0.3225 What is the nearest to 188 in -3, 4/25, 22? 22 Which is the nearest to 3/17? (a) 0.01 (b) -1/35 (c) 67 a Which is the closest to -1? (a) -38/15 (b) 4 (c) 1/3 (d) 325 c Which is the nearest to 5? (a) 2 (b) -51 (c) -481 (d) -5/3 a What is the closest to -1 in -3357, -4.867, -1, 4/7? -1 Which is the closest to 2/7? (a) -15.4 (b) -2/11 (c) -382/57 b What is the closest to -1.99 in 0.808, -24, -8, -2/9? -2/9 What is the closest to 1 in 1, 7/152, 2/9, -1.4, 0.5? 1 Which is the closest to -0.1? (a) -5/24236 (b) 0.2 (c) 5 (d) 5.8 (e) -2 (f) -3/2 a What is the nearest to 2/7 in 2/7, 13265, 3, -5? 2/7 Which is the closest to -1? (a) 85 (b) -9757 (c) 4 c Which is the nearest to 72? (a) -3 (b) -47 (c) 268 a What is the nearest to 1 in 55, 264, -1, 4, 1/3? 1/3 What is the closest to 0.19 in 1, 0, -1823, 2, -9/5? 0 What is the closest to 2/29 in -13, 0.3, 38, 4, 4/9, -14? 0.3 What is the closest to -0.392 in -31, 8, 25? 8 Which is the nearest to -0.1233? (a) 1269 (b) 5 (c) 2/23 c What is the closest to 6 in -2, -0.56206, 755? -0.56206 Which is the nearest to 229? (a) 0.5 (b) -14/55 (c) 3/7 a What is the closest to 2/5 in 3639, 3, 30? 3 Which is the nearest to -0.2? (a) -1/8 (b) 63 (c) 0.5 (d) 0.3 a What is the nearest to -0.4 in -0.04244, 634, -0.1? -0.1 Which is the closest to -83? (a) -3715 (b) 3 (c) 5 b What is the nearest to 0.0668 in 0, 0.1, 9, -1, 7/3? 0.1 Which is the nearest to 12? (a) 327 (b) 3 (c) -1/9 (d) 2/7 b Which is the nearest to 17? (a) 2/7 (b) 80 (c) -1/4 (d) 16/11 (e) 0.4 (f) -1 d Which is the nearest to 5390/157? (a) -4/5 (b) 0 (c) 2/3 c What is the closest to 0.1 in 0.335, 2, -10, -0.5, -1, -1/3? 0.335 Which is the closest to -124/3? (a) -2/7 (b) 453 (c) 0.1645 a What is the nearest to 13/2 in -21, -4, 0.1, 85, 1? 1 What is the nearest to 2/27 in -5, -0.04, 0.0375, 1? 0.0375 Which is the nearest to 1/3? (a) -2 (b) 0.03 (c) -2/5 (d) 5 (e) 3 (f) 2705 b Which is the nearest to 1? (a) -178.6 (b) -0.8 (c) -31 b What is the nearest to -1 in 10, 100, 0.1, 5/4, 2.1? 0.1 What is the closest to -1/2 in 1, -305, 0.4, -2/41, -0.051? -0.051 Which is the nearest to -4480893? (a) 1/6 (b) -24/7 (c) 5 b What is the nearest to 21 in 2, 5, 220, 3/2, 106, 0.5? 5 What is the closest to 1 in 2, -40/721, -4/5? 2 What is the closest to -53210 in 0.4, 0.5, 1/4, -5? -5 What is the nearest to -1 in 10, 302.4, -14/5? -14/5 What is the nearest to -0.1 in -3, -0.1, 257, -40? -0.1 What is the nearest to 0.1 in 3, 454, -2080, -0.3? -0.3 Which is the nearest to 15/323? (a) -36 (b) 2 (c) 1 (d) -5/3 c Which is the nearest to -12? (a) 2/27 (b) 1.5 (c) 0.01 (d) 317/3 (e) -4 e Which is the nearest to -1/4? (a) 31 (b) -3 (c) -3/5 (d) 980 c What is the nearest to 0.2 in -5/8, 0.3, 29/34, 0.2, -0.4? 0.2 Which is the closest to 1/3? (a) 239 (b) 3/8 (c) 162 (d) -14 b What is the closest to -2/9 in -5, -0.04005, 2/89, 0.1, 1.3? -0.04005 What is the nearest to 0 in 0.4, -0.1, 2, 1690/81, 6/7? -0.1 What is the nearest to -0.02 in 0.3, -3, 4, -12858/5? 0.3 What is the closest to 0.1 in 8.3, -23, -1/6, 0.3, 0.5? 0.3 Which is the nearest to -0.1? (a) 22557 (b) -2/15 (c) 3/5 (d) 110 b What is the nearest to -10121/819 in 4/7, 4, 3? 4/7 What is the closest to -2 in 46/11, -871, 0.2, -9/4, -14? -9/4 Which is the nearest to -0.2? (a) -0.2 (b) 6 (c) -4.414 a Which is the closest to -1/333? (a) 5 (b) 772 (c) -3/4 c Which is the closest to 0.0245? (a) -2 (b) 17 (c) -4 a Which is the closest to 2/7? (a) 1/23 (b) 0.4 (c) 3 (d) 947 (e) -18 b Which is the nearest to -22? (a) 2/37 (b) 0.1 (c) -1.21 (d) 58 c What is the nearest to 10 in 1, -5, 145205? 1 What is the nearest to -0.1 in -0.5, 1, 4/7, -0.73, -1.75? -0.5 What is the nearest to -788 in 0.5, -6/37, -0.2, -0.5? -0.5 What is the closest to -1 in 0.02, 3, 5, -0.0712, -2? -0.0712 Which is the nearest to 1? (a) -3/16 (b) 2/17 (c) -18 (d) -84 (e) -5 b Which is the nearest to 0.4? (a) -2/15 (b) 12 (c) 112.5 (d) -1/3 (e) -5 a Which is the closest to 1.78? (a) 0.3 (b) -0.03109 (c) 1 (d) -5 (e) 0.02 (f) 0 c What is the nearest to -4/31 in -0.38, 2/7, 0.126? -0.38 What is the nearest to 2 in 0.1, -199145, 0.3, -0.4? 0.3 What is the nearest to -7 in -1/3, 126, -4, -9, 4/7, -2.3? -9 What is the nearest to 1/2 in -12, -2, -1/34, -4, 37, 1/2? 1/2 What is the closest to 0.3 in 0.3, -182, 2/5, -6674, 11? 0.3 Which is the closest to 2.57? (a) -2/5 (b) -29 (c) 1/11 c Which is the closest to 1/4? (a) -5 (b) 1/3 (c) 308 (d) 48 (e) 0.5 b Which is the closest to 0.028? (a) 2 (b) -0.3 (c) 393 (d) 3 (e) -1/10 e What is the nearest to -2/3 in -3475, -1, 667? -1 Which is the closest to -40? (a) -0.4 (b) -2.9 (c) -1 (d) -48 (e) -3 (f) 5 d
Suppose -n = -4*o, 3*n + 13 = -5*o + n. Let b be ((-4)/2)/(1/o). Let t(r) = b*r + 3*r - 2*r. Let y(f) = -2*f**2. Give y(t(g)). -18*g**2 Let p(t) be the second derivative of t**3/3 + t. Suppose 4*v = -1 - 3. Let z(c) = c**2. Let x(j) = -j**2. Let q(f) = v*z(f) - 2*x(f). What is q(p(r))? 4*r**2 Let f(o) = -4*o + 12. Let z(d) = 3*d**2. Give z(f(g)). 48*g**2 - 288*g + 432 Let s(d) = 39*d - 2. Let v(q) = q. Let b(m) = 2*m. Let y(a) = b(a) - 3*v(a). What is y(s(c))? -39*c + 2 Let d(a) = -3*a**2. Let q(g) be the second derivative of -9*g**4/2 + 2*g + 1. Determine d(q(u)). -8748*u**4 Let i(j) = -2*j. Let n(t) = -5*t**2 - 2*t. Let u(p) = -19*p**2 - 9*p. Let r(a) = 9*n(a) - 2*u(a). Calculate i(r(f)). 14*f**2 Let u(j) = -356 + 2*j + 356. Let c(h) = 25*h. Give u(c(l)). 50*l Let p(m) be the first derivative of -2 + 0*m**2 + 0*m - 2/3*m**3. Let j(d) = -2*d**2. Give p(j(f)). -8*f**4 Let n(b) = 7097*b**2. Let x(w) = 6*w. Give x(n(f)). 42582*f**2 Let k(q) be the first derivative of -q**2/2 - 1. Let p(o) = -6*o**2 - o**2 + 6*o**2. What is p(k(u))? -u**2 Let p(x) be the third derivative of -3*x**5/20 + 10*x**2. Let l(w) = 2*w. Calculate l(p(y)). -18*y**2 Let l(k) = k + 4. Let o(i) = -4*i**2. What is l(o(s))? -4*s**2 + 4 Let b(i) = -i + 16. Let k(d) = 3*d. Determine k(b(q)). -3*q + 48 Let d(u) be the first derivative of -4*u**3/3 + 3. Let q(i) = 4*i**2. Calculate q(d(h)). 64*h**4 Let l(a) = 19*a - 7*a - a**2 - 12*a. Let y(t) = t. Determine y(l(u)). -u**2 Let q(g) = -g. Suppose -2*t = -0*t - 12. Let u = -3 + t. Let p(k) = u*k - 4*k + 4*k. Give q(p(i)). -3*i Let c(l) = 7*l**2. Let x(d) be the third derivative of d**6/180 - 2*d**3/3 - 2*d**2. Let a(s) be the first derivative of x(s). What is a(c(y))? 98*y**4 Let w(q) = -3*q**2. Let i = 2 - 5. Let j(u) = 7*u**2 + 5*u + 5. Let r(o) = -4*o**2 - 3*o - 3. Let h(y) = i*j(y) - 5*r(y). Give w(h(c)). -3*c**4 Let f(m) = -5*m. Let j(t) = 6*t**2 - t. Give f(j(i)). -30*i**2 + 5*i Let n(x) = -x. Suppose j = -4*r - 14, -r + 2*j = -0*j - 1. Let p(z) = 6*z - 3. Let l(o) = 5*o - 2. Let c(u) = r*l(u) + 2*p(u). What is n(c(f))? 3*f Let l be (-21)/(-2 - 28/(-8)). Let b(w) = 4*w. Let o(z) = 15*z. Let m(a) = l*b(a) + 4*o(a). Let c(u) = 2*u - 4 + 4. Determine m(c(x)). 8*x Let g(x) = -x**2. Let y(a) = a**2 - 3*a + 3. Let l(b) = 5*b**2 - 17*b + 17. Let k be (-4)/(-24)*4*-51. Let h(t) = k*y(t) + 6*l(t). What is g(h(s))? -16*s**4 Let b(f) = 10*f - f - 7*f. Let y = 12 + -3. Let c(t) = -2*t - t + y*t. Give c(b(h)). 12*h Let y(w) = -w. Let n(f) = -2*f. Let b(j) = -j**3 - 8*j**2 + j + 10. Let t be b(-8). Let d(i) = 2 + 3*i - t. Let m(s) = -5*d(s) - 6*n(s). Calculate m(y(c)). 3*c Let c(x) = -2*x - 3 + 0*x + 4*x - 5*x. Let j(k) = -k**2 + 11*k + 11. Let t(o) = 22*c(o) + 6*j(o). Let v(f) = -f. Give v(t(s)). 6*s**2 Let z(w) = 2*w. Let k(t) = 3*t**2 - 2. Let h(q) = 7*q**2 - 5. Suppose -p + 3*p + g + 8 = 0, -2*p + g = 12. Let r(i) = p*k(i) + 2*h(i). Give r(z(a)). -4*a**2 Let v(j) = 4*j**2. Let o(i) = i**2 + 11*i + 13. Let b be o(-10). Let d(p) = b - 5 - p + 2. What is v(d(r))? 4*r**2 Let p(g) be the third derivative of -g**4/24 + 2*g**2. Suppose 0 = -4*q - 0 + 8. Let j(x) = q*x - 14 + 14. Give j(p(r)). -2*r Let r(i) = 57*i**2 - i. Let k(b) = b. Determine r(k(g)). 57*g**2 - g Let y(v) = 2*v**2. Let l(n) = 107*n + 6. Let w(r) = r - 1. Let f(i) = l(i) + 6*w(i). What is f(y(j))? 226*j**2 Let r(i) = 7*i**2 + 2. Let a(j) = -1. Let v(p) = -2*a(p) - r(p). Let u(b) = -b. Determine u(v(n)). 7*n**2 Let u = -2 - -7. Let y(g) = 1 + 7*g**2 + 4 - u. Let x(l) = -l**2. Give x(y(i)). -49*i**4 Let g(s) be the first derivative of s**3 - 32. Let a(c) = 30*c. Calculate g(a(m)). 2700*m**2 Let o(h) = -2*h. Let i(l) be the third derivative of -l**4/24 - 6*l**2. Calculate i(o(q)). 2*q Let j(z) = 7*z. Let f(b) = b. Suppose -4*y = 4*c - y - 10, 5 = 3*c + y. Let g(i) = c*j(i) - 5*f(i). Let m(t) = -t**2. What is m(g(v))? -4*v**2 Let c(g) = 4*g**2. Let v(r) = 7*r**2. Determine v(c(p)). 112*p**4 Let a(l) = 633*l. Let v(u) = -2*u**2. Calculate a(v(b)). -1266*b**2 Let j(x) = -3*x. Suppose -3*h + 2*h = -0*h. Let v(f) be the third derivative of 0*f**3 + f**2 + 0 + 0*f + h*f**4 - 1/60*f**5. What is j(v(z))? 3*z**2 Let u(h) be the first derivative of 2*h**2 + 1. Let w(b) = b**2 - b. Let r(m) = -3*m**2 + 4*m. Let q(n) = -r(n) - 4*w(n). Determine q(u(y)). -16*y**2 Let r(f) = 2*f. Let q(w) = -221*w. Give r(q(y)). -442*y Let u(q) = -69*q**2. Let j(s) = 2*s. What is u(j(y))? -276*y**2 Let p(a) = -3*a**2. Let h(r) be the second derivative of 0*r**2 + 1/6*r**4 + 0*r**3 + 0 - 10*r. What is p(h(l))? -12*l**4 Let y(z) = 48*z**2 + 33. Let a(l) = -3*l**2 - 2. Let n(m) = -33*a(m) - 2*y(m). Let i(p) = -p. What is i(n(h))? -3*h**2 Let w(y) = -42*y**2. Let m(i) be the first derivative of -i**2/2 + 26. Determine m(w(h)). 42*h**2 Let p(v) = 2*v**2. Let d = 23 + -21. Let s(a) be the first derivative of 0*a + 1/2*a**d + 3. Determine s(p(o)). 2*o**2 Let g(v) be the first derivative of -1 + 0 + 0*v**2 + v**2 + 0. Let w(q) = -4*q**2. Calculate w(g(b)). -16*b**2 Let s(f) = 4*f. Let v(q) = 73*q. Calculate s(v(z)). 292*z Let p(z) = 581*z**2 + 1. Let c(v) = v**2. Determine p(c(b)). 581*b**4 + 1 Let w(v) be the second derivative of -v**4 - 32*v. Let q(l) = 2*l**2. What is q(w(i))? 288*i**4 Let w = 80 - 479/6. Let g(l) be the second derivative of 0*l**2 + 0*l**3 + 4*l + 0 + w*l**4. Let h(d) = -5*d**2. What is h(g(t))? -20*t**4 Let y(w) be the first derivative of w**4/24 + w**2/2 + 1. Let p(a) be the second derivative of y(a). Let b(j) = -4*j**2. Calculate b(p(u)). -4*u**2 Let h(j) = -j**2. Let q(m) be the first derivative of -5 + 0 + 2*m**2 + 3 - 3. Give q(h(b)). -4*b**2 Suppose 2*w = -w - 12. Let u(q) = 2*q + 7. Let k(l) = -l - 4. Let j(m) = w*u(m) - 7*k(m). Let g(c) be the second derivative of -c**4/6 + 3*c. Calculate j(g(b)). 2*b**2 Let j(q) be the first derivative of 5*q**3 + 9. Let b(m) = -2*m. Calculate j(b(v)). 60*v**2 Let j(b) = 168*b - 1. Let m(l) = 2*l**2. What is m(j(r))? 56448*r**2 - 672*r + 2 Let j(a) be the first derivative of -a**2/2 - 1. Let g(o) = -56*o**2 + 49. Let h(x) = 7*x**2 - 6. Let v(b) = -6*g(b) - 49*h(b). Give v(j(k)). -7*k**2 Let m = 4 - 2. Let k(a) = -2*a - 2 + m. Let t(g) be the third derivative of -g**4/12 + 2*g**2. Calculate k(t(c)). 4*c Let w(r) = 5*r - 3*r - 2*r - 2*r. Let g(i) = 9*i. What is w(g(j))? -18*j Let x(h) = 1208*h**2. Let b(w) = 2*w. Determine b(x(n)). 2416*n**2 Let s(k) = -7*k**2 + 3*k**2 - 2*k**2 - 7*k**2. Let m(v) = v. Determine m(s(i)). -13*i**2 Let i(m) be the first derivative of 3*m**2/2 - 2. Let w(n) = 3*n. What is w(i(z))? 9*z Let r(v) = -11*v - 5. Let f(n) be the third derivative of n**4/4 + n**3/2 - 2*n**2. Let l(u) = 5*f(u) + 3*r(u). Let t(o) = -5*o**2. Calculate l(t(x)). 15*x**2 Let p(x) = -x - 4. Let s(c) be the third derivative of -1/24*c**4 + 3*c**2 + 0 + 0*c - 5/6*c**3. Let r(j) = 5*p(j) - 4*s(j). Let z(k) = k**2. Give z(r(f)). f**2 Let r(m) be the second derivative of 7*m**3/6 - 4*m. Let c(h) = 2*h**2. Calculate c(r(x)). 98*x**2 Let z(s) = 7*s - 6. Let h(r) = 6*r - 5. Let b(i) = 6*h(i) - 5*z(i). Let n(o) = -3*o**2 + 3 - 3. What is n(b(j))? -3*j**2 Let x(a) = 4*a**2 - 6*a**2 + a**2. Let j(c) = -2*c**2. What is j(x(d))? -2*d**4 Let d(p) = -8397 + 8397 - 2*p. Let l(w) = w. Determine l(d(g)). -2*g Let z(b) = -2*b - 14. Let v(s) = -s. What is z(v(g))? 2*g - 14 Let f be (-8)/6*15/(-2). Suppose -4*x = o - 77, -2*o + 0 = -f. Let i(t) = -x - 5*t + 18. Let g(y) = y. Calculate i(g(v)). -5*v Let z(f) = 3*f. Let m(a) be the second derivative of a**7/840 + a**4/6 + a. Let b(k) be the third derivative of m(k). What is z(b(c))? 9*c**2 Let j(x) = x**3 + 4*x**2 + 3*x. Let c be j(-3). Let d = -5 - -7. Let u(r) = 0*r + d*r + c*r. Let o(y) = -y**2. What is o(u(g))? -4*g**2 Let y(m) = -2*m. Let o = -3 + 2. Let s(v) = -14*v**2 - 12*v + 12. Let p(c) = c**2 + c - 1. Let a(z) = o*s(z) - 12*p(z). Give a(y(h)). 8*h**2 Let c(f) = 4*f. Let x(d) = 603*d**2. What is x(c(k))? 9648*k**2 Let u(v) be the second derivative of 17*v**3/6 - 25*v. Let y(w) = w**2. Calculate y(u(o)). 289*o**2 Let c(w) = 4 + 3*w**2 - 4. Let t(v) = -5*v - 4*v + 4*v. What is c(t(b))? 75*b**2 Let q(k) = -5*k**2. Let w(t) = -t**2 + 1. Let y(o) = -75*o**2 + 60. Let z(c) = -60*w(c) + y(c). Calculate z(q(i)). -375*i**4 Let m(k) = -k**2 - 387 + 387. Let o(g) = -14*g**2. What is m(o(i))? -196*i**4 Let y(p) = -22*p - 2*p**2 + 22*p + p**2. Let b(o) = -8*o**2. Give y(b(x)). -64*x**4
Suppose 4*s = 3*x + 7, -3*x - 5*s + 0 + 2 = 0. Let v be (-2)/x*111/6. Suppose -6*w + v = 7. Which is the second biggest value? (a) -3 (b) w (c) -1/4 c Suppose 6*m - 4*m + m = 0. What is the third biggest value in m, 67, -5? -5 Let n(t) = -t**3 + 7*t**2 - 8*t + 8. Let k be n(7). Let b be (-12)/k + (-19)/(-4). Let z be -1 - (130/(-22))/b. What is the third biggest value in 2, -12, z? -12 Let j = 0.25 + 0.05. Let n = 12.4 - 12. What is the smallest value in -4, n, j? -4 Let t = 154 - 149. Which is the biggest value? (a) 3/7 (b) -0.1 (c) t (d) -2 c Let l = -56 + 104. Let i = -48 + l. What is the second smallest value in -2/7, i, 0.3? i Let k = -0.253 - -0.253. Let h = 1.4 + -1. What is the third biggest value in h, k, -9, -1? -1 Let i = 11.8 - 11.9. Suppose k + 4*s - 8 = 5*k, -3*s = 5*k + 18. What is the third smallest value in k, 2, i, -0.5? i Let p be ((-324)/(-45) + -7)/((-4)/30). What is the third smallest value in 9, -0.2, p, 1/5? 1/5 Suppose 2*g - 2*n + 11 = n, -g + 5*n - 23 = 0. Which is the fourth smallest value? (a) 1/4 (b) 0 (c) g (d) -0.1 c Let j(o) = o**3 - 2*o**2 - 8*o + 3. Let x be j(4). Which is the second biggest value? (a) x (b) 2 (c) 1 (d) 0.1 b Let x = 632 + -632.1. What is the second smallest value in 0.3, 13, 2, x? 0.3 Let a be 3/((-72)/20) - 17/102. What is the smallest value in -2/7, -0.3, a, 2/7? a Let c = -0.118 - -38.118. What is the second smallest value in -0.4, c, -0.3, 1? -0.3 Let x = -1.6 + 1.4. Let j = x - 3.8. Let u = 2 + -1.9. What is the smallest value in 0.2, j, u? j Suppose 3*s = -y - y + 5, -3*s + 19 = -5*y. Let n = -0.12 - -0.051. Let q = n + -4.931. Which is the second biggest value? (a) y (b) q (c) -2/21 a Let l = -334 - -335. Let j = 4 + -5. Which is the biggest value? (a) j (b) -5 (c) l c Let k be 2/(-6) + 8050/(-147). Let c = k - -55. What is the second biggest value in -1/4, 5, -4, c? c Let o = -230/531 + -2/177. What is the second smallest value in -5, 23, o? o Let p = 53765 - 267639/5. Let y = -238 + p. Let t = 4.02 - 0.02. What is the second biggest value in 0, t, y? 0 Let j = 224 - 220. What is the fourth biggest value in j, 0.2, 5, 2/7? 0.2 Let i = 3.69 + 0.31. Let q = 17.5 + -17. Let x = -4.7 - 0.3. Which is the third smallest value? (a) i (b) q (c) x a Let r = 70.6 + -70.48. Which is the third smallest value? (a) 5 (b) r (c) -3 (d) 0 b Suppose -5*k + f + 113 = 0, 4*k - 48 = 2*k - f. Which is the second smallest value? (a) 1 (b) k (c) -1.3 a Let s = 0.065 - -28.935. Let d = 29 - s. What is the third smallest value in 4/7, 0.1, -1/7, d? 0.1 Suppose -7*d + 2*d + 25 = 0. Let r = 2/2955 + 656/985. What is the third biggest value in d, r, 2? r Let u = -4 - -8. Let k be 1 + -1 + -2*3/24. Which is the second biggest value? (a) u (b) -1/11 (c) k b Let l(w) = -3*w - 24. Let f be l(0). Let t be 6/(-8)*f/(-27). Let x be (-3)/(-6)*(-2)/11. Which is the second smallest value? (a) -3/4 (b) t (c) x b Let x = -221 + 217. Suppose 0 = z - 10*v + 5*v + 10, 3*v - 14 = -z. What is the third biggest value in z, x, -1? x Let u = 98.5 - 98.6. Which is the third smallest value? (a) u (b) -3 (c) -14 (d) 3 a Suppose -55*m = -50*m + 25, -4*m = 2*l + 24. Which is the third smallest value? (a) -2/3 (b) -6 (c) l a Let g = -18089 + 759701/42. Let r be 3 - (-2)/(-28)*52. Let i = r - g. What is the third smallest value in i, 6, -4/3? 6 Let s(v) = -v**2 + 3*v + 4. Let x be s(4). Let p = 2/93 - 200/651. Suppose 1 - 7 = 3*u - 3*h, 5*h = 4*u + 6. What is the third biggest value in x, u, p? u Let b = -0.1 - 0.9. Let t(m) = -m**3 + 7*m**2 - 4*m - 10. Suppose -3*u = -5*u + 12. Let f be t(u). What is the smallest value in 0.2, b, f? b Let k = -2 - -6. Let f = -161 - -161. Let n = f - k. Which is the second biggest value? (a) 3 (b) n (c) -1 c Let k = -9 + 9. Let y = -14.3 - -5.9. Let g = -8 - y. Which is the biggest value? (a) k (b) 2 (c) g b Let s = -40.88 - -0.88. Let f = 39.39 + s. Let n = f - -0.21. Which is the biggest value? (a) 1 (b) 5 (c) n b Let p = -249 - -254. What is the fourth biggest value in p, -20, -0.06, -2? -20 Let j = 1 - 0.6. Suppose 3*f + 3*q - 7*q = 14, -3*q - 2 = 2*f. Which is the biggest value? (a) -0.04 (b) j (c) f (d) -2/7 c Let j = 2.1 + -0.1. Let u = 0.5 + -0.16. Let g = -0.06 - u. Which is the third biggest value? (a) -3/8 (b) j (c) g c Let p = 354/235 + -52/47. What is the second smallest value in -83, p, -0.2, -1? -1 Let q be ((-2)/4)/((-6)/(-36)). Which is the second smallest value? (a) -4 (b) -0.42 (c) -1 (d) q d Let o = 1.2 - 1. Let p = 0.022 + 4.378. Let r = 0.6 + p. Which is the third smallest value? (a) -1/8 (b) o (c) r c Let o = -214 - -213. What is the third biggest value in -0.22, o, -3? -3 Let u be (-6 - -8)*501/30. Let n = u + -34. Which is the fourth biggest value? (a) 5 (b) 2/3 (c) -1/6 (d) n d Let w be (-1602)/(-189) - (-4)/(-6). Let y = -23/3 + w. What is the second biggest value in -4, y, 0.05? 0.05 Let m = -75 + 40. Let z = m - -30. Which is the smallest value? (a) -0.4 (b) z (c) -2/11 b Let s = -27.901 - 1.779. Let o = 0.32 - s. Let y = 34 - o. Which is the smallest value? (a) -3 (b) -0.2 (c) y a Let x = -297 - -301. Which is the third smallest value? (a) x (b) -0.11 (c) -2 (d) 3 d Let s = -0.23 + -14.77. Let t = 14 + s. Let n = -4 - -8. Which is the second smallest value? (a) -1/3 (b) t (c) n a Let t = -82.891 - 0.109. Let z = t - -82.7. Let d = -0.1 - -0.2. What is the biggest value in z, d, 15? 15 Let k = -85.65 - -86. Let v = k + -0.85. Which is the biggest value? (a) -3 (b) 3 (c) v (d) 0.02 b Let i be (-7)/(-14) - -4 - 5. What is the biggest value in 0.5, 5, i, -0.011? 5 Let s = -0.0601 + -2.9399. What is the third biggest value in -0.5, -2/15, -8, s? s Let a = -7 + 8. Let j = 1.28 - 1.3. Let f = -4.98 + j. What is the third smallest value in f, 3, a? 3 Let l = 2.92 - 2.72. What is the second smallest value in -5, -1/8, -0.75, l? -0.75 Let s(q) = q**3 + 5*q**2 + 4*q + 4. Let h be s(-4). What is the second biggest value in 1, 7, h? h Let k = 0.3 + -0.36. Let q = 18.46 + -18. Let h = k + q. What is the smallest value in h, 5, 3/2? h Suppose -5*g - 7 = -32. Suppose -5*l + 11 = -4*d + d, -g*d - 4*l + 31 = 0. Let u be 2 - (0/3)/d. Which is the third smallest value? (a) -0.2 (b) 0.2 (c) u c Let h = -6.1166 - -0.1166. Let k = 4 - 3. What is the third smallest value in h, k, 1/8? k Let k be ((-18)/(-231))/((-81)/(-189)). Let j = 5 + -5.3. Let f = 1.3 + j. Which is the third biggest value? (a) -3 (b) f (c) k a Let v = -0.685 + 0.57. Let h = v + -35.485. Let p = h - -36. What is the third smallest value in -2, -2/5, p? p Let m = 7.9 + -7.91. Let d = 14 - 14.9. Let c = d + 4.9. What is the third biggest value in c, m, -0.1? -0.1 Let j = 2961 - 2960.6. Let l = -1.5 - -1. Which is the second smallest value? (a) j (b) l (c) -2 b Let h = -16/23 - -190/207. Let l = -0.05 - 4.95. Which is the fourth smallest value? (a) -0.2 (b) l (c) h (d) -1 c Let u = -7.1485 - -0.1485. What is the second biggest value in u, 0.5, 1, 7? 1 Let z = 201 + -197. Let o = 0 + 0.08. Which is the smallest value? (a) o (b) z (c) 2 a Let a = -12.1 - -2.1. Let h = -10 - a. Let z = 0.23 - -0.07. What is the second biggest value in h, z, 0.5? z Let f = 0 + -0.3. Let l = 24.1 + -0.1. Let n = 25 - l. What is the biggest value in n, -0.2, f? n Let n = 73 + -73. What is the biggest value in -5, -2/29, n? n Let c = 7.8 + -8. Let f = c - -0.3. Let o = 3.6 - 4. What is the third smallest value in f, o, 5? 5 Let s = 27.2 - 26.2. Which is the biggest value? (a) -9/4 (b) 2 (c) s b Let x = -290.3 - -290. What is the third smallest value in 6, -5, x, 2? 2 Let c = -58 + 56. Let y be c/(-10) - (-708)/60. What is the second smallest value in y, 0, -2? 0 Let w = 160 - 157. Let y be w + ((-22)/8)/((-50)/(-40)). Let j = -2637/13 - -203. What is the second smallest value in j, 0.3, y? 0.3 Let z = 12.5 - 12.573. Let j = 2.133 + z. Let t = -0.06 + j. What is the second biggest value in -1/5, -4, t? -1/5 Let a = -14 + 15. Let t = -229/6 + 38. Suppose -4*v + 0*x - 17 = -3*x, 2*v = -x - 11. What is the smallest value in v, a, t? v Suppose 4*m + 2 = 3*m. Let s be -7 + 4 + 2/(-2). Let t be (-42)/(-30) - s/m. What is the second biggest value in -4, -0.1, t? t Suppose -21*w = -18*w - 6, u + w - 7 = 0. What is the smallest value in -0.3, u, 2/5? -0.3 Let j = -0.3468 - 0.0532. Suppose -o + 3*a + 0 = -11, -a = 4. What is the third biggest value in o, j, -2? -2
What is prob of picking 2 y when two letters picked without replacement from {y: 2, m: 16}? 1/153 Two letters picked without replacement from ecenceeecc. Give prob of picking 1 c and 1 e. 4/9 What is prob of picking 2 l and 2 w when four letters picked without replacement from wiwmvmhwmlilhhlw? 9/910 What is prob of picking 2 o when two letters picked without replacement from {o: 3, c: 3, h: 2, p: 2, r: 3}? 1/26 Three letters picked without replacement from nmmtinimmjnjnnijmjj. What is prob of picking 3 j? 10/969 What is prob of picking 2 p and 2 i when four letters picked without replacement from {o: 2, d: 2, i: 3, a: 2, p: 2, j: 1}? 1/165 Calculate prob of picking 1 c and 3 e when four letters picked without replacement from eapacppeeppc. 2/495 What is prob of picking 2 w and 1 b when three letters picked without replacement from bbbdbbwbdwdbbdd? 8/455 What is prob of picking 1 e and 1 a when two letters picked without replacement from {a: 7, n: 5, e: 4, v: 2}? 28/153 Calculate prob of picking 1 n and 1 o when two letters picked without replacement from {n: 1, q: 2, o: 4, z: 4}. 4/55 Two letters picked without replacement from yccbcgeemey. Give prob of picking 2 c. 3/55 Three letters picked without replacement from {n: 1, o: 5, u: 2, a: 1, w: 1}. What is prob of picking 1 u, 1 n, and 1 w? 1/60 Three letters picked without replacement from cwdcwwcfccgdgcpcc. What is prob of picking 2 w and 1 p? 3/680 What is prob of picking 1 z, 2 k, and 1 x when four letters picked without replacement from {k: 6, x: 1, z: 4}? 2/11 What is prob of picking 2 o and 1 v when three letters picked without replacement from ogrogoogkxvv? 3/55 Calculate prob of picking 1 j and 1 y when two letters picked without replacement from {q: 3, f: 2, x: 1, j: 1, y: 3, v: 3}. 1/26 Calculate prob of picking 1 u, 2 c, and 1 t when four letters picked without replacement from ytuguuutcuuc. 4/165 Calculate prob of picking 4 h when four letters picked without replacement from {g: 2, m: 3, h: 5}. 1/42 Four letters picked without replacement from {b: 2, g: 3, k: 3, m: 4, x: 1, a: 4}. Give prob of picking 2 b, 1 k, and 1 m. 3/595 Two letters picked without replacement from {k: 1, r: 5, l: 4}. What is prob of picking 1 l and 1 k? 4/45 Calculate prob of picking 2 y and 2 e when four letters picked without replacement from {e: 6, y: 6}. 5/11 Four letters picked without replacement from {k: 3, i: 5}. What is prob of picking 2 i and 2 k? 3/7 Four letters picked without replacement from dvvvvdvdvvvvvvvvvv. Give prob of picking 4 v. 91/204 Calculate prob of picking 2 r and 1 h when three letters picked without replacement from hrrh. 1/2 Four letters picked without replacement from {d: 2, k: 6, f: 1, h: 5, q: 5}. What is prob of picking 3 k and 1 d? 10/969 What is prob of picking 1 k, 1 e, and 1 j when three letters picked without replacement from vvvkedekvvdjjvvve? 3/170 What is prob of picking 1 e and 3 l when four letters picked without replacement from {l: 6, e: 4}? 8/21 Four letters picked without replacement from ppppcpppzpppppzpzpcp. Give prob of picking 3 z and 1 c. 2/4845 What is prob of picking 1 r, 1 c, and 1 g when three letters picked without replacement from {h: 1, g: 1, c: 1, f: 3, r: 7}? 7/286 Four letters picked without replacement from lrrrrrrrrrrlrrlrrl. What is prob of picking 2 l and 2 r? 91/510 Three letters picked without replacement from {s: 1, i: 2, m: 3, z: 3, g: 1, a: 3}. What is prob of picking 1 g and 2 m? 3/286 What is prob of picking 2 z and 1 q when three letters picked without replacement from azlqq? 0 What is prob of picking 1 o, 1 f, 1 b, and 1 a when four letters picked without replacement from {f: 1, a: 1, o: 2, b: 1}? 2/5 Three letters picked without replacement from {b: 1, k: 2, g: 1, j: 2}. Give prob of picking 1 g, 1 j, and 1 b. 1/10 Three letters picked without replacement from {j: 3, y: 11}. Give prob of picking 1 j and 2 y. 165/364 Three letters picked without replacement from {g: 1, z: 13, n: 3}. What is prob of picking 1 z and 2 n? 39/680 Calculate prob of picking 1 f and 1 y when two letters picked without replacement from {w: 1, q: 6, f: 1, h: 2, y: 9}. 1/19 Calculate prob of picking 1 p and 1 z when two letters picked without replacement from {z: 5, x: 8, p: 3}. 1/8 Calculate prob of picking 1 z and 2 f when three letters picked without replacement from qffifqfqfffqfziffqfk. 11/228 What is prob of picking 4 p when four letters picked without replacement from {s: 4, p: 16}? 364/969 Calculate prob of picking 2 l when two letters picked without replacement from kluxdwwxwwwwlwwdwx. 1/153 Two letters picked without replacement from dmdmsmddddrmmmmdmd. Give prob of picking 1 s and 1 m. 8/153 Calculate prob of picking 1 g and 1 k when two letters picked without replacement from gggkkkkkkhkkhkkkkhk. 13/57 Two letters picked without replacement from eehbghghitghhthehii. Give prob of picking 1 t and 1 e. 2/57 Calculate prob of picking 3 j when three letters picked without replacement from {y: 7, k: 2, z: 3, j: 4, t: 2}. 1/204 Three letters picked without replacement from ttyytyyh. Give prob of picking 2 y and 1 h. 3/28 Two letters picked without replacement from jwggb. Give prob of picking 1 b and 1 j. 1/10 Three letters picked without replacement from tooookttktoto. Give prob of picking 2 t and 1 o. 30/143 Calculate prob of picking 1 y and 1 o when two letters picked without replacement from ooooyoyyoooooooooy. 56/153 What is prob of picking 2 k when two letters picked without replacement from kkkkkqqkqkkqkkqkkkq? 26/57 Two letters picked without replacement from {g: 5, m: 2, s: 2, p: 4}. Give prob of picking 1 s and 1 p. 4/39 Two letters picked without replacement from adnan. Give prob of picking 2 n. 1/10 Two letters picked without replacement from dyd. What is prob of picking 2 d? 1/3 Calculate prob of picking 3 j and 1 t when four letters picked without replacement from toqljjbobtqbqq. 0 Calculate prob of picking 1 x and 1 o when two letters picked without replacement from qvqogoqqgqxoxxqbog. 4/51 Two letters picked without replacement from {y: 1, n: 1, m: 1, p: 2, j: 3, i: 3}. Give prob of picking 1 i and 1 p. 6/55 What is prob of picking 2 i and 1 j when three letters picked without replacement from {j: 7, s: 3, x: 1, g: 3, q: 2, i: 2}? 7/816 Three letters picked without replacement from {i: 6, z: 1, v: 2, f: 1, e: 3}. Give prob of picking 2 i and 1 v. 15/143 Two letters picked without replacement from {b: 3, c: 11, w: 2, o: 2, k: 1}. Give prob of picking 2 o. 1/171 Four letters picked without replacement from mllllmmmllmmllml. Give prob of picking 4 l. 9/130 Calculate prob of picking 4 p when four letters picked without replacement from {p: 5}. 1 Calculate prob of picking 2 a and 2 x when four letters picked without replacement from uaaaaauxuuuaaaxuuau. 3/323 Two letters picked without replacement from {o: 1, h: 1, l: 1, x: 3, f: 2, w: 3}. Give prob of picking 1 w and 1 f. 6/55 Two letters picked without replacement from {b: 5, l: 7}. What is prob of picking 2 b? 5/33 What is prob of picking 2 t when two letters picked without replacement from tvvtetevevetttvtv? 21/136 Three letters picked without replacement from {i: 11, h: 5}. What is prob of picking 3 h? 1/56 Calculate prob of picking 1 w and 1 s when two letters picked without replacement from {w: 4, s: 4, k: 1, i: 2}. 16/55 Calculate prob of picking 2 a, 1 h, and 1 x when four letters picked without replacement from rexahaxeerrxereahh. 3/340 What is prob of picking 1 m and 1 r when two letters picked without replacement from hmrmhihhrrmmrhrrhm? 10/51 What is prob of picking 1 x and 1 y when two letters picked without replacement from {x: 1, q: 4, y: 5, j: 1}? 1/11 Calculate prob of picking 2 u and 2 t when four letters picked without replacement from {t: 7, z: 2, u: 3}. 7/55 Two letters picked without replacement from zywzztwwzzzyyzzkzw. Give prob of picking 2 z. 4/17 Calculate prob of picking 2 o when two letters picked without replacement from {g: 4, o: 2}. 1/15 Three letters picked without replacement from {d: 2, k: 3, t: 3, h: 5, e: 2}. Give prob of picking 1 h, 1 t, and 1 k. 9/91 Calculate prob of picking 2 b and 1 g when three letters picked without replacement from ccigbggbbgcccbg. 6/91 Two letters picked without replacement from {n: 5, g: 8}. Give prob of picking 1 g and 1 n. 20/39 Calculate prob of picking 2 y when two letters picked without replacement from qqyyq. 1/10
Let r = -5/71 - -217/1065. Let n(d) = -d**3 - 6*d**2 + d + 8. Let t be n(-6). What is the third smallest value in r, t, -1/3? t Let f = -49.5 + 50. Let h = 212 - 1910/9. What is the second biggest value in h, f, 0? 0 Let z(r) = r**3 + 9*r**2 + r + 2. Let n be z(-9). What is the third smallest value in -0.5, n, 5? 5 Suppose 6*z - 50 = z. Let q(m) = -m**2 + 10*m - 2. Let t be q(z). Let w be (t + 1)*-5 - 2. Which is the third smallest value? (a) 0.4 (b) w (c) -0.1 b Let d = 0 + -3. Let x = -0.1 + 0.2. Let o = -0.3 - x. Which is the third smallest value? (a) o (b) d (c) -2 a Let q = 22 - 26. Which is the third smallest value? (a) q (b) -2 (c) 1/3 c Let a = 9 - 16. Let k = a - -5. What is the second biggest value in k, 0.5, 5? 0.5 Let m = 5.994 + 0.006. Which is the fourth smallest value? (a) m (b) 2 (c) 0.4 (d) -0.3 a Let i = 40.3 - 40. What is the second biggest value in 5, -2, 0, i? i Let f = -0.1 - -0.1. Let z = -0.2 - f. Let y = 0.2 - 0.7. Which is the third smallest value? (a) 3 (b) z (c) y a Let l be 22/24 - (-3)/(-12). Let w = -0.7 - -0.2. Let v = 4.6 + -0.6. Which is the second biggest value? (a) v (b) l (c) w b Let j = 2.5 + -3.5. Suppose -g + 4*z - 5 = 0, -2*g = -z + 2*z + 10. Which is the biggest value? (a) j (b) -0.5 (c) g b Let p be (3 - (-28)/(-10))*-4. What is the second biggest value in -2/13, p, 0.2, -0.5? -2/13 Let d = 78 - 148. Let b be -1 - (-1263)/18 - -1. Let o = d + b. What is the biggest value in o, 1/2, -1/4? 1/2 Let u = -1/22 - -6/11. Which is the third biggest value? (a) -2 (b) 0 (c) u a Suppose -5*w - w - 30 = 0. Which is the second biggest value? (a) w (b) -0.4 (c) 0.3 b Let x = 12 - 7.2. Let u = x + -5. Which is the third smallest value? (a) u (b) 0.2 (c) -2/13 b Let y(f) = -2 - 2*f + 9 - 4. Let s be y(3). Which is the second smallest value? (a) 0.4 (b) 1/2 (c) s a Let x be 1 + 9/12 + 0. Let v = 2 - x. Which is the third biggest value? (a) -2/7 (b) v (c) -0.4 c Let w = -2.2 - -1.2. Let u = 0 - 0.1. What is the biggest value in u, w, -3? u Let p(g) = -5*g - 3. Let k be p(-3). Let n be 6/(-2) - (-2 + 1). Let s be 6/(-4)*n/k. What is the second biggest value in 0.1, s, -2/19? 0.1 Let m be -9*(-4)/(-60)*-2. Let b = -107/3 + 35. What is the third smallest value in b, 0, m? m Let z = -0.1 - 0.1. Suppose -19*w + 15*w - 20 = 0. Let t be 4*1*3/(-18). Which is the second smallest value? (a) w (b) t (c) z b Suppose -29 = 5*v - 104. Let u be (-2502)/v*(-10)/(-17). Let y = u - -98. What is the biggest value in 1/3, -0.2, y? 1/3 Let q = -26/11 - -2. Let x = -0.63 + 0.23. Which is the second biggest value? (a) 4 (b) q (c) x b Let t = 4 + -3.7. Let s = 0 - t. Let o = 1.3 - 1. Which is the smallest value? (a) s (b) 2 (c) o a Let l be ((-9)/(-8))/(-7 + 4). What is the second biggest value in -0.3, l, -1? l Let m = -11 + 12.4. Let q = m + -0.4. Let w = -5.6 - -6. Which is the second smallest value? (a) w (b) -5/3 (c) q a Let o = -6.8 + 7. Which is the second smallest value? (a) 4 (b) o (c) 5 a Let s = -1.4 - -0.8. Let r = 1 + -1.1. Let v = s - r. Which is the biggest value? (a) 4 (b) -3 (c) v a Let o = -35 + 84. Let v = 52.9 - o. Let w = v - 4. What is the biggest value in w, -3, -4? w Let g = -40 - -46. Which is the second biggest value? (a) -4 (b) g (c) 1/8 c Let p = -15.6 - -16. Let u = -0.28 - 0.02. What is the second smallest value in u, 5, p? p Suppose 2*l = -3*u - 3*l + 18, 2*u + 2*l - 12 = 0. What is the third biggest value in -0.1, -1, -2, u? -1 Let p be (-2)/9 - 4/(-18). Which is the biggest value? (a) -3/4 (b) p (c) 3/4 c Let r = 24 - 20. What is the third smallest value in -2, 3, r? r Let z(s) = -s. Let q(f) = 4*f + 5. Let v(l) = q(l) + 3*z(l). Let x be v(-4). Let d be (x + 1)*(-1)/5. Which is the third smallest value? (a) d (b) -4 (c) 0.2 c Let p = 8.04 + -0.04. Let q = -8.4 + p. Let g = 130 - 914/7. What is the second biggest value in q, 2/13, g? q Let r = -23 + 23.1. What is the third biggest value in -0.04, -2, 0, r? -0.04 Let j be (-1)/(-51) + 1/3. Let x = -29/34 + j. Let y be 2/(1*(-2)/5). What is the biggest value in x, -1/7, y? -1/7 Let x = 0.12 + 0.88. Let w = x + 0. Suppose 5*l = 26 - 6. Which is the second biggest value? (a) l (b) w (c) -0.2 b Let f = 5 - 5.3. Let y be 1 + 2 + 355/(-36). Let x = y + 27/4. Which is the biggest value? (a) f (b) 2 (c) x b Let r = 13 + -9. Let m be 0/(-2) - (-1)/r. Which is the third smallest value? (a) -2/7 (b) -4 (c) m c Let y = -45/2 + 21. Which is the third biggest value? (a) y (b) -4/5 (c) -4/3 a Let i = -0.153 + 33.753. Let q = -30 + i. Let x = 0.6 - q. What is the third smallest value in -2/5, -0.3, x? -0.3 Let f = -2.138 + 0.028. Let i = 0.11 + f. Which is the third smallest value? (a) i (b) 1/6 (c) 0 b Let j = -17 - -15. What is the smallest value in j, 0.3, -2/3? j Let i = 1 + 3. Let s = i + -9. Which is the smallest value? (a) 5 (b) s (c) -4 b Let f = -25.5 + 26. Which is the second biggest value? (a) f (b) 3 (c) -4 a Let j = 15 + -10. What is the second biggest value in j, 1/4, -1/4? 1/4 Let l be 2 - 3 - 68/(-620). Let t = -9/31 - l. Let n = 0.8 + -5.8. What is the smallest value in n, t, 1/7? n Let w = 48 + -47.8. Let r = -2 + 1.5. Suppose 20 = 8*q - 4*q. Which is the smallest value? (a) r (b) q (c) w a Let w = 0.29 - -0.01. Let c = 0 - w. What is the smallest value in c, 1/4, 2? c Suppose 0 = 5*l - 4*k + 19, k - 2*k + 1 = 0. Let n = l + 3. Which is the smallest value? (a) 3 (b) -1 (c) n b Let p = 14 + -10. Let f be (-6)/(-9) + p/(-6). What is the smallest value in 1, f, -2/5? -2/5 Let j be ((-4)/(-2))/(-4)*-1. Let h = 6 + -5.7. Let c be (1 - 1) + (-4)/(-14). What is the third smallest value in h, c, j? j Suppose 2*f + 4 = 4*f. Let s be 1 - (f/(-2) - 2). Suppose 0 = -5*l - 10, -5*v + 16 = l - s*l. Which is the second biggest value? (a) v (b) -1/5 (c) 0.4 c Let z be 12/16*2/6. Let u = 1 - 1. Suppose h = -4 - u. Which is the second smallest value? (a) z (b) -0.2 (c) h b Let t = 6 - 7. Let x = t - -4. What is the second biggest value in x, -0.5, -3? -0.5 Let i = -0.03 + 0.03. Let d = 0.6 + i. Let x = -0.3 + d. Which is the third smallest value? (a) -3/4 (b) x (c) 1/3 c Let g = -14 + 8. Let s = -4 - g. What is the third biggest value in -2, 1/4, s? -2 Suppose 0*p - 5*p + 16 = 4*j, -3*p = -4*j + 16. Let z(s) = s**3 - s + 2. Let k be z(p). What is the second smallest value in k, -0.5, 3? k Suppose 4*m = -11 + 3. Which is the fourth smallest value? (a) m (b) 4 (c) -2/21 (d) 0.3 b Let o = -0.22 + -0.08. Let q = -0.6 - -0.8. Which is the second biggest value? (a) o (b) q (c) 2/7 b Let d = 39 - 51. Which is the second biggest value? (a) -3 (b) d (c) 1 a Let y = 0.05 - 0.05. Let o = y - 0.3. Let d = 8 + -10. What is the biggest value in o, d, 2? 2 Let q = -0.04 - -5.04. Which is the second smallest value? (a) -3 (b) -1/8 (c) q b Let a = -90 + 541/6. What is the second biggest value in a, 3, -4/7? a Let w be -1 + (-1*1)/(-6). Let m = -0.32 - -0.32. What is the biggest value in 2/3, w, m? 2/3 Suppose 4*q + 4 = -2*h + 4*h, 4*q + 6 = 3*h. Suppose q = -0*l - 4*l. Let p be (-2)/(l - (-2 + 1)). Which is the biggest value? (a) 0.5 (b) 5 (c) p b Let u be 5*(-5 - -4)/1. Which is the smallest value? (a) 4 (b) u (c) -0.2 b Let d(m) = -m**3 + 5*m**2 + 6*m + 6. Let r be d(6). Suppose -r = w - 1. Let g = -2 + 1. Which is the smallest value? (a) w (b) -4 (c) g a Let u = -1229/10 + 123. What is the second biggest value in u, 2/3, 0.3, -1/4? 0.3 Let x be (1 - -2)*4/6. Let w be (0 - 0)*(-1)/x. Suppose w*y - 5*y + 15 = 0. Which is the third smallest value? (a) y (b) -0.3 (c) 1 a Let q = -2.93 + -0.07. Let f = -0.073 - -0.373. Let t = -7 - -2. Which is the biggest value? (a) q (b) f (c) t b Let d = 12.9 + -13. Which is the smallest value? (a) d (b) 1 (c) -1 c Let y be (-2)/13 - 15/156. Which is the second biggest value? (a) 1 (b) 0.4 (c) y b Let p be (-1)/(-8)*(3 + -1). Let j = -50 - -46.11. Let o = j - 0.11. What is the third biggest value in p, 4, o? o Let h = 18.65 + 0.35. Let g = h - 19. Which is the third smallest value? (a) g (b) 1/3 (c) 3 c Let w = 0.3 + -0.4. Let a = 8 - 4. What is the third smallest value in a, 0.1, w? a Let u be (-4)/(-14)*(-6)/15. Let r = u - 2/7. Let n be -4*(-5)/(-130) - 30/(-26). Which is the biggest value? (a) n (b) r (c) -2 a Let y be -2*1 + -14*94. Let z = -3998/3 - y. Let s = z + 14. Which is the second biggest value? (a) s (b) -3/2 (c) -1 c
