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ctor of u and 35. 5 Let x be (-2 + 1 - -3) + 18. Suppose -148 + 768 = x*y. Calculate the highest common factor of y and 341. 31 Let f(v) = v**3 + 19*v**2 + 34*v - 4. Let u be f(-17). Let b be (-1*9)/((-22)/u + -7). Calculate the greatest common divisor of 20 and b. 2 Let l be (-2)/15 - (-6235)/75. Let m = 111 - l. What is the highest common divisor of 252 and m? 28 Let s be 46/10 - (-22)/55. Suppose -s*a = -3*a + 2*z - 22, 2*a - 17 = 3*z. Let c be (-10)/25 + 124/a. What is the highest common divisor of c and 30? 6 Suppose t + 104 = 106. Suppose 156 = l - d + 54, -4*d = t*l - 198. Calculate the highest common factor of 404 and l. 101 Let o be ((-10)/24)/((-470)/(-752)) + (-344)/(-3). Calculate the highest common divisor of o and 10146. 114 Let g be 1*4*(-9)/108*-447 - -6. Calculate the greatest common factor of g and 3007. 31 Let r(y) = y**2 - 28*y + 23. Let d(b) = 2*b - 4. Let p be d(21). Let n be r(p). What is the greatest common divisor of n and 93? 31 Suppose b - 5*j + 3*j = -22, 0 = b + 3*j + 37. Let a be (-70)/b - (-876)/8. Let r = -71 - -103. What is the highest common divisor of r and a? 16 Let r be ((-44)/32 - -1)/(1/(-8)). Suppose 4*q - 19 = r*q. Let t(w) = 7*w**3 - 5*w**2 + 3*w - 1. Let y be t(3). Calculate the highest common factor of q and y. 19 Let f(h) = 1283*h + 77. Let x be f(0). Let w(p) = 78*p**2 - p - 2. Let c be w(2). Calculate the highest common divisor of x and c. 77 Suppose -7*d = -2 - 12. Suppose 5*y - 1 = d*n, 11 = 4*n + 2*y + y. Suppose 0 = n*z - 18. Calculate the greatest common factor of z and 63. 9 Let q = 147 + -117. Suppose -11*w - 109 = -12*w - 2*t, -4*w + 4*t + 412 = 0. Calculate the greatest common factor of w and q. 15 Suppose 789 = 17*w - 3852. Suppose -5*a + 35 = -0*a. What is the highest common factor of a and w? 7 Let h be 17388/(-162)*12/(-7). What is the highest common divisor of h and 2300? 92 Let o be (1522 - (-1 - -2))/(154 + -153). What is the greatest common divisor of o and 1287? 117 Let r = 12 - -3. Let g(c) = -17*c + 66. Let n be g(-11). Let a = -88 + n. Calculate the highest common factor of a and r. 15 Let p be -5 + (-7 - -163)/13 + 2247. Calculate the highest common factor of 343 and p. 49 Suppose -3*a - 38 = 5*v + 78, -5*v + 136 = -3*a. Let u = a + 60. Let c(r) = r**2 - 16*r + 6. Let s be c(-8). What is the highest common divisor of u and s? 18 Let w(m) = 5*m**2 - 3*m - 10. Let o be w(-7). Suppose -i + 15 = q, -173*i + 175*i - q - 33 = 0. What is the greatest common factor of o and i? 16 Let f be 2/7 - (-2232)/(-21). Let m be (1 - 112) + (3 - 3 - -4) - 2. Let y = f - m. What is the highest common divisor of 51 and y? 3 Suppose 3*i - 2*j - 27 = 0, -2*i - 2*i + 36 = -3*j. What is the highest common factor of i and 2637? 9 Suppose -3*o + 15 = 0, -14*o - 2302 = -4*a - 16*o. Suppose 38 = 574*c - a*c. Calculate the highest common factor of c and 209. 19 Let s = 67 - 65. Suppose s*x - 277 + 17 = -4*u, 0 = -5*u + 2*x + 307. What is the greatest common divisor of u and 126? 63 Let h be 145*(51/(-15) + 3). Let x = h - -59. Suppose 2*r - x = r, 3*r = 3*u - 57. What is the highest common divisor of 220 and u? 20 Suppose m - 1 = 0, -w + 2*m + 10 = 2*w. Suppose 806 = 4*c + 2*g - w*g, 0 = 4*c - 3*g - 809. Calculate the greatest common factor of c and 20. 20 Suppose 65*c - 50*c - 75 = 0. Suppose -9*x + 260 = -c*x. What is the greatest common factor of x and 5? 5 Let l be 795/(-10)*(-8)/12. Suppose 22*t - 1021 + l = 0. Calculate the highest common factor of 88 and t. 44 Suppose 0 = 16*z - 5*z + 10846. Let s = -923 - z. What is the greatest common factor of s and 45? 9 Let q(m) = -m**3 - m**2 - m - 2. Let h be 6*(4/6)/(-2). Let p be q(h). Let y be 11 + 1 + -60 + 56. Calculate the greatest common factor of p and y. 4 Let c be 13/(-15)*3 - 2/5. Let z be c + (-28 - 2) - -1. Let d = -23 - z. What is the highest common factor of d and 18? 9 Suppose 4*d = -d + 75. Suppose -5*a + 5*s - d = 5, a = -2*s + 8. Suppose 189 = 3*x - a*x. What is the greatest common factor of x and 7? 7 Let i(p) = 13*p - 3. Let o be i(3). Let m = 207 - 117. Let c = m - o. Calculate the greatest common divisor of 135 and c. 27 Suppose -1730 = -b + 4*o, 1725 = 6*b - 5*b - 3*o. What is the greatest common factor of b and 105? 15 Let z(a) = a - 18. Let w be z(5). Let l be (-1244)/26 + (8/w)/4. Let n = 52 + l. Calculate the greatest common factor of 32 and n. 4 Let l(j) = -3*j + 27. Let t be l(-10). Let h be 1 + (-6)/8 + t/12. Suppose 0 = b - h*f - 85, 8 = -4*f - 0. Calculate the highest common divisor of b and 15. 15 Suppose -4*k + 2600 + 25 = 17*k. What is the highest common divisor of k and 1000? 125 Suppose -3*i - 354 = -9*i. Suppose m - 3*d - i = 0, 4*m - 7*d = -2*d + 271. Calculate the greatest common divisor of 481 and m. 37 Let l(j) = -22*j**2 - 14*j - 1. Let c be l(-4). Let f be 54/c - 2556/(-22). What is the greatest common factor of f and 29? 29 Let a(i) = 79*i**3 + 25*i**2 - 12. Let h be a(2). What is the greatest common divisor of h and 252? 36 Let t = 504 + -453. Suppose 3*k = 2*k - 3, 3*o - 1365 = -4*k. What is the greatest common divisor of t and o? 51 Let x(t) = t - 2. Let c be x(10). Suppose 4*k - k = -6, -z - 4*k + 54 = 0. What is the highest common divisor of c and z? 2 Let u(o) = o**2 + 11*o - 22. Let h be u(11). Let r = -841 - -861. What is the highest common divisor of h and r? 20 Let j be (36/(-20))/((-17)/21845 + 0). Calculate the greatest common divisor of 36 and j. 9 Suppose -276 = -25*b + 424. What is the highest common factor of b and 3752? 28 Suppose 0 = -53*s + 58*s + 600. Let m = 224 + s. Let w = 160 - m. What is the highest common divisor of 28 and w? 28 Let t(m) = -m**3 + 9*m**2 - 9*m + 28. Let o be (-31)/(-248) - 63/(-8). Let b be t(o). What is the greatest common divisor of 340 and b? 20 Let g(b) = -2*b**2 + 123*b + 404. Let y be g(64). What is the greatest common divisor of y and 1974? 42 Let s(b) = 2*b + 14. Let n be s(-6). Suppose 0 = n*z - 4*z + 200. Suppose -j - 4*j = -z. Calculate the greatest common factor of 5 and j. 5 Suppose -3*q + 13246 = u + 834, -3*u + 4140 = q. Calculate the greatest common factor of q and 6. 3 Suppose 393*p = 3845 + 871. What is the highest common factor of p and 1434? 6 Let c be (84/(-49))/((-9)/1722). What is the highest common factor of c and 24? 8 Let g(x) = 115*x**2 - 12*x - 37. Let m be g(4). Calculate the highest common divisor of m and 78. 39 Let s be (-14 - (-1824)/72 - 5/(-3)) + -4. Let c = -492 + 780. What is the highest common divisor of s and c? 9 Let h be ((-140505)/34)/(1/(16/(-12))). What is the greatest common factor of 145 and h? 145 Suppose 3*j - 5*u = 1823, -3045 = 2*j - 7*j + 5*u. Let t = j - 546. Calculate the greatest common factor of t and 25. 5 Let o be (-60)/(-14) + 2/(-7). Let d = 6 + o. Suppose 224*u + 2160 = 278*u. What is the highest common factor of u and d? 10 Let v = -109 - -103. Let o(l) = -2*l**3 - 12*l**2 - 5*l + 2. Let g be o(v). Suppose 5*k + 0*k - 1440 = 0. Calculate the highest common divisor of g and k. 32 Let t(w) = 4*w**3 + 10*w**2 - 6*w + 9. Let q be t(-5). Let i = 36 - q. Calculate the greatest common factor of i and 39. 13 Let j be ((-10)/(-30))/(2/30). Suppose 2*n = -2*o + 5*n + 8, 2*o + 24 = -5*n. Let z be o/((-12)/75)*2. Calculate the greatest common divisor of j and z. 5 Suppose 15*o = -25*o + 6800. Let l be (2 - (1 - 1)) + 38. What is the greatest common factor of l and o? 10 Let p = 12915 + -12325. What is the highest common factor of 20 and p? 10 Suppose -2*h + f = 330 + 21, 5*f = -15*h - 2545. Let b = -92 + 28. Let o = b - h. Calculate the greatest common divisor of 12 and o. 12 Let t(y) = 16*y + 11*y**2 - 5*y - 14 - 23*y - 21*y + y**3. Let n = -35 + 22. Let k be t(n). What is the greatest common factor of k and 7? 7 Let r be (-240)/(-3000) + (-4948)/(-25). Calculate the greatest common divisor of 243 and r. 9 Suppose 255 = 7*z - 2*z. Suppose -3*m + 2*q + 61 = 0, m - 3*q - 30 - 2 = 0. Calculate the highest common factor of m and z. 17 Let o be (2 + 0/(-6))/(-2 + 3). Suppose 474 = 4*l - 2*m, 2*m + o*m + 585 = 5*l. Calculate the greatest common divisor of l and 11. 11 Let g be (26640/(-540))/(2/(-15)). What is the highest common factor of g and 110? 10 Let n(s) = 14*s**2 - 67*s - 100. Let a(z) = -3*z**2 + 17*z + 25. Let h(
{ "pile_set_name": "DM Mathematics" }
3)/(sqrt(11) - sqrt(176)*-2). 2*sqrt(17)/3 + 7 Simplify (2 + 3*(-2 + 2 + 0 + sqrt(612)))**2. 72*sqrt(17) + 5512 Simplify 6*(-5 + sqrt(833) + -2 + 3*sqrt(833))**2*-6. -481572 + 14112*sqrt(17) Simplify 0 + ((sqrt(242)*2 + sqrt(242))*-2)**2 + 3 + -1 + sqrt(242) + 1. 11*sqrt(2) + 8715 Simplify (sqrt(64)*-1 - sqrt(16))/(sqrt(8) - sqrt(8)*-1*-3)*5 + -1. -1 + 15*sqrt(2)/2 Simplify (sqrt(168)/(sqrt(18)/sqrt(3)) + sqrt(28) + sqrt(28))/sqrt(4) + (sqrt(567) - 3*(sqrt(567) + sqrt(567)*-1)). 12*sqrt(7) Simplify -4*(3*6*sqrt(512) + (0 + sqrt(32) + 1)*3)**2. -720036 - 7200*sqrt(2) Simplify ((2 + (sqrt(77) + (2*sqrt(77) - sqrt(77))*-6)/sqrt(7))*-1)**2*-1. -279 + 20*sqrt(11) Simplify ((-6*-1*sqrt(84))/sqrt(4))/((sqrt(33) + sqrt(363)/sqrt(99))/sqrt(11)). 9*sqrt(7)/2 Simplify -4 + -6*((sqrt(108)*1 - sqrt(108))/sqrt(4) + sqrt(297)/(sqrt(33)/sqrt(3)))**2. -166 Simplify (sqrt(612) - (-1 + -1*sqrt(612))) + -2*(sqrt(612) + 2) + -3 + ((-2 + sqrt(612))*6)**2. -864*sqrt(17) + 22170 Simplify (-5 + -3 + 0 + 2*sqrt(1539) + sqrt(1539) + 3)**2*-4. -55504 + 1080*sqrt(19) Simplify sqrt(2736) + 0 + sqrt(2736) + -1 + sqrt(2736) - sqrt(2736) - (-3 + (sqrt(57)/sqrt(3) + 0)**2). -17 + 24*sqrt(19) Simplify ((2*(sqrt(68) - sqrt(68)*-1 - sqrt(68)) + sqrt(68) + sqrt(68))/(sqrt(16)/sqrt(324)))**2. 22032 Simplify ((-4*sqrt(48))**2 - (sqrt(3) - (2*(sqrt(3)*2 - sqrt(3))**2 + sqrt(3)))) + 1. 775 Simplify -2 + sqrt(14)/sqrt(2) + sqrt(7) + sqrt(7) + sqrt(567)/sqrt(9) - (-2*sqrt(252)/sqrt(4))/((sqrt(36) - sqrt(36)*2)/sqrt(4)). -2 + 4*sqrt(7) Simplify -2 + 2*sqrt(38)/sqrt(8) + (5*-2*sqrt(1900) - (sqrt(1900) + sqrt(1900) + sqrt(1900) + sqrt(1900)*1 + 5))**2. 1401*sqrt(19) + 372423 Simplify 3*(-4 + 0 + sqrt(425))**2 + ((sqrt(68)/(sqrt(8)/sqrt(2)) + sqrt(17))*-2)**2*-5. -120*sqrt(17) - 37 Simplify (sqrt(468)*1)**2 + (1 + sqrt(13))**2 + 4 + -5*sqrt(65)/sqrt(80). 3*sqrt(13)/4 + 486 Simplify (3 + 1 + -6*(2*sqrt(13) + sqrt(13)))**2*-2. -8456 + 288*sqrt(13) Simplify (-2 + 2 + sqrt(76) + sqrt(76) + (sqrt(76) - (sqrt(76) + -1))*-2 + -5)**2. -56*sqrt(19) + 353 Simplify -5 + (sqrt(19) - sqrt(76)/sqrt(4)*5 - (sqrt(171) - 1*sqrt(171))/sqrt(9))**2 + 5. 304 Simplify ((sqrt(475) + sqrt(475) + -1)*-5 - sqrt(475) - (sqrt(475) + -4 + sqrt(475) + -2 + sqrt(475)))**2. -1540*sqrt(19) + 93221 Simplify (4 + ((sqrt(70)*1 + sqrt(70))*-6)/(sqrt(90)*2))**2. -16*sqrt(7) + 44 Simplify (sqrt(56) + 1*sqrt(56))/(5*(sqrt(8)/sqrt(4) + sqrt(2))). 2*sqrt(7)/5 Simplify ((0 + sqrt(1539) + sqrt(1539) + 0 + sqrt(1539))*-6 + -4*5*(sqrt(1539) + 1))**2. 13680*sqrt(19) + 2222716 Simplify (sqrt(38)/sqrt(2)*-5 + sqrt(19) + -2)**2 + (sqrt(57)/sqrt(3) + -5 + -3)**2. 391 Simplify -2 + -1*(0 + sqrt(1053) + -2*sqrt(1053)*3) + 2. 45*sqrt(13) Simplify (-2*((0 + sqrt(320))*-1 + -3))**2*-4. -5264 - 768*sqrt(5) Simplify ((sqrt(125)*-2 + 5)*3 + 2)**2. -1020*sqrt(5) + 4789 Simplify 2 + ((-5*4*(sqrt(252) - -1*sqrt(252)))**2 - ((sqrt(252) - (sqrt(252)*-1 - sqrt(252))*5)**2 + sqrt(252) + (1 + sqrt(252) + 1)**2)). -30*sqrt(7) + 372454 Simplify 5 + 3*((-2 + sqrt(147))*4)**2 + -3. -1344*sqrt(3) + 7250 Simplify (sqrt(17) + -5*sqrt(17)*2 + sqrt(17))**2*-6 + sqrt(102)/(sqrt(162)/sqrt(3) - sqrt(6)). -6528 + sqrt(17)/2 Simplify 3 + sqrt(1053) + 1 + (sqrt(1573) + 5)**2 + 2. 119*sqrt(13) + 1604 Simplify sqrt(1216) + -3 + 1 - ((sqrt(95) + sqrt(95)*-2 - sqrt(95))/sqrt(5) - (sqrt(95)/sqrt(5) + 5)**2). 42 + 20*sqrt(19) Simplify (sqrt(55) + (sqrt(55)*1 + sqrt(55))*2)/sqrt(5) - (-3*-2*sqrt(99) - sqrt(99))/sqrt(9). 0 Simplify 1 + (-3 + -1*sqrt(1053) - ((sqrt(26)/sqrt(2))**2*3 + -2*sqrt(13) + 5)). -46 - 7*sqrt(13) Simplify ((-1*(sqrt(84) + (sqrt(84) - -4*sqrt(84) - sqrt(84)))*2)/(5*sqrt(1728)*3))**2. 7/324 Simplify ((-5*sqrt(252)*-1 + sqrt(252))/(sqrt(28)/(sqrt(28)/sqrt(4)*-6)))**2. 81648 Simplify ((sqrt(176)*-2*1)**2 - (-1*sqrt(176) + sqrt(176) + -1)**2) + 2. 705 Simplify (3*(sqrt(500) - (sqrt(500) + sqrt(500)*1)) - (0 + sqrt(720) + 5)**2) + 2. -743 - 150*sqrt(5) Simplify (sqrt(33)/(sqrt(3)*-1) - sqrt(396)*-2) + (sqrt(792) + -4*sqrt(792))/sqrt(2). -7*sqrt(11) Simplify (-4*(sqrt(1573) + 1) + (sqrt(1573) - (sqrt(1573)*1 + -5)) - (1 + ((sqrt(1573) - -1*sqrt(1573)) + 4 + sqrt(1573) - sqrt(1573))))**2. 528*sqrt(13) + 56644 Simplify sqrt(612) + sqrt(612)*-1*-1 + -3 + (-4*(sqrt(34)/sqrt(2)*-3 + 2))**2. -180*sqrt(17) + 2509 Simplify 1 + (sqrt(33) + sqrt(165)/sqrt(180))/(6*(sqrt(396) + sqrt(11) - sqrt(11))). 7*sqrt(3)/216 + 1 Simplify (sqrt(968) - (sqrt(968) + 2*sqrt(968) - sqrt(968)))/((sqrt(168)/sqrt(7))/sqrt(6)). -11*sqrt(2) Simplify ((-5*(sqrt(70) + (sqrt(70) - sqrt(70)*1) - sqrt(70)) - sqrt(70))/(-1*sqrt(640) + sqrt(640) + sqrt(640)))**2 - (-5 + (sqrt(847) + -5 + sqrt(847)*2)**2). -489145/64 + 330*sqrt(7) Simplify sqrt(12)/sqrt(4)*-4 + 4 - (sqrt(24)/sqrt(128) + (sqrt(48)/sqrt(2))/sqrt(8)). -21*sqrt(3)/4 + 4 Simplify ((sqrt(132) + sqrt(132)*1 + sqrt(132))*6)/(-2*sqrt(1728) - sqrt(1728))*4. -2*sqrt(11) Simplify ((sqrt(70) - sqrt(70)*1)*5 + sqrt(70) + sqrt(70) + (sqrt(70) - (-1*sqrt(70)*-5 + sqrt(70))))/((sqrt(10) - sqrt(160))*6*-3). -sqrt(7)/18 Simplify ((sqrt(14)/sqrt(2))**2 + -3 - sqrt(7) - (-5 + sqrt(28)) - (1 + sqrt(49)/sqrt(28))**2) + 1. -4*sqrt(7) + 29/4 Simplify 5 + ((sqrt(468)*2 + sqrt(468))*-6 + sqrt(468) + 2 + 2)**2. -816*sqrt(13) + 135273 Simplify (4*((sqrt(156) - 2*sqrt(156))/sqrt(6) + sqrt(26)))/(sqrt(288) + -1*sqrt(288) + sqrt(288) + sqrt(18)/(sqrt(9)*-1)). 0 Simplify -2*(sqrt(2299) + 2*(sqrt(2299) - sqrt(2299)*-1) + 2). -110*sqrt(19) - 4 Simplify 5 + 3*((sqrt(162)*1)**2 + 3*((sqrt(2) - (-3*sqrt(2) + sqrt(2))) + sqrt(2))**2). 779 Simplify (((sqrt(84) - (-4*-2*sqrt(84) + sqrt(84)) - sqrt(84)) + sqrt(84) + sqrt(84))*4)/(sqrt(192)*3*1). -7*sqrt(7)/3 Simplify (4*-1*sqrt(7488))/(sqrt(24)/((sqrt(72) - (sqrt(72) - sqrt(72)*2))/sqrt(12))). -96*sqrt(13) Simplify ((2 + -2*sqrt(13))**2 + sqrt(143)/(sqrt(33)/sqrt(3)) - (sqrt(13) + sqrt(26)/sqrt(2) + 0 + -4)**2) + -5. -17 + 9*sqrt(13) Simplify sqrt(57)/(sqrt(18)/sqrt(216)) + (sqrt(1216) + sqrt(1216) + 1 + 3)**2. 134*sqrt(19) + 4880 Simplify (2 + (sqrt(34)/sqrt(2))**2)*-4 + sqrt(153)/(1*sqrt(9)*4). -76 + sqrt(17)/4 Simplify 1 + (3*sqrt(432)*-5)/(6*(sqrt(108)/sqrt(192) - sqrt(9))). 1 + 40*sqrt(3)/3 Simplify ((sqrt(539) - (0 + sqrt(539)*-1 + sqrt(539))) + sqrt(539) + sqrt(539))**2*2 - -2*(sqrt(539)*-1)**2*-2. 7546 Simplify -2*(((sqrt(272) + 2*sqrt(272) + sqrt(272) - sqrt(272)) + -1)**2 + -5*(sqrt(17)*1 + -2)**2). -4688 + 8*sqrt(17) Simplify ((3 + (sqrt(85) - ((-2*sqrt(85) - sqrt(85)) + sqrt(85)))/sqrt(5) + -6*(-1 + sqrt(612)))*6)**2. -21384*sqrt(17) + 669384 Simplify (-2*(-4*sqrt(468) + 5 + (0 + sqrt(13) + sqrt(13) + sqrt(13))*2 + sqrt(325)*2))**2. -320*sqrt(13) + 3428 Simplify ((sqrt(6) - (sqrt(6) - (sqrt(294)*1 + sqrt(6)))) + sqrt(6) + -6*sqrt(24))/(sqrt(24)/(2*sqrt(12)*6)). -36*sqrt(3) Simplify ((sqrt(1323) - sqrt(1323)*2)*6)/((sqrt(63) - 2*sqrt(63))/sqrt(7) - 2*sqrt(441)). 14*sqrt(3)/5 Simplify (-4 + (sqrt(14) - sqrt(168)/sqrt(3) - sqrt(14))/sqrt(7) + (sqrt(180)/(-1*sqrt(9)))/sqrt(10))**2*2. 48*sqrt(2) + 68 Simplify -1 + (sqrt(243) - (1*sqrt(243))**2) + 0 + (2*sqrt(243) - sqrt(243)) - ((-1 + sqrt(243))**2 + 4 - sqrt(243)*1*-2). -492 + 18*sqrt(3) Simplify (-2*(sqrt(40)/sqrt(2)*4)/(sqrt(20)/(sqrt(25)/sqrt(5))))**2. 320 Simplify (1 + (sqrt(637) + 1 - (-3 + sqrt(117)) - 2*sqrt(208)*6))**2. -440*sqrt(13) + 25193 Simplify (4*(sqrt(162)*2 + 2 + -5*(-1 + sqrt(162)) - (-1 + -3*(sqrt(162) + sqrt(162)*-2))))**2. -13824*sqrt(2) + 94336 Simplify -5 + (-2 + sqrt(363))**2 + (3*sqrt(15)/sqrt(5) + 0)**2. -44*sqrt(3) + 389 Simplify 4 + (sqrt(5) - ((sqrt(5) + 1)**2 + -3)) + (-6*(sqrt(5) + -1))**2. -73*sqrt(5) + 217 Simplify 5*-4*(sqrt(931) + -1 + 2)*-4. 80 + 560*sqrt(19) Simplify (2*(-2*(2*sqrt(175) + sqrt(175)) - (4 + sqrt(175) + (sqrt(175) - (sqrt(175) + 1 + sqrt(175))) + sqrt(175))))**2. 840*sqrt(7) + 34336 Simplify (sqrt(55)/(1*sqrt(30)/sqrt(6)))**2 + (3 + 1 + sqrt(11))**2*3. 24*sqrt(11) + 92 Simplify (sqrt(98) + sqrt(98) + -2*sqrt(98) + sqrt(98))**2 + 0 + (-1*sqrt(198))/sqrt(11) + 4 + 3. -3*sqrt(2) + 105 Simplify (sqrt(2112) + sqrt(2112) + sqrt(2112)*-1 - sqrt(33))/(sqrt(11)*-3*-6). 7*sqrt(3)/18 Simplify sqrt(132)/(sqrt(66)/(sqrt(6) + 3*sqrt(6))) + 3. 3 + 8*sqrt(3) Simplify 4 + (1*(1*sqrt(187) - sqrt(187)))/(sqrt(176)*2 + sqrt(11)) + -
{ "pile_set_name": "DM Mathematics" }
2*g + 6 = 3*g. Suppose 2*k + k + i = -19, 2*k - i + g = 0. Let y = -3 - k. Give d(y). 4 Suppose v + 2*v = 15. Let c(j) = 2*j - 3. Determine c(v). 7 Let w(s) = 3*s - 2*s + 2*s - s + 6. Calculate w(5). 16 Let c be 4/(-3)*(-3)/2. Let z(g) = -5*g - 3 + g**c - 2*g**2 - 2. What is z(-4)? -1 Let m(k) = 4*k + k - k - 3*k + 4. What is m(-5)? -1 Let x(j) be the third derivative of -j**9/30240 - j**5/12 - j**2. Let l(r) be the third derivative of x(r). Calculate l(1). -2 Let m(x) be the third derivative of -x**6/120 + x**4/24 - x**3/3 - 29*x**2. Suppose o + 3*o = 0. What is m(o)? -2 Let b(g) = -g**3 + 7*g**2 - 4*g - 6. Let h be b(6). Let l(y) = -h*y**2 - 3*y + 3 - 5*y + 5*y**2 + 4*y. Give l(-5). -2 Let y(l) be the second derivative of -l**4/6 - l**3 - 2*l**2 + 2*l. Suppose 3*p = -p - 16. Calculate y(p). -12 Let y(t) be the first derivative of t**4/4 + 4*t**3/3 + t**2 - t - 28. Suppose -3*q = -6*q - 12. Calculate y(q). -9 Let o(f) = 7*f**3 - 3*f**2 + 4*f - 3. Let c(d) = -11*d**3 + 4*d**2 - 6*d + 4. Let x(p) = p**2 + 2*p - 7. Let a be x(-5). Let n(y) = a*o(y) + 5*c(y). Give n(4). 4 Let z(x) = x**2 - 7*x + 6. Let a(v) = v**2 - 2*v - 1. Let q be a(4). Let w = q - 3. What is z(w)? -6 Let f(a) = a + 5. Let k(v) = v - 14. Let y(w) = w**3 + 6*w**2 + 6*w + 2. Let l(n) = n**2 + 6*n + 4. Let m be l(-4). Let h be y(m). Let g be k(h). Give f(g). 1 Let g(d) be the second derivative of d**5/5 + 37*d. What is g(-1)? -4 Suppose -4*g - 4*k = 5 - 49, 3*g - 4*k + 2 = 0. Let i(u) = 3*u + 7. Let d(a) = 10*a + 22. Let l(v) = -2*d(v) + 7*i(v). Give l(g). 11 Let k(u) = -3*u**2 - 2*u. Let s(w) be the third derivative of -w**5/30 - w**4/24 - 3*w**2. Let q(z) = -3*k(z) + 5*s(z). What is q(3)? -6 Let g be (-6)/4*4/3. Let z(b) be the third derivative of 1/3*b**3 + 2*b**2 - 1/30*b**5 + 0 + 0*b**4 + 0*b. Calculate z(g). -6 Let s = -1 + 3. Let g(t) = -t + 1. Let c(u) = -u + 2. Let k(q) = -c(q) + 5*g(q). Calculate k(s). -5 Let k(v) = v**2 - 5*v - 10. Let d be k(7). Suppose 0 = d*i - i + 12. Let m(f) = -2*f. Calculate m(i). 8 Let n(q) be the second derivative of -q**7/840 - q**6/72 + q**5/20 - q**4/6 - 4*q**3/3 + 4*q. Let w(r) be the second derivative of n(r). Calculate w(-6). -4 Let q(l) = -l**3 + 4*l**2 + 2*l - 1. Suppose 3*b - 10 = 2*j - j, 2*j + 4 = -2*b. Determine q(b). 11 Let w = 2 - 0. Let f be w - 5/((-15)/6). Suppose -2*o = -f - 4. Let a(s) = s**3 - 4*s**2 - s - 2. Calculate a(o). -6 Let i = 15 - 10. Let j = 0 + i. Let l(y) = -y**2 + 6*y. Determine l(j). 5 Let u(o) = -o**2 - 3*o - 2. Let z = 168 + -171. Determine u(z). -2 Suppose w + 15 = 6*w, 2*w - 9 = -3*x. Let g(y) = 10*y**2 + 1. Determine g(x). 11 Let i(r) be the second derivative of r**5/60 - r**4/8 - r**3/2 + r**2/2 - r. Let p(w) be the first derivative of i(w). Calculate p(-2). 7 Let i(g) = 5*g - 1. Let k(j) = -5*j + 1. Let r(n) = -5*i(n) - 4*k(n). Determine r(4). -19 Let p(h) be the second derivative of -h**3/6 - h**2/2 + h. Suppose -3*r = 9 - 0. Let w be p(r). Let c(l) = l**2 + l - 2. Give c(w). 4 Suppose -2*y + 3*a + 21 + 13 = 0, -2*a + 36 = 4*y. Let w be 2/y + (-2)/11. Let t(h) = h**2 + h - 9. Give t(w). -9 Let o be 0/(-1)*(-1 - 0). Let l(g) be the second derivative of -g**4/12 + g**3/6 - 3*g**2/2 - 69*g. Calculate l(o). -3 Let f(n) = -n**3 - 7*n**2 - 8*n - 5. Let o be -6*(-3)/(-6) + 6. Suppose -c + 2 + o = 0. Suppose 3*z - c*i + 1 = -2, -21 = 2*z + 3*i. What is f(z)? 7 Let w(d) = d**2 - 8*d + 3. Let u be w(7). Let z(i) be the first derivative of -i**2 - 3*i - 9. Give z(u). 5 Let b = 14 - 18. Let c(j) = -j**2 - 7*j - 3. Calculate c(b). 9 Let r(g) = g**2 + 10*g - 11. Let k be r(-11). Suppose k*j - 20 = -5*j. Let w(v) = 2*v**2 - 6*v + 1. Give w(j). 9 Let g(x) = -x**2 + 0*x - 2*x + 2 + 5*x + 2*x. Give g(5). 2 Let o(q) = 11*q + 6. Let i(n) = 24*n + 13. Let j(s) = -6*i(s) + 13*o(s). Let k be (-4)/14 + (-47)/7. What is j(k)? 7 Suppose 15 = 5*u - k, -4*k - 12 - 14 = -3*u. Let d(w) = 2*w - 4*w**u - 2*w**2 + 0 + 8 + 0*w**2 - w**3. Calculate d(-6). -4 Let v(l) be the first derivative of -5*l**2 + 2*l + 49. Determine v(2). -18 Let q(t) = -4*t + 10*t - 1 + 2 - 2. Give q(-2). -13 Let y(i) = -3*i - i**3 + 7*i + 5*i + 17*i**2 - 5 - 23*i**2. Determine y(-7). -19 Let w(q) = q**2 - 3*q - 4. Let c be 1 + (-1 + -2)/(-1). Calculate w(c). 0 Let w(k) = -k**2 - 5*k - 2. Let t = 8 + -21. Let d = -10 - -18. Let c = d + t. Determine w(c). -2 Let w(c) = -2*c. Let v(a) be the first derivative of 3*a**2/2 + a - 5. Let q(r) = 3*v(r) + 4*w(r). Calculate q(6). 9 Let m(i) be the second derivative of -7*i**3/6 - i**2/2 + i. Let u(a) = -6*a - 1. Let p(g) = -5*m(g) + 6*u(g). Calculate p(-5). 4 Let z(s) = -3 + s + 0 + s**3 - 3 + 0. What is z(0)? -6 Let i(t) = -t**3 + 5*t**2 + 6. Suppose 5*s = -0*s + 155. Let z = s - 26. Give i(z). 6 Let q(j) = 4*j + 3. Let h(s) = 2 + 2*s + 3*s - 2*s. Let b(z) = -5*h(z) + 4*q(z). Calculate b(6). 8 Let x(a) = 2*a**2 - 2*a - 1. Let q(z) = 3*z**2 - z - 2. Let d be ((-6)/4)/((-5)/(-10)). Let l(o) = d*q(o) + 4*x(o). Determine l(-5). 2 Let m(b) be the second derivative of -b**3/6 - b**2/2 - 17*b. Let q(t) = -2 - 2 - 7*t - 6. Let a(v) = 6*m(v) - q(v). Determine a(-5). -1 Let k(n) be the first derivative of 2*n**2 + n - 45. Determine k(-2). -7 Let g(y) = y. Suppose 5*p - 4*p + d = 4, 5*p + 20 = 5*d. Suppose -5*r + 4*n + 20 = -p*r, -3*r = -2*n - 10. What is g(r)? 0 Let c = 42 + -42. Let q(x) = -x + 5. Give q(c). 5 Let k(v) be the first derivative of v**6/12 + v**5/60 - v**3/6 + 3*v**2/2 - 3. Let u(r) be the second derivative of k(r). Calculate u(-1). -10 Let t(y) = -5*y**2 - 23*y + 20. Let o(r) = r**3 + 4*r**2 - 7*r - 7. Let s be o(-5). Let n(u) = 2*u**2 + 8*u - 7. Let v(w) = s*t(w) + 8*n(w). Determine v(4). 0 Let a(d) = d**3 + 4*d**2 + d + 2. Let i(j) = 11*j**2 + 1. Let c be i(1). Let k = -18 + c. Let g be (3/1)/(k/8). Determine a(g). -2 Let g(h) = 7*h - 6. Let n(m) = 15*m - 13. Let s(w) = 13*g(w) - 6*n(w). Give s(1). 1 Let p(f) = -f**3 + 4*f**2 + 2*f - 1. Let h be p(4). Let s(j) = j**2 - 9*j + 7. Determine s(h). -7 Suppose 2*q = -3*q - 15. Suppose 6*n + 16 = 10*n. Let s(g) = 0*g**2 + g**3 + 1 + 2*g**2 + 3*g**2 + n*g. What is s(q)? 7 Let v(m) = 6*m - 2 + 3*m - m - 6*m - m**2. Give v(2). -2 Suppose -15 = 2*k + 1. Let r = k - -4. Let w(d) = -d + 1. Let t(u) = -8*u + 2. Let l(j) = t(j) - 6*w(j). Give l(r). 4 Let q(l) = -l + 7. Let n = -2 - -4. Let o be 1 + (n + -1 - -3). Give q(o). 2 Let m(j) = 3*j + 12. Let s = -176 + 167. Give m(s). -15 Let c(a) be the first derivative of a**4/4 - 2*a**3/3 - 3*a**2/2 + 3*a - 65. Determine c(2). -3 Let b = -12 + 6. Let j = b + 12. Let l be -1*-10*(-3)/j. Let n(t) = t**3 + 4*t**2 - 6*t + 1. Calculate n(l). 6 Let x(s) be the first derivative of 4*s**2 - 1. Suppose -5*h - 13 = -5*z + 12, 4*z = 5*h + 21. Determine x(h). -8 Let t(w) = 2*w**2 - 1 + 3*w + 2*w**2 - w**3 + 0 - 6*w**2. Suppose -m = 4*x, -x - 2*m = 3*x. Suppose x = -s - 3. Determine t(s). -1 Suppose 3*w - 2*g - 26 = 0, 0*w + 4*g - 4 = -w. Suppose -6*m + m + y - w = 0, 5*y + 6 = 2*m. Let c(h) = 2*h - 1. What is c(m)? -5 Let a(q) = q**3 + 6*q**2 + 2*q + 2. Let n be a(-5). Suppose n*j = 12*j - 15. Let w(s) = s**3 + 3*s**2 + 3*s + 4. Determine w(j). -5 Let p(j) = -2*j + 5*j**2 + 0*j - 4*j**2 + 7 + 9*j. Determine p(-5). -3 Suppose -2*m - 4*v = 8, -2*m + 2*v = -6*m - 4. Let f(k) = -k - 3*k**2 + 4*k**2 - 2 + k**3 - 2*k**3. What is f(m)? -2 Let g(m) = 4*m**2 - 4*m + 2. Let n be g(2). Let q be n*(13/5 + -2). Let x(b) = -2*b - 2*b - b - 1 + q*b. Give x(2). 1 Let k(w) = -5*w**2 - w + 1. Let x = 4 - 2. Suppose x*b - 5*g - 11 = 11, 3*b - 3*g - 15 = 0. Give k(b). -5 Let w(i) = -i + 1. Let g(m) = m**3 + 6*m**2 - 4*m + 23. Let v be g(-7). Calculate w(v). -1 Let c(j) = j + 8*j**2 - 2*j**3 + j**3 + 4 - 6*j**2. What is c(3)? -2 Suppose 6*i = 3*i - 6, 3 = j + 2*i. Let c(h) = -4 + h**2 + 6*h - j*h - 4*h. Determine c(3). -10 Suppose -3*i = -8*t + 3*t - 10, 0 = -2*i - 4*t - 8. Let f(w) = i*w - 6 - 3*w**2 + 1 - 4*w + 2*w**2. Suppose 0 = -3*p - 0*p - 15. Calculate f(p). -10 Let f(b) = -b**3 - 3*b**2 + 3*b - 1. Let q be f(-4). Let s be 4/(-12) - (-19)/q. Let n(u) = -u**2 + 6*u - 5. What is n(s)? -5 Let v(m) = -m**3 + 9*m**2 + 5*m - 10. Let o(s) = -3*s**3 + 26*s**2 + 14*s - 29. Let l(w) = -4*o(w) + 11*v(w). Give l(5). 1 Let t(i) = -4*i + 1. Let s be t(-1). Let x(o)
{ "pile_set_name": "DM Mathematics" }
m. What is the units digit of q? 1 Suppose -4*y = -5*r - 310, 84 = y - 2*r + 4*r. Suppose 8*a - y = 3*a. What is the units digit of a? 6 Suppose 0 = n - 9 + 4. Suppose -4*j + n*t + 25 = -95, 2*t = 3*j - 83. Let f = 7 + j. What is the tens digit of f? 3 What is the hundreds digit of (2564 - -1) + (92 - 83)? 5 Let c(t) be the second derivative of 25*t**4/12 + t**3/3 - t**2/2 + 3*t. Let g be c(1). What is the units digit of (39/13)/(3/g)? 6 Suppose -2*o + 55 = 7. Let a = 40 - o. Let l = 33 - a. What is the tens digit of l? 1 What is the tens digit of (1 + 0/(-3))*530? 3 Suppose u = -7*a + 4*a + 1629, 5*u + 2*a = 8093. What is the thousands digit of u? 1 Suppose 4*d - 3 = d. Suppose -9 = 2*l + d. What is the units digit of 8/(-10) - 14/l? 2 Suppose 0 = 8*d + 81 + 503. Let i = -24 - d. What is the tens digit of i? 4 Suppose 8*w - 68 = 3*w - 4*i, -2*i - 56 = -5*w. Suppose y + p = -3*y + w, 0 = -3*p. Suppose 2 = -y*d + 8. What is the units digit of d? 2 Let t = 9 - 11. Let f be ((-50)/(-15))/(t/3). Let h(a) = a**3 + 8*a**2 + 9*a + 10. What is the tens digit of h(f)? 4 Let u be 42/(-1)*2/(-3). Let f = 86 + -59. Let x = u + f. What is the units digit of x? 5 Suppose 2 = 2*m - 4, -m - 17 = 5*x. What is the units digit of 1547/21 - x/3? 5 Let r be -1 - (-1 + -328 + 4). Suppose 0 = -3*p + 4*d + r, 4*p - 463 = -0*p - 5*d. What is the units digit of p? 2 Suppose 0 = -5*z + 17 + 13. Let g(j) = z*j - 4*j + 14 - j. What is the units digit of g(-6)? 8 Suppose 3*r + 81 = 297. What is the tens digit of r? 7 Let n = -101 - -365. What is the units digit of n? 4 Let b be (206*(-3)/(-6))/(-1). Let p = -30 - b. What is the tens digit of p? 7 Suppose -4*h - 30*g + 5496 = -26*g, -4*h + 3*g + 5468 = 0. What is the hundreds digit of h? 3 Let z(t) = -t**3 - 40*t**2 - 45*t - 175. What is the units digit of z(-39)? 9 Let l(b) = b + 74. Let g(f) = 25. Let m(c) = -8*g(c) + 3*l(c). Let w be m(-6). Suppose t = -w*t + 205. What is the units digit of t? 1 Suppose -71 - 57 = -q. What is the units digit of q? 8 Let b be (-6)/(4 + -6) + -1 - 0. What is the tens digit of (b + (-3)/6)*(-768)/(-18)? 6 Let u(o) = 6*o**3 - o**2 - 5*o + 10. What is the hundreds digit of u(5)? 7 Let p(i) = -i**3 - 12*i**2 - 12*i + 42. What is the tens digit of p(-14)? 0 Suppose 9*o + 8 = 13*o. Let n be 16 + o*(-12)/8. Let t = n - -1. What is the tens digit of t? 1 Suppose 4*f - 14 = -6. Suppose 2*p - 112 = -3*d - 0*p, f*d = 2*p + 88. What is the tens digit of d? 4 Suppose 15 = 5*g, -4*w + 5*g = 1 + 2. Suppose -5*c - w*x = -223, -c + 2*x = 3*x - 43. What is the units digit of c? 7 Let m be (-8 + 2)*-1 + -2. Suppose -4*f + 43 = 3*o, -3*f + 6*o - m = o. Suppose s - f + 2 = 0. What is the units digit of s? 5 Let b = -57 + 25. Let g = -23 - b. What is the units digit of g? 9 Let f(c) = 77*c**2 + c - 2. Let i be f(-1). Let h be 4/10 - 76/(-10). What is the tens digit of -4*(0 - i/h)? 3 Suppose 4*g - 2354 = 2*a, 66*g - 70*g + 5*a = -2369. What is the hundreds digit of g? 5 Let d = 1020 + -298. What is the hundreds digit of d? 7 Suppose 0 = 28*k - 24*k + 8. What is the tens digit of (-580)/(-8)*k/(-1)? 4 Suppose 2*f - 152 = -0*f. Suppose -4*l - 3*x - 323 = 0, -63 = 2*l - 3*x + f. What is the tens digit of -3 - l - (3 + 0)? 7 Suppose -37 = -2*l + 95. Suppose s - l = 16. What is the units digit of s? 2 Let z(j) = -j**3 + 5*j**2 + 5*j - 1. Let k be z(6). Let f = 5 + k. What is the units digit of (-5*10)/f + 2? 7 What is the hundreds digit of 5 - (0 - -1)/(13/(-65065))? 0 Suppose 3*x + 4011 = 5*h, -2*h + 52*x - 54*x = -1598. What is the hundreds digit of h? 8 Let v = 61 - 59. Suppose 2*i + 3*h + 216 = 5*i, -v*i - 4*h = -126. What is the units digit of i? 9 Suppose -4*d = -4*a, 4*d - 7*d = a - 16. What is the tens digit of 5/20 - (-179)/d? 4 Suppose 2*b - 4*x - 330 = 0, -2*b + 810 = 3*b + 5*x. Suppose v - 107 - b = 0. Suppose 0 = 5*m - v - 20. What is the tens digit of m? 5 Let v be 2/11 - 1901/(-11). Let i = v - 94. What is the tens digit of i? 7 Suppose -2*m + 1240 = 5*p + 3*m, 5*m + 768 = 3*p. What is the tens digit of p? 5 Suppose -7 = -8*j + 73. Let h be (3/6)/((-2)/2656). What is the units digit of 4/j - h/40? 7 Suppose -3*x - 4*p + 8238 = 0, -2*x = -3*p - 2766 - 2709. What is the tens digit of x? 4 What is the hundreds digit of (-9734)/(-4) + 48/32? 4 Suppose -3*c + 92 + 76 = 0. Suppose 2*x = 2*i - 46, 3*i - 5 = -5*x + c. What is the tens digit of i? 2 Suppose -2001 = -4*r + 1091. What is the units digit of r? 3 Let u = -162 - -93. Let m = 133 + u. What is the tens digit of m? 6 Let m be (-28)/(-3) + ((-308)/42 - -8). Let z be (-2)/(-3) + 5224/(-6). What is the tens digit of z/(-50) - (-6)/m? 1 Let w = 4230 + -2338. What is the units digit of w? 2 Let m(c) = -c**2 - 23*c - 14. Let k = 39 + -58. What is the units digit of m(k)? 2 Suppose 0 = 2*c - 559 - 159. What is the units digit of c? 9 Let u = 9 - 46. Let c = -68 - u. Let h = c - -57. What is the tens digit of h? 2 Let p be (-13)/(-3) + 1/(-3). Let g(i) = -2*i**2 - 4*i + 14. Let y(r) = -3*r**2 - 4*r + 18. Let l(t) = 4*g(t) - 3*y(t). What is the units digit of l(p)? 2 Suppose 42*x = 2086 + 854. What is the tens digit of x? 7 Let r(k) = 0*k**2 - 1 + 1 - k**2 - 6 - 10*k. What is the units digit of r(-4)? 8 Let q be (0 + -3 + 4)*4. Suppose 0 = -c + z + 19, -31 = -c - q*z + 8*z. What is the units digit of (12/(-20))/((-1)/c)? 9 Let c(z) be the third derivative of z**6/120 + z**5/10 - z**4/4 - 7*z**3/6 - 10*z**2. What is the tens digit of c(-5)? 4 Suppose 0 = 3*t - 970 - 842. What is the tens digit of t? 0 Suppose 2*k = 5*b + 260, -2*k + 3*b + 264 = -b. Let j = -95 + k. Let x = j + -31. What is the tens digit of x? 1 Suppose -6*n + 14 + 10 = 0. Let v be (-40)/n + -3 + 1. Let l = 16 + v. What is the units digit of l? 4 Let s be (3 + -5 - 2) + (-7)/(-1). Suppose 10 = -2*j, -2*j = -s*v + 244 - 21. What is the units digit of v? 1 Suppose 4*h - 2211 = 3*d, 3*d + 2186 = 4*h + 5*d. What is the hundreds digit of h? 5 Let r be (1/(-9)*-3)/((-6)/(-450)). Suppose 3*f = 5*u + 461, -6*u + u = -r. What is the hundreds digit of f? 1 Let d(r) = -r**2 - r - 24. Let f be 0/(1/(4 + -3)). Let o be d(f). What is the units digit of (102/o)/(2/(-8))? 7 Let n = -15 + 17. Suppose -c - n*c = -12. Let j = c - -45. What is the units digit of j? 9 Let b(y) = 7*y - 1. Let s(h) = -h - 2. Let x(l) = -b(l) - 6*s(l). What is the units digit of x(3)? 0 Suppose -5*b = -10*b + 3350. Suppose -l = -6*l + b. What is the units digit of l? 4 Let s(a) = -7*a**3 + 3*a**2 + 3*a - 13. What is the tens digit of s(-4)? 7 Let f(u) = -6*u**3 + 4*u**2 + 2*u - 4. Suppose -3 = -i + 4*y + 4, -11 = -2*i + 5*y. Let r be f(i). What is the tens digit of (-12)/(-8)*r/(-6)? 3 Let s(z) = z + 1. Let p(y) = -10*y - 6. Let h(o) = p(o) + 2*s(o). Let q = -27 + 21. What is the tens digit of h(q)? 4 What is the units digit of 3 - -15*22/1? 3 Let o(q) = q**3 - 8*q**2 + 4*q + 11. Let g be o(5). What is the units digit of 0/(-1) - g - (-10)/5? 6 Let s(m) = -m**2 - 8*m + 3. Let c be ((-7)/(-3))/((-6)/18). What is the units digit of s(c)? 0 Let o(a) = 17*a**2 + 5*a + 4. What is the hundreds digit of o(5)? 4 What is the hundreds digit of 6193/3 + 8 + (-125)/15? 0 Let v = 20 - 26. Let t(z) = -29*z - 21. What is the tens digit of t(v)? 5 Suppose -3*j + 46 + 186 = 5*a, -2*a - 2*j + 92 = 0. Let k = 21 - a. Let y = k - -38. What is the tens digit of y? 1 Let t = -12 + 16. Suppose 3*b = x - 48, t*b + x = -3*x - 48. What is the tens digit of 12/b*(-25)/2? 1 Let s(u) = -9*u - 143. What is the units digit of s(-26)? 1 Let b be (58/(2/(-4) - 0))/(-1). Suppose 3*c - 172 - b = 0. What is the tens digit of c? 9 Suppose 2*x - 4 = 3*m, 5*x - 3*m - 9 = 10. Suppose -2*h = -x*u - 1 - 2, -8 = -3*h + 4*u. Suppose -h*k + 12 = -16. What is the units digit of k? 7 Let n be 8 + -2 + -9 + 6. Suppose n*z = j + 4*z - 100, 0 = 3*j - 4*z - 300. Suppose -5*q = -q - j. What is the tens digit of q? 2 Suppose 11*o = 13*o - 1834. What is the units digit of o? 7 Let l = 1471 - 443. What is the tens digit of l? 2 Suppose i - 144 = 7*i. Let z = -87 - i. What is the tens digit of (-873)/z + 1/7? 1 Let o(y) = y**2 + 11*y + 20. Let x be o(-9). Suppose 6*m + 462 = 5*l + x*m, 279 = 3*l - 3*m. What is the tens digit of l? 9 Let v(z) = 8*z + 2. Let o(d) = 23*d + 5. Let g(i) =
{ "pile_set_name": "DM Mathematics" }
) + 11*i(k). -3*k**3 + 5 Let x(i) = 11*i**2 + 11*i + 2. Let d(o) = -4*o**2 - 2 + 1 - 2*o**2 - 6*o. Suppose -3*u + 10*u = -28. Give u*x(h) - 7*d(h). -2*h**2 - 2*h - 1 Let z(l) = -160*l - 17. Let c(v) = 53*v + 6. Determine 11*c(d) + 4*z(d). -57*d - 2 Let j(q) = -4*q + 1. Let b(v) = -2*v - 1. Let s(t) = -t. Let c(m) = b(m) - 5*s(m). Determine 3*c(r) + 2*j(r). r - 1 Let x(i) = i - 2. Let o(j) = -j + 1. Determine 5*o(y) + 2*x(y). -3*y + 1 Let s(q) = 3*q + 9. Let f(o) = o + 4. Determine 5*f(x) - 2*s(x). -x + 2 Let w(m) = -6*m + 10. Let j(s) = 5*s - 9. Give -3*j(k) - 2*w(k). -3*k + 7 Let s(z) = 50*z**3 - 5*z**2 - 6. Let a(y) = -51*y**3 + 6*y**2 + 7. Calculate -6*a(d) - 7*s(d). -44*d**3 - d**2 Let c(t) = t**3 - 6*t**2 + 6. Let z = 4 - 9. Let b(h) = h**3 - 5*h**2 + 5. Give z*c(m) + 6*b(m). m**3 Let d(a) = -a - 1. Let y(b) = -1. Calculate -3*d(h) + 3*y(h). 3*h Let t(v) = 2*v + 3. Let s(x) = -x**3 + 5*x + 7. Determine 4*s(k) - 10*t(k). -4*k**3 - 2 Let y(v) = -10 + 8*v - 14*v + 16*v**2 + 3*v - 3*v. Let t(g) = 3*g**2 - g - 2. Determine 11*t(z) - 2*y(z). z**2 + z - 2 Let b(h) be the first derivative of 0*h**3 - 2 + h + 1/12*h**4 + 0*h**2. Let t(q) be the first derivative of b(q). Let m(o) = 3*o**2 + 1. Determine m(j) - t(j). 2*j**2 + 1 Let p(x) be the second derivative of x**3/3 - x**2 + 4*x. Let r(z) = -2*z + 2. What is 3*p(i) + 4*r(i)? -2*i + 2 Let p(i) = -3*i**2 + 5*i - 5. Let t(d) = -9*d**2 + 15*d - 15. Let g(v) = -8*p(v) + 3*t(v). Let z(b) = -b + 1. What is g(u) + 5*z(u)? -3*u**2 Let p(r) = -3*r**3 - 4*r**2 + 4*r + 4. Let m(l) = -3*l**2 - 6 + 3*l + 0 - 2*l**3 + 9. Let t be (-1 + (-1)/(-3))*6. Calculate t*m(x) + 3*p(x). -x**3 Let o(g) = -4*g**2 + 2*g. Let i(l) = 2*l - 18. Let y be i(6). Let m(q) = 5*q**2 - 3*q. Give y*o(s) - 5*m(s). -s**2 + 3*s Let o(c) = -c**2 - 2*c - 3. Let j(u) = u**2 + u + 1. What is -6*j(w) - 3*o(w)? -3*w**2 + 3 Let a(u) be the first derivative of u**4/4 + u**3/3 + 6*u + 2. Let r(q) be the first derivative of a(q). Let i(v) = -19*v**2 - 13*v. Determine 6*i(p) + 39*r(p). 3*p**2 Let i(r) = 4*r**3 + 7*r**2 + 6*r - 8. Let u(k) = -5*k**3 - 8*k**2 - 7*k + 9. Let z = 5 - 12. Let m = 7 - 13. Calculate m*u(o) + z*i(o). 2*o**3 - o**2 + 2 Let s(m) be the second derivative of 0 - 7/6*m**3 - 2*m - 1/2*m**2. Let y(i) = 7. Let x(n) = -n - 6. Let f(g) = -6*x(g) - 5*y(g). Determine 6*f(d) + 5*s(d). d + 1 Let g(h) = 10*h**2 + 5*h - 6. Let v(x) = 9*x**2 + 4*x - 5. Let s(b) = 4*g(b) - 5*v(b). Let m(q) = -q**2. What is -3*m(z) + s(z)? -2*z**2 + 1 Let d(o) = -4*o**2 - 10*o - 13. Let c = 17 + -24. Let l(y) = -y**2 - 3*y - 4. Determine c*l(a) + 2*d(a). -a**2 + a + 2 Let p(t) = -16*t**2 - 10*t + 10. Let o = 27 - 17. Suppose -f = -5*f + 8. Let a(y) = 3*y + y**f - 34 + 4*y**2 + 31. Give o*a(u) + 3*p(u). 2*u**2 Let o(w) = 7*w**2 - 7*w + 6. Let q(d) = -3*d**2 + 3*d - 3. Suppose -4*a + 4 + 12 = 0. Suppose -4*h - 25 = 3*z - 4*z, 5*h + 5 = -a*z. Calculate h*q(x) - 2*o(x). x**2 - x + 3 Let x(m) = m**2 - 2*m + 3. Let o(t) = -109*t - 9 + 116*t + 2*t**2 - 3*t**2 - 3*t**2. Calculate 2*o(a) + 7*x(a). -a**2 + 3 Let w(y) = 4*y - 10. Let t(p) = -3*p + 3. Let i(s) = -1. Let m(l) = 4*i(l) - t(l). Let q(u) = -3*u + 7. Let h be q(7). Let n = h - -21. What is n*m(g) - 5*w(g)? g + 1 Let p(w) = 5*w**2 + 2*w + 5. Let n(t) = -6 + 16*t**2 + 8*t**2 - 3*t - 30*t**2. What is 4*n(j) + 5*p(j)? j**2 - 2*j + 1 Let j(f) = -9*f - 6. Let b(p) be the second derivative of -4*p**3/3 - 5*p**2/2 + 8*p. Give 7*b(h) - 6*j(h). -2*h + 1 Let i(o) = 13*o**3 - 7*o**2 - 7*o + 7. Let a(k) = 4*k**3 - 2*k**2 - 2*k + 2. Let u(w) = 2*w + 14. Let r be u(-6). Give r*i(f) - 7*a(f). -2*f**3 Let m(h) = -2*h**2 + h + 1. Let s(u) = -2*u**2 + 2. Give 3*m(l) - 2*s(l). -2*l**2 + 3*l - 1 Let p(j) = -1. Let q be (-4)/(-10) + 27/(-5). Let x = q + 6. Let s(y) be the third derivative of -y**4/24 - y**2. Determine x*p(m) + 2*s(m). -2*m - 1 Let k(a) = -4*a**2. Let l be -2*(-1 + 0 - 1). Let t(h) = -5*h**2. What is l*t(p) - 6*k(p)? 4*p**2 Let b(v) = 28*v**3 - 7*v**2 - 5*v - 1. Let x(z) = 42*z**3 - 10*z**2 - 7*z - 1. Determine -7*b(a) + 5*x(a). 14*a**3 - a**2 + 2 Let m(g) = -g + 1. Let c(x) = 2*x**2 - 4*x + 2. Give c(o) - 5*m(o). 2*o**2 + o - 3 Let a = 5 + -8. Let u(d) = -4*d**2 + 3. Let j be 3/9 - (-15)/9. Let z(n) = -2 + 2 + j*n**2 + 1 - 3*n**2. Give a*z(w) + u(w). -w**2 Let q(m) = m - 3. Let s(i) = 3*i - 8. Let p(l) = l - 3. Let h be p(6). Suppose -6*z + 4*z = 4*d + 6, -h*z = -15. Determine d*s(o) + 11*q(o). -o - 1 Let x(h) = -2*h**2 - 6*h - 2. Let r(z) = 2*z**2 + 5*z + 1. Calculate 3*r(w) + 2*x(w). 2*w**2 + 3*w - 1 Let p be -2*(-1)/(-2)*(-11 + 10). Let u(r) = -r**2 - r. Let n(o) be the first derivative of 2*o**3/3 + 3*o**2/2 - 1. Calculate p*n(x) + 3*u(x). -x**2 Suppose 2*k - 3*f + 20 = 0, 0*f - 2*f = -5*k - 28. Let z(c) = 21*c**3 - 11*c**2 - 11*c. Let r(a) = -4*a**3 + 2*a**2 + 2*a. Give k*z(t) - 22*r(t). 4*t**3 Let u(x) = -6*x - 6. Let k be (128/80)/((-4)/10). Let a(l) = 7*l + 7. Determine k*a(w) - 5*u(w). 2*w + 2 Let p(t) be the first derivative of t**4/4 + t**2 + t - 6. Let g(y) = 2*y**3 + 3*y + 1. Determine -2*g(i) + 3*p(i). -i**3 + 1 Let r(q) = -5*q + 2. Let y(v) be the first derivative of -v**5/20 + v**4/8 + v**3 + 5. Let k(h) be the third derivative of y(h). Give 3*k(x) - 4*r(x). 2*x + 1 Let c(g) = -6*g - 2*g - g - 9. Let b(k) = 2*k + 2. Give 26*b(f) + 6*c(f). -2*f - 2 Let n(y) = -y**3 - 10*y**2 - 10*y + 2. Let u be n(-9). Suppose -4*d + 1 + u = 0. Let c(g) = 2*g**2 - 2*g - 1. Let k(p) = 4*p**2 - 3*p - 1. Give d*k(f) - 5*c(f). 2*f**2 + f + 2 Let y(p) = -17*p + 3. Let c(w) = 6*w - 1. Give 14*c(i) + 4*y(i). 16*i - 2 Let r(c) = -6*c**3 - 26*c**2 + 11*c. Let k be ((-4)/14)/((-1)/7). Let t(s) = 4*s + 0*s**3 - k*s - 5*s**2 - s**3. Give -2*r(l) + 11*t(l). l**3 - 3*l**2 Let s(r) = -r**2 - 5*r + 2. Let z be 0 + 2 + (-3 - -1). Suppose -w + 3 = -z. Let n(g) = 2*g**2 + 6*g - 2. Give w*n(c) + 4*s(c). 2*c**2 - 2*c + 2 Let o(n) = n + 1. Let j(f) = 3*f + 3. What is -j(s) + 2*o(s)? -s - 1 Let g(a) = 9*a - 11. Let u(m) = -2*m + 2. Determine -2*g(h) - 11*u(h). 4*h Let d(i) = -i**3 + i. Let a be (-6)/(-24) - 12/(-16). Let j(p) = -14*p**3 + 10*p. What is a*j(k) - 10*d(k)? -4*k**3 Let y(u) = -3*u**2 + 6*u + 6. Let t = -7 + 15. Let w(o) = 3 - 5*o - 3*o**2 - t + 6*o**2. Determine 6*w(m) + 5*y(m). 3*m**2 Let f(c) = 3*c - 3. Let q = -2 - 4. Let d(b) = 4*b - 4. Let x(g) = q*f(g) + 4*d(g). Let t(y) = -2*y + 3. Calculate 2*t(k) - 3*x(k). 2*k Let i(j) = 4*j + 7. Let z(h) = 13*h + 21. What is -7*i(y) + 2*z(y)? -2*y - 7 Let i(w) = w**2 + 3*w**2 - w - 5*w**3 - 3*w**2 + 4*w**3. Let n(q) = -5*q**3 + 3*q**2 - 4*q. Determine 3*i(l) - n(l). 2*l**3 + l Let v(o) = -4*o**2 - 4*o. Suppose 4*x + 44 = 4. Let j(a) = 7*a**2 + 7*a. What is x*v(q) - 6*j(q)? -2*q**2 - 2*q Let w(v) = 4*v + 4. Suppose -5*u + 27 = 2*r - 3*r, 9 = 4*u - 5*r. Suppose -3*p + 6*p + u = 0. Let d(s) = -2*s - 2. Determine p*w(a) - 5*d(a). 2*a + 2 Let d(t) = -4*t**3 + 3. Let v(n) = -17*n**3 + n**2 - n + 12. Let i(a) = -9*d(a) + 2*v(a). Let r(w) = -6*w**3 - 7*w**2 + 7*w + 10. Give -7*i(j) - 2*r(j). -2*j**3 + 1 Let o(p) = 4*p**2 + p - 1. Let g(u) = -u**2 - u. Calculate -g(b) - o(b). -3*b**2 + 1 Let m(r) = -3*r + 35. Let t be m(11). Let a(y) = -12*y - 1. Let x(v) = -3*v. Give t*a(d) - 9*x(d). 3*d - 2 Let s be (1/(-2))/((-3)/12). Let x(q) = -4 - 3*q + 3 + 0 + s*q. Let n(b) = -5*b - 4. Give -n(i) + 4*x(i). i Let j(x) = -x - 3. Let t(y) = -1. Let h(s) = -6*j(s) + 13*t(s). Let l be 10*(0 - 3/6). Let m(n) = -5*n - 4. Determine l*m(i) - 4*h(i). i Let y(w) = 106*w**2 + 7. Let n(v) = 71*v**2 + 5. What is 7*n(b) - 5*y(b)? -33*b**2 Let s(z) be the first derivative of 2/3*z**3 - 3 - 3/2*z**2 + 3*z. Let o(x) = -5*x**2 - 5 + 4*x - 2 + 7*x - 4*x. Give 6*o(a) + 14*s(a). -2*a**2 Suppose -2*t - t + 15 = 0, 2*i - 1 = t. Let q(x) = x**3 + 3*x**2 + 2. Let u(z) = 2*z**3 + 4*z**2 + 3. Give i*q(f) - 2*u(f). -f**3 + f**2 Let t(d) = -2*d - 3. Let m(a) = 5*a + 10. What is 2*m(w) + 7*t(w)? -4*w - 1 Let p(h) = -6*h**3 + 4*h**2 + 2*h. Let r(j) = -j**3 + j**2. Determine -p(u) + 4*r(u). 2*u**3 - 2*u Let t(g) = -5*g + 6. Let b(s) = s + 1. Give 5*b(l) - t(l). 10*l - 1 Let n(v) = -3*v + 2. Let x(j) = j. Determine n(t) - 2*x(t). -5*t + 2 Suppose 3*z + 17 = 4*l, 0 = -3*l + z + 12 - 3. Suppose 4*f + 10 = l*f. Let m(j) = -2*j - 3
{ "pile_set_name": "DM Mathematics" }
). 2, 3 Let h(r) = 4 + r**2 + 0*r**2 + 4*r + 0. Suppose 4*o - 20 = 0, -1 = 5*d + 3*o + 4. What are the prime factors of h(d)? 2 Let m(o) = -o - 2. Let d be m(-2). Suppose -3*b = 3*q, d*b - 5*b + 5*q = 0. Suppose b*j = -2*j + 24. List the prime factors of j. 2, 3 Let r be 27 + 3/(3/(-3)). Suppose w = j - 12, -5*w + 0 - r = -j. What are the prime factors of j? 3 Suppose 0 = 2*o + 5 - 39. What are the prime factors of o? 17 Let g(w) = w**3 + 26*w**2 - 33*w + 16. List the prime factors of g(-27). 2, 89 Let q(h) = 2*h - 3. Let t = 7 + -4. Let j be q(t). What are the prime factors of ((-2)/j)/((-4)/12)? 2 Let t(l) = -l**2 + 1. Suppose -2*x - 2*m = 4 - 2, 0 = -2*x + 5*m + 12. Let u be t(x). What are the prime factors of (1 + 1 - u)*5? 2, 5 Let v be (5/((-5)/(-4)))/2. Suppose -3*n - v*z + 40 = 0, -n - n = -2*z - 30. List the prime factors of n. 2, 7 Suppose k = 6*k. What are the prime factors of (k - (-6)/(-2)) + 23? 2, 5 Let f = -41 - -59. What are the prime factors of f? 2, 3 Let q(o) = -o**3 - 7*o**2 + 7*o - 6. List the prime factors of q(-8). 2 Let l be 10*(-4)/(-30)*-3. Let t = l + 14. What are the prime factors of t? 2, 5 Suppose -a + c - 16 = 2*c, -5*a - c = 76. Let y = a + 9. Let t(x) = -x**3 - 7*x**2 - 7*x - 2. List the prime factors of t(y). 2 Let a be 2/2 - (55 + 0). What are the prime factors of 12/a + 292/18? 2 What are the prime factors of 270/12 - (-2)/4? 23 Suppose 2*u = 436 - 134. What are the prime factors of u? 151 Let b be ((-24)/(-28))/(1/7). Suppose 4 = 5*c - g, -4*c - g + b = c. Suppose -c = -u + i, 5*i + 2 = 3*u + i. What are the prime factors of u? 2 Let l(h) = h**3 - 3*h**2 + 4*h - 3. Let r = -5 + 8. What are the prime factors of l(r)? 3 Let l(f) = -2*f + 6. List the prime factors of l(-7). 2, 5 Suppose -2 = y + 3*l, 3*l - 6 = 5*y + 22. Let i = y - -8. Suppose -2*o = i*g - 19, 4*g + 2*o - 26 = -o. List the prime factors of g. 5 Let i = -19 + 34. What are the prime factors of i? 3, 5 Let i = -132 - -470. What are the prime factors of i? 2, 13 Suppose 0 = -4*q - 10 + 22. Suppose 4*o - q = 9. Suppose -o*k + 5*p - 40 = -8*k, k - 3*p - 16 = 0. List the prime factors of k. 2, 5 Let i = 33 - -52. List the prime factors of i. 5, 17 Suppose -v - 9 = -4*v. Let t = v - 0. Let l = 5 + t. What are the prime factors of l? 2 Let i = 44 - 84. Let v = 90 + i. List the prime factors of v. 2, 5 Let j(f) = 8*f + 6. Let o be j(6). Suppose 0 = -2*p - 0 - 6, 3*w = 2*p + o. Let c = w - 9. List the prime factors of c. 7 Let q(n) = -4*n - 6. Let d be q(-7). Suppose -8 = 2*g - d. Suppose 2*j - g*j + 40 = 0. List the prime factors of j. 2 Let q(y) = -y**3 - y**2. Let w be q(-2). Suppose 0 = -2*s + v + 17, -w*v = -4*s - 0*v + 24. Let m = s - 8. List the prime factors of m. 3 Suppose -2*h + 6 = -j - 4, -2*j = 3*h - 8. Suppose -x = h*x. Suppose x*c - c - 2*k = 6, 4*c + 3*k = -4. List the prime factors of c. 2 Let f be 3/5 - (-48)/20. Suppose 2*r + 2*r = -4*d + 4, -2*r + 5*d - 19 = 0. What are the prime factors of (r + 4/f)*-6? 2 Let l(n) = 31*n**2 + 4*n - 1. List the prime factors of l(2). 131 Suppose -4 = -3*i - 10. Suppose 32 = -0*n + 2*n + 4*y, -3*y + 3 = -2*n. Let w = n + i. What are the prime factors of w? 2 Let x = 5 - 3. Let d be 363/12 + x/(-8). Suppose 3*l - d = -2*l. List the prime factors of l. 2, 3 Let s = 247 - 108. List the prime factors of s. 139 Let z(j) = -j - 4. Let v be z(-7). Suppose 0*m - v*m + 3 = 0. What are the prime factors of m/(-2) - 75/(-6)? 2, 3 Suppose -182 = -5*a - 4*g, a - 4*g = -0*a + 22. List the prime factors of a. 2, 17 Let c = -2 + 6. Let g = c + -3. Let q = 2 + g. What are the prime factors of q? 3 Let d(p) = -p**3 - p + 42. Let y be d(0). Suppose -u + 3*u = 5*v + y, 5*u - 51 = -v. What are the prime factors of u? 11 Let t = -2 + 17. Suppose 5*h - 2*r + 12 = 2*r, -4*h - t = -5*r. Suppose h = -3*n + f + 4, 4*f - 6 = 2. What are the prime factors of n? 2 Let g(f) = 3*f**3 + f**2 + 4*f - 3. List the prime factors of g(2). 3, 11 Let r = -1 + 1. Let f = 59 - 53. Suppose -8*a + f*a + 18 = r. What are the prime factors of a? 3 Let m = -235 + 547. List the prime factors of m. 2, 3, 13 Let w = -851 + 1280. List the prime factors of w. 3, 11, 13 Let a = -39 - -64. Let s = -12 + a. List the prime factors of s. 13 Suppose 8 = 5*u - 2*x - 3, -2*x = -4. List the prime factors of u. 3 Suppose -d + 3*q + 54 = 0, 3*d - 41 = -3*q + 145. List the prime factors of d. 2, 3, 5 Suppose -2*b + 156 = -b - 2*o, 4*o + 462 = 3*b. List the prime factors of b. 2, 3, 5 Let q = 123 - 55. Suppose o - 3 = u - 25, o + q = 3*u. What are the prime factors of u? 23 Suppose p + 30 = 6*p. Let v(m) = p*m - 3*m - 4 - 8*m. What are the prime factors of v(-4)? 2 Suppose 3*l - 4*x = -x + 24, -4*l - 3*x = 3. Suppose 3*m - l*n - 15 = -4*n, 5*m - 5*n = 5. List the prime factors of m. 2 Let x = 15 - 8. Suppose 5*l - 2*i = 39, -l - 2*i = -x - 8. What are the prime factors of l? 3 Let m be ((-30)/8)/((-3)/(-8)). Let l = m + 26. What are the prime factors of l? 2 Suppose 7*w = 3*w - 5*m + 258, 0 = 4*w + 4*m - 260. What are the prime factors of w? 67 Let u(p) = p - 4. Let w be u(10). Let a = -3 + w. Suppose -11 = -2*f + a. List the prime factors of f. 7 Suppose 4*c = n - 186, -n + 4 = -3*n. Let u = c + 69. Let g = 33 - u. What are the prime factors of g? 11 Let l(n) = -n - 1. Let x be l(-3). Let b(u) = -2*u**2 - 8 + 9*u + 2*u**x + 5*u**2 - 4*u**2. List the prime factors of b(-10). 2 Let b be (4 - (-6)/(-2)) + 46. Suppose -56 = -2*v - 4*m, -5*m - 108 - b = -5*v. List the prime factors of v. 2, 3, 5 Suppose -2*a + 30 = 3*h + 3*a, 4*h - 23 = -a. Suppose h*m - m - 44 = 0. List the prime factors of m. 11 Suppose -2*a + 5*a + 3*r - 108 = 0, 0 = 5*a - 4*r - 207. What are the prime factors of a? 3, 13 Suppose 2*x = 5*p - 133, 5*p = -x + 103 + 33. Let b = p + -12. List the prime factors of b. 3, 5 Suppose -3*c = -0*t + 4*t - 13, -2*c + 1 = -5*t. Let s be -3 - (2 - (t - -2)). What are the prime factors of (-63)/(-12) + s/8? 5 Let f = 93 - 36. List the prime factors of f. 3, 19 Suppose -3*s = 2*s - 25. Let v be 1/(32/10 - 3). Suppose 0*y = -3*y - 4*f + 18, 5*y = s*f - v. What are the prime factors of y? 2 Let v(z) be the second derivative of -z**3/3 + 3*z**2/2 - 3*z. List the prime factors of v(-5). 13 Suppose -d - 5 = -2*d. Suppose -25 = -2*j + 3*k, 0 = d*j + 5*k - 2*k - 10. List the prime factors of j. 5 Suppose 3*q = 3*t - 300, 1 = -2*q + 5. Suppose 0 = 5*d - 103 - t. List the prime factors of d. 41 Let x(d) = d**3 - 3*d**2 - d - 6. What are the prime factors of x(5)? 3, 13 Suppose 141 = -3*c + 6*c. What are the prime factors of c? 47 Suppose v + 1 = 5. Suppose v*u - 3*u = 5*l - 12, 3*l = 3*u. What are the prime factors of l? 3 Suppose 0 = 4*c + 4*o - 0 - 4, -5*o = 5. Suppose 3*x - 2 = 5*j + c, j - 3*x = -8. Let t(a) = 6*a**2 + 1. What are the prime factors of t(j)? 7 Let i = -5 + 3. Let c = i - -3. List the prime factors of (c + -10)/(-2 + 1). 3 Suppose 5*w = 4*w + 1. List the prime factors of w - (0 - (7 - 3)). 5 Suppose -3*l + 7 = 2*b, 5*b - 1 = -l + 23. Suppose b*z - 63 = 5*x + 17, 0 = 2*z + 3*x - 22. What are the prime factors of z? 2, 7 Suppose -q - 14 = -3*q. Suppose -3*f + 29 = -q. What are the prime factors of f? 2, 3 List the prime factors of (-7636)/(-18) - 11*22/1089. 2, 53 Let c = -11 - -7. Let y(o) = -o**2 - 8*o - 6. List the prime factors of y(c). 2, 5 Let g be 36*((-2)/8 + 1). Suppose -4*q + g = -q. List the prime factors of q. 3 Let w(m) = m**2 - 3*m + 1. Let h be w(5). Suppose 0 = -4*k + s + 10, 3*k - h + 3 = s. What are the prime factors of k? 2 Suppose -5*i + i + 156 = 0. What are the prime factors of i? 3, 13 Let n(d) be the first derivative of -d**3/3 - 4*d**2 - 4*d + 2. List the prime factors of n(-6). 2 Let a = -548 - -819. What are the prime factors of a? 271 Let f(y) = 5*y**3 - y**2 + 8*y - 14. Let b(x) = -6*x**3 - 8*x + 15. Let d(o) = -6*b(o) - 7*f(o). List the prime factors of d(-8). 2 Suppose 2*n - 20 = 4*w, 5*n - 4*w - 23 = -3*w. Let a(t) = -t**3 + 8*t**2 + 3*t - 2. Let h be a(n). List the prime factors of (-2)/6 - h/(-6). 2, 3 Let t(p) = p**3 + 4*p**2 - p - 2. Let a be t(-4). Let q = 4 + -2. Suppose a*i + 0 = 6, q*i = -5*f + 16. What are the prime factors of f? 2 Let v(b) = -b**3 + b + 7. Let g be v(0). Let i = 7 + g. What are the prime factor
{ "pile_set_name": "DM Mathematics" }
))/(9/12)? 1/6 What is the value of (5/((-20)/(-3)))/((-12)/(-8))? 1/2 ((-1)/(-4))/((-5)/(70/(-7))) 1/2 ((-3)/5)/((-216)/80) 2/9 What is (-14)/2*215/(-301)? 5 What is (-8)/32*-6*2? 3 Calculate ((-2)/1)/(100/(-400)). 8 (-6*4/(-32))/(117/(-78)) -1/2 What is the value of 5/(-2)*(-6)/45*-6? -2 Evaluate (24/324*-6)/(28/6). -2/21 What is the value of 42/28*(-4)/(-12)? 1/2 Evaluate (8*(-11)/44)/(-11). 2/11 Evaluate 1*(-3)/9*330/22. -5 Evaluate -1*1*((-8)/(-4))/10. -1/5 2*(10/5)/22 2/11 What is 3/(4/32*4)? 6 Calculate 5/((-30)/(-8))*(-198)/(-1056). 1/4 What is the value of 4*(-5)/(-5)*(-5)/(-70)? 2/7 What is the value of (-1)/(-1)*4/(-2)? -2 4/(-27)*(-24)/(-16) -2/9 6/(-2)*2/(-2) 3 What is the value of 2/(2*-1*(-3)/(-6))? -2 What is 6/(-10)*((-240)/32)/(-3)? -3/2 What is the value of (-13)/((-13)/(-6))*(-2)/(-6)? -2 What is 2*2*(-11)/22? -2 Evaluate 2/4*6/1. 3 Calculate ((-6)/(-16))/(2/((-4)/3)). -1/4 What is the value of 15/(-6)*38/(-475)? 1/5 2/(5*(-7)/(35/(-6))) 1/3 Evaluate 96/(-90)*15/(-20). 4/5 What is (2/36*-3)/((-60)/(-40))? -1/9 Evaluate (12/(-1))/(5/(80/(-32))). 6 What is the value of 6*(48/32)/((-9)/4)? -4 Evaluate 1/(-5*1/(-15)). 3 What is 6/(-1)*3*(-1)/66? 3/11 ((-8)/84)/((-11)/(-77)) -2/3 What is (10/25)/((-14)/10)? -2/7 (-6)/(-9)*(-1)/(2/(-3)) 1 Evaluate ((-6)/(-126)*2)/(6/(-18)). -2/7 Calculate (-16)/(-28)*-2*133/(-38). 4 Evaluate 30/(-35)*56/(-6). 8 What is (15/(-25))/(4/(-20))? 3 What is the value of (9/18)/(4/(-40))? -5 11/(-1056)*6*2/1 -1/8 What is -1*(-5)/(-1)*(-24)/30? 4 Calculate (12/(-459))/(((-750)/135)/25). 2/17 Evaluate ((-16)/(-14))/((-6)/(-7)). 4/3 ((-10)/3)/((-22)/(-33)) -5 Calculate 21/30*(16/(-7))/(-4). 2/5 Evaluate ((-3)/15)/(27/(-30)). 2/9 Calculate ((-4)/(-56))/(-1)*(-6)/3. 1/7 (20/6)/(4/6) 5 What is the value of ((-12)/80)/((5/(-1))/(-20))? -3/5 What is the value of (-3)/6*-2*(-9)/54? -1/6 What is 1/((-63)/(-168)*(-4)/6)? -4 What is (254/(-635))/(2/(-10))? 2 Evaluate (15/(-12))/((-8)/(-32)). -5 Calculate 13/(195/10)*30/(-4). -5 What is 2/15*3*225/(-540)? -1/6 (3/(-4))/(3/2) -1/2 Calculate (-69)/46*20/(-24). 5/4 Calculate (-57)/(-76)*(-6)/(-3)*-2. -3 What is 1/(24/128*(-4)/6)? -8 What is the value of (117/27)/(-13)*-21? 7 (2*(-12)/32)/((-3)/(-24)) -6 Calculate 32/12*(-3)/(-2). 4 (12*15/540)/(3/21) 7/3 Calculate (-6)/(-14)*(-6)/12*7. -3/2 What is ((-4)/(-12))/(11/(-33))? -1 Evaluate ((-5)/8)/(-1)*60/(-300). -1/8 What is 1*-10*-5*(-18)/150? -6 (-3)/54*8*(-13)/52 1/9 What is the value of 4/36*(-120)/(-20)? 2/3 What is (-57)/(-19)*2/(-10)? -3/5 Calculate ((16/(-3))/(-4))/(7/(-21)). -4 (((-29)/87)/((-1)/(-3)))/1 -1 Evaluate 10/4*192/80. 6 Evaluate (17/((-34)/(-8)))/(4/5). 5 (5/2)/(10/(-20)) -5 Calculate -4*5/(-40)*-2. -1 ((-10)/(-36))/(355/142) 1/9 What is the value of (-300)/810*3/(-5)? 2/9 What is (-16)/4*(-3)/24? 1/2 What is 4/16*65/13? 5/4 Calculate ((-1)/1)/(-3)*6. 2 What is ((-4)/((-80)/(-45)))/(6/16)? -6 2/((-8)/((-2)/1)) 1/2 (-10)/78*(-798)/665 2/13 What is -2*((-357)/(-6))/17? -7 What is (-10)/4*16/10? -4 Evaluate -1*1/((3/(-3))/(-3)). -3 2/2*(-170)/(-255) 2/3 (-10)/(-25)*90/(30/(-5)) -6 (-8)/2*(39/24)/(-13) 1/2 Calculate (-15)/10*-1*2/(-6). -1/2 Calculate 1*(21/(-7))/6. -1/2 4/80*-2*10/4 -1/4 Calculate (-18)/24*(-3)/(-18). -1/8 What is (3/9)/((-3)/(3*4))? -4/3 What is (-5)/1*54/(-1485)? 2/11 ((-2)/4)/(4*44/32) -1/11 Evaluate ((-8)/(-20))/((48/4)/6). 1/5 Calculate ((-40)/(-55))/(74/407). 4 375/150*(-4)/15 -2/3 Calculate ((-2)/(-6))/(1/((-3)/(-3))). 1/3 42/(-98)*4/6 -2/7 (15/45)/((-4)/84) -7 10/(-24)*-4*18/165 2/11 (350/(-245))/(6/(-21)) 5 What is (9/12*-2)/(-3)? 1/2 Evaluate ((-13)/((-26)/(-2)))/((-8)/(-14)). -7/4 (-54)/(-45)*(150/(-9))/(-5) 4 Calculate (1/(-4))/(26/52). -1/2 What is 2*(-5)/10*4/(-2)? 2 (-1)/(5/(-5))*-4 -4 What is the value of (4/20)/(4/(-4))? -1/5 What is (14*-2)/(4240/(-212))? 7/5 Calculate -2*(-6)/16*-8. -6 Calculate ((42/35)/(-2))/(1/(-5)). 3 What is the value of ((-12)/(-3))/(-40)*6/1? -3/5 (28/6)/(-7)*(-24)/16 1 Evaluate (2/3)/((-18)/(-81)). 3 ((-4)/(-10))/(9/(-90)) -4 What is the value of (-5)/(-2)*-2*1? -5 Calculate 3/(99/22)*3*1. 2 What is (((-240)/(-44))/5)/3? 4/11 ((-2)/(-6))/(7/(56/24)) 1/9 What is (-468)/(-273)*(-7)/2? -6 What is (-9)/(1134/(-35))*-3? -5/6 Evaluate 33/(1881/(-2))*-1*3. 2/19 What is the value of ((10/15)/((-4)/(-6)))/(-1)? -1 What is the value of 8/(64/(-2))*-28? 7 Calculate (-7)/((-490)/(-7))*-2. 1/5 What is ((-4)/(-22))/((-84)/84)? -2/11 Evaluate ((-7)/(-91))/(-1)*(-12)/(-6). -2/13 45/15*8/(-36) -2/3 Evaluate 6/(-8)*(-6)/9. 1/2 Evaluate -5*(8/(-4))/((-5)/1). -2 15/3*(-11)/(-55) 1 ((-8)/3)/((-3)/(27/6)) 4 What is the value of (((-952)/70)/17)/((-4)/(-10))? -2 What is (-209)/(-418)*1/6? 1/12 Calculate (42/(-140))/((-1)/10). 3 -3*((-3)/(-9))/1 -1 Calculate (1/1)/((-54)/(-18)). 1/3 Calculate ((-16)/((-24)/(-6)))/(-44). 1/11 Evaluate (-8)/(-6)*(-12)/(-104). 2/13 63/(-18)*(-16)/28 2 Calculate (7/(-14))/((-1)/(-10))*1. -5 Evaluate 1*(-1)/(-5*(-2)/10). -1 What is the value of ((-121)/3388)/(2/(-24))? 3/7 Calculate 7*3/(-42)*10/4. -5/4 Calculate ((-12)/(-18))/(4/(-6)). -1 Evaluate (18/21)/((-4)/(-28)). 6 What is the value of (4/6)/((-46)/276)? -4 Calculate (-50)/(-30)*(-1)/5*-12. 4 What is the value of 70/((-7)/1)*4/(-10)? 4 (-8)/(-6)*(9/(-10))/(-9) 2/15 What is (2/(-28))/(121/(-1694))? 1 Calculate (2/16)/(7/(-42)). -3/4 What is ((-30)/(15/(-5)))/(-2)? -5 ((-2)/(-12))/((-3)/(-18)) 1 (-30)/(-25)*(-23)/(-23) 6/5 (-1)/((-1)/(-3)*3) -1 What is 6/4*104/546? 2/7 What is ((20/(-15))/2)/((-22)/(-6))? -2/11 What is ((-6)/(-2))/(-3*(-8)/(-24))? -3 Evaluate (-102)/153*27/(-6). 3 (((-1)/(-1))/3)/((-1)/18) -6 Evaluate ((-1)/2)/(2/8). -2 What is the value of 2/6*54/6? 3 What is 3/(-6)*5/1*2? -5 (-6)/(5/(35/28)) -3/2 What is (2/8)/((-62)/248)? -1 What is the value of (-1)/(-7)*-1*(-49)/(-70)? -1/10 What is the value of (6/(-20))/((-1)/((-64)/48))? -2/5 (-3)/1*2*(-1)/2 3 Evaluate 22/(-99)*(-108)/4. 6 Evaluate 6/9*-2*(-3)/(-2). -2 What is the value of ((-10)/(-6)*-1)/(10/(-30))? 5 (48/(-352))/(6/(-8)) 2/11 Evaluate (20/(-12))/(-5)*12/4. 1 What is ((-3)/24)/1*(-4)/(-3)? -1/6 What is 2/(30/9)*260/(-364)? -3/7 What is 0/5*(-2)/(-2)? 0 Calculate (((-9)/(-6))/1)/(1/(-2)). -3 Evaluate (9/(-108))/(3/27). -3/4 What is (-1)/(-1)*(-1)/2? -1/2 ((-28)/24)/7*9/(-2) 3/4 Evaluate 4/4*1*0. 0 What is the value of 7/(7/(-6))*(-4)/40? 3/5 Evaluate (-3)/3*-3*1. 3 0/((8/(-28))/((-2)/28)) 0 What is ((-7)/14)/(1/6)? -3 Evaluate ((-20)/10)/(14/4). -4/7 What is the value of (4/52)/((-1)/(-2))? 2/13 Calculate (-1)/(5/((-40)/(-28))). -2/7 (-182)/(-273)*(-6)/4 -1 What is the value of (16/(-2))/(((-24)/(-4))/3)? -4 Evaluate (4*(-4)/(-32))/((-5)/6). -3/5 Evaluate (6/(-21))/((6/14)/(-1)). 2/3 Calculate 5/1*(-20)/75*3. -4 What is (-6)/(-20)*156/(-117)? -2/5 Evaluate ((0*7/35)/1)/1. 0 10*(-10)/225*5/(-20) 1/9 What is the value of -6*2/810*15? -2/9 Calculate (3/1)/((-5)/5). -3 What is the value of (105/(-140))/((-5)/(-4))? -3/5 Calculate ((-40)/(-68))/(2/17). 5 Calculate (-2)/4*(-18)/(-3). -3 What is the value of 4/20*(-45)/(-6)? 3/2 What is the value of 16/(-6)*(-24)/(-16)? -4 7/(-63)*0*(-2)/(-4) 0 1/(-5)*(-14)/(7/1) 2/5 Calculate -1*(4/6)/2. -1/3 Calculate (-2)/14*14/14. -1/7 (7/((-210)/20))/(2/(-3)) 1 Calculate (10/30)/((-2)/(-18)). 3 Calculate ((-1)/(-6))/((-9)/(-126)*7). 1/3 (19/(152/(-16)))/((-2)/(-2)) -2 (132/8)/(-11)*(-6)/3 3 What is the value of 0/(-6)*(-2)/(-4)? 0 Evaluate ((-30)/420)/(8/(-14)). 1/8 (4/28)/((-5)/15) -3/7 What is the value of ((-2)/4*2)/(1/(-3))? 3 Evaluate 3/(-13)*(-7)/((-42)/4). -2/13 Evaluate ((-42)/(-6))/42*6. 1 What is the value of (2/3)/(638/348)? 4/11 What is the value of ((-3)/(-15)*2)/(2/(-10))? -2 What is 15*(-24)/90*(-27)/(-18)? -6 Evaluate (-22)/(-88)*(-4)/38*-2. 1/19 What is the value of ((-8)/(-18))/((700/(-225))/(-14))? 2 What is the value of ((-4)/(-30))/((-1)/3)*-10? 4 (4/42)/((-11)/(-77)) 2/3 Evaluate (4/12)/(4*5/90). 3/2 Evaluate (-2*(-7)/14)/5. 1/5 3*-4*6/72 -1 (42/(-3))/((-140)/(-35)) -7/2 Calculate (3/18)/((-2)/3)*0. 0 What is the value of ((-48)/360)/((2/2)/3)? -2/5 Calculate (1/(-48)*-9)/(2/8). 3/4 What is 45/(-60)*6/9? -1/2 Evaluate ((-5)/(75/(-6)))/(10/10). 2/5 What is (-4)/(-3)*4/16? 1/3 Evaluate (1/3)/(11/132). 4 Calculate ((-56)/(-1456))/((-1)/4). -2/13 Evaluate 2/(
{ "pile_set_name": "DM Mathematics" }
lculate -49668 divided by -12417. 4 What is -218602 divided by 3769? -58 Calculate 17394 divided by 8697. 2 Divide 382855 by 11. 34805 Calculate 1980 divided by -60. -33 Calculate 0 divided by -442909. 0 What is 84351 divided by -5? -84351/5 Calculate -34485 divided by 6897. -5 What is 3 divided by -4359? -1/1453 Calculate -16372 divided by 5. -16372/5 What is 133 divided by -241? -133/241 Calculate 2 divided by 182261. 2/182261 Calculate -3 divided by -400098. 1/133366 Divide -577625 by 5. -115525 Divide -1071952 by 31528. -34 Calculate 78200 divided by 46. 1700 Calculate -65774 divided by 3. -65774/3 -6110 divided by -50 611/5 Calculate 79392 divided by 16. 4962 Divide -9751 by -4. 9751/4 Calculate -4985319 divided by 3. -1661773 Divide -520425 by 520425. -1 -292908 divided by -13314 22 Calculate 1135455 divided by 3849. 295 What is 121176 divided by 20196? 6 -448 divided by -37 448/37 -9076 divided by -1 9076 Divide 0 by -2039. 0 Divide -204 by 2. -102 Divide 3 by -103842. -1/34614 -55014 divided by -14 27507/7 Divide 12430 by 226. 55 What is -860814 divided by -6? 143469 Calculate 89081 divided by 4. 89081/4 Calculate 540449 divided by -10. -540449/10 644133 divided by 259 2487 What is 0 divided by -61218? 0 -9 divided by 337 -9/337 Divide -253120 by 1120. -226 -277586 divided by -4 138793/2 What is -804 divided by -268? 3 42 divided by -76 -21/38 What is -1632150 divided by 351? -4650 Divide -126720 by 1. -126720 Divide 278124 by 22. 12642 Calculate 3 divided by -600132. -1/200044 Calculate -279629 divided by -6503. 43 What is -18992 divided by 6? -9496/3 Calculate -147342 divided by -1. 147342 4 divided by 44279 4/44279 What is -29864 divided by 8? -3733 What is 515253 divided by -3? -171751 What is -391385 divided by 1? -391385 What is -2 divided by 385925? -2/385925 Divide 17664 by 4416. 4 Calculate -212508 divided by -4. 53127 What is -436848 divided by 228? -1916 Divide 2 by -104055. -2/104055 What is -2 divided by 924? -1/462 What is 1 divided by 603231? 1/603231 Divide 75680 by 946. 80 8991 divided by 81 111 Calculate -158076 divided by -4. 39519 Calculate 175281 divided by -2. -175281/2 Divide -1884330 by 5982. -315 What is 87435 divided by 4? 87435/4 What is -127426 divided by -9802? 13 What is 679 divided by -66? -679/66 What is -35732 divided by -8933? 4 Calculate -1475 divided by 11. -1475/11 Divide -103 by -142. 103/142 171235 divided by -23 -7445 What is 195534 divided by 102? 1917 1204203 divided by -8421 -143 Divide 22605 by 4. 22605/4 What is -109375 divided by -5? 21875 Divide 1 by -175950. -1/175950 What is -24242 divided by -6? 12121/3 Divide 2947800 by -4913. -600 -455600 divided by 4 -113900 -7 divided by -33028 7/33028 -522501 divided by 3 -174167 What is -225110 divided by 45022? -5 Divide -3 by 4825. -3/4825 Calculate -1662235 divided by -5. 332447 -3631 divided by -3 3631/3 Divide -37 by -2993. 37/2993 Divide 4 by -6712. -1/1678 What is -4 divided by 310603? -4/310603 Divide 113736 by -11. -113736/11 1512861 divided by -24801 -61 What is -3385 divided by -13? 3385/13 1508572 divided by -754286 -2 What is 34 divided by -5799? -34/5799 2 divided by 47 2/47 Divide 2209152 by 32. 69036 127667 divided by -5 -127667/5 -30192 divided by -5032 6 What is 34158 divided by 34158? 1 Divide -163 by 16727. -163/16727 37836 divided by 6 6306 Calculate -50 divided by 123. -50/123 Divide -3 by -45284. 3/45284 Divide -12091 by -207. 12091/207 Calculate 191 divided by 888. 191/888 Calculate -162028 divided by 4. -40507 4969158 divided by 828193 6 Divide 1912569 by 249. 7681 Calculate 670476 divided by 4. 167619 What is -400268 divided by 121? -3308 What is -361480 divided by 2? -180740 What is 23712 divided by 228? 104 Divide 10 by 43437. 10/43437 -155556 divided by 2682 -58 Calculate 885 divided by 162. 295/54 Calculate 141285 divided by -47095. -3 Divide -4408 by 3. -4408/3 Divide -80457 by -3. 26819 What is 305107 divided by 27737? 11 Divide -225 by 11835. -5/263 Divide -161552 by 4. -40388 What is 10516 divided by 2? 5258 What is 86922 divided by -1317? -66 677670 divided by 294 2305 Calculate 1383 divided by 3. 461 Calculate -19798 divided by -4. 9899/2 What is -365 divided by 464? -365/464 Calculate 1 divided by -99463. -1/99463 Divide 38105 by -6. -38105/6 What is 57335 divided by 8? 57335/8 Divide 27364 by 27364. 1 Divide 1 by 124706. 1/124706 14993 divided by -81 -14993/81 Calculate -260592 divided by 8. -32574 Divide 34959 by 5. 34959/5 What is 5116 divided by 5116? 1 What is 18092 divided by 1? 18092 What is 11 divided by 183615? 11/183615 What is -492280 divided by 4? -123070 Calculate 149408 divided by -4. -37352 Divide -74435 by 3. -74435/3 What is -716 divided by 1189? -716/1189 What is -8 divided by -163768? 1/20471 Divide 131172 by 21862. 6 Calculate 3215484 divided by -267957. -12 Divide 94 by 454. 47/227 10 divided by -8425 -2/1685 What is 4776995 divided by -5? -955399 31494 divided by 3 10498 Divide 5022992 by -81016. -62 Divide 4 by -1009. -4/1009 What is -3463 divided by 5? -3463/5 Calculate -1335 divided by 89. -15 What is -252 divided by -325? 252/325 Calculate 32449 divided by 23. 32449/23 -292155 divided by -5 58431 What is -301905 divided by 5? -60381 Divide 58730 by 14. 4195 -55479 divided by 12 -18493/4 Calculate -1512 divided by 584. -189/73 Divide 4375 by 7. 625 Divide -225405 by 45. -5009 What is 2719731 divided by -1933? -1407 90688 divided by 208 436 Divide -67453 by -13. 67453/13 -1026064 divided by -19732 52 What is -29 divided by 478? -29/478 24477 divided by -1 -24477 What is 185360 divided by 4? 46340 -897274 divided by 3 -897274/3 What is 603046 divided by 2? 301523 92972 divided by -23243 -4 Divide 96344 by 48172. 2 What is 1475016 divided by 368754? 4 Calculate -74595 divided by -15. 4973 Calculate 33288 divided by 8322. 4 -105664 divided by -52 2032 What is 5454940 divided by -272747? -20 Divide -2 by -114329. 2/114329 What is -5 divided by 942435? -1/188487 Calculate -74272 divided by -3376. 22 Divide 135 by -14859. -15/1651 Calculate 124 divided by 5655. 124/5655 What is 3886 divided by 8? 1943/4 Divide -195852 by -5154. 38 26128 divided by -16 -1633 Divide 32776 by 1. 32776 -368872 divided by -26348 14 682298 divided by -1 -682298 -44986 divided by 1 -44986 What is 1 divided by 60288? 1/60288 What is -78675 divided by -3? 26225 Calculate 101347 divided by -101347. -1 Divide 1360908 by 36. 37803 Divide 886476 by -31. -28596 What is 21 divided by 335? 21/335 Divide -110272 by 27568. -4 Calculate 91251 divided by -10139. -9 What is -83041 divided by -3? 83041/3 What is -99 divided by -9463? 99/9463 -1628151 divided by 542717 -3 Calculate -20372 divided by 10186. -2 12034 divided by -11 -1094 What is -129149 divided by -107? 1207 What is -1801 divided by -5? 1801/5 -139281 divided by 3 -46427 Divide 4 by 34544. 1/8636 What is -164444 divided by -28? 5873 Divide 286308 by 13014. 22 What is 7 divided by 168397? 7/168397 Divide -13 by -774. 13/774 What is 576 divided by 6? 96 What is -494538 divided by -3? 164846 Divide 3 by -8567. -3/8567 Divide -18 by -422. 9/211 Calculate 1509984 divided by -642. -2352 Calculate -4496 divided by 1. -4496 830380 divided by -166076 -5 What is -265 divided by 25820? -53/5164 Calculate 2181 divided by -8. -2181/8 Calculate 436128 divided by -462. -944 What is -121344 divided by -474? 256 What is 693 divided by 22? 63/2 What is -14 divided by 199? -14/199 Calculate -4829 divided by -651. 4829/651 -4443 divided by -3 1481 908770 divided by 181754 5 Calculate 514 divided by -6. -257/3 What is 8918 divided by 4? 4459/2 -216600 divided by -57 3800 What is -19537 divided by 6? -19537/6 Calculate 35028 divided by 6. 5838 What is 451423 divided by 1? 451423 Calculate -1269 divided by -75. 423/25 Calculate 13332 divided by 202. 66 Calculate 110970 divided by -18495. -6 Divide -12 by -13357. 12/13357 -36 divided by 46197 -4/5133 Divide 0 by 16475. 0 146054 divided by -2 -73027 Calculate -829282 divided by 1. -829282 Calculate 2184 divided by 364. 6 What is 4 divided by -144069? -4/144069 What is -71846 divided by 2? -35923 Calculate 145651 divided by 1. 145651 What is -4130 divided by -826? 5 -14035 divided by 48 -14035/48 20663 divided by -5 -20663/5 What is -3019
{ "pile_set_name": "DM Mathematics" }
rder. s, 5, -4 Let k(d) = 10*d. Let h(x) = -2*x. Let b(u) = 16*h(u) + 3*k(u). Let z be b(-3). Let n be 5/(-2)*z/(-10). Put n, -3, -1 in ascending order. -3, -1, n Let r = 158 - 142. Put 2, 4, 3, r in ascending order. 2, 3, 4, r Suppose -5 = -3*t - 2. Let n be -4*t - (25 - 16). Sort -1, n, 3. n, -1, 3 Let t = 51 + -51.4. Let q = -37/105 - -1/15. Put t, q, -0.07 in increasing order. t, q, -0.07 Let w be 8/66*(-9)/6. Let j(m) = -14*m + 54. Let u be j(4). Let k = -1 - -2. Put w, k, u in ascending order. u, w, k Let f be -7 - (12 - 72)/10. Put 0, 0.3, f, -0.07 in decreasing order. 0.3, 0, -0.07, f Let d = -3.22 + 3.02. Sort -41, 0.4, 1/6, d. -41, d, 1/6, 0.4 Let i = 60 - 32. Suppose -i*f + 15 = -31*f. Let b(q) = -2*q - 7. Let u be b(-5). Sort 0.07, f, u in decreasing order. u, 0.07, f Let k = 330 + -330. Let x = 0.1 + -0.4. Put x, 2, 4/7, k in increasing order. x, k, 4/7, 2 Let j be -10*(6/(-4) + 2). Let q(u) = -u**3 + 4*u**2 + 19*u + 13. Let a be q(7). Sort a, -4, j in increasing order. j, -4, a Let n(m) = m + 3. Let t be n(-4). Put 0, t, -3, 2 in descending order. 2, 0, t, -3 Suppose -l - 4*j = -20, 28*l - 30*l + j + 4 = 0. Put 32, 13, -3, l in ascending order. -3, l, 13, 32 Suppose 21*s - 16*s - 40 = 0. Suppose 5*d = -17 - s. Put -1, d, 3, -3 in decreasing order. 3, -1, -3, d Let p = -1257 + 1259. Put p, -1, -4, 30 in increasing order. -4, -1, p, 30 Let r be (0 + -1)*6/2. Suppose 0 = -2*v + 26 - 4. Suppose -3*l + p = -14, -2*l + 0*p + v = p. Sort -5, l, r in decreasing order. l, r, -5 Suppose -15*m + 405 - 60 = 0. Let p = m - 47/2. Put 2, p, -5 in descending order. 2, p, -5 Let p = 13 + -14. Let u(c) = c**2 - 3*c - 1. Let m be u(4). Let f = p + m. Put 3, 5, f in ascending order. f, 3, 5 Suppose -3*q - 6*g = -6, -g = g + 2. Sort q, -1, -169. -169, -1, q Let r = 112/39 + -46/13. Sort r, -0.06, 3/4, 0.3 in decreasing order. 3/4, 0.3, -0.06, r Let f = 423 - 427. Let c = -16 - -11. Let z be (-8)/(-5)*(-2)/4. Sort c, z, f. c, f, z Let k = 1422 + -1417. Sort k, 3/5, -1, -0.1 in decreasing order. k, 3/5, -0.1, -1 Let w = 0.8 - 1. Let j = 0.3 + w. Let g = 262 + -263. Put -2, j, g in decreasing order. j, g, -2 Let f be 6/(-4)*-1*6/12. Put -9/4, 2, f in increasing order. -9/4, f, 2 Let w(b) be the first derivative of b**4/4 - 4*b**3/3 - b**2 + 2*b - 6. Let s be w(4). Sort s, 4, -5. s, -5, 4 Let g = 53/4 + -25/2. Let f = -5 + 2. Let m = f + 1. Put m, g, 3 in decreasing order. 3, g, m Let c = -327 + 322. Sort c, 79, 1, -4 in decreasing order. 79, 1, -4, c Let n be 10/(-2) - (-15 - (60 - 3)). Sort n, 5, -4 in increasing order. -4, 5, n Let s(b) = b**3 + 5*b**2 + 2*b + 1. Let d be s(-3). Let p = 38 + -34. Sort 1, -5, d, p in increasing order. -5, 1, p, d Let b be (-8)/18 - (0 - 0). Suppose 5*l + y = -24 + 52, 5*y = -l + 44. Put -0.2, 2/13, b, l in ascending order. b, -0.2, 2/13, l Suppose 4*h + 13 = 29. Let i be h - -10 - -4 - 3. Suppose i = -3*x, -5*n - 4*x = -3*n + 12. Put -4, 2, n in descending order. n, 2, -4 Let r be 12*(-2)/(-20)*120/18. Put 5, 3, r, 1 in descending order. r, 5, 3, 1 Suppose h = -h - 8. Let b be (5/3)/5 - 168/(-36). Sort 3, h, b. h, 3, b Let a(u) = 2*u + 3. Let z be a(12). Let y be (-6)/z + 215/(-45). Suppose 4*j + 4 = 2*t + 5*j, 5*t = 5*j + 40. Put 1, y, t in decreasing order. t, 1, y Let m be ((-8)/12)/2 + (-101)/3. Put -2, m, -1 in ascending order. m, -2, -1 Let w = 46 - 46.016. Let u = -0.516 - w. Suppose 0*i - i + 21 = 4*h, 5*i = 2*h - 5. Sort u, -1, i in increasing order. -1, u, i Let x be 3 - (114/27 - -1). Sort 4, 19, x in ascending order. x, 4, 19 Let c = -0.32 - 5.68. Let h = 11 + c. Let n = 0.07 - 3.07. Sort -2, n, h. n, -2, h Let f = -0.6 - 0.4. Let u = f + 1.5. Put u, -3, 4 in increasing order. -3, u, 4 Let f = -0.419 - -0.419. Sort -16, f, 0.4. -16, f, 0.4 Let f(d) = -5*d - 5. Suppose -13 = 3*z - 16. Let x be f(z). Let j = 3 + -5. Sort 4, j, x in decreasing order. 4, j, x Let q be ((-28)/3)/(-7)*-3. Let b = 60 + -121/2. Sort b, 5, -1/5, q in decreasing order. 5, -1/5, b, q Let f = 6 + -4. Let s be f/(-1) - -9 - 1*3. Put -2, -1, 0, s in increasing order. -2, -1, 0, s Let w(d) = -2*d - 4. Let s be w(-6). Let j = -291 - -290. Put j, 2, s in increasing order. j, 2, s Let m = 510 + -509.85. Sort 2/7, -5/8, m in ascending order. -5/8, m, 2/7 Suppose -25 = -3*x - 4*k, 3*x - 5*k + 32 = 7*x. Suppose 0 = 2*t + 2*o - 8, -2*t - 216 = -2*o - 236. Suppose 0*h = h + 4. Sort x, h, t in descending order. t, x, h Let a = -3.7 - 2.6. Let r = a + 6.3. Sort -0.5, 0.3, r, 5 in increasing order. -0.5, r, 0.3, 5 Let m = 14 + -18. Suppose -4 = -4*r - 0. Let a be (m + 1 + r)/(-2). Put a, 4, 3 in increasing order. a, 3, 4 Let w = 799 - 304. Let f be (11/w)/(3/18). Let n = 13/6 + -3/2. Put -0.3, f, n in descending order. n, f, -0.3 Suppose -7*b - 22 = -15. Let l be ((-4)/(-6))/((-39)/(-45) + b). Put l, 3, 7 in ascending order. l, 3, 7 Let r = -86.8 + 87.3. Let u = -0.2 - -2.2. Sort u, 1/3, r in descending order. u, r, 1/3 Let d be 5 - 6 - (-15 + (-4)/(-2)). Suppose -x = -6*x + 15. Sort -4, d, x in descending order. d, x, -4 Let w = 1.7 - 6.7. Let j = 0.33 - -1.67. Sort w, j, 3/4, -4/7 in ascending order. w, -4/7, 3/4, j Let a(b) = b**2 - 9*b - 39. Let t be a(12). Put 0.8, t, 3/2 in descending order. 3/2, 0.8, t Let h = 3.55 - 3.65. Let v = 0 + 1. Let f be (-13)/40 + 1/5. Put f, v, h in descending order. v, h, f Suppose 5*o - 1 = -2*d + 1, 16 = -2*o - 5*d. Sort 5, -594, o. -594, o, 5 Let x be ((-2)/8)/(1/(-4)). Let j(d) = 3*d + 1. Let i be j(x). Sort i, 5, 3 in increasing order. 3, i, 5 Let n = -27 - -35. Let z be 2 - (0 - (-320)/162). Let d = 73/324 + z. Put n, 1/3, d in descending order. n, 1/3, d Let y(h) = -h**3 + 10*h**2 + 3. Let v(b) = 11*b**2 + 3*b + 2. Let r be v(-1). Let a be y(r). Put a, -4, 7 in descending order. 7, a, -4 Let q be (-89)/7 - (-2)/(-7). Let c = -18 - q. Let j be (1/(-3))/((-8)/(-72)) + 3. Put -6, j, c in increasing order. -6, c, j Let t = -58.1 + 61.1. Put -8, -5, t, 0.5 in ascending order. -8, -5, 0.5, t Let i = 0.7 + -2.1. Let q = 1.2 + i. Let x be 24/(-27) - 4/(-6). Sort 1/3, x, q in decreasing order. 1/3, q, x Let v = 320.5 + -320.4. Put v, 12, -4/3 in increasing order. -4/3, v, 12 Let w = 1.95 - 2. Let u = -0.69 - 1.19. Let m = -0.12 + u. Sort m, w, -1/4 in increasing order. m, -1/4, w Let i = -0.1 + 1.1. Let a = -3.451 - 0.049. Let h = a - -3.9. Sort -0.5, h, i. -0.5, h, i Let y = 68.96 - 69. Sort y, -2, -6, 5 in ascending order. -6, -2, y, 5 Let b(p) be the third derivative of -p**6/120 - 11*p**5/30 - 5*p**4/3 + 7*p**3/6 - 55*p**2. Let s be b(-20). Let j = -2 + 3. Put j, s, 0.4 in ascending order. 0.4, j, s Let z = -2.3 - -3. Suppose -41*x = -12 - 29. Sort z, 3/7, x, 2 in increasing order. 3/7, z, x, 2 Let a be (-1)/(-7) - (-9536)/(-1043). Sort a, -4, 1, 47 in increasing order. a, -4, 1, 47 Let y(z) = z**2 - 3*z + 3. Let o = -14 - 6. Let x = o - -23. Let d be y(x). Put 5, -1, d in decreasing order. 5, d, -1 Let x = -2 - -4. Let j = -49.1 + 46.1. Put j, 3, x in ascending order. j, x, 3 Let t(y) = y**2 + 2*y**2 - 4*y**2 + 5*y + 8. Let o be t(6). Let f be 23/(-253)*(-5 + 16). Sort f, o, 0 in decreasing order. o, 0, f Suppose 2*h - 5*k + 14 = -4, 25 = 5*h + 5*k. Let p = -10309 - -10304. Sort p, h, -3, 0 in increasing order. p, -3, 0, h Let f be 12 + (-228)/20 + (-4)/(-10). Let y be 4/(-8) - 10/4. Sort y, f, -1, 5. y, -1, f, 5 Suppose -5*r = -4*y + 3, 5*r - 21 = -5*y - 51. Sort -5, r, 5/9, 0.5. -5, r, 0.5, 5/9 Let b = -5 + 4. Suppose -15 = 9*z + 21. Put b, 6, 2, z in decreasing order. 6, 2, b, z Suppose 5*f - 15 - 10 = 0. Suppose -t + 27 = 4*s, f*s - 3 - 30 = -t. Put -2, s, 3 in descending order. s, 3, -2 Let t = 647/6 - 217/2. Let f = 3.2 - 3. Sort t, f, -5/2, -3. -3, -5/2, t, f Let x(h) = -h - 7. Let z be x(7). Let d = 404 + -402. Put z, -2, d in decreasing order. d, -2, z Let b = -223 - -214. Suppose -7 = -2*m - 15. Put 1, b, m in decreasing order. 1, m, b Suppose -26*k = -10*k + 12*k + 56. Let u be -12*(2 - (-14)/(-4)). Suppose 3*b - u = b. Put k, b, -4 in increasing order. -4, k, b Let p = -13.73 - -13.93. Put p, 1/4, -1/6, -0.4 in ascending order. -0.4, -1/6, p, 1/4 Suppose b + 2*b = -3, 0 = -3*j - 2*b - 8. Let l = -1 + 6. Put l, 4, j in decreasing order. l, 4, j Suppose 0 = 2*g + 9*k - 4*k + 10, 0 = -3*g + k + 2.