How many millilitres are there in 53/5 of a litre? 10600 What is one quarter of a litre in millilitres? 250 Convert 3284.572 years to centuries. 32.84572 How many millilitres are there in 29.587l? 29587 How many grams are there in 49.96209 nanograms? 0.00000004996209 What is 34/5 of a millennium in years? 6800 How many minutes are there in twenty-one quarters of a week? 52920 What is 3/8 of a litre in millilitres? 375 What is 913034.2 decades in months? 109564104 Convert 86.30132 centuries to months. 103561.584 How many minutes are there in 3/5 of a week? 6048 What is 27.596475 months in years? 2.29970625 What is 691.0872 millennia in years? 691087.2 What is 7.18297 days in nanoseconds? 620608608000000 How many minutes are there in three eighths of a week? 3780 Convert 34200.31t to kilograms. 34200310 How many kilograms are there in 56942.38ug? 0.00005694238 Convert 2.675951 days to seconds. 231202.1664 What is three eighths of a litre in millilitres? 375 How many millilitres are there in 5/4 of a litre? 1250 What is 6131.559 days in minutes? 8829444.96 What is three eighths of a millennium in years? 375 Convert 37378.02 litres to millilitres. 37378020 How many microseconds are there in 7.598517 milliseconds? 7598.517 What is three eighths of a week in hours? 63 How many minutes are there in 5/14 of a week? 3600 How many nanograms are there in one twentieth of a microgram? 50 How many kilograms are there in 3/5 of a tonne? 600 Convert 35.18165ng to kilograms. 0.00000000003518165 What is 18/5 of a kilogram in grams? 3600 How many months are there in three fifths of a millennium? 7200 What is 0.2638262ml in litres? 0.0002638262 How many millilitres are there in 3/25 of a litre? 120 Convert 48687.74l to millilitres. 48687740 What is seven eighths of a millimeter in micrometers? 875 Convert 151.38109 days to weeks. 21.62587 How many millilitres are there in eleven tenths of a litre? 1100 What is twenty-one halves of a minute in seconds? 630 What is 4097.857 grams in nanograms? 4097857000000 What is twenty-nine halves of a gram in milligrams? 14500 How many years are there in 131.7089 decades? 1317.089 What is 11/10 of a millimeter in micrometers? 1100 How many years are there in three eighths of a millennium? 375 Convert 82907061.3us to weeks. 0.00013708178125 What is 299.8743nm in centimeters? 0.00002998743 What is seven halves of a meter in millimeters? 3500 What is 31/2 of a litre in millilitres? 15500 How many litres are there in 0.8651456ml? 0.0008651456 What is 346.9121mm in kilometers? 0.0003469121 Convert 5.991921 litres to millilitres. 5991.921 How many minutes are there in seven thirds of a week? 23520 What is 29/3 of a minute in seconds? 580 What is 5/6 of a day in minutes? 1200 What is twenty-seven quarters of a meter in millimeters? 6750 How many millennia are there in 39.84626 years? 0.03984626 How many nanograms are there in 55.70865ug? 55708.65 What is six fifths of a minute in seconds? 72 Convert 603.4904 decades to years. 6034.904 Convert 762.2246 litres to millilitres. 762224.6 How many kilometers are there in 9722.01 meters? 9.72201 What is 0.5553692cm in kilometers? 0.000005553692 How many milliseconds are there in 802960.8 nanoseconds? 0.8029608 What is 2652.372 weeks in minutes? 26735909.76 What is 3.518947 litres in millilitres? 3518.947 Convert 178.8708 months to centuries. 0.149059 Convert 4027.165 millilitres to litres. 4.027165 What is 27/5 of a kilogram in grams? 5400 What is 48/5 of a gram in milligrams? 9600 What is seven eighths of a litre in millilitres? 875 What is thirteen fifths of a decade in years? 26 How many weeks are there in 107925.8418ns? 0.0000000001784488125 Convert 6.579978l to millilitres. 6579.978 Convert 23922.07m to millimeters. 23922070 What is one quarter of a tonne in kilograms? 250 What is 25/4 of a milligram in micrograms? 6250 How many micrograms are there in 3/5 of a milligram? 600 How many kilograms are there in 1/20 of a tonne? 50 What is 46445.76 days in seconds? 4012913664 How many seconds are there in nine tenths of a minute? 54 What is 8228.536 centimeters in micrometers? 82285360 What is 26/5 of a meter in centimeters? 520 What is five quarters of a litre in millilitres? 1250 Convert 91430.36 years to millennia. 91.43036 How many kilometers are there in 2282.77um? 0.00000228277 How many years are there in 1/5 of a decade? 2 How many millilitres are there in five eighths of a litre? 625 Convert 57.83172 years to millennia. 0.05783172 How many seconds are there in 8215.451 weeks? 4968704764.8 What is 0.4338499 nanometers in kilometers? 0.0000000000004338499 What is 66115.82ml in litres? 66.11582 How many centimeters are there in 0.1094668um? 0.00001094668 How many weeks are there in 9920.14317 nanoseconds? 0.000000000016402353125 What is 8605.497l in millilitres? 8605497 What is 8937.816 decades in millennia? 89.37816 What is seven eighths of a litre in millilitres? 875 Convert 76.49477 millennia to decades. 7649.477 How many millilitres are there in 21/8 of a litre? 2625 How many tonnes are there in 16.95678 micrograms? 0.00000000001695678 How many micrometers are there in 54/5 of a millimeter? 10800 What is 3/5 of a century in decades? 6 How many millilitres are there in 3/10 of a litre? 300 What is twenty-nine sixths of a year in months? 58 How many millennia are there in 12282.66 decades? 122.8266 What is one sixth of a millennium in months? 2000 What is 4195.69 litres in millilitres? 4195690 What is 4/15 of a minute in seconds? 16 What is 3/40 of a microgram in nanograms? 75 What is 5/4 of a litre in millilitres? 1250 What is 0.2819882 decades in months? 33.838584 Convert 57.15685 days to nanoseconds. 4938351840000000 What is 9/10 of a millennium in decades? 90 Convert 805757.6ug to kilograms. 0.0008057576 How many months are there in 1/4 of a millennium? 3000 How many millilitres are there in fifty-four fifths of a litre? 10800 How many nanograms are there in 7/8 of a microgram? 875 What is six fifths of a millennium in months? 14400 How many litres are there in 5297.935 millilitres? 5.297935 What is fifty-one quarters of a kilogram in grams? 12750 How many hours are there in eight thirds of a day? 64 What is 0.2505011 millilitres in litres? 0.0002505011 How many grams are there in thirty-one fifths of a kilogram? 6200 How many micrograms are there in 2.45689 nanograms? 0.00245689 What is 3.055858 micrograms in grams? 0.000003055858 What is 3/5 of a centimeter in millimeters? 6 Convert 0.9645988 nanometers to micrometers. 0.0009645988 How many decades are there in 50505.19 years? 5050.519 What is 71.95492mm in micrometers? 71954.92 Convert 0.2699745 kilograms to tonnes. 0.0002699745 How many kilograms are there in 71.74879t? 71748.79 Convert 68.18581 millilitres to litres. 0.06818581 How many minutes are there in 2/15 of a day? 192 How many hours are there in 4/3 of a week? 224 What is 3/5 of a milligram in micrograms? 600 Convert 0.6157761s to milliseconds. 615.7761 Convert 69.20782um to kilometers. 0.00000006920782 Convert 4114.388l to millilitres. 4114388 How many days are there in 8.3199042s? 0.0000962951875 How many milligrams are there in 42/5 of a gram? 8400 Convert 9.647977us to nanoseconds. 9647.977 What is seven halves of a litre in millilitres? 3500 How many tonnes are there in 79968.94ug? 0.00000007996894 What is 3/25 of a century in years? 12 Convert 8783.543 millennia to decades. 878354.3 What is 1.654521 months in decades? 0.013787675 How many micrometers are there in one tenth of a millimeter? 100 What is thirteen eighths of a kilometer in meters? 1625 How many minutes are there in 236.27763 milliseconds? 0.0039379605 What is eighteen fifths of a millisecond in microseconds? 3600 What is thirty-one halves of a milligram in micrograms? 15500 Convert 951168.6 years to months. 11414023.2 How many milliseconds are there in five eighths of a minute? 37500 How many grams are there in 64.57895ug? 0.00006457895 How many meters are there in 59134.68cm? 591.3468 What is 105858.18 microseconds in hours? 0.00002940505 How many seconds are there in 865.8357 minutes? 51950.142 How many milligrams are there in 1/10 of a gram? 100 What is 6/5 of a meter in centimeters? 120 How many millimeters are there in 0.1530056 micrometers? 0.0001530056 How many decades are there in 637.617 years? 63.7617 What is seventeen quarters of a micrometer in nanometers? 4250 How many micrograms are there in 13/5 of a milligram? 2600 Convert 1314.264 millilitres to litres. 1.314264 How many grams are there in three tenths of a kilogram? 300
What is the closest to -2 in 0.01, -2/7, 2, -25? -2/7 Which is the closest to 0? (a) 0.4 (b) -0.3 (c) 0.2 (d) -1/10 d Which is the closest to -0.2? (a) 0 (b) 3/2 (c) -0.1 c Which is the nearest to 0? (a) -275.6 (b) 0.1 (c) -3 b What is the nearest to -0.3 in -3/2, 0.06, -9, 5? 0.06 What is the nearest to 0.3 in -13/4, -5/4, -1, 0.2? 0.2 Which is the nearest to 0.04? (a) 19.4 (b) 4/9 (c) -6/5 b What is the closest to -2 in -15, 5, 16? 5 Which is the closest to 3? (a) -50 (b) 6 (c) 2/13 c Which is the closest to 2/3? (a) 2/7 (b) -4 (c) 29 a What is the nearest to 2/3 in 3/2, 2.4, 94? 3/2 What is the closest to -5/6 in -3, 3, -1/2? -1/2 Which is the nearest to 3/5? (a) 3/5 (b) -0.4 (c) 0.3 (d) 0.22 a What is the nearest to -5 in -4, -0.04, -2, 2? -4 Which is the closest to -1? (a) -4.1 (b) 0.5 (c) -11 b What is the nearest to -2/11 in 2, 57, -4/3, 1? -4/3 What is the closest to 1 in -4, 0.1, 30/7? 0.1 Which is the nearest to 2? (a) -7/8 (b) -3/2 (c) 0.1 c What is the nearest to -21 in -1, 0.7, 3, -1/7? -1 Which is the closest to -2/3? (a) 3 (b) -1 (c) -2/31 (d) -1.5 b Which is the closest to 1.1? (a) -0.05 (b) -6/5 (c) -2 (d) 3 a Which is the closest to 0.3? (a) -1.9 (b) 0.2 (c) 2/13 (d) 1/3 d Which is the nearest to 1/7? (a) -0.2 (b) -15 (c) -5 (d) -5/3 a What is the closest to -1 in -1, 0, 0.8, -6/5? -1 Which is the closest to 0? (a) 1/3 (b) -2 (c) 0 (d) -60 c What is the nearest to 0.43 in -4/7, 0.08, 1? 0.08 What is the nearest to -0.1 in 3/10, 1/2, 2/789? 2/789 What is the nearest to 0 in -2, 1/5, 5, -0.01? -0.01 Which is the closest to 0.1? (a) 8 (b) 4 (c) 0.2 c Which is the closest to 1? (a) -0.1 (b) 2.8 (c) 4/7 c What is the nearest to 0 in -1/10, 2/11, -1? -1/10 Which is the nearest to 1? (a) -4 (b) 2 (c) -0.04 (d) 0.1 d Which is the nearest to 9? (a) -0.5 (b) 1/12 (c) 2 (d) -5 c What is the closest to -4/5 in -0.4, -72, 0.2, -0.2? -0.4 Which is the nearest to 1? (a) 0 (b) -1/6 (c) -4 (d) -14 a What is the closest to 2 in 42, -4, 2/15? 2/15 What is the closest to 0 in 3, -139, 1? 1 Which is the closest to -6/29? (a) -0.06 (b) 4 (c) -3 a Which is the nearest to -1/5? (a) -0.4 (b) 4 (c) 38 a Which is the closest to 0? (a) 97 (b) 5 (c) 1 (d) 0.5 d What is the closest to 1/5 in -0.3, -0.4, -2, -27? -0.3 Which is the nearest to -0.03? (a) -5 (b) 37 (c) -4 c Which is the closest to -3? (a) 2/5 (b) -1/6 (c) -0.25 c What is the closest to 101 in 11, -8, 0? 11 Which is the closest to -0.1? (a) -4.2 (b) 1 (c) -2/11 (d) 0 c What is the nearest to 3/4 in 1, 4, -0.04, -3/26? 1 What is the closest to -2 in 14, 0.3, 2, -2/9? -2/9 Which is the closest to -0.11? (a) 17 (b) -0.01 (c) 1 b Which is the closest to 2/7? (a) 0.68 (b) -1/26 (c) 0.4 c What is the closest to 0.2 in 3/8, 13, 1? 3/8 Which is the nearest to -23? (a) -1/3 (b) -0.12 (c) -5 c What is the nearest to -2/7 in 0.1, -2/521, 3/4, 0.5? -2/521 What is the nearest to 0 in 0.07, 0.3, 3, 0? 0 Which is the closest to -15? (a) 2/5 (b) -0.04 (c) 3 (d) 4 b Which is the closest to 0? (a) -1/4 (b) -5 (c) 23 (d) 20 a What is the nearest to -0.2 in -3, 0.2, 13, 0.1? 0.1 Which is the nearest to -0.08? (a) -2/15 (b) 75/4 (c) -0.2 a Which is the closest to -0.1? (a) -0.4 (b) -8 (c) 2/3 (d) 6 a What is the nearest to -0.2 in -3, 0.1, 15, -0.4? -0.4 Which is the nearest to 1? (a) 4 (b) -5 (c) -3 (d) -1/9 d Which is the closest to -0.1? (a) -2/13 (b) -1/2 (c) 6 (d) -0.05 d Which is the closest to 1/54? (a) 1/4 (b) -2/7 (c) 0.2 (d) 0.1 d Which is the closest to 0.2? (a) -0.03 (b) -0.11 (c) 2/5 (d) -4 c What is the nearest to -2/3 in 0.2, -4, 0.12, 0.5? 0.12 Which is the closest to -0.4? (a) -1/5 (b) -2/7 (c) -38 b What is the nearest to 1 in 3, -0.4, 7, -0.1? -0.1 What is the nearest to -6/13 in -3, 0.5, 0.01? 0.01 Which is the nearest to 62? (a) -0.5 (b) 2 (c) 3 (d) -1/9 c Which is the nearest to -1/12? (a) -3 (b) -4 (c) 1/19 (d) 2 c What is the nearest to 0 in 2/7, 16/3, 0.3, 68? 2/7 Which is the nearest to 2? (a) 3 (b) -3/5 (c) -3 (d) 0.02 a What is the closest to 8.6 in -0.4, 0, -16, -2? 0 What is the closest to 9 in -3/10, 0.5, 0.1, -3? 0.5 Which is the closest to -2/5? (a) -4/13 (b) 5/2 (c) -26 a What is the closest to 1 in -1/5, 3/2, -0.1, -5? 3/2 What is the closest to -2 in -2/5, -0.2, -1/70? -2/5 What is the closest to 0 in -0.412, 2/5, -3? 2/5 What is the closest to -0.02 in 0, 0.4, -1, -5/2? 0 Which is the nearest to 11? (a) -4 (b) -1 (c) -9 (d) 2/9 d What is the nearest to 3 in -4, 3, 0.02, 2? 3 Which is the closest to 1/3? (a) 11 (b) 4 (c) 2.1 (d) 0.4 d What is the nearest to 19/5 in -0.3, 31, -0.4? -0.3 What is the nearest to 5 in 1/6, 0, -3/11? 1/6 What is the closest to 0.3 in -2, -11/3, -2/7? -2/7 What is the closest to -1/5 in -4, -0.06, -2, 3? -0.06 Which is the closest to 0? (a) 1/5 (b) 5 (c) 12 a Which is the closest to -1/5? (a) 5 (b) -1 (c) -4/5 (d) 4 c Which is the closest to -1/4? (a) 1 (b) -5 (c) -1/4 (d) -1 c What is the closest to -2 in 0.11, -0.5, 0.4, -8/3? -8/3 What is the closest to 2 in -6/5, -0.105, -1, -0.4? -0.105 Which is the nearest to 10? (a) 0.3 (b) 9 (c) 5 b What is the nearest to 4/3 in -41/5, 0.2, 1/2? 1/2 Which is the closest to -2/5? (a) 5 (b) -1/18 (c) 25 b What is the nearest to 3 in -34/5, 1, 4, -3? 4 What is the nearest to -1/3 in 8.1, 0, 1? 0 Which is the nearest to -0.1? (a) 3/100 (b) -4 (c) 1 (d) 1/10 a Which is the closest to -2/7? (a) -62 (b) 2 (c) -1 c What is the nearest to 0.1 in 0.1, -0.2, -0.3, 3? 0.1 Which is the nearest to 0.2? (a) -0.45 (b) 0 (c) -4 (d) 3 b Which is the nearest to 3/7? (a) 7 (b) -1/8 (c) 0.49 c Which is the nearest to 0? (a) -2/1289 (b) 4 (c) -1 a Which is the closest to 7? (a) 5 (b) -0.3 (c) 0.1 a Which is the closest to -2? (a) 2.2 (b) 5/6 (c) 4 b Which is the closest to -7/3? (a) -2/13 (b) -7 (c) 0.4 a Which is the nearest to 8? (a) 13 (b) -4 (c) -0.5 a What is the nearest to -1/3 in 4, -0.08, 1/2? -0.08 What is the closest to 0 in -3, 0, -90, 3/4? 0 What is the nearest to -1 in -4/3, 4, -0.5, 0.4? -4/3 What is the nearest to 1/5 in 0.2, -7/6, -1/4, 0.1? 0.2 Which is the closest to -5/3? (a) -1/25 (b) -5 (c) -1 c Which is the closest to 3/2? (a) -4 (b) 0.07 (c) 3 b Which is the nearest to -0.21? (a) -10 (b) 3 (c) -4 b Which is the nearest to -1? (a) -1/11 (b) -1/16 (c) 6/13 a Which is the closest to 0.0627? (a) 1/4 (b) -0.3 (c) -1/2 (d) 0 d Which is the closest to -33? (a) -1 (b) 5 (c) 2/3 a What is the nearest to -189 in -10, -0.2, -0.4, -2? -10 Which is the closest to 3? (a) -0.3 (b) -0.2 (c) -3/16 c Which is the closest to 0.1? (a) -11.3 (b) -0.3 (c) 0 (d) 4 c Which is the nearest to -0.1? (a) 1 (b) -3 (c) -1 (d) 10 c What is the nearest to -3 in -4/5, 4, -5/3, -8? -5/3 What is the nearest to 0.05 in 0.1, 4/5, 0.5, 1? 0.1 What is the closest to -16/3 in 4, 1, 2/15? 2/15 Which is the nearest to 2/3? (a) -3 (b) -16 (c) 2/5 (d) -0.1 c Which is the nearest to -2/3? (a) -8 (b) -0.14 (c) -1 (d) -2/7 c Which is the nearest to -2? (a) 4 (b) 9 (c) -3 (d) -2 d Which is the closest to -2/5? (a) 4 (b) 104 (c) 2/27 c What is the nearest to 0.4 in 2/11, -49/5, -4, 5? 2/11 Which is the closest to 0.1? (a) 4 (b) 1 (c) -3/2 (d) 38 b What is the closest to -1/3 in -2/15, 3/2, -30? -2/15 Which is the nearest to 0.5? (a) 2 (b) -0.3 (c) 2/15 (d) 0.2 d What is the nearest to -0.9 in -1, -4, -0.4, 0.4? -1 What is the closest to -2/9 in -21, -5, -51? -5 Which is the closest to -1/4? (a) -2/7 (b) -1/3 (c) -2/11 a Which is the nearest to -0.02? (a) -0.3 (b) -2/21 (c) -4 (d) 3 b What is the nearest to -0.4 in -1, 0.5, 4, 1? -1 What is the closest to 1 in 15/2, 0, 4/7? 4/7 Which is the nearest to 0.2? (a) 0.4 (b) 0.3 (c) -135 b Which is the nearest to -2/5? (a) -79 (b) -2 (c) 0.3 c Which is the nearest to 20? (a) -4 (b) 3 (c) -3 b Which is the closest to -1/3? (a) -0.2 (b) -0.5 (c) 88 (d) -3/2 a Which is the closest to 4? (a) -3/11 (b) -0.2 (c) -7 (d) 5 d What is the nearest to -2/9 in -1/2, -0.12, 5, 0.09? -0.12 Which is the closest to -1? (a) 1 (b) 1/2 (c) -1/5 (d) -2/55 c Which is the closest to -1/3? (a) -18/11 (b) -6 (c) -2/3 c Which is the nearest to -0.2? (a) -0.1 (b) -1 (c) -1/2 (d) -186 a Which is the nearest to 3? (a) -4 (b) -11 (c) 5 c What is the nearest to -60 in -0.3, -2/21, 1/8? -0.3 What is the closest to 1/2 in 0.5, -1, -0.4, -2/3? 0.5 Which is the closest to 1? (a) 0.3 (b) 2/39 (c) 6 a
Solve 3*g + 292 - 304 = 0 for g. 4 Solve -57 - 38 = 19*z for z. -5 Solve 0 = 13*j + 31*j - 264 for j. 6 Solve 10 = -8*g - 38 for g. -6 Solve 3*c = 3*c + c for c. 0 Solve -18*k + 30*k = 36 for k. 3 Solve -5*f - 4187 + 4162 = 0 for f. -5 Solve -13*x = -11*x + 8 for x. -4 Solve -45*u + 91 - 46 = 0 for u. 1 Solve 0 = -17*k - 2 - 32 for k. -2 Solve -9*l = -2143 + 2161 for l. -2 Solve y + 267 = 90*y for y. 3 Solve 25 = 13*v + 116 for v. -7 Solve -46*u = -50*u + 8 for u. 2 Solve 0 = 4*k + 27 - 27 for k. 0 Solve 0 = -15*q - 13 - 17 for q. -2 Solve 10*g + 3689 = 3759 for g. 7 Solve 3*z + 1691 - 1667 = 0 for z. -8 Solve 0 = 25*i + 65 + 35 for i. -4 Solve -8*y + 15 = -25 for y. 5 Solve -115*a - 9 = -124*a for a. 1 Solve 0 = 18*o - 65 - 43 for o. 6 Solve 8 = -1838*i + 1834*i for i. -2 Solve -16*n - 20*n = -72 for n. 2 Solve 0 = -12*i - 3 - 93 for i. -8 Solve -17 = -8*w - 57 for w. -5 Solve 0 = 18*k + 55 - 1 for k. -3 Solve 2*h = -255 + 261 for h. 3 Solve -93 + 137 = 11*w for w. 4 Solve g - 5*g = 8 for g. -2 Solve 3*d = -0*d + 9 for d. 3 Solve 16*z - 20 = 20*z for z. -5 Solve 257*t - 263*t = -30 for t. 5 Solve -15 = 31*p - 36*p for p. 3 Solve -5*g - 14 = -29 for g. 3 Solve -29*g + 33*g - 16 = 0 for g. 4 Solve 80*h = 77*h + 12 for h. 4 Solve -4 = t - 9 for t. 5 Solve 0*d = -4*d - 20 for d. -5 Solve 0 = 37*x - 33*x - 20 for x. 5 Solve -14*p - 79 = -9 for p. -5 Solve 19*o - 8 + 65 = 0 for o. -3 Solve -17*j + 441 = 458 for j. -1 Solve -2*d = -6*d + 8 for d. 2 Solve 8 - 14 = r for r. -6 Solve 0 = -d + 12*d for d. 0 Solve 6*c = -11 - 7 for c. -3 Solve 0 = 9*z + 436 - 454 for z. 2 Solve -4*g + 4 = 24 for g. -5 Solve 24*b - 76 = -244 for b. -7 Solve 52*n = -10 - 42 for n. -1 Solve 7 = 26*l - 25*l for l. 7 Solve -5*p = -0*p for p. 0 Solve -30 = w - 26 for w. -4 Solve -200 = -11*g - 14*g for g. 8 Solve -54*r + 328 + 158 = 0 for r. 9 Solve -8*r - 14 = -6*r for r. -7 Solve 41*z - 15 = 26 for z. 1 Solve -18*m - 6 = -16*m for m. -3 Solve 162*y + 125 = 137*y for y. -5 Solve -44*p = -33*p + 44 for p. -4 Solve -14*z + 20 = -106 for z. 9 Solve 0 = 8*j - 4*j - 16 for j. 4 Solve -4*j - 23 = -11 for j. -3 Solve 0 = -3*o - 1 + 7 for o. 2 Solve 5*g - 282 = -252 for g. 6 Solve 23*p + 24 = 31*p for p. 3 Solve -186*k = -191*k + 25 for k. 5 Solve -27*t - 16 = -124 for t. 4 Solve -15*i + 357 = -66*i for i. -7 Solve 0 = 11*p - 12*p + 1 for p. 1 Solve -4*r = -2*r - 4 for r. 2 Solve 0 = -30*o - 135 - 45 for o. -6 Solve -6*h - 57 = -27 for h. -5 Solve 19*h - 42 = 26*h for h. -6 Solve -2*q - 14*q = -4*q for q. 0 Solve -4*y + 834 = 814 for y. 5 Solve 2*o = o - 0*o for o. 0 Solve -25*b + 17*b - 24 = 0 for b. -3 Solve 4*d - 19 = -3 for d. 4 Solve 30 = 3*s + 42 for s. -4 Solve -16*f = 41 + 7 for f. -3 Solve 2*d = -4*d + 18 for d. 3 Solve -13*x + x = -60 for x. 5 Solve 0 = 11*n + 94 - 127 for n. 3 Solve 0 = -53*f + 61*f - 24 for f. 3 Solve -53*r - 45 - 61 = 0 for r. -2 Solve -63*l = 110 + 205 for l. -5 Solve -31*x = -126 + 374 for x. -8 Solve 0 = 22*o + 216 - 40 for o. -8 Solve 29*q - 21 - 95 = 0 for q. 4 Solve 84*a - 93*a - 54 = 0 for a. -6 Solve 2*j + 62 - 68 = 0 for j. 3 Solve 2*k + 132 - 134 = 0 for k. 1 Solve -35*x - 112 = -7*x for x. -4 Solve -31*y = -21*y - 50 for y. 5 Solve -3*r = 18 - 3 for r. -5 Solve 0 = 150*j + 5*j + 465 for j. -3 Solve 0 = -14*g + 18*g - 16 for g. 4 Solve 40*k = 8 + 112 for k. 3 Solve 0 = -24*s + 7*s + 11*s for s. 0 Solve -63*c = -88*c for c. 0 Solve 0 = 3*k - 7 - 5 for k. 4 Solve 14*l - 1141 = -1155 for l. -1 Solve 60 = 18*p - 8*p for p. 6 Solve o = 1 + 1 for o. 2 Solve 2685*j = 2679*j + 30 for j. 5 Solve 6*k + 58 = 82 for k. 4 Solve 12*f + 81 - 57 = 0 for f. -2 Solve 3 - 27 = 24*v for v. -1 Solve 1 - 22 = -7*f for f. 3 Solve -16 = 13*q - 42 for q. 2 Solve -6*z + 6 = 18 for z. -2 Solve -42*i + 40*i = -10 for i. 5 Solve 0*a = -11*a for a. 0 Solve -765*w - 56 = -773*w for w. 7 Solve -65*p = -63*p - 4 for p. 2 Solve 0 = -5*v + 15 + 5 for v. 4 Solve 38 = -21*z - 67 for z. -5 Solve 7*n = 3*n + 8 for n. 2 Solve 37 = 6*a + 43 for a. -1 Solve -63 = 35*p - 14*p for p. -3 Solve -252*j = -254*j - 8 for j. -4 Solve -4*l = 5*l - 0*l for l. 0 Solve 0 = -2*x - 4*x for x. 0 Solve 18*g + 45 = 33*g for g. 3 Solve 499 = -2*u + 511 for u. 6 Solve -80*x - 26*x - 318 = 0 for x. -3 Solve 411 - 161 = 50*c for c. 5 Solve -3*h = -7*h - 20 for h. -5 Solve 0 = -14*f + 39 + 3 for f. 3 Solve -17*i = -i - 48 for i. 3 Solve -10*j = 312 - 312 for j. 0 Solve -104*k + 99*k + 5 = 0 for k. 1 Solve 104 = 49*t + 3*t for t. 2 Solve -q - 1 = -3 for q. 2 Solve -15*q + 55 = -4*q for q. 5 Solve -3*c - 16 = -1 for c. -5 Solve 564 - 571 = r for r. -7 Solve g + 4 = 5 for g. 1 Solve -8*v = 2*v - 40 for v. 4 Solve -34*c + 17*c + 51 = 0 for c. 3 Solve -17 = 11*p - 61 for p. 4 Solve 6*r + 27 + 9 = 0 for r. -6 Solve -i - 16 = -22 for i. 6 Solve -2*b = -7 + 5 for b. 1 Solve -34*r = 108 + 96 for r. -6 Solve 0*c = -8*c for c. 0 Solve -9*m + 18 = -0*m for m. 2 Solve 8 = 3*g - 5*g for g. -4 Solve -51*a = -48*a + 15 for a. -5 Solve 10*t - 6 = 13*t for t. -2 Solve -z - 70 = -69 for z. -1 Solve -48*n + 18 = -51*n for n. -6 Solve -14*m - 15 = m for m. -1 Solve 0 = 3*x + 12*x for x. 0 Solve 49*p = 40*p - 90 for p. -10 Solve -11*x = -16*x + 25 for x. 5 Solve -9 = 4*o + 7 for o. -4 Solve 16*g - 53 = 91 for g. 9 Solve -5 + 9 = 2*p for p. 2 Solve -3*b = -45 + 18 for b. 9 Solve 15 = 2*g + 9 for g. 3 Solve -1 = 3*n + 14 for n. -5 Solve 19*w = -10*w + 58 for w. 2 Solve 5*n + 21 = -4 for n. -5 Solve -135 = 61*i - 76*i for i. 9 Solve -3*n = 4*n + 14 for n. -2 Solve 6*c = 232 - 244 for c. -2 Solve 41*d - 13*d = -28 for d. -1 Solve 509*q - 502*q - 28 = 0 for q. 4 Solve -45*b + 43*b = 4 for b. -2 Solve 26 = -5*j + 36 for j. 2 Solve -5*v + 68 - 73 = 0 for v. -1 Solve 15*w = 4 + 11 for w. 1 Solve -2*p = -20*p - 54 for p. -3 Solve -6*k + 139 - 115 = 0 for k. 4 Solve -111 = 3*n - 99 for n. -4 Solve 1 = -9*w + 64 for w. 7 Solve -19*l = -25*l - 42 for l. -7 Solve -17*f = -16*f - 5 for f. 5 Solve 9*r + 75 = 30 for r. -5 Solve 19 = -10*a - 31 for a. -5 Solve -6*f = 6*f - 24 for f. 2 Solve -2*t + 15 = 27 for t. -6 Solve 0 = -v + 11 - 9 for v. 2 Solve 0 = 3*s + 10*s for s. 0 Solve 0 = -16*t - 19*t - 105 for t. -3 Solve -28*a + 40 = -38*a for a. -4 Solve 35 = -124*a + 119*a for a. -7 Solve 6*n + 8 = 4*n for n. -4 Solve 31*y - 44*y + 26 = 0 for y. 2 Solve -13 + 9 = v for v. -4 Solve 253*t + 8 = 251*t for t. -4 Solve 4*g - 8 = -20 for g. -3 Solve -64*w = -73*w for w. 0 Solve -4*j - 4 = -5*j for j. 4 Solve 12*f + 42 = -2*f for f. -3 Solve -6 = p - 6 for p. 0 Solve 16*u + 15 = 11*u for u. -3 Solve -5*b = -16 - 4 for b. 4 Solve 418 - 483 = 13*t for t. -5 Solve h = -2*h + 15 for h. 5 Solve -112 = 7*g - 63*g for g. 2 Solve 0 = 2*h + 2*h - 16 for h. 4 Solve 0 = -74*o + 68*o + 18 for o. 3 Solve -61*x + 288 = 11*x for x. 4 Solve 10*c - 17 = 3 for c. 2 Solve 45*a + 16*a - 427 = 0 for a. 7 Solve 3*v - 40 = 11*v for v. -5 Solve 0 = -156*w + 138*w + 18 for w. 1 Solve 12*w = 349 - 361 for w. -1 Solve 238*l - 249*l + 77 = 0 for l. 7 Solve -20 = -7*t + 11*t for t. -5 Solve 0 = -30*t - 16*t - 184 for t. -4 Solve -26*p + 35*p - 81 = 0 for p. 9 Solve 68 = -10*y + 8 for y. -6 Solve 2*a = 16*a - 42 for a. 3 Solve 9*v - 654 + 681 = 0 for v. -3 Solve 3*f = 3*f + 7*f for f. 0 Solve -24 = -8*v - 16 for v. 1 Solve -80 = 40*q + 240 for q. -8 Solve 0 = 64*l - 16*l + 192 for l. -4 Solve 38*b = 41*b + 3 for b. -1 Solve h - 35 = 8*h for h. -5 Solve 231 = 33*x + 66 for x. 5 Solve -18*c = -0*c + 18 for c. -1 Solve -271*u + 274*u = -3 for u. -1 Solve -27*k = -4*k + 92 for k. -4 Solve 6*r = 9*r for r. 0 Solve -2*c - 5 = -1 for c. -2 Solve 15 = 20*w + 75 for w. -3 Solve 79 = -18*i - 65 for i. -8 Solve -167 = -6*b - 173 for b. -1 Solve -5*h - 28 = -12*h for h. 4 Solve 37 = 6*z + 7 for z. 5 Solve 0 = -46*r + 66*r - 180 for r. 9 Solve -3 = d - 4 for d. 1 Solve -137*z - 819 = -20*z for z. -7 Solve -6 = -5*w + 8*w for w. -2 Solve 256 - 250 = -6*u for u. -1 Solve 18*w - 300 = 68*w for w. -6 Solve -9 = 21*t - 12*t for t. -1 Solve 0 = -18*i + 63 - 9 for i. 3 Solve 21*o = 17 + 25 for o. 2 Solve 22*u = 44*u - 132 for u. 6 Solve 61 - 1 = -30*l for l. -2 Solve 40*l = 13*l - 27 for l. -1 Solve -14*d - 11 - 3 = 0 for d. -1 Solve -4*g + 19 = 7 for g. 3 Solve -8*n + 0 = 32 for n. -4 Solve 0 = -6*k - 5 - 31 for k. -6 Solve -9*j - 4 = 32 for j. -4 Solve 7*l + 10 + 11 = 0 for l. -3 Solve 35 = 9*p + 17 for p. 2 Solve 0 = 21*r + 7*r + 112 for r. -4 Solve -154 = -22*n - 132 for n. 1 Solve -77 + 97 = 4*k for k. 5 Solve -10 = 8*v + 14 for v. -3 Solve 0 = -284*h + 269*h for h. 0 Solve -11*c = 14*c + 8*c for c. 0 Solve 8*o = 24 - 8 for o. 2 Solve -4*k - 5 = -13 for k. 2 Solve 17 - 5 = -4*q for q. -3 Solve -6 = 55*t + 49 for t. -1 Solve 0 = 11*v - 0*v + 33 for v. -3 Solve -36 = -0*b + 6*b for b. -6 Solve -4*i + 9*i = 25 for i. 5
Calculate the remainder when 16947 is divided by 8460. 27 Calculate the remainder when 15583 is divided by 339. 328 What is the remainder when 47250 is divided by 57? 54 Calculate the remainder when 107469 is divided by 50. 19 Calculate the remainder when 91695 is divided by 16. 15 Calculate the remainder when 1622 is divided by 609. 404 Calculate the remainder when 2650559 is divided by 16. 15 Calculate the remainder when 229 is divided by 45. 4 What is the remainder when 11734 is divided by 175? 9 Calculate the remainder when 2400 is divided by 399. 6 What is the remainder when 1078029 is divided by 64? 13 Calculate the remainder when 116 is divided by 111. 5 Calculate the remainder when 184723 is divided by 9. 7 Calculate the remainder when 3368721 is divided by 164. 161 What is the remainder when 8961 is divided by 426? 15 Calculate the remainder when 1717 is divided by 675. 367 What is the remainder when 5502 is divided by 50? 2 What is the remainder when 27706 is divided by 445? 116 What is the remainder when 949 is divided by 444? 61 Calculate the remainder when 76549 is divided by 2550. 49 What is the remainder when 245317 is divided by 9435? 7 Calculate the remainder when 20114 is divided by 686. 220 What is the remainder when 1145 is divided by 382? 381 Calculate the remainder when 42 is divided by 18. 6 What is the remainder when 108974 is divided by 122? 28 What is the remainder when 1880 is divided by 156? 8 What is the remainder when 1724 is divided by 505? 209 What is the remainder when 81119 is divided by 47? 44 What is the remainder when 162492 is divided by 66? 0 Calculate the remainder when 35165 is divided by 17521. 123 What is the remainder when 231707 is divided by 263? 4 What is the remainder when 1119974 is divided by 1635? 1634 Calculate the remainder when 2551 is divided by 155. 71 What is the remainder when 121207 is divided by 527? 524 What is the remainder when 165982 is divided by 42? 40 What is the remainder when 368 is divided by 30? 8 What is the remainder when 1307 is divided by 1085? 222 What is the remainder when 352279 is divided by 14678? 7 Calculate the remainder when 271503 is divided by 187. 166 What is the remainder when 10015 is divided by 102? 19 Calculate the remainder when 72658 is divided by 20. 18 What is the remainder when 1329 is divided by 283? 197 Calculate the remainder when 1550 is divided by 1003. 547 What is the remainder when 73817 is divided by 64? 25 Calculate the remainder when 12076 is divided by 483. 1 What is the remainder when 8679 is divided by 457? 453 What is the remainder when 8068 is divided by 4025? 18 What is the remainder when 23776 is divided by 23690? 86 What is the remainder when 226245 is divided by 113114? 17 What is the remainder when 3189 is divided by 152? 149 What is the remainder when 102540 is divided by 431? 393 Calculate the remainder when 5200 is divided by 307. 288 Calculate the remainder when 5533 is divided by 354. 223 Calculate the remainder when 63465 is divided by 164. 161 Calculate the remainder when 10327 is divided by 123. 118 What is the remainder when 7259 is divided by 739? 608 Calculate the remainder when 10249 is divided by 2388. 697 What is the remainder when 59318 is divided by 209? 171 Calculate the remainder when 237626 is divided by 481. 12 Calculate the remainder when 175682 is divided by 14. 10 What is the remainder when 5141 is divided by 21? 17 What is the remainder when 123149 is divided by 61564? 21 Calculate the remainder when 3996 is divided by 879. 480 What is the remainder when 49516 is divided by 8252? 4 Calculate the remainder when 2767 is divided by 74. 29 Calculate the remainder when 100644 is divided by 25150. 44 Calculate the remainder when 17062 is divided by 10. 2 Calculate the remainder when 975 is divided by 16. 15 What is the remainder when 30932 is divided by 3436? 8 What is the remainder when 32920 is divided by 531? 529 What is the remainder when 263325 is divided by 170? 165 What is the remainder when 198516 is divided by 20? 16 Calculate the remainder when 4428 is divided by 296. 284 What is the remainder when 2106 is divided by 988? 130 What is the remainder when 17296 is divided by 967? 857 Calculate the remainder when 104166 is divided by 2170. 6 What is the remainder when 5825 is divided by 487? 468 What is the remainder when 54214 is divided by 1466? 1438 What is the remainder when 120980 is divided by 9? 2 What is the remainder when 16962 is divided by 10? 2 What is the remainder when 105651 is divided by 55? 51 Calculate the remainder when 1779 is divided by 23. 8 Calculate the remainder when 430869 is divided by 28724. 9 What is the remainder when 156736 is divided by 906? 904 Calculate the remainder when 2836 is divided by 469. 22 What is the remainder when 16580 is divided by 57? 50 What is the remainder when 59528 is divided by 4? 0 Calculate the remainder when 336508 is divided by 478. 474 Calculate the remainder when 18579 is divided by 119. 15 Calculate the remainder when 8235 is divided by 142. 141 What is the remainder when 6232 is divided by 441? 58 What is the remainder when 926 is divided by 83? 13 Calculate the remainder when 633 is divided by 540. 93 Calculate the remainder when 6923 is divided by 1728. 11 What is the remainder when 777 is divided by 112? 105 What is the remainder when 26872 is divided by 2221? 220 Calculate the remainder when 205886 is divided by 2. 0 Calculate the remainder when 2535 is divided by 642. 609 What is the remainder when 5920455 is divided by 1123? 1122 Calculate the remainder when 62250 is divided by 20742. 24 What is the remainder when 10704 is divided by 481? 122 Calculate the remainder when 2207 is divided by 2073. 134 Calculate the remainder when 773710 is divided by 9. 7 Calculate the remainder when 104240 is divided by 238. 234 What is the remainder when 4641 is divided by 26? 13 Calculate the remainder when 89823 is divided by 81. 75 Calculate the remainder when 188810 is divided by 259. 258 What is the remainder when 85013 is divided by 327? 320 What is the remainder when 93398 is divided by 100? 98 What is the remainder when 221142 is divided by 8? 6 Calculate the remainder when 48216 is divided by 16035. 111 What is the remainder when 114183 is divided by 41? 39 What is the remainder when 769904 is divided by 331? 329 What is the remainder when 2842553 is divided by 710636? 9 What is the remainder when 2544 is divided by 300? 144 What is the remainder when 46475 is divided by 479? 12 Calculate the remainder when 14299 is divided by 80. 59 Calculate the remainder when 58513 is divided by 20. 13 Calculate the remainder when 7196 is divided by 64. 28 What is the remainder when 64564 is divided by 16131? 40 Calculate the remainder when 6501 is divided by 50. 1 What is the remainder when 63498 is divided by 7930? 58 Calculate the remainder when 1463 is divided by 430. 173 Calculate the remainder when 2604 is divided by 63. 21 Calculate the remainder when 18193 is divided by 9094. 5 What is the remainder when 8381 is divided by 2773? 62 Calculate the remainder when 91622 is divided by 1224. 1046 What is the remainder when 2845 is divided by 216? 37 Calculate the remainder when 131382 is divided by 272. 6 Calculate the remainder when 19546 is divided by 148. 10 Calculate the remainder when 12948 is divided by 1216. 788 Calculate the remainder when 617 is divided by 288. 41 Calculate the remainder when 103970 is divided by 34615. 125 Calculate the remainder when 222987 is divided by 381. 102 What is the remainder when 28427 is divided by 46? 45 Calculate the remainder when 23168 is divided by 425. 218 What is the remainder when 99835 is divided by 25? 10 What is the remainder when 202035 is divided by 302? 299 What is the remainder when 43469 is divided by 925? 919 Calculate the remainder when 38245 is divided by 306. 301 Calculate the remainder when 2308 is divided by 240. 148 What is the remainder when 699357 is divided by 40? 37 What is the remainder when 3719 is divided by 739? 24 What is the remainder when 2277 is divided by 377? 15 What is the remainder when 827 is divided by 18? 17 What is the remainder when 714 is divided by 72? 66 Calculate the remainder when 206751 is divided by 497. 496 Calculate the remainder when 47926 is divided by 23930. 66 What is the remainder when 6949 is divided by 119? 47 What is the remainder when 1699 is divided by 920? 779 Calculate the remainder when 1708 is divided by 29. 26 Calculate the remainder when 14871 is divided by 96. 87
Three letters picked without replacement from uuhuhu. What is prob of picking 2 u and 1 h? 3/5 Four letters picked without replacement from {v: 2, r: 3, y: 7}. What is prob of picking 1 r and 3 y? 7/33 What is prob of picking 3 w and 1 p when four letters picked without replacement from {p: 2, w: 11}? 6/13 What is prob of picking 2 g and 2 r when four letters picked without replacement from mgrsllhrrrgh? 2/165 Two letters picked without replacement from fdfffffddfdddffd. What is prob of picking 2 f? 3/10 What is prob of picking 1 s and 1 l when two letters picked without replacement from uoocslooo? 1/36 What is prob of picking 1 p and 2 l when three letters picked without replacement from lpyrlr? 1/20 What is prob of picking 1 w and 1 b when two letters picked without replacement from {w: 2, b: 2, h: 2, e: 2}? 1/7 Two letters picked without replacement from {c: 1, g: 1, q: 2, j: 1}. What is prob of picking 1 g and 1 q? 1/5 Three letters picked without replacement from {q: 3, n: 11, l: 1, t: 2, o: 2}. What is prob of picking 3 n? 55/323 Calculate prob of picking 2 g when two letters picked without replacement from fqqgrrgqrqgq. 1/22 What is prob of picking 1 r and 2 t when three letters picked without replacement from ptttpppttprrrppr? 1/14 Calculate prob of picking 2 b, 1 i, and 1 k when four letters picked without replacement from {k: 1, b: 2, i: 2}. 2/5 Two letters picked without replacement from {l: 1, g: 1, c: 1, q: 2, t: 1, o: 1}. Give prob of picking 1 o and 1 t. 1/21 Calculate prob of picking 1 t, 1 h, and 2 m when four letters picked without replacement from {t: 4, a: 6, m: 1, h: 3, v: 2}. 0 What is prob of picking 4 o when four letters picked without replacement from hxxoohooooo? 7/66 Three letters picked without replacement from lxxlplppl. What is prob of picking 1 p, 1 l, and 1 x? 2/7 Calculate prob of picking 2 y and 1 b when three letters picked without replacement from {m: 1, y: 2, b: 4, o: 3, j: 3, z: 2}. 4/455 Three letters picked without replacement from {q: 9, e: 2}. Give prob of picking 3 q. 28/55 What is prob of picking 1 g and 2 b when three letters picked without replacement from {p: 1, u: 6, w: 1, b: 2, g: 3, v: 2}? 3/455 Three letters picked without replacement from dqddqddvqqdaddqdq. What is prob of picking 1 q, 1 a, and 1 v? 3/340 Three letters picked without replacement from pxeeeuieevevepe. What is prob of picking 1 u, 1 v, and 1 x? 2/455 Four letters picked without replacement from {j: 9, h: 3}. Give prob of picking 1 j and 3 h. 1/55 What is prob of picking 3 f when three letters picked without replacement from {y: 5, z: 1, f: 3, q: 3}? 1/220 Two letters picked without replacement from {z: 2, e: 2, o: 2}. Give prob of picking 2 z. 1/15 Calculate prob of picking 1 f and 1 p when two letters picked without replacement from {p: 4, f: 1, t: 3, w: 3}. 4/55 Two letters picked without replacement from {u: 1, l: 4, k: 7, t: 1, m: 2, p: 3}. Give prob of picking 1 m and 1 k. 14/153 What is prob of picking 4 n when four letters picked without replacement from {v: 2, n: 10}? 14/33 What is prob of picking 3 d when three letters picked without replacement from {o: 8, d: 5, f: 3}? 1/56 What is prob of picking 1 h, 1 b, and 1 c when three letters picked without replacement from cmbhrchhccmcmccm? 3/80 What is prob of picking 1 s, 1 h, and 1 a when three letters picked without replacement from {k: 1, a: 1, h: 4, o: 2, s: 1}? 1/21 Calculate prob of picking 2 u when two letters picked without replacement from {u: 2, b: 3}. 1/10 Three letters picked without replacement from nfoffonfffofn. What is prob of picking 1 f and 2 n? 21/286 Three letters picked without replacement from affffffa. Give prob of picking 2 f and 1 a. 15/28 Calculate prob of picking 3 p and 1 s when four letters picked without replacement from sbmpbpmmbbbmpmbppm. 1/306 What is prob of picking 3 l when three letters picked without replacement from lllll? 1 Two letters picked without replacement from bzbzbzb. Give prob of picking 2 b. 2/7 Calculate prob of picking 2 i when two letters picked without replacement from {j: 5, i: 7}. 7/22 What is prob of picking 1 j and 3 v when four letters picked without replacement from jvjvjjvjjjjjjjvvjvj? 65/969 Four letters picked without replacement from {x: 7, z: 5, o: 1, g: 5, y: 1}. Give prob of picking 4 g. 5/3876 What is prob of picking 1 x and 1 y when two letters picked without replacement from {t: 4, x: 1, y: 1, s: 2, g: 1}? 1/36 What is prob of picking 1 c and 2 i when three letters picked without replacement from {h: 1, i: 4, c: 5}? 1/4 What is prob of picking 1 s and 2 v when three letters picked without replacement from sssvsvvvsvc? 10/33 Calculate prob of picking 1 b and 3 i when four letters picked without replacement from {z: 3, i: 9, b: 4}. 12/65 What is prob of picking 2 d, 1 c, and 1 p when four letters picked without replacement from {p: 2, d: 2, x: 1, c: 3, f: 4, y: 2}? 6/1001 Four letters picked without replacement from tpepeuupeeteppeueu. What is prob of picking 1 u, 2 p, and 1 e? 14/153 Three letters picked without replacement from lljjlllllljlllllll. Give prob of picking 1 j and 2 l. 105/272 Calculate prob of picking 1 i and 3 g when four letters picked without replacement from {i: 2, g: 9}. 28/55 What is prob of picking 2 x when two letters picked without replacement from xxxxxxxxxcc? 36/55 Calculate prob of picking 1 t, 2 b, and 1 w when four letters picked without replacement from wwwbwwbbwtbwb. 14/143 What is prob of picking 2 w and 1 b when three letters picked without replacement from {p: 3, i: 1, g: 3, v: 2, w: 2, b: 1}? 1/220 Calculate prob of picking 2 j when two letters picked without replacement from {j: 7}. 1 Calculate prob of picking 3 q and 1 g when four letters picked without replacement from {z: 1, g: 6, u: 2, q: 7, o: 1}. 3/34 Three letters picked without replacement from {u: 3, j: 5}. Give prob of picking 3 u. 1/56 Two letters picked without replacement from {r: 9, j: 5}. Give prob of picking 1 r and 1 j. 45/91 What is prob of picking 2 p when two letters picked without replacement from qpppdqqppqpqp? 7/26 Two letters picked without replacement from mcmcvmm. What is prob of picking 2 m? 2/7 Two letters picked without replacement from {w: 2, n: 1, j: 1, g: 1}. What is prob of picking 1 g and 1 j? 1/10 What is prob of picking 1 x and 1 p when two letters picked without replacement from {x: 9, p: 3}? 9/22 Calculate prob of picking 4 v when four letters picked without replacement from vvvvv. 1 Three letters picked without replacement from jkkkjkkk. Give prob of picking 3 k. 5/14 Two letters picked without replacement from qqqiqigiihi. Give prob of picking 2 i. 2/11 Two letters picked without replacement from {t: 5, p: 2, x: 1, q: 1}. Give prob of picking 1 p and 1 t. 5/18 What is prob of picking 1 f and 1 t when two letters picked without replacement from {t: 6, f: 7}? 7/13 What is prob of picking 1 p and 2 l when three letters picked without replacement from plxl? 1/4 Calculate prob of picking 1 k and 2 r when three letters picked without replacement from {r: 4, k: 4, f: 3, n: 8}. 8/323 What is prob of picking 1 i and 1 u when two letters picked without replacement from {u: 4, d: 4, c: 1, p: 1, i: 1}? 4/55 Three letters picked without replacement from vvlwwwfvpp. What is prob of picking 1 v and 2 w? 3/40 Calculate prob of picking 1 j and 1 b when two letters picked without replacement from jmbqdymj. 1/14 Calculate prob of picking 1 x, 1 c, 1 d, and 1 r when four letters picked without replacement from {d: 2, r: 3, x: 3, t: 6, c: 1}. 6/455 Four letters picked without replacement from {m: 3, e: 3}. Give prob of picking 2 e and 2 m. 3/5 Two letters picked without replacement from dddddddzddddz. Give prob of picking 2 d. 55/78 Calculate prob of picking 1 k and 2 y when three letters picked without replacement from gkkkykkyyykky. 35/143 Three letters picked without replacement from {x: 8, w: 1, r: 7, o: 2, n: 2}. What is prob of picking 1 w and 2 r? 7/380 Calculate prob of picking 2 g when two letters picked without replacement from ggxoioo. 1/21 Calculate prob of picking 3 g and 1 f when four letters picked without replacement from {f: 1, h: 1, g: 1, n: 1, z: 1}. 0 Calculate prob of picking 1 v, 2 u, and 1 i when four letters picked without replacement from viiuzvvvzvuvuvz. 2/65 What is prob of picking 1 l, 2 j, and 1 e when four letters picked without replacement from jejjweejlejjfjfe? 3/52
Let u = -865 - -2748. Is u a multiple of 11? False Suppose -21*h + 17000 = -25336. Is h a multiple of 21? True Suppose -d + 6 = w, -6*d - 32 = -2*w - 3*d. Suppose 3*h - 567 = w*h. Let k = -26 - h. Is 37 a factor of k? False Let r(n) = n**2 + 262*n - 1847. Is 32 a factor of r(144)? False Let b be -2 + ((-8)/20 - 22/(-5)). Let g be (2 - -4) + -5 - (b - 0). Is ((-1)/g - (-7)/35)*5 a multiple of 4? False Let u(x) be the first derivative of 2*x**3 + 4 - 3*x - 5/2*x**2. Is u(5) a multiple of 20? False Suppose 3*c + 762 = 5*c. Let w be 1/2 + -451*(-2)/(-4). Let d = w + c. Is d a multiple of 52? True Let w(q) = -q**2 - 9*q + 8. Let a be w(-9). Let o(c) = -c**3 + 6*c**2 + 5*c + 1. Let m be o(a). Is m/(-9) + (-3)/(-9) even? True Is 9 a factor of (-1)/(-10) + 1/((-100)/(-403790))? False Let b(f) = f**2 - 12*f + 28. Let l be b(10). Suppose -l*z + 3*z = 2*s - 816, 4*z + 3*s = 657. Does 18 divide z? True Let k(n) = 15*n**3 + 20*n**3 + 52 + 3*n - 36*n**3. Is 13 a factor of k(0)? True Let x = -38367 + 57491. Does 256 divide x? False Does 23 divide (7 - -1) + 64/416 + (-214104)/(-39)? False Let s = 298 + -162. Let z = 48 + s. Does 3 divide z? False Let c(l) = 2*l**2 + 4*l + 3. Let x be c(4). Suppose -22*j - x = -25*j. Is 17 a factor of j? True Let d(l) = -25*l**3 + 42*l**3 - 3*l + 6 - 16*l**3. Let x be d(6). Suppose 2*o + 2*f - 148 = -o, 0 = -4*o + 4*f + x. Is o a multiple of 7? False Let a(z) = 3*z**2 + 16*z. Let u(q) = 4*q**2 + 14*q - 1. Let v(m) = -5*a(m) + 6*u(m). Let r = 1 + 1. Is 5 a factor of v(r)? False Let z(p) = 2*p**3 - 17*p**2 + 21*p + 16. Let o be z(10). Suppose -o = -4*s - 46. Does 8 divide s? True Suppose 4456 = 3*l - 2*x, 520*x - 2988 = -2*l + 517*x. Does 62 divide l? True Suppose 2*f - 8308 = -3*l, -11061 = -4*l + 588*f - 593*f. Is l a multiple of 73? True Suppose -y + 6*y = -100. Let c(l) be the first derivative of l**4/4 + 19*l**3/3 - 11*l**2 + 5*l + 33. Does 5 divide c(y)? True Suppose -4*q + 12 = -3*y - 2, -q - y = 0. Is 10276/40 + q/20 a multiple of 9? False Does 13 divide -8*(-22)/(-264) + (-17714)/(-12)*4? False Let o(r) = 4*r**3 - 64*r**2 + 130*r + 60. Does 9 divide o(21)? True Let y(v) = v**3 + v**2 - 1. Let m be y(0). Let x(q) = q**2 + 41*q + 477. Let n be x(-26). Is (n + -15)/((-2)/(m - 1)) a multiple of 17? False Suppose 5*t = -4*r + 8200, 3*r = -3*t + 3093 + 1824. Is t a multiple of 6? True Let y(u) = -29*u + 5. Let t be y(-2). Let w = -60 + t. Does 6 divide 206/(-6)*(w + -6)? False Suppose -218*w + 498*w = -287*w + 7707798. Is w a multiple of 7? True Suppose -5*m + u = -0*u + 23, 12 = 4*u. Let q be 120/18*(-3)/m. Suppose -10*y + 465 = -q*y. Does 8 divide y? False Suppose 5*t - 9 - 1131 = 0. Suppose -2*q + c + t - 72 = 0, -2*c = -2*q + 154. Is 11 a factor of q? False Suppose -3*v = 6, -55*v = 2*y - 51*v + 74. Suppose i - 4*t - 42 = 4*i, i + 14 = 5*t. Let m = i - y. Does 10 divide m? False Let t(r) = 137*r**3 + 17*r**2 - 152*r + 29. Does 45 divide t(7)? False Suppose 3589*t - 1287724 = 3543*t. Is 14 a factor of t? False Let z(d) = -86*d - 4. Let k be z(-2). Suppose -2*g + 36 = k. Let n = -57 - g. Does 9 divide n? True Let l(a) = 12 + 22 + 37*a - 90 + 25. Is 13 a factor of l(11)? False Let p be (-4 - 0) + 1*12. Suppose -b - 5943 = -p*b. Does 38 divide b? False Let v be 1/(-1*(7/(-2) - -3)). Suppose v = 2*l, -4*l + l = 2*n - 647. Let y = n + -203. Is y a multiple of 19? False Is (51950/35 - -6) + (-18)/63 a multiple of 3? False Let s(n) = 2*n. Let i(g) = 36*g - 42. Let o(u) = 2*i(u) - 18*s(u). Is 22 a factor of o(6)? True Let w = -4044 + 9281. Is w a multiple of 7? False Suppose 0 = -9076*q + 9064*q + 66492. Does 46 divide q? False Suppose -8*m - 2*i + 217390 = 0, 5*m - 3*i - 5790 = 130100. Does 15 divide m? False Suppose 2*b = -q - 0*q - 919, b = 2*q + 1848. Let a = q + 1561. Does 15 divide a? False Suppose 4*b - 2*b = 2, -12 = 2*f - 4*b. Let l(y) = 16*y**2 + 5*y. Let n be l(f). Let g = -121 + n. Is 23 a factor of g? True Suppose 45*d - 437942 = -24887. Is d a multiple of 23? False Let q = -33409 - -75784. Does 22 divide q? False Is 56 a factor of ((-19)/(-3) + -3)*(1177 - 7 - -6)? True Suppose -3 = -2*n + 1. Suppose -90 = -0*i - n*i. Let v = -34 + i. Is 11 a factor of v? True Let r(l) = 14530*l**2 - 19*l + 3. Is 48 a factor of r(1)? False Let m be (285 - (6 + -10)) + (1 - 3). Let o = m - 272. Is o a multiple of 15? True Let a(x) = 4*x**3 + 2*x**2 + 12*x - 28. Is 4 a factor of a(4)? True Suppose -71*k = -49*k - 14366. Let l = 1202 - k. Does 9 divide l? True Let d = -5904 + 12444. Is d a multiple of 57? False Let i(y) = -76*y**3 + y**2 + 44*y + 87. Is i(-7) a multiple of 13? True Suppose -16*q + 4845 = 3*q. Let l = q - -356. Is 19 a factor of l? False Let t(p) = 32*p**2 + 293*p - 143. Is t(-28) a multiple of 17? False Let u(y) = 2*y**2 + 18*y + 6. Let i be u(-9). Suppose 10 + 2 = i*k. Suppose -k*q - 315 = -3*z, -3*z + 7*q + 315 = 4*q. Is 15 a factor of z? True Let t(x) = -x**2 + 4*x - 315. Let i be t(0). Does 9 divide (18/7)/(-11 + (-3470)/i)? True Does 15 divide -2 - (6 + -19)/(4/2516)? True Let h be (6/((-24)/4844))/(-1). Let k = 1821 - h. Does 61 divide k? True Let r(s) = -20*s - 36. Let w be r(32). Let f = 1348 + w. Does 32 divide f? True Suppose 6*d + d = -13*d. Suppose d = 700*k - 702*k + 1054. Is 17 a factor of k? True Let g = 14 + -26. Let s(p) = p**3 + 10*p**2 - 19*p + 6. Let a be s(g). Let f = -38 - a. Is f a multiple of 8? True Suppose -90 = -2*y + 7*y. Let o(c) = -77*c - 23. Let t be o(-1). Does 12 divide 9732/t + 4/y? True Let s(r) = 53*r - 12. Let z be s(-2). Let k = z + 126. Let y(v) = 4*v**2 - 19*v - 5. Does 11 divide y(k)? True Let g = 18456 + -17696. Does 3 divide g? False Let j = 187 - -139. Suppose -6*q + j = -88. Does 8 divide q? False Let n(g) = g + 2226. Is n(-54) a multiple of 158? False Suppose 17635 = 5*h - 55*d + 51*d, -5*h - 3*d = -17635. Is 15 a factor of h? False Suppose -y = -4*x - 56 + 210, -455 = 3*y - 5*x. Let c = 152 + y. Let w(z) = 4*z**3 - z**2 - 4*z + 4. Is w(c) a multiple of 2? True Let u(s) = 10*s + 5146. Does 64 divide u(-9)? True Suppose 14*q - 26 = 30. Suppose -2*f + 6 = 0, -q*f - 2512 = -3*v - v. Is v a multiple of 27? False Suppose 30342 - 110933 = -20*g + 177969. Is g a multiple of 64? True Let d = 3 + -3. Let t be -2 + 54/(-9) + 13. Suppose -5*y + 605 = 5*b, d*b + 590 = t*y + 2*b. Is 17 a factor of y? False Let n be (-31584)/72*(-15)/2. Suppose 4*r + 824 - 3445 = -s, 4*s = -5*r + n. Does 21 divide r? False Suppose -306 = -16*h + 22*h. Let v be h/(-68) + (-1)/(-4). Does 14 divide (4/6)/(v/273)? True Let s be ((9 - 12) + (-3)/(-1))/(-1). Let t(r) = -r**3 + s*r**2 + 3 - 2*r - 2*r**2 - 4*r**2. Is t(-6) a multiple of 5? True Let q(h) = 2*h**2 + 25*h - 8. Let p be q(-13). Suppose -p*g = -4*a - 1600, -g + 0*g - a = -320. Does 20 divide g? True Let s(c) = c**2 - 10*c + 12. Let g be s(7). Let h(i) = -i**2 - 14*i + 8. Let b be h(g). Suppose 7*x + b = 508. Is x a multiple of 13? True Does 71 divide (-5)/(-3) + (2 - 127300/(-30))? False Suppose o + 143 = 2*r, -5 = -4*r + 5*o + 272. Is r even? False Let z(r) = r**3 + 4*r**2 - 5*r + 2. Let a be z(4). Suppose -3*p + 142 = -3*h - h, 3*p = -4*h + a. Suppose p + 132 = 2*q. Is q a multiple of 14? False Suppose -3*o = 2*d - 26, 3*o - 8*d + 3*d = -2. Let s(p) = 278*p - 380. Is s(o) a multiple of 23? True Suppose -x = -3*b + 21 - 13, -4*x - 5*b = -36. Is 5 + 267 + (7 - x) a multiple of 25? True Suppose -4 + 10 = -6*x. Let y be (-320)/(-48) + x/(-3). Let s(t) = 2*t**2 - 11*t + 7. Is 5 a factor of s(y)? False Does 93 divide 14439 - 2 - ((-1)/3)/(66/1386)? False Let g be 10*(-3)/(-10)*(-6)/(-9). Is 20 a factor of 179 + g*(-6)/(-12)? True Is 18 a factor of ((-42)/(-112))/((-15)/1990 - 0)*-52? False Suppose 57*t - 61*t + 4*a + 2868 = 0, 0 = -t - 4*a + 707. Is t a multiple of 9? False Suppose -5*i = -2*y - 337, -4*y + 5*i - 3*i - 698 = 0. Does 43 divide (-5)/10*8 - y? True Let p = 12 + -10. Suppose -5*f + b - p = 0, 4*b = -4*f - 0 + 8. Is 13 a factor of 6*(f - 43/(-3))? False Let d = 6488 + -6271. Is d a multiple of 7? True Does 18 divide (-5)/2*(-2 + -1)/((-140)/(-336))? True Let t be ((-52)/65)/(2/(-40)). Suppose 4*g + 102 = 3*n, 4*n - 95 = -3*g + t. Is n a multiple of 5? True Let n = -15986 + 25809. Does 37 divide n? False Is 8 a factor of (-53960)/(-57)*132/10? True Let w = -112292 + 177175. Does 31 divide w? True Suppose -16*q + 28460 = 172. Suppose 20*i + 14*i = q. Is i a multiple of 13? True Let x(f) = -6*f**2 + 8*f + 14. Let l(s) = 17*s**2 - 23*s - 43. Let z(k) = 3*l(k) + 8*x(k). Let q = 2 + -7. Does 27 divide z(q)? False
Calculate the smallest common multiple of 50 and 874. 21850 Calculate the common denominator of 151/312 and 41/46. 7176 Calculate the least common multiple of 426225 and 135. 3836025 Calculate the least common multiple of 4700 and 64625. 258500 Calculate the lowest common multiple of 10524 and 94716. 94716 Calculate the smallest common multiple of 140 and 32284. 161420 Find the common denominator of -7/2816 and 123/373120. 746240 Find the common denominator of -79/7920 and 143/72. 7920 What is the least common multiple of 92208 and 40002? 5440272 What is the lowest common multiple of 3 and 281848? 845544 Calculate the lowest common multiple of 23194 and 36. 417492 Calculate the lowest common multiple of 26490 and 81. 715230 What is the lowest common multiple of 123050 and 246100? 246100 Calculate the common denominator of 13/2016 and 149/306. 34272 What is the smallest common multiple of 7056 and 336? 7056 What is the lowest common multiple of 2556 and 5022? 713124 What is the smallest common multiple of 999180 and 75? 4995900 Calculate the lowest common multiple of 8211 and 25806. 180642 Calculate the least common multiple of 15281 and 2590. 152810 What is the lowest common multiple of 4128 and 1171320? 4685280 Calculate the least common multiple of 671 and 347. 232837 Calculate the smallest common multiple of 5607 and 126. 11214 Calculate the lowest common multiple of 18680 and 3720. 1737240 Calculate the smallest common multiple of 282 and 11694. 549618 Calculate the common denominator of -31/374 and -155/336. 62832 What is the common denominator of -145/450288 and -83/13688? 13058352 What is the common denominator of -49/12492 and -79/12? 12492 Find the common denominator of -51/7323800 and -99/2. 7323800 Calculate the least common multiple of 22 and 670852. 7379372 What is the common denominator of -93/3256 and 27/1480? 16280 What is the lowest common multiple of 24570 and 49140? 49140 Calculate the least common multiple of 115344 and 3240. 576720 What is the lowest common multiple of 33406 and 14? 233842 What is the lowest common multiple of 129 and 5931? 255033 What is the smallest common multiple of 27246 and 17925? 681150 Calculate the common denominator of 35/113 and -13/1051. 118763 Calculate the least common multiple of 96807 and 11. 1064877 Calculate the smallest common multiple of 1857 and 1629. 1008351 What is the common denominator of -179/1620 and 53/13068? 196020 What is the least common multiple of 10416 and 1344? 41664 What is the common denominator of -75/512 and 85/448? 3584 Calculate the least common multiple of 4420 and 68. 4420 Find the common denominator of 71/153 and 29/3969. 67473 What is the lowest common multiple of 19191 and 27? 172719 What is the smallest common multiple of 60162 and 30081? 60162 Calculate the lowest common multiple of 184065 and 52590. 368130 Find the common denominator of 139/3480 and -151/660. 38280 Calculate the smallest common multiple of 64672 and 1505. 2263520 What is the common denominator of 65/193887 and -50/129? 193887 Calculate the common denominator of 31/202840 and 107/4840. 2231240 Find the common denominator of -19/370472 and 33/92618. 370472 What is the smallest common multiple of 10 and 42535? 85070 Calculate the common denominator of 52/129735 and 74/1395. 129735 What is the common denominator of 14/89 and 69/20380? 1813820 What is the least common multiple of 381547 and 424? 3052376 What is the lowest common multiple of 18 and 9462? 28386 What is the common denominator of -73/8 and -69/2079038? 8316152 Calculate the lowest common multiple of 7984 and 16. 7984 Find the common denominator of 21/670 and -49/195372. 976860 What is the common denominator of -87/10780 and -9/110? 10780 What is the least common multiple of 10390 and 7273? 72730 Find the common denominator of 119/473460 and -79/157820. 473460 Calculate the smallest common multiple of 3910 and 178296. 891480 Calculate the lowest common multiple of 169066 and 33. 5579178 What is the common denominator of 79/41180 and -95/8236? 41180 What is the least common multiple of 39568 and 18? 356112 Calculate the smallest common multiple of 96052 and 944. 384208 Calculate the common denominator of 63/4 and -149/151044. 151044 Find the common denominator of -41/19548 and -137/24. 39096 What is the common denominator of 65/2928 and -13/7808? 23424 Calculate the least common multiple of 180 and 60800. 547200 Find the common denominator of -95/10612 and 173/22740. 159180 What is the smallest common multiple of 168 and 9192? 64344 What is the common denominator of -61/108 and 157/30450? 548100 What is the smallest common multiple of 52692 and 144? 632304 Find the common denominator of -47/265410 and -79/73725. 1327050 Calculate the smallest common multiple of 569470 and 310620. 3416820 Calculate the smallest common multiple of 250208 and 64. 500416 What is the least common multiple of 819 and 6370? 57330 Calculate the common denominator of 103/488 and -77/1830. 7320 Calculate the smallest common multiple of 896875 and 9625. 9865625 What is the least common multiple of 49716 and 2196? 3032676 Find the common denominator of -51/4588 and -71/124. 4588 Find the common denominator of -163/30 and -55/63561. 635610 Find the common denominator of 117/1760 and 181/13200. 26400 Find the common denominator of 67/48450 and -69/10. 48450 Find the common denominator of 27/220 and 1/176847. 3536940 What is the common denominator of 157/17526 and 31/48576? 6169152 What is the common denominator of 71/3081 and -13/29704? 1158456 What is the least common multiple of 2576 and 14? 2576 What is the lowest common multiple of 152940 and 54? 1376460 Calculate the common denominator of -11/598 and -101/4. 1196 Calculate the lowest common multiple of 27 and 61155. 61155 Calculate the common denominator of -43/16280 and -27/110. 16280 Calculate the lowest common multiple of 234160 and 146350. 1170800 Find the common denominator of 59/335166 and 131/120. 6703320 Calculate the smallest common multiple of 2571876 and 7960. 25718760 What is the common denominator of -71/176352 and 71/54? 1587168 Find the common denominator of -7/517 and -57/27307. 300377 What is the lowest common multiple of 1139 and 30083? 511411 What is the common denominator of -57/76984 and 119/72? 692856 What is the common denominator of -23/6822 and 89/6064? 54576 Find the common denominator of -73/40089 and -13/2415. 200445 Find the common denominator of 31/20944 and -209/4830. 7225680 Calculate the common denominator of 41/10175 and -13/920. 1872200 Find the common denominator of 32/188205 and -68/263487. 1317435 Calculate the lowest common multiple of 11764 and 12308. 2129284 Find the common denominator of -57/1136 and -27/572. 162448 What is the lowest common multiple of 194712 and 76? 194712 Calculate the lowest common multiple of 862600 and 454000. 8626000 What is the lowest common multiple of 168 and 525? 4200 What is the common denominator of -73/10989 and 127/36? 43956 What is the common denominator of 121/7270 and 25/23991? 239910 What is the common denominator of 113/5775 and 73/165? 5775 Calculate the common denominator of -53/15910 and 1/13172. 2831980 Calculate the lowest common multiple of 2136 and 30616. 91848 What is the lowest common multiple of 1133820 and 60? 1133820 What is the common denominator of 17/262 and -3/868? 113708 Calculate the smallest common multiple of 8 and 4758. 19032 Find the common denominator of -68/1607739 and 109/109370. 16077390 What is the common denominator of 27/89915 and 61/4410? 1618470 What is the lowest common multiple of 4191 and 12573? 12573 Calculate the common denominator of 16/44583 and 55/234. 3477474 What is the common denominator of -163/78660 and -79/41040? 943920 What is the common denominator of -43/48 and 143/179742? 1437936 Calculate the common denominator of -11/468 and -55/29384. 3437928 Find the common denominator of -47/2980 and 53/228. 169860 Calculate the common denominator of 107/54 and -67/437967. 875934 What is the least common multiple of 10 and 9260? 9260 Find the common denominator of 23/154 and -17/1900. 146300 What is the common denominator of -125/54796 and -31/399? 164388 What is the common denominator of 23/10978 and 67/44? 21956 Calculate the lowest common multiple of 9675 and 675. 29025 What is the common denominator of 59/1752 and 35/26499? 211992 Find the common denominator of 83/4902 and 33/344. 19608 What is the common denominator of 49/8829 and -115/6? 17658 Calculate the smallest common multiple of 174904 and 218630. 874520
Let u be (3/2)/(3/3). Let i = 7.9 - 3.9. What is the closest to -2/5 in -3/5, i, u? -3/5 Let h = 662 - 662.4. Let i = 4 - 9. What is the closest to h in 0, -2/19, i? -2/19 Let g be (-8)/(-36) - 26/36. Let i = -26.74 + 26.44. Which is the closest to -0.1? (a) -0.4 (b) g (c) i c Let g = 4.8 - 0.8. Let k = 71 + -75. What is the nearest to -2 in 3, g, k? k Let h = -2/2437 - -4888/17059. Let i be (-1)/(-4)*(-8)/10. What is the nearest to 2 in 0.1, i, h? h Let n = -3.93 - 0.07. Let q = -51 + 4. Let c = q - -47.4. What is the nearest to -2 in n, -0.5, c? -0.5 Let h = -5.364 + 1.364. Let n be (4/(-3))/((-10)/(-15)). Which is the nearest to -4/3? (a) h (b) 3 (c) n c Let c = 7.3 + -7. Let r = -308 + 304. What is the closest to 0 in c, r, 0? 0 Let i = -3 - -3.2. Let l = -365 - -365. What is the nearest to 0 in l, -3/2, i? l Let o be -6 - (-108)/(-63) - -8. Which is the closest to -2/7? (a) o (b) 0.15 (c) -1 b Let k(s) = -2*s + 10. Let i be k(-5). Let q be 4*(-3)/i + (-8)/(-5). What is the nearest to q in 1/2, -2/11, 0.4? 1/2 Suppose m = 3*m - 2*o + 6, 3 = -2*m - o. Let j = -123 + 122.5. What is the nearest to -0.1 in 4, j, m? j Let g = -1.53 + 1.46. What is the nearest to 1 in g, 1, -4/5? 1 Let g = 1423 - 1421. What is the nearest to -2/3 in g, -2/9, 0.13? -2/9 Let s = 1.7 - -16.9. Let v = -19 + s. Let w = 1.2 + -1.4. What is the closest to 5/2 in v, w, -2/9? w Let j = -1192 + 1193. Let t = -0.3 + 0.2. Which is the nearest to t? (a) 0 (b) -15 (c) j a Let a(u) = -u**3 - 2*u**2 - u + 10. Let x be a(2). What is the closest to 1/2 in -2, x, 1/9, 13? 1/9 Let a = -2.5 + 5.5. What is the nearest to 1 in a, 1/3, -0.9? 1/3 Let x = 1.96 + 0.04. Let o = 24.6 + -0.6. Let q = -24.5 + o. Which is the nearest to x? (a) 2 (b) 4 (c) q a Suppose -1392 = -11*d - 347. Let h = 477/5 - d. Let s = -7 - -9. What is the nearest to h in -4, 0.3, s? 0.3 Let z(h) = 7*h - 13. Let i be z(-5). Let q = i + 72. What is the closest to q in -2/13, -3, 0.3? 0.3 Let t = -25 - -3. Let z = 22.2 + t. Which is the closest to 1? (a) 0.03 (b) z (c) 2/5 c Let j = 5.325 + -0.325. Which is the closest to -0.03? (a) 2/9 (b) 0.15 (c) j b Suppose -4*z = 5*l + 21, 13 = -2*l + z + 2*z. Let i = -7.3 + -0.7. Let k = i + 7.5. What is the closest to 0 in k, l, 4? k Suppose -2*q + 25 = 5*g, -2*g + 26*q = 27*q - 10. What is the closest to 8 in 1/3, -5, 4, g? g Let r = 0.11 + 0.39. Let s = -2.65 + 23.65. Which is the nearest to 0? (a) s (b) r (c) 4 b Let u = 1866 - 1867. Let q = 1429/9 + -159. Which is the nearest to 4/5? (a) 0.4 (b) q (c) u a Let k(w) = 2*w**3 + 3*w**2 - 1. Let l be k(2). Let y = 28 - l. Which is the nearest to 0? (a) -0.3 (b) -2 (c) y a Let l be (2/(-6))/(4/(-3)). Let s = 0.13 + -0.07. Let k = s + -2.06. Which is the closest to l? (a) -1 (b) -5 (c) k a Let u = 3.06 - 0.06. Let g = u - -1. Let z = -181.2 + 181. Which is the closest to -1? (a) z (b) -4 (c) g a Let r = 5 + -3. Let t = 0.0532 - 1.0532. Which is the closest to 1? (a) -6 (b) r (c) t b Let r be (-240)/(-64) - (-1)/4. Suppose -v = -r*v - 9. Let u = 13 - 16. Which is the closest to u? (a) 0.1 (b) -1/8 (c) v c Let p be (-1 - 3/(-5))/((-488)/305). What is the closest to 2/5 in 0.2, 4/3, p? p Let l = -0.1 + 0.1. Let p = -8.6 - 0.4. Let s = -13 - p. Which is the closest to -1? (a) s (b) 3/7 (c) l c Let i = -0.418 + 0.118. What is the closest to 6 in -0.1, 0.1, -0.4, i? 0.1 Let l = -17.68 - -17.18. Which is the nearest to 1? (a) -0.18 (b) l (c) -1/5 (d) 3 a Let u = -646 - -634. Which is the closest to -0.1? (a) u (b) 3 (c) 2 (d) -3 c Let z = 0.02 + -1.02. Let d = -84.7 - -85. Which is the nearest to 2? (a) z (b) -0.3 (c) d c Let x = -5506 + 5510. Let l = 372/1253 + -2/179. Which is the nearest to 0.3? (a) 1/3 (b) x (c) l c Let x = -54.1 - -54. What is the nearest to -0.1 in -5, 1, x? x Let a(b) = -b**3 - 13*b**2 - 12*b. Let m be a(-12). Suppose m*k + k = w, 2*k - w = 1. What is the closest to 0 in -0.4, k, -3? -0.4 Let y = 5.37 + -4.9. Let m = y + -0.47. Let w = 5 + -2. What is the nearest to -2 in w, -2, m? -2 Let z = 19.93 - -0.07. Let k = z - 19.6. Which is the closest to 2/3? (a) k (b) -1 (c) 4/5 c Let f = -2756/3 - -918. Let p(o) = -o**2 + 6*o - 4. Let g be p(5). Let q = 12 - 11.5. What is the closest to f in q, g, -3/5? -3/5 Let q = 6.2 + 2.1. Let r = -8 + q. Let a = r - 0. What is the nearest to -1 in -1, 3/5, a? -1 Let s = 0.663 - 1.363. Which is the closest to 1/2? (a) 0.1 (b) s (c) -18 a Let t(o) = -26*o + 133. Let i be t(5). Let f = 1.1 - 1. Let d = f - 0.1. Which is the closest to 4? (a) 0.4 (b) d (c) i c Suppose -3*d = -3, -2*w + 2*d = w + 8. Let g be (w/3)/(34/51). Which is the nearest to g? (a) 1/3 (b) -4 (c) -2/21 c Let a = 165 + -163.3. Let c = -0.5 + 0.8. Let k = a + c. What is the nearest to -1 in 0.2, k, -1/9? -1/9 Let z be 6/4 - (2 - (-9)/(-6)). Let g = 0.2 + 0. Let f = -0.5 + g. Which is the nearest to -0.2? (a) f (b) 1/5 (c) z a Let q = -9.8 - -9.5. Let b = 2/41 + 37/82. Let n = -518/5 - -104. What is the nearest to n in b, -4, q? b Suppose -5*y = 5*n - 2*n, 3*y = -2*n. Let m = -292 + 291.9. Which is the closest to y? (a) m (b) 1/7 (c) 3/7 a Let w be -26*(-2)/42 - (-284)/2982. What is the closest to -2 in w, 3/5, 0.3, -4? -4 Let i be 6*(-2)/12*3. Let j be -5*4*i/15. What is the nearest to 3 in -0.4, 5, j? j Let l = 234 - 238. What is the nearest to l in 0.2, 5, 0? 0 Let q be -2 + 1 + (4 - 20/6). Let z = 578/5 + -115. What is the closest to 1 in z, 0.5, q? z Let p = 22/29 + 398/87. What is the nearest to -3 in p, -0.3, 2/3? -0.3 Let d = 0 + 0.3. Let g = -0.23 + 0.04. Let q = g - -0.19. What is the nearest to 1 in d, 4/3, q? 4/3 Let j = 287 - 284. Which is the nearest to -1? (a) 4 (b) j (c) 1 c Let k = 3.4 + -2.3. Let u = -1.6 - -0.7. Let o = k - u. Which is the closest to -2? (a) 1 (b) o (c) -4 c Let j be (120/320)/(6/(-4)). What is the closest to 0.2 in 2/41, j, 4, 1? 2/41 Let g = -1.77 + 1.7. Let l = -56.5 + 57. Which is the closest to g? (a) l (b) -5 (c) -3/4 a Let o be -2 + -1 + (-3464)/36 + 3. Let z = -96 - o. What is the closest to 2/5 in -2, -0.1, z? z Let s be (2/3)/(((-840)/(-225))/(-7)). What is the nearest to 0.9 in s, 0.35, -0.3? 0.35 Let m = -1 - -0.5. Let o = -699.4 + 699. What is the closest to 0.1 in 0.5, o, m? 0.5 Let u = 111/308 + 3/44. What is the nearest to 1/2 in 2/15, u, -3/2? u Let b be 2/(-6) + (-16)/(-120). What is the closest to 3 in 13, -4/7, b? b Let p = 1527 - 1526.9. Let t(z) = 4*z**2 + 4*z. Let k(y) = -2*y**2 - 2*y. Let x(d) = -7*k(d) - 3*t(d). Let q be x(-2). What is the closest to 1 in -1/2, p, q? p Let h = 1318/7 - 188. Which is the closest to -1? (a) -0.4 (b) -1 (c) h (d) 0.4 b Let b(i) = -i**2 + 4*i + 2 - 1 - 3. Let y be b(2). Suppose -4*s + 3*p = 12, -4*s = 2*p + 14 - y. What is the nearest to 3 in s, 3/2, 5? 3/2 Let r = -7 - -13. Let a = 5.6 - r. Let p = -0.4 - a. What is the closest to p in 2/23, -0.1, -5? 2/23 Let g = 9 - 48. Let r = -36 - g. What is the nearest to 1 in 8, 0, r? 0 Let o = 107.8 - 110. What is the nearest to -2 in -3, o, -4? o Let u = -33.4 - -49.7. Let l = 0.17 - 16.17. Let g = l + u. What is the closest to -0.1 in 0, -0.1, g? -0.1 Let b = 3 + -3.2. Let v be 18/(-24)*2*-4. Let n be (v - (-77)/(-14))*(-2)/4. What is the nearest to b in 3, n, 3/2? n Suppose w + 0 - 5 = 0. Let z = -20.8 + 20.7. What is the nearest to 1.7 in w, z, 0.2? 0.2 Let i = 222 + -1555/7. What is the nearest to 1 in 4, 2, i? 2 Let z = -130.7 - -131. Which is the nearest to 1? (a) z (b) 2 (c) 4 a Let j = 0.09 - -3.91. Let z(d) = -2*d**2 - d. Let k be z(1). Let g = -0.59 - -0.49. What is the nearest to g in k, -0.1, j? -0.1 Let j = -138/7 - -20. Let b = 12493 - 12492.8. What is the closest to -1 in -0.3, b, j? -0.3 Let w = 7.3 + -7. Let f = 28 + -30. Let s = 0.12 - 0.32. What is the nearest to s in f, 0.2, w? 0.2 Let v be 446*(-3)/(-18) - -1. Let o = -76 + v. Let x = -1.4 - -1.9. Which is the nearest to 0? (a) o (b) -4 (c) x c Let c = -3 + 1. Let z = -96 + 101. What is the closest to c in -2/7, 0.3, z? -2/7 Let w = 13.11 + -13. Let a = 1.11 - w. Let s = -0.231 - -0.131. What is the closest to a in 3, 2/9, s? 2/9 Let u = 0.5 + -0.2. Suppose 9 = -2*t + 3. Let q = -205.6 + 205.4. What is the closest to q in t, -1, u? u Let t = -58 + 58.1. Let x be (-5)/5*(-6)/16. Which is the closest to t? (a) 1 (b) 4/7 (c) x c Let p = -101499879/70 + 1450039. Let n = p - 111/14. Let l = 33 - n. Which is the nearest to 0.1? (a) 0.1 (b) l (c) -1/5 a