{ "pile_set_name": "DM Mathematics" }
-2610, -2515, -2382, -2205, -1978? k**3 + 4*k**2 - 2*k - 2730 What is the l'th term of -102, 23, 174, 357, 578, 843? l**3 + 7*l**2 + 97*l - 207 What is the n'th term of 1406, 5634, 12682, 22550, 35238, 50746, 69074? 1410*n**2 - 2*n - 2 What is the c'th term of -458, -491, -542, -617, -722, -863, -1046, -1277? -c**3 - 3*c**2 - 17*c - 437 What is the x'th term of 1869, 4782, 7695, 10608, 13521? 2913*x - 1044 What is the m'th term of 2139, 4171, 6211, 8265, 10339, 12439, 14571? m**3 - 2*m**2 + 2031*m + 109 What is the p'th term of 9181, 9182, 9189, 9208, 9245, 9306? p**3 - 3*p**2 + 3*p + 9180 What is the v'th term of -3078, -3057, -3022, -2973? 7*v**2 - 3085 What is the n'th term of -41408, -82818, -124228? -41410*n + 2 What is the j'th term of -1736, -3452, -5168, -6884? -1716*j - 20 What is the v'th term of 17722, 35453, 53162, 70837, 88466? -2*v**3 + v**2 + 17742*v - 19 What is the m'th term of 685183, 685182, 685181, 685180, 685179? -m + 685184 What is the s'th term of 1582, 6345, 14286, 25405, 39702, 57177, 77830? 1589*s**2 - 4*s - 3 What is the p'th term of -164, -1390, -4718, -11198, -21880, -37814? -175*p**3 - p**2 + 2*p + 10 What is the k'th term of 150305, 150302, 150299? -3*k + 150308 What is the r'th term of 2366, 2330, 2246, 2090, 1838, 1466, 950? -4*r**3 - 8*r + 2378 What is the i'th term of -1039, -1025, -1011, -997, -983? 14*i - 1053 What is the p'th term of 16909, 16906, 16903, 16900, 16897? -3*p + 16912 What is the f'th term of -25, -56, -81, -82, -41? 3*f**3 - 15*f**2 - 7*f - 6 What is the t'th term of 107, -165, -611, -1237, -2049, -3053? -t**3 - 81*t**2 - 22*t + 211 What is the z'th term of 37, 188, 459, 862, 1409, 2112? 2*z**3 + 48*z**2 - 7*z - 6 What is the z'th term of 313794, 627589, 941384, 1255179? 313795*z - 1 What is the z'th term of -240, -275, -316, -369, -440, -535, -660? -z**3 + 3*z**2 - 37*z - 205 What is the b'th term of 127617, 127619, 127621, 127623? 2*b + 127615 What is the k'th term of -2314, -4611, -6786, -8779, -10530, -11979, -13066, -13731? 10*k**3 + k**2 - 2370*k + 45 What is the x'th term of -234, -85, 172, 543, 1034, 1651, 2400, 3287? x**3 + 48*x**2 - 2*x - 281 What is the x'th term of 217, 244, 285, 340, 409, 492, 589? 7*x**2 + 6*x + 204 What is the l'th term of 3315, 3312, 3307, 3300, 3291? -l**2 + 3316 What is the s'th term of 2700, 2625, 2524, 2385, 2196, 1945, 1620? -2*s**3 - s**2 - 58*s + 2761 What is the i'th term of 139, 267, 395, 523, 651? 128*i + 11 What is the j'th term of 212, 923, 2138, 3851, 6056, 8747, 11918, 15563? -j**3 + 258*j**2 - 56*j + 11 What is the k'th term of -3885, -3413, -2627, -1527, -113, 1615? 157*k**2 + k - 4043 What is the w'th term of -201, 66, 801, 2238, 4611? 39*w**3 - 6*w - 234 What is the x'th term of 419, 432, 455, 488, 531, 584, 647? 5*x**2 - 2*x + 416 What is the y'th term of 52185, 52180, 52175, 52170, 52165, 52160? -5*y + 52190 What is the a'th term of -94, -537, -978, -1417, -1854, -2289, -2722? a**2 - 446*a + 351 What is the u'th term of -2631, -5266, -7901, -10536? -2635*u + 4 What is the l'th term of -157567, -157569, -157571, -157573, -157575? -2*l - 157565 What is the x'th term of -2754965, -2754964, -2754963, -2754962? x - 2754966 What is the u'th term of -64, -350, -816, -1444, -2216, -3114, -4120, -5216? 3*u**3 - 108*u**2 + 17*u + 24 What is the s'th term of 30, -720, -3028, -7674, -15438, -27100? -130*s**3 + s**2 + 157*s + 2 What is the s'th term of -20703, -41409, -62119, -82833, -103551, -124273, -144999? -2*s**2 - 20700*s - 1 What is the y'th term of 3996, 3990, 3980, 3966, 3948, 3926? -2*y**2 + 3998 What is the g'th term of -84, -97, -122, -159, -208, -269, -342? -6*g**2 + 5*g - 83 What is the y'th term of 115, 214, 385, 634, 967, 1390, 1909, 2530? y**3 + 30*y**2 + 2*y + 82 What is the v'th term of -557, -2663, -6171, -11081, -17393, -25107, -34223? -701*v**2 - 3*v + 147 What is the a'th term of -408, -451, -494, -537? -43*a - 365 What is the l'th term of -261318, -522637, -783956, -1045275, -1306594, -1567913? -261319*l + 1 What is the c'th term of -247, -432, -557, -592, -507? 5*c**3 - 220*c - 32 What is the z'th term of 20937, 41874, 62811, 83748, 104685, 125622? 20937*z What is the r'th term of -81525, -163047, -244565, -326079, -407589, -489095, -570597? 2*r**2 - 81528*r + 1 What is the f'th term of -5328, -10673, -16044, -21441, -26864, -32313? -13*f**2 - 5306*f - 9 What is the b'th term of 2921, 2959, 3031, 3143, 3301, 3511? b**3 + 11*b**2 - 2*b + 2911 What is the o'th term of 1044, 2093, 3214, 4443, 5816, 7369, 9138? 6*o**3 + 1007*o + 31 What is the y'th term of -69, -164, -247, -312, -353, -364, -339, -272? y**3 - 102*y + 32 What is the i'th term of 1035, 4285, 9703, 17289, 27043, 38965, 53055? 1084*i**2 - 2*i - 47 What is the r'th term of 11178, 22356, 33536, 44718, 55902? r**2 + 11175*r + 2 What is the y'th term of 358766, 358764, 358762, 358760? -2*y + 358768 What is the n'th term of -2452, -2504, -2556? -52*n - 2400 What is the l'th term of 2057, 2069, 2081? 12*l + 2045 What is the y'th term of 273, 2231, 7593, 18063, 35345? 284*y**3 - 2*y**2 - 24*y + 15 What is the l'th term of 45368, 90744, 136126, 181514, 226908, 272308, 317714? 3*l**2 + 45367*l - 2 What is the q'th term of 12260, 12255, 12250, 12245, 12240? -5*q + 12265 What is the t'th term of 499514, 499520, 499530, 499544, 499562, 499584, 499610? 2*t**2 + 499512 What is the v'th term of 1009, 970, 931? -39*v + 1048 What is the a'th term of -34332, -68658, -102984, -137310, -171636? -34326*a - 6 What is the f'th term of 14829, 29658, 44487, 59316, 74145, 88974? 14829*f What is the r'th term of 24312, 24296, 24270, 24234, 24188, 24132, 24066? -5*r**2 - r + 24318 What is the z'th term of 14205, 28379, 42553? 14174*z + 31 What is the h'th term of 3381, 2564, 1747? -817*h + 4198 What is the i'th term of -14538, -14905, -15896, -17823, -20998? -52*i**3 - 3*i - 14483 What is the b'th term of 2204, 2146, 2018, 1796, 1456? -4*b**3 - 11*b**2 + 3*b + 2216 What is the n'th term of -133, -1035, -3505, -8335, -16317? -132*n**3 + 8*n**2 - 2*n - 7 What is the p'th term of -50975, -101991, -153007, -204023, -255039, -306055? -51016*p + 41 What is the n'th term of -25, -53, -113, -211, -353? -n**3 - 10*n**2 + 9*n - 23 What is the k'th term of 758, 770, 788, 812? 3*k**2 + 3*k + 752 What is the w'th term of 49, 205, 459, 817, 1285? w**3 + 43*w**2 + 20*w - 15 What is the z'th term of 569, 2629, 6173, 11201, 17713? 742*z**2 - 166*z - 7 What is the p'th term of -5774, -5342, -4628, -3638, -2378, -854? -p**3 + 147*p**2 - 2*p - 5918 What is the t'th term of 322, 1371, 3126, 5593, 8778? t**3 + 347*t**2 + t - 27 What is the w'th term of -3562, -3598, -3632, -3664, -3694, -3722, -3748? w**2 - 39*w - 3524 What is the a'th term of -876, -3018, -6424, -11094, -17028, -24226? -632*a**2 - 246*a + 2 What is the d'th term of -20986, -20999, -21012, -21025, -21038? -13*d - 20973 What is the b'th term of 225, 413, 727, 1167, 1733, 2425, 3243? 63*b**2 - b + 163 What is the f'th term of -87278, -349116, -785512, -1396466, -2181978, -3142048? -87279*f**2 - f + 2 What is the a'th term of 170650, 170646, 170642, 170638, 170634? -4*a + 170654 What is the y'th term of -219622, -219621, -219620, -219619, -219618? y - 219623 What is the v'th term of 1078, 4342, 9796, 17446, 27298, 39358, 53632, 70126? v**3 + 1089*v**2 - 10*v - 2 What is the x'th term of -350, -1342, -2990, -5294, -8254, -11870? -328*x**2 - 8*x - 14 What is the w'th term of 2, 29, 56, 83? 27*w - 25 What is the v'th term of 478, 822, 1396, 2200, 3234, 4498? 115*v**2 - v + 364 What is the m'th term of 2250, 2275, 2300, 2325? 25*m + 2225 What is the b'th term of 4928, 4931, 4934, 4937? 3*b + 4925 What is the s'th term of 114202, 228410, 342620, 456832, 571046? s**2 + 114205*s - 4 What is the l'th term of -4390, -4393, -4396, -4399, -4402, -4405? -3*l - 4387 What is the a'th term of 64566, 64568, 64570, 64572, 64574, 64576? 2*a + 64564 What is the m'th term of -53284, -53290, -53300, -53314, -53332? -2*m**2 - 53282 What is the z'th term of -401, 75, 875, 2005, 3471? z**3 + 156*z**2 + z - 559 What is the u'th term of -112, -644, -2080, -4870, -9464, -16312, -25864? -75*u**3 - 2*u**2 - u - 34 What is the f'th term of -207, -398, -589, -780? -191*f - 16 Wha
{ "pile_set_name": "DM Mathematics" }
ulate -2*f(c) - 2*p(c). 1730*c**2 - 2*c Suppose 3*y - 4*p + 9 = 32 - 5, 0 = 3*p + 27. Let m(q) = -6 + 7*q - 2*q - q. Let u(d) = 5*d - 7. Give y*m(v) + 5*u(v). v + 1 Let f = 8 + -19. Let t(o) = 6*o - 2. Let j(b) = 39*b - 21. Let p(a) = -j(a) + 6*t(a). Let d(c) = 5*c - 17. Calculate f*p(k) - 6*d(k). 3*k + 3 Suppose 85*g = 40 - 805. Suppose r + 26 = -r. Let t = g - r. Let w(h) = -6*h**2 + 4*h. Let l(u) = 17*u**2 - 11*u. Give t*l(v) + 11*w(v). 2*v**2 Let h(s) = -8*s**3 - s**2 + s. Let l(m) = 829*m**3 - 6*m**2 + 8*m. What is 6*h(n) - l(n)? -877*n**3 - 2*n Let i be -2*(-4)/((-56)/21). Let r(m) = -5*m + 10. Let k(s) = -14*s + 29. What is i*k(x) + 8*r(x)? 2*x - 7 Let k(j) = -j**2 - j - 1. Suppose 0 = -2*c - 3*n - 8, c = -3*c + 2*n + 16. Let l be (-1)/(2/8) + c - -3. Let o(m) = m**2 + 2*m + 2. Calculate l*o(a) + 2*k(a). -a**2 Let i(r) = 15*r**3 - 20*r**2 - 3*r + 8. Let c(d) = 23*d**3 - 20*d**2 - 4*d + 10. Calculate -3*c(y) + 4*i(y). -9*y**3 - 20*y**2 + 2 Let v(y) = -8*y - 3. Let g(z) = 1 - 4*z - 3 + 0. Let h(x) = -613*x - 63746. Let a be h(-104). Give a*v(j) - 10*g(j). -8*j + 2 Let o(t) = 2152*t**3 - 8*t - 8. Let h(x) = 2*x**3 + x + 1. What is 8*h(n) + o(n)? 2168*n**3 Let j(k) = -k**2 + k. Let p = -176 - -178. Let r(u) = 2 - 2*u**2 - 4*u**2 + 16*u**p - 3*u**2 - 7*u. Give -5*j(t) - r(t). -2*t**2 + 2*t - 2 Let u(m) = -49*m + 44. Let b(n) = 100*n - 76. Calculate -4*b(z) - 7*u(z). -57*z - 4 Suppose -10*u + 2*u + 45 = -3*u. Let r(a) = -2*a**3 - 4*a - 1. Let h(w) = -w**3 - 2*w. What is u*h(x) - 4*r(x)? -x**3 - 2*x + 4 Let w(c) = 5*c**2. Let m(i) = 51*i**2. Suppose 13*l - 404 = 9*l. Suppose -b - 97 = 4*k, 308 = -5*b - k - l. Let n = -60 - b. What is n*w(g) - 2*m(g)? 3*g**2 Let v(j) = -6077*j**3 + 72*j**2 + 4*j - 4. Let m(r) = -9237039*r**3 + 109458*r**2 + 6081*r - 6081. Determine 4*m(h) - 6081*v(h). 6081*h**3 Let x(p) = -11*p**2 - 14*p + 15. Let v(g) = -4*g**2 - g - 1. Let c(i) = -5*v(i) + x(i). Let k(h) = 3*h**2 - 3*h + 7. Give -6*c(j) + 17*k(j). -3*j**2 + 3*j - 1 Let h(k) = -6*k - 19. Let j(z) = -21*z + 78. Let c be j(4). Let t(n) = -3*n - 10. Determine c*h(a) + 11*t(a). 3*a + 4 Let y(s) = 7737*s**3 - 7*s**2 + 124. Let r(c) = 5158*c**3 - 5*c**2 + 89. Calculate 7*r(v) - 5*y(v). -2579*v**3 + 3 Let a(g) = 5*g**2 - 5. Let y(t) = 26*t**2 - 26. Let x be -1*((-24)/(-16) + (-2)/4). Let l be (10/20)/(x/(-6)). Suppose 0*m = m + 16. Calculate l*y(b) + m*a(b). -2*b**2 + 2 Let r(w) = 1. Let v(b) = 2*b**2 - 9. Suppose 0 = o - 65*a + 62*a + 1, 4*o + 4 = -3*a. Determine o*r(n) - v(n). -2*n**2 + 8 Let u(n) = -117*n + 43. Let d(m) = -115*m + 42. Give -6*d(f) + 5*u(f). 105*f - 37 Let p(o) = 10*o**3 + 5*o**2 - 11*o + 5. Let k(v) = 5*v**3 + 2*v**2 - 5*v + 2. Suppose 3*t + 4*d = -5, 0 = -3*t + 93*d - 88*d + 40. Give t*k(r) - 2*p(r). 5*r**3 - 3*r Let f(s) = 37715782*s**3 + 43538*s - 21769. Let z(w) = -13861*w**3 - 16*w + 8. Give -8*f(k) - 21769*z(k). 13853*k**3 Let j(l) = 491*l**2 - l + 15. Let s(c) = -981*c**2 + 2*c - 34. Determine -9*j(d) - 4*s(d). -495*d**2 + d + 1 Let w(c) = -9*c. Let s(m) = -14*m. Let u(h) = -5*s(h) + 7*w(h). Let g(a) = -2788 + 582 - 20*a + 546 + 554 + 556 + 551. What is 6*g(r) + 17*u(r)? -r + 6 Let t(m) = -9*m - 2576. Let r(f) = -19*f - 5284. Give -6*r(z) + 13*t(z). -3*z - 1784 Let q(i) = -1. Let v(f) be the first derivative of f**2 + 5*f - 2287. Calculate -2*q(c) + v(c). 2*c + 7 Suppose -10*o - 10*o = -40. Let r(a) = 25 - 16 - a**o - 11 + 2*a. Let t(w) = w**2 - 2*w + 1. Calculate 2*r(i) + 3*t(i). i**2 - 2*i - 1 Let f(q) = 8*q - 6. Let a(c) = 15*c - 11. Let y = 224 + 176. Let p(d) = -y + 403 + d**2 + 0*d**2 - 6*d. Let t be p(3). Calculate t*a(n) + 11*f(n). -2*n Let f(p) = 23*p**2 + p - 17. Let z(h) = -39*h**2 - 2*h + 32. Let y(q) = 7*f(q) + 4*z(q). Let w(g) = 2*g**2 + 5. What is -5*w(i) + 3*y(i)? 5*i**2 - 3*i + 2 Let q(s) = 3*s - 3. Let u(m) = 37. Let x(r) = 22. Let a be (-6 - -1)*(4/2 - 3). Let z(w) = a*x(w) - 3*u(w). Give q(y) - 5*z(y). 3*y + 2 Let t(f) = 875*f**2. Let c(h) be the second derivative of 23*h**4/6 + 1963*h. Give 56*c(q) - 3*t(q). -49*q**2 Let m(a) be the second derivative of 0 - 3/20*a**5 - 80*a - 13/2*a**2 - 3/4*a**4 + 7/6*a**3. Let u(r) = 2*r**3 + 6*r**2 - 5*r + 9. What is 5*m(j) + 7*u(j)? -j**3 - 3*j**2 - 2 Let m(r) = -2*r + 6. Let g(u) = -246*u + 35. Calculate -g(i) + 5*m(i). 236*i - 5 Let l(u) = 5*u - 26. Let w(t) = 14*t - 77. Suppose 26*m + 23 - 101 = 208. Determine m*l(x) - 4*w(x). -x + 22 Let r(q) be the first derivative of 2*q**2 - 9*q - 2154. Let b(s) = 3*s - 10. Give -3*b(w) + 2*r(w). -w + 12 Let i(m) = -2*m + 1. Let g(r) = 2*r - 2. Let q = 151 + -122. Let x = q + -34. Calculate x*i(v) - 4*g(v). 2*v + 3 Let f(j) = -9*j - 3. Let b(r) = -67*r - 1257. Give -b(n) + 8*f(n). -5*n + 1233 Let s(g) be the third derivative of -g**4/24 + g**3/6 - 1691*g**2. Let n(z) = 5*z**2 + 4*z - 1. What is -n(j) - 2*s(j)? -5*j**2 - 2*j - 1 Let o = -15817 + 15813. Let t(x) = -5*x - 3. Let a(u) = -9*u - 8. Let h(d) = -d - 1. Let c(j) = 3*a(j) - 21*h(j). What is o*t(g) + 3*c(g)? 2*g + 3 Let c(r) be the first derivative of 27*r**4/4 + 36*r - 4. Let n(s) = 1 + 9*s**3 - 11*s**3 + 5*s**3 - 12*s**3 + 10*s**3. Give c(v) - 36*n(v). -9*v**3 Let m(q) = 3*q. Let n(u) = 2*u. Suppose 2*y = 3*y - 9. Let l be (3 - y)*16/6. Let h = l + 5. What is h*n(z) + 6*m(z)? -4*z Let u(y) = -508*y - 3. Let b(m) = 1017*m + 7. Determine -2*b(l) - 5*u(l). 506*l + 1 Suppose -63 = -188*k + 471 + 406. Let d(v) = v + 1. Let g(l) = l**2 + 4*l + 39. What is k*d(w) - g(w)? -w**2 + w - 34 Let z(r) = -r - 1. Let v(u) = -u + 4. Suppose -3*f + 6*n - 3 = 0, -17*n = -11*n - 11*n. Give f*v(q) - z(q). 2*q - 3 Let s(l) = -l**2 + l - 1. Let c = -7342 + 7340. Let k(v) = -22*v**2 + 6*v - 6. Give c*k(f) + 12*s(f). 32*f**2 Let o(v) = 3*v**3 - 46*v**2 - 3*v + 9. Let y(m) = 2*m**3 - 48*m**2 - 4*m + 12. What is 4*o(g) - 3*y(g)? 6*g**3 - 40*g**2 Let d(r) = 3952*r**2 - 23*r + 14. Let y(a) = 3958*a**2 - 26*a + 16. What is -9*d(v) + 8*y(v)? -3904*v**2 - v + 2 Let w(v) = -297*v - 20. Let z(b) = 446*b + 27. Give -7*w(d) - 5*z(d). -151*d + 5 Let d(q) be the third derivative of q**6/24 - q**5/10 - q**4/4 - q**3 + 2772*q**2. Let g(u) = 121*u**3 - 143*u**2 - 143*u - 143. Calculate 143*d(y) - 6*g(y). -11*y**3 Let w(q) = 4*q**3 - 9. Let x(j) be the first derivative of j**5/10 - 2*j**2 + 52*j + 9. Let a(n) be the first derivative of x(n). Determine 13*a(v) - 6*w(v). 2*v**3 + 2 Let r(l) = -3*l**3 + l**2 + l - 2. Let u(k) = -3*k**3 + 724*k**2 + 3*k - 6. Give 3*r(v) - u(v). -6*v**3 - 721*v**2 Let k(j) = 360*j + 39. Let d(v) = 216*v + 23. Determine -17*d(r) + 10*k(r). -72*r - 1 Let f be (4*(-12)/40)/((-2)/(-5)). Let i(q) = -1331 - 1334 + 4002 - 1336. Let a(t) = -t - 2. Determine f*a(m) - 5*i(m). 3*m + 1 Let q(t) = -176*t**3 - 4*t**2 + 56. Let a(v) = 59*v**3 + 2*v**2 - 20. Determine -14*a(c) - 5*q(c). 54*c**3 - 8*c**2 Let x(t) = 38*t**3 - 5*t**2 + t + 5. Let d = 1951 + -1948. Let p(r) = 19*r**3 - 3*r**2 + r + 3. Determine d*x(l) - 5*p(l). 19*l**3 - 2*l Let q(f) = -1625*f**3 + 8*f - 2. Let u(a) = -1624*a**3 + 12*a - 3. Determine 3*q(n) - 2*u(n). -1627*n**3 Let k(p) = -7216*p - 37. Let m(s) = 3606*s + 22. Determine -3*k(d) - 5*m(d). 3618*d + 1 Let q(r) be the third derivative of -r**4/6 - r**3/3 - r**2. Let z(w) = -4*w - 3. Suppose 13591 = 22*s + 13723. What is s*q(p) + 4*z(p)? 8*p Let d(b) = -2*b**2 + 68*b + 18. Let x(g) = 13*g + 1. Let p(c) = d(c) - 5*x(c). Let w(t) = -5*t**2 + 8*t + 40. Give 8*p(u) - 3*w(u). -u**2 - 16 Suppose 0 = h + 3 - 1. Let u(w) = -9*w - 3338. Let b(q) = -9*q - 3060. Let z(i) = 12*b(i) - 11*u(i). Let d(x) = 28*x + 7. What is h*d(f) - 7*z(f)? 7*f Let o(k) = -5*k**2 - 3*k - 5. Let d = -4020 + 4023. Let m(h) be the first derivative of -h - 19 - 1/2*h**2 - 1/3*h**d. Give 4*m(n) - o(n). n**2 - n + 1 Let y(t) = 11909*t + 92. Let m(n) = -357269*n - 2783. Calculate 4*m(r) + 121*y(r). 11913*r Let l(d) be the second derivative of d**4/2 - 3*d**2 + 153*d. Let f(u) be the first derivative of 2*u**3/3 - 2*u + 44. Calculate 11*f(z) - 4*l(z). -2*z**2 + 2 Let g(y) = -70*y**2 + 68*y - 1. Let a(k) = 47*k**2 - 42*k + 1. Give -8*a(t) - 5*g(t). -26*t**2 - 4*t - 3 Let o(x) = 3*x + 2. Let a(p) = -p**2 + p. Suppose -j = -5*b + 13 - 44, 5*j - 3*b - 89 = 0. Suppose -l - j + 10 = 5*h, 3*l + 7 = -4*h. Give l*o(r) + 4*a(r). -4*r
{ "pile_set_name": "DM Mathematics" }
*5/30 - 2*t**2. Calculate j(w(v)). 12*v**4 Let b(q) = -2*q**2. Let v(c) be the second derivative of c**3/3 + 10*c. Determine v(b(h)). -4*h**2 Let f(p) = -p. Suppose -4*u = o - 4 - 6, 2*o = 3*u - 2. Let d(b) = 2*b**2 - 6*b**2 + 3*b**u. Give f(d(v)). v**2 Let f(b) = 2*b**2. Let d(q) = -q**2 + 3*q - 3. Let s(x) = -x**2 + 2*x - 2. Suppose -1 = -z - 7. Let o(u) = z*s(u) + 4*d(u). Calculate o(f(c)). 8*c**4 Let f(x) = 3*x**2 + 9*x. Let p(k) = -k**2 - 2*k. Let n(m) = 2*f(m) + 9*p(m). Let o(z) = -z. Let l(a) = 5*a. Let u(i) = l(i) + 2*o(i). Determine u(n(t)). -9*t**2 Let x(k) = -k**2 - 3*k. Let w(q) = q. Let a(t) = 12*w(t) + 4*x(t). Let v(i) = -7*i**2. What is a(v(u))? -196*u**4 Let b(w) be the second derivative of w**4/12 + 2*w. Let a(x) be the second derivative of 0 - 2*x + 0*x**3 + 5/12*x**4 + 0*x**2. Determine a(b(d)). 5*d**4 Let x(n) = 7*n**2. Let b(y) = 21 + 2*y - 21. Calculate x(b(s)). 28*s**2 Let d(s) = -7*s**2 + 6*s**2 + 0*s**2. Let l(f) be the first derivative of 4/3*f**3 - 1 + 0*f + 0*f**2. Determine l(d(c)). 4*c**4 Let a(v) = -2*v**2. Let y(h) = 173*h**2. Determine y(a(q)). 692*q**4 Let m(h) = h**2 + 11*h + 8. Let f be m(-11). Let t(q) = -3*q**2 - f*q**2 + 13*q**2. Let n(i) = 4*i. Determine t(n(c)). 32*c**2 Let w(c) = -3*c. Let m(a) = -2595*a. Calculate m(w(g)). 7785*g Let q(h) = -2*h - 312. Let u(s) = -s**2. What is q(u(z))? 2*z**2 - 312 Let l(u) = -2*u**2. Let n(d) = 2*d + 616. Calculate l(n(f)). -8*f**2 - 4928*f - 758912 Let d(j) = j**2. Suppose -r = 3*c - 19, -c - 4*c + 3*r + 55 = 0. Let k(u) = -7*u - 6 - 2 + c. What is d(k(b))? 49*b**2 Suppose 4*l - 6 = g, 2*l + 14 = 2*g + 7*l. Let y(z) = 2*z**g - 6*z + 6*z. Let t(x) = -2*x**2 - 3*x**2 + 6*x**2 + 2*x**2. Calculate t(y(j)). 12*j**4 Let f(o) be the second derivative of -o**3/6 + 3*o**2 - 5*o - 3. Let d(w) = -w. What is d(f(x))? x - 6 Let c(t) = -6*t**2. Let a(x) = 11 + x - 11. Give c(a(g)). -6*g**2 Let t(q) = 3*q**2. Let a(y) = 2*y - 3. Let h(b) = -5*b + 5. Let w(f) = 10*a(f) + 6*h(f). Determine w(t(o)). -30*o**2 Let g(n) = -15*n. Let b(u) = -2*u + 20. Let r be b(9). Let y(l) = -5*l**2 + l**2 + 5*l**r. What is g(y(p))? -15*p**2 Let o(y) = -y. Let f(p) = -p**2 - p - 1. Let x(d) = 2*d**2 + 6*d + 6. Let b be 35/(-25) + 2/5. Let c(v) = b*x(v) - 6*f(v). What is o(c(h))? -4*h**2 Let t(z) = z - 1. Let h(u) = 12*u**2 + 18*u - 18. Let v(w) = h(w) - 18*t(w). Let l(x) = x. What is l(v(y))? 12*y**2 Let x(f) be the first derivative of -1 + 1/2*f**2 + 0*f. Let i(q) = -3*q. Calculate i(x(a)). -3*a Let c(i) = 5*i. Let d = 28 + -27. Let v(r) = r + 1 - d. Give v(c(y)). 5*y Let p(t) = -3*t**2 - 116*t. Let f(x) = 17*x**2. What is p(f(k))? -867*k**4 - 1972*k**2 Let w(m) = -78*m + 26*m + 20*m + 29*m. Let z(q) = -10*q**2. Determine z(w(i)). -90*i**2 Let n(a) = a + 2. Let y be n(-3). Let w(d) = 5*d**2 - 2*d + 2. Let x(q) = q - 1. Let h(t) = y*w(t) - 2*x(t). Let i(v) = 2*v. Give i(h(u)). -10*u**2 Let y(n) = n**2 + 42. Let o(k) = -3*k. Give y(o(p)). 9*p**2 + 42 Let h(c) = -7*c**2. Suppose 0 = -r - 3 + 5. Let m(z) = -z - 1. Let b be m(-5). Let y(q) = b*q**2 + 2*q - 2*q**r - 2*q. Determine h(y(k)). -28*k**4 Let k(l) = -7*l. Let a(z) = 47*z. What is k(a(y))? -329*y Let q(l) = -12904*l**2. Let s(r) = 2*r**2. What is q(s(b))? -51616*b**4 Let r(t) = 1368*t**2. Let q(f) = 2*f**2. Calculate q(r(m)). 3742848*m**4 Let h(l) = 102*l - 1. Let i(z) = -2*z**2. What is h(i(p))? -204*p**2 - 1 Let n(s) = s. Let g(k) = 29*k**2 + 6*k. Let z(r) = 86*r**2 + 17*r. Let i(l) = 17*g(l) - 6*z(l). Calculate n(i(h)). -23*h**2 Let v be 1 + (-2 - (2 + -3)). Let h(l) = 4*l + v - 3 + 3. Let k(o) = 3*o**2. Calculate k(h(y)). 48*y**2 Let k(i) = -i**2. Let c(u) = 6*u + 8*u + 7*u - 17*u. Calculate c(k(q)). -4*q**2 Let z(c) = -c**2. Let n(f) be the third derivative of f**5/15 + 7*f**2. Calculate n(z(o)). 4*o**4 Let a(k) = 17*k - 13*k - 11*k. Let o(u) = 2*u**2. Calculate o(a(q)). 98*q**2 Let a(b) = -2*b**2. Let y(j) = 20*j. What is a(y(g))? -800*g**2 Let v(y) = -y. Let n(a) = 27*a**2 + 5*a - 5. Let w(c) = 13*c**2 + 2*c - 2. Let u(j) = 4*n(j) - 10*w(j). Calculate v(u(k)). 22*k**2 Let c(x) be the second derivative of x**6/144 + x**4/4 - 4*x. Let h(b) be the third derivative of c(b). Let p(n) = -n. Determine h(p(y)). -5*y Let b(k) = -2*k**2. Let q = 18 + -16. Let o(d) be the third derivative of 0*d**3 - 1/8*d**4 + 0*d + 0 + 2*d**q. What is o(b(l))? 6*l**2 Let h(m) be the first derivative of 3*m**3 + 1. Let n(q) = -5*q. What is n(h(d))? -45*d**2 Let h(z) = -z**2 + 10. Let j(y) = -7*y**2. Calculate h(j(n)). -49*n**4 + 10 Let c(x) = -4*x. Let o(w) = 378*w**2. What is c(o(h))? -1512*h**2 Let i(d) be the second derivative of d**4/12 - 24*d - 1. Let r(q) = 4*q**2. Give r(i(s)). 4*s**4 Let c(g) = g**2 + 5*g + 5. Let w(x) = 2*x**2 + 8*x + 8. Let s(l) = -8*c(l) + 5*w(l). Let h(b) = -12*b. What is s(h(y))? 288*y**2 Let g(k) be the second derivative of 3*k**3 - 12*k. Let x(y) = 3*y**2. Calculate x(g(q)). 972*q**2 Let g = -9 + 11. Let c(o) = -5*o**2 + 3*o**2 - 4*o**g + 5*o**2. Let n(y) = -5*y**2 - 25*y. Let x(i) = i**2 + 6*i. Let j(k) = 6*n(k) + 25*x(k). What is c(j(t))? -25*t**4 Let k(v) = 4*v**2. Let o(l) be the third derivative of l**5/30 - 3*l**2. Calculate o(k(p)). 32*p**4 Let k(g) = 216*g - 3. Let n(f) = -f. Calculate n(k(d)). -216*d + 3 Suppose -7 = k - l - 4, 0 = 4*k + 2*l - 18. Let o(n) = 4*n**2 - 4*n**k - 3*n**2 + 0*n**2. Let q(u) = 3*u**2. Determine q(o(f)). 27*f**4 Let k(x) = x**2. Let r = 4 + 1. Suppose 0 = r*y - 0*y - 10. Let b(n) = -n + n + n**y. What is b(k(g))? g**4 Let i(g) = -101*g**2. Let v(t) = -3*t**2. What is i(v(q))? -909*q**4 Let o(l) = 3*l + 6. Let d(j) = -3*j. Determine o(d(t)). -9*t + 6 Let q(v) = 2*v**2 - 114*v + 114*v. Let k(y) = 14*y. Determine q(k(n)). 392*n**2 Let d(q) = -584*q**2. Let c(i) = 3*i. Calculate d(c(j)). -5256*j**2 Let h(y) = 132*y**2. Let q(x) = 2*x**2 + 44. Calculate h(q(o)). 528*o**4 + 23232*o**2 + 255552 Let p(i) = 3*i + 15. Let s(x) = -127*x - 2. Determine p(s(o)). -381*o + 9 Let f(g) = 2*g**2 + 17. Let o(t) = -5*t**2. Calculate f(o(l)). 50*l**4 + 17 Suppose -5*u + 5 = 0, -2*j = 3*j + 3*u - 8. Let d(f) = 1 - j - 3*f. Let a(z) be the third derivative of z**5/60 - z**2. Calculate a(d(i)). 9*i**2 Suppose k + 11 = 4*l, 5*l - 3*l + 2*k + 2 = 0. Let q(v) = v**l - 2 + 2. Let z(m) = 2*m**2. Calculate z(q(p)). 2*p**4 Let j(d) = d. Let w(a) = 48*a. What is w(j(n))? 48*n Let q(d) = -33*d - 7. Let s(u) = 6*u**2. Give s(q(j)). 6534*j**2 + 2772*j + 294 Let d(h) = -1469 + 3*h**2 + 1469. Let s(t) = -22*t**2. What is s(d(a))? -198*a**4 Let m(b) = -b. Let w(r) = r**2 + 5*r - 5. Let i be (3 - 2)/(2/(-4)). Let y(c) = c**2 + 2*c - 2 + c - c. Let z(d) = i*w(d) + 5*y(d). Determine m(z(t)). -3*t**2 Let a(h) be the first derivative of -h**2 - 2. Let t(y) = y. Calculate t(a(v)). -2*v Let h(k) = 26*k. Let v(r) = 328*r**2. Give v(h(u)). 221728*u**2 Let t(a) = a**2 - 77 + 77. Let n(o) be the second derivative of o**4/24 - o**2/2 - 2*o. Let g(c) be the first derivative of n(c). Calculate g(t(w)). w**2 Let v(d) = -15*d - 2. Let q(o) = -5*o**2. Determine q(v(g)). -1125*g**2 - 300*g - 20 Let o(d) = -2*d**2 + 4*d**2 + d**2. Let u(t) = -t**3 - 5*t**2 + 6*t + 3. Let k be u(-6). Let b(z) = -3*z**2 - k*z**2 + 5*z**2. Determine o(b(n)). 3*n**4 Let k(t) = -46*t. Let w(p) = 2*p. Determine w(k(v)). -92*v Let y(k) = -3*k. Let t(c) be the second derivative of 0*c**3 + 1/12*c**4 + 0 + 0*c**2 + 3*c. What is y(t(m))? -3*m**2 Let r(j) = 14*j**2. Let v(x) = -4*x + 14*x - 11*x. What is v(r(k))? -14*k**2 Let v(y) = -y - 492. Let c(m) = -4*m**2. Calculate v(c(x)). 4*x**2 - 492 Let g(s) = s. Let p(w) be the third derivative of -8*w**5/15 + 17*w**2. Give g(p(m)). -32*m**2 Let l(u) = -2*u. Let n(w) be the second derivative of -w**3/6 + 3*w. Determine l(n(z)). 2*z Let g(t) = 8*t**2 + 4. Let w(b) = 7*b**2 + 3. Suppose 4*z + 16 = -3*j, z - 4*j + j = -4. Let l(s) = z*w(s) + 3*g(s). Let m(d) = -6*d**2. Determine m(l(p)). -96*p**4 Let q(b) = 8*b**2. Let t(o) = -7*o**2 + 4*o**2 - 3*o**2. Calculate q(t(z)). 288*z**4 Let q(h) = 3*h**2 - 6*h**2 - 7*h**2 + 9*h**2. Let p(u) = -u + 3. Let l(m) = -2*m + 7. Let k(f) = -3*l(f) + 7*p(f). Give k(q(i)). i**2 Let c(o) = -5*o**2 - 4*o + 4. Let j(w) = 6*w**2 + 5*w - 5. Let p(h) = -5*c(h) - 4*j(h). Let t(m) be the first derivative of m**2
{ "pile_set_name": "DM Mathematics" }
uppose -4*y + l = j - 0*j, 0 = 3*y + j - 10. Does 4 divide y? True Suppose -2*u = 2*u - 144. Does 12 divide u? True Suppose p + 0*v - 4*v = 25, -5*p + 74 = -3*v. Is p a multiple of 13? True Suppose 101 = -6*m + 695. Is 11 a factor of m? True Let h(m) = m**2 - 13*m - 1. Is 2 a factor of h(14)? False Let k be (-1)/5 - 32/(-10). Suppose -r + 2 - 1 = 2*q, -k = -r - 4*q. Is 8 a factor of 18/2 + r + 1? False Let s be 1/(-3) + 22/(-6). Let r = 6 + s. Is r/(-4) + 9/2 a multiple of 4? True Let c be 6/(-27) + (-176)/18. Let w = c + -2. Let p = 35 + w. Is p a multiple of 16? False Let v(i) = -i**3 - 2*i**2 + 2*i. Let w be v(-3). Suppose -w*k + 6 = 3*m, 3*k + 4*m - 2 = 1. Suppose 114 = k*a - 11. Is 11 a factor of a? False Suppose -w + 2*x = -23, -w - 4*w = 5*x - 85. Let k = 7 + w. Is k a multiple of 13? True Let v(n) = -n**2 + 16*n. Is v(10) a multiple of 5? True Let b(j) = 2*j - 5*j + 3*j + 4*j**2 - 3. Is b(4) a multiple of 22? False Suppose 0 = 3*o - 4 - 2. Suppose 4*s = o*s + 4. Suppose -b + 112 = 3*r + 37, 4*b - 60 = -s*r. Does 7 divide r? False Let r = -1 + 21. Is r a multiple of 9? False Let r(m) = -m - 22. Let y be r(-9). Let v be -4*(-2 + y - -2). Suppose -2*d = 2*d - v. Is 6 a factor of d? False Let y(r) = 6*r - 6. Is 12 a factor of y(5)? True Let s = 118 - 62. Suppose 3*h - s = h. Is 13 a factor of h? False Let f(p) = -p**2 + 10*p + 13. Let v(d) = -2*d**2 + 20*d + 27. Let q(k) = 5*f(k) - 3*v(k). Let t be q(13). Suppose -t = -2*x + 9. Does 8 divide x? True Suppose -4*w = 2*v - 108, 3*v + 0*w - w - 162 = 0. Is v a multiple of 27? True Let j(c) = c. Let n be j(2). Is ((-4)/n)/(1/(-4)) a multiple of 7? False Let q = 20 - 18. Suppose q*b = 3*b - 24. Is b a multiple of 6? True Let z = 0 - -2. Does 3 divide (z + (-27)/6)*-2? False Let g(a) = -a**2 - 15*a - 11. Let o = -24 + 12. Does 7 divide g(o)? False Let m = 1 + 1. Suppose 3*s = -4*v + 38, -4*s + 72 = s - m*v. Does 10 divide s? False Let n(g) = -13*g - 27. Is n(-21) a multiple of 27? False Let o = -24 - 5. Let v = 73 - o. Suppose -3*j + v = -0*j. Does 12 divide j? False Let q be (-40)/(-30) - 16/3. Let w(u) = -8*u - 3. Does 10 divide w(q)? False Suppose -8*n + 5*n = -225. Does 15 divide n? True Let k(d) = -d**3 + 5*d**2 + 2*d - 2. Suppose j - 4*j = -15. Let z be k(j). Suppose 55 = -3*x + z*x. Is x a multiple of 11? True Let h(c) = c**2 + 4*c - 8. Let p be h(-6). Let o be (-6)/p + 38/4. Suppose o*b = 3*b + 110. Is 11 a factor of b? True Let n(w) = 3*w**3 + w**2 - 1. Let p(u) = u**3 - 11*u**2 - u + 7. Let c be p(11). Let r be (2 - 0)*(-2)/c. Does 3 divide n(r)? True Let b(h) = 92*h**2 - h - 1. Let o be b(-1). Suppose 0 = n + n - o. Suppose 4*a = n + 34. Is a a multiple of 10? True Let v = 5 + -2. Suppose u = v*u - 4. Is 2 a factor of u? True Suppose 3*o - 8 = 1. Let s be 0 + 0 - (7 - 9). Suppose s*y + j + 11 = 4*y, -19 = -o*y + 2*j. Is y a multiple of 2? False Let d(z) = z**3 - 4*z**2 + 9*z - 6. Let b(n) = 2*n**3 - 9*n**2 + 18*n - 11. Let l(s) = -4*b(s) + 7*d(s). Is 10 a factor of l(6)? True Suppose 0*y - 5*y + 50 = 0. Suppose j - 19 = y. Does 10 divide j? False Let s = 23 - 23. Suppose 5*a = -s*a + 60. Does 6 divide a? True Let f(h) = 7*h**2 - h**3 + 0*h + 0 - 4*h - 9 + 5. Let l be 6*(-1 + 0 + 2). Is f(l) a multiple of 4? True Let h(b) = b + 3. Let s be h(0). Is 2 a factor of -3 + 6/s + 3? True Let x(n) = -2*n. Is x(-7) a multiple of 3? False Let q be 4/(-18) - (-1478)/9. Suppose q = 4*c - 4*h, 0 = 2*c - h + 3*h - 86. Does 25 divide c? False Let g(i) = -5*i**3 - 2*i**2 + 3*i. Let o be g(-3). Suppose 3*x - o = x. Is 14 a factor of x? False Suppose 13*p = 17*p - 20. Suppose -p*w = -2*w - 18. Does 3 divide w? True Let c(n) = 10*n + 1. Let t be c(2). Suppose -2*k = -k - t. Is 13 a factor of k? False Suppose -45 = -z + 2*v - 5*v, -4*v = -5*z + 320. Is z a multiple of 15? True Let q be 12 - 2 - (-1 - 1). Suppose -q = -m + 5*m. Is -19*((-3)/m)/(-1) a multiple of 15? False Suppose -10 = 5*n - 5*h, 5*n + 16 - 2 = h. Let l(x) = 2*x**2 + x + 3. Does 12 divide l(n)? False Let m(g) = -g**2 + 5*g - 5*g + 16 + 7. Does 23 divide m(0)? True Let k = -145 - -217. Is k a multiple of 8? True Let o = 2 + 22. Suppose 2*y = -k - 2*k + 9, -4*y = 4*k - o. Is 9 a factor of y? True Suppose 3*v - 81 = -18. Is 5 a factor of 4/(-14) + 300/v? False Suppose 6*z - 651 = -195. Is z a multiple of 19? True Is 17 a factor of 132/2 + -2 + -2? False Let y(u) be the first derivative of u**4/4 + 2*u**3 - u**2 - 4*u - 2. Let l = 11 + -17. Is y(l) a multiple of 8? True Let k = 49 + -35. Does 2 divide k? True Suppose -2*b + 3*b = 13. Is (2 - -1) + -4 + b a multiple of 12? True Let w = 154 + -79. Is 25 a factor of w? True Let l = 102 + -27. Is 15 a factor of l? True Suppose -2*l + 6 = -l. Does 6 divide l? True Let u be (-14)/(-6) - (-6)/9. Suppose c - u*c + 212 = 0. Suppose 2*r = -20 + c. Does 16 divide r? False Let g = 153 - 57. Suppose 0*h = 4*x + h - g, 0 = 3*x - h - 65. Is x a multiple of 11? False Suppose -630 = -8*z + z. Is 9 a factor of z? True Let o = -8 - -6. Suppose -57 = 2*d - 13. Is 11 a factor of o/(1 - -1) - d? False Suppose -5 - 3 = -n - 5*y, 5*y = -4*n + 62. Is n - (-2)/(-2 - -3) a multiple of 10? True Let z(a) = -a**3 + 14*a**2 - 13*a + 6. Is 6 a factor of z(13)? True Suppose 0*t + 2*t = 214. Suppose -4*g = -5*j - 32 + t, 0 = -4*j + 5*g + 60. Does 15 divide j? True Let t(m) = 2*m**2 - 3. Let q be 5/(-2)*(-2)/5. Let g be 0 + (q - 0) - 4. Is 5 a factor of t(g)? True Suppose 79 = 3*n - 2*r + 9, -5*n + 75 = 5*r. Does 2 divide n? True Suppose 5*o - 3*k - 250 = 0, o - 5*k + 26 - 98 = 0. Let m = o - 34. Is m a multiple of 13? True Suppose 7 = 4*s - 21. Is 7 a factor of s? True Let o(c) = 0*c + 5 - 5*c - 3. Let b be -2 + 0/(4/2). Is o(b) a multiple of 6? True Let o(i) = 3*i**3 - 4*i**2 - 5*i. Let a be 36/10 - (-10)/25. Let n be o(a). Suppose 2*f + 36 = n. Is 20 a factor of f? False Suppose -1 = -3*v + 11. Let t be ((-1)/(-3))/(v/36). Suppose -i - 2*n = -25, 5*i + 2*n = t*i + 40. Is i a multiple of 15? True Let b be 2/(-6) + 190/3. Suppose -2*n - 2*l = b + 383, l + 1 = 0. Does 22 divide 8/(-20) + n/(-5)? True Let q = 34 - 3. Suppose q = 4*d - 13. Is 11 a factor of d? True Let v(d) = d**2 - d. Let k = 7 + -8. Let u(p) = p**2 - 7*p + 10. Let j(y) = k*u(y) + 2*v(y). Is j(-7) even? True Let d = -234 + 136. Suppose 3*i - 4*s - 25 = 0, 2 = -4*s + 22. Does 5 divide 3/i - d/10? True Let b(z) = -z**3 + 4*z**2 + 4. Let j be b(4). Let o = j + 16. Is o a multiple of 9? False Suppose 201 = 3*o - d - 506, 2*o = -2*d + 458. Is o a multiple of 18? True Let y = -24 - -54. Is y a multiple of 5? True Suppose 0 = 3*d - 6*d + 273. Suppose 3*g - d = -g + 3*u, -4*u = -5*g + 113. Let f = g - 13. Is 11 a factor of f? False Let v = 17 - 17. Suppose 2*q - 4*q + 30 = v. Is 6 a factor of q? False Let i = 45 + -29. Does 11 divide i? False Let q = 11 + -6. Suppose 3*w - 4*g = 110, -2*w - w = -q*g - 115. Is w a multiple of 10? True Let l(f) = 4*f**2 + 5*f - 6. Let w(z) = -7*z**2 - 10*z + 12. Let v(i) = -5*l(i) - 3*w(i). Does 9 divide v(-8)? True Suppose 2*t - 18 = -4*m + 6, 4*m = -8. Is 16 a factor of t? True Let a(t) = -5*t + 3*t + 10*t. Is a(2) a multiple of 8? True Let p be (-1859)/(-26) + (-6)/(-4). Suppose 2*h + 17 = p. Does 14 divide h? True Let o(z) = -z**3 + 13*z**2 - 12*z + 9. Is 6 a factor of o(12)? False Let q(g) = 6*g**2 + 3*g - 3. Is q(3) a multiple of 12? True Suppose 80 = -7*w + 2*w. Does 20 divide ((-195)/(-10))/((-6)/w)? False Let h be (6/5)/(2/(-10)). Suppose 2*p = -3*p - 55. Let i = h - p. Is i a multiple of 2? False Let a = -78 + 135. Let j = -33 + 37. Suppose -t - a = -6*t - 2*m, j*m = -t + 15. Is t a multiple of 11? True Suppose -v + 2*r = 4*v + 14, v = -2*r + 2. Does 12 divide -3*(-39)/(-6)*v? False Let x = 8 + -8. Suppose x = 3*p - 16 - 44. Does 9 divide p*2*(-6)/(-15)? False Let v be 1/4 + (-252)/(-16). Suppose 2*o - d = d + v, 0 = 3*o + 5*d + 16. Suppose 2*c - 13 - 15 = i, -12 = o*i. Does 12 divide c? True Is 12 a factor of (-62 - -1)*(-2)/((-4)/(-2))? False Let q(k) = 4 + 2*k + 0*k - 4*k + k. Is q(0) even? True Does 27 divide 165 + (2 - 10/2)? True Suppose 101 = 2*p - u, 2*p + 5*u - 107 = -0*p. Is p a multiple of 17? True Suppose -j + 26 = -12. Does 19 divide j? True Let r = -12 + 11. Is 22 a factor of 21 + (2 - 2 - r)? True Does 16 divi
{ "pile_set_name": "DM Mathematics" }
or s. 1 Suppose -5*a + 116 = -4*k, 9*k + 3*a = 4*k - 145. Let r = k + 36. Solve 5*x - f + 0 = 21, 5*f - r = -3*x for x. 4 Let s be (-2)/1*4/2. Let y be s/30 + (-64)/(-30). Solve -y*g - 1 = 5*i - 2*i, 5*i + 5 = -5*g for g. -2 Let s(i) = -4*i + 131. Let d be s(32). Solve -j - 3*j + 11 = d*n, -3*j + 27 = -4*n for j. 5 Let w be 47 - 46 - 1*-1. Solve -4*c - w*s = -4, -s = -3*c + 2*s - 15 for c. -1 Suppose -3*d - 2*d - 10 = 0, -5*v + 2*d = -19. Suppose v*a - 17 = 7. Solve -4*n = h - a - 7, 15 = -5*h - 2*n for h. -5 Let t be ((-299)/65 - -5)*10. Solve -3 = -5*l - 2*d, d - t*d = -4*l + 7 for l. 1 Suppose 2*y = -5*k + 46, -2*k - 3*y + 34 - 9 = 0. Suppose -2*z + 4*b = 3*z - 88, z + 4*b = k. Solve -4*w + z = -0*w, 4*w - 19 = 3*q for q. -1 Suppose -u - 3*b = 4*u + 4, -2*b - 4 = 2*u. Suppose -3*j - 5 = u. Let l = j - -2. Solve 2*f - f - 1 = -5*p, l = -3*p for f. 1 Suppose -22 = -5*d + 4*t - 3, 4*d = -3*t + 9. Solve 0 = -d*r - 3*y + 6 - 3, r = 5*y - 11 for r. -1 Suppose 2*k = 2*i, 2 = -2*i + k + 6. Let m be 4 + i/(-8)*4. Suppose -m*z = -6*z. Solve -j - t + 2 = z, -4*t - 4 = 2*j - j for j. 4 Suppose -27 = -3*w + 3*h + 3, 2*w + 2*h = 0. Solve w*f = -3*t + 13 - 4, 3*f - 15 = 3*t for f. 3 Suppose 4 = 5*q - 4*x + 1, -2*x = 2*q - 12. Solve -l + 12 = -5*c, 5*l - 5 - q = -c for c. -2 Suppose 5*p - 35 = 5*w, -2*p + w = 4*w - 19. Suppose 3*f - p - 1 = 0. Solve 3*r = f*y, 3*r - 1 = 2*y - 4 for y. -3 Let h = -128 + 137. Suppose -k + 50 = h*k. Solve -k*q = 4*t - 2*q + 14, -t - 4*q - 10 = 0 for t. -2 Suppose 237*u = 229*u + 32. Solve 6*c - 5*c + 3*h - 6 = 0, -5 = -3*c + u*h for c. 3 Suppose -d = -11 + 1. Let n = d - 2. Suppose 2*z - n = -2*b, -b - 2 = 2*z - 8. Solve 2*k = -t + b, 3*t + 2*k - 6 = 4*k for t. 2 Let p(i) = 2*i**3 + 19*i**2 - 9*i + 12. Let f be p(-10). Solve 3*h + w - 2 = -6, -f*h + 4*w - 26 = 0 for h. -3 Let a be (-5)/(-5)*4*3. Suppose 0 = t - 2*v + 16, 4*v - 31 = 5*t + 31. Let k be (a/t)/((-14)/35). Solve 0 = -k*l + 3, 2*g = 6*g - 4*l + 24 for g. -5 Let q = -259 - -262. Solve -u + q*f = 12, 2*f - 1 = 7 for u. 0 Let f = 121 + -289. Suppose -4*a = 20, 4*z - 5*z = -4*a - 22. Let n be f/21*(-1)/z. Solve -16 = 4*y - 0*y + n*i, -4*i + 4 = 0 for y. -5 Let f be 127/5 + (-2)/5. Suppose -4*j + 15 + 33 = 3*t, 4*t = -j + 77. Solve 2*u + t = 5*c, 0 = 6*c - c - 3*u - f for c. 2 Suppose -9*u + 78 - 6 = 0. Let g(d) = d**2 - 2*d + 1. Let f be g(1). Solve -2*n - 4*y = 2*n, 5*n + y + u = f for n. -2 Let q(c) = -c**2 - c + 1. Let t be q(6). Suppose -15*f = 10*f - 1850. Let s = f + t. Solve -2*u + 4*y = -y, 4*y = -5*u - s for u. -5 Let z = -5 - -20. Let j = 41 - 50. Let t = j - -13. Solve -t*l + l = 4*o + 10, -z = 5*o + 5*l for o. -1 Let m(j) = 2*j**3 + 6*j**2 + j. Let b be m(0). Solve -5*x = -5*p, -5*x + b = 3*p + 8 for p. -1 Let p(z) = -z + 7. Let n be p(0). Let h(l) = -l + 6. Let v be h(5). Let o be 19/v - (4 - n). Solve 4*f = t - 7, -3*t - 4*f - o = -t for t. -5 Let n = 110 - 106. Solve n*f - z + 25 = 0, -2*z - 3*z = -4*f - 45 for f. -5 Let i be (3 - 161/42)/((-7)/42). Solve 3*u - 1 = 2*d, -2*d - i*u - 7 - 2 = 0 for d. -2 Let c(v) = -6*v - 8. Let b be c(-3). Let q = 4 + b. Let t be 121/17 - q/119. Solve -5*z + 7 = y + y, -4*y - 3*z - t = 0 for y. -4 Let o = 17 - 17. Suppose o = 3*q - 4 - 11. Solve -q*r - j - 4*j - 45 = 0, -5 = -3*r + 5*j for r. -5 Suppose -3*m + 2*m = 7. Let i(g) = g**3 + 8*g**2 + 8*g + 9. Let x be i(m). Solve 10 = -4*l - 5*r, 6 = x*l - 5*l - 3*r for l. 0 Let a(u) = 3*u**2 - 4*u - 47. Let n be a(-5). Let y = 50 - n. Solve 2*i = 2*l + 2 - 22, y*l - i = 15 for l. 5 Let w = 12 - 10. Suppose -14 = -4*v + w*x + 18, -8 = -v - 4*x. Solve m - 6 = 4*m + o, -v = -m + 3*o for m. -1 Suppose -4*b - 5*m = -7, 0 = 2*m - 2 + 4. Solve 2*j = 2, 0 = -b*o - 8*j + 3*j + 5 for o. 0 Suppose -o - 2 = -2*o. Solve -o*z + 0*z = 5*w + 10, 4*z - 2*w + 20 = 0 for z. -5 Let g be 14 + (0 - 2) + 3. Suppose a = 7 - 3. Let l be a/1*-3*4/(-3). Solve -5*q = 7*n - 2*n + g, l = -2*q + 3*n for q. -5 Let t be (-14)/(-21)*(-3 + -6). Let d be t/((-1 - 1) + 0). Solve -5*x - 5*k - 15 = 0, 3*x - d*k = -x + 16 for x. 1 Let v = 9 + -5. Let s be 12*3/2 - (-1 - -3). Suppose -z - 2*g + 18 = 0, -4*g - s - 18 = -5*z. Solve -2*u - 2*w = z, 5*u = -w + v*w + 15 for u. 0 Let h(g) = -7*g + 99. Let l be h(14). Let d be (l - 3 - 1) + 9 + -2. Solve -p + 13 = -5*q, 0*p - 4*q + 4 = d*p for p. 3 Let g(k) = 13*k**2 - 19*k**3 - 4 + 18*k**3 - 4*k - 7 - 17*k. Let z be g(11). Solve -m = p - z*m + 6, -p - 18 = 4*m for p. -2 Let u = -15 - -25. Let f = u - -6. Let l = f + -12. Solve h + 3 = g + 5*h, -2*g - l = -2*h for g. -1 Suppose 5*q + 741 = -3*z, 4*q = -3*z - 514 - 230. Let b be z/(-63) + (0 + 1)*11. Solve 0 = 5*n - u + 9, -3*n - 2*n - 5*u = b for n. -2 Suppose -46 = -5*f - 21. Solve 9*n + 1 = f*n - d, 3*n = 3*d + 3 for n. 0 Let c be 13 + ((-8)/(-6))/(2/3). Let t = c - 11. Solve -t*r - g + 21 = 0, -2*r - 4*g = -5*r + 11 for r. 5 Suppose -5*o + 102 = 72. Solve -5 - 1 = 2*k - q, 2*k = 5*q - o for k. -3 Let t = 487 + -482. Solve -t*b + 0*b + 7 = -3*l, -4*l - 21 = 5*b for l. -4 Let u(r) = 17*r**2 + 4*r - 4. Let m be u(1). Solve -h - 4*h + 1 = 4*y, -2*y = -3*h - m for h. -3 Let d = -316 - -319. Suppose l + l + 14 = 0. Let k(i) = -3*i + 6. Let u be k(l). Solve -5*r - u = 4*w, -2*w - d = r - 2*r for w. -3 Suppose 3*a = -0*h - 2*h + 30, -h + 3 = 0. Suppose -a - 3 = c. Let t = -7 - c. Solve t*d - 7 = -x, -18 = x - 3*d - 4 for x. -5 Let o = -42 - -22. Let n = 22 + o. Solve 0 = 4*v - w + 1 + n, 35 = -5*v - 5*w for v. -2 Suppose -4*c = -k + 22, -11*c = 3*k - 8*c - 6. Solve 1 = 5*h + k, 0 = z + h for z. 1 Let m be 26/10 - ((-215)/(-25) + -9). Solve -9 = -4*n + 3*y, -2*n - m = -6*n + y for n. 0 Let y(t) = -t - 1. Let r(g) = -g + 3. Let q(l) = -r(l) + 3*y(l). Let b be q(-4). Suppose -2*k = -k - b. Solve k*i + 5 = 3*i, -4*p - 5*i = -21 for p. -1 Let z = -30 - -27. Let t(m) = 2*m - 1. Let g be t(z). Let l be 1/((g/(-4))/7). Solve -3*b = l*y - 25, -2*b + 2*y - 20 = -6*b for b. 3 Let s = -2518 - -2521. Solve 5*w = 4*t + 10, -w + s*t - 6*t - 17 = 0 for w. -2 Let z = 3 + 1. Let v be (-830)/(-6) - ((-48)/(-18))/(-4). Let i = 141 - v. Solve -i*n - 4 = 2*d - 4*n, -n + 14 = -z*d for d. -4 Let b(p) = -18*p - 22 + 453*p**2 + 6*p - 452*p**2. Let j be b(14). Solve -3*i + 6*s - s = -j, 8 = 4*i + 5*s for i. 2 Let f be 1 + -2 + (3 - -1). Suppose -b + 8 = f*b. Let d be (-6)/(-15) - 23/(-5). Solve -b*h = -2*m + 16, -d*m - 17 = -h - 41 for m. 4 Suppose -570*d + 552*d + 90 = 0. Solve -d*j = -w + 11, 5 = -3*j - 2*w + 3*w for j. -3 Let x be (44/10 - 1) + 723/1205. Solve x*f - 5*n + 7 = -10*n, 17 = -5*f + 2*n for f. -3 Suppose -5*u + 82 = 36*u. Solve u*y + 6 = 0, -4*y = -2*c + 9 - 3 for c. -3 Suppose -3*x = -3*p - 105, 4*x + p - 94 = 31. Solve 4*a = 3*n - 20, -2*a + 5*n + 8 = x for a. -2 Let r = 1061 + -1059. Solve -r*c - 20 = -5*i, c - 2*i - 3*i + 15 = 0 for c. -5 Let s(o) = -o**3 + 12*o**2 - 10*o - 5. Let r be s(11). Solve 3*a = -4*m - 28, -2*a - 16 = r*m - 4*m for a. -4 Let i be 3 + 6 + 2 + -8. Let r be 1 - (14/49 - 142/7). Solve 4*l = -h - 18 + i, 0 = 5*l - h + r for l. -4 Let h be (-2)/(-2)*-3 + 1. Let b be ((-1)/h)/((-1)/(-10)). Let q = -8 + 11. Solve m - b*a - q = -0*m, -5*m + 15 = 4*a for m. 3 Let h(k) = -k + 33. Let z be h(21). Suppose 53*j - z = 49*j. Solve -5*u + 17 = -4*r, -2*r - 5*u = j*r - 35 for r. 2 Suppose 16 = 3*y + y. Suppose -y*j + 6*j = 0. Suppose j = -z - 0 + 8. Solve 3*d + 3*a - 2 = -z, -2*d + 5*a + 3 = 0 for d. -1 Let r(i) = 5*i + 17. Let v(u) = -4*u - 17. Let y(o) = -5*r(o) - 6*v(o). Let t be y(-9). Solve -q - t = 5*a, 0 = 3*q - 4*a + 2*a - 7 for q. -1 Let k = -134 + 134. Suppose 0*f + 30 = 3*f - 2*n, -2*n = k. Solve 5*w - 5*b = 10, -4 - f = w + 3*b for w. -2 Let o(w) = 7*w + 32. Let i be o(-4). Suppose 4*n + 4 = -h, -6*n = -i*n + 4. Solve 4 = h*j + 4*q, -5*j = -0*q - 5*q + 5 for j. 0 Let h = 1122 + -1119. Solve k = g, -3*g - h - 1 = -4*k for k. 4 Suppose 76*y = 88*y - 48. Solve 4*g = -m - 5, 3*g - 4 = y*m + 16 for g. 0 Let b(c) = -64*c + 836. Let y be b(13). Solve 8*z - 4*i - 9 = 3*z, y*i + 4 = 0 for z. 1 Let h(u) = -15*u - 3. Let g be h(-1). Suppose 11*s - g = 8*s. Solve i - 4 = -s*f - 13, -5*f + 5 = -2*i for f. -1 Let y(w) = w**3 + 3*w**2 + 6*w + 8. Let s be y(-2). Solve s*l + l = -5*r + 14, r = -4*l + 18 for r. 2 Let f be (-10)/
{ "pile_set_name": "DM Mathematics" }
))*-5 + sqrt(208))**2). -65*sqrt(13) + 243 Simplify ((sqrt(209) + (sqrt(209) - (sqrt(209) + 1*sqrt(209)*4)) + sqrt(209) + sqrt(209))/sqrt(11))**2 + 1*sqrt(1900) + -1. 18 + 10*sqrt(19) Simplify -5*(-5*(5*3*sqrt(684) - (sqrt(684) - (-1 + sqrt(684) + sqrt(684) + 1*sqrt(684) + sqrt(684)))))**2. -27702125 + 27000*sqrt(19) Simplify (2*(2*sqrt(152))/sqrt(8) - (sqrt(133) - (sqrt(133) + sqrt(133) + sqrt(133) + sqrt(133)*1*3))/sqrt(7))**2. 1539 Simplify (-3 + -2 + 1*sqrt(272)*2)**2*5. -400*sqrt(17) + 5565 Simplify -5 + (sqrt(17) - sqrt(272)) - (-1 + sqrt(425)) - sqrt(187)/((sqrt(121) + (sqrt(121)*-3 - sqrt(121)))/sqrt(11)). -23*sqrt(17)/3 - 4 Simplify (-1*sqrt(78)*-4*-5)/(sqrt(726) - -2*sqrt(726)*6). -20*sqrt(13)/143 Simplify -4 + (0 + (sqrt(396) - (-1*sqrt(396) - sqrt(396))))**2 - (-2 + -4 + 2*sqrt(396) + sqrt(396) + sqrt(396))**2. -2812 + 288*sqrt(11) Simplify (sqrt(243)/sqrt(9))/sqrt(9)*-2*6*-5. 60*sqrt(3) Simplify 1*((sqrt(6) + (sqrt(6) - sqrt(216)/sqrt(4)))/(sqrt(18)*2))**2*-5. -5/12 Simplify ((sqrt(66) - (sqrt(66) + (sqrt(66) - (sqrt(66) + sqrt(66) + -2*(sqrt(66) - sqrt(66)*1)))))/sqrt(3))/(-1*(sqrt(121)/(3*sqrt(11)) + sqrt(11))). -3*sqrt(2)/4 Simplify -2*sqrt(10)/sqrt(2) + 4 + -2*sqrt(405) + 0. -20*sqrt(5) + 4 Simplify (sqrt(2662)*-1)/sqrt(2) - (sqrt(121) - (2*(sqrt(121)*-1 + sqrt(121)) - sqrt(121) - sqrt(121)))/sqrt(11). -14*sqrt(11) Simplify (-4*(sqrt(68)/sqrt(4) + sqrt(17)) + -4 + (sqrt(17) - (2 + sqrt(17))) + (4*sqrt(204)*4)/sqrt(12))**2. -96*sqrt(17) + 1124 Simplify 2*(sqrt(152)*-2*-1)/(sqrt(392) + (sqrt(392) - sqrt(392)*2) - sqrt(392)). -4*sqrt(19)/7 Simplify -3 + ((sqrt(539)*4 + 0)*1)**2. 8621 Simplify -5*(sqrt(42)/sqrt(6)*5 - (sqrt(875)/sqrt(5))**2). -25*sqrt(7) + 875 Simplify ((1*((sqrt(612) - sqrt(17)) + 1) + (2 + 4*sqrt(17))*6)*-1)**2. 754*sqrt(17) + 14466 Simplify 6*((sqrt(242) - (-2*(sqrt(242) + (sqrt(242) - sqrt(242)*-1)))**2) + sqrt(242) + (sqrt(242) + sqrt(242)*3)*-3). -52272 - 660*sqrt(2) Simplify (-5 + sqrt(40)/sqrt(5) - (2*(2 + sqrt(200)) + sqrt(200)))**2. 504*sqrt(2) + 1649 Simplify ((-2*(sqrt(432) + 1) - sqrt(432)) + sqrt(432))**2*4 - (sqrt(432) + -1*sqrt(432) + 3 + 5). 384*sqrt(3) + 6920 Simplify (-6*(3*sqrt(2057)*-2 - sqrt(2057)) + 4 + 5)**2*-5. -18143145 - 41580*sqrt(17) Simplify (0 + (0 + sqrt(720))*-2 - 1*sqrt(720)*-2)**2. 0 Simplify -4 + ((-1 + 2*sqrt(2) + (sqrt(288) - (sqrt(288) - (1 + sqrt(288)))))**2 - ((sqrt(10) - (sqrt(10) - sqrt(40)/sqrt(4)*-3))/sqrt(5))**2). 370 Simplify (((sqrt(175) - (-2 + sqrt(175))*-5) + 4*(sqrt(175) + 0))*-4)**2. -16000*sqrt(7) + 281600 Simplify (sqrt(153)/(2*sqrt(576)) - (sqrt(153) + (sqrt(153) - sqrt(153)*1*2))/sqrt(9)) + 0. sqrt(17)/16 Simplify sqrt(304) + sqrt(304) + (-1 + sqrt(304)*-3)**2 - ((sqrt(152) + sqrt(152)*-3)/sqrt(8) + -5). 34*sqrt(19) + 2742 Simplify sqrt(13) + -6*(sqrt(13) + sqrt(1300))**2 + 0 - sqrt(156)/(sqrt(72)/sqrt(486)). -9438 - 8*sqrt(13) Simplify (-3 + (-2*sqrt(224))/(sqrt(968)*1))**2. 24*sqrt(7)/11 + 1201/121 Simplify ((sqrt(26) - (sqrt(2600)*5 + sqrt(26)))/sqrt(2) + 2 + sqrt(13) + 4*sqrt(13) + -1)**2. -90*sqrt(13) + 26326 Simplify (((sqrt(1377) + 1)*5*6 + 4)*-4)**2. 293760*sqrt(17) + 19847296 Simplify (sqrt(156)*-5)/((sqrt(189)/sqrt(7) - sqrt(27))/sqrt(9) + sqrt(3))*-2. 20*sqrt(13) Simplify 6*6*(-2*sqrt(91))/sqrt(7)*-4. 288*sqrt(13) Simplify (-4 + 3*(sqrt(44) + sqrt(11)) + sqrt(11) + sqrt(11) + 4 + sqrt(11)*-1)**2 + ((sqrt(22) - sqrt(22)*-1)*-5)/(sqrt(2) - (sqrt(72)/sqrt(4) + sqrt(2))). 10*sqrt(11)/3 + 1100 Simplify (-2*(sqrt(84)*-1)/sqrt(4))/((sqrt(192)/(sqrt(24)/sqrt(3)))/sqrt(8)). 2*sqrt(7) Simplify 3 + -2*(sqrt(95)/(sqrt(15)/sqrt(3)) + sqrt(19))*5. -20*sqrt(19) + 3 Simplify -2 + (sqrt(22)/(sqrt(8)/(sqrt(12)/sqrt(3))) + 2*sqrt(11)*-1*-1)**2. 97 Simplify 5*((1 + (sqrt(128) - 2*sqrt(128)))**2 + sqrt(128) + sqrt(128) + 3 + 4). 680 Simplify (1*1*sqrt(891)*6*-5)**2*-3. -2405700 Simplify (sqrt(52)/sqrt(72))/(sqrt(2) - (sqrt(128) + sqrt(128)*5)). -sqrt(13)/282 Simplify ((sqrt(240) - -2*sqrt(240))/sqrt(10) + -2*sqrt(864))/((sqrt(72) - sqrt(72)*3)*3 + sqrt(72)). 3*sqrt(3)/5 Simplify (-3*-2*sqrt(84)*-2)/((1*sqrt(120))/sqrt(10) + (sqrt(48) - -1*sqrt(48))). -12*sqrt(7)/5 Simplify ((sqrt(448) - (sqrt(448) + sqrt(448)*-2 + sqrt(448) + sqrt(448) + sqrt(448))) + 1 - (1 + 2*sqrt(448)) - (sqrt(448) + -1 + 3 + 0))**2. 128*sqrt(7) + 7172 Simplify (2*-5*(sqrt(128) - (1 + sqrt(128) + (sqrt(128) - (sqrt(128) + 2)))))**2. 100 Simplify 2 + (-2 + sqrt(144)/sqrt(3) + sqrt(768) + 2)**2. 1202 Simplify -6*(-1*sqrt(425))**2 + sqrt(425) + (-2*sqrt(425)*2 + sqrt(425))**2 + (sqrt(425) + -5 + sqrt(425) + 3 + sqrt(425) + -5)**2. -205*sqrt(17) + 5149 Simplify (sqrt(54)/(-1*sqrt(9)))/((sqrt(27)/sqrt(3))/sqrt(3)) + -5. -5 - sqrt(2) Simplify 2 + ((sqrt(55)/(sqrt(15)/sqrt(3)) - sqrt(11)) + (-2*sqrt(1584))**2)*-6*4. -152062 Simplify -2 + (sqrt(44) + (sqrt(440)*-2 - sqrt(440) - sqrt(440))/sqrt(10))**2 - -4*(sqrt(44) - (sqrt(44) - sqrt(264)/sqrt(6))*-2). 8*sqrt(11) + 394 Simplify (sqrt(120)/(1*sqrt(45)))/((sqrt(12) + sqrt(300))*1*2). sqrt(2)/36 Simplify ((-3*sqrt(2112) + sqrt(2112) - sqrt(2112))*-6)/((sqrt(275)*1 - sqrt(275) - sqrt(275))*2). -72*sqrt(3)/5 Simplify (sqrt(80) + (-4 + sqrt(80)*3 - sqrt(80)) - (sqrt(80) + -1 + sqrt(80) + -1 + sqrt(80) - sqrt(80)))**2*-5. -420 + 80*sqrt(5) Simplify -1 + sqrt(891) + (1 + sqrt(891))**2 - (sqrt(704) + -2)*-4. 59*sqrt(11) + 883 Simplify (sqrt(1872)*-2)/(sqrt(324) + (sqrt(324)*-2 - sqrt(324)) + sqrt(324)) + 2. 2 + 4*sqrt(13)/3 Simplify (-4 + sqrt(1573) + sqrt(1573) + 1 - ((sqrt(1573)*2 + sqrt(1573))*-5 - sqrt(1573)))**2. -1188*sqrt(13) + 509661 Simplify (sqrt(392)/(2*sqrt(7)) - (sqrt(56)*-2*1 - sqrt(56)))/(6*sqrt(8)*-3*5). -7*sqrt(7)/180 Simplify (-3 + (sqrt(363) - (sqrt(363) + -1 + -2)))**2 - (6*(0 + sqrt(363))**2 + (sqrt(363) - (sqrt(363) + -1 + -1))). -2180 Simplify (1*(sqrt(192) + 4) - sqrt(192))**2 + -4 + 5*(-3 + sqrt(3)). -3 + 5*sqrt(3) Simplify 6*(-3 + -2*(-2 + sqrt(432))). -144*sqrt(3) + 6 Simplify -2 + (-2 + -5 + -1*sqrt(68))**2*1. 115 + 28*sqrt(17) Simplify -2*((sqrt(15)/(sqrt(5)*-2 - sqrt(5)) - (sqrt(3) - ((sqrt(30)*3)/sqrt(10))**2)) + -1). -52 + 8*sqrt(3)/3 Simplify -3*(0 + (sqrt(5) + -1 - sqrt(5)) + (sqrt(5) - (sqrt(5) - (sqrt(5) + (sqrt(5) + sqrt(5)*2)*-3)))). 3 + 24*sqrt(5) Simplify (sqrt(17) - (sqrt(170) - sqrt(170)*3)/sqrt(10))**2 - (sqrt(17) - (-2 + (sqrt(119)/sqrt(7) - sqrt(17)))) - (2*(sqrt(17) + -3)**2 + -1*sqrt(833)). 18*sqrt(17) + 99 Simplify ((sqrt(468) + -1)*3 - (sqrt(468) - -1*sqrt(468) - sqrt(468) - sqrt(468))*1)**2 + -1. -108*sqrt(13) + 4220 Simplify (5 + -3*-1*sqrt(1088) + 3 + -1)*-4. -96*sqrt(17) - 28 Simplify (((sqrt(112) - sqrt(7)) + -1)**2 - sqrt(70)/(sqrt(40)/sqrt(4))) + -3*(sqrt(7) - (sqrt(7) - (-1*sqrt(28))**2)). -20 - 7*sqrt(7) Simplify (-1*sqrt(1500)*-4)/(sqrt(30)/(sqrt(1440)*-1 + sqrt(10)))*-1. 440*sqrt(5) Simplify (-1 + (sqrt(85)/(sqrt(35)/(sqrt(42)/sqrt(6))) - ((sqrt(1377)*3 - sqrt(1377)) + -2)))**2. -34*sqrt(17) + 4914 Simplify (4 + sqrt(704)*2*-1)**2*4. -512*sqrt(11) + 11328 Simplify (4 + sqrt(72) + -3 + sqrt(72) + 4 + sqrt(72)*3 + 3)**2. 480*sqrt(2) + 1864 Simplify (((sqrt(468) - (4 + -2*sqrt(468))) + 1)*3)**2. -972*sqrt(13) + 37989 Simplify 1*((-5*3*(sqrt(65) + sqrt(65) + -1*sqrt(65) - sqrt(65)))/(sqrt(5) - sqrt(40)/sqrt(2) - (sqrt(5) - (-1*sqrt(20)/sqrt(4) - sqrt(5)))))**2. 0 Simplify (((1*sqrt(171)*-1 + sqrt(171) - sqrt(171)) + sqrt(171) - (sqrt(171) + sqrt(171)*-1*1))/(sqrt(90)/sqrt(90) - (sqrt(9) - 2*sqrt(9)*1)))**2. 0 Simplify (6*(sqrt(500) - (sqrt(500) - (sqrt(500) - (-4 + sqrt(500) + 2) - sqrt(500))))*-2)**2. -5760*sqrt(5) + 72576 Simplify 0 + (5*1*sqrt(76) - sqrt(76))**2 + 2 + 0 + 3. 1221 Simplify (-1 + sqrt(833) + 1 + 4 - 4*(1 + sqrt(833))*4)**2 + 0. 2520*sqrt(17) + 187569 Simplify sqrt(15)/(sqrt(10)/sqrt(2)*4 + sqrt(5)) + sqrt(21)/(3*sqrt(21)/sqrt(3)). 8*sqrt(3)/15 Simplify (((sqrt(405)*-2 + -5)*1 - (4 + 1 + sqrt(405) + sqrt(405) + sqrt(405) - sqrt(405)*-2*4))*2)**2. 9360*sqrt(5) + 274180 Simplify 5 + 6*(sqrt(500)*-1)**2 + 1. 3006 Simplify 5 + 4*(sqrt(48) + sqrt(240)/sqrt(5))*-3. -96*sqrt(3) + 5 Simplify ((3 + sqrt(128) + sqrt(16)/sqrt(128) + 2)*-3)**2. 1485*sqrt(2)/2 + 11601/8 Simplify (sqrt(1250) + sqrt(1250)*-4 - sqrt(1250))/(2*sqrt(10)*4). -5*sqrt(5)/2 Simplify (sqrt(315) - (1*sqrt(315) - sqrt(315))*5 -
{ "pile_set_name": "DM Mathematics" }
Let f be 96/10*345/138. Let m = 35 + -38. Put m, f, 2, -5 in descending order. f, 2, m, -5 Let i(d) = 7*d**2 + d - 2. Let z be i(-1). Suppose -m - 25 = -z*k, -m + 0*m = -3*k + 19. Suppose 8*c = k*c - 2. Sort 1, 3, c in increasing order. c, 1, 3 Let h(o) = -o**3 + o**2 + o. Let g be h(0). Let k be g + 3 - (-16 + 26). Put k, -1, -0.02 in descending order. -0.02, -1, k Let x(o) = o**3 - 2*o**2 - 3*o + 7. Let u be x(2). Suppose 22*q - 24*q = -88. Let f be (2 + -4)/(-5 - q/(-8)). Sort u, -3, f. f, -3, u Suppose -a - 135 = 4*j + 2*a, 4*a - 48 = j. Let k = 425284 + -425285. Sort 0.1, k, j in increasing order. j, k, 0.1 Let i = -3205 + 3210. Sort -810, i, -1 in decreasing order. i, -1, -810 Let t = -0.3 + 5.3. Let x = 0.02 + -0.034. Let n = x - 0.086. Put t, n, 6 in decreasing order. 6, t, n Suppose -18*h + 42 = 78. Sort 2, 6, h, 53. h, 2, 6, 53 Let r be -2 - (((-7)/49)/1)/((-1)/7). Put -8, 1, r in increasing order. -8, r, 1 Let y(a) = a**2 - 26*a - 269. Let n be y(34). Suppose 0 = 4*d - 5*u - 1, -u + 15 = 4*u. Sort 2, n, d in descending order. d, n, 2 Let m = -10.6 - -7. Let k = m + 3. Let q = 4006.6 + -4011.6. Put k, 1, q in ascending order. q, k, 1 Suppose 0 = -3*k + 2*b + 3, -2*k + 2*b - 14 = -12. Sort 2, 197, k, -1 in increasing order. -1, 2, k, 197 Suppose 17*c - 463 = 115. Suppose 10*v - 84 = -c. Suppose 4*m + 11 + 9 = 0. Sort 4, v, m in decreasing order. v, 4, m Suppose -5*t + 6*t = -q - 7, 3*t - 5*q = -13. Let y be (21/70)/((-3)/t). Let n be (1/4)/(6/(-32)). Sort 0, n, y in decreasing order. y, 0, n Let v(p) = -p + 9. Suppose x - 2 = 4. Let j be v(x). Suppose -7*r + 723 - 744 = 0. Put j, -8, 5, r in descending order. 5, j, r, -8 Let u = 15406 - 12527. Sort -0.3, u, -2/11 in decreasing order. u, -2/11, -0.3 Let m(w) = w**3 + 3*w**2 + 2*w. Let h be m(-3). Let p be 2 - 3/(-21)*-12. Let y = 46/397 - -259/1191. Put y, p, h in decreasing order. y, p, h Let q be 3/(12/(-9)*(-162)/(-288)). Sort -5, q, 0, -61 in descending order. 0, q, -5, -61 Let w = -117 - -122. Suppose -3 = -4*m + m, -w*v - 2*m + 102 = 0. Sort -1, v, -3 in ascending order. -3, -1, v Let v = -13059.84 - -13060. Sort -36, -5, v, 1, -4 in decreasing order. 1, v, -4, -5, -36 Let m be (-15)/(-2) - 7650/1020. Sort 5, 149, m, -3 in decreasing order. 149, 5, m, -3 Let o = 18117 + -18119. Sort o, 0.07, -339 in ascending order. -339, o, 0.07 Let o be 1*-1 - (30 - (-80)/(-4)). Sort -17, o, -1/5 in descending order. -1/5, o, -17 Let q be 64/(-768)*(0/2 - 4). Sort q, 7, -3 in decreasing order. 7, q, -3 Let h = 767 - 764. Let s be ((-1)/(-7))/((9/(-6))/h). Put 2/29, -3/7, s, -3 in increasing order. -3, -3/7, s, 2/29 Let y = -31 - -103. Suppose -5*w - 81 = t, 4*t = -3*w - 345 + y. Sort t, -4, -5. t, -5, -4 Let v = 87.572 - 0.572. Let z = v + -91.1. Put 2/5, -1, z in increasing order. z, -1, 2/5 Let p = 128.28 - 132. Let d = p - -6. Let x = d + -0.28. Sort -3, x, 3/7. -3, 3/7, x Let n be 5/10 + 23/2. Let c = 130 - 82. Let j = c - 46. Put n, 1, j in ascending order. 1, j, n Let t be -4 - (-1 - 1 - 0). Let s = 24 + -35. Let n = -12 - s. Sort t, n, 5 in decreasing order. 5, n, t Let b = 13697 + -13703. Sort b, 1/49, -2 in decreasing order. 1/49, -2, b Let l = -849 - -826. Sort 1, -5, -1, l, 15. l, -5, -1, 1, 15 Suppose 2*y = 5*y + 6. Let j = -51 + 50. Let b be j - (1 + 2 - (0 - 0)). Sort y, 19, b in decreasing order. 19, y, b Let a = -4 + 2. Suppose 2*i + 0*i - 3*u - 43 = 0, 3*u = -4*i + 59. Suppose 4*q = -5 + i. Put -5, a, q, 2 in descending order. q, 2, a, -5 Let h = 211 + -207. Suppose 0 = 5*q - 5*u + 30, 0 = h*u - 1 - 11. Put 23, 0, q in descending order. 23, 0, q Let s be (-2 + (3 + -4)*-2)/1. Suppose z + 2*z - t - 822 = s, 5*z + 3*t = 1356. Let b = z - 3547/13. Sort b, 0, 2/7, -4 in ascending order. -4, 0, b, 2/7 Let n = 97 - 120. Let v = n - -20. Let x be (-5)/7 - (-4)/(-14). Sort x, 3, 1, v in descending order. 3, 1, x, v Let d = 1.707 + -0.707. Sort 0.4, -3, -0.3, -2/7, d in ascending order. -3, -0.3, -2/7, 0.4, d Let b(p) = 2*p - 56. Let i be b(30). Sort 1, i, 5, 10 in increasing order. 1, i, 5, 10 Let u be ((-198)/(-11))/((48/(-6))/(-8)). Sort u, 3, -18 in decreasing order. u, 3, -18 Let i be 9/(-14 + 21 - 6/1). Sort i, -5, -1, 0, 1 in descending order. i, 1, 0, -1, -5 Let c be (3 - (-82)/(-28))/((-6)/(-21)). Put -0.129, 0.4, -1, c in decreasing order. 0.4, c, -0.129, -1 Let a be (-2*(-9)/(-24))/(26/728). Put a, 4, -2 in descending order. 4, -2, a Let n = -460 - -460.437. Let l = -1.563 - n. Put l, 6/17, 1/2 in ascending order. l, 6/17, 1/2 Suppose -4*p = -2*p - 7*p - 4*p. Sort p, 3, 55, 1, 2 in descending order. 55, 3, 2, 1, p Let f = 22753.1 - 22753. Sort 1/3, f, 0.3, -0.4, -11 in decreasing order. 1/3, 0.3, f, -0.4, -11 Suppose -29 = 24*x + 47 - 100. Sort -2, -5, 3, -4, x in decreasing order. 3, x, -2, -4, -5 Let x be -1 + (-5)/(-3) + 5004/(-54). Let o be (-6)/8 + (x - -86). Put -0.5, 1, -3, o in increasing order. o, -3, -0.5, 1 Suppose 4*w - 5*p - 2650 = 0, 658 = w - 108*p + 106*p. Sort 5, 2, w in ascending order. 2, 5, w Suppose 0 = 3*i - 3*a + 669, 0 = 4*i + 5*a + 571 + 330. Let c = 232 + i. Put -4, c, -5 in increasing order. -5, -4, c Let t = 6395 - 6412. Put -4, t, 26 in decreasing order. 26, -4, t Let s(f) = -153*f + 1682. Let q be s(11). Put -9, q, 19 in decreasing order. 19, q, -9 Suppose -2*r = -r + 3*s - 18, -4*r = -2*s - 58. Let u be (4/(-2))/(r/30). Sort u, 5, 25, 4 in increasing order. u, 4, 5, 25 Let x = -7 - -30. Let g = x + -17. Suppose -c = -3*c - g. Sort 1, 16, c. c, 1, 16 Let o = 1 - -3. Let p(d) = 62*d - 227. Let l be p(15). Let n = 6325/9 - l. Sort o, 0, n in ascending order. n, 0, o Let t = 541/4 - 136. Let o = -182 - -162. Let v be (2/o)/((-5)/(-30)*-3). Sort v, t, 4 in decreasing order. 4, v, t Suppose -2655*x + 3*h = -2658*x, -5 = -3*x - 4*h. Let k = 1 + 1. Let d = 2 - k. Put d, 5, x, 2 in decreasing order. 5, 2, d, x Suppose 0 = -12*h + 14*h + 5*c + 26, -4*c - 25 = 3*h. Let d = 114.126 + -0.126. Put h, -2, d in ascending order. h, -2, d Let z = -0.045 + 3.545. Let x = 1.5 - z. Sort x, -0.06, -4. -4, x, -0.06 Let j(y) = 2*y**2 - 55*y + 339. Let n be j(18). Sort 172, -4, n in increasing order. -4, n, 172 Let z = 12 + -1. Suppose 4*k = -3*y - z, 3*y + 5 - 4 = -2*k. Let m = -43661 + 43663. Sort m, 0, y in ascending order. 0, m, y Let y = -917/3700 - 2/925. Let l(v) = 2*v + 8. Let j be l(-7). Put j, y, 2/7 in ascending order. j, y, 2/7 Let q = 12 + -7. Suppose 31*j = -152*j + 562 + 719. Sort q, -2, j, 1. -2, 1, q, j Let x = -24 - -23.62. Let g = -78.62 + x. Let i = 82 + g. Sort i, -1/24, -5 in decreasing order. i, -1/24, -5 Let u be (-8)/(-112)*(-4018)/(-28). Put u, 2/9, -0.2 in increasing order. -0.2, 2/9, u Suppose 3*n + 2*n = -25. Suppose -4218 = 456*a + 1254. Sort n, -2, a in descending order. -2, n, a Suppose -3*m - 24 = 5*s, 2*s = 3*m + 30 - 48. Put -2/9, -2/17, 0.08, -0.4, m in decreasing order. m, 0.08, -2/17, -2/9, -0.4 Let b = -12789 - -12529. Put b, 3, 5 in decreasing order. 5, 3, b Let v = 1402 - 1401.987. Put -0.2, v, 0.2, -5, 0.5 in ascending order. -5, -0.2, v, 0.2, 0.5 Let h = 948.3 - 945. Put 2/3, -0.3, h, 2 in increasing order. -0.3, 2/3, 2, h Let r = -1895 - -28423/15. Sort -0.1, r, 0, 3/7, 1.9. r, -0.1, 0, 3/7, 1.9 Let f = -6255 + 6255. Sort -2/11, -1/4, -2, f, -0.04 in decreasing order. f, -0.04, -2/11, -1/4, -2 Suppose 0 = -112*d - 8312 + 1816. Sort 0, 2, 1, d. d, 0, 1, 2 Let k = 29797/8 + -3725. Sort 1/12, k, 0.4, 39. k, 1/12, 0.4, 39 Let x = -3250.44 + 3250.47. Let p = -2.3 - -2. Let g = -0.2 - p. Sort g, x, -1 in decreasing order. g, x, -1 Suppose 9*q - 5*q - 4 = 0. Let g(i) = -3*i**3 + 3*i**2 - i - 1. Let d be g(q). Put 3, -10, d in decreasing order. 3, d, -10 Let i = 11612/3 + -3878. Sort -2, -0.1, i, 0.03 in descending order. 0.03, -0.1, -2, i Let z = -18 + 19. Let a = z - -3. Let x be 1/((-16)/72)*(-4)/54*6. Put a, x, -5, 5 in decreasing order. 5, a, x, -5 Suppose 0 = -4*s - 17 + 53. Let y be (86/(-43))/(6/s). Sort y, -5, 0.7, -1/9 in descending order. 0.7, -1/9, y, -5 Let u = 3 + -1. Let b = -4614 + 4618. Put -5, 25, u, b in descending order. 25, b, u, -5 Let h = -5192 - -5131. Suppose -5*g + 28 = 3. Sort g, h, 2. h, 2, g Let n(m) = -m**3 - 10*m**2 - 21*m. Let q be n(-7). Suppose q = -5*f + 35 - 25. Put f, -1, -7/2, -1/3 in decreas
{ "pile_set_name": "DM Mathematics" }
26652100 321111322 (base 4) to base 3 102221012001 Convert -44525131 (base 7) to base 4. -32231100133 Convert 101523363 (base 7) to base 15. 7ce973 What is 31bc953 (base 13) in base 12? 5108898 107097 (base 15) to base 9 1423237 Convert c243a2 (base 13) to base 11. 2609549 bc2672 (base 13) to base 9 8305161 33322203 (base 4) to base 8 177243 1d3ac (base 14) to base 4 102101030 Convert 64325013 (base 7) to base 8. 24671202 Convert 10131331121 (base 4) to base 5. 244440124 -53455 (base 11) to base 2 -10010111110101110 What is -4053112 (base 7) in base 11? -300447 -8da9ba (base 14) to base 5 -2214100433 -1544b (base 12) to base 15 -8d5b What is -115350 (base 7) in base 9? -31850 What is 203505 (base 13) in base 11? 472563 What is 16b99c (base 16) in base 11? 927a37 What is -286326 (base 9) in base 5? -21101402 What is 372a (base 13) in base 7? 31525 48394 (base 11) to base 12 343a6 509b04 (base 14) to base 13 7412b3 Convert -1bd7c6 (base 15) to base 16. -14c7de -1896e (base 16) to base 2 -11000100101101110 Convert 5032d5 (base 15) to base 7. 44236010 What is -1689ac6 (base 14) in base 16? -a93ace What is -6797 (base 12) in base 13? -52cc What is -4136 (base 9) in base 7? -11556 What is 673162 (base 8) in base 10? 226930 Convert 772266 (base 9) to base 10. 460950 Convert 103421204 (base 5) to base 9. 757217 Convert -4103666 (base 8) to base 15. -165eb3 Convert -126b96 (base 14) to base 3. -1012011212120 What is -11220310 (base 4) in base 14? -85b6 What is -46116403 (base 7) in base 14? -769803 -12100221111 (base 3) to base 12 -51194 5323104 (base 6) to base 12 106494 What is -107c4 (base 15) in base 8? -146240 -2a4791 (base 15) to base 7 -23225065 Convert -145032545 (base 6) to base 4. -23211133301 What is -68539b (base 14) in base 15? -4a1712 What is 10000200101211 (base 3) in base 16? 188839 What is -ea32c (base 16) in base 9? -1721782 What is -b774 (base 14) in base 8? -75652 1444b (base 13) to base 12 1a060 What is 13041214 (base 5) in base 4? 133023010 What is -103332102020 (base 4) in base 8? -23762210 What is -100101011110000001 (base 2) in base 8? -453601 Convert -123111332 (base 4) to base 13. -3bc93 What is -44c51 (base 14) in base 6? -3325235 Convert 10100100000000001 (base 2) to base 6. 1444425 Convert 42069 (base 16) to base 3. 111201222100 What is 1102112212220 (base 3) in base 12? 307159 6ac31 (base 13) to base 4 233231030 Convert -1121010210 (base 3) to base 2. -111101011011001 -1010000101010000111 (base 2) to base 3 -121210012010 Convert -1223120 (base 7) to base 12. -76b45 12776820 (base 10) to base 14 19a83c0 Convert 1033430311 (base 5) to base 6. 120111131 -2808a (base 14) to base 8 -301132 818417 (base 9) to base 3 220122110121 What is -1221415 (base 7) in base 4? -212033020 4ab032 (base 12) to base 16 12a466 What is 23211233112 (base 4) in base 11? 179568a -4056631 (base 7) to base 8 -1663157 Convert 143300223 (base 5) to base 11. 479639 What is 53ab (base 13) in base 12? 6895 What is 200211202210 (base 3) in base 9? 624683 -201313455 (base 6) to base 7 -41110622 What is 2bc149 (base 13) in base 11? 67aa35 Convert 3014143 (base 9) to base 6. 54213320 -177ca (base 13) to base 8 -130351 Convert -355d4 (base 16) to base 7. -1600155 3d6182 (base 14) to base 6 113351302 What is -20131011 (base 4) in base 8? -103505 Convert 12200022121 (base 3) to base 8. 332231 12627 (base 13) to base 15 a11c 302755 (base 11) to base 9 821582 -2430234142 (base 5) to base 4 -111302132311 Convert -1001011001010110110111 (base 2) to base 10. -2463159 Convert 7c23b8 (base 13) to base 12. ba1417 Convert -44c57 (base 15) to base 13. -78775 13024511 (base 6) to base 14 b04d5 -166eba (base 16) to base 2 -101100110111010111010 12825664 (base 9) to base 7 104565001 What is 41401110 (base 6) in base 14? 232706 11100111000011000001 (base 2) to base 13 2719a8 What is 60971 (base 12) in base 6? 2410221 Convert 20100122211012 (base 3) to base 9. 6318735 What is 4c444 (base 14) in base 2? 101101110000101100 Convert 111111000001111 (base 2) to base 10. 32271 What is -26223b (base 16) in base 8? -11421073 110000010110001100100 (base 2) to base 16 182c64 What is 8a54 (base 14) in base 3? 1012220101 What is 412789 (base 13) in base 14? 2b7a23 Convert -fd255 (base 16) to base 3. -1221200100011 Convert -89203 (base 10) to base 5. -10323303 725d0 (base 15) to base 13 c8c85 10010000101100000010001 (base 2) to base 5 2203204022 56e9e (base 15) to base 13 98c18 Convert -9993 (base 15) to base 13. -11a6c 16497 (base 15) to base 7 416446 5044565 (base 7) to base 14 1186a5 Convert 110203433 (base 5) to base 4. 1310011211 2b3487 (base 15) to base 4 13331131321 What is -5512716 (base 9) in base 13? -7c8a02 What is -c9b3a (base 14) in base 2? -1110111000111011000 Convert 150b4 (base 15) to base 5. 4131134 -4654a (base 13) to base 11 -88467 Convert -30032122211 (base 4) to base 8. -14163245 117bb3 (base 16) to base 12 473097 What is -53371 (base 8) in base 4? -11123321 What is -1992 (base 16) in base 11? -4a11 -2101220101002 (base 3) to base 5 -311334410 -31021100203 (base 4) to base 9 -6431661 What is -606625 (base 7) in base 14? -29885 Convert 182ba (base 13) to base 11. 3203a Convert -467a47 (base 11) to base 13. -200033 235aa (base 16) to base 11 99886 Convert -1355050244 (base 6) to base 16. -ffad74 Convert -5c2b4 (base 13) to base 16. -296b6 111210011222 (base 3) to base 11 175937 What is -103210002 (base 5) in base 3? -211120120102 What is -188a292 (base 11) in base 3? -20000002212221 What is 2dec2 (base 16) in base 12? 90a2a -113004020 (base 5) to base 16 -7e027 -1a4094 (base 13) to base 11 -415264 What is -22002111212012 (base 3) in base 2? -10000011010000011000101 Convert -26bc1 (base 13) to base 3. -10200012112 Convert -12433423 (base 6) to base 10. -409047 -458a31 (base 16) to base 5 -2131313421 -440142330 (base 5) to base 6 -104152101 What is -30800b8 (base 13) in base 14? -1d4c638 163500 (base 8) to base 10 59200 -966735 (base 11) to base 7 -16066542 Convert 11bda4 (base 14) to base 8. 2245534 5564775 (base 10) to base 7 65204556 -2a03a (base 13) to base 7 -446506 6b9372 (base 12) to base 16 1a81c6 What is -75000 (base 12) in base 4? -211203000 Convert -8ceb4 (base 15) to base 12. -197897 -30635361 (base 9) to base 16 -e0b6ab What is -15022010 (base 7) in base 5? -330323113 -b5324 (base 12) to base 16 -39e8c What is -111202022 (base 3) in base 2? -10011100101001 30bea9 (base 16) to base 9 6008065 -274678 (base 13) to base 3 -1210101110121 Convert -102bb4 (base 12) to base 6. -5235544 -312410415 (base 6) to base 14 -a1a2b9 -1561626 (base 9) to base 6 -30331123 What is 1e417 (base 15) in base 9? 160464 What is 48344 (base 11) in base 16? 10ff7 Convert -6cad (base 15) to base 7. -124246 Convert 12012211021 (base 3) to base 9. 165737 -25b6a (base 15) to base 6 -2330444 -46314601 (base 7) to base 4 -33131320123 What is 758a422 (base 11) in base 8? 62701050 What is -10462 (base 12) in base 3? -1002100002 What is -8f3a4 (base 16) in base 2? -10001111001110100100 What is -101001100030 (base 4) in base 2? -10001000001010000001100 16a30a5 (base 11) to base 3 12102202010020 What is 1230149 (base 10) in base 6? 42211045 121529 (base 10) to base 7 1014212 13310000121 (base 4) to base 6 111521333 Convert 100000000111000000011010 (base 2) to base 16. 80701a Convert -54535 (base 15) to base 13. -94b80 -40474 (base 8) to base 5 -1013300 10132322030 (base 4) to base 7 12663116 Convert -1011012220212 (base 3) to base 10. -614489 -1122361 (base 7) to base 3 -21010020011 -4837a4 (base 14) to base 13 -68569a What is -1202441 (base 5) in base 6? -250554 -39754 (base 12) to base 16 -133f0 -b26a35 (base 14) to base 7 -102044565 What is -3001112 (base 11) in base 8? -24217064 Convert 137783 (base 11) to base 12. a4679 What is -260b0c3 (base 13) in base 5? -11021440302 What is -1355454 (base 6) in base 8? -227632 Convert 14234132 (base 5) to base 15. 2e37c -101101100111001000010 (base 2) to base 12 -600b16 -fbd2 (base 16) to base 14 -196ca What is -236ba (base 12) in base 13? -18904 What is -128c5aa (base 14) in base 16? -88838a Convert -349743 (base 10) to base 11. -219849 -1442401012 (base 5) to base 4 -32301110013 What is 616b4 (base 16) in base 12? 172b04 What is -30411331 (base 5)
{ "pile_set_name": "DM Mathematics" }