Let t(m) = 13*m + 19*m - 36*m + 6*m. Let b be 7/4 - 1/(-4). Let a(g) = -11*g + 11*g**b + 11*g. What is a(t(o))? 44*o**2 Let t(l) = 2*l**2. Let j(k) = 64*k**2 - 3. Let r(s) = 127*s**2 - 7. Suppose 2*n = 4*n + 4*d + 16, -n + d + 1 = 0. Let y(h) = n*r(h) + 5*j(h). Calculate t(y(m)). 8712*m**4 - 264*m**2 + 2 Let q(m) = -37*m + 18. Let t(l) = -12*l**2 + 142*l + 8. Calculate q(t(c)). 444*c**2 - 5254*c - 278 Let o(r) be the second derivative of -r**7/1260 + r**4/4 + 11*r**2/2 + 3*r + 24. Let q(u) be the third derivative of o(u). Let k(d) = -d. Determine k(q(l)). 2*l**2 Let w(r) = -5293*r**2 + 2. Let d(t) = -992*t. What is d(w(n))? 5250656*n**2 - 1984 Let m(n) be the second derivative of -n**3/6 - 4*n**2 + 22*n - 2. Let z(l) be the third derivative of l**5/60 - 3*l**2. Give m(z(y)). -y**2 - 8 Let y(b) be the third derivative of -b**5/2 + b**2. Let x(c) be the first derivative of 1/2*c**2 + 135 + 0*c. What is y(x(s))? -30*s**2 Let m(w) = 9*w**2. Let d(a) = 8832327*a**2. What is d(m(t))? 715418487*t**4 Let l(m) = -460459*m. Let r(i) = -236*i**2 - 3*i. Give l(r(s)). 108668324*s**2 + 1381377*s Let v(y) = -2420*y. Let s(i) be the third derivative of -i**5/60 + 5*i**2 - 949*i. Determine v(s(t)). 2420*t**2 Let t(k) = -49*k. Let a(s) = 11989317*s**2. What is t(a(z))? -587476533*z**2 Let z(k) = -8*k**2. Let j = -17910 - -17910. Let f(l) be the second derivative of 0*l**2 + 1/4*l**4 - 27*l + j + 0*l**3. What is z(f(d))? -72*d**4 Let u(s) = -2*s**2. Let i(o) be the second derivative of 0 + 9*o**3 - 1/2*o**2 - 77*o. Give u(i(f)). -5832*f**2 + 216*f - 2 Let c(g) = -2*g**2. Let b(o) be the second derivative of o**4/6 - 30*o**2 + 2*o - 91. What is c(b(d))? -8*d**4 + 480*d**2 - 7200 Let p(a) = 23*a + 3. Let q(k) = -1599*k**2 + 494*k - 1235. Let t(h) = -13*h**2 + 4*h - 10. Let j(l) = 2*q(l) - 247*t(l). Give p(j(c)). 299*c**2 + 3 Let i(g) = 14*g**2 - 425. Let x(o) = o**2 - 89*o. Calculate x(i(z)). 196*z**4 - 13146*z**2 + 218450 Let x(t) = 2*t**2. Let m(d) = -27*d**2 - 5*d - 12. Let u(l) = -30*l**2 - 6*l - 14. Let s(y) = -7*m(y) + 6*u(y). Calculate x(s(i)). 162*i**4 - 36*i**3 + 2*i**2 Let d(t) = 15 + 175 + 18 - 2*t**2. Let b(q) = -2*q**2 - 32*q - 52. Let y(g) = 2*g**2 + 24*g + 39. Let w(k) = 3*b(k) + 4*y(k). What is w(d(z))? 8*z**4 - 1664*z**2 + 86528 Let q(x) be the third derivative of 1/3*x**5 + 0*x + 0*x**4 + 0 - 127*x**2 + 0*x**3. Let h(n) = -4*n**2. Give q(h(m)). 320*m**4 Let y(w) = -4*w. Suppose 3*j - 2150 = 2*u, -j + 3*j + 5*u = 1446. Let o(k) = k + 4. Let a be o(4). Let h(q) = -718 - a*q + j. Determine h(y(g)). 32*g Let f(p) be the second derivative of -p**4/12 - 95*p. Let w(y) = 17*y**2 + 8. What is f(w(d))? -289*d**4 - 272*d**2 - 64 Let l(w) = -5*w. Let i(p) = -3*p - 1736152. What is i(l(u))? 15*u - 1736152 Let w(b) = 2*b**2 + 5*b - 29. Let h be w(-6). Let t(f) = -11*f**2 + 2*f + h - 13. Let q(o) = -2*o**2. Determine q(t(p)). -242*p**4 + 88*p**3 - 8*p**2 Let i(h) = 2232*h**2. Let t(v) = -200*v + 3. Calculate t(i(l)). -446400*l**2 + 3 Let k(b) be the third derivative of 0*b - 3/20*b**5 - 3 + 0*b**4 + 0*b**3 - b**2. Let n(z) = 3*z**2. Determine n(k(c)). 243*c**4 Let v(s) = s**2. Let k(m) = -m**3 - 3*m**2 - 4*m + 2. Let y be k(-4). Let f(w) = -52 - 32*w + 18 + y. Give v(f(t)). 1024*t**2 Let n(h) = -3*h**2. Let o(b) = -14*b**2. Let m(f) = 5*n(f) - o(f). Let w(l) = -8026*l**2. Give w(m(y)). -8026*y**4 Let r(q) = 415*q. Let m(p) be the first derivative of 4*p**3/3 - 6447. Determine m(r(v)). 688900*v**2 Let x(j) = 13*j**2. Let r(f) = 6435689*f**2. What is r(x(v))? 1087631441*v**4 Let s(z) = 75*z. Let a(d) = -3*d**2 + d + 12. Let g be a(0). Let j(k) = -9*k - g + 12 + 7*k. Give j(s(i)). -150*i Let z(s) = -83*s - 65*s - 5123*s**2 + 214*s - 66*s. Let u(l) = 2*l**2. What is z(u(b))? -20492*b**4 Let s(g) be the first derivative of g**2 - 4929. Let y(t) = 14*t**2 + 77. Determine s(y(r)). 28*r**2 + 154 Let k(c) = 3*c. Suppose -2*d = 6 - 12. Suppose -5*b = 2 + d. Let o(t) = 4*t - 4. Let v(m) = m + 1. Let l(n) = b*o(n) - 4*v(n). What is l(k(y))? -24*y Let v(c) = 20*c. Let u(o) be the third derivative of o**6/180 - 7*o**4/12 - o**3/6 + 30*o**2. Let b(i) be the second derivative of u(i). Give b(v(l)). 80*l Let m(u) be the first derivative of 4 + 0*u + 1/2*u**2. Let r(l) = -11 + 3*l - 13 + 24. Calculate m(r(j)). 3*j Let h(i) = 3*i + 117. Let q(x) = 2*x + 104. Let u(m) = -8*h(m) + 9*q(m). Let d(k) = 4*k + 36. Determine d(u(y)). -24*y + 36 Let u(b) be the third derivative of -89*b**5/12 - 2*b**2 - 4*b + 34. Let z(i) = -3*i**2. Calculate z(u(m)). -594075*m**4 Let q(l) = 38*l**2. Let h(i) = -151*i**2 - 616*i**2 - 240*i**2. Let a(u) = 5*h(u) + 133*q(u). Let s(g) = -7*g**2. Give a(s(n)). 931*n**4 Let h(p) = -2*p. Let g(a) = -2*a**2 + 385*a - 467511. What is g(h(s))? -8*s**2 - 770*s - 467511 Let j(f) = 14*f. Let y(i) = -343 + 20*i**2 + 1135*i + 343 - 1137*i. What is j(y(u))? 280*u**2 - 28*u Let o(l) = 28720*l**2 - 14356*l**2 - 14363*l**2. Let s(p) = 71*p**2. Determine o(s(v)). 5041*v**4 Let z(a) = -23281*a. Let k(q) = 62*q. Give z(k(f)). -1443422*f Let s(r) = -2*r. Suppose 2*w - 154 = 13*w. Let t(i) = -13*i - 1. Let d(g) = 4*g. Let l(o) = w*d(o) - 4*t(o). Determine s(l(j)). 8*j - 8 Let o(c) = -262*c**2 + 39168*c. Let k(v) = 12*v. Give k(o(l)). -3144*l**2 + 470016*l Let t(n) = -27*n**2 + 2*n. Let v(k) = 12227*k**2. Determine t(v(o)). -4036487283*o**4 + 24454*o**2 Let r(l) = 2*l. Let b(h) = 32*h + 144367. Calculate r(b(u)). 64*u + 288734 Let z(i) be the third derivative of -11*i**4/8 - i**2. Let w(m) be the third derivative of m**4/12 + 11340*m**2. Determine w(z(g)). -66*g Let v(x) = 120*x**2 + 3*x + 1. Let c(d) = -4*d + 8. Give v(c(y)). 1920*y**2 - 7692*y + 7705 Let s(v) = 3*v. Let h(a) = 16*a + 18. Let c(m) = 5*m + 6. Let n(g) = 11*c(g) - 4*h(g). What is s(n(w))? -27*w - 18 Let c(y) be the second derivative of -139*y**3/6 + 48*y. Let h(g) = -3*g. Determine h(c(a)). 417*a Let n(a) = 25*a. Let s(g) = 2*g**2 + 8*g + 3293. Determine n(s(t)). 50*t**2 + 200*t + 82325 Let j(l) = -3*l. Let z(d) = d**3 + 16*d**2 + 17*d + 30. Let c be z(-15). Let g(n) = 2*n + c*n - 16*n - 4*n + n**2 - 3*n. Determine g(j(b)). 9*b**2 + 63*b Let i(c) = c. Let y(w) be the second derivative of 0*w**3 - 27/4*w**4 + 20*w + 0*w**2 - 1. What is y(i(p))? -81*p**2 Let f(j) = 3*j**2 + 4. Let o(m) = 8 - 6 - 9 + 0 + 1. Let z(t) = -t + 10. Let i(k) = 5*o(k) + 3*z(k). Determine i(f(p)). -9*p**2 - 12 Let c(g) = -2*g. Let z(v) = -4*v + 2. Let l(f) be the third derivative of 0 + 5/6*f**3 - 1/3*f**4 + 0*f - 5*f**2. Let o(y) = -2*l(y) + 5*z(y). What is o(c(m))? 8*m Let g(z) = -6*z. Let t be (-7 + 3)*(1 + -55 + 1). Let r(w) = 204*w - 427*w + t*w. What is g(r(m))? 66*m Let z(u) = -65. Let m(x) = 3*x - 104. Let g(t) = 5*m(t) - 8*z(t). Let o(l) = 56*l - 21. Let p(d) = -11*d + 4. Let v(s) = 4*o(s) + 21*p(s). Calculate v(g(k)). -105*k Let v(q) = -629303*q. Let n(z) = -3*z**2 + 30. Determine v(n(o)). 1887909*o**2 - 18879090 Let j(u) = -1143*u**2. Let a(l) = 3*l**2 - 2874*l. What is a(j(z))? 3919347*z**4 + 3284982*z**2 Let r(n) = 2*n**2. Let u = 560 - 798. Let s be (-5 - u) + 1 + -2. Let c(q) = -9*q + s - 232 - 19*q. Calculate r(c(o)). 1568*o**2 Let g(t) = -3*t. Let l(s) be the second derivative of -6*s**3 + 3*s**2/2 + 269*s. Calculate l(g(f)). 108*f + 3 Let y(l) be the second derivative of -l**3/6 + 2*l. Suppose 0 = 3*g + g + 5*k - 25, -5*g = -k - 53. Let f(t) = g*t**2 - 18 - 14 + 32. Give y(f(w)). -10*w**2 Let c(s) be the third derivative of s**5/30 + 1927*s**2. Let f(n) = -104*n**2. What is f(c(o))? -416*o**4 Let v(r) = -1851557*r - 1. Let m(c) = 6*c + 3. What is v(m(z))? -11109342*z - 5554672 Let x(o) = 276 + o**2 - 276. Let g(v) = 11*v**2 + 4*v - 4*v + 11*v**2. What is x(g(j))? 484*j**4 Let t(g) = -185543*g. Let d(p) = -9*p**2. Determine d(t(x)). -309835843641*x**2 Let r(u) = -2*u**2. Let o(z) = -z**3 + z + 4. Let j be o(0). Suppose j*d - 11 = -3. Let q(t) = -d*t**2 + 3377*t - 3377*t. Give q(r(n)). -8*n**4 Let y(s) = -58*s. Let w(l) = 5*l**2 + l + 5. Let k(o) = -26*o**2 + o - 30. Let j(f) = k(f) + 6*w(f). What is y(j(n))? -232*n**2 - 406*n Let l(k) = 3*k**2. Let s(c) = -9*c**2 - 99*c + 4. Let q be s(-11). Let z(t) = q + 2*t - 1 - 5 + 0*t + 4. Calculate l(z(g)). 12*g**2 + 24*g + 12 Suppose -10*h + 29 = 9. Let q = -7 + 9. Let l(w) = -4*w - 5*w**h + 4*w - 3*w**q. Let z(u) = 2*u. Give l(z(k)). -32*k**2 Let k(o) = -200*o. Let j(r) = -649*r - 678*r + 1975*r - 661*r. Give k(j(l)). 2600*l
Collect the terms in -34 - 28 + 52 + 10 - 42*m. -42*m Collect the terms in -1104*m**3 - 1652*m - 2*m**2 + 1649*m + 2*m**2. -1104*m**3 - 3*m Collect the terms in 8*d**3 + 7*d**3 + 13*d**3 - 6*d**3 - 2*d**3. 20*d**3 Collect the terms in -1421*h + 4 + 9 - 13. -1421*h Collect the terms in 7*w**2 + 18*w + 5*w**2 - 3*w**2 + 20*w - 37*w - 8*w**2. w**2 + w Collect the terms in -17*z**2 - 2*z + 0 + 14*z**2 + 22. -3*z**2 - 2*z + 22 Collect the terms in -558*a + 1137*a - 571*a. 8*a Collect the terms in -472 - 494 + 16*a + 966. 16*a Collect the terms in 27*v**3 - 9*v**3 - 19*v**3 - 64*v**3. -65*v**3 Collect the terms in 24*y**2 + 729*y**2 + 233*y**2. 986*y**2 Collect the terms in -194 + 497*a**2 + 196 + 55*a**2. 552*a**2 + 2 Collect the terms in -8893*y**2 + 2 + 4029*y**2 - 6566*y**2 + 0. -11430*y**2 + 2 Collect the terms in -54107781 - 135*j**2 + 54107781. -135*j**2 Collect the terms in 283 + 77*f**2 - 138 - 68*f**2 - 145. 9*f**2 Collect the terms in -175126956 + 175126956 - 2*y. -2*y Collect the terms in n**3 + 34351951*n**2 - 34351951*n**2. n**3 Collect the terms in -589*r - 288*r + 300*r. -577*r Collect the terms in -24*l + 56002 + 55995 - 111997. -24*l Collect the terms in 2*n**2 + 452536392*n - 452536392*n - 8*n**2. -6*n**2 Collect the terms in -63*k - 59*k - 10*k - 38*k. -170*k Collect the terms in -4710 + 23*t - 4703 - 4705 + 14118. 23*t Collect the terms in -87*c**3 - c - 682*c**3 + c - 619*c**3. -1388*c**3 Collect the terms in -483344*r - 11*r**2 - 1 + 483344*r. -11*r**2 - 1 Collect the terms in 152*o**3 + 3 + 32 - 35. 152*o**3 Collect the terms in -3*n + 0*n**2 + 0*n**2 - 38*n - 3*n**3. -3*n**3 - 41*n Collect the terms in 3980*f - 3962*f - 5 + 5. 18*f Collect the terms in -13445*x**2 + 249569*x**2 - 7219*x**2. 228905*x**2 Collect the terms in -6*i**2 + 2234*i - 2234*i. -6*i**2 Collect the terms in -4*r + 5339 - 5343 + 9*r. 5*r - 4 Collect the terms in -6*u**3 - 9*u**2 - u**2 - u**3 + 1 + 10*u**2. -7*u**3 + 1 Collect the terms in -52*g**2 + 1560 + 30*g**2 + 21*g**2. -g**2 + 1560 Collect the terms in 1272*p**3 - 27*p**2 + 46*p**2 - 2540*p**3 - 19*p**2 + 1272*p**3. 4*p**3 Collect the terms in -343*l - 240*l + 154*l. -429*l Collect the terms in 177*y**2 - 812*y**2 + 215*y**2 + 186*y**2 + 177*y**2. -57*y**2 Collect the terms in 20*g**2 + 8*g**2 + 98*g**2 + 41*g**2. 167*g**2 Collect the terms in 15 + 5 + 0*p - 32 + 10 - 3*p. -3*p - 2 Collect the terms in -204649*m + 409298*m - 204644*m. 5*m Collect the terms in -53*i**2 - 224 + i**2 + 450 - 226. -52*i**2 Collect the terms in 33*a**2 - 4*a + 5*a + 351*a**2 + 0*a. 384*a**2 + a Collect the terms in c - c - 73*c**2 + 86*c**2 + 0*c. 13*c**2 Collect the terms in -1744*o**2 - 6377*o**2 - 745*o**2. -8866*o**2 Collect the terms in 40*n + 124*n + 14*n. 178*n Collect the terms in -793*v**2 - 770*v**2 + 1557*v**2. -6*v**2 Collect the terms in 77*k**3 + 45*k**3 - 221*k**3 + 48*k**3 + 45*k**3. -6*k**3 Collect the terms in 17*s - 35*s + 13 + 3*s + 9*s + 17*s. 11*s + 13 Collect the terms in -144776424*c**2 + 144776424*c**2 - 25*c**3. -25*c**3 Collect the terms in 112 - g - 43 - 33 - 26. -g + 10 Collect the terms in 145*y**3 - 152*y**3 - 7*y**3. -14*y**3 Collect the terms in 39*u**3 + 54*u**3 - 111*u**3. -18*u**3 Collect the terms in -78 - 4*a - 189*a + 35 + 42. -193*a - 1 Collect the terms in -2*b - 193222 + 193222. -2*b Collect the terms in -1953*m**2 + 577*m**2 - 529*m**2. -1905*m**2 Collect the terms in -5*x + 490418 - 490418 + 10*x. 5*x Collect the terms in 5*a**2 + 80*a - 465*a + 385*a. 5*a**2 Collect the terms in 21657 + 2*f - 43302 + 21653. 2*f + 8 Collect the terms in -63*t**2 + 142*t**2 - 71*t**2 - 9*t**2. -t**2 Collect the terms in c + c - 31*c**2 - 2*c - 50 + 52. -31*c**2 + 2 Collect the terms in -17*p - 13*p - 8*p - 8*p + 43*p. -3*p Collect the terms in 0 + 2 - 2 - 77076*z. -77076*z Collect the terms in 1824*u**3 + 59*u - 59*u. 1824*u**3 Collect the terms in 82*z + 80*z + 68*z. 230*z Collect the terms in 36*m**3 - 21*m**2 + 31*m**3 - 5*m**2 - 71*m**3. -4*m**3 - 26*m**2 Collect the terms in -362*t**2 - 530 + 1063 - 533. -362*t**2 Collect the terms in -12*h - 56*h + 100*h + 119*h. 151*h Collect the terms in 3481*b**2 + 1716*b**2 + 7122*b**2 + 7685*b**2. 20004*b**2 Collect the terms in 51*y - 51*y - 22*y**3 - 14*y**3. -36*y**3 Collect the terms in 34*z**2 + 20*z**2 + 14*z**2 + 12*z**2 - 43*z**2. 37*z**2 Collect the terms in -1378 - 1555 + d + 286. d - 2647 Collect the terms in -3327 - 3296 + 6623 - 4*r**2. -4*r**2 Collect the terms in 20*v + 85*v + 6*v + 4*v. 115*v Collect the terms in 253*y**3 - 13*y**2 + 13*y**2 - 32*y**3. 221*y**3 Collect the terms in -21*r**3 - 17 + 26*r**3 + 38 - 21. 5*r**3 Collect the terms in -103*u**2 - 105*u**2 + 403*u**2 - 95*u**2 - 101*u**2. -u**2 Collect the terms in -38*b**2 + 17*b**2 - 32*b**2 + 84*b**2 - 30*b**2. b**2 Collect the terms in 2045*v**2 - 4071*v**2 - 28*v**3 + 2026*v**2. -28*v**3 Collect the terms in -342 - 12 + i - 202 - 6. i - 562 Collect the terms in 116*n**3 + 158*n**3 - 436*n**3 + 124*n**3. -38*n**3 Collect the terms in 5*f + 2*f + 0 - 2*f - 2 - 2. 5*f - 4 Collect the terms in 11*v - v + 2*v - v - 14*v. -3*v Collect the terms in -58 + 216 - 158 + 30*x**2. 30*x**2 Collect the terms in -1203*s + 1205*s - 8 + 8. 2*s Collect the terms in 130*q**3 - 395*q**3 + 271*q**3. 6*q**3 Collect the terms in 11*u**3 + 131*u - 56*u - 17*u**3 - 75*u. -6*u**3 Collect the terms in -2998*l**3 + 2932*l**3 - 3*l**2 + l**2. -66*l**3 - 2*l**2 Collect the terms in 44*i**2 + 1984*i**3 + 35*i**2 + 38*i**2 - 117*i**2. 1984*i**3 Collect the terms in 45*y**2 + 87115*y + 12*y**2 - 87115*y. 57*y**2 Collect the terms in -39586*b + 79195*b - 39595*b. 14*b Collect the terms in -194*d**2 + 43*d - 43*d. -194*d**2 Collect the terms in o - o + 13 - 8 - 11 - 2*o + 12. -2*o + 6 Collect the terms in 4 + 35*i**2 - 5 + 36*i**2. 71*i**2 - 1 Collect the terms in 1842*g + 2992*g + 341*g. 5175*g Collect the terms in -6*o - 45960*o**2 + 6*o. -45960*o**2 Collect the terms in 1061*p + 52*p**2 - 4*p**3 + 1076*p - 2137*p - 52*p**2. -4*p**3 Collect the terms in -294*q**3 + 78*q**3 - 1 + 1 + 98*q**3. -118*q**3 Collect the terms in 38095*o - 7*o**3 - 38095*o. -7*o**3 Collect the terms in 755*d + 255*d + 342*d - 209*d. 1143*d Collect the terms in 3*k - 2*k + 11*k - 3*k - 7*k. 2*k Collect the terms in -4190*u**2 + 12575*u**2 - 4187*u**2 - 4191*u**2. 7*u**2 Collect the terms in -6547*a**2 + 3266*a**2 + 3253*a**2. -28*a**2 Collect the terms in 913*y**2 + 224*y**2 - 386*y**2 + 1136*y**2. 1887*y**2 Collect the terms in 95*y - 5 - 18*y - 77*y + 115*y**3. 115*y**3 - 5 Collect the terms in 25 - 25 + 278468*m**3. 278468*m**3 Collect the terms in -113 + g**3 + 12 + 1 + 89 + 11. g**3 Collect the terms in 35*o**2 - 8*o + 8*o + 59*o**2 - 90*o**2. 4*o**2 Collect the terms in -17*c**2 - 4658*c + 4658*c + 28*c**2 - 13*c**2. -2*c**2 Collect the terms in 4*v + 6*v**3 - 4*v - 16 - 7 + 4*v**2. 6*v**3 + 4*v**2 - 23 Collect the terms in -4*t + 25658376*t**3 + 4*t - 25658375*t**3. t**3 Collect the terms in -76*u + 42*u + 36*u. 2*u Collect the terms in 43*f - 6*f**2 - 54*f + 5*f**2. -f**2 - 11*f Collect the terms in 2682*f**2 - 1321*f**2 - 1295*f**2. 66*f**2 Collect the terms in 46*v + 1166 - 1166 + 10*v**2. 10*v**2 + 46*v Collect the terms in -961*o + 340*o + 300*o + 333*o. 12*o Collect the terms in 466821 - 466821 + 16*m**3. 16*m**3 Collect the terms in -90*c**2 + 531*c**2 + 0*c + c - 38 + 38. 441*c**2 + c Collect the terms in -2530403*p**3 + 2530400*p**3 + 10*p**2 - 10*p**2. -3*p**3 Collect the terms in 903*q - 2760*q + 954*q + 0*q**3 - 2*q**3 + 903*q. -2*q**3 Collect the terms in 822*o + 829*o - o**2 - 3308*o + 826*o + 831*o. -o**2 Collect the terms in -483 + 19 + 26 - 148 - 10*f. -10*f - 586 Collect the terms in -29950*p**2 + 59900*p**2 - 29944*p**2. 6*p**2 Collect the terms in -5*w + 12*w - 4*w - 6 + 10*w - 10*w - 4*w. -w - 6 Collect the terms in -188*g**2 - 172*g**2 + 3*g + 377*g**2. 17*g**2 + 3*g Collect the terms in -204*h**2 - 6 + 204*h**2 - 7*h**3. -7*h**3 - 6 Collect the terms in -16 + 27*n + 4 + 12 + 6*n. 33*n Collect the terms in 9655 - 7*m - 19271 + 9639. -7*m + 23 Collect the terms in 262*c + 39*c + 43*c. 344*c Collect the terms in 12*g**2 - 14*g**2 + 13*g**2. 11*g**2 Collect the terms in 818*d - 818*d + 5*d**3 + 21. 5*d**3 + 21 Collect the terms in 1478*t**3 + 1527*t**3 - 1066*t**3 + 355*t**3. 2294*t**3 Collect the terms in -58855 + 35*j + 58855. 35*j Collect the terms in -6*s**2 + 16*s**3 - 31*s**3 - 7*s**2 + 13*s**2. -15*s**3 Collect the terms in 47*q - 20*q + 7*q - 18*q. 16*q
Let h(o) = -25*o - 1. Suppose 4*d - 2*g = -10, -4*d + 0*d - 4*g = 40. What is the hundreds digit of h(d)? 1 What is the thousands digit of (-2)/6 - (57935/(-15))/1? 3 Let v(y) = -42*y**3 + y**2 + 6*y + 4. Let w(f) = 43*f**3 - f**2 - 7*f - 5. Let l(n) = -6*v(n) - 5*w(n). Let b = -17 - -18. What is the units digit of l(b)? 6 Let v(o) = o**2 + o - 85. What is the tens digit of v(-26)? 6 Suppose 0 = -17*z - 1383 + 19845. What is the hundreds digit of z? 0 Let u = 1148 - 753. What is the units digit of u? 5 Let h(d) = -6*d**2 + d - 5. Let k(g) = 2 + g - 2*g**2 - 3*g**2 - 1 - 5. Let y(a) = 3*h(a) - 4*k(a). What is the tens digit of y(-3)? 2 Let q(f) = 14*f**2 - f - 1. Let j be q(2). Let b = j + -18. What is the tens digit of b? 3 Let s(j) = 8*j**2 + 15*j + 31. What is the hundreds digit of s(-8)? 4 Suppose -2*v - v = -5*p + 2482, -4*v = p - 501. Let q = -353 + p. What is the units digit of q? 4 Let z(r) be the second derivative of 0 - 6*r**2 - 3*r + 1/12*r**4 + 4/3*r**3. What is the units digit of z(-11)? 1 Let g(r) = r**3 - 10*r**2 + 20*r - 15. What is the hundreds digit of g(10)? 1 Let h(n) = 43*n - 21. Let j(o) = 22*o - 11. Let v(q) = 2*h(q) - 5*j(q). What is the units digit of v(-5)? 3 Let z(f) = -84*f - 42. What is the hundreds digit of z(-7)? 5 Let o be 1 - (-1)/1 - -2. Suppose o*i - 74 = m, -5*i + 3*m + 87 = -9. Suppose 3*r = 5*r - i. What is the units digit of r? 9 Let h be 6836/6 + 28/42. Suppose 52*v + h = 57*v. What is the tens digit of v? 2 Suppose 19 + 2 = -3*v. Let x be 10/40 + v/(-4). What is the tens digit of x/7 + 2160/84? 2 What is the hundreds digit of -755*-1*(-6)/(-5)? 9 What is the thousands digit of (-1 - -9 - 9) + 1307? 1 Let w = 28 - 25. Suppose 0 = b, -w*c - 3*b = -2*c - 37. Suppose 2*h = 4*z + 54, h + 2 = 4*z + c. What is the tens digit of h? 1 Suppose 40 = 3*q + 2*q. Let i = q + -1. What is the units digit of (i + -3)*(-5)/(-4)? 5 Let y be 4/12 + 5/3. What is the units digit of y/6 - 82/(-6)? 4 Let d(s) = s**3 - 5*s**2 - 50. What is the tens digit of d(10)? 5 Let h(r) = -r**2 + 7*r - 4. Let a be h(6). Suppose 4*w + 51 = -z, 0 = -w - z - 0*z - 9. What is the units digit of 1/a + (-7)/w? 1 Let d = -5 - 3. Let m = -5 - d. What is the tens digit of (90*m/3)/2? 4 Let m(c) = -2*c**3 - c**2 + 2*c. Let z be m(0). Let u = -23 + 13. Let o = z - u. What is the units digit of o? 0 What is the hundreds digit of (-7080)/(-40) + (-6)/1? 1 Suppose -3*z = 4 - 16. Suppose 5*h - k - 265 = z*k, -3*k + 45 = h. What is the units digit of h? 1 What is the hundreds digit of 3251 - -22 - (0 + 3)? 2 Let s = -14 - -14. Let x = -2 + 7. Suppose 2*k - 3*l - 37 = s, -4*l = x*k + l - 80. What is the units digit of k? 7 Suppose 2416 - 8566 = -10*a. What is the units digit of a? 5 Let o(k) = 13*k**2 - 1. Let a be o(1). Suppose -3*z = a - 0, z - 11 = -q. Let i = 43 - q. What is the units digit of i? 8 Let b = -40 - -39. What is the tens digit of 66/(-33) - (-68 - (0 - b))? 6 Let c be (-2586)/24 - 1/4. Let k = 207 + c. What is the units digit of k? 9 Let g be 4 - ((-1)/1 - -3). Suppose -80 = g*v - 3*v. Suppose 0 = -5*y - 0 + v. What is the tens digit of y? 1 What is the units digit of ((-1935)/9)/((-2)/14)? 5 Let c be (-57)/95*(-20)/6. Let h = 2 + c. Suppose -5*d = -2*v - 59, -14 = 2*d - 4*d - h*v. What is the tens digit of d? 1 Let l(x) = 12*x - 9. Let f be l(4). Suppose -t + 5*d + 77 = -f, -5*d - 10 = 0. What is the hundreds digit of t? 1 Let x(j) = 93*j + 627. What is the tens digit of x(10)? 5 Let k = -368 + 2262. What is the tens digit of k? 9 Let w(a) = a**3 + 2*a**2 - a + 16. What is the hundreds digit of w(9)? 8 Let h(u) = 7*u**2 + 3*u - 11. Let d be h(-4). Suppose 125 = -84*f + d*f. What is the tens digit of f? 2 Suppose -k + 32 = -3. Let s = 99 + k. What is the units digit of s? 4 Suppose 3*p + 2*p = 490. Suppose -3*c + 1 = -p. Let n = c - 22. What is the units digit of n? 1 Let l = -62 + 62. Suppose -7*y + 223 + 351 = l. What is the tens digit of y? 8 Suppose 4*n - 6509 = 4215. What is the hundreds digit of n? 6 Suppose 2*u = 7 - 3. Let m(i) = i + 4 - 6 + 6*i**u + 2*i - i**3 - 4. What is the tens digit of m(6)? 1 Suppose -f = -2*f + 25. Suppose -y - f = -6*y, -5*i + 140 = y. What is the tens digit of i? 2 Suppose -60 = -0*r + 5*r. Let o = r + 32. What is the units digit of o? 0 Suppose -l + 10 = 4*l. Suppose l*i = 4*i - 5*q - 16, 0 = 4*i - 3*q - 32. Suppose -i*o + 322 = -o. What is the tens digit of o? 4 Let z(x) = 3*x + x**3 + 4*x**2 - 2*x - 6*x. Let o be z(-4). Let k = 30 - o. What is the units digit of k? 0 Let f(s) = s**2 + 14*s + 36. Let a be f(-11). Suppose -6*p + 3*j = -3*p - 597, 2*p + a*j = 408. What is the units digit of p? 1 Let x(z) = 2*z**2 - 6*z + 5*z - 3*z - 31 + 13*z. What is the tens digit of x(7)? 3 Let x = 1 - -79. What is the tens digit of (-248)/(-10) - (3 + x/(-25))? 2 What is the units digit of ((-5)/((-25)/3105) - -4) + 5? 0 Let x = 11 + 49. Let j be ((-8)/(-10))/((-8)/x). What is the tens digit of j/(-2)*124/12? 3 Let u(t) = -33*t + 3. Let d be u(3). Let v be 50/(-2)*d/40. Let m = v + -14. What is the units digit of m? 6 Let s = -63 - -102. Suppose c + 4*f - s = 41, -c + 70 = 2*f. What is the units digit of c - (-2 - -9 - 3)? 6 Suppose 0*t = -t - 1. Let z(a) = -a**3 - 9*a**2 - 10*a - 12. Let y be z(-8). What is the units digit of t - y/((-4)/31)? 0 Suppose -x = 0, 0 = o - x - 0*x - 17. What is the tens digit of o? 1 Suppose q + 2*q - 9 = 0. Suppose -f + 4*v = 20, q*f + 5*v - 15 = 2*v. What is the tens digit of (-66)/(-2) + f/3? 3 Let i(r) = 6*r**2 + 2*r + 16. Let l = 159 - 164. What is the units digit of i(l)? 6 Suppose 7 = 4*n - 9. What is the units digit of 10/n + (-75)/(-30)? 5 Suppose 6*n - 11*n - 45 = 0. Let f = n - -150. What is the tens digit of f? 4 What is the units digit of ((-6)/10)/(39/(-147355))? 7 Suppose 5*u + p + 86 = 2*p, -2*p + 53 = -3*u. Let r = u + 42. Let n = r + -7. What is the tens digit of n? 1 Let j(b) = -8*b**2 - 113*b - 12. Let o be j(-13). Let i(n) = n. Let r be i(4). Suppose -5*u = -2*v - o, 4*v + 68 = r*u - 4. What is the tens digit of u? 2 Let o = -124 + 268. Let i = o + -108. What is the units digit of i? 6 Suppose -4*x - 4 = -12. Suppose -4*c + 4*z = -120, -c - 3*z - 40 = -x*c. What is the tens digit of c? 2 Let s be 2/(-5) - (-657)/(-45). Let n = s - -17. Suppose i - n = -2*a, -1 = 3*a + 5*i + 3. What is the units digit of a? 2 Let l = 11 - 248. What is the units digit of (1*(-2)/3)/(2/l)? 9 Suppose 11424 = 63*v - 57*v. What is the hundreds digit of v? 9 Let x(f) = 3*f**2 - 3*f + 7. Let l be x(-5). Suppose 0 = 5*h - 118 - l. What is the units digit of h? 3 Suppose -2*i - 3 + 15 = 0. Let w(a) = 2*a**3 - 9*a**2 + 7*a - 13. Let y be w(i). Let g = y + -86. What is the units digit of g? 1 Suppose -8 - 56 = -2*j - 4*g, 0 = 2*j - 4*g - 24. Let t be 1/(-2) - (-554)/4. Suppose j = 4*u - t. What is the units digit of u? 0 Let m be -6 - 70/(-4) - 1/(-2). Let q(z) = -z**3 + 15*z**2 - 23*z + 2. What is the tens digit of q(m)? 5 What is the hundreds digit of (-16497)/(-39) - 0/(-2)? 4 Let r = 3067 + -2344. What is the tens digit of r? 2 Suppose -f + 1684 = -1148. What is the units digit of f? 2 Let m(q) = -q + 13. Suppose 76 - 11 = 5*c. Let s be m(c). Suppose -5*p + 10 = -s. What is the units digit of p? 2 What is the units digit of 38/((1 + 2)/21)? 6 Let x(q) = 23*q + 22. Let m be x(-10). What is the tens digit of m/(-5) - (-6)/(-10)? 4 Suppose 4410 = -12*n + 17*n. What is the units digit of n? 2 Let t be -4*1*(-9)/(-4). Let g(x) = -24 + 11 + 12 - 2*x. What is the units digit of g(t)? 7 Suppose -4*t - 10854 = -2*k, 223*k = 225*k + 5*t - 10836. What is the units digit of k? 3 Let q(y) be the first derivative of -131*y**2/2 - 15*y + 33. What is the hundreds digit of q(-2)? 2 Suppose 2*x = -4*x. Suppose x = 4*h - 0*m + 3*m - 29, -5*h + 4*m + 13 = 0. What is the units digit of h? 5 What is the units digit of 113392/60 - 34/(-255)? 0 Let m = -62 + 37. Let d = m + 34. Suppose -6*z = -d*z + 96. What is the units digit of z? 2 Suppose 10*s - 458 - 1122 = 0. Suppose 3*d = 5*d - 5*u - s, -5*d + 461 = 4*u. What is the tens digit of d? 8 Let u(k) = 3*k + 0*k**3 - 3*k**2 - 5*k + k**3 + 2 - 6. Let g be u(4). Suppose -j = -0*h + 5*h - 1, 0 = -g*j - 16. What is the units digit of h? 1 Let g(i) = 137*i**2 + 9*i - 14. What is the tens digit of g(2)? 5 Suppose 7 - 11 = -2*q. Suppose q*x = 3*w + 91, -4*x = -5*x - 4*w + 62. What is the tens digit of x? 5 Let t(z) = -2*z**2 - 4*z - 2. Let j be t(-2). Let r be ((-3)/(-2))/(((-78)/(-160))/13). What is the tens digit of r/(-6)*3/j? 1
Let g(q) = 2*q**2 + 2*q + 1. Determine g(-1). 1 Let h(n) = -2*n**3 - 17*n**2 - 8*n + 7. Determine h(-8). 7 Let h(o) = o**3 - 16*o**2 - 18*o + 7. Give h(17). -10 Let k(q) = q**2 + 4*q + 14. Calculate k(-3). 11 Let b(s) = 3*s**2 + 68*s + 40. Determine b(-22). -4 Let c(k) = -k**3 - 12*k**2 + k + 3. Calculate c(-12). -9 Let k(m) = -4*m - 55. Determine k(-13). -3 Let b(t) = 14*t + 166. What is b(-11)? 12 Let z(b) = -6*b + 91. Calculate z(13). 13 Let t(u) = u**3 + 2*u**2 + 5. What is t(-3)? -4 Let l(s) = -10*s**3 - 3*s**2 + s - 1. Give l(2). -91 Let t(s) = -s**2 + 13*s - 5. What is t(8)? 35 Let g(q) = -q**2 - 11*q - 27. What is g(-3)? -3 Let y(g) = g**3 - 12*g**2 - 2*g + 24. Determine y(12). 0 Let m(c) = c**3 - 5*c**2 - 4*c + 4. Give m(3). -26 Let u(n) = -2*n. Determine u(-2). 4 Let c(f) = 2*f**2 + 107*f + 48. Give c(-53). -5 Let z(a) = 7*a**3 - a**2 + 6*a + 7. Determine z(-1). -7 Let m(h) = h**3 - 2*h**2 + h + 4. What is m(2)? 6 Let g(h) = -h. Calculate g(7). -7 Let t(w) = w**3 - w**2 - w + 70. What is t(0)? 70 Let o(x) = -x**2 + 38*x + 74. Give o(40). -6 Let v(r) = r - 32. Calculate v(-17). -49 Let j(r) = -r - 1. What is j(14)? -15 Let y(b) = -4*b - 116. Give y(-30). 4 Let w(r) = -r - 6. What is w(2)? -8 Let u(m) = -m**2 + 18*m - 12. Determine u(16). 20 Let t(a) = -16*a**2 + 7*a - 2. Calculate t(1). -11 Let o(v) = v**3 + 13*v**2 + v - 11. Calculate o(-13). -24 Let c(v) = -v**2 - 7*v + 12. Determine c(-8). 4 Let s(r) = -r - 18. Give s(6). -24 Let w(o) = o**3 - 4*o**2 - 6*o + 7. Give w(5). 2 Let r(u) = -6*u - 44. Calculate r(5). -74 Let m(q) = -4*q + 84. What is m(-6)? 108 Let q(f) = -f - 1. Give q(7). -8 Let h(d) = 3*d + 4. What is h(5)? 19 Let s(u) = 82*u**2 + 2*u + 2. Determine s(-1). 82 Let i(h) = -2*h**3 + 13*h**2 + 6*h + 6. Give i(7). -1 Let z(o) = -2*o + 25. Determine z(7). 11 Let i(m) = -2*m + 6. What is i(6)? -6 Let q(a) = 6*a - 22. What is q(4)? 2 Let q(w) = -2*w**2 + 12*w - 21. Calculate q(6). -21 Let l(v) = -9*v + 14. Give l(2). -4 Let v(q) = q**2 - 20*q - 88. Determine v(24). 8 Let q(b) = b**3 - 12*b**2 + 9*b + 30. Calculate q(11). 8 Let w(r) = -r**3 - 7*r**2 + 7*r - 1. Give w(-7). -50 Let t(m) = m**2 - 11*m - 5. Give t(10). -15 Let q(v) = -v**3 + 19*v**2 - 21*v + 25. Calculate q(18). -29 Let d(h) = 6*h - 18. Determine d(-3). -36 Let z(y) = 2*y**2 + 14*y + 4. Calculate z(-8). 20 Let r(v) = -30*v - 55. Give r(-2). 5 Let p(n) = -85*n + 594. Give p(7). -1 Let x(j) = -j**3 + 7*j**2 - 4*j - 14. Give x(6). -2 Let r(l) = -l**3 + 5*l**2 + l - 6. Give r(5). -1 Let o(t) = -2*t - 2. Calculate o(2). -6 Let i(r) = -8*r + 33. Calculate i(3). 9 Let w(j) = 2*j**2 - 49*j + 3. What is w(0)? 3 Let x(t) = -t**2 - 11*t + 7. Determine x(-9). 25 Let x(q) = -q**3 + q**2 - q - 6. Calculate x(0). -6 Let g(v) = 6*v - 52. Determine g(10). 8 Let l(r) = 24*r**2 - 2*r + 1. Calculate l(1). 23 Let h(g) = -26*g - 156. Calculate h(-6). 0 Let r(b) = b**3 + 8*b**2 + 3*b - 29. What is r(-7)? -1 Let f(j) = 5*j**2 + 27*j - 8. What is f(-6)? 10 Let u(q) = -q**3 - 11*q**2 - 26*q - 1. What is u(-6)? -25 Let v(j) = -2*j**3 - 17*j**2 + 3*j - 52. What is v(-9)? 2 Let s(k) = -k**3 - 11*k**2 - k + 2. Calculate s(-11). 13 Let u(i) = 2*i + 23. Calculate u(11). 45 Let m(g) = 5*g + 100. Give m(-19). 5 Let n(y) = -3*y**2 - 20*y + 3. What is n(-6)? 15 Let k(z) = 2*z**2 - 28*z - 20. Determine k(14). -20 Let t(m) = -m**3 - 40*m**2 - 40*m + 54. What is t(-39)? 93 Let v(m) = 24*m + 524. Give v(-22). -4 Let s(z) = z**3 + 3*z**2 - 42*z - 122. What is s(-3)? 4 Let p(h) = h**3 + h**2 - 2*h + 6. Calculate p(0). 6 Let r(z) = -3*z**2 + 16. What is r(-5)? -59 Let z(t) = 23*t**3 - t**2 + 2*t - 1. What is z(1)? 23 Let f(j) = j**2 - 19*j + 99. Calculate f(5). 29 Let j(u) = -u**3 - 6*u**2 - 2*u + 2. Give j(-4). -22 Let n(a) = a**2 + 3*a + 1. Calculate n(-3). 1 Let m(k) = 2*k - 11. Determine m(15). 19 Let u(m) = m**3 - 9*m**2 + 8*m + 7. Determine u(8). 7 Let z(b) = b**3 + 24*b**2 + 23*b - 25. Give z(-23). -25 Let q(j) = 29*j**3 - j. Determine q(-1). -28 Let c(n) = -n**3 + 7*n**2 - 6*n + 19. What is c(5)? 39 Let g(n) = -2*n**2 - 28*n + 36. What is g(-14)? 36 Let d(s) = s**2 + 17*s + 36. Give d(-15). 6 Let b(t) = -4*t - 14. Give b(8). -46 Let u(l) = -10*l - 51. What is u(-6)? 9 Let l(y) = -y**3 + 15*y**2 - 12*y + 9. Give l(14). 37 Let d(q) = -q**3 - 9*q**2 + q + 12. Calculate d(-9). 3 Let t(f) = 5*f - 10. Give t(3). 5 Let q(x) = -x**2 + 7*x + 8. What is q(9)? -10 Let m(y) = -y - 8. Calculate m(-14). 6 Let c(f) = -f**2 + 21*f + 16. Determine c(11). 126 Let y(c) = c**2 - 21*c - 76. Determine y(24). -4 Let k(r) = r**3 - 20*r**2 + 16*r + 66. Determine k(19). 9 Let k(x) = -x**3 + 5*x**2 + 11*x - 4. Determine k(7). -25 Let z(w) = w**2 - 11*w - 108. Calculate z(17). -6 Let t(g) = -g + 10. Give t(4). 6 Let q(j) = j**2 + 3. Give q(9). 84 Let w(x) = x**3 + 6*x**2 + 7*x + 3. Calculate w(-6). -39 Let i(k) = -2*k**2 + 33*k + 53. Give i(17). 36 Let p(h) = -28*h. Calculate p(-2). 56 Let d(g) = g**3 + 5*g**2 - 4*g + 4. What is d(-6)? -8 Let k(h) = -h**3 - 12*h**2 + 13*h + 1. Determine k(-13). 1 Let w(z) = 5*z**2 + 121*z + 32. What is w(-24)? 8 Let k(b) = b**3 + 4*b**2 - 2*b - 2. Give k(-4). 6 Let c(t) = -t**3 - 2. What is c(-2)? 6 Let n(c) = -5*c - 18. Determine n(-6). 12 Let s(i) = -i**3 - i**2 + i + 95. What is s(0)? 95 Let l(a) = a**3 - 3*a**2 - 4. Give l(2). -8 Let j(l) = -l**3 + 8*l**2 - 5*l - 5. What is j(4)? 39 Let y(n) = -n**2 - 8*n + 3. Determine y(-8). 3 Let f(u) = 4*u - 2. Give f(-3). -14 Let j(r) = -11*r + 20. What is j(4)? -24 Let j(z) = -9*z. Give j(-3). 27 Let b(w) = -w**3 - 7*w**2 - 11*w + 8. Determine b(-4). 4 Let d(g) = 15*g**2 - 2*g + 2. Calculate d(2). 58 Let b(y) = 20*y + 111. What is b(-5)? 11 Let z(t) = t**2 + 19*t - 55. Calculate z(-21). -13 Let f(i) = i**3 - 11*i**2 + 30*i - 189. What is f(10)? 11 Let k(w) = w**2 + 4*w - 10. Calculate k(-8). 22 Let c(b) = b**3 - 5*b**2 + 10. Determine c(5). 10 Let t(w) = -109*w + 6. Determine t(0). 6 Let k(z) = 4*z**2 - 15*z - 5. Give k(4). -1 Let m(x) = -x**3 - 4*x**2 - 4*x - 17. Give m(-5). 28 Let x(h) = h**3 + 9*h**2 - 10*h + 4. Give x(-10). 4 Let m(q) = -10*q + 120. Calculate m(12). 0 Let w(h) = -h - 10. What is w(-10)? 0 Let g(i) = -2*i + 3. Give g(4). -5 Let x(z) = z + 1. Calculate x(-14). -13 Let r(c) = -2*c + 15. Calculate r(-5). 25 Let f(j) = -j**2 + 16*j + 4. What is f(14)? 32 Let h(t) = -23*t + 72. Determine h(3). 3 Let o(a) = -a**3 - 4*a**2 - 4*a - 5. What is o(-5)? 40 Let y(h) = -h**2 + 3*h + 3. Calculate y(6). -15 Let o(v) = -v**2 - 4*v + 1. Determine o(-5). -4 Let b(v) = -4*v**2 + 5*v + 6. What is b(-2)? -20 Let w(x) = 2*x**2 - 5*x - 8. Determine w(5). 17 Let z(u) = u**2 + 9*u - 8. Calculate z(-10). 2 Let p(v) = 55*v + 22. Give p(-1). -33 Let o(a) = a**3 - 17*a**2 - 5. Calculate o(17). -5 Let v(a) = -a**3 - 14*a**2 - 15*a - 32. What is v(-13)? -6 Let y(a) = a**3 + 59*a**2 + 169*a + 51. Calculate y(-56). -5 Let q(j) = j**3 + 4*j**2 + j + 3. Give q(-3). 9 Let n(p) = -p**2 + 7*p - 1. What is n(6)? 5 Let g(s) = -7*s**3 - 3*s**2 + 12*s - 10. Calculate g(1). -8 Let a(y) = 3*y**2 - y. Calculate a(4). 44 Let b(f) = 6*f**3 - 2*f**2 + f + 1. Determine b(-2). -57 Let s(f) = f**3 + 5*f**2 + 3*f + 2. Calculate s(-2). 8 Let k(a) = -6*a + 256. Determine k(43). -2 Let r(t) = t**2 + 3*t + 7. Give r(-6). 25 Let s(t) = t**3 + 8*t**2 - 10*t + 8. Determine s(-9). 17 Let r(i) = 2*i**3 + 5*i**2 + 4*i + 3. What is r(-3)? -18 Let z(x) = -x - 1. Calculate z(-7). 6 Let r(d) = 27*d + 46. Give r(-2). -8 Let x(c) = 6*c**2 - 3*c - 2. Determine x(-4). 106 Let v(b) = -b**2 - 3*b + 6. Calculate v(-6). -12 Let h(v) = v**2 - 14*v - 12. Determine h(14). -12 Let k(n) = n**3 - 12*n**2 + n - 12. Give k(12). 0 Let i(z) = 30*z + 167. Calculate i(-6). -13 Let d(f) = 5*f + 213. Calculate d(-42). 3 Let q(b) = -25*b - 117. What is q(-4)? -17 Let y(i) = -i**2 + 5*i - 14. Give y(4). -10 Let d(f) = -79*f + 306. What is d(4)? -10 Let m(d) = d**2 - 11*d + 2. Determine m(10). -8 Let d(k) = -k**3 - 8*k**2 + 52*k + 40. Give d(-12). -8 Let t(l) = -17*l - 21. What is t(-1)? -4 Let f(q) = q**3 - 6*q**2 + 6*q + 2. Calculate f(5). 7 Let u(l) = l**2 - 38*l + 12. Determine u(38). 12 Let m(q) = -7*q + 5. Give m(-5). 40 Let a(m) = m**3 - 15*m**2 + 2*m + 11. What is a(15)? 41 Let t(u) = -8*u**2 + 367*u + 56. Determine t(46). 10 Let w(j) = 37*j**2 + j + 1. Give w(-1). 37 Let v(u) = -u**3 + 14*u**2 - 14*u + 1. Calculate v(13). -12 Let o(p) = 3*p**2 + 3*p - 1. Calculate o(-3). 17 Let c(p) = -2*p**3 + 6*p**2 - 1. Calculate c(-1). 7 Let c(y) = 2*y - 29. Calculate c(9). -11 Let r(m) = 12*m**2 - 85*m - 4. What is r(7)? -11 Let u(l) = 4*l**3 - 2*l**2 - l - 1. Determine u(2). 21
Let q(u) = 5*u**2 + 7*u + 5. Let n be q(-2). Suppose -n*o = -0*o - 33. Solve 0 = -p - 5*s - 18, 0 = p + 2*p + o*s + 6 for p. 2 Let m = -24 + 27. Suppose 0 = -2*h + 2*v + m*v, 3*v = -h + 11. Solve -4*z + h*c = -0*z - 27, -3*c = -z + 12 for z. 3 Suppose -c - x = -12, c + c - 2*x - 40 = 0. Suppose 8*s - c = 8. Suppose 0 = -3*t - s*t. Solve 4*v - 8 = t, -7 = -2*w + v - 3 for w. 3 Suppose 9*k = 3*k - 36. Suppose 3*a - 3*o + 1 = -8, -3*o = -3. Let p = a - k. Solve 2*y = -2*y + 4*f - 16, -24 = p*y + 4*f for y. -5 Let j = 21 + -13. Suppose 4*d - 4 = j. Let a = -8 - -11. Solve -d*s - 4*w = -1, a*w + w + 14 = 2*s for s. 3 Let s(i) = i + 19. Let b be s(-15). Let u = b - -2. Suppose u = q - 0. Solve 2*j - 6*o + 5*o = q, -o = 4*j for j. 1 Let p be (-35)/(-10)*4/7. Suppose c - 4*x = 2*c - 15, -p*c + x = -3. Solve -4*f + 1 = -3*w, -10 = c*w + 2*f + 3 for w. -3 Let b(f) = 2*f**2 + 7*f + 2. Let w be b(-5). Let u = -13 + w. Solve u*q - 9 = -2*x + 1, -5 = -4*q + 3*x for q. 2 Suppose -639*p + 628*p + 55 = 0. Solve -4*b - p*t - 8 = -t, -5*b = -5*t for b. -1 Let k be (6 - 2) + 54/27. Solve 3*c - 2*l + 13 = 0, 5 = c + l + k for c. -3 Let j be (7 + 102/(-18))/(8/18). Solve 5*r + m - 27 = 0, -j*r + 3*m = m - 11 for r. 5 Suppose 30 = -187*m + 185*m. Suppose -19 = -k + 16. Let r = k + m. Solve -s = -2*s, s + r = -5*d for d. -4 Let u be (-8684)/(-1169) - (-3)/14*-2. Solve -5*c + 5*t = 0, 3*c + u*t = 2*t for c. 0 Suppose -j - 115 = -6*j + g, -4*j - 3*g + 111 = 0. Solve -3*a + 3*v = j, 4 = a - 5*a - 3*v for a. -4 Let o(f) = -6*f + 15. Let n be o(2). Solve 4*a - 31 = -n*r, 5*a = -5*r + 21 + 24 for a. 4 Let t be -31 - (4 - (4 + 0)). Let k = t - -27. Let i = k - -4. Solve -12 = -3*p - 2*y - 2*y, i = 3*y - 9 for p. 0 Let s(u) = u + 2. Let y be s(3). Let m(a) = 17 - 5 - 7*a + 5*a. Let n be m(y). Solve x - n = 0, 17 = 4*v - v + x for v. 5 Let t = -13 - -24. Suppose t = b + 2. Suppose i - b + 6 = 0. Solve y = -l - 10, y - i*y + 2*l = 0 for y. -5 Let h = -87 - -131. Suppose 41 = -u + h. Let s be 1*(2*2 + 0). Solve s*k + u*j = 8, -3*k + 8 = k + 5*j for k. 2 Suppose j - 3*u + 17 = 0, 4*j - 2*u + u + 35 = 0. Let q = j + 13. Solve -2*k - q*y = -4*y + 8, 2*k = 2*y - 2 for k. -3 Let c = -23 - -28. Let s = 7 + -3. Let g be -2 + s - (-14 + -2). Solve -c*n - v = -4*v - g, 3*n - 2*v = 11 for n. 3 Suppose 2*m + 2*y - 86 = -0*y, m + 2*y - 48 = 0. Let k = 40 - m. Solve -5*p - 20 = -3*q + k*q, 3*q + 3*p + 12 = 0 for q. 0 Let r = -566 + 568. Solve 8*j - 29 = 5*b + 11*j, 0 = r*b - j + 5 for b. -4 Suppose 0 = -2*c + 132 + 24. Let n = -73 + c. Solve -2*x - 6 = y - x, 5*x = n*y for y. -3 Let r(n) = -n**3 + n**2 + 15*n + 28. Let w be r(5). Solve -f = -2*y - 5, -5*y = 4*f + w + 16 for f. -1 Let y be 5/2 + (-17)/(-204)*-6. Solve -3*k + y*a - 9 + 1 = 0, 2*a - 8 = -5*k for k. 0 Suppose 0 = -5*q + 94 - 94. Solve 2*d - d - 1 = 0, q = -3*p - 3*d + 12 for p. 3 Suppose -5*g - 4*o + 36 = -29, 3*g + 3*o = 42. Let x(k) = -17 + g + 4 - 2*k. Let v be x(-5). Solve -z - 11 = v*s - s, -5*s = 15 for z. 4 Suppose -2*h - 559 = -569. Solve -2*b + w = -4*b - 2, -5 = 5*b - h*w for b. -1 Suppose -3*t - 28 = 38. Let w = 25 + t. Solve d + a + 5 = 0, -w*d - 15 = -0*d - 5*a for d. -5 Let i be (800/(-600))/((-5)/3 - -1). Solve 8*t - 3*a = 3*t - 13, -5*a = i*t + 30 for t. -5 Let x = 18 + -7. Suppose 4*n + 3 - x = 0. Solve c + 6 = -c + n*i, -13 = 3*c - i for c. -5 Let d(a) = -16*a**2 - 3*a + 2*a - a**3 - 7 - 3*a**2 + 9*a**2. Let t be d(-10). Solve -h - 11 = -4*n, -t*n + 12 = -0 for h. 5 Suppose -2*i = -k - 5*i + 3, k - 3 = i. Solve 0 = -l + 2*u - k, -2*l - 3*u = 4 + 9 for l. -5 Let f be (4/6)/(6/81). Suppose f = 4*x - 7. Solve -i + x = -3*j, -j - 3*j + 1 = 5*i for i. 1 Let k be (248/868)/((-2)/(-28)). Solve 3*m = 6*m - 2*u + 2, -3*m + 5*u = -k for m. -2 Let m(z) = -z + 8. Let r be m(6). Suppose 2*q - 81*y - 19 = -78*y, -11 = 2*q + 3*y. Solve 5 = v - b + 2, 2*b - q = -r*v for v. 2 Suppose 0 = 3*q + i - 15, -4*q + 20 = -2*i - 2*i. Solve q*h + 2*z - 15 = 7*z, -7 = -5*h + 3*z for h. -1 Let n(y) = -2*y**2 + 15*y + 16. Let h be n(8). Suppose -h*l + 5*l = -9. Solve 4*a - 12 = 0, l*s + 5*a - 33 + 3 = 0 for s. 5 Suppose -1 = 2*m - 7. Suppose -m*n = -3 - 0. Let y be (-1 + n)/(2 + -4). Solve -3*j - 7 = -4, y = p - 3*j - 8 for p. 5 Let n(z) = 16*z - 7. Let i be n(3). Suppose 4*q + 3*h - i = 0, -5*q = h + 4*h - 45. Solve q = 5*s + l, -l - 1 = -s + 3 for s. 3 Suppose -4*l + 0*l = -48. Let m be (-48)/l - (-5 - -1). Solve 3*g + 13 = b, m = b + 2*b + 5*g + 3 for b. 4 Suppose -6*a + 21*a - 30 = 0. Let s be (1*a)/((-14)/(-28)). Solve -8 = s*m + 3*c, -3*m + m = -3*c + 4 for m. -2 Suppose a = 11 - 8. Suppose 2 = -w + f + a, -3*f = -9. Solve 2*n - t = -3, -w*t = -n + 4*n + 10 for n. -2 Suppose 6*s - 3*s = -l + 25, -2*s + 5*l = 6. Solve 3*c + y - s = 0, -5*c - 1 + 2 = -y for c. 1 Let d(q) = 2*q + 29. Suppose 29 = -3*u - 7. Let x be d(u). Suppose 0 = m - 5 - 0. Solve 5*g = 4*i + i + x, -m*g + 21 = -i for i. 4 Let v = -24 + 31. Let f(c) = c**3 - 8*c**2 + 7*c + 5. Let s be f(v). Let z be 14/4*10/s. Solve -z = -2*h - 3*i, 2 = -5*h + 3*i - 12 for h. -1 Suppose -2*r = 7*r. Solve 0 = 4*a - 2*h - 20, 3*a + h + 2*h - 15 = r for a. 5 Let d = -2 + 3. Let q = 3 + d. Solve 0*j + 5*v - 30 = j, -j = q*v - 15 for j. -5 Let y be ((-3 - 7) + 11)/((-3)/(-15)). Solve q = 2*n + n - 5, y*n - 19 = -q for q. 4 Let k be (-1)/22*-4 + (-2679)/33. Let v = -79 - k. Solve 0 = -v*b + m + 10, 2*b - 4*b + 10 = 4*m for b. 5 Let j be 44/10 + (-4)/10. Let f(x) = 0*x**2 - 7*x - 4 + 6*x**2 + 0*x**2 + 11*x**3 - 12*x**3. Let n be f(4). Solve d = o + 9, -j*d + o + n + 21 = 0 for d. 4 Suppose 0 = 63*s - 68*s + 15. Solve -12 = -s*u + 3*b, 0 = -4*u + 5*b - 8*b + 16 for u. 4 Let m be 40/6 - 3/(-9). Let f be (-18 - (-2 - 1))/(-1). Let n = f + -11. Solve -r = 5*g + m + 23, n*r - g = -15 for r. -5 Suppose -4*i = 5*k - 5 + 8, 0 = 4*i + 4*k. Solve -i*w = -3*o, 3*o = 2*w - 7*w + 8 for w. 1 Suppose -12*g + 15*g + 6 = 3*l, 0 = -5*l + g + 10. Solve -r + 5*c - 2 + 19 = 0, -l*c - 5 = -r for r. -3 Suppose -15*z + 5*z = -40. Solve 2*d = 4*m, 6*m - 2*m + 12 = -z*d for m. -1 Suppose 4*o + 70 = 5*c + 445, 300 = -4*c - 2*o. Let n = -71 - c. Solve 2*d = -n, -b + 5 + 0 = -4*d for b. -3 Suppose 50*l = 56*l - 30. Solve 0 = -l*p + 2*k + 10, -2*p + 4*k = -5*p + 32 for p. 4 Let k be 2/3 + (-10)/(-3). Suppose i - 2 = -2*n + 2, 3*i = -2*n + k. Let x = 25 + -25. Solve i = -5*s + 2*z + 11, x = -s - 2*z - z + 9 for s. 3 Suppose 2*r - 2 = 8. Let f be -1*1*r/(-1). Let y = -43 + 47. Solve v - 4 = y*u, f*v = -4*u - 29 + 1 for v. -4 Suppose -2*u = 2*l - 70, -u + 28 - 153 = -4*l. Let b = l + -27. Solve b*f - 4*k = -7*k + 17, -5*k - 25 = -5*f for f. 4 Let t(m) = m**2 + 36*m + 43. Let y be t(-35). Let a(p) = p + 3*p**2 - 6 - 2*p**2 - 8*p. Let v be a(y). Solve 0 = v*l + o - 5, 0 = -l + 5*o - 0 + 8 for l. 3 Let h(o) = -8*o**2. Let d be h(-1). Let q be 78/21 - d/28. Solve 4*t = -5*v - 22, q*t = 2*t + v - 4 for t. -3 Let y(c) = -c**3 + 19*c**2 + c - 11. Let j be y(19). Suppose 0 = j*b - 9 - 87. Suppose -6*n + 0*n + 18 = 0. Solve n*k = 5*p + 12, -2*k - 2*p = b - 4 for k. -1 Suppose 5*n - 30 = -5*x, -4*n + 15 = 2*x - 1. Solve -3*m = x*r - 2*r - 21, r - 18 = -3*m for r. 3 Let w = 35 + -31. Suppose q + 68 = w*g, 0 = g + 2*q - 19 + 2. Let n be (1/(-1))/(1/(-2)). Solve -n*x - 3*d = 3*x + 23, -g = 3*x + 5*d for x. -4 Let j(a) = -a**2 - 10*a - 6. Let g be j(-9). Suppose 4*t = g*r - 49 - 1, 0 = -3*t - 6. Solve -5*v = -4*l + 1, -2*l = 4*v - 6 - r for l. 4 Suppose -3*v - 12 = 0, u - 5*u + 72 = -2*v. Solve -4*x - 13 = -d, -2*d + 5*x = -d - u for d. 1 Let g(q) = q**2 - 9*q + 15. Let z be g(7). Let d be (0 - -10)/(2*z). Solve -4*k = -4*y - 20, -3*k + d = -y + 3*y for k. 3 Suppose -s = -5*a + 23, -9*a + 3*s + 19 = -4*a. Solve 2*q = 2*f + 6 - 10, 5*f = -a*q + 10 for q. 0 Let l = 5 - 19. Let y = 12 + l. Let t be (-6 + -2)*1/y. Solve 0 = 3*q - 2*h + 16 - 5, -t*q - 5*h - 7 = 0 for q. -3 Suppose 4*y + 0*y = -16, -5*y = -5*h + 30. Let o(g) = 8 + 2*g**h - 4 + 3 - 3 - 5*g. Let r be o(3). Solve 0 = 5*x + s + r + 5, 0 = -2*x - 5*s - 14 for x. -2 Let v(m) = -m**2 - 3*m + 2. Let k be v(-4). Let y be 2 + -4 + 6 + k. Solve 5*l + 30 = -5*g, 3*g + y*g + 18 = -l for g. -3 Let v(y) = -5*y - 22. Let l be v(-5). Let w(n) = -n**3 + 5*n**2 + 6*n + 2. Let u be w(6). Solve 0 = u*r + 3*q + 18, 0 = -4*r + l*q + q + 4 for r. -3 Suppose 51*o = 59*o - 16. Solve -b = 3*b + 8, -b - o = -5*h for h. 0 Suppose -6*m + 33*m = 1485. Solve 0 = 3*w + 4*y - 23 + m, -2*w - 3 = -y for w. -4
Suppose -5*p + 37 = 4*a, 6*p - 3*p = -4*a + 27. Suppose p*r = -4*m + 20, 2*r - 8 = -4*m + 2*m. Solve -4*h - 3*s = h + 15, -3*s = m for h. -3 Let u = 3078 - 3074. Solve 0 = 4*w + u*x - 8, -5 = 5*w - 4*x + 6*x for w. -3 Let i = -1206 - -1206. Solve -7*k + 3*k + h = 14, i = 2*k - 2*h + 10 for k. -3 Suppose -2*t - 4*r = 466, t - 5*r + 19 + 186 = 0. Let o = t - -230. Solve 3 = -x + 4*x, -o*x + 9 = -u for u. -4 Let n(j) = -2*j**2 + 175*j - 245. Let f be n(86). Solve 4*d - 6*d - 11 = 3*k, k + f = 4*d for d. 2 Let d(p) = p**2 - 2*p. Let a be d(3). Let s be 12 - 13 - -2*4. Let z(v) = 38*v - 720. Let g be z(19). Solve k + 4*y + g = 0, s - a = 3*k + 2*y for k. 2 Let r be (2 - 1)*(3 - -2). Let y = 27844 + -27844. Solve 0 = r*v + 20, -4 = m - y*v + 2*v for m. 4 Suppose 54*o = 1463 - 5675. Let z be (-2)/7 + (-2008)/28. Let a = z - o. Solve 3*h - 3*s = 24, 2*h + a*s - 5*s = 4 for h. 4 Suppose 2*q = 5*a + 20, -4*q - 2*a = -2*q - 6. Let v(k) = 5*k - 9*k + 22 - k**2 + 3*k - 8*k. Let t be v(-11). Solve 0 = q*i, t = n + 2*n - 3*i + 12 for n. -4 Let s(z) = 2*z**2 + 12*z - 1. Let x be s(-6). Let r be 15/25*1/(x/(-5)). Let t = -6 + 11. Solve 3*i - 5 = -t*h + h, 0 = r*h + 4*i + 5 for h. 5 Suppose 0 = -100*k + 98*k + 22. Solve k*x - 15*x + 8 = 4*r, -12 = 4*r for x. 5 Let f = -341 - -344. Let n be (6/(-10))/f + 735/175. Solve 2*l - 3 = q - 3*l, 0 = n*q - 4*l + 12 for q. -3 Let m = 136 - 132. Suppose 2*l = 43 + 123. Suppose -4*k + l = -5. Solve 5*i + 25 = 0, -4*f + 6*f - m*i - k = 0 for f. 1 Let h = -85 + 42. Let o = h + 47. Suppose -o*t + 4*l = 4, 3*t - 19 = -2*t - 3*l. Solve -g - 4 = a + t, -4*g = 12 for a. -3 Suppose -10*s = -2*s + 72. Let g = s + 13. Suppose g = 3*b - 47. Solve b = p + 4*v, -v = -5*p + 4*v - 40 for p. -3 Let r = -1769 - -1777. Solve 3*a = j + r, 4*a = 4*j - 0*a + 24 for j. -5 Suppose -4*g + 150105 - 150005 = 0. Solve -3*o - 22 = -g, -3*o = -2*j + 5 for j. 4 Let k = 42924 - 42919. Solve 5*d - 5 + 15 = k*o, 2 = -o for d. -4 Let k = -7 - -11. Let g = 1100 + -1098. Let j be 0*g/16 - -2. Solve 5 = k*p + 5*q, -p + j*q = -0*p + 2 for p. 0 Let m(c) = 9*c**2 - 52*c + 331. Let y(u) = 4*u**2 + u. Let d(w) = m(w) - 2*y(w). Let n be d(7). Solve 2*l - 3*g = -g - 4, n*l - 3*g = -4 for l. -2 Suppose n - 2*n - 17 = 5*r, 9 = -n - 3*r. Let v(z) = -2*z**2 + 4*z + 10. Let y be v(n). Solve y*t - 2*c = -16, c - 5 = 3*t + 6 for t. -3 Let g = -4448 + 4453. Solve 2*z - z + g*w = 7, -w - 13 = 5*z for z. -3 Let b = 18 - 25. Let l = b + 10. Suppose -2*h + 3*z = 6*z + l, -z = 3. Solve -3*i - 5*f + 4*f - 5 = 0, -15 = h*f for i. 0 Suppose 5*h = 2*x + 72 - 83, -4*h = 2*x - 56. Solve 3*a + 40 = -2*k + x, 5*k = 5*a + 20 for a. -6 Suppose -4*b - 2 = -2*i, 2*i - 7*b = -4*b + 4. Solve i*m - 12 = -2*z, -29*m + z = -30*m for m. 4 Let r(w) = -4*w + 127. Let y be r(31). Let u be (-9)/(-27)*(2 + 0)*y. Solve 3*f - 3*j - 6 = 6, -3*f + u*j = -13 for f. 5 Let w(l) = -23*l - 110. Let p be w(-9). Suppose r - 3*t = 100, -24 = r - t - 120. Let x = p - r. Solve -5*i + 9 = x*o, -i - 2*o + 2 = 3 for i. 3 Let d be (((-510)/12)/17)/(-4 - 546/(-144)). Solve -5*x = -11*u + d*u + 1, 3*u = -2*x + 10 for u. 4 Let f be ((-119)/85)/((-5)/25). Solve 2*t - 6 = 0, m = 410*t - 412*t + f for m. 1 Let j be (658/376)/((-2)/(-8)). Solve -j = 4*x - k, -5*k + 58 - 61 = -x for x. -2 Let c = -533 - -545. Solve v - 8 = 2*q, -3*q - q = -4*v + c for v. -2 Suppose -8*d = -12*d. Let r be (2 - d)*4/(-8)*-4. Suppose -3*u = 2*o - 1, 4*o + 5 + r = 5*u. Solve -u + 5 = 2*l - 4*x, 0 = -5*l - 3*x - 16 for l. -2 Let n(b) = 30*b - 394. Let r be n(26). Let l = -383 + r. Solve -h - 4 = -l*m - 3, -4*m = -4*h + 4 for m. 1 Suppose 231 = -13*n + 10*n. Let z = 73 + n. Let x(k) = k**3 + 4*k**2 - 3*k - 1. Let q be x(z). Solve -v - 4 = t, -4*t - 2*v - q = -3*v for t. -3 Let l = 1782 - 1779. Let w(u) = u**3 - 11*u**2 + 17*u + 13. Let g be w(9). Solve m - 4 = g*t - l*m, -5*m = 10 for t. -3 Suppose 3*m = -4*v + 342 - 327, -2*v + 4*m = -2. Solve -3*i = -g - 5, -g - 3*i + v = 2 for g. -2 Let i = 129 - 172. Let x = i + 45. Let f(y) = -y**2 - 9*y - 4. Let h be f(-5). Solve 3*k - 5*a + 5 = 0, -4*k + 3*a + h = x*a for k. 5 Let a be 3*(-2)/(-3)*(-3)/(-2). Suppose 0 = -3*x - 5*b + a, -3*x + b + 27 = -2*b. Solve -x*q = -q - 5*w - 10, -2*w = -5*q + 19 for q. 5 Suppose -3*r - l = -6*r - 23, 0 = 2*r + l + 12. Let u be 2 - (-3 - r - 4). Let c be u/9 + (-64)/(-36). Solve 0 = -4*b - c*x + 16, -3*b = -4*b + x + 1 for b. 3 Let y(a) = a**2 + a + 1. Let o be y(-2). Let q = 53 + -47. Suppose x + 2*f = q*x, 4*f = 2*x. Solve -o*m - s - 3 - 3 = x, 0 = m - s + 6 for m. -3 Let h(d) = d**2 - 18*d + 49. Let l be h(3). Let j be (-15)/(-2)*(-3)/(-18)*l. Solve 3*t + 15 = -0*t, 5*t = j*g - 50 for g. 5 Suppose -40 = 8*c, -6*f + 4*f + 29 = -5*c. Solve 0*p + 4*p - 4*s = -8, -5*s = f*p + 25 for p. -5 Suppose -4*h + 21 = 1. Let n(f) be the first derivative of -f**3/3 + 9*f**2/2 + 14*f - 29. Let u be n(10). Solve h*q + 5 = 2*a, q + 0*q - a + u = 0 for q. 1 Let r be 6*-3 - (9 + -9 - 3). Let x(c) be the third derivative of -c**4/24 - 5*c**3/3 + c**2. Let l be x(r). Solve 0 = 3*a + 1 + 5, l = -j - 3*a for j. 1 Suppose 0*q = -2*b + 2*b + 5*q, 0 = 4*b - 5*q. Solve b = -6*w + 11*w - 5*x + 30, 4*w - 3*x = -22 for w. -4 Let t(j) = 246*j - 1217. Let r be t(5). Solve -2*h + 1 = -c - 6*h, r = 5*c + 2*h for c. 3 Let z = 6945 + -6931. Solve 4*r - 6 = -2*d, -13*r + 5*d = -z*r + 6 for r. 1 Let d(k) = -k**2 + 3*k + 132. Let u be d(-10). Solve 0 = -u*o + 10, -11*s + 4*o = -9*s + 30 for s. -5 Suppose -144 = -71*i + 130 + 10. Solve m - 18 = 6*j - 2*j, -i*m - j - 13 = 0 for m. -2 Suppose u = -2*t + 38, 0 = 16*u - 14*u - 2*t - 40. Let g = 8 + -6. Let c be 12*((-5)/3 + g). Solve -9 = -c*l - 5*x, -6*l = -2*l - 2*x + u for l. -4 Let j(f) = 13*f**2 - 48*f + 47. Let b be j(1). Solve 3*k = -5*l - 15, 26*l - 22*l + 2*k + b = 0 for l. -3 Let k(l) = 76*l + 846. Let s be k(-11). Solve g = -x - 3*g + 2, -3*x + 4*g - s = 0 for x. -2 Suppose -3*z - 1 = 20. Let g(u) = -u**3 + 4 + 13*u - 5*u**2 - 6 - 3 + 1. Let v be g(z). Solve -v*q + 4 = 3*f - 2, -4*f - 17 = -q for f. -3 Suppose 50 = -14*z + 8. Let f(y) = 2*y**3 + 7*y**2 - y - 7. Let d be f(z). Solve 0 = d*k - 2*i + 14, 2*k - 5 = -5*i + 1 for k. -2 Suppose 3 = q, 0 = 8*v + 11*q - 7*q - 36. Solve 4*o = 4*d - 21 + 9, -5*d = v*o - 31 for d. 5 Let m = -70 + 134. Suppose -3 = -j - 2, 4*j - m = -5*g. Solve 2*k = 2*q - g, k + k = q - 7 for k. -1 Suppose -2*m + 0 - 10 = 0. Let j(v) = 2*v**3 + 0 - 5 - 6*v**2 - 3*v**3 - 2 - 8*v. Let x be j(m). Solve 0 = 4*s - 3*t - 14, x = 4*t - 0*t for s. 5 Suppose -3*v + 10 = 2*t, -5*t + 6*v - 3*v + 25 = 0. Let z be (42/(-24))/(2/8). Let g = z - -10. Solve -m = -4*k - 5, t*m - g*m - 10 = 4*k for m. 5 Suppose -6*s - 24 = -84. Suppose -s + 6 = 4*k. Let a(r) = -4*r**3 - 2*r**2 - 4*r - 3. Let y be a(k). Solve t - 1 = 2*q, 3*q + y = 3*t - 3 for t. 3 Let c(u) = -2853*u + 2853. Let m be c(1). Solve n = -2*f - 8, 2*f - 2*n - 25 + 39 = m for f. -5 Suppose 5*t - 4*f = 15, -217*f + 3 = t - 220*f. Solve -t*j - 2*q + 17 = 0, -53 + 17 = -4*j + 4*q for j. 7 Let g = -804 + 815. Suppose 15*c - g*c - 12 = -5*x, -4*x - 6 = -2*c. Solve 0 = -3*p + u - 8, 4 = -4*p - x*u + 3*u for p. -4 Let w be (-2*1)/(44/198). Let b be 12/(-14)*28/18*w. Solve 4*g - b - 12 = 2*x, -3*x + 2*g - 16 = 0 for x. -2 Let l be (6/(-9) + (-5)/(-3))/1. Let k be 4/6*(7 - l - -15). Solve 20 = 4*a - 4*z, -4*a + 39 = -5*z + k for a. 0 Let k be (-7)/(-175)*-5 - -16*(-1)/(-5). Solve k*b - 6 = 4*t + 7, -4*b = -t - 13 for b. 3 Let p be 8/10 - (-6 + -16*6/(-20)). Solve -2*v = p*l + 14, 3*l + 22 = 3*v + 19 for l. -4 Let w(u) = -21*u - 107. Let r be w(-5). Let q be (-2646)/(-270) + r/(-10). Solve q = 4*c + 5*d, -d = -0*c + 5*c - 23 for c. 5 Suppose 6599 = 43*w - 1528. Let n be (-3 + w/45)/(6/10). Solve -s + 5*c = -24, 3*s + n*s + 5*c = 0 for s. 4 Suppose -10*q + 4*q - 3*q = 0. Solve q*z + 3*z + 12 = k, -5*k = -4*z - 27 for z. -3 Let c(b) = 8*b + 196. Let z be c(-24). Suppose -2*s + 4 = 2*p, 25 + 12 = 5*s - 4*p. Solve z*r + 0*r + 20 = -s*g, -5 = r + 2*g for r. -5 Let h(q) = q**2 - 25*q + 156. Let t be h(13). Suppose 8*j - 903 + 855 = t. Solve -10 = 4*s + 2*y, -3*s + j - 21 = 3*y for s. 0 Suppose 3*l = -4*q - 12, 2*q + 3*l = -14 + 2. Suppose -273 = 4387*g - 4400*g. Solve 3*f = -3*r, 2*r + g = 5*f - q for f. 3 Let n be (-281)/1686 - 13/(-6). Solve 0*h + n*h + z = -5, -h = -z + 10 for h. -5 Let s = -1071 + 1075. Suppose 0 = 7*f - 207 + 60. Solve -2*w = k - 8, 5*w + 5*k = f + s for w. 3
Suppose -2 = l + 2*a, 4*l - a - 2*a = 14. Solve l*t + 2 = -6 for t. -4 Let c = 14 + -6. Solve -t + c = t for t. 4 Suppose 2*x = q - 0*x - 22, 4*q - 61 = -x. Let v(c) = c**3 + 22*c**2 + 21*c + 3. Let d be v(-21). Let i = -2 + 2. Solve i = -h - d*h - q for h. -4 Suppose -2*w = w - 6. Let b be 1 + 2/(4/14). Suppose -b = -w*f - 0. Solve h - f + 3 = 0 for h. 1 Let j(u) = -2*u**2 - 9*u + 6. Let k be j(-5). Solve 3*i + 4 - k = 0 for i. -1 Let k(a) = -a**3 + 3*a - 3. Let j be 9*(-2)/(-3) - 2. Suppose -3*l + 3 = -4*i, -5*l + 0*i - 27 = j*i. Let o be k(l). Solve 2*b - o = 5*b for b. -5 Let u be (-1)/(2 + -3)*8. Let m(b) be the second derivative of b**3/6 - 3*b**2/2 - b. Let l be m(u). Solve 8 + 12 = -l*p for p. -4 Let g be 28/12 - (-2)/(-6). Let j(d) = 2 - 1 - 3*d + 1 + 5*d**g - d**3. Let p be j(4). Solve -5*u + 9 = -p for u. 3 Let b be 6*((-32)/(-6) + -2). Let z(t) = 2*t**3 - 3*t**2 + 5*t - 4. Let u be z(2). Suppose 0 = -u*v + 5*v + b. Solve -8*g + v*g - 20 = 0 for g. -5 Let r be 4/(-10) + (-20)/(-50). Solve r*c = 4*c - 12 for c. 3 Let m = 76 - 70. Solve -m*f = -2*f + 12 for f. -3 Suppose 11*m - 3*m - 16 = 0. Solve 6*d + 4 = m*d for d. -1 Let w be 128/(-20)*(-15)/6. Solve 5*g + w = g for g. -4 Suppose -12 = 3*z, -3*z + 66 + 6 = -3*q. Let t = q - -46. Suppose 4*f = -2*d + t, -4*f + 38 = d - 3*d. Solve 0 = -f*b + 2*b - 20 for b. -4 Suppose 0 = -5*a + 3 + 17. Solve 0 = 6*p - a*p for p. 0 Suppose -2*i + 4*n = 6, 3*i - 5 + 6 = 4*n. Solve -3 = -i*z + 2*z for z. 1 Suppose -2*a - d = d - 10, -a + 4*d = 20. Solve -4*k + 20 + 0 = a for k. 5 Let k(a) = -a**2 - a + 1. Let t(l) = -l**3 - l + 1. Let r be t(1). Let j be k(r). Solve 3 - j = y for y. 2 Let a be ((-20)/6)/((-14)/63). Solve -h - a = -4*h for h. 5 Let k = -1 + -17. Let t = -13 - k. Let g = 8 - t. Solve n - g*n = -6 for n. 3 Suppose 0 = -10*k + 5*k + 10. Solve -3 + k = s for s. -1 Suppose 24*l = 23*l + 16. Solve 5*f + l = -9 for f. -5 Let u be 3/5 + 6/15. Let c be (2/3)/(1/6). Let p = -105 + 110. Solve -c*x = u - p for x. 1 Let r(q) = q + 15. Let v be r(-9). Let g(w) = -w**2 + 6*w + 3. Let m be g(v). Suppose -m*s + 18 = -6. Solve 5*y = -3 + s for y. 1 Suppose 7 + 1 = 2*x. Suppose 5 = -2*p + 1. Let h be p/(2 + -4)*19. Solve -h = -3*m - x for m. 5 Suppose 3*s + 3*j = 21, 0 = 4*j - 3 - 9. Solve 0 = s*y - 1 - 7 for y. 2 Let s be (-2 - 0) + 11 + -2. Let u = -7 + s. Solve 2*y + u*y = -6 for y. -3 Let g be 1 + (-6)/5 + (-7)/(-35). Solve g - 2 = q for q. -2 Let m = -111 + 113. Solve -b = -m*b + 1 for b. 1 Suppose -33 = -3*m + 2*v - 3*v, 4*m = -5*v + 44. Let x = 3 + 1. Suppose -4*g - 31 = -5*g. Solve -x*q + g = m for q. 5 Let n(a) be the first derivative of -a**3/3 - 13*a**2/2 - 13*a + 6. Let h be n(-11). Solve 0*r + 3*r + h = 0 for r. -3 Let p be ((-1)/(-2))/((-6)/36). Let o be (-9)/p - (2 + -2). Solve o = 3*u + 6 for u. -1 Suppose 2*t = 2*j - 52, -2*j + 74 = -5*t + 25. Let f = -11 + j. Solve -k = 3*k + f for k. -4 Let y = 5 - 3. Suppose 5*q = -2*v + 4*v - 160, 160 = -5*q - 3*v. Let l be 8/q*-16*1. Solve l*t = -14 + y for t. -3 Let v be 58/6 - (-1)/3. Let k = v + -6. Solve -k*p + 3*p = -5 for p. 5 Let m be 5/(-1 - -1*2). Let d be ((-6)/(-5))/((-6)/(-40)). Let p be 12/m + d/(-20). Solve 0 = -p*c + 10 for c. 5 Let k = -54 - -54. Solve -4*p + k*p + 12 = 0 for p. 3 Let z = -11 + 23. Let s = -12 + z. Solve s*h + 2*h = 0 for h. 0 Suppose -5*a + 10 = -0*z + 2*z, 5*z = 0. Suppose -4*u + a*u = 0. Solve u*q = -q for q. 0 Suppose 0*h - 4*n + 16 = -2*h, 0 = -h - n + 7. Let a(f) = -f + 2*f**2 + f**3 - 3 + 3*f + f**3. Let w be a(h). Solve -w = 5*j - 0 for j. -5 Suppose 2*u - 2 = 3*i, -6*u = -u + 3*i - 5. Let l be (-9 - 2)*1*-2. Suppose 3*j + 2*z = 3*z + l, 3*j + z = 32. Solve 2*p + j + u = 0 for p. -5 Suppose -f = -2*w - 1, -2*w + f + 2 = 3*f. Suppose w*o = -3*o + 6. Solve -o*y = 2*y + 8 for y. -2 Suppose -5*o = -4 - 46. Suppose o = 4*a - 2. Solve -a*w - 2 = 13 for w. -5 Let s be (14/(-4))/(1/(-2)). Let c = s + -4. Suppose -c*d - 2*d + 6 = 3*x, 0 = 3*d. Solve -x*g + 13 - 3 = 0 for g. 5 Suppose -3 = -4*j + 5. Solve 0*w + 8 = -j*w for w. -4 Let o(v) = v**3 + v**2 + v - 1. Let p(l) = l**3 + 5*l**2 + l + 6. Let a be p(-5). Let g be o(a). Solve -q - 2 = g for q. -4 Let h = 40 - 39. Let w(l) = 2*l - 1. Let b(c) = -c + 1. Let u(s) = 3*b(s) + w(s). Let g be u(h). Solve g + 8 = -3*f for f. -3 Let z(q) = -q**3 + 27*q**2 + q - 12. Let p be z(27). Solve 6*h - p = 3*h for h. 5 Let x = -1 - -1. Let d be ((-3)/(-6))/(1/6). Suppose -m = d*m - 12. Solve v = -m - x for v. -3 Let m(h) = -20*h**2 - 36*h - 15. Let j(y) = 7*y**2 + 12*y + 5. Let i(n) = 17*j(n) + 6*m(n). Let o be i(-9). Solve -4*v - 6 = -o for v. 4 Let f be (4 - (6 + -3))*3. Let o be 1*(-2 - f/(-1)). Solve -4*u + o = 21 for u. -5 Suppose -9 - 6 = 3*c, 3*c = -3*l - 12. Solve 0 = 2*d - l + 7 for d. -3 Let w(v) = -v**2 + 3*v + 3. Let n be w(3). Suppose o = -5*a + 25, -2 - 15 = -o - n*a. Let t(c) = c**2 - 5*c + 4. Let g be t(5). Solve -o = g*r - 3*r for r. -5 Suppose 0 = -6*z + 23 - 5. Solve 0*f - z*f - 15 = 0 for f. -5 Let f(o) = o + 1. Let c be f(4). Let s(i) = -6*i**2 - 3*i + 2. Let a(d) = 7*d**2 + 4*d - 1. Let j(n) = -5*a(n) - 6*s(n). Let m be j(c). Solve b = -b + m for b. 4 Suppose 2*v + 4*n - 2*n = 40, 2*v - 52 = n. Suppose 0 = -4*o + 2*h + v, h + 3 = o - 2. Let k = o + -4. Solve -b = -k*b - 8 for b. -4 Let o = -40 - -42. Solve 0 = o*l - 4 - 2 for l. 3 Let a = 0 - 0. Let k(l) = 3*l**2 + 2*l + 1. Let v be k(-1). Suppose -4*z + 100 = 5*m, -v*m = -0*m + 5*z - 40. Solve -5*h = -a*h - m for h. 4 Suppose 0 = -4*d + f + 16, 2*f - 3 = -5*d - f. Suppose -2*m + 3*j + 4 = 0, d*m + m - 5*j = 8. Solve -3*v + 15 = m*v for v. 3 Let v(y) = -y**3 + 7*y**2 + 2*y + 2. Suppose r = 3*a - 16, 3*a + 5*r - 15 = 31. Let o be v(a). Solve -o = 5*s - s for s. -4 Let r = 11 - 5. Solve -r = 2*j - 2 for j. -2 Let k(x) = x**2 + 3*x + 4. Suppose 4*a + 18 - 6 = 0. Let c be k(a). Suppose c*h - 8 = -0*h. Solve h*d + d = 12 for d. 4 Let d be (1 + 0 - 2) + 3. Solve 2*g - 20 = -d*g for g. 5 Suppose 6*s = s - 3*g + 20, -3*s = 3*g - 18. Suppose -4*c = -3*d + 5, 4*c = d + 2*c - s. Solve 0 = -d*j + 6*j for j. 0 Let o be (-145)/(-3) + 1/(-3). Let c be o/5 + 4/10. Solve c = -2*m + 7*m for m. 2 Let t(p) = -p**2 - 7*p + 35. Let l be t(-10). Solve 0 = -0*h + 5*h + l for h. -1 Suppose 3*n + 6 - 18 = 0. Suppose 6*h = n*h. Suppose 4*y + h*y = 24. Solve y*b = 2*b + 20 for b. 5 Let c = -1 + 3. Solve c*h - 4 = -0*h for h. 2 Let d be 3*(-4)/6*2. Let f be (-1 - 1) + (d - -6). Solve 2*u + f = 4 for u. 2 Let i be 0/(0/(-4) + -1). Let l = 0 + i. Solve 3*m + 5 - 2 = l for m. -1 Let j(c) = -c**2 + 1. Let g(z) = 5*z**2 + 4*z - 8. Let n(s) = g(s) + 4*j(s). Let l be n(-5). Solve -21 = -4*h - l for h. 5 Let s = 9 - 5. Suppose 4*k = 2*i, -1 + 15 = -k + s*i. Solve -7*j = -k*j - 10 for j. 2 Let m be (16 + -1)*(-3)/(-3). Suppose -7*p + m = -2*p. Solve -p*s = -2*s + 4 for s. -4 Let c = -10 - -11. Let m be 0/((-3 + c)/(-2)). Solve p + 2 + 1 = m for p. -3 Let k(i) = 2*i + 9. Let t be k(-6). Let y be (-5)/((-50)/(-6))*5. Let g = y - t. Solve g = -2*v + 7*v for v. 0 Let f(x) = -x**3 + 9*x**2 + 10*x + 4. Let c be f(10). Solve 3*l + 3 = c*l for l. 3 Suppose 5*t - 3*t - 14 = 0. Let b(f) = t + 0 - 3*f + 2*f. Let n be b(5). Solve -2 = n*a + 2 for a. -2 Let q = 10 - 0. Let h = q + 2. Let m = -4 + h. Solve 0*a - m = 2*a for a. -4 Suppose 5*d = z + 4, 0 = -d - 3*z - 10 - 2. Suppose 0 = 5*q - 3*l + 6, 2*l + 4 - 8 = d. Suppose -4*b + 8 = -2*b. Solve 0 = -q*y + 2*y + b for y. -2 Let h be 1/1*(-9)/(-9). Solve -h = -k - 3 for k. -2 Suppose -4 = 3*o - 10, -5*c + 12 = o. Suppose -c*m - 4 = -4*m. Solve -2 = m*w - 0 for w. -1 Suppose 3*z - 1 = 4*r + 6*z, -2*r + 2*z = -10. Solve 0*f - f - r = 0 for f. -2 Suppose y - 6*j = -3*j + 15, -10 = -3*y + 2*j. Solve y = -5*m - 15 for m. -3 Suppose 22 + 23 = 3*x. Suppose x = -5*h + 2*y, -3*h + 3*y - 8 = 2*y. Let r be -4*8/2*h. Solve 5*l + 41 = r for l. -5 Let y = -57 - -37. Let f = y - -22. Solve -3*t = f*t + 25 for t. -5 Suppose t + q + 4*q = 17, -t + 5*q = 13. Solve -t*z + 2 - 8 = 0 for z. -3 Let k be (-8 - 1) + 4/2. Let r = 9 + k. Solve 1 = -z - r for z. -3 Suppose 5*d + 81 = 5*l - 24, 3*l - 66 = 2*d. Solve l = 5*c + 4 for c. 4 Let m = 18 + -17. Let u = 0 + 5. Solve m + u = 3*l for l. 2 Suppose -40*r + 60 = -36*r. Solve -w - 4*w + r = 0 for w. 3 Let t be (-3)/(-4) + (-2)/(-8). Suppose -d + t = -3. Solve 0 = -p + d*p + 9 for p. -3 Let m = -81 - -83. Solve -5*y + 6 = -m*y for y. 2 Let j(t) = -2*t + 8. Let h be j(4). Solve 2*s = -h*s for s. 0
Three letters picked without replacement from tzwfzzmnwtzzn. What is prob of picking 1 f, 1 m, and 1 w? 1/143 Four letters picked without replacement from {o: 2, v: 4, c: 4, a: 2, q: 5}. What is prob of picking 1 q and 3 c? 1/119 Two letters picked without replacement from rrmrvwy. Give prob of picking 1 r and 1 v. 1/7 Three letters picked without replacement from dddsdssfsfdfdd. Give prob of picking 2 d and 1 f. 9/52 Three letters picked without replacement from {t: 7, a: 3, e: 1, j: 1}. Give prob of picking 1 e and 2 t. 21/220 Three letters picked without replacement from {y: 1, o: 4, l: 1, i: 2, u: 6, j: 4}. Give prob of picking 2 o and 1 y. 1/136 Three letters picked without replacement from ttt. What is prob of picking 3 t? 1 Three letters picked without replacement from obbooooooooobooooo. Give prob of picking 1 b and 2 o. 105/272 What is prob of picking 1 g and 1 y when two letters picked without replacement from mmmmmgyymmmmmm? 2/91 Four letters picked without replacement from wnzwwxrwkkwnwrrnw. What is prob of picking 1 x, 1 z, 1 r, and 1 n? 9/2380 What is prob of picking 1 n, 1 u, and 1 h when three letters picked without replacement from gnhfhuggnggguhu? 18/455 Three letters picked without replacement from {r: 1, z: 17}. What is prob of picking 2 z and 1 r? 1/6 Two letters picked without replacement from {a: 2, p: 3, y: 2, l: 1, e: 6}. What is prob of picking 1 l and 1 e? 6/91 Calculate prob of picking 1 v, 1 a, and 1 m when three letters picked without replacement from {m: 3, i: 2, v: 1, a: 6}. 9/110 Two letters picked without replacement from {c: 3, o: 4, w: 1, f: 2}. Give prob of picking 2 f. 1/45 What is prob of picking 3 q when three letters picked without replacement from qqqqqq? 1 What is prob of picking 2 u when two letters picked without replacement from uufkbbls? 1/28 Three letters picked without replacement from tettetkeet. Give prob of picking 1 e, 1 k, and 1 t. 1/6 Calculate prob of picking 1 p and 2 y when three letters picked without replacement from {g: 2, i: 8, r: 3, p: 4, y: 2}. 4/969 Three letters picked without replacement from {o: 4, q: 3, x: 1, i: 3, b: 5, w: 1}. What is prob of picking 1 o, 1 x, and 1 i? 3/170 Two letters picked without replacement from lbr. Give prob of picking 1 l and 1 b. 1/3 What is prob of picking 1 h, 1 l, and 1 a when three letters picked without replacement from aalaauuhaal? 4/55 What is prob of picking 1 j, 2 g, and 1 v when four letters picked without replacement from {t: 1, j: 1, v: 2, x: 2, g: 2, n: 7}? 2/1365 What is prob of picking 1 x and 1 e when two letters picked without replacement from {e: 9, s: 6, x: 2, n: 2}? 2/19 What is prob of picking 3 o when three letters picked without replacement from {m: 3, o: 4}? 4/35 What is prob of picking 2 d and 2 y when four letters picked without replacement from yyydyyyyyydyyydyyy? 7/68 What is prob of picking 3 g when three letters picked without replacement from {q: 4, g: 10}? 30/91 What is prob of picking 1 x and 1 h when two letters picked without replacement from hhxhepxhue? 8/45 What is prob of picking 1 g, 1 j, and 1 q when three letters picked without replacement from {q: 2, g: 3, n: 6, j: 2, h: 6}? 4/323 Two letters picked without replacement from ssswsws. What is prob of picking 1 s and 1 w? 10/21 What is prob of picking 2 x and 1 j when three letters picked without replacement from jgxgjxjxxjxgx? 30/143 Calculate prob of picking 2 h and 1 j when three letters picked without replacement from hhhhjhhhjh. 7/15 Calculate prob of picking 1 k and 1 w when two letters picked without replacement from {r: 2, k: 1, w: 4}. 4/21 Two letters picked without replacement from {w: 3, z: 1}. What is prob of picking 2 w? 1/2 Calculate prob of picking 1 r, 1 m, and 1 c when three letters picked without replacement from pmtcr. 1/10 Three letters picked without replacement from {b: 5, e: 1, o: 3, t: 3}. What is prob of picking 1 b, 1 e, and 1 t? 3/44 Three letters picked without replacement from {c: 7, o: 1}. What is prob of picking 1 o and 2 c? 3/8 What is prob of picking 2 v when two letters picked without replacement from vvvvvvv? 1 Four letters picked without replacement from cuxxuccc. Give prob of picking 1 x, 1 u, and 2 c. 12/35 What is prob of picking 2 f and 1 s when three letters picked without replacement from {f: 4, s: 7}? 14/55 Two letters picked without replacement from jtjqbarrjrrj. Give prob of picking 1 t and 1 q. 1/66 Four letters picked without replacement from {w: 6, k: 12}. What is prob of picking 1 w and 3 k? 22/51 Three letters picked without replacement from {h: 3, b: 6, n: 3, m: 1, e: 5}. What is prob of picking 1 m, 1 h, and 1 n? 3/272 Calculate prob of picking 1 a, 1 v, and 1 z when three letters picked without replacement from vqvqvzbqabvv. 1/44 Calculate prob of picking 1 i, 1 g, and 1 p when three letters picked without replacement from idggp. 1/5 What is prob of picking 3 e when three letters picked without replacement from eeeeeeveeevveeeeeeve? 28/57 Four letters picked without replacement from {f: 1, v: 2, a: 8, x: 2, r: 2}. What is prob of picking 1 r, 1 f, and 2 x? 2/1365 Calculate prob of picking 1 n and 2 h when three letters picked without replacement from {h: 3, v: 3, c: 1, n: 7}. 3/52 What is prob of picking 4 q when four letters picked without replacement from nqstnqtqq? 1/126 Calculate prob of picking 1 g and 1 o when two letters picked without replacement from {m: 1, g: 1, o: 2}. 1/3 Two letters picked without replacement from {j: 6, k: 11, m: 1}. What is prob of picking 1 j and 1 m? 2/51 Calculate prob of picking 1 d and 1 h when two letters picked without replacement from {e: 5, d: 4, u: 6, h: 1, k: 4}. 2/95 Three letters picked without replacement from {q: 2, s: 11, c: 1}. What is prob of picking 1 s and 2 q? 11/364 Two letters picked without replacement from fvymqffffvvvyffynyqf. What is prob of picking 1 y and 1 q? 4/95 Calculate prob of picking 1 c and 1 y when two letters picked without replacement from dccyzcyydcy. 16/55 What is prob of picking 4 u when four letters picked without replacement from iuuuiuuuiiuuiiui? 9/130 Calculate prob of picking 2 a and 1 m when three letters picked without replacement from {m: 5, a: 11}. 55/112 Two letters picked without replacement from {x: 5, p: 2, y: 2}. Give prob of picking 1 x and 1 y. 5/18 What is prob of picking 1 v and 2 y when three letters picked without replacement from gvvagvgvvvvayvvgggyv? 1/114 Two letters picked without replacement from {j: 1, l: 1, f: 2, e: 1, o: 1, n: 1}. What is prob of picking 1 n and 1 o? 1/21 What is prob of picking 1 a and 1 s when two letters picked without replacement from {s: 1, a: 3, e: 3}? 1/7 Calculate prob of picking 1 y, 1 c, and 1 e when three letters picked without replacement from yyyeyccvvv. 1/15 Four letters picked without replacement from {c: 1, e: 7, z: 2}. Give prob of picking 3 e and 1 z. 1/3 Four letters picked without replacement from {k: 6, n: 2, j: 1, h: 5, y: 3}. Give prob of picking 3 k and 1 n. 2/119 Calculate prob of picking 1 n and 1 b when two letters picked without replacement from ynjbtyttybyby. 1/26 Four letters picked without replacement from {e: 14, i: 4}. Give prob of picking 2 e and 2 i. 91/510 What is prob of picking 1 x and 2 w when three letters picked without replacement from qqqwxsxwxwxqqqqx? 3/112 What is prob of picking 3 d when three letters picked without replacement from {d: 5, o: 3}? 5/28 Calculate prob of picking 1 g, 1 t, and 1 n when three letters picked without replacement from {h: 3, x: 1, g: 3, n: 1, v: 2, t: 3}. 9/286 Four letters picked without replacement from {r: 3, w: 5}. Give prob of picking 1 r and 3 w. 3/7 What is prob of picking 2 p and 2 m when four letters picked without replacement from {m: 5, p: 9}? 360/1001 Calculate prob of picking 3 w and 1 v when four letters picked without replacement from {v: 17, w: 3}. 1/285 Two letters picked without replacement from {f: 2, e: 6, w: 3, l: 2, j: 2}. What is prob of picking 1 l and 1 e? 4/35 Four letters picked without replacement from ididddddldiididilz. What is prob of picking 3 d and 1 i? 14/85 What is prob of picking 3 i when three letters picked without replacement from iimimimi? 5/28 Four letters picked without replacement from dddcdaaadcadccc. Give prob of picking 1 d, 2 a, and 1 c. 12/91 Two letters picked without replacement from ynyyyyyny. Give prob of picking 2 y. 7/12
Let d(n) = 29*n - 20. Let j(b) = 4*b - 4. Let r be j(2). Let h be d(r). Calculate the greatest common factor of h and 144. 48 Suppose -v + 60 = -17. Let c = v + -38. Calculate the highest common factor of c and 78. 39 Suppose 8*g = 11*g + 5*q - 1794, -1821 = -3*g + 4*q. Calculate the greatest common divisor of 18 and g. 9 Suppose q - 19 = 5*g - 2*q, 2*q - 6 = 0. Let o be (-2 + -1)*g/3. Suppose 4*a = o*k - 186, 3*a = 4*k + k - 437. What is the greatest common divisor of k and 17? 17 Let u be -2 + ((-27)/(-6))/(-9)*-18. Let x be 10/(-2)*(u - 10 - 29). Calculate the highest common factor of 10 and x. 10 Let d be (24 - (1 - -1)) + (18 - 20). Calculate the greatest common divisor of d and 60. 20 Let a = 134 + -85. What is the greatest common factor of a and 1? 1 Let w = -29 + 33. Let c = w + -1. Suppose c*y + 2*y = 45. Calculate the greatest common divisor of 6 and y. 3 Let q(i) = -i**3 - 16*i**2 - 29*i - 11. Let f be q(-14). Suppose 2*j - 93 = -3*r - f*j, -j = -3. Calculate the highest common factor of 78 and r. 26 Let h(q) = q**2 - 42*q - 171. Let u be h(-4). Calculate the highest common divisor of u and 13. 13 Let v be ((-6)/4)/((-81)/5994). What is the highest common factor of v and 74? 37 Let h = 247 - 215. Calculate the greatest common divisor of h and 352. 32 Let l(c) = -c**3 + 15*c**2 - 14*c - 20. Let t be l(14). Let o = t + 33. What is the highest common factor of 13 and o? 13 Suppose 0 = 5*i - 3*i - 6. Suppose 5*l = -18 - 2, i*l = -3*t + 3. Let j = -974 - -976. What is the highest common factor of j and t? 1 Let r = 476 - 292. Calculate the highest common factor of r and 8. 8 Suppose -u + 59 = 2*u - 5*q, -2*u = 5*q - 81. What is the greatest common factor of 196 and u? 28 Let t be (7/14)/(1/4). Suppose -f + x + 103 + 17 = 0, -237 = -t*f - x. What is the greatest common factor of f and 17? 17 Let b be 6/10 + 252/(-20). Let d = 45 + -46. Let t be (d - -11)*b/(-30). What is the highest common factor of 8 and t? 4 Suppose 0 = u - 5*u + 684. Let w(t) = 2*t**2 + 296*t + 1449. Let j be w(-5). What is the greatest common factor of u and j? 19 Let s(l) = 3*l**3 - l**2 - 2*l + 6. Let k be s(2). What is the greatest common divisor of 330 and k? 22 Suppose -3*x - 6*x + 108 = 0. Suppose 4*l - x = 0, 3*f = -l + 81 + 222. What is the highest common factor of f and 40? 20 Suppose 151 = -5*x + 181. What is the highest common factor of 21 and x? 3 Let o(j) = -j - 2. Let l be o(-7). Suppose -l = -3*x + 13. Suppose -k - k + x = 0. Calculate the highest common factor of 3 and k. 3 Let j = -1838 - -2114. What is the greatest common divisor of j and 759? 69 Let z(y) = 34*y + 2. Let r be z(-5). Let f = 284 + r. Calculate the highest common divisor of 29 and f. 29 Let z(c) = 3*c - 16. Let w(y) = -y**3 - 3*y**2 + 4*y + 8. Let l be w(-4). Let v be z(l). What is the greatest common divisor of 40 and v? 8 Let w(q) = -5*q + 78. Let o be w(5). Calculate the highest common divisor of 2 and o. 1 Let n be (-4 - 0)/((-6)/9). Let i = 554 + -488. What is the highest common divisor of i and n? 6 Let c = 149 - 86. Suppose -5*q + 3*j = -3*q - 39, -2*q + j + 37 = 0. Calculate the greatest common divisor of c and q. 9 Let m = 214 - 170. Calculate the greatest common divisor of m and 8. 4 Let m = -139 - -164. Let x = 14 - 25. Let t be (0 - -1)*(-1 - x). What is the highest common factor of m and t? 5 Suppose -25 = -5*h, -2*i = -7*i + 2*h - 170. Let t(q) = -q - 11. Let f be t(10). Let c = f - i. Calculate the greatest common divisor of c and 44. 11 Let v = -128 - -132. Suppose -4*f - 4*n = -9 - 75, f - 31 = -3*n. Calculate the greatest common divisor of v and f. 4 Let i(u) = -u**3 - 6*u**2 + 26*u - 8. Let q be i(-9). Let j be (-2 - 1)/(-1) + 2. Calculate the greatest common factor of j and q. 1 Let w = -43 + 65. Let o be (-4)/10 - -4*w/20. Calculate the highest common factor of 1 and o. 1 Let m(q) = -15*q**2 - 14*q - 15. Let u(z) = -z**3 + z**2 + z + 1. Let k(v) = -m(v) - u(v). Let a be k(-13). Calculate the greatest common divisor of 154 and a. 14 Suppose 1050 = 41*u - 39*u. Calculate the highest common factor of u and 70. 35 Suppose 6 = 5*i - 14. Suppose d = 5*y - 0*d + 706, 0 = -i*d - 16. Let n = 230 + y. Calculate the highest common factor of 8 and n. 8 Let u = 425 - 217. What is the highest common factor of 156 and u? 52 Let m be 376*21/(-105)*(-10)/4. What is the highest common divisor of 141 and m? 47 Let j be -3 + 2 + -2 + 33. Let w = j + -25. Suppose 2*k = -4*t + 83 - 21, -w*k = -2*t + 1. What is the highest common divisor of t and 39? 13 Let o(a) = a**2 + 5*a - 4. Let f be -1*1*(-2 - -6). Let k be o(f). Let h = k - -12. What is the greatest common factor of 12 and h? 4 Let j(z) = -190*z + 38. Let q be j(-6). Calculate the highest common factor of q and 38. 38 Let j(q) = -20*q - 143. Let k be j(-55). Calculate the greatest common factor of k and 33. 33 Let k be (162/24 + -3)*80/15. Let d be 1/2 - 558/(-4). What is the highest common divisor of d and k? 20 Suppose -4*w + q + 10 = 0, -15 - 1 = -2*w - 5*q. Let v = 3 - w. Suppose 2*n - 190 + 46 = v. What is the highest common divisor of n and 9? 9 Let k be 3 + (-5)/((-10)/(-4)). Suppose 9*p - 12 - 33 = 0. Calculate the greatest common divisor of p and k. 1 Suppose 45*j = 50*j - 5015. What is the greatest common factor of 17 and j? 17 Suppose -12*a + 13*a = 2. Suppose 0 = -2*m + 4*u + 22, -a*u + 4*u - 46 = -2*m. What is the highest common divisor of 19 and m? 19 Suppose 395 + 715 = 37*o. What is the highest common divisor of 25 and o? 5 Let n(k) = 4*k**2 + 14*k + 11. Let w(c) = 5*c**2 + 14*c + 10. Let p(y) = -6*n(y) + 5*w(y). Let g be p(16). What is the highest common factor of 144 and g? 16 Let c(h) = 2*h - 3. Let p(d) = -5*d + 10. Let t(b) = 11*c(b) + 4*p(b). Let y be t(-5). Let o be 1*(2 + y - -47). What is the greatest common factor of 23 and o? 23 Suppose 28 = -g + 5*g. Suppose -5*l + 3*b = -0*l + 4, -5*l = 2*b - 11. Calculate the greatest common factor of l and g. 1 Let s(x) = -x**2 + 11*x - 2. Let v be s(9). Suppose b - 13 = v. Calculate the highest common divisor of b and 261. 29 Suppose 0 = 3*o - 350 + 116. Let f be ((-6)/9)/((-4)/o). What is the greatest common divisor of f and 13? 13 Let u be 1 + (18 + 2)/5. Let p be (8/10)/(u/125). Calculate the greatest common factor of 20 and p. 20 Let b(h) = 17*h + 600. Let s be b(-26). What is the greatest common divisor of 1343 and s? 79 Let y be (-5 + (-410)/(-50))*(-205)/(-2). Calculate the highest common divisor of 123 and y. 41 Let l(r) = -24*r + 2. Let v be l(-2). What is the highest common factor of v and 200? 50 Suppose -9*v = -7*v + 18. Let k(h) = h**2 + 9*h + 3. Let u be k(v). Calculate the highest common divisor of u and 9. 3 Let a(v) = 0 + 3 + 1 - v - 3. Let h be a(5). Let d be 0 + 0 - h*2. What is the highest common factor of 2 and d? 2 Let i = 92 + -7. Let b = i - 21. What is the highest common divisor of 8 and b? 8 Let a be 4*2/(-76) - 90600/(-76). What is the greatest common divisor of a and 8? 8 Let d(k) = 9*k**3 - 17*k**2 + 16*k + 1. Let g be d(1). What is the highest common divisor of 99 and g? 9 Let r(s) = 7*s**2 - 129*s - 61. Let f be r(19). What is the greatest common divisor of 465 and f? 15 Suppose 2*s = -0*s + 240. Suppose 53 = -x + 4*c, 2*x + 54 + 2 = -2*c. Let o = x - -48. What is the highest common divisor of o and s? 15 Suppose 5*z + 15*x - 10*x = 165, 3*x = 3*z - 99. Calculate the highest common factor of z and 143. 11 Suppose -876*r + 887*r = 1210. Calculate the greatest common factor of r and 550. 110 Suppose -8 = 3*m - 56. Let r(b) = -b**2 + 29*b - 22. Let q be r(27). What is the highest common divisor of m and q? 16 Suppose 0 = 4*w - 58 - 18. Suppose -w*p = -24*p + 130. Calculate the highest common divisor of 39 and p. 13 Let v(j) = 11*j - 103. Let b be v(17). What is the greatest common factor of b and 70? 14 Let u be (1694/(-33))/((-1)/6). Let x = 26 - -2. What is the greatest common divisor of x and u? 28 Let h = -25 + 27. Suppose -190 = -3*o + 2*c, -h*c + 0*c = 4. Calculate the greatest common factor of 93 and o. 31 Suppose -1 = -u, 4*u + 12 - 38 = -2*h. Suppose -2*z - 25 = -3*a, 2*a + h = -4*z + 33. What is the greatest common divisor of 63 and a? 9 Let g = -15 + 14. Let t be (6 + 6)*(0 - g). Suppose 3*b - 240 = -b. What is the greatest common factor of t and b? 12 Suppose 546 + 70 = 7*i. Suppose 2*s + i = -3*o - o, 0 = 5*o + 15. Let k be (s/6)/(10/(-60)). Calculate the highest common factor of 304 and k. 38