t j be ((-4)/15)/(c/(-5)). Put u, j, 1/11 in decreasing order. 1/11, u, j Suppose 5 + 7 = 6*g. Sort g, -5, -2 in increasing order. -5, -2, g Let n = 5 + -3. Suppose n*m + 1 = 3. Suppose -11 - m = 4*w. Put 2/9, -0.4, w in decreasing order. 2/9, -0.4, w Let u = 52 - 52.3. Sort 3, 11, -5, u in increasing order. -5, u, 3, 11 Suppose -2*z - 3*o = 3, 2*o - 9 = -5*z - 0*o. Let h be 3/z - (-26)/(-30). Sort h, -4, 2 in increasing order. -4, h, 2 Let z = -28/5 + 79/15. Sort -1, z, -2 in descending order. z, -1, -2 Let r = 6 - 10. Let h = -7 + 4. Put 2, h, r in decreasing order. 2, h, r Let f = 4 + -2. Let x = -0.15 - 0.85. Let m = -0.8 - x. Put m, f, -4 in descending order. f, m, -4 Let p be 18/(-12) - 7/2. Sort p, 4, 2 in decreasing order. 4, 2, p Let r = 8 - 13. Let q(b) = 3*b**3 - b + 1. Let w be q(1). Put w, r, 0.4 in ascending order. r, 0.4, w Suppose -z - 1 = 2. Let t = -3.4 + 3. Put t, z, -1/8 in increasing order. z, t, -1/8 Let a = 11 - 6. Let n = -4.7 + a. Let k = 0 + -1. Sort k, -5, n. -5, k, n Let r be 1/(-1) - (-2 + 10/2). Put -7, -3, r, 3 in decreasing order. 3, -3, r, -7 Suppose -6*z = -z + 4*l - 3, 2*z + 3*l = -3. Let y be ((-3)/12)/(5/(-76)). Let h = -4 + y. Sort h, -3, z. -3, h, z Let o(d) = -d**3 + 6*d**2 + d - 1. Suppose -v - 4*r - r + 31 = 0, -2*r - 20 = -5*v. Let t be o(v). Put 1, t, 1/3 in increasing order. 1/3, 1, t Let s = -8 - -6.5. Let j = s + 2. Let b be (-54)/(-13) - (-2 + 6). Sort j, b, -4 in increasing order. -4, b, j Let c be (-92)/(-60) + (-3)/15. Suppose 3*p - 3 - 6 = 0. Let g be 5/15 + (-13)/p. Sort c, g, 3/7. g, 3/7, c Let t = -3.6 + 0.6. Let v = 3/70 - 173/770. Sort 1/4, t, v in descending order. 1/4, v, t Let k = -19.6 + 20. Let l = -11 + 4. Let a = 6 + l. Put 4, a, k in increasing order. a, k, 4 Suppose -4*f + 20 = r, -4*f - 3*r + 31 = 3. Let g = -9 + f. Sort g, -4/7, -1/4 in increasing order. g, -4/7, -1/4 Let z be 10/(-4)*24/(-20). Suppose -4*s + p - 31 = 0, 6*p - 3*p - 9 = 0. Let j = -12 - s. Sort z, j, -1 in ascending order. j, -1, z Let j be 3 - (0 - -4) - -3. Sort -2/13, j, -0.09 in increasing order. -2/13, -0.09, j Let b(f) be the first derivative of f**3/3 + 5*f**2 + 2*f - 8. Let r be b(-9). Put -4, r, 2 in ascending order. r, -4, 2 Let g = 14 + -10. Let x be (1 - 7)*(-2)/g. Sort 0.2, x, -2/7 in decreasing order. x, 0.2, -2/7 Let j be 2/16 + ((-23)/(-8) - 2). Put -1, j, 67 in increasing order. -1, j, 67 Suppose 3*c - c - 4 = -3*d, -2 = d. Sort -0.2, 4, c in ascending order. -0.2, 4, c Suppose 0 = -5*h + 3*f + 45, -2*f + 4*f - 20 = -5*h. Suppose -2*b = 2 + h. Put b, 1, 4 in ascending order. b, 1, 4 Let h(g) = g**3 - 2*g + 1. Let u be h(-2). Put 4, u, -4 in decreasing order. 4, u, -4 Let x = -0.16 + -7.84. Let g = x - -6. Sort g, -1, -4 in decreasing order. -1, g, -4 Let a = -0.09 + 1.09. Put 0, 0.5, a in decreasing order. a, 0.5, 0 Let c be (4/(64/(-12)))/((-1)/4). Sort c, 2, 1 in decreasing order. c, 2, 1 Suppose w = -r - 8, 4*w - 20 = -3*r - 48. Let x = -7 - w. Sort 4, x, -1 in ascending order. x, -1, 4 Let p be (2/4)/(1/8). Suppose 0*t - p*t + 16 = 0. Let b(y) = 3*y**3 - y - 2. Let v be b(-1). Sort 1, t, v in decreasing order. t, 1, v Let u be -1 - (30/4)/(-3). Let y = u - 11/6. Let k = -0.23 + -0.07. Put 0.5, k, y in decreasing order. 0.5, k, y Suppose 2*b = 14 - 10. Sort b, -5, 4 in increasing order. -5, b, 4 Suppose w + 12 = -2*w. Let i = -1 - 0. Sort i, w, -2/7 in ascending order. w, i, -2/7 Suppose x + 32 = -3*t - 8, -60 = 4*t + 3*x. Let w be ((-8)/t)/(1/(-3)). Let h(m) = -m**2 - 7*m - 1. Let z be h(-6). Sort 2, z, w in descending order. z, 2, w Let d(r) = -7*r + 36. Let y be d(5). Put 2, y, 3/8 in descending order. 2, y, 3/8 Suppose 0 = 5*u + 3*c - 20, 3*c + 20 = 3*u + 2*u. Sort 0, u, 1 in decreasing order. u, 1, 0 Let y be (-6)/15 - 36/10. Sort 2, -3, y in ascending order. y, -3, 2 Suppose 6 = 4*b - 10. Let j be 2/3*(2 + 1). Sort b, 0, j in increasing order. 0, j, b Suppose 5 = 3*j - 4*j. Let m = 0.2 - 0.2. Let q = m + -0.5. Sort -2/3, j, q in increasing order. j, -2/3, q Let o = 662/5 - 132. Let h = 4.91 + 0.09. Let f = -0.2 - -0.1. Sort f, h, o in decreasing order. h, o, f Let q = 33 + -34. Put 1, q, 5 in descending order. 5, 1, q Let x = -103 - -106. Sort 10, -4, x. -4, x, 10 Let m be -7 + 1 - (-14 - -11). Suppose -s = 3*q + 2*q - 16, -s - 14 = -5*q. Sort 1, m, q. m, 1, q Let w = 58 - 62. Put w, 5, -0.2, 0.2 in decreasing order. 5, 0.2, -0.2, w Let z = -3 - -5. Put 0, z, 10 in ascending order. 0, z, 10 Let u = 206 - 1446/7. Let h be (-102)/(-105) + (-4)/10. Sort u, h, 4. u, h, 4 Let h = -47 + 43. Sort -5, h, -11 in ascending order. -11, -5, h Let a be -2 + 0/(-2 + 0). Suppose 2*u - 28 = -24. Put u, 1, a in descending order. u, 1, a Let c = 5 - 3. Sort 0.3, 0.1, c in ascending order. 0.1, 0.3, c Let t = 3.1 + -3. Let z = -1.2 - -1.32. Let u = -4.12 + z. Put t, u, -0.3 in ascending order. u, -0.3, t Suppose -3*i = -104 + 320. Sort i, 4, 1. i, 1, 4 Suppose n + 26 = -5*p, 2*p + 7 = 3*n - 0*n. Let b = -5 + 5. Put b, -4, p in descending order. b, -4, p Let o be (4 - (-45)/(-10))/((-2)/20). Let z = -3 + 2.8. Let l be 2/18*(-6)/(-4). Sort o, z, l in increasing order. z, l, o Let g = -67 + 70. Sort g, 0, 1, 4 in ascending order. 0, 1, g, 4 Let m = 6.73 + 0.27. Sort 2, 2/7, m in increasing order. 2/7, 2, m Let f = -5 - -7. Sort 3, 4, f in ascending order. f, 3, 4 Let b = 10.1 - 11. Let a = b + 0.5. Sort a, 4/9, 0.1. a, 0.1, 4/9 Suppose 5*p + 2*a - 15 = 0, -7*a + 2*a - 25 = 0. Suppose -16 = -f - f - 5*k, -3*f = -k - 7. Sort p, -2, f. -2, f, p Let a(f) = -3*f + 5. Let q be a(2). Sort q, -0.5, 4 in decreasing order. 4, -0.5, q Let r be 4 - (-1 + 3) - -2. Sort -2/29, -1, r in descending order. r, -2/29, -1 Suppose -3*z = 6*k - 2*k + 1, 4*k - 5 = -z. Put -4, -5, 1, k in decreasing order. k, 1, -4, -5 Let v = -0.023 - 10.477. Let h = 11 + v. Let d = -0.9 + h. Put -0.1, -0.5, d in decreasing order. -0.1, d, -0.5 Let i = 21.6 - 22. Let b = i - -0.3. Sort b, -2, -4. -4, -2, b Let c(g) = -g - 4. Let v be c(-2). Sort -9, v, -5 in descending order. v, -5, -9 Let c = 16 - 13. Let r = -5/14 + 1/14. Put 4, c, r in decreasing order. 4, c, r Let m = 40 - 32.8. Let r = m - 7. Sort -0.4, -3, r in increasing order. -3, -0.4, r Let a(o) = -2*o + 44. Let n be a(20). Suppose 4*z - 2 - 2 = 0. Sort z, -3, n. -3, z, n Let g(k) = -2*k + 0*k + 52 - 48 + k. Let o be g(6). Sort o, -3, 1 in ascending order. -3, o, 1 Let p = 3 + -13.4. Let l = -10 - p. Put l, -2/5, -3 in decreasing order. l, -2/5, -3 Let j be (-1)/(-1 + 4/5). Let l(t) = -6*t - 16. Let a be l(-4). Put j, 1, a in decreasing order. a, j, 1 Let n be -2 - -1*(-28)/(-4). Sort -0.2, 0.1, n in ascending order. -0.2, 0.1, n Suppose 3*h + 8 = -0*h - 2*c, -3*c - 10 = 4*h. Suppose 3*u + t = 20, -t - 4 = -3*u + 6. Let y = -9 - -6. Sort h, y, u in decreasing order. u, y, h Let s(j) = -j**3 - 16*j**2 + j + 18. Let v be s(-16). Put 0, -1, v in descending order. v, 0, -1 Let m = 0.6 - 1.6. Let i = 1.4 + m. Sort 2, -2/7, i. -2/7, i, 2 Suppose 6*i = 2*i - 252. Let v be 69/i - (2 + -3). Sort 2/11, -0.3, v in increasing order. -0.3, v, 2/11 Let w be (4/6)/((-1)/(-3)). Suppose c - 4 = 5*r, w*r = -0*r - 4*c + 16. Let y be (-3)/((-2)/(-4)*-3). Put r, -3, y in ascending order. -3, r, y Let t = 0.6 + -0.2. Let s be (-6)/(-18) - 3/63. Sort t, s, -1 in descending order. t, s, -1 Suppose 5*j + 2 = -p - 4, -3*p + 12 = 0. Suppose 0 = 4*l + 4*f - f - 11, 0 = 3*l + 4*f - 3. Let d = l - 9. Put 4, d, j in descending order. 4, j, d Let a = 49 + -45. Sort a, 0.5, 7, -4 in increasing order. -4, 0.5, a, 7 Suppose 3*p + 0*p - 2*h = 8, -4 = -2*p + h. Let v = -12 + 18. Suppose -3*c + 3*q - v*q + 9 = 0, -2*q = p. Sort 0.4, -2/3, c in increasing order. -2/3, 0.4, c Let o = -120.2 + 108. Let r = 12 + o. Put r, -3, 0.4 in decreasing order. 0.4, r, -3 Suppose 5*f = -f + 24. Let a(v) = 2*v**3 + 4*v**2 - v. Let p be a(-3). Let u be 3/(-15) - 1/p. Sort u, f, 0.1. u, 0.1, f Suppose 3*u = -t - 23, 5*u + t = 6*t - 5. Put u, 3, -1 in ascending order. u, -1, 3 Let l be 1 + (3 - 0)/3. Let x be 3/l + 11/(-2). Sort 3, -5, x. -5, x, 3 Suppose -4*g = 4, -5*o + 3*g + 2*g - 10 = 0. Put o, 6, -4, -1 in descending order. 6, -1, o, -4 Let s = 1 + 3. Suppose s = -2*t - 0. Put 0.1, -0.5, t in decreasing order. 0.1, -0.5, t Let w =
{ "pile_set_name": "DM Mathematics" }
base 8) to base 10. 4108 What is -aa70 (base 14) in base 2? -111001100111010 -a95b (base 12) to base 16 -48d7 Convert -1122202121 (base 3) to base 5. -2021012 What is -2242 (base 10) in base 11? -1759 What is -2223222 (base 4) in base 9? -16056 -612 (base 9) to base 12 -355 What is -414 (base 10) in base 9? -510 Convert -123ca (base 13) to base 2. -1000001101011100 Convert 1116 (base 8) to base 10. 590 What is -3013 (base 4) in base 14? -103 What is -12202301 (base 4) in base 16? -68b1 3431 (base 5) to base 16 1eb Convert -12 (base 11) to base 8. -15 What is -10515 (base 6) in base 4? -113033 What is 241412 (base 5) in base 4? 2030112 1588 (base 12) to base 10 2552 -2 (base 14) to base 6 -2 What is -23603 (base 7) in base 12? -3668 -7786 (base 11) to base 13 -4891 What is -1080 (base 11) in base 10? -1419 -1421 (base 7) to base 8 -1052 What is -caa (base 13) in base 4? -201320 What is 124 (base 16) in base 4? 10210 -3c04 (base 14) to base 15 -320d Convert -2346 (base 7) to base 8. -1543 What is 1307 (base 16) in base 5? 123441 What is -4bee (base 16) in base 2? -100101111101110 Convert 94b (base 13) to base 15. 709 Convert 39545 (base 10) to base 4. 21221321 Convert 241474 (base 8) to base 7. 463151 Convert 820 (base 12) to base 2. 10010011000 -c2d (base 16) to base 9 -4243 Convert 4737 (base 8) to base 10. 2527 -2200 (base 5) to base 12 -210 What is 10000001100 (base 2) in base 7? 3010 24650 (base 7) to base 3 22220212 Convert 104401 (base 5) to base 4. 322032 2241 (base 5) to base 6 1253 What is 379 (base 11) in base 16? 1c1 What is 1345 (base 7) in base 16? 20b Convert -34633 (base 7) to base 14. -3353 -100101001111 (base 2) to base 12 -1467 Convert 33774 (base 8) to base 13. 66a6 Convert 22022 (base 4) to base 14. 346 What is 260 (base 16) in base 9? 745 -10d (base 15) to base 7 -460 What is 120000 (base 4) in base 6? 11040 1021 (base 15) to base 2 110101001110 Convert -13474 (base 12) to base 7. -140335 -12cf0 (base 16) to base 2 -10010110011110000 What is 25aa (base 13) in base 2? 1010100000011 2102042 (base 5) to base 14 c8ab Convert -247 (base 13) to base 6. -1501 What is 19572 (base 10) in base 8? 46164 -10101100110001 (base 2) to base 14 -405b Convert 112022 (base 5) to base 13. 1a98 -1122212211 (base 3) to base 4 -13333033 13014 (base 5) to base 13 5c8 What is -70 (base 14) in base 12? -82 Convert -7aa (base 11) to base 12. -687 Convert -322201 (base 4) to base 2. -111010100001 Convert 12031 (base 4) to base 8. 615 What is -33683 (base 10) in base 6? -415535 -2775 (base 8) to base 14 -7b7 36001 (base 7) to base 16 242e Convert -14003 (base 10) to base 11. -a580 55 (base 16) to base 11 78 What is 3160 (base 7) in base 9? 1474 -12000001 (base 3) to base 7 -13426 What is 30132230 (base 4) in base 16? c7ac -22 (base 7) to base 8 -20 -55 (base 15) to base 6 -212 -6b (base 12) to base 13 -65 Convert 282 (base 12) to base 8. 602 Convert 417c (base 16) to base 6. 205340 Convert -2031 (base 6) to base 8. -703 What is 1110110010 (base 2) in base 3? 1022001 -5429 (base 12) to base 16 -2421 -201020 (base 3) to base 2 -1000000111 What is 1202202122 (base 3) in base 16? 8804 548 (base 12) to base 8 1410 Convert -212 (base 15) to base 6. -2055 Convert -100110111011110 (base 2) to base 15. -5d8e Convert 211010 (base 4) to base 15. a82 Convert -682 (base 12) to base 3. -1022122 What is -559 (base 10) in base 16? -22f Convert 22595 (base 10) to base 2. 101100001000011 Convert -41224 (base 7) to base 5. -310223 What is -20623 (base 8) in base 6? -103443 1101011000 (base 3) to base 14 9c25 What is 100121212 (base 3) in base 14? 27b2 What is 17503 (base 9) in base 4? 2330220 What is -1121110 (base 3) in base 12? -819 What is -42105 (base 6) in base 7? -22331 Convert 7300 (base 9) to base 16. 14e2 What is 10310 (base 5) in base 14? 385 -65a4 (base 11) to base 3 -102221102 Convert -24013 (base 5) to base 10. -1758 -12021 (base 7) to base 12 -1966 Convert -a71 (base 14) to base 12. -1237 6472 (base 10) to base 15 1db7 Convert 297 (base 15) to base 16. 250 Convert 29001 (base 10) to base 11. 1a875 Convert -2301 (base 5) to base 6. -1302 What is 4a2 (base 12) in base 15? 318 -26a (base 14) to base 11 -402 What is 2102012 (base 3) in base 4? 123200 10002200 (base 3) to base 14 b75 466 (base 13) to base 11 631 Convert -1c86 (base 13) to base 5. -114320 302 (base 7) to base 16 95 Convert 122110 (base 3) to base 7. 1242 445 (base 12) to base 7 1556 What is -2202 (base 8) in base 2? -10010000010 What is c8dd (base 15) in base 3? 2011022101 Convert 312304 (base 6) to base 12. 12694 What is 104011 (base 5) in base 12? 2127 1599 (base 11) to base 9 2721 4a91 (base 11) to base 9 10081 What is 1013 (base 9) in base 11? 614 What is 18148 (base 12) in base 3? 1202200102 Convert 3453 (base 8) to base 10. 1835 233405 (base 8) to base 7 451063 Convert -34122 (base 5) to base 7. -10014 Convert 203520 (base 6) to base 4. 10000020 84b (base 16) to base 4 201023 Convert 100252 (base 6) to base 3. 101210212 Convert d1d0 (base 15) to base 9. 66676 What is -276 (base 16) in base 14? -330 Convert e1b (base 16) to base 8. 7033 Convert -1871a (base 12) to base 5. -2114330 What is 3a6 (base 14) in base 7? 2066 What is -515334 (base 6) in base 7? -231442 What is -57300 (base 8) in base 4? -11323000 What is 102101 (base 3) in base 15? 157 What is -221324 (base 5) in base 9? -11521 What is 15350 (base 12) in base 4? 13102230 -60a8 (base 13) to base 7 -53556 Convert 20230 (base 5) to base 14. 69d What is -40635 (base 10) in base 8? -117273 What is -4742 (base 9) in base 6? -24145 Convert 98ff (base 16) to base 15. b912 -60075 (base 8) to base 2 -110000000111101 -16663 (base 8) to base 13 -35cb Convert -10001011 (base 2) to base 5. -1024 Convert -513 (base 10) to base 6. -2213 What is -41313 (base 5) in base 8? -5224 Convert -21122020 (base 3) to base 12. -3280 -1223 (base 13) to base 5 -40224 Convert 3634 (base 9) to base 5. 41304 What is -2402 (base 5) in base 10? -352 Convert -143511 (base 6) to base 11. -a401 -49c (base 15) to base 7 -3024 What is -723b (base 13) in base 10? -15767 Convert 65646 (base 9) to base 8. 125023 Convert -181b (base 12) to base 3. -10222112 4863 (base 9) to base 5 103441 304c4 (base 13) to base 4 111013313 113 (base 10) to base 4 1301 What is 3a2 (base 11) in base 6? 2111 Convert -2312020 (base 4) to base 7. -45661 What is 111001110 (base 2) in base 11? 390 What is -21022 (base 3) in base 12? -145 Convert -75b (base 13) to base 11. -a45 What is -12121011 (base 3) in base 12? -2441 26d (base 15) to base 6 2321 Convert -3952 (base 14) to base 9. -14726 1321330 (base 4) to base 14 2bb6 Convert 1111011011 (base 2) to base 6. 4323 Convert 1486 (base 10) to base 2. 10111001110 125255 (base 7) to base 6 300342 -bb3 (base 12) to base 16 -6b7 Convert -133 (base 6) to base 5. -212 Convert 43cc (base 15) to base 12. 8393 What is -1078 (base 11) in base 10? -1416 Convert -1412301 (base 5) to base 2. -111000110010100 13233222 (base 4) to base 14 b7bc What is 22 (base 10) in base 3? 211 Convert 2ab (base 15) to base 4. 21203 Convert -11131033 (base 4) to base 11. -1587a Convert -1003 (base 9) to base 11. -606 What is -747 (base 14) in base 3? -1222011 What is -115 (base 11) in base 8? -211 -5136 (base 8) to base 14 -d78 -2311332 (base 4) to base 13 -53bb -1011022 (base 3) to base 15 -3b5 What is -8610 (base 10) in base 5? -233420 What is -11010100100100 (base 2) in base 3? -200122212 -33b (base 13) to base 2 -1000101101 -3228 (base 15) to base 3 -112120002 What is -529 (base 13) in base 3? -1012121 -10000110010001 (base 2) to base 6 -103441 311 (base 15) to base 2 1010110011 Convert 9a (base 15) to base 9. 171 Convert -2002020 (base 4) to base 5. -231303 What is -6866 (base 10) in base 13? -3182 What is 1e1 (base 15) in base 4? 12310 What is 2a6 (base 13) in base 5? 3344 Convert 765 (base 9) to base 11. 51a -8b69 (base 12) to base 2 -11110010000001 -122102 (base 4) to base 11 -129a Convert 838 (base 15) to base 10. 1853 -173 (base 10) to base 3 -20102 What is 260 (base 8) in base 15? bb Convert 10001101100010 (base 2) to base 10. 9058 Convert 20014 (base 8) to base 9. 12225 Convert 1400 (base 9) to base 7. 3033 What is -2533 (base 15) in base 14? -2c5d -33230 (base 5)
{ "pile_set_name": "DM Mathematics" }
= m**3 - 3*m**2 - 2*m - 1. Determine y(h). 7 Let q(j) = -3*j - 9. Let w be q(-3). Let z(n) = 4*n + 8. Let x(v) = v. Let g(p) = -3*x(p) + z(p). Determine g(w). 8 Let v(o) be the first derivative of -4/3*o**3 + 1/4*o**4 + 2 + 2*o - o**2. Suppose 3*r = 3*c - 9, 2*r + 3 = c + 2. What is v(r)? -10 Suppose -3*y + 12 = 5*j - 22, -y + 2*j = 7. Let c(w) = 3 - 1 - w + y. Give c(4). 1 Let d be ((-42)/147)/((-1)/7) + -3. Let r(w) be the first derivative of -3*w**3 - w**2/2 - w - 1. Determine r(d). -9 Suppose -4*k - i + 21 + 2 = 0, 5*i = 4*k - 5. Let w(f) = -f**3 + 4*f**2 + 5*f + 6. Give w(k). 6 Let f(l) = 3*l + 1. Let m(b) = b + 1. Let w(c) = f(c) - 4*m(c). What is w(-5)? 2 Let h(x) = -2*x + 20. Let t be h(13). Let a(n) = -n**2 - 3*n + 1. What is a(t)? -17 Let y(k) = -k - 5. Let s be (26/13)/(4/(-10)). Calculate y(s). 0 Let h(w) = w**2 + 4*w + 6. Let s(c) = 6*c**3 - 4*c**2 - 7*c. Let k(l) = 9*l**3 - 6*l**2 - 10*l. Let g(f) = 5*k(f) - 7*s(f). Let y be g(-1). Give h(y). 6 Let f(o) = 1 + 17*o - 16*o**2 - 6*o - 9*o. What is f(-1)? -17 Let h(q) = -q. Let a(z) = 6. Let k(f) = a(f) - 2*h(f). Let l = 3 + -8. Determine k(l). -4 Suppose 2*o = -2*o + 68. Let q = o - 14. Let x(b) = -b + 2. Let w(m) = -6*m + 12. Let v(y) = -6*w(y) + 34*x(y). What is v(q)? 2 Let k be 13 + -16 - (0 + 2 - -1). Let c(r) = -2*r - 10. Calculate c(k). 2 Let s(h) = -2*h - 1. Let i be s(2). Let a(u) be the third derivative of u**4/24 + 5*u**3/6 + 3*u**2. Give a(i). 0 Let x(i) = -4*i**2 - 4*i. Let g(w) = 5*w**2 + 3*w. Let t(u) = 2*g(u) + 3*x(u). Calculate t(-5). -20 Let h(j) = -j**2 - 2*j. Let v(u) = -4*u**2 - 2*u + 2. Let x be v(1). What is h(x)? -8 Let u(i) be the second derivative of -i**4/12 - i**3/6 - 7*i. Calculate u(1). -2 Let u(f) = -f**3 - f**2 + f - 2. Suppose 5*n + 4 = -1. Let a = n + 1. Suppose -m = 2 - a. Give u(m). 0 Let f(g) = -g**2 + 5*g - 5. Let j be (-18)/(-4) + (20/8)/(-5). What is f(j)? -1 Let v be (4/(-12))/((-2)/18). Suppose 5*t = -0*t + 15. Let o(d) = -2*d + 5*d - 3*d**2 - 4 + t + d**3. Give o(v). 8 Let p(d) be the second derivative of -d**5/20 + d**4/2 + 2*d**3/3 + 3*d**2/2 - 2*d. What is p(7)? -18 Let d(v) = -v**2 - 2*v. Let j(f) = -f**3 - 8*f**2 - f - 11. Let u be j(-8). Suppose 0 = 3*x + 5*n - 12, 14 = 2*x - x + 5*n. Let a = u - x. Give d(a). 0 Let l(m) = m**2. Let n be l(2). Let j be (-2)/n*(-1 + 1). Let t(v) = -v**3 - v - 8. Give t(j). -8 Let n(p) = p + 6. Let y(j) = -j**3 - j**2 + 12*j. Let f be y(3). What is n(f)? 6 Let t(g) = 25*g. Let h = 13 + -24. Let z(j) = -5*j. Let r(x) = h*z(x) - 2*t(x). Suppose -3*k - 25 = 4*d - 6, k - 3*d = 11. Calculate r(k). -5 Suppose -w = 2, -4*q + 2*w = -0*w + 28. Let l(c) = c + 12. What is l(q)? 4 Let h(z) = -2 - 5 + z**2 + 3 + 2*z. Let r(o) = -o**2 + 21*o - 23. Let g be r(20). What is h(g)? -1 Let l(s) be the second derivative of -s**7/2520 + s**6/360 + s**5/120 + s**4/3 + 2*s. Let j(d) be the third derivative of l(d). Calculate j(-1). -2 Let s(i) = 3*i + 2*i - i + 1. Let f(r) = -5*r - 23. Let n be f(-5). What is s(n)? 9 Suppose 0 = 10*v - 5*v + 5. Let c(f) = 15*f + 1. Give c(v). -14 Let k(u) = 13*u - 22. Let b(g) = 4*g - 7. Let o(q) = -7*b(q) + 2*k(q). What is o(4)? -3 Suppose -10 = -3*j + 2. Let g be 8 + -4 + (1 - -1). Let b(o) = o**2 - g + 4 - 4*o + 0*o + 0*o. Give b(j). -2 Let x(m) = -7*m - 5. Let v(o) = -3*o - 2. Let y(l) = 5*v(l) - 2*x(l). Suppose -5 = 12*d - 7*d. Let i(p) = 6*p + 5. Let k(q) = d*i(q) - 3*y(q). Calculate k(-5). 10 Suppose -2*f + 1 = -5. Suppose -5*i = -f*i - 4. Let q(x) = 1 - x**i + x + 3 + 3 - 3. Determine q(0). 4 Let a = -25 + 45. Let q = a - 18. Let m(g) = g**3 - 2*g**2 - 1. Give m(q). -1 Let n(o) = 5*o**2 + 9*o + 3. Let k(i) = -4*i**2 - 8*i - 3. Let j(f) = -6*k(f) - 5*n(f). Let u = 6 + 9. Suppose 5*a - 2*v + 0 = 15, u = 4*a - v. What is j(a)? -7 Let x(z) = 3*z**2 + 16*z - 3 + z**3 - 11*z - 7*z. Calculate x(-3). 3 Let f(h) = 24*h. Let j(d) = 2*d. Let q(u) = 2*f(u) - 22*j(u). Determine q(-2). -8 Suppose -4*j = -j - 6. Let x(d) = 3*d + 1 - j*d + 3*d - 2*d. Determine x(2). 5 Let u(y) be the third derivative of y**5/60 + y**4/24 - y**3/3 + 10*y**2. Determine u(-3). 4 Let h(p) be the second derivative of -p**4/12 - 5*p**3/6 + 4*p**2 + 14*p. What is h(-7)? -6 Let g be (-2)/(-8) - 54/(-8). Let d(u) = u**3 - 7*u**2 - u + 6. Calculate d(g). -1 Let a be 1 + -1 + 2 - -10. Let k(n) = 2*n + a*n**2 - n - 11*n**2. Let f be 1 + 0 + 0 + 1. Give k(f). 6 Let j(s) = s**3 + 11*s**2 - 2*s - 16. Let y be j(-11). Suppose 7*w = 6*w + y. Let n(z) = -5*z + 4. Let g(u) = u - 1. Let v(p) = -6*g(p) - n(p). Determine v(w). -4 Let u(v) = v**2 + 5*v. Suppose -3*p + 39 = 54. What is u(p)? 0 Let o(w) = w. Let b(q) = 9*q + 1. Let l(c) = -b(c) + 6*o(c). Let j be l(1). Let x(h) = h + 3. What is x(j)? -1 Suppose 3*a = a. Let p(g) be the first derivative of -2*g - 2 + g**2 - 1 + a*g. Determine p(4). 6 Suppose -s + 5*s = -m + 10, -4*m = 5*s - 7. Let u(q) = -q**s + 4*q**2 + 1 - 3*q**2 + q**2 + 3*q. What is u(3)? 1 Let w(n) = -3*n + 7*n**2 + 2*n**2 - 8*n**2 + n**2. Give w(2). 2 Suppose -3*b - b = -12, -5*u = -3*b - 41. Suppose -6*c = -c + u. Let a(w) = 2*w - 4*w + 0*w - 2 + 0*w. Calculate a(c). 2 Let y(r) = 7*r**3 + 8*r**2 + 5*r - 2. Let s(j) = -8*j**3 - 9*j**2 - 6*j + 3. Let v(w) = 6*s(w) + 7*y(w). Calculate v(-3). -2 Let i(c) = -c**3 - 4*c**2 + 3*c + 1. Suppose 0 = -5*n - 2*r - 15 - 4, -2*n - 13 = -r. Give i(n). 11 Let w(l) = l**2 + 15*l + 10. Let c be w(-14). Let n(m) = -6*m**2 + 5 + 11*m**3 - 2*m + m**2 - 12*m**3. Determine n(c). -3 Let x(k) be the third derivative of -k**6/120 + k**5/12 - 5*k**4/24 - 2*k**3/3 + 26*k**2. Give x(4). -8 Let l(q) = -q + 4. Let a = -59 - -110. Let t = a - 36. Suppose -s - t = 2*s. Calculate l(s). 9 Suppose -2*w + 7 = -r, 2*r = -0*r + 3*w - 12. Suppose 0*m = -m. Let f(k) = -2*k + 4*k + m*k. Give f(r). -6 Let i(y) be the first derivative of -1 + 0*y**4 + 3/20*y**5 + y**2 + 0*y - 1/6*y**3. Let s(m) be the second derivative of i(m). Calculate s(-1). 8 Let f = 0 - 6. Let z(u) = -2 - 6 + 13 + u. Give z(f). -1 Let h(n) = 3*n - 2. Let v(z) = 2*z + 6. Suppose 2*j - 4 = 6, -4*g + 3*j - 31 = 0. Let t be v(g). Calculate h(t). -8 Let n(d) = 5*d + 1. Let c(h) = -h**2 + 11*h - 9. Let a be c(10). Determine n(a). 6 Suppose 3 = -2*b - 3. Let i(p) = -2*p**2 - 3*p - 4. Calculate i(b). -13 Suppose -k - 3*k = 28. Let i(r) = 2*r + 8. Calculate i(k). -6 Let n(d) = -d**2 + 2*d. Let f(c) = 2*c - 8. Let b be f(6). What is n(b)? -8 Let u(h) = 3*h + 4. Let m(v) = -2*v**2 - 5*v + 1. Let y be m(-4). Let j be 12/5 + (-4)/10. Let o(i) = 15*i + 20. Let x(b) = j*o(b) + y*u(b). Calculate x(-3). 5 Let n(i) = i**2 - 3*i + 1. Suppose -5*q + 34 = 89. Let k = 15 + q. What is n(k)? 5 Let h(s) = s + 9. Let z(p) = p + 8. Let g(y) = -5*h(y) + 6*z(y). Let v be g(-9). Let m(q) = q + 7. What is m(v)? 1 Let w(u) = -u**2 - 2*u - 2. Suppose -2 = a - 3. Let r(z) = 4*z + 1. Let c be r(a). Let j = 2 - c. Determine w(j). -5 Let y(r) = 2*r - 31 + 27 + 0*r. Determine y(3). 2 Let u(w) be the first derivative of w**2 - w + 6. Let l be (4/(-10))/((-2)/10). Calculate u(l). 3 Suppose -3*a - 4 = -x, -3*x + 2*a - a + 4 = 0. Let i be -1 + -3 - (x - 1). Let k(f) = 6*f**2 + 2*f - 5 - f - f**2 + f**3. Calculate k(i). 7 Let s(z) = z**2 + 8*z + 9. Let h be s(-6). Let x(f) be the first derivative of 2*f**3/3 + 2*f**2 + 2*f + 8. What is x(h)? 8 Let c(y) = -4 + 3*y + 4*y + 3 - 5*y. Let f be c(3). Let r(n) = n - 4. What is r(f)? 1 Suppose 4*d = -3*z + 2*z + 18, -2*d = -8. Let w(l) = -z + 8*l - 3*l + 0. What is w(2)? 8 Let h(a) = 2*a + 4. Let f = -1 - -1. Suppose 3*z - 3*o + 3 = f, 3*o - 25 = -5*z - 2*o. Suppose -3*c + 32 = -4*p + z*c, 0 = 4*p + 3*c. Determine h(p). -2 Let l(x) = 7*x**3 + 6*x**2 + 4*x + 8. Let r(z) = z**3 + z + 1. Let u(y) = l(y) - 6*r(y). Determine u(-6). 14 Let c(d) = -7*d**3 - 6*d**2 + 7*d. Let u(y) = 6*y**3 + 5*y**2 - 6*y + 1. Let b(n) = -5*c(n) - 6*u(n). Calculate b(0). -6 Let n(f) be the second derivative of f**3/2 + 3*f**2/2 + 19*f. Calculate n(-5). -12 Let w(m) = -6*m + 1. Let a(c) be the second derivative of 4*c**3 - 5*c**2/2 - c. Let g(k) = -2*a(k) - 9*w(k). Give g(1). 7 Let w(u) = -u**2 - 4*u + 3. Suppose 5*h + 57 = -13. Let c = 10 + h. Calculate w(c). 3 Suppose 8*i = -26 + 2. Let b(g) = -g**2 - 2*g - 3. What is b(i)? -6 Let y = -7 + 9. Let d(j) = -40 + 3
{ "pile_set_name": "DM Mathematics" }
h is the biggest value? (a) -3/2 (b) -5 (c) 0.6 (d) -2 (e) -2/23 c Which is the second biggest value? (a) -3/5 (b) 0.3 (c) 0.01 (d) -12 (e) -1/3 c What is the smallest value in -4/5, -1/3, -156.94? -156.94 Which is the biggest value? (a) 1 (b) -1/11 (c) -4/93 (d) -0.14 (e) 1/8 a Which is the fourth biggest value? (a) 1/11 (b) 233 (c) -4 (d) -5 d What is the second biggest value in 60/11, 149, -2/7? 60/11 Which is the fourth biggest value? (a) 0.5 (b) -4 (c) -2/8781 (d) -2.1 b What is the fifth smallest value in -3246, 7, -3, -2/21, 0.3? 7 Which is the sixth biggest value? (a) 2/3 (b) -3/5 (c) -33 (d) -51 (e) -2/9 (f) -5 d What is the third biggest value in -1, -5167, -7/2? -5167 Which is the second biggest value? (a) -7 (b) 20 (c) 10/33 c Which is the smallest value? (a) -319.22 (b) -0.2 (c) 3/11 a Which is the biggest value? (a) -4.5 (b) 2/5 (c) 0.5 c What is the second smallest value in -4/13, 0.5, 0.07, 0.1, -2/7, -3? -4/13 Which is the fourth smallest value? (a) -202.7 (b) -5 (c) -5/4 (d) 2 (e) -0.69 e Which is the second biggest value? (a) -139679 (b) 4 (c) 0.4 c What is the smallest value in -0.2, 9, 194, -3, 4? -3 Which is the third biggest value? (a) 0 (b) 4 (c) 40.313 (d) -3 (e) -0.2 (f) 2 f What is the fifth smallest value in 5, -0.06, 20.9, 1, -4/3? 20.9 Which is the fourth biggest value? (a) -0.028 (b) -0.016 (c) -36 (d) 4/3 (e) 3 a What is the fourth biggest value in 19, -2/17, -1/5, -44, 7? -1/5 Which is the smallest value? (a) 3 (b) 1/3 (c) 229 (d) 2/15 (e) -0.4 (f) -0.02 e Which is the fifth smallest value? (a) -8.7 (b) 0.1 (c) 0.6 (d) 4 (e) -4 d Which is the second smallest value? (a) -5/6 (b) 25/79 (c) 2 b What is the fourth smallest value in 2/5, 0, 24, -5/11, -1/4? 2/5 What is the second smallest value in 0, -0.2, 815/398? 0 Which is the fifth biggest value? (a) -0.1 (b) -139 (c) -5 (d) 3 (e) -96/7 b What is the second smallest value in 28, 629, -9? 28 What is the biggest value in 2, 220, -3? 220 What is the smallest value in 1, 0.226, -2/31? -2/31 What is the second biggest value in 1/27, 0.2, -22.8, -5, 0.3? 0.2 What is the third biggest value in -1, 13, -5, 36/5, -2/11, 0.3? 0.3 Which is the third smallest value? (a) -5 (b) 72 (c) -1980 b What is the second smallest value in -2, 5/14, 1693? 5/14 Which is the third biggest value? (a) 0.4 (b) -1239.4 (c) 5/2 b Which is the fifth biggest value? (a) 0.36 (b) 0.08 (c) -5 (d) 0.4 (e) 0 c What is the second biggest value in -3, -1680, -4? -4 What is the fifth smallest value in 0.5, 4, -15, 2/3, -0.023? 4 What is the smallest value in -2.5, -0.5, 0.5? -2.5 Which is the third smallest value? (a) 0.42 (b) 30/17 (c) -2 (d) -8 a What is the biggest value in -2.99, 260, 2? 260 Which is the second biggest value? (a) 73 (b) -6.8 (c) -1/7 c What is the third biggest value in -0.2, 34, 26.3, 1/4? 1/4 Which is the biggest value? (a) 6.9 (b) 0.3 (c) -2/3 (d) 1 a What is the biggest value in 85, 0.2, 4, -2, 0.4? 85 What is the smallest value in 3, -11, -1.1, -10? -11 Which is the second biggest value? (a) 0.5 (b) 2 (c) -15 (d) 0.4 (e) 7 (f) 0.9 b What is the smallest value in -5, -4/3, -2/61, 12, 0.3? -5 What is the fifth smallest value in -2/9, -2/3, -61, 1, 3/2, 9? 3/2 Which is the second smallest value? (a) 90 (b) 0 (c) -0.3 (d) -2/17 (e) -2/11 e What is the biggest value in 693, 0.5, 0.1? 693 What is the biggest value in 0.03, 20, 17, 0.4, -1/3, 2? 20 Which is the third smallest value? (a) -12 (b) -0.4 (c) -508 (d) -1 d What is the fourth smallest value in -8, 3, -2/13, 3/5, -5? 3/5 Which is the third biggest value? (a) 0 (b) 1.443 (c) 1 (d) -2/7 (e) 3 c What is the second biggest value in -926, -134, 0.2? -134 What is the third biggest value in -31, -4, 6, 5, 0.5, 0.7? 0.7 What is the third biggest value in -1356, -2/3, 197? -1356 Which is the smallest value? (a) -6 (b) 1/5 (c) -3 (d) -2/11 (e) -1/2 a What is the fourth biggest value in 0.3, -0.4, 75/2, 0.5, 8? 0.3 What is the fourth smallest value in 5/3, -1, -5, 38, 4/23? 5/3 Which is the smallest value? (a) 0 (b) 43/2 (c) 3/4 (d) -5 (e) 5 d What is the biggest value in 0.5, -7/5, 2/83? 0.5 Which is the smallest value? (a) 0.8 (b) -2 (c) 0.227 b Which is the fourth smallest value? (a) 3 (b) -1/2 (c) -46 (d) 4 (e) -60 a Which is the third biggest value? (a) -2/11 (b) 0.2 (c) 260 (d) 46 (e) 1 e What is the fifth biggest value in 1, 38.02, 2, 0.4, 3? 0.4 What is the fourth smallest value in -4/9, -1/25, -2/21, -4? -1/25 What is the third smallest value in -5, 171, 311? 311 What is the biggest value in 165/4, -8, -4? 165/4 Which is the fourth smallest value? (a) -0.2 (b) 5 (c) 11.6 (d) 1 c Which is the third smallest value? (a) 29 (b) 0.2 (c) -61 (d) -1 b Which is the third smallest value? (a) 2 (b) 0.3 (c) 0.11 (d) -38 (e) 6 b What is the biggest value in 16/9, -0.9, 0.319? 16/9 What is the third biggest value in 2/7, -1/4, 0, 52.48? 0 What is the smallest value in 0.447, 8, -2? -2 What is the third biggest value in 2/7, 2/1371, -6, -0.3? -0.3 Which is the second smallest value? (a) 1598 (b) 5 (c) 1/5 b Which is the fifth biggest value? (a) -29 (b) 0.1 (c) -1/16 (d) 222 (e) 0.5 a Which is the fourth biggest value? (a) 2/75 (b) 0.1 (c) 0.4 (d) -0.07 (e) -0.13 d Which is the sixth smallest value? (a) -1/16 (b) 3/7 (c) 0 (d) -8.5 (e) 3/8 (f) 8 f What is the third smallest value in -4, -0.063, 6447? 6447 What is the second smallest value in -6236, 47, 1? 1 Which is the third biggest value? (a) -90 (b) 0.03 (c) 10.8 (d) 0.5 b Which is the second biggest value? (a) 2/7 (b) -4.87 (c) -2 (d) 72 a What is the biggest value in 0.05, 2/13, -0.55, -0.3, 1/4, -2? 1/4 What is the second smallest value in 0.1, 2/205, -5, -4/23, 5? -4/23 Which is the third smallest value? (a) -0.5 (b) -62 (c) -5 a Which is the fifth smallest value? (a) 21.8 (b) 3/7 (c) -2/5 (d) 4/11 (e) 1/4 a What is the smallest value in 14, -4/7, 148? -4/7 Which is the smallest value? (a) 0.3 (b) -2/7 (c) 63/4 (d) -5 d What is the fourth smallest value in 0.2, 0.1, 5646, 6? 5646 What is the second biggest value in -2, -264/5, 7? -2 What is the second biggest value in 2, 2/3, -34, 3, 0.3, -7? 2 Which is the smallest value? (a) 4 (b) 131669 (c) 0.2 c Which is the second biggest value? (a) 15 (b) 3/74 (c) -4 (d) -1/6 b What is the biggest value in 11/13, 0.5, -1/3, -0.52? 11/13 What is the biggest value in 3/5, -0.5, -1/9, -10/41, 1/4? 3/5 Which is the second biggest value? (a) -2/5 (b) 7 (c) -0.3 (d) 1 (e) 3 e Which is the second biggest value? (a) -3/7 (b) -0.2 (c) 0.5 (d) 0.1 (e) 132 (f) -0.013 c Which is the third smallest value? (a) 0.01 (b) -73 (c) 90 c Which is the fourth biggest value? (a) -7 (b) -2.1 (c) 1 (d) 2/7 (e) 2/17 b Which is the smallest value? (a) 2/11 (b) 0.169 (c) 5 (d) 2 (e) -4 e Which is the smallest value? (a) 0.16 (b) 0.2 (c) 328 a What is the third smallest value in 1/30, 0.1, -4, 1, 0, -117? 0 What is the fourth smallest value in 1175.9, -1, 2/3, 0? 1175.9 What is the second smallest value in 2, -2/9, 879.1? 2 What is the smallest value in 0.1, -182, 4, 4/3, 0.2? -182 What is the third smallest value in 1/9, 22, 5, 0, 34? 5 Which is the fourth smallest value? (a) 0.3 (b) 2/3 (c) -1 (d) 5/264 (e) -9 a Which is the second biggest value? (a) -0.3 (b) 0.03 (c) -0.114674 (d) -5 c Which is the third smallest value? (a) 2.78 (b) -54 (c) 3/5 (d) 1/5 c What is the second smallest value in -2/39, 73, 2/7, 0.1, -2, -5? -2 What is the smallest value in -2/3, 0.9, -43, 11, 16? -43 What is the biggest value in 14, 1/4, -2/21, 4, -2/3, 61? 61 Which is the third biggest value? (a) -0.31 (b) -4/7 (c) -5 (d) 0.1 b What is the fifth biggest value in 1, -6/11, 0.044, -1/2, 6, -7? -6/11 What is the third biggest value in 0.05654, -5, -3.3? -5 What is the third smallest value in 2383, 2, -5? 2383 What is the third biggest value in 169.3, 4/5, -3, -2, -2/7, -1/3? -2/7 Which is the second biggest value? (a) -1 (b) 3 (c) -4.5 (d) -0.161 d Which is the second biggest value? (a) -101 (b) 2 (c) 2/59 (d) 7/3 (e) -3 b Which is the fifth
{ "pile_set_name": "DM Mathematics" }
ers picked without replacement from oojjjoojlll. Give prob of picking 3 j and 1 o. 8/165 Three letters picked without replacement from jumruuutju. Give prob of picking 1 m, 1 j, and 1 r. 1/60 What is prob of picking 1 r and 2 m when three letters picked without replacement from qurmttuuuumuurmtuu? 1/136 Four letters picked without replacement from {w: 2, b: 7, r: 3}. Give prob of picking 2 w and 2 b. 7/165 What is prob of picking 2 a and 1 u when three letters picked without replacement from esakayysu? 1/84 Four letters picked without replacement from irivreyiyeyewrrri. What is prob of picking 1 i and 3 y? 1/595 Two letters picked without replacement from ydppjtjypp. What is prob of picking 1 d and 1 y? 2/45 Three letters picked without replacement from jkqqq. What is prob of picking 1 j and 2 q? 3/10 Three letters picked without replacement from {j: 7, q: 3, s: 4, y: 5}. Give prob of picking 1 j and 2 y. 70/969 What is prob of picking 2 r when two letters picked without replacement from kjjrrkkrkrkkrjmk? 1/12 Two letters picked without replacement from {m: 3, f: 4}. What is prob of picking 2 m? 1/7 Three letters picked without replacement from zzzmwmwmxdxxxm. Give prob of picking 1 m, 1 x, and 1 d. 4/91 What is prob of picking 1 y and 1 c when two letters picked without replacement from cmcmvmggvcbymc? 4/91 Three letters picked without replacement from vvvvpfvvvppg. What is prob of picking 3 p? 1/220 Four letters picked without replacement from fffff. What is prob of picking 4 f? 1 Calculate prob of picking 1 x and 1 i when two letters picked without replacement from {i: 4, x: 6, t: 4, u: 4}. 8/51 Three letters picked without replacement from {z: 1, u: 8, q: 4}. What is prob of picking 1 q, 1 u, and 1 z? 16/143 What is prob of picking 1 m and 1 q when two letters picked without replacement from {r: 9, m: 1, t: 3, w: 3, f: 1, q: 2}? 2/171 Three letters picked without replacement from ccccpcecepccecpebcbp. What is prob of picking 1 e and 2 c? 3/19 Calculate prob of picking 1 a and 1 d when two letters picked without replacement from daiaaadq. 2/7 What is prob of picking 1 u and 1 f when two letters picked without replacement from {q: 1, f: 10, l: 1, i: 6, u: 2}? 2/19 Four letters picked without replacement from {o: 1, k: 3, s: 1}. Give prob of picking 1 o and 3 k. 1/5 Two letters picked without replacement from ktktk. What is prob of picking 2 t? 1/10 What is prob of picking 1 i and 1 w when two letters picked without replacement from {f: 2, e: 1, w: 3, u: 1, i: 2, r: 3}? 1/11 What is prob of picking 2 g and 2 y when four letters picked without replacement from gygyyggygy? 10/21 Two letters picked without replacement from {c: 2, w: 2, g: 2, i: 1, o: 4, e: 1}. What is prob of picking 1 g and 1 e? 1/33 Three letters picked without replacement from {m: 2, v: 1, o: 1}. What is prob of picking 1 o and 2 m? 1/4 Calculate prob of picking 3 m when three letters picked without replacement from mnsnfeffmm. 1/120 Two letters picked without replacement from kkpaakaakaaaa. Give prob of picking 1 k and 1 a. 16/39 Two letters picked without replacement from mmkk. What is prob of picking 2 m? 1/6 Calculate prob of picking 3 r when three letters picked without replacement from yrrxynrannkrnrn. 2/91 Two letters picked without replacement from {u: 1, d: 1, n: 1, r: 1, j: 1}. Give prob of picking 1 r and 1 j. 1/10 Three letters picked without replacement from {x: 2, p: 1, e: 1, d: 12, y: 3, u: 1}. What is prob of picking 1 e and 2 d? 11/190 Calculate prob of picking 1 x and 1 h when two letters picked without replacement from {h: 6, b: 1, x: 1, o: 4, w: 3}. 2/35 What is prob of picking 1 c and 1 k when two letters picked without replacement from {k: 3, o: 7, v: 3, c: 7}? 21/190 Two letters picked without replacement from ovkvk. What is prob of picking 1 k and 1 o? 1/5 What is prob of picking 1 m, 1 t, and 2 q when four letters picked without replacement from {m: 4, t: 1, u: 2, q: 9}? 36/455 Three letters picked without replacement from {b: 2, c: 1, f: 2, s: 1, x: 1}. What is prob of picking 1 f and 2 b? 2/35 Three letters picked without replacement from {x: 6, n: 2}. What is prob of picking 2 n and 1 x? 3/28 Four letters picked without replacement from hvjhvgihhvhhl. What is prob of picking 1 h, 1 j, 1 v, and 1 l? 18/715 Four letters picked without replacement from wwwwwwwwww. Give prob of picking 4 w. 1 Two letters picked without replacement from gngggungggnpngp. What is prob of picking 1 u and 1 g? 8/105 Calculate prob of picking 1 u and 1 h when two letters picked without replacement from uuutfhf. 1/7 Calculate prob of picking 2 n when two letters picked without replacement from wwwmnnhlnmeh. 1/22 Calculate prob of picking 3 q and 1 r when four letters picked without replacement from {q: 3, d: 11, r: 1}. 1/1365 Calculate prob of picking 1 q and 1 k when two letters picked without replacement from {z: 2, d: 1, u: 1, q: 2, k: 1, p: 2}. 1/18 What is prob of picking 1 m and 1 q when two letters picked without replacement from {q: 1, e: 4, m: 1, y: 9}? 1/105 Two letters picked without replacement from smlsmmsmpppslsvm. Give prob of picking 2 l. 1/120 Calculate prob of picking 1 u and 1 w when two letters picked without replacement from {w: 12, u: 7}. 28/57 Calculate prob of picking 1 f and 1 h when two letters picked without replacement from {n: 1, f: 1, w: 1, h: 2}. 1/5 Calculate prob of picking 1 s and 2 z when three letters picked without replacement from zzzhsszhzzsshshzgszu. 14/95 Four letters picked without replacement from xaxaaxxaaaxaxx. Give prob of picking 4 x. 5/143 Calculate prob of picking 3 n and 1 l when four letters picked without replacement from {r: 1, l: 2, n: 3, a: 3, q: 1, g: 1}. 1/165 What is prob of picking 1 j, 1 e, and 1 f when three letters picked without replacement from fnfenfenejnfn? 6/143 What is prob of picking 1 c and 1 x when two letters picked without replacement from {c: 5, a: 1, g: 6, x: 3, i: 3}? 5/51 Two letters picked without replacement from {s: 2, e: 1}. Give prob of picking 2 e. 0 Four letters picked without replacement from bvbvqrqqqvkl. Give prob of picking 1 v, 1 l, and 2 b. 1/165 Calculate prob of picking 2 i when two letters picked without replacement from miiiiimiimiiiiiiii. 35/51 Two letters picked without replacement from vvvvvsvvsv. What is prob of picking 1 v and 1 s? 16/45 Calculate prob of picking 1 x, 1 y, and 1 m when three letters picked without replacement from hxlhmhhyihyyh. 3/286 Calculate prob of picking 1 w and 1 e when two letters picked without replacement from whwwwwhewweodpwwwwe. 11/57 What is prob of picking 1 u, 1 x, and 2 z when four letters picked without replacement from {u: 6, x: 10, z: 4}? 24/323 Three letters picked without replacement from svqcdvv. Give prob of picking 1 d, 1 v, and 1 s. 3/35 What is prob of picking 1 g, 1 f, and 2 d when four letters picked without replacement from yfgfdyfyddo? 3/110 Three letters picked without replacement from jsssjsjjnssjs. What is prob of picking 3 n? 0 Four letters picked without replacement from {t: 1, u: 1, r: 6, q: 8, w: 4}. What is prob of picking 1 q and 3 w? 32/4845 Calculate prob of picking 3 a and 1 o when four letters picked without replacement from {o: 14, a: 5}. 35/969 Three letters picked without replacement from {s: 2, b: 3, f: 2, z: 2, c: 2, r: 1}. Give prob of picking 2 b and 1 z. 3/110 Two letters picked without replacement from qoqgyxoe. What is prob of picking 1 x and 1 o? 1/14 What is prob of picking 1 x and 1 e when two letters picked without replacement from eccnxxqceecmc? 1/13 Two letters picked without replacement from {x: 2, m: 3, w: 6, h: 1}. Give prob of picking 1 w and 1 m. 3/11 What is prob of picking 1 e and 1 g when two letters picked without replacement from xpppeeexpueegepueeu? 8/171 Calculate prob of picking 1 q and 2 l when three letters picked without replacement from {l: 2, q: 5}. 1/7 What is prob of picking 3 n when three letters picked without replacement from trnneotnoeoooeororo? 1/969 What is prob of picking 1 n and 1 m when two letters picked without replacement from unmummmmnun? 3/11 Two letters picked without replacement from rquyannrq. Give prob of picking 1 n and 1 y. 1/18 Calculate prob of picking 1 s a
{ "pile_set_name": "DM Mathematics" }
1099/2735 - 1/547. Solve b*o**5 - 4/5*o**4 + 2/5*o**3 + 0 + 0*o + 0*o**2 = 0 for o. 0, 1 Let u(g) be the first derivative of -g**4/6 - 4*g**3/9 - 10. What is b in u(b) = 0? -2, 0 Find n such that 0 - 1/10*n**2 - 1/10*n**5 + 1/10*n**4 + 3/10*n**3 - 1/5*n = 0. -1, 0, 1, 2 Let l(j) = j**2 - 3*j - 7. Let a be l(5). Determine x, given that -x**2 + 1/3*x**4 + 2/3 - 1/3*x + 1/3*x**a = 0. -2, -1, 1 Let z be ((-396)/(-96))/(3/4*1). Let -1 + 19/2*r**4 - 1/2*r**3 + z*r - 5*r**5 - 17/2*r**2 = 0. What is r? -1, 2/5, 1/2, 1 Factor 2/15*c**2 - 8/5*c + 24/5. 2*(c - 6)**2/15 Let a be (-266)/11 - (-10)/55. Let g be ((-4)/3)/(8/a). Determine t so that -3*t**4 + 2*t**5 - g*t**5 + 0*t**4 + t**4 = 0. -1, 0 Let m(d) be the first derivative of -d**4/4 + d**2/2 - d + 2. Let y be m(-2). Determine n, given that y - 5 + 2*n + 2*n**2 = 0. -1, 0 Let i be (-2)/(-5) - 16/(-10). Suppose 3*r + 2*r + 4*q - 36 = 0, -28 = -5*r - 2*q. Factor -i*c**2 - r*c + 5*c**2 - c**2. 2*c*(c - 2) Let t(z) be the first derivative of z**4/14 + 10*z**3/21 + 8*z**2/7 + 8*z/7 + 2. Factor t(a). 2*(a + 1)*(a + 2)**2/7 Let j(g) be the third derivative of -g**5/15 - g**3 - 4*g**2. Let d(b) = -4*b**2 - b - 7. Let r be 2/8 + (-38)/(-8). Let u(x) = r*d(x) - 6*j(x). Factor u(p). (p - 1)*(4*p - 1) Suppose 0 = -5*p + 5 - 0. Let a(u) = 2*u**5 + 6*u**4 + 2*u**3 - 6*u**2 - 8*u - 2. Let x(h) = -h**3 - h**2 - h. Let s(l) = p*a(l) - 2*x(l). Solve s(q) = 0. -1, 1 Suppose 0 = 4*j + j + 10. Let n be j + (1 - 0)*5. Let t**2 - 5*t + t + n*t = 0. What is t? 0, 1 Suppose 2*l - 1 = -1. Factor -2/3*v + 1/3*v**2 + l. v*(v - 2)/3 Let h(u) be the first derivative of -1/3*u**2 - 1/9*u**3 + 1/3*u + 1/6*u**4 + 2. Determine k, given that h(k) = 0. -1, 1/2, 1 Factor -32/11*d - 2/11*d**5 + 50/11*d**2 + 14/11*d**4 - 38/11*d**3 + 8/11. -2*(d - 2)**2*(d - 1)**3/11 Let d(b) be the third derivative of -7*b**5/20 - 23*b**4/8 - 3*b**3 - 7*b**2. Factor d(t). -3*(t + 3)*(7*t + 2) Find k, given that -2*k**3 + 0*k**5 + k**5 + 0*k**4 + 2*k**2 - k**4 - 1 + k = 0. -1, 1 Let j(i) be the third derivative of -i**8/20160 + i**7/5040 + i**5/30 - 2*i**2. Let b(v) be the third derivative of j(v). Find r such that b(r) = 0. 0, 1 Suppose 3*h - 5 = -4*l + 2*h, -4 = l + 2*h. Let y(w) be the first derivative of l*w**3 - 1/2*w**4 - 3 - 3*w**2 + 2*w. Let y(s) = 0. What is s? 1 Determine x so that 0*x + 3/7*x**2 - 3/7 = 0. -1, 1 Let i(a) = a**3 + 4*a**2 + 3*a. Let t be i(-3). Let q(k) be the second derivative of t + 0*k**4 + 4/9*k**3 + 0*k**2 - 1/10*k**5 - 1/45*k**6 + 3*k. Factor q(v). -2*v*(v - 1)*(v + 2)**2/3 Let q(y) be the first derivative of -1 + 1/2*y**2 + 1/5*y**5 - 1/4*y**4 - 1/3*y**3 + 0*y. Factor q(u). u*(u - 1)**2*(u + 1) Let j(q) be the first derivative of 5*q**6/18 - 4*q**5/3 + 25*q**4/12 - 10*q**3/9 - 62. Factor j(w). 5*w**2*(w - 2)*(w - 1)**2/3 Let w be (1/(-3))/(3/(-9)). Let b(p) be the first derivative of 1/12*p**6 - 1/4*p**4 + 1/4*p**2 + 1/10*p**5 + w + 1/2*p - 1/3*p**3. Factor b(g). (g - 1)**2*(g + 1)**3/2 Suppose -11 = -2*l - 7. Let z(w) = -3*w**3 - 3*w**2 + 2. Let u(x) = -3*x**3 - 3*x**2 + 3. Let t(h) = l*u(h) - 3*z(h). Factor t(k). 3*k**2*(k + 1) Let -1/2*j**2 - 1/2 + j = 0. What is j? 1 Determine z, given that 0 + 4/7*z + 0*z**3 - 4/7*z**5 - 8/7*z**4 + 8/7*z**2 = 0. -1, 0, 1 Let x(z) = z**3 + z - 2. Let t(b) = -2*b**3 + b**2 - b + 2. Let k(r) = -4*t(r) - 6*x(r). Suppose k(w) = 0. What is w? -1, 1, 2 Let n(p) = 2*p**2 - 7*p + 4. Let z be n(4). Let a = 12 - z. Factor 4 + 6*w**3 + 4 + 11*w**3 + 34*w**2 + 28*w + 3*w**a. (w + 1)*(w + 2)**2*(3*w + 2) Let h(x) = -x**2 - 8*x + 8. Let m be h(-6). Suppose -6*q = -q - m. Solve 2 + 2*o - 4*o**2 + 6*o**q - 4*o**4 - 2*o = 0. -1, 1 Determine a, given that 9*a**3 - 3*a**2 + 13*a**4 - 9*a**3 - 10*a**4 = 0. -1, 0, 1 Suppose -2 = -6*m + 10. Determine g, given that -2*g**m - 5/2*g - 1/2*g**3 - 1 = 0. -2, -1 Factor -5*f**3 - 13 - 2 - 30*f**2 - 15 - 55*f. -5*(f + 1)*(f + 2)*(f + 3) Suppose 9*r = -0*r + 54. Let l(s) be the second derivative of 0*s**2 + 0 - 13/90*s**r - 3/20*s**5 + 1/9*s**3 + 1/36*s**4 - 3*s - 5/126*s**7. Solve l(t) = 0. -1, 0, 2/5 Let m(j) be the first derivative of -8*j**4 + 0*j**2 - 4/3*j**3 - 6 + 27/2*j**6 + 0*j - 9*j**5. Solve m(t) = 0 for t. -2/9, 0, 1 Let l(n) = -n**4 - 16*n**3 + 6*n**2 + 6*n + 6. Let k(i) = -i**4 - i**3 + i**2 + i + 1. Let r(a) = -6*k(a) + l(a). Solve r(q) = 0 for q. 0, 2 Let g(k) = -3*k**5 - 6*k**4 + 6*k**2 + 3*k - 4. Let x(s) = -24*s**5 - 48*s**4 + 48*s**2 + 24*s - 33. Let h(f) = -33*g(f) + 4*x(f). Factor h(v). 3*v*(v - 1)*(v + 1)**3 Let p(c) be the first derivative of 6*c**3 + 27*c**2 + 1 + 54*c + 1/2*c**4. Let p(n) = 0. Calculate n. -3 Let 4*b**2 - 27*b + 25*b - 4*b**4 + 2*b**5 + 0*b**5 = 0. Calculate b. -1, 0, 1 Let u be (-12)/4*6/(-27). Let k be (-35)/(-14) + 2/(-4). Find a, given that 2*a - 4/3 - u*a**k = 0. 1, 2 Let a(v) be the first derivative of v**3/12 + v**2/8 - v/2 + 3. Let a(s) = 0. What is s? -2, 1 Let s(a) be the first derivative of -1/3*a**6 + 3/5*a**5 + 0*a + 1/2*a**2 + 1/4*a**4 + 4 - a**3. What is t in s(t) = 0? -1, 0, 1/2, 1 Let j(m) be the third derivative of -m**5/60 - 4*m**2. Let z(s) = -s. Let v(y) = j(y) - z(y). Find l such that v(l) = 0. 0, 1 Let m be (-204)/(-140) - (-3)/(-5). Solve -m*d + 2*d**3 - 6/7*d**2 + 4/7 - 6/7*d**4 = 0 for d. -2/3, 1 Let s(u) be the second derivative of u**4/4 + 7*u**3 + 147*u**2/2 + 11*u. Factor s(d). 3*(d + 7)**2 Let l(r) = -r. Let g(u) = 3*u. Let t(i) = g(i) + 5*l(i). Let d be t(-2). What is x in -2*x**4 - d*x - 5*x**3 + 3*x**3 + 2 + 6*x**3 = 0? -1, 1 Let c(z) be the second derivative of -9/40*z**5 - 13/12*z**3 + 1/2*z**2 - 3*z + 5/6*z**4 + 0. Factor c(q). -(q - 1)**2*(9*q - 2)/2 Let b(c) be the second derivative of -2*c**6/15 - c**5/5 + c**4/3 + 2*c**3/3 - 10*c. Solve b(f) = 0. -1, 0, 1 Determine z, given that 10*z + z**3 + z - 4*z**2 - 7*z = 0. 0, 2 Let i(g) = 14*g**2 - 20*g + 8. Let w(q) = -2*q**2 + 2*q + 13. Let v(u) = u**2 - u - 6. Let d(z) = 13*v(z) + 6*w(z). Let b(s) = -12*d(s) + i(s). Factor b(x). 2*(x - 2)**2 Suppose -3 = 2*l - 9. Factor 2*d**4 - 5*d + 4*d + 2*d - 2 + l*d - 4*d**3. 2*(d - 1)**3*(d + 1) Let i = 126 + -503/4. Suppose -i*g**5 - 1/2 + g**2 - 1/2*g**4 + 1/2*g**3 - 1/4*g = 0. Calculate g. -2, -1, 1 Suppose 4 = 2*b - 5*r + 3*r, 20 = b + 5*r. Determine f so that 4*f - 7*f**4 + f**b - 3*f**5 - 2*f**3 + 0*f + 6*f**2 + f**4 = 0. -2, -1, 0, 1 Let p(y) be the first derivative of 1/5*y**4 + 2/15*y**3 + 0*y**2 - 2 + 0*y + 2/25*y**5. Factor p(a). 2*a**2*(a + 1)**2/5 Let g be 7/21 - 1/3. Let y(a) be the first derivative of 2 + g*a + 1/3*a**2 - 1/9*a**3. Suppose y(q) = 0. What is q? 0, 2 Let z(i) be the third derivative of -i**7/280 + i**6/240 + i**5/60 - i**4/48 - i**3/24 - 36*i**2. Solve z(f) = 0 for f. -1, -1/3, 1 Let o = 8 - 11. Let t = -1 - o. Factor t*x**3 + 4*x**3 - 28 + 3*x**4 + 3*x**2 + 28. 3*x**2*(x + 1)**2 Let r = -8 - -20. Suppose r = v + 3*v. Suppose 3*t**3 - 22*t**2 + 10*t + 8*t**3 + 4 - 3*t**v = 0. Calculate t. -1/4, 1, 2 Let y(o) be the first derivative of 8*o**5/5 + 11*o**4/2 + 10*o**3/3 - 2*o**2 - 1. Suppose y(r) = 0. Calculate r. -2, -1, 0, 1/4 Let q = 8 - 4. Let l(u) = 2*u - 6. Let z be l(q). Determine w so that 3*w**z - 5*w**2 + w + w**2 - w**3 + 1 = 0. -1, 1 Factor 5/2*t + 3/4*t**2 + 3/4. (t + 3)*(3*t + 1)/4 Let u(y) be the third derivative of -1/60*y**6 - 1/3*y**3 + 0 + 0*y + 1/12*y**4 + 1/30*y**5 - 3*y**2. Factor u(i). -2*(i - 1)**2*(i + 1) Let g(y) be the third derivative of y**8/560 - y**7/420 + y**6/1080 - y**3/2 + 7*y**2. Let f(a) be the first derivative of g(a). Factor f(r). r**2*(3*r - 1)**2/3 Let x(d) be the third derivative of -d**11/213840 - d**10/75600 - d**9/136080 - d**5/15 + 2*d**2. Let s(o) be the third derivative of x(o). Factor s(u). -2*u**3*(u + 1)*(7*u + 2)/9 Suppose 0 = 4*w - 10*w + 12. Suppose 2*q + 4/9 + 14/9*q**w = 0. What is q? -1, -2/7 Find n such that -12/7*n**4 - 24/7*n + 12/7 - 57/7*n**3 - 81/7*n**2 = 0. -2, -1, 1/4 Let x(k) be the first derivative of -3*k**5/5 + k**3 - 5. Factor x(n). -3*n**2*(n - 1)*(n + 1) Let q(h) be the third derivative of -h**6/180 - h**5/36 - h**4/18 - h**3/18 + 6*h**2. Factor q(x). -(x + 1)**2*(2*x + 1)/3 Let z = 15 - 11. Let y(s) = -s**4 + 6*s**3 - 4*s**2 - 4*s - 4. Let j(d) = d**4 - 7*d**3 + 5*d**2 + 5*d + 5. Let x(v) = z*j(
{ "pile_set_name": "DM Mathematics" }
1 Suppose -4*u - 18 = -2*k, -3*u - 5*k = -k + 30. Let o(d) = -2*d - 7. Let x be o(u). Suppose x*s = 59 + 56. What is the tens digit of s? 2 Suppose -2*s - 3165 = j, -2*s + s - j = 1581. Let u = -2322 - s. What is the tens digit of (-4)/(-14) + u/(-14)? 5 Suppose -224 = -8*m + 10*m. Let p = m + 115. What is the units digit of p? 3 Let v = -2425 - -3636. What is the units digit of v? 1 Let i(q) = -19*q - 57. What is the tens digit of i(-9)? 1 Suppose -6*s - 10 = 8. Let b = 200 - s. What is the hundreds digit of b? 2 Let d(u) = 1625*u + 25. What is the units digit of d(1)? 0 Let s be 1/(3/(11 - -1)). Let i be 0 - (1 - s) - -1. Suppose 0*f + i*f = 48. What is the units digit of f? 2 What is the units digit of 20/6*(5496/30 - 8)? 4 Suppose -24 = 9*b - 5*b. Let k be b/14 + (-1280)/(-14). Let w = -46 + k. What is the units digit of w? 5 Let k be -172*(-3)/15 - 9/(-15). Suppose -57 = -0*a + 3*a. Let f = a + k. What is the tens digit of f? 1 Let l = 15 + -13. Let m = 9 - 4. What is the tens digit of l/m - (-63)/5? 1 Let a be 7 - (2 - 3)*-3. Suppose 7*f + 27 = a*f. Let r(h) = h**3 + 8*h**2 - 13*h - 7. What is the tens digit of r(f)? 2 Suppose -r - 5*c + 3 = 0, -r + 0*r - c = -19. What is the units digit of -1*(0 + -1)*r? 3 What is the units digit of (-21)/(3 - -4)*198/(-1)? 4 Let y be (-470)/16*4/(-10)*4. Let x = 97 - y. What is the units digit of x? 0 Suppose -1 = 2*a - 41. Let t = a + -10. Let f(g) = 3*g - 2. What is the tens digit of f(t)? 2 Let l be 2 + ((-6)/(-1) - 1). Suppose -5*f - w = 0, -4*f - 3*w - 4 = l. What is the units digit of 88/10 + f/5? 9 What is the units digit of 45/30*10*151? 5 Let n = -12 - -6. Let c(y) = 31*y. Let v be c(n). What is the units digit of (3/6)/((-3)/v)? 1 Let z be 2/(-4)*(-3 - 21). Suppose -3*q + z - 33 = 0. Let g = q + 29. What is the units digit of g? 2 Suppose 3*f - 420 = 9*f. Let r = 167 + f. What is the tens digit of r? 9 Let f = 201 - 183. What is the tens digit of f? 1 Let y = -4 - -9. Suppose t + 0*t - y*r + 8 = 0, -2*t - 2*r = -8. Suppose -4 = -3*u + t. What is the units digit of u? 2 Let h = -40 + 44. What is the units digit of 16/28 - 93/(-21) - h? 1 Let b = 573 - 573. Let m be (-1)/(-4) + 7/4. Suppose 5*s - 2*o - 122 = 73, m*s + 5*o - 107 = b. What is the units digit of s? 1 Let y(b) = -b**2 + 14*b - 12 - b**3 - 3 + 13. What is the tens digit of y(-5)? 2 Let h(k) = -k**2 + 4*k - 17. Let b be h(7). Let j = b - -11. What is the units digit of j/36 - 279/(-4)? 9 Let q = -5 - -6. Let w be (-6)/2*q - 4. Let v = w - -29. What is the units digit of v? 2 Suppose -302*l + 300*l = -838. What is the hundreds digit of l? 4 What is the hundreds digit of 65684/52 - 52/338? 2 Let x(k) = 3*k + 59. Let f be x(-19). Suppose 3*c - 7*c = 4*v + 20, 2*v - 14 = 4*c. Let l = v + f. What is the units digit of l? 1 Let x(g) = -g**3 - 6*g**2 + 2*g - 9. Let q(m) = m**2 + 12*m - 8. Let p be q(-12). What is the tens digit of x(p)? 0 Let o(m) = 4*m + 59. Let f be (-108)/(-15) + (-20)/(-25). What is the units digit of o(f)? 1 Let y = -3 + 428. Let v = y + -179. What is the tens digit of v? 4 Suppose 10944 = 3*k - 5*w, 5*k - 4*w = 3891 + 14362. What is the tens digit of k? 5 Suppose -7*v = -v - 774. Suppose -3*u = -9, 4*u = 4*i - v - 163. What is the tens digit of i? 7 Suppose 4*f - 2*c + 0 = -10, 5*c = -4*f - 3. What is the units digit of 23/f*(3 - 7)? 6 Suppose -2*s + 2*y = 7 + 35, 5 = y. What is the hundreds digit of 2*(-404)/s*2? 1 Let y = -2 + -6. Let z be 5 + 12/(y + 4). Let j = z + 1. What is the units digit of j? 3 Let j be 3/(-6)*144/6. Let t be 8/j*(-36)/(-8). Let v(i) = 4*i**2 + 2*i + 3. What is the units digit of v(t)? 3 Let k(m) = -43*m**2 - 4*m + 21. Let h be k(3). Let a = h + 546. What is the hundreds digit of a? 1 Let v = 220 + -154. Let a = v - -20. What is the tens digit of a? 8 Let s(d) = -12*d - 31. Let p be s(-6). Let h = p - -64. What is the hundreds digit of h? 1 Suppose 4 = -11*k + 7*k. What is the units digit of (-4)/(-2)*73/(-2)*k? 3 Let p(a) = 11*a**2 - 7*a + 13. What is the tens digit of p(5)? 5 Suppose -4*u - u = 50. Suppose 14*m = 15*m - 3. What is the units digit of 3/m*-1 - u? 9 Suppose 2*s - 3*s = -3. Let z be 46 + 4/(s - 5). Suppose -4*m = -0 - z. What is the tens digit of m? 1 Suppose 0 = -m + 3*h - 28 - 6, 0 = -2*m - 2*h - 52. Let k = 61 + m. What is the units digit of k? 3 Let c(f) = -2*f**2 - 4*f**3 + 3*f**2 + 3*f**3 + 4*f - 2 + 3*f**2. Let n be c(4). Suppose -n = 4*g + 6, -4*g - 50 = -2*t. What is the tens digit of t? 1 What is the units digit of (1008/20 + 6)/(2/20)? 4 Suppose 10 = -3*a + 4. Let x be (-160)/24 - a/3. Let h(d) = -5*d + 5. What is the units digit of h(x)? 5 Suppose 0 = v - 5, 3*x + 0*v = -v + 956. Let p = -67 + x. What is the hundreds digit of p? 2 Let f(i) = 1 - 3 + 7*i - 8 + 2. What is the units digit of f(13)? 3 Let c(y) = -401*y - 937. What is the hundreds digit of c(-6)? 4 Suppose 0 = -j - 2 - 1. Let p(h) = -h**3 - 5*h**2 + 2*h + 6. Let n be p(-5). What is the tens digit of 504/32 - j/n? 1 Let w(j) be the second derivative of j**5/20 - 7*j**4/12 + 5*j**3/6 + 6*j**2 + 18*j. What is the units digit of w(6)? 6 Let b(y) = -4*y**3 - 18*y**2 + 12*y + 12. What is the hundreds digit of b(-10)? 0 Suppose 3*g - g - 1777 = -5*r, -2*g + 2 = 0. Let f = r + -203. What is the hundreds digit of f? 1 Suppose -174 = -v + 277. What is the tens digit of v? 5 Suppose 0 = -4*u - 3*y + 25, 4*u + 2*y - 10 = 3*u. Suppose 3 = -2*i + 1, -u*i - 13 = -z. What is the units digit of z? 9 Let y = 1413 + 511. What is the thousands digit of y? 1 Suppose 11520 = 15*r + 1440. What is the hundreds digit of r? 6 Let k = 560 - -891. What is the thousands digit of k? 1 Suppose 0 = 7*t - 3*t + 104. Let i = 29 - t. What is the units digit of i? 5 Let j = -21 + 90. Suppose 2*d - j = -d. What is the tens digit of d? 2 Suppose -52*c + 48 = -44*c. Suppose c*h - 224 = -2*h. What is the units digit of h? 8 Let v be (-1 + -2)/(-3)*3. Suppose 5*f - v*g = -6*g - 144, 4*f - 3*g = -99. Let d = -4 - f. What is the units digit of d? 3 Suppose -46 = 4*z - f - 3, 0 = -z + 4*f - 7. Let u(l) = l**2 + 7*l + 9. What is the tens digit of u(z)? 5 Let s(z) = z**3 - 5*z**2 - 2. Suppose 2*k = 33 - 5. Let w(r) = r - 8. Let l be w(k). What is the units digit of s(l)? 4 What is the units digit of 11355/6 + 48/(-32)? 1 Suppose h - 5*l = -11, -l + 1 = h - 2*l. Suppose 0 = -h*i - 3*j - 95, -4*j + 112 = -5*i - j. Let r = i - -40. What is the units digit of r? 7 Suppose -23 - 9 = 2*c. Let l = 60 + c. Suppose -4*o + l = -2*o. What is the units digit of o? 2 Let i = 690 - 165. What is the tens digit of i? 2 Suppose -20 = -6*q + 16. Let h(y) = 18*y - 23. What is the units digit of h(q)? 5 What is the units digit of 11550/45 + (-3)/(-9)? 7 What is the thousands digit of (-116)/(-1914) - 101174/(-66)? 1 Suppose 1486 + 673 = 4*f - 3*d, d + 539 = f. What is the units digit of f? 2 Let p be (7/5)/(12/60). Suppose -124 = -p*i + 5*i. Suppose 0 = n - 2*g - 39, 2*n + g = -3*g + i. What is the units digit of n? 5 What is the tens digit of ((-2)/8)/(-1) - (-14817)/44? 3 Let l be (-1 - -2)/(-5) + 208/40. Suppose -4*z - f + 240 = -175, -5*z = l*f - 515. What is the tens digit of z? 0 Let p = 2689 + -33. What is the tens digit of p? 5 Let h(w) = -14*w**3 - 7*w - 17 + 15*w**3 + 3*w**2 - 4*w + 6*w**2. What is the tens digit of h(-9)? 8 Let m be (-945)/(-30) + 1/(-2). Suppose 0 = g + w - m, -2*w - w = 5*g - 147. What is the units digit of g? 7 What is the tens digit of ((-40)/15)/((-2)/1629)? 7 What is the tens digit of (0 + 2)*((-259)/(-14) + 13)? 6 Let j(d) = -d**2 + 140. Suppose 15*x - 5 = -5. What is the hundreds digit of j(x)? 1 Suppose -3*n - 2230 = -41*v + 40*v, -11102 = -5*v + 3*n. What is the tens digit of v? 1 Let y(z) = z**2 + 11*z - 11. What is the units digit of y(9)? 9 What is the tens digit of 426/4*(1/3 - -3)? 5 What is the hundreds digit of 4*12/(-8)*(0 + -60)? 3 Let h be 12*3/(7 + 2). Suppose 82 = -3*x + h*x. Suppose 3*i = 2 + x. What is the units digit of i? 8 Let f = -69 + 396. What is the hundreds digit of f? 3 Let s(y) = -10*y. Let x(p) = -p**3 + 5*p**2 - 2*p - 2. Let o be x(5). What is the units digit of s(o)? 0 Let g be (18/(-27))/((-1)/(-15)). Let u = g + 26. What is the units digit of u? 6 What is the thousands digit of (2062/(-7))/((-376)/
{ "pile_set_name": "DM Mathematics" }
- z + 8 = -k, -z = 3*b - 17 for b. 4 Let c(g) = -g - 3. Let f(l) = l + 1. Let w(r) = -r. Let s be w(-1). Let x(u) = s*c(u) + 2*f(u). Let o be x(3). Solve 0 = -o*a - 4, 4*q = -0*q + a + 18 for q. 4 Let o = 30 + 1. Suppose -3*z - 5 + 20 = 0. Solve y - 11 = -3*h, 4 + o = 3*h - z*y for h. 5 Suppose 2*i - 15 = 1. Let r be i/(-44) + (-101)/(-11). Solve 0 = 3*c - 2*w + 6, -r = -5*c - 0*w - 3*w for c. 0 Suppose -3*r - 15 = -d, -3 = d + 2*r + 2. Let l = -3 + 5. Solve 5*g = 5*b - 5, d*b + 24 - l = -2*g for g. -5 Let o(x) = -x**2 - 3*x + 1. Let f be o(-5). Let k be (-6 - f) + (1 - 2). Solve -s - 25 = 5*l, -k*s - 3*s - 20 = 4*l for l. -5 Suppose -3*m - 4 = -2*m. Let y(p) be the first derivative of p**4/4 + 5*p**3/3 + 3*p**2/2 - 4*p + 1. Let t be y(m). Solve 4*z = t, -4*v - 18 + 2 = 3*z for v. -4 Let i(w) = 4*w - 16. Let t be i(5). Solve 6 = 3*d - t*y + 14, 5*y = 25 for d. 4 Suppose b - 2*b + 2*x + 10 = 0, 16 = -4*x. Let y be b/(-4)*0/3. Solve v + 4 = -y*v - k, 20 = -5*v - k for v. -4 Suppose -10*o - 22 = -52. Solve x = -4*n + 9, o*n + 4*x + 5 - 2 = 0 for n. 3 Let r(b) = b**3 + 17*b**2 + 16*b + 3. Let m be r(-16). Solve -4*k = -2*z - k + 4, m*k + 6 = 3*z for z. 2 Let z(q) = -q**2 - 9*q + 3. Let o be z(-8). Let l be 2*-1 + -6 + o. Solve 0 = 5*f + 4*d - 6, 3*d = f - l - 2 for f. 2 Let i(s) = -s**2 - 6*s - 4. Let c be i(-4). Let b = 0 + c. Suppose 20 = b*l - 32. Solve -4*n = -4*z - 8, n + l = -3*z - z for z. -3 Suppose 8*u = -5*u. Solve -5*j - 4*x - 20 = u, j - x + 4 = -0 for j. -4 Let t be 27/6 - (-4)/(-8). Solve -5*y + t*y - 16 = 4*r, 3*y = 4*r for r. -3 Let v be (4/(-3))/(2/(-27)). Let w = -13 + v. Let x = -33 - -59. Solve -4*i + 2*t = 0, -w*t = 3*i - 0*t + x for i. -2 Suppose l + 24 = 3*l. Solve 0 = -5*s + 4*t + l, 8 = s - t + 3*t for s. 4 Let r be (-10)/(-80) + 15/8. Suppose 5*p = r*z - 24, 0 = -p - 4. Solve -3*k - 23 = 3*f - 8*f, 22 = 5*f - z*k for f. 4 Suppose -2*u - 2*u + 23 = -p, -4*p - 2 = -u. Let h = 10 - u. Suppose s + h*y = 7, -3*s + 16 = 5*y + 2. Solve j - s*c - 21 = 5*j, -c + 9 = -4*j for j. -3 Let h(v) = -4 + 9*v + 11*v**2 + v**3 - 5 - 22*v. Let f be h(-12). Suppose d - f*d + 8 = 0. Solve -4*i + d = -z, 0*z = 5*i - 5*z - 5 for i. 1 Suppose 0 = z - c - 1, -z - z = c - 8. Solve -3*n = -5*r + 5, 0 = 4*r - 2*n + n + z for r. -2 Let w be (-2 + -9)*(-1 - 0). Let r be (w/((-44)/(-24)))/2. Solve 4*s + r*q - 10 = -0*q, -5*q = -3*s + 22 for s. 4 Suppose 0 = 2*q - 10 + 2. Let h(m) = -m**2 - 8*m - 7. Let a be h(-5). Let t = 1 - -1. Solve y = 5*p + 23, p = t*p + q*y - a for p. -4 Let r = -67 + 81. Solve -2*c + 12 = 4*a - r, -5*a = -4*c for c. 5 Let z be (-2 - -3) + 3 - -4. Suppose z = 3*f + 2. Solve 2*l + f*o - 20 = 4*l, -45 = 5*l - 4*o for l. -5 Suppose 0*x - 3*x = -9. Solve -3*k + 6 = -2*j - 4*k, 2*k - x = -j for j. -5 Let k be 15/(6/(-2))*-1. Solve -3*w = -4*b + k, -3*b - w - 9 = -8*b for b. 2 Suppose 4*z = -5*w + 34 + 11, -4*w + 18 = 2*z. Let x be (96/z)/(1/5). Solve 0 = -5*y - 4*g + 10 - x, 0 = -y - 3*g - 11 for y. -2 Let f = 14 + 6. Let d = f - 15. Solve 2*k + 2*t - 17 = -3*t, 0 = 4*k - d*t + 11 for k. 1 Let r(k) = 2*k**2 - 16*k + 5. Let x be r(8). Solve -3*z + v + 14 = -8*z, 2*z + 11 = x*v for z. -3 Suppose 5*t - 4 = 6. Suppose 4*j = t*k - 8, 5*j + 0*j - 5 = -5*k. Solve -1 = k*f + 5*d, 0 = -4*f - 2*d + 6*d - 16 for f. -3 Suppose -22 = -s - 10. Suppose 6*d - s = 2*d. Let f be 1 - (-3)/((-9)/d). Solve f = -3*t - t, 0 = 2*n + 3*t for n. 0 Let l(i) = -i**2 - 10*i - 12. Let y(z) = -z**2 - 10*z - 8. Let f be y(-10). Let c be l(f). Solve 2*u = -2*u + 2*m, 5*u + 3 = c*m for u. 1 Suppose 3*b + 5*f = 9, -8*f + 3*f = 0. Suppose 20 = b*n - n. Solve -n = -5*m, -5*m = -3*j - 0*j - 10 for j. 0 Suppose -3*r - 285 = -285. Solve -2*a = 3*l - 7, -1 = 4*a + 3*l - r*l for a. -4 Suppose -5*i + 0*i = -10. Let f = 2 - i. Let o be 2/4*(f - 0). Solve 7*p = -4*u + 2*p + 28, o = -3*u + 3*p - 6 for u. 2 Let u(w) = 5*w + 5. Let l be u(-1). Solve -5*p = 5*f + 2 + 43, l = -2*f - 3*p - 23 for f. -4 Let p be (-8 + 3 - -4)*-5. Solve -p*x + 4*w + 7 = 2*w, 3*x = -3*w for x. 1 Let h(l) = 4*l**2 + 4*l - 5. Let z be h(2). Let b = 23 - z. Solve -2*d - 10 = -2*v + 2, 5*v = -b*d + 3 for d. -3 Let y(r) = -4*r - 2. Let b be y(-1). Suppose 2*f = f + b. Solve n + 1 = 4*c, -n + 5*n + 4 = f*c for n. -1 Let v(b) = 1 + 13*b + b**2 - 9 - 4*b + 1. Let n be v(-10). Suppose n*g = 4*g. Solve -4*o - 4 = -g*l - 4*l, -3*l + 4*o + 2 = 0 for l. 2 Suppose -4*u + 2*u = -3*i - 7, -2*u + 11 = i. Let d be (-2)/(i*2/(-6)). Solve o + 11 = d*o + n, o - 3*n = -1 for o. 2 Suppose -2 = y - 2*y + o, -10 = 2*y + 5*o. Solve y = -4*q + 3*l + l - 8, q + 5*l = -2 for q. -2 Suppose -5*d - 3*a + 32 = 0, 5*d - 3*a - 40 = 2*a. Suppose c + 3 - 2 = 0. Let l be (-4*c/1)/2. Solve l*h - d = -t, 2*h - 4 = 2*t - 12 for t. 5 Let g = -16 + 19. Solve 3*q = -0*h + h - 6, q = -g for h. -3 Suppose 0*w + 3*j = 2*w - 15, -5*j = -2*w + 25. Let t = 1 + w. Let a be ((-3)/9)/(2/(-78)). Solve 0 = 5*g - 2*r + a, 2*r - 4 = -5*g - t for g. -1 Suppose -5*n = -2*i - 11, -3*n - 4*i + 0*i = -17. Solve -k + 4*h + 5 = 0, n*k + k - 20 = -h for k. 5 Suppose 27 = 5*x + 7. Let p(u) = -u**3 - 2*u - 10*u**2 - 4*u + 3 - x*u. Let i be p(-9). Solve -5*m + 2*q - i = 0, -q - 4*q - 3 = 4*m for m. -2 Let t(a) = 3*a - 9. Let k be t(10). Solve 27 + 5 = -4*j - 5*s, -3*j - k = 3*s for j. -3 Let h be (3 - (4 + -3)) + 4. Let i = -4 + h. Solve 0 = -g + 4*b + 1, i*g + 5*b = -3*g + 5 for g. 1 Let k be 3/(-6)*(0 - 12). Let t be ((-3)/k)/(4/(-40)). Solve 0 = 4*m + t*w - 2 + 29, 0 = m - 5*w - 12 for m. -3 Let s(i) be the first derivative of i**3/3 + i**2 + 2*i - 2. Let j be s(5). Suppose -3*f + 124 - j = 0. Solve w + 4 - f = -5*c, -w = 3*c - 15 for c. 5 Suppose -5*s - 8 = 2. Let u = s - -9. Solve -3*n + 12 = 2*h - u*n, -20 = -5*h + 5*n for h. 2 Suppose 12 = -3*j - j. Let x be -2 + (-21)/j - 0. Solve 2*i = x*t + 13, -4*t = 9 + 3 for i. -1 Let j be ((-10)/2 + 1)*-1. Let q = 352 - 348. Solve 5*d = 2*s - j, 5 = q*s + 2*d + 21 for s. -3 Suppose 2*c = c + 4*i + 9, 3*c + 4*i = 107. Solve -5*m + 2*x = -15 - 2, -5*m - x = -c for m. 5 Let l(j) = -j + 4. Let m be l(0). Let n be 4 - 1 - (2 + -1). Solve -3*i + m*r + 9 = 0, 0 = n*i + 4*r + 2 + 12 for i. -1 Let n = 1 - 1. Let w(d) be the first derivative of -d**4/4 - 2*d**3/3 - d**2/2 + 2*d - 3. Let b be w(-2). Solve b = -j - n*j - p, 0 = j - 4*p - 21 for j. 1 Let g = 30 + -30. Solve v + 11 = -4*r, g*v - 4*v - 2*r = -12 for v. 5 Let i = -5 - -3. Let q be 2*(i + 1) - -3. Solve -2*l - q = 5*r + 7, -2*r - 8 = 2*l for r. 0 Let c = 90 - 86. Solve 0 = -c*x - 1 - 7, -b + 2*x + 8 = 0 for b. 4 Let u(x) = 2*x**2 + 2 - 4*x - 3 - x**2. Let j be u(-3). Suppose 4*z - j = -0*f - 4*f, -4*z - 15 = -3*f. Solve 2*m - 4*l = -0*m - 16, 0 = -f*m + 2*l for m. 2 Suppose -w = 4*w - 15. Suppose 0 = w*j - j. Suppose d - 4*d - 4*f - 5 = j, 4*d - 5*f - 45 = 0. Solve -l = -c + 9, -3*c = d*l + c for l. -4 Let q(f) = f**2 + 10*f - 7. Let u be q(-11). Solve -3*x - z = -x + 4, u*x = z + 4 for x. 0 Let k = -8 - -5. Let v = 2 - k. Solve -g = x, -v*g - 1 - 9 = -5*x for x. 1 Let m = -1 - -1. Let h = -6 + 28. Solve m = g - 3, -2*f - h = 3*f - 4*g for f. -2 Suppose 0 = -2*v - 8 + 46. Let y = -5 + 9. Suppose q + 4*r = 15, -4*q = y*r - 5 - v. Solve 0 = -o - o - q*h + 2, 0 = 3*o - h - 3 for o. 1 Let a be 2/(-7) + 111/21. Let m = 16 + -11. Suppose 21 - 1 = m*w. Solve w*j + 2*z = 2 + 8, 0 = 5*j + a*z - 5 for j. 4 Let t(m) = m**3 + 7*m**2 + 5*m - 6. Let x be t(-6). Let h be -5*1/(-1) + x. Solve -2*k - h*r + 18 = 0, -r - 4 = -3*r for k. 4 Let x be 4/16*2*14. Suppose -3*f = -5 - x. Solve -3 = -3*b - 5*s, -4*b - 2*s + f = 2*s for b. 1 Let f = -12 + 21. Suppose 3*m + 0*m = f. Solve -5*h + 17 + 3 = 5*w, 0 = -m*h - 5*w + 14 for h. 3 Suppose 0 = 6*v - 33 + 3. Solve -2*d + 3*d = -5*k - 27, v*k = -3*d - 31 for k. -5 Suppose 2*x = 6, 5*q = -0*x - x + 83. Let n = q + -13. Solve 4*j = 5*d + 5, -4*d = -n*j - d for j. -5 Let b = 22 + -22. Solve 4*m - 16 = b, -8 = 5*z + 5*m - 33 for z. 1 Let n = -21 - -30. Suppose 2*v = -v - n. Let m be ((2 - -1) + v)/(-2). Solve m = -y + r + 5, 0 = -9*y + 4*y + r + 5 for y. 0 Suppose 4*x - 15 = -x. Let u = 73 - 73. Suppose u = -x*q + 4*q. Solve q = v + 4, -4*v - 16 = -4*m - m for m. 0 Let x(g) = -3*g - 8. Let c = 8 - 14. Let i be x(c). Suppose 2*q + 0*q = -2*k + i, 5
{ "pile_set_name": "DM Mathematics" }
l. 3 Let g(j) = -j**3 + 13*j**2 - 8*j + 18. Let k be g(12). Suppose -33*s + 35*s - k = 0. What are the prime factors of s? 3, 11 Let d = 27 - 29. What are the prime factors of (d/(-6))/((-15)/(-810))? 2, 3 Let s be (-2)/(45/(-10) + 4). Suppose -s*g + 5*t + 748 = 0, 4*t - 383 = -2*g - 9. What are the prime factors of g? 11, 17 Let n(u) = -u**3 + 9*u**2 + u - 7. Let p be n(9). Let r = -6 - -54. Suppose 5*d = 2*v + 135, -d + r = d - p*v. List the prime factors of d. 29 Let v = 1043 + -696. What are the prime factors of v? 347 Suppose t - 2*u = 0, 4*t + 0*t + 3*u = 0. Let w(i) = -5*i**3 + i**2 - 5*i + 7*i + t*i**3 + 1. List the prime factors of w(-1). 5 Let c(m) = 12*m**2 - 3*m - 5. Suppose 0 = -13*g + 15*g - 6. What are the prime factors of c(g)? 2, 47 Suppose w = i - 152, 2*w = -4*i - 0*w + 632. Let s = -422 + i. List the prime factors of (-2)/(-5) - s/10. 3 Let t(p) = p**2 - 2*p + 1. Let h be t(1). Suppose h = 2*f - 3*f + 46. What are the prime factors of f? 2, 23 Let u = 464 - -26. Suppose 2*y - u = 44. List the prime factors of y. 3, 89 Suppose 3*z - 438 = -5*x, 2*x + 770 = 5*z - 3*x. List the prime factors of z. 151 Let s(v) = -v**2 - 3*v + 8. Let f be s(-7). Let u = -18 - f. Suppose -5*q + 4*q = -u, -z = -2*q - 49. What are the prime factors of z? 53 Let f(z) = -z**2 + z + 24. Let m be f(0). Let a = 27 + -12. Suppose -j + 4*t = -m, j = -5*t - a + 48. List the prime factors of j. 2, 7 Suppose -5*m + 209 = -346. Let l = m - 14. List the prime factors of l. 97 Suppose -6142 + 2218 = 9*h. Let y = -144 - h. List the prime factors of y. 2, 73 Let t(y) = 5*y**2 + 3*y + 3. Suppose 8*b = -5*m + 3*b, 4*m - 2*b + 12 = 0. Let a be t(m). Let p = 28 - a. List the prime factors of p. 11 Let n = -318 - -1060. What are the prime factors of n? 2, 7, 53 Suppose -2*c + 4528 = -5*f, -4*f - 2325 - 6707 = -4*c. List the prime factors of c. 2, 7, 23 Suppose -3*t = 2*b - 1770 - 2378, b = -t + 1382. What are the prime factors of t? 2, 173 Let k = -27 + 14. Let z(n) = 3*n - 8. Let a(h) = h - 4. Let u(r) = k*a(r) + 6*z(r). What are the prime factors of u(4)? 2, 3 Suppose 7 = 3*t + 4. Let i be t - (-12)/(1 + -5). What are the prime factors of ((-5)/(-20))/(i/(-232))? 29 Let a(y) = -2*y**3 - 25*y**2 + 13*y - 9. Let i be a(-13). What are the prime factors of 1/(-3) + 1/(i/(-345))? 2, 19 Let a(p) = p**3 + 8*p**2 + 7*p + 2. Let t be a(-7). Suppose -4*c + s = -t*s - 21, -2 = -2*s. What are the prime factors of c/27 + 448/9? 2, 5 List the prime factors of (-1 - -7) + (114 - -3). 3, 41 Suppose 2*z - a - 10 = 0, z + 3*a - 10 = -3*z. Suppose -3*t + 5*h + 341 = 0, -3*t - z*h + 333 = -h. List the prime factors of t. 2, 7 Let k = -167 + 46. Let t = 293 + k. What are the prime factors of t? 2, 43 Suppose -16 = -5*n + 34. Suppose 2*b + 2*q - n = 0, -10 = -2*b + 2*q - 6*q. Suppose l - a - 16 - 29 = 0, -4*a - 225 = -b*l. What are the prime factors of l? 3, 5 Let w(t) = -8*t + 248. List the prime factors of w(-35). 2, 3, 11 Let n = -958 + 1770. List the prime factors of n. 2, 7, 29 Suppose 2*m = -8, -3*r = -4*m + 3*m - 7. Let s(n) = 70*n - 5. What are the prime factors of s(r)? 5, 13 Let s be (-2673)/(-21) + 8/(-28). Let j = 136 + s. What are the prime factors of j? 263 Let m(l) = 5*l - 11. Let s be m(7). Suppose 11*o - s = 10*o. What are the prime factors of o? 2, 3 Let p(l) = -4*l + 24. Let x be p(5). Let v(o) = 12*o**2 - o - 1. Let j be v(-3). Suppose 0 = -x*w - w + j. What are the prime factors of w? 2, 11 Let s = 15 - 15. Suppose d = 2*d - 4*f - 37, 4*d + f - 233 = s. List the prime factors of d. 3, 19 Let p(t) = -3*t + 1. Let c be p(-3). List the prime factors of -2 + 2/(c/145). 3 What are the prime factors of 0 + 41744/72 - (-4)/18? 2, 5, 29 Let m(i) = -i**3 + 43*i**2 - 57*i + 53. What are the prime factors of m(41)? 2, 7, 11 Suppose 5*h - s - 1472 = 0, h - 298 = -0*h - s. What are the prime factors of h? 5, 59 Let c be 190/8 - 2/(-8). Suppose 4*h + c = u, -3*u - h - h = -30. Let k = u + 15. What are the prime factors of k? 3 Let h be ((-36)/90)/(2/(-20)). Suppose -h*s = -122 - 70. What are the prime factors of s? 2, 3 Suppose 4*q - 3734 = -582. What are the prime factors of q? 2, 197 Suppose -1832 = -2*h + 376. What are the prime factors of h? 2, 3, 23 Suppose 151 + 290 = -3*k. What are the prime factors of (-2)/7 - 19446/k? 2, 3, 11 Suppose 0 = -r - 142 - 20. List the prime factors of (r/(-3))/3 + 3. 3, 7 Let s be 528/52 + 4/(-26). Suppose s = -3*y + y. Let p(b) = b**3 + 5*b**2 - b + 12. What are the prime factors of p(y)? 17 Let u(j) = -j**3 + 8*j**2 - 8*j - 1. Let d = 5 + 1. Let c be u(d). Let i = -12 + c. What are the prime factors of i? 11 Suppose 4*p = -0*p - m + 1867, -5*m - 451 = -p. List the prime factors of p. 2, 233 Let z(a) = -a**3 + 5*a**2 + 6*a - 7. Let h be z(6). Let b = -20 + 45. Let d = h + b. What are the prime factors of d? 2, 3 Suppose 0 = -6*j + 645 + 1677. What are the prime factors of j? 3, 43 Let q = -11980 + 17863. List the prime factors of q. 3, 37, 53 Let t(o) = -4*o**3 + 18*o**2 + 6*o - 4. Let y(f) = f**3 + f. Let l(g) = -t(g) - 5*y(g). What are the prime factors of l(-18)? 2, 101 Let v(h) = -4*h - 7. Let u be v(5). Let z = -75 + 72. Let y = z - u. What are the prime factors of y? 2, 3 Let y = 133 + -45. What are the prime factors of y? 2, 11 Let n(t) = -t**2 - 8*t + 21. Let y be n(-10). Let h = -6 - -11. Suppose h*w = 39 + y. List the prime factors of w. 2 Let o(v) = -195*v + 479. What are the prime factors of o(-8)? 2039 Let c = 42 + -42. Suppose -r = -3*r + 2*f + 500, c = r - 4*f - 250. List the prime factors of r. 2, 5 Suppose 47 = -3*v + 59. Suppose 0 = -q + v*q - 171. What are the prime factors of q? 3, 19 Suppose -m - 84 = -4*m. Let x = 49 - m. List the prime factors of x. 3, 7 Suppose -u = -4*v + 98 + 700, -3*u + 591 = 3*v. Suppose -3*p - 5*q = -214, -4*q + v = 4*p - 73. What are the prime factors of p? 3, 7 Suppose -2*p + 356 = 9*v - 11*v, v = 1. What are the prime factors of p? 179 Let m(f) = 52*f - 6. Let y(g) = -g**2 - 10*g - 14. Let i be y(-8). List the prime factors of m(i). 2, 7 Let g = 1234 - 632. List the prime factors of g. 2, 7, 43 Let k(h) = 14*h + 325. What are the prime factors of k(-10)? 5, 37 Suppose -m = r - 16, 3*r - 3*m = 87 - 15. Suppose -5*j - r = -9*j. Suppose d - 213 = -4*o - 0*d, j*d = 2*o - 79. What are the prime factors of o? 2, 13 Suppose 0 = -12*n + 19*n - 9499. Suppose 4*w + 321 = n. List the prime factors of w. 7, 37 Let o be (14/6 - 2)/(15/90). List the prime factors of (o/6)/(14/(-8274))*-1. 197 Let x(f) = -38*f - 5. Let a be x(3). List the prime factors of 13/26 + a/(-2). 2, 3, 5 Suppose -5*k = -28 - 7. Suppose -5*m + 23 - k = -4*r, -22 = -5*m - 2*r. What are the prime factors of m? 2 Let g(z) = -z**3 - 11*z**2 - 3*z - 8. Let v be g(-11). Suppose -j = 4*n - 178 - 177, v = -5*j. List the prime factors of n. 2, 3, 5 Let a(p) = -2*p**3 - 17*p**2 - p + 128. What are the prime factors of a(-13)? 2, 3, 277 Suppose 22 = 2*h - 5*p, -5*p + 99 - 9 = 5*h. Suppose 0 = 9*f - 11*f + h. Suppose 4*n - 14 = -g + 2*n, -4*n - f = -4*g. List the prime factors of g. 2, 3 Let r be 6/(-2) - 1 - 11. Let a = r - -16. List the prime factors of (-2)/(4/(-68)*a). 2, 17 Let x = 11 - -2. Suppose 5*g - q = x, 4*g + 0 - 5 = -q. Suppose 3*a - m - 51 = 0, -75 = -g*a - 3*a + 5*m. What are the prime factors of a? 2, 3 Let x = -45 - 31. Let b = 130 + x. Suppose -2*n = 2*o - b, 3*o = -n - 45 + 126. List the prime factors of o. 3 Let g = 3979 + -2184. List the prime factors of g. 5, 359 Suppose -2*w + 5*w - 30 = 0. Let v(f) = -f**3 + 11*f**2 - 3*f - 10. Let i be v(w). Suppose i = 2*g - 0*g. What are the prime factors of g? 2, 3, 5 Let v(w) = 46*w**2 - 7*w + 14. What are the prime factors of v(3)? 11, 37 List the prime factors of (-9542)/(-130) + (6/(-15) - 0). 73 Suppose -529*l + 523*l + 234 = 0. What are the prime factors of l? 3, 13 Let t = -423 + 61. Let g = t + 592. List the prime factors of g. 2, 5, 23 Suppose -2*o - 3*o = 2*h + 17, 0 = 2*o + 10. Suppose -h*f + 4 = -2*f. Suppose 2*p - 64 + 0 = -f*z, 3*p = z + 96. What are the prime factors of p? 2 Let i(h) = -h**3 - 11*h**2 + 3. Let t be i(-11). Suppose -t = -f, 2*f = -5*a + 2*a + 168. Suppose 0 = 7*r - 5*r - a. What are the prime factors of r? 3 Suppose 3*s + 12 = 0, 11*s = d + 9*s - 17