What is the eighth root of 95860 to the nearest integer? 4 What is the square root of 251 to the nearest integer? 16 What is the fifth root of 1531 to the nearest integer? 4 What is 790 to the power of 1/2, to the nearest integer? 28 What is the third root of 10506 to the nearest integer? 22 What is the square root of 6308 to the nearest integer? 79 What is the fourth root of 78979 to the nearest integer? 17 What is 1780 to the power of 1/2, to the nearest integer? 42 What is 15472 to the power of 1/6, to the nearest integer? 5 What is the square root of 6749 to the nearest integer? 82 What is the tenth root of 21810 to the nearest integer? 3 What is 2973 to the power of 1/3, to the nearest integer? 14 What is the seventh root of 93734 to the nearest integer? 5 What is the cube root of 25431 to the nearest integer? 29 What is the third root of 82940 to the nearest integer? 44 What is 16799 to the power of 1/2, to the nearest integer? 130 What is 13371 to the power of 1/10, to the nearest integer? 3 What is the square root of 150 to the nearest integer? 12 What is 102433 to the power of 1/2, to the nearest integer? 320 What is 12424 to the power of 1/3, to the nearest integer? 23 What is 6838 to the power of 1/10, to the nearest integer? 2 What is 38783 to the power of 1/2, to the nearest integer? 197 What is the square root of 13699 to the nearest integer? 117 What is 2591 to the power of 1/3, to the nearest integer? 14 What is 2041 to the power of 1/2, to the nearest integer? 45 What is the cube root of 17823 to the nearest integer? 26 What is the square root of 3905 to the nearest integer? 62 What is 82 to the power of 1/5, to the nearest integer? 2 What is the sixth root of 1270 to the nearest integer? 3 What is the sixth root of 118613 to the nearest integer? 7 What is the cube root of 2004 to the nearest integer? 13 What is the fourth root of 37919 to the nearest integer? 14 What is 10292 to the power of 1/4, to the nearest integer? 10 What is the fourth root of 2041 to the nearest integer? 7 What is the square root of 157 to the nearest integer? 13 What is 37790 to the power of 1/9, to the nearest integer? 3 What is 36805 to the power of 1/3, to the nearest integer? 33 What is 579 to the power of 1/2, to the nearest integer? 24 What is 2464 to the power of 1/2, to the nearest integer? 50 What is the third root of 7926 to the nearest integer? 20 What is 2843 to the power of 1/10, to the nearest integer? 2 What is 682 to the power of 1/3, to the nearest integer? 9 What is the square root of 348 to the nearest integer? 19 What is the square root of 794 to the nearest integer? 28 What is the third root of 5078 to the nearest integer? 17 What is the third root of 67616 to the nearest integer? 41 What is 50491 to the power of 1/2, to the nearest integer? 225 What is the square root of 30872 to the nearest integer? 176 What is 6141 to the power of 1/5, to the nearest integer? 6 What is the sixth root of 3062 to the nearest integer? 4 What is 2114 to the power of 1/8, to the nearest integer? 3 What is 9104 to the power of 1/2, to the nearest integer? 95 What is 38035 to the power of 1/2, to the nearest integer? 195 What is 1347 to the power of 1/3, to the nearest integer? 11 What is 1358 to the power of 1/2, to the nearest integer? 37 What is the cube root of 23008 to the nearest integer? 28 What is the cube root of 14577 to the nearest integer? 24 What is 195 to the power of 1/7, to the nearest integer? 2 What is the square root of 89 to the nearest integer? 9 What is the square root of 15 to the nearest integer? 4 What is the square root of 1214 to the nearest integer? 35 What is 9741 to the power of 1/8, to the nearest integer? 3 What is the fourth root of 9389 to the nearest integer? 10 What is the eighth root of 13519 to the nearest integer? 3 What is 4163 to the power of 1/3, to the nearest integer? 16 What is 36347 to the power of 1/3, to the nearest integer? 33 What is 1244 to the power of 1/5, to the nearest integer? 4 What is the fifth root of 7593 to the nearest integer? 6 What is 16069 to the power of 1/2, to the nearest integer? 127 What is 1519 to the power of 1/2, to the nearest integer? 39 What is the third root of 764 to the nearest integer? 9 What is the cube root of 2558 to the nearest integer? 14 What is the seventh root of 133366 to the nearest integer? 5 What is the third root of 26696 to the nearest integer? 30 What is the cube root of 37522 to the nearest integer? 33 What is the cube root of 1392 to the nearest integer? 11 What is the cube root of 984 to the nearest integer? 10 What is the cube root of 23562 to the nearest integer? 29 What is 671 to the power of 1/9, to the nearest integer? 2 What is the fifth root of 34243 to the nearest integer? 8 What is the fifth root of 2681 to the nearest integer? 5 What is the third root of 4076 to the nearest integer? 16 What is 2163 to the power of 1/2, to the nearest integer? 47 What is 2420 to the power of 1/3, to the nearest integer? 13 What is 119202 to the power of 1/3, to the nearest integer? 49 What is 17675 to the power of 1/2, to the nearest integer? 133 What is the square root of 12652 to the nearest integer? 112 What is the fifth root of 12572 to the nearest integer? 7 What is the cube root of 2085 to the nearest integer? 13 What is 409 to the power of 1/6, to the nearest integer? 3 What is 7776 to the power of 1/2, to the nearest integer? 88 What is the third root of 3783 to the nearest integer? 16 What is the tenth root of 6881 to the nearest integer? 2 What is the eighth root of 612 to the nearest integer? 2 What is the square root of 1002 to the nearest integer? 32 What is the sixth root of 2242 to the nearest integer? 4 What is the seventh root of 31320 to the nearest integer? 4 What is 64414 to the power of 1/6, to the nearest integer? 6 What is the cube root of 8431 to the nearest integer? 20 What is 5621 to the power of 1/7, to the nearest integer? 3 What is the tenth root of 3906 to the nearest integer? 2 What is 4558 to the power of 1/4, to the nearest integer? 8 What is 32045 to the power of 1/2, to the nearest integer? 179 What is 4143 to the power of 1/2, to the nearest integer? 64 What is 392 to the power of 1/7, to the nearest integer? 2 What is the fourth root of 590 to the nearest integer? 5 What is the third root of 377 to the nearest integer? 7 What is 10809 to the power of 1/5, to the nearest integer? 6 What is the square root of 1464 to the nearest integer? 38 What is the square root of 4355 to the nearest integer? 66 What is the ninth root of 9372 to the nearest integer? 3 What is the square root of 508 to the nearest integer? 23 What is 24404 to the power of 1/8, to the nearest integer? 4 What is the square root of 150805 to the nearest integer? 388 What is the third root of 12707 to the nearest integer? 23 What is the cube root of 10705 to the nearest integer? 22 What is 183373 to the power of 1/3, to the nearest integer? 57 What is 118079 to the power of 1/8, to the nearest integer? 4 What is 23103 to the power of 1/4, to the nearest integer? 12 What is the fourth root of 47223 to the nearest integer? 15 What is 624 to the power of 1/2, to the nearest integer? 25 What is 70577 to the power of 1/6, to the nearest integer? 6 What is 26541 to the power of 1/3, to the nearest integer? 30 What is 917 to the power of 1/10, to the nearest integer? 2 What is the ninth root of 1491 to the nearest integer? 2 What is the ninth root of 339 to the nearest integer? 2 What is the square root of 1041 to the nearest integer? 32 What is 2108 to the power of 1/3, to the nearest integer? 13 What is the fourth root of 32390 to the nearest integer? 13 What is the square root of 189 to the nearest integer? 14 What is 19437 to the power of 1/3, to the nearest integer? 27 What is the sixth root of 515 to the nearest integer? 3 What is 93664 to the power of 1/3, to the nearest integer? 45 What is the square root of 113606 to the nearest integer? 337 What is the third root of 24853 to the nearest integer? 29 What is the third root of 17857 to the nearest integer? 26 What is the square root of 7781 to the nearest integer? 88 What is the third root of 89236 to the nearest integer? 45 What is the seventh root of 77 to the nearest integer? 2 What is the square root of 2438 to the nearest integer? 49 What is the sixth root of 1346 to the nearest integer? 3 What is the third root of 4360 to the nearest integer? 16 What is 965 to the power of 1/3, to the nearest integer? 10
Suppose 0 = 4*k - 2 - 6, 5*k = 3*q - 23. Suppose 0 = -7*j + q*j - 16. Differentiate 47 - 15*u**4 + 4*u**j - 50 wrt u. -44*u**3 Find the second derivative of 2*l**2 - l**3 + 1974*l**4 - 54*l - 2*l**2 - 1930*l**4 wrt l. 528*l**2 - 6*l Let u be (-17 - -11)*4/(-6). What is the derivative of -6*q**4 - 6 - 12 - 2*q**u - q**4 wrt q? -36*q**3 Find the third derivative of -406*p**5 - 48*p**2 - 87*p**3 + 87*p**3 + 607*p**5 - 94*p**2 wrt p. 12060*p**2 Let v(l) = -90*l**3 - 6*l - 11. Let p(r) = -89*r**3 - 4*r - 10. Let w(x) = 3*p(x) - 2*v(x). What is the first derivative of w(c) wrt c? -261*c**2 Let c(z) be the first derivative of -5*z**6/3 - 3*z**5 + 23*z**3 - 208. Find the third derivative of c(j) wrt j. -600*j**2 - 360*j Let x(z) be the first derivative of -3*z**5/5 - 83*z**2 - 866*z - 222. Differentiate x(o) with respect to o. -12*o**3 - 166 Find the third derivative of -22*t**2 - 386*t**2 - 4*t + 4*t - 161*t**2 + 452*t**4 wrt t. 10848*t Find the third derivative of -438*s**2 + 91*s**6 + 624*s**2 + 34*s**6 - 2*s**3 + 2*s**3 wrt s. 15000*s**3 Find the third derivative of -171*d**4 - 137*d**2 + 87*d**2 - 136*d**2 - 4*d**3 + 4*d**3 wrt d. -4104*d Let j(g) be the first derivative of 0*g**3 + 9/2*g**2 - 7/3*g**6 + 0*g + 0*g**4 + 0*g**5 - 14. Find the second derivative of j(a) wrt a. -280*a**3 Let z(u) be the second derivative of u**3/6 - 3*u**2 - u. Let p be z(7). Differentiate p - 4*j**2 - 6 + 7*j**2 + 2 wrt j. 6*j Let t be (-2)/(-6)*(6 + -3). Suppose 5*k + t = 11. Differentiate -15*y**k + y - y + 18*y**2 - 6 wrt y. 6*y Let t = -27 - -29. Let x be (t + 2 + -9)/(-1). Find the third derivative of -18*i**2 + 29*i**2 + 4*i**x + i**2 wrt i. 240*i**2 Let a = 72 - 56. What is the first derivative of a + 7*s**3 - 19 + 31 + 17*s**3 wrt s? 72*s**2 Let u(y) be the first derivative of 43*y**2/2 - 21*y - 28. Let w(r) = 44*r - 23. Let p(s) = -5*u(s) + 4*w(s). What is the derivative of p(f) wrt f? -39 Let t(l) be the first derivative of 281*l**7/7 + 274*l**3/3 + 194. What is the third derivative of t(s) wrt s? 33720*s**3 Let a be (-516)/42 - (-2)/7. Let w = -9 - a. Find the third derivative of -w*c**2 + 11*c**6 - 5*c**2 - 5*c**6 wrt c. 720*c**3 Let c(d) = 117*d**4 - 4*d**3 - 93*d**2. Let t(y) = -350*y**4 + 11*y**3 + 280*y**2. Let x(s) = -11*c(s) - 4*t(s). Find the third derivative of x(l) wrt l. 2712*l Let z(t) = t**3 - 4*t**2 + 2. Let i be z(4). Let c be ((-16)/12)/(i/(-3)). Differentiate -c*p**2 + 1 - 1 - 4 + 3 wrt p. -4*p Let t = 22 + -12. What is the first derivative of t + 112*c**2 - 151*c**2 + c - c wrt c? -78*c Let w = 7 - -6. What is the third derivative of -8*f**2 + 47*f - 47*f - w*f**5 wrt f? -780*f**2 Suppose 0 = -12*b + 5*b + 14. Find the third derivative of h**b + 3 - 15*h**4 + 2658*h - 2658*h + 2*h**2 wrt h. -360*h Let p(v) be the second derivative of -331*v**3/6 - 173*v**2/2 + 3*v - 47. What is the derivative of p(g) wrt g? -331 Let f(y) be the first derivative of 34*y**2 - 5*y + 69. What is the first derivative of f(h) wrt h? 68 Let s(x) be the second derivative of x**6/15 - 9*x**5/5 - 83*x**4/4 - 14*x. Find the third derivative of s(h) wrt h. 48*h - 216 Let m(c) be the third derivative of 1/6*c**4 - 19/60*c**5 + 0*c**3 + 0*c + 0 + 9*c**2. Find the second derivative of m(q) wrt q. -38 Find the third derivative of 3*c**6 + 4318*c**2 - 4324*c**2 - 2*c**6 - 35*c**4 wrt c. 120*c**3 - 840*c Let k(j) be the second derivative of -17*j**8/56 + 14*j**4 + 45*j. What is the third derivative of k(y) wrt y? -2040*y**3 Let f(n) be the third derivative of 83*n**6/60 - n**4/8 - 5*n**3/3 - 24*n**2 - 2. What is the second derivative of f(i) wrt i? 996*i Let v(n) be the first derivative of -n**4/4 + 3*n**3 - n**2/2 + 13*n - 5. Let w be v(9). What is the second derivative of -5*m + 3*m**4 - 4*m + 0*m + w*m wrt m? 36*m**2 Let n(a) = a + 4. Let l(k) = k + 1. Let c be l(-3). Let s be n(c). What is the third derivative of -8*x**2 + 6*x**3 - 6*x**3 - x**4 + 2*x**s wrt x? -24*x Let j(s) = 2*s**2 + s + 2. Let h(l) = 2*l**2 - 3*l + 11. Let v(m) = -h(m) + 6*j(m). What is the second derivative of v(q) wrt q? 20 Suppose 0 = -r - 3, 0*d - 5*d + r = -3. Suppose -218 = -d*f - 2*f - 4*y, 3*y = 4*f - 458. Find the second derivative of 113*c**2 - 12*c**4 - 8*c - f*c**2 wrt c. -144*c**2 Let f(g) be the second derivative of -17*g**7/21 + g**5/20 - 25*g**4/4 + g - 1. What is the third derivative of f(r) wrt r? -2040*r**2 + 6 Find the second derivative of 59*b - 54*b**4 - 3 + 0*b**3 + 51817*b**2 - 51808*b**2 + 0*b**3 + 6*b**4 wrt b. -576*b**2 + 18 Let s = -20 + 22. Let l be 1 + (-2 + 0 - -4). Find the third derivative of 1 + y**s - 3*y**3 + y**l - 1 wrt y. -12 Let z(a) = 4*a**2 - 11*a + 8. Let i be z(6). What is the second derivative of -118*p**3 + p + 174*p**3 - i*p**3 + 0*p wrt p? -180*p Let o(p) be the second derivative of -4*p - 13/6*p**3 + 0 + 0*p**2 - 1/5*p**5 + 0*p**4. What is the second derivative of o(u) wrt u? -24*u Differentiate -319 - 39*a**4 - a + 112*a**2 - 112*a**2 + 18*a**4 with respect to a. -84*a**3 - 1 Let d(g) = -13*g**2 - 6*g - 2. Let r(f) = -13*f**2 - f - 3 + 3 - 4*f - 1. Let y(o) = -5*d(o) + 6*r(o). What is the first derivative of y(v) wrt v? -26*v Let u be (-90)/27*9/(-5). What is the second derivative of -2*z - u*z - 12*z**4 + z + z wrt z? -144*z**2 Let g(l) be the first derivative of -37*l**5/5 + 211*l + 423. What is the derivative of g(m) wrt m? -148*m**3 Suppose -3*x - 6*x + 135 = 0. Find the first derivative of -x*s**4 - 11 + 0 - 5*s**4 wrt s. -80*s**3 Let n be 1 - (-9)/((-18)/8). Let r(k) = 42*k**3 + 3*k**2 + 17. Let l(y) = -41*y**3 - 2*y**2 - 17. Let h(q) = n*l(q) - 2*r(q). Differentiate h(c) wrt c. 117*c**2 Let i(l) be the first derivative of 3*l**5/20 - l**3/6 + 6*l - 6. Let w(x) be the first derivative of i(x). What is the second derivative of w(s) wrt s? 18*s What is the second derivative of -22*y**5 + 57*y**5 + 13*y**5 + 86*y**5 + 118*y**5 - 8*y wrt y? 5040*y**3 Let a(p) = -p**3 - p**2 + p + 4. Let t(j) = -477*j**3 - 272*j**2 + 4*j + 17. Let i(v) = -4*a(v) + t(v). Find the third derivative of i(q) wrt q. -2838 Let o(y) be the first derivative of 11*y**2 + 15*y + 17. Let q(x) = x - 2. Let m(s) = -o(s) + 5*q(s). Find the first derivative of m(j) wrt j. -17 Let v(y) be the third derivative of 7/60*y**6 + 0 + 21*y**2 - 3/2*y**3 + 0*y + 0*y**4 + 0*y**5. Differentiate v(c) with respect to c. 42*c**2 Suppose 5*b = -3*p + 22, 0*b = b + 2*p - 10. Find the third derivative of 3*u**4 - 16*u**4 + 4*u**4 - 5*u**b - 6*u**2 wrt u. -216*u Suppose 0 = 5*k - 3*g - 11, -2*g + 1 = -k + 6. Let v(t) = -t + 1. Let u(o) = 7*o - 12. Let p(b) = k*u(b) + v(b). Differentiate p(l) wrt l. 6 Suppose 5*z - 7 = 3. Differentiate 1 + 4*b**3 + z - b**3 - 5*b**3 wrt b. -6*b**2 What is the second derivative of -10*w**4 - 281*w**2 + 145*w**2 + 59*w + 175*w + 139*w**2 + 53*w wrt w? -120*w**2 + 6 What is the second derivative of 1215*q**5 - q - 9*q + q**3 - 1 - 1213*q**5 wrt q? 40*q**3 + 6*q Let f(g) be the second derivative of g**6/10 - 39*g**5/20 - 63*g**4/4 - g - 295. What is the third derivative of f(l) wrt l? 72*l - 234 Let n(v) = 4*v**2 + 54*v + 26. Let o be n(-13). Let b(y) be the first derivative of 5*y + 2 + o*y**2 + 2/3*y**3. What is the first derivative of b(g) wrt g? 4*g Find the first derivative of 83*c**3 + 233 - 132*c**3 + 0*c**4 - c**4 + 0*c**4 wrt c. -4*c**3 - 147*c**2 Let y(u) be the second derivative of u**5/4 + 11*u**4/12 - u**3/3 + 19*u**2/2 + 33*u + 3. What is the second derivative of y(h) wrt h? 30*h + 22 Let y(s) be the third derivative of -719*s**6/120 - 260*s**3/3 + 442*s**2. Differentiate y(p) with respect to p. -2157*p**2 Let r(n) be the second derivative of -19*n**8/28 - n**4/6 - 67*n**2/2 - 20*n + 3. What is the third derivative of r(d) wrt d? -4560*d**3 Let r(g) = -g**2 - g + 1. Let v(h) = -65*h**2 - 42*h - 3. Let t(z) = 2*r(z) + v(z). Find the second derivative of t(a) wrt a. -134 Suppose 0 = -2*j + z - 2*z, -4*j = 4*z + 4. Suppose 4*a = 3*n + j, 3*a - 8 = a. Find the second derivative of 2*d**5 + 2*d**n + 4*d - 5*d**5 + 0*d wrt d. -20*d**3 Let z be (-2 - 8/(-6))*-3. Let t be (z/(-5))/(8/(-40)). Find the third derivative of -4*o**t - 4*o**2 + 5*o**4 + 0*o**4 wrt o. 120*o Let l(z) be the second derivative of -9*z - 15*z**2 + 1/6*z**6 + 0*z**4 + 0*z**5 + 0 + 0*z**3. What is the derivative of l(o) wrt o? 20*o**3 Suppose 0*i = 5*i. Let r be i*(2/1 + -3). What is the third derivative of -5*s**2 - 5*s**2 + r*s**5 - 4*s**5 + 9*s**2 wrt s? -240*s**2
-625.31 times 1 -625.31 Multiply -0.2 and 79.774. -15.9548 -0.5 times 80.431 -40.2155 -10 * -31674 316740 -111206 times 0.1 -11120.6 -1*13127 -13127 What is the product of -79 and 1.145? -90.455 2.5 times 1359 3397.5 -0.02*-7601 152.02 Multiply 0.04 and 0.10193. 0.0040772 What is 0.2 times -0.138554? -0.0277108 Work out 4 * 0.008914. 0.035656 -0.04762 times 24 -1.14288 Work out -0.2 * -34289. 6857.8 759 * 1988 1508892 Calculate 74568*-20. -1491360 -0.049 times -0.1811 0.0088739 Work out -68 * 0.18872. -12.83296 Product of 0.5 and 2108.2. 1054.1 0.43344*20 8.6688 What is 0 times 18812? 0 Multiply -0.06 and 43202. -2592.12 Product of 0 and -72.459. 0 Calculate -938880*0. 0 What is -0.36 times 1.4? -0.504 Multiply -2.6 and 3897. -10132.2 Product of 0.3 and -22098. -6629.4 What is -327 times 3518? -1150386 -0.044*-0.031 0.001364 16.93*-4.03 -68.2279 81*1.18 95.58 -1*-1319079 1319079 What is the product of -1740.7 and -0.4? 696.28 What is -0.043 times -13394? 575.942 Work out -1 * 7709. -7709 16 * -4404.3 -70468.8 Work out -0.0835 * -2.5. 0.20875 20*-0.0475 -0.95 Product of -112 and 4757. -532784 -285594 times -0.3 85678.2 Multiply 315171 and 11. 3466881 -7.9*369.5 -2919.05 What is the product of 6.174 and 4.8? 29.6352 Calculate -26*135.9. -3533.4 What is 0.587 times -3725? -2186.575 43*-7.983 -343.269 Multiply -195 and 6776. -1321320 What is 148694 times -0.3? -44608.2 0.06557 times 5 0.32785 What is -0.2 times -1.42987? 0.285974 Calculate 3870*-25. -96750 What is the product of -26051 and 12? -312612 Product of -13 and -235980. 3067740 Product of 9770 and 4. 39080 What is 5 times 9162.67? 45813.35 -20.93 * 2.4 -50.232 0.3 times -4439 -1331.7 Calculate -7*-5797. 40579 62.05*-6 -372.3 What is -3.5 times 85.77? -300.195 -0.36 * -2456 884.16 Product of 274.081 and 5. 1370.405 Work out -126707 * -0.2. 25341.4 -0.09 times -1143.9 102.951 Calculate 4*929.8. 3719.2 What is the product of 3 and -42506? -127518 Product of 19278 and -17. -327726 Calculate -32*-0.038566. 1.234112 Calculate -3273984*5. -16369920 -40.241*-1 40.241 Multiply 2116 and -0.131. -277.196 What is 422.2 times -1.4? -591.08 Product of -1.9 and 539.6. -1025.24 9 times -0.2 -1.8 Calculate -0.4*305914. -122365.6 426.62 * -3 -1279.86 Work out 1725 * -107. -184575 Multiply 2479 and 3. 7437 -4.3*-0.1852 0.79636 14.4 times 0.0124 0.17856 0.519*0.2 0.1038 Work out 92 * 2.8. 257.6 Work out 0.4 * 144450. 57780 0.0849 * 1.01 0.085749 3 times 120023.6 360070.8 42304 times 4 169216 -3*2403.9 -7211.7 What is 190 times 724? 137560 What is the product of -9189 and -2? 18378 0.647*-217 -140.399 -1.9 * -268.1 509.39 -0.0913*4.4 -0.40172 Product of -30 and 1478. -44340 What is -799.918 times -3? 2399.754 Work out -368587 * -0.2. 73717.4 What is the product of -13569 and -0.04? 542.76 Calculate 929*0.6. 557.4 What is the product of 0 and 1.7959? 0 Product of -411 and -0.0846. 34.7706 Calculate 0.2*198891. 39778.2 Calculate 0.223*0.293. 0.065339 0.00919 * 25 0.22975 Multiply 0.14 and 8.096. 1.13344 What is -5 times 10572.82? -52864.1 -105.892*0.5 -52.946 Calculate -0.04*-14.262. 0.57048 -165.05 * 0.4 -66.02 Work out -5 * 2595.6. -12978 What is 308.28 times -0.1? -30.828 What is 2 times 0.489718? 0.979436 What is the product of -20724 and 0.2? -4144.8 -5005*0.3 -1501.5 Calculate -198*1.4091. -279.0018 -0.096 * 36029 -3458.784 Calculate -0.2*12.692. -2.5384 643345 * 0.8 514676 Product of -26504 and -13. 344552 Product of -1 and 4.25455. -4.25455 2937383 times -3 -8812149 Calculate -0.160847*-0.5. 0.0804235 6 * 13324.1 79944.6 Calculate 145*7. 1015 Multiply -17 and 5687. -96679 What is 31.347 times 23? 720.981 -1511 * 0.0137 -20.7007 Product of 27188 and 0.08. 2175.04 Calculate -0.2*-12485. 2497 -0.8 times -421.18 336.944 -0.3 * -0.50852 0.152556 What is the product of -3186 and -106? 337716 0.07*-224.01 -15.6807 48756 times 23 1121388 3831*-3 -11493 10.36 times 1357 14058.52 -2*29.221 -58.442 -0.058 times -71 4.118 Calculate -861321*1. -861321 -97 * -3.42 331.74 Product of -0.039 and -776. 30.264 Work out -33075 * -0.46. 15214.5 -0.41 times 0.2247 -0.092127 Calculate 220*2003. 440660 Product of 3 and 118757. 356271 Multiply 12 and -70082. -840984 Product of -15.6131 and -0.4. 6.24524 Product of 4 and -0.20675. -0.827 Product of -4 and -25709. 102836 What is the product of 0 and -2.4643? 0 Multiply 3.467 and 5. 17.335 10 * 2341 23410 -1856 times -0.4 742.4 -634 * 121 -76714 What is the product of -3 and 10.0037? -30.0111 -19 * -5202 98838 Work out -2.5 * -40411. 101027.5 Work out -0.73 * 56. -40.88 Product of 2 and -0.021597. -0.043194 Multiply -4.05 and 7.94. -32.157 2.3 times 44.9 103.27 Multiply -8 and 42663. -341304 957.69 times -0.11 -105.3459 What is the product of -0.12123 and 8? -0.96984 What is -0.43 times 577? -248.11 What is the product of 0.29 and 4248? 1231.92 What is 14999 times -0.1? -1499.9 What is the product of -283 and -8.4? 2377.2 What is 0.3 times 0.20066? 0.060198 Product of -108513 and 0. 0 Calculate 0.07*738. 51.66 Work out 0.2 * -175729. -35145.8 -0.7831*0.2 -0.15662 -0.6007 * 106 -63.6742 Multiply -29 and -5144. 149176 98 times 835 81830 What is the product of 1 and -84604? -84604 26.56 * -4.6 -122.176 Work out 1156290 * -0.5. -578145 What is 1.05 times -249? -261.45 Calculate -0.1*422802. -42280.2 Multiply 10.9 and -0.05124. -0.558516 Work out -1 * -102430. 102430 Multiply -2501 and 1. -2501 5 * 579692 2898460 Multiply 0.1 and 1115.97. 111.597 What is the product of -249 and -7.042? 1753.458 Work out 0.453 * 35. 15.855 What is 7 times 0.57564? 4.02948 -184 times -7.93 1459.12 4 * -28.15 -112.6 Work out 9.4345 * -3. -28.3035 Product of -0.7 and 199296. -139507.2 -253 * 25 -6325 528*-0.119 -62.832 1*716081 716081 What is the product of -0.3 and -403.84? 121.152 Multiply 4 and 0.23274. 0.93096 Work out 40 * -1929. -77160 0.2 * -206946 -41389.2 -0.3 times 14965.3 -4489.59 What is the product of -221.72 and -6? 1330.32 Work out -0.0214 * 0.222. -0.0047508 What is -18 times 15331? -275958 24 * -1.1316 -27.1584 0.27 times -1500 -405 -0.093 * -0.10279 0.00955947 Multiply 646 and 1.46. 943.16 Product of 35611 and 11. 391721 -8 times 100.8 -806.4 28041*-1 -28041 -12.4644 * -1 12.4644 Work out -1 * 1089.04. -1089.04 Work out 6 * -334306. -2005836 Multiply -846.3 and 7. -5924.1 Product of 118 and 28112. 3317216 What is 626548 times 0.3? 187964.4 -169*-503 85007 Product of -20705 and -6. 124230 What is the product of 36.033 and -2? -72.066 What is -2.9904 times -1.42? 4.246368 Calculate -3.04*-1. 3.04 Calculate 70.75*0.65. 45.9875 What is the product of 2 and -435? -870 Product of 0.006 and 2139. 12.834 What is the product of -243 and 37? -8991 What is -163.188 times -2? 326.376 What is the product of -0.0725397 and 4? -0.2901588 -4 times -0.018143 0.072572 Product of -0.1 and 1.539. -0.1539 -1.8165 * 47 -85.3755 What is the product of 11506.5 and 0.5? 5753.25 What is the product of -1367 and 505? -690335 -106.38*-0.06 6.3828 Product of -22.8 and 0.198. -4.5144 2866860*0.1 286686 Multiply 13206 and 7. 92442 Work out 7.4 * 703. 5202.2 What is the product of 0.0388291 and -0.5? -0.01941455 Multiply 0.2637 and -1933. -509.7321 Calculate -6002.5*1.4. -8403.5 What is the product of 0.0178 and -105? -1.869 -3 * -0.67458 2.02374 What is the product of 4616 and -0.14? -646.24 4 times -558736 -2234944 Product of 2196132 and -4. -8784528 Work out -133 * -0.54. 71.82 What is the product of -3 and 180779? -542337 Work out -0.11 * -188.6. 20.746 -63*-9 567 Multiply -51.8 and 0.479. -24.8122 Multiply -0.3 and -0.5447. 0.16341 What is -0.2 times -0.063229? 0.0126458 7 * -372 -2604 4 * -569.75 -2279 -3972776 * 0.2 -794555.2 -2.96 * 17 -50.32 Multiply -15 and -1.54. 23.1 24 * -911.6 -21878.4 Product of 0.17354 and 0.5. 0.08677 Work out 7434644 * -0.5. -3717322 Work out 4 * -579.72. -2318.88 -0.89 times 7.24 -6.4436 Work out -4513.62 * -1. 4513.62 Multiply -807 and 1.031. -832.017 27*1981 53487 Calculate -0.2861*1.46. -0.417706 0.4 times 603.95 241.58 Work out 0.08671 * 0.2. 0.017342 -16 times 14064 -225024 What is 140 times -623? -87220 -42 * -10.16 426.72 -0.189*116 -21.924 Calculate 51.4*-0.7942. -40.82188 Multiply 490 and 0.04. 19.6 -0.27 * -0.828 0.22356 -4 times -0.04314 0.17256 0.2 * -16.801 -3.3602 What is 2 times 108377? 216754 Calculate -1062.87*0.04. -42.5148 Calculate -0.4*-88053. 35221.2 -0.560512*-0.1 0.0560512 5.3*0.3898 2.06594 Multiply 9.02654 and 0. 0 -3 * -9290 27870 Work out 1845.3 * 0.04. 73.812 86047*-65 -5593055 Product of 2.7063 and -5. -13.5315 4 * -8.3563 -33.4252 Multiply -0.29 and 0.06644. -0.0192676 What is 58.161 times -17? -988.737 Work out -0.3 * -0.0475. 0.01425 -291.96 * -0.77 224.8092 What is the product of 15 and -4956? -74340 What is 44985 times -3? -134955 0.08694 * -46 -3.99924 Multiply 0.05 and 0.033397. 0.00166985 What is the product of -17.84 and -1.42? 25.3328
Suppose l = -2*m + 18, -4*m + 1 = 4*l - 59. Suppose p - 4*p = -l. Solve -v - v = p for v. -2 Let d be 3 - ((-2)/(-2))/(-1). Let o be -16*(1/(-4) + -1). Suppose -3*i + 2*i + o = 0. Solve -d*a = a - i for a. 4 Suppose 15 = -2*m - 0*x - 5*x, -6 = 2*x. Solve i = -m*i for i. 0 Suppose 2*v - b + 9 = -8, 15 = -2*v + 3*b. Let u(j) = 2*j + 12. Let g be u(v). Let n = g - -10. Solve -n*h - 10 = -30 for h. 5 Let i(o) = -o**3 + 3*o**2 + 6*o - 3. Let j(z) = -2*z - 4. Let h be j(-4). Let s be i(h). Solve 3 = -2*c - s for c. -4 Let d(y) = -y**3 - 20*y**2 - 20*y - 14. Let c be d(-19). Solve c*a - a - 4 = 0 for a. 1 Let i = 17 - 37. Let v = i - -28. Solve v*b - 4*b = 0 for b. 0 Suppose 0 = -7*v + 2*v. Suppose -2*b + 7 = 3*u - v*u, 4*u = 2*b. Solve 0 = -a - u + 5 for a. 4 Let t(q) = q - 1. Let n be t(-5). Let u be (-3)/n*-2*-5. Let x = -29 + 30. Solve -g = -u + x for g. 4 Let c = -6 - -8. Suppose 6*n = n - 10. Let x = n + 3. Solve -b = -c*b - x for b. -1 Let j(g) = 2*g - 12. Let x be j(10). Solve -3*o - x - 7 = 0 for o. -5 Let d(x) be the third derivative of -5*x**4/24 - x**3/2 - 3*x**2. Let b be d(-2). Suppose 5*j + 24 = b*j. Solve 0*u - 3*u - j = 0 for u. -4 Let f be 36/10 - 2/(-5). Let x(w) = 4*w**2 - 29*w + 13. Let t(a) = a**2 - 7*a + 3. Let r(v) = -9*t(v) + 2*x(v). Let y be r(f). Solve -y*g - 20 = -7*g for g. 5 Let k(y) = -4*y + 2. Let m be k(-6). Suppose -w + g + 4 = -2, -5*w = -3*g - m. Suppose -85 = -5*n - 5*r - 10, 33 = w*n - 5*r. Solve 0 = -p + 5*p + n for p. -3 Suppose 3*n = 2*u + 16, 4*n + 0*u = 3*u + 23. Solve -n*r + 2 = 12 for r. -5 Suppose -4*v + v + 9 = 0. Let m = 2 - -6. Suppose -8 = 4*n - m*n. Solve 0 = v*t - 2*t - n for t. 2 Suppose 0*u = -3*u + 9. Suppose h + o = 4*o + 19, 6 = u*o. Solve 4*c = -c + h for c. 5 Let v = 100 - 96. Solve v*z = -2 + 18 for z. 4 Let a(s) = s**2 + 2*s + 2. Let c be a(-2). Suppose 0 = -4*v + 4*r + 16, 2*v - c*r - 16 = 2*r. Solve -3*q + v = 9 for q. -3 Suppose c - 6*c = 3*x + 4, 5*x = -4*c + 2. Solve -x*w + 2 = -0*w for w. 1 Suppose 2*m = -5*v + 15, -3*m + 3*v = 8*v - 20. Suppose 2*n = 2*i - 70, -4*n - 21 = m*i - 205. Solve -11 = -5*t - i for t. -5 Suppose -k = 1 - 2. Solve 2 + k = m for m. 3 Let r be -1 + 1 - 0 - -1. Suppose 0 = 22*t - 20*t - 2. Let s be t + (-2 + 4 - r). Solve d - s = -5 for d. -3 Let z = 6 + -4. Solve 3*c + 15 = -z*c for c. -3 Suppose 4*r = -0*r + 120. Suppose 5*l = -n + 41, -4*l + 3*n + r = -18. Solve -l = -4*i + 7 for i. 4 Suppose 15 = -2*b - b. Let v be 18/3*2/(-4). Let p = v - b. Solve -1 = -o - p for o. -1 Suppose -18 = 7*z - 16*z. Let d(j) = 2*j**2 + j - 2. Let m be d(-2). Let f be 16/12 + 2/3. Solve -z*y - m = -f for y. -1 Suppose -2*d - 5*b - 5 = 0, 4*d + 8*b + 5 = 3*b. Solve d = j - 2*j - 2 for j. -2 Suppose 3*y - 6 + 0 = -3*r, y - 2 = 4*r. Solve r = -3*z + 2 + 1 for z. 1 Let l = -6 - -10. Solve -k - l*k = 15 for k. -3 Let y be 8/44 + (-192)/(-33). Let f(a) = -a**3 + 4*a**2 - 3*a + 4. Let v be f(3). Solve -v*g + y = -10 for g. 4 Suppose 3*o - 24 = -5*r, o + 8 = 3*r + 2. Solve -y - r = -0 for y. -3 Suppose 0 = 2*y - 3*y + 12. Suppose 3*i = -0*i + y. Solve x - i = -0 for x. 4 Let z(j) = -2*j - 6. Let n be z(-5). Suppose 2*q + 4*k = -0*q + 6, -n*q = -4*k. Solve q = 2*b - b for b. 1 Let r(z) = -z - 4. Suppose 3*i + 8 = -10. Let u be r(i). Let x be (-8)/1*u/(-4). Solve x*m + 1 = 3*m for m. -1 Suppose 12 = 4*w - 4*k - 0*k, 0 = 2*w + 4*k - 18. Solve -w*p = -4 - 11 for p. 3 Suppose -13 = -4*u - 5. Suppose -r = u*x - 7*x + 7, r + 5 = 4*x. Solve 0 = x*v - v - 2 for v. 2 Let h be ((-2)/4)/(17/(-136)). Solve -11 - 5 = -h*l for l. 4 Let z(u) = -2*u**3 + 3*u**3 + 3*u**2 - 2*u + 3 - 2*u**3. Let w be z(2). Solve -w*f + 0*f = 0 for f. 0 Let d = -5 + 7. Let v = 3 + d. Solve -v*f = -f - 20 for f. 5 Suppose -3*w = -2*w - 2*f - 16, -4*w + f = -36. Solve -5*m = -7 - w for m. 3 Suppose -2*a = 4*u - 10, 5*u + 3*a - a = 13. Suppose 0*i = u*i - 15. Solve -i*t = 2 + 18 for t. -4 Let d = 71 + -71. Solve 20 + d = -5*m for m. -4 Let u = -20 + 30. Suppose 0*n = 5*n - u. Solve 5 = n*i - 1 for i. 3 Let y(r) = -r**3 + 5*r**2 - 3*r - 4. Let a be y(4). Solve a = m - 6*m + 10 for m. 2 Let w(q) = 1 - 3*q + 4*q - q**3 + 3*q**2 + q**2. Let r be w(4). Solve 0 = r*c + 8 - 3 for c. -1 Let c = 20 + -20. Let w = -4 + 7. Solve w*i = -c*i for i. 0 Let v(f) = -f**2 + 6*f + 6. Let g be v(7). Let p = 1 - g. Solve i - 2 = p for i. 4 Suppose 4*i = 5*f - 20, -2*i - 12 = -i - 3*f. Solve i*j - j = -2 for j. 2 Suppose 5*n + 11 - 41 = 0. Let f be ((-4)/3)/((-2)/3). Suppose d - 3 + 1 = 0. Solve -f = d*o + n for o. -4 Let b(i) = 2*i - i**3 + 4*i**2 + 2 + 0*i**3 - 6. Let y be b(4). Solve -5*k - y = 6 for k. -2 Suppose -p + 2 = -g, p = -4*g + 17 - 0. Let c(b) = b**3 - 2*b**2 - 3*b + 4. Let s be c(g). Solve s*m = -m for m. 0 Let h = 4 - -2. Solve f = -h + 5 for f. -1 Let t = 12 + -7. Suppose -u + t = j, -2*j = j - 5*u - 47. Let h be (-1)/(((-12)/j)/4). Solve h*f + 20 = 7*f for f. 5 Suppose -n = -3*r + 6, 12 = -r + 2*r + 3*n. Solve y + r*y = 20 for y. 5 Let v be (-2)/6 + (-3)/(-9). Solve v*c = c + 2 for c. -2 Suppose 0*n - r = -2*n + 12, 0 = 3*n - 2*r - 16. Solve -2 - n = -2*t for t. 5 Let o(l) = 2*l + 20. Let h be o(-9). Solve -h*c + 0*c = 0 for c. 0 Suppose 0*j + 9 = 3*j. Let c(g) = -g**2 - g + 2. Let w be c(0). Solve -w + 5 = -j*f for f. -1 Let k(n) = -n**3 + 2*n**2 + 3*n + 3. Let h be k(3). Suppose -2*t + 5 = h. Suppose -g - t = 3*u - 6, -u + 23 = -5*g. Solve -12 = -u*s - s for s. 3 Suppose 0 = 5*u - 30 + 10. Let l(y) = -y**3 - 20*y**2 - 20*y - 16. Let a be l(-19). Suppose 0 = -i + 3*o + 1, 0*o = 3*i + a*o - 3. Solve -i = -u*q - 21 for q. -5 Let s(m) = -3*m**2 + 1 + m**3 + 0 + 3 + 0. Let x be s(3). Suppose 1 - 7 = -3*v. Solve 2*d = -v + x for d. 1 Let h = 0 - -3. Let r(q) be the second derivative of q**3/6 - 3*q**2/2 - 2*q. Let s be r(h). Solve -c + s*c + 1 = 0 for c. 1 Suppose -3*i + 0 = -6. Let p(g) = g**3 + g**2 - 3*g + 1. Let c be p(1). Solve c*k = -i*k for k. 0 Let t be -2 - ((-4)/(-3) + (-208)/48). Solve k - t = -4 for k. -3 Suppose 4*s = -3 - 5. Let o = -2 - s. Let l be (2 + -1)/((-1)/(-3)). Solve o - 3 = -l*q for q. 1 Let g(y) = -y**3 + 5*y**2 + 8*y - 6. Let h be g(6). Suppose -4*z - 6 = -h*z. Let a = -10 - -14. Solve -17 - z = -a*w for w. 5 Let p(i) = -2*i**2 + 16*i - 5. Let m be p(7). Solve -6 - m = 5*w for w. -3 Suppose l = 4*l - 9. Suppose 0 = -h + l - 1. Solve u + 9 = -h*u for u. -3 Suppose 24 = 5*n + v, 0*v - 4 = 3*n - 4*v. Solve 9*g = n*g + 10 for g. 2 Let q(l) = l**2 + 5*l - 10. Let a be q(-7). Suppose a*z = n + 3, 5*z - 10 = -3*n - 2. Solve -4*h = -19 - n for h. 5 Let t = -23 + 26. Solve 3*n + 0 = -t for n. -1 Suppose 0 = 5*v - 0*v. Let t be (v + 2/2)*3. Solve t*n = -0*n + 15 for n. 5 Suppose 5*g - 10 = -2*w, w + 3*g - 5 = -0*g. Solve -l + w = 2 for l. 3 Let u be (0 - -2) + -3 + 3. Suppose u*r = 4*d - 8, -3*d = -8*d + 3*r + 10. Solve 0 = h + 1 - d for h. 1 Let p(s) be the third derivative of 0*s - 4*s**2 + 0 + 1/60*s**5 - 7/6*s**3 - 7/24*s**4. Let y be p(8). Solve -4*c - y = 3 for c. -1 Let b be (1 - 1)*1/(-2). Let d be 2 - -1*(2 - 3). Let a = d - b. Solve 0 = -j - 6 + a for j. -5 Let z = -2 - -8. Solve 2 = 2*r - z for r. 4 Suppose g = 1 + 1. Let b(w) = -10*w**2 + 11*w**2 + 8 + 2*w - w. Let m be b(0). Solve -m + 0 = -g*v for v. 4 Suppose 4*h - 2*l = h + 4, -2*h = -4*l - 8. Suppose 3*x + 21 = 3*i, 2*x - 4 = -2*x. Let v = -5 + i. Solve t - v - 2 = h for t. 5 Suppose -m - 2*m = 12. Let d = m + 6. Suppose d*u = u + 1. Solve -1 - u = -2*s for s. 1 Let o be (-273)/(-49) + 4/(-7). Solve -o = 5*s - 0 for s. -1 Suppose f + 11 = -3*q + 2*f, -3*q - 5*f = 17. Let y = q - -6. Suppose -2*w = y*w + 3*p - 52, -2*p = 8. Solve -w = 2*c + 2*c for c. -4 Let h = 80 - 78. Solve 5 = h*p + 3 for p. 1 Suppose 4*b - 56 = -0*b. Solve b = -5*i - 1 for i. -3 Let j be (5*3)/((-9)/(-6)). Solve -5*h = -0 + j for h. -2 Let u be (-2)/(-6) + 96/36. Solve -7 - 2 = u*v for v. -3 Let v(f) = f**2 + 9*f. Let g be v(-9). Solve g = 4*o - o + 3 for o. -1 Let i(y) = y**3 + 3*y**2 + 2*y. Let t be i(-2). Solve t = -c - 2*c for c. 0 Suppose 5*x - 4*x = -12. Let u = x - -17. Suppose 0*a = -u*a. Solve a*z = -z for z. 0 Let g = 20 + -20. Solve g = 5*c - c for c. 0 Let l = -2 - -4. Suppose 0 = 5*z + l - 17. Let x(m) = -5*m**3 + m**2 - m - 2. Let p be x(-1). Solve k + p = z for k. -2 Let s(x) = x**3 - 15*x**2 + 24*x + 28. Let y be s(13). Solve 3*u - y = 13 for u. 5 Suppose 40 = 3*c + k, k + 3*k = 16. Let s = -2 - -6. Solve x = s*x - c for x. 4 Let n = 11 + -8. Suppose n*i - 11 + 5 = 0. Solve 0 = i*c - c - 3 for c. 3
Expand (-67*g - 21 + 279*g - 114*g)*(-2*g**4 - 2*g**4 + 3*g**4). -98*g**5 + 21*g**4 Expand (-3 - 2 + 3)*(-4*o + 0*o + 2*o) - o + 3*o - o + (0 - 2 + 0)*(15 - 53 + 23)*(o - o - o). -25*o Expand (q**4 + 5*q**4 - 3*q**4)*(198 + 168 - 49)*(0*q + 2*q - 5*q). -2853*q**5 Expand (0*w**2 - 2*w**2 + 3*w**2)*(-4 + 3 + 3) - 2*w**2 + 3*w**2 + 0*w**2 + (0 + 0 + 2*w)*(2 - 3 + 2)*(-34 + 34 - 48*w) - 5*w**2 + w**2 + 2*w**2. -95*w**2 Expand (-3*l + l + 5*l)*(2*l**3 - 2*l**3 + 2*l**3) + 13*l**4 + 84682 + 24*l**2 - 84682. 19*l**4 + 24*l**2 Expand (-2*a + 2*a**3 + 2*a)*(-628 + 539*a - 533*a + 680)*(-3 + 3 + 2*a). 24*a**5 + 208*a**4 Expand (-695*i + 46*i**2 + 695*i)*(0 - 11 + 1)*(-6 + 4 - 2). 1840*i**2 Expand (0*u - 4*u - 2*u)*(-138 + u**2 + 64 - 119*u + 69). -6*u**3 + 714*u**2 + 30*u Expand (0*n - n - n)*(-1 + 12 + 1) - 160*n - 36*n - 135*n. -355*n Expand (27*w - 35*w + 26*w)*((-8*w + 5*w - 14*w)*(2 - 2*w - 2) + 4*w**2 + 0*w**2 + w**2). 702*w**3 Expand (-9 + 9 + 25*a**2)*(-8*a - a - 18*a). -675*a**3 Expand (0*z + 2*z - 2*z + 103*z**2 - 33*z**2)*(2*z - 7*z - 16*z). -1470*z**3 Expand (8*o**3 - 8 + 8 + (-7*o**3 - 100 + 100)*(3 - 3 + 4))*(0*o**2 + o**2 - 3*o**2). 40*o**5 Expand (88130 - 2987*h**2 - 88130)*(3*h + 2*h - 4*h). -2987*h**3 Expand (128*f - 128*f - 18*f**2)*(f**2 - 7*f**3 + 2 + 109*f**3 + 0*f**2). -1836*f**5 - 18*f**4 - 36*f**2 Expand (-18 + m**2 + 18)*(-4 + 0 + 2) + 4*m**2 - 4*m**2 + 4*m**2 + (-3*m + 0*m + 4*m)*(-4*m - m + 6*m) + m**2 + 3*m**2 - m**2. 6*m**2 Expand (-377*v**3 - 1742*v**2 + 1742*v**2)*(7*v - 6*v + 5*v) + 0 + 0 + 2*v**4. -2260*v**4 Expand (-248 + 436*j + 248 + 657*j)*(-3*j**3 + 0*j + 0*j**3 - j). -3279*j**4 - 1093*j**2 Expand (-27 + 14 + 15 - 500*y**2)*(-1 + 1 + y)*(-2*y - y**2 + 2*y). 500*y**5 - 2*y**3 Expand -6*u**4 + 7*u**4 + 8*u**4 + (-u + 3*u + u + (-3 + 5 - 5)*(5 - 5 - 2*u) - 3*u + 5*u + 5*u)*(2*u**3 + u**3 - 4*u**3). -7*u**4 Expand (3*o + 3 - 3)*(1 - o - 1) + 24*o**2 - 100*o**2 - 14*o**2. -93*o**2 Expand (-16*v + 70*v - 29*v)*(-2 + 3 + 4) + (4 - 17 + 8)*(v - 1 + 1). 120*v Expand (-3*c**3 + 6*c**3 - 4*c**3)*(-1474*c + 916*c + 888*c) - 8*c**2 + 8*c**2 + 7*c**4. -323*c**4 Expand (3 - 4 + 4 - 7*y)*(12 - 12 + 13*y**3 - 58*y**3). 315*y**4 - 135*y**3 Expand -79*r**5 - 99*r**5 - 294*r**5 + (0*r**2 + 2*r**2 - 3*r**2)*(1 - r**3 - 1). -471*r**5 Expand (r**3 - 2*r**3 + 3*r**3)*(r - 118 + 280 - 56). 2*r**4 + 212*r**3 Expand (t - t + t)*(3 - 7 + 0)*(-3*t + 153 - 258 + 149). 12*t**2 - 176*t Expand -2*j**4 - 4*j**3 + 5*j**3 + 5*j + 2 + 4*j**4 + (-78 + 48 - 93)*(2*j**3 - 2*j**3 - j**4). 125*j**4 + j**3 + 5*j + 2 Expand (-2*z - 2*z + z)*(3*z - 5*z + 3*z) - 2278 + 5*z + 24*z**2 + 2278. 21*z**2 + 5*z Expand (9*y**2 - 467*y**3 + 3*y**2 + 275*y**3 + 191*y**3)*(2 - 2 - 2*y). 2*y**4 - 24*y**3 Expand -4*x + 4*x + x**2 + (-x - 4 + 4)*(2*x - 3 + 3) + 5329*x**2 - 3211*x**2 - 5053*x**2. -2936*x**2 Expand (3*i - 3*i - i**4)*(-892*i - 891*i + 3 + 1781*i) + 4*i**3 + 2*i**5 - 4*i**3 + (-i + i + 2*i**2)*(4*i**3 - 6*i**3 + 3*i**3). 6*i**5 - 3*i**4 Expand (1618 - 14*o - 810 - 809)*(3*o - 2*o + o + (-1 + 10 + 1)*(0 - o + 0)). 112*o**2 + 8*o Expand (8297 + 204*k - 8297)*(-10*k + 9*k + 14*k). 2652*k**2 Expand (-21*z**2 - 38*z**2 + 7*z**2)*(8 - 81*z - 104*z + 166*z). 988*z**3 - 416*z**2 Expand -50*a + 50*a + 8*a**3 + (1 - 4 + 5)*((-a**2 + 0*a**2 + 0*a**2)*(-a + a - a) + 4*a**2 + a**3 - 4*a**2 + (18*a - 14*a + 24*a)*(2*a**2 + a**2 + 2*a**2)). 292*a**3 Expand (-24 - 556 + 1101)*(-1 - 3 + 6)*(-2 + 2*b**3 + 2). 2084*b**3 Expand 173*t**3 - 324*t**3 - 663*t**3 + (-2 + 2*t**2 + 4 + 0*t**2)*(9 - 9 + 4*t). -806*t**3 + 8*t Expand (0*d - d - 2*d)*(131 - 18 - 9) + (94 + 15*d - 94)*(0 + 6 - 4). -282*d Expand (z**3 - 3*z**3 + 0*z**3)*(-86 - 40 + 162 - 159 + 13*z). -26*z**4 + 246*z**3 Expand (1 + 4 - 7)*(-62*z - 3 - 30 - 1 + 64*z). -4*z + 68 Expand (5*s**5 - 5*s**5 - 10*s**5)*(2 + 1 + 9) - 51*s**3 + 51*s**3 - 13*s**5. -133*s**5 Expand (0*j**3 - 3*j**3 + j**3)*(0*j - 2*j + 0*j)*(454 + 359 + 159) - 4 + 2*j**4 + 4 + (3*j**4 - 2*j**4 + 2*j**4)*(4 - 3 - 2). 3887*j**4 Expand (2 + 0 - 4)*(-92*p**3 + 24*p**3 - 84*p**3) + 11*p**3 - 6*p**3 - 6*p**3. 303*p**3 Expand (9 + 7 - 1)*(-11 + 73 + 16)*(5*c + 3 - 3). 5850*c Expand (-y**2 + 6*y**2 - y**2)*(3 - 2 + y - 2*y + (-5 + 2 - 2)*((-2*y + 2*y - y)*(-3 + 2 + 0) + 1 + y - 1)) - 6 + 9*y**3 + 6. -35*y**3 + 4*y**2 Expand -3*l**2 - 4 + 3*l**2 + l**4 + (4*l + 3*l - 3*l)*(-l**3 - l**3 + 4*l**3) - 32*l**4 - 49*l**3 + 49*l**3. -23*l**4 - 4 Expand (-4*p**3 + 2*p**3 + 0*p**3 + (p**3 + 3*p**3 - 2*p**3)*(-2 - 1 - 1) + p**3 - p**3 + p**3)*(-1 + 5 + 0)*(-2*p + 0*p + 0*p). 72*p**4 Expand (0 - 4 + 6)*(-b - 4*b + 6*b) - 2 - 7*b + 2 - 469*b + 1097*b + 609*b. 1232*b Expand (6*g**2 - 6*g**2 - 6*g**2)*(g**3 + 6*g**3 - 2*g**3) - 7*g**5 + 2*g**5 + 2*g**5. -33*g**5 Expand (30*f**3 - 28*f**3 + 504*f**4 - 133*f**4)*((1 - 5 + 2)*(2*f - 7*f + 3*f) + f + 2 - 2 - f + 6*f - 4*f). 2226*f**5 + 12*f**4 Expand (-h**2 + 5*h**2 - 2*h**2)*(16*h**2 + 17*h**2 - 79*h**2) + ((-2*h + 2 - 2)*(0*h**2 - 2*h**2 - h**2) + 2*h - 2*h - h**3)*(-8 + 2 - 5 - h). -97*h**4 - 55*h**3 Expand (-1607*x + 4438*x - 1145*x)*(3*x + 0*x**2 + 3*x**2 - 4*x). 5058*x**3 - 1686*x**2 Expand (20199*j + 19693*j - 38563*j)*((-2 + 0 + 0)*(-4*j + 3*j + 2*j) + 3*j + 0*j - 2*j). -1329*j**2 Expand ((w - 6*w + 3*w)*(-3 + 3 - 2) + 17*w + 15*w - 11*w)*(-427 + 427 + 22*w). 550*w**2 Expand (4*d - 19*d - 3*d)*(-3*d - d - 3*d)*(-2*d - d + 2*d). -126*d**3 Expand 22*q**2 - 40*q**2 + 2*q**3 + 20*q**2 + 28*q**5 + 4*q + 2*q**5 - 4*q + (0*q - 3*q + 2*q)*(10*q**4 + 13*q - 13*q). 20*q**5 + 2*q**3 + 2*q**2 Expand (-50 + 148 + 111)*(2 + 1 - 1)*(-14*k + 10*k + 32*k). 11704*k Expand (4 - 4 - 2*p)*(-20 + 20 - 25*p)*(-12*p**2 - 12*p**2 - p**2). -1250*p**4 Expand (4 - 1 - 5)*(-5 + 2 + 1)*(3727*z - 6734*z + 3490*z). 1932*z Expand (-849*i - 839*i + 1693*i + 25)*(-2 - 2 + 5). 5*i + 25 Expand (1 + 1 - 1)*(4*o**2 - 2*o**2 - 3*o**2) + 145613*o**2 - 152168*o**2 - 22 + 22. -6556*o**2 Expand (-8 - 3 + 3)*((3*v - v + 0*v)*(1 + 1 - 4) - 5*v + 4*v + 2*v). 24*v Expand (-264 - 33*j + 264)*(j**2 + 3*j**2 + 0*j**2) + (2*j - 2*j + 2*j**2 - 3*j**2 - 2*j**2 - j**2 + (0*j - j + 3*j)*(2*j + 3*j - 6*j))*(0*j - 2*j + j). -126*j**3 Expand -9*y - 253 + 257 - 434 + (-2*y + 1 - 1)*(4 + 2 - 4) + 2*y + 0*y + y. -10*y - 430 Expand (-2*u**2 - u + u)*(-45977*u**3 - 42782*u**3 + 64229*u**3). 49060*u**5 Expand (6*q**4 - 3*q**4 - 2*q**4)*(-151*q + 962*q + 291*q + 611*q)*(0 - 4 + 0). -6852*q**5 Expand (o + 3*o - o)*(-20 - 47 - 91 - 10 - 16). -552*o Expand (-4501 - 1083 + 1204)*(i**2 + 3*i**2 - 5*i**2). 4380*i**2 Expand -3*f**5 + 3*f**5 + 2*f**5 + (1 + 8 + 2)*(-5*f**5 - 6*f**5 + 30*f**5) + (-1 + f + 1)*(6*f**4 + 0*f**4 - 5*f**4). 212*f**5 Expand (3*w**2 + 4*w**2 - 5*w**2)*(-2*w + 3*w + 0*w) + (0*w + 0*w + w)*(-23*w**2 + 0*w**2 - 19*w**2). -40*w**3 Expand (2*v - 1 + 1)*(-165372*v + 44*v**4 - 6*v**4 + 165433*v) + (3*v**2 + 2*v**5 - 3*v**2)*(2 + 1 - 1). 80*v**5 + 122*v**2 Expand -20*o + 224*o - 588*o + (-2 + 2 - 1)*(-4 + 7 - 4)*(-4*o + 3*o - 2*o) + (-4 + 3 + 2)*(-o + 2*o - 2*o) - o + o + 3*o + 2*o + 2*o - 2*o. -383*o Expand 3*h**2 + 0 + 0 + (11*h + 37 - 37)*(-45*h - 114*h + 47*h). -1229*h**2 Expand (-17 + 17 - 41*u**2)*(1 - 7 - 4). 410*u**2 Expand (5 - 2 - 1)*(2 - 2 - 2*r) - 66 + 66 + 32*r + (-2*r - 3*r + 6*r)*(-4 + 3 + 0) + (5 - 3 + 0)*(-9 + 9 - r) - r + 0 + 0. 24*r Expand ((-1 + 3 - 1)*(-4*x + 0*x + 3*x) - x - 2*x + x)*((-3*x + 0 + 0)*(29 + 6 + 44) - 11*x - 36*x + 5*x). 837*x**2 Expand 3*a**4 + 21*a**5 - 57 - a**4 + 60 + (-404 + 404 + 32*a**2)*(-a**3 + a**3 - a**3). -11*a**5 + 2*a**4 + 3 Expand (2778 - 5180 + 2650)*(-4*d**4 - d**4 + 4*d**4). -248*d**4 Expand 0 + 2 - 10*v + 14*v + (376 + 100*v - 376)*(0 - 1 + 3). 204*v + 2 Expand (2*w + 4*w - 7*w)*(-3*w**2 + 3*w**2 - 2*w**4) - 42*w**5 + 537*w**3 - 537*w**3. -40*w**5 Expand b**5 + 3*b**5 - 2*b**5 + (2*b**3 + 4*b**3 - 4*b**3)*(-2*b + 2*b + 2*b**2) + (-346*b + 346*b + 18*b**2)*(b**3 + 2 - 2) - 15*b**4 + 2073*b + b**5 - 2073*b. 25*b**5 - 15*b**4 Expand (4 - 1 - 1)*(0 + 0 + m**2)*(12167*m**2 - 52*m + 52*m + m**2 + 8156*m**2). 40648*m**4 Expand (-1 - 1 + 1)*(-122*q + 3212 + 439*q - 311*q). -6*q - 3212 Expand (-5*o**4 + 20*o**4 - 10*o**4)*(0 + 0 + 2)*(18*o - 3*o + 3*o) + 0*o**5 - 2*o**5 + 3*o**5 - 3*o**5 + 2*o**5 - 3*o**5. 177*o**5 Expand ((-1 + 1 + 2*r)*(5*r - 2*r - 2*r) + 0*r**2 + r**2 + 0*r**2 + 4*r**2 + 4*r**2 - 3*r**2)*(-r + r + 4*r**2 + (r + 0*r + r)*(-3*r + 2*r + 0*r)). 16*r**4 Expand (-3*z + 2*z + 3*z)*(-33 + 18 - 98)*(-16 + 7 - 6). 3390*z
Three letters picked without replacement from wwoob. Give prob of picking 1 b and 2 w. 1/10 Two letters picked without replacement from zpzzx. What is prob of picking 1 x and 1 z? 3/10 What is prob of picking 1 a and 3 j when four letters picked without replacement from {j: 5, a: 5, x: 2}? 10/99 Three letters picked without replacement from lllllllllbbllllbll. Give prob of picking 1 b and 2 l. 105/272 Calculate prob of picking 1 u and 3 e when four letters picked without replacement from {u: 10, a: 1, e: 8}. 140/969 Four letters picked without replacement from {p: 2, m: 4, u: 7, j: 4, c: 1}. Give prob of picking 1 c, 1 m, 1 j, and 1 p. 8/765 What is prob of picking 1 j and 1 v when two letters picked without replacement from lzvvvljjtvlvllvt? 1/10 Calculate prob of picking 2 y when two letters picked without replacement from bqbyyybbbbbbbbbbb. 3/136 Three letters picked without replacement from hstatttaatast. Give prob of picking 2 s and 1 t. 3/143 Calculate prob of picking 1 x and 1 s when two letters picked without replacement from {x: 1, f: 1, j: 2, s: 10}. 10/91 Calculate prob of picking 2 u when two letters picked without replacement from ggggwuugijiui. 1/26 Two letters picked without replacement from {d: 1, p: 1, c: 5, b: 1, j: 10, h: 1}. What is prob of picking 1 p and 1 h? 1/171 Two letters picked without replacement from {w: 1, j: 8, k: 1, p: 3, e: 2, s: 2}. What is prob of picking 1 e and 1 p? 3/68 Three letters picked without replacement from ubuuuubuumbemuuubmu. Give prob of picking 1 m, 1 b, and 1 u. 44/323 Calculate prob of picking 2 b when two letters picked without replacement from wwbwwwwbwwwww. 1/78 Calculate prob of picking 1 r and 2 f when three letters picked without replacement from {f: 2, r: 2, x: 9, n: 5}. 1/408 What is prob of picking 2 e when two letters picked without replacement from ette? 1/6 Calculate prob of picking 2 g and 2 n when four letters picked without replacement from {g: 5, n: 5, f: 2}. 20/99 Calculate prob of picking 2 q when two letters picked without replacement from {l: 2, s: 1, t: 2, q: 8, e: 5}. 28/153 What is prob of picking 2 j when two letters picked without replacement from {s: 2, l: 5, f: 5, j: 7}? 7/57 Calculate prob of picking 1 h and 2 o when three letters picked without replacement from nnnnoononhnh. 3/110 What is prob of picking 1 m and 1 q when two letters picked without replacement from {j: 1, q: 3, a: 1, m: 6, e: 6, g: 1}? 2/17 Calculate prob of picking 2 m and 1 n when three letters picked without replacement from {q: 2, n: 3, m: 2, v: 2, o: 10}. 1/323 Calculate prob of picking 2 m, 1 w, and 1 a when four letters picked without replacement from ajawmm. 2/15 Calculate prob of picking 3 v when three letters picked without replacement from vbbvvqbqbqqvqq. 1/91 Four letters picked without replacement from wwwwpwwlwlwwwwwwlwww. Give prob of picking 1 w, 1 p, and 2 l. 16/1615 What is prob of picking 2 s when two letters picked without replacement from {s: 2, o: 1, g: 1, i: 2}? 1/15 What is prob of picking 2 n when two letters picked without replacement from {w: 1, l: 2, e: 8, n: 2}? 1/78 What is prob of picking 1 w, 1 r, and 1 l when three letters picked without replacement from {d: 4, w: 2, l: 4, r: 1, p: 9}? 2/285 What is prob of picking 2 s when two letters picked without replacement from ssssjsssjflllssstsss? 39/95 What is prob of picking 3 k and 1 r when four letters picked without replacement from ekerrrrri? 0 Three letters picked without replacement from dtsudsutsddd. What is prob of picking 1 t and 2 s? 3/110 Calculate prob of picking 1 r and 1 x when two letters picked without replacement from {x: 7, r: 7, a: 2}. 49/120 Two letters picked without replacement from {n: 3, z: 4, f: 5, v: 1, y: 1}. Give prob of picking 1 n and 1 f. 15/91 Three letters picked without replacement from {x: 3, z: 13}. Give prob of picking 3 x. 1/560 Three letters picked without replacement from {r: 3, w: 8, q: 6}. What is prob of picking 3 q? 1/34 Calculate prob of picking 3 k and 1 j when four letters picked without replacement from kkkkkkjjkjkkkk. 45/91 What is prob of picking 3 a when three letters picked without replacement from aeeeaeea? 1/56 Two letters picked without replacement from hhttttthhthlfhthhlh. What is prob of picking 1 h and 1 t? 7/19 Calculate prob of picking 1 s and 1 q when two letters picked without replacement from {q: 1, z: 1, s: 1, j: 1, y: 1}. 1/10 Calculate prob of picking 1 h and 1 b when two letters picked without replacement from {h: 1, b: 1, a: 1, r: 1, s: 1}. 1/10 What is prob of picking 1 p and 2 f when three letters picked without replacement from ffrffpfffpfpfp? 36/91 Calculate prob of picking 1 u and 1 r when two letters picked without replacement from {u: 1, r: 7}. 1/4 Calculate prob of picking 2 i and 2 f when four letters picked without replacement from {i: 3, f: 8, l: 6}. 3/85 Calculate prob of picking 1 b and 1 u when two letters picked without replacement from ubbpbbbappbbpbpppuuu. 16/95 Calculate prob of picking 1 d and 3 r when four letters picked without replacement from sdrdddddrrrddrdrd. 10/119 Two letters picked without replacement from dddssdsssddssdssddd. What is prob of picking 2 d? 5/19 Two letters picked without replacement from nnqnytaqajnanjn. What is prob of picking 1 a and 1 n? 6/35 Two letters picked without replacement from {s: 1, l: 2, c: 2}. Give prob of picking 1 s and 1 c. 1/5 Calculate prob of picking 1 j, 1 t, 1 p, and 1 i when four letters picked without replacement from tjpbjbjiiiiibjjjpj. 7/306 Two letters picked without replacement from sfsisshiijjfis. Give prob of picking 1 f and 1 i. 8/91 What is prob of picking 3 y and 1 e when four letters picked without replacement from {m: 2, e: 6, p: 3, y: 4}? 8/455 Two letters picked without replacement from {q: 9, j: 3, y: 4}. Give prob of picking 2 j. 1/40 What is prob of picking 2 w when two letters picked without replacement from {j: 2, w: 7, r: 3}? 7/22 Four letters picked without replacement from {e: 2, v: 4, p: 6}. What is prob of picking 2 e and 2 v? 2/165 Four letters picked without replacement from gpgpvvgggpvpvgg. Give prob of picking 4 g. 1/39 Two letters picked without replacement from {j: 4, q: 3, k: 1, a: 3, l: 2, c: 4}. Give prob of picking 1 l and 1 j. 1/17 Calculate prob of picking 1 z and 1 d when two letters picked without replacement from {w: 1, z: 1, b: 1, f: 1, d: 1, q: 2}. 1/21 What is prob of picking 1 v and 1 o when two letters picked without replacement from vvvoouq? 2/7 Two letters picked without replacement from kkku. Give prob of picking 2 k. 1/2 Calculate prob of picking 1 v and 1 d when two letters picked without replacement from {v: 2, d: 1, w: 1, r: 1, t: 2, q: 2}. 1/18 What is prob of picking 1 e and 1 m when two letters picked without replacement from jwwjtwwmewejwjme? 1/20 Calculate prob of picking 1 t and 1 n when two letters picked without replacement from wwtptnh. 2/21 Two letters picked without replacement from {s: 3, o: 4}. Give prob of picking 2 o. 2/7 What is prob of picking 2 a and 2 k when four letters picked without replacement from kkaakkakaa? 10/21 Two letters picked without replacement from zwzwptzptvpz. Give prob of picking 1 v and 1 w. 1/33 What is prob of picking 2 v when two letters picked without replacement from {r: 3, g: 2, v: 3}? 3/28 Calculate prob of picking 2 i and 1 y when three letters picked without replacement from {i: 4, y: 6, w: 10}. 3/95 Calculate prob of picking 2 w when two letters picked without replacement from lelllwwx. 1/28 What is prob of picking 1 k and 2 x when three letters picked without replacement from {x: 2, k: 3}? 3/10 What is prob of picking 1 s and 2 i when three letters picked without replacement from sissssssisississsi? 65/408 What is prob of picking 1 p and 1 b when two letters picked without replacement from rrrrturrpmb? 1/55 Two letters picked without replacement from {i: 1, f: 11}. What is prob of picking 1 f and 1 i? 1/6 Two letters picked without replacement from aaaataaaaataata. What is prob of picking 2 a? 22/35 What is prob of picking 3 v and 1 p when four letters picked without replacement from qpzdkqdpvqvppqv? 4/1365 Two letters picked without replacement from ebieiibb. What is prob of picking 1 i and 1 b? 9/28 What is prob of picking 1 m and 1 s when two letters picked without replacement from {r: 1, m: 1, s: 1}? 1/3 Calculate prob of picking 3 c when three letters picked without replacement from {w: 4, c: 3, i: 1}. 1/56
What is the highest common divisor of 343 and 9317? 7 Calculate the greatest common divisor of 24 and 23748. 12 Calculate the greatest common factor of 828 and 36639. 207 What is the highest common factor of 219 and 3291? 3 What is the highest common divisor of 56448 and 441? 441 What is the greatest common factor of 57360 and 1744? 16 Calculate the greatest common factor of 8016 and 384. 48 Calculate the highest common factor of 71 and 157. 1 What is the greatest common factor of 21049 and 868? 217 Calculate the greatest common divisor of 1902 and 66. 6 Calculate the highest common factor of 1887 and 9990. 111 Calculate the highest common divisor of 38392 and 24. 8 Calculate the highest common divisor of 3608 and 1496. 88 What is the highest common factor of 32736 and 1952? 32 What is the highest common factor of 98569 and 5317? 409 What is the greatest common factor of 132 and 737550? 66 Calculate the greatest common factor of 20 and 222730. 10 Calculate the highest common factor of 293631 and 312. 39 What is the highest common divisor of 12672 and 752? 16 Calculate the highest common divisor of 55660 and 3872. 484 What is the highest common divisor of 5389 and 34? 17 What is the highest common factor of 10 and 343328? 2 Calculate the greatest common factor of 20 and 48210. 10 Calculate the greatest common factor of 1174222 and 28. 14 Calculate the greatest common divisor of 419628 and 510. 102 Calculate the highest common factor of 4356 and 66308. 484 What is the highest common factor of 199206 and 24? 6 What is the highest common divisor of 14 and 219527? 7 What is the highest common divisor of 182 and 928382? 182 What is the greatest common divisor of 10951 and 564? 47 What is the highest common divisor of 45585 and 360? 45 What is the greatest common factor of 266 and 896686? 266 Calculate the highest common divisor of 33827 and 2. 1 Calculate the highest common factor of 130 and 1491230. 130 Calculate the highest common divisor of 885441 and 213. 213 What is the highest common divisor of 27676 and 2473228? 2516 Calculate the highest common divisor of 408 and 15402. 102 Calculate the highest common factor of 1421 and 2352. 49 Calculate the highest common divisor of 153 and 20592. 9 What is the highest common divisor of 64974 and 91? 91 Calculate the highest common factor of 4 and 233496. 4 What is the greatest common factor of 568752 and 369? 123 What is the greatest common factor of 497466 and 783? 261 What is the greatest common factor of 42 and 390? 6 What is the highest common factor of 1976 and 182? 26 Calculate the highest common factor of 12317 and 545. 109 Calculate the greatest common divisor of 367316 and 1145. 229 What is the greatest common divisor of 25 and 2716550? 25 What is the highest common divisor of 200 and 451928? 8 Calculate the greatest common factor of 176 and 6655. 11 What is the highest common divisor of 38080 and 1292? 68 Calculate the highest common divisor of 943 and 6979143. 943 Calculate the highest common factor of 2496 and 29757. 39 Calculate the greatest common factor of 267712 and 7144. 376 Calculate the greatest common divisor of 595539 and 5313. 483 Calculate the greatest common factor of 1357213 and 13. 13 Calculate the greatest common divisor of 272 and 44489. 17 What is the highest common factor of 13884 and 273? 39 Calculate the greatest common divisor of 45000 and 230. 10 Calculate the greatest common divisor of 24 and 4476. 12 What is the greatest common factor of 132805 and 20? 5 What is the greatest common factor of 100902 and 3? 3 Calculate the greatest common factor of 39 and 22815. 39 What is the highest common factor of 574 and 73976? 14 Calculate the greatest common divisor of 6025362 and 18. 6 Calculate the greatest common factor of 844296 and 762. 762 Calculate the greatest common factor of 759 and 168383. 23 Calculate the highest common factor of 19916 and 11024. 52 What is the greatest common divisor of 4865820 and 24? 12 Calculate the highest common divisor of 1032 and 29154. 258 What is the greatest common factor of 239754 and 62? 62 What is the greatest common factor of 3900 and 1643200? 1300 What is the greatest common factor of 26 and 211913? 13 What is the highest common divisor of 17 and 121652? 17 Calculate the highest common factor of 62566 and 545. 109 Calculate the greatest common divisor of 4786366 and 988. 494 What is the greatest common divisor of 219052 and 276? 92 What is the greatest common factor of 1112 and 367516? 556 What is the greatest common divisor of 29480 and 132? 44 Calculate the highest common factor of 54802 and 11938. 94 What is the greatest common factor of 48615 and 30? 15 What is the greatest common divisor of 601749 and 437? 437 Calculate the greatest common divisor of 1738187 and 11. 11 What is the highest common factor of 460 and 6940? 20 Calculate the highest common factor of 20 and 29306. 2 Calculate the greatest common factor of 576 and 1480. 8 Calculate the highest common factor of 283562 and 58. 58 What is the greatest common divisor of 40144 and 579? 193 Calculate the highest common divisor of 2368 and 18796. 148 What is the highest common divisor of 2208 and 6486? 138 Calculate the highest common factor of 6 and 28902. 6 What is the greatest common divisor of 1301637 and 411? 411 Calculate the greatest common factor of 6 and 7422342. 6 What is the greatest common divisor of 746 and 6932578? 746 What is the highest common divisor of 16 and 11624? 8 Calculate the highest common factor of 4290 and 705. 15 What is the highest common divisor of 33 and 741576? 33 Calculate the greatest common divisor of 53 and 368827. 53 Calculate the highest common divisor of 2507395 and 55. 55 What is the highest common divisor of 567331 and 31? 31 Calculate the greatest common divisor of 15571 and 92. 23 Calculate the greatest common factor of 65056 and 963. 107 Calculate the greatest common divisor of 438504 and 704. 88 Calculate the highest common divisor of 22132 and 2948. 44 What is the highest common factor of 2334 and 30? 6 Calculate the highest common factor of 1791 and 393423. 597 Calculate the greatest common divisor of 59075 and 102425. 425 Calculate the greatest common divisor of 91 and 315653. 13 What is the highest common factor of 258876 and 36096? 564 Calculate the highest common divisor of 57836 and 152. 76 Calculate the highest common factor of 19304 and 1976. 152 What is the greatest common divisor of 31935 and 30? 15 Calculate the greatest common factor of 6787 and 55. 11 What is the highest common factor of 2842 and 41650? 98 Calculate the greatest common factor of 478 and 522932. 478 Calculate the highest common factor of 647600 and 5200. 400 Calculate the greatest common divisor of 598 and 494. 26 Calculate the highest common divisor of 30785 and 705. 235 Calculate the highest common divisor of 64 and 3896. 8 What is the greatest common factor of 5056 and 2112? 64 Calculate the greatest common factor of 3195 and 197735. 355 Calculate the highest common divisor of 1306 and 30691. 653 What is the highest common factor of 7215 and 208? 13 What is the greatest common factor of 776 and 1136? 8 What is the greatest common factor of 63490 and 284798? 1814 Calculate the highest common factor of 561 and 262317. 33 Calculate the greatest common factor of 308506 and 44. 22 What is the greatest common divisor of 27 and 588813? 3 What is the greatest common divisor of 290491 and 19? 19 Calculate the highest common factor of 205248 and 1416. 24 What is the greatest common factor of 145 and 292291? 29 Calculate the highest common divisor of 3080 and 1918. 14 Calculate the greatest common factor of 4653 and 63. 9 Calculate the greatest common divisor of 4 and 2941756. 4 Calculate the greatest common factor of 24 and 466152. 24 Calculate the greatest common factor of 9968 and 256. 16 Calculate the highest common divisor of 1284 and 1177321. 107 What is the highest common factor of 2991810 and 1860? 930 Calculate the greatest common divisor of 1563874 and 52. 26 What is the greatest common factor of 63406 and 11662? 98 Calculate the greatest common factor of 2 and 38113. 1 What is the highest common factor of 34 and 613190? 34 Calculate the highest common factor of 186364 and 4. 4 Calculate the greatest common divisor of 252 and 4172. 28 Calculate the highest common factor of 6568 and 2904. 8 Calculate the highest common factor of 7587 and 12447. 27 Calculate the highest common factor of 1500536 and 16. 8 Calculate the highest common factor of 260 and 11336. 52
Suppose -5*m + 5 = -15. Solve -w - 2*q + 16 = -5*w, 4*w + 16 = -m*q for w. -4 Let a be 1/((-2)/5)*-2. Solve -2*n = 3*c + 6, -a*c + 3 = -3*n - 6 for n. -3 Let g = 5 - 11. Let x be 4/8 - 15/g. Solve 0 = 3*y - i - 11, -4*y + 3*y + 17 = -x*i for y. 2 Suppose 5*g - 4*m + 6 = -14, -2*m = -4*g - 22. Let n = 0 - g. Let d be (n/(-6))/((-4)/42). Solve -x - d = -4*l, l + 0*x = -2*x - 1 for l. 3 Let x be (-4)/(-6)*12/(-8). Let a be (x/1)/((-2)/24). Solve -4*g - 2*f - 4 = -a, 5*g + 5*f = 15 for g. 1 Let p(c) = 2*c - 6. Let s be p(0). Let b(q) = -2*q - 8. Let g be b(s). Solve 3*w + g*l = -3, -2*w + 5*w = -l - 12 for w. -5 Suppose 3*i - 7*i + 12 = 0. Solve 4*r + 3*w = 19, -i*r - w + 4 + 9 = 0 for r. 4 Let a(n) = 0*n**3 + 6*n + 0*n**3 - n**3 + 4*n**2. Let q be a(5). Let y = q + -5. Solve -3*r - r + 2*l = y, r + 3*l = 0 for r. 0 Let p = 68 - 68. Solve 0 = 4*c - m + 17, p*c - 4*m + 14 = 2*c for c. -3 Let g = 7 + -7. Suppose c = 5*b - c - 33, 4*c + 16 = g. Solve 4*p = -0*x - 2*x - 8, -b*p = -5*x - 20 for p. 0 Let a(d) = d + 9. Let i be a(-4). Suppose -6*g = -i*g. Solve 2*w = -6, -w + g*w = -5*c + 28 for c. 5 Let y be (-2 - 1) + 170/10. Suppose -2*n + 5*v = 2*v - 28, -2*n - 4*v + y = 0. Suppose 3*j - 4 - n = 0. Solve m - 6 = 2*d, -j*m - 2 = -22 for d. -1 Suppose 5*f - 26 = 3*p, 2*f - 2 = -f - 5*p. Suppose 2*q = -0*q + 4. Solve -5*d - a - q = f, 5*a + 6 = -d for d. -1 Let a = -52 + 54. Solve 0 = -0*l + 2*l - a*v + 6, -3 = 4*l + 5*v for l. -2 Suppose -3*t = 3, 2*t + 2*t = 4*k - 24. Suppose -5*m + 35 = 10. Let l(r) = r. Let w be l(m). Solve g = -w*q + 5, -3*g + k*q + 2 = 7 for g. 0 Let m = -50 - -72. Suppose -2*w + 120 = w. Let o = w - m. Solve -1 = -s + 5*j, -3*s - o = s + 2*j for s. -4 Let n = 3 + -1. Suppose i = 4*c - c + 8, -n*c = 2. Suppose 3*b + 6*g - 3*g = 63, -i*g = -2*b + 21. Solve b = 2*w + 2*v, 3*w + 3 + 0 = 3*v for w. 4 Let l(c) = c**2 + 14*c + 3. Let h be l(-14). Suppose -4*w + 44 = h*y - 2*y, 0 = -5*y - 2*w + 166. Solve 0 = k + 3*r - 0*r - 16, 0 = -4*k - 4*r + y for k. 4 Let r be (20/(-6))/(24/(-180)). Solve 5*g + 2*l - 4 = 0, 5*g - l = 4*l + r for g. 2 Suppose -5*p = 5*u - 30, p + 0 = 4. Let z(b) = 5*b**2 + b. Let m be z(1). Let j be 1/2 - (-111)/m. Solve -5*y = u*v + 5, 6*y + 5*v - j = 4*y for y. -3 Suppose -4*k + 56 = -0*k - 4*j, -3*k = -j - 40. Suppose 4*h - 11 - 13 = 0. Let z be ((-6)/4)/(h/(-8)). Solve z*s - k = b, 0 = -5*s + b + 28 for s. 5 Let y = 27 - 23. Solve -4*c + y*w - 3*w + 21 = 0, c - 3*w - 19 = 0 for c. 4 Suppose -20*m + 24 = -17*m. Solve -3*c = -c + 4, 4*c + m = 4*y for y. 0 Let t = -10 - -16. Let s be 16/t - (-5)/15. Solve s*x = 4*h + 9, 3*x - 4*h - 3 = -2*h for x. -1 Let p(v) = -v**3 + 9*v**2 - 6*v - 11. Let o be ((-40)/50)/((-2)/20). Let w be p(o). Solve 2*n = -8, w*c - 15 = -n + 6 for c. 5 Suppose u - 7 = l - 0, -62 = -5*u - 4*l. Solve -f - 4*s = -20, -3*s - u = 3*f - 5*s for f. 0 Let y be -4 - -3 - (-4)/1. Suppose 9 = y*m - 3. Solve 0 = -m*x + t + 19, -2*x + 15 = 4*t + t for x. 5 Suppose 5 = -2*b - l + 2, 3*b = 5*l - 37. Let i = 0 - b. Suppose 4*n = 4*g, -n + 0 - 6 = -i*g. Solve -2*j - n - 2 = 2*f, 3*j - 2 = f for f. -2 Suppose 4*b - 5 = 3, 0 = -3*i - 3*b + 51. Solve w = 5*t + i, 3*t - 4*w + 0*w - 8 = 0 for t. -4 Suppose 0*d + 5*w - 30 = 5*d, -9 = -3*w. Let y be 1 + (-1)/2*0. Let m = y - d. Solve -o - 18 = m*t, -3*t + 6*t + 22 = -5*o for o. -2 Let z(l) = l**3 - 5*l**2 - 13*l + 6. Let n be z(7). Solve -17 = 4*c + i, -4*c = 2*i + 31 - n for c. -4 Let w(m) = 11*m**2 + 5*m - 9. Let a be w(-7). Let f be a/60 + 3/4. Solve -3*n + 2*l + f = 0, 0*n + l = 4*n - 17 for n. 5 Let f(p) = -13*p + p**3 + 5*p**2 + 3 + 6*p - 5. Let c be f(-6). Solve -2*m - c*x - 8 = -m, -x = 4*m + 17 for m. -4 Let n be 32/112 - 24/(-14). Solve q = -4*s - 0*q - 11, 0 = 4*s + n*q + 6 for s. -4 Let w(b) = b. Let n(d) = -3*d - 7. Let o(l) = -n(l) - 2*w(l). Let s be o(-5). Solve 0 = -s*m + 2*x - 8, 4*m + x - 16 = -3*x for m. 0 Suppose 2*f + 6 = 12. Solve u = -b + 2 - 1, -f*b + 6 = 2*u for b. 4 Let v(j) = -2*j**3 + 3*j**2 + j - 2. Let m be v(2). Let i = -4 - m. Suppose i*d + d = 2. Solve -b + 3*g + g - 2 = 0, 0 = 3*b + d*g - 8 for b. 2 Let i be 1*4 + (-14 - -14). Solve i*q = j - 0 + 1, -5*j + 13 = -2*q for j. 3 Let n(x) = x**2 - 2*x + 3. Let c(v) = -v**3 - 6*v**2 + 2*v + 8. Let m be c(-6). Let i be n(m). Solve i = 3*j - 3*d, j + 2*j + 4*d = -1 for j. 5 Suppose 32 - 12 = 5*j. Solve -24 = j*u + u - 3*q, u = 5*q - 18 for u. -3 Suppose -u - 16 = 4*g - 0, 3*g = -9. Let z(x) = -x**3 - 3*x**2 + 2*x - 5. Let m be z(u). Solve 4*i - m*l - 28 = -l, 0 = 2*i - 2*l - 18 for i. 5 Let j = 6 - 6. Let q be -2 + (-1 - (j - -1)). Let i = -4 - q. Solve 0 = z - i*b - 4*b - 17, -3*z = -b - 7 for z. 1 Let f = 100 + -98. Solve 2*u - 4*r = -f*r + 12, 6 = -u - 2*r for u. 2 Let x = 27 + -21. Solve -4*p = d - x, 4*d + 12 = 3*p - p for d. -2 Suppose -4*q + 17 + 3 = 0. Let h = 83 + -57. Let j be (-4)/(-6) - h/(-6). Solve 19 = j*n - q*c - 11, -n - c - 2 = 0 for n. 2 Let x(v) = 3*v**3 - 2*v**2 + v + 2. Let h be x(2). Suppose 2*i - 4*s - h = 0, -s = 5*i - 5*s - 32. Solve -4*r = i*u + 12, -4*r + 4*u = 2*u + 24 for r. -5 Let w(f) = -f + 3. Let g be w(3). Suppose g*r - 15 = -5*r. Solve -9 = 3*p - l, 2*l - 4*l - 18 = r*p for p. -4 Let d be 19/6 + (3 - 57/18). Solve -q - q + 19 = -d*y, 3*y - q = -17 for y. -5 Let y = -8 - -14. Let r(g) = 2*g - 7. Let k be r(y). Solve 4*a = 3*d - 9, 2*d - a - k = 1 for d. 3 Let f be (-1 - 2) + 0 + 8. Solve -5*u - 20 = -5*d, 2*d = -f*u + d - 14 for u. -3 Let m be (-3 - -5)*9/6. Solve o + 20 = m*g, g + 0 - 10 = o for o. -5 Let a = 22 - 20. Solve -r = c - 6, 3*r + a*c - 20 = -2*c for r. 4 Suppose -5*d + 4*u = 25, -2*d + 4 = -5*u + 14. Let j be d/(-2) - (-2)/(-4). Let n be 0/2*j/(-4). Solve 4*m + 5*y = 10, y = 5*m - n*y + 2 for m. 0 Let b be (1 - (-2 + 2)) + 1. Suppose 0 = 7*o - b*o - 10. Let f be (-5 + 1)/(-2) + 0. Solve -o*p = f*q - 8, -3*p + 12 = -0 for q. 0 Suppose 6*a - 52 = -16. Solve 5*q + 27 = 4*i - i, 0 = 2*q + 3*i - a for q. -3 Suppose 2*w = 4*w - 6. Suppose 1 = q - w. Suppose -4*d + q = -4. Solve s + 4*b + 13 = 0, d*s = s + 4*b + 11 for s. -1 Suppose 30*i - 32*i + 10 = 0. Solve 5*j = 5*f - 35, -i*j - 3 = 3*f - 0*f for j. -3 Let f be (12/(-2))/(12/(-8)). Suppose -f*w = 2*r - 8, -5*w + 6*r - 2*r = -23. Solve k - 25 = 4*c, 0*c - 5 = w*c + 2*k for c. -5 Suppose -v = -4*v + 30. Solve 0*l = 2*l - v, 0 = 4*y + l + 3 for y. -2 Let k be (4 + -3 - 3) + 7. Suppose -k*g = -20 - 5. Solve -5*f + 4*c - 2 = -6, f = -5*c - g for f. 0 Suppose -2*f = 3*f - 55. Let s = f - 11. Solve s = 2*h + r + 13, 19 = -5*h - 2*r + 4*r for h. -5 Let z be (-2)/(-6)*1*3. Let m be (-5 + 4)*z*-5. Solve 3*d - 20 = 4*y + d, -2*y - m*d - 10 = 0 for y. -5 Suppose 0 = -3*j + 2*j - y + 15, -6 = -2*y. Solve -m = -0*m - 5*a - j, 0 = 3*m - 2*a + 3 for m. -3 Let f = 23 + -21. Solve 3*y = 7*y + 3*b - f, 0 = -2*y + 4*b + 12 for y. 2 Let j be (-11 + 12)*(-1 - 0). Let h be 2*(-2 + 3) - j. Solve -2*d = -2*p + 6, 10*p - 15 = 5*p + h*d for p. 3 Suppose -17*f + 2 = -16*f. Solve -f*g + 4*g = 10, 0 = 3*k - 3*g + 24 for k. -3 Let k be (-34)/(-5) + 4/20. Suppose 4*d - 5 = k. Let p be 8/d*6/4. Solve 0 = -i + p*y - 1 - 6, y + 17 = 4*i for i. 5 Let w be 2/8 - (-297)/12. Suppose -4*s - s = -w. Let j be 87/27 - 6/27. Solve z - s = -3*z + 5*v, -4*z - j*v = 35 for z. -5 Let z be ((-6)/(-10))/(9/(-5) + 2). Solve 3*u = 5*p + 11, -z*u - p = 3*p + 25 for u. -3 Let h(l) = -l**2 + 6*l + 5. Let g be h(6). Solve 0 = -3*o + 5*f + 6 - 0, 15 = -g*f for o. -3 Let l = 26 - 10. Solve 3*m = -m + v - 4, -3*m + 4*v = l for m. 0 Let h(q) = 4*q**2 - 4*q + 3. Let w be h(1). Solve 3*c + 17 = -2*d, 5*d + c + 7 = -w for d. -1 Suppose 0 = -3*k + 4*k - 19. Solve 2*q - 7 = l - k, -2*q + 4 = 3*l for l. 4 Let m be -3 - (-1)/(2/6). Suppose -i = -f + 3*i + 14, 0 = f - 5*i - 17. Solve f*p + 3*a = -m + 5, -5*a + 3 = -2*p for p. 1 Let d = 0 - -1. Suppose 2*v + 10 = 4*l, 0*v + v = l - d. Solve -4*o - k = -4*k - 22, v*o - 8 = -2*k for o. 4 Let c = -207 + 211. Solve 0 = d, 0 = -3*t + c*d - 9 - 0 for t. -3 Suppose 17*v = 12*v + 100. Solve -3*c = -4*w - 6 - 5, 5*c = 5*w + v for w. 1 Suppose 5 + 7 = -4*j. Let b be (-3 + j)/((-3)/8). Suppose -5*w + b = -29. Solve -6*k + k - w = -2*z, -12 = 5*k - z for k. -3 Let y be (4/(2 + -1))/2. Solve 5 = -5*i, -2*i - y*i = -3*c - 11 for c. -5 Let i(s) = 2*s**2 - 2*s - 2. Suppose -3*m + 0 = -15. Suppose -m + 9 = 2*t. Let q be i(t). Solve 4*v = q*g + 3*v - 1, -2*v + 19 = 3*g for g. 3 Let x = -2 + -6. Let w = -5 - x. Solve r = -w*f - 7, r - 1 = 2*f + 2 for r. -1
Suppose 2*v - 267 = -j, 104*j - 105*j = -5. Let o = 158 - v. Are o and 25 non-equal? True Let k be (45 - 12/(-3)) + -4. Let p be (87/8)/(1/2*7/14). Which is greater: p or k? k Let t = -7753 - -8162.4. Which is bigger: t or 1/3? t Let w(k) = -k**3 - 52*k**2 - 672*k + 66. Let c be w(-25). Is 60 less than c? False Let s = -95.6 + 727.6. Let j = s + -619. Is -0.6 <= j? True Suppose -5*b = -3*b - 4, -5*b = 2*v + 390. Let f(i) = i**3 + 36*i**2 - 32*i - 15. Let u be f(-37). Is v bigger than u? False Let j = -79 + 84. Suppose j*n = 7 - 92. Let d(b) = b**2 + 20*b + 18. Let p be d(n). Are -34 and p equal? False Let p = 206.43 + 0.57. Let x = p - 209. Let v(l) = -l**3 - 5*l**2 - l - 1. Let f be v(-5). Is x not equal to f? True Let t be (-12)/(-168) + ((-1215)/126 - -10). Is t at least -0.0663? True Let r(g) = -713*g - 245. Let t be r(3). Which is smaller: -2383 or t? t Suppose -4*s + 5 = -5*p, -2 = -p + 2*s - 9. Let v = -58 + 62. Suppose 0 = -b - 5*j + 6*j + 4, 0 = -5*b - 3*j + v. Which is smaller: p or b? b Let g = 8380/43 - 67417186/345935. Do -1 and g have different values? True Let v = 21189/38 - 1117/2. Let m be (6 + 78/(-18))/(390/(-468)). Is v at least as big as m? True Suppose -7984*z = -7892*z - 5428. Is z greater than 39? True Suppose 0 = u - 3*f + 4, 3*u - 5*f - 1 + 5 = 0. Suppose -w - 2*g = 17, -u*g = -4*g. Suppose -3*b - 24 = -3*r + 24, -r + 73 = -4*b. Is w less than or equal to b? False Let l = -57274/13 - -4408. Let n(m) = -m - 1. Let y be n(-4). Is y not equal to l? True Let q = -2931 - -2988. Is q at least 337/6? True Let c = -18 + 17.934. Let y = c + 0.066. Do y and -8/7 have the same value? False Suppose 3*x = 16*k - 14*k - 1529, -3*x + 2286 = 3*k. Suppose -k = -8*v + 701. Which is smaller: v or 184? v Let a = -51.56 + 51.46. Suppose -4*v = -2*v - 104. Is a != v? True Let i = -2952 - -801. Which is smaller: i or -1? i Let w(p) = -p**3 + 3*p**2 + 1. Let k be w(3). Let f be (-3675)/(-24) - k/8. Let j = -66 + f. Are 88 and j unequal? True Let m(d) = d**3 - 2*d**2 - 76*d + 37. Let j be m(-8). Is j less than or equal to 119/20? True Suppose 45 = -5*i - 4*i. Let f be 6 - i/(200/1856). Which is bigger: f or 53? 53 Suppose 4*l + 3*v = 17, 11 + 3 = 4*l + 2*v. Suppose 21 = -j + 5*g, -j + 3*j + g = l. Is j less than 3/272? True Let c = -2273 - -2291. Do -17 and c have different values? True Let g = 65263 + -197741/3. Is g smaller than -652? False Let n = 28198 + -28190.93. Is 28 less than n? False Let h = -2011471/355 - -28331/5. Suppose 0*y = -2*y. Which is bigger: h or y? h Let a = -0.38647 - -142.38647. Which is bigger: a or 0.1? a Let x(u) = u - 2. Let z be x(2). Let p = z - 3. Let i be p/(-4) + (-1)/(-4). Do i and -3 have the same value? False Let i = -113 - -120.7. Let z = -10.7 + i. Is z less than 1? True Suppose z + 2*l - 4 = -2*l, 4*z = 2*l + 88. Suppose 0*t = -4*t + z. Let v be (1 + (-2 - t))/(3/9). Does -17 = v? False Let q = 87 + -7. Let v be (-9)/4*q/30. Let d be (-8)/(-3) - (2 + v). Is d at least 8? False Let o be 30/(-3 - 2) - (3616/(-600) - 0). Which is smaller: 1/5 or o? o Suppose 3*d + 9 = -3*y, -25*d + 5*y = -28*d - 17. Which is smaller: 4/6413 or d? 4/6413 Suppose h + 5*i + 855 = 0, h - i - i = -834. Let c be ((-18)/h)/((-6)/5). Let y = -15/56 - c. Which is bigger: y or 2/33? 2/33 Suppose 0*m + 21 = -m. Let k be 15/9*((-128871)/270)/37. Which is bigger: m or k? m Let l = -85856 - -47054. Let i be 1/(-2)*l/(-63). Let t = i - -308. Which is smaller: 0 or t? 0 Let h = -29.78 - -0.78. Let i = 42 + h. Is -6 at most as big as i? True Suppose -y = a + 3, -y - 103*a = -98*a + 19. Which is smaller: -8/1951 or y? -8/1951 Let l be (89676/(-336))/3 - (-10)/8. Which is smaller: l or -89? -89 Let u be 8 - 10 - (-63 + 1). Let x be ((-10)/42)/((-85)/102). Is x at most as big as u? True Suppose -7 = -4*b + 2*g - 29, -3*b + g - 14 = 0. Let a be 9 - 3 - (-2 - (-10 - b)). Is a at least as big as 11/13? True Let n be ((-8)/(-28))/(5 - (3 - 56/(-49))). Which is smaller: 3551 or n? n Let r = -543 - -542. Let l(u) = -u**3 - u**2 - 3*u - 2. Let d be l(r). Is 10/51 at least d? False Let b = 68 + -149. Let o = -82.6 - b. Which is greater: 5 or o? 5 Let n = 19945 + -19941. Let f(p) = 5*p - 6. Let h be f(6). Let k be (2/n)/((-1)/h). Which is greater: k or -5? -5 Let i be 4/34 - 275096/(-21080). Let x = i + -61/5. Which is greater: x or 0? x Let b(z) = -z**3 + 15*z**2 - 1. Let m be b(15). Is m at most -4/487? True Let m = -1601/15 + 5328143/49920. Are 1 and m non-equal? True Suppose 2*p + 2*p - 13 = -5*o, 0 = -o - 3*p - 4. Suppose 85 + 90 = -o*y. Suppose 19*g + 350 + 296 = 0. Which is smaller: y or g? y Suppose 141*s - 288251 = 23500. Is s less than or equal to 2209? False Let v be 9/(-55) + 156/30 + -5. Let b = v - -76/935. Are b and -0.04 unequal? True Let m = 443 - 444. Let a be 18/6 + 176/m + 5. Which is smaller: a or -166? a Let z = -20.4 - 4.6. Let i = -3.5 + -464.5. Let a = 467 + i. Is a < z? False Let o be 206/(-824)*(-152)/2. Which is smaller: 854/43 or o? o Let q = -508 - -520. Let y be q/33 - 2511/99. Which is smaller: -76/3 or y? -76/3 Suppose 0 = -26*d + 207 + 27. Suppose -3*b - 2*w - 74 = 0, -40 = 2*b - w - 0*w. Let c = d + b. Which is smaller: -14 or c? -14 Let o = 123 + -126. Suppose -6 = 2*c + 6. Let a = c + o. Which is smaller: -10 or a? -10 Let w = 4288/7 + -613. Which is smaller: w or 2/2747? w Suppose -15975*u = -15965*u + 87740. Which is smaller: u or -8775? -8775 Let l(b) = -181*b + 1482. Let k be l(3). Which is bigger: k or 938? k Let l(y) = -y**3 - 2*y**2 + 20*y - 15. Let k be l(3). Which is smaller: k or -1/168? -1/168 Let i be 0/(-6 - -12) + (1 - -1). Suppose -6*r - 5*v + 70 = -r, r = i*v + 8. Let g be 1/((-6)/4 - 66/r). Which is smaller: g or 0? g Let d = -128 + 101. Let t be (-2)/(-8 + 4) + d/(-6). Is t < -17? False Let s = 245/8 + -31. Let o(q) = -q**3 - 4*q**2 - 6*q - 7. Let n be o(-3). Is s less than or equal to n? True Let n = -533 - -995. Let q = n + -466.6. Is q greater than or equal to 2? False Let o = -8584 - -25508/3. Are -80 and o nonequal? True Let q(o) = -2*o**2 - 10*o + 40. Let n be q(-9). Let z be n/(-112) + (-18)/14. Which is bigger: z or 3/22? 3/22 Let n(v) = 10*v + 4. Let r be n(7). Let x = 932.5 + -932.4. Is x >= r? False Suppose 0 = -4*m - s + 7163, -m - 1694 + 3480 = 5*s. Which is greater: m or 1786? m Let w = -443.8 - 123.2. Let b = -507 - w. Are b and 3 non-equal? True Let x be ((-46)/644*7)/((-2)/(-436)). Which is bigger: 2/343 or x? 2/343 Suppose 21*q = 4*y + 18*q - 3, 10*y + 5*q = -5. Which is greater: y or -1/6628? y Let x = 71 + -69. Let q be 80/25 + -2 - 0/x. Which is greater: 0 or q? q Let c = -440 + 520. Suppose l - c = -39*l. Which is smaller: l or 1? 1 Suppose -63*t + 20*t = 0. Let w be 984 + 0 + (-1 - 0). Let z = w + -71758/73. Which is bigger: z or t? z Let z = -75 + 60. Let n be (10/z)/(-2*4/156). Which is bigger: n or 9? n Let s = 1.8 + 1.08. Let z = -86.88 + s. Is z at least 0? False Let v = -0.41 + 0.11. Let x = 3.3 + v. Let g = 10.9 - 8.9. Which is bigger: x or g? x Let d be 6/(-10) + (-39)/(-65) + 0. Suppose -19*o - 9*o - 364 = d. Suppose -17 = -3*y - 59. Is o smaller than y? False Let d be (54172/(-30))/((-132)/(-50)). Let h = 2176 + -1492. Let x = d + h. Do 0 and x have the same value? False Let l = 11684 + -11705. Let k(h) = h**3 - 7*h**2 + 6*h - 3. Let y be k(6). Which is smaller: l or y? l Let y = -20593 + 15630. Which is smaller: -4964 or y? -4964 Let q be (6/42)/(84/441). Let x(c) = -2*c**3 - c**2 + c + 1. Let i be x(-2). Let s be 1/(-3) + i/231. Which is smaller: s or q? s Suppose 13*n + 5*k = 14*n + 14761, 4*k - 14758 = n. Which is smaller: -14747 or n? -14747 Let n be (1 + 14)*(6 - 5). Let b = -140 - -143. Suppose 5*c - 3*v = 15, -5*c = -3*c - b*v - n. Which is smaller: c or -7/5? -7/5 Let y = -4111 - -4044. Is y <= 3? True Suppose -4*i + s = -13251 - 3733, 17032 = 4*i + 5*s. Is 4248 less than or equal to i? True Let z be ((-401)/(-7395) + 72/(-1224))/(-10). Which is smaller: -1 or z? -1 Let x = 12149 + -12152. Does x = 83? False Suppose 3*w - 13 = 2*q, 9*w - 2*q = 4*w + 19. Let s(t) = -3*t**2 - 6*t - 4. Let l be s(w). Let j be l/2 + -1*(-4)/(-8). Is j at least -25? True Suppose 6*a = -4*n + 3*a + 3112, a = 0. Which is bigger: 777 or n? n Let p = -1645 + 1526. Which is bigger: p or -4/15? -4/15 Let x = -406.5666 + -12.3614. Let y = -419 - x. Which is smaller: y or 5? y Let n = 50143/1251888 + -2/7113. Let p = -3781/2288 - n. Is p equal to -3? False Suppose 62*j = -w + 64*j - 9, 4*w - 5*j + 24 = 0. Is 13/220 greater than w? True