{ "pile_set_name": "DM Mathematics" }
et f be (-2 - -1)/(6/(-48)). Suppose -7*v + f = -3*v. Let i(u) = 0*u**2 + 7*u**v - 2*u**2 - u**2. Give i(o(k)). 16*k**2 Let i(v) = -2*v. Let d(b) = -19045*b + 62. Determine i(d(f)). 38090*f - 124 Let p(q) = 2*q. Let i(u) = 4443*u - 38. What is i(p(j))? 8886*j - 38 Let s(j) = 3*j**2. Let w(m) = -m**2 + 10*m - 8. Let q be w(9). Let a(l) be the first derivative of -2*l**2 - 1 + q - 2 + 4. Calculate a(s(c)). -12*c**2 Let p(s) = -174*s**2 - 172*s**2 + 349*s**2. Let w(r) = -r + 2. Let h be w(2). Let q(x) = 5 - 2*x + h*x - 5. Calculate q(p(k)). -6*k**2 Let x(v) = -25*v**2. Suppose 3*b - 8 = -19*a + 18*a, -a - 10 = -3*b. Let r(y) be the second derivative of 11*y + 1/6*y**b + 0 + 0*y**2. Determine x(r(i)). -25*i**2 Let x(o) = -15*o**2 - 2. Let m(r) = 3*r**2 - r - 2. Let y(n) = 10*n**2 - 6*n - 12. Let s(j) = -6*m(j) + y(j). Calculate s(x(b)). -1800*b**4 - 480*b**2 - 32 Let a(p) = -3*p. Let t(r) = r. Let w(i) = -6*a(i) - 15*t(i). Suppose 0 = -s - 38 + 41. Let d(z) = 4*z**2 + 3 - 2*z**2 - s. Determine w(d(n)). 6*n**2 Let u(m) = 190*m**2 + m - 22. Let f(o) = -2*o - 12. Determine u(f(p)). 760*p**2 + 9118*p + 27326 Let o(b) = 282*b. Let a(k) = -15*k**2 - 16. Determine o(a(i)). -4230*i**2 - 4512 Let s(p) = -p. Suppose 0 = 10*v - 7*v - 63. Let h(b) = 1. Let g(c) = c + 7. Let k(m) = v*h(m) - 3*g(m). Give s(k(o)). 3*o Let o(x) = 32*x**2. Let c(k) be the second derivative of 0*k**3 + 0 + 0*k**2 - 1/6*k**4 - 12*k. Give c(o(n)). -2048*n**4 Let v be 18/6 - 4*-7. Let u(a) = 31 - 3*a - v. Let s(h) = 4*h**2. Give u(s(r)). -12*r**2 Let x(d) be the second derivative of d**4/12 + 5*d. Let y(a) = 9*a - 5. Let c(i) = -4*i + 2. Let g(q) = -5*c(q) - 2*y(q). Determine g(x(f)). 2*f**2 Let a(t) = 380*t**2. Let k(u) = -u**2. Let j(l) = -a(l) - 114*k(l). Let i(d) = -d. Determine i(j(q)). 266*q**2 Let c(b) = 2*b**2 - 168. Let i(s) be the first derivative of s**2/2 - 558. Calculate i(c(m)). 2*m**2 - 168 Let m(g) = -2*g. Let x(p) be the second derivative of 0*p**2 + 0*p**3 - 1/12*p**4 - 2*p + 0. Give m(x(q)). 2*q**2 Let l(w) = -2*w**2 - 30*w. Let a(q) be the third derivative of -q**5/30 + 183*q**2. Calculate a(l(r)). -8*r**4 - 240*r**3 - 1800*r**2 Let x(w) = 692021*w**2. Let k(u) = -2*u**2. Calculate x(k(a)). 2768084*a**4 Let j(i) = -19*i - 826. Let n(v) = -12*v. Calculate n(j(c)). 228*c + 9912 Let d(g) = 325*g - 104*g - 109*g - 110*g. Let l(s) be the second derivative of 5*s**4/2 + s. Calculate d(l(x)). 60*x**2 Let b be (-26 + 26)/(-2 - 1). Let i(g) be the first derivative of 2 + b*g - 1/2*g**2. Let s(u) = 5*u. Calculate s(i(n)). -5*n Let g(b) = -8*b + 2*b**2 + 8*b. Suppose -4*d + 2 = -14. Let p(j) = 6*j + 4*j - d*j - 5*j. Calculate g(p(q)). 2*q**2 Let y(w) = 13*w**2 - 9*w**2 - 6*w**2. Let c(a) = -6 - 4 + 10 - 19*a. Calculate c(y(k)). 38*k**2 Let u(b) = 185020*b. Let v(z) = -z. What is v(u(t))? -185020*t Let r(k) = -4*k. Let n(a) = 2*a. Let b(s) = 32 + 38 - s - 70. Let h(o) = 7*b(o) + 4*n(o). Determine r(h(q)). -4*q Let r(o) = -2*o**3 + 4*o**2 - o + 8. Let x be r(-5). Let u(g) = -x*g + 721*g - 360*g. Let v(p) = -3*p**2 + 16*p. Calculate u(v(b)). 6*b**2 - 32*b Let k(v) = 2*v**2. Suppose -5*h + 2 = -3, -4*h = -2*m + 40. Let z(p) = -15 + m*p + 15. What is z(k(b))? 44*b**2 Let n = 703/4 - 526/3. Let c(l) be the second derivative of n*l**4 + 0*l**3 + 0 + 0*l**2 + 8*l. Let z(m) = 4*m**2. Calculate z(c(v)). 100*v**4 Let u(p) = 2*p**2. Let k(a) = 1101*a - 138. What is k(u(h))? 2202*h**2 - 138 Let r(k) be the third derivative of -2*k**4 - k**2 + 7*k. Let x(u) = -4*u + 5*u + 0*u. What is r(x(p))? -48*p Let f(r) = 11*r. Let z be 3 - 7/((-14)/4). Let j(p) = -2*p - 2. Let v(n) = n**2 - 5*n - 5. Let q(t) = z*j(t) - 2*v(t). Calculate q(f(d)). -242*d**2 Let i(m) = 55*m - 3 - 27*m - 26*m. Let l(u) = -3*u + 5. Let d(v) = -5*i(v) - 3*l(v). Let p(b) = 0*b**2 + 2*b**2 - 4*b**2. Give p(d(f)). -2*f**2 Let f(a) = -a. Let g(c) = 971482*c**2. Determine g(f(i)). 971482*i**2 Let g(w) be the third derivative of -w**4/12 + 3*w**2 + 1. Let v(n) = 5*n + 3. Determine v(g(a)). -10*a + 3 Let s(a) = 2*a**2. Let j(c) = 61*c**2 - 25*c**2 + 5*c - 23*c**2 - 19*c**2. Calculate s(j(o)). 72*o**4 - 120*o**3 + 50*o**2 Let o(z) = 3*z**2. Let s(x) = -532789*x + 1. What is s(o(t))? -1598367*t**2 + 1 Let s(m) be the first derivative of -10*m**3 - 1. Let q(w) = -w**2 + 15*w + 37*w - 52*w. Determine q(s(k)). -900*k**4 Let w(i) = 17*i**2. Suppose g + 22 = k + 4*k, 0 = -2*k + 5*g - 5. Let x(p) = 3*p + 0*p - k*p. Determine w(x(h)). 68*h**2 Let u(h) = -4*h**2. Let z(g) be the third derivative of -g**7/840 + 7*g**4/8 + 27*g**2. Let p(t) be the second derivative of z(t). What is p(u(w))? -48*w**4 Let s(j) = -18*j. Let l(c) = -2*c. Let b(v) = -52*l(v) + 6*s(v). Let n(g) = 10 + 0*g**2 - 2*g**2 - 10. Give n(b(a)). -32*a**2 Let l(f) = -4*f + 50. Let b(n) = 5*n - 60. Let x(h) = 5*b(h) + 6*l(h). Let q(k) = 19*k**2 + 8*k**2 + k**2. Determine q(x(a)). 28*a**2 Let o(z) = z. Let t(m) = m**2 - 6*m - 6. Let b(q) = 7*q. Let d be b(-1). Let p(g) = -4*g + 2*g - 5*g + g**2 - 7. Let u(c) = d*t(c) + 6*p(c). Give u(o(k)). -k**2 Let g(i) = 8*i**2. Let s(k) = 9*k**2 - 13*k**2 - k**2 + 7*k**2. Determine g(s(v)). 32*v**4 Let l(r) be the third derivative of 7*r**5/30 + 113*r**2 - 1. Let w(k) = -107*k. Calculate l(w(t)). 160286*t**2 Let v(f) = 11*f - 12. Let p(j) = 57*j - 63. Let w(u) = 4*p(u) - 21*v(u). Let a(x) = 4*x**2 - 13*x. Calculate a(w(b)). 36*b**2 + 39*b Let b(j) = -7*j + 7*j - 2*j**2 + 11*j**2. Let y(z) = z**2 - z**2 - z**2. Calculate b(y(o)). 9*o**4 Let u(c) = 2*c + 20. Let q be u(-8). Let t(o) = -q*o + 4*o + o - 3*o. Let g(p) = 17*p. Calculate g(t(m)). -34*m Let s(x) = 7*x - 6. Let c(j) = -2*j + 1834. Determine c(s(z)). -14*z + 1846 Let x(v) = v. Let a = -3 + 3. Suppose a = 3*l + f - 3*f - 2, -5*f + 18 = 4*l. Let t(n) = 18 - 18 - 5*n**l. Determine t(x(r)). -5*r**2 Let b(i) = -2*i + 32. Let o be b(15). Let c(r) = o - 2 - 749*r + 781*r. Let a(j) = -2*j. What is a(c(q))? -64*q Let r(w) = 17*w**2. Let h(k) = -40*k**2 - 40*k**2 - 46*k**2 + 125*k**2. Determine r(h(g)). 17*g**4 Let i(l) = -15*l. Let v(d) = 7642*d**2. What is i(v(f))? -114630*f**2 Let z(g) be the second derivative of -17*g + 0*g**3 + 0 - 11/6*g**4 + 0*g**2. Let h(r) be the third derivative of -r**4/12 + 3*r**2. Give z(h(c)). -88*c**2 Let f(j) = -j + 1. Let p(b) = b - 2. Let c(t) = 2*f(t) + p(t). Let r(s) = 7*s. What is r(c(u))? -7*u Let y(o) = -44*o**2. Let k(a) be the first derivative of -a**2 - 77. Give y(k(h)). -176*h**2 Let a(p) = 5*p**3 + 3*p**2 - p - 1. Let b be a(1). Let w(g) = -78 + 78 + b*g**2. Let n(u) = 5*u - 4. Let d(y) = y - 1. Let v(o) = -4*d(o) + n(o). Give w(v(x)). 6*x**2 Let t(i) = -10*i**2. Let k(p) = -5*p + 2. Let s be k(-1). Let d(z) = 3*z - s*z + 4*z - 2*z**2. Give d(t(g)). -200*g**4 Let h(u) = 2*u**2. Let s(i) = 171*i**2 + 76*i + 38. Let g(y) = -23*y**2 - 10*y - 5. Let p(t) = 38*g(t) + 5*s(t). Give h(p(c)). 722*c**4 Let x(h) be the second derivative of h**4/12 - 3*h**2 + 7*h. Let f(i) be the first derivative of x(i). Let n(s) = -5*s + 2*s + 2*s. Give f(n(c)). -2*c Let g(s) = 1. Let x(h) = -h**2 + 6. Let p(u) = 6*g(u) - x(u). Let r(v) = v - 2. Let n be r(4). Let l(w) = n*w - 2*w + 3*w - 5*w. Determine p(l(j)). 4*j**2 Let v(l) = 2*l**2. Let s(p) be the second derivative of 5*p**3/3 - 3*p**2/2 - 12*p. Let i(b) = -280*b + 85. Let m(j) = -6*i(j) - 170*s(j). Calculate v(m(a)). 800*a**2 Let j(b) = -52*b + 143. Let q(y) = -4*y - 5. What is q(j(r))? 208*r - 577 Let i(k) be the third derivative of -k**5/15 + 112*k**2. Let r(y) = -3*y. Determine i(r(d)). -36*d**2 Let u(o) = o**2. Let a = -472 - -478. Let m(t) be the first derivative of 3/2*t**2 + 0*t - a. What is u(m(c))? 9*c**2 Let z(u) = -u**3 + 6*u**2 - 3*u - 4. Let w be z(5). Let n(m) = -8*m - w*m + 0*m. Let j(h) be the third derivative of -h**5/60 - h**2 + 84. What is n(j(p))? 14*p**2 Let f(l) be the third derivative of -l**4/3 + l**2. Let q(w) be the third derivative of 17*w**2 + 0*w + 0*w**3 + 0 - 1/60*w**5 + 0*w**4. Give f(q(k)). 8*k**2 Let u(w) = 0 + 0 - 9*w**2. Let i(f) = 3*f. Let v(t) = 10*t + 4*t - 10*t. Let g(k) = 3*i(k) - 2*v(k). Determine u(g(d)). -9*d**2 Let f(w) be the first derivative of w**2/2 + 70. Let z(x) = -4*x**2 + 4*x + 4. Let c(b) = -b - 1. Let s(o) = -20*c(o) - 5*z(o). Give s(f(g)). 20*g**2 Let q(o)
{ "pile_set_name": "DM Mathematics" }
**5/60 - 6*u**2. Calculate n(y(d)). 4*d**2 Let g(f) = -2074 - 114*f**2 + 2074. Let w(k) = 2*k. Calculate g(w(d)). -456*d**2 Let b(d) = d**2. Suppose h = -k + 8, -4*k + 3*k = -h + 2. Suppose -k*o - 12 = -6*o. Let q(j) = -4*j + o*j - j. Determine q(b(m)). -m**2 Let g(d) be the second derivative of d**3/6 - 2*d. Let q(t) = 23*t**2 - 53*t**2 + 27*t**2. Calculate q(g(w)). -3*w**2 Let l(t) = -4*t. Suppose -3*b + h - 46 = 2*b, -b = 4*h + 26. Let p(j) = -2*j. Let s(d) = d. Let n(w) = b*s(w) - 4*p(w). Determine n(l(a)). 8*a Let p(o) = 35138*o**2. Let x(c) = c. What is x(p(y))? 35138*y**2 Let r(c) = c. Let p(y) = 2*y. Let s(f) = p(f) - 3*r(f). Let v(m) = -11*m**2. Determine v(s(g)). -11*g**2 Let r(k) = -7*k. Let h(q) = 374*q. Determine r(h(p)). -2618*p Let g(q) = -2*q. Let n(x) = 89 - 47 + 31*x - 42. Give n(g(v)). -62*v Let k(q) = -171*q - 3. Let r(s) = s. What is r(k(n))? -171*n - 3 Let i(a) = 11*a**2. Let u(w) = -153*w**2. What is u(i(k))? -18513*k**4 Let l(a) = a - 3. Let t(j) be the third derivative of j**4/12 - j**3/3 - 6*j**2. Let s(q) = 2*l(q) - 3*t(q). Let u(o) = -o. Calculate s(u(n)). 4*n Let h(p) = -4*p + 20. Let q(j) = -j + 6. Let u(l) = -3*h(l) + 10*q(l). Let k(f) = f + 1. Let t(o) = 2*o + 1. Let n(c) = k(c) - t(c). What is u(n(x))? -2*x Let m(i) = 15*i. Let q(l) = -7*l. Let x(p) = 6*m(p) + 13*q(p). Let t(k) = 2*k**2. Determine x(t(b)). -2*b**2 Let n(z) = -13*z. Let w(m) = 181*m**2. Calculate n(w(d)). -2353*d**2 Let x(a) = -9*a. Let y(l) be the third derivative of l**4/4 - 11*l**3/6 - 6*l**2. Let b(m) = m - 2. Let j(n) = 22*b(n) - 4*y(n). Give j(x(h)). 18*h Let i(a) = -317*a - 2. Let p(t) = 2*t. Calculate p(i(v)). -634*v - 4 Let r(j) = -9*j**2. Let p(s) = -7*s**2 + 6*s + 6. Let q(b) = b**2 - b - 1. Let v(n) = -p(n) - 6*q(n). Determine v(r(w)). 81*w**4 Let h(z) = -4*z. Let w = -7 - -6. Let y(d) = 7*d - 6. Let k(i) = -i + 1. Let x(n) = w*y(n) - 6*k(n). What is h(x(a))? 4*a Let n(p) = -p + 4. Let f(x) = -x + 3. Let h(q) = -q**2 + 5*q - 1. Let m be h(4). Let g(c) = m*n(c) - 4*f(c). Let l(b) = -8*b**2. Determine g(l(t)). -8*t**2 Let f(r) = 6*r - 4. Let v(i) = 5*i - 3. Let c(n) = 3*f(n) - 4*v(n). Let g = 0 - -4. Let q(h) = -4*h + g*h - 3*h. Give c(q(z)). 6*z Let v(y) = 4*y. Let s(t) = -4*t**2 + 0*t**2 - 2*t**2 + 3*t**2. Calculate s(v(n)). -48*n**2 Let y(n) = -759*n**2. Let p(l) = -12*l. Determine p(y(s)). 9108*s**2 Let c(f) = 4*f + 6. Let z(k) = -5*k - 5. Let a(r) = 5*c(r) + 6*z(r). Let y(x) = 3*x. What is y(a(j))? -30*j Suppose -3*k + 4*k = 2. Let j(a) = 4*a - 2*a**k + 0*a**2 - 4*a. Let g(n) = -3*n + 3. Let d(i) = i**2 + 7*i - 7. Let l(f) = 3*d(f) + 7*g(f). Calculate l(j(r)). 12*r**4 Let a(y) = -28*y**2. Let m(j) = -j**2. What is m(a(r))? -784*r**4 Let h(y) = -2*y**2. Let j(z) be the third derivative of z**5/20 - z**3 + 10*z**2. What is h(j(a))? -18*a**4 + 72*a**2 - 72 Let q(d) = 133*d**2. Let x(m) = -16*m**2. Determine q(x(y)). 34048*y**4 Let o(v) = -2*v**2. Let f(j) = -21*j**2 - 2*j. Let a(c) = -43*c**2 - 5*c. Let i(r) = -2*a(r) + 5*f(r). Give o(i(b)). -722*b**4 Let o(y) = -3*y**2 + 2*y**2 + 3 + 3. Let z(c) = c**2 - 7. Let v(w) = 7*o(w) + 6*z(w). Let d(b) = -2*b**2 - 2*b**2 + 4*b**2 + 2*b**2. What is d(v(g))? 2*g**4 Let l(t) be the first derivative of 5*t**3/3 - 5. Let o(m) = -4*m. What is o(l(k))? -20*k**2 Let q(i) = i**2. Let g(k) = -4*k**2 - 1. Calculate q(g(w)). 16*w**4 + 8*w**2 + 1 Let j(h) be the first derivative of 2*h**3/3 - 1. Let z be 4/6 - 4/(-3). Let p(k) = -6*k**z + 0*k**2 + 2*k**2. Give j(p(y)). 32*y**4 Let z(s) = 3*s**2. Let c(q) = 1097*q. What is z(c(p))? 3610227*p**2 Let q(r) be the first derivative of -4*r**3/3 + 8. Let t(c) = 3*c. Determine q(t(o)). -36*o**2 Let i(a) = 2*a**2. Suppose -2*k = -3*k + 2. Let z(u) = 3*u + k*u - 2*u - u. Calculate z(i(s)). 4*s**2 Let n(j) = -2*j. Let s(c) = 4741*c**2. Determine n(s(d)). -9482*d**2 Let g(d) = -2*d - 2. Let t(y) = 1. Let l be (-7)/1 - -3 - -2. Let f(q) = l*t(q) - g(q). Let c(n) = 14*n**2. Give f(c(p)). 28*p**2 Let w(x) = 159*x. Let d(h) = 17*h. Determine w(d(v)). 2703*v Let s(f) = -f. Let a(u) = 8*u**2 - 17*u - 5. Let z(r) = -4*r**2 + 9*r + 3. Let o(y) = -3*a(y) - 5*z(y). Calculate o(s(h)). -4*h**2 - 6*h Let a(n) = 16*n**2. Let g(o) = 35*o. What is a(g(k))? 19600*k**2 Let l(r) = -4 - 2*r**2 + 8 - 4. Let t(v) = 34*v**2. What is t(l(i))? 136*i**4 Let z(h) = -147 - 2*h + 147. Let c(k) = -3*k. Give z(c(u)). 6*u Let l(w) = 4*w. Let x(q) = -q - 3. Let i(a) = -16*a - 52. Let f(k) = 6*i(k) - 104*x(k). Determine l(f(p)). 32*p Let u(z) = 45*z**2 - 42*z**2 - 3*z + 3*z. Let c(h) = -h + 1. Let g(y) = y**2 + 4*y - 4. Let i(l) = -12*c(l) - 3*g(l). Determine i(u(r)). -27*r**4 Let a(v) = -v. Let n(o) = 14454*o**2. Determine n(a(q)). 14454*q**2 Let h(s) be the first derivative of -s**3/3 + 27. Let r(u) = 13*u. What is r(h(i))? -13*i**2 Let i(b) be the first derivative of -b**2/2 - 11. Let u(m) = 8*m. Let w(v) = -6*i(v) - u(v). Let d(c) = 3*c**2 - 4*c**2 + 4*c**2. Determine w(d(h)). -6*h**2 Let p(g) be the second derivative of -g**4/6 - 6*g. Let j(d) = -d. Determine p(j(v)). -2*v**2 Let g(a) = a**2. Let m(k) = 32*k**2 - 12*k**2 - 13*k**2 - 9*k**2. Calculate g(m(z)). 4*z**4 Let w(o) = -2. Let s(l) = l + 3. Let m(t) = 2*s(t) + 3*w(t). Let a(y) = 7*y. Give a(m(c)). 14*c Let m(r) be the first derivative of 4*r**3/3 - 76. Let f(i) = -17*i**2. Give f(m(k)). -272*k**4 Let g(w) = -w. Let n(h) = -h**2 - h - 1. Let i(c) = 4*c**2 - 3*c - 3. Let u(k) = i(k) - 3*n(k). Calculate u(g(s)). 7*s**2 Let t(o) = 2*o**2. Let z(v) = v + 71. Calculate z(t(w)). 2*w**2 + 71 Let h(o) = 2*o. Let d(z) = 159*z - 67. Give h(d(a)). 318*a - 134 Let k(f) = -f**3 + 5*f**2 - 2*f - 3. Let w be k(4). Let n(o) = 3*o**2 - 4*o**2 - 5*o**2 + w*o**2. Let r(i) = 3*i**2. Determine r(n(q)). 3*q**4 Let r(z) = 9725*z**2. Let g(n) = -n**2. Determine r(g(v)). 9725*v**4 Suppose 3*w = 4*c - 17, -5*c + 2*c - 4*w = 6. Let t(g) = 1 - 3 + 7*g**c + 2. Let r(x) = 2*x. Give t(r(s)). 28*s**2 Let p(t) be the first derivative of 5 + 2/3*t**3 + 0*t**2 + 0*t. Let c(y) = -11*y. Calculate p(c(l)). 242*l**2 Let b(r) = 24*r. Let x(f) = 285*f**2. Determine x(b(t)). 164160*t**2 Let i(s) = 364*s**2. Let q(a) = 5*a. What is i(q(k))? 9100*k**2 Let w(h) = h. Let m = 10 + -8. Let i(c) be the second derivative of -3*c + 1/2*c**3 + 0*c**m + 0. Determine i(w(y)). 3*y Let c(j) be the third derivative of j**8/10080 - j**5/15 - 3*j**2. Let l(u) be the third derivative of c(u). Let z(b) = -2*b. Determine z(l(s)). -4*s**2 Let k(d) = -17*d**2. Let q(o) = -104*o. Calculate k(q(i)). -183872*i**2 Let y(g) = -2*g**2. Let b(j) = -2*j - 74. What is y(b(p))? -8*p**2 - 592*p - 10952 Let u(k) = 28*k. Let o(p) = 4*p**2 - 11*p. Calculate u(o(r)). 112*r**2 - 308*r Let r(q) be the first derivative of q**2 - 1. Let p(o) = 8*o**2 - 17*o - 17. Let d(t) = 3*t**2 - 6*t - 6. Let v(x) = -17*d(x) + 6*p(x). Give r(v(y)). -6*y**2 Let p(b) = 10880*b. Let s(i) = -i**2. Determine s(p(c)). -118374400*c**2 Let l(c) = -32*c - 4. Let i(o) = 2*o**2. What is i(l(r))? 2048*r**2 + 512*r + 32 Let c(d) be the first derivative of -2*d**3/3 + 2. Let r(l) = -5*l. What is c(r(y))? -50*y**2 Let x(f) = -2*f**2. Let a(k) be the second derivative of -k**4/3 - 8*k. Give a(x(b)). -16*b**4 Let m(p) = p**2 - 3. Let g(x) = -2*x**2 + 5. Let t(u) = -3*g(u) - 5*m(u). Let y(q) = -3*q. Give y(t(w)). -3*w**2 Let c(k) = 8*k. Let v(f) = 255*f. What is v(c(y))? 2040*y Let f(w) = 3*w. Let b(g) = 774*g. Calculate b(f(z)). 2322*z Let y(d) = 8*d. Let v(n) = -446 + 2*n + 446. Determine v(y(x)). 16*x Let l(w) = -1572 - w + 1572. Let q(z) = -16*z**2 + 1. Give l(q(n)). 16*n**2 - 1 Let i(n) = n**2. Let x(k) = -4*k**2. Let a(j) = -18*i(j) - 4*x(j). Let s(b) be the second derivative of b**3/6 - 3*b. Calculate s(a(l)). -2*l**2 Let o(p) = -3*p**2 - 5*p - 5. Suppose x + 6 = -0*x. Let f(v) = 4*v**2 + 6*v + 6. Let u(s) = x*o(s) - 5*f(s). Let j(k) = 3*k + 3*k - 5*k. Determine u(j(c)). -2*c**2 Let m(z) = z. Let f(s) = -10*s**2 + 13*s**2 + 3*s**2. What is f(m(y))? 6*y**2 Let u(f) = -9*f**2 - 9*f**2 - 5 + 5. Let a(v) = -v**2. What is a(u(w))? -324*w**4 Let g(t) = -7*t + 2. Let m(j) = -j - 1. Let a(s) = -3*g(s) - 6*m(s). Let d(p) = 3*p**2. Calculate d(a(h)). 2187*h**2 Let h(b) = b. Let a(j) = -j**2 - 11*j. Let k(r) = r. Let o(g) = -2*a(g) - 22*k(g). What i
{ "pile_set_name": "DM Mathematics" }
(j) = -6*j + 2. Let x(c) = c**2 + 3. Calculate the remainder when w(-3) is divided by x(-2). 6 Let c = -4 - -14. What is the remainder when 14 is divided by ((-16)/10)/(-4)*c? 2 What is the remainder when 55 is divided by (48/20)/((-12)/(-80))? 7 Let u = 91 - 81. What is the remainder when 13 is divided by u? 3 Suppose 4*i - 59 = -h + 14, 0 = 3*i - 5*h - 72. Let r(o) = 6*o - 5. What is the remainder when r(7) is divided by i? 18 Let h(z) = z**2 + 8*z - 2. Let s be h(-8). Let l be (33/(-2))/(9/(-12)). What is the remainder when 38 is divided by l*(-1)/s + 2? 12 Let m(c) = 56*c**3 + c**2 + c - 1. Suppose 4*w = -3*r + 20 + 9, 3*w = 5*r - 87. Calculate the remainder when m(1) is divided by r. 12 Let y(f) = f**2 + 8*f + 15. What is the remainder when 7 is divided by y(-6)? 1 Calculate the remainder when -3 + -3 + 44 - 0/(-1) is divided by 13. 12 Let n = 16 + -3. Suppose -3*m = 2*m - 50. Suppose -2*t = -2*f + m, f - 2*t - 5 = 3*t. Calculate the remainder when n is divided by f. 3 Let c be 74 - -1*(1 + 2). Suppose c = 5*d - 208. Let g = d - 41. Calculate the remainder when g is divided by 6. 4 Let q(o) = -8*o + 2. What is the remainder when (2/(-2))/1 + 35 is divided by q(-2)? 16 Let z(r) = 52*r + 1. Let k be z(2). Suppose 3*w - 9 = 0, -3*l + 3*w = -w - k. What is the remainder when l is divided by 2/10 + 594/30? 19 Suppose 2*q + 4*z = 5 - 87, 0 = -5*q - 5*z - 180. What is the remainder when 59 is divided by 7/(-14) - q/2? 14 Let d(b) = b**3 + 13*b**2 + 10*b - 15. What is the remainder when d(-12) is divided by 3? 0 Let w be (-7)/(-28) + (-30)/(-8). Suppose -2*p = -4*p + 2*h + 16, 12 = w*h. Let n(j) = -j + 6. What is the remainder when p is divided by n(0)? 5 Suppose -2*v + 16 = -0*v. Let f(w) = 3*w**2 + 6*w + 2. What is the remainder when f(-5) is divided by ((-12)/v)/((-6)/64)? 15 Let h(f) = 4*f. Calculate the remainder when 47 is divided by h(4). 15 Let q(w) be the third derivative of -w**6/120 + 7*w**5/60 - w**4/24 - w**2. Calculate the remainder when 88 is divided by q(6). 28 Let m(v) = 16*v - 3. Let x = -93 + 103. What is the remainder when m(2) is divided by x? 9 Let m be (-2)/10 + 6/30. Suppose m*r = -5*r + 85. Calculate the remainder when r is divided by 9. 8 Suppose 386 = 6*f + 38. Calculate the remainder when f is divided by 20. 18 Let s be 3/(-6)*-2 + -4. What is the remainder when 28 is divided by 12/s + (18 - -2)? 12 Let g be (4/5)/(8/20). Let c be ((-1)/2)/(g/(-432)). Let i = 152 - c. Calculate the remainder when i is divided by 15. 14 Suppose 2*c - 5*n - 345 = 0, -2*c + 3*n - 2*n = -325. Let r = c - 354. What is the remainder when 21 is divided by r/(-18) + (-2)/(-9)? 10 Suppose -13 = -3*v + 53. Calculate the remainder when v is divided by 8. 6 What is the remainder when 1/(((-11)/(-20))/11) is divided by 11? 9 Let x = 88 - 78. What is the remainder when 25 is divided by x? 5 Let q = -24 + 34. What is the remainder when 39 is divided by q? 9 Suppose w - 16 = -4*l + 9, -w + 5*l + 16 = 0. Calculate the remainder when w is divided by 11. 10 Calculate the remainder when 48/20*(39 - 4) is divided by 18. 12 Suppose 4*m + 5*l = 5*m + 7, 5*l = 15. Calculate the remainder when m is divided by 2. 0 Suppose 0 = h - 4*h + 3. Let q = h - -1. Suppose -r + 29 = -5*f + f, -q*r + 5*f + 67 = 0. What is the remainder when r is divided by 14? 13 Let r(l) = -l**3 + 14*l**2 - 18*l + 11. Let v be r(12). Let z = 173 - v. What is the remainder when z is divided by 23? 21 Suppose 2 = 2*x - 6. Suppose -2*g = -x*g + 8. Let n = 10 + g. What is the remainder when 54 is divided by n? 12 Let r = 50 + -23. Calculate the remainder when r is divided by 15. 12 Suppose 3 = -n + 3*s, 0 = -5*n - 5*s - 13 - 22. Let h = 3 - n. What is the remainder when h is divided by 4? 1 Let i(x) = 4*x**2 - 4*x + 3. Let k(c) = -12*c**2 + 13*c - 9. Let v(y) = 7*i(y) + 2*k(y). Calculate the remainder when v(2) is divided by 8. 7 Let c = 173 - 129. What is the remainder when c is divided by 24? 20 Suppose -12*m + 46 = -10*m. Calculate the remainder when m is divided by 6. 5 Let q(p) = -p**3 + 5*p**2 + 29*p - 9. Calculate the remainder when q(8) is divided by 63/4 + (-1)/(-4). 15 Suppose -2*d = d + 3*p + 27, 5 = -5*p. Let i = 12 + d. Suppose -3*w = i*c - 19, -3*c = -7*w + 2*w - 36. What is the remainder when 19 is divided by c? 5 Suppose 0 = 3*m - 7*m + 40. Calculate the remainder when (6 - 1)*(-39)/(-5) is divided by m. 9 Let u = 47 - 26. Calculate the remainder when u is divided by 6. 3 Suppose 5*y = -4*p + 12, y + 0*p = -2*p. What is the remainder when (-2 - 24)*(-2)/y is divided by 5? 3 Calculate the remainder when 93 is divided by 1*60*13/39. 13 Let r = 10 + -12. What is the remainder when (-3)/6*(r - 138) is divided by 18? 16 Let k = 5 + -2. Let b = -7 + 16. Suppose 4*h - b + 1 = 0. What is the remainder when k is divided by h? 1 Calculate the remainder when 65 is divided by 266/8 - 2/8. 32 Let u(f) = -f**2 - 7*f - 4. Let g be u(-4). Suppose 392 = 8*s - 4*s. Suppose -3*d - g = -s. Calculate the remainder when d is divided by 16. 14 What is the remainder when 3/(-9) - 68/(-6)*1 is divided by 1? 0 Calculate the remainder when (-42)/2*(-14)/21 is divided by 3. 2 Let i(a) = -3*a**2 + 4. Let t(q) = -3*q**2 - q + 3. Suppose 2*u + 3 = -3. Let m(j) = u*t(j) + 2*i(j). Calculate the remainder when m(2) is divided by 9. 8 Let m be 4/(-4)*(-1)/1. Suppose 43 = f + m. What is the remainder when f is divided by 11? 9 Let z = 12 + -10. Suppose 2*u - 2 = z. Calculate the remainder when 2 is divided by u. 0 Suppose -10 = 2*q - 34. What is the remainder when q is divided by 8? 4 Let g = -6 - -9. What is the remainder when ((-21)/12)/((-2)/40) is divided by -4 - -1 - -5*g? 11 Let g = -20 - -34. What is the remainder when 37 is divided by g? 9 Suppose -3*o - 4*u + 28 + 7 = 0, -3*o = 5*u - 37. What is the remainder when 42 is divided by o? 6 Let a(f) = f + 9. Let v be a(-4). Calculate the remainder when (-112)/(-3) - v/15 is divided by ((-13)/4)/(1/(-4)). 11 What is the remainder when (1 + -2)*(-15 + -3) is divided by 7? 4 What is the remainder when 87 is divided by 4/(-5) + 1 - (-74)/5? 12 Let v be 1 - (-3 + (2 - -2)). Let j(a) = -a**3 + a**2 + 85. What is the remainder when j(v) is divided by 22? 19 Let i = -13 - -29. What is the remainder when 47 is divided by i? 15 Suppose 46 = -5*i + 166. What is the remainder when i + -1 + (-1 - 0) is divided by 6? 4 Let j be (0 - (3 + -4)) + 241. Suppose -183 = -3*d + 2*m, d + 3*d = 2*m + j. Calculate the remainder when d is divided by 15. 14 Let r be 2*(5/(-2))/(-5). Suppose 2*y + r = 23. What is the remainder when 20 is divided by y? 9 Let y(u) = 77*u**3 + u**2 - u. Let b be y(1). Let l be 2/(-8) - (-405)/(-12). Let p = b + l. What is the remainder when p is divided by 15? 13 Let q(r) be the first derivative of -7*r**2/2 + 5. Calculate the remainder when q(-1) is divided by 2. 1 Suppose 23 = 27*r - 26*r. Calculate the remainder when r is divided by 9. 5 Let u be (4/(-10))/((-3)/(-45)). What is the remainder when 53 is divided by (0 + u)/(2/(-6))? 17 Suppose -6*d + 4*d - 3*c + 17 = 0, -67 = -4*d + 5*c. Suppose 4*i - 7*i - 5*y = 16, 0 = -i + 2*y + d. Calculate the remainder when 11 is divided by i. 2 Suppose g - u - 5 = -3*u, -5*g = 3*u - 25. Let h = 8 - g. Suppose -b + 21 = -h. Calculate the remainder when b is divided by 9. 6 Suppose -50 = -w - 3*k, 3*w - 3*k = -31 + 121. What is the remainder when 135 is divided by w? 30 Let m be (-16)/(1/(-7)*1). Suppose m = 4*k + 2*d - 3*d, -5*d = -2*k + 56. Calculate the remainder when k is divided by 15. 13 Suppose 5*p = 9*p - 40. What is the remainder when 26 is divided by p? 6 Suppose 11 = -3*a + 197. Calculate the remainder when a is divided by 13. 10 Let x(f) = -f + 1. Let j be x(-2). Suppose 0 = -j*y - y + 52. Suppose -i = -3 - 2. What is the remainder when y is divided by i? 3 Let x(z) = 2*z - 7. Let q be x(6). Suppose 0 = q*d + 5*s - 80, -d = -2*s - 24 + 2. Suppose -10*i = -4*i - 312. Calculate the remainder when i is divided by d. 16 Let j(a) = -a**2 + a + 18. Let d(h) = -h + 5. Let r be d(0). Let s = r + 0. What is the remainder when j(0) is divided by s? 3 Suppose -3*j = -7*j + 72. What is the remainder when -3 - (-6)/4*24 is divided by j? 15 Suppose -k - 9 = 5*b, b + 0*b + 4 = 0. What is the remainder when 43 is
{ "pile_set_name": "DM Mathematics" }
) = -133*i**2. Let s(b) = -200*b**2. Give 8*r(n) - 5*s(n). -64*n**2 Let y(r) be the second derivative of -r**3/6 + r**2 + 17*r. Let a(c) = -c + c + 3 - c. Give 4*a(u) - 5*y(u). u + 2 Let d = 12 - 22. Let v be d/(-45) + 168/(-27). Let n(k) = 5*k + 1. Let x(j) = -9*j - 2. Calculate v*x(l) - 11*n(l). -l + 1 Let w(a) = -2*a**2 + 8. Let y(t) = t**3 - 10*t**2 - 10*t - 5. Let i be y(11). Let p(l) = -1. Calculate i*p(h) + w(h). -2*h**2 + 2 Let h(n) = -n - 1. Let w(k) = -k**2 + 34*k + 5. What is 5*h(c) + w(c)? -c**2 + 29*c Let m(a) = -3*a - 9. Let d(t) be the third derivative of 1/6*t**4 + 13/6*t**3 - 3*t**2 + 0*t + 0. Calculate -5*d(u) - 7*m(u). u - 2 Let f(b) be the first derivative of 4*b**3/3 - 2*b**2 - 1. Let a = 10 + -5. Let h(r) = r - 10*r + 1 + 7*r**2 + 2*r**2. What is a*f(m) - 2*h(m)? 2*m**2 - 2*m - 2 Let b(n) be the first derivative of n**2 + 2*n + 1. Let a(o) = -2*o - 2. Suppose 3*k + 1 = -3*x + 19, 0 = 5*k + x - 14. Give k*a(q) + 3*b(q). 2*q + 2 Let d(q) = -4*q**2 + 5*q - 7. Let l(n) = -3*n**2 + 3*n - 5. Calculate 5*d(a) - 7*l(a). a**2 + 4*a Let u(l) = -9*l + 11. Let d(p) = -6 + 3*p + 0 + 0*p + 2*p. Determine 11*d(z) + 6*u(z). z Let x(h) = -6*h**2 - 3*h + 7. Let n(f) = 7*f**2 + 4*f - 8. Let w be (9/(-2))/(9/12). Calculate w*x(z) - 5*n(z). z**2 - 2*z - 2 Let y(n) = n + 9. Let l be y(-8). Let x(u) = -4. Let r(a) = 1. Let q(z) = -5*r(z) - x(z). Let k(i) = i + 4*i**2 - 2*i**2 - 1 + 0. Calculate l*k(j) - 2*q(j). 2*j**2 + j + 1 Let p be (-2)/(-18) + 0 - 259/63. Let y(m) = -m**2 - 4*m - 8. Let x(t) = -t - 1. Calculate p*x(o) + y(o). -o**2 - 4 Let i(x) = 5*x**3 + 8*x**2 - 3*x - 6. Let r(c) = 2*c**3 + 3*c**2 - c - 2. Suppose 0 = -f - 18 + 15. What is f*i(s) + 8*r(s)? s**3 + s + 2 Let r(w) = -4*w - 1. Suppose -15 = -4*n + 17. Let v(b) = 11*b + 2. What is n*r(i) + 3*v(i)? i - 2 Let i(t) = -5*t - 2. Let y(f) = 6*f + 3. Let d(o) = 2*o - 5. Suppose -c = 3*c - 16. Let a be d(c). Give a*y(b) + 4*i(b). -2*b + 1 Let a(t) = 3*t - 1. Let c be 13 - 0 - 4/(-2). Let w be 2/3*c/(-10). Let f(s) = s. Calculate w*a(z) + 2*f(z). -z + 1 Let g(q) = q**2 - 2*q - 13. Let c(s) = s + 1. Determine 2*c(t) + g(t). t**2 - 11 Let m(r) be the third derivative of -11*r**5/60 - 7*r**4/24 + 3*r**3/2 - r**2. Let b(g) = -5*g**2 - 3*g + 4. Determine 9*b(l) - 4*m(l). -l**2 + l Let d(r) = -18 + 4 + 12 + 4. Let a(n) = -n. What is -a(x) + d(x)? x + 2 Let p(r) = r + 2. Let t(v) = v**2 - 4*v. Let n be t(5). Let w = 34 - 30. Let f(x) = -x - 2. What is n*p(j) + w*f(j)? j + 2 Let r(b) = 3*b**2 + 2*b. Let g(p) = -p**2 - p + 1. What is g(h) + r(h)? 2*h**2 + h + 1 Let p(i) = i**3 - 5*i**2 + 5. Let b be 19/2 + 1/(-2). Let c = 5 - b. Let o(l) = l**3 - 4*l**2 + 4. Calculate c*p(u) + 5*o(u). u**3 Let u(k) = k + 5. Let b(t) = -2*t - 9. Let q(h) = -4*b(h) - 7*u(h). Let w(d) = -d - 1. Let n be (2/(-4)*18)/(3/2). Give n*w(y) - 4*q(y). 2*y + 2 Let z(k) = -14 + 19 + k + 4*k. Let x(o) = 1. Calculate -5*x(c) + z(c). 5*c Let b(n) = 2*n**2 + 4*n + 2. Let s be ((5 - 4) + 2)*1. Let m(c) = c**2 + 3*c + 1. Calculate s*b(g) - 4*m(g). 2*g**2 + 2 Let o(y) = y. Let q(v) = -5*v. Let c(u) = 81*u. Let n(w) = 4*c(w) + 66*q(w). Let p(b) = b**2 - 4*b - 5. Let l be p(4). Let t = 8 - 9. Calculate l*o(d) + t*n(d). d Suppose 0*f + f - 3 = -3*i, 3*f = -3*i + 3. Let t(a) = -2*a - 4. Suppose -7*m + 2*m - 5*y = 40, -20 = 5*y. Let o(v) = -v - 1. Give i*t(n) + m*o(n). 2*n Let z(i) = 4*i**3 - i - 3. Let h(a) = -a**3 + a + 1. Calculate 6*h(v) + 2*z(v). 2*v**3 + 4*v Let q(r) be the third derivative of -4*r**5/15 - r**4/24 + r**3 + r**2. Suppose -2*h = 14 - 2. Let t = 5 - h. Let l(z) = 3*z**2 - 1. Calculate t*l(g) + 2*q(g). g**2 - 2*g + 1 Let q(d) = -9*d**3 - 11*d**2 - 2*d + 11. Let c(s) be the second derivative of -s**5/4 - s**4/2 - s**3/6 + 3*s**2 + 59*s. Calculate 11*c(m) - 6*q(m). -m**3 + m Let i(y) = -6*y**3 - 14*y**2 + 6. Let n(o) = -2*o**3 - 5*o**2 + 2. Calculate 6*i(a) - 17*n(a). -2*a**3 + a**2 + 2 Let r(s) = 5*s**2 - s. Let f(z) = 81*z**2 - 21*z - 22. Let g(o) = 16*o**2 - 4*o - 4. Let h(w) = 2*f(w) - 11*g(w). What is -4*h(a) - 11*r(a)? a**2 + 3*a Let s = -3 + 5. Let t(p) = 3*p**2 + 2*p. Let m(x) = -10*x**2 - 7*x. Let o = -182 - -189. Determine o*t(b) + s*m(b). b**2 Let u(m) = -3*m**2 - 5*m + 3. Suppose 0 = 4*k + 2*k + 24. Let o(d) = -4*d**2 - 6*d + 3. What is k*o(a) + 5*u(a)? a**2 - a + 3 Let j(f) = -f**2 + f. Let q(y) = y - 6. Let h be q(6). Suppose -2*o = 3*w - h*w + 5, 5*o = -2*w + 15. Let m(c) = -c**3 + 5*c**2 - 6*c. Give w*j(g) - m(g). g**3 + g Let l(k) = -k**3 + k**2 + k - 1. Let g(n) = 7*n**3 + 2*n**2 + 2*n - 1. Determine -g(m) + 2*l(m). -9*m**3 - 1 Let v(u) = -9*u - 4. Let p(z) be the third derivative of z**4/3 + z**3/2 - 20*z**2. Determine 6*p(f) + 5*v(f). 3*f - 2 Let t(w) = 5*w**3 + 4*w + 4. Let q(z) = 11*z**3 + 9*z + 9. What is -4*q(v) + 9*t(v)? v**3 Let x(y) = -2*y + 35. Let i(b) = 3*b - 70. What is 3*i(a) + 5*x(a)? -a - 35 Let d(w) = -w**2. Let o(i) = 14*i**3 - 4*i**2 - 2*i. Calculate -5*d(s) + o(s). 14*s**3 + s**2 - 2*s Let a(o) = -6*o**2 - o. Let x(t) = 17*t**2 + 4*t. Let u(j) = -11*a(j) - 4*x(j). Suppose -4*v + 10 + 2 = 0. Let c(n) = -3*n**2 - 9*n. Give v*c(r) - 5*u(r). r**2 - 2*r Let c(p) = 9*p**2 + 8*p + 17. Let d(f) = -3*f**2 - 3*f - 6. Give -3*c(m) - 8*d(m). -3*m**2 - 3 Let d(w) = 2*w**3 - 6 + 2*w**2 + w - w - 5*w. Let f(b) be the third derivative of -b**6/60 - b**5/30 + b**4/4 + 7*b**3/6 - b**2. Give 7*d(o) + 6*f(o). 2*o**3 + 2*o**2 + o Let h(b) be the first derivative of -2*b**2 + 5*b - 2. Let i be -4 + (5 - 1) - 4. Let n(w) = 5*w - 6. Determine i*h(l) - 3*n(l). l - 2 Let g(d) = -2*d - 12*d**2 - 7*d - 3*d - 10 - 22*d**3. Let f(l) = -9*l**3 - 5*l**2 - 5*l - 4. Suppose 6 = 3*w + 3. Let h = w - 6. Give h*g(a) + 12*f(a). 2*a**3 + 2 Let p(d) = d + 1. Let x = 0 - -4. Let f(v) = -3*v - x - 2 - 4*v + 0*v. Calculate f(m) + 5*p(m). -2*m - 1 Let n = -46 + 64. Let z(f) = 4*f**3 + 9*f - 9. Let o be (8/12)/((-2)/(-9)). Let w = o + 1. Let x(c) = -c**3 - 2*c + 2. Determine n*x(g) + w*z(g). -2*g**3 Let m(k) = 148*k**2 + 7*k + 7. Let q(g) = 99*g**2 + 5*g + 5. Give -5*m(p) + 7*q(p). -47*p**2 Let f(x) = 9*x + 5. Suppose 0 = -2*a - 47 + 25. Let u(b) = -5*b - 3. Give a*u(l) - 6*f(l). l + 3 Let g(f) = -4*f**2 + 17*f - 9. Let x(r) = -2*r**2 + 8*r - 4. What is 2*g(a) - 5*x(a)? 2*a**2 - 6*a + 2 Let w(z) = -21*z + 2. Let b(f) = f. Determine -4*b(c) + w(c). -25*c + 2 Let j(b) = -9*b + 9. Let x(y) = 18*y - 17. Let o(l) = 5*j(l) + 3*x(l). Let h(v) = 8*v - 5. Calculate -5*h(s) + 4*o(s). -4*s + 1 Let t = -88 + 91. Let g(f) = 13*f. Let s(j) = -7*j. Give t*g(d) + 5*s(d). 4*d Let c(h) = -19*h**2 - 5. Let p(m) = 58*m**2 + 16. Determine -16*c(k) - 5*p(k). 14*k**2 Let a(y) = -2*y + 0 - 1 + 6. Let g(d) = 2*d - 4. Let c = 5 + 0. Let q(i) = 5*i + 14. Let h be q(-2). Calculate c*g(v) + h*a(v). 2*v Let r(h) = -h - 1. Let q(z) = -z + 9. What is -q(c) - 4*r(c)? 5*c - 5 Let l(p) = -p**2 - p - 3. Let a(v) = 2*v**2 + 4. Let s(b) = 2*a(b) + 3*l(b). Let c(f) = 1. Calculate c(m) + s(m). m**2 - 3*m Let a(r) = -r**2. Let b be 2*((-3)/3 - -4). Let z(f) = -5*f**2 + 2. Suppose -4*p - 2 = 2. Determine b*a(l) + p*z(l). -l**2 - 2 Let k be (8/(-12))/(2/(-90)). Let d = k - 19. Suppose 0 = -n + d. Let v(z) = z - 16. Let o(x) = -3. Determine n*o(t) - 2*v(t). -2*t - 1 Let a(x) = x**2 - x. Let j = -4 + 2. Let y(q) = 433 - 213 - 220 - 4*q + 4*q**2. Calculate j*a(w) + y(w). 2*w**2 - 2*w Let z(t) = 1. Let f(y) = 2*y - 6. Let x(b) = -b**3 - 9*b**2 - 9*b - 9. Let i be x(-8). Give i*f(m) - 6*z(m). -2*m Let x(f) = 3*f + 6. Suppose -v = -3*v, v = -2*j + 8. Let h(y) = 7*y + 13. Calculate j*h(a) - 9*x(a). a - 2 Let x = 76 - 72. Let a(k) = -3*k + 2. Let q(o) = 6*o - 4. Determine x*q(v) + 7*a(v). 3*v - 2 Let w(g) = -2*g - 9. Let j be w(-4). Suppose 16 = 4*z - 8. Let f(v) = -z*v + 4*v + v. Let y(t) = 2*t. Give j*y(q) - 4*f(q). 2*q Let l(v) = v**2 + v - 1. Let y(a) = -8*a**2 - 13*a. Let d(q) = 6*l(q) + y(q). Let n(c) = -2*c**2 - 8*c - 7. Suppose 5*h + 7 = 42. What is h*d(t) - 6*n(t)? -2*t**2 - t Suppose 0 = -0*l - l + 6. Let g(y) = y**2 + 5*y + 6. Let j(u) = -u**2 - 4*u - 5. Calculate l*j(q) + 5*g(q). -q**2 + q Let z(k) = -k**3 - k**2 - k + 1. Let n(t) = t**3 - 4*t**2 + 2. Determine -n(q) + 2*z(q). -3*q**3 + 2*q**2 - 2*q Let z(c) = 3*c + 0*c - 2*c**2 + 3 + 3*c**2 + 2. Let p(q) = 2
{ "pile_set_name": "DM Mathematics" }
*j - k*j**2 + 3*j + 0*j**2 - 28*j. Let r(y) = -4*y**2 - 2*y. Calculate -3*m(w) + 4*r(w). -4*w**2 - 2*w Let y(k) = -161*k**2 - 35*k. Let h(o) be the third derivative of -3*o**5/10 - o**4/6 - 373*o**2. What is -35*h(p) + 4*y(p)? -14*p**2 Let u(b) be the first derivative of 3*b**3 + 5*b**2/2 - 5*b - 12. Suppose -3*j = 3*q - 3, -3*q - 2*j = 3*j + 5. Let t(v) = v**2 + v - 1. Give q*t(l) - u(l). -4*l**2 Let u(x) = 24*x + 14. Let t(d) be the third derivative of -9*d**4/8 - 19*d**3 + 3*d**2 + 3*d. Let m be t(-4). Let r(g) = -5*g - 3. Determine m*u(a) - 28*r(a). -4*a Let k(o) = 3*o**2 - 70*o - 51. Let j be k(24). Let h(n) = -44*n**2 - 5*n. Let u(x) = 22*x**2 + 3*x. Calculate j*h(y) - 5*u(y). 22*y**2 Let m(g) = g**3 + 2*g**2 - 4*g - 1. Let v(j) = 9*j**3 - 1034*j**2 - 28*j - 7. Determine 7*m(i) - v(i). -2*i**3 + 1048*i**2 Let c = 343 + -351. Let l(j) be the first derivative of -j**4/4 - j**2/2 - j + 242. Let n(b) = -10*b**3 - 8*b - 16. Determine c*l(x) + n(x). -2*x**3 - 8 Let o(x) = -8*x**3 - 7*x**2 + 7. Let f(p) = -17534*p**3 + p**2 - 1 + 8767*p**3 + 8768*p**3. What is -21*f(l) - 3*o(l)? 3*l**3 Let h(x) = 26*x + 5. Let u(b) = -b + 1. What is 2*h(q) - 6*u(q)? 58*q + 4 Let c(y) = -15*y**2 - 14*y + 1637. Let r(z) = 2*z**2 + 2*z + 2. Determine c(q) + 7*r(q). -q**2 + 1651 Let u(v) = 15*v**2 - 8*v. Let b = 765 + -773. Suppose 0 = -5*m, -20 + 8 = 4*z - m. Let d(x) = -5*x**2 + 3*x. Calculate b*d(s) + z*u(s). -5*s**2 Let y(t) be the first derivative of -t**2/2 + 19*t - 765. Let w(z) = 2*z - 19. Calculate 3*w(g) + 4*y(g). 2*g + 19 Let d(i) = 10 - 10*i - 7 + 6*i + 0*i + 5. Let x(l) = 2*l - 4. Determine -2*d(c) - 5*x(c). -2*c + 4 Let h(y) = -18*y**2 - 155*y - 6. Let b(a) = 3*a**2 + 26*a + 1. What is -13*b(z) - 2*h(z)? -3*z**2 - 28*z - 1 Let l(u) be the first derivative of -u**4/2 + 2*u**3/3 + 5*u**2/2 - 5*u + 1680. Let o(f) = -f**2 - f + 1. Calculate -l(s) - 2*o(s). 2*s**3 - 3*s + 3 Let q(o) = -15*o**2 - 5. Let p(k) = -125*k - 496. Let h be p(-4). Let g(i) = -14*i**2 - 4. Give h*q(d) - 5*g(d). 10*d**2 Let m(i) = 4 - 76*i - 78*i + 315*i - 77*i + 18*i**2 - 80*i. Let x(j) = -36*j**2 - 9*j - 9. Calculate 9*m(o) + 4*x(o). 18*o**2 Let j(h) = -h**2 + 1150. Let z(x) = x**2 - 2298. Calculate -7*j(f) - 4*z(f). 3*f**2 + 1142 Let w(z) be the second derivative of -5*z**3/6 - z**2/2 - 2*z - 181. Suppose 3*y = 2*r + 13, -r + 4*y = 2*y + 5. Let d(u) = 9*u + 2. Determine r*w(h) - 6*d(h). h - 1 Let l be (518/(-111))/((-14)/12). Let b(a) = -8 - l - 7 - 3 + 21. Let v(c) = -2*c + 4 - 2 + c. What is -2*b(s) - v(s)? s Let t be (-2 - -6)/(-4) - 0. Let j(l) = 3*l. Let a(b) = 6*b - 1. Let z(w) = t*a(w) + j(w). Let p(q) = -q. Give p(r) + z(r). -4*r + 1 Let v(x) be the second derivative of x**2 + 158*x + 0 + 1/20*x**5 - 5/6*x**3 - 1/6*x**4. Let q(z) = z**2 + z. Give -2*q(s) - v(s). -s**3 + 3*s - 2 Let v be -1*4*-3 - 1. Let q(c) = 7*c**3 + 11*c**2 + 21*c - 13. Let h(u) = 6*u**2 - 7 - 1687*u**3 - 1695*u**3 + 3386*u**3 + 11*u. Calculate v*h(z) - 6*q(z). 2*z**3 - 5*z + 1 Let n(m) = 727*m + 266. Let q(s) = 182*s + 68. Give 6*n(t) - 23*q(t). 176*t + 32 Let m(r) = -r - 1. Let z(s) = 21*s + 12. Let b(u) = 15*m(u) + 3*z(u). Let l(d) = 7*d + 3. Let p be (-70)/(-20) - 1/(-2). Give p*b(f) - 27*l(f). 3*f + 3 Let x(g) = -25*g + 8. Let b(w) = -8*w + 3. Let j(y) = -8*b(y) + 3*x(y). Let q(c) = 23*c. Suppose 32 = 148*s - 156*s. Give s*q(p) - 9*j(p). 7*p Let n(r) = 3*r. Let v(m) = -4*m. Suppose -2 = 2*g - 3*g. Let k be 3/2 + 40 + (-4466)/116. Give g*n(w) + k*v(w). -6*w Let n(b) = 8*b**3. Let r(x) = 3*x**3. Suppose -287 = 2*f + 3*l, -257 = -0*f + 2*f - 3*l. Let g = -123 - f. Suppose -7 = -5*d + g. Calculate d*n(j) - 11*r(j). -j**3 Let l(x) = 8*x**2 + 10*x - 7. Let m(t) = 15*t**2 + 21*t - 17. Determine -11*l(r) + 6*m(r). 2*r**2 + 16*r - 25 Let b(w) = w**2 - 12*w + 7. Let f = -1190 - -1195. Let u(t) = t**2 - 13*t + 8. Determine f*u(c) - 6*b(c). -c**2 + 7*c - 2 Suppose 155 - 299 = -24*q. Let u(c) = -7*c - 3. Let l(a) = 6*a + 2. Give q*l(z) + 4*u(z). 8*z Let r(s) = -8*s**3 - 2*s**2 + 32*s + 7. Let b(p) = 34*p**3 + 7*p**2 - 149*p - 29. Calculate -2*b(v) - 9*r(v). 4*v**3 + 4*v**2 + 10*v - 5 Let t(r) be the second derivative of 5*r**3 + 1210*r. Let y(s) = -29*s. Determine 2*t(v) + 3*y(v). -27*v Let s(n) = -2*n**2 + n + 2. Let g(w) = 1364*w**2 - 220*w - 440. What is 2*g(v) + 440*s(v)? 1848*v**2 Let v(k) = -1409274*k**2 - 2655*k + 2655. Let q(h) = -1062*h**2 - 2*h + 2. What is -5310*q(r) + 4*v(r)? 2124*r**2 Let f(d) = -2*d**2 - 2*d + 1. Let q(t) = -8*t**2 + 92*t - 5. Determine -3*f(i) + q(i). -2*i**2 + 98*i - 8 Suppose -2*o = -5*f + 18, -4*o + 2*f = -895 + 915. Let n(m) = -6*m**3 - 5*m**2 + 4*m + 3. Let z(v) = -v**3 - v**2 + v + 1. What is o*z(d) + n(d)? -2*d**3 - d**2 - 1 Let f(t) = 4*t**3 - 4*t**2 + 8*t - 26. Let k be f(2). Let h(d) = 8*d**3 - 2*d - 2. Let w(u) = -8*u**3 + 3*u + 3. Calculate k*h(x) + 4*w(x). 16*x**3 Let n(f) = 9*f - 2 + f**2 + 0 + 15*f - 23*f + 3. Let l(u) = 12*u**2 + 4*u + 2 - 9*u**2 + 1. Determine l(p) - 5*n(p). -2*p**2 - p - 2 Let w(n) = 18*n**3 + 41*n**2 + 79*n - 17. Let y(z) = -6*z**3 - 14*z**2 - 27*z + 6. Calculate -6*w(j) - 17*y(j). -6*j**3 - 8*j**2 - 15*j Let m(r) = -5*r + 13*r - 9 + 12 - 1. Let p = -244 - -420. Let j = 183 - p. Let v(i) = -7*i - 2. Calculate j*v(z) + 6*m(z). -z - 2 Let u(o) = 281*o**2 - 99*o + 1. Let t(h) = -102*h**2 + 33*h. Give 11*t(s) + 4*u(s). 2*s**2 - 33*s + 4 Let r(b) = -8*b**2 + 1. Let y(v) = -v**2 + 1. Let m(j) = j**2 - 25*j - 55. Let f(a) = 2*a**2 + 5*a - 6. Let o be f(3). Let l be m(o). What is l*y(w) + r(w)? -7*w**2 Let r(q) be the first derivative of 11*q**4/4 + 5*q**3/3 - 3*q**2/2 - 252. Let s(p) = -17*p**3 - 7*p**2 + 4*p. Calculate -7*r(u) - 5*s(u). 8*u**3 + u Let q(s) be the second derivative of 5*s**4/6 - 2*s**3/3 + s**2/2 - 3981*s. Let f(i) = 10*i**2 - 3*i + 1. Determine -4*f(b) + 3*q(b). -10*b**2 - 1 Let v(q) = -6*q**2 + 10*q. Let j(d) = -2*d**2 + 3*d. Suppose 11*l = l + 8*l - 8. Calculate l*v(b) + 11*j(b). 2*b**2 - 7*b Let v(n) = n + 1. Let f(u) = 1. Suppose -100*r = -95*r + 15, -4*m - 4*r = 32. Give m*f(a) - v(a). -a - 6 Let d(c) = -47*c**2 + 4*c + 23. Let z(m) = -49*m**2 + 5*m + 25. What is -5*d(v) + 4*z(v)? 39*v**2 - 15 Let n(f) = 18*f**2 - 3*f + 13. Let o(l) = -77*l**2 + 13*l - 52. Let i(p) = -13*n(p) - 3*o(p). Let m(x) = -2*x**2 - 12. Calculate -3*i(k) + 4*m(k). k**2 - 9 Let u(p) = -1529*p - 7. Let n(y) = 6187*y + 26. What is -6*n(t) - 22*u(t)? -3484*t - 2 Let z(q) = -2*q - 3. Let w = -35 - -43. Let c be -2 + 39 - (2 - (-3 + w)). Let m = c + -42. Let t(g) = -6*g - 10. Determine m*t(h) + 7*z(h). -2*h - 1 Let x(j) = -8*j**3 + 7*j**2 + 2*j + 490. Let w(q) = 7*q**3 - 6*q**2 - 2*q - 489. Calculate -7*w(f) - 6*x(f). -f**3 + 2*f + 483 Let h(x) be the first derivative of 10*x**3/3 + 2*x**2 + 8*x + 1124. Let o(s) = -s - 1. What is -h(b) - 6*o(b)? -10*b**2 + 2*b - 2 Let h(c) = 2*c**2 - 10*c - 3. Let n(l) = -5*l**2 + 30*l + 7. Give -8*h(t) - 3*n(t). -t**2 - 10*t + 3 Let l(z) = -264*z**3 + 32*z**2 + 32*z - 32. Let x(r) = -24*r**3 + 3*r**2 + 3*r - 3. Let a = -6803 - -6835. Calculate a*x(n) - 3*l(n). 24*n**3 Let n(f) = 133*f**3 + 2*f + 6. Let z(v) = -267*v**3 - 10*v - 15. Determine 5*n(j) + 2*z(j). 131*j**3 - 10*j Let w(d) = -3*d**2 - 16*d + 356. Let b(v) = 3*v**2 + 14*v - 357. Determine -7*b(u) - 6*w(u). -3*u**2 - 2*u + 363 Let u(x) = -6*x**2 - 2*x + 2. Let t(q) = 113*q**2 + 9*q - 9. Determine t(y) + 5*u(y). 83*y**2 - y + 1 Let j(h) = 8*h**2 - 6*h + 6. Suppose -2*c - o = -7, -216*c + 217*c - 5*o - 31 = 0. Let z(l) = 63*l**2 - 49*l + 49. Calculate c*z(x) - 49*j(x). -14*x**2 Let f = -417 + 504. Suppose 7*x = -f + 94. Let k(s) = -5*s. Let d(b) = -b + 1. What is x*k(j) - d(j)? -4*j - 1 Let n(w) = -2*w**3 + 12*w**2 - 20*w - 3. Let t(z) = 2*z**3 - 10*z**2 + 21*z + 2. What is 5*n(b) + 6*t(b)? 2*b**3 + 26*b - 3 Let d(z) = -8*z + 1. Suppose -2*c + 35 = -5*i + 2, -4*i = -c + 18. Let h(v) be the first derivative of 7/2*v**2 - v + c. Calculate -6*d(w) - 7*h(w). -w + 1 Let o(w) be the first derivative of w**4/2 + 13*w**3/3 - 9*w**2/2 + 915. Let k(u) = -u**3 - 9*u**2 + 6*u. What is -8*k(z) - 5*o(z)? -2*z**3 + 7*z**2 - 3*z Let o(v) = 11. Let x(h) = 4*h**2 - 8*h - 67. What is -6*o(k) - x(k)? -4*k**2 + 8*k + 1 Let p(q) = 9*q + 7. Let m = 8 - 4. Let x(j) be the first derivative
{ "pile_set_name": "DM Mathematics" }
) = -50*p + 10. Let a be 8/(-6)*(-18)/12. Suppose -l = a*h - 21, 7*h - 58 = 2*h + 3*l. Let w be x(h). What is w rounded to the nearest 100? -500 Let z = 0.0628741 + -543152.0628741. Let y = z - -543150.9999944. Let k = y - -1. What is k rounded to 6 decimal places? -0.000006 Let y = 0.4 - 1. Let j = y + -2.4. Let k = j + 3.00084. What is k rounded to 4 decimal places? 0.0008 Let s = 3 + 0. Suppose v - 5*p = -8, -3*v + s*p + 26 = 2*v. Let w(q) = -q**3 + 7*q**2. Let a be w(v). Round a to the nearest ten thousand. 0 Suppose c + 1 = 6. Let r be ((-14)/5)/(c/1250). Round r to the nearest one hundred. -700 Let m = -445 + 442.43. Let q = 2.5559 + m. What is q rounded to three decimal places? -0.014 Let a = 24 - 25.52. Let o = -0.66 - a. What is o rounded to one dp? 0.9 Let i(g) = g**3 + g**2 - 5. Suppose 1 = -2*o + 3*h, 4*o + 3*h - 7*h - 4 = 0. Let r be i(o). Round r to the nearest ten. 80 Let n = -4417.948 - -4428. Let v = n - 10. Let a = 0.08 - v. Round a to 2 dps. 0.03 Let k be ((-8)/(-6) + -1)*6. Suppose 0 = x - k*x - 580. Round x to the nearest 100. -600 Let b = -21 - -20.8. What is b rounded to 0 decimal places? 0 Suppose 2*g + 10 = 0, -g = -2*y + 2*g + 15. Let a(l) = l**3 - l**2 - l - 810. Let t be a(y). What is t rounded to the nearest one hundred? -800 Suppose 5*a - 2062 = 23. Round a to the nearest ten. 420 Let p = -1 - 27. Let o = -6574.8986 + 6602.898587. Let y = o + p. What is y rounded to five dps? -0.00001 Suppose -2*c - 10480 = -c + 5*v, c + 2*v + 10492 = 0. Round c to the nearest one thousand. -11000 Let o(l) = l**2 - 2*l. Let y be o(3). Suppose 4*q - 126 = -22. Suppose -q = y*j - z, 0*j + 3*z - 50 = 5*j. What is j rounded to the nearest ten? -10 Let h = 1 + -1.00048. What is h rounded to four dps? -0.0005 Let x be (400/1)/(1/7). Suppose -6*h + 2*h = x. Round h to the nearest 1000. -1000 Let k = -512.350041 + 512.3. Let z = 0.05 + k. What is z rounded to 5 decimal places? -0.00004 Let v = 198 - 71. Let s = 74 - v. Let q = -53.41 - s. What is q rounded to 1 dp? -0.4 Let w = -7.14 - -7. Let v = w - -0.14105. What is v rounded to four dps? 0.0011 Let v = 0.142 - 0.14199845. What is v rounded to 7 dps? 0.0000016 Let i = 19.9175 + -16.92. Let k = i - 3. What is k rounded to 3 decimal places? -0.003 Let p = 33 - 13. Let l be 62000008/p - 4/10. What is l rounded to the nearest one million? 3000000 Let m(v) = -2*v - 17. Let k be (-605)/44 - (-6)/8. Let y be m(k). Round y to the nearest integer. 9 Let o = 10.8 - -0.2. Let l = 11.0288 - o. Round l to three decimal places. 0.029 Let x = 111 + -110.999999362. Round x to seven decimal places. 0.0000006 Suppose 2*d - 4*z + 500 + 182 = 0, 2*d + z = -672. Round d to the nearest 10. -340 Suppose 0 = -2*z - 3*z + 14500. What is z rounded to the nearest one thousand? 3000 Let v(s) = -s**3 - 8*s**2 - s - 5. Let i be v(-8). Let z(q) = 3*q - q + 12 - i*q. Let m be z(8). What is m rounded to the nearest ten? 0 Suppose 315759 = 2*n + 1231759. What is n rounded to the nearest one hundred thousand? -500000 Let c(p) = p**3 - 4*p**2 + 1. Let m be c(4). Let b be 960003 - (1 - (-1 - m)). Round b to the nearest 100000. 1000000 Let y be -7834649 - (-3 - 24/(-4)). Let b(h) = 1265349*h + 1. Let g be b(-1). Let p = y + g. What is p rounded to the nearest 1000000? -9000000 Let y = 17 + -12. Suppose 0*q = y*q + 20, 188988 = -3*l + 3*q. What is l rounded to the nearest 10000? -60000 Let l = 3156769654.22 - 3165720721.21882. Let h = l - -8950993. Let b = 74 + h. Round b to 4 dps. 0.0012 Let f = 6 - 11. Let o = f - -7. Suppose -o*i + 106000 = -3*i. What is i rounded to the nearest ten thousand? -110000 Let z = -155 - -159.36. Let h = -4.359747 + z. Round h to five decimal places. 0.00025 Let t be 6/10 + (-34)/(-10). Suppose t*d + 838111 - 3318111 = 0. What is d rounded to the nearest one hundred thousand? 600000 Let c be -2*2/(-4) - -9095560. Let p be -5095563 + (-8 - -4) + 6. Let t = c + p. What is t rounded to the nearest one million? 4000000 Let g = 33 + -9. Let o = g - 24.0104. What is o rounded to three decimal places? -0.01 Let k = 14 + 46. Let g = 59.61 - k. Round g to 1 dp. -0.4 Suppose 28 = 2*j + 5*h + 9, 3*j + 5*h = 26. Suppose 5*v + 23 = -l - 6, 3*v + j = 2*l. Let p be (l/(-3))/(8/2340). What is p rounded to the nearest one hundred? 400 Let a(x) = -x**3 + 6*x**2 + 11*x - 2. Let c be a(8). Let t be (-7699)/(-7) + (-6)/c. What is t rounded to the nearest one hundred? 1100 Let h = 0 - 0.3. Let l = h - 0.7. Let c = -1.00001 - l. Round c to 4 dps. 0 Let c = -12265 + 12263.99996. Let h = 1 + c. Round h to 4 dps. 0 Let b = 45 - 44.999905. What is b rounded to five decimal places? 0.0001 Suppose -1742334 = -p + 112909. Let y = 434757 + p. Round y to the nearest 100000. 2300000 Let m(r) = r. Let z be 0 + (2 - -1) - 1. Let p be m(z). Let c be -1 + p/4*11402. Round c to the nearest one thousand. 6000 Let o = -12 - -8. Let a be 8951/o + (-2)/8. Let s be (a + -2)/((-4)/1250). Round s to the nearest one million. 1000000 Let o = -84.9 + 80. Let g = o - -4.871. What is g rounded to two decimal places? -0.03 Let z = 0.25736 + -145027.25736. Let b = z + 145024.59954. Let c = b + 2.4. What is c rounded to four dps? -0.0005 Let m = 272.54 + -269. Let h = 0.44 - m. What is h rounded to the nearest integer? -3 Let d = -3.65 - -4. Let h = d + 0.17. Round h to 1 dp. 0.5 Let s = 5.6 - 5. Let g = 0.0718164 + 0.5282056. Let r = s - g. What is r rounded to five dps? -0.00002 Let k = 2.6 - 3.9. Let n = -1.3000024 - k. What is n rounded to 6 decimal places? -0.000002 Let v = 9383303 + -16783303. What is v rounded to the nearest one million? -7000000 Let q = 22.61 + -23. Let k = -843.5 + 843.8883. Let h = k + q. Round h to 3 dps. -0.002 Let r = 18.2 - 18.1999887. What is r rounded to five decimal places? 0.00001 Let q(b) = -4*b**2 + 4*b + 5. Let x be q(-2). What is x rounded to the nearest 10? -20 Let b = 0.036 + 35.964. Let c = -36.0000039 + b. Round c to 6 dps. -0.000004 Suppose -2219000 = 5*q - 12*q. What is q rounded to the nearest 100000? 300000 Let i = -388 + 246. Let w = 142.0000178 + i. Round w to 6 dps. 0.000018 Let j = -0.01 - 0.25. Let x = j + 0.26007. What is x rounded to 5 dps? 0.00007 Suppose z - 45 = -l - 16, -153 = -5*l + 3*z. Round l to the nearest one hundred. 0 Let j = -35408 + 64408. What is j rounded to the nearest 10000? 30000 Let t = -13477.19998 - -13477. Let r = -9.8 - -10. Let b = t + r. Round b to four dps. 0 Let u = 1.8 - 1.764. Round u to 2 decimal places. 0.04 Let z = -42.9105 - -42.670489. Let c = -2 - -2.24. Let r = c + z. What is r rounded to five dps? -0.00001 Let a = 78 - 123. Let b = a + 40.2. What is b rounded to zero dps? -5 Suppose -4*z = -9*z. Suppose 0 = -z*p + 5*p - 60. Let a be 550*p*1100/33. Round a to the nearest 100000. 200000 Let b = 7 + -6.9. Let n = -0.09999982 + b. Round n to seven decimal places. 0.0000002 Let g = 6 + -10. Let x be g/(-18) - (-486002)/(-9). What is x rounded to the nearest ten thousand? -50000 Let y = -0.1 - 1.4. Let c = -2 - y. Let l = -0.49999 - c. Round l to 4 dps. 0 Let n = 238904497 - 238904751.999794. Let h = n + 255. Round h to 5 decimal places. 0.00021 Let q = 0.22 - 0.22000044. What is q rounded to seven decimal places? -0.0000004 Let o(y) = y**2 + y - 10. Let q be o(0). Let u be (24/q)/(21/(-350)). Round u to the nearest 100. 0 Suppose 0 = 6*y - 100289 - 38911. What is y rounded to the nearest one thousand? 23000 Suppose 0 = 5*y + 8 - 33. Suppose 2*d = -4, 0 = -y*t + 2*d + 2 + 2. Suppose t*s + 3*s + 11100 = 0. Round s to the nearest 1000. -4000 Let v = -17.39 - -15. What is v rounded to 1 dp? -2.4 Let w = -784.66575813 - 278853.89413387. Let a = w + 279638. Let o = 0.56 + a. Round o to 5 decimal places. 0.00011 Suppose -326 + 34 = -2*q. Suppose -5*i + t + q = -3*t, -2*i + 61 = t. Suppose 0 = -0*m + 5*m - i. What is m rounded to zero dps? 6 Let h = 607088.1101 - 607113. Let t = 24.9 + h. What is t rounded to three decimal places? 0.01 Let n(o) = 759*o**3 + 3*o**2 - 3*o - 12. Let h be n(4). Round h to the nearest 1000. 49000 Let g = 51.0525 + -51. Let c = -0.04 + g. Round c to three decimal places. 0.013 Let c = -8.06 - -0.06. Let f = c + 7.985. Let h = f + -0.02. What is h rounded to two decimal places? -0.04 Let t = -578355.2908 - -578460. Let d = t - -1.7608.
{ "pile_set_name": "DM Mathematics" }
divided by 54? 1 Calculate the remainder when 731 is divided by 240. 11 What is the remainder when 234 is divided by 85? 64 What is the remainder when 1630 is divided by 813? 4 Calculate the remainder when 209 is divided by 15. 14 What is the remainder when 225 is divided by 10? 5 Calculate the remainder when 2781 is divided by 6. 3 What is the remainder when 79 is divided by 33? 13 What is the remainder when 4541 is divided by 8? 5 Calculate the remainder when 163 is divided by 102. 61 Calculate the remainder when 3540 is divided by 97. 48 Calculate the remainder when 4403 is divided by 276. 263 What is the remainder when 10411 is divided by 76? 75 Calculate the remainder when 93 is divided by 61. 32 Calculate the remainder when 106 is divided by 55. 51 What is the remainder when 649 is divided by 17? 3 Calculate the remainder when 913 is divided by 443. 27 Calculate the remainder when 119 is divided by 25. 19 Calculate the remainder when 282 is divided by 15. 12 What is the remainder when 45 is divided by 16? 13 What is the remainder when 1028 is divided by 126? 20 Calculate the remainder when 5127 is divided by 38. 35 Calculate the remainder when 1762 is divided by 29. 22 What is the remainder when 570 is divided by 144? 138 What is the remainder when 162 is divided by 87? 75 What is the remainder when 131 is divided by 14? 5 What is the remainder when 7 is divided by 4? 3 Calculate the remainder when 4199 is divided by 42. 41 Calculate the remainder when 190 is divided by 13. 8 Calculate the remainder when 989 is divided by 124. 121 Calculate the remainder when 123 is divided by 33. 24 What is the remainder when 38 is divided by 8? 6 What is the remainder when 104 is divided by 65? 39 Calculate the remainder when 3304 is divided by 232. 56 Calculate the remainder when 57 is divided by 31. 26 What is the remainder when 2046 is divided by 16? 14 What is the remainder when 3027 is divided by 15? 12 Calculate the remainder when 107 is divided by 60. 47 Calculate the remainder when 423 is divided by 161. 101 Calculate the remainder when 2725 is divided by 248. 245 What is the remainder when 120 is divided by 27? 12 Calculate the remainder when 3643 is divided by 1211. 10 Calculate the remainder when 1951 is divided by 279. 277 Calculate the remainder when 318 is divided by 80. 78 What is the remainder when 857 is divided by 50? 7 Calculate the remainder when 2695 is divided by 332. 39 Calculate the remainder when 145 is divided by 15. 10 Calculate the remainder when 204 is divided by 14. 8 Calculate the remainder when 4975 is divided by 991. 20 What is the remainder when 195 is divided by 20? 15 Calculate the remainder when 508 is divided by 100. 8 What is the remainder when 1247 is divided by 50? 47 What is the remainder when 959 is divided by 9? 5 Calculate the remainder when 771 is divided by 4. 3 What is the remainder when 6072 is divided by 31? 27 What is the remainder when 260 is divided by 138? 122 Calculate the remainder when 1601 is divided by 100. 1 Calculate the remainder when 3039 is divided by 219. 192 What is the remainder when 219 is divided by 56? 51 What is the remainder when 632 is divided by 145? 52 Calculate the remainder when 843 is divided by 67. 39 What is the remainder when 46 is divided by 4? 2 What is the remainder when 79 is divided by 41? 38 What is the remainder when 62 is divided by 20? 2 What is the remainder when 419 is divided by 24? 11 Calculate the remainder when 48 is divided by 10. 8 Calculate the remainder when 701 is divided by 22. 19 What is the remainder when 3956 is divided by 3? 2 What is the remainder when 136 is divided by 20? 16 Calculate the remainder when 9293 is divided by 83. 80 What is the remainder when 908 is divided by 286? 50 What is the remainder when 1021 is divided by 245? 41 Calculate the remainder when 12861 is divided by 109. 108 Calculate the remainder when 415 is divided by 106. 97 What is the remainder when 389 is divided by 78? 77 Calculate the remainder when 5042 is divided by 41. 40 Calculate the remainder when 850 is divided by 12. 10 Calculate the remainder when 3082 is divided by 26. 14 What is the remainder when 4709 is divided by 30? 29 What is the remainder when 419 is divided by 14? 13 Calculate the remainder when 112 is divided by 13. 8 Calculate the remainder when 20905 is divided by 102. 97 What is the remainder when 738 is divided by 13? 10 What is the remainder when 3677 is divided by 46? 43 What is the remainder when 985 is divided by 32? 25 Calculate the remainder when 214 is divided by 104. 6 What is the remainder when 8 is divided by 3? 2 What is the remainder when 526 is divided by 33? 31 What is the remainder when 31108 is divided by 183? 181 Calculate the remainder when 345 is divided by 137. 71 What is the remainder when 208 is divided by 96? 16 What is the remainder when 129 is divided by 42? 3 What is the remainder when 735 is divided by 16? 15 Calculate the remainder when 73 is divided by 25. 23 Calculate the remainder when 133 is divided by 35. 28 What is the remainder when 6005 is divided by 91? 90 Calculate the remainder when 161 is divided by 88. 73 What is the remainder when 23 is divided by 10? 3 What is the remainder when 122 is divided by 67? 55 Calculate the remainder when 333 is divided by 30. 3 Calculate the remainder when 2078 is divided by 77. 76 Calculate the remainder when 462 is divided by 176. 110 What is the remainder when 64 is divided by 24? 16 Calculate the remainder when 426 is divided by 145. 136 Calculate the remainder when 431 is divided by 73. 66 Calculate the remainder when 106 is divided by 27. 25 Calculate the remainder when 458 is divided by 42. 38 Calculate the remainder when 449 is divided by 97. 61 Calculate the remainder when 240 is divided by 65. 45 Calculate the remainder when 187 is divided by 29. 13 Calculate the remainder when 1457 is divided by 297. 269 Calculate the remainder when 311 is divided by 308. 3 What is the remainder when 65 is divided by 24? 17 What is the remainder when 357 is divided by 52? 45 What is the remainder when 1539 is divided by 1515? 24 Calculate the remainder when 4369 is divided by 230. 229 Calculate the remainder when 10828 is divided by 172. 164 Calculate the remainder when 904 is divided by 229. 217 What is the remainder when 1005 is divided by 14? 11 What is the remainder when 55 is divided by 10? 5 What is the remainder when 1297 is divided by 59? 58 What is the remainder when 437 is divided by 143? 8 What is the remainder when 35789 is divided by 16? 13 Calculate the remainder when 77 is divided by 45. 32 Calculate the remainder when 197 is divided by 63. 8 What is the remainder when 175 is divided by 64? 47 What is the remainder when 46399 is divided by 29? 28 What is the remainder when 255 is divided by 86? 83 Calculate the remainder when 652 is divided by 44. 36 What is the remainder when 98 is divided by 35? 28 Calculate the remainder when 192 is divided by 20. 12 Calculate the remainder when 1547 is divided by 193. 3 Calculate the remainder when 687 is divided by 30. 27 Calculate the remainder when 506 is divided by 73. 68 What is the remainder when 226 is divided by 24? 10 Calculate the remainder when 9277 is divided by 160. 157 Calculate the remainder when 822 is divided by 55. 52 Calculate the remainder when 140 is divided by 12. 8 Calculate the remainder when 13330 is divided by 4440. 10 Calculate the remainder when 10514 is divided by 44. 42 Calculate the remainder when 350 is divided by 118. 114 Calculate the remainder when 18323 is divided by 123. 119 Calculate the remainder when 1920 is divided by 429. 204 Calculate the remainder when 748 is divided by 126. 118 What is the remainder when 598 is divided by 20? 18 Calculate the remainder when 93 is divided by 17. 8 What is the remainder when 74 is divided by 17? 6 Calculate the remainder when 6437 is divided by 174. 173 What is the remainder when 328 is divided by 19? 5 What is the remainder when 164 is divided by 153? 11 What is the remainder when 9084 is divided by 13? 10 What is the remainder when 1516 is divided by 253? 251 What is the remainder when 37 is divided by 22? 15 Calculate the remainder when 771 is divid
{ "pile_set_name": "DM Mathematics" }
+ 143. Let k(j) = 2*j**3 - 46*j**2 - j + 40. Let u be k(23). Calculate i(u). -10 Let o(q) = 15 - 35 + 9 + 7 - 18*q**2 + 9 + 22*q - q**3. Calculate o(-19). -52 Let b(i) be the first derivative of -i**3/3 - 35*i**2/2 - 236*i + 109. What is b(-26)? -2 Suppose 4*q - 44 - 16 = -3*b, -4*b = -4*q - 108. Let n(d) = b - 16 + 2*d**3 - 3*d**3. Calculate n(0). 8 Let f = 19350 - 19350. Let o(y) = -3*y + y + 3*y + 7. What is o(f)? 7 Suppose 8 = 2*u + 3*o, -4*o = -6*o. Let m(k) = -6 - 7*k - 8*k + 18*k - u*k + 0. Give m(0). -6 Let v be 1/(((-18)/5 - -4)/(84/30)). Let u(y) = -y**2 + 11*y - 17. What is u(v)? 11 Let d(j) = j + 2. Suppose 9*v - 31 = -4. Suppose 4*u = 4*q - 12, 2*u - 4*q + 16 = -v*u. Determine d(u). -2 Let j(b) = -8*b**3 + b**2. Let d = 243 + 263. Let u = -505 + d. Determine j(u). -7 Let y = 3826 - 22955/6. Let m(w) be the second derivative of 1/2*w**2 + 6*w + 0 + y*w**3. Determine m(6). 7 Let l = -92 + 144. Let n(c) = -18*c - 1 + l*c - 14*c - 17*c. Give n(2). 5 Let k(l) be the first derivative of 0*l**2 + 1/4*l**4 - 5*l - 5/3*l**3 + 211. Suppose -2*c + 36 = 5*i - 6*c, 0 = 5*c + 20. What is k(i)? -21 Let u(b) = 12*b**2 - 51*b - 11*b + b**3 + 11*b + 5*b + 30 + 10*b**2. What is u(-24)? -18 Let z(p) be the first derivative of -5*p**2 - 48*p + 1064. Determine z(-6). 12 Let t(c) = c**3 - 74*c**2 - 2*c + 174. Let p be t(74). Let u(y) = y**3 - 28*y**2 + 50*y + 55. What is u(p)? 3 Let y = 16344 - 16342. Let r(x) = 21 + x - 7*x**2 - 36 + 13. Determine r(y). -28 Let u(o) = -o**2 - 4*o - 4. Let a(c) = -c**2 + 2*c + 1. Suppose -5 + 21 = -16*f. Let z(w) = f*a(w) - u(w). Give z(-2). 7 Let i(l) = -l + 1. Let n(v) = 5*v - 12. Let r(o) = 2*o + 8. Let w be r(-1). Let y(h) = w*i(h) + n(h). Let k be y(-2). Let b(t) = t**2 + 5*t + 5. Determine b(k). 1 Suppose a + 2 = -24*b + 25*b, 0 = -b - a + 20. Let t(l) = -11*l + 81. Determine t(b). -40 Let x(v) be the third derivative of 1/15*v**5 + 84*v**2 + 0*v**3 + 0*v + 1/120*v**6 + 0 + 1/8*v**4. Let w = 3 - 6. Determine x(w). 0 Let k(o) be the third derivative of 5*o**4/24 + o**3/2 - 4*o**2 + 67*o. What is k(-5)? -22 Let j(o) = -7*o + 31. Let x be 70/175 - (-266)/35. What is j(x)? -25 Let n = -1400 + 1393. Let a(o) = -3*o - 7. Calculate a(n). 14 Suppose -2*h - 5*a = -41, -2*h + 4*a + 42 = 46. Let s(x) = -11*x**2 + 88*x + 6. What is s(h)? 6 Let u(s) = -4*s. Let b(m) = m**3 - 28*m**2 + m - 23. Let z be b(28). Suppose 0 = z*r + 25. Determine u(r). 20 Let c(d) = -2*d**3 - 13*d**2 + 12*d + 50. Suppose -388*k - 322 = -342*k. Calculate c(k). 15 Let l(m) = -6*m**2 + 6*m - 12. Let k(f) = 5*f**2 - 5*f + 10. Suppose -22*u - 49 = -29*u. Let y(b) = u*k(b) + 6*l(b). Calculate y(2). -4 Let i(s) = -27*s**3 - 46*s**2 - 9*s + 40. Let l(h) = 5*h**3 + 9*h**2 + 2*h - 8. Let m(b) = -2*i(b) - 11*l(b). Calculate m(-4). -24 Suppose -25*d + 3*r = -24*d + 14, 0 = -3*d + 2*r. Let h(j) = j**2 - 5*j + 2. Determine h(d). -2 Suppose -v = 5*z + 32, -5*v - 63 + 77 = -4*z. Let g(l) = -9*l - 55. Give g(z). -1 Let z(n) = -n**3 - 4*n**2 + 14*n - 56. Let u = 31311 + -31318. Give z(u). -7 Let m = -24 - -24. Let i(t) = -11 + 12 - 1059*t + 1059*t - t**3. Determine i(m). 1 Let t(d) = -d**2 + 6*d + 6. Suppose -40 = -3*n + n. Let g = n + -11. Let w(m) = m**3 - 10*m**2 + 8*m + 16. Let h be w(g). Determine t(h). -1 Let v = 229 + -228. Let h be 4/(1 + v + -4). Let k(g) = -6*g**3 - 3*g**2 - g. Give k(h). 38 Let u(l) be the second derivative of 5/12*l**4 + 5*l + 1/2*l**3 - l**2 + 7. Give u(1). 6 Suppose 26*r - 7*r = 0. Let h(u) = u**3 - u**2 - u - 7. Give h(r). -7 Suppose 25*g = 3*h + 21*g + 43, 4 = 4*g. Let n(k) = k**2 + 25*k + 105. Determine n(h). -51 Let z(q) be the second derivative of 3*q**3/2 + 3*q**2/2 - 2*q - 128. Let g(s) = -46*s - 188. Let j be g(-4). Determine z(j). -33 Let l(h) = 2*h + 1. Suppose 0*x - 3*x + 6 = 0. Let o be (x/6)/((-330)/(-54) - 6). Suppose -3 = -0*y + y + 2*j, -12 = 3*y + o*j. Determine l(y). -9 Let h(j) be the second derivative of 35*j**3/6 + 155*j**2 + 54*j - 7. What is h(-9)? -5 Let w(u) be the first derivative of 17*u - 4/3*u**3 - 6*u**2 - 10. Let l(p) = p**2 + 3*p - 4. Let j(r) = -9*l(r) - 2*w(r). Determine j(-6). -16 Let i(x) = -x**3 + 6*x**2 + 18*x - 11. Let t be i(8). Let n(s) = -s**2 + 12*s - 22. Determine n(t). 13 Let c(p) = p**3 - 2*p + 2. Let i be c(1). Let m(n) = -n**2 - n. Let g(o) = o**2 - 6*o + 2. Let d(y) = i*g(y) - 4*m(y). What is d(2)? 18 Let h = 18589 - 18590. Let p(y) = 57*y**3 + y**2 + 2*y + 2. What is p(h)? -56 Let k(g) = -4*g**3 + 3*g**2 + 8*g - 4. Let z(q) = 3*q**3 - q**2 - 7*q + 3. Suppose 0 = -10*u - 13 - 17. Let h(c) = u*z(c) - 2*k(c). Determine h(-4). -5 Let a(x) be the second derivative of -2*x**3/3 + 51*x**2/2 - 8*x + 1. Let p(g) = -3*g + 34. Let j(y) = -5*a(y) + 7*p(y). Determine j(-7). -10 Let j(f) be the first derivative of 1/3*f**3 - 36 - 5*f - 5/2*f**2. Determine j(6). 1 Let s(t) = -t + 12. Let k be (-1)/(-2) + 95/10. Let f be (-156)/90*-21 + 6/k. Let r = 44 - f. Calculate s(r). 5 Suppose 4*y + 17 = 5*g, -4*y - 9 = -g + 4. Let h(i) be the second derivative of i**3/6 - 2*i**2 + 308*i. What is h(y)? -7 Let v(w) be the second derivative of -w**4/12 + 23*w**3/6 - 9*w**2 - w - 115. Determine v(23). -18 Let i be (-22 - (-11 - 8)) + (0/(-2))/(-1). Let j(n) = -8*n - 13. Determine j(i). 11 Let c(y) = y**3 + 5*y**2 - 5*y. Let q(u) = -u**3 - 6*u**2 + 5*u. Let n be 1/(-2) + (-35)/(-14). Let x(k) = n*q(k) + 3*c(k). Determine x(-4). 4 Let f(h) = h**3 + 7*h**2 + 2*h + 7. Let i(u) = -u**2 - 7*u - 1. Let c be i(-2). Suppose -18 = 2*n + 4*l - 2*l, 2*n - l + c = 0. Determine f(n). 31 Let s = 276 + -259. Suppose -13*y = 4*y - s. Let w(p) = -10*p. Give w(y). -10 Suppose -5*m = -5*g, 2*m + 119*g - 124*g - 15 = 0. Let o(s) = 4 + s + 43*s**3 + 3*s + 6*s**2 - 42*s**3. Give o(m). 9 Let y(o) be the second derivative of o**5/20 + 2*o**4/3 + 2*o**3 - 9*o**2/2 + 3494*o. Determine y(-6). -9 Let y(r) be the third derivative of -1/12*r**5 + 0*r + 30*r**2 - 1/6*r**3 - 1 + 1/24*r**4. Determine y(1). -5 Let q be (-1 - 7)/2 + (3 - -3). Let d(b) = 2*b**q + 86*b**3 - 87*b**3 - 5*b**2 - 4. Determine d(-4). 12 Let q(n) be the first derivative of -2*n**3/3 - n**2 + 16*n + 774. Calculate q(3). -8 Let v(r) = -r + 2*r - 121 + 106. Let k = 55 + -52. Let u be (-8 - -8)/(k + -1). What is v(u)? -15 Suppose 282 + 318 = -4*m. Let y be ((-2)/3)/(5/m*2). Let o(x) = -10*x + 19*x - y*x - 4. Calculate o(0). -4 Let u(t) = 30*t + 237. Let f be u(-8). Let o(a) = a**2 - a - 2. Determine o(f). 10 Let g(h) be the third derivative of -h**6/120 + h**5/10 - h**4/4 - h**3/3 - 11*h**2 - 2*h + 6. Suppose 3*o - o - 9 = -q, -o - 2*q = -3. What is g(o)? -7 Let h(l) = -l**3 + l**2 + l - 1. Let y = -30 + 28. Let o(u) = -3*u**3 - 2*u**2 + 7*u + 1. Let g(s) = y*h(s) + o(s). Let b = -21 - -16. Calculate g(b). 3 Let q(z) be the first derivative of 1/2*z**2 + 20 + 2*z. Suppose 6 = -4*o + o. What is q(o)? 0 Let z(a) be the third derivative of 4*a - 6*a**2 - 1/120*a**6 + 1/15*a**5 - 1/4*a**4 + 0 + 2/3*a**3. Give z(4). -20 Suppose -5*x = 4*d - 4, 0 = 4*d - 4*x + 2 - 6. Let t(g) = -24*g + 11. Let f = 260 - 254. Let v(q) = -11*q + 5. Let c(i) = f*t(i) - 13*v(i). Calculate c(d). 0 Suppose 25*b = t + 24*b - 12, 0 = -4*t - 4*b + 8. Let x(d) = -4*d - 36. Calculate x(t). -64 Let a(b) = -2*b - 2*b**2 + 8*b - b - 2. Let q be 3/(18/16) + 728/2184. What is a(q)? -5 Suppose -4*h + 10 - 18 = 0. Let q be (0 - -7)*(2 - (-2)/h). Suppose q*x = 11*x + 4. Let c(i) = 2*i + 1. What is c(x)? -1 Let k(o) = 39687*o**2 - o + 11 + o**3 + 1 - 39682*o**2. Give k(-6). -18 Let d(f) be the second derivative of -5*f**3/6 + 3*f**2/2 + f. Suppose -48*a - 22*a = -94*a + 48. What is d(a)? -7 Suppose 182*q + 2015 = 123*q + 124*q. Let a(y) = -y**3 + 31*y**2 + 6*y - 173. What is a(q)? 13 Let p(t) = t**3 + 3*t**2 - 2*t - 6. Let b be (114/(-5))/((-979)/330 - -3). Let y = b + 680. Calculate p(y). -14 Let p(o) be the second derivative of 26*o - 1/24*o**4 + 0 + o**3 + 8*o**2 - 1/60*o**5 + 1/120*o**6. Let s(u) be the first derivative of p(u). What is s(0)? 6 Let f(r) = 2*r**3 + 9*r**2 - 13*r - 24. Let z(y) = y**3 - y + 1. Let o(u) = f(u) - z(u). Let b be o(-10). Let c(l) = -5*l - 1. Determine c(b). 24 Let v(w) = w**3 - 4*w**2 + 2*w + 1. Let y(f) be the third derivative of -f**4/4 - 5*f**3/3 + 89*f**2. Let j be y(-2). Give v(j).
{ "pile_set_name": "DM Mathematics" }
7))/((-2)/(-60))? 3, 5, 43 List the prime factors of (1 - -1658) + (26/(-20) - (-36)/120). 2, 829 Let l(p) = 2*p**3 + p**2 - 6*p + 6. Suppose -2 = 2*h - 3*o - 8, h - 3 = -5*o. Let j be l(h). Let f = j - -49. What are the prime factors of f? 2, 5 Suppose 700 = -2*k - 2*k - 4*i, -2*k - 346 = 4*i. Let w = k - -437. Let n = w - 95. List the prime factors of n. 3, 5, 11 Suppose w = 5*h - 0*h + 37, 0 = h + 2*w + 3. Suppose 17*b + 6*b = 4669. What are the prime factors of (-187)/(-4) + h + b/28? 47 Suppose -14*g - 556 - 74 = 0. Let a be (g/(-10) + -4)*12. Suppose 1090 = 16*f - a*f. What are the prime factors of f? 109 Let j(w) = -2*w - 14. Let r be j(-9). Suppose -r*h + 32 = -0*h. Suppose 0*t = 4*t + h, 5*b + 4*t = 207. What are the prime factors of b? 43 Let x(d) = -371*d - 34. Let s be x(-6). Suppose 2*n = 18*n - s. List the prime factors of n. 137 Let k be (-2)/8 + (-6)/(-24). Suppose k*s - 9*s = 18. List the prime factors of s*1*-44 + -1. 3, 29 Let d(y) = 6*y**3 + 9*y**2 + 24*y - 7. Suppose -36*o + 35*o + 5 = 0. Let f(c) = -c**3 + c**2 - 2*c. Let k(w) = o*f(w) + d(w). List the prime factors of k(-10). 11, 23 Let r(t) = t**3 + 35*t**2 - t + 5190. List the prime factors of r(0). 2, 3, 5, 173 Let g = 843 - -352. Suppose -2*r - y = -2*y - g, 0 = -3*r - 5*y + 1825. What are the prime factors of r? 2, 3, 5 Let g be (-4 - 2)/(-6) - (-10 + 1). Suppose 1020 = 5*o + g*o. List the prime factors of o. 2, 17 Suppose -y - 14 = -37*q + 41*q, 0 = 2*y + 5*q + 25. What are the prime factors of 11*178/4*y/(-5)? 11, 89 Let h be 0/1 + 3 - (86 + -86). List the prime factors of ((-3507)/14)/(h/(-4)). 2, 167 Let q = 61 - 31. Let b(y) = -7*y**2 + 171*y - 92. Let c be b(23). Suppose -2*i + c = 2*o, i - q = 5*o + 33. List the prime factors of i. 2, 17 Suppose -2*g - 951 = -4*d - 5029, -10189 = -5*g + 4*d. Suppose 2*b - 12*i + 9*i - g = 0, 3*i = -4*b + 4029. List the prime factors of b. 3, 337 Let y = 473 - 328. Suppose 0 = y*p - 150*p + 1905. What are the prime factors of p? 3, 127 Let n be (1 - -4)/(22/23540). Let m = n + -2195. Suppose -15*k + m = -265. List the prime factors of k. 2, 3, 19 Suppose -56*v = -28*v + 24*v - 359788. List the prime factors of v. 11, 17, 37 Suppose 3331 + 20273 = 2*w. List the prime factors of w. 2, 3, 7, 281 Let n(v) = v. Let c(f) = f**3 - 15*f**2 + 22*f - 3. Let h(z) = c(z) - 6*n(z). Let i be h(14). Let b = 64 + i. List the prime factors of b. 89 Suppose 38*v - 33*v - 15 = 0. Suppose 2 = -4*i - 10, 0 = -v*p + 4*i + 384. List the prime factors of p. 2, 31 Let l(i) = -32*i - 123 - 71 - 5*i**2 - 7*i**2 + 148 - i**3. List the prime factors of l(-11). 5, 37 Suppose 11*b + 16 = 15*b. Suppose -b*l - 670 = -3*h - 152, 5*h = -3*l - 374. Let v = l - -233. What are the prime factors of v? 3, 5, 7 List the prime factors of (57167460/(-162))/(-70) - (-2)/(-9). 71 Suppose -3*u - 4*c - 21 = 0, -17 - 1 = 2*u + 4*c. Let x be (3 - (5 - 1))*(u - 1). Suppose -x*m + 170 = 10. What are the prime factors of m? 2, 5 Let q be (16*-1)/(18 - 17). Let o = -14 - q. Suppose 0*n = 3*n - 3*r - 300, -5*n + 497 = -o*r. List the prime factors of n. 3, 11 Suppose -677 = -9*z + 16468. Let n = z + -1273. Suppose 7*l = -163 + n. What are the prime factors of l? 67 Let r = 878 - 878. Suppose r = 3*u - 5*k - 5480, -7*u + k = -11*u + 7345. List the prime factors of u. 5, 367 Let q = 1661 - 991. Suppose -4*r - 3 + 7 = 0, -3*c - 4*r + q = 0. What are the prime factors of c? 2, 3, 37 Let q = -14 - 52. Let l = q + 27. Let d = l + 63. What are the prime factors of d? 2, 3 Let k(o) = -333*o - 19. Let r(l) = -2*l + 2. Let m(h) = 2*k(h) + 14*r(h). List the prime factors of m(-1). 2, 3, 19 Let k(o) = 12*o - 11. Let s be -3 - (24/(-2) + 2). Let b(n) = 4*n - 4. Let p(g) = s*b(g) - 2*k(g). List the prime factors of p(4). 2, 5 Suppose -8*b + 367 + 1737 = 0. Let t = 258 + b. List the prime factors of t. 521 Let q(p) = -69*p - 10. Let t be q(-2). Suppose t = 2*h + 136. What are the prime factors of h/16 - 242/(-8)? 2, 3, 5 Let i = -71220 - -111419. List the prime factors of i. 61, 659 List the prime factors of -11 - 9 - -15 - 67656/4*-1. 37, 457 Suppose 0*r - 3*u = 3*r - 2973, -u + 3 = 0. Let z = 1798 - r. List the prime factors of z. 2, 3, 5 Let k(n) = -2*n**3 + 6*n. Let h be k(-6). Suppose -3*d = -147 + h. Let b = 183 + d. List the prime factors of b. 2, 5 Let x = -28719 - -31349. What are the prime factors of x? 2, 5, 263 Suppose -31*l + 25486 = -28702. Suppose 4*b - 1852 - l = 4*w, -3*b - 3*w + 2712 = 0. What are the prime factors of b? 2, 11, 41 Let c = 802 - -1803. What are the prime factors of c? 5, 521 Let k(v) = v**2 - 11*v + 13. Let h = 43 + -33. Let y be k(h). Suppose 4*f - 3*f - 99 = 5*o, -y*f - 3*o + 207 = 0. What are the prime factors of f? 2, 37 Suppose 646*o - 35602216 + 944180 = 170*o. List the prime factors of o. 17, 4283 Suppose -k = 3*m - 21, -2*m + 3 = 2*k - 19. Let f be -2 + -1 + k + 1. Suppose 0 = f*r - 1042 + 162. What are the prime factors of r? 2, 5, 11 Suppose 0 = 2855*k - 2945*k + 5064480. What are the prime factors of k? 2, 3517 Let b(j) = -2*j**3 + 7*j**2 + 5*j - 5. Let f be b(10). Let k = 875 + f. Let g = -263 - k. What are the prime factors of g? 3, 13 Let g(h) = -8485*h - 9805. What are the prime factors of g(-8)? 5, 23, 101 Let d(m) be the first derivative of m**4/4 - 9*m**2/2 - 5*m - 30. Let b be d(-3). What are the prime factors of 704/16 + (-2 - b)? 47 Let w be (-5)/(-40)*4 - 3434/4. List the prime factors of (w/110)/(1/(-10)). 2, 3, 13 Let y(a) = 347*a**2 - 126*a + 6. What are the prime factors of y(-4)? 2, 7, 433 Let n(w) = 2*w - 16. Let x be n(12). Let k(v) = 203*v + 38. What are the prime factors of k(x)? 2, 3, 277 Suppose -2*j + c + 687 = 0, -4*j - 5*c + 451 + 958 = 0. What are the prime factors of j? 2, 173 Let h = -3 + 14. Let s(t) = t**3 - 9*t**2 - 8*t - 1. Let f be s(h). Let l = 118 + f. What are the prime factors of l? 271 Suppose -m = 3*l - 938 + 81, -3*l + 832 = -4*m. List the prime factors of l. 2, 71 Suppose -3*d - 4*d = -2*d. Suppose 0*b - 5*b - 1690 = -5*r, -2*r - 3*b + 661 = d. List the prime factors of r. 5, 67 Suppose 20107 = 5*i + 4*n - 61581, -5*i = -5*n - 81760. List the prime factors of i. 2, 3, 227 Suppose 2303 = c - 5*s, 63*s - 60*s = 12. What are the prime factors of c? 23, 101 Suppose k + g - 6*g = 10, 0 = -k + 4*g + 6. Let h = -15 - k. What are the prime factors of h/((-45)/(-324)*(-2)/10)? 2, 3, 5 Suppose -3*g = -4*x - 4719, 0 = -10*x + 13*x + g + 3536. Let k = -667 - x. List the prime factors of k. 2 Let h = -174 + 179. Suppose 20 = h*o, 3*m - 619 - 510 = -o. What are the prime factors of m? 3, 5 Let m(u) be the first derivative of 11*u**2 + 104*u - 150. What are the prime factors of m(9)? 2, 151 Let j be (-2 - -2) + (2 - 0). Suppose j*g = 1881 + 613. Suppose -2*b = 4*q - 552, 157 = -4*b - q + g. What are the prime factors of b? 2, 17 Let u be (-338)/1*1/(-1). Suppose 507 = 3*x - 5*l, -l + u = 2*x + 2*l. List the prime factors of x. 13 Let m(s) = -s**3 - 10*s**2 + 11*s + 20. Let q be m(-11). What are the prime factors of (-5 - (-145)/q)/(1/476)? 3, 7, 17 Let t = -723 - -736. List the prime factors of t. 13 Let r = 30 + -27. Let l be 9/21 - (r - 212/28). Suppose -583 + 148 = -l*n. What are the prime factors of n? 3, 29 Let a(p) = -33*p + 17. Let b be a(2). Let n = b - -54. Suppose -3*f = -n - 703. What are the prime factors of f? 2, 59 Let v = 12835 + -6013. What are the prime factors of v? 2, 3, 379 Suppose 50*n + 3*q = 45*n + 16409, 0 = 5*q + 10. What are the prime factors of n? 7, 67 List the prime factors of (-17)/(-8 - 2716/(-340)). 5, 17 Suppose -8*r + 21 = -r. Suppose w - 7 = -r*b, 34 - 9 = 5*b - 5*w. What are the prime factors of 215 + (3 - 1) + b? 2, 5, 11 Suppose -9 + 9 = i. Suppose 5*f - f - 184 = i. Suppose -6*u + 274 = f. What are the prime factors of u? 2, 19 List the prime factors of 1431*(-341)/(-66) - 1/2. 7393 Let w = -14465 + 27287. What are the prime factors of w? 2, 3, 2137 Let x(m) = -m + 25. Let i be x(16). Let j = 14 - i. Suppose j*u - 148 = 552. List the prime factors of u. 2, 5, 7 Let h = -17018 + 22628. List the prime factors of h. 2, 3, 5, 11, 17 What are the prime factors of 11886/(-1132)*(-8884)/6? 7, 2221 Let t(l) = 15*l**2 + 194*l - 52. List the prime factors of t(22). 2, 19, 151 Suppose -4*o - 7
{ "pile_set_name": "DM Mathematics" }
m = 479 + -294. What is the tens digit of m? 8 Let x(m) be the second derivative of 3*m - 3*m**2 + 1/6*m**3 + 0. What is the units digit of x(11)? 5 Let n(v) = 4*v - 14. Let l be n(4). Suppose 3*m + l*c - 5 = 13, -5*m = -5*c - 30. What is the units digit of m? 6 What is the tens digit of (-433)/(-2) - 8/16? 1 Let k(r) = 2 + 11 - r + r**2 + 8 + 0*r**2. Let t(z) = 2*z**2 - 2*z + 43. Let f(l) = 13*k(l) - 6*t(l). What is the units digit of f(0)? 5 Let d = -242 + 347. What is the tens digit of d? 0 Let m(d) be the second derivative of -d**3/3 - 2*d**2 - 3*d. What is the units digit of m(-5)? 6 Let d(k) = k**2 + 3*k - 3. Let c be d(-4). Suppose -34 - c = -i. What is the units digit of i? 5 Suppose -2*w = 5*m - 205, 4*w + 0*w = 2*m + 350. Suppose -105 = -5*l + w. What is the tens digit of l? 3 Suppose 5*s = 2*s. Suppose -4*m + 0*m + 24 = s. What is the units digit of m? 6 Suppose -i + 0*h + 3*h = 18, h = 5. Let a be (8/i)/(1/3). Let n = a + 13. What is the units digit of n? 5 Suppose -3*w + 13 = 5*c, 5*w + 3 = 2*c + 2*c. Suppose -c*q - 2*q = -124. What is the units digit of q? 1 Let k be (3 + -5)/(-1)*3. Let b be (10/k)/(1/(-9)). Let o = -10 - b. What is the units digit of o? 5 Let l(f) = -f**3 + 7*f**2 - 7*f + 5. Let b be ((-15)/(-9))/(2/6). Let u be l(b). Suppose -d - 3*r + u = -5*r, -5*d - 3*r = -48. What is the tens digit of d? 1 Let r(s) be the third derivative of 2*s**2 + 1/3*s**3 + 7/24*s**4 + 0*s + 0 + 1/60*s**5. What is the units digit of r(-7)? 2 Let f be (-162)/(-21) - (-4)/14. Let h = f - 5. Let b = h + -2. What is the units digit of b? 1 Let u(l) = -12*l - 18. What is the units digit of u(-8)? 8 Let y be (2 - 8)/((-4)/10). Let k = 24 + -14. Suppose y = 5*u - k. What is the units digit of u? 5 Let z be (-8 - -5)*-1*1. Let j = -1 + z. Suppose -4*h - 4 = 0, 3*p + j*p - 3*h - 43 = 0. What is the units digit of p? 8 Let n be (10/1)/(8/60). Suppose 2*q = -3*q + n. What is the tens digit of q? 1 Let z(b) = -2*b**3 - 7*b**2 + 9*b + 31. Let j(y) = -4*y**2 - 8 - 5*y + 8*y**2 - 8 + y**3. Let a(w) = 7*j(w) + 4*z(w). What is the tens digit of a(0)? 1 Suppose -5*h - 4*g + 738 = 0, -3*h + 444 = 7*g - 4*g. What is the hundreds digit of h? 1 Let h = 324 - 218. What is the hundreds digit of h? 1 Let j = 39 + -24. Suppose 21 + j = 3*d. What is the tens digit of d? 1 Let b = 1 - -3. Suppose -b*n = -n - 15. What is the units digit of n? 5 Let g(s) = 2 + s - 3 - 2 + 1. What is the units digit of g(7)? 5 Suppose 4*n + 6 = -5*j - 3, 0 = 2*j + 2. Let g = 0 - n. What is the units digit of g? 1 Let o = 16 - -4. Let w = -11 - 3. Let g = w + o. What is the units digit of g? 6 Let q = -148 + 264. What is the units digit of q? 6 Let v = 26 - 26. Suppose 6*a - 15 - 3 = v. What is the units digit of a? 3 Suppose 0 = -5*t + 6 + 4. Suppose -z = -t + 1. What is the units digit of -10*z*(-6)/5? 2 What is the units digit of (-38)/(3 + (1 - 6))? 9 Suppose -62 = -5*b + 5*g - 7, 3*g - 27 = -2*b. Suppose w - b = -3. What is the units digit of (-15)/(w/3)*-1? 5 Suppose y - r = -4*r + 10, -3*r = -2*y + 2. Suppose 0 = 21*j - 18*j + 75. What is the units digit of (-110)/j - y/10? 4 Let y = -14 + 12. Let u(o) = 6*o**2. What is the tens digit of u(y)? 2 Suppose 5*g = 4*a - 625, -2*g + 0*g - 157 = -a. Suppose 3*z = -2*w + 89, 41 = -4*z + 2*w + a. What is the tens digit of z? 2 Suppose -p = -0*p - 3*s + 9, -2*p + 4*s = 12. Suppose -5*r + 55 - 10 = p. What is the units digit of r? 9 Suppose 2*d = d + 8. What is the units digit of d? 8 Let f be 3/(-9) + 39/9. Suppose f*x = x. Suppose -3*a + 2 - 5 = x, -2*i + 2*a = -30. What is the tens digit of i? 1 Let b(n) = n**2 + 5*n + 2. Let h be b(-5). Suppose -2*g = -5*d + 4*d + 9, 5*d - h*g = 85. What is the units digit of d? 9 Let q be (-10)/((-2 + 1)*-1). What is the units digit of 8/q*2*-5? 8 What is the units digit of (1 + (-8)/6)*-246? 2 Suppose 0*d + 80 = 5*d. Let r be (d/10)/((-2)/(-5)). Suppose -u - 2*w - 9 = -r*u, -2*u = 3*w + 7. What is the units digit of u? 1 Suppose 2*l + 0*l - 6 = 0. Suppose w - 11 = -3*n, n - l*w + 0*w + 13 = 0. What is the units digit of n? 2 What is the hundreds digit of 22/(-99) - (-2)/((-18)/(-2315))? 2 Suppose 0 = k + 1. Let j be (-2 - 6/(-2))/k. What is the units digit of (13/(-3) - j)*-3? 0 Let m(t) = 11*t. What is the units digit of m(2)? 2 Suppose -5*y = 3 - 23. Suppose a = -2*c + 4, 68 = y*a - 0*c - 5*c. What is the units digit of a? 2 Let w(g) = -g**2 + 3*g. Let k be w(4). What is the tens digit of (k/3)/((-1)/15)? 2 Let q(l) = l**3 - 5*l**2 - 2*l - 8. Let n be q(7). Suppose 2*r - n = -0*r. What is the tens digit of r? 3 Suppose -2*o + 24 = -5*l, 2*l + 0*o + 10 = o. Let r = l - -4. Suppose 7 = y - r. What is the units digit of y? 7 Let w = -1 + 4. Let b be 4/w*(-9)/(-6). Suppose 0 = r - b. What is the units digit of r? 2 Suppose 0 = -p + 7 + 17. What is the tens digit of p? 2 Let m be (2/6)/((-2)/(-18)). Suppose 0 = 2*x - 2*g + 2, -2*g + 5 = m*g. Let n = x - -2. What is the units digit of n? 2 Suppose 3*v - 30 = -2*v. Let x be (-2)/v + 40/(-6). Let o = -3 - x. What is the units digit of o? 4 Suppose 2*o - 4 = o. Suppose 0 = o*p + 3*h - 49, -p = -4*h - 8 - 9. What is the units digit of p? 3 Let n = 328 - 231. What is the units digit of n? 7 Suppose -4*i = -2*i - 6. Suppose 14 = i*a - 2*a. What is the units digit of a? 4 Let p(i) = 44*i**2 + 2. What is the units digit of p(2)? 8 Let v be -1 + 4 + -1 + 2. Let s = 1 - 0. Suppose v*u = d - 4, -d - u = -8 - s. What is the units digit of d? 8 Suppose -4*d = -4*h - d + 17, 5*h - 22 = 3*d. Suppose h*s + 0 = 25, 25 = -3*a + 5*s. Let j = 2 - a. What is the units digit of j? 2 Let t be 2/(-12) + (-1)/(-6). What is the units digit of (-1 - (t + -6)) + -3? 2 Let t(l) = 3*l**2 - l + 1. Let j be t(2). Suppose -5*q - j = -56. Suppose -d + q = m + m, 4*d = m. What is the units digit of d? 1 Let u(b) = -5*b - 12. Let t be u(-8). Let s(x) = x**3 + 3*x**2 + x - 2. Let o be s(-2). Suppose -2*p + t = -o*p. What is the units digit of p? 4 Suppose -m + 12 = -4. Let y = -6 + m. Suppose 3*d = y + 14. What is the units digit of d? 8 Suppose 0 = -5*c + 3*v + 437, c + 2*v - 442 = -4*c. Suppose r - 2 = 0, 5*r - c = -2*i + 3*r. What is the tens digit of i? 4 Let r(i) = -i**2 - 7*i + 2. Let u be r(-7). Let o = u + 12. What is the units digit of o? 4 Let f(h) = h**2 - h + 1. Let m be f(-4). Let n be (-7)/(m/(-18)) + -2. Suppose 4*j - n*g - 30 = 2*j, 50 = 4*j - 3*g. What is the units digit of j? 1 Suppose z + 1 = 4. Suppose -3*o + z = -0*o. What is the units digit of o? 1 Suppose 7*o = 83 + 218. What is the tens digit of o? 4 Let g(m) = -3 + 0*m - 7*m**2 - m + m**3 - 2*m**3. Let t be g(-7). Suppose t*x + 4*o = 5 + 7, -5*x - 4*o = -16. What is the units digit of x? 4 Suppose 0 = 5*s + 3*h - 1626, 6 = 5*h - 2*h. What is the tens digit of s? 2 Let f(z) = z**3 + 16*z**2 - 18*z - 12. Let x = -33 - -16. What is the units digit of f(x)? 5 Let t be 1*(-3 + (-2 - -2)). Let j be ((-2)/6)/((-2)/(-6)). What is the units digit of t/((-2)/(-6)*j)? 9 Let d = 2 - 2. Suppose 0*v - 4*v + 84 = d. What is the units digit of v? 1 Let g be (-1)/(-5) + 12/(-10). Let h = g - 2. What is the tens digit of 3/h*2 + 17? 1 Let i = 14 + -8. Let w = i - -2. What is the units digit of w? 8 Suppose -2*t + 36 = -6*t. What is the tens digit of 3/t + 40/3? 1 Suppose 284 = 3*q + 2*a, 5*q + a = 4*q + 96. What is the units digit of q? 2 Suppose -4*t + 6 = -2*x, -6*t = -4*x - t. Suppose -n - r = -7, -2*n - x*r + 18 = -r. What is the units digit of n*((-12)/(-10) + 0)? 6 Let y(o) = -2*o + 2. Let t be y(-5). Suppose 20 = 3*r - 0*r - 5*b, -2*b = -5*r + 8. Suppose 0 = 2*w - r*w - t. What is the units digit of w? 6 Let l be (-8 - -10) + (-4 - 1). Let t(q) = q + 3. Let k be t(l). Suppose k = -0*s - 3*s + 51. What is the tens digit of s? 1 Let c = 34 - -104. What is the tens digit of c? 3 Let n = 92 - -32. What is the hundreds digit of n? 1 Suppose 8*f - 3*x = 3*f - 297, 0 = 5*x + 5. Let h = f - -95. What is the tens digit of h? 3 Let t(f) = -f**3 - 2*f**2 + 2*f - 4. Let j be t(-3). Let z = j - -4. What is the tens digit of (-1)/z - (-37)/3? 1 What is the tens digit of ((-2)/(-4))/((-4)/(-312))? 3 Suppose -2*c = l - 11, 0*c = 4*c + 5*l - 19. Let y = -2 - -6. Let w = c - y. What is the units digit of w? 2 Let m(a) be the third deriva
{ "pile_set_name": "DM Mathematics" }
housand. -290000 Round -6970.84 to the nearest 100. -7000 Round 18073.4 to the nearest one hundred. 18100 Round 0.005371281 to 5 decimal places. 0.00537 What is -85466200 rounded to the nearest 100000? -85500000 What is 2.48504 rounded to one dp? 2.5 What is -0.501871 rounded to 1 decimal place? -0.5 Round 265197000 to the nearest one million. 265000000 Round -0.557028 to 1 decimal place. -0.6 What is 264251 rounded to the nearest one thousand? 264000 What is -0.97749 rounded to one dp? -1 Round -0.00003558432 to six decimal places. -0.000036 What is 0.03185957 rounded to three decimal places? 0.032 What is -1.4577146 rounded to two decimal places? -1.46 What is -10277381 rounded to the nearest ten thousand? -10280000 What is -17743.663 rounded to the nearest one hundred? -17700 What is 1221253400 rounded to the nearest 100000? 1221300000 What is 173660000 rounded to the nearest 100000? 173700000 What is -22359284 rounded to the nearest 10000? -22360000 Round -127050.87 to the nearest 10000. -130000 What is -1318195 rounded to the nearest 1000? -1318000 What is -0.0000008784002 rounded to six dps? -0.000001 Round -0.0000019567253 to seven decimal places. -0.000002 Round -0.0000340274 to 7 dps. -0.000034 Round -8646190 to the nearest 10000. -8650000 What is 87413 rounded to the nearest 10000? 90000 Round 344.8737 to the nearest 10. 340 What is -14331120 rounded to the nearest ten thousand? -14330000 Round 0.000659757 to four decimal places. 0.0007 Round -155805 to the nearest 10000. -160000 What is 2833800 rounded to the nearest 100000? 2800000 Round -15371.199 to the nearest ten. -15370 What is 0.000681805 rounded to 5 dps? 0.00068 What is 205.1997 rounded to the nearest ten? 210 What is 0.003001095 rounded to six dps? 0.003001 What is 81157.7 rounded to the nearest one hundred? 81200 Round -2.8950302 to 2 decimal places. -2.9 Round -0.1726904 to 4 dps. -0.1727 Round -0.10093 to three decimal places. -0.101 Round -4567.77 to the nearest integer. -4568 Round 150894.61 to the nearest ten thousand. 150000 Round 0.629703 to three dps. 0.63 Round 32582481 to the nearest ten thousand. 32580000 What is 65083.007 rounded to the nearest 100? 65100 What is 6.272253 rounded to the nearest integer? 6 Round 94.8637 to one decimal place. 94.9 What is -964.179 rounded to the nearest 10? -960 What is 1029703 rounded to the nearest one thousand? 1030000 What is -2610.211 rounded to the nearest 100? -2600 Round -0.21943311 to 4 decimal places. -0.2194 Round 381040.87 to the nearest 1000. 381000 What is -19360.624 rounded to the nearest 1000? -19000 What is -15.13874 rounded to one decimal place? -15.1 What is 156124150 rounded to the nearest one hundred thousand? 156100000 Round -3746.52 to the nearest 1000. -4000 Round 23628.577 to the nearest one hundred. 23600 Round -0.062322 to 2 dps. -0.06 What is 13.397742 rounded to the nearest integer? 13 Round 316.018 to the nearest 10. 320 What is -8257.35 rounded to the nearest one hundred? -8300 Round -1160868.9 to the nearest ten thousand. -1160000 Round 5253380 to the nearest ten thousand. 5250000 Round 1455.809 to the nearest integer. 1456 What is -7827.94 rounded to the nearest one thousand? -8000 Round -0.000000345263 to 7 dps. -0.0000003 What is -0.0000006235164 rounded to 7 decimal places? -0.0000006 What is 0.0000026485 rounded to six dps? 0.000003 What is -5.886959 rounded to two decimal places? -5.89 What is -245295700 rounded to the nearest 1000000? -245000000 What is 0.00054093 rounded to six decimal places? 0.000541 What is 0.0414995 rounded to three decimal places? 0.041 Round -0.0004131844 to 4 dps. -0.0004 Round -9.257 to 0 dps. -9 Round 118264200 to the nearest one hundred thousand. 118300000 What is -53.46497 rounded to 1 dp? -53.5 What is -11.88806 rounded to one decimal place? -11.9 Round -0.0023779064 to six decimal places. -0.002378 Round -21.81187 to 0 dps. -22 Round 0.0071261051 to five decimal places. 0.00713 Round -0.000000456219 to 7 dps. -0.0000005 What is 82186260 rounded to the nearest 10000? 82190000 Round -2196.98 to the nearest one thousand. -2000 Round -3.838426 to two decimal places. -3.84 Round 4653.598 to the nearest one thousand. 5000 What is 0.00354265 rounded to 6 dps? 0.003543 Round -232235.47 to the nearest 1000. -232000 What is 23.30106 rounded to 2 decimal places? 23.3 What is -42313.08 rounded to the nearest 10? -42310 Round -12.281365 to 1 dp. -12.3 Round 1535670 to the nearest 100000. 1500000 Round 3288390 to the nearest one hundred thousand. 3300000 What is -0.01193087 rounded to 5 dps? -0.01193 Round 20.8141 to the nearest 10. 20 Round 18443000 to the nearest 1000000. 18000000 What is -44469000 rounded to the nearest 1000000? -44000000 Round -382003.9 to the nearest one hundred thousand. -400000 Round 8.968891 to 1 dp. 9 Round 12417600 to the nearest 10000. 12420000 Round 0.00045379126 to 5 dps. 0.00045 Round -8138.1376 to the nearest 100. -8100 Round 402576.5 to the nearest ten thousand. 400000 What is 0.00013727336 rounded to 6 decimal places? 0.000137 Round 0.52227327 to 4 dps. 0.5223 Round -3665.9817 to zero dps. -3666 Round 38427.027 to the nearest ten thousand. 40000 Round -1788.64 to the nearest ten. -1790 What is -36.18053 rounded to the nearest ten? -40 What is 0.000004847421 rounded to seven dps? 0.0000048 Round 0.32337429 to two dps. 0.32 Round -0.00000051896 to seven decimal places. -0.0000005 Round -0.01053373 to 3 dps. -0.011 Round 0.032258434 to five dps. 0.03226 What is 0.0000613461 rounded to six dps? 0.000061 Round -300382100 to the nearest 1000000. -300000000 Round -0.3946757 to 1 decimal place. -0.4 Round 0.056660427 to 2 decimal places. 0.06 What is 186790.1 rounded to the nearest one thousand? 187000 Round -29230.091 to the nearest one thousand. -29000 What is -0.00000741666 rounded to 6 dps? -0.000007 What is 12503.04 rounded to the nearest ten? 12500 What is 10.56168 rounded to the nearest integer? 11 What is -321301.1 rounded to the nearest one thousand? -321000 Round -0.00004839585 to 6 decimal places. -0.000048 What is -0.02473762 rounded to 4 decimal places? -0.0247 Round -0.001478699 to 4 decimal places. -0.0015 Round -16868140 to the nearest 100000. -16900000 What is 0.2153037 rounded to 4 decimal places? 0.2153 What is 0.000031457 rounded to 5 decimal places? 0.00003 Round -0.00021316 to 6 dps. -0.000213 What is -3296.99 rounded to the nearest 100? -3300 What is -0.00001393184 rounded to 7 dps? -0.0000139 What is 26.968059 rounded to two decimal places? 26.97 What is 201072.68 rounded to the nearest 100? 201100 What is 0.007452556 rounded to four dps? 0.0075 Round -302033.41 to the nearest one thousand. -302000 What is -15.141006 rounded to the nearest integer? -15 Round -1271389 to the nearest 1000. -1271000 Round 0.0114634 to 4 dps. 0.0115 Round -348239 to the nearest 1000. -348000 What is -2871.024 rounded to the nearest 100? -2900 Round -126565.95 to the nearest 1000. -127000 What is -1605.33 rounded to the nearest 100? -1600 Round -0.000087762506 to six decimal places. -0.000088 What is -19.2391 rounded to one decimal place? -19.2 What is 611.9631 rounded to the nearest 100? 600 What is 0.01541799 rounded to 3 dps? 0.015 What is 298967.4 rounded to the nearest one thousand? 299000 What is 4207020 rounded to the nearest one million? 4000000 Round -7302640 to the nearest 10000. -7300000 What is 9.5783 rounded to zero decimal places? 10 Round 0.023193 to 2 dps. 0.02 Round 4515457.3 to the nearest 1000. 4515000 What is 0.00060747756 rounded to 7 dps? 0.0006075 What is 2068867 rounded to the nearest 10000? 2070000 Round -0.001344704 to 3 dps. -0.001 What is -0.9290813 rounded to 3 decimal places? -0.929 What is 38867.8 rounded to the nearest 10? 38870 What is -2.1515923 rounded to one dp? -2.2 Round -0.22550015 to two decimal places. -0.23 Round 0.03568984 to 5 dps. 0.03569 Round -6748.09 to the nearest 100. -6700 Round -24917380 to the nearest 1000000. -25000000 Round 0.3085192 to two decimal places. 0.31 What is -251191.59 rounded to the nearest one hundred? -251200 What is -8.53039 rounded to the nearest integer? -9 Round -206621.9 to the nearest ten thousand. -210000 What is -0.027328 rounded to two dps? -0.03 Round 64927727 to
{ "pile_set_name": "DM Mathematics" }
38*r**2 + 2*r. What is m(d(g))? -418*g**2 - 22*g - 34 Let q(f) = -9*f. Let b(c) = -2*c**2 + 8829*c + 1. Calculate b(q(h)). -162*h**2 - 79461*h + 1 Suppose -2*g + 6 = 2. Let s(z) = -g*z**2 + 0*z**2 + 0*z**2. Let j(b) = -8*b**2. Calculate j(s(y)). -32*y**4 Let i be (-2)/(-4) + (-105)/(-14). Let z(p) = -8*p + 16*p - i*p - 3*p**2. Let r(w) = 3*w - w - 2*w - 3*w**2. Determine z(r(l)). -27*l**4 Let f(j) = 3*j**2. Let a(c) = c**2 - 1. Let p be a(-3). Let z(u) = p*u - 5*u - 6*u. What is f(z(l))? 27*l**2 Let w(h) = -112371*h**2. Let r(y) = y. Give w(r(u)). -112371*u**2 Let c(l) = -l + 10. Let m(f) = -9*f + 72. Let w(y) = 36*c(y) - 5*m(y). Let d(k) = 3*k + 2. Let g(a) = -a - 1. Let p(x) = -d(x) - 2*g(x). What is p(w(z))? -9*z Let h(j) = -91*j**2 + 90*j**2 - 13*j + 13*j. Let a(v) = -145*v**2 - 2*v. Calculate a(h(y)). -145*y**4 + 2*y**2 Let y = 14 - -10. Let a(z) = -z + y - 24. Let b(m) = -4*m**2. Determine a(b(d)). 4*d**2 Let m(r) = -28*r**2 + 2. Let j(t) = 3*t**2 + 86*t - 2. What is j(m(p))? 2352*p**4 - 2744*p**2 + 182 Let h(q) = 2398 - 2398 + 17*q**2. Let r(z) = -z**2. Give r(h(d)). -289*d**4 Let k(q) = 48*q**2. Let u(s) = -7*s**2 - 23*s. Calculate u(k(z)). -16128*z**4 - 1104*z**2 Let g(l) = 82*l. Let b(h) = 148*h**2 + 162*h**2 - 314*h**2. Give g(b(v)). -328*v**2 Let i(f) = 2*f. Let z(j) = 4967*j. What is i(z(q))? 9934*q Let c(o) = 4407*o**2 - 2*o - 3. Let v(x) = 7*x**2. Calculate c(v(q)). 215943*q**4 - 14*q**2 - 3 Let l(p) = p - 6. Let z(o) = 4*o - 2*o - 11*o + o + 5*o. Calculate l(z(h)). -3*h - 6 Let u(z) = 9*z - 1. Let n(f) be the third derivative of f**4/24 - 51*f**2. Calculate n(u(y)). 9*y - 1 Let q(x) = -13*x - 256. Let z(h) = 4*h. Calculate q(z(v)). -52*v - 256 Let q(a) = -7*a**2. Let i(u) = -289783*u. Calculate i(q(g)). 2028481*g**2 Let i(n) = -287*n**2 + 3. Let h(s) = s - 384. What is h(i(a))? -287*a**2 - 381 Let w(n) = -6*n**2 - 4*n. Let p be 6/18 - 2/6. Let q(h) = -2*h**2 + h**2 + p*h**2. Determine w(q(a)). -6*a**4 + 4*a**2 Let t(l) be the first derivative of l**2 - 43*l + 101. Let y(w) = -2*w**2. Give t(y(j)). -4*j**2 - 43 Let y(g) = -12*g**2. Let l(q) = q - 2253. Give y(l(j)). -12*j**2 + 54072*j - 60912108 Let z(n) = 6*n**2 + 45*n + 9. Let p(j) = -5*j - 1. Let u(o) = 18*p(o) + 2*z(o). Let g(d) = d - 4. What is g(u(b))? 12*b**2 - 4 Let g(q) = -6*q + 2*q + 2*q + q + 2*q. Let p(l) = 1149*l**2. What is g(p(d))? 1149*d**2 Let m(g) = -5*g**2. Let x(y) be the second derivative of y**4/12 - 7*y**3/6 + y + 7. What is m(x(z))? -5*z**4 + 70*z**3 - 245*z**2 Let l(d) = -9*d - 1. Let j(y) = -174*y**2 + 80*y. Determine l(j(g)). 1566*g**2 - 720*g - 1 Let p(f) = -5*f + 27. Let j(v) = -89*v**2. What is p(j(n))? 445*n**2 + 27 Let m(j) = 8*j**2. Suppose 0 = 2*p - 0 - 4. Suppose -15 = -p*c - 5*a + 9, 5*a = -5*c + 30. Let i(g) = 6 + g**c - 1 - 5. Determine i(m(f)). 64*f**4 Let y(j) = j. Let x(i) be the second derivative of 0*i**2 + 0 + 1/6*i**4 + 0*i**3 - 12*i. Determine x(y(a)). 2*a**2 Let b(c) = -2*c**2 + 20452. Let y(v) = v**2. Determine b(y(k)). -2*k**4 + 20452 Let z(m) = m. Let p = 648 - 345. Let i(o) = -152*o - 151*o - 16*o**2 + p*o. Determine z(i(w)). -16*w**2 Let i(y) = -3*y. Let v(w) = 4*w. Let a(x) = 3*i(x) + 4*v(x). Let m(z) be the second derivative of -z**3/6 + 49*z + 6. Calculate a(m(s)). -7*s Let j(h) = -7*h. Let d(n) = -5*n**2 - 32. What is j(d(y))? 35*y**2 + 224 Let q(p) = 47*p - 2. Let v(o) = 55016*o**2 - 2*o - 2. What is q(v(t))? 2585752*t**2 - 94*t - 96 Let z(o) = -173*o**2. Let v(w) = 1044*w**2. Determine v(z(m)). 31245876*m**4 Let f(v) = 2*v - 2*v - 12*v**2. Let t(o) be the second derivative of -o**4/12 + o + 1099. What is t(f(p))? -144*p**4 Let c(u) = 18*u. Let p(t) = -601*t**2 - 602*t**2 - 4*t + 1210*t**2. What is c(p(f))? 126*f**2 - 72*f Suppose -2*i + 10 = 0, 2*t + i - 19 = -2*i. Let p(r) = 2*r**2 - 5*r**2 + 2*r**2 - 4*r**t. Let f(w) = -3*w**2. Determine f(p(u)). -75*u**4 Let y(q) be the third derivative of q**5/10 - 62*q**2 + 1. Let i(m) = -133*m**2. Calculate i(y(f)). -4788*f**4 Let m(f) = -10*f. Let c(g) = -44*g + 16. Let o(q) = -9*q + 3. Let n(y) = -3*c(y) + 14*o(y). What is n(m(d))? -60*d - 6 Let r(g) = -3*g**2. Let d(s) = -2*s**2. Let t(f) = 9*d(f) - 4*r(f). Let q(k) be the third derivative of k**5/60 - k**2. What is t(q(w))? -6*w**4 Let r(b) = b + 208. Let h(m) = -2*m. Determine r(h(o)). -2*o + 208 Suppose 18*g = 19*g - 40. Let q(v) = 24 + 16 - g + 2*v. Let r(m) = m**2. Determine r(q(a)). 4*a**2 Let v(q) = 3*q. Let z(c) = -29*c**2 + 15*c - 4. Let o(m) = 43*m**2 - 24*m + 7. Let t(i) = 5*o(i) + 8*z(i). Calculate t(v(d)). -153*d**2 + 3 Let a(y) = -2*y**2. Let b(u) = 3125*u. Give b(a(c)). -6250*c**2 Let k(r) = 54*r + 2. Let d(x) = -155*x + 319*x - 163*x. Calculate k(d(g)). 54*g + 2 Let w(q) = 174553*q. Let x(m) = m. Calculate x(w(l)). 174553*l Let j(p) = -2*p**2 + 2680*p. Let s(x) = 93*x. Calculate s(j(h)). -186*h**2 + 249240*h Let y(z) = -2*z**2. Let t(b) = -10*b**2 - 125*b - 134. Give t(y(u)). -40*u**4 + 250*u**2 - 134 Let y(p) = 21067*p. Let s(u) = 29*u**2. Give s(y(j)). 12870736181*j**2 Let d(f) = -13*f**2. Let l(z) = 55324*z. Calculate d(l(o)). -39789684688*o**2 Let c(i) = -10*i**2 - 5*i. Let l(f) = 5*f**2 + 2*f. Let t(h) = -2*c(h) - 5*l(h). Let s(r) = -4*r + 7*r + 3*r + r. Give s(t(z)). -35*z**2 Let p(x) = 19*x. Let f(y) = 6*y**2 - 3*y + 3*y - 22*y**2. Calculate f(p(n)). -5776*n**2 Let f(m) = 2*m. Let a(y) be the second derivative of y**6/120 - 29*y**3/6 + 15*y. Let x(u) be the second derivative of a(u). Determine x(f(w)). 12*w**2 Let b(a) be the third derivative of a**5/60 - 62*a**2. Let r(z) = 9*z. Give r(b(o)). 9*o**2 Let p(h) = 2*h**2 + 6*h - 2. Let v be p(-4). Let m(t) = v*t - 3*t - 3*t + 3*t. Let q(l) = 13*l. Give q(m(z)). 39*z Let y(g) = -5*g. Let j(l) = 84*l**2 - 228*l - 6. Calculate y(j(h)). -420*h**2 + 1140*h + 30 Let y(p) = 3*p**2. Suppose -5*m - 22 = -72. Let i(w) = -12*w - w + m*w. Determine y(i(j)). 27*j**2 Let a(t) = 19*t. Let i(f) be the first derivative of -f**2 - 76. Determine a(i(m)). -38*m Let s(c) = -2*c. Let z(g) = 1197*g + 122. Give z(s(y)). -2394*y + 122 Let j(n) = 9*n**2. Let f(p) = 422829*p. Give f(j(b)). 3805461*b**2 Let z(t) = 5066*t. Let o(l) = 27*l**2. What is o(z(i))? 692937612*i**2 Let q(x) be the second derivative of -7*x**4/12 - x. Let h(n) = -3*n**2 + 35*n - 10. Let a(p) = 2*p**2 - 21*p + 6. Let m(u) = 10*a(u) + 6*h(u). Give m(q(j)). 98*j**4 Let o(q) = -14*q. Let u(j) be the third derivative of 7*j**5/60 + 4*j**2 + 11*j. Determine u(o(w)). 1372*w**2 Let b(g) = 9*g**2. Let t(l) = 1287*l - 2571*l + 1290*l. Calculate t(b(w)). 54*w**2 Let h(p) be the third derivative of -p**6/360 - 13*p**3/6 + 4*p**2. Let g(w) be the first derivative of h(w). Let t(a) = 4*a. Give t(g(f)). -4*f**2 Let x(d) = 11*d**2. Let g(u) be the first derivative of u**3/3 + 11*u - 14. Let w(l) be the first derivative of g(l). Calculate w(x(p)). 22*p**2 Let a(u) = 5846841*u. Let n(g) = -2*g**2. Determine a(n(x)). -11693682*x**2 Let v(o) = 1 + 3 + 1 - 117*o - 5. Let j(p) = 2*p. What is j(v(f))? -234*f Let x = -7 + 9. Let w(z) = -5*z**2 + 2*z**2 - z**2 + 2*z**x. Let u(d) = -4*d. What is u(w(c))? 8*c**2 Let b be (-1)/(-2) + 12/8. Let v(c) = 4*c + b*c - c - 3*c. Let n(g) be the third derivative of g**5/12 + 15*g**2. Give v(n(q)). 10*q**2 Let f(r) be the second derivative of -r**3/3 - 8*r**2 + 2*r + 29. Let q(l) = l - 1. Let z(i) = 8*i - 10. Let a(b) = -10*q(b) + z(b). Calculate f(a(j)). 4*j - 16 Let w = -12 + 16. Let s(m) = -w*m - 252 + 252. Let l(z) = -z**2. Calculate s(l(o)). 4*o**2 Let t(q) = -4*q**2. Let s(o) = -18379*o**2 - 10. Give s(t(x)). -294064*x**4 - 10 Let b(m) = -63*m**2 + 126 - 126 - 5*m**2. Let a(d) = -d. Calculate a(b(n)). 68*n**2 Let s(t) = -6 + 21*t - 8*t - 16*t. Let h(y) = 2*y**2. Calculate s(h(i)). -6*i**2 - 6 Let z(a) = -5*a**2. Let i(c) be the second derivative of 5*c**4/24 - 5*c**2 + 11*c. Let p(w) be the first derivative of i(w). Determine z(p(t)). -125*t**2 Let n(s) = 0*s**2 + 6*s**2 + 2*s**2 - 7*s**2. Let l(u) = -65*u**2. What is l(n(a))? -65*a**4 Let t(x) = 3128*x**2. Let h(s) = -5*s**2 + 6*s. Calculate h(t(p)). -48921920*p**4 + 18768*p**2 Let k(b) be the first derivative of -29*b**4/6 - 28*b - 43. Let u(p) be the first derivative of k(p). Let x(s) = 2*s. Calculate u(x(i)). -232*i**2 Let m(y) = 3*y**2
{ "pile_set_name": "DM Mathematics" }
te prob of picking 3 e when three letters picked without replacement from weecwew. 1/35 Four letters picked without replacement from {o: 3, v: 2, b: 2, f: 4}. Give prob of picking 1 b, 2 f, and 1 v. 4/55 Two letters picked without replacement from nageemageag. Give prob of picking 2 g. 3/55 What is prob of picking 2 c and 1 l when three letters picked without replacement from {l: 1, u: 1, i: 2, c: 2, j: 1}? 1/35 Three letters picked without replacement from skbfffsssssskkkbs. What is prob of picking 2 b and 1 s? 1/85 Calculate prob of picking 1 a and 2 k when three letters picked without replacement from akkkkak. 4/7 What is prob of picking 2 z when two letters picked without replacement from {p: 7, z: 7}? 3/13 Calculate prob of picking 3 r and 1 h when four letters picked without replacement from hrkrhhr. 3/35 Calculate prob of picking 1 e and 1 j when two letters picked without replacement from yybmmbebjmybyyy. 1/105 Two letters picked without replacement from qmqoqqo. What is prob of picking 1 o and 1 q? 8/21 Three letters picked without replacement from hnnn. What is prob of picking 1 h and 2 n? 3/4 Two letters picked without replacement from wbibwbbii. What is prob of picking 1 w and 1 i? 1/6 Calculate prob of picking 1 b and 1 s when two letters picked without replacement from {b: 3, o: 3, s: 1, u: 4}. 3/55 Four letters picked without replacement from gkigghkjjk. What is prob of picking 2 j, 1 i, and 1 g? 1/70 Two letters picked without replacement from {n: 3, i: 2, z: 1, v: 1, h: 3}. What is prob of picking 1 n and 1 v? 1/15 What is prob of picking 2 w and 1 e when three letters picked without replacement from {k: 5, e: 5, w: 2}? 1/44 Calculate prob of picking 2 s and 2 i when four letters picked without replacement from {i: 6, s: 5, e: 4}. 10/91 What is prob of picking 3 v when three letters picked without replacement from vvvrvvvrvvvvvvvrvvvv? 34/57 What is prob of picking 2 r and 1 p when three letters picked without replacement from {l: 5, r: 3, p: 3}? 3/55 Two letters picked without replacement from tvvxxvhvzxz. What is prob of picking 1 z and 1 x? 6/55 What is prob of picking 2 l when two letters picked without replacement from {q: 2, c: 2, l: 2}? 1/15 Two letters picked without replacement from {t: 3, v: 6, j: 4}. What is prob of picking 2 j? 1/13 Calculate prob of picking 2 y, 1 n, and 1 l when four letters picked without replacement from llnlvlyy. 2/35 What is prob of picking 1 i and 1 e when two letters picked without replacement from zzexiszsiiezsiqiiiiq? 8/95 Three letters picked without replacement from {j: 5, m: 3, i: 3}. Give prob of picking 1 j and 2 m. 1/11 Three letters picked without replacement from {f: 2, d: 6}. Give prob of picking 3 d. 5/14 Three letters picked without replacement from {t: 1, l: 4, x: 7, q: 2}. Give prob of picking 1 q, 1 t, and 1 x. 1/26 Four letters picked without replacement from {p: 1, c: 2, l: 1, k: 1, b: 1, z: 1}. What is prob of picking 1 l and 3 c? 0 What is prob of picking 1 b and 1 u when two letters picked without replacement from {k: 1, b: 4, c: 3, u: 3}? 12/55 Three letters picked without replacement from {i: 2, s: 9}. What is prob of picking 2 s and 1 i? 24/55 Four letters picked without replacement from {j: 3, i: 1, d: 1, k: 1, z: 1, r: 6}. What is prob of picking 1 r, 1 k, 1 d, and 1 j? 18/715 Two letters picked without replacement from jjjxjxxjhjxxnhhjjj. Give prob of picking 2 h. 1/51 Calculate prob of picking 4 a when four letters picked without replacement from {a: 7}. 1 Two letters picked without replacement from {k: 2, n: 7, r: 1, e: 2, c: 1, v: 2}. What is prob of picking 1 k and 1 n? 2/15 Calculate prob of picking 1 x, 1 r, and 1 y when three letters picked without replacement from {y: 3, r: 7, x: 2}. 21/110 Calculate prob of picking 2 i and 1 d when three letters picked without replacement from {d: 1, i: 14}. 1/5 What is prob of picking 1 s, 1 y, 1 e, and 1 w when four letters picked without replacement from sswsyyywxsxyvwwex? 16/595 Two letters picked without replacement from {g: 3, m: 1, p: 1}. Give prob of picking 1 m and 1 p. 1/10 Calculate prob of picking 2 k when two letters picked without replacement from {k: 2, t: 2, y: 1}. 1/10 Calculate prob of picking 1 q and 1 b when two letters picked without replacement from {y: 1, q: 4, a: 4, p: 3, b: 1}. 2/39 Four letters picked without replacement from {b: 2, s: 7, a: 3}. What is prob of picking 2 b and 2 s? 7/165 What is prob of picking 1 a and 1 y when two letters picked without replacement from vaaaefyzaaavvavzy? 7/68 Calculate prob of picking 2 w and 1 a when three letters picked without replacement from wawwwwwa. 15/28 What is prob of picking 1 x, 1 y, and 1 u when three letters picked without replacement from {q: 2, x: 8, u: 2, y: 1}? 8/143 Calculate prob of picking 1 t and 1 w when two letters picked without replacement from lywyugt. 1/21 Three letters picked without replacement from ghythypyty. Give prob of picking 1 p, 1 h, and 1 y. 1/15 Four letters picked without replacement from kmcdhrmmkkmkm. Give prob of picking 1 d, 1 m, 1 r, and 1 k. 4/143 Two letters picked without replacement from {i: 2, f: 11}. Give prob of picking 2 f. 55/78 Two letters picked without replacement from zlzzlllzzzz. Give prob of picking 2 z. 21/55 Calculate prob of picking 3 t and 1 a when four letters picked without replacement from {x: 2, v: 1, a: 3, t: 10}. 18/91 Calculate prob of picking 4 v when four letters picked without replacement from {v: 6}. 1 Two letters picked without replacement from {z: 2, o: 1, g: 1, d: 1, s: 1, n: 1}. Give prob of picking 1 g and 1 s. 1/21 Two letters picked without replacement from {v: 13, p: 5}. What is prob of picking 2 v? 26/51 What is prob of picking 1 h and 1 s when two letters picked without replacement from {h: 2, s: 3, e: 6, m: 2}? 1/13 Four letters picked without replacement from hrhrrtttrattt. Give prob of picking 2 t, 1 r, and 1 h. 24/143 What is prob of picking 1 k and 1 b when two letters picked without replacement from bykbyybbkbykbk? 24/91 What is prob of picking 1 l and 1 e when two letters picked without replacement from {s: 2, w: 2, j: 7, v: 4, e: 1, l: 4}? 2/95 What is prob of picking 1 x and 1 j when two letters picked without replacement from {k: 4, n: 1, x: 9, g: 2, j: 1}? 9/136 Two letters picked without replacement from {a: 1, x: 2, d: 3, y: 13}. Give prob of picking 1 a and 1 x. 2/171 Two letters picked without replacement from {h: 6, p: 7}. Give prob of picking 1 h and 1 p. 7/13 Three letters picked without replacement from {m: 5, o: 1, b: 5, n: 3, s: 1}. What is prob of picking 3 b? 2/91 Two letters picked without replacement from jhmfbll. Give prob of picking 1 h and 1 m. 1/21 Calculate prob of picking 4 x when four letters picked without replacement from {v: 1, k: 1, x: 4, t: 1, u: 1}. 1/70 Calculate prob of picking 1 w and 2 u when three letters picked without replacement from cccccwcuckwkuuckc. 3/340 Four letters picked without replacement from {t: 7, e: 1, n: 1}. What is prob of picking 3 t and 1 e? 5/18 Three letters picked without replacement from pprrrrrrprr. Give prob of picking 1 r and 2 p. 8/55 What is prob of picking 2 s and 2 m when four letters picked without replacement from wmmmmwssmmsmms? 24/143 Calculate prob of picking 1 d, 1 s, and 1 b when three letters picked without replacement from {z: 1, e: 2, b: 2, s: 1, u: 1, d: 1}. 1/28 Calculate prob of picking 4 c when four letters picked without replacement from {c: 4, x: 9, b: 1}. 1/1001 Four letters picked without replacement from tmujjujjth. Give prob of picking 2 u and 2 t. 1/210 Four letters picked without replacement from krkktkwktgwmwkktkk. Give prob of picking 1 k, 2 w, and 1 g. 3/340 Three letters picked without replacement from uzuzuzuu. Give prob of picking 3 u. 5/28 Two letters picked without replacement from zgzwzzgg. Give prob of picking 1 z and 1 w. 1/7 Two letters picked without replacement from pmmmmmppppmmmmmmmp. Give prob of picking 2 m. 22/51 What is prob of picking 1 t and 1 l when two letters picked without replacement from pxotl? 1/10 Calculate prob of picking 2 k when two letters picked without replacement from {w: 2, k: 2, c: 2, d: 1, q: 3, r: 2}. 1/66 Four letters picked without repl
{ "pile_set_name": "DM Mathematics" }
culate the greatest common divisor of 42 and 2688. 42 What is the highest common divisor of 430 and 2537? 43 Calculate the highest common factor of 24 and 1272. 24 Calculate the greatest common divisor of 78 and 6. 6 Calculate the highest common factor of 15 and 810. 15 What is the highest common factor of 21 and 119? 7 What is the greatest common factor of 66 and 286? 22 Calculate the highest common factor of 136 and 663. 17 Calculate the highest common divisor of 80 and 48. 16 What is the greatest common divisor of 153 and 81? 9 Calculate the highest common divisor of 38 and 494. 38 Calculate the highest common factor of 34 and 1479. 17 Calculate the greatest common factor of 8 and 52. 4 What is the highest common factor of 16 and 28? 4 Calculate the greatest common divisor of 5630 and 20. 10 Calculate the highest common factor of 803 and 99. 11 What is the highest common factor of 943 and 3239? 41 Calculate the highest common divisor of 1112 and 417. 139 Calculate the greatest common factor of 18 and 576. 18 Calculate the highest common factor of 54 and 198. 18 What is the greatest common factor of 30080 and 16? 16 What is the greatest common factor of 201 and 268? 67 Calculate the greatest common factor of 4582 and 158. 158 Calculate the highest common divisor of 1691 and 532. 19 Calculate the highest common factor of 170 and 595. 85 Calculate the greatest common divisor of 16 and 12. 4 Calculate the highest common factor of 8556 and 1860. 372 Calculate the greatest common factor of 1300 and 6175. 325 Calculate the highest common factor of 98 and 364. 14 Calculate the highest common factor of 1 and 393. 1 Calculate the greatest common divisor of 30 and 585. 15 Calculate the greatest common divisor of 676 and 156. 52 Calculate the highest common divisor of 1188 and 12. 12 What is the highest common divisor of 810 and 20? 10 What is the highest common factor of 58 and 2581? 29 What is the greatest common divisor of 10 and 39170? 10 Calculate the highest common factor of 625 and 100. 25 Calculate the greatest common factor of 63 and 9. 9 Calculate the greatest common factor of 595 and 238. 119 Calculate the greatest common divisor of 245 and 441. 49 What is the highest common divisor of 84 and 11928? 84 What is the greatest common divisor of 252 and 360? 36 Calculate the highest common divisor of 507 and 975. 39 Calculate the greatest common divisor of 729 and 54. 27 What is the highest common factor of 77 and 35? 7 Calculate the highest common factor of 8 and 568. 8 What is the greatest common divisor of 225 and 50? 25 Calculate the highest common factor of 2611 and 42. 7 Calculate the greatest common divisor of 2040 and 25. 5 What is the highest common factor of 16 and 2848? 16 Calculate the highest common divisor of 729 and 9. 9 Calculate the greatest common factor of 40 and 10560. 40 Calculate the greatest common divisor of 8 and 11000. 8 What is the highest common divisor of 66 and 22? 22 Calculate the highest common factor of 30 and 453. 3 Calculate the greatest common factor of 640 and 3120. 80 What is the greatest common factor of 2622 and 276? 138 What is the greatest common divisor of 121 and 1892? 11 What is the highest common factor of 1925 and 77? 77 What is the greatest common divisor of 23 and 12374? 23 What is the highest common factor of 16 and 11888? 16 What is the highest common factor of 120 and 11520? 120 What is the greatest common divisor of 2500 and 20? 20 What is the highest common divisor of 246 and 318? 6 Calculate the highest common divisor of 75 and 275. 25 What is the highest common divisor of 35 and 483? 7 What is the greatest common divisor of 88 and 968? 88 Calculate the greatest common divisor of 3 and 68. 1 What is the greatest common divisor of 28 and 630? 14 Calculate the highest common divisor of 68 and 1530. 34 What is the highest common divisor of 32 and 40? 8 Calculate the highest common factor of 6 and 1014. 6 What is the greatest common factor of 4655 and 95? 95 Calculate the greatest common factor of 92 and 989. 23 What is the highest common factor of 18 and 2097? 9 What is the greatest common divisor of 36 and 9? 9 Calculate the highest common factor of 2088 and 2871. 261 What is the highest common factor of 144 and 18? 18 What is the highest common factor of 12 and 29268? 12 Calculate the greatest common factor of 63 and 294. 21 What is the highest common divisor of 880 and 1460? 20 What is the highest common divisor of 14 and 203? 7 What is the greatest common factor of 530 and 10? 10 What is the highest common factor of 7 and 112? 7 What is the highest common divisor of 513 and 108? 27 Calculate the greatest common divisor of 14 and 49. 7 What is the highest common factor of 15 and 915? 15 What is the highest common factor of 360 and 1035? 45 What is the greatest common factor of 49 and 98? 49 Calculate the highest common factor of 92 and 17687. 23 What is the greatest common divisor of 59 and 413? 59 What is the highest common divisor of 60 and 1940? 20 Calculate the greatest common factor of 19745 and 55. 55 Calculate the highest common divisor of 78 and 130. 26 Calculate the greatest common factor of 43 and 1204. 43 What is the highest common factor of 80 and 100? 20 Calculate the highest common factor of 9 and 81. 9 What is the greatest common factor of 567 and 119? 7 Calculate the highest common divisor of 1105 and 1615. 85 Calculate the highest common divisor of 232 and 62872. 232 Calculate the greatest common divisor of 81 and 675. 27 What is the greatest common factor of 1734 and 68? 34 What is the highest common divisor of 10 and 7070? 10 What is the highest common factor of 144 and 18? 18 What is the greatest common divisor of 12 and 4128? 12 What is the greatest common divisor of 5136 and 2996? 428 What is the highest common factor of 1974 and 94? 94 What is the highest common factor of 36 and 324? 36 What is the highest common factor of 46 and 8349? 23 What is the highest common divisor of 1920 and 30? 30 What is the highest common divisor of 56 and 434? 14 Calculate the greatest common divisor of 3976 and 112. 56 What is the highest common factor of 154 and 154? 154 Calculate the greatest common divisor of 423 and 387. 9 Calculate the greatest common divisor of 186 and 24. 6 Calculate the greatest common factor of 3068 and 286. 26 What is the highest common divisor of 3472 and 16? 16 Calculate the highest common divisor of 7055 and 249. 83 What is the highest common divisor of 1512 and 840? 168 What is the highest common factor of 2 and 79? 1 What is the highest common divisor of 256 and 8? 8 What is the highest common divisor of 17 and 1037? 17 What is the greatest common factor of 1 and 12? 1 What is the greatest common factor of 50 and 215? 5 What is the highest common divisor of 29 and 493? 29 What is the highest common factor of 400 and 60? 20 Calculate the highest common factor of 188 and 2021. 47 What is the greatest common factor of 1638 and 39? 39 Calculate the greatest common factor of 52 and 8. 4 Calculate the highest common factor of 11 and 374. 11 Calculate the highest common divisor of 7047 and 87. 87 What is the highest common factor of 413 and 105? 7 What is the greatest common factor of 43137 and 9? 9 What is the greatest common divisor of 147 and 6468? 147 Calculate the greatest common factor of 852 and 497. 71 What is the highest common factor of 23 and 14513? 23 Calculate the highest common factor of 19 and 437. 19 What is the greatest common divisor of 588 and 1323? 147 Calculate the greatest common divisor of 14025 and 165. 165 Calculate the greatest common factor of 70 and 600. 10 Calculate the highest common divisor of 3372 and 12. 12 What is the highest common divisor of 171 and 2907? 171 Calculate the highest common factor of 5 and 1501. 1 What is the highest common divisor of 198 and 4257? 99 What is the highest common factor of 26 and 143? 13 Calculate the highest common divisor of 48 and 1048. 8 What is the greatest common divisor of 6776 and 352? 88 What is the greatest common divisor of 1406 and 152? 38 Calculate the greatest common divisor of 1680 and 240. 240 Calculate the greatest common factor of 704 and 132. 44 Calculate the highest common di
{ "pile_set_name": "DM Mathematics" }
de 81? False Does 120 divide 1453? False Is 928 a multiple of 3? False Is 2544 a multiple of 79? False Is 967 a multiple of 5? False Does 75 divide 16844? False Is 18 a factor of 864? True Is 45 a factor of 315? True Is 1769 a multiple of 29? True Is 118482 a multiple of 9? False Is 23760 a multiple of 72? True Does 13 divide 2119? True Does 18 divide 20466? True Is 1977 a multiple of 41? False Is 3372 a multiple of 102? False Is 5 a factor of 729? False Does 27 divide 1323? True Is 1708 a multiple of 14? True Is 3 a factor of 366? True Is 400 a multiple of 10? True Is 8344 a multiple of 56? True Is 5 a factor of 225? True Does 16 divide 3916? False Is 20 a factor of 30020? True Is 71 a factor of 2126? False Is 19089 a multiple of 21? True Does 7 divide 23275? True Is 2443 a multiple of 9? False Is 9462 a multiple of 57? True Is 6500 a multiple of 18? False Is 6 a factor of 1438? False Is 21771 a multiple of 68? False Does 27 divide 540? True Does 9 divide 117? True Is 3478 a multiple of 74? True Is 134 a factor of 1206? True Does 37 divide 21201? True Does 9 divide 1341? True Is 137 a factor of 10001? True Does 23 divide 11082? False Does 71 divide 30246? True Is 38401 a multiple of 13? False Is 623 a multiple of 31? False Is 108 a factor of 2113? False Is 1804 a multiple of 11? True Does 96 divide 4800? True Is 112 a multiple of 28? True Is 6 a factor of 65522? False Is 464 a multiple of 64? False Does 13 divide 104? True Is 1098 a multiple of 9? True Is 12 a factor of 444? True Is 2610 a multiple of 90? True Is 19 a factor of 66? False Does 16 divide 693? False Is 19 a factor of 92? False Is 5 a factor of 1590? True Does 38 divide 74480? True Is 25 a factor of 125? True Does 12 divide 10610? False Is 602 a multiple of 17? False Is 2 a factor of 25? False Is 24534 a multiple of 10? False Is 1021 a multiple of 23? False Is 10 a factor of 160? True Is 2479 a multiple of 42? False Does 57 divide 38304? True Is 20400 a multiple of 50? True Does 18 divide 1406? False Is 290 a multiple of 10? True Is 153 a factor of 1712? False Is 8131 a multiple of 17? False Is 5 a factor of 2275? True Is 4 a factor of 1016? True Is 4 a factor of 80? True Is 950 a multiple of 25? True Does 2 divide 128? True Is 4 a factor of 76? True Is 22864 a multiple of 8? True Is 8 a factor of 264? True Is 91 even? False Is 13 a factor of 425? False Is 5 a factor of 565? True Is 5507 a multiple of 10? False Does 98 divide 33739? False Is 75 a factor of 2775? True Is 1091 a multiple of 86? False Does 335 divide 58710? False Is 5 a factor of 615? True Does 57 divide 1026? True Is 8 a factor of 624? True Does 5 divide 15? True Is 11185 a multiple of 8? False Is 176 a factor of 114970? False Is 6720 a multiple of 70? True Is 859 a multiple of 11? False Is 1645 a multiple of 7? True Is 100340 a multiple of 128? False Is 24 a factor of 37416? True Does 20 divide 2314? False Does 55 divide 2420? True Is 1582 a multiple of 51? False Is 918 a multiple of 54? True Is 47 a factor of 6298? True Is 82286 a multiple of 23? False Is 35927 a multiple of 4? False Is 84489 a multiple of 7? False Does 42 divide 1386? True Is 198 a multiple of 22? True Is 25 a factor of 202? False Does 18 divide 306? True Is 17717 a multiple of 176? False Is 435 a multiple of 29? True Does 23 divide 1361? False Does 118 divide 11338? False Is 28 a factor of 13208? False Is 45 a multiple of 5? True Is 1365 a multiple of 21? True Is 29 a factor of 24184? False Is 1294 a multiple of 21? False Does 13 divide 14950? True Is 3445 a multiple of 13? True Does 9 divide 2412? True Is 3 a factor of 1742? False Is 10370 a multiple of 17? True Is 35360 a multiple of 17? True Is 720 a multiple of 24? True Is 473 a multiple of 43? True Is 2517 a multiple of 66? False Is 21163 a multiple of 9? False Is 1124 a multiple of 4? True Is 49504 a multiple of 68? True Is 26 a factor of 1326? True Is 28 a factor of 1428? True Is 6 a factor of 3198? True Does 6 divide 9598? False Is 6762 a multiple of 69? True Is 854 a multiple of 7? True Is 4189 a multiple of 33? False Does 55 divide 11801? False Is 38 a factor of 6136? False Is 7 a factor of 595? True Is 656 a multiple of 16? True Is 1146 a multiple of 28? False Is 11310 a multiple of 13? True Does 3 divide 41? False Does 212 divide 35192? True Is 6 a factor of 561? False Is 95 a factor of 166987? False Is 31 a factor of 565? False Is 4120 a multiple of 33? False Is 21 a factor of 315? True Does 33 divide 11814? True Is 81 a multiple of 45? False Is 213 a multiple of 11? False Does 16 divide 296? False Is 16 a factor of 8697? False Is 3 a factor of 139? False Is 10 a factor of 5630? True Is 4250 a multiple of 9? False Is 83 a factor of 24044? False Is 88 a factor of 773? False Is 15 a factor of 8355? True Is 14762 a multiple of 22? True Is 293 a multiple of 7? False Does 24 divide 5755? False Does 28 divide 4058? False Does 12 divide 280? False Is 924 a multiple of 28? True Does 59 divide 8686? False Is 7675 a multiple of 25? True Is 126 a multiple of 6? True Does 48 divide 9135? False Does 47 divide 2444? True Does 20 divide 832? False Does 73 divide 63145? True Does 8 divide 473? False Is 246 a multiple of 3? True Is 4345 a multiple of 11? True Is 12 a factor of 26574? False Is 832 a multiple of 4? True Does 22 divide 2310? True Is 246 a multiple of 82? True Is 9206 a multiple of 108? False Does 24 divide 464? False Is 109 a factor of 36515? True Is 1530 a multiple of 15? True Is 30 a factor of 5730? True Is 144 a multiple of 53? False Does 2 divide 480? True Is 76 a multiple of 19? True Does 3 divide 4260? True Does 4 divide 7596? True Is 851 a multiple of 37? True Is 169 a factor of 8179? False Does 47 divide 388? False Is 5 a multiple of 5? True Is 5 a factor of 883? False Does 30 divide 6387? False Does 30 divide 2310? True Does 36 divide 33264? True Does 46 divide 40894? True Is 76 a multiple of 2? True Does 19 divide 1173? False Does 24 divide 336? True Is 35 a factor of 1708? False Is 902 a multiple of 15? False Does 103 divide 22074? False Is 7 a factor of 393? False Is 3087 a multiple of 49? True Does 20 divide 12750? False Is 17 a factor of 3318? False Is 39 a factor of 5799? False Is 192 a factor of 85131? False Is 143 a factor of 27456? True Does 11 divide 3385? False Is 9 a factor of 792? True Does 8 divide 2872? True Does 74 divide 4366? True Is 28 a factor of 308? True Is 1604 a multiple of 11? False Is 16097 a multiple of 38? False Does 44 divide 1276? True Does 57 divide 350? False Is 2753 a multiple of 80? False Is 3905 a multiple of 11? True Is 76 a factor of 63549? False Is 8 a factor of 48? True Is 2100 a multiple of 3? True Is 1584 a multiple of 72? True Does 87 divide 3636? False Is 15 a factor of 17924? False Does 50 divide 1300? True Is 1952 a multiple of 15? False Does 9 divide 1423? False Does 60 divide 2995? False Does 32 divide 112? False Is 15 a factor of 155730? True Is 4 a factor of 1168? True Is 175 a multiple of 7? True Is 6122 a multiple of 142? False Does 135 divide 39417? False Is 693 a multiple of 9? True Is 77 a factor of 3157? True Does 2 divide 99? False Is 297 a multiple of 33? True Is 6 a factor of 10459? False Is 4853 a multiple of 3? False Is 211 a multiple of 28? False Is 268 a multiple of 4? True Does 5 divide 5634? False Is 2349 a multiple of 29? True Is 19 a factor of 61? False Does 295 divide 20355? True Does 10 divide 16660? True Is 83 a factor of 7464? False Is 15913 a multiple of 14? False Is 26 a factor of 5954? True Does 12 divide 2856? True Is 12 a factor of 443? False Is 13 a factor of 208? True Does 55 divide 16885? True Does 45 divide 563? False Does 79 divide 2054? True Does 3 divide 63? True Is 12 a factor of 889? False Is 7600 a multiple of 16? True Is 6 a factor of 762? True Does 41 divide 5699? True Is 18724 a multiple of 151? True Is 1360 a multiple of 33? False Does 8 divide 2114? False Is 71 a factor of 20965? False Does 11 divide 308? True Is 6621 a multiple of 32? False Is 4470 a multiple of 26? False Is 188 a factor of 12596? True Does 14 divide 965? False Is 61 a factor of 366? True Does 34 divide 7998? False Does 7 divide 945? True Does 32 divide 640? True Is 119 a factor of 89519? False Does 5 divide 795? T
{ "pile_set_name": "DM Mathematics" }
eds digit of h(t)? 1 Let d(m) = -m**3 + 4*m**2 + 2*m - 4. Let b be d(4). Suppose u - 1127 = -b*l + 4*u, 2*l - 3*u = 571. What is the units digit of l? 8 What is the tens digit of (-5*(-6)/(-150))/(10/(-356350))? 2 Suppose y = 0, 2*r = 7*r - 2*y - 92415. What is the hundreds digit of r? 4 Let w = 4087 + -4132. Let f = -45 - -25. Let g = f - w. What is the tens digit of g? 2 Let l(t) = t**3 + 8*t**2 - 11*t - 11. Let n be l(-8). Let x = 76 - n. What is the tens digit of (42 + 5)/(x/(-2))? 9 Let w = -52 + 54. Let k(b) = 21*b - 3. Let p be k(w). Suppose -33 = -8*u + p. What is the units digit of u? 9 Suppose 4*q - 120 = 316. Suppose 4*d - 2*d = -5*c + 255, -4*c = -20. Let m = q + d. What is the tens digit of m? 2 Let x(l) be the third derivative of 11*l**4/24 + 85*l**3/6 + 18*l**2. What is the tens digit of x(20)? 0 Let h(x) = 97*x**3 + 6*x**2 - 29*x + 28. What is the hundreds digit of h(5)? 1 What is the units digit of (-51)/17 + 9643/1? 0 Suppose -942 = -22*g + 444. What is the units digit of g? 3 Let y be (33/55)/(1/(-145)). Let b = y + 547. What is the hundreds digit of b? 4 Let g be 5/(-4) + -99*9/(-108). Suppose -g*s - 72 = -9*s. What is the tens digit of s? 3 Let c be (4 - 2) + (-12)/(-4). Suppose 10*n = c*n + 1560. What is the hundreds digit of n? 3 Let w be 0 + (-3 - -5) - 2 - -236. Suppose 0 = 6*y + 50 - w. Let k = 56 + y. What is the tens digit of k? 8 Suppose 0 = -893*o + 782*o + 666. Let t(s) = -s**3 - 4*s**2 + 1. Let r be t(-4). What is the tens digit of (-63)/(r/((-4)/o))? 4 Let x = -4 + 7. Suppose 27 = -3*n + 42. Suppose x*w = n*z + 6*w - 111, 3*z + 2*w - 67 = 0. What is the units digit of z? 1 Suppose 9*c + 841 = 130. Let y = c + 84. Suppose 2*u - 365 = o, 2*u + y*o - 212 = 171. What is the units digit of u? 4 Suppose 0 = -24*b + 16 + 8. What is the units digit of ((-20)/16)/(3/(-804)*b)? 5 Let y(h) = 2103*h - 4. Let k be y(-2). Let b = -2486 - k. Suppose 0 = -6*x + b - 386. What is the tens digit of x? 2 What is the tens digit of ((-118)/5 + 14)*(-1410)/4? 8 Let a(d) = 479*d**2 - 5*d - 5. Let l be a(-2). Suppose -5*k + 4770 = 4*r, 0 = k + k - r - l. What is the units digit of k? 8 Let t = 1183 + 4873. What is the thousands digit of t? 6 Let j(n) = -n**2 - 9*n + 5. Let m be j(-9). Suppose m*f + 2510 = 10*f. What is the units digit of f? 2 Suppose 0 = 2*q + 4*m - 16160, -3*q + 2*m - 4596 = -28828. What is the tens digit of q? 7 Suppose -21*g + 16*g = -505. Let r = 148 - g. Let l = r - 23. What is the tens digit of l? 2 Suppose -7*d + 942 = 648. What is the hundreds digit of (1/(-2))/(d/(-166152))? 9 Suppose -42*d - 118 = 50. What is the tens digit of (d + (-29)/(-5))/((-12)/(-80))? 1 Suppose -p - 5*f = 69, 4*p - 4*f + 82 = 2*p. Let j = 43 + -186. Let c = p - j. What is the tens digit of c? 9 What is the units digit of (-4)/9 - 8317166/(-1287)? 2 Suppose 2*y - 50 = 4*t, t - 28 = -y - 15. Suppose -601 = y*i - 22854. What is the hundreds digit of i? 3 Let h = 41093 + -20536. What is the thousands digit of h? 0 Let h(z) be the third derivative of 0 + 1/8*z**4 + 0*z - 5/2*z**3 + 6*z**2. What is the units digit of h(9)? 2 Let x(q) = 8*q + 6. Let u be x(3). Suppose -15*v + 30 = -u. Suppose -6*a = -v*a - j - 339, -5*j = -2*a + 335. What is the tens digit of a? 7 Suppose 5*l = l + 836. Suppose -11 = -5*m + 2*t + 19, -21 = m + 5*t. Suppose -l = -x + m. What is the units digit of x? 3 Let r(m) be the third derivative of -35*m**4/12 + 43*m**3/6 - 2*m**2 - 10*m. What is the units digit of r(-4)? 3 Let v(h) = 28*h + 172. Let x be v(-6). What is the units digit of (x/6)/((-6916)/1155 + 6)? 5 Let f = 430 - 427. What is the units digit of 448/84*f/2 + -1? 7 Suppose 2*k - 4*w = 878 - 14, -3*k + 4*w = -1286. Let s = k - -397. What is the tens digit of s? 1 Suppose 3*g = -4*h + 26536, 4*g - 3314 = -4*h + 32074. What is the units digit of g? 2 Let u = -26 + 38. Let f(g) = -4*g + 0*g + 3*g**2 - 10*g - g**2 + 20. What is the tens digit of f(u)? 4 Let u = -4291 - -18772. What is the units digit of u? 1 Let b = 57275 - 26085. What is the units digit of b? 0 Suppose -7*n + 5*n = 4*a + 180, 2*a = 3*n + 286. Let y = n - -97. What is the units digit of y? 3 Let i(w) = 5*w**2 + 15*w - 160. Let u be i(-21). Suppose 1370 = 140*h - 136*h + 2*x, x = 5*h - u. What is the units digit of h? 5 What is the tens digit of 144/132 + (-2475795)/(-209)? 4 Let c(y) = -15856*y**3 + 3*y**2 + 8*y + 6. What is the thousands digit of c(-1)? 5 Suppose 1317492 = 332*h - 296*h. What is the units digit of h? 7 Suppose 5*c = f + 2061, -5*f + 1001 = 5*c - 1054. Suppose 0 = 129*p - 1155 - 393. Suppose -c = -p*o + 908. What is the hundreds digit of o? 1 Suppose -4*g + 3*y = -86120, 74*g = 70*g - y + 86136. What is the thousands digit of g? 1 Suppose 0 = 5*a - 25*a + 247920. What is the tens digit of a? 9 Let v = 227 + -223. Suppose -v*n + 1087 = -u - 696, 0 = u + 3. What is the tens digit of n? 4 What is the hundreds digit of 48441 - (0 + 4 + -16) - -4? 4 Suppose 12*k - 17*k + 150 = 0. Let i = 60 - k. What is the hundreds digit of (i/9)/5*(-2115)/(-10)? 1 Let r = 7908 + -2264. What is the tens digit of r? 4 Suppose -133*w + 4405418 = -13*w - 376822. What is the hundreds digit of w? 8 Suppose -7*a + 9*a = 10. What is the units digit of -135*(-12 + a - -2)? 5 Let q(i) = -3*i - 6. Let g be q(-3). Suppose 698 = g*x - 34. What is the units digit of x? 4 What is the tens digit of 48/(-168) + (2 - 41113/(-7))? 7 Let v(k) = k**3 - 11*k**2 + 2*k - 17. Let l be v(11). Suppose -l*c + 1 = 16. Let n(h) = -2*h**3 + h**2 - 2*h - 3. What is the units digit of n(c)? 6 Suppose -29400 = -14*y - 10*y. Suppose -y = -4*i - 3*x, 5*i - 4*i - 3*x = 325. What is the units digit of i? 0 Suppose 3930 + 2612 + 1357 = m. What is the thousands digit of m? 7 Let i be ((-2)/4*1)/((-23)/230). Suppose 2273 = i*y - 2*r, -r - 1832 = -4*y + 4*r. What is the tens digit of y? 5 Let q = -125 - -129. What is the tens digit of (3 - (9 + q))/((-2)/11)? 5 Let w = 88 + -71. Let b = w + -20. What is the hundreds digit of b + -1*(-5 + 2 - 114)? 1 Suppose -7*c - 17*c - 6*c + 386160 = 0. What is the thousands digit of c? 2 Suppose -140 + 864 = 4*u + 5*j, -4*u - 3*j + 716 = 0. Let o be 661 + (-1)/(-1) - 0. Suppose 3*h - o = -2*n, 0 = -h - n + u + 45. What is the units digit of h? 0 Let l = 372 - 330. Suppose 450 = -l*i + 52*i. What is the tens digit of i? 4 Let j = -45 + 48. Suppose -2*g = -j*y + 950, y - 3*g - 7 = 319. What is the units digit of y? 4 Let m = -181 + 175. Suppose -5*w = -3*z - 36, 0 = -3*z + 2*w - 53 + 8. Let h = m - z. What is the tens digit of h? 1 Let x(c) = 7131*c - 2640. What is the ten thousands digit of x(4)? 2 Suppose 0 = 2*j - 3*o - 1078, 10 = 3*o + 4. Suppose 8*n + j = -1410. What is the units digit of n/(-3)*42/28? 2 What is the units digit of 2*324/(-216)*(-2957)/3? 7 Let f(d) = -d**3 - 4*d**2 - 15*d - 10. Let o be f(-4). Suppose -2*z + o - 2 = 0. What is the units digit of z? 4 Let m be 5 + (7 - 6/3). What is the hundreds digit of 390 + m/(-15)*-6? 3 Suppose 0 = -18*t + 8055 - 2619. What is the tens digit of t? 0 Let n(t) = -117*t - 1860. What is the tens digit of n(-65)? 4 Suppose d + 115 = 118. Suppose d*p = -2*x + 912 + 2012, 0 = 3*p + 12. What is the units digit of x? 8 Let l(o) = 80*o**2 - 4*o - 22. Let t be l(4). Let h = -669 + t. What is the tens digit of h? 7 Suppose -4*c + 3*g + g - 16 = 0, 4*g = 16. Suppose 9*i + c + 63 = 0. Let n(m) = -m**2 - 9*m - 12. What is the units digit of n(i)? 2 Let u(w) = w**2 + 2*w - 1. Let n(b) = 2*b**2 + 9*b + 11. Let y(z) = n(z) - 3*u(z). Let d(r) = -r**2 - 2*r + 3. Let a be d(-3). What is the units digit of y(a)? 4 Let t = -105 + 108. Suppose -814 = -t*u + 416. What is the tens digit of u? 1 Let v(t) = -2*t**3 - 15*t**2 - 30*t - 18. Let i(k) = k**2 + 19*k - 129. Let a be i(-24). What is the hundreds digit of v(a)? 4 Let o(v) = 2793*v**2 + 136*v + 537. What is the tens digit of o(-4)? 8 Let v(z) = 6*z - 165. Let q be v(30). Let y(d) = -d**3 + 14*d**2 + 18*d + 8. What is the units digit of y(q)? 3 Let v(s) = -41*s**3 + 14*s**2 + 17*s + 53. What is the thousands digit of v(-8)? 1 Suppose -4*u - 4*g - 16 = 0, 0*u = -u - 3*g - 6. What is the hundreds digit of 441 - (-4 + u/(-3))? 4 Let z be (11/11)/(((-2)/6)/(-1)). Suppose -3*p + 2*k + 1185 = -33, -4*p + z*k = -1625. Su
{ "pile_set_name": "DM Mathematics" }
z). Factor m(l). -2*l**2*(l - 1)*(l + 1) Let s be ((-2)/(-4))/(7/6). Let g be 54*((-2466)/3402)/(-137). Suppose 0 + s*x**2 + 0*x**3 + g*x - 1/7*x**4 = 0. Calculate x. -1, 0, 2 Determine s, given that 421*s**3 + 20*s**2 - 224*s - 419*s**3 - 128*s**2 = 0. -2, 0, 56 Let f = -428/7 + 432/7. Let n(z) be the second derivative of -7/10*z**5 - 32/21*z**3 + 4*z - 11/6*z**4 - f*z**2 + 0. Solve n(p) = 0 for p. -1, -2/7 Let h be (-1049)/(-91) - 47/(10857/495). Determine s, given that -h*s + 60/13 - 2/13*s**3 + 64/13*s**2 = 0. 1, 30 Let u(t) be the first derivative of -16*t**3 - 2/25*t**5 - 64/5*t**2 + 21/10*t**4 + 161 + 3072/5*t. Find o such that u(o) = 0. -3, 8 Suppose 7*y = 9*y + 3*d - 16, 4*y = -5*d + 28. Determine g so that 1 + g + 15 + 5*g - y*g - 2*g**2 = 0. -2, 4 Let u(g) be the third derivative of g**5/60 - 4*g**4/3 - 34*g**3/3 + 4204*g**2. Factor u(q). (q - 34)*(q + 2) Let i(n) = -31*n + 86. Let o be i(2). Factor -2*y - 5476 + 7*y - y**2 + 61*y + o*y + 58*y. -(y - 74)**2 Let l(x) = 13*x**2 + 317*x + 340. Let d(u) = -15*u**2 - 314*u - 341. Let p(h) = 6*d(h) + 7*l(h). Factor p(j). (j + 1)*(j + 334) Let u(w) be the second derivative of -1/12*w**4 - 1/180*w**5 - 1/2*w**2 - 21*w + 0 - 4/9*w**3. Let l(z) be the first derivative of u(z). Factor l(f). -(f + 2)*(f + 4)/3 Factor 2/13*t**3 - 336/13 - 60/13*t**2 + 394/13*t. 2*(t - 21)*(t - 8)*(t - 1)/13 Let j(t) = -t**3 + 9*t**2 + 20*t + 24. Let m be j(11). Factor 8*w + 777*w**2 - 389*w**m - 387*w**2. w*(w + 8) Let k(q) = 13*q**2 + 896*q - 909. Let i be k(1). Let d be -1 - -1 - 2/(-1). Factor 1/4*p**3 + 0*p**d + i + 0*p. p**3/4 Suppose 11*m - 18*m = -14. Determine f so that -2*f**4 - 2*f**3 + 20*f**2 + 6*f**m + f - 3*f - 24 + 4*f**3 = 0. -3, -1, 1, 4 What is n in 4/3*n**3 - 908*n + 0 - 896/3*n**2 = 0? -3, 0, 227 Let p(d) be the first derivative of 7*d**2 - 1/84*d**4 + 0*d**5 - 22 + 0*d**3 + 1/420*d**6 + 0*d. Let l(k) be the second derivative of p(k). Factor l(x). 2*x*(x - 1)*(x + 1)/7 Let b(i) = -80*i**3 + 3*i**2 + 5*i + 2. Let l be b(-1). Let j(k) = -k**2 - k + 2. Let u be j(0). What is r in 8*r - 48*r - 20 - l - 4*r**u = 0? -5 Let d = 2529 - 2526. Let b(x) be the second derivative of 1/294*x**7 + 1/28*x**5 + 0*x**2 + 0*x**3 - 1/35*x**6 + 0*x**4 + d*x + 0. Factor b(l). l**3*(l - 5)*(l - 1)/7 Let r(k) = 2*k**2 + 995*k + 18185. Let n be r(-19). Factor -16/7*q**2 + 0 - 2/7*q**3 - n*q. -2*q*(q + 1)*(q + 7)/7 Let w(v) be the first derivative of -36/7*v**2 + 2/21*v**3 - 152/7*v - 61. Factor w(t). 2*(t - 38)*(t + 2)/7 Let v be (1 - -1)/((-2)/424). Let i = -422 - v. Suppose 0 - 1/9*n**4 + 0*n + 0*n**i - 2/9*n**3 = 0. What is n? -2, 0 Let q(u) be the second derivative of -67*u - 179/18*u**4 - 1/90*u**6 - 289/6*u**2 - 1 + 34*u**3 + 3/5*u**5. Find d such that q(d) = 0. 1, 17 Let p(n) be the second derivative of -n**5/4 + 105*n**4/4 + 215*n**3/2 + 325*n**2/2 - 6*n - 5. Factor p(x). -5*(x - 65)*(x + 1)**2 Factor -306*w + 98/3*w**2 - 2430 - 2/3*w**3. -2*(w - 27)**2*(w + 5)/3 Let f(c) be the second derivative of 3*c**6/25 - 399*c**5/25 - 538*c**4/15 - 24*c**3 - 162*c + 8. Factor f(a). 2*a*(a - 90)*(3*a + 2)**2/5 Let r(z) be the second derivative of -8*z**7/7 + 444*z**6/5 - 1323*z**5/20 + 55*z**4/4 + 48*z - 4. Factor r(t). -3*t**2*(t - 55)*(4*t - 1)**2 Let i(p) = -10*p**2 + 106*p - 606. Let d(q) = 33*q**2 - 321*q + 1821. Let z(g) = -2*d(g) - 7*i(g). Find u such that z(u) = 0. 10, 15 Let r(m) be the first derivative of -2*m**3/33 - 2212*m**2/11 - 2446472*m/11 + 5590. Factor r(v). -2*(v + 1106)**2/11 Let f(g) be the first derivative of g**6/6 - 3*g**5/5 - 3*g**4/4 + 11*g**3/3 - 3*g**2 - 1120. Solve f(l) = 0 for l. -2, 0, 1, 3 Solve 98/9*t**3 + 80/9*t + 2/9*t**5 + 8/3*t**4 + 0 + 52/3*t**2 = 0 for t. -5, -4, -2, -1, 0 Let h(v) be the first derivative of 5*v**3/3 + 695*v**2/2 + 3990*v - 14260. Factor h(n). 5*(n + 6)*(n + 133) Let t(c) = c + 2. Let m(a) = a**2 - 16*a + 20. Let h(g) = -m(g) - 5*t(g). Let w be h(6). Factor w + 0*r**2 + 1/4*r**3 - 1/4*r. r*(r - 1)*(r + 1)/4 Let h(d) be the first derivative of -4*d**6/45 + d**5/6 + 7*d**4/18 - 2*d**3/9 + 12*d - 33. Let o(c) be the first derivative of h(c). Solve o(f) = 0 for f. -1, 0, 1/4, 2 Let m(o) be the first derivative of 1/4*o**6 - 1/2*o**3 + 2*o - 2*o**2 + 17/8*o**4 - 13/10*o**5 - 22. Find c, given that m(c) = 0. -2/3, 1, 2 Suppose -4*a + 417 - 81 = 0. Let w be 21/a - (-38)/8. Let r(k) = 6*k**3 - k**2 - 6*k + 6. Let d(q) = -q**3 + q - 1. Let y(x) = w*d(x) + r(x). Factor y(z). (z - 1)**2*(z + 1) Let p be ((-9)/3 - -27)*4/8. Let z be (0 - 6)/p*108/(-7). Find f such that 6/7*f**5 - 48*f**2 + 192/7*f**3 - z*f**4 - 96/7 + 288/7*f = 0. 1, 2 Suppose 13*s = -3*j + 9*s - 9, 5*s = 0. Let u(d) = -d**3 + 24*d**2 - 2*d. Let n(o) = o**3 - 25*o**2 + 3*o. Let a(q) = j*u(q) - 2*n(q). Factor a(b). b**2*(b - 22) Let o be ((-12)/10)/((-420)/200). Let p(g) be the second derivative of o*g**2 + 0 - 1/14*g**4 + 1/210*g**6 + 1/140*g**5 - 2/21*g**3 - 28*g. Factor p(w). (w - 2)*(w - 1)*(w + 2)**2/7 Let r be (-12)/910*1053*((-80)/(-12))/(-1). Factor 72/7*u**2 + 0 - 2/7*u**3 - r*u. -2*u*(u - 18)**2/7 Let 46/9*k**3 + 58/9*k**2 + 16 - 82/3*k - 2/9*k**4 = 0. Calculate k. -3, 1, 24 Factor -3*t**3 + 4*t**3 - 14*t**3 + t**5 + 2434*t**2 - 2427*t**2 + 5*t**4. t**2*(t - 1)**2*(t + 7) Let a(m) be the first derivative of -m**5/210 + 5*m**4/21 - 19*m**3/21 - 12*m**2 - m - 59. Let v(f) be the second derivative of a(f). Factor v(z). -2*(z - 19)*(z - 1)/7 Let r(y) = -6*y**3 + 36*y**2 - 52*y + 12. Let j(p) = 7*p**3 - 37*p**2 + 51*p - 15. Let m(d) = -4*j(d) - 5*r(d). Factor m(l). 2*l*(l - 14)*(l - 2) Let c(o) be the second derivative of -o**6/45 - 2*o**5/3 - 95*o**4/18 + 20*o**3/9 + 32*o**2 - 1814*o. Determine p so that c(p) = 0. -12, -8, -1, 1 Let g(v) be the second derivative of v**6/600 - v**5/60 + v**4/60 + 4*v**3/15 - 27*v**2/2 - 3*v - 18. Let s(b) be the first derivative of g(b). Factor s(k). (k - 4)*(k - 2)*(k + 1)/5 Let j be 5*((-80)/(-25) + -2). Let p be 3 + 0 + j/24*-6. Determine y, given that -p*y**2 + 1/2*y**3 + y + 0 = 0. 0, 1, 2 Suppose -8 = 141*v - 145*v. Factor 11*m**2 - 64*m - 6*m**v - 3*m**2 - 66. 2*(m - 33)*(m + 1) Let v(j) be the second derivative of -j**8/11760 - j**7/980 + j**3/2 + 13*j**2 + 49*j. Let n(u) be the second derivative of v(u). Factor n(s). -s**3*(s + 6)/7 Let q(j) be the first derivative of 2/3*j**2 - 4/9*j**3 - 7/60*j**5 - 19/36*j**4 - 7*j - 4. Let o(r) be the first derivative of q(r). Factor o(s). -(s + 1)*(s + 2)*(7*s - 2)/3 Let r = 5 - -19. Factor -3*o**2 - 57*o - 48 + 21*o + 36*o + r*o. -3*(o - 4)**2 Let n(z) be the first derivative of 75/2*z**2 + 66 + 35*z + 5/4*z**4 + 15*z**3. Let n(f) = 0. Calculate f. -7, -1 Determine y so that -236*y + 2/5*y**2 + 3522/5 = 0. 3, 587 Solve 27*s**2 - s**5 - 9*s**4 - 18*s**2 + 25*s**3 - 10*s - 14*s**3 = 0 for s. -10, -1, 0, 1 Suppose 81 + 271 = 137*f - 196. Let g(o) be the first derivative of -f*o**2 - 28*o - 17 - 4/21*o**3. Suppose g(v) = 0. What is v? -7 Let q(g) = -4*g**2 - 427*g + 33*g**2 + 434*g. Let k = -83 + 44. Let f(u) = 5*u**2 + u. Let i(a) = k*f(a) + 6*q(a). Determine r, given that i(r) = 0. 0, 1/7 Let l(m) be the second derivative of m**6/420 + m**5/21 + 8*m**4/21 + 32*m**3/21 - 9*m**2/2 - 5*m - 1. Let k(y) be the first derivative of l(y). Factor k(a). 2*(a + 2)*(a + 4)**2/7 Let h(b) be the first derivative of 5/42*b**4 - 1/21*b**3 + 2*b + 13 - 5/7*b**2 + 1/70*b**5. Let l(m) be the first derivative of h(m). Factor l(u). 2*(u - 1)*(u + 1)*(u + 5)/7 Find h such that 49*h**5 + 42*h**5 + 397*h**2 - 375*h**4 - 1011*h**3 + 50*h**5 + 1946*h**2 - 183*h - 135*h**5 - 780 = 0. -4, -1/2, 1, 65 Find k, given that -234/11*k**2 + 0 - 8/11*k = 0. -4/117, 0 Suppose 10*s - 68*s + 232 + 0 = 0. Let t(v) be the third derivative of -15*v**2 + 0 - 2*v**3 + 0*v + 1/15*v**5 - 1/3*v**s. Solve t(x) = 0 for x. -1, 3 What is o in 1/5*o**5 + 17/5*o**4 + 0 + 102/5*o**3 + 256/5*o**2 + 224/5*o = 0? -7, -4, -2, 0 Let o be -39 - (-34 - (-144)/(-16)). Factor -1/8*v**2 + 0 + 1/8*v**3 - 1/8*v + 1/8*v**o. v*(v - 1)*(v + 1)**2/8 Let w(o) = -o**2 - 4*o + 23. Let k be w(-7). Suppose -10 + 107*l + 3*l**k - l**2 - 118*l - 3*l**2 + 0*l**2 = 0. Calculate l. -10, -1 Suppose -2183*f + 511*f - 920*f - 1 + 1 - 3*f**2 = 0. Calculate f. -864, 0 Let n(j) = -j**2 + 12*j + 111. Let d
{ "pile_set_name": "DM Mathematics" }
0, -556, -392, -228, -64, 100? 164*w - 884 What is the w'th term of -533, -1293, -2561, -4337? -254*w**2 + 2*w - 281 What is the f'th term of -1032179, -2064356, -3096533? -1032177*f - 2 What is the o'th term of 557094, 557096, 557098, 557100? 2*o + 557092 What is the d'th term of 49, -287, -1405, -3695, -7547, -13351? -65*d**3 - d**2 + 122*d - 7 What is the q'th term of -120634, -120631, -120628, -120625, -120622? 3*q - 120637 What is the m'th term of -899373, -899365, -899353, -899337, -899317? 2*m**2 + 2*m - 899377 What is the c'th term of 10336, 20347, 30358, 40369, 50380, 60391? 10011*c + 325 What is the v'th term of -2263, -4535, -6807? -2272*v + 9 What is the z'th term of 442, 1671, 3706, 6547, 10194? 403*z**2 + 20*z + 19 What is the j'th term of -26, -9, -172, -605, -1398? -15*j**3 + 122*j - 133 What is the b'th term of -9065, -9066, -9077, -9104, -9153, -9230, -9341? -b**3 + b**2 + 3*b - 9068 What is the w'th term of -206, -1850, -6298, -14948, -29198, -50446, -80090? -233*w**3 - 4*w**2 - w + 32 What is the b'th term of 630, 2641, 5994, 10689, 16726? 671*b**2 - 2*b - 39 What is the y'th term of 743, 1918, 3093, 4268, 5443, 6618? 1175*y - 432 What is the h'th term of 364, 786, 1208, 1630? 422*h - 58 What is the i'th term of 97532, 97513, 97466, 97379, 97240, 97037, 96758? -2*i**3 - 2*i**2 + i + 97535 What is the v'th term of 32429, 64848, 97269, 129692, 162117, 194544? v**2 + 32416*v + 12 What is the v'th term of -61, -170, -279? -109*v + 48 What is the n'th term of 32396, 32398, 32374, 32312, 32200, 32026, 31778? -2*n**3 - n**2 + 19*n + 32380 What is the v'th term of -8514, -8539, -8564, -8589? -25*v - 8489 What is the t'th term of -659, -703, -791, -935, -1147, -1439? -2*t**3 - 10*t**2 - 647 What is the u'th term of 20242, 40544, 60846, 81148, 101450, 121752? 20302*u - 60 What is the m'th term of 67900, 67905, 67910? 5*m + 67895 What is the g'th term of -201, -324, -367, -330, -213? 40*g**2 - 243*g + 2 What is the n'th term of -1351, -2128, -2893, -3640, -4363, -5056? n**3 - 784*n - 568 What is the g'th term of -34445, -34449, -34457, -34469, -34485, -34505? -2*g**2 + 2*g - 34445 What is the d'th term of -1520, -1524, -1524, -1514, -1488, -1440? d**3 - 4*d**2 + d - 1518 What is the i'th term of 571, 542, 513, 484, 455? -29*i + 600 What is the u'th term of 154610, 154609, 154608, 154607, 154606, 154605? -u + 154611 What is the r'th term of -106763, -213624, -320483, -427340, -534195, -641048? r**2 - 106864*r + 100 What is the x'th term of -1164, -9658, -32710, -77598, -151600, -261994? -1213*x**3 - x**2 + 50 What is the o'th term of 1836, 3315, 4794, 6273, 7752? 1479*o + 357 What is the w'th term of -23, -138, -431, -986, -1887, -3218, -5063, -7506? -14*w**3 - 5*w**2 - 2*w - 2 What is the x'th term of 131, -1101, -3147, -6001, -9657? x**3 - 413*x**2 + 543 What is the q'th term of 10055, 10069, 10095, 10133? 6*q**2 - 4*q + 10053 What is the h'th term of -68, -313, -726, -1307, -2056, -2973, -4058? -84*h**2 + 7*h + 9 What is the u'th term of 5425, 21691, 48805, 86773, 135601, 195295, 265861, 347305? u**3 + 5418*u**2 + 5*u + 1 What is the g'th term of -174, -184, -192, -198, -202? g**2 - 13*g - 162 What is the c'th term of -2625, -2617, -2611, -2607, -2605, -2605? -c**2 + 11*c - 2635 What is the v'th term of 43, 144, 311, 544, 843, 1208, 1639? 33*v**2 + 2*v + 8 What is the y'th term of -9809, -9780, -9749, -9716, -9681, -9644? y**2 + 26*y - 9836 What is the i'th term of -271, -293, -371, -535, -815, -1241, -1843? -5*i**3 + 2*i**2 + 7*i - 275 What is the z'th term of -464, -1882, -4244, -7544, -11776, -16934? z**3 - 478*z**2 + 9*z + 4 What is the t'th term of -5186, -4836, -3878, -2006, 1086, 5704, 12154? 51*t**3 - 2*t**2 - t - 5234 What is the l'th term of -428, -1232, -2410, -3962, -5888? -187*l**2 - 243*l + 2 What is the m'th term of -251, -494, -767, -1076, -1427? -m**3 - 9*m**2 - 209*m - 32 What is the a'th term of 801, 1606, 2411? 805*a - 4 What is the t'th term of -134244, -134243, -134242, -134241, -134240? t - 134245 What is the f'th term of 4237, 8471, 12705, 16939, 21173? 4234*f + 3 What is the i'th term of 6313, 6355, 6397? 42*i + 6271 What is the v'th term of -1237, -2125, -2999, -3853, -4681, -5477, -6235? v**3 + v**2 - 898*v - 341 What is the p'th term of -165, -450, -853, -1374, -2013, -2770, -3645? -59*p**2 - 108*p + 2 What is the r'th term of -85, -112, -185, -328, -565, -920, -1417? -4*r**3 + r**2 - 2*r - 80 What is the b'th term of -1949, -3892, -5839, -7790, -9745, -11704? -2*b**2 - 1937*b - 10 What is the v'th term of 355, 346, 333, 316, 295, 270, 241? -2*v**2 - 3*v + 360 What is the y'th term of -2030180, -2030179, -2030178, -2030177, -2030176? y - 2030181 What is the k'th term of -2310, -2134, -1948, -1746, -1522, -1270, -984? k**3 - k**2 + 172*k - 2482 What is the f'th term of 357359, 357358, 357357, 357356, 357355, 357354? -f + 357360 What is the g'th term of 61097, 122190, 183283, 244376, 305469, 366562? 61093*g + 4 What is the h'th term of -488, -641, -784, -911, -1016, -1093, -1136? h**3 - h**2 - 157*h - 331 What is the u'th term of 2410, 5523, 8636, 11749, 14862? 3113*u - 703 What is the c'th term of 83019, 83036, 83041, 83028, 82991, 82924, 82821, 82676? -c**3 + 24*c + 82996 What is the p'th term of -49940, -99879, -149816, -199751, -249684, -299615, -349544? p**2 - 49942*p + 1 What is the b'th term of -185195, -185180, -185165? 15*b - 185210 What is the p'th term of 2527, 5083, 7639, 10195? 2556*p - 29 What is the l'th term of 918201, 918197, 918193, 918189? -4*l + 918205 What is the x'th term of 28814, 57644, 86486, 115346, 144230, 173144, 202094, 231086? x**3 + 28823*x - 10 What is the v'th term of -1225, -1332, -1461, -1618, -1809? -v**3 - 5*v**2 - 85*v - 1134 What is the l'th term of 247752, 247756, 247772, 247806, 247864, 247952, 248076, 248242? l**3 - 3*l + 247754 What is the z'th term of 275636, 551263, 826890, 1102517? 275627*z + 9 What is the f'th term of -678, -1347, -2016, -2685, -3354, -4023? -669*f - 9 What is the v'th term of 280, 345, 528, 889, 1488, 2385? 10*v**3 - v**2 - 2*v + 273 What is the g'th term of 2049, 2064, 2045, 1974, 1833, 1604, 1269, 810? -3*g**3 + g**2 + 33*g + 2018 What is the d'th term of -272, -529, -962, -1571, -2356, -3317? -88*d**2 + 7*d - 191 What is the j'th term of 10, 63, 164, 325, 558, 875, 1288? 2*j**3 + 12*j**2 + 3*j - 7 What is the p'th term of 1113101, 1113102, 1113103, 1113104, 1113105, 1113106? p + 1113100 What is the o'th term of 268, 1168, 2662, 4744, 7408, 10648, 14458, 18832? -o**3 + 303*o**2 - 2*o - 32 What is the g'th term of -11465, -22948, -34431? -11483*g + 18 What is the o'th term of 31904, 63807, 95710, 127613, 159516, 191419? 31903*o + 1 What is the c'th term of 525, 619, 713, 807, 901? 94*c + 431 What is the q'th term of -1419, -1571, -1723, -1875? -152*q - 1267 What is the h'th term of -1692, -1832, -1986, -2160, -2360, -2592, -2862? -h**3 - h**2 - 130*h - 1560 What is the h'th term of 4451, 4393, 4297, 4163, 3991, 3781? -19*h**2 - h + 4471 What is the b'th term of -1200, -1165, -1130, -1095, -1060? 35*b - 1235 What is the t'th term of -50900, -101819, -152740, -203663, -254588, -305515? -t**2 - 50916*t + 17 What is the q'th term of -10724, -21299, -31874, -42449, -53024? -10575*q - 149 What is the t'th term of 31221, 31219, 31217, 31215, 31213, 31211? -2*t + 31223 What is the t'th term of -718, -1269, -2188, -3475, -5130, -7153? -184*t**2 + t - 535 What is the w'th term of -90, -184, -282, -378, -466, -540, -594, -622? w**3 - 8*w**2 - 77*w - 6 What is the l'th term of -735, -737, -733, -717, -683, -625, -537, -413? l**3 - 3*l**2 - 733 What is the u'th term of -1, 312, 613, 902? -6*u**2 + 331*u - 326 What is the m'th term of 32, 106, 256, 500, 856, 1342, 1976, 2776? 3*m**3 + 20*m**2 - 7*m + 16 What is the t'th term of -345, -70, 205, 480, 755? 275*t - 620 What is the q'th term of -3985709, -3985710, -3985711, -3985712, -3985713, -3985714? -q - 3985708 What is the j'th term of -49410, -98719, -148030, -197343, -246658, -295975? -j**2 - 49306*j - 103 What is the y'th term of -119, 498, 1519, 2938, 4749, 6946, 9523? -y**3 + 208*y**2 - 326 What is the k'th term of 801, 924, 1263, 1926, 3021, 4656, 6939? 18*k**3 - 3*k + 786 What is the b'th term
{ "pile_set_name": "DM Mathematics" }
between 5:53 PM and 4:57 AM? 664 What is 204 minutes before 12:37 PM? 9:13 AM What is 155 minutes before 10:24 AM? 7:49 AM What is 376 minutes after 2:54 PM? 9:10 PM What is 408 minutes before 7:58 AM? 1:10 AM What is 98 minutes after 7:07 AM? 8:45 AM How many minutes are there between 5:11 PM and 1:32 AM? 501 What is 678 minutes after 2:30 PM? 1:48 AM How many minutes are there between 8:16 PM and 11:06 PM? 170 What is 209 minutes after 4:35 PM? 8:04 PM How many minutes are there between 5:07 AM and 7:41 AM? 154 What is 429 minutes after 2:52 AM? 10:01 AM How many minutes are there between 3:07 AM and 12:53 PM? 586 What is 110 minutes before 5:56 AM? 4:06 AM How many minutes are there between 10:47 PM and 1:21 AM? 154 What is 655 minutes before 12:02 PM? 1:07 AM What is 391 minutes before 8:24 AM? 1:53 AM What is 627 minutes before 6:45 AM? 8:18 PM How many minutes are there between 9:12 PM and 4:46 AM? 454 What is 607 minutes before 1:12 AM? 3:05 PM What is 238 minutes after 9:46 PM? 1:44 AM What is 421 minutes before 12:05 AM? 5:04 PM What is 421 minutes after 8:21 PM? 3:22 AM How many minutes are there between 8:21 AM and 4:42 PM? 501 What is 249 minutes after 9:39 PM? 1:48 AM How many minutes are there between 12:00 PM and 1:02 PM? 62 What is 25 minutes before 7:52 PM? 7:27 PM How many minutes are there between 5:45 PM and 4:28 AM? 643 What is 636 minutes before 9:46 AM? 11:10 PM How many minutes are there between 4:39 PM and 3:41 AM? 662 How many minutes are there between 5:31 AM and 9:43 AM? 252 How many minutes are there between 8:19 PM and 10:48 PM? 149 What is 641 minutes before 12:50 AM? 2:09 PM What is 491 minutes before 5:03 AM? 8:52 PM How many minutes are there between 2:11 AM and 5:16 AM? 185 What is 149 minutes after 5:02 AM? 7:31 AM How many minutes are there between 3:04 PM and 12:21 AM? 557 How many minutes are there between 6:26 AM and 11:41 AM? 315 What is 705 minutes before 12:27 AM? 12:42 PM What is 644 minutes after 11:10 AM? 9:54 PM How many minutes are there between 6:09 PM and 6:04 AM? 715 How many minutes are there between 11:44 PM and 11:12 AM? 688 What is 453 minutes after 11:04 AM? 6:37 PM How many minutes are there between 12:15 PM and 4:52 PM? 277 How many minutes are there between 12:32 PM and 3:23 PM? 171 How many minutes are there between 9:29 PM and 2:06 AM? 277 What is 176 minutes after 12:54 AM? 3:50 AM How many minutes are there between 10:47 PM and 12:18 AM? 91 What is 443 minutes before 8:47 PM? 1:24 PM What is 446 minutes before 3:36 PM? 8:10 AM How many minutes are there between 1:54 AM and 2:36 AM? 42 How many minutes are there between 1:58 AM and 9:48 AM? 470 How many minutes are there between 1:30 PM and 3:02 PM? 92 How many minutes are there between 8:03 AM and 9:46 AM? 103 How many minutes are there between 4:44 AM and 7:09 AM? 145 How many minutes are there between 3:38 PM and 11:17 PM? 459 What is 391 minutes before 11:13 PM? 4:42 PM How many minutes are there between 10:34 PM and 6:20 AM? 466 What is 599 minutes before 6:02 AM? 8:03 PM What is 570 minutes after 6:19 PM? 3:49 AM What is 302 minutes after 12:17 AM? 5:19 AM How many minutes are there between 1:36 PM and 3:37 PM? 121 How many minutes are there between 5:33 AM and 4:20 PM? 647 What is 709 minutes before 10:52 PM? 11:03 AM How many minutes are there between 4:56 PM and 10:56 PM? 360 How many minutes are there between 3:02 AM and 9:44 AM? 402 How many minutes are there between 1:15 AM and 12:17 PM? 662 What is 595 minutes after 10:27 PM? 8:22 AM What is 715 minutes after 1:33 PM? 1:28 AM What is 52 minutes after 7:26 AM? 8:18 AM How many minutes are there between 11:25 AM and 5:52 PM? 387 How many minutes are there between 3:46 PM and 1:34 AM? 588 What is 371 minutes after 5:41 PM? 11:52 PM How many minutes are there between 12:17 AM and 4:54 AM? 277 What is 39 minutes before 8:17 PM? 7:38 PM What is 11 minutes after 10:25 PM? 10:36 PM What is 313 minutes before 7:03 PM? 1:50 PM How many minutes are there between 5:32 PM and 9:45 PM? 253 What is 539 minutes after 11:04 PM? 8:03 AM What is 354 minutes before 2:24 AM? 8:30 PM How many minutes are there between 2:42 AM and 1:12 PM? 630 How many minutes are there between 11:50 AM and 7:16 PM? 446 How many minutes are there between 9:40 AM and 2:50 PM? 310 How many minutes are there between 9:51 AM and 11:46 AM? 115 How many minutes are there between 11:15 AM and 11:04 PM? 709 How many minutes are there between 2:09 PM and 12:40 AM? 631 How many minutes are there between 9:21 AM and 8:22 PM? 661 What is 207 minutes before 2:54 AM? 11:27 PM What is 599 minutes after 2:31 PM? 12:30 AM What is 560 minutes after 2:13 PM? 11:33 PM How many minutes are there between 4:34 AM and 2:19 PM? 585 What is 616 minutes after 1:15 AM? 11:31 AM What is 678 minutes after 4:33 AM? 3:51 PM How many minutes are there between 11:00 AM and 1:55 PM? 175 What is 459 minutes before 6:52 PM? 11:13 AM How many minutes are there between 5:29 AM and 2:13 PM? 524 How many minutes are there between 2:34 AM and 10:08 AM? 454 What is 700 minutes after 7:46 AM? 7:26 PM How many minutes are there between 1:43 AM and 8:23 AM? 400 What is 502 minutes after 12:56 AM? 9:18 AM What is 90 minutes before 2:03 PM? 12:33 PM What is 155 minutes before 9:47 PM? 7:12 PM How many minutes are there between 1:21 PM and 3:45 PM? 144 How many minutes are there between 1:16 AM and 6:09 AM? 293 What is 457 minutes after 10:42 AM? 6:19 PM How many minutes are there between 1:10 AM and 7:52 AM? 402 What is 501 minutes after 9:57 PM? 6:18 AM What is 636 minutes after 4:01 AM? 2:37 PM What is 663 minutes before 1:26 AM? 2:23 PM What is 296 minutes before 3:06 PM? 10:10 AM What is 553 minutes after 9:06 AM? 6:19 PM What is 636 minutes after 3:02 AM? 1:38 PM What is 260 minutes after 5:16 PM? 9:36 PM What is 303 minutes before 2:04 PM? 9:01 AM What is 652 minutes before 9:04 AM? 10:12 PM What is 253 minutes after 3:04 AM? 7:17 AM What is 291 minutes before 9:04 AM? 4:13 AM How many minutes are there between 10:58 PM and 7:38 AM? 520 What is 700 minutes before 7:48 PM? 8:08 AM How many minutes are there between 3:21 AM and 12:06 PM? 525 What is 641 minutes after 3:58 PM? 2:39 AM How many minutes are there between 12:55 AM and 4:19 AM? 204 What is 373 minutes after 3:33 AM? 9:46 AM How many minutes are there between 9:54 PM and 5:22 AM? 448 How many minutes are there between 5:48 AM and 3:06 PM? 558 How many minutes are there between 9:32 AM and 8:48 PM? 676 How many minutes are there between 5:12 PM and 8:34 PM? 202 What is 324 minutes before 11:03 AM? 5:39 AM What is 539 minutes after 4:03 AM? 1:02 PM What is 474 minutes after 9:59 AM? 5:53 PM What is 266 minutes before 5:55 PM? 1:29 PM What is 283 minutes after 1:30 PM? 6:13 PM How many minutes are there between 3:22 AM and 5:29 AM? 127 How many minutes are there between 10:04 AM and 2:17 PM? 253 How many minutes are there between 2:20 PM and 4:02 PM? 102 What is 373 minutes after 5:18 PM? 11:31 PM How many minutes are there between 12:30 AM and 2:58 AM? 148 What is 631 minutes before 1:29 AM? 2:58 PM How many minutes are there between 5:44 PM and 12:25 AM? 401 How many minutes are there between 4:51 AM and 4:50 PM? 719 What is 472 minutes before 7:40 PM? 11:48 AM What is 153 minutes before 5:18 AM? 2:45 AM What is 667 minutes before 8:54 PM? 9:47 AM How many minutes are there between 2:08 AM and 10:56 AM? 528 How many minutes are there between 10:21 AM and 11:30 AM? 69 How many minutes are there between 10:19 PM and 7:43 AM? 564 What is 388 minutes after 6:56 AM? 1:24 PM What is 341 minutes before 11:11 PM? 5:30 PM What is 605 minutes before 10:29 PM? 12:24 PM What is 315 minutes before 2:01 AM? 8:46 PM How many minutes are there between 9:24 AM and 4:03 PM? 399 How many minutes are there between 12:58 AM and 2:07 AM? 69 What is 255 minutes before 10:38 AM? 6:23 AM What is 251 minutes before 9:23 AM? 5:12 AM How many minutes are there between 3:47 PM and 8:21 PM? 274 How many minutes are there between 1:05 AM and 8:38 AM? 453 How many minutes are there between 2:42 PM and 4:52 PM? 130 What is 643 minutes after 7:07 AM? 5:50 PM How many minutes are there between 7:20 AM and 3:12 PM? 472 How
{ "pile_set_name": "DM Mathematics" }
from {z: 4, v: 1, h: 4, c: 2}? 2/165 Calculate prob of sequence dnmm when four letters picked without replacement from {d: 6, m: 2, n: 1, g: 3, c: 2}. 1/2002 Four letters picked without replacement from mmmbmmb. What is prob of sequence mbbm? 1/21 Three letters picked without replacement from uepnmntu. What is prob of sequence nmu? 1/84 Calculate prob of sequence vw when two letters picked without replacement from vvvvvwqvv. 7/72 What is prob of sequence uu when two letters picked without replacement from cuiuuiuciuuicuuii? 7/34 Two letters picked without replacement from iawiwfi. Give prob of sequence ai. 1/14 Two letters picked without replacement from kqddddddddddddj. Give prob of sequence kq. 1/210 Four letters picked without replacement from {m: 3, w: 1, e: 5, v: 3, u: 1, n: 1}. What is prob of sequence vmve? 15/4004 Three letters picked without replacement from {q: 2, k: 4}. What is prob of sequence kkq? 1/5 Calculate prob of sequence hn when two letters picked without replacement from {n: 8, h: 2, j: 2, o: 5, c: 2}. 8/171 Calculate prob of sequence nsop when four letters picked without replacement from {o: 1, s: 1, n: 5, p: 2}. 5/1512 Two letters picked without replacement from rruglrylrlrp. What is prob of sequence pr? 5/132 Calculate prob of sequence wd when two letters picked without replacement from {q: 1, d: 2, i: 1, c: 2, w: 1, r: 1}. 1/28 Two letters picked without replacement from cpwcict. What is prob of sequence cc? 1/7 Calculate prob of sequence irmq when four letters picked without replacement from {q: 2, i: 2, r: 1, m: 1}. 1/90 What is prob of sequence fnvn when four letters picked without replacement from ffiffitviinnn? 1/715 What is prob of sequence trd when three letters picked without replacement from {t: 2, m: 4, d: 1, i: 1, h: 1, r: 3}? 1/220 Calculate prob of sequence gbb when three letters picked without replacement from gggggggbbfff. 7/660 Calculate prob of sequence drdx when four letters picked without replacement from dzrjudx. 1/420 What is prob of sequence gyy when three letters picked without replacement from {y: 5, g: 15}? 5/114 What is prob of sequence bwb when three letters picked without replacement from bwb? 1/3 Calculate prob of sequence iini when four letters picked without replacement from nnniniiinn. 1/35 Two letters picked without replacement from {c: 5, z: 2, e: 3, q: 3}. Give prob of sequence ce. 5/52 What is prob of sequence ihx when three letters picked without replacement from {b: 1, z: 1, h: 4, i: 1, x: 1}? 1/84 Calculate prob of sequence zqzq when four letters picked without replacement from {x: 3, q: 2, z: 3}. 1/140 Calculate prob of sequence qqj when three letters picked without replacement from {q: 3, j: 8}. 8/165 Four letters picked without replacement from rduduruduurud. Give prob of sequence urrd. 6/715 What is prob of sequence cf when two letters picked without replacement from evvcnfffvnfe? 1/33 Calculate prob of sequence rjjj when four letters picked without replacement from jjjjrjrjjrr. 7/66 Three letters picked without replacement from {r: 3, h: 7, q: 5, y: 2}. Give prob of sequence rqr. 1/136 Calculate prob of sequence vvtp when four letters picked without replacement from {v: 5, p: 1, t: 1, j: 2}. 5/756 Two letters picked without replacement from {v: 12, o: 1}. What is prob of sequence vo? 1/13 Two letters picked without replacement from {f: 10}. What is prob of sequence ff? 1 Two letters picked without replacement from {x: 2, e: 1, b: 1, l: 1, g: 2, y: 1}. What is prob of sequence xe? 1/28 Three letters picked without replacement from {j: 2, i: 2}. What is prob of sequence jji? 1/6 Calculate prob of sequence llgg when four letters picked without replacement from {g: 4, l: 2}. 1/15 Calculate prob of sequence pn when two letters picked without replacement from npnnnppnennnnnnpp. 55/272 Calculate prob of sequence ztbc when four letters picked without replacement from {c: 1, z: 1, b: 10, t: 1}. 1/1716 What is prob of sequence dd when two letters picked without replacement from {x: 2, d: 5, v: 2}? 5/18 Calculate prob of sequence jwp when three letters picked without replacement from {j: 1, p: 1, w: 7}. 1/72 Four letters picked without replacement from {q: 5, v: 2}. What is prob of sequence vqvq? 1/21 Two letters picked without replacement from {f: 1, c: 1, x: 6, n: 5, e: 4, h: 3}. What is prob of sequence he? 3/95 What is prob of sequence qu when two letters picked without replacement from {p: 4, r: 2, u: 2, q: 1}? 1/36 What is prob of sequence vov when three letters picked without replacement from {o: 9, v: 7}? 9/80 Calculate prob of sequence ua when two letters picked without replacement from {a: 6, u: 2, y: 7}. 2/35 Two letters picked without replacement from ccbbb. Give prob of sequence cc. 1/10 Calculate prob of sequence ol when two letters picked without replacement from {l: 2, o: 6}. 3/14 Two letters picked without replacement from {j: 2, c: 1, i: 3, f: 4, s: 1, e: 1}. Give prob of sequence fj. 2/33 What is prob of sequence bbb when three letters picked without replacement from {b: 9}? 1 Two letters picked without replacement from hnedhhhsh. Give prob of sequence sh. 5/72 What is prob of sequence nli when three letters picked without replacement from gllinut? 1/105 Calculate prob of sequence ffw when three letters picked without replacement from wfwfwfwwwwwwfw. 5/91 Four letters picked without replacement from zcczclzlzlzlzccgcz. What is prob of sequence czlc? 7/612 Calculate prob of sequence bdry when four letters picked without replacement from {a: 3, y: 2, b: 1, r: 1, d: 3}. 1/840 Calculate prob of sequence lww when three letters picked without replacement from {l: 1, m: 2, t: 7, h: 1, w: 4, y: 5}. 1/570 Calculate prob of sequence oo when two letters picked without replacement from {m: 2, o: 4}. 2/5 Two letters picked without replacement from {q: 5, a: 2, z: 5}. Give prob of sequence qq. 5/33 Four letters picked without replacement from srsisssllrshslshrhi. Give prob of sequence irsh. 1/646 Two letters picked without replacement from lxxlllxllxxxxl. What is prob of sequence lx? 7/26 Two letters picked without replacement from gxaxgaixdxdadngn. Give prob of sequence dg. 3/80 Calculate prob of sequence qp when two letters picked without replacement from {a: 1, q: 1, p: 2, x: 2, g: 1}. 1/21 Two letters picked without replacement from gygg. What is prob of sequence yg? 1/4 Four letters picked without replacement from ggsgggggs. What is prob of sequence gsgs? 1/36 Three letters picked without replacement from {k: 6, g: 1, r: 4}. What is prob of sequence kkr? 4/33 Four letters picked without replacement from uuhctthc. Give prob of sequence ccth. 1/210 Calculate prob of sequence sfi when three letters picked without replacement from sfttsfisgs. 1/90 Calculate prob of sequence tjtj when four letters picked without replacement from {t: 2, a: 1, j: 2, n: 1}. 1/90 Three letters picked without replacement from {y: 2, w: 4}. What is prob of sequence yyy? 0 Three letters picked without replacement from {q: 12, u: 3}. What is prob of sequence quq? 66/455 What is prob of sequence zr when two letters picked without replacement from {v: 1, p: 1, i: 2, z: 2, a: 1, r: 1}? 1/28 What is prob of sequence vay when three letters picked without replacement from {v: 3, m: 3, y: 1, a: 3, j: 3, x: 2}? 3/910 What is prob of sequence hyhc when four letters picked without replacement from nnnndnhchnnncvynyny? 1/7752 Four letters picked without replacement from {w: 4, q: 16}. Give prob of sequence qwqw. 8/323 Four letters picked without replacement from {i: 7, t: 2, a: 3}. What is prob of sequence ttai? 7/1980 What is prob of sequence fcf when three letters picked without replacement from fffccfffff? 7/45 Four letters picked without replacement from {j: 3, w: 2}. Give prob of sequence wjjj. 1/10 Three letters picked without replacement from {q: 2, z: 1, w: 6, i: 3, l: 5, s: 2}. What is prob of sequence wsz? 2/969 Two letters picked without replacement from diiwfdnzwwinzz. What is prob of sequence dw? 3/91 Two letters picked without replacement from {p: 4, g: 1, h: 2, a: 3}. What is prob of sequence hg? 1/45 Three letters picked without replacement from {j: 3, v: 3, g: 1}. What is prob of sequence vvv? 1
{ "pile_set_name": "DM Mathematics" }
the square root of 4420 to the nearest integer? 66 What is 24514 to the power of 1/2, to the nearest integer? 157 What is the square root of 6370 to the nearest integer? 80 What is 19526 to the power of 1/8, to the nearest integer? 3 What is the square root of 49676 to the nearest integer? 223 What is 13782 to the power of 1/2, to the nearest integer? 117 What is the square root of 226 to the nearest integer? 15 What is the cube root of 1242 to the nearest integer? 11 What is the third root of 73467 to the nearest integer? 42 What is the third root of 11634 to the nearest integer? 23 What is the seventh root of 3195 to the nearest integer? 3 What is the fourth root of 9710 to the nearest integer? 10 What is the cube root of 1173 to the nearest integer? 11 What is the seventh root of 3554 to the nearest integer? 3 What is 91377 to the power of 1/5, to the nearest integer? 10 What is the square root of 4018 to the nearest integer? 63 What is 287 to the power of 1/6, to the nearest integer? 3 What is 10738 to the power of 1/4, to the nearest integer? 10 What is the square root of 1086 to the nearest integer? 33 What is 20105 to the power of 1/6, to the nearest integer? 5 What is 35 to the power of 1/5, to the nearest integer? 2 What is 29417 to the power of 1/2, to the nearest integer? 172 What is 12737 to the power of 1/3, to the nearest integer? 23 What is 4589 to the power of 1/4, to the nearest integer? 8 What is the cube root of 2115 to the nearest integer? 13 What is 595 to the power of 1/6, to the nearest integer? 3 What is 110275 to the power of 1/3, to the nearest integer? 48 What is 2045 to the power of 1/3, to the nearest integer? 13 What is the square root of 16496 to the nearest integer? 128 What is the third root of 31183 to the nearest integer? 31 What is 89273 to the power of 1/10, to the nearest integer? 3 What is the cube root of 8084 to the nearest integer? 20 What is 6939 to the power of 1/2, to the nearest integer? 83 What is 458 to the power of 1/10, to the nearest integer? 2 What is 2993 to the power of 1/7, to the nearest integer? 3 What is 66038 to the power of 1/2, to the nearest integer? 257 What is the seventh root of 19602 to the nearest integer? 4 What is the square root of 4133 to the nearest integer? 64 What is the third root of 7405 to the nearest integer? 19 What is the square root of 1033 to the nearest integer? 32 What is the square root of 192 to the nearest integer? 14 What is the third root of 281 to the nearest integer? 7 What is the square root of 2213 to the nearest integer? 47 What is 3804 to the power of 1/2, to the nearest integer? 62 What is the third root of 110764 to the nearest integer? 48 What is 27625 to the power of 1/4, to the nearest integer? 13 What is the third root of 3831 to the nearest integer? 16 What is the cube root of 379 to the nearest integer? 7 What is the cube root of 692 to the nearest integer? 9 What is 10234 to the power of 1/2, to the nearest integer? 101 What is 16114 to the power of 1/6, to the nearest integer? 5 What is the square root of 530 to the nearest integer? 23 What is 6217 to the power of 1/3, to the nearest integer? 18 What is the square root of 2574 to the nearest integer? 51 What is the sixth root of 2076 to the nearest integer? 4 What is the third root of 56442 to the nearest integer? 38 What is the tenth root of 6231 to the nearest integer? 2 What is the square root of 7563 to the nearest integer? 87 What is 6568 to the power of 1/2, to the nearest integer? 81 What is the ninth root of 1146 to the nearest integer? 2 What is the square root of 13622 to the nearest integer? 117 What is 1781 to the power of 1/8, to the nearest integer? 3 What is 22826 to the power of 1/3, to the nearest integer? 28 What is 11043 to the power of 1/2, to the nearest integer? 105 What is 67016 to the power of 1/2, to the nearest integer? 259 What is the tenth root of 199 to the nearest integer? 2 What is 4469 to the power of 1/8, to the nearest integer? 3 What is 1716 to the power of 1/3, to the nearest integer? 12 What is 20411 to the power of 1/2, to the nearest integer? 143 What is the eighth root of 397 to the nearest integer? 2 What is the fourth root of 2073 to the nearest integer? 7 What is 1078 to the power of 1/7, to the nearest integer? 3 What is the third root of 573 to the nearest integer? 8 What is the square root of 35524 to the nearest integer? 188 What is the third root of 1252 to the nearest integer? 11 What is the square root of 3125 to the nearest integer? 56 What is the square root of 180 to the nearest integer? 13 What is the eighth root of 8149 to the nearest integer? 3 What is the third root of 3394 to the nearest integer? 15 What is the cube root of 10519 to the nearest integer? 22 What is the eighth root of 466 to the nearest integer? 2 What is the third root of 851 to the nearest integer? 9 What is 56089 to the power of 1/9, to the nearest integer? 3 What is the seventh root of 4906 to the nearest integer? 3 What is the cube root of 167941 to the nearest integer? 55 What is the square root of 21468 to the nearest integer? 147 What is the square root of 767 to the nearest integer? 28 What is the tenth root of 1608 to the nearest integer? 2 What is 1216 to the power of 1/2, to the nearest integer? 35 What is 554 to the power of 1/3, to the nearest integer? 8 What is 18 to the power of 1/4, to the nearest integer? 2 What is the square root of 2731 to the nearest integer? 52 What is the third root of 563 to the nearest integer? 8 What is 5722 to the power of 1/6, to the nearest integer? 4 What is 68221 to the power of 1/9, to the nearest integer? 3 What is 44558 to the power of 1/8, to the nearest integer? 4 What is 6269 to the power of 1/7, to the nearest integer? 3 What is 2789 to the power of 1/3, to the nearest integer? 14 What is the eighth root of 1405 to the nearest integer? 2 What is the eighth root of 23095 to the nearest integer? 4 What is 1385 to the power of 1/2, to the nearest integer? 37 What is 137 to the power of 1/2, to the nearest integer? 12 What is 911 to the power of 1/8, to the nearest integer? 2 What is 1453 to the power of 1/3, to the nearest integer? 11 What is 1925 to the power of 1/2, to the nearest integer? 44 What is the cube root of 21141 to the nearest integer? 28 What is 74745 to the power of 1/8, to the nearest integer? 4 What is the third root of 14208 to the nearest integer? 24 What is 9114 to the power of 1/3, to the nearest integer? 21 What is the square root of 517 to the nearest integer? 23 What is 6327 to the power of 1/3, to the nearest integer? 18 What is 19946 to the power of 1/3, to the nearest integer? 27 What is the fourth root of 2165 to the nearest integer? 7 What is the third root of 6133 to the nearest integer? 18 What is 43009 to the power of 1/2, to the nearest integer? 207 What is 89571 to the power of 1/8, to the nearest integer? 4 What is 261 to the power of 1/5, to the nearest integer? 3 What is the square root of 8633 to the nearest integer? 93 What is the third root of 503 to the nearest integer? 8 What is the third root of 170272 to the nearest integer? 55 What is the square root of 7227 to the nearest integer? 85 What is the eighth root of 11357 to the nearest integer? 3 What is the cube root of 2390 to the nearest integer? 13 What is 2662 to the power of 1/3, to the nearest integer? 14 What is the third root of 12536 to the nearest integer? 23 What is the square root of 30 to the nearest integer? 5 What is 31 to the power of 1/3, to the nearest integer? 3 What is 20724 to the power of 1/8, to the nearest integer? 3 What is the square root of 74144 to the nearest integer? 272 What is the cube root of 62912 to the nearest integer? 40 What is 5398 to the power of 1/2, to the nearest integer? 73 What is the fifth root of 4913 to the nearest integer? 5 What is the third root of 12676 to the nearest integer? 23 What is the third root of 2011 to the nearest integer? 13 What is 1682 to the power of 1/2, to the nearest integer? 41 What is 258 to the power of 1/2, to the nearest integer? 16 What is the square root of 6910 to the nearest integer? 83 What is the eighth root of 23253 to the nearest integer?