What is the hundreds digit of 1141420? 4 What is the units digit of 25763831? 1 What is the thousands digit of 1810967? 0 What is the thousands digit of 946840? 6 What is the thousands digit of 5477163? 7 What is the thousands digit of 5232417? 2 What is the units digit of 214025? 5 What is the ten thousands digit of 504482? 0 What is the thousands digit of 3082294? 2 What is the hundred thousands digit of 2555972? 5 What is the millions digit of 23110684? 3 What is the units digit of 392969? 9 What is the units digit of 1486405? 5 What is the hundreds digit of 11425001? 0 What is the millions digit of 12127870? 2 What is the units digit of 13092148? 8 What is the thousands digit of 1441074? 1 What is the millions digit of 1821788? 1 What is the ten thousands digit of 993847? 9 What is the millions digit of 2936079? 2 What is the hundreds digit of 1461? 4 What is the hundreds digit of 38158? 1 What is the hundreds digit of 466758? 7 What is the hundreds digit of 486431? 4 What is the units digit of 1441441? 1 What is the hundreds digit of 209534? 5 What is the thousands digit of 339612? 9 What is the units digit of 108146? 6 What is the hundred thousands digit of 1605533? 6 What is the units digit of 1655259? 9 What is the tens digit of 2879935? 3 What is the tens digit of 453972? 7 What is the ten thousands digit of 4776266? 7 What is the tens digit of 837580? 8 What is the tens digit of 54588? 8 What is the ten millions digit of 24481992? 2 What is the thousands digit of 13123394? 3 What is the hundreds digit of 2994732? 7 What is the units digit of 6665173? 3 What is the millions digit of 1042317? 1 What is the tens digit of 836699? 9 What is the thousands digit of 82632? 2 What is the units digit of 2566985? 5 What is the hundred thousands digit of 615446? 6 What is the units digit of 1700670? 0 What is the thousands digit of 250908? 0 What is the thousands digit of 3379949? 9 What is the ten thousands digit of 25474? 2 What is the millions digit of 2409682? 2 What is the millions digit of 5043779? 5 What is the hundreds digit of 287042? 0 What is the thousands digit of 296182? 6 What is the units digit of 3867755? 5 What is the units digit of 852896? 6 What is the hundreds digit of 3395408? 4 What is the hundreds digit of 476524? 5 What is the hundreds digit of 435527? 5 What is the hundreds digit of 320892? 8 What is the millions digit of 1545232? 1 What is the units digit of 219993? 3 What is the tens digit of 3183360? 6 What is the hundreds digit of 229425? 4 What is the units digit of 1414090? 0 What is the thousands digit of 130506? 0 What is the hundreds digit of 371085? 0 What is the hundred thousands digit of 143451? 1 What is the tens digit of 4037374? 7 What is the units digit of 175440? 0 What is the tens digit of 4209652? 5 What is the hundred thousands digit of 844293? 8 What is the hundreds digit of 25511011? 0 What is the units digit of 13328337? 7 What is the units digit of 2770495? 5 What is the units digit of 6232023? 3 What is the millions digit of 14719129? 4 What is the ten thousands digit of 32697740? 9 What is the hundreds digit of 147828? 8 What is the tens digit of 11865? 6 What is the tens digit of 3246? 4 What is the hundreds digit of 5864144? 1 What is the units digit of 5596627? 7 What is the millions digit of 11525586? 1 What is the tens digit of 11518274? 7 What is the ten thousands digit of 58071? 5 What is the tens digit of 8173881? 8 What is the units digit of 1355532? 2 What is the hundreds digit of 174172? 1 What is the ten thousands digit of 5571704? 7 What is the hundred thousands digit of 424877? 4 What is the tens digit of 65492? 9 What is the ten millions digit of 20054831? 2 What is the hundreds digit of 999963? 9 What is the tens digit of 1798846? 4 What is the thousands digit of 2612614? 2 What is the hundreds digit of 8142738? 7 What is the ten thousands digit of 1755978? 5 What is the thousands digit of 32860? 2 What is the ten thousands digit of 387379? 8 What is the units digit of 8965694? 4 What is the tens digit of 1365993? 9 What is the ten thousands digit of 263409? 6 What is the units digit of 537271? 1 What is the ten thousands digit of 45586? 4 What is the tens digit of 2023765? 6 What is the hundreds digit of 691222? 2 What is the ten thousands digit of 93604? 9 What is the millions digit of 27746839? 7 What is the thousands digit of 388777? 8 What is the tens digit of 570236? 3 What is the thousands digit of 288429? 8 What is the thousands digit of 109240? 9 What is the hundred thousands digit of 7125404? 1 What is the hundreds digit of 54971? 9 What is the ten millions digit of 12203355? 1 What is the thousands digit of 13684800? 4 What is the tens digit of 10102210? 1 What is the hundreds digit of 17224? 2 What is the hundreds digit of 11134294? 2 What is the ten thousands digit of 2312632? 1 What is the ten thousands digit of 1309688? 0 What is the ten thousands digit of 2167238? 6 What is the millions digit of 3715787? 3 What is the ten thousands digit of 165392? 6 What is the millions digit of 3068181? 3 What is the tens digit of 539348? 4 What is the ten thousands digit of 28907? 2 What is the tens digit of 605336? 3 What is the tens digit of 38573? 7 What is the hundreds digit of 2744? 7 What is the tens digit of 96380? 8 What is the ten thousands digit of 1620016? 2 What is the hundreds digit of 28405? 4 What is the hundred thousands digit of 1439596? 4 What is the units digit of 9216? 6 What is the units digit of 15328971? 1 What is the units digit of 1969411? 1 What is the millions digit of 15799742? 5 What is the hundred thousands digit of 10119929? 1 What is the tens digit of 269906? 0 What is the hundred thousands digit of 186466? 1 What is the units digit of 478078? 8 What is the ten thousands digit of 801764? 0 What is the hundreds digit of 37205? 2 What is the tens digit of 6355096? 9 What is the units digit of 123110? 0 What is the tens digit of 906960? 6 What is the tens digit of 2195341? 4 What is the thousands digit of 978272? 8 What is the thousands digit of 349536? 9 What is the ten thousands digit of 1699722? 9 What is the ten thousands digit of 746286? 4 What is the tens digit of 67184? 8 What is the ten millions digit of 17860282? 1 What is the thousands digit of 278109? 8 What is the millions digit of 1650580? 1 What is the ten thousands digit of 50265? 5 What is the thousands digit of 3319409? 9 What is the units digit of 21872713? 3 What is the thousands digit of 147787? 7 What is the hundred thousands digit of 371597? 3 What is the hundred thousands digit of 127936? 1 What is the ten millions digit of 10828011? 1 What is the hundreds digit of 10681? 6 What is the hundreds digit of 1800393? 3 What is the units digit of 18742138? 8 What is the units digit of 222187? 7 What is the tens digit of 276488? 8 What is the ten millions digit of 17182669? 1 What is the hundreds digit of 293162? 1 What is the hundreds digit of 525011? 0 What is the hundred thousands digit of 127215? 1 What is the thousands digit of 423439? 3 What is the thousands digit of 155090? 5 What is the hundred thousands digit of 2197116? 1 What is the thousands digit of 1694361? 4 What is the tens digit of 12814669? 6 What is the hundred thousands digit of 176567? 1 What is the thousands digit of 417685? 7 What is the hundreds digit of 7441275? 2 What is the hundreds digit of 218761? 7 What is the ten thousands digit of 210957? 1 What is the thousands digit of 154806? 4 What is the hundreds digit of 1081378? 3 What is the hundred thousands digit of 108483? 1 What is the ten thousands digit of 456035? 5 What is the thousands digit of 8551488? 1 What is the ten thousands digit of 7904953? 0 What is the thousands digit of 2160749? 0 What is the tens digit of 3435456? 5 What is the hundreds digit of 28934? 9 What is the tens digit of 27470745? 4 What is the units digit of 805562? 2 What is the ten thousands digit of 4078383? 7 What is the units digit of 518147? 7 What is the ten thousands digit of 362373? 6 What is the tens digit of 22910? 1 What is the ten thousands digit of 1638515? 3 What is the millions digit of 2315526? 2 What is the tens digit of 323227? 2 What is the hundred thousands digit of 839547? 8 What is the ten thousands digit of 368454? 6 What is the units digit of 262406? 6 What is the ten thousands digit of 7593013? 9 What is the hundred thousands digit of 1713085? 7 What is the units digit of 29688650? 0 What is the thousands digit of 150960? 0 What is the hundreds digit of 3837360? 3 What is the ten thousands digit of 5335257? 3 What is the thousands digit of 3998943? 8 What is the hundred thousands digit of 3495058? 4
What is the remainder when 147112 is divided by 551? 546 What is the remainder when 966379 is divided by 458? 457 What is the remainder when 212721 is divided by 1467? 6 What is the remainder when 508791 is divided by 39? 36 Calculate the remainder when 1960 is divided by 102. 22 Calculate the remainder when 2092 is divided by 497. 104 Calculate the remainder when 6749 is divided by 842. 13 What is the remainder when 7317 is divided by 3? 0 What is the remainder when 259 is divided by 203? 56 What is the remainder when 126525 is divided by 6325? 25 Calculate the remainder when 163780 is divided by 27. 25 What is the remainder when 3762380 is divided by 1021? 1016 Calculate the remainder when 55699 is divided by 13916. 35 Calculate the remainder when 28613 is divided by 1789. 1778 Calculate the remainder when 463549 is divided by 64. 61 What is the remainder when 39217 is divided by 9804? 1 What is the remainder when 56096 is divided by 207? 206 What is the remainder when 30520 is divided by 30508? 12 Calculate the remainder when 11702 is divided by 11472. 230 Calculate the remainder when 319 is divided by 26. 7 What is the remainder when 34216 is divided by 2443? 14 Calculate the remainder when 17175 is divided by 235. 20 What is the remainder when 6069 is divided by 2999? 71 What is the remainder when 40602 is divided by 5074? 10 What is the remainder when 122301 is divided by 364? 361 What is the remainder when 3106 is divided by 110? 26 Calculate the remainder when 400907 is divided by 66810. 47 Calculate the remainder when 15149 is divided by 133. 120 Calculate the remainder when 489817 is divided by 19. 16 What is the remainder when 6131 is divided by 3055? 21 What is the remainder when 4025 is divided by 578? 557 Calculate the remainder when 1919 is divided by 747. 425 What is the remainder when 37381 is divided by 77? 36 What is the remainder when 27131 is divided by 82? 71 Calculate the remainder when 2514 is divided by 34. 32 Calculate the remainder when 938 is divided by 72. 2 What is the remainder when 601 is divided by 63? 34 Calculate the remainder when 5538 is divided by 198. 192 What is the remainder when 3998 is divided by 93? 92 Calculate the remainder when 1152 is divided by 986. 166 What is the remainder when 105444 is divided by 28? 24 Calculate the remainder when 1361 is divided by 175. 136 Calculate the remainder when 8403 is divided by 44. 43 Calculate the remainder when 2287 is divided by 80. 47 Calculate the remainder when 11447 is divided by 3814. 5 Calculate the remainder when 202675 is divided by 15. 10 Calculate the remainder when 12008 is divided by 324. 20 What is the remainder when 76306 is divided by 557? 554 What is the remainder when 693219 is divided by 1328? 3 Calculate the remainder when 10204756 is divided by 340. 336 Calculate the remainder when 20834 is divided by 146. 102 What is the remainder when 355 is divided by 100? 55 Calculate the remainder when 40113 is divided by 422. 23 What is the remainder when 153204 is divided by 47? 31 Calculate the remainder when 74050 is divided by 433. 7 Calculate the remainder when 579474 is divided by 3369. 6 Calculate the remainder when 7830 is divided by 12. 6 What is the remainder when 38235 is divided by 13? 2 What is the remainder when 243221 is divided by 72? 5 What is the remainder when 53097 is divided by 13274? 1 What is the remainder when 92836 is divided by 978? 904 Calculate the remainder when 10478 is divided by 2473. 586 What is the remainder when 6993 is divided by 35? 28 What is the remainder when 4315 is divided by 862? 5 Calculate the remainder when 3209 is divided by 164. 93 What is the remainder when 6902 is divided by 83? 13 Calculate the remainder when 343022 is divided by 22. 20 What is the remainder when 117016 is divided by 2488? 80 What is the remainder when 4213 is divided by 117? 1 Calculate the remainder when 151723 is divided by 232. 227 What is the remainder when 6009 is divided by 36? 33 Calculate the remainder when 69103 is divided by 112. 111 Calculate the remainder when 142993 is divided by 650. 643 Calculate the remainder when 24778 is divided by 310. 288 Calculate the remainder when 113226 is divided by 292. 222 Calculate the remainder when 8530 is divided by 820. 330 What is the remainder when 353372 is divided by 36? 32 What is the remainder when 146972 is divided by 221? 7 What is the remainder when 170426 is divided by 10? 6 Calculate the remainder when 8265 is divided by 89. 77 What is the remainder when 8978 is divided by 27? 14 What is the remainder when 67923 is divided by 209? 207 Calculate the remainder when 33563 is divided by 369. 353 What is the remainder when 27678 is divided by 130? 118 What is the remainder when 69551 is divided by 72? 71 What is the remainder when 312655 is divided by 246? 235 What is the remainder when 14863 is divided by 780? 43 What is the remainder when 8853 is divided by 41? 38 Calculate the remainder when 3305 is divided by 77. 71 What is the remainder when 952 is divided by 237? 4 What is the remainder when 397262 is divided by 132420? 2 What is the remainder when 18666 is divided by 25? 16 Calculate the remainder when 698069 is divided by 187. 185 Calculate the remainder when 6332 is divided by 448. 60 What is the remainder when 4507 is divided by 433? 177 What is the remainder when 4260059 is divided by 140? 139 Calculate the remainder when 16346 is divided by 61. 59 Calculate the remainder when 41018 is divided by 13631. 125 What is the remainder when 1795 is divided by 7? 3 What is the remainder when 536824 is divided by 536818? 6 Calculate the remainder when 33495 is divided by 49. 28 Calculate the remainder when 815844 is divided by 450. 444 Calculate the remainder when 529966 is divided by 248. 238 Calculate the remainder when 217457 is divided by 217456. 1 What is the remainder when 2823968 is divided by 89? 87 Calculate the remainder when 200877 is divided by 496. 493 What is the remainder when 96974 is divided by 225? 224 What is the remainder when 8913 is divided by 68? 5 What is the remainder when 9128 is divided by 2978? 194 Calculate the remainder when 3032 is divided by 1736. 1296 What is the remainder when 301122 is divided by 125? 122 Calculate the remainder when 7904 is divided by 263. 14 Calculate the remainder when 2979 is divided by 372. 3 What is the remainder when 7275 is divided by 155? 145 What is the remainder when 684 is divided by 256? 172 What is the remainder when 3357 is divided by 416? 29 What is the remainder when 48814 is divided by 159? 1 Calculate the remainder when 59054 is divided by 3686. 78 Calculate the remainder when 1172 is divided by 104. 28 What is the remainder when 319971 is divided by 60? 51 What is the remainder when 13584 is divided by 2242? 132 What is the remainder when 3103194 is divided by 180? 174 What is the remainder when 7250 is divided by 64? 18 Calculate the remainder when 7403 is divided by 7387. 16 Calculate the remainder when 26074 is divided by 25. 24 What is the remainder when 245085 is divided by 7207? 47 Calculate the remainder when 138098 is divided by 68989. 120 What is the remainder when 8226 is divided by 284? 274 What is the remainder when 2238 is divided by 361? 72 What is the remainder when 4387 is divided by 143? 97 Calculate the remainder when 140 is divided by 118. 22 Calculate the remainder when 31205 is divided by 174. 59 Calculate the remainder when 5066 is divided by 37. 34 What is the remainder when 5071 is divided by 2319? 433 Calculate the remainder when 3157289 is divided by 18. 17 Calculate the remainder when 643 is divided by 311. 21 What is the remainder when 14233 is divided by 11? 10 Calculate the remainder when 8471 is divided by 1341. 425 What is the remainder when 4617 is divided by 330? 327 What is the remainder when 129906 is divided by 42? 0 What is the remainder when 20646 is divided by 94? 60 What is the remainder when 55404 is divided by 2308? 12 What is the remainder when 19608 is divided by 6? 0 Calculate the remainder when 7402 is divided by 373. 315 What is the remainder when 11461 is divided by 5669? 123 What is the remainder when 19847 is divided by 19507? 340 Calculate the remainder when 24015 is divided by 11908. 199 What is the remainder when 4430 is divided by 26? 10 Calculate the remainder when 5539 is divided by 2762. 15 What is the remainder when 5315 is divided by 30? 5 What is the remainder when 578 is divided by 521? 57 What is the remainder when 2253 is divided by 89? 28
Let g(c) = 2*c**2 + 2*c + 1. Let o(q) be the third derivative of -q**4/24 + q**3/6 - 32*q**2 - 1. Give -g(m) - 2*o(m). -2*m**2 - 3 Suppose b - 12 = -3*b. Let i(z) = -z**2 + z - 1. Let u = -13 - -18. Let v(n) = 2*n**2 - 29 + 15 + 15 - u*n. What is b*i(h) + v(h)? -h**2 - 2*h - 2 Let g(c) = 540*c**2 + 15*c. Let q(w) = -270*w**2 - 9*w. What is 3*g(t) + 5*q(t)? 270*t**2 Let q(v) = v**2 + 2*v - 5. Let z be q(-5). Let x = -8 + z. Let j(r) = -1 - 5*r**2 - r**2 + 4*r**x - 2 + 2*r. Let m(w) = -1. Determine -j(d) + 3*m(d). 2*d**2 - 2*d Let m(u) = 6*u**3 + 184*u**2 - 6*u + 5. Let t(a) = -5*a**3 - 185*a**2 + 5*a - 4. Determine 4*m(q) + 5*t(q). -q**3 - 189*q**2 + q Let h(i) = -i**3 - i**2 + i - 1. Let q(a) = 166*a**3 - a + 176*a**3 + 2*a**2 + 0*a**2 - 1 + 0*a**2 - 335*a**3. What is h(v) + q(v)? 6*v**3 + v**2 - 2 Let y(i) = 17*i - 7. Suppose 32*w = -3*z + 33*w + 17, -5*z + 43 = 2*w. Let k(l) = -6*l + 2. What is z*k(a) + 2*y(a)? -8*a Let p(v) = -7*v**3 + 2*v**2 - 8*v + 4. Let g(b) = 20*b**3 - 6*b**2 + 22*b - 11. Give -4*g(n) - 11*p(n). -3*n**3 + 2*n**2 Let m(y) = 133*y**2 + 2*y - 4. Let a(g) = -11305*g**2 - 171*g + 342. Calculate 2*a(l) + 171*m(l). 133*l**2 Let j(r) = 3 + 3 - 3 - r. Let y(u) be the first derivative of -u**2 + 7*u + 1083. Give 10*j(w) - 4*y(w). -2*w + 2 Let x(y) = -1. Let n(h) = -h - 4. What is -n(g) - x(g)? g + 5 Suppose k + 1 = 3. Let v(z) = z + 4*z**2 + z - 3 - z**k. Let n(c) = 3*c**2 + 2*c - 2. Let l = -435 - -432. What is l*n(i) + 2*v(i)? -3*i**2 - 2*i Let o(c) = -5*c + 2. Let t = -1517 + 1519. Let h(z) = -6*z + 3. Determine t*h(w) - 3*o(w). 3*w Let z = -27 + 21. Let w(i) = i + 5. Let v be w(z). Let d(c) = 5*c - c + 3*c - 8*c**3 - 6*c**2 - 4. Let o(g) = -g**3 - g**2 + g - 1. Calculate v*d(t) + 6*o(t). 2*t**3 - t - 2 Let p(s) = -s**2 + 11*s - 6. Suppose 4*t = 9*t - 40. Let o be p(t). Let w(l) = -3 - 8*l + o*l - 16*l. Let y(r) = 5*r + 2. What is 2*w(j) + 3*y(j)? 3*j Let i be 4*(-5)/10 - 1. Let x(c) = 6*c**2 + 5*c. Let m(k) = -7*k**2 - 4*k. Give i*m(z) - 2*x(z). 9*z**2 + 2*z Let t(a) = -15*a - 3. Let m(f) = f - 1. Let x = -722 - -723. Determine x*t(b) - 3*m(b). -18*b Let c(j) = -167*j**3 - 11*j**2 + 6. Let d(r) = -164*r**3 - 13*r**2 + 7. Determine -7*c(p) + 6*d(p). 185*p**3 - p**2 Let i(l) = 10*l - 4. Let d(r) = 7*r - 3. What is 6*d(u) - 4*i(u)? 2*u - 2 Suppose -28 = f - 40. Suppose 0 = -16*u + 13*u + f. Let c(h) = -h. Let k(q) = 10*q. Give u*k(x) + 44*c(x). -4*x Suppose 4*q = 2*q + 6. Suppose -3*l - 4*c + 2 = -q*c, -l + 5*c = -22. Let j(z) = 3 + z - 3 - 1 + l. Let a(y) = 4*y + 1. Give a(m) - 2*j(m). 2*m - 1 Suppose -3*f + 8 = 5*d, 0 = -9*f + 8*f + d - 8. Let h(n) = -11*n**2 - 4*n - 4. Let r(l) = -330*l**2 - 121*l - 121. Determine f*r(t) + 121*h(t). -11*t**2 Let k(c) = -7*c - 6. Let b(w) = -20*w - 17. Let p(h) = 6*b(h) - 17*k(h). Let j be (5 + (-95)/15)/(1/3). Let m(g) = 5*g - 2. Give j*p(x) - m(x). -x + 2 Let i(z) = 81*z**3 + 3*z**2 - 5*z. Let u(q) = -163*q**3 - 5*q**2 + 8*q. What is 10*i(x) + 6*u(x)? -168*x**3 - 2*x Let q(d) = -9*d. Let y(a) = -a. Let c be -18 + 26 - (-4)/(-1). Determine c*y(t) - q(t). 5*t Suppose 2*o - 12 = -2*o. Let t(v) = -5*v**3 + v**2 + 3*v - 3. Suppose 9*k + 66 = 42*k. Let q(w) = 0*w - 2*w + 2 + 0*w**3 + 4*w**3. Determine k*t(a) + o*q(a). 2*a**3 + 2*a**2 Suppose 0 = -2*a, -2*v - 15 = -7*v - 4*a. Let f(x) = -7*x + 3. Let d(i) = 8*i - 4. Let b(t) = -t - 4. Let h be b(-8). Give h*f(n) + v*d(n). -4*n Let z(u) = -90*u**3 + 20*u**2 - 20. Let j(r) = r**2 - 1. Determine -20*j(m) + z(m). -90*m**3 Let x be 1*(-3 - -5) + 0 + 4. Let s(p) = p**2 + 5*p + 5. Let q(a) = -6*a - 6. Calculate x*s(f) + 5*q(f). 6*f**2 Let o(h) = -18*h**3 + 3*h**2 + 5*h. Let d(j) = 17*j**3 - 2*j**2 - 4*j. What is -5*d(k) - 4*o(k)? -13*k**3 - 2*k**2 Let c(v) = -v**2. Let r(q) be the third derivative of -2*q**5/15 - q**4/24 - q**3/6 - 2*q**2. What is -6*c(a) + r(a)? -2*a**2 - a - 1 Let y(i) = -9*i - 7. Let d(m) = 9*m + 6. Calculate -3*d(k) - 2*y(k). -9*k - 4 Let y(s) = -s**3 + 3*s - 1. Let c(h) = -h**3 - 2*h**2 + 8*h + 2. Calculate c(p) - 3*y(p). 2*p**3 - 2*p**2 - p + 5 Let z(q) = -3*q - 42. Let f(l) = -3*l - 1. Calculate 2*f(w) - z(w). -3*w + 40 Let x(r) = 5*r**2. Let t = 2 + 12. Let k(q) = 2*q**2 - 5*q + 4. Let u be k(3). Let s(m) = -u - m - 12 + 19 - t*m**2. Determine -3*s(o) - 8*x(o). 2*o**2 + 3*o Let h(r) = 4556*r. Let m(k) = -138*k. Determine -2*h(o) - 67*m(o). 134*o Let b(v) be the first derivative of v**2 - 5*v - 5. Let q(s) = -s + 4. Let n = -8 + -11. Let x = -23 - n. Give x*b(p) - 5*q(p). -3*p Let l(r) = -21575*r**3 - 200*r**2 + 200. Let g(d) = 322*d**3 + 3*d**2 - 3. Determine -200*g(z) - 3*l(z). 325*z**3 Suppose -f = 3 - 1. Let v(y) be the second derivative of -y**4/12 + y**3/6 - 3*y**2/2 + 85*y - 2. Let x(g) = g**2 - 2*g + 2. What is f*v(t) - 3*x(t)? -t**2 + 4*t Let m(g) be the third derivative of -g**4/12 + g**2. Let c = -315 - -319. Let y(n) = -3*n. Determine c*m(d) - 3*y(d). d Let v(q) = -3*q. Let a be ((0 - -3)*-1)/(-3). Let d(g) = g. Suppose -4*k + 3*z = -88, -2*k + 5*z + 2 = -42. Let i = k - 20. Give a*v(m) + i*d(m). -m Let r be ((-48)/(-18))/((-1)/3). Let m = 17 + r. Let f(q) = -2*q**3 - 4*q + 4. Let n(l) = 4*l**3 + 9*l - 9. Calculate m*f(x) + 4*n(x). -2*x**3 Let a(b) = 4*b**2 - 6*b + 7. Let c(r) = 27*r**2 + 21*r - 1. Let u(z) = 15*z**2 + 11*z. Let m(k) = 6*c(k) - 11*u(k). Determine 5*a(i) + 6*m(i). 2*i**2 - 1 Let v(r) be the third derivative of 0 + r**2 - r**3 + 0*r + 7/24*r**4. Let a(b) = 3*b + 1. Let o be a(2). Let y(g) = 8*g - 7. Calculate o*v(q) - 6*y(q). q Let u(r) = -7*r - 122. Let n(y) = 11*y + 182. Calculate 5*n(v) + 8*u(v). -v - 66 Let s(z) = -42*z**2 - 2*z + 7. Let q(b) = -28*b**2 - 2*b + 5. Calculate -7*q(x) + 5*s(x). -14*x**2 + 4*x Let t(o) = 3*o + 2. Let h(u) = -10*u - 258. Let j be h(-26). Let m(v) = -10*v - 5. Give j*m(q) + 7*t(q). q + 4 Let n(t) = -2*t**3 - 3*t**2 + 2*t - 3. Let m(c) be the first derivative of -2/3*c**3 - 1/2*c**4 + 17 + 1/2*c**2 - 2*c. Determine -3*m(b) + 2*n(b). 2*b**3 + b Let s = 5 - 3. Suppose 5*c + 6 = -4*w, 8 + s = -5*c. Let g(r) = 3*r - 7*r + 16 - 15 + 3*r. Let o(p) = -3*p + 5. Calculate w*o(l) - 4*g(l). l + 1 Let o(v) = -1. Let a(f) = f + 2. Let w(m) = a(m) + 3*o(m). Let l(b) be the second derivative of -b**3/6 + b**2 - 9*b. Let d = 20 - 23. Give d*l(g) - 5*w(g). -2*g - 1 Let c(t) = -2*t**3 - 46 + 23 - 3*t + 20. Let d(h) = -h - 1. Suppose -5*j + 18 = -f, 5 + 3 = 2*j. Give f*c(a) - 6*d(a). -4*a**3 Let z(q) = 10*q + 65. Let g(j) = -j - 6. Suppose 23*k - 16*k = 56. Let o be ((-108)/(-24))/((-6)/k). Give o*z(n) - 65*g(n). 5*n Let o(l) = 5*l + 5. Let i(n) = 10*n + 8. Calculate -3*i(r) + 5*o(r). -5*r + 1 Let q(f) = f**2. Let g(u) be the third derivative of -u**5/15 - u**4/24 - u**3/6 + 20*u**2. Suppose -5*d = -d + 4. Let b = 19 + -24. Calculate b*q(p) + d*g(p). -p**2 + p + 1 Let v(w) = -4*w - 2. Suppose 20*l + 20 = 10*l. Let b(j) = -9*j - 5. Give l*b(k) + 5*v(k). -2*k Let w(n) = -9*n - 1. Let z(b) = -11*b - 2. Let l(t) = -5*w(t) + 4*z(t). Suppose -4*x - 5 = -9. Let m(r) = r + 1. Give x*m(u) + l(u). 2*u - 2 Let k(q) = 1960*q**3 + 224*q**2 - 112*q + 112. Let v(p) = -53*p**3 - 6*p**2 + 3*p - 3. What is -3*k(w) - 112*v(w)? 56*w**3 Let j(i) = 3*i**2 + 23*i - 13. Let r(o) = o**2 + 8*o - 4. Calculate 4*j(y) - 13*r(y). -y**2 - 12*y Let x(w) = w. Let i be (-3)/(-2) + (7/2 - 0). Suppose i*m - 4 = 6. Let c(h) be the second derivative of -h**3/6 + h**2/2 - h. Determine m*c(u) + x(u). -u + 2 Let s(l) be the first derivative of -2*l**2 - l - 1. Let g(k) be the first derivative of -5*k**2/2 - 2*k - 228. What is 2*g(c) - 3*s(c)? 2*c - 1 Let g(s) = 5*s + 1. Let l(f) = 8. Let c(y) = y + 5. Let d(r) = 5*c(r) - 3*l(r). What is 6*d(h) - 5*g(h)? 5*h + 1 Let p(b) = -60*b**3 - 45*b**2 + 45. Let v(g) = -g**3 - g**2 + 1. Give -4*p(a) + 180*v(a). 60*a**3 Let s(h) = 89*h**3 + 9*h**2 + 6. Let i(y) = -y**3 - 3*y**2 - 2. Calculate 3*i(z) + s(z). 86*z**3 Let k(u) = 28*u + 18. Let q(f) = 5*f - 1. What is k(p) - 6*q(p)? -2*p + 24 Let d(x) = -105*x - 2. Let s(b) = 53*b + 1. Determine 4*d(q) + 9*s(q). 57*q + 1 Suppose -27*j - 7 = -20*j. Let u(h) = h. Let f(r) be the second derivative of 2*r**3/3 - r**2/2 - r. What is j*u(c) + f(c)? 3*c - 1 Let s(f) = -f**2 - f - 1. Let w(z) = 680*z**2 + 850*z + 850. Give 850*s(d) + w(d). -170*d**2 Let l(h) = 16. Let b(m) = -3. Let i(n) = -11*b(n) - 2*l(n). Let f(g) = 2*g + 4. Let a = 121 + -122. Suppose -12 = 11*j - 14*j. Calculate a*f(u) + j*i(u). -2*u
Suppose 4*s + 180 = -4*v, 8*s - 4*s = 2*v + 90. What is the common denominator of -151/30 and 2/(-3) + (-132)/v? 30 What is the least common multiple of 45 + (26 + -2)/8 and 48? 48 Let r = 36156 + -3579475/99. Find the common denominator of 65/108 and r. 1188 Suppose 0 = 4*p - 15 - 57. Let w be 109531/p - 1/2. Let x = -6093 + w. Find the common denominator of x and 87/2. 18 Calculate the common denominator of 66/120 + -1*1 and (36/(-80) - 0)/(12/88). 20 Suppose 0 = 5*w - q - 27, w - 24*q + 21*q = -3. What is the smallest common multiple of 1 and w? 6 Let n = 700294017/8032 + -87188. Let b = n + -228919/56224. Calculate the common denominator of -107/30 and b. 210 Suppose 2*m - 104 = -3*m + 4*x, -4*m = -5*x - 85. Calculate the least common multiple of 4 and m. 20 Let b = -42691 + 2732297/64. Calculate the common denominator of 25/16 and b. 64 Let c = 9 - 10. Let b = 17 - c. What is the lowest common multiple of b and 20? 180 Suppose 5*w + 4*y - 9 = 0, -34*w + 38*w + 4*y = 4. What is the common denominator of 151/84 and w? 84 Let x(l) = 53*l**2 - 10*l + 11. Let d be x(-7). Find the common denominator of 49/88 and ((-4)/(-3))/2 - d/(-780). 440 Let r = 16 - 1. Suppose q - 4*q = -r. Let n(c) = -2*c**2 + 41*c - 11. What is the smallest common multiple of n(20) and q? 45 Suppose -n - 3*m = -2*n - 6, -2*m + 32 = 4*n. Let q(g) = -11*g**3 - 2*g**2 + 5*g + 5. Calculate the lowest common multiple of n and q(-2). 150 Suppose -29*i + 20*i + 180 = 0. What is the smallest common multiple of i and 14? 140 Let l = -152426 - -315369400/2069. Let w = l + -60109/37242. Find the common denominator of -13/33 and w. 198 Let v = 24 - 18. Let p = 4 + v. Find the common denominator of -50*6/(288/p) and -5/16. 48 Let d be 16283/(-4) + (-3)/(-4). Let p = -1904 - d. Let k = p + -15122/7. What is the common denominator of 39/14 and k? 14 Let d(l) = 26*l + 21. Let a(c) = -9*c - 7. Let k(f) = -17*a(f) - 6*d(f). What is the least common multiple of k(-4) and 8? 40 Let t be ((-59299930)/780)/(3224518714/413757). Let y = t - -70/27687413. Let k = y - -4/757. Find the common denominator of k and 79/4. 4 Let h(n) = -4*n - 4. Let c be h(-2). Suppose z - 2*l = 4 + 34, 2*l = -c*z + 132. Suppose -r + 5*r = 64. Calculate the lowest common multiple of z and r. 272 Calculate the common denominator of 89/22 and 633/(-110) - 56/(-70). 22 What is the least common multiple of (-6)/33 - (3 + 167/(-11)) and 3? 12 Suppose -z + s = 0, -3*s - 6 = -8*z + 3*z. Suppose -z*g + 0*g = -27. What is the least common multiple of 8 and g? 72 Find the common denominator of 67/123 and (119/7 - -6)*(-2)/6. 123 Let u(f) = -7*f + 259. What is the smallest common multiple of u(15) and 176? 1232 What is the common denominator of -34/7 and ((-2)/(-6))/(6/246)? 21 Let f be 0 - 2895/(-6)*-1. Let i = f - -530. Find the common denominator of i and (455/(-42))/((-2)/(-6)). 2 Let f be (-15)/45 + 583/1110. Let o = f - -4/37. Let l = 57533/16 + -3592. Find the common denominator of l and o. 80 Suppose w - 2*w - 5 = 3*x, -5*x = 4*w - 1. Find the common denominator of -13/50 and w*9/(-12) - (-57)/120. 200 Let h be -4*1 + (-30518)/15806. Let x = -5/2258 - h. What is the common denominator of x and 91/22? 154 Let x be (1550/48)/(6/1448). Let r = -7786 + x. Calculate the common denominator of r and -35/6. 18 Let f = -121434/11 - -132970472/12045. What is the common denominator of -4 and f? 1095 Suppose -i + 2*x = -20, -7 = -5*i + 4*x + 63. Let t = 646 - 641. What is the smallest common multiple of i and t? 10 Suppose -2*v - 13 - 1 = d, -d = -4. Find the common denominator of 12/(-32)*166/v and -39/8. 24 Let d = -1860138313/48 + 38751497. Let g = d + 4135/3. Find the common denominator of 3/2*(-95)/(-195) and g. 208 Let f(z) = -z**3 - 16*z**2 - 4*z - 44. What is the smallest common multiple of f(-18) and 12? 2028 Let d = -589/90 + 17/18. Calculate the common denominator of (-665)/(-30) + -4 - 3 and d. 30 Let s = -442 - -538. What is the smallest common multiple of s and 24? 96 Calculate the lowest common multiple of 606 and (795/106)/((-5)/4 - -2). 3030 Let i(r) = r**2 + 8*r - 143. Calculate the lowest common multiple of i(-19) and 57. 1254 Let y(z) = 6*z + 186. Calculate the least common multiple of (-1 + 5)*(-6)/(-2) and y(-30). 12 Let u = 28229/34468 + 3/1231. What is the common denominator of 107/120 and u? 840 Calculate the common denominator of -63/142 and ((-1)/(-24))/((-3)/(-388)). 1278 Let u = -255 + 275. What is the lowest common multiple of 110 and u? 220 What is the common denominator of (-85)/9*(-66)/44 + 4 and 59/20? 60 Let d be (-24665)/(-10) + 1/2. Let r = d + -9795/4. Let z = 1551 - 6123/4. Calculate the common denominator of r and z. 4 Let g be 6 + (-36)/4 + 10329/14441. Let t = 2/2063 - g. Calculate the common denominator of -41/9 and t. 63 Let h = 34 + -16. Let c(j) = -j**3 - 9*j**2 - 7*j + 11. Let s be c(-8). Suppose -99 = -s*z - 3. What is the lowest common multiple of h and z? 288 Suppose -4*w + w + 75007 = 2*j, 3*j - 3*w - 112548 = 0. Let n = j - 2775859/74. Find the common denominator of n and 85/2. 74 Let q = 652753/4524312 + -2/43503. Find the common denominator of q and 25/286. 1144 Let b be (2 - (4 + -71)) + -1. What is the least common multiple of b/(-17) - -1*11 and 5? 35 Let y(q) = 69*q**2 + q. Let k be y(-1). Suppose 7*g - k = 58. Calculate the least common multiple of g and 2. 18 Let y be (-12)/(-28) - (2 - 3511700/924). Let g = -3801 + y. Find the common denominator of g and -77/30. 330 Suppose 12 = -2*z - 20. What is the least common multiple of 18 and (126/(-24))/(6/z)? 126 Suppose -10*n = -14 - 126. Suppose -2*l - 5 + 15 = 0. Suppose 3*c = c - 2*a + 32, l*a + 20 = 0. What is the lowest common multiple of c and n? 140 Suppose 7*s + p - 13 = 2*s, -5*s + 3*p + 1 = 0. Suppose 2*j + 2*c = -52, -s*c = 4 - 10. Let r = -2159/5 - -426. What is the common denominator of r and j? 5 Calculate the least common multiple of 6 and ((-5)/(-20)*22)/((-1)/(-6)). 66 Suppose -10*w - 19*w + 1740 = 0. Calculate the least common multiple of 40 and w. 120 Find the common denominator of -2 - 1 - -1*(-436)/24 and (258/(-33))/(3 + -5). 66 Let p = -66566463/2863850 - -11844/3175. Let n = p + 910/41. Let c = -2/35745 + 917467/214470. Find the common denominator of c and n. 198 Calculate the smallest common multiple of 20 and 1890/80 - (-3)/8. 120 Let h(v) = 24*v - 588. Calculate the least common multiple of 24 and h(27). 120 Suppose -85*v + 112 = -69*v. Let m = 1 - 1. Suppose 5*d = -m + 25. What is the lowest common multiple of d and v? 35 Let f = 1395879/46 - 30344. What is the common denominator of f and 11/14? 322 Suppose -3*s + 29 = -j, -2*s = j - 2*j - 19. Calculate the smallest common multiple of s and ((5 - 3)/(-1))/((-4)/44). 110 Let f = -2 - 1. What is the common denominator of ((-1)/f)/(35/(-42)) and (-3)/(-9) - (-230)/(-24)? 20 Let u = 3119/110 - 423/11. Let n = -4037/12 + 1263/4. Find the common denominator of u and n. 30 Let l(i) = i**3 + 10*i**2 - 11*i + 3. Let a be l(-11). Calculate the common denominator of a - 81*((-3)/2 + 2) and -75/2. 2 Let p = 330 - 316. Calculate the lowest common multiple of p and 60. 420 Calculate the common denominator of (-139)/33 + (-1)/3 - -3 and 287/(-30) + (-8)/24. 110 Suppose -2*o - 92 = 4*d, 5*d + o + 114 = -o. Let h = 6 + d. Let z = -8 - h. What is the lowest common multiple of 6 and z? 24 Suppose 216 = -32*m + 28*m. Let o = -81 - m. Let a = o + 28. What is the least common multiple of 7 and a? 7 Let k = 64 - 59. Let j(c) = 4*c - 2. Calculate the least common multiple of k and j(2). 30 Calculate the lowest common multiple of 6*(0 - 55/(-30)) and 127. 1397 Suppose -3*k - 3*o = -o - 24, 0 = 4*o. Let m be 1/((2/(-4))/((-330)/20)). Suppose 39 = 2*w + m. Calculate the smallest common multiple of k and w. 24 Suppose 2*o = 3*o - 4. Suppose 21 = -j + t, o*j + 0*t = -2*t - 84. What is the least common multiple of ((-28)/j)/((-4)/(-42)) and 14? 14 Suppose m - 19 + 24 = 0. Calculate the lowest common multiple of 24 and (m/(-3))/((-2)/(-18)). 120 Let l = -48 + 33. Let b be (-2)/8 - l/(-4). Find the common denominator of (-10)/b*(-19)/(-2) and 35/22. 44 Let r = 7/226 - -5735/904. Find the common denominator of r and 77/1262. 5048 Let k = -113 + 585. What is the common denominator of -75/22 and k/(-40)*(-2)/(-4)? 110 Let j = 86/51 + -439/714. Let u be (4/(-104))/(-984 + 2). Let m = u + 676587/280852. Find the common denominator of m and j. 154