{ "pile_set_name": "DM Mathematics" }
(-2/3)*d*d**(-3))**(-7/4) assuming d is positive. d**(-35/12) Simplify (j**(1/4)*j**(-6)*j)/(j**(2/5)*j**(-8)) assuming j is positive. j**(57/20) Simplify a**15/a*(a/(a/(a/a**(3/31)*a)))/a*a*a assuming a is positive. a**(524/31) Simplify (k/(k/(k*k/(k/(k*k**1)*k)*k))*k**0/k)/(k/k**(-7)*k**(-3/5)/k) assuming k is positive. k**(-22/5) Simplify r**(-1/11)*r**(1/6)*((r**(1/10)/r)/r)/r**(1/8) assuming r is positive. r**(-2573/1320) Simplify (z*z**(-1)/z*z**5/z)/((z**7/z*z*z)/(z/(z*(((z*(z**(-1/5)*z)/z)/z)/z)/z))) assuming z is positive. z**(-14/5) Simplify m**25/(m/m**(6/25)) assuming m is positive. m**(606/25) Simplify ((g**3)**(-5))**47 assuming g is positive. g**(-705) Simplify (a**3/a**(-1))**(-24/11) assuming a is positive. a**(-96/11) Simplify (j*j**4)**40 assuming j is positive. j**200 Simplify (f**(-4)/(f/(f*f*f**(2/15))))**(1/38) assuming f is positive. f**(-43/570) Simplify (h/h**(-2/15))/(h/h**(7/5)) assuming h is positive. h**(23/15) Simplify (k**0)**27*k**(-4)*k*k**(2/13)/k assuming k is positive. k**(-50/13) Simplify n**(2/25)/n*n*n/n**(-1/5)*n assuming n is positive. n**(57/25) Simplify (m**(1/11)*m)**(17/5) assuming m is positive. m**(204/55) Simplify w*w/(w**(-1/13)*w)*w**(-32) assuming w is positive. w**(-402/13) Simplify (w/(w**(-2/21)/w))/(w/(w/w**(-18)*w)) assuming w is positive. w**(443/21) Simplify (n/(n/(n/(n*n**17*n*n)))*n)/n**16 assuming n is positive. n**(-34) Simplify (c**(1/2))**(-7)/(c**(1/4))**(-20) assuming c is positive. c**(3/2) Simplify (n**(1/3)/n**(2/3))/(n**(2/3))**(2/11) assuming n is positive. n**(-5/11) Simplify (t**(-4)/t*t**(2/7))**27 assuming t is positive. t**(-891/7) Simplify (v**(-3/10))**(-4/13) assuming v is positive. v**(6/65) Simplify (k/((k*k**(-1/3)/k)/k)*k*((k**1/k)/k)/k)/(k/(k**6/k)*k*k*k**(-2/3)*k*k*k*k) assuming k is positive. 1 Simplify ((c*c**(3/5)*c)/c**(-3/8))**(10/13) assuming c is positive. c**(119/52) Simplify w**(-6/7)/w**(-3)*(w*w/(w**(-6)/w))/(w/w**4*w) assuming w is positive. w**(92/7) Simplify m**17*(m**13*m)/m*m assuming m is positive. m**31 Simplify (r**(-16))**(-6) assuming r is positive. r**96 Simplify ((v/v**(-4))**(-39))**21 assuming v is positive. v**(-4095) Simplify q**4/q**(-5) assuming q is positive. q**9 Simplify s**(-3)/s**(-6)*s**(-1)/s**(2/7) assuming s is positive. s**(12/7) Simplify (((d/(d/(d/(d**(-7)*d))))/d)/d)/(((d*d**23)/d)/d*d) assuming d is positive. d**(-18) Simplify ((g**(2/5)/g*g)/((g*g**(-12)*g*g)/g*g))**(4/5) assuming g is positive. g**(188/25) Simplify ((l*l/(l/(l/(l**(1/4)*l))))/l)/l**(-1/4)*l*l**(-2)*l**5 assuming l is positive. l**4 Simplify (y**(-2/9)*y**(-1/3))**(-23) assuming y is positive. y**(115/9) Simplify (t/(t/t**(-1/2)*t*t))**(1/35)*(t**(1/2))**(4/9) assuming t is positive. t**(19/126) Simplify ((o/o**(8/3))**(-14))**27 assuming o is positive. o**630 Simplify (q*q/((q/((q/(q/(q*q**8)))/q))/q)*q)**(-21) assuming q is positive. q**(-231) Simplify (r*r**(2/19)*(r**(-13)*r)/r)**29 assuming r is positive. r**(-6554/19) Simplify ((((y/(y**(-2)/y))/y*y*y)/y)/y**(-1/2))**7 assuming y is positive. y**(63/2) Simplify (z*z*z/(z*z*z/(z/(z*z**(-1))*z)*z*z*z))**(-2/31)*(z**(2/7))**18 assuming z is positive. z**(1130/217) Simplify (c**5*c**(-22)*c)**(-1/27) assuming c is positive. c**(16/27) Simplify z**(-3/20)*z*z**(-10) assuming z is positive. z**(-183/20) Simplify (((f*f*f**6*f)/f)/(f/(f*f**(-7/4)/f)))/(f**(-1/2)*f**(-3)) assuming f is positive. f**(35/4) Simplify (m**(2/15)*m**5)/(m*m**(1/3)*m)**(-5/2) assuming m is positive. m**(329/30) Simplify w**(1/2)/w**(2/15)*(w/(w*w/(w/w**3)))/w**(-2/27) assuming w is positive. w**(-691/270) Simplify ((k*k**6)/(k*k**(-4/7)))**(-6) assuming k is positive. k**(-276/7) Simplify (l*l/(l*l**(-6)))/l**(2/9)*l**(-1/4)/l**6 assuming l is positive. l**(19/36) Simplify (r**(-13/4))**(-2) assuming r is positive. r**(13/2) Simplify (i**(3/13)*i)**27 assuming i is positive. i**(432/13) Simplify (b/(((b/(b/(b**(-15)*b)))/b)/b*b*b))/b*b/(b/b**(-29)*b) assuming b is positive. b**(-16) Simplify m**(-23)/(m*m**(-1)*m) assuming m is positive. m**(-24) Simplify (s**3*s)/s**(-1/11)*(s**1/s)**(-2/61) assuming s is positive. s**(45/11) Simplify h*h*h**12*h**(2/11) assuming h is positive. h**(156/11) Simplify (((k*k*k**(3/10))/k)/(k*((k**(-7/4)*k)/k)/k))**(-3/10) assuming k is positive. k**(-183/200) Simplify c/(c*c**(2/37)*c)*c**(-13) assuming c is positive. c**(-520/37) Simplify (y**(-2/11)/(y**(-4/7)/y*y))/((y*y**9)/(y*y*y/(y/y**(4/5)*y))) assuming y is positive. y**(-3007/385) Simplify ((p**0)**7)**(1/23) assuming p is positive. 1 Simplify (x*x**(1/9))/x**(-21) assuming x is positive. x**(199/9) Simplify (y/((y*y*y**(-3/8))/y)*y*(y/(y**(-1)/y))/y)/((y**0*y)/(y*y*y/(y*y/(y**(1/8)*y))*y)) assuming y is positive. y**(11/2) Simplify (z**(2/17))**(-24) assuming z is positive. z**(-48/17) Simplify (d*d*d**(-3/7)*d*d*d)**27 assuming d is positive. d**(864/7) Simplify (y/(y*y/(y**(-7/5)*y))*(y*y*y*(y/y**(-2/33))/y*y)/y)**(-2/7) assuming y is positive. y**(-548/1155) Simplify (f*f**12/f)/f**21 assuming f is positive. f**(-9) Simplify ((p/p**2)**(-18/11))**(-28) assuming p is positive. p**(-504/11) Simplify (q**11/q)/((q**(-2/99)*q)/q) assuming q is positive. q**(992/99) Simplify (i*(i/(i**0/i*i))/i)**(1/72)/((i**(-2)*i*i)/i**(-2)) assuming i is positive. i**(-143/72) Simplify f**(-6/11)*(f*f/f**(-2))/f assuming f is positive. f**(27/11) Simplify (v/v**(-1/4))**2*v**(3/4)*v**(1/8) assuming v is positive. v**(27/8) Simplify n/n**19*n**(1/12) assuming n is positive. n**(-215/12) Simplify x/x**(-5/3)*x*x*x*x**(-2/13) assuming x is positive. x**(215/39) Simplify ((z*(z/(z**1*z))/z)/z)**20 assuming z is positive. z**(-40) Simplify (y*y**(-1/52))**(3/10) assuming y is positive. y**(153/520) Simplify a**2*a*a/a**(2/3)*a*(a*a**(-7))/a*a*a*a**(-7)*a assuming a is positive. a**(-20/3) Simplify ((y*y/(y**(3/5)/y))/y)**41 assuming y is positive. y**(287/5) Simplify (s*s**(-9/4))/s**7*(s/(s**8/s)*s)/(s**(4/5)*s) assuming s is positive. s**(-301/20) Simplify (o**(-2/7)*o)**(-1/51) assuming o is positive. o**(-5/357) Simplify (u**(-11)*u/u**(-1))**(13/2) assuming u is positive. u**(-117/2) Simplify (r/r**(-23))/r*r/(r/r**(-33)*r) assuming r is positive. r**(-11) Simplify r**(-1/6)/(r*r*r/(r*r**(1/8)))*r**(1/8)*r**6 assuming r is positive. r**(49/12) Simplify f**(-1/2)*f**(2/9)*f*f**3*f*f*f**(6/5) assuming f is positive. f**(623/90) Simplify ((y*y**(2/5))/y*y)/(y*y**(-3/2)*y)*((y*y/((y**(-5/3)/y)/y*y)*y)/y)/y*(y*y**4)/y assuming y is positive. y**(257/30) Simplify (y**(-3/4)*y*y**(4/5))/(y**(7/5)*y**(-9)*y*y) assuming y is positive. y**(133/20) Simplify (b/(b*b**19))**(-21) assuming b is positive. b**399 Simplify d**(3/5)*d*d**(-7)*d assuming d is positive. d**(-22/5) Simplify v*v**(2/13)*v*v**(-10/7) assuming v is positive. v**(66/91) Simplify i*i*i*i**(3/10)*i*i**(-6/7)*(i**(-2/3))**24 assuming i is positive. i**(-879/70) Simplify b/b**(-4/7)*b*b**(-1/3) assuming b is positive. b**(47/21) Simplify ((i**6*i)/(i/i**5))/(i**(-3/2)/i**(-1/5)) assuming i is positive. i**(123/10) Simplify v*v*v/v**(-1/15)*v*v*v/(v*(v**10/v)/v) assuming v is positive. v**(-44/15) Simplify ((y/(y**1*y))**30)**49 assuming y is positive. y**(-1470) Simplify (v**33/v)/((v/(v*v*(((v/(((v/(v*v/(v/(v*(v*v*v**(8/5))/v*v))))/v)/v))/v)/v)/v))/v) assuming v is positive. v**(193/5) Simplify ((r**9/r)/r*r*r/r**11)**(-28/3) assuming r is positive. r**(56/3) Simplify w**20/((w**(-30)/w)/w) assuming w is positive. w**52 Simplify (j*j/(j/(((j*j/j**(-7))/j)/j)))/j**(1/24) assuming j is positive. j**(191/24) Simplify l**14/(l/(l**(1/14)/l*l)) assuming l is positive. l**(183/14) Simplify ((x*x**(-3/7)*x*x)/(x**(-2/3)*x))/(x**(2/5)/x)**(16/9) assuming x is positive. x**(347/105) Simplify z**(-5/7)*z*z**0 assuming z is positive. z**(2/7) Simplify (o**(-4)/(o*o**(1/2)))/((o**(-1)*o)/o)**18 assuming o is positive. o**(25/2) Simplify ((k**(-8/3)*k)/k)/k*k**(11/6) assuming k is positive. k**(-11/6) Simplify (d*d*d**(14/9))/(d**(-9)/d*d) assuming d is positive. d**(113/9) Simplify a**(-8/5)*a**(-20) assuming a is positive. a**(-108/5) Simplify m**(-2/27)/(m*m*(m/(m**(-8/3)*m)*m)/m) assuming m is positive. m**(-128/27) Simplify (h**9*(h/h**(-5))/h)/(h**(1/4)/h)**(-28) assuming h is positive. h**(-7)
{ "pile_set_name": "DM Mathematics" }
g rounded to five dps? 0.00041 Let f be ((-1)/3)/(10/570). Let y = f - -18. Let c be -3*16/y + 4. What is c rounded to the nearest 10? 50 Let k = 305.15948 + 75.82162. Let r = k - 381. What is r rounded to two dps? -0.02 Let s = -26231 - -48731. What is s rounded to the nearest 100? 22500 Let g = -990892 - 1380108. What is g rounded to the nearest one hundred thousand? -2400000 Let q = -71.8 + 71.79062. Round q to two decimal places. -0.01 Let u be 187002 - (-5 - -7)/1. What is u rounded to the nearest 100000? 200000 Let u(g) = -391*g - 103. Let p be u(-23). Round p to the nearest 1000. 9000 Let n = 980 - -880. Round n to the nearest one thousand. 2000 Let t = -50 - -326. Let y = 274.27 - t. Let m = y + 0.13. What is m rounded to the nearest integer? -2 Suppose 63*w - 107*w - 16940 = 0. Suppose -2*m + 2232 + 198 = 0. Let b = m - w. What is b rounded to the nearest 1000? 2000 Let x be 3 + -17966*(-2)/(-4). What is x rounded to the nearest 1000? -9000 Let u = 61 - 37. Suppose y - t + 2 = 0, -5*t = 3*y - y - u. Suppose y*b = 3*b - 70000. What is b rounded to the nearest 100000? 100000 Let m = -70.568542 - 0.431058. Let j = m - -71. Round j to four dps. 0.0004 Let s(r) = 741*r - 1. Let q be s(4). Suppose -4*l - q = z, 3*l - 4 = -10. Let v = -6155 - z. Round v to the nearest one thousand. -3000 Let x = -117.2 - -144. Let s = x + -56. What is s rounded to the nearest ten? -30 Let c = -5.4 + 4.71. Let f = 5.99 + c. Round f to zero dps. 5 Let g = -304741.7 - -304949.70356. Let h = g - 208. What is h rounded to four dps? 0.0036 Let r = -288.85 - -279. Let z = 7.77 - -2.23. Let s = r + z. Round s to one dp. 0.2 Let w = -0.54371 - 0.09599. Round w to 1 decimal place. -0.6 Let a = 11 + -8. Suppose 2*v - 4 = -2*p, -6*v + v + 34 = -a*p. Suppose v*d - 7*d = 1640. What is d rounded to the nearest one hundred? -800 Let f = -9.9 + -0.1. Let z = f - 0. Let o = 10.0005 + z. What is o rounded to 3 dps? 0.001 Let d = 408 + -408.0000191. Round d to five decimal places. -0.00002 Let u = -338.600007132 + 338.6. What is u rounded to 6 decimal places? -0.000007 Suppose 0*h = -5*s - 3*h + 759406, 15 = -5*h. Let y be -1*3 + 1177440/12. Let u = y + s. What is u rounded to the nearest 100000? 300000 Suppose -3*o - o = x - 13, 3*x = 5*o - 12. Suppose -o*n = -0*n + 3. Let p be 7199999 + (n - (-3 - -1)). What is p rounded to the nearest one million? 7000000 Let m = 111790044 - 63390044. Suppose 0 = -5*y + 7*y + m. What is y rounded to the nearest 1000000? -24000000 Let u(c) = 70*c**2 - 8*c - 18. Let j be u(4). What is j rounded to the nearest 100? 1100 Suppose -16 = 4*v, -v + 8 = 4*o - 0*v. Let n(m) = -556578*m**3 + m**2 + 7234238*m**o + 1322339*m**3. Let j be n(1). Round j to the nearest one million. 8000000 Let u be -823227 - ((-3)/1)/(-3). Let z = u - -500746. Let c = -133482 - z. What is c rounded to the nearest 10000? 190000 Let i = 163 + -248. Let q = i + 95.2. Let d = q - 18. What is d rounded to 0 dps? -8 Let h = 96.4 + -98.74. What is h rounded to one decimal place? -2.3 Let o = 31.09 - 39.384. Let a = 9.1 + -1. Let n = o + a. What is n rounded to two dps? -0.19 Let i = 2.870064 - 2.87. Round i to 5 dps. 0.00006 Let i = 488 + 369. Let c be 8/36 - i/9. Round c to the nearest 10. -100 Let s = -1050.5 - -2177.4. Round s to the nearest 100. 1100 Let g(c) = -6*c**2 + 6*c - 9. Let m be g(2). What is m rounded to the nearest ten? -20 Let w = 1657655147.420002 + -1657653438. Let j = w - 1709.5. Let a = j + 0.08. Round a to five dps. 0 Let r = 205.7 + -226. Let c = 13 - -2. Let m = c + r. Round m to 0 dps. -5 Let j = -618.9544 + 619. Round j to 3 decimal places. 0.046 Let h = 61 + -60.9999706. Round h to 6 dps. 0.000029 Let n = 37 - 17.4. Let v = -21.33 + n. Let c = -1.72999931 - v. Round c to 7 decimal places. 0.0000007 Let g = 523 - 12383. What is g rounded to the nearest one thousand? -12000 Let h = -1074.00787 - -1074. Round h to three dps. -0.008 Let v = 48.01 - 42. Let p = -0.01 + v. Let b = -26.3 + p. What is b rounded to zero dps? -20 Let x = 30 + -25. Suppose -l = -q - 86001, -x*q - 429999 = 4*l - 3*l. Round q to the nearest 10000. -90000 Suppose -3*v - 1 = 4*z, -2*z = z + 5*v - 13. Let j be (-1375)/((-60)/1216*81 - z). What is j rounded to the nearest 100000? -400000 Suppose -q + 12 - 7 = 0. Suppose -j = -q - 11. Let c be ((-138)/(-4))/((-6)/j). Round c to the nearest 10. -90 Let d = 33.2593559 - 18.359349. Let s = d + -14.9. What is s rounded to six decimal places? 0.000007 Suppose -4*t + 2*t + 215566 = 4*n, -4*n - 215558 = -2*t. Let y = t - 63585. Let k = y + 66804. Round k to the nearest ten thousand. 110000 Let u = -0.185 + 0.1526. Let o = -23.97 + 24. Let p = o + u. What is p rounded to 3 dps? -0.002 Let k = -0.04714117 - -0.10514163. Let f = k + -0.058. What is f rounded to seven decimal places? 0.0000005 Let t(j) = j - 1. Let a(n) = 55*n - 12. Let l(p) = -a(p) + 3*t(p). Let z be l(9). What is z rounded to the nearest 100? -500 Let t = -303 + 302.9999703. What is t rounded to 6 decimal places? -0.00003 Let u(x) = 421*x**2 + 3*x + 2. Let z be u(-1). What is z rounded to the nearest one hundred? 400 Let w = -5047788 - -5047791.150081. Let v = 0.84991 + w. Let t = v + -4. What is t rounded to 5 decimal places? -0.00001 Let r = 400 + -399.999999762. What is r rounded to 7 decimal places? 0.0000002 Let u = -1323.005528 - -1323. Round u to three decimal places. -0.006 Let d = -978398 + -6541602. What is d rounded to the nearest one million? -8000000 Let n = 10.99 + 0.31. Let s = n - 11. Let t = s + 3.8. Round t to 0 decimal places. 4 Suppose -2*o - 4*b - 9222422 = 0, 0*b = -4*o + b - 18444880. Let i = o - -9069998. Suppose i - 858779 = z. What is z rounded to the nearest 1000000? 4000000 Let w(y) = 2*y**3 - 4*y**2 + 3. Let x be w(3). Let j = 38 + x. Let c = -95 + j. Round c to the nearest 10. -40 Let i = -7820266 - -4399266. What is i rounded to the nearest 100000? -3400000 Let t = -10364 + 10377.3767. Let r = -6.3 + -7.1. Let v = r + t. Round v to 3 dps. -0.023 Let q = -36.4 - -36.4725. Round q to two decimal places. 0.07 Suppose -20 = 4*a, -4*a - 21 = -4*p + a. Let w be 3 + -1 + p + 6699999. Round w to the nearest one million. 7000000 Suppose 5*y + 3*b - 652 = 0, 3*y + 2*y + 2*b = 648. Let q = -186 + y. Round q to the nearest 10. -60 Let n = -4.028 - -6.311. Let a = n - -0.017. What is a rounded to the nearest integer? 2 Suppose -26*a - 47064658 - 38371342 = 0. Round a to the nearest one hundred thousand. -3300000 Let k = 46803543.000031 + -46803573. Let f = k + 30. Round f to 5 dps. 0.00003 Let t = -39.4 + 11.4. Let m = t + 28.0000323. What is m rounded to 6 decimal places? 0.000032 Let v = 280640.9836 - 280563. Let b = v + -78. Let o = 0.01 + b. What is o rounded to 3 dps? -0.006 Let d = -3.27582 - -3.229. What is d rounded to 3 decimal places? -0.047 Let x = -32 - -15. Let p = -13 - x. Let a = 3.9999969 - p. Round a to six dps. -0.000003 Let j be (16/(-3) + (-80)/(-16))*9. Let n(u) = 20*u + 5. Let g(z) = z + 1. Let y(s) = -3*g(s) + n(s). Let h be y(j). What is h rounded to the nearest ten? -50 Let m(z) = -8*z**2 + 7*z + 306*z**3 - 7 + 0 + 9 + 2. Let r be m(-12). What is r rounded to the nearest one hundred thousand? -500000 Let f = -2.81 + 6.32. What is f rounded to 1 dp? 3.5 Suppose 12 = -4*f - 5*r, -2*f - 2*r - 12 = 2*r. Suppose f*i - 2933173 = 15911849. Let p = 5822511 - i. Round p to the nearest 1000000. -4000000 Let u = 20 + -18.4. Let v = u - -90.4. Let y = v - 75.6. What is y rounded to the nearest integer? 16 Let k = -2827.086 + 2822. Let i = k + 5. Round i to two decimal places. -0.09 Suppose -5*r + r - 2 = -2*m, 4*m - 3*r = 9. Suppose -f = 4*i - 81293 - 15485, 0 = 5*f - m*i - 483959. Let g = f - 11790. Round g to the nearest ten thousand. 90000 Let h = 195 - 340. Let t = -145.00000365 - h. Round t to seven dps. -0.0000037 Let r = -127 - -121.1. Let d = r - 3.6. Let f = d - -11. What is f rounded to the nearest integer? 2 Let w = 558016.0046 - 558065. Let o = 49 + w. Round o to three decimal places. 0.005 Let p = 1.412 - 1.41200833. What is p rounded to 7 decimal places? -0.0000083 Let p = 24 - 29. Let a = -495067942.00000066 + 495067947. Let x = a + p. What is x rounded to seven decimal places? -0.0000007 Let r = 58 - -49. Let l = r + -107.000032.
{ "pile_set_name": "DM Mathematics" }
14830, 14798, 14722, 14584, 14366, 14050? -3*p**3 - 4*p**2 + p + 14836 What is the m'th term of 4412, 4908, 5424, 5972, 6564, 7212, 7928? 2*m**3 - 2*m**2 + 488*m + 3924 What is the f'th term of 42898, 343388, 1159062, 2747512, 5366330? 42932*f**3 - 34*f What is the t'th term of -45562906, -182251616, -410066140, -729006484, -1139072654, -1640264656, -2232582496, -2916026180? -t**3 - 45562901*t**2 - 4 What is the v'th term of -183494, -183424, -183356, -183290, -183226, -183164? -v**2 + 73*v - 183566 What is the a'th term of 2678207, 5356418, 8034631, 10712846, 13391063? a**2 + 2678208*a - 2 What is the j'th term of -206, -1365, -4514, -10655, -20790, -35921? -167*j**3 + 7*j**2 - 11*j - 35 What is the k'th term of 1646964, 3294220, 4941476, 6588732, 8235988, 9883244? 1647256*k - 292 What is the f'th term of 663, -1417, -3497, -5577, -7657, -9737? -2080*f + 2743 What is the o'th term of -191504, -191474, -191444? 30*o - 191534 What is the z'th term of -77, -346, -631, -944, -1297, -1702, -2171, -2716? -2*z**3 + 4*z**2 - 267*z + 188 What is the v'th term of -49013, -98368, -147723? -49355*v + 342 What is the f'th term of 21941, 43241, 64541, 85841? 21300*f + 641 What is the c'th term of -11701103, -23402186, -35103267, -46804346, -58505423, -70206498? c**2 - 11701086*c - 18 What is the l'th term of 23941369, 23941371, 23941373, 23941375? 2*l + 23941367 What is the b'th term of 7039, 28228, 63549, 113002? 7066*b**2 - 9*b - 18 What is the k'th term of 10030, 40042, 90042, 160030? 9994*k**2 + 30*k + 6 What is the c'th term of 37917, 151184, 339961, 604248, 944045, 1359352? 37755*c**2 + 2*c + 160 What is the z'th term of 2122, 3905, 5026, 5155, 3962, 1117, -3710? -55*z**3 - z**2 + 2171*z + 7 What is the u'th term of -36971, -74016, -111063, -148112, -185163? -u**2 - 37042*u + 72 What is the y'th term of 615743, 1231340, 1846937, 2462534, 3078131, 3693728? 615597*y + 146 What is the t'th term of 345119, 1380500, 3106135, 5522024, 8628167, 12424564, 16911215? 345127*t**2 - 8 What is the d'th term of -154017, -308024, -462031? -154007*d - 10 What is the b'th term of -24922, -24821, -24652, -24415, -24110, -23737, -23296? 34*b**2 - b - 24955 What is the h'th term of 23059417, 46118829, 69178237, 92237641, 115297041, 138356437? -2*h**2 + 23059418*h + 1 What is the r'th term of -8821, -8546, -8249, -7930? 11*r**2 + 242*r - 9074 What is the s'th term of -11973835, -23947667, -35921495, -47895319, -59869139, -71842955, -83816767? 2*s**2 - 11973838*s + 1 What is the z'th term of 2631409, 5262794, 7894169, 10525528, 13156865, 15788174, 18419449? -z**3 + z**2 + 2631389*z + 20 What is the i'th term of -249268, -499489, -749710, -999931, -1250152? -250221*i + 953 What is the v'th term of -532, -1710, -3086, -4210, -4632, -3902? 75*v**3 - 549*v**2 - 56*v - 2 What is the g'th term of 40999463, 40999466, 40999469, 40999472, 40999475? 3*g + 40999460 What is the n'th term of 182855, 365773, 548691? 182918*n - 63 What is the f'th term of -6982, -5651, -4320, -2989, -1658? 1331*f - 8313 What is the i'th term of 150909, 150876, 150845, 150816, 150789, 150764, 150741? i**2 - 36*i + 150944 What is the u'th term of 237811965, 475623928, 713435891, 951247854, 1189059817? 237811963*u + 2 What is the j'th term of 1473, 7104, 16941, 30984? 2103*j**2 - 678*j + 48 What is the h'th term of 825, 3765, 8665, 15525, 24345, 35125? 980*h**2 - 155 What is the p'th term of -343868, -687742, -1031618, -1375496? -p**2 - 343871*p + 4 What is the r'th term of 488, -131, -1002, -1993, -2972, -3807? 22*r**3 - 258*r**2 + r + 723 What is the m'th term of 5833212, 11666390, 17499568, 23332746? 5833178*m + 34 What is the v'th term of -843, 1954, 4751, 7548? 2797*v - 3640 What is the s'th term of 137406, 274799, 412192, 549585? 137393*s + 13 What is the d'th term of 59222, 61892, 64562, 67232, 69902? 2670*d + 56552 What is the z'th term of -1313, -1439, -1601, -1799? -18*z**2 - 72*z - 1223 What is the y'th term of -27452, -109823, -247096, -439265, -686324, -988267? y**3 - 27457*y**2 - 7*y + 11 What is the n'th term of -10266, -13310, -21566, -37638, -64130? -434*n**3 - 2*n**2 - 9830 What is the s'th term of 8642348, 8642383, 8642418? 35*s + 8642313 What is the q'th term of -275369184, -550738367, -826107550, -1101476733? -275369183*q - 1 What is the l'th term of 124591, 249208, 373839, 498490, 623167, 747876, 872623, 997414? l**3 + l**2 + 124607*l - 18 What is the t'th term of -2270, -2019, -1774, -1535, -1302, -1075? -3*t**2 + 260*t - 2527 What is the h'th term of 75030, 73466, 71900, 70332, 68762, 67190? -h**2 - 1561*h + 76592 What is the w'th term of -8194551, -8194561, -8194575, -8194593, -8194615, -8194641, -8194671? -2*w**2 - 4*w - 8194545 What is the x'th term of 354424, 354472, 354520? 48*x + 354376 What is the b'th term of 46495170, 92990322, 139485462, 185980584, 232475682, 278970750, 325465782, 371960772? -b**3 + 46495159*b + 12 What is the x'th term of -3003326, -6006643, -9009960? -3003317*x - 9 What is the p'th term of 9477240, 18954428, 28431616, 37908804, 47385992, 56863180? 9477188*p + 52 What is the k'th term of 1576771, 1576655, 1576539? -116*k + 1576887 What is the o'th term of 8236, 17748, 28540, 40612, 53964? 640*o**2 + 7592*o + 4 What is the d'th term of 2551548837, 2551548839, 2551548841, 2551548843, 2551548845? 2*d + 2551548835 What is the t'th term of -1192, -9470, -31912, -75592, -147584, -254962? -1179*t**3 - 8*t**2 - t - 4 What is the b'th term of 133, 1004, 3349, 7906, 15413, 26608, 42229, 63014? 123*b**3 - b**2 + 13*b - 2 What is the r'th term of -2641, 4009, 15093, 30611, 50563, 74949, 103769? 2217*r**2 - r - 4857 What is the c'th term of 113463433, 113463432, 113463431, 113463430, 113463429? -c + 113463434 What is the o'th term of 8437, 18028, 27595, 37126, 46609, 56032, 65383, 74650? -2*o**3 + 9605*o - 1166 What is the x'th term of -9649, -19310, -28991, -38692, -48413, -58154? -10*x**2 - 9631*x - 8 What is the n'th term of -6253, -6338, -6509, -6808, -7277, -7958? -7*n**3 - n**2 - 33*n - 6212 What is the o'th term of -294, -1295, -2922, -5157, -7982, -11379, -15330, -19817? 3*o**3 - 331*o**2 - 29*o + 63 What is the k'th term of -2761655, -2761661, -2761667? -6*k - 2761649 What is the x'th term of 20373, 41233, 62093, 82953? 20860*x - 487 What is the k'th term of -1413, -11231, -37831, -89589, -174881, -302083, -479571? -1396*k**3 - 15*k**2 - k - 1 What is the y'th term of 767, 3085, 6887, 12107, 18679, 26537, 35615, 45847? -11*y**3 + 808*y**2 - 29*y - 1 What is the o'th term of 100771, 201572, 302403, 403264, 504155, 605076, 706027? 15*o**2 + 100756*o What is the x'th term of -62678, -125379, -188134, -250943, -313806? -27*x**2 - 62620*x - 31 What is the y'th term of -2513, -2358, -2099, -1736? 52*y**2 - y - 2564 What is the i'th term of 489304, 1957236, 4403814, 7829056, 12232980, 17615604, 23976946, 31317024? 3*i**3 + 489305*i**2 - 4*i What is the y'th term of 31876318, 63752638, 95628958, 127505278, 159381598, 191257918? 31876320*y - 2 What is the k'th term of 465391852, 465391844, 465391826, 465391792, 465391736, 465391652? -k**3 + k**2 - 4*k + 465391856 What is the q'th term of -668008, -1335830, -2003662, -2671510, -3339380, -4007278, -4675210, -5343182? -q**3 + q**2 - 667818*q - 190 What is the r'th term of 752, -34558, -69866, -105172, -140476, -175778, -211078? r**2 - 35313*r + 36064 What is the y'th term of 14872, 29610, 44188, 58612, 72888, 87022, 101020? y**3 - 86*y**2 + 14989*y - 32 What is the p'th term of 10031, 4927, -177, -5281, -10385, -15489? -5104*p + 15135 What is the q'th term of -5429790, -10859578, -16289366? -5429788*q - 2 What is the q'th term of -623874, -1247756, -1871638, -2495520, -3119402, -3743284? -623882*q + 8 What is the p'th term of 4824630, 4824634, 4824638? 4*p + 4824626 What is the o'th term of 4053, 32347, 109131, 258645, 505129? 4040*o**3 + 5*o**2 - o + 9 What is the a'th term of 156773, 156758, 156743, 156728, 156713? -15*a + 156788 What is the l'th term of 6897348, 6897352, 6897358, 6897366, 6897376? l**2 + l + 6897346 What is the c'th term of 63540, 63532, 63526, 63522? c**2 - 11*c + 63550 What is the s'th term of 64087, 63929, 63665, 63295, 62819? -53*s**2 + s + 64139 What is the d'th term of -6806, -28063, -63778
{ "pile_set_name": "DM Mathematics" }
hat is the units digit of 401199786? 6 What is the millions digit of 8512005? 8 What is the hundreds digit of 263651092? 0 What is the ten thousands digit of 153500192? 0 What is the ten millions digit of 444709866? 4 What is the hundreds digit of 63418588? 5 What is the ten millions digit of 650039179? 5 What is the units digit of 116496128? 8 What is the hundred millions digit of 3021703190? 0 What is the tens digit of 36868984? 8 What is the millions digit of 109693823? 9 What is the tens digit of 32049229? 2 What is the units digit of 1464153471? 1 What is the hundreds digit of 13988622? 6 What is the ten millions digit of 1840866282? 4 What is the ten millions digit of 30968318? 3 What is the thousands digit of 1175156381? 6 What is the hundreds digit of 1124762099? 0 What is the millions digit of 620759889? 0 What is the thousands digit of 4532990264? 0 What is the hundreds digit of 1363513519? 5 What is the tens digit of 58813762? 6 What is the thousands digit of 104550368? 0 What is the units digit of 2393973723? 3 What is the hundred thousands digit of 35342862? 3 What is the units digit of 453518249? 9 What is the tens digit of 6869801270? 7 What is the millions digit of 10971894? 0 What is the hundred thousands digit of 950264208? 2 What is the ten millions digit of 28264957? 2 What is the millions digit of 227658575? 7 What is the hundreds digit of 30504488? 4 What is the ten millions digit of 26380231? 2 What is the hundred thousands digit of 346846367? 8 What is the ten thousands digit of 6975793016? 9 What is the units digit of 492145786? 6 What is the millions digit of 322824279? 2 What is the hundred thousands digit of 37773836? 7 What is the hundred millions digit of 664045046? 6 What is the thousands digit of 40216209? 6 What is the hundreds digit of 10223078? 0 What is the tens digit of 282160352? 5 What is the millions digit of 28061978? 8 What is the thousands digit of 539730923? 0 What is the millions digit of 21740847? 1 What is the tens digit of 809321043? 4 What is the ten thousands digit of 239032255? 3 What is the hundred thousands digit of 3300516440? 5 What is the thousands digit of 546683100? 3 What is the thousands digit of 38893715? 3 What is the hundred millions digit of 994172092? 9 What is the hundreds digit of 53990014? 0 What is the hundred thousands digit of 59496757? 4 What is the units digit of 90181940? 0 What is the ten millions digit of 51343592? 5 What is the millions digit of 915332390? 5 What is the tens digit of 2019782521? 2 What is the thousands digit of 117463695? 3 What is the units digit of 42283942? 2 What is the units digit of 183877253? 3 What is the ten millions digit of 736150549? 3 What is the hundred millions digit of 8825015328? 8 What is the ten thousands digit of 11732472? 3 What is the tens digit of 52933225? 2 What is the ten thousands digit of 844722193? 2 What is the hundreds digit of 399813927? 9 What is the ten thousands digit of 12538536? 3 What is the millions digit of 217809958? 7 What is the ten thousands digit of 127383420? 8 What is the thousands digit of 2350872396? 2 What is the billions digit of 1212982875? 1 What is the units digit of 388943073? 3 What is the ten thousands digit of 962436742? 3 What is the hundreds digit of 166314792? 7 What is the ten thousands digit of 128978491? 7 What is the hundreds digit of 43710294? 2 What is the hundred thousands digit of 21655210? 6 What is the units digit of 256559716? 6 What is the ten thousands digit of 55215288? 1 What is the hundreds digit of 696445562? 5 What is the hundreds digit of 1155156461? 4 What is the tens digit of 1079407419? 1 What is the hundred thousands digit of 889111511? 1 What is the ten millions digit of 1806062905? 0 What is the thousands digit of 761748743? 8 What is the units digit of 24483397? 7 What is the thousands digit of 253873580? 3 What is the hundreds digit of 47769417? 4 What is the billions digit of 5931185529? 5 What is the ten thousands digit of 48582603? 8 What is the hundred thousands digit of 115002490? 0 What is the hundred thousands digit of 123088767? 0 What is the tens digit of 126296653? 5 What is the hundred thousands digit of 138949857? 9 What is the tens digit of 254080163? 6 What is the millions digit of 84286547? 4 What is the millions digit of 738244473? 8 What is the ten millions digit of 188314022? 8 What is the units digit of 1089540306? 6 What is the hundreds digit of 34555842? 8 What is the units digit of 99311185? 5 What is the units digit of 5370306733? 3 What is the hundred thousands digit of 15654322? 6 What is the tens digit of 47957218? 1 What is the thousands digit of 424823918? 3 What is the billions digit of 3057961395? 3 What is the ten thousands digit of 44153259? 5 What is the ten thousands digit of 1008804255? 0 What is the hundreds digit of 14455908? 9 What is the hundred thousands digit of 1158205861? 2 What is the hundred millions digit of 548812068? 5 What is the ten millions digit of 1421208300? 2 What is the tens digit of 559755652? 5 What is the ten thousands digit of 405526788? 2 What is the ten millions digit of 315209607? 1 What is the ten thousands digit of 4755709? 5 What is the thousands digit of 156582104? 2 What is the millions digit of 194172857? 4 What is the units digit of 16360872? 2 What is the ten thousands digit of 246016433? 1 What is the units digit of 150606192? 2 What is the hundred millions digit of 1987432015? 9 What is the thousands digit of 1486579004? 9 What is the millions digit of 650896066? 0 What is the tens digit of 289889253? 5 What is the thousands digit of 1582397958? 7 What is the units digit of 45749482? 2 What is the millions digit of 3181544? 3 What is the hundred millions digit of 941166482? 9 What is the millions digit of 919858350? 9 What is the tens digit of 579924641? 4 What is the units digit of 203799308? 8 What is the ten millions digit of 34553357? 3 What is the ten millions digit of 10592189? 1 What is the tens digit of 3177659488? 8 What is the ten millions digit of 824787247? 2 What is the hundred millions digit of 1445526955? 4 What is the hundred millions digit of 2684402204? 6 What is the thousands digit of 1434191320? 1 What is the ten millions digit of 258365765? 5 What is the millions digit of 1944630822? 4 What is the hundred thousands digit of 759806274? 8 What is the thousands digit of 30857989? 7 What is the ten thousands digit of 95065009? 6 What is the tens digit of 28287550? 5 What is the ten millions digit of 71797388? 7 What is the hundred thousands digit of 70735880? 7 What is the thousands digit of 90270617? 0 What is the hundred thousands digit of 320739? 3 What is the hundred thousands digit of 4160813112? 8 What is the hundred thousands digit of 62622492? 6 What is the ten millions digit of 335254894? 3 What is the millions digit of 9296988? 9 What is the ten millions digit of 261731450? 6 What is the hundreds digit of 6029100? 1 What is the thousands digit of 56262142? 2 What is the units digit of 59905924? 4 What is the millions digit of 412621321? 2 What is the hundred millions digit of 2804993108? 8 What is the thousands digit of 3740509? 0 What is the billions digit of 1644249534? 1 What is the thousands digit of 41800985? 0 What is the hundreds digit of 37773520? 5 What is the millions digit of 7030805? 7 What is the hundred thousands digit of 913645805? 6 What is the thousands digit of 5161603167? 3 What is the units digit of 17182521? 1 What is the ten thousands digit of 34183649? 8 What is the ten thousands digit of 114614947? 1 What is the ten millions digit of 145123148? 4 What is the thousands digit of 33940503? 0 What is the ten millions digit of 27056931? 2 What is the units digit of 66382497? 7 What is the hundred millions digit of 329323344? 3 What is the thousands digit of 28112544? 2 What is the ten millions digit of 96097314? 9 What is the tens digit of 1401942804? 0 What is the thousands digit of 25074448? 4 What is the tens digit of 18788323? 2 What is the tens digit of 41883336? 3 What is the ten thousands digit of 41153842? 5 What is the hundreds digit of 443686882? 8 What is the units digit of 2145290521? 1 What is the hundred thousands digit of 606381
{ "pile_set_name": "DM Mathematics" }
4*w - 29. Let m(a) = 7*s(a) - 5*v(a). Is 9 a factor of m(z)? False Let s = -84 - -90. Let f be 64/(-6) + 5 + 4/s. Let r(p) = -26*p - 25. Is r(f) a multiple of 21? True Suppose 5*f - 35174 = 3*y, -y + 3*y = 4. Is 86 a factor of f? False Let a be (-10)/(-75) - 1352/15. Let p be (a - 0)*(-1)/4*6. Let y = p - 49. Does 4 divide y? False Does 15 divide -52*((-9 - (-110)/10) + 125/(-2))? False Let s = 325 - 341. Is 4 a factor of (s/(-48))/(4/324)? False Suppose 23864 = 5*x + 3*z, -1080 - 13218 = -3*x + 5*z. Is 31 a factor of x? False Let h be (96/(-18))/(-2)*129. Let n = h + -220. Is n a multiple of 4? True Let a(v) = -12*v + 2. Let f be a(-2). Suppose 25*r = f*r. Suppose -3*l + 170 - 38 = r. Is l a multiple of 11? True Suppose 2*h - 21 = -29, -4*k + 4*h + 32 = 0. Let m be -2 - 0 - (-15)/3. Suppose -m*r = u - 232, -k*u - u + r = -1144. Is 14 a factor of u? False Suppose -22*a + 35356 = -24902. Is 142 a factor of a? False Let z = 350 + -417. Let h = z - -522. Does 59 divide h? False Let d(k) = 699*k + 5015. Does 23 divide d(5)? True Suppose 20*o - 10*o - 130 = 0. Suppose -43 = -o*w + 165. Suppose -w*j + 15*j = d - 48, 0 = -5*d - 2*j + 234. Is 9 a factor of d? False Let s(p) = -p**3 + 17*p**2 + 5*p + 23. Let j(o) = -o**2 + 11*o - 13. Let b be j(5). Is s(b) a multiple of 26? False Suppose 4*y - 208248 = -4*p, 5*p + 107684 = -3*y + 367994. Does 87 divide p? False Let v be (-25)/(-5) + (8 - 0). Suppose 7*j - v*j = -2562. Is 36 a factor of j? False Suppose 4*n + 4*l - 5320 = 6*l, l - 3980 = -3*n. Is 8 a factor of n? True Let i be 4 + -1 - (-320)/((-28)/(-7)). Let m = -78 + i. Suppose m*q = 14*q - 324. Is q a multiple of 9? True Suppose 4*u + 12*x - 11*x - 47383 = 0, -2*x + 14 = 0. Is 42 a factor of u? True Let p(c) = 8*c**2 + 15 - 9*c**2 - 11*c + 0*c**2 - 3. Let o = -14 - -6. Does 12 divide p(o)? True Let m be 18*3/9 - -5. Suppose m*j - 7*j = 5*t - 4744, 4*t - 3797 = 5*j. Is t a multiple of 37? False Let q(p) = 46*p**2 + 148*p + 3527. Does 13 divide q(-21)? False Suppose 0 = 27*i - 47*i + 24300. Suppose 4*z + 28*c = 32*c + 1648, i = 3*z + 4*c. Is z a multiple of 4? False Let a = 12018 - 8052. Is 54 a factor of a? False Let v(l) = 2*l**2 + 612*l + 1 - 612*l. Let m be v(1). Suppose -2*o = -3*o - m*n + 150, -845 = -5*o + 4*n. Is o a multiple of 11? True Suppose -3*j + 3*c = -51, 4*j + 2*c = -j + 106. Does 3 divide 98 - 2/8*j? True Let y(n) = 14*n + 3. Let v be y(0). Suppose 4*h = -v*h + 3731. Does 17 divide h? False Let i(a) = 2*a + 22 - 6*a - a**3 + 13*a**2 + 20. Let g be i(10). Is 13 a factor of (3 - (-2 - g)/4) + -1? True Suppose -5*x = -15, -4*l + 17 + 58 = x. Is 69 a factor of 3/l - ((-40707)/54 - 5)? True Let w(c) = 136*c**2 - 164*c - 3. Is w(4) a multiple of 49? False Suppose -6*i + 5*i + 6 = 0. Suppose i*z = 3901 - 1045. Is z a multiple of 17? True Suppose 267544 = 138*k - 456680. Does 140 divide k? False Suppose 1950 = -18*j + 20706. Let k = 2098 - j. Is k a multiple of 12? True Let l = 4707 + -1473. Is l a multiple of 21? True Suppose 2*j - 62 = 3*p, -2*j + 38 = -j - 5*p. Let a = 31 - j. Suppose -2*s - 9 = -5*s, 2*m - a*s = 207. Does 18 divide m? True Suppose 0 = -v + 3*y + 16, 6*v = v - y + 32. Does 12 divide 1*87*(4 + 3)/v? False Let q be (2/6)/(2 - (-262)/(-132)). Suppose -m = -q + 19. Suppose -73 = -2*t - m*l + 47, 4*t - 2*l - 208 = 0. Does 18 divide t? True Does 145 divide -8*2234/28*(272/16 - 24)? False Let o(h) = 2*h**3 - 8*h**2 + 33*h - 13. Is o(11) a multiple of 14? True Let s = 3086 - -1452. Is 14 a factor of s? False Let n(p) = 146*p + 6072. Is 18 a factor of n(24)? True Let w(j) = 11*j**2 - 127*j + 809. Is w(28) a multiple of 9? True Let a = -184 - -178. Is 2670/50 - (-2)/((-20)/a) a multiple of 54? True Is 25 a factor of 38 + (-9 - 56/14)? True Let h(q) = -84*q**3 + 18*q**2 + 4*q - 56. Is h(-7) a multiple of 126? True Suppose -41*i + 66450 = -55566. Is i a multiple of 24? True Let k(v) = 2*v**3 + 4*v**2 + 9*v + 207. Does 5 divide k(13)? False Let n(v) = -v + 7. Let m be n(7). Suppose 3*r + 4*w = -m*r + 1318, -w + 1306 = 3*r. Is 31 a factor of r? True Let t(o) = -o**3 + 55*o**2 - 295*o + 58. Let l be t(49). Suppose 4*i + 3 = 4*a + 11, -5*i = -2*a - 7. Is a*33/l*-15 a multiple of 23? False Let b(s) = 2*s**3 + 43*s**2 - 27*s - 96. Is 89 a factor of b(-18)? False Let x = 7875 - 4005. Is 18 a factor of x? True Let f = -852 + 854. Suppose 4*q - 3*z - 15 = 0, -2*q + 5*z = -28 + 3. Suppose q = -f*d - 2*o + 58 + 22, 5*d + 3*o - 208 = 0. Is d a multiple of 6? False Let n = 225 - 351. Let m = n + 151. Is m even? False Suppose 7*m = -13*m + 88640. Is 16 a factor of m? True Let f(p) = 2*p + 12. Let b be f(0). Let n be b/(-42) + 2686/(-7). Let g = -249 - n. Does 58 divide g? False Suppose -2*y - y = -4*c - 31, 30 = 3*y - 3*c. Let b be 2/(-3 + y) + (-2)/6. Suppose b = -6*q + 334 + 320. Is 8 a factor of q? False Let z(r) = 38*r**2 + 32*r + 171. Is z(13) a multiple of 7? False Let p = 904 + -880. Is (-2 - 44/(-16)) + 15246/p a multiple of 12? True Let k(w) = -w**2 + 11*w - 9. Let q be k(8). Suppose q*c = 17*c + 6. Is 14 a factor of -12*(c - 23/4)? False Let l = 214 + -209. Suppose -4*w + 2*w = -4*g + 562, l*w + 425 = 3*g. Does 7 divide g? True Suppose 4*t = -2*n + 2150, -3*t + 1640 = -274*n + 270*n. Does 60 divide t? True Suppose -18*n + 27*n = 27. Suppose -5*w + 40 = -0*w + 5*x, n*w - 20 = -5*x. Suppose 0 = w*o + 1069 - 2749. Is o a multiple of 24? True Suppose -2*r + 459 = -5*h, -10*r + 335 = -4*h - 13*r. Let u be 2066/18 + 2/9. Let g = h + u. Is 26 a factor of g? True Let q = 581 - 972. Let y = q - -463. Does 3 divide y? True Let d(j) = 24*j**2 - 9*j - 7. Let x be d(6). Suppose 0 = -y + x - 147. Is y a multiple of 16? True Let b = -546 + 534. Is b/((-16)/4) + (104 - 5) a multiple of 17? True Let p(r) = r**2 - 22*r - 43. Let t be p(24). Suppose t*w - 3 = 7. Suppose -k - 2*k + 337 = -j, -2*k + w*j + 226 = 0. Does 7 divide k? True Let m = -329 - -317. Let l(a) = 11*a**2 + 7*a + 84. Is l(m) a multiple of 18? True Suppose -377068 - 695018 = -37*b + 925914. Does 240 divide b? True Suppose -4*b - 662 - 3206 = -5*y, 3*y + b = 2348. Is 3 a factor of y? True Suppose 1463 = 2*p - q, -34*p = -35*p - q + 733. Let k = p - 430. Does 58 divide k? False Suppose 0 = 4*h - 2*h - 3*r + 36, -3*h + 3*r = 48. Let i be (-8394)/h - 2/(-8)*2. Suppose -6 - 14 = -4*u, 3*n + 2*u - i = 0. Is 18 a factor of n? False Suppose -3*w = c - 3 + 19, -5 = 5*c. Let i = w + 50. Does 3 divide i/(-75) + (-373)/(-5)? False Is 60 a factor of ((-426)/(-2) + -13)/(8/108)? True Suppose -3*q + 8*q + 33 = -2*l, 5*l - 3*q = -5. Let j be (3 + (-85)/20)*l. Suppose -j*z = -8*z + 276. Does 11 divide z? False Let l = 135 + -138. Let f(x) = 57*x**2 + 4*x + 6. Does 12 divide f(l)? False Suppose 0 = 16*b + 3*b - 7524. Let c = b + -174. Is c a multiple of 37? True Suppose x + 0*x - 3*m - 6 = 0, -4*m = -2*x + 8. Suppose x*s - 4 = s, 4*a - 32 = 5*s. Suppose n + a*u = 81, -n - 3*n + 2*u + 352 = 0. Is 11 a factor of n? False Suppose 5*k = -4*j - 794, 5*k - 786 = 4*j + 6*k. Let q = -120 - j. Is q a multiple of 5? False Suppose 71*x + 24*x = 513000. Does 15 divide x? True Suppose -38*x - 103950 = -83*x. Is x a multiple of 6? True Let a be (-7 + -241 + -7)*11/(-3). Let c = a + -712. Is c a multiple of 2? False Let q be (-2516)/(-30) - 38/(-285). Suppose -f + q = d, 262 = 3*d - 0*d + f. Let j = d - 19. Is j a multiple of 11? False Let w(y) = 83*y**2 - 730*y + 19. Does 63 divide w(15)? False Let v be -5 - (1 + -2852)*-1. Is 3 a factor of (6/(-7))/(34/v)? True Suppose x = 4*x - 87. Suppose -x*p - 6 = -27*p. Let a = 25 + p. Is 5 a factor of a? False Suppose -9*o - 4330 = 233. Let l = o - -865. Is l a multiple of 31? False Suppose -22978 - 15250 = -28*h + 33648. Is h a multiple of 85? False Let r = -1 - -11. Let h be (-10 - 0)*1*(-6)/r. Suppose -h*v + 48 = -48. Does 11 divide v? False Let y be 1 + (-3 - (-5 - -1)). Suppose k - 17 = y*r, -5*k + 64 = -4*r - 21. Let g = k - -49. Is 7 a factor of g? False Let j(c) = c**2 + 13*c - 131. Let g be j(-20). Is 33 a factor of (15/(-2))/(1/(-198)*g)? True Let j(o) = -7*o + 68. Let d be j(9). Suppose 2*h + d*s - 70 = 887, -3*s - 1446 = -3*h. Does 6 divide h? False Let g = -14351 + 23199. Is 56 a factor of g? True Suppose -d + 4*f + 4494 = -374, 0 = -5*f + 5. Does 4 divide d? Tr
{ "pile_set_name": "DM Mathematics" }
9 less than 0.28979557? 9.28979557 -2727 - 278.30425 -3005.30425 Add together 1.579 and 21711. 21712.579 What is the distance between -0.049 and -15.241795? 15.192795 Work out -82 - -142121. 142039 Work out -603.461 + 24796. 24192.539 Add together -114 and 127785. 127671 What is -0.419192707 + -1? -1.419192707 Sum 0.1 and 2703563.47. 2703563.57 -10996.485+-65 -11061.485 7091+0.142152 7091.142152 What is 0.2726 plus 5125? 5125.2726 Calculate 71746389 - 49.9. 71746339.1 What is -150658377 minus -0.5? -150658376.5 Sum 0.32 and 0.084597. 0.404597 Add together 4 and -3.375103. 0.624897 What is -1668802 less than 0.443? 1668802.443 What is 2 less than -97.23412? -99.23412 Subtract 0.1 from -0.0170201215. -0.1170201215 What is 0.534 take away -323121? 323121.534 Calculate -20810869 - -0.088. -20810868.912 Sum 139 and -4378747. -4378608 What is 633886148 - -14? 633886162 Sum -1771 and -0.4254. -1771.4254 What is 5926.941 - 57? 5869.941 What is -27 take away -1204824.77? 1204797.77 Add -270980438.66 and 0.05. -270980438.61 Total of -425717.98 and -1. -425718.98 Add together -5 and -164697439. -164697444 Put together 0.32 and 465327. 465327.32 What is -27552302 minus -5? -27552297 What is -0.03082 less than -13257353? -13257352.96918 Total of -25 and 229106.5. 229081.5 What is 430737 take away -0.31? 430737.31 What is 19.42042 minus 15? 4.42042 Total of -328.8359 and 0.0529. -328.783 Add -5204153.8 and -42. -5204195.8 Calculate -22.199809 - -1. -21.199809 -191874 - 0.0855 -191874.0855 -0.040977 - 0.0519 -0.092877 -5861+19853 13992 Subtract 31 from 105.8487. 74.8487 Work out 46.08 - -831. 877.08 Calculate 76 + -62048222. -62048146 1730.94639525+0.4 1731.34639525 What is -1742 plus -28214146? -28215888 Total of -0.1 and -542221720. -542221720.1 Work out 336.85 + 254.1. 590.95 What is -2130120 + -0.12? -2130120.12 What is 152098.9 minus -0.151? 152099.051 What is 0.2 - -35841283? 35841283.2 Total of 1.52849 and 77. 78.52849 What is -835013081 less than -0.09? 835013080.91 Calculate 1989.817 - 201. 1788.817 Work out 12.5 - 3495.924. -3483.424 Work out -12448 - 967. -13415 Calculate 0.05 + -1475.783. -1475.733 0.8036+4.0536 4.8572 What is -4.7 - 20161.7? -20166.4 Work out 31 - -33.718847. 64.718847 What is -1261278697 take away 5? -1261278702 Sum -4.5 and -33054.79. -33059.29 What is -5 minus 4261158? -4261163 Put together -0.0413 and -9951.66. -9951.7013 What is 6167487 take away 2? 6167485 What is -484190 plus -0.706? -484190.706 Add -88.817682 and 0.018. -88.799682 What is the distance between -204 and -2634? 2430 Work out -9762.59958 - -0.01. -9762.58958 Total of -171830 and 997. -170833 -577.68 - 0.0344 -577.7144 8+-3409006142 -3409006134 Add -105.2 and -12.235. -117.435 What is 0.0009 + 101257.419? 101257.4199 Work out 1.69465718 - 11.7. -10.00534282 Calculate -0.1 - 0.8921929. -0.9921929 Work out -0.24 + 0.2281119. -0.0118881 What is 474.25911 + -0.2? 474.05911 Work out -276.6498 - 1402. -1678.6498 What is -0.0798 minus 794? -794.0798 Calculate -0.3796 - 4609254. -4609254.3796 What is -8517521907 - -0.5? -8517521906.5 Work out 57064194 - -12. 57064206 Add 19 and -2351052. -2351033 What is 67864 - 0.150803? 67863.849197 Calculate -3.06 + 8.041243. 4.981243 What is 0.3 - -12.356872703? 12.656872703 What is -2038840711 take away 5? -2038840716 What is -116784713 take away 200? -116784913 What is -6 + 2074446? 2074440 Work out -0.4 - -3063.5712. 3063.1712 What is 2 take away -9330621? 9330623 Calculate 0.3 + 1232.94. 1233.24 Work out 9134.762 + 122. 9256.762 Sum -0.1163 and -295.542. -295.6583 Subtract -0.06 from -697035586. -697035585.94 What is 0.110489363 minus -0.1? 0.210489363 Add together -24702 and 11316. -13386 -0.3+-52.2428 -52.5428 What is the difference between -14 and 26685763.42? 26685777.42 What is 0.1 take away 12375862? -12375861.9 Put together 12159 and 0.6695. 12159.6695 -0.5 - 82501.514 -82502.014 Put together 3401 and 826.0198. 4227.0198 Work out 38.03614 + -11. 27.03614 What is -0.03 less than 7236061? 7236061.03 Add together 561585829 and 3. 561585832 Total of 0.4 and -0.10028535. 0.29971465 Add together -34560.765 and 4.1. -34556.665 0.12994+-8248 -8247.87006 -3.56126 + 8 4.43874 What is -12059.122 - -9.6? -12049.522 Add 913709 and 0.16. 913709.16 Calculate 258.104369 + 0.4. 258.504369 Calculate 3.479 - -6530.5. 6533.979 4877 - 1.4152868 4875.5847132 What is 186207 less than 0.207? -186206.793 Work out 2052 - 8135. -6083 What is the distance between -3500 and -45.49? 3454.51 0.3+24083.3899 24083.6899 Calculate 4713 - 6037. -1324 What is the difference between -81850 and -21? 81829 What is -8182 minus 74.7? -8256.7 Total of 21728 and -359351. -337623 Sum 101.8 and -0.23540089. 101.56459911 Add -0.4 and 305405921. 305405920.6 Work out 46491 + -989.4. 45501.6 What is 16.29815 - -288? 304.29815 Add 0.044 and 60.122366. 60.166366 What is the difference between 16 and -3080008853? 3080008869 What is 1035.7672 plus -0.4? 1035.3672 Put together -0.357745949 and -0.1. -0.457745949 Work out -0.124 + 1387308. 1387307.876 What is -30180 - -135.23? -30044.77 Add -438 and -1222. -1660 Add 637 and 0.035376683. 637.035376683 Work out 7350255 - 2.01. 7350252.99 What is -10849 less than 3236? 14085 What is -0.2 + -235187.28? -235187.48 Work out -5 - 4026056. -4026061 What is -187677.63 minus 143? -187820.63 What is 0.2053 - 3460640? -3460639.7947 What is -0.6 take away 6.016158? -6.616158 Calculate -1.669 - 9792152. -9792153.669 Add 0.3 and 421622974. 421622974.3 Sum -190134545 and 27.5. -190134517.5 Subtract 6 from -2693916. -2693922 -20747180+-6 -20747186 Work out 0.29 - 33.3624616. -33.0724616 Add together 4.72045 and 0.1. 4.82045 What is 131387 take away 13672? 117715 What is -0.13638 minus -37871? 37870.86362 Subtract 284321 from 237.904. -284083.096 -0.05 + -2859263222 -2859263222.05 0.11 + 1160557.7 1160557.81 Sum -14.65105 and -22.52. -37.17105 Subtract 0.01996 from 28934. 28933.98004 What is 0.48876864 + 0? 0.48876864 What is 37129528 + 226? 37129754 Work out 0.5 + 45592735. 45592735.5 Calculate -38985 + 927.177. -38057.823 -1.092 - 15.038 -16.13 What is the distance between -0.05424 and 34.48? 34.53424 -993 + -36704125 -36705118 What is -0.0253313 - 1276? -1276.0253313 What is -2 take away 329642835? -329642837 What is 401.04 take away 1217.55? -816.51 Work out 402.983 + -0.08939. 402.89361 Total of -21119151 and 7. -21119144 925 + 4664.705 5589.705 Total of -0.3 and 1958228. 1958227.7 Put together -0.0531159 and 566. 565.9468841 -1985.6 - 515681 -517666.6 -0.5+-25.057312 -25.557312 Work out 1.3941 - 42.9555. -41.5614 What is -11427 - -73? -11354 What is -13267799 take away 1.215? -13267800.215 What is the difference between 26176492 and -18? 26176510 Total of 19641 and -1385. 18256 What is 232165195 + 0.5? 232165195.5 Work out -13.95 - 50882. -50895.95 Subtract -3237 from -5657. -2420 3666.1405 + -0.04 3666.1005 What is 2058265 minus 12.3? 2058252.7 Put together 648355 and 0.4. 648355.4 What is 12.67 + 464481? 464493.67 What is -25877718 - -0.1? -25877717.9 Total of 63 and 1044.2337. 1107.2337 What is 5094.67 plus 56? 5150.67 Work out -178579 + 4.707. -178574.293 What is -10969.177 plus 363? -10606.177 Put together 828780880 and 43. 828780923 What is -18052569 plus 3? -18052566 Work out 0.5 - 43359522. -43359521.5 Work out -12.2 + -3455094. -3455106.2 What is -988460 plus -3985? -992445 What is 270555571 less than -0.7? -270555571.7 What is 311073516 plus 31? 311073547 38.9118 + -54 -15.0882 Work out -8167.6 + -63.6. -8231.2 What is 0.4 less than -0.0313002916? -0.4313002916 Work out 0.655 + -2861.483. -2860.828 What is 159.697634595 + -3? 156.697634595 Calculate -11.598973 - 3.33. -14.928973 What is 195689 + -0.1446? 195688.8554 Total of -316540 and 18071. -298469 Subtract -2 from 5.3181711. 7.3181711 3.1 + -3.52364 -0.42364 Add together 6619 and -7768. -1149 What is -0.06528 minus 87112? -87112.06528 Calculate -269 + 56278. 56009 Put together -12425228 and -4. -12425232 -107.47 + -81.9101 -189.3801 What is the distance between 10163206 and 10? 10163196 What is the difference between -201171 and -22672? 178499 -1.309224 + -9 -10.309224 What is the difference between 0.4 and 2443890390? 2443890389.6 What is -0.185 minus -5097.56? 5097
{ "pile_set_name": "DM Mathematics" }
-5). Solve 0 = 2*i + a - 0 for i. -4 Let p = 7146 + -7086. Solve -18*s = -30*s - p for s. -5 Let x = 1316 + -1310. Solve 0 = x*j + 3*j + 45 for j. -5 Suppose -3*u - 1230 = -9*u. Let v = u + -201. Solve 2*p = v*p for p. 0 Let f(l) = 15*l**2 + 90*l + 2. Let k(n) = 3*n**3 + 15*n**2 + 2*n + 4. Let m be k(-5). Let c be f(m). Solve c*s = -2*s + 4 for s. 1 Let w be -72 + 81 + ((-15)/(-10))/((-1)/2). Let a = 1 - 1. Suppose 0 = -3*u + k - 4 + 30, 5*k = 4*u - 53. Solve a = -c - w + u for c. 1 Let g = -1 - -4. Let v = 9 - g. Let t = v - 4. Solve -t*p = -p - 4 for p. 4 Suppose -2*o + 3*k + 21 + 10 = 0, 5*o + 2*k = 11. Solve -o*z - 102 = -142 for z. 8 Let v be -1*(-10)/55 + 6/(-33). Let m be -13*(-1 + 12/(-3)). Let c be 2 - m/(-15) - (-2)/(-6). Solve v = 2*j - c for j. 3 Suppose 42 = 4*o + y, -4*y = 3*o + 3 - 41. Let b be (-94)/(-8) - (-2)/8. Let r = b - o. Solve 2 = r*q + 4 for q. -1 Let i(y) = -5*y**2 + 24*y - 10. Let o(x) = 4*x**2 - 3*x + 3. Let v be o(1). Let u be i(v). Solve 0*r + 2*r = u for r. 3 Suppose 48*x - 53*x = 4*n - 60, -2*x + 8 = 0. Solve n*k + 32 + 18 = 0 for k. -5 Suppose 43 - 8 = -7*o. Let f be 9/((-27)/(-6)) - (o + 3). Solve -4*w + 0*w = f for w. -1 Suppose 61 = -192*f + 4285. Solve -f = -10*w + 8 for w. 3 Let f be ((-6)/4)/(6/(-212)). Let c = f - 43. Solve c = -w + 6*w for w. 2 Let p = -10 - -14. Suppose -5 = 5*v + 4*c, -4 - 14 = -v + 3*c. Suppose -13*k + v*k = 2*k. Solve k = -p*b - 0*b for b. 0 Let h(i) be the second derivative of 4*i - 18*i**2 + 1/3*i**3 + 0. Let g be h(20). Solve -16 - g = -4*p for p. 5 Suppose -5*x = 6 - 31. Suppose x*g + j - 6*j = 0, -5*j + 32 = 3*g. Suppose 0 = -4*i + 4*i - g*i. Solve -b + 5*b + 8 = i for b. -2 Let a(d) be the first derivative of 8*d**3/3 - 3*d**2/2 - d - 5. Let x be a(-3). Let h = x - 79. Solve -h = c - 5 for c. 4 Let c be -3*6/(-27)*(-13 - -16)*10. Solve c*m + 228 = 58*m for m. 6 Let f(r) = 3*r + 33. Let m be (-77)/14*2 - -1*1. Let d be f(m). Solve -2*s = -s - d for s. 3 Let t(q) = -24*q - 31*q - 4 - 23*q + 9*q. Let o be t(1). Let z = o - -73. Solve 0 = 4*y - z*y - 16 for y. 4 Let a = -270 - -273. Suppose -j - a*r + 15 = 0, -3*j + 1 + 8 = -3*r. Solve -4*g + j*g - 2 = 0 for g. 1 Suppose 36*u - 39*u = -33. Solve u = 15*d - 4 for d. 1 Suppose 2730 = 140*a + 55*a. Solve a*z + 37 - 79 = 0 for z. 3 Suppose 199*d = 62*d + 3425. Let f be 1 - -1 - (3 + -3). Solve f*h - d = -3*h for h. 5 Let g = -12 - -22. Let r = g - 18. Let j(l) = l + 11. Let d be j(r). Solve h - d = -0 for h. 3 Let j(m) = -18*m - 165. Let v be j(-14). Solve 9*w + 51 = v for w. 4 Let w be -3 - 3*(-2)/(-6). Let k(q) = q**2 + 2*q + 1. Let c be k(w). Suppose -3*d = -2*s - 21, 23 = 4*d + 72*s - 73*s. Solve m = -d + c for m. 4 Let x(u) = u**2 + 13*u - 39. Let j be (-5 + -1 + 5)*16. Let m be x(j). Solve m*s - 16 = 5*s for s. 4 Let g = 6885 - 6232. Solve 650 = -d + g for d. 3 Let d(k) = -k**2 + 11*k - 9. Let m(n) = -n + 4. Let h be m(1). Suppose -2*v + z + 18 = 0, v + 4*v - 34 = -h*z. Let l be d(v). Solve -q - l = -6*q for q. 3 Let t = -4 - -7. Let n(l) = -l + 23. Let x(p) = -p**2 - 16*p - 18. Let g be x(-13). Let z be n(g). Solve -z*b = -t*b + 2 for b. 2 Suppose -n - 35 = -3*q, -q + 97 = -3*n - 0*q. Let y = n + 36. Suppose -y*j + 56 - 8 = 0. Solve 0*v - 3*v - j = 0 for v. -4 Let k(h) = -14*h**3 - 35*h**2 - 46*h - 55. Let d(y) = 5*y**3 + 12*y**2 + 16*y + 19. Let j(l) = -11*d(l) - 4*k(l). Let f be j(-7). Solve 30 = f*p + 2*p for p. 5 Let m = -6 + 9. Suppose 0 = 4*h + 163 - 51. Let b = 34 + h. Solve -b*g + m*g = -6 for g. 2 Suppose 6 + 10 = -4*k - 2*a, k - a + 4 = 0. Let x = -122 + 106. Let h = k - x. Solve 4*b = -0*b - h for b. -3 Let h be 5 - (2 + (-20)/(-8))*20/(-10). Solve -18 = h*o - 8*o for o. -3 Let r be 8/7*77/22. Suppose -f + 2*g + 23 = 0, r*f - 51 - 5 = -g. Suppose -12 = 3*z - f. Solve z + 8 = -3*o for o. -3 Suppose 3*w - 36 = f, 4*f - 43 + 11 = -4*w. Solve -w*q - 10 = 1 for q. -1 Let o be 14/63 + (-1440)/(-81). Suppose 0 = o*d - 10*d - 24. Solve 58 = -d*p + 49 for p. -3 Let i(f) = -f**3 - 2*f**2 + 4*f + 5. Let m be i(-3). Let d be (-2 + -1 - -3)/(-2). Let y be ((-2)/4 + d)*(2 - m). Solve -8 = -y*l + 4*l for l. -2 Let m be (324/72*-2)/(-1*1). Solve -48*g = m + 327 for g. -7 Suppose 92*h + 1 = 4 - 3. Solve -6*b - 110 + 68 = h for b. -7 Suppose 5*s - 8*s + 27 = 0. Suppose -5*y = -2*y + s. Let q be -3 + 7/((-7)/y). Solve 0*v + v = q for v. 0 Let o(w) = 3*w**2 - 13*w + 18. Let u be o(2). Suppose 0 = u*s - 0*s - 2*q - 172, 4*s - q = 174. Solve 1 = 9*t - s for t. 5 Let z(q) = -q**3 + 6*q**2 - 7*q + 1. Let w be z(4). Let g be (9/(-15))/((-6)/20). Solve w = -3*s - g*s for s. -1 Let w be 24 - (189/(-84))/((-1)/(-8)*-3). Solve -58*t + w = -61*t for t. -6 Let j = -437 + 327. Let b = j + 117. Solve a + 5 - b = 0 for a. 2 Let s = -13879 - -14356. Solve -70*m - s + 57 = 0 for m. -6 Suppose 4*g - 41 + 9 = 0. Suppose -k - b - 2 = -g, 5*k + 15 = 4*b. Let w = -1619 - -1624. Solve 0 = w*l - k + 6 for l. -1 Let u(f) = 4*f - 2. Let m(g) = -g**2 - 16*g - 29. Let h be m(-12). Suppose 18 = -d + h. Let i be u(d). Solve 0*c - i = -c for c. 2 Suppose -349*l + 288 = -331*l. Solve -6*h + 2*h = -l for h. 4 Let p(o) = -o**2 + 3*o - 2. Let m be p(3). Let d be ((-8)/m - (8 + -5))*25. Solve -k = -6*k + d for k. 5 Let t be 0 + 5 + -6 - 8. Let s(p) = 6*p + 14. Let x(w) = w + 1. Let b(j) = -s(j) + 5*x(j). Let l be b(t). Solve l = 2*f - 6 + 16 for f. -5 Let c = -124 - -121. Let a(b) be the first derivative of -b**3/3 - 5*b**2/2 - 4*b + 1. Let h be a(c). Solve -3*u - h*u = 0 for u. 0 Let r be (20/(3 - 1))/((-111)/(-333)). Solve r*f - 32 = 38*f for f. -4 Let m be (4 + -5)/(1/2). Let a be (72/16)/(m/(-4)). Let l(o) = -o**2 + 11*o - 15. Let k be l(a). Solve 4*c - k = 5 for c. 2 Suppose -163*k - 24 = -157*k. Let p be (k/(-14))/((-16)/(-224)). Solve -5*a - p - 1 = 0 for a. -1 Let t be 38/(-665) - (-74)/70. Suppose 2*f - 15 = f. Suppose 0 = -z + 6*z - f. Solve -h - t = z for h. -4 Suppose -16 = 5*b + 2*p - 22, 8*b = -4*p + 8. Solve -b*k = -48*k for k. 0 Let g = 284 + -213. Suppose -g = -v - 2*v + x, v = -4*x + 2. Solve 20*h + 6 = v*h for h. 3 Let b = 997 - 990. Solve -q = b*q - 2*q for q. 0 Let p be (-42)/(-9)*(1 - 50/14). Let z be 2/((-16)/p) - (-3)/6. Suppose 2 = z*o, -3*c + 0*o = 2*o - 14. Solve 0 - 8 = -c*y for y. 2 Let w = 6 + -4. Suppose -f + 2 = w. Suppose 2 = -5*z - f*z - 3*y, 2*z + 4*y = -12. Solve -m + z = m for m. 1 Suppose -30*l + 847 + 203 = 0. Solve -46*h - 55 = -l*h for h. -5 Let p(c) = c**2 - 801*c + 5558. Let d be p(7). Solve 95*y - 61*y - 136 = d for y. 4 Let m(j) = 2*j - 5. Let g be m(0). Let c(n) be the first derivative of -5*n**2/2 - 21*n - 9. Let x be c(g). Solve -x*p = -0*p - 16 for p. 4 Suppose 3*l - 1 = 5. Let j(o) = -o**3 + 26*o**2 + 505*o - 21. Let u be j(-13). Solve -27 = u*n - l for n. -5 Suppose 472 + 986 = 16*i - 302. Solve -58*t + i = -36*t for t. 5 Let k(r) = -7*r - 156 + 165 + 3*r**2 + 2*r**2 + r**3. Let m be k(-6). Solve -m = -2*z - z for z. 5 Let b be 1722/8 - (-108)/144. Let f = -216 + b. Solve f = 27*l - 28*l + 4 for l. 4 Let x(d) = 85 + 10*d - 7*d - 10*d. Let h be x(11). Solve -h*j - 20 = -3*j for j. -4 Let o(s) = 16*s + 195. Let i be o(-11). Solve 4*q + i - 39 = 0 for q. 5 Let v(m) = m - 3 + 1 - 283*m**3 + 0 + 566*m**3 - 282*m**3 - 4*m**2. Suppose 3 = a - 1. Let l be v(a). Solve 5 - l = 3*h for h. 1 Let g be ((-3)/(-4))/(3 + (-70)/24). Suppose -g*z - 498 = 159. Let b = 76 + z. Solve -w - b = -1 for w. -2 Suppose -5*f + 10 = 0, -10*y - 2*f - 32 = -13*y. Solve -y*d = -22 - 2 for d. 2 Let a = 194 + -194. Suppose 2*y - d - 22 = 0, 4*d = -4*y + 44 - 0. Suppose 8*l = y*l - 48. Solve -4*s + 0 - l = a for s. -4 Let m(x) = x + 5. Let r(s) = -s - 5. Let u(v) = 3*m(v) + 4*r(v). Suppose 4*o - 5*d = -7, -5*o = -2*o + 4*d + 44. Let h be u(o). Solve h*n = 2*n + 5 for n. 5 Suppose -12 = 2*l - 4. Let f be -2*(l + (-10)/(-4)). Let m be ((-18)/(-2 + -1))/2. Solve -f*n = m - 0 for n. -1 Suppose -614 + 2022 = -557*t + 601*t. Solve 236*i - t = 228*i for i. 4 Let r be (32/28 - 2)*21 - 6. Let v(i) = -i**3 - 28*i**2 - 96*i + 16. Let n be v(r). Solve -17*a = -n*a - 2 for a. 2 Let d(w) = 3*w + 102. Let i be d(-11). Suppose -i*b + 73*b = 80. Solve 0 = b*l - 17*l + 9 for l. -3 Suppose 0 = -63*j + 38*j + 100. Solve -12*w - j = -10*w for w. -2 Let y(h) be the first
{ "pile_set_name": "DM Mathematics" }
1, w: 3, r: 10}. 1/60 Two letters picked without replacement from {n: 3, f: 6, l: 1, i: 9}. What is prob of picking 2 n? 1/57 Two letters picked without replacement from {x: 1, t: 2}. Give prob of picking 1 x and 1 t. 2/3 Four letters picked without replacement from ellelefelelfl. Give prob of picking 1 e and 3 l. 20/143 Four letters picked without replacement from {p: 3, t: 4, m: 3, n: 1}. Give prob of picking 1 m, 1 n, and 2 p. 3/110 Four letters picked without replacement from mmmememmmmemmm. What is prob of picking 2 m and 2 e? 15/91 Calculate prob of picking 2 b when two letters picked without replacement from {x: 13, b: 3}. 1/40 Three letters picked without replacement from oooookooooooo. Give prob of picking 1 k and 2 o. 3/13 Three letters picked without replacement from {t: 2, d: 6}. Give prob of picking 1 d and 2 t. 3/28 What is prob of picking 1 i, 1 e, and 1 b when three letters picked without replacement from {i: 2, b: 2, e: 2, c: 2, j: 3, u: 1}? 2/55 Calculate prob of picking 3 f when three letters picked without replacement from {f: 4, z: 2}. 1/5 Two letters picked without replacement from {v: 1, j: 1, m: 13}. Give prob of picking 1 m and 1 j. 13/105 Two letters picked without replacement from {r: 1, b: 1, t: 2, q: 2}. Give prob of picking 1 r and 1 t. 2/15 What is prob of picking 1 b and 1 z when two letters picked without replacement from zrzzbzzzzrzzzrz? 11/105 Four letters picked without replacement from frrfrrrrffff. Give prob of picking 3 f and 1 r. 8/33 Two letters picked without replacement from zrrodgrcoogoo. Give prob of picking 1 r and 1 d. 1/26 Two letters picked without replacement from {b: 1, j: 2, n: 2, g: 3, r: 3, f: 1}. Give prob of picking 1 j and 1 n. 2/33 Two letters picked without replacement from ppppppppppprrr. What is prob of picking 2 p? 55/91 Three letters picked without replacement from {e: 5, h: 3}. Give prob of picking 3 e. 5/28 Calculate prob of picking 2 h when two letters picked without replacement from hcchhccchhlccchcccc. 5/57 What is prob of picking 1 f, 2 w, and 1 x when four letters picked without replacement from xxkkwffw? 2/35 What is prob of picking 1 v, 1 n, 1 j, and 1 h when four letters picked without replacement from {n: 1, j: 4, h: 1, v: 5}? 2/33 Calculate prob of picking 1 s and 2 d when three letters picked without replacement from {s: 1, d: 4, r: 5}. 1/20 Calculate prob of picking 1 v and 1 f when two letters picked without replacement from {m: 1, f: 1, w: 1, d: 2, v: 1, u: 1}. 1/21 Three letters picked without replacement from {y: 1, p: 2, a: 7, r: 2, u: 8}. What is prob of picking 2 r and 1 y? 1/1140 What is prob of picking 1 k, 1 h, and 1 e when three letters picked without replacement from hhhkpzikhiek? 3/55 Two letters picked without replacement from kkhhhkhrkhllkllkh. What is prob of picking 1 l and 1 r? 1/34 Two letters picked without replacement from mgmqm. Give prob of picking 2 m. 3/10 What is prob of picking 1 d, 1 n, 1 c, and 1 h when four letters picked without replacement from {d: 2, h: 2, n: 4, c: 1, o: 3}? 16/495 What is prob of picking 2 q and 1 d when three letters picked without replacement from fqddqqqqhqfqq? 28/143 What is prob of picking 1 z and 1 b when two letters picked without replacement from wyzzbzyzzwvyvzy? 2/35 Two letters picked without replacement from uuyhxhuyhhxzhzx. What is prob of picking 1 y and 1 x? 2/35 Two letters picked without replacement from {j: 3, s: 5}. Give prob of picking 2 s. 5/14 Four letters picked without replacement from {n: 5, e: 5}. What is prob of picking 3 n and 1 e? 5/21 Two letters picked without replacement from {f: 1, u: 1, j: 1, b: 2, y: 2}. Give prob of picking 1 b and 1 j. 2/21 Calculate prob of picking 1 f and 1 e when two letters picked without replacement from ppeeffeeeee. 14/55 Three letters picked without replacement from vvqqqv. Give prob of picking 3 q. 1/20 Three letters picked without replacement from ndonoonnofndnnnn. What is prob of picking 3 n? 3/20 Three letters picked without replacement from ttjtjgjajogjtet. What is prob of picking 1 o, 1 g, and 1 j? 2/91 Four letters picked without replacement from {r: 3, v: 3}. What is prob of picking 1 v and 3 r? 1/5 Three letters picked without replacement from {g: 7, d: 5, m: 4, q: 3}. What is prob of picking 1 g and 2 m? 14/323 Four letters picked without replacement from {g: 4, f: 3, x: 2}. Give prob of picking 1 x and 3 f. 1/63 Three letters picked without replacement from fufnuffffna. What is prob of picking 2 f and 1 a? 1/11 What is prob of picking 1 v and 2 c when three letters picked without replacement from ceccccvcc? 1/4 Two letters picked without replacement from rppnppnpprprrnpn. What is prob of picking 1 p and 1 n? 4/15 Two letters picked without replacement from {g: 4, y: 8, x: 4}. What is prob of picking 1 x and 1 g? 2/15 Two letters picked without replacement from {k: 1, y: 1, x: 1, t: 3, c: 5, w: 4}. What is prob of picking 2 t? 1/35 What is prob of picking 2 v and 1 m when three letters picked without replacement from {v: 15, m: 3}? 105/272 Calculate prob of picking 1 g, 1 w, 1 s, and 1 v when four letters picked without replacement from gswavgi. 2/35 Four letters picked without replacement from {l: 2, o: 4, p: 4, x: 2, t: 5}. What is prob of picking 1 x, 1 p, and 2 t? 4/119 Calculate prob of picking 2 v and 1 p when three letters picked without replacement from tapppvtvtvttvtvptt. 5/102 What is prob of picking 1 z and 2 m when three letters picked without replacement from zmmmzzm? 18/35 Three letters picked without replacement from {d: 1, w: 1, x: 3}. What is prob of picking 1 d and 2 w? 0 Three letters picked without replacement from {r: 1, w: 4, o: 1, m: 2}. What is prob of picking 1 m, 1 o, and 1 r? 1/28 What is prob of picking 2 a and 2 w when four letters picked without replacement from wawwawwwaww? 14/55 Two letters picked without replacement from ymlltfjjylftlmttfy. What is prob of picking 1 m and 1 t? 8/153 Calculate prob of picking 1 t and 1 p when two letters picked without replacement from pgttpvdtvtdvptvtvv. 2/17 Calculate prob of picking 3 e when three letters picked without replacement from eeeejjej. 5/28 Calculate prob of picking 3 j when three letters picked without replacement from {j: 12, v: 6}. 55/204 Two letters picked without replacement from dwkwdwxdwwwdxwwvwxw. What is prob of picking 1 x and 1 k? 1/57 Two letters picked without replacement from {k: 5}. Give prob of picking 2 k. 1 Calculate prob of picking 1 l, 1 i, and 1 r when three letters picked without replacement from rilrirrlr. 5/21 Four letters picked without replacement from ccfcvfdffvfdcfdcv. What is prob of picking 1 f, 1 v, and 2 c? 9/119 Calculate prob of picking 2 x and 1 g when three letters picked without replacement from {h: 2, z: 8, g: 2, u: 2, x: 2, e: 1}. 1/340 Two letters picked without replacement from usssssssussssus. What is prob of picking 2 s? 22/35 Two letters picked without replacement from yyjpfjg. Give prob of picking 2 j. 1/21 Two letters picked without replacement from zzzzzzzzzzzzzxzzzzz. What is prob of picking 2 z? 17/19 Calculate prob of picking 1 l and 1 p when two letters picked without replacement from {l: 3, z: 5, p: 3}. 9/55 Four letters picked without replacement from {c: 2, r: 6, n: 5}. Give prob of picking 2 n and 2 r. 30/143 Four letters picked without replacement from {d: 9, x: 2}. What is prob of picking 2 x and 2 d? 6/55 Two letters picked without replacement from oeooopxtoppooteox. Give prob of picking 1 x and 1 t. 1/34 Two letters picked without replacement from zzzzzzzzzxzzzzzzzzzz. What is prob of picking 1 x and 1 z? 1/10 Calculate prob of picking 1 g and 2 i when three letters picked without replacement from fgffiiififffififiig. 56/969 Calculate prob of picking 2 l and 1 s when three letters picked without replacement from sbbsbsbbbbvsbbll. 1/140 Four letters picked without replacement from kwzkkzezzwe. What is prob of picking 1 w, 2 e, and 1 z? 4/165 Two letters picked without replacement from oodol. Give prob of picking 2 o. 3/10 Calculate prob of picking 1 i and 1 c when two letters picked without replacement from ciicciccciccci. 45/91 Four letters picked without replacement from lttltt. What is prob of picking 2 l
{ "pile_set_name": "DM Mathematics" }
1200590*p**2 - 180176443216*p + 180177643808. -2*(p - 1)*(p + 300148)**2 Determine a, given that a**2 + 12497*a + 49972 = 0. -12493, -4 Determine w so that -5976*w**2 + 71764*w - 624 = 0. 13/1494, 12 Factor b**5/2 + 385*b**4 + 149753*b**3/2 + 293378*b**2. b**2*(b + 4)*(b + 383)**2/2 Let 3*t**4 - 45*t**3 - 576*t**2 - 1668*t - 1440 = 0. What is t? -5, -2, 24 Factor -2*z**2/9 - 5458*z/9. -2*z*(z + 2729)/9 Factor 2*b**2 - 3614*b + 155144. 2*(b - 1763)*(b - 44) Factor -x**4/2 + 5*x**3/2 + 46*x**2 + 78*x. -x*(x - 13)*(x + 2)*(x + 6)/2 Find v, given that v**3/4 + 163*v**2/2 + 1962*v + 3600 = 0. -300, -24, -2 Determine s so that -2*s**2 + 384*s - 13432 = 0. 46, 146 Factor 2*b**2/9 - 3494*b/9 - 3496/9. 2*(b - 1748)*(b + 1)/9 Factor y**5/5 + 743*y**4/5 - 13578*y**3/5 + 18194*y**2 - 53195*y + 57075. (y - 5)**3*(y - 3)*(y + 761)/5 Factor -4*n**3 + 54028*n**2 - 182466060*n + 182412036. -4*(n - 6753)**2*(n - 1) Factor -3*a**3 - 185436*a**2 + 370881*a - 185442. -3*(a - 1)**2*(a + 61814) Determine k so that -k**2/3 - 2820*k - 5964300 = 0. -4230 Find p, given that 3*p**5 - 159*p**4 - 17214*p**3 + 1011456*p**2 - 2875392*p = 0. -78, 0, 3, 64 Determine a so that -2*a**5/9 + 20*a**4/9 - 56*a**3/9 - 16*a**2/9 + 256*a/9 - 256/9 = 0. -2, 2, 4 Find m, given that -6*m**5 + 512*m**4 - 14422*m**3 + 148052*m**2 - 456552*m - 374544 = 0. -2/3, 9, 34 Let -5*u**5 - 125*u**4 - 685*u**3 + 845*u**2 + 4290*u - 4320 = 0. Calculate u. -16, -9, -3, 1, 2 Find o such that -o**4 + 902*o**3/3 - 4961*o**2/3 - 15914*o/3 - 4720/3 = 0. -2, -1/3, 8, 295 Suppose -5*m**5 - 675*m**4 - 4520*m**3 - 5040*m**2 + 10240*m = 0. Calculate m. -128, -4, 0, 1 Factor -8*a**3 + 50123*a**2 + 8*a - 50123. -(a - 1)*(a + 1)*(8*a - 50123) Let -k**5/5 + 9*k**4/5 + 41*k**3/5 - 57*k**2/5 - 8*k + 48/5 = 0. What is k? -4, -1, 1, 12 Factor -8*k**3 - 3460*k**2 + 15716*k - 6992. -4*(k - 4)*(k + 437)*(2*k - 1) Factor 3*w**2 + 173208*w + 2500084272. 3*(w + 28868)**2 What is u in 5*u**2 - 4010*u + 8000 = 0? 2, 800 Let -2*x**5/13 + 134*x**4 + 128906*x**3/13 + 2653354*x**2/13 + 12628608*x/13 + 17344512/13 = 0. Calculate x. -32, -3, 941 Let m**2/4 - 276971*m/4 + 276967 = 0. Calculate m. 4, 276967 Factor -5*o**2/2 - 85475*o/2 - 469810. -5*(o + 11)*(o + 17084)/2 Find l, given that -2*l**2/5 - 4584*l/5 + 2754 = 0. -2295, 3 Factor 1245*k**2/7 - 888*k - 45/7. 3*(k - 5)*(415*k + 3)/7 Solve -5*z**2 - 75735*z - 151450 = 0 for z. -15145, -2 Find y such that -10*y**4/3 - 2348*y**3/9 - 46246*y**2/9 - 3848*y/3 + 1352 = 0. -39, -2/3, 2/5 Factor -12*c**2 - 16904*c - 442240. -4*(c + 1382)*(3*c + 80) What is o in o**2 + 6608*o + 10916416 = 0? -3304 Solve 3*w**2/5 + 3702*w/5 + 7392/5 = 0 for w. -1232, -2 Factor 4*g**2 + 38344*g - 153440. 4*(g - 4)*(g + 9590) Suppose -5*a**5 - 125*a**4 - 400*a**3 + 500*a**2 + 1680*a = 0. Calculate a. -21, -4, -2, 0, 2 Suppose 4489*i**4/4 + 282539*i**3/4 + 1109052*i**2 - 66401*i + 992 = 0. What is i? -32, -31, 2/67 Suppose -2*r**5 + 2294*r**4 - 683478*r**3 + 14625530*r**2 - 27209792*r + 13265448 = 0. Calculate r. 1, 21, 562 Factor 2*y**2/5 + 1963128*y/5 + 481733943048/5. 2*(y + 490782)**2/5 Find n, given that 2*n**2 - 71774*n = 0. 0, 35887 Find g such that -g**4/3 - 515*g**3 - 36425*g**2/3 + 40035*g - 27378 = 0. -1521, -27, 1, 2 Factor -267*w**3 - 144*w**2 + 1089*w - 678. -3*(w - 1)**2*(89*w + 226) Factor -u**3/6 + 5125*u**2/6 - 27253*u/2 + 25545/2. -(u - 5109)*(u - 15)*(u - 1)/6 Solve -3*h**2 + 26490*h - 79443 = 0. 3, 8827 Factor -3*i**2 + 594*i - 1176. -3*(i - 196)*(i - 2) Factor 164*a**3 - 8*a**2 - 27716*a + 1352. 4*(a - 13)*(a + 13)*(41*a - 2) Solve 3*w**4/4 - 171*w**3 + 5253*w**2/4 + 36135*w = 0. -11, 0, 20, 219 Factor -b**4 - 464*b**3 + 1401*b**2. -b**2*(b - 3)*(b + 467) Factor w**4 + 15*w**3 + 13*w**2 - 15*w - 14. (w - 1)*(w + 1)**2*(w + 14) Determine u so that 5*u**2 - 571310*u + 571305 = 0. 1, 114261 Solve -2*v**2 - 437924*v = 0. -218962, 0 Suppose -d**2/7 + 592727*d/7 = 0. Calculate d. 0, 592727 What is k in 2*k**3/15 + 718*k**2/5 - 2602*k/3 - 5054/5 = 0? -1083, -1, 7 Solve 4*x**4/3 + 1996*x**3/3 + 97356*x**2 + 1473516*x - 408565800 = 0. -183, 50 Suppose -17*h**5/4 + 173*h**4/2 - 1497*h**3/4 + 504*h**2 - 135*h = 0. What is h? 0, 6/17, 2, 3, 15 Suppose -35*m**4 + 460*m**3/3 - 55*m**2/3 - 460*m/3 + 160/3 = 0. Calculate m. -1, 8/21, 1, 4 Factor -s**5 - 266*s**4 + 1893*s**3 - 4894*s**2 + 5452*s - 2184. -(s - 2)**3*(s - 1)*(s + 273) Suppose 2*s**2/13 + 20*s/13 - 5568/13 = 0. What is s? -58, 48 What is u in u**2/7 - 79299*u/7 - 237906/7 = 0? -3, 79302 Find i, given that 2*i**3/17 + 6522*i**2/17 - 1536*i + 26120/17 = 0. -3265, 2 Factor -3*s**3 - 76*s**2/3 - 167*s/3 - 20. -(s + 3)*(s + 5)*(9*s + 4)/3 Factor -2*c**4 - 34*c**3 - 120*c**2 + 512*c + 2560. -2*(c - 4)*(c + 5)*(c + 8)**2 Determine l so that -2*l**2/11 + 7288*l/11 + 73080/11 = 0. -10, 3654 Determine x, given that -5*x**2 + 459825*x = 0. 0, 91965 Factor n**3/2 + 821*n**2/2 - 2*n - 1642. (n - 2)*(n + 2)*(n + 821)/2 Suppose 2*t**3/19 - 65596*t**2/19 + 537854402*t/19 = 0. Calculate t. 0, 16399 Let 2*b**3/5 - 6748*b**2/5 + 10774*b - 47124/5 = 0. What is b? 1, 7, 3366 Determine m, given that m**2/2 - 1816*m = 0. 0, 3632 Determine c, given that -4*c**3 + 256*c**2 + 18836*c + 18576 = 0. -43, -1, 108 Suppose o**3 + 19*o**2 - 924*o + 1764 = 0. Calculate o. -42, 2, 21 Factor w**3 - 1006*w**2 + 114304*w + 77629440. (w - 608)**2*(w + 210) Factor 40*c**3 + 142465*c**2 - 195950*c + 53445. 5*(c - 1)*(c + 3563)*(8*c - 3) Determine m so that -m**3/3 - 1231*m**2/3 - 19504*m/3 - 25920 = 0. -1215, -8 Determine w, given that 3*w**2/5 - 2718*w/5 + 18879/5 = 0. 7, 899 Let -2*d**4/5 - 222*d**3/5 + 1128*d**2/5 + 50168*d/5 - 51072/5 = 0. Calculate d. -114, -14, 1, 16 Determine v, given that -3*v**2 + 14079*v + 28170 = 0. -2, 4695 Determine l so that 2*l**4/11 + 80*l**3 + 92300*l**2/11 - 90000*l + 2531250/11 = 0. -225, 5 Suppose -5*f**4 - 2050*f**3 - 20035*f**2 - 13910*f + 36000 = 0. Calculate f. -400, -9, -2, 1 Suppose -4*f**3 - 128*f**2 - 464*f - 448 = 0. Calculate f. -28, -2 Solve -4*g**5 - 310*g**4 - 4240*g**3 + 7550*g**2 + 6764*g - 4720 = 0. -59, -20, -1, 1/2, 2 What is u in -u**2/6 - 61991*u/6 + 10332 = 0? -61992, 1 Suppose c**2/4 - 303*c/4 - 702 = 0. Calculate c. -9, 312 Factor 3*o**3/4 + 7167*o**2/4 + 4497321*o/4 + 255635541/4. 3*(o + 63)*(o + 1163)**2/4 Suppose 3*b**5 + 411*b**4 + 14898*b**3 + 45540*b**2 - 653400*b = 0. Calculate b. -66, -10, 0, 5 Solve -4*k**5 - 283*k**4 - 2905*k**3 - 7880*k**2 - 5396*k + 1888 = 0 for k. -59, -8, -2, 1/4 Find l such that 131*l**5 + 2352*l**4 - 108*l**3 = 0. -18, 0, 6/131 Let -3*b**2 - 1936146*b - 312388444443 = 0. Calculate b. -322691 Solve -216*s**3 - 11211*s**2/2 - 36231*s + 3549/2 = 0 for s. -13, 7/144 Suppose 3*x**2 - 147492*x/7 + 63207/7 = 0. Calculate x. 3/7, 7023 Factor -j**3/3 + 16138*j**2/3 - 32269*j/3 - 16136. -(j - 16136)*(j - 3)*(j + 1)/3 Factor 42875*s**4/9 - 7009450*s**3/9 - 401380*s**2 - 68856*s - 3936. (s - 164)*(35*s + 6)**3/9 Factor 5*o**4/6 + 267200*o**3/3 + 2379772265*o**2 - 14279435200*o/3 + 14279702405/6. 5*(o - 1)**2*(o + 53441)**2/6 Determine r so that 3*r**2 + 2379*r - 4770 = 0. -795, 2 Determine o, given that o**4 + 540*o**3 + 96334*o**2 + 5720652*o + 5624857 = 0. -217, -161, -1 Determine v so that v**2/3 - 142*v/3 + 4717/3 = 0. 53, 89 Solve 9*d**3 - 2121*d**2 - 11553*d - 3615 = 0. -5, -1/3, 241 Factor 2*w**2/7 - 5806*w/7 + 15656. 2*(w - 2884)*(w - 19)/7 Solve -4*c**2/3 - 282016*c/3 - 4970814016/3 = 0 for c. -35252 What is a in 3*a**4 + 555*a**3 + 25371*a**2 - 29295*a - 155682 = 0? -93, -2, 3 Factor 2*a**5/13 - 342*a**4 + 4444*a**3/13. 2*a**3*(a - 2222)*(a - 1)/13 Factor -q**3 + 241*q - 240. -(q - 15)*(q - 1)*(q + 16) Determine n so that -3*n**3/8 + 2625*n**2/2 = 0. 0, 3500 Factor -2*u**4/3 - 778*u**3 - 1554*u**2 - 2330*u/3. -2*u*(u + 1)**2*(u + 1165)/3 Find q, given that 439*q**5/7 + 5708*q**4/7 + 1946*q**3 - 19724*q**2/7 - 45*q/7 = 0. -9, -5, -1/439, 0, 1 What is d in d**4/4 - 75*d**3 - 3081*d**2/4 - 1480*d + 2325 = 0? -6, -5, 1, 310 Factor -3*w**2 + 5586*w - 11160. -3*(w - 1860)*(w - 2) Let 5*z**3 - 7155*z**2 - 14325*z - 7165 = 0. Calculate z. -1, 1433 Find a such that -5*a**2 - 11820*a - 499015 = 0. -2321, -43 Let -4*j**5 - 3996*j**4 - 963488*j**3 + 17223488*j**2 - 82320384*j + 66064384 = 0. What is
{ "pile_set_name": "DM Mathematics" }
Let t be 0/(g + -4 + -3). Solve -s - 4*s = t for s. 0 Let w = -12 + 17. Suppose -3*v = -1 - w. Let u(d) = d**2 - 2*d + 3. Let p be u(2). Solve p*m = -10 - v for m. -4 Let z(f) = f**3 - 3*f**2 + f + 2. Let h be z(3). Suppose 2*s + 14 = -h*j, 2*s - 3*s + 4*j = -19. Suppose 4*a + a = 0. Solve a*q = s*q for q. 0 Suppose -4*t + 11*t - 56 = 0. Solve d - t = -9 for d. -1 Suppose 0 = 5*u - 5*m, -4*u + 6*m = 4*m - 2. Solve 8*g - u + 17 = 0 for g. -2 Suppose 0 = v + 4*b - 15, -2*v - 9 = b - 6*b. Suppose f + 13 = 2*j + v*j, 3*j - 13 = -2*f. Let k = 5 + 0. Solve 3*a = -f*a - k for a. -1 Suppose -60 = -10*n - 5*n. Let r(y) = 3*y - 4. Let f be r(5). Solve n*q = f - 3 for q. 2 Suppose -2*d + 2*a - 6 = 0, 2*a = -3*d + d + 10. Let p(m) = m**3 - 7*m**2 + 5. Let b be (-200)/(-30) - (-2)/6. Let i be p(b). Solve d - 11 = i*x for x. -2 Suppose 0 = v - 13 - 21. Suppose 5*c - v = 91. Solve 4*n + 5 = c for n. 5 Suppose -4*y = 5*h - 40, 4*y = 3*h + 6*y - 24. Solve -h = -4*s + 8 for s. 4 Let n = -79 + 94. Solve 4 = n*b - 16*b for b. -4 Let v be 7/(28/(-12)) - 1. Let l be v + -1 + 4 - -2. Solve -5*z + l = 6 for z. -1 Let b = -4 + -1. Suppose 5 = 3*n + 3*x - 19, 4*x - 5 = -n. Let d = b + n. Solve 0*z = -4*z - d for z. -1 Suppose -2*k + 2*z + 2 = -16, 3*k - 2*z - 22 = 0. Suppose -2*d = 26*d. Solve 2*c - k + d = 0 for c. 2 Let z be ((-150)/(-35))/(9/42). Solve 21*g - z = 16*g for g. 4 Let p be (-18)/(-1)*(0 + 6 + -5). Suppose 18 = -4*b + p. Solve 2*w + b*w = -10 for w. -5 Let i = -840 + 840. Solve 0 = -3*y - i*y + 9 for y. 3 Let l(y) = -y**2 + 19*y + 5. Let h be l(19). Suppose -9*s = -8*s - h. Suppose 12 = t + 3*t. Solve s*u - 8 = -t for u. 1 Let u(n) = -n**2 + 2*n + 3. Let b = -30 - -30. Let t be u(b). Solve -t*m = -8*m for m. 0 Let y(w) = -w**3 + 4*w**2 + 5*w. Let l = -13 + 17. Let t be y(l). Suppose 5*g - 55 - t = 0. Solve -3 + g = -3*i for i. -4 Let a(n) = 4*n - 6*n + 2*n + 3*n + 11*n**2 - 3 + n**3. Let t be a(-11). Let b be 6/(-27) + (-116)/t. Solve -b*j = j + 20 for j. -5 Let y(x) = x**2 - 11*x + 4. Let z = -23 - -28. Suppose 3*i = -12, -2*n - 3*n = z*i - 35. Let t be y(n). Solve -5*v = 1 + t for v. -1 Suppose -4*n = -4, -7*n + 3*n = z - 6. Let l(i) = -i + 6. Let w be l(z). Solve 3*a = w*a for a. 0 Suppose 3*c - 2*o = 11, 0 = 5*c - 2*o - 0*o - 21. Solve -7 = 2*s + c*s for s. -1 Suppose -2*o = 2*h - 18, 24 = -3*o + 5*h + 11. Solve 7*p - o*p = 0 for p. 0 Let u = 4 + -2. Suppose t - u = m, -m + 1 = 2*t - 3. Let g = 31 + -27. Solve 6 = -g*f + t for f. -1 Suppose -8*l - 4 = -60. Suppose 85 = 10*h + l*h. Solve -2*z = -h*z for z. 0 Let m = -18 - -21. Suppose -4*f + 4*b = m - 19, 5*f = -2*b - 15. Let v be (-1 + (-2 - -3))/f. Solve 2*h = -2 - v for h. -1 Suppose -34*i + 71 = -99. Solve -p + i*p - 4 = 0 for p. 1 Let i(y) = y**2 + 2*y - 12. Let g be (2 - (-15)/(-6))*0. Suppose 5*r + 40 = 5*p, g = -0*r + r + 2*p - 1. Let b be i(r). Solve b*f + 0 = 3 for f. 1 Let z be -4*(-12 + 451/44). Solve -z = 6*j + 5 for j. -2 Let s(v) = -2*v**2 + 9*v + 4. Let i(w) = -w**2 + 8*w + 5. Let d(x) = 3*i(x) - 2*s(x). Let u be d(-5). Solve -z - u = -6 for z. 4 Suppose 2*b + 10 = 5*c + 1, c + 2*b - 9 = 0. Suppose t + 2 - c = -z, 0 = -3*t - z + 1. Let q be 8 - t - 6/(-3). Solve q = 5*o - 10 for o. 4 Let u be (-8)/12 - (-22)/6. Suppose r + 1 - u = 0. Solve 3 = -5*b - r for b. -1 Let b(n) = -n**2. Let h(u) = u**2 - 10*u - 6. Let y be h(11). Let j(z) = 4*z**2 + 14*z - 18. Let g(o) = y*b(o) + j(o). Let t be g(12). Solve t = c + 2*c for c. 2 Let z(v) = 6*v + 47. Let o be z(-7). Suppose 2*i - 12 = -o*m - i, -3*m + 4 = 5*i. Solve m*r - 7*r = 16 for r. -4 Suppose 0 = -2*p + 5*b + 13, 3*p - 13 = -0*b + b. Solve 0 = p*u + 73 - 81 for u. 2 Let i(d) = d**3 + 18*d**2 + d + 1. Let s be i(-18). Let c = s + 20. Solve -c*y = 1 + 5 for y. -2 Let h(v) = 55*v + 349. Let i be h(-5). Solve -3*b = 86 - i for b. -4 Let y(q) = q**3 + 18*q**2 + q + 26. Let t be y(-18). Solve -10*w + t*w - 2 = 0 for w. -1 Let t(k) = -k**2 - 11*k + 5. Let x = 17 - 14. Suppose 9 = -x*b + i - 25, -i = b + 10. Let g be t(b). Solve -g = 2*f + 1 for f. -3 Suppose -18*n - 306 = -954. Solve -n*l - 1 = -37*l for l. 1 Suppose 524 = -36*p + 2756. Solve -18 = 16*v + p for v. -5 Suppose 5*q = q. Let p = 8 - 37. Let f = p - -31. Solve 2*l + 0 + f = q for l. -1 Let z = 1008 - 984. Solve 33*x - z*x = 36 for x. 4 Suppose 4*h + 5*s = 35, 22*s - 25*s - 11 = -4*h. Solve 0 = 5*o - h - 10 for o. 3 Suppose 3*q - 14 = -2*p, 4*q = 2*p - 7*p + 42. Solve 2*n + 0*n = -p for n. -5 Suppose -10 + 16 = 3*t. Let h be (8 + -6)/(t/3). Solve q - 4 = h*q for q. -2 Let z = -41 + 51. Let w be (44/6)/(z/15). Solve -w*v + 6*v = 0 for v. 0 Let r(x) be the second derivative of -x**3/6 - 2*x**2 + 5*x. Let j be r(-4). Suppose j = -0*n - 5*n + 80. Solve 5*g + n = -9 for g. -5 Suppose -43*j - 10 = -45*j. Solve 0 = -i - j for i. -5 Suppose -4*p - 20 = 2*k, -2*p + 14 = -6*p - 5*k. Let y = p + 16. Let h be y/30 - 2/6. Solve 4*n - 7*n = h for n. 0 Suppose -40 = 10*n - 14*n. Solve 2*z - n = 4*z for z. -5 Suppose -18*m - 45 = -21*m. Suppose -14*g = -m*g + 5. Solve j + g = 1 for j. -4 Let i be 2 - -1*(-3)/(-2 - -1). Suppose 4 + 9 = i*f - 2*r, 13 = 4*f + r. Solve -2*m + f = 1 for m. 1 Suppose 11 = 4*u - 3*p, 2*p - 16 = -2*u - 0*p. Suppose -5*k + 5*q - 3 = -18, -5*k + 2*q = -24. Let h = k + u. Solve 2 = -3*f + h for f. 3 Suppose -6*m - 57 = -351. Let t = m - 44. Solve t*o = -5 - 5 for o. -2 Let i be 18/42 - (-125)/35. Solve -32 + 12 = i*s for s. -5 Let x(a) = -a + 9. Let k be x(6). Suppose i = -k*i + 8. Suppose i*r = 4*r. Solve 3*z + 2*z - 25 = r for z. 5 Let f(v) = -14*v - 39. Let g be f(-3). Solve -g*c = -4*c for c. 0 Let n be (8 - 2)/((-2)/(-1)). Suppose 2 = 9*m - 8*m, 0 = -5*i + 3*m + 4. Suppose 2*s - i = s. Solve -s*h = h + n for h. -1 Suppose 2*o - 15 = -3*o. Suppose 4*w - 17 = i, 6*w = -o*i + 2*w - 3. Let r = i + 10. Solve v + 16 = r*v for v. 4 Let k be (84/63)/((-2)/(-3)). Solve -3*q = -4 - k for q. 2 Let q be 3/((-9)/(-12))*(15 + -13). Solve 2 = -10*x + q*x for x. -1 Let i = 139 + -133. Solve -i*p = -5*p + 2 for p. -2 Let d(f) = -f**2 + 6*f - 6. Let x be d(4). Let j(n) = -n - 10. Let r be j(-22). Suppose -x = -2*h - k + 1, -4*k + r = -h. Solve 3*u + u + 12 = h for u. -3 Let m(i) = -i**3 - 4*i**2 - i. Let r be m(-4). Suppose q = 9 - 2. Suppose -5*l + q = -r*l. Solve -l = 3*v + 8 for v. -5 Suppose -2*t = -5*u + 13, -3*u - u + 4*t + 20 = 0. Solve 5 + u = 2*a for a. 3 Let b be 276/(-92) + (7*1 - 0). Let k(q) = q**3 + 2*q**2 - 3*q + 2. Let v be k(-3). Suppose -p - 11 - 4 = -5*c, 40 = v*p + b*c. Solve -y = y + p for y. -5 Let r(l) = 6 - l + l**3 - 4*l**2 + l + 0*l**3 + l. Let t be r(3). Solve -5*d - 14 - 1 = t for d. -3 Let p(w) = 2*w**2 - 14*w + 20. Let c be p(8). Let s = c + -33. Solve -2*r = s*r + 10 for r. -2 Suppose -21 = o + 3*r, -4*o + 3*r + 2*r + 1 = 0. Let q(w) = -4*w - 18. Let l be q(-6). Let j = o + l. Solve j*y = -y - 2 for y. -2 Suppose -9*a - 2*o - 36 = -11*a, a - 2*o - 23 = 0. Solve -5*k + a*k + 40 = 0 for k. -5 Let w = -4 - -6. Suppose -r = z - 0 - 1, 2*r + 5*z + 1 = 0. Let m be (r*w)/((-8)/(-24)). Solve m = c + 3*c for c. 3 Suppose -15*s + 41 = 5*c - 11*s, 5*c = 4*s + 9. Solve 0 = -c*j - 1 + 16 for j. 3 Let r be ((-44)/16 - 2)*-4. Suppose 10*v - 20 = 6*v. Suppose -v = -6*t + r. Solve t = -3*d + 1 for d. -1 Let y = -1 + 3. Let n = -35 - -37. Suppose n*s = -s. Solve s = 3*a + 5 - y for a. -1 Let l = 32 + -19. Let f = l + -10. Suppose -f*n + 2*n = -3. Solve n*x - 1 = 5 for x. 2 Let l be -6*4*(-11)/22. Solve -15*i = -9*i - l for i. 2 Let j be (6/(-39))/1 - (-28)/13. Solve -j*q + 9 = 5 for q. 2 Suppose -12 = -4*f - 2*j, -5*j = -2*j - 6. Let k be 11/((-176)/(-24)) + 17/f. Solve -k = 5*p - 0*p for p. -2 Suppose 0*d - 11 = d - 4*r, 4*d + r - 7 = 0. Let b be (4 - 27/6)*(-1 - -1). Solve -f + 1 + d = b for f. 2 Let g be (-12)/22 - (-4)/(-44)*-61. Solve -g = 4*y + 7 for y. -3 Let s be ((-11)/((-308)/(-360)))/((-1)/7). Suppose 4*t = 5*m + s, 102 = 5*t - 0*t - m. Solve 0*d + 4*d = t for d. 5 Let n be -2 + 5/((4 + 0)/4). Suppose 3*h - 3 = -0. Solve 2*s + h = n for s. 1 Suppose -3*y + 27 = -0*i + 5*i, 4*y - 10 = 2*i. Suppose 2 = 5*r - 13. Let b = -1 + 5. Solve r*m = b*m + y for m. -4 Let o(c) = -c**2 - 8*c + 4. Let v be o(-8). Suppose -2*f = -a - a - 4, -v*a - 14 = -f. Let k be (f - 1)/((-
{ "pile_set_name": "DM Mathematics" }
List the prime factors of 1406539. 1406539 What are the prime factors of 2070798? 2, 3, 345133 List the prime factors of 6935124. 2, 3, 7, 82561 What are the prime factors of 2161138? 2, 7, 29, 5323 What are the prime factors of 1129860? 2, 3, 5, 6277 What are the prime factors of 13069? 7, 1867 What are the prime factors of 489583? 17, 31, 929 List the prime factors of 19494960. 2, 3, 5, 29, 2801 What are the prime factors of 2072997? 3, 17, 797 What are the prime factors of 240881? 240881 What are the prime factors of 547354? 2, 23, 73, 163 What are the prime factors of 894694? 2, 269, 1663 What are the prime factors of 121355? 5, 13, 1867 What are the prime factors of 29092889? 7, 71, 58537 What are the prime factors of 5655452? 2, 11, 79, 1627 List the prime factors of 11787799. 23, 283, 1811 List the prime factors of 42934. 2, 21467 What are the prime factors of 166195? 5, 43, 773 What are the prime factors of 3360710? 2, 5, 31, 37, 293 List the prime factors of 597216. 2, 3, 6221 What are the prime factors of 3667? 19, 193 List the prime factors of 14676346. 2, 23, 37, 8623 List the prime factors of 1192370. 2, 5, 119237 What are the prime factors of 110835? 3, 5, 821 What are the prime factors of 793? 13, 61 What are the prime factors of 698352? 2, 3, 14549 List the prime factors of 18640611. 3, 11, 20921 What are the prime factors of 711823? 7, 73, 199 What are the prime factors of 320427? 3, 35603 List the prime factors of 7288790. 2, 5, 521, 1399 List the prime factors of 585146. 2, 292573 List the prime factors of 215951. 17, 12703 What are the prime factors of 511148? 2, 11, 11617 List the prime factors of 125357. 67, 1871 What are the prime factors of 13516765? 5, 151, 17903 What are the prime factors of 716173? 716173 What are the prime factors of 1068460? 2, 5, 41, 1303 List the prime factors of 604194. 2, 3, 100699 What are the prime factors of 158540? 2, 5, 7927 List the prime factors of 698317. 277, 2521 List the prime factors of 3991756. 2, 233, 4283 What are the prime factors of 12100326? 2, 3, 7, 61, 4723 What are the prime factors of 6475761? 3, 239843 What are the prime factors of 117540? 2, 3, 5, 653 What are the prime factors of 319323? 3, 106441 What are the prime factors of 1883053? 1883053 List the prime factors of 1939783. 137, 14159 What are the prime factors of 2274364? 2, 541, 1051 List the prime factors of 8038. 2, 4019 What are the prime factors of 5451104? 2, 170347 List the prime factors of 1280561. 1280561 List the prime factors of 28926843. 3, 11, 17, 51563 What are the prime factors of 2895957? 3, 233, 1381 List the prime factors of 174897. 3, 19433 List the prime factors of 68011. 23, 2957 List the prime factors of 1487197. 1487197 List the prime factors of 6550005. 3, 5, 7, 11, 53, 107 What are the prime factors of 276874? 2, 13, 23, 463 List the prime factors of 23976871. 179, 133949 What are the prime factors of 19635149? 1201, 16349 List the prime factors of 117638. 2, 131, 449 What are the prime factors of 39211? 113, 347 What are the prime factors of 251615? 5, 7, 13, 79 What are the prime factors of 2141450? 2, 5, 42829 List the prime factors of 14291195. 5, 347, 8237 List the prime factors of 1114785. 3, 5, 7, 3539 List the prime factors of 475496. 2, 7, 1213 List the prime factors of 286291. 67, 4273 List the prime factors of 40583. 40583 List the prime factors of 871521. 3, 7, 47, 883 What are the prime factors of 272895? 3, 5, 7, 23, 113 List the prime factors of 228714. 2, 3, 38119 List the prime factors of 7869883. 7, 1124269 What are the prime factors of 21799529? 21799529 What are the prime factors of 849949? 17, 173 What are the prime factors of 2794492? 2, 131, 5333 List the prime factors of 174279. 3, 7, 43, 193 What are the prime factors of 417749? 23, 41, 443 List the prime factors of 6327357. 3, 2109119 List the prime factors of 3209845. 5, 641969 What are the prime factors of 926136? 2, 3, 19, 677 What are the prime factors of 5189649? 3, 389, 4447 List the prime factors of 1757476. 2, 7, 23, 2729 What are the prime factors of 4074321? 3, 313, 4339 List the prime factors of 173169. 3, 71, 271 List the prime factors of 567334. 2, 331, 857 What are the prime factors of 4564932? 2, 3, 157, 2423 What are the prime factors of 505442? 2, 7, 79, 457 What are the prime factors of 1063917? 3, 118213 What are the prime factors of 420372? 2, 3, 11677 What are the prime factors of 982266? 2, 3, 31, 5281 What are the prime factors of 11544612? 2, 3, 962051 List the prime factors of 17528222. 2, 19, 461269 What are the prime factors of 2452151? 13, 53, 3559 List the prime factors of 223917. 3, 101, 739 List the prime factors of 46200. 2, 3, 5, 7, 11 What are the prime factors of 2325513? 3, 47, 16493 List the prime factors of 4127860. 2, 5, 11, 29, 647 List the prime factors of 10647485. 5, 2129497 What are the prime factors of 21713460? 2, 3, 5, 29, 12479 List the prime factors of 4535870. 2, 5, 19, 23873 What are the prime factors of 340749? 3, 37861 What are the prime factors of 196218? 2, 3, 11, 991 List the prime factors of 188236. 2, 47059 List the prime factors of 108973. 59, 1847 What are the prime factors of 1814597? 17, 173, 617 List the prime factors of 13977079. 13977079 List the prime factors of 6534516. 2, 3, 544543 List the prime factors of 4746594. 2, 3, 791099 List the prime factors of 433308. 2, 3, 36109 What are the prime factors of 229308? 2, 3, 97, 197 What are the prime factors of 8690580? 2, 3, 5, 48281 What are the prime factors of 42592? 2, 11 List the prime factors of 2530702. 2, 179, 7069 List the prime factors of 10639855. 5, 2127971 List the prime factors of 586292. 2, 7, 20939 What are the prime factors of 475035? 3, 5, 11, 2879 List the prime factors of 24153383. 24153383 List the prime factors of 6130862. 2, 3065431 List the prime factors of 450896. 2, 28181 List the prime factors of 1501532. 2, 19, 23, 859 List the prime factors of 227351. 101, 2251 List the prime factors of 8332693. 23, 362291 List the prime factors of 1261540. 2, 5, 7, 9011 What are the prime factors of 139033? 139033 List the prime factors of 414270. 2, 3, 5, 4603 What are the prime factors of 448829? 448829 List the prime factors of 1466319. 3, 23, 79, 269 List the prime factors of 226209. 3, 75403 List the prime factors of 20396326. 2, 31, 61, 5393 List the prime factors of 512067. 3, 170689 List the prime factors of 186228. 2, 3, 7, 739 List the prime factors of 252189. 3, 7, 4003 List the prime factors of 3860172. 2, 3, 107227 List the prime factors of 1395929. 307, 4547 What are the prime factors of 12895564? 2, 11, 293081 What are the prime factors of 4380876? 2, 3, 73, 1667 What are the prime factors of 40576? 2, 317 List the prime factors of 10608392. 2, 1326049 What are the prime factors of 2796877? 2796877 What are the prime factors of 11800681? 2399, 4919 What are the prime factors of 26554517? 11, 29, 83243 What are the prime factors of 8245369? 11, 53, 14143 What are the prime factors of 1084679? 509, 2131 List the prime factors of 607486. 2, 11, 53, 521 What are the prime factors of 132951? 3, 7, 13, 487 What are the prime factors of 1007331? 3, 13, 23, 1123 What are the prime factors of 239606? 2, 47, 2549 What are the prime factors of 1656917? 1656917 List the prime factors of 4396329. 3, 7, 3323 What are the prime factors of 12439218? 2, 3, 11, 188473 List the prime factors of 17987868. 2, 3, 499663 List the prime factors of 15528362. 2, 7764181 List the prime factors of 18228. 2, 3, 7, 31 List the prime factors of 12558. 2, 3, 7, 13, 23 What are the prime factors of 336770? 2, 5, 7, 17, 283 List the prime factors of 58913. 58913 What are the prime factors of 608186? 2, 71, 4283 What are the prime factors of 157728? 2, 3, 31, 53 List the prime factors of 1484478. 2, 3, 82471 What are the prime factors of 3408475? 5, 7, 19477 List the prime factors of 9775354. 2, 31, 157667 List the prime factors of 6015255. 3, 5, 401017 What are the prime factors of 121932? 2, 3, 1129 List the prime factors of 497574. 2, 3, 7, 11, 359 What are the prime factors of 676469? 676469 List the prime factors of 2209326. 2, 3, 7, 41, 1283 What are the prime factors of 31747310? 2, 5, 7, 59, 7687
{ "pile_set_name": "DM Mathematics" }
**(-4/7))**(-3/14)*((x/((((x*x*(x*x**(-2/3)/x)/x)/x)/x)/x))/x)**(13/2)/(x**(1/4)/(x*(x/(x/((x*(x**(-1)/x)/x)/x)*x))/x)) assuming x is positive. x**(7513/588) Simplify a**(-1)/((a/(a*a/((a**(-8)/a)/a)*a)*a)/a)*(a/(a*a**(2/5))*a)/a**(-7) assuming a is positive. a**(93/5) Simplify ((o*o**(1/3))**10)**(1/13)*(o**5*o/(o*o*o**(-2/5)))**(-6/31) assuming o is positive. o**(1052/6045) Simplify ((v/(v*v*v**(-22))*v*v**(-3/5))**38)**(-20) assuming v is positive. v**(-16264) Simplify ((((w/w**(-7))/w*w*w**(-2))**(-26))**10)**(-15) assuming w is positive. w**23400 Simplify (x**1/x**(-5)*x*x**(-1/5)*x*x*x**(-2/5)*x)/((x**(1/2))**(-15/2)*(x**(1/4))**8) assuming x is positive. x**(223/20) Simplify ((((a/(a/a**(-1/26)))/a)/(a*a*a*a/((a/(((a*a/(a*a**(-3)/a))/a)/a))/a)*a*a))/((a*a/a**(-15))/a**(-16)))**(1/18) assuming a is positive. a**(-373/156) Simplify (o*o**(-6)*o*o*o/o**(2/5))**(-16)*(o**(-5)*o*o/(o**5/o))/((o/o**7)/(o*o**(1/9))) assuming o is positive. o**(1733/45) Simplify (((i/(i*i**4))/(i/(((i/((i/(i*i**(-1)))/i)*i)/i)/i)*i))/(i**(2/9)*i**(-2/21)))/(i**1*(i/(i**(-5/3)*i))/i*(i*i**(-1))**(-38)) assuming i is positive. i**(-491/63) Simplify ((f*f*f/f**1*f)**(1/5)*(f/(f*f**(-3)))/f**(-3))/((f/(f*f*f**(-2/5)*f*f*f))**(-7)*(f*f**(-1/3)/f)**(-2/45)) assuming f is positive. f**(-2513/135) Simplify (((b**26)**(-8/9))**(2/19))**(-2/53) assuming b is positive. b**(832/9063) Simplify (j*(j/j**(2/15))/j*j**(-3))/(j**(1/5)/j**(-4))*(j**0*j*((j*j/(j*j**(-3/4)))/j)/j*j*j)/(j/j**(-3)*j**(-6)) assuming j is positive. j**(-19/12) Simplify ((l*((l*l**(-2))/l)/l*l**(2/43)/l)/((l/(l/l**24))/l**(3/22)))**(18/13) assuming l is positive. l**(-228321/6149) Simplify (((((f/f**(-8))/f)/f**(-3))**45)**(-5/12))**22 assuming f is positive. f**(-9075/2) Simplify (v**(-1/4))**(-4)*(v*v**(1/3)/v*v*v*v)**36*((v**4)**(-2/5))**(-2/47) assuming v is positive. v**(28451/235) Simplify ((y*y**(1/2))**(1/6))**(3/13)/(y/(y/y**(2/9))*(y/y**7)/y*y*y/(y*y**(1/6))*y/(y*y**(-4/7)/y)) assuming y is positive. y**(14515/3276) Simplify (w**(-6)/w**(-6))**3*(w**5/(w**(-2/17)*w))**(-2/13) assuming w is positive. w**(-140/221) Simplify (((z/((z**(-4)*z*z)/z))/z*z*z*z**(1/5)/z)/(z**(-1))**(6/7))/(((z/(z**0/z))/z**4)/(z**(-3)*z/(z**0*z))) assuming z is positive. z**(142/35) Simplify (x/(x**21*x)*x*x*x**(1/9)*x**(-15)/x*x**(1/26)*x)**44 assuming x is positive. x**(-174262/117) Simplify ((a/(a*a/(a*a/(a/(a/((a**(-1)*a*a)/a)))*a)))/a)**(-7/10)/((a/(a*a**3*a)*a*a)/(a/a**4*a))*(a**(-3)*a**(-7))**32 assuming a is positive. a**(-3207/10) Simplify ((z*z*z**27/z)/(z*z**2))/(z**8)**(1/2) assuming z is positive. z**21 Simplify (l*l**(-1))**0/(l*l/(l*(l**(-1/8)*l)/l*l)*l**(-5/3))*((l/(l**5*l))/(l*l/(l*l*l**3*l)))**(5/2) assuming l is positive. l**(-23/24) Simplify m**(-1/15)*m*m*m**(-37)/m*m*(m**(-28))**(-44) assuming m is positive. m**(17954/15) Simplify ((o/(o*o/o**(-1/5)))**(-13/7)/((o*o*o**(6/7)/o*o)/(o*(o/(o*(o/(o**29/o))/o)*o)/o*o)))**(-2/77) assuming o is positive. o**(-2056/2695) Simplify (p**(3/8)*p*p**(-2/11)/p*p)**(-12/17)*(p/(p*p/(p*p*p/(p/(p/p**(-2)*p)))))**44/(p**3*p/(p**1/p)) assuming p is positive. p**(80469/374) Simplify (((((u*u**(1/2))/u)/u)/u)**50*(u*u/u**21*u)/u*u/u**9)**11 assuming u is positive. u**(-1122) Simplify ((l**2)**(-12/17)/(l**0)**(-30))/(l**1*l/(l/(l**7/l*l))*(l/(l*(l*l**(2/3))/l*l*l))**(-6)) assuming l is positive. l**(-432/17) Simplify ((y**(6/11)/y**(-4/5))/((y**(-2/23)/y)/y*y/(y/(y/((y*y/(y*y**(2/11)))/y)*y))))/(y*y/(y/((y/y**14*y)/y*y))*y**(4/13))**(-19) assuming y is positive. y**(-3320299/16445) Simplify (h**30*h**(-14/5)*h*(h*h*h**11)**(-1/23))**40 assuming h is positive. h**(25424/23) Simplify (l**(1/66)/l**(-10))/(((l**9/l*l)/l)/(l*l/(l/((l*l**(-2/11))/l*l)*l))) assuming l is positive. l**(17/6) Simplify (h**3/h)/h**(-3)*h**3*h/h**(4/3)*h*(h*h/(h**8*h))/h**(4/5)*h**1*h*h**(1/2) assuming h is positive. h**(101/30) Simplify (((((k**3*k)/k)/k)/k*k)/(((k/(k/((k**3/k)/k)*k))/k)/k)*k**(-1/2)/k*k*k**7/k)/((k*(k/(k/k**(-2)*k))/k*k*k)**25)**(-2/13) assuming k is positive. k**(147/26) Simplify ((j/(j/j**4))**(-43/3)/(j**(2/5)/j*j)**(-14))**12 assuming j is positive. j**(-3104/5) Simplify ((f/(f/(f/f**5)))**33)**(-35)/((f**(-2/9)/f)/f**(1/5))**(1/54) assuming f is positive. f**(5613332/1215) Simplify ((m/m**(3/23)*m*m**(-3)*m)/(m**(9/8)/(m/((m**(14/3)*m)/m))))**17 assuming m is positive. m**(-46189/552) Simplify (((c**(-2/7))**(-21/8))**(-18))**1 assuming c is positive. c**(-27/2) Simplify ((j/j**(-1/2))**(-3/32)/((j/((j/(j**1/j))/j))/j*j*(j/j**(1/11))/j))/((j*j**1*j*j/(j**(-2/5)*j))/(j/(j*j**1))**(-7)) assuming j is positive. j**(8977/3520) Simplify (((v**(-1/3)*v)/v*v**23)/(v**12)**(-14))**(-33) assuming v is positive. v**(-6292) Simplify ((h*h**(-2/9))**(-1/26)/(h/h**(-2/7))**(-30))/((h*h**(-2/5)*h*h)**29/(h/(h*(h/h**(-3))/h)*h**(1/12))) assuming h is positive. h**(-651517/16380) Simplify (a**(-18))**25/((a/(((a*a**(-17/3))/a)/a)*a)/a**(-9/2)) assuming a is positive. a**(-2779/6) Simplify ((t*t**(-2/19))/t**(2/13)*(t/((t**3/t)/t))/(t/t**(-6)))/(t*t/(t*t*t*t**(-1/2)*t)*t**(2/9))**(-1/21) assuming t is positive. t**(-590069/93366) Simplify ((m/((m*m*m**(-7))/m))/(m*m/m**4*m))**19/(m**(-2/5)*(m**6/m)/m)**(-16) assuming m is positive. m**(1048/5) Simplify (c/(c**(-4/3)/c)*c**(-1/21)*(c*c/c**(-1/2)*c)**(-36))**43 assuming c is positive. c**(-36937/7) Simplify ((k**(1/3)/k*k/(k*k/(k**(2/5)*k)))/((k**(-2/7)*k)/k)**21)/(((k*k**3)/k**(-4))/(k**(-1/2))**(-36)) assuming k is positive. k**(236/15) Simplify ((a**(-3/14)/a)**12*a**(-3)*a*a**12*a)**(1/11) assuming a is positive. a**(-25/77) Simplify (k**(-8)/k*k)/(k**(1/9)*k)*k**3*k*k/(k*k**(6/7))*k/k**(-4/3)*k**(1/8)*(k/(k/((k**(1/3)/k*k)/k)))**37 assuming k is positive. k**(-14201/504) Simplify (s**6/(s/(s/((s*s**(-1/3))/s))))**(-41)/(((s*s**(2/3)*s)/s)**(1/19)/(s**(-1/4)/(s*s**(-2/11)))) assuming s is positive. s**(-654143/2508) Simplify (((w/(w*w**(-6)))/w)/w**(6/7))**(-48)*(((w**(2/3)*w*w*w)/w*w)**21)**(1/4) assuming w is positive. w**(-5029/28) Simplify ((v*(v*v/(v*v**1)*v)/v)/v)**(-5)*(v**4/v)/(v/(v/(v/(v/v**(-2/13)))))*(v**(-2/5)*v*v**(-8)/v*v)**(-39) assuming v is positive. v**(18964/65) Simplify (((q*q/(q*q*q**(-4)*q*q*q))/q*q)**(6/23))**(-47)/(((q*q**(-2/13)/q)/q)/(q**10*q))**41 assuming q is positive. q**(145328/299) Simplify (r**42*r*r*(r**(-37)*r*r)/r*r*r*r)/(r**(32/3)/r*(r/r**(-45))/r) assuming r is positive. r**(-131/3) Simplify ((n**(-1/2))**(-5/8)*n/(n*n*n**(-5)*n)*n**5)/(n**(-1)*n/n**(-1)*n/(n/(n*((n/(n/n**1*n)*n*n*n)/n)/n))*n/n**(4/3)) assuming n is positive. n**(271/48) Simplify v*v**(14/3)*v**(3/14)/v*(v/v**(15/7))/v*(v*v**(-5/11))/v assuming v is positive. v**(1055/462) Simplify (l**(-8/3)/l*l**30)/(l**0)**(19/2) assuming l is positive. l**(79/3) Simplify ((i**(-9))**(-24)/(i**(-11)*i**(-19)*i))**(-23) assuming i is positive. i**(-5635) Simplify ((i**(-2))**26/(i/(i/((i*i*(i*i/i**(-9/4))/i*i)/i))*i)**(-49))**(-15) assuming i is positive. i**(-15255/4) Simplify (u**1/(u/(u*(u**(2/15)*u)/u)))**(1/12)/((u**(1/8)*u/(u*(u**(2/5)*u)/u))/(u*((u/u**(-2/3))/u)/u)**(2/77)) assuming u is positive. u**(10721/27720) Simplify ((f**(-1)/f)/(f**(1/2)/f))**(-11)*((f**(-5))**(-1/12))**(1/2) assuming f is positive. f**(401/24) Simplify (((b**3/b)/b)/b*b*b**4)**47/((b**(-3/2)*b*b**(2/7))/(b**5/b**(-1/10))) assuming b is positive. b**(8411/35) Simplify ((v**(-2))**(-50)*((((v*v**2)/v*v*v*v*v*v)/v*v*v)/v)**50)/((v**(2/9))**15/(v**(2/9)/v)**(1/12)) assuming v is positive. v**(48233/108) Simplify (s**2)**(-2/11)*(s**(-2/5))**33*(s**(1/3)/s)**(-32)*s**(2/3)*s*s*s**(-2/11) assuming s is positive. s**(564/55) Simplify ((q/((q/q**(-1/6))/q))/(q*(q**(-2)*q)/q))**(-2/23)/((q/q**(-4))/q*q*q*q/(q**(-2/11)*q))**42 assuming q is positive. q**(-197185/759) Simplify (a/(a/a**(-4/5))*a**(-1))**12/((a**(-1/5)/a)/(a**(2/3)/a)*a**2/(a**4/a)) assuming a is positive. a**(-296/15) Simplify (((x*x/(((x**(-3)/x*x)/x)/x))/x)**(6/23))**(-40)*(x**9*x*x/(x/x**(-8/3)*x))**(-1/55) assuming x is positive. x**(-238037/3795) Simplify x/(x*x/(x*x*x**6)*x)*x*x*(x*x**1)/x*x*(x*x*x**(-1)*x*x)**(-2/35)*(x*x/x**(-2/7))**(-29)/(x/(x**(1/6)/x*x)*x/(x**(3/7)*x*x)) assuming x is positive. x**(-11731/210) Simplify (c/(c*c*c*c*c**(2/11)*c)*((c**(-8)*c)/c)/c)/(c**1*c**(-7))*(c/c**2)**(-2
{ "pile_set_name": "DM Mathematics" }
c*a(g) + v*j(g). -g - 1 Let w(b) = b + 4. Suppose -20 = -4*j - 4. Let u(n) = -j + 0 + 3 + 2. Let k(y) = 1228*y - 7370. Let q be k(6). Give q*w(s) + 6*u(s). -2*s - 2 Let c(z) = 8*z**2 - 3*z + 1. Let i(w) be the second derivative of 3*w**4/4 - w**3/3 + w**2/2 - 124*w. What is 4*c(r) - 5*i(r)? -13*r**2 - 2*r - 1 Let k(n) = 7*n**3 - 54*n**2 - 59*n + 4. Let i(g) = -2*g**3 - 13*g**2 + g + 1. Give -4*i(z) + k(z). 15*z**3 - 2*z**2 - 63*z Let f(l) be the third derivative of -l**4/24 + 48*l**2. Let q(p) = -3*p**2 - 13*p + 1. Let d(j) = 2*j. Let w(a) = 4*d(a) + q(a). Determine 4*f(s) - w(s). 3*s**2 + s - 1 Let w(j) = -6*j + 7. Let v(c) = c - 1. Let u be -1*1/5 + (-2808)/(-65). Let s = u - 9. Let z = 37 - s. Give z*w(r) + 21*v(r). 3*r Let v(m) = -120*m**3 - 13*m**2 + 3*m + 15. Let d(i) = -120*i**3 - 11*i**2 + 2*i + 12. Determine 5*d(y) - 4*v(y). -120*y**3 - 3*y**2 - 2*y Let l(t) = 11*t - 11. Let b(d) be the first derivative of -3*d**2 + 6*d + 389. Suppose 8*j + 4*a + 30 = 6*j, -40 = 5*j + 3*a. Determine j*b(h) - 3*l(h). -3*h + 3 Let c(d) = -4*d**3 - 3*d**2 + 5*d - 5. Let q(x) = 0*x**3 - x - 2*x**2 + 28 - 32 + 5*x - 3*x**3. Let t be (66/24)/(-11)*-12. Give t*q(f) - 2*c(f). -f**3 + 2*f - 2 Let q(j) = j - 1. Let w = 3445 + -3446. Let u(c) = -5 - c + 0*c + 2*c + 2. Calculate w*u(d) + 2*q(d). d + 1 Let x = -22 + 13. Let u(o) be the third derivative of o**4/4 + o**2 + 2*o + 586. Let f(c) = 24*c. Determine x*u(h) + 2*f(h). -6*h Let f(d) = 38*d**2 + 8*d + 94. Let y(p) = 108*p**2 + 23*p + 280. Determine 17*f(s) - 6*y(s). -2*s**2 - 2*s - 82 Let w(n) = -163305911 + 163305903 - 2*n + 20*n**2 + 2*n. Let k(v) = 7*v**2 - 3. What is 8*k(u) - 3*w(u)? -4*u**2 Let x(i) = 89*i - 22. Let h(u) = u + 3. Determine 14*h(l) + 2*x(l). 192*l - 2 Let v(p) = p. Suppose 7*n + 5*n = 1200. Let r = n + -105. Suppose 0*o - 24 = -3*o + 2*g, 5*o - g - 33 = 0. Let u(i) = 2*i. What is o*v(x) + r*u(x)? -4*x Let l(n) = 35*n**2 + 10*n. Let w(k) = -7*k**2 - 2*k. Let v = 2693 - 2704. Calculate v*w(s) - 2*l(s). 7*s**2 + 2*s Suppose -k = -2*k - 4. Let v(b) = -6*b**2 + b + 1. Let t(h) be the second derivative of h**4/12 - 2*h + 1442. Calculate k*t(a) - v(a). 2*a**2 - a - 1 Let k(o) = -o**3 - 3*o**2 + 3. Suppose 0 = 28*m - 0 - 0 - 0. Let g(d) be the first derivative of d + m*d**2 - 1/3*d**3 - 2. Determine 3*g(b) - k(b). b**3 Let o(g) = 1028914*g**3 + 2567*g**2 - 2567*g + 5134. Let u(k) = -2404*k**3 - 6*k**2 + 6*k - 12. What is -6*o(l) - 2567*u(l)? -2416*l**3 Let d(y) = 11*y**2 - 4*y + 4. Let o(t) = 4*t**2 + t - 1. Let i(z) = -9*z**2 - z + 2. Let p(c) = -i(c) - 2*o(c). Determine -d(f) + 3*p(f). -8*f**2 + f - 4 Let g(w) = 2*w - 3. Let o = -1340 + 1341. Let b(v) = v + 1. Calculate o*g(a) + 5*b(a). 7*a + 2 Let u(d) = -55*d. Let a(f) = -3*f - 7. Let j be a(-7). Suppose 14*z - 1223 = -957. Let o(c) = -10*c - j*c + z*c. What is 65*o(k) - 6*u(k)? 5*k Let x(j) be the second derivative of 2*j**3 + 402*j. Let g(l) = 119*l. Determine 2*g(c) - 21*x(c). -14*c Let c(v) = 15*v**3 + 7*v**2 + 5*v + 5. Let s be ((-3034)/205 - -14)*(-25)/4. Let l(f) = -7*f**3 - 3*f**2 - 2*f - 2. Calculate s*l(y) + 2*c(y). -5*y**3 - y**2 Let n(p) = -3*p**3 - 62*p**2 - 4*p - 2. Let g(z) = -3*z**3 - 67*z**2 - 5*z - 3. Calculate 4*g(c) - 5*n(c). 3*c**3 + 42*c**2 - 2 Suppose m = 2*m + 6. Let a(l) = 5*l + 14 - 36 + 8 + 3*l + 13. Let b(h) = h. What is m*b(u) + a(u)? 2*u - 1 Suppose 3*m = -6 + 4 - 13. Let y(q) = -q**2 + 8*q - 10. Let i(a) = -a**2 + 7*a - 9. Determine m*y(w) + 6*i(w). -w**2 + 2*w - 4 Let f(j) be the first derivative of -5*j**3/3 + 7*j**2/2 - 3*j + 746. Let r(k) = k - 1. What is -f(w) + 4*r(w)? 5*w**2 - 3*w - 1 Let c(o) = -6*o - 4. Suppose -3*f - 13 = -235. Suppose 4 = f*t - 72*t. Let y be (-4 + (t - 0))/((-8)/20). Let l(g) = -5*g - 3. Calculate y*l(x) - 4*c(x). -x + 1 Let r(l) = 2*l**3 + 6*l. Let s(p) = -51*p**3 - 29*p. Let n(a) = -4*r(a) - s(a). Let t(x) = -43*x**3 - 4*x. Determine -4*n(b) - 5*t(b). 43*b**3 Let z(k) = -12*k**3 - 2*k**2 + 9*k + 6. Let u(v) = -6*v**3 - v**2 + 4*v + 2. Give -9*u(b) + 4*z(b). 6*b**3 + b**2 + 6 Let g(d) = 8*d + 175. Let w be g(-21). Let a be (w - 8)/1 - 5. Let u(t) = 4*t. Let r(h) = 9*h + 1. What is a*r(m) + 13*u(m)? -2*m - 6 Let a(s) = -s + 1. Suppose 4*q + 4 = 0, -6*q = -4*h - 3*q - 1. Let t(y) = -y**2 - 2*y. Let o be 2/8*(-9 - -21). Suppose 6 = o*v - 0*v. Give h*t(l) + v*a(l). l**2 + 2 Let l(q) = 109*q + 105*q + 105*q + 107*q - 427*q. Let v(k) = -12*k**2 + 60*k. Suppose 3*c + 0*g + 3*g = -12, -3*c + 2*g + 13 = 0. Give c*v(i) + 60*l(i). -12*i**2 Let j(o) = -o**3 + 5*o**2 - 3*o - 2. Let k(b) = 88 - b**3 + 22255*b - 22257*b - 89 + 5*b**2. Give -2*j(s) + 3*k(s). -s**3 + 5*s**2 + 1 Let a(j) = j + 43*j**3 - 79*j**3 + 37*j**3 - 5 + 6 - j**2. Let l(y) = -y**3 - 3*y**2 - 6*y - 3. Give 3*a(s) + l(s). 2*s**3 - 6*s**2 - 3*s Let k(p) = 8*p**2 + 13*p + 21. Suppose 0 = 17*f - 112 + 333. Let z(a) = 4*a**2 + 6*a + 10. Calculate f*z(u) + 6*k(u). -4*u**2 - 4 Suppose 2*x - 4*a - 3 = -5, 5*x + 5 = -5*a. Let v(c) = c**2 + c + 1. Let k(u) = 3*u**2 + 4*u + 2. What is x*k(h) + 2*v(h)? -h**2 - 2*h Let u(b) = -11*b**3 - 14*b**2 - b - 12. Let t(c) = -8*c**3 - 12*c**2 - 13. Determine 3*t(v) - 2*u(v). -2*v**3 - 8*v**2 + 2*v - 15 Let u(p) = 6213*p - 20. Let i(g) = -2072*g + 7. Calculate 14*i(z) + 5*u(z). 2057*z - 2 Let h = 206 + -197. Suppose 26*u - h = 69. Let r(w) = -w. Let c(t) = -2*t - 1. Calculate u*r(p) - 2*c(p). p + 2 Let x(a) = 8*a**3 + 6*a**2 + a + 1. Let z be 27/33 - (-152)/836. Let s(c) = -c**3 - c**2. Give z*x(i) + 6*s(i). 2*i**3 + i + 1 Let b(w) = 5*w**3 - 54*w**2 - 4*w + 62. Let y(p) = p**3 - 9*p**2 - p - 1. Calculate -b(m) + 6*y(m). m**3 - 2*m - 68 Let g(w) = 18*w**2 + 486*w - 24. Let x(o) = 9*o**2 + 246*o - 14. Determine 3*g(z) - 5*x(z). 9*z**2 + 228*z - 2 Let b(h) = 8*h**2 + h + 3. Let p be -9 + (-2 - 40/(-44))/((-54)/297). Let v(z) = 17*z**2 + z + 5. What is p*v(x) + 5*b(x)? -11*x**2 + 2*x Let s(b) = 7*b**3 + 6*b**2. Let o(v) = -6*v**3 - 5*v**2. Let g be 3 - -6*(-5)/(-90)*-3. What is g*s(i) + 3*o(i)? -4*i**3 - 3*i**2 Let v(h) = 1279*h + 6. Let r(l) = -3843*l - 21. Calculate 2*r(w) + 7*v(w). 1267*w Let p(w) = 16*w**2 + 15*w + 6. Let i(u) = 3*u**2 + 3*u + 1. Let z be (6467/290 - 22) + (-339)/30. What is z*i(g) + 2*p(g)? -g**2 - 3*g + 1 Let n(f) = -f. Let o = 7651 + -7655. Let h(d) = 2*d**2 - 6*d + 4. Determine o*n(z) + h(z). 2*z**2 - 2*z + 4 Let c(s) = -16*s**2 - 5*s - 5167. Let h(o) = 22*o**2 + 7*o + 7750. What is 7*c(d) + 5*h(d)? -2*d**2 + 2581 Let s(j) = -7*j**3 + 1395. Let z(w) = 13*w**3 - 2793. Determine 9*s(i) + 5*z(i). 2*i**3 - 1410 Let y(k) = -124*k + 27. Let b(z) = 16. Determine 2*b(d) - y(d). 124*d + 5 Let x(i) = -2*i - 3. Let a(n) be the second derivative of n**3/3 + n**2 + 410*n. Give 6*a(r) + 5*x(r). 2*r - 3 Let m = -300 + 304. Let z(j) = -j**3 + j**2 - j - 1. Let x(v) be the second derivative of 3*v**5/10 - v**4/6 + v**3/6 + 2*v**2 - 3*v - 3. What is m*z(f) + x(f)? 2*f**3 + 2*f**2 - 3*f Let k(i) = i**2 + i + 1. Let z(c) = -13*c**2 + 37*c + 2*c**2 - 5 - 16*c - 3*c - 22*c. Give -5*k(l) - z(l). 6*l**2 - l Let v(t) = t + 1. Let z(x) = -5*x - 6. Let i be 9/(-108)*-6*(-2 + 0). Let c(d) = -2. Let l(p) = i*z(p) + 2*c(p). What is -l(a) + 6*v(a)? a + 4 Let v(j) = 2 + 31 - 9*j**2 + 102*j**3 + 9*j**2 - 101*j**3. Let d(s) = 2*s**3 + 65. Determine 4*d(r) - 7*v(r). r**3 + 29 Let z(g) = 4*g + 2491. Let a(o) = 11*o + 7474. Calculate 5*a(t) - 14*z(t). -t + 2496 Let d(g) = -34*g**3 + 3*g - 3. Let j(u) = -4*u**3. Let q(w) = d(w) - 6*j(w). Let t(i) = 299*i**3 - 91*i + 91. Calculate -182*q(y) - 6*t(y). 26*y**3 Let g(r) = 8*r - 10 + 10 + 5*r + 15*r - 7. Let u(m) = 9*m - 2. Give 6*g(k) - 21*u(k). -21*k Let b(f) = 3*f**3 - 5*f**2. Let o be (-20)/35 + (-1544)/(-56). Suppose -3 = s - 4*c, 4*s + 5*c - o - 3 = 0. Let j(h) = -h**2. Calculate s*j(m) - b(m). -3*m**3 Let y(l) be the third derivative of l**4/12 - l**3/2 - 3853*l**2. Let b(q) = -q + 2. Calculate -8*b(u) - 5*y(u). -2*u - 1 Let w(t) = 10*t - 6. Let g(k) = -k - 4. Let i(a) = -g(a) + w(a). Let o(c) = -c + 1. Determine -2*i(u) - 6*o(u). -16*u - 2 Let x(w) be the first derivative of w**3/3 + 2*w**2 - 7*w - 2. Let i be x(-6). Let q(z) = -1195*z + 2328*z - 1128*z. Let n(m) = 3*m. Give i*q(h) - 7*n(h). 4*h Let u(a) = -a**2 + a - 4. Let b(y) = 9 + 7 + 10 + 8 - 37. Suppose
{ "pile_set_name": "DM Mathematics" }
se v(z) = 0. What is z? -1, 0 Let r(y) be the second derivative of -y**7/1260 + y**6/360 - y**5/360 - 3*y**2/2 + 15*y. Let q(j) be the first derivative of r(j). Factor q(z). -z**2*(z - 1)**2/6 Let q(g) = g**3 - g + 1. Suppose h + 3*h - 4 = 0, 5*w = 2*h + 18. Let f(t) = -12*t**2 - 16*t. Let k(v) = w*q(v) - f(v). Suppose k(m) = 0. Calculate m. -1 Let p(w) be the first derivative of 49*w**6/18 + 14*w**5/5 - 10*w**4/3 - 14*w**3/3 - 3*w**2/2 - 127. Determine q so that p(q) = 0. -1, -3/7, 0, 1 Let z(d) be the third derivative of d**6/72 + d**5/8 - 5*d**4/6 - 7*d**3/2 - 17*d**2. Let i(v) be the first derivative of z(v). Determine c so that i(c) = 0. -4, 1 Let g(a) be the third derivative of a**7/105 - a**6/20 - 7*a**5/30 + 5*a**4/4 + 6*a**3 + 4*a**2 - 19*a. Factor g(o). 2*(o - 3)**2*(o + 1)*(o + 2) Let u be (1 - 24)*(-4 - -5)/1. Let h = u - -27. Determine w so that -w**3 - 1/2*w + 0 - 5/4*w**2 - 1/4*w**h = 0. -2, -1, 0 Let -34/3*r**2 + 0*r**3 + 32/3 + 2/3*r**4 + 0*r = 0. What is r? -4, -1, 1, 4 Suppose 48/7*r - 2/7*r**3 + 0 - 10/7*r**2 = 0. What is r? -8, 0, 3 Let p(w) = w**3 - 45*w**2 + 329*w - 180. Let x be p(36). Solve -9/11 + 1/11*l**2 + x*l = 0 for l. -3, 3 Let x(r) be the third derivative of r**6/900 - 2*r**5/225 - r**4/180 + 4*r**3/45 + 482*r**2. Factor x(m). 2*(m - 4)*(m - 1)*(m + 1)/15 Suppose 0*t - 1/4*t**5 + 0 - 3/4*t**4 + 9/4*t**3 - 5/4*t**2 = 0. What is t? -5, 0, 1 Let z(x) be the third derivative of -19/80*x**6 - 13/4*x**4 + 0*x - 67/60*x**5 - 6*x**3 - 10*x**2 - 1/35*x**7 - 1/672*x**8 + 0. Factor z(o). -(o + 2)**3*(o + 3)**2/2 Let m(r) be the second derivative of r**5/50 + 7*r**4/30 + 14*r**3/15 + 8*r**2/5 - 30*r. Factor m(f). 2*(f + 1)*(f + 2)*(f + 4)/5 Suppose 0 = 5*v - 4*v - g - 6, 4*v = 3*g + 20. Suppose 0 = 5*u - 2*x - 20, 2*x = -2*u - 3*u. Factor -u*n**2 - v*n + 4 + 2*n**3 - 2*n**2 + 0*n**2. 2*(n - 2)*(n - 1)*(n + 1) Let c(z) be the second derivative of z**6/165 - z**5/55 - 2*z**4/33 + 8*z**3/33 - 70*z. Factor c(n). 2*n*(n - 2)**2*(n + 2)/11 Let z(c) be the third derivative of -c**5/20 - 13*c**4/16 - 3*c**3/2 + c**2 - 35*c. Factor z(m). -3*(m + 6)*(2*m + 1)/2 Let j(h) be the first derivative of h**4/30 + h**3/15 + 4*h - 8. Let a(n) be the first derivative of j(n). Factor a(o). 2*o*(o + 1)/5 Let y(r) be the second derivative of r**5/40 + 23*r**4/24 + 91*r**3/12 - 507*r**2/4 + 33*r + 1. Suppose y(p) = 0. Calculate p. -13, 3 Let y be (10 - 0 - (15 + -15)) + -10. Solve 32/7*b**2 + 24/7*b + 2/7*b**4 + 2*b**3 + y = 0 for b. -3, -2, 0 Let i(s) be the second derivative of -12*s - 7/9*s**4 - 16/9*s**3 + 32/3*s**2 - 1/15*s**5 + 0. Factor i(b). -4*(b - 1)*(b + 4)**2/3 Let h = 211/20504 + 1/932. Let a = 185/792 - h. Factor a*m - 2/9*m**2 + 0. -2*m*(m - 1)/9 Let k(h) = -2*h - 10. Let p be k(-6). Suppose 0 = -5*i + 24 - 4. Factor p*r**3 + r**2 + 0*r**2 - i*r**3 + 2*r - r**4 + 0*r**2. -r*(r - 1)*(r + 1)*(r + 2) Let n(c) be the first derivative of 0*c**2 - 1/2*c**6 + 6/5*c**5 + 0*c - 3/4*c**4 - 5 + 0*c**3. Factor n(r). -3*r**3*(r - 1)**2 Suppose -15*y - 3*h = -16*y + 15, -4*h = y + 13. Let c(l) be the third derivative of y*l**2 + 0 - 1/8*l**4 + 0*l + 1/60*l**5 + 1/3*l**3. Factor c(n). (n - 2)*(n - 1) Let w be ((-1 - 0)/2)/((-10)/60). Let -35*l**2 + 24*l + 152*l**2 + 13*l**3 - 82*l**w - 12 - 60*l**4 + 0 = 0. Calculate l. -2, -2/5, 1/4, 1 Let b(c) be the second derivative of c**4/3 - 68*c**3/3 - 241*c. Factor b(y). 4*y*(y - 34) Let i(o) = 103*o**3 + 42*o**3 + 266*o + 680*o**2 + 76 + 139*o + 225*o**3. Let z(b) = b**3 - b**2 + 1. Let u(w) = i(w) + 5*z(w). Factor u(s). 3*(5*s + 3)**3 Let w(b) be the third derivative of b**6/600 + 17*b**5/300 + b**4/4 + 559*b**2. Factor w(g). g*(g + 2)*(g + 15)/5 Let g be (-1 + 2)/1 - -13. Let y = 19 - g. Determine w so that -6 + y*w - 3*w**2 - 21 - 27*w + 4*w = 0. -3 Let h be (-30)/36*(1114/(-20) - -2). What is d in -9 + 51/4*d**3 + h*d**2 + 24*d + d**4 = 0? -6, -1, 1/4 Let m be (5/(-3))/(2/(-6)). Suppose -m*h - 5 = -6*h. Solve 9*o**3 - 2*o**3 - 3*o**3 - o**h - 3*o**5 = 0. -1, 0, 1 Let t = 1172 + -1172. Let j(k) be the second derivative of -1/9*k**3 + 1/30*k**5 - 1/3*k**2 + t + 1/18*k**4 + 7*k. Factor j(h). 2*(h - 1)*(h + 1)**2/3 Let v(i) be the second derivative of 16*i + 0 + 1/210*i**7 + 0*i**3 - 1/150*i**6 + 1/60*i**4 + 0*i**2 - 1/100*i**5. Factor v(u). u**2*(u - 1)**2*(u + 1)/5 Let j(g) be the second derivative of g**7/168 + 3*g**6/20 + 3*g**5/2 + 23*g**4/3 + 22*g**3 + 36*g**2 + 8*g + 2. Factor j(d). (d + 2)**3*(d + 6)**2/4 Let n(q) = 6*q**5 + 4*q**4 - 5*q**3 - 5*q**2 + 5. Let o(w) = -6*w**5 - 4*w**4 + 6*w**3 + 6*w**2 - 6. Let u(t) = 6*n(t) + 5*o(t). Factor u(d). 2*d**4*(3*d + 2) Let n(d) be the first derivative of -2*d**3/3 + 9*d**2 + 49. Factor n(a). -2*a*(a - 9) Let z = -246 - -5176/21. Let g(v) be the second derivative of 4/7*v**2 - 2*v + 3/14*v**4 + 1/210*v**6 + z*v**3 + 1/20*v**5 + 0. Factor g(l). (l + 1)*(l + 2)**3/7 Factor 2/3*n**4 - 4/3*n - 2/3 + 4/3*n**3 + 0*n**2. 2*(n - 1)*(n + 1)**3/3 Let g(w) be the first derivative of -5*w**6/6 - 12*w**5 - 205*w**4/4 - 190*w**3/3 + 90*w**2 + 280*w - 51. Factor g(c). -5*(c - 1)*(c + 2)**3*(c + 7) Let y(m) be the third derivative of m**5/15 + 3*m**4/2 - 336*m**2. Solve y(a) = 0. -9, 0 What is y in 2/5*y**2 + 4/5*y**3 - 4/5*y - 2/5*y**4 + 0 = 0? -1, 0, 1, 2 Let b(h) be the first derivative of h**3/7 - 3*h**2/14 - 6*h/7 + 407. Factor b(d). 3*(d - 2)*(d + 1)/7 Let t(a) be the second derivative of -3*a**7/14 - 43*a**6/30 + 19*a**5/20 + 43*a**4/12 - 5*a**3/3 + 2*a - 677. Solve t(v) = 0 for v. -5, -1, 0, 2/9, 1 Let l = -72 + 75. Suppose 3*i = -15, -i - 7 = -l*u - 2. Factor u - 3/4*q + 3/2*q**3 - 3/4*q**2. 3*q*(q - 1)*(2*q + 1)/4 Suppose -3/10*k**2 + 0 + 0*k + 1/10*k**5 + 7/10*k**3 - 1/2*k**4 = 0. Calculate k. 0, 1, 3 Let m(n) be the second derivative of 1/120*n**5 + 2*n - 1/3*n**3 + 1/12*n**4 - 7/2*n**2 + 0 - 1/240*n**6. Let b(x) be the first derivative of m(x). Factor b(s). -(s - 2)*(s - 1)*(s + 2)/2 Solve -26/9*m**3 + 0 + 0*m - 2/9*m**4 - 80/9*m**2 = 0. -8, -5, 0 Let y(w) = w**3 + 5*w**2 - 2*w - 8. Let u be y(-5). Let f = -3/2 + u. Factor -1 + a**2 + 1/2*a - f*a**3. -(a - 2)*(a - 1)*(a + 1)/2 Let o = 2317 - 2315. Factor 1/5*b**o + 0*b + 0. b**2/5 Let s(v) be the second derivative of v**5/80 - 27*v**4/16 + 729*v**3/8 - 19683*v**2/8 + 714*v. Determine y so that s(y) = 0. 27 Let c(z) be the third derivative of z**8/560 + z**7/175 - 3*z**6/100 - 2*z**5/25 + z**4/8 + 3*z**3/5 - 2*z**2 + 90*z. Find i such that c(i) = 0. -3, -1, 1, 2 Let x = 29 + -35. Let l be (-4)/((-3)/x*-28). Factor 0 + 2/7*v**4 + 0*v - 2/7*v**2 + 2/7*v**5 - l*v**3. 2*v**2*(v - 1)*(v + 1)**2/7 Let h(r) = 3*r**2 - 115*r - 200. Let d be h(40). Factor -1/2*m**4 + 3/2*m + 5/2*m**2 + 1/2*m**3 + d. -m*(m - 3)*(m + 1)**2/2 Suppose 5*v - 8*v = 72. Let k be (-2)/1 + v*(-12)/126. Find n such that -k*n + 4/7 - 2/7*n**2 = 0. -2, 1 Let y(n) be the first derivative of 2*n - 1/6*n**3 - 1/3*n**4 - 3/20*n**5 - 6 + 0*n**2. Let t(r) be the first derivative of y(r). Factor t(l). -l*(l + 1)*(3*l + 1) Determine a, given that -18/11 + 2/11*a**3 + 18/11*a**2 - 2/11*a = 0. -9, -1, 1 Let x = -1099 - -5498/5. Let n(k) be the first derivative of -x*k**2 + 9/5*k - 1/5*k**3 + 4. Find l such that n(l) = 0. -3, 1 Factor 600*x**2 + 205 - 610*x - 47*x**4 + 127*x**4 - 41*x**4 - 44*x**4 - 190*x**3. -5*(x - 1)**3*(x + 41) Let z(c) be the first derivative of 5*c**3/3 + 35*c**2 + 104. Factor z(s). 5*s*(s + 14) Let a(f) be the second derivative of f**5/60 + f**4/36 - 33*f. Factor a(g). g**2*(g + 1)/3 Factor 0 + 1/5*c**2 + 1/5*c**3 - 1/5*c**4 - 1/5*c. -c*(c - 1)**2*(c + 1)/5 Let b(z) = 17*z**3 + 8*z**2 - 7*z + 2. Let o(r) = -16*r**3 - 9*r**2 + 6*r - 1. Let v be 1/(-2*4/48). Let q(y) = v*b(y) - 7*o(y). Find f such that q(f) = 0. -1, 1/2 Let t(k) be the third derivative of k**6/40 - 3*k**5/4 - 33*k**4/8 - 17*k**3/2 - 35*k**2 + 2. Find u, given that t(u) = 0. -1, 17 Let u**2 - 34/7 - 117/7*u = 0. Calculate u. -2/7, 17 Let q(r) be the third derivative of 1/32*r**4 - 1/280*r**7 - 3/80*r**5 + 3/160*r**6 + 0 + 0*r**3 - 9*r**2 + 0*r. Let q(l) = 0. What is l? 0, 1 Let b be -2 - (-3 + -11 + 0). Suppose -2*w = 4 - b. Factor 3*a**4 + 2*a**3 + 4*a**3 + 2*a**2 + a**w. 2*a**2*(a + 1)*(2*a + 1) Let v(m) be the second derivative of m**9/1008 - m**8/560 - m**7/28
{ "pile_set_name": "DM Mathematics" }
r = -14 - -16. Calculate the greatest common divisor of r and i. 1 Let m(f) = -f**3 - f**2. Let i(o) = 3*o**3 + 2*o**2 + 2*o + 16. Let b(j) = i(j) + 2*m(j). Let g be b(0). What is the greatest common factor of g and 112? 16 Suppose 0 = 15*s - 14*s - 208. Calculate the highest common divisor of 26 and s. 26 Let s = 31 - 20. Let t(w) = -w**2 + 7*w - 1. Let g(u) = -u. Let n(o) = -3*g(o) - t(o). Let j be n(7). Calculate the highest common divisor of s and j. 11 Suppose -114 = -y - y. Suppose -n + 8 = -y. Calculate the greatest common divisor of n and 26. 13 Let y be ((-2)/4 + 0)*0. Let m be 2 - ((-2 - y) + 2). Suppose -5*n = -0*t + t - 68, t - m*n - 96 = 0. Calculate the greatest common factor of t and 11. 11 Let p be 37/5 - 18/(-30). Let l be 70*1/10*p. Suppose -2 = -z + 6. Calculate the greatest common divisor of z and l. 8 Let w(k) = -k - 8. Let o = -28 + 18. Let h be w(o). Let d(q) = -2*q**3 - 2*q**2 + q - 2. Let s be d(-2). What is the highest common factor of h and s? 2 Let r be 0 + -34 + 0/3. Let t = 104 + r. Calculate the highest common factor of t and 14. 14 Let q = 6 + -1. Let a(t) = 5*t - 4. Let j(c) = c**2 - 9*c + 9. Let m(h) = q*a(h) + 2*j(h). Let p be m(-6). What is the highest common divisor of 4 and p? 4 Let d = 15 - 11. Let j be 3/(-12) - (-17)/d. Suppose 2*h + 34 = j*h. What is the highest common factor of h and 68? 17 Suppose -2*g = -z + 1, -4*z + g + 10 = -29. What is the greatest common factor of z and 99? 11 Let c be 108/2 + (-4)/(-2). What is the greatest common divisor of c and 14? 14 Let x(o) = -o**2 - 4*o. Let u be x(-6). Let l be ((-1)/(-2))/((-1)/u). Let g be 4 + 2 + -5 - 141/(-3). What is the greatest common factor of g and l? 6 Suppose 12 = 3*k + k. Let b be 3 - (k + 130)*-1. Suppose 9 = -2*r - 3*l + 55, -r + 9 = -2*l. Calculate the highest common divisor of r and b. 17 Suppose l = 2*p - 2, 2*p - 2 + 0 = 0. Let o(z) = z**3 + z**2 - z + 5. Let h be o(l). Let r = h + 7. Calculate the highest common factor of r and 60. 12 Suppose 3*h = 5*u - 88, 0 = h - 2*h - 5*u + 4. Let d be h/(-1) + 2 + -2. Calculate the highest common factor of 105 and d. 21 Let v(b) = 3*b**3 - b**2 + 4*b - 7. Let n be v(3). Calculate the highest common factor of 11 and n. 11 Let c be (3/3 - -50) + -1. Suppose 0 = 4*x - 29 - 11. Calculate the greatest common divisor of x and c. 10 Suppose 3*c = -2*v + 10, 0 = -2*c + 5*v + 20 + 12. Let q(s) = 4*s + 6. Let k be q(3). Calculate the highest common divisor of c and k. 6 Let a(f) = f**2 - 5*f + 2. Suppose -4*g + g + 4*n + 28 = 0, -g = -2*n - 10. Let k be a(g). Calculate the greatest common divisor of 78 and k. 26 Let c = -23 - -100. Calculate the highest common factor of 11 and c. 11 Suppose 5*y - 168 = -63. Suppose -p = -0*p - 42. What is the highest common divisor of p and y? 21 Let l(j) be the first derivative of 39*j**2/2 - 2*j + 2. Let t be l(4). Calculate the highest common factor of t and 14. 14 Let f(p) = 3*p**2 + 8*p + 13. Let g be f(6). Calculate the highest common divisor of 13 and g. 13 Let l = 200 - 109. What is the highest common divisor of l and 13? 13 Suppose -3*l = y - 15, y + 16 = 5*l - 9. Suppose -39 = l*j - 239. What is the highest common factor of j and 10? 10 Let g = 43 + -73. Let v = 56 + g. Let t = -27 - -92. Calculate the highest common factor of v and t. 13 Let i(v) = -6 + 1 - 4*v + 1. Let u be i(-4). What is the highest common divisor of u and 60? 12 Suppose 4*j + 3*f - 101 = -0*j, -3*j + 107 = -4*f. What is the highest common factor of 87 and j? 29 Let b(x) be the first derivative of 2 - 5*x**2 + 3*x**2 - 10*x + 3*x**2. Let c be b(8). Calculate the greatest common divisor of c and 66. 6 Let c(n) = 4 + 2*n + 3 + 0 - 6. Let j be c(8). What is the highest common factor of 17 and j? 17 Suppose -5*o = -2*w + 6, -5*w + 8 = -2*o - 7. Suppose -32 = w*k - 329. Let f be 2/(-4) + k/6. Calculate the highest common divisor of 64 and f. 16 Let z(u) = -4*u + 2. Let f be z(-4). Let v = 53 + 37. Suppose -3*i - v = -8*i. Calculate the highest common divisor of f and i. 18 Let y(u) = 86*u - 8. Let l be y(2). Calculate the highest common divisor of 41 and l. 41 Suppose 0 = 4*i - 3*x - 41, -x + 4*x - 43 = -2*i. What is the highest common divisor of 14 and i? 14 Let d = -1 - -14. Let a be (-104)/(-10)*(2 + 8). Calculate the greatest common factor of a and d. 13 Suppose 652 = 2*p + 5*c, c + c - 1304 = -4*p. Suppose -70 = 4*z - p. What is the greatest common factor of 8 and z? 8 Let s(a) be the first derivative of -20*a**2 - 3*a - 1. Let p be 5*((-3)/5 + 0). Let l be s(p). What is the greatest common factor of l and 13? 13 Suppose -q - 2 = -3. Suppose -5*g = -3*g - 6. Calculate the greatest common factor of q and g. 1 Let q be 68 - (8/4 - 6). What is the highest common factor of 48 and q? 24 Suppose -n - 807 = 2*n. Let h = -137 - n. Let z be (h/(-16))/(3/(-8)). What is the highest common factor of 2 and z? 2 Suppose -g - 2*g = -84. Let t(b) = -b**2 + 16*b + 22. Let z be t(12). What is the greatest common divisor of z and g? 14 Let u(h) = 2*h**2 + 4*h + 2. Let f be u(-4). What is the highest common divisor of f and 45? 9 Let x = -26 - -50. Calculate the highest common factor of 24 and x. 24 Let c = -7 + 13. Let d be (-3 + 20/c)*18. Calculate the greatest common factor of d and 48. 6 Let s be -2 - (3 + -2 + -2). Let y = -1 - s. Suppose 3*k + y = 9. What is the greatest common factor of k and 33? 3 Let c be 3*-2*(-200)/30. Calculate the greatest common divisor of c and 5. 5 Suppose -92 = -3*h - h + 5*f, 2*h - 52 = 4*f. Let m be (-7)/(1*2/(-36)). Calculate the greatest common divisor of m and h. 18 Suppose u + 43 = j, -8*u = 5*j - 3*u - 175. Let x be ((-39)/4)/(3/(-8)). What is the greatest common divisor of x and j? 13 Suppose 3*l + 15 = 6*l. Suppose 4*d = -2*r + 38 + 90, -5*d = l*r - 170. Calculate the highest common divisor of 10 and d. 10 Let s(d) be the third derivative of -d**6/120 + d**5/12 + d**4/8 - 7*d**3/6 + 2*d**2. Let t be s(5). What is the highest common factor of t and 20? 4 Let i(s) be the second derivative of -s**4/12 + 4*s**3/3 - 5*s**2/2 - s. Let a be i(7). Suppose -4 + 12 = a*x. What is the greatest common divisor of x and 10? 2 Let f(j) = -2*j**3 + j**2 - 1. Let b be f(-1). Let m(k) = -2*k**2 + 125*k + 2*k**3 - 125*k. Let d be m(b). Calculate the highest common divisor of d and 2. 2 Let v(c) = c**2 + 5*c - 6. Let z be v(-6). Let i be (z + 32 - -4)/2. What is the greatest common divisor of 18 and i? 18 Let p(k) = -19*k - 1. Let f be p(-3). What is the greatest common factor of f and 16? 8 Suppose 13*m - 350 = 79. What is the greatest common divisor of m and 6? 3 Let q be (31 - 2) + (-1 - -2). Suppose -d - 4*g = 5, -d + 4*g + 48 - 13 = 0. What is the highest common factor of d and q? 15 Let y(z) be the first derivative of 5*z**3 - 1 + z + 24*z**3 + 3. Let n be y(-1). Calculate the highest common factor of n and 11. 11 Let s(t) = -t**2 + 3*t + 5. Let g be -10*(8/5 + -2). Let h be s(g). What is the greatest common divisor of 1 and h? 1 Let h = -5 - -12. Suppose 0 = -5*y - 2*a - h, 0 = 4*a - 3*a + 1. Let p be (y + 0)/(-1) + 23. Calculate the greatest common factor of p and 8. 8 Suppose 0 = 5*l - 8*z + 3*z - 125, 5*z - 1 = -l. Suppose -s - l = -4*s - 3*n, 5*n = 2*s + 7. Calculate the highest common divisor of s and 32. 4 Let r(i) = 6*i**3 - 3*i**2 - 3*i. Let v be r(3). Let z(n) = -n**3 + 4*n**2 + 2*n - 1. Let q be z(3). Calculate the highest common factor of q and v. 14 Let f(a) = -a**2 - 4*a + 11. Let t be f(-5). What is the highest common factor of 6 and t? 6 Suppose 0 = 2*d + 22 - 78. Calculate the greatest common factor of d and 14. 14 Let l = -10 + 4. Let o = l + 41. What is the highest common factor of 14 and o? 7 Let r be 10/8 + (-4)/16. What is the greatest common divisor of r and 1? 1 Suppose -3 = -4*r + r. Let y = -4 - -5. Suppose k - y = 2. Calculate the greatest common factor of r and k. 1 Let w = 106 + -104. Suppose 0 = 4*z - 362 - 150. Let g be (-2)/7 - z/(-7). Calculate the highest common factor of w and g. 2 Let t(d) = -d**3 + 8*d**2 - 6*d - 3. Let g be t(7). What is the greatest common factor of g and 8? 4 Suppose 4*n + 2 = r + 5, 2*r - 10 = 0. Let b be 0 + (1 - 0) + 3. Calculate the highest common divisor of n and b. 2 Let y(w) = w**3 - 4*w**2 + 9*w + 2. Let f be y(4).
{ "pile_set_name": "DM Mathematics" }
4/3)*i)/(i**(2/51)/i))/(i**12*i*i/i**(6/5)) assuming i is positive. i**(-2849/255) Simplify (s*s**20*s*(s**(-2/19)/s*s)/s)**(-2/35) assuming s is positive. s**(-794/665) Simplify ((y*y/(y/(y**11/y)))/(y/(y*(y/y**(-3))/y)*y))/(y**(2/19)*y/(y/y**(-4))*y) assuming y is positive. y**(302/19) Simplify (((f/((f/f**17)/f))/f)/f**1)/(f**17/f**(-11)) assuming f is positive. f**(-12) Simplify c**(6/13)*c**(-17/3)*(c/(c*(c**(1/19)/c)/c))/c*c*c**(1/13) assuming c is positive. c**(-2357/741) Simplify (u/(u*(u/u**(-1/5))/u)*u/(u**(2/15)*u))**(-1/53) assuming u is positive. u**(1/159) Simplify (k**2*k)/k*k*k**3*k*k**10/k**11 assuming k is positive. k**6 Simplify (x*x**(-2/7))**(9/10)/(((x**0*x*x*x)/x*x)/x*(x*x**18)/x) assuming x is positive. x**(-271/14) Simplify (j/j**(2/25)*j*j**18*j*j)/(j/(j*j**(1/9)*j)*j*j*j*j**(1/11)) assuming j is positive. j**(49352/2475) Simplify (x**(-6/7)/x**(-1/5))/((x*x/(x**(-3/5)*x))/x*x*x**(-1)/x) assuming x is positive. x**(-9/35) Simplify v**9*v**9/v*v*(v**(-10)/v*v*v)/v**0 assuming v is positive. v**9 Simplify ((t*((t/t**(-27))/t)/t)/t**(-14/9))**23 assuming t is positive. t**(5911/9) Simplify (m**(-2))**(2/33)/(m/(m/(m/((m/m**(-2/5))/m)))*m)**(4/33) assuming m is positive. m**(-52/165) Simplify (((u/(u*u*u**(-21)*u*u))/(u/u**(-16)))**(-5/6))**(7/2) assuming u is positive. u**(-35/12) Simplify ((d/(d*d**0))/d)**(-11)/(((d/((d*(d**4*d)/d)/d))/d)/(d/d**(2/3))) assuming d is positive. d**(46/3) Simplify (o**(-16)*o**(-8/11)/o)/(o*o*o/o**(-7/2))**40 assuming o is positive. o**(-3055/11) Simplify ((o/((o/(o**(-15)*o)*o*o)/o))**(2/5))**(12/13) assuming o is positive. o**(-72/13) Simplify ((r/(r**(-2/25)/r))/(r/(r/((((r*r/((r**7/r)/r)*r*r)/r*r*r)/r*r*r)/r))))**(26/7) assuming r is positive. r**(1352/175) Simplify (g/(g/g**18)*g/((g**(-18)/g)/g))/(g**(-1/3)*g)**8 assuming g is positive. g**(101/3) Simplify (y**(-1))**(1/14)/(y**(2/5)/y**(1/9)) assuming y is positive. y**(-227/630) Simplify (f**0/f)**(-8)/(f**(-6)/f**(-2/7)) assuming f is positive. f**(96/7) Simplify (j/((j**(4/7)/j)/j))/j**(-6)*(j**(1/4))**(-29) assuming j is positive. j**(33/28) Simplify i**4/i**(-17)*i/((i*i**(5/7)*i)/i)*i**(-1/4)*i assuming i is positive. i**(589/28) Simplify (((t**(-1))**49)**(-3/37))**(-9/2) assuming t is positive. t**(-1323/74) Simplify w**(-2/7)*w*w*w**(-2/3)*(w/w**12)/w**(-2) assuming w is positive. w**(-167/21) Simplify ((p/(p**(3/7)/p))/p)/p*p/(p**(-1/13)*p)*(p*p**3)/p**(-2/13) assuming p is positive. p**(346/91) Simplify ((a/(a*a**(-3)*a)*a)/a*a*((((a*a/a**(-3))/a)/a)/a*a)/a*a)/(a**(-2))**(-20) assuming a is positive. a**(-34) Simplify (((n*n**(-2/7))**(1/5))**(1/32))**35 assuming n is positive. n**(5/32) Simplify (k**(-2/23))**(1/5)/(k**(1/4))**35 assuming k is positive. k**(-4033/460) Simplify (j**(-5/2)*j**(-2))/(j**(-1/2))**(3/38) assuming j is positive. j**(-339/76) Simplify ((q*q/q**36)/q*q*(q*q/(q*(q*q/(q*q**(-2/17)))/q))/q)**19 assuming q is positive. q**(-11020/17) Simplify ((j/(((j*j/(j/(j*((j/(j*j*j**2))/j*j)/j)))/j)/j))/j*j)**(1/2)/((j*j**(1/3)*j)/((j*(j*j**9)/j*j*j*j)/j)) assuming j is positive. j**(73/6) Simplify (k**(2/3))**44/(k**7*k*k**(2/7)) assuming k is positive. k**(442/21) Simplify ((r**(1/9)/r)/r**(2/7)*((r/r**(1/8))/r)/(r/(r**(-7)*r)))**(1/7) assuming r is positive. r**(-4183/3528) Simplify (c*c**(-2/5))/(c/(c**(7/2)/c))*((c/c**2*c)/c)**(-16) assuming c is positive. c**(181/10) Simplify r**(10/3)/r**(-1/9)*(r/r**(4/7))/(r/(r**13*r)) assuming r is positive. r**(1063/63) Simplify (h*h*h**2*h*h**(1/9)*(h/h**(-1))**16)**49 assuming h is positive. h**(16366/9) Simplify ((k/k**(-8))/k)**(-6/13)*(k/(k*k*k/k**(-2/3)))**(-7/9) assuming k is positive. k**(-568/351) Simplify (d**3/d*d**4)/((d*d/d**(-3)*d)/(d/(d*d**11))) assuming d is positive. d**(-11) Simplify (c**(-1/4))**(-38)/((c/(c/c**6))/(c*(c**1/c)/c)) assuming c is positive. c**(7/2) Simplify (d*(d/d**(-1))/d*d)**20/(d**4)**47 assuming d is positive. d**(-128) Simplify ((t/t**(-2/7))**28*t**(4/11)*t**(1/5))**(-25) assuming t is positive. t**(-10055/11) Simplify (h/h**(-4/5))**(-6/25)*h**4*h**(-26)*h assuming h is positive. h**(-2679/125) Simplify (u/((u/u**(-2/3)*u*u)/u*u)*(u/u**(-11))/u)/(u**(12/5)*u**(-8)) assuming u is positive. u**(209/15) Simplify ((c*c**31*c)/c**(5/8))**(3/10) assuming c is positive. c**(777/80) Simplify (u*u/u**1)/u**(4/7)*(u**(-2))**(3/14) assuming u is positive. 1 Simplify (((s*(s/(s/(s**(1/3)*s*s*s))*s)/s)/((((s**(-5)/s)/s)/s*s)/s))**(-39))**(-2/89) assuming s is positive. s**(962/89) Simplify (p/(p**(1/5)*p)*p*p**(1/10)*p)/(p*p**(3/4)*p*(p**2/p*p)/p) assuming p is positive. p**(-37/20) Simplify ((d/d**1)**(-43)/(d**(-2)*d**(-1/7)))**(-3/13) assuming d is positive. d**(-45/91) Simplify (b**21*(b*(b*b**43)/b)/b)**(-45) assuming b is positive. b**(-2880) Simplify (h*h**(2/13)*h)**(2/97)/(((h/h**21)/h)/((h/((h/h**(2/7))/h))/h)) assuming h is positive. h**(188281/8827) Simplify (t*t*((t/t**(-12))/t)/t)**8/(t*t**4)**(-37) assuming t is positive. t**289 Simplify (z**(-4)/(z/(z/(z**(-6)/z))))/(z**4)**12 assuming z is positive. z**(-45) Simplify ((s*s**2)/s)**24*(s**2)**(-40) assuming s is positive. s**(-32) Simplify p**(-4)*p*p**(-4/11)*p*(p*p**(-8/5)*p)/p*p*p*(p/(p*p**(-2/7)))/p assuming p is positive. p**(-646/385) Simplify o**16*o**(-8)*(o/(o*o*o**5))**(-2/15) assuming o is positive. o**(44/5) Simplify k**(3/20)*k**5*(k**(3/17)*k)**45 assuming k is positive. k**(19751/340) Simplify (d**(-2/7)*d)**(-1/58)*d**(-16)*d**(4/9) assuming d is positive. d**(-56885/3654) Simplify ((g/g**9)/((g*g/g**(-21))/g*g))/(g**(-3/20)/g**(-10)) assuming g is positive. g**(-817/20) Simplify ((y*(y*((y**(3/2)*y)/y)/y*y)/y*y*y*y*(y/((y**(1/2)/y*y)/y*y))/y)/(y**(-3)/((y**6/y)/y)))**(-4) assuming y is positive. y**(-48) Simplify (((c/(c/(c*c**15)))/((((c*c*c**(-15))/c*c)/c*c)/c))**(8/13))**(5/11) assuming c is positive. c**(1200/143) Simplify ((m**(-12)/m)/((m*m**(-31)/m)/m))**(1/24) assuming m is positive. m**(19/24) Simplify y*y/y**(-9)*y**(-2/45)*y*y*(y/y**(-13))/y*y/y**(-13) assuming y is positive. y**(1798/45) Simplify (h**7/(h/(h**(-2)*h*h))*(h*h**8)/h**2)**(-10) assuming h is positive. h**(-130) Simplify (j/(j*j**(-4/3)))**(2/45)*((j/(j**(-5/7)*j*j))/j*j)/((j/(j*j**(8/7)*j))/j) assuming j is positive. j**(2756/945) Simplify (h/(h/h**(-2/7)))/h**32*h*h**29*h/((h/(h**(-16)/h*h*h))/h) assuming h is positive. h**(-114/7) Simplify k**27/(k*k**(-5/4))*k**0/(k/k**1) assuming k is positive. k**(109/4) Simplify g**11/(g**(2/17)/g)*(g*g**7)**2 assuming g is positive. g**(474/17) Simplify (((m/(m*m/m**(-1)))/(m*m**(1/3)/m))/(m/m**(1/2))**(-12))**26 assuming m is positive. m**(286/3) Simplify (((c**(3/13)/c)/(c*c/c**(-10)))**(-14/3))**(2/143) assuming c is positive. c**(4648/5577) Simplify (q**5*q/q**(1/5)*q**(-8)/q**6)**(-19) assuming q is positive. q**(779/5) Simplify ((r**(-2/9)/r**(-7))**(-44))**(-37) assuming r is positive. r**(99308/9) Simplify (n**(-1/7))**(-16)*(n*n**7)/n*n/(n/n**(2/99)) assuming n is positive. n**(6449/693) Simplify (f*f**(-5)*f*f)**(-48)*(f*f**(-8))/f**8 assuming f is positive. f**81 Simplify (n/(n/(n**(-4)/n)))**14/(n/(n/(((n*n**4)/n)/n*n))*n**(-3/5)/n) assuming n is positive. n**(-362/5) Simplify (k/k**(-3/5)*k*(k/(k/(k**8*k*k)*k))/k*(k**(1/2)/k)**(-5/18))**(-2/51) assuming k is positive. k**(-1933/4590) Simplify ((x*x/(x/x**(1/16)))/x*x/((x**(-9/7)/x)/x))/(x**(-20)*x**(1/5)) assuming x is positive. x**(13523/560) Simplify z**(-4/5)/z**(-2/3)*z**(-8)/z*(z/(z**(3/4)*z))/z assuming z is positive. z**(-653/60) Simplify (q/(q*q/(q/(q/(q*q**(-8/9)*q)))))/(q**(-4/9)/q)*q*(q*(q*q/(q/(q*q/q**(2/5)*q)*q)*q*q)/q)/q*q**(-1) assuming q is positive. q**(232/45) Simplify (v/v**(14/3)*v**14)**38 assuming v is positive. v**(1178/3) Simplify ((u**(10/3)*u*u*u)/u*u*u)/(u/((u/(u**(-20)/u)*u)/u))*u**23/(u/u**(-10/11)) assuming u is positive. u**(1631/33) Simplify (u**(-10)*u/u**9)/(u**(-1/3))**(-48) assuming u is positive. u**(-34) Simplify (b/(b/b**(1/5)))**17/(b*b/(b**(-7)*b*b))**(-3/4) assuming b is positive. b**(173/20) Simplify (f**(3/8)*f)/(f/(f*f/((f**18*f*f)/f))*f)*(f*f**(-19/2))/(f*f/f**(4/5)) assuming f is positive. f**(-1093/40) Simplify (((s/s**(-1)*s*s)/s*s*(s/((s/(s/s**(-2/9)))/s*s)*s*s)/s)/(s/(s/(s**(-4/5)/s))*s**(-5/3)/s*s))**11 assuming s is pos
{ "pile_set_name": "DM Mathematics" }
ded by -5567 -224/5567 What is 3136 divided by 16? 196 Divide 339647 by -7. -48521 Calculate 1340312 divided by -335078. -4 Calculate -3899 divided by 35. -557/5 -757 divided by 183 -757/183 Calculate -557928 divided by 4. -139482 -5 divided by -1143 5/1143 What is -354 divided by -9113? 354/9113 -1957500 divided by -125 15660 Calculate 2709 divided by 63. 43 487986 divided by 3 162662 Calculate -121155 divided by -615. 197 -6380402 divided by 455743 -14 Calculate 0 divided by 39821. 0 What is 176 divided by -2079? -16/189 Calculate 319195 divided by 63839. 5 Divide 52934 by -19. -2786 What is 5 divided by 625043? 5/625043 Divide 12440 by 20. 622 -230859 divided by 339 -681 Divide 303240 by -2166. -140 450500 divided by 22525 20 What is -96030 divided by -96030? 1 Calculate -3 divided by 1881. -1/627 What is 0 divided by 3926? 0 What is 518606 divided by 4286? 121 Calculate 5 divided by 24153. 5/24153 Calculate 858936 divided by -4. -214734 Calculate -36095 divided by 16. -36095/16 -5026 divided by -359 14 74 divided by 4406 37/2203 -322731 divided by -3 107577 -226545 divided by 20595 -11 Divide -333394 by -4. 166697/2 Calculate -18 divided by -3041. 18/3041 600840 divided by -180 -3338 Calculate -84145 divided by -3. 84145/3 Calculate -2032828 divided by -316. 6433 Calculate 58374 divided by 6486. 9 -10668 divided by 84 -127 What is 3 divided by 37114? 3/37114 Calculate -202662 divided by 729. -278 Divide -454216 by 4. -113554 Calculate -491643 divided by -131. 3753 Divide -228928 by -49. 4672 Divide 5 by 77896. 5/77896 -2683 divided by 47 -2683/47 Divide -25860 by -8620. 3 What is 542232 divided by -5316? -102 What is 2246199 divided by -19? -118221 Divide 109824 by -22. -4992 Calculate -130845 divided by 183. -715 Calculate -695 divided by -348. 695/348 -705431 divided by -705431 1 Divide 1 by -1789945. -1/1789945 Divide -68335 by 4. -68335/4 What is -1681 divided by -41? 41 Calculate -79372 divided by -19843. 4 Calculate 4 divided by -9265. -4/9265 5 divided by -17642 -5/17642 31048 divided by 5 31048/5 What is -408 divided by 1110? -68/185 What is -357 divided by 270? -119/90 Calculate 928 divided by -60. -232/15 Calculate -644205 divided by 128841. -5 Divide -989638 by 13. -76126 Calculate -2745 divided by -188. 2745/188 Calculate -4894 divided by 1. -4894 What is 148 divided by -6358? -74/3179 Calculate -3 divided by -29456. 3/29456 Divide 36712 by -18356. -2 What is 171 divided by -19451? -171/19451 Calculate 3 divided by 279966. 1/93322 Calculate 5206144 divided by -325384. -16 Divide 4 by -109723. -4/109723 What is -6630312 divided by -27976? 237 Calculate -1640241 divided by 93. -17637 What is 5678 divided by -10? -2839/5 Calculate 144 divided by 8. 18 -136281 divided by 3 -45427 -386892 divided by -3 128964 What is -470136 divided by -57? 8248 What is 32 divided by -831? -32/831 57620 divided by 28810 2 Divide 1681236 by -12. -140103 -1913647 divided by 1 -1913647 What is 422027 divided by -1? -422027 Calculate -126046 divided by -38. 3317 What is 563200 divided by 1280? 440 Calculate -24 divided by 5017. -24/5017 Calculate -631349 divided by -1. 631349 Divide 484 by -2185. -484/2185 What is 4 divided by -49196? -1/12299 Calculate -4912116 divided by -2388. 2057 Calculate -7811 divided by -3. 7811/3 Divide -509 by 4. -509/4 What is -66789 divided by -23? 66789/23 4 divided by -48521 -4/48521 Divide 175408 by 8. 21926 What is -1768500 divided by 2700? -655 Divide 437128 by 109282. 4 Calculate -141740 divided by -10. 14174 What is -6 divided by 59237? -6/59237 Divide -4 by 373247. -4/373247 Divide -12 by 16345. -12/16345 Calculate -3 divided by -56502. 1/18834 Divide -496 by 31. -16 Calculate -158367 divided by -52789. 3 What is -104 divided by 17? -104/17 1380162 divided by 3 460054 What is -10839 divided by -6? 3613/2 Calculate 1920 divided by 2. 960 What is -75448 divided by 8? -9431 Divide -682095 by -227365. 3 Calculate 2 divided by 63509. 2/63509 0 divided by -351544 0 Calculate -27 divided by -441. 3/49 Divide -25382 by -7. 3626 What is 276131 divided by -37? -7463 Divide 117 by 215. 117/215 What is 52734 divided by -3? -17578 Calculate -3 divided by -13093. 3/13093 Divide -253487 by -221. 1147 Calculate -69 divided by -2905. 69/2905 -580 divided by 151 -580/151 Calculate 6877866 divided by -6. -1146311 2754 divided by 27 102 -86904 divided by 7242 -12 Divide -10280 by 1. -10280 What is 242 divided by 9293? 242/9293 Divide 271 by 236. 271/236 What is -1312 divided by -9? 1312/9 Calculate -13874 divided by -3. 13874/3 Divide -1201192 by -600596. 2 What is 317682 divided by 37? 8586 Divide 4 by -77221. -4/77221 128 divided by -1556 -32/389 Calculate -92 divided by 675. -92/675 Calculate 768227 divided by -8. -768227/8 -239 divided by 2543 -239/2543 What is 418044 divided by 12668? 33 Calculate 929 divided by 7. 929/7 12295456 divided by -4 -3073864 13 divided by 7048 13/7048 What is -190623 divided by 63541? -3 4 divided by -19628 -1/4907 298 divided by -4348 -149/2174 Calculate -155752 divided by -2. 77876 -45019 divided by 5 -45019/5 Divide 1462 by -4303. -1462/4303 Calculate 5 divided by -114702. -5/114702 Divide 4 by -16218. -2/8109 What is -80 divided by -28113? 80/28113 38700 divided by 2580 15 Calculate -27354 divided by 194. -141 What is -107004 divided by 8917? -12 Calculate -129360 divided by 770. -168 Divide 902820 by -180564. -5 What is 20590 divided by 13? 20590/13 Divide -374 by -381. 374/381 Divide -7768705 by -7. 1109815 Calculate 132400 divided by -10. -13240 18032 divided by 184 98 -1 divided by -353637 1/353637 What is 4428112 divided by 4? 1107028 Divide 28215 by -5. -5643 What is 4 divided by -12770? -2/6385 What is -5257788 divided by 6? -876298 Divide -2619 by -47. 2619/47 2241960 divided by -4 -560490 What is 180372 divided by 6? 30062 Calculate -389 divided by -142. 389/142 1059832 divided by 529916 2 -163 divided by 4205 -163/4205 -492 divided by 328 -3/2 Divide -2370 by -130. 237/13 Calculate -3182972 divided by -61211. 52 Calculate 23157 divided by -1. -23157 -1652460 divided by 5 -330492 Calculate 43 divided by 2002. 43/2002 What is -683 divided by -862? 683/862 What is -5 divided by 18868? -5/18868 What is 0 divided by 462059? 0 -14550 divided by -2910 5 Divide 405 by -9. -45 Calculate -1674948 divided by 22. -76134 Calculate -9191 divided by 101. -91 27 divided by -4601 -27/4601 Divide -3 by 9033. -1/3011 Divide 179640 by 18. 9980 15184 divided by 13 1168 Divide 247190 by -6505. -38 Divide 1834182 by -131013. -14 Calculate 96089 divided by -4. -96089/4 Divide 3891710 by 4. 1945855/2 Calculate 4320 divided by 360. 12 Divide -253 by -5729. 253/5729 Calculate -12879 divided by 12879. -1 What is 0 divided by 2944? 0 Calculate 65704 divided by -86. -764 24592 divided by 6148 4 -129778 divided by -11 11798 Calculate 17328 divided by 5. 17328/5 65059 divided by 17 3827 Divide 35 by -735. -1/21 Calculate -5 divided by 111137. -5/111137 Divide -644636 by 4. -161159 Calculate -7 divided by -4462. 7/4462 Calculate 212 divided by 358. 106/179 What is 103 divided by -653? -103/653 -360 divided by -42 60/7 What is -26139 divided by -3? 8713 What is -297633 divided by -14173? 21 Calculate 779 divided by -2. -779/2 Divide 240720 by -3. -80240 What is -6743 divided by 32? -6743/32 Divide 284175 by -56835. -5 253380 divided by -6180 -41 Calculate -1801410 divided by 11622. -155 What is -2883 divided by -25? 2883/25 29898 divided by 453 66 What is -762795 divided by -1541? 495 What is -1578 divided by 2481? -526/827 Calculate -563960 divided by 140990. -4 664274 divided by 51098 13 Divide 2 by 41797. 2/41797 What is 48074 divided by 3698? 13 Calculate 2915721 divided by -971907. -3 Calculate -78 divided by 5234. -39/2617 What is -2587 divided by -74? 2587/74 Divide 2 by -161903. -2/161903 What is 3 divided by 6833? 3/6833 Calculate 0 divided by -31568. 0 -6085615 divided by -5 1217123 8128 divided by -4064 -2 Divide 4 by 262190. 2/131095 Divide -192898 by 43. -4486 Divide -2793 by -18. 931/6 Calculate 74 divided by -894. -37/447 What is 1210964 divided by 9244? 131 6216 divided by -37 -168 231519 divided by -5 -231519/5 Divide 12536 by -99. -12536/99 42692 divided by 3 42692/3 7 divided by -7842 -7/7842 Calcula
{ "pile_set_name": "DM Mathematics" }
3 + -0.7. Let q = -0.99 - -0.89. Which is the closest to q? (a) -0.1 (b) -4/5 (c) v a Let g be (-1)/(9/34) - -4. Let b = 4.6 + 0.4. Let r = 0 - 0.1. What is the nearest to r in -3, b, g? g Let n be (-3)/(-15) + 3/(-3). Let v = -0.22 - -0.22. What is the closest to -2/7 in n, 1/4, v? v Let j = -3 + 2. Let p = -1.5 + 2. Let o = 38/3 - 13. Which is the nearest to 1? (a) o (b) p (c) j b Let g = -0.9 - -0.9. Let y = -4 - -13/3. What is the closest to g in -3, y, -0.3? -0.3 Let f = -13.2 + 13.3. What is the closest to -1/7 in -3, f, 0? 0 Let m = 19 + -15. Which is the nearest to 0? (a) -2/7 (b) m (c) -3 a Let u = -5.6 - -5. Let b = 1 + u. Let j = b + -0.3. What is the closest to j in 3, -1/12, 0.5? -1/12 Let k(y) = -y**3 + 2*y**2 + 2. Let u be k(-2). Let g be (-3)/u*(-4 + 1). Let d = -0.3 + 0.5. Which is the closest to -1/4? (a) g (b) d (c) -4 b Let i = 10 - 8. What is the closest to -1 in 0.3, i, 4? 0.3 Let h(d) = -3*d**2 + 4*d**2 + 0*d**2 - 6*d. Let f be h(6). Let i = -0.07 - 4.93. Which is the nearest to f? (a) i (b) 0.5 (c) 0.3 c Let u(l) = -l**2 + 4*l + 7. Let d be u(5). Let a = 0.03 - 0.63. Let k = -0.7 - a. What is the closest to d in k, 2/11, 4? 2/11 Let x be 1 - 1 - (-11)/22. What is the closest to 1/2 in x, -5, -3? x Let z = -11 + 13. What is the nearest to z in 1, -3/7, -3? 1 Let c(k) = 6*k - 48. Let s be c(8). What is the closest to s in 3, -7, 0? 0 Suppose -17 + 1 = 4*m + 4*o, 0 = -2*m - 5*o - 23. Let s = -1 + 1.5. Let x = -180 + 180.1. What is the nearest to x in s, -1, m? s Let a = 1.6 - 0.6. Let k = a - 0.9. What is the nearest to k in -0.4, 1/2, 4? 1/2 Let a = 43.1 + -43. What is the closest to a in -4, 4, -0.1? -0.1 Let p(n) = 5*n**3 + 2*n**2 + 2*n + 1. Let m be p(-1). Which is the closest to 1? (a) m (b) 0.2 (c) -5 b Let z be (1/3)/(4/(1 - 61)). Which is the nearest to z? (a) 2/3 (b) -0.06 (c) 2 b Let v be 26 - ((-2)/4 + 0). Let w = v + -25. Let g = 1.9 + -2. Which is the closest to g? (a) 1/4 (b) w (c) -6 a Let b be 14/(-2)*1/55. Let q = b - 3/11. Suppose 4*f = -12, 3*f - f + 10 = 2*r. What is the closest to q in r, 1/4, -3/8? -3/8 Suppose -g - 9 - 2 = -4*o, 2*o - 33 = -5*g. Suppose -3*f = 7 + 8. What is the closest to 0.1 in g, -0.1, f? -0.1 Let k = 0.5 + -0.7. Suppose -14 = -3*c - 5*p + 10, 2*c - 2*p = 0. Suppose q + 2*q = c*i - 3, i + 9 = -4*q. What is the nearest to i in 1/3, k, 6/7? k Let n be 3/1*(-54)/(-729). What is the closest to -1 in n, 5, -11? n Let t = 12 - 12.4. Which is the nearest to 1? (a) 2 (b) -2 (c) t a Let v be -1*1*(-2)/12. Let w = v - -7/3. Which is the nearest to 0.1? (a) w (b) -4 (c) 1 c Let q = -0.3 + 0.1. Let o = -0.2 + 0. Let i = 0.3 + o. What is the nearest to i in 0.1, 4, q? 0.1 Let k = 48 + -49. Which is the nearest to k? (a) 5 (b) -3/5 (c) 1/3 b Let j(x) = x**3 + 6*x**2 + 3*x - 7. Let g be j(-5). Let h be 14/10 + (1 - 2). Let q be 2/((-13 - 2)/3). Which is the nearest to q? (a) -0.2 (b) h (c) g a Let d = -33 - -28. What is the closest to 3 in d, -2, 0.3? 0.3 Let d = -0.26 + 0.23. What is the closest to -0.2 in 5, d, 4/7? d Let k = -100 - -100.1. What is the closest to 2/3 in k, 0, -0.4? k Suppose 0 = -7*r + 2*r - 15. Let k = -226/115 + 36/23. Which is the nearest to r? (a) 5 (b) k (c) -1 c Let t = 13/15 - 4/15. Suppose z = 11 - 7. Let f be -6*1/z*-2. What is the nearest to -1/4 in f, t, 2/11? 2/11 Let v = -1.6 + 5. Let r = v + -3. Let y = r + 0.6. What is the nearest to -0.2 in 0, y, -0.5? 0 Suppose -2*i - 3*w = -12, i + 2*w = 3*i + 8. Which is the nearest to 2/11? (a) 1 (b) i (c) -3 b Let u = 36 + -36. Which is the nearest to 0? (a) u (b) -5/4 (c) 13 a Let r be 2/(-20)*-2*1. Let v = 143 - 142.8. Let t = 219 - 1529/7. Which is the closest to v? (a) t (b) -0.4 (c) r c Let k be ((-6)/3)/(1 - 8). Let q = -241/4 - -60. Let j = -2.2 + 2. Which is the closest to k? (a) q (b) j (c) -2/11 c Let o = 28 - 27. Which is the closest to o? (a) 0.5 (b) 0.3 (c) -3 a Let k be 3/2 - (-9)/6. Which is the nearest to 1? (a) -0.5 (b) k (c) -0.2 c Let j = -1 - 0. Let h = j - -1. Let u = -7.6 - -7.5. Which is the closest to h? (a) 0.4 (b) u (c) -2 b Let w be ((-4)/3)/((-10)/15). Which is the nearest to 2? (a) 0 (b) w (c) 2/13 b Let w be 1 + -1*6/8. Which is the closest to -10? (a) -3 (b) 1/2 (c) w a Let x = 0.55 + -0.05. Let y = 0.4 - x. Which is the nearest to y? (a) 0.5 (b) -4 (c) -1/4 c Let k = -35 + 38. Which is the closest to 1? (a) k (b) 0 (c) 10/7 c Let z = -13 - -12.8. Which is the closest to 0? (a) -1/7 (b) -5 (c) z a Let q = -72 + 68. Let p = 0 - -0.4. Let t = 70/261 + -4/87. Which is the closest to t? (a) q (b) -0.3 (c) p c Let u = 3.91 - -1.09. Which is the closest to 2/3? (a) 1/4 (b) -6/49 (c) u a Let r be 2*((-3)/5 + 10/50). Let m = -0.3 + 0.4. What is the nearest to 0 in 3/2, r, m? m Suppose 0 = -3*o + u - 0*u + 4, -2*u + 2 = 4*o. Suppose o = q + 2. Let g(w) = w**2 - 5*w - 5. Let j be g(6). What is the closest to j in q, -1/6, 0.2? 0.2 Let i = 1.14 - 0.14. Let k = 2 + -4. Let v = 0.1 + -0.6. Which is the closest to k? (a) -1 (b) i (c) v a Let o(u) = -u**2 - 3*u - 5. Let r be o(-2). What is the nearest to 0.1 in r, -11, 0.4? 0.4 Let r = -3272 - -3286.11. Let i = -14 + r. Let a = -0.01 + i. What is the closest to a in 1, -3/2, -2? 1 Let o = -9 - -4. Let t = 0.3 - 0. What is the closest to -0.1 in 2/11, t, o? 2/11 Let q = -4.4 + 4. Let z = q + 0.7. Let b = 0.1 - z. What is the nearest to 0 in -2, b, 1/10? 1/10 Let n be (-4)/(-6)*126/28. What is the nearest to 1 in 0.3, n, -4/7? 0.3 Suppose d = -3*n - 9, -3*d + 0*d = -5*n - 29. Let m be 54/(-16) - (d + -6). Let i = 2.9 + -3. What is the closest to i in 0.4, 5, m? m Let k = 0.021 + -2.121. Let w = 2.07 + k. What is the closest to w in 0.2, -5, 0? 0 Let g = 6.9 - 7. Let a = -11 - -10. What is the closest to a in -1, g, -5? -1 Let f be (-1)/(-3) + (-10)/66. What is the closest to f in 0.1, 0, 2/7? 0.1 Let v = 1 + -2. Let l = v - -2. Suppose 4*g - 5*n - 32 = 0, n = -0*n - 4. Which is the nearest to l? (a) 0.3 (b) 4/5 (c) g b Let h = 121/3 - 40. Let a = 0 + 0.1. Let i = -0.9 - a. What is the closest to i in 4/3, -2, h? -2 Let g = 1/124 + 241/868. Let u be 2 - 6*(-5)/(-15). What is the closest to -2 in u, -0.1, g? -0.1 Let h(l) = l**2 + 2*l + 3. Let p be h(-3). Let d = p - 13/2. Let v = 0.08 + -0.48. What is the closest to d in -1/5, -2/7, v? v Let c = 20.34 + 0.16. Let z = -20 + c. What is the closest to -1 in 1, 1/3, z? 1/3 Let o(t) = -t**2 - 7*t - 9. Let l be o(-7). Let n = l - -8. Which is the closest to -1/4? (a) n (b) 0 (c) 3/2 b Let v = 3.7 + 0.3. Which is the nearest to 2/59? (a) v (b) 3 (c) -1 c Let x = 27 - 45. Let y be (2 - 1) + 14/x. Let s be 4/10 + 35/(-25). What is the nearest to s in y, 4, 4/7? y Let z(y) = 21*y**2 - 2*y - 2. Let v be z(2). Let w = -159/2 + v. Let a = -0.1 + 0.3. What is the nearest to -2/3 in a, w, -1? -1 Let y = 9 - 6. Which is the closest to 0? (a) y (b) 1/2 (c) 0.3 c Let q = 5.6 - 2.6. Which is the nearest to -2? (a) -3 (b) q (c) -0.2 a Let a(h) = 3*h - 8. Let l be a(2). Let r = -95 + 477/5. What is the closest to l in 0.1, -1/2, r? -1/2 Suppose 5 + 1 = 6*i. Which is the nearest to -0.2? (a) i (b) 0 (c) -3/2 b Let w be (-69)/21 + (-6)/(-2). Let j be 1 + 1*(2 - 2). What is the closest to j in 3, w, -2/5? w Let p = -2 - -1. Let s = 1.02 + -0.02. What is the closest to p in 0.1, -4/3, s? -4/3 Let x = 3 - 3. Suppose 4*w - 9 + 25 = 0. Let m = -1 - -1. What is the nearest to m in w, -5, x? x Let z = -0.3 - -1.5. Let m = 0.7 - z. Let n = 0.3 + -1.3. Which is the closest to -2? (a) m (b) n (c) 3 b Let z = -75 + 78. Which is the closest to z? (a) -9 (b) -5 (c) -2/3 c Let s(t) = -t. Let f = 18 - 19. Let h be s(f). Which is the closest to 1/4? (a) -5 (b) h (c) 2/5 c Let y(w) = 3*w**3 + w. Let t be y(1). Let j be (-7 + 7)/(2/2). Let z = -5.4 - -5. What is the nearest to j in t, z, 1/4? 1/4 Let l = 9.6 - 5.6. Which is the nearest to 0.2? (a) l (b) -5 (c) -0.4 c Let n = 2.7 + 0.3. What is the nearest to 1/3 in n, 1/5, 5? 1/5 Let v be 20/(-30)*((-6)/5)/(-6). Let p = -1 - -1. Which is the nearest to p? (a) 0 (b) 1 (c) v a Let k be (-4)/(-2) - (-74)/(-36). Let r = k - -43/126. Let v = 6 - 11. What is the closest to -2/3 in 2, r,
{ "pile_set_name": "DM Mathematics" }
ime factors of (-3)/((-154)/51 + 3)? 3, 17 Let h(z) = -z**3 - 2*z**2 + 2*z + 2. Let s be h(2). What are the prime factors of (-4)/s - 369/(-15)? 5 Suppose -2*b = 8, -2*c + 5*b - 31 = -3*c. What are the prime factors of c? 3, 17 Let w = 1 + -45. Let j = -24 - w. What are the prime factors of j? 2, 5 Let c = 12 + -10. Suppose 4*s + 51 = x, -2*s = -4*x + c*s + 156. What are the prime factors of x? 5, 7 Let r = -31 - -50. What are the prime factors of r? 19 Suppose 3*z + 5 - 14 = 0. Let i = 7 - z. List the prime factors of i. 2 Suppose -4*q + 48 = 4*j, -q = -5*q - 12. Suppose -2*a = -5*h - 73, a - j = 4*h + 26. List the prime factors of a. 29 What are the prime factors of (3 - 7/(-2))/(1/12)? 2, 3, 13 Let u = -4 - -4. Let g(q) = 6 - q**2 - 7*q + u - 2. What are the prime factors of g(-6)? 2, 5 Let t = -16 - -31. Suppose -2*c - c = -t, 95 = 5*x - 5*c. What are the prime factors of x? 2, 3 Let o = 311 - 93. What are the prime factors of o? 2, 109 Suppose 4*f + 11 = 3*b, 5*b = 4*f - 7*f + 28. Let y(c) = -c**2 + 11*c - 5. Let o be y(10). Let h = o + b. List the prime factors of h. 2, 5 Suppose -4*m + 2*x + 2*x = 0, -4*m - x + 10 = 0. List the prime factors of m. 2 Suppose 5*k - 230 = 5*x, -k - 4*x = -2*x - 34. What are the prime factors of k? 2, 3, 7 Suppose 16 = 4*r - 0*r. Suppose -3*s - 44 = -r*u - 0*s, -3*s = 4*u - 20. Suppose 1 = k - 2*f - 7, -u = -4*f. List the prime factors of k. 2, 3 Let z = 195 - 45. List the prime factors of z. 2, 3, 5 Suppose -5*r + 2*r = -81. What are the prime factors of r? 3 Suppose 5*l + 101 = z, -4*l = -4*z + 204 + 136. Suppose z = 4*t + 5*d - 10, 0 = -2*t - 4*d + 50. List the prime factors of t. 19 What are the prime factors of (-1)/(4/124*-1)? 31 Let r be ((-14)/(-5))/((-5)/25). Let u = r + 23. What are the prime factors of u? 3 Let y be 6/21 - (-498)/21. Let r = -12 + y. What are the prime factors of r? 2, 3 List the prime factors of 4/10 - (-369)/15. 5 Let a(l) = l - 2. Let h be a(5). Let s(b) = 14*b - 9. Let d(p) = -3*p + 2. Let n(f) = -11*d(f) - 2*s(f). What are the prime factors of n(h)? 11 Let z = 35 - 10. Suppose z = 4*g + g. Suppose g*b = 17 - 7. What are the prime factors of b? 2 Let z be (-300)/(-16) + 2/8. Suppose 0 = -5*r + z + 21. Let m = 15 - r. List the prime factors of m. 7 Let n(m) = m + 12. List the prime factors of n(8). 2, 5 Let h(a) = a**2 - 9. Let i be h(0). Let o = 18 + i. What are the prime factors of o? 3 Let h = -29 + 17. Let u = 11 - h. List the prime factors of u. 23 Let q(j) = 2*j**3 + 2*j - 3. List the prime factors of q(2). 17 Suppose -2*f = -0*f - 6. Suppose -2*c + 4*c - f*k = 40, -3*c = 2*k - 47. List the prime factors of c. 17 Suppose -100 = f + 4*f - 2*i, -5*i = 0. List the prime factors of (f - 2)*(-2 - -1). 2, 11 Let a(s) = s**3 - 7*s**2 + 5*s - 9. Let w be a(6). Let b = w - -22. What are the prime factors of b + -2 + -1 + 2? 2, 3 Let c(q) = -2*q + 1. Let z be c(3). Let s be ((-8)/4 + 5)/(-1). Let v = s - z. List the prime factors of v. 2 Let p(j) = -j**2 + 2*j + 7. Let s be p(7). Let b = 85 + s. Suppose 0 = 2*w + w - b. What are the prime factors of w? 19 List the prime factors of 3/4 - 2508/(-48). 53 Let g = -4 + 2. Let c be -1*g/(-4)*-4. Suppose v + 4*i = -0*i + 19, -8 = -c*v + 2*i. List the prime factors of v. 7 Let q(p) = 13*p - 6. What are the prime factors of q(2)? 2, 5 What are the prime factors of (-114)/(-3) - (3 - 5)? 2, 5 Suppose 5*k - 550 = 260. What are the prime factors of k? 2, 3 Suppose -5*a - 5 = -d + 4, -5*d = 3*a + 11. List the prime factors of 2 - -1*(-4)/a. 2 Suppose 4*p - v - 22 = 3*p, 5*v = 3*p - 64. What are the prime factors of p? 23 Suppose 2*k + 4 = 34. List the prime factors of k. 3, 5 Let l = 7 + 2. Suppose -2*j - 36 = -4*j. Let z = j - l. What are the prime factors of z? 3 Suppose -6*x + 2*x = 4. Let v be 2/(2*x/8). Let i(t) = t**2 + 8*t + 11. What are the prime factors of i(v)? 11 Suppose -2*z - 1340 = -5*v, 2*v + 2*v - 4*z - 1084 = 0. List the prime factors of v. 2, 7, 19 Let t = 7 - 7. What are the prime factors of 34 + -2 + (t - -1)? 3, 11 Suppose 0 = -f + 3 + 2, 2*c - 53 = -f. Let j = 12 - -5. Let r = c - j. What are the prime factors of r? 7 Suppose 2*b - 7*b = -495. What are the prime factors of b? 3, 11 Let m(h) = 8*h - 1. Let q be m(6). Suppose 4*z + 3*f = 110, 4 = 3*f - 2. Suppose t + z = 5*i - q, 5*i = -t + 67. List the prime factors of i. 2, 7 Let l(a) = -5*a**3 + 6*a**2 - 11*a - 1. Let j(m) = 4*m**3 - 7*m**2 + 10*m + 1. Let x(h) = -4*j(h) - 3*l(h). List the prime factors of x(9). 17 Let d = 238 + -143. What are the prime factors of d? 5, 19 Let s(j) = -2*j**3 + 4*j - 3 + 3*j**2 + 0*j**3 - 1. Let y be s(3). Let p = y - -29. What are the prime factors of p? 2, 5 Let w = -69 - -191. List the prime factors of w. 2, 61 Suppose 3*g + 6 = -3*r, 3*g + 4 = -r - 0*g. Let w(k) = -3*k**3 + k**2 + 2*k + 1. Let d be w(r). Suppose 0 = d*o - 3 - 15. What are the prime factors of o? 2, 3 List the prime factors of 4 + 260/5 - 1. 5, 11 Let t = 7 + -9. Let c(a) = -801*a - 2. Let l be c(t). What are the prime factors of l/72 + (-4)/18? 2, 11 Suppose 6*g + 80 = 362. What are the prime factors of g? 47 Let l = -2 - -6. Suppose -2 = l*f - 34. List the prime factors of f. 2 Let n(w) = w**2 + 2*w. Suppose 0 = -4*d + 3*d + 2. What are the prime factors of n(d)? 2 Let o(j) = 1 - 4*j + 2*j + j. Let q = -9 - -7. List the prime factors of o(q). 3 Let o(a) = -15*a + 69. What are the prime factors of o(-11)? 2, 3, 13 Let n be (-74)/((-3)/9*2). Suppose -3*t + n - 15 = 0. What are the prime factors of t? 2 Let g(x) = x**3 + 4*x**2 + 2*x + 5. Let l be g(-4). What are the prime factors of l - (-3 - 3) - -3? 2, 3 Suppose c - 5*n = 24, 3*c - 24 = n - 8. Suppose 0 = 5*b + c*f - 71, -b - 2*f - 3*f = -10. List the prime factors of b. 3, 5 Let i(x) = x**3 + 7*x**2 - 2*x + 6. Let k be i(-7). Suppose -k = 4*g - 56. Let q(u) = 2*u - 13. List the prime factors of q(g). 5 Let q(u) = -u**2 + 3. Suppose 0*p + 26 = 5*y + 4*p, -8 = 4*y - 4*p. Let b = -2 + y. What are the prime factors of q(b)? 3 Let n = -8 - -4. Let d = n + 6. Suppose -d*b - 6 = 0, 2 = 4*p + 3*b - 9. What are the prime factors of p? 5 Let h(z) = z - 4. Let k be h(8). Suppose k*d = -5*v + 2, 0 = 4*v - 6*v - 4*d + 8. What are the prime factors of (v/(-2))/(-2)*-20? 2, 5 Let v = 1 + -1. Suppose 5*y = 2*a + 158, 5*y - 170 = 5*a - 0*a. Suppose -6*w + w + y = v. List the prime factors of w. 2, 3 Let m(b) = -22*b + 2. List the prime factors of m(-2). 2, 23 Suppose 3*o + 27 = -3*u, -6*u + 4*u = o + 13. Let y = o - -5. Suppose n + k = -n + 21, y = 4*k - 20. What are the prime factors of n? 2 Suppose 3*o + 6 = 4*o. Suppose 5*s = -2*v + 29, -3*s = -3*v + o + 27. List the prime factors of v. 2, 3 Suppose 2*l - 54 = -4*j, -3*l = -j + 2*l + 8. Let b be 0 + 1 + 10/(-1). Let n = b + j. List the prime factors of n. 2 Suppose 5*b = -d + 23, 0 = -4*b - 5 - 3. What are the prime factors of d? 3, 11 Let z = 52 - 16. List the prime factors of z. 2, 3 Let t(w) be the third derivative of -w**5/60 - 5*w**4/12 - 4*w**3/3 - w**2. Suppose 0 = -0*i + 4*i + 32. What are the prime factors of t(i)? 2 Let p(d) = -23*d - 1. Suppose 0 = 4*m + 2 + 2. Let w be p(m). Suppose -5*g = -3*g - w. What are the prime factors of g? 11 What are the prime factors of (-6)/(-10) - (-2254)/35? 5, 13 Suppose -3*d - d - 4*w + 28 = 0, 5*w - 27 = -d. Suppose c - 38 = -5*l, -2*c - 5*l = -d*l - 48. List the prime factors of c. 2, 3 Suppose -4*g = -2*g - 12. Suppose x + g = 34. What are the prime factors of x? 2, 7 Let m(u) = u**3 - 8*u**2 + 6*u + 1. Let g be m(7). Let v = g - -8. Suppose -30 = -5*j - 2*t, -3*j - 5*t + 29 = -v*j. List the prime factors of j. 2 Let f(w) = -w - 8. Let q be f(-11). Suppose 0 = 2*g + q*y - 45, 5*y - 49 - 76 = -5*g. Let h = 47 - g. List the prime factors of h. 17 Let o be 396/15 - (-4)/(-10). Let z = -10 + o. What are the prime factors of z? 2 Suppose -5*j + 3 + 2 = 0, -5*y - 4*j = -49. List the prime factors of y. 3 Suppose 3*l - 50 = 2*l. List the prime factors of l. 2, 5 Suppose -3*h = 3*g - 72, -5*g + 49 = -h - 47. List the prime factors of g. 2, 5 Let q(a) = -a**2 + 7*a - 6. Suppose -110 = d - 20. Let j be d/(-21) + (-4)/14. What are the prime factors of q(j)? 2, 3 Let f = -24 + 39. Let u = -11 + f. Suppose u*s + 10 = 62. List the prime fact
{ "pile_set_name": "DM Mathematics" }
10/55980117 What is 3747 divided by 58082? 3747/58082 Calculate 141995 divided by 1544. 141995/1544 What is 45 divided by 220731? 15/73577 -613 divided by 34966 -613/34966 What is 74275112 divided by -6269? -11848 Calculate -4940001600 divided by 2. -2470000800 47126789 divided by 181 260369 10224 divided by 22205 10224/22205 Divide 795106773 by -601. -1322973 -38075477 divided by -100463 379 Calculate -5321211 divided by 23. -231357 Calculate -896706750 divided by 56750. -15801 Calculate 28314338 divided by -206674. -137 Calculate 27901506 divided by 6. 4650251 11049181 divided by -143 -77267 What is -11852876 divided by -17612? 673 What is -12 divided by -52001439? 4/17333813 -1127034950 divided by -5 225406990 What is -57 divided by 27040? -57/27040 11842300 divided by 13 11842300/13 What is -1884 divided by -26871? 628/8957 36856845 divided by 5 7371369 What is -107446 divided by 245? -107446/245 What is 1637340 divided by -14115? -116 What is -37938630 divided by -15? 2529242 -6 divided by -125710070 3/62855035 Calculate 17 divided by 6966438. 17/6966438 Divide -580274 by -178. 290137/89 -599289504 divided by -4 149822376 What is 1070441 divided by -33? -1070441/33 187122972 divided by 2 93561486 -3 divided by 114235767 -1/38078589 2278934 divided by 25606 89 -46526174 divided by 1224373 -38 Calculate 8809864 divided by 122. 72212 Calculate 670244622 divided by -6. -111707437 What is -4363928 divided by 58972? -74 Calculate -432925 divided by 432925. -1 What is -64973442 divided by -6? 10828907 528050964 divided by -114 -4632026 202416515 divided by 5 40483303 -19136624 divided by 9568312 -2 Divide 6485616 by 180156. 36 Calculate 1726345 divided by -4. -1726345/4 Calculate -3780192 divided by -1. 3780192 -336 divided by 59409 -16/2829 Calculate 5386896 divided by -1795632. -3 What is -3 divided by 8719565? -3/8719565 Divide 86402687 by -1. -86402687 Divide 0 by 16417219. 0 What is -46 divided by -271277? 46/271277 What is 34064 divided by 2710? 17032/1355 Divide -2577540 by -1785. 1444 What is 67 divided by -3055229? -67/3055229 Calculate -11 divided by 5608243. -11/5608243 Divide 11763 by 8862. 3921/2954 What is 990652700 divided by 5? 198130540 80 divided by 23929 80/23929 Divide -8527098 by -13. 8527098/13 27114 divided by 465 9038/155 Calculate -750442890 divided by -125073815. 6 2 divided by -11765794 -1/5882897 What is -25772860 divided by -1? 25772860 Calculate 49514819 divided by 1. 49514819 Divide -3464428 by 4. -866107 5469643 divided by -41753 -131 Calculate -68 divided by 222527. -68/222527 Divide -1162514620 by 232502924. -5 Divide -2285 by -9055. 457/1811 Divide -110743 by 130. -110743/130 Calculate 200119332 divided by 7147119. 28 Divide -504813700 by 126203425. -4 4568412 divided by 79 57828 Calculate 457786 divided by 313. 457786/313 Divide -910728 by -312. 2919 What is 257854 divided by -101? -257854/101 -1 divided by 538219 -1/538219 Calculate -12523 divided by 26590. -12523/26590 Divide 68461 by 3550. 68461/3550 What is 1349192 divided by -8? -168649 Calculate 12 divided by -14532662. -6/7266331 What is 5520249 divided by 1840083? 3 Divide -1 by 3114760. -1/3114760 Divide 34436248 by 55903. 616 What is 3 divided by -44010461? -3/44010461 -16654950 divided by -3330990 5 Calculate 227788105 divided by 365. 624077 Divide 204 by 30306. 34/5051 Calculate 18954340 divided by -4738585. -4 3 divided by -47304251 -3/47304251 What is 92334816 divided by 2? 46167408 What is -2 divided by 10055271? -2/10055271 -39661090 divided by 809410 -49 Divide 434502732 by -3. -144834244 Divide -17766465 by 23. -772455 Divide -14880032 by 6. -7440016/3 Divide -403246 by -352. 201623/176 What is 2 divided by 35032152? 1/17516076 Calculate -155 divided by 5327. -155/5327 -4143340146 divided by -6 690556691 Calculate -1107735205 divided by 5. -221547041 Divide -8164011 by -2721337. 3 Calculate 34585536 divided by 488. 70872 204 divided by 1667 204/1667 Calculate 177918110 divided by 230. 773557 -25693 divided by 308 -25693/308 -7665583 divided by 6 -7665583/6 What is 309809158 divided by 1214? 255197 -2217060 divided by -3390 654 Calculate 0 divided by -5136555. 0 Divide -14 by 1522908. -7/761454 What is -894514 divided by -51? 894514/51 What is -27017100 divided by 11? -2456100 -27 divided by -3935684 27/3935684 7306610 divided by -51455 -142 Calculate -9032565 divided by 3010855. -3 Divide -360160755 by 2315. -155577 What is -18874143 divided by -639? 29537 72142981 divided by -130931 -551 Calculate -157143 divided by 1060. -157143/1060 Calculate 30806432 divided by 94. 327728 33661986 divided by 52433 642 Divide -671194 by 20. -335597/10 What is -6422 divided by 8608? -3211/4304 291551836 divided by 624308 467 What is -60583088 divided by 236? -256708 Calculate 274 divided by 8713. 274/8713 103162 divided by 180 51581/90 348 divided by 14118 58/2353 Calculate -81 divided by 87864. -27/29288 What is -455981958 divided by 6? -75996993 Calculate 2 divided by 61264879. 2/61264879 What is -13 divided by 6047230? -13/6047230 5504719 divided by 28 5504719/28 Divide 121091686 by -2. -60545843 What is 679562890 divided by -925835? -734 Calculate 22143894 divided by -6. -3690649 Divide -4 by 4386954. -2/2193477 Calculate -1739664616 divided by 434916154. -4 What is 2107 divided by -21993? -2107/21993 What is -13007772 divided by -3251943? 4 Divide 2838 by 3804. 473/634 496670700 divided by -248335350 -2 Calculate 721689270 divided by -15. -48112618 3520 divided by -1903 -320/173 Divide -387965415 by -4097. 94695 What is -4798 divided by -7185? 4798/7185 Calculate -60120 divided by -7515. 8 Divide 40766811 by -70409. -579 Calculate -18364588 divided by -4591147. 4 4 divided by -13370777 -4/13370777 Calculate 35720 divided by -2459. -35720/2459 3519618 divided by -3519618 -1 What is -109063584 divided by -973782? 112 Divide -10308479 by -23. 10308479/23 261129936 divided by 103953 2512 Calculate 15192 divided by -1119. -5064/373 Divide 9 by 5270390. 9/5270390 Calculate -754066311 divided by 3. -251355437 290401 divided by 5 290401/5 Divide -150985455 by 69. -2188195 -36566235 divided by -21573 1695 Divide -2795900 by 7660. -365 -651264 divided by 162816 -4 Calculate -60419520 divided by 119880. -504 What is -3446604 divided by -861651? 4 What is 28 divided by 700377? 28/700377 -24494295 divided by 1166395 -21 Calculate 21266068 divided by 67. 317404 Divide 11029190 by 95906. 115 Divide -8864476 by 192706. -46 Divide 221 by -3052899. -221/3052899 Calculate -5 divided by 27346461. -5/27346461 Divide -11225602 by -1. 11225602 -3 divided by 1318794 -1/439598 Calculate -3351203 divided by 4. -3351203/4 -34163654 divided by -52318 653 What is 34572112 divided by 944? 36623 7948225 divided by 115 69115 Divide -203350 by -3. 203350/3 Divide -44168795 by 8833759. -5 What is -120630135 divided by 3? -40210045 Calculate -176750025 divided by -2785. 63465 What is -5568684 divided by 3? -1856228 Calculate -753 divided by 119508. -251/39836 What is 9456994 divided by -4? -4728497/2 45505343 divided by 4 45505343/4 -31696 divided by -626 15848/313 Divide -1467898 by -11. 1467898/11 -288840 divided by -57768 5 What is 85192 divided by 1735? 85192/1735 What is 1263 divided by 3? 421 12 divided by 2690442 2/448407 Calculate 1227666 divided by -38. -32307 -26410020 divided by -2940 8983 What is -15098076 divided by -1078434? 14 Calculate -3360532 divided by -2. 1680266 Calculate 173948960 divided by 2320. 74978 Divide -252139004 by -1301. 193804 Divide -38763340 by 20. -1938167 -738074650 divided by -1042 708325 Calculate 28695076 divided by 202078. 142 Calculate 8406433 divided by 1200919. 7 Calculate -77282162 divided by -1. 77282162 What is 293023863 divided by 33? 8879511 -2199157 divided by 29 -75833 What is 738850 divided by 25? 29554 Calculate -16 divided by -1395527. 16/1395527 Calculate 5700450 divided by 93450. 61 Calculate 1 divided by -174145708. -1/174145708 Divide 18717321 by 2673903. 7 Calculate 29481270 divided by 140387. 210 6558738 divided by -101 -64938 -2011 divided by -3167 2011/3167 Calculate -11386 divided by -2180. 5693/1090 -1675484286 divided by -6 279247381 What is -17428416 divided by -6? 2904736 Divide 54016557 by -287. -188211 What is 250
{ "pile_set_name": "DM Mathematics" }
- 17 - d = 0 for k. -4 Let u(l) = l**2 - 7*l + 2. Let g be u(8). Solve -5*y + g = -0 for y. 2 Let x = -116 - -119. Solve -4 = -x*u + 2*u for u. 4 Suppose 0*u - 8 = 2*u. Let g be (-711)/(-63) + u/14. Let n(q) = -2*q - 1. Let a be n(-2). Solve -4*t = g - a for t. -2 Let b be ((-16)/(-8))/((-1)/(-2)). Let c(l) = l**3 - 3*l**2 - 4*l + 5. Let a be c(b). Solve -a + 2 = -3*m for m. 1 Let p be (-12)/(-2)*30/9. Solve 7*s = 3*s + p for s. 5 Let v(n) = 2*n**3 - 4*n**2 + 3*n - 2. Let m be v(2). Solve -m*a + 2 = -6 for a. 2 Suppose -24 = -2*o + 5*o. Let f = -3 - o. Solve -7 = 3*k + f for k. -4 Let k(h) = h**3 - 5*h**2 + 2*h. Let v(f) = 4*f**3 - 21*f**2 + 9*f - 1. Let o(m) = -9*k(m) + 2*v(m). Let j be o(3). Let l = 3 + j. Solve -l = u + 1 for u. -2 Let v be 3/(3 - 24/9). Let z be ((-12)/v)/((-2)/6). Let a be 66/z - (-15)/10. Solve a - 3 = -5*f for f. -3 Let s = 4 + -1. Let d be (-1 - 1)/(-1) + 2. Solve 1 - d = s*b for b. -1 Suppose -b = 4*w + 98 - 21, 0 = -5*w - b - 97. Let s be (-13)/(-5) - 8/w. Solve 2*p + s*p = 0 for p. 0 Let o be -2 - (-1)/((-3)/(-21)). Let c be 2/8 + 39/(-12). Let p = c + o. Solve 0*j = -j + p for j. 2 Let v(f) = -f**3 - 7*f**2 - f - 4. Let w be v(-7). Suppose 4*i - w*m - 8 = -0*i, 4*i + m = 8. Solve i*p + 2*p = -4 for p. -1 Let g(w) = -3*w + 1. Let f be g(-1). Suppose -2*c + 13 = -3*y, 2*c - f*y = 20 - 4. Let k be (-1 - 1*-11)/c. Solve -k*p - 17 = 3 for p. -4 Let y = 1 + 2. Solve -y*u - 7 = 5 for u. -4 Let h = 36 - 36. Solve -3*k + k = h for k. 0 Suppose -3*k + 19 = -2*q, 0 = 2*k + 4*q - 2*q + 4. Suppose k*p - 4*p + 23 = 2*c, -5*c + 5*p = -65. Solve -7*x = -3*x - c for x. 3 Suppose 13*u = 10*u + 9. Suppose -u*q - q = 0. Solve 2*j + q*j = 0 for j. 0 Let h be (60/(-1))/(12/(-8)). Let v be (6/2)/(15/h). Solve -5*k - v = -3 for k. -1 Let c(b) = -2*b**3 + 15*b**2 - 5*b - 9. Let g be c(7). Solve 0 = z + g*z for z. 0 Suppose 6*s + 4*n - 52 = 3*s, -3*n - 36 = -4*s. Solve 5*k = k + s for k. 3 Let r(g) = -g**3 - 9*g**2 + 3*g + 12. Let q be r(-9). Let k = q - -21. Solve 0 = -4*j + k*j + 2 for j. -1 Let j = -10 - -14. Let b = -4 + j. Solve b + 2 = -k for k. -2 Let t(b) = 2*b - 7. Let c be t(6). Suppose -2*x + c*a = -0*a, 12 = 2*x + a. Solve x = 2*y - 1 for y. 3 Suppose z + 2 = 4. Let n = 0 + 0. Solve s - z = -n*s for s. 2 Suppose -12 = -15*k + 9*k. Solve 3*d = -k - 1 for d. -1 Let z(g) = g**2 + g - 4. Let c be z(-5). Suppose -3*n - 27 = 6. Let k = c + n. Solve 0 = k*u - 40 + 15 for u. 5 Suppose 0 = -z + 3*z. Suppose z*g = -6*g. Solve 6*u - u + 25 = g for u. -5 Let p(i) = 2*i - 6. Let s be p(6). Suppose s*v - 15 = v. Solve v*r = -2*r for r. 0 Suppose l - 6 = -2*l. Suppose -2*p = -l*x + 3*p + 15, -17 = -4*x - 3*p. Suppose 0 = -x*f, 5*k + 5*f = 2*k. Solve -5*i - 9 + 24 = k for i. 3 Let g(y) = y**2 + y + 2. Suppose 0 = -s - 0*s - 3*c - 6, -s + c = -2. Let l be g(s). Solve -l*v + 12 = v for v. 4 Let w be -10*(3/6)/(-1). Let z(g) = -g - w*g + 3*g + g**2. Let y be z(3). Solve j - 3*j - 6 = y for j. -3 Let h(y) = y**3 - 5*y**2 - y + 3. Let l = 11 - 6. Let u be h(l). Let t be 1*-1*0/u. Solve 3*k + 15 = -t*k for k. -5 Suppose -4*p + 5*s - 12 = 2*s, 4*p - 5*s = -20. Let g = -4 + 10. Let m = -4 + g. Solve 4 = -m*h - p for h. -2 Let u be (-3 + 3)/(2/1). Let l(f) = f**3 - f**2 + 16. Let h be l(u). Let i be (2 + h)/(3 + -1). Solve -s = 2*s - i for s. 3 Suppose 0 = 5*f - 5 - 15. Solve -4*o = -2*o + f for o. -2 Suppose -g + 3 + 0 = 0. Suppose 0 = -g*c - c. Solve -5*b - 32 + 7 = c for b. -5 Let c = 1 - 3. Let r(h) = -2*h - 2. Let s be r(c). Solve q + 0*q + s = 0 for q. -2 Let k be 25/10 - (-1)/2. Suppose -k*y + 0*w - 9 = 5*w, 3*y = -w + 3. Suppose -5*u - 2*g = y*g - 19, -5*g + 2 = -u. Solve r - 2*r - u = 0 for r. -3 Let x(q) = -q**3 + 5*q**2 - 2*q - 4. Let l be x(4). Suppose 15 = m + l*m. Suppose -s - 9 = 3*f, m = -4*s - f - 0. Solve 4*r - 2*r - 8 = s for r. 4 Let g(y) = -y**2 + 10*y + 13. Let m be g(11). Suppose v + 27 = 5*n, -m*v = 4*n + 3*v - 39. Solve -5*h - 1 + n = 0 for h. 1 Let g = 57 - 51. Solve g*l - 6 = 8*l for l. -3 Let q(y) = y**3 + 7*y**2 + 2 - 6*y - 2*y - 11 - 2*y**2. Let p(c) = 6*c**3 + c**2 - 1. Let v be p(-1). Let t be q(v). Solve r = -2*r - t for r. -1 Let u be -12 - -13 - (0/3 - 5). Solve -u*k = -4*k + 8 for k. -4 Let v be 1/(2/4) + 10. Suppose -3*h + 3 = -v. Solve -u - h = -0 for u. -5 Suppose k = -2*t + 10, 0*t + k + 5 = 3*t. Let p(y) = -y**2 - 3*y. Let g be p(-2). Solve -g = t*b + 10 for b. -4 Let c(k) = -k**3 - k**2 + 13*k. Let z be c(3). Solve z*q + 0*q = 9 for q. 3 Let l = 21 + -18. Solve 0 = -4*a + a - l for a. -1 Let v(s) = 2*s**2 + 4*s. Let a be v(-2). Solve 0 = -2*y - a + 8 for y. 4 Let i(d) be the third derivative of -5*d**4/24 - d**3/6 - 3*d**2. Let p be i(-1). Solve 0*f - 4 = -p*f for f. 1 Let p = 63 + -58. Solve 9 = p*s - 6 for s. 3 Let c = -6 + 7. Let z be ((1 - 2)*c)/(-1). Solve -1 - z = -2*v for v. 1 Let z be (4 + -2)*(-2)/(-2). Solve 3*o = -z*o for o. 0 Let w(a) = a**3 + 4*a**2 - 7*a - 8. Let m be w(-5). Solve -6 = -2*r - m for r. 2 Let g(d) = 3*d + 23. Let y be g(-6). Solve -3*k - y = 2*k for k. -1 Let m(o) = -o**2 - 12*o - 2*o + o - 15. Let g be m(-11). Solve -g - 2 = -3*c for c. 3 Let v be (1/(-3))/(1/(-12)). Suppose -5*y - 3*d + d = -7, -v*y - 8 = 5*d. Solve -r = y*r + 8 for r. -2 Let s(w) = -w**2 - 5*w. Suppose -3 - 5 = 2*m. Let y be s(m). Suppose y*t - 13 - 22 = 5*r, 7 = 2*t + r. Solve 6*i = i + t for i. 1 Let u = -5 + 5. Suppose u*l = l. Suppose 4*t - 2*t = l. Solve -s = -t*s for s. 0 Let d(z) be the first derivative of -z**4/4 - 8*z**3/3 - 3*z**2/2 - 9*z - 2. Let o be d(-8). Suppose -7*w = c - 2*w - o, 0 = 2*w - 6. Solve -4 = -4*k - c for k. 1 Let l(g) = 11*g. Let z be l(-1). Let c(x) = -2*x + 2. Let b be c(-4). Let w be (-15)/b + z/(-2). Solve w*r + 9 = r for r. -3 Let k be -2 - 2 - (-6)/3. Let i be k - (44/2 + 3). Let j = i + 52. Solve -6*w - j = -w for w. -5 Let h(y) = 21*y**2 - y - 2. Let s be h(-2). Suppose 3*r - 6*r = -5*p - 38, 5*r - s = -2*p. Suppose 3*m - r = -1. Solve m*w + 28 - 8 = 0 for w. -4 Let h(b) = 7*b - 4. Let r be h(-2). Let u be (r/(-5))/(10/25). Solve -5*f - 1 - u = 0 for f. -2 Suppose -4*c - p + 17 = 0, 2*c - c - 8 = -p. Suppose -l - c*l = -16. Solve d + d = l for d. 2 Suppose -45 = 4*z - 9*z. Let x = z - 7. Solve -3*c + x + 13 = 0 for c. 5 Let q = 1 + -4. Let l be ((-9)/6)/((-9)/(-48)). Let b = q - l. Solve -b*m = -0*m - 20 for m. 4 Suppose 2*q + 0 = 6, -4*z + 35 = 5*q. Solve -z*i = -8 - 2 for i. 2 Let k(r) = 2*r**2 + 6*r + 4. Let f be k(-3). Solve -i - f = -3 for i. -1 Let s(d) = d**2 - 4*d - 16. Let u be s(7). Solve 6*j + u = j for j. -1 Let v = 1 - -2. Let t(c) = -c**2 + 2*c + 2. Let y be t(v). Let d be 0 - (y - (-1 + 0)). Solve -3*n = -d*n + 12 for n. -4 Let c = 5 - 3. Let a be (-1)/(-1) + 1 + 4. Let p be (-6)/(-3) + a/c. Solve -v - p = -1 for v. -4 Let l = 14 + -4. Let z be 15/25 + 24/l. Solve 4*q + z - 23 = 0 for q. 5 Suppose -3*i - 1 - 11 = -3*b, -b - 4*i - 1 = 0. Solve 5*r - b = 2*r for r. 1 Suppose -5*q = -2*b + 89, q - 193 = -4*b - 4*q. Let d = b - 34. Solve 3 = -2*i + d for i. 5 Let d = 16 - 13. Solve d*n + 1 + 14 = 0 for n. -5 Let f(n) = -2*n - 32. Let l be f(-16). Solve -r = 5 - l for r. -5 Let b = -149 + 260. Let y be ((-1)/(-1))/(3/b). Suppose y = 3*x + 1. Solve -m + x = -4*m for m. -4 Suppose r = 4*a - 36, -3*a + 10 = 3*r - 2. Suppose -x = 4*q - 17, -3*q + 11 = 2*x - a. Solve 0*z = -q*z + 12 for z. 4 Let l be (2*-3)/(6/(-4)). Suppose -5*y = -3*y - 10. Suppose 0 = -2*b + 3*n - 9, -3*b - y*n = -n - 12. Solve b = l*d + 12 + 8 for d. -5 Let a(y) = -y - 4. Let b be a(-4). Solve b*r - 12 = -4*r for r. 3 Suppose 0 = -5*d - 5*q + 30, 3*q + 1 = 4*q. Suppose -d*b - 5*s = -15, -2*b + 4*s + 0 = -12. Suppose -12 - 6 = -3*m. Solve m = -b*k - 6 for k. -3 Suppose -23 = -5*c - 2*y, -3*c = -y - 0*y - 5. Suppose c*w = 4*w. Solve 0*m + m - 4 = w for m. 4 Let z(g) = g**2 - 7*g + 9. Let x be z(6). Solve -x*s + 12 = s for s. 3 Let v be 2 + -1*(0 - -5). Let h be ((-2)/(-4))/(v/30). Let i = h + 8. Solve 20 = -i*m - m for m. -5 Let a be ((-9)/36)/(2/(-24)). Solve a = -2*b - b for b. -1 Let m be (-6)/(-27) + (-43)/(-9). Solve 21 = -m*o - 4 for o. -5 Suppose -8*w - 2 = -34. Solve -2*a = -w*a for a. 0 Suppose 2*u - 4*l + 4 = 0, -u - 16 = -5*u + 2*l. Suppose u*y = y. Let m = 0 - y. Solve m = 3*c - 5 - 1 fo
{ "pile_set_name": "DM Mathematics" }
o + 40*o - 3*o**3 + 47*o + 8*o**3. 5*o**3 Collect the terms in 3454234 - 3454234 + 4*n**2. 4*n**2 Collect the terms in -784*m - 806*m + 1587*m. -3*m Collect the terms in -20*d**2 + 0*d**2 + 37*d**2. 17*d**2 Collect the terms in 5*i - 343*i**2 - 3*i + 0*i - i. -343*i**2 + i Collect the terms in 392*l**2 + 363*l**2 + 373*l**2 - 1164*l**2. -36*l**2 Collect the terms in 128*c**2 + 149*c**2 + 136*c**2 + 143*c**2 - 511*c**2. 45*c**2 Collect the terms in 20*r**2 - 12*r**2 - 17*r**2 + 15*r**3. 15*r**3 - 9*r**2 Collect the terms in -28259403*y + 4*y**3 + 28259403*y. 4*y**3 Collect the terms in 2403*d - 7011*d + 2415*d + 2192*d. -d Collect the terms in -2229*k + 32*k**2 + 560*k + 561*k + 554*k + 554*k. 32*k**2 Collect the terms in 18*a**2 + 153 - 8*a**2 - 12*a**2. -2*a**2 + 153 Collect the terms in 42*b + 13 - 88 + 75. 42*b Collect the terms in 972*s - 378*s - 11*s**3 + 5*s**2 - 5*s**2. -11*s**3 + 594*s Collect the terms in -2451550*g**2 + 2451550*g**2 - 226*g**3 + 1 - 1. -226*g**3 Collect the terms in 2*c**2 + 6817*c**3 - 2*c**2 + 7829 - 7829. 6817*c**3 Collect the terms in 17 - 104*n**3 - 1273*n**3 - 8 - 9. -1377*n**3 Collect the terms in 53664 + 11660 - 2*x - 4574. -2*x + 60750 Collect the terms in 123 - 50 - 34 - 17*u**2 - 39. -17*u**2 Collect the terms in 34*d + 29*d - 5*d + 14*d. 72*d Collect the terms in -51*y**3 - 49 - 9 + 49 + 9. -51*y**3 Collect the terms in 196*d - 12*d**3 + 1 + d**2 - 1 - 14*d**3. -26*d**3 + d**2 + 196*d Collect the terms in 2*t + 2 + 25 - 5*t + 2*t. -t + 27 Collect the terms in -5*w - 23*w + 68*w - 8*w - 4*w. 28*w Collect the terms in 41*g**3 - 19443 + 19443. 41*g**3 Collect the terms in 134*p + 3*p**3 + 94*p - 358*p + 130*p + p**3. 4*p**3 Collect the terms in 84*f - 121*f - 97*f - 231*f - 39*f. -404*f Collect the terms in -2*j + 4*j - 33312*j**3 - 5*j + 33316*j**3 + 3*j. 4*j**3 Collect the terms in 38*j - 3*j - 8*j + 210*j. 237*j Collect the terms in 4 - 5*o**2 - 9*o + 41*o - 16*o - 16*o. -5*o**2 + 4 Collect the terms in 13*o - 14*o**2 - 15*o**2 + 63*o**2 - 14*o**2. 20*o**2 + 13*o Collect the terms in 1070*i + i**2 - 1091*i + 0*i**2. i**2 - 21*i Collect the terms in -5*n**2 - 31*n + 31*n - 143*n**3. -143*n**3 - 5*n**2 Collect the terms in 148161*i**2 + 148174*i**2 - 296307*i**2. 28*i**2 Collect the terms in 100*c**3 + 47*c**2 + 122*c**3 - 47*c**2 - 212*c**3. 10*c**3 Collect the terms in 6157*c - 12389*c + 6198*c. -34*c Collect the terms in 90*d - 80 - 91 + 182. 90*d + 11 Collect the terms in -p**3 + p**3 + p**3 - 7*p**3 - 10*p**3. -16*p**3 Collect the terms in 24 + 30 + 9*k**2 - 79 + 32. 9*k**2 + 7 Collect the terms in -7 + 3 + 1418*z + 4 - 1409*z. 9*z Collect the terms in -2546*z - 1 - 2 - 2572*z + 5123*z + 3. 5*z Collect the terms in 19097*w**2 - 9497*w**2 - 9551*w**2. 49*w**2 Collect the terms in -3867689*o + 3867689*o - 9*o**2. -9*o**2 Collect the terms in -5*s + 72727 + 72727 - 145454 + 3*s. -2*s Collect the terms in 468*o - 164*o - 80*o. 224*o Collect the terms in -9*u - 14*u - 7*u + 1 + 57*u - 33*u. -6*u + 1 Collect the terms in -59*b**3 - 487*b + 486*b - 70*b**3. -129*b**3 - b Collect the terms in -12 + 16*s - 1 + 10 + 2. 16*s - 1 Collect the terms in 117*t - 201*t - 37*t + 120*t. -t Collect the terms in -32797*c + 65706*c - 32897*c. 12*c Collect the terms in -3*a**2 + 91*a + 152*a + 784*a - 2*a**3. -2*a**3 - 3*a**2 + 1027*a Collect the terms in -q**2 + 379*q + 2*q**2 - 374*q. q**2 + 5*q Collect the terms in 4981*z**2 - 3*z - 4*z - 4980*z**2. z**2 - 7*z Collect the terms in -13*h**3 - 17*h**3 - 10*h**3 + 47*h**3 - 4*h**3. 3*h**3 Collect the terms in -19*x - 202 + 130 + 72 + 20*x. x Collect the terms in 1987*v - 1987*v + 4324*v**2. 4324*v**2 Collect the terms in -14*n + 54*n - 20*n - 29*n. -9*n Collect the terms in 93*c - 332*c + 116*c + 117*c. -6*c Collect the terms in -5*c**2 + 86*c**3 - 182*c**3 + 93*c**3 + 34*c. -3*c**3 - 5*c**2 + 34*c Collect the terms in -29*a**2 + 4*a**3 + 12*a**2 + 42*a**2 - 25*a**2 - 12*a**3. -8*a**3 Collect the terms in 10*q + 36*q + 24*q + 3*q + 400*q. 473*q Collect the terms in 24*j**2 - 24*j**2 + 1163 - 1163 + 518*j**3. 518*j**3 Collect the terms in 8237 - 16487 + 8250 - 13*q. -13*q Collect the terms in -i**3 - 30*i**3 + 3*i**3 + 2 + 2. -28*i**3 + 4 Collect the terms in 0 - 262824*w - 37751*w + 0. -300575*w Collect the terms in 3158665*y - 16*y**3 + 7*y**3 - 3158665*y. -9*y**3 Collect the terms in 126*s**3 - 6*s**3 - 38*s**3 - 47*s**3. 35*s**3 Collect the terms in 10572*f**3 + 13144*f**3 + 12191*f**3. 35907*f**3 Collect the terms in 1135*p**3 + 2899*p**3 + 380*p**3 + 282*p**3. 4696*p**3 Collect the terms in 158 + 21*l - 26*l + 7*l. 2*l + 158 Collect the terms in -227 + 664 - 216 - 6*x**2 - 221. -6*x**2 Collect the terms in 31 + 5 + 228*n + 34 - 229*n. -n + 70 Collect the terms in 0 - 2 + 778*m + 2. 778*m Collect the terms in -3556*f + 6711*f - 3152*f. 3*f Collect the terms in 6*g - 37*g - 72*g - 24*g. -127*g Collect the terms in -5349267 + 5349267 + 60*j**2. 60*j**2 Collect the terms in -68*y + 3*y**2 + 68*y - 103 - 4*y**2. -y**2 - 103 Collect the terms in -10*z**3 - 22*z + 3*z**3 + 22*z - 15*z**3. -22*z**3 Collect the terms in -115407889*j + 115407889*j - 9*j**2. -9*j**2 Collect the terms in 22418720 - 4*a - 22418720. -4*a Collect the terms in -225 + 1268*j + 225 - 8328*j. -7060*j Collect the terms in -304411 - 1979*c + 304411. -1979*c Collect the terms in -62*d**3 - 23331*d**2 + 23331*d**2. -62*d**3 Collect the terms in -4*c + 417526*c**2 + 4*c - 417412*c**2. 114*c**2 Collect the terms in 107*z + 200 + 199 - 483*z - 399. -376*z Collect the terms in 34*i - 61*i + 27*i - 277*i**2. -277*i**2 Collect the terms in 111316649*a - 111316649*a + 3*a**3. 3*a**3 Collect the terms in -274*p**3 + 171*p**3 + 102*p**3. -p**3 Collect the terms in -2584*w + 1904*w + 1535*w. 855*w Collect the terms in -76*d**3 - 77*d**3 + 218*d**3. 65*d**3 Collect the terms in 2*k - 292 - 295 + 592. 2*k + 5 Collect the terms in 401*o**3 - 132*o**3 + 8624*o - 8624*o. 269*o**3 Collect the terms in 45 - 201356*g - 7*g**3 + 201356*g - 45. -7*g**3 Collect the terms in 1468*p**2 + 110 - 110 + 112*p**2 + 2451*p**2. 4031*p**2 Collect the terms in -8 + 15214*r + 8. 15214*r Collect the terms in 30*x**2 - 3*x - 212 + x + 2*x - 5*x. 30*x**2 - 5*x - 212 Collect the terms in -6*q**2 + 161978 + 161983 - 323961. -6*q**2 Collect the terms in 1134*f - 2267*f + 1141*f. 8*f Collect the terms in 0*m + 3827*m**2 - 3*m - 3237*m**2. 590*m**2 - 3*m Collect the terms in 4 + 1 - 6*k - 4 - 1 + 3. -6*k + 3 Collect the terms in -19*z + 9 - 8 + 42*z - 49 - 21*z. 2*z - 48 Collect the terms in j**3 - j**3 + 62577*j - 62577*j - 3*j**3. -3*j**3 Collect the terms in 11712*a**2 - 5845*a**2 - 5845*a**2. 22*a**2 Collect the terms in y**2 + 2*y**2 - 22*y**2 + 8*y**2. -11*y**2 Collect the terms in -36*o - 27*o + o + 5*o + 77*o - 22*o. -2*o Collect the terms in -11 + 172*g - 16 + 1. 172*g - 26 Collect the terms in -39775*w**2 + 13258*w**2 + 13258*w**2 + 13246*w**2. -13*w**2 Collect the terms in 3500*p**2 - 746*p**2 + 2026*p**2. 4780*p**2 Collect the terms in -15 - 1113*h**3 + 94*h**3 + 15 - 181*h**3. -1200*h**3 Collect the terms in -51 + 4 + 9*o**3 - 7*o**3 + 47. 2*o**3 Collect the terms in 0*i**2 - 1132*i**3 + 0*i**2 + 1237*i**3. 105*i**3 Collect the terms in -108 + 86 - s - 4*s. -5*s - 22 Collect the terms in 152*f**3 + 111*f**3 - 4*f**2 + 7*f**2 - 269*f**3. -6*f**3 + 3*f**2 Collect the terms in -168*f - 8314 + 8314 + 169*f. f Collect the terms in -12557*d + 62816*d - 12565*d - 12567*d - 12560*d - 12564*d. 3*d Collect the terms in 2 - 257*g + 209*g + 568*g. 520*g + 2 Collect the terms in 1007*t**3 + 193*t**3 - 375*t**3 + 720*t**3. 1545*t**3 Collect the terms in 4203*h - h**2 + 44 - 4203*h. -h**2 + 44 Collect the terms in -88405 + 3*x**2 + 88405 - 3*x**2 + 61*x + x**3. x**3 + 61*x Collect the terms in -3*n + 193*n**2 - 106*n**2 - 87*n**2 + 11*n**3. 11*n**3 - 3*n Collect the terms in -64*w**2 + 118*w**2 - 58*w**2. -4*w**2 Collect the terms in 419 - 204 + 14*j - 215. 14*j Collect the terms in 944 - 2841 + 952 + 18*y**2 + 945. 18*y**2 Collect the terms in 2 + 318*j**2 - 28*j**2 - 2 - 2. 290*j**2 - 2 Collect the terms in 5602*r + 6726*r - 5127*r. 7201*r Collect the terms in -12 - 674*s - 1 - 1. -674*s - 14 Collect the terms in 103*v**3 - 1 + 118*v**3 - 11*v*
{ "pile_set_name": "DM Mathematics" }
tor of p(r)? True Let v = 4261 + -1677. Is 19 a factor of v? True Let b(r) be the first derivative of r**3/3 - 7*r**2/2 + 3*r - 13. Let d be b(6). Is 14 a factor of (-134)/(-10) + ((-27)/15)/d? True Let f(l) = 2*l**2 - 127*l - 138. Is 12 a factor of f(67)? False Suppose 6*l - 2*n - 230 = 2*l, 4*l - 5*n - 227 = 0. Suppose -3*j = -68 - l. Suppose f + j = 146. Is 13 a factor of f? True Let n(z) = 6*z**2 + 10*z - 4. Let y be n(5). Suppose 0 = 20*c - 13*c - y. Is 18 a factor of c? False Let n(i) be the third derivative of i**4/12 - 2*i**2. Let x be n(1). Suppose x*y + 3*l = 133, 4*l - 2*l = -2*y + 138. Is y a multiple of 25? False Let i = -31 - -31. Let b be 70 + -4 + 3 + 2. Suppose -b = -i*y - y. Is 16 a factor of y? False Suppose 0 = -104*w + 106*w - 5076. Is w a multiple of 9? True Is 107376/32 - (-3)/(-6) a multiple of 6? False Let c(s) = -1966*s**3 + 3*s**2 + 7*s + 6. Is c(-2) a multiple of 38? True Let x be (216/(-20))/((-2)/5). Suppose -y = x - 28. Is (-118)/(-6) - y - 3/(-9) a multiple of 19? True Let f(b) = 59*b + 66. Let z = -320 - -329. Does 13 divide f(z)? False Let h = 8 + -8. Suppose 8*j - 4*j - 2*d - 990 = h, -3*d = 9. Suppose -10*n + 8*n - 3*f = -130, f = 4*n - j. Is 9 a factor of n? False Let y(b) = 28*b**2 + 300*b - 22. Does 36 divide y(8)? False Suppose -2487 - 1077 = 36*k. Is 42 a factor of (-5134)/(-4) + k/66? False Let q(r) = -9*r + 78. Let w be q(7). Suppose -w*s + 2177 = -1648. Does 25 divide s? False Let y(c) be the second derivative of c**3/6 + c**2/2 + 16*c. Let v(u) = 20*u. Let l(j) = -v(j) - 2*y(j). Is l(-3) a multiple of 36? False Suppose -7*b = -1 - 20. Suppose 0 = 5*l - 5*k - 495, -k + b*k = 5*l - 510. Does 8 divide l? True Suppose -63800 = -88*q + 68*q. Is q a multiple of 58? True Is 38 a factor of -11 + -7 + 935 - (3 - -2)? True Let a = 4953 + -5198. Let t(n) = -58*n**3 - 2*n**2 - 3*n. Let y be t(-2). Let m = y + a. Is m a multiple of 31? True Let r = -165 + 166. Does 21 divide (-4)/r + (-3)/(24/(-1208))? True Let x(i) = 13*i + 84. Let v = 131 - 106. Does 34 divide x(v)? False Let d(x) be the first derivative of 5*x**3 - 7*x**2/2 - 54*x - 88. Does 33 divide d(-7)? False Suppose -70*n = -717472 - 312508. Is 8 a factor of n? False Let q = 13620 - 2819. Is 70 a factor of q? False Suppose -3*i - 108 = i - 5*z, i + 2*z = -14. Let f(s) = s**2 + 20*s + 120. Is f(i) a multiple of 41? True Let k(n) = -25 + 11*n + 4 + 1 - n**2. Let w be k(10). Is (-6)/w - 8388/(-45) - -4 a multiple of 20? False Suppose 131*x - 109604 = 25*x. Is x a multiple of 94? True Let v(z) be the third derivative of z**4 - 67*z**3/3 - 73*z**2. Is 6 a factor of v(16)? False Suppose 5*x + o - 12665 = -4*o, -4*x = 2*o - 10142. Does 30 divide x? False Suppose -123 = -34*t - 21. Is 12 a factor of (-388)/t*189/(-84)? False Let c = 42 + -38. Suppose -55*h + c = -51*h. Is (-2382)/(-36) - h/6 a multiple of 11? True Suppose 707 = 4*a + 151. Let m = a + 141. Is m a multiple of 8? True Suppose 0 + 1 = g. Let q(f) = -9*f**2 + 3*f + 11*f**2 - g + 3*f. Does 5 divide q(-5)? False Let v(z) = 210*z**2 - 2*z - 1. Let g = -49 + 50. Is 11 a factor of v(g)? False Let t(p) = 3*p**3 + p + 3600. Let z be t(0). Suppose 0*u - 16*u + z = 0. Does 36 divide u? False Let h be 75/(-125)*(-246 - -1). Let y = h - 21. Is 21 a factor of y? True Suppose 4*q + 4*b = 63500, -4*q = 75*b - 76*b - 63480. Does 185 divide q? False Let f be 2*57/2*(-497)/(-213). Is 522 + ((-10)/14)/((-19)/f) a multiple of 17? True Let n(i) = 2*i**2 + 77*i + 502. Does 45 divide n(-75)? False Let f be (6 + (-174)/24)/(1/(-4)). Does 5 divide f - (-210)/(36/6)? True Suppose 5*t = 10*j - 6*j - 89, 3*j - t - 53 = 0. Suppose 18*u - j*u - 664 = 0. Is 37 a factor of u? False Let v be 1560/(-150)*175/(-2). Suppose -3*j + v = -5*m, 4*j - m = 1288 - 103. Is j a multiple of 41? False Is (20 + -455 + -15)*-8 a multiple of 20? True Let i = 413 - 410. Suppose 0 = -i*n + 130 + 2744. Is n a multiple of 43? False Suppose 6*d = 8*d + 5*z - 1759, -5*z + 3513 = 4*d. Is 16 a factor of d? False Let j(r) = r**3 - 9*r**2 - 22*r + 16. Let s be j(11). Suppose 0 = -d + 5*m + 412, -s*d + 785 = -14*d + 3*m. Is d a multiple of 27? False Suppose 3*y = 4*t + 466, -5*t + 1 - 6 = 0. Let k be y/7 + (-1 - -4). Suppose -24*g + k*g = 177. Does 16 divide g? False Let n = 16218 + -16291. Suppose -r - 5*v - 87 = -2*r, 5*v = -5*r + 495. Let w = r + n. Does 12 divide w? True Let k be 58 - (30/3 + -4). Suppose k*d - 13583 = 35*d. Is d a multiple of 24? False Suppose -1267 = -7*x + 35154. Suppose 0 = -19*d + 14*d + 4*l + 6501, 4*d - l = x. Is d a multiple of 90? False Suppose 0 = -13*p + 6*p + 231. Let m = p - 39. Is (-4*m/(-72))/((-1)/195) a multiple of 17? False Suppose v - 111 = -0*v. Let h be 38/(-1 - (-3)/2). Let f = v - h. Does 3 divide f? False Let d(a) = 13*a + 289. Let g = 259 - 236. Is d(g) a multiple of 12? True Let d(f) = -f**3 + 17*f**2 + 24*f - 8. Let b be d(20). Is 9/(((-147)/b)/7) a multiple of 13? True Suppose a - 1283 = -s, -4697 = -5*a + 2*s + 1739. Is 3 a factor of a? False Does 55 divide 88230/16 - (-4 - (-1190)/272)? False Suppose 11712 - 98472 = -24*u. Does 17 divide u? False Suppose -74*g + 64*g + 1780 = 0. Let x = 9 + g. Does 36 divide x? False Let w(b) = 3*b**2 + 5*b - 3. Suppose 4*p - 2 = 3*p. Let d be (6 - (-3 - -3))/p. Is 13 a factor of w(d)? True Let t(s) = 388*s**3 - 68*s**2 + 247*s. Is t(4) a multiple of 36? True Let b be (6/(-2) - 5)*2/4. Let m = 11 + -3. Does 11 divide (194/m)/((-1)/b)? False Suppose 54 = -35*s + 26*s. Is 6 a factor of (-1137)/s - (-8)/(-16)? False Suppose 7*w - 21 = 91. Suppose 8820 = -4*v + w*v. Is v a multiple of 49? True Suppose 151*k + 15588 - 1307393 = 0. Does 59 divide k? True Suppose 2*d + d = -1653. Let k = d + 386. Let n = k - -317. Is n a multiple of 14? False Let t be (-6 + 4)*(-249)/6. Suppose y - 4*r + r = t, -130 = -2*y - 3*r. Is 71 a factor of y? True Let h = 627 - -2893. Does 12 divide h? False Let j(g) = -31*g**2 + 2*g**3 + g**3 - 5*g**3 + 12*g + 0*g**3 - 19. Does 9 divide j(-16)? True Suppose 14*d - 15 = 9*d. Suppose -5*v + 8 = -4*w, -3*v - 3*w + 18 = -d. Suppose v*z - 9*z + 150 = 0. Is z a multiple of 6? True Is 9344 - 11/((-143)/52) a multiple of 15? False Let y = 566 + -566. Suppose 1010*r - 1008*r - 300 = y. Is r a multiple of 15? True Suppose -2*p = -3*f - 38306, -f = p + 3*f - 19186. Is 143 a factor of p? True Suppose 0 = -6*t - 11 + 5. Is t - ((-2)/(-2))/((-7)/4627) a multiple of 16? False Let i(r) = 37*r**2 - 28*r - 40. Is i(11) a multiple of 22? False Suppose -4*y + 10 + 2 = 0. Let m be (5 - -2)*y/1. Suppose m*h = 24*h - 51. Is h a multiple of 6? False Let n = -1674 + 4004. Is n a multiple of 5? True Suppose -1179*v = -1166*v - 25168. Is 16 a factor of v? True Suppose 10*m + 10*m - 8040 = 0. Suppose -4*g = -7*y + 2*y + m, 4*g = y - 90. Is y a multiple of 39? True Let x be 1 + (20/4)/(-5). Suppose x = 13*c - c - 720. Does 20 divide c? True Suppose 5*g - 16*s + 13*s - 25 = 0, -4*s = -4*g + 12. Suppose -g*u = u - 1026. Is u a multiple of 3? True Does 4 divide (-274454)/(-328) + (-2)/(-8)? False Suppose -55 = -8*t + 1. Suppose -3*s - 2757 = -t*a + 4*a, 0 = -5*a - 3*s + 4555. Does 14 divide a? False Suppose -5*q - 3*g = -267, -4*q + 0*g + 217 = -g. Suppose 7*n = n + q. Is 21 a factor of 572/12 - (6/n + 0)? False Let c(j) = 11*j - 5. Let m be c(1). Suppose 0 = -w - s + 112, -5*s + m*s + 116 = w. Let p = w + 40. Does 11 divide p? True Let c(s) = 22*s**2 - 13*s - 15. Let h be 0 - (3 + 6/(-3))*5. Does 15 divide c(h)? True Let j(d) = -d**3 + 74*d**2 + 153*d + 156. Is j(70) a multiple of 13? False Let u be 17/(5 - 4) - -4. Suppose 2*h - 6 = 2*b, h + 3*b - u + 10 = 0. Suppose -3*z - 187 = -h*z - 3*i, -i = -4*z + 339. Is z a multiple of 33? False Let s = -442 - -442. Suppose s = 26*q - 13*q - 1053. Is 2 a factor of q? False Suppose -24 = -4*j - 8. Let w(u) = 5*u**3 + u**2 - u + 13. Let q be w(j). Let g = q + -192. Is 31 a factor of g? False Suppose i = -5*i + 42. Let f = i + 8. Does 15 divide (-1)/(-1) + f - 1? True Suppose -98*d - 140 = -103*d. Is 1316*-12*(-2)/d a multiple of 12? True Let z = 1090 + -2368. Let m = -679 - z. Does 27 divide m? False Suppose -4*l - 5 + 93 = -x, 0 = -4*x + 16. Let j(b) = -b**3 - 45*b**2 - 38*b + 257. Let w be j(-44). Let y = l - w. Is y a multiple of 15? True
{ "pile_set_name": "DM Mathematics" }
+ 1)*(3*g + 1) Let c(x) be the third derivative of x**7/1260 + x**6/720 - x**5/20 - 13*x**4/36 - 10*x**3/9 - 219*x**2. Factor c(a). (a - 5)*(a + 2)**3/6 Suppose -2*l - 3*j + 4 = 0, 2*l - 10 = -3*l + 3*j. Let c(w) be the first derivative of 3 - w**l - 1/3*w**3 + 0*w. Solve c(b) = 0 for b. -2, 0 Let 2/7*p**5 + 2/7*p**4 - 6/7*p**3 + 0 - 2/7*p**2 + 4/7*p = 0. Calculate p. -2, -1, 0, 1 Let o(z) = z**3 + 9*z**2 - 11*z - 2. Let t be o(-10). Suppose 0 = -4*i + 4*g + 28, -i = -g + 3*g + t. Factor 4*k**i - 14*k**3 + 7*k**4 + 2*k - 5*k**4 + 6*k**4. 2*k*(k - 1)**2*(4*k + 1) Factor 0*r - 10/11*r**2 + 47/11*r**3 - 9/11*r**4 + 0. -r**2*(r - 5)*(9*r - 2)/11 Let a be (-2 - (-2 + -2)) + -2. Suppose 0*v - v + 2 = a. Factor 4*t**3 - 3*t - 15*t**v + 3*t**2 + 7*t + 4*t. 4*t*(t - 2)*(t - 1) Let u(s) be the second derivative of 0*s**4 - 7*s + 1/210*s**7 + 0 + 1/100*s**5 + 1/75*s**6 + 0*s**2 + 0*s**3. Factor u(o). o**3*(o + 1)**2/5 Let r(t) be the first derivative of -3 - 1/2*t - 1/2*t**3 + 1/8*t**4 + 3/4*t**2. Factor r(k). (k - 1)**3/2 Let p(b) = 12*b + 53. Let z be p(-15). Let t = z + 897/7. Factor -4*d - 16/7*d**2 + t. -4*(d + 2)*(4*d - 1)/7 Let d(w) be the second derivative of -1/20*w**5 + 0 - 1/2*w**2 + 1/12*w**4 - 4*w + 1/6*w**3. Factor d(v). -(v - 1)**2*(v + 1) Let r = -454 - -3186/7. Solve r*z**4 + 0 + 0*z + 4/7*z**2 + 2/7*z**5 + 10/7*z**3 = 0 for z. -2, -1, 0 Let d(i) be the third derivative of -i**8/1176 - 4*i**7/735 + i**6/84 - 19*i**2 - 2*i. Factor d(q). -2*q**3*(q - 1)*(q + 5)/7 Let -2*h + 0 + 7/2*h**2 - 3/2*h**3 = 0. Calculate h. 0, 1, 4/3 Let a be 30/(-18) + 77/21. Factor 0 - 1/4*t**a + 1/4*t. -t*(t - 1)/4 Let c(o) be the second derivative of o**6/165 - 2*o**5/5 + 73*o**4/11 + 92*o**3/3 + 529*o**2/11 - 48*o. Factor c(k). 2*(k - 23)**2*(k + 1)**2/11 Let u = 18 + -24. Let h be -4*u/8 - -3. Factor -p**4 + 2*p**4 - p**5 - 6*p**4 + 8*p + 4*p**2 - h*p**3. -p*(p - 1)*(p + 2)**3 Suppose 9 = 2*o + o. Determine c, given that c**3 + 6*c**2 + c**o - 16*c**2 + 72 - c**5 + 13*c**3 - 60*c = 0. -3, 2 Let r(k) be the second derivative of k**8/5040 + k**7/1890 - k**6/270 - 2*k**4/3 + 2*k. Let y(q) be the third derivative of r(q). Find j such that y(j) = 0. -2, 0, 1 Let z(o) = 273*o + 1096. Let h be z(-4). Let -2/5*d**h - 1/5*d**5 + 2/5*d**2 + 0*d**3 + 1/5*d + 0 = 0. What is d? -1, 0, 1 Let v = 2311/688 - 53/16. Let d = 166/129 + v. Factor -2/3 + 1/3*f**3 + 5/3*f - d*f**2. (f - 2)*(f - 1)**2/3 Let x(q) be the first derivative of -q**4/3 + 18*q**2 - 45*q + 35. Let k(n) be the first derivative of x(n). Factor k(a). -4*(a - 3)*(a + 3) Let l(n) be the third derivative of 0*n + 2*n**2 + 0*n**3 + 1/24*n**6 + 0 - 1/2*n**5 + 15/8*n**4. Factor l(m). 5*m*(m - 3)**2 Let r = -302 - -304. Let q(b) be the third derivative of -1/60*b**6 + 1/12*b**4 + 0*b**3 + 0*b**5 + 0*b + 0 - b**r. Factor q(t). -2*t*(t - 1)*(t + 1) Let o(i) = i. Let g(q) be the second derivative of -3*q**4 - 6*q**3 - 4*q**2 - 14*q. Let x(a) = -g(a) + 8*o(a). What is s in x(s) = 0? -1, -2/9 Let m be 20/(-39) + 4/6. Let z(v) = -2*v**3 + 71*v + 10. Let d be z(6). Factor m*f**2 - 4/13*f**3 + 0*f + 0 + 2/13*f**d. 2*f**2*(f - 1)**2/13 Suppose 0 = z - 5*a - 3 - 4, -3*z + 1 = 5*a. Solve -7*f**2 - 12*f**z + 18 + 4*f**2 - 39*f = 0 for f. -3, 2/5 Let k(h) be the first derivative of 3*h**5/5 - 3*h**4/4 + h**3/4 - 45. Factor k(s). 3*s**2*(2*s - 1)**2/4 Let t be (7/420)/((-10)/(-125)). Let o(v) be the third derivative of -7/240*v**5 + t*v**4 - 1/6*v**3 + v**2 - 3/160*v**6 + 0 + 0*v. Factor o(c). -(c - 1)*(c + 2)*(9*c - 2)/4 Let n(x) be the second derivative of 29*x + 1/6*x**3 + 0 - 1/20*x**5 - 1/2*x**2 + 1/12*x**4. Factor n(f). -(f - 1)**2*(f + 1) Suppose -4*l - j + 17 = 0, -l + 2*j - 7 = -0*l. Suppose -3*f + 9 - l = 0. Find w such that 2*w**3 + 2*w**4 - 5/2*w + 1/2*w**5 - 1 - w**f = 0. -2, -1, 1 Factor -224/3*r**3 - 332/3*r**4 + 2*r**5 + 0*r**2 + 0*r + 0. 2*r**3*(r - 56)*(3*r + 2)/3 Let z be 6/(3 + -1) + 17/(-16 - 1). Factor 0*u**z + 0*u + 3/8*u**3 + 3/4*u**4 + 0 + 3/8*u**5. 3*u**3*(u + 1)**2/8 Let q(a) = a**2 - a + 1. Let r(k) = -5*k - 1. Let j be r(-9). Let b(s) = -2*s**4 - 2*s**3 + 24*s**2 - 20*s + 22. Let u(y) = j*q(y) - 2*b(y). Factor u(i). 4*i*(i - 1)*(i + 1)**2 Let f(q) be the third derivative of -2*q**6/15 + 29*q**5/25 - 5*q**4/6 - 8*q**3/5 - 3*q**2 - 91*q. Let f(h) = 0. Calculate h. -1/4, 3/5, 4 Suppose 8*b + 5/2*b**2 - 32/3 + 1/6*b**3 = 0. What is b? -8, 1 Let l(f) be the first derivative of -1/3*f**2 + 0*f + 2/9*f**3 - 6. Factor l(z). 2*z*(z - 1)/3 Let m be 4/(-6) - 320/(-48). Suppose -5*p + 18 = 4*y, 2*y + m = -2*p + 7*y. Find n, given that 0 - 12/5*n**p - 3/5*n = 0. -1/4, 0 Let k(s) be the second derivative of 4*s**6/15 + 13*s**5/10 + s**4/2 + 5*s + 1. Determine f so that k(f) = 0. -3, -1/4, 0 Let u(t) be the third derivative of -t**7/42 + 3*t**6/8 - 5*t**5/4 - 125*t**4/24 + 235*t**2. Factor u(y). -5*y*(y - 5)**2*(y + 1) Let s(f) = -f**3 + f**2 - f - 1. Let c(r) = 7*r**3 - 14*r**2 + 19*r. Let b(t) = c(t) + 6*s(t). Factor b(k). (k - 6)*(k - 1)**2 Let j(b) be the first derivative of b**4/18 - 2*b**3/3 + 3*b**2 + 6*b + 13. Let q(d) be the first derivative of j(d). Factor q(c). 2*(c - 3)**2/3 Let f(a) be the first derivative of 7 + 57/16*a**4 + 25/8*a**6 + 21/2*a**5 - 6*a - 31/2*a**3 - 33/2*a**2. What is r in f(r) = 0? -2, -1, -2/5, 1 Suppose 0 = -j - 30 + 30. Let o(g) be the third derivative of 5*g**2 + 0*g + 2/33*g**3 - 1/330*g**5 + 1/132*g**4 + j. Factor o(b). -2*(b - 2)*(b + 1)/11 Suppose 3/4*j**2 + 3 + 4*j - 1/4*j**3 = 0. Calculate j. -2, -1, 6 Let u(f) be the first derivative of 1/2*f**3 + 0*f**4 - 4*f + 9 + 0*f**2 - 3/20*f**5. Let g(o) be the first derivative of u(o). Suppose g(j) = 0. Calculate j. -1, 0, 1 Let l = -59725683/254 + 235141. Let u = l + -2/127. Solve -u*o**2 + 0 + 1/2*o = 0 for o. 0, 1 Let r(t) = -5*t**2 + 30*t - 45. Let m(a) be the third derivative of a**5/12 - 5*a**4/4 + 15*a**3/2 - 7*a**2. Let n(x) = 5*m(x) + 6*r(x). Factor n(d). -5*(d - 3)**2 Suppose -o + 25 = 4*o. Let n be o + (-1)/(1/1). Solve -5*t**5 - 12*t**n + 3*t**4 + 7*t**4 + 3*t**5 = 0 for t. -1, 0 Let y be 53/((-265)/(-30)) - 9/(-12). Suppose y*c**2 - 3/2*c + 0 - 3*c**3 = 0. What is c? 0, 1/4, 2 Suppose p = 8*q - 3*q + 724, 5*q - 2871 = -4*p. Let y = -5024/7 + p. Determine r, given that 3/7*r**2 - 12/7*r + y = 0. 1, 3 Let z(h) = 0*h**2 + 0*h**2 + 3 + h**3 - 8*h**2 - 1. Let n be z(8). Let 25*f - f - 8*f + 44*f**4 + 132*f**3 + 80*f**n + 44*f**4 + 20*f**5 = 0. What is f? -2, -1, -2/5, 0 Let l = 405 - 8917/22. Let i = l - -79/110. Determine q so that 0 - 2/5*q + 2/5*q**3 + 2/5*q**4 - i*q**2 = 0. -1, 0, 1 Suppose 6 = 7*f - 15. Factor 4*c**3 - 8*c**2 + 5*c**4 + 4*c**5 - 4*c - 4*c**f + 3*c**4. 4*c*(c - 1)*(c + 1)**3 Let b be (-18)/6165*10/(-1 - -3). Let o = b + 151/959. Factor o*i**2 + 0 + 0*i. i**2/7 Let f = 55 + -51. Factor -46*i**2 + 2*i + 6*i + 58*i**2 + f*i**3. 4*i*(i + 1)*(i + 2) Let q(m) be the first derivative of 13 + 5/4*m**2 - 25/4*m - 1/12*m**3. Let q(y) = 0. What is y? 5 Suppose 18 - 52 + 14 + m**2 + 3*m**2 - 2*m + 2*m**3 + 16 = 0. Calculate m. -2, -1, 1 What is d in -20*d**3 - 65*d**2 - 5/4*d**4 + 0 - 60*d = 0? -12, -2, 0 Suppose 7*g - 8*g = -3. Factor 6*l**3 + l + 2*l**2 - g*l**3 - 4*l**3 - 2. -(l - 2)*(l - 1)*(l + 1) Let o be (20 - (-1792)/(-84))*((-27)/(-26))/(-3). Suppose o - 4/13*a**2 + 2/13*a = 0. Calculate a. -1, 3/2 Let c = -6 - -9. Suppose 4*f = g + 7, -4*f + 2*g - 8 + 14 = 0. Suppose 1/4*k**f - 1/4*k**c + 0 + 1/4*k - 1/4*k**4 = 0. Calculate k. -1, 0, 1 Suppose -32*u = -10*u - 66. Let n(z) be the third derivative of -7*z**2 - 1/8*z**u - 1/48*z**5 - 1/12*z**4 + 0*z + 0. Let n(w) = 0. Calculate w. -1, -3/5 Suppose -10*c + 2 = -6*c - 3*y, -2*c - 3*y + 10 = 0. Let u(a) be the second derivative of 0*a**c + 0 - 1/3*a**4 + 14*a + 2/3*a**3. Factor u(j). -4*j*(j - 1) Suppose -4*g + 24 = 2*y, 4*g + 6*y - y - 30 = 0. Let q(s) be the first derivative of 25/2*s**2 + 10*s - 10/3*s**3 - 25/4*s**4 - g. Factor q(w). -5*(w - 1)*(w + 1)*(5*w + 2) Solve n**2 - 55 - 4 - 32 - 90*n = 0. -1, 91 Let i(a) = -13*a**2 + 97*a. Let u(l) = 2*l**2 + 2*l. Let r(m) = -5*i(m) - 30*u(m). Let r(h) = 0. Calculate h. 0, 109 Let r(d) be the third derivative of 1/48*d**4 + 0 + 0*d**3 - 1/120*d**5 + 0*d + 7*d**2. Factor r(f). -f*(f - 1)/2 Let p(g) = -g + 1. Su
{ "pile_set_name": "DM Mathematics" }
-0.4 (c) v c Let j be (-2)/(3/12*-2). Let x = 42.1 + -42. Which is the closest to -0.02? (a) -0.5 (b) x (c) j b Let t = -0.25 + 0.35. Which is the nearest to -0.3? (a) -2 (b) 5 (c) t c Let d = -2 - 4. Which is the closest to -0.1? (a) d (b) 0.3 (c) -3 b Let u = 2.1 - 2. Let h = -55 - -54. Which is the closest to u? (a) -2 (b) 0.1 (c) h b Let m be 68/(-120) + (-4)/(-10). Let c = 0.04 + -0.04. What is the nearest to c in 5, -4, m? m Let h(w) = -w**3 - 3*w**2 - w - 4. Let u be h(-3). Which is the nearest to -0.3? (a) -3 (b) -2 (c) u c Let h = 1.05 - 0.05. Which is the nearest to 3? (a) h (b) -1 (c) -4 a Let z = 0.5 - 0.5. Let i = z - 0.4. Let k be (-5)/12 + 6/9. What is the nearest to 1/2 in k, 2/5, i? 2/5 Let k = 0 + 0. Let j = -3 - -3. Let x = 5 + -4.7. What is the nearest to j in x, k, 5? k Let w = 6 + -11. Let o = 2/5 - 1/15. Let q = 1 - 0.5. Which is the closest to o? (a) w (b) q (c) 0.1 b Let v be 8 + -8 + (-2)/(-67). Let r = v - 144/335. Which is the closest to -0.3? (a) -0.1 (b) -5 (c) r c Let h be 1/(-5) - 602/15. Let s = -40 - h. What is the closest to 1 in s, 3, 0? s Let b = 9.3 - 9. What is the nearest to -0.2 in 4, b, -2/3? -2/3 Let k = -134 - -1205/9. What is the closest to k in 0, 2, 0.1? 0 Let d = -0.4 - 1.2. Let p = d - -2. Let r = 0.3 + -0.2. Which is the nearest to r? (a) 0 (b) p (c) 4 a Let t be ((-9)/(-12))/(1/4). Let k be 1 + (-16)/(-6) - t. Let y = 0.3 - 0.2. Which is the nearest to -1? (a) -2 (b) y (c) k a Let s be (-7)/21 + 1483/21. Let u = s + -70. What is the closest to 1 in 1/4, u, 1/2? 1/2 Suppose -j = 2*j. Let s = 0.2 - 0.2. What is the closest to j in 5, s, -0.3? s Let y = -2.6 - -2.3. Which is the closest to -0.2? (a) -1 (b) y (c) 1/5 b Suppose -j = -1, -8*j = f - 3*j. Suppose s - 264 = 5*s - 2*i, -4*s - 264 = 4*i. Let u be 32/s + (-4)/(-6). Which is the closest to 1? (a) -0.4 (b) f (c) u c Let d = -6.1 - -6. What is the nearest to -2/3 in 2, d, 0? d Let d = 2 - 2. Let s = -0.1 - d. Let v = 19 - 173/9. Which is the closest to s? (a) 0.3 (b) v (c) -4 b Let d = 12 + -7. What is the closest to -2/5 in -3, 2/11, d? 2/11 Let n be 246/(-120) - 6/(-8). Let h = 4/5 + n. Let q = 7.3 + -7. What is the closest to h in q, 0.2, -3/7? -3/7 Let n = 3.1 + -3. Let g(y) = -y. Let l be g(-2). Which is the nearest to 1? (a) -2 (b) l (c) n c Let o = 2.3 + -2.6. What is the closest to 2/3 in o, -1/5, 1/9? 1/9 Let m = 21 - 22. Which is the closest to m? (a) -2 (b) -5 (c) -1 c Let j = 7 + -5.5. Let t = -12.5 - -12. Let r = j + t. Which is the closest to r? (a) -4 (b) -0.5 (c) 5 b Let y = -0.1 + 0. Let l = 1 - 4. Let h be ((-10)/120)/(((-44)/24)/11). What is the closest to y in h, 0.1, l? 0.1 Let g = 0.4 - 0.29. Let h = g - 0.08. Let l = 4.03 - h. What is the nearest to -0.1 in 0.4, l, -0.3? -0.3 Let j be ((0 - 0) + 1)/((-15)/(-30)). Which is the nearest to -0.2? (a) j (b) -1/27 (c) -0.1 c Suppose w + 8 = 4*h, -4*w - h + 9 = -27. Let z be 0 + 1/(w/10). Let t = 447/5 + -90. Which is the closest to -2? (a) t (b) 1/3 (c) z a Let s = -1518 + 4651/3. Let f = s - 32. Which is the nearest to -1/3? (a) -3 (b) f (c) -1/6 c Let p = -0.2 + -17.8. Let v = p - -17.9. Let l = -1.4 + 1. Which is the closest to v? (a) -0.2 (b) 2/9 (c) l a Suppose -d = -2*d + 1. Let j be (3 - 5) + (-18)/(-8). Which is the nearest to 1? (a) -0.4 (b) d (c) j b Let t = 0.11 + 3.89. What is the closest to -0.1 in 3, 2/11, t? 2/11 Suppose a + 3 = -4. What is the closest to 0.1 in -3, 2, a? 2 Let y(q) = q**2 + 7*q + 5. Let z be y(-4). Let o = 0.1 + 0.1. What is the nearest to -2/3 in o, z, -3? o Let k = -3.6 - -3.1. What is the nearest to -3 in k, -2, 1/4? -2 Let l = -2 - 1. Which is the nearest to 0? (a) 0.1 (b) l (c) -4/5 a Let x be 8/6*(-2 + 8). Let q = -5 + x. Suppose 0*d + q = -d. Which is the nearest to -0.1? (a) 2 (b) 0 (c) d b Let p = -55.8 - -56. What is the closest to p in 18, -1, 3? -1 Let u = -37 + 36.6. Let v = -1 + 0. Let o be (v/3)/(5/9). Which is the nearest to 0.1? (a) o (b) u (c) 4 b Let o = -74 - -74.4. Let f = 11 - 15. Let t be (f/21)/(4/6). Which is the nearest to -0.1? (a) o (b) 2 (c) t c Let w be (-149)/10 - (3 - 6). Let h = w + 97/10. Let d = h + 17/10. Which is the nearest to d? (a) 2 (b) 2/7 (c) 3 b Suppose 4*k = -3*c - 110, c - 42 - 86 = 5*k. Let b = k + 41. Suppose -3*w + b = 4*u - 5, -14 = u - 4*w. What is the closest to u in 0.1, -2, 0.2? 0.2 Suppose -3*l + 2*h = -35, l - 13 + 1 = h. Which is the nearest to -1? (a) l (b) -0.3 (c) -3 b Let x be ((-10)/105)/(6/(-14)). Let j = 3 + -7. Which is the closest to -1? (a) j (b) x (c) -1/3 c Suppose a = -2*l + 13, 1 = 4*a - 2*a - l. Let z = -1315 - -17127/13. Let t = 30/13 - z. What is the nearest to 2 in a, -1/2, t? a Let d(w) = -w**3 - 4*w**2 + 3*w - 7. Let m be d(-5). What is the nearest to -1/2 in m, 0.4, 2/11? 2/11 Let m be (2/9)/(4/6). Let y = 6 - 5. Which is the nearest to m? (a) -2 (b) y (c) -0.3 c Let z = 37 - 36. What is the closest to z in 0.5, -0.08, 3? 0.5 Let n = -113/2 + 343/6. What is the nearest to n in 0.4, 4, -2? 0.4 Let n = 0.5 + -0.2. Suppose -2*v + 0 = -4. Suppose -3*p + v = -p. What is the nearest to -1 in -4, n, p? n Suppose -1 - 1 = 2*q. Let h be -1 + (-548)/9 + 0. Let m = 62 + h. Which is the nearest to 0? (a) q (b) m (c) 0 c Suppose -4*p = 2*a + 28, -3*a - 2 = -3*p + 4*p. Suppose -18 = -5*t - 8. Let i be t/p - 2/(-8). What is the nearest to 0.1 in -0.5, i, -0.4? i Suppose 16 = -2*c + 5*b, 0 = -2*c - 2*c + 5*b - 22. Let q be (-3)/(-6) + (c - -3). What is the closest to q in -2/7, -2/5, 0? 0 Let d = -104 + 103. Let m = -1 + -2. Let q = m + 7. Which is the nearest to 1? (a) d (b) -4/7 (c) q b Suppose 0*z = 2*z + 4. What is the nearest to z in 1, -0.4, -2? -2 Let k = 23/3 - 7. What is the closest to k in -4, -0.3, -1/3? -0.3 Let j be (1/2)/(1/12). Suppose k + j = -2*k. Let c be 16/72 - 50/(-18). What is the nearest to k in c, -0.5, 0? -0.5 Let q = 6 - 5.8. Let x = q + -5.2. Which is the closest to 2/7? (a) -3/5 (b) 1 (c) x b Suppose -v = -6*v - 5. Let c = 0 + 0.1. What is the closest to c in v, -1/5, 0? 0 Let r = 0 + 0.1. Suppose -u - 25 = -26. What is the closest to 1/3 in u, -0.3, r? r Let m = 2 + -3. What is the closest to 1/4 in 2, m, 1? 1 Let m = -5/8 - -9/8. Let j = -41.9 + 42. What is the nearest to m in -0.1, j, -1? j Suppose 1 = -3*m - 2. What is the closest to -0.1 in -4, 0.5, m? 0.5 Suppose -4*m = 10 - 54. Suppose s + 3*c - 3 + m = 0, s = 3*c - 2. What is the closest to 1/7 in -0.4, 0.4, s? 0.4 Let v = 56 - 55.9. Which is the closest to v? (a) 1/3 (b) -4 (c) -10 a Let x be 6/(-15) + 54/(-14). Let m = x - -27/7. Let d = 2/7 - -1/21. What is the nearest to 1 in m, d, -4? d Let z = 6 + -7. Let t be 1 - ((-5)/3 + 2). Let w = -8.6 + 9. Which is the nearest to t? (a) -2 (b) z (c) w c Let p = -3 + 3. Let j = -59 - -58.7. Which is the nearest to 2/5? (a) j (b) -0.1 (c) p c Let d = -62.1 - -62. What is the nearest to d in -4, -3, 0.4? 0.4 Let z be 8/(-34)*2/(-4). Let q = 0.13 - 0.03. What is the nearest to q in z, 2, 4/9? z Let a = -0.29 + 0.38. What is the nearest to 0 in -5, -1, a? a Let d(t) = t + 9. Let a be d(-10). Let o be (a - -2)*-3 + -2. Let r be 18/(-28)*4/6. What is the nearest to 0 in r, o, 5/2? r Let o be 88/6*(-18)/4. Let i be (o/48)/((-1)/(-2)). Let f = i + 3. What is the nearest to -0.1 in 5, f, -5/4? f Let o = -29/3 - -19/2. Let l = -0.8 + 0.8. What is the nearest to 1 in -1/3, l, o? l Let q be (-12)/(-9)*9/6. What is the closest to 1 in q, 6, -3? q Let n = 8.1 + -8. What is the nearest to -1 in -3, -4, n? n Let w = -13/6 + 73/42. Let o be 16/6*2/(-24). Which is the closest to -1? (a) w (b) 5/2 (c) o a Let o = -18.5 + 15.49. Let g = o + 0.01. Which is the closest to 0? (a) -4/9 (b) 0 (c) g b Let r = -8 - -2. Which is the closest to -1? (a) 1/7 (b) r (c) -1/2 c Let t(g) = g**3 + 4*g**2 - 3*g - 8. Let f be t(-4). What is the closest to -2 in -4, -2/3, f? -2/3 Let m(s) = s**2 - 5*s + 5. Let l be m(5). Suppose -3 = 2*z - l. Let n = 2.93 - -0.07. What is the closest to z in 3/2, n, 5? 3/2 Suppose 2*q + 18 = 5*q. Let m = 6 - q. What is the closest to 1/5 in m, -1/5, 2/9? 2/9 Let i = -0.13 - -1.23. Let f = 1.6 - i. Which is the nearest to 0.1? (a) 3 (b) 3
{ "pile_set_name": "DM Mathematics" }
0897/6 Which is greater: -3082858 or -3082860? -3082858 Which is greater: -8/719329273 or 1? 1 Is -15/2 > 16262.7? False Which is greater: 3134914 or 3134900? 3134914 Which is greater: 10722938 or 10722974? 10722974 Which is bigger: 22 or -3944217? 22 Is 19308963 less than 19308963? False Which is bigger: 405785142/13 or 31214243? 31214243 Is -21087696 bigger than -21087694? False Is -8200687 <= -8200689? False Which is bigger: 0 or -21336/70351? 0 Which is greater: -106612484 or -106612486? -106612484 Which is greater: -24475 or 4678? 4678 Which is greater: 0 or -13/7504000? 0 Are 31/343799 and -1 nonequal? True Is 0.4 bigger than -11368294? True Are -1609188/47 and -34238 equal? False Which is bigger: -1 or -3700901? -1 Which is smaller: -10/123 or -80524? -80524 Which is greater: 41629123 or 41629134? 41629134 Is -1 <= -1364/33717? True Which is greater: 2/610213 or -5408? 2/610213 Is 6.5 <= 29614/3? True Which is greater: -3755931/28 or -134140? -134140 Which is bigger: 34119118 or 34119121? 34119121 Are 4021575 and 4021573 equal? False Are 1/20630071 and 0 unequal? True Which is bigger: 114001 or 114045? 114045 Which is smaller: -18345739 or -18345743? -18345743 Which is smaller: 15938/1409 or 12? 15938/1409 Are -1 and 1/708758077 equal? False Which is smaller: 91 or 30794? 91 Is 26070730 < -1? False Do -4721078 and -4721076 have different values? True Do -20369/18485 and -1 have different values? True Is 270578272 > 270578272? False Is 24319 at most as big as 291827/12? False Which is smaller: 975534 or 1? 1 Is 1.050993 greater than or equal to 2/103? True Which is smaller: 3/33345934 or 0? 0 Does -110 = 31/267473? False Which is bigger: -6 or -1.72759? -1.72759 Which is bigger: -1279/2704 or 5? 5 Does 8/13 = -3140.6? False Which is smaller: 229485608 or 229485606? 229485606 Which is smaller: -129104/4703 or -26? -129104/4703 Which is bigger: 1579639 or 1579660? 1579660 Is 41969942 greater than 41969944? False Which is smaller: -44451 or -39/20? -44451 Which is bigger: 33617.8358 or 0? 33617.8358 Which is greater: 303815/14 or -19? 303815/14 Which is smaller: -0.0525 or -1634.4? -1634.4 Which is bigger: 3309/118459 or 1? 1 Is 0 <= 14/30815? True Is -12331361 greater than or equal to -12331364? True Is -1353291/1169 at most -1159? False Is -7697724/215 bigger than -35803? False Which is greater: 2/22814951 or 1? 1 Is 0.2454416 bigger than -20? True Which is greater: 724597568 or 724597569? 724597569 Which is smaller: -251 or 453/1544? -251 Which is smaller: -763 or -143347? -143347 Which is smaller: -325 or -327191/1004? -327191/1004 Is 42793970 > 42793970? False Which is smaller: 2031 or 231395/114? 231395/114 Which is smaller: -402033 or -9246762/23? -9246762/23 Which is smaller: 0.67 or 1960.91? 0.67 Is -1 greater than 113/768863? False Is 67953617 <= 475675320/7? True Is 955/113093 bigger than 1? False Which is smaller: 228505 or 228466? 228466 Is -33145918 smaller than -33145915? True Is -17.06903 at least -0.03? False Is -116/7 smaller than -27746.3? False Which is smaller: -8202316 or -1? -8202316 Is -6/2569607 bigger than 2? False Which is bigger: -5 or 1766960? 1766960 Are 16621/57 and 293 non-equal? True Which is greater: 81216/929 or 88? 88 Is -83457 less than or equal to -83483? False Which is bigger: 6261820 or 6261907? 6261907 Is -5925045 <= -5925044? True Are -2306366 and -2306214 unequal? True Is 476.2 at least as big as -0.00032? True Does -1212554 = 1/88? False Which is smaller: -447/2722042 or 0? -447/2722042 Is -1 <= -8330/22849? True Which is greater: 5509 or 6069? 6069 Is -75.11949 > -1.8? False Which is bigger: -648025 or -7128262/11? -7128262/11 Which is greater: 1 or 531/1015000? 1 Which is bigger: 383 or -14487/10? 383 Which is smaller: -635/849176 or 0? -635/849176 Which is smaller: -107/100788 or -1? -1 Is -235915/8278 at least -27? False Is 3761/5 at most -0.06762? False Is -4782767 smaller than -4782767? False Which is bigger: 1 or 25/968857? 1 Which is greater: 882584 or 882590? 882590 Which is bigger: 1027433 or 1027431? 1027433 Are 39 and 1102755 equal? False Which is greater: 1 or -16/32341985? 1 Are -13234355 and -13234366 unequal? True Is -81625 > -80141? False Is 62836242 greater than 1? True Is 169986 >= 20738225/122? True Does -179297/140 = -1280? False Do 11.3853 and -0.62 have the same value? False Which is smaller: 21638/36499 or 2? 21638/36499 Which is smaller: -1.9 or 1917413? -1.9 Is -201498028/5 > -40299606? True Is -0.09 at least 0.0583742? False Which is bigger: 1114465/71 or -4? 1114465/71 Which is smaller: -0.203 or -65397? -65397 Is 38/7 less than 5827327? True Do -33655039 and -33655040 have different values? True Is -1028185 < -1028185? False Which is greater: -5/26 or -12677/3? -5/26 Which is bigger: -27.085 or 936? 936 Which is bigger: -2496137 or -2496144? -2496137 Which is greater: 4326 or 406541/94? 4326 Is -28054197 greater than -28054197? False Is 11 >= -4580191? True Is 1/565058464 > 1? False Which is greater: -2/177029 or 0? 0 Which is smaller: -33 or 12899.13? -33 Is 999/832 > 117/5? False Which is smaller: -60341248 or -60341250? -60341250 Is -67 at least as big as -24311/367? False Which is bigger: -19/1376701 or -1? -19/1376701 Which is smaller: -233608 or -233613? -233613 Is 40329 greater than 9? True Is -412234697 at most as big as -412234697? True Which is smaller: -593220 or -593231? -593231 Is 244 less than 115/1109? False Is -1990716 at most as big as -1990711? True Is -82563531 > -82563533? True Are 1/3 and -11/151750 equal? False Do -7 and 323182 have different values? True Which is smaller: 4388820 or 4388818? 4388818 Are 47851270 and 47851271 equal? False Which is bigger: -12666142 or -12666140? -12666140 Which is bigger: -104295989/9 or -11588444? -104295989/9 Is -19020810 at most as big as -19020808? True Which is smaller: 4250/2039 or 1? 1 Is 19389626 bigger than 19389626? False Is 17594577 less than or equal to 17594577? True Is 22150 at least 23771? False Is 1616 at most -19391/9? False Is -10301124 equal to -10301125? False Which is greater: 2051 or -2466/23? 2051 Is -1/395624177 at least as big as 0? False Which is greater: 261242 or 261255? 261255 Which is bigger: -232526 or -231415? -231415 Do 5057/176790 and -1 have different values? True Which is smaller: 34802/11 or -2? -2 Which is greater: -132504/31 or -4275? -132504/31 Is 0 less than or equal to 29/1262178? True Is 0 at most as big as -421/528235? False Is 110/486347 at least as big as 1? False Which is smaller: 2620395 or -2/7? -2/7 Are -1 and 306.91556 equal? False Which is smaller: -47398419 or -47398421? -47398421 Do 0.07448 and 38/997 have the same value? False Is -126945367 > -126945365? False Is -75566736 greater than or equal to -75566736? True Is 90619 less than or equal to 89144? False Which is smaller: 71864 or 1652892/23? 71864 Which is smaller: 0.332620492 or 0? 0 Which is smaller: -6285 or 9483? -6285 Which is smaller: 1 or -12/1702487? -12/1702487 Is -1 bigger than 1636/4035? False Which is bigger: 139/4000981 or 0? 139/4000981 Is 1944044 <= 1944054? True Which is smaller: 0.92 or -112.1236? -112.1236 Is 500118434 greater than or equal to 500118435? False Which is bigger: 2073.2 or -995? 2073.2 Which is bigger: -106.587 or -10? -10 Is -4083872 < -4083874? False Which is bigger: -18.52189 or 2/17? 2/17 Is -158977791 < -794888952/5? True Is 10/27 not equal to -82972? True Which is greater: -7 or 6100959? 6100959 Is 11/248394 greater than 1? False Which is smaller: 0.7 or 331/5046? 331/5046 Is 743 bigger than 2481/5? True Is 41600 at least as big as 40733? True Is 612225 greater than or equal to 612222? True Which is smaller: 12824 or 2/79721? 2/79721 Which is smaller: -1 or -100/49229? -1 Is -51422380 equal to -51422380? True Which is smaller: 58798741 or 58798740? 58798740 Is -4140076 smaller than 0.14? True Is -164448 at most -164535? False Is -27159.6 > -2.2? False Is -2993/17 < 502? True Is 82069 bigger than 11? True Is 27809/3 smaller than 9270? True Is -334883 greater than or equal to -335176? True Which is smaller: 10313/631 or 15? 15 Is 3980678 != 3980676? True Does -0.41 = -271803? False Are 20 and 15568/835 nonequal? True Which is bigger: -80119 or 7/12? 7/12 Which is big
{ "pile_set_name": "DM Mathematics" }
1235 What is the tenth root of 17262473 to the nearest integer? 5 What is 2792219 to the power of 1/7, to the nearest integer? 8 What is the cube root of 24624532 to the nearest integer? 291 What is 71805 to the power of 1/4, to the nearest integer? 16 What is the third root of 2426116 to the nearest integer? 134 What is the third root of 24529023 to the nearest integer? 291 What is the ninth root of 169030 to the nearest integer? 4 What is the square root of 115596 to the nearest integer? 340 What is 750740 to the power of 1/8, to the nearest integer? 5 What is the square root of 974066 to the nearest integer? 987 What is 17037206 to the power of 1/2, to the nearest integer? 4128 What is the eighth root of 227043 to the nearest integer? 5 What is the cube root of 2014429 to the nearest integer? 126 What is the sixth root of 1453149 to the nearest integer? 11 What is the cube root of 829560 to the nearest integer? 94 What is the square root of 760132 to the nearest integer? 872 What is the cube root of 726123 to the nearest integer? 90 What is the eighth root of 552614 to the nearest integer? 5 What is 11942464 to the power of 1/7, to the nearest integer? 10 What is 254760 to the power of 1/10, to the nearest integer? 3 What is the ninth root of 18246223 to the nearest integer? 6 What is the third root of 1056324 to the nearest integer? 102 What is 779629 to the power of 1/4, to the nearest integer? 30 What is 6512674 to the power of 1/2, to the nearest integer? 2552 What is the eighth root of 14651384 to the nearest integer? 8 What is 144304 to the power of 1/9, to the nearest integer? 4 What is the cube root of 4460606 to the nearest integer? 165 What is the square root of 108533 to the nearest integer? 329 What is 1265 to the power of 1/2, to the nearest integer? 36 What is 36930702 to the power of 1/2, to the nearest integer? 6077 What is 312042 to the power of 1/2, to the nearest integer? 559 What is 782498 to the power of 1/2, to the nearest integer? 885 What is the seventh root of 506769 to the nearest integer? 7 What is the square root of 77877 to the nearest integer? 279 What is 24377841 to the power of 1/8, to the nearest integer? 8 What is the third root of 402050 to the nearest integer? 74 What is 469690 to the power of 1/7, to the nearest integer? 6 What is the seventh root of 5618223 to the nearest integer? 9 What is 2812517 to the power of 1/10, to the nearest integer? 4 What is 395523 to the power of 1/8, to the nearest integer? 5 What is the tenth root of 498638 to the nearest integer? 4 What is 17269085 to the power of 1/9, to the nearest integer? 6 What is 42511370 to the power of 1/2, to the nearest integer? 6520 What is the square root of 105852 to the nearest integer? 325 What is 957193 to the power of 1/5, to the nearest integer? 16 What is 1423858 to the power of 1/10, to the nearest integer? 4 What is the third root of 13581437 to the nearest integer? 239 What is 1541190 to the power of 1/3, to the nearest integer? 116 What is 7915078 to the power of 1/8, to the nearest integer? 7 What is the cube root of 2206256 to the nearest integer? 130 What is the third root of 2762505 to the nearest integer? 140 What is 346189 to the power of 1/2, to the nearest integer? 588 What is 128938 to the power of 1/6, to the nearest integer? 7 What is 13957643 to the power of 1/2, to the nearest integer? 3736 What is 228503 to the power of 1/10, to the nearest integer? 3 What is the third root of 36581892 to the nearest integer? 332 What is the fourth root of 7301845 to the nearest integer? 52 What is 290222 to the power of 1/2, to the nearest integer? 539 What is 31402 to the power of 1/2, to the nearest integer? 177 What is the cube root of 3866578 to the nearest integer? 157 What is the tenth root of 310214 to the nearest integer? 4 What is 4055227 to the power of 1/3, to the nearest integer? 159 What is 2231427 to the power of 1/9, to the nearest integer? 5 What is 12129663 to the power of 1/2, to the nearest integer? 3483 What is the cube root of 1435198 to the nearest integer? 113 What is the square root of 5881406 to the nearest integer? 2425 What is the cube root of 2162915 to the nearest integer? 129 What is the square root of 2258313 to the nearest integer? 1503 What is 439533 to the power of 1/2, to the nearest integer? 663 What is the square root of 348469 to the nearest integer? 590 What is the fourth root of 382060 to the nearest integer? 25 What is 282325 to the power of 1/2, to the nearest integer? 531 What is 719279 to the power of 1/3, to the nearest integer? 90 What is 2880366 to the power of 1/6, to the nearest integer? 12 What is 13984110 to the power of 1/8, to the nearest integer? 8 What is the third root of 7307397 to the nearest integer? 194 What is 16250503 to the power of 1/2, to the nearest integer? 4031 What is the sixth root of 1678351 to the nearest integer? 11 What is the third root of 7839865 to the nearest integer? 199 What is the fourth root of 31925782 to the nearest integer? 75 What is 2792426 to the power of 1/3, to the nearest integer? 141 What is 46443 to the power of 1/6, to the nearest integer? 6 What is 1002416 to the power of 1/9, to the nearest integer? 5 What is the ninth root of 41549 to the nearest integer? 3 What is the cube root of 12479715 to the nearest integer? 232 What is the cube root of 240067 to the nearest integer? 62 What is the square root of 127731 to the nearest integer? 357 What is the cube root of 277642 to the nearest integer? 65 What is 1458178 to the power of 1/4, to the nearest integer? 35 What is the tenth root of 8046606 to the nearest integer? 5 What is 9226782 to the power of 1/9, to the nearest integer? 6 What is the seventh root of 229639 to the nearest integer? 6 What is the fifth root of 3458952 to the nearest integer? 20 What is the sixth root of 34779030 to the nearest integer? 18 What is the square root of 5601793 to the nearest integer? 2367 What is the square root of 36654339 to the nearest integer? 6054 What is 4749391 to the power of 1/2, to the nearest integer? 2179 What is the square root of 9149807 to the nearest integer? 3025 What is 712560 to the power of 1/3, to the nearest integer? 89 What is the seventh root of 10043481 to the nearest integer? 10 What is 3859004 to the power of 1/2, to the nearest integer? 1964 What is 31299378 to the power of 1/2, to the nearest integer? 5595 What is 4567388 to the power of 1/10, to the nearest integer? 5 What is 111747 to the power of 1/2, to the nearest integer? 334 What is the fourth root of 1088007 to the nearest integer? 32 What is the ninth root of 6727815 to the nearest integer? 6 What is the seventh root of 25630855 to the nearest integer? 11 What is the third root of 6347660 to the nearest integer? 185 What is 1549266 to the power of 1/3, to the nearest integer? 116 What is 6741659 to the power of 1/3, to the nearest integer? 189 What is the third root of 235049 to the nearest integer? 62 What is 160562 to the power of 1/2, to the nearest integer? 401 What is the third root of 193185 to the nearest integer? 58 What is 225150 to the power of 1/2, to the nearest integer? 474 What is the fifth root of 1465169 to the nearest integer? 17 What is 208721 to the power of 1/7, to the nearest integer? 6 What is 3071735 to the power of 1/8, to the nearest integer? 6 What is 91224 to the power of 1/2, to the nearest integer? 302 What is 26267532 to the power of 1/6, to the nearest integer? 17 What is 473586 to the power of 1/3, to the nearest integer? 78 What is the third root of 178149 to the nearest integer? 56 What is 3866716 to the power of 1/2, to the nearest integer? 1966 What is the third root of 581257 to the nearest integer? 83 What is the ninth root of 1712658 to the nearest integer? 5 What is the fourth root of 44790 to the nearest integer? 15 What is 381873 to the power of 1/2, to the nearest integer? 618 What is the third root of 202324 to the nearest integer? 59 What is 255857 to the power of 1/2, to the nearest integer? 506 What is 10723424 to the power of 1/3, to the nearest integer? 221 What is the square root of 1692465 to the nearest integer? 1301 What is 1123519 to the power of 1/3, to the n
{ "pile_set_name": "DM Mathematics" }
- 13*y + 4. Let k be l(13). Solve k*g + 3 + 1 = 0 for g. -1 Suppose -4*b + 3*u + 7 = -11, b - 8 = -u. Solve -w - w = -b for w. 3 Let z be 1/1 + -3 + 2. Suppose 0*t + t = -10. Let m = t + 15. Solve -m*x + 0 - 15 = z for x. -3 Suppose -j - 2*j - 35 = -b, 3*j + 29 = -2*b. Let h = 13 + j. Solve 0 = 4*d - 5*d + h for d. 2 Suppose 0 = -3*p - 5*x + 20, x = -0*x - 5. Solve 4*m - p - 1 = 0 for m. 4 Let x(t) = t**2 - 3*t - 2. Let g be x(5). Let w(i) = -i + 6. Let u(p) = -4*p**3 + p + 1. Let q be u(-1). Let a be w(q). Solve 3*m + a = g for m. 2 Suppose -2*z + 12 = 2*z. Suppose q = -z*q. Suppose -5*y = -q*y - 10. Solve -y*i = -7*i for i. 0 Let p(f) = -f**3 + 2*f**2 - 4*f. Let h be p(3). Suppose 0 = -5*d - n + 3*n - 54, 3*d - 2*n + 34 = 0. Let z = d - h. Solve 0 = 3*a - z + 2 for a. 3 Let g be (-4 - 147/(-36)) + (-22)/(-24). Let w(d) = d**2 - 3*d + 6. Let k be w(5). Solve k - g = -3*c for c. -5 Let q(d) = -3*d - 28. Let l(a) = -a - 9. Let u(k) = 11*l(k) - 4*q(k). Let i be u(-7). Solve 2*p = 5*p + i for p. -2 Suppose g - 4*g + 32 = 5*q, -3*g = -3*q. Suppose 8 = -g*b + 4*c, -b + 28 = -0*b + 5*c. Suppose -2*a - 4 = -4*d - 3*a, a + 3 = 3*d. Solve m - d = b for m. 4 Let w be 0/(2/(2 - 0)). Let i = 5 + -1. Suppose -28 = -i*d + l - 4, l + 4 = 0. Solve -o + 4 - d = w for o. -1 Let p(m) = m**3 - 6*m**2 + 5*m + 2. Suppose -3*s + 3*l = -3 - 15, -l - 11 = -2*s. Let c be p(s). Solve -c*j - 1 = -3 for j. 1 Let m be 11 + -4*(-3)/12. Suppose -2*y + q + 3*q + 12 = 0, -y - 4*q = m. Solve y = -u + 4 - 2 for u. 2 Let k(h) = 8*h + 28. Let n be k(-3). Solve -n = m - 0 for m. -4 Let o(n) = -n**2 + 3*n + 4. Let l(t) = t**2 - 8*t - 6. Let y be l(9). Let c be o(y). Solve c = -4*r - 12 for r. -4 Let x(y) = -y + 1. Let v be x(-3). Suppose 10*l + 2*k = 5*l + 159, 4*l + 2*k = 126. Let i = l + -13. Solve -v*c = c + i for c. -4 Let x = 16 + -6. Let b = -10 + x. Solve 4*r + 16 + b = 0 for r. -4 Let x = -32 - -40. Suppose z = -3*z + 3*p + 16, z + 3*p = 4. Let q(v) = v**3 - 9*v**2 + v - 5. Let u be q(9). Solve x = u*c - z for c. 3 Let k be (-5 + 8/2)/(1/(-3)). Solve -5*u + 12 = -k for u. 3 Let x = -4 + 7. Suppose 4*f = -r + 4*r + 12, 5*f = x*r + 12. Let w = r + 4. Solve w = -0*j - 2*j for j. 0 Suppose 4*n - 6 = -2*b, 2*n = b + 2 - 1. Solve -s + 0 = -n for s. 1 Let i(o) = -o**3 + 6*o**2 + 2*o - 4. Let r be i(6). Solve 4*m - 16 = r*m for m. -4 Let v = -3 - -7. Let i(o) = v*o - 2*o + 8 - 3*o. Let f be i(6). Solve 0 = -f*w - 2 - 0 for w. -1 Suppose -9 = 11*j - 14*j. Suppose 2*b + 4 = 10. Solve b*v = 6*v + j for v. -1 Let i(t) = t**2 + 15*t + 29. Let h be i(-13). Solve -4 + 13 = -h*s for s. -3 Suppose 11 = 5*r + 1. Solve 0 = -r*n - n + 12 for n. 4 Let s be 2/(2 + (-8)/5). Solve -2*u + 7*u + s = 0 for u. -1 Suppose -c + 3 = -0*c, -3*c + 9 = 2*o. Suppose -3*b = -6*b. Suppose 22 = 3*h + 2*h - 3*n, -4*h - 2*n = b. Solve h*s + 3*s = o for s. 0 Let n(h) = h**3 - 20*h**2 + 2*h - 26. Let x be n(20). Solve x = 5*j - 11 for j. 5 Let c(z) = -z**3 + 6*z**2 - 2*z. Let w be c(5). Solve 0*r - 3*r + w = 0 for r. 5 Let o = -19 - -34. Solve 0*q = 5*q + o for q. -3 Let y(m) = -m + 9. Suppose 0 = -4*c + 24 + 4. Let l be y(c). Solve l*w + 6 + 4 = 0 for w. -5 Suppose 2*o - 2*a - 11 = 1, 5*o + 4*a + 6 = 0. Suppose -3*r - k + 7 = r, 5*r - 8 = -k. Solve -o = -y + r for y. 3 Let l = -18 - -9. Let t be (-28)/(-14)*l/(-2). Solve -t = -2*x - x for x. 3 Let f be -1*30/3*-2. Suppose -4*u - f = -8*u. Solve 0 = -u*k + 12 + 13 for k. 5 Let i = 19 - 16. Let g = 15 - 11. Solve -i*c = -g - 2 for c. 2 Suppose -5*q + 9 + 11 = 0. Solve -q*l - l - 25 = 0 for l. -5 Suppose 0*q - 2*q = 10. Let f = q - -5. Solve -2*u + u = f for u. 0 Suppose -8 = -3*o + 7. Let f(q) = q**3 - 2*q**2 - 3*q + 3. Let j be f(3). Suppose 4*h - 27 = -j*g, -2*h + 33 = o*g + 2. Solve -g*z - 4 = -29 for z. 5 Suppose 2*d + d = 0. Suppose -2*c - 3*l - 4 = d, 6*c - 4*c - 2*l = 16. Solve c = -2*h + 10 for h. 3 Let n(s) = 2*s + 22. Let a be n(-11). Solve r + 1 = -a for r. -1 Let c(u) = -u**3 - 6*u**2 + u + 8. Let t be c(-6). Let w = -7 + t. Let v = 5 + w. Solve n + v*n = -5 for n. -5 Let b(g) = -g**2 - 13*g - 27. Let a be b(-10). Solve x + a*x = -12 for x. -3 Suppose 5*l = -4*a + 22, 46 = 4*a - 5*l + 4. Solve -10 + a = -2*j for j. 1 Suppose 2*p + j - 2*j = -20, 5*j - 19 = p. Let k be (6/18)/((-1)/p). Solve -4*i - k = 1 for i. -1 Let g(t) = t**2 - 11*t - 9. Let c be g(12). Solve 2*k = -c*k - 25 for k. -5 Suppose -5*c + 2*q - 20 = -0*q, -4*c + 5*q = -1. Let d be 4/c - (-52)/(-12). Let b be ((-3)/d)/(1/5). Solve -u + 7 = b for u. 4 Let y be (0 - 3)/(2/(-4)). Let k(u) = -u + 1. Let s be k(-3). Let f = 7 - s. Solve f = -3*i + y for i. 1 Suppose f - 30 = -4*f. Let m be 116/10 + f/15. Solve -m = x + 2*x for x. -4 Let r(q) be the first derivative of q**4/4 - 5*q**3/3 - 3*q**2 + 4*q + 1. Let g be r(6). Suppose 15*x + 60 = 20*x. Solve x = g*z - z for z. 4 Let s be 3 + 1 + -13 - -3. Let p = 3 - s. Solve p + 3 = 3*o for o. 4 Suppose 3*k + 2*j = -4, -3*k + j = -2*j - 21. Solve -16 + 6 = -k*p for p. 5 Let c(i) = -i**2 + i. Let h be c(0). Solve -1 = -h*r - r for r. 1 Suppose 6*s - 2*s = -8, -2*s = -3*l + 22. Let o(r) = r**2 + 6*r + 5. Let b be o(-5). Let v be (-4)/(-6)*(b + 3). Solve v*z = l*z for z. 0 Suppose -3*h = 14 - 2. Let q be (6/h)/(5/(-10)). Solve q*m = -2*m for m. 0 Let i be 36/(-10) + (-4)/10. Let o be (5 - 6) + (2 - i). Suppose 0 = -t + 5*u - 3, t + t + 5*u - 9 = 0. Solve 0 = -t*n + o*n + 15 for n. -5 Let w(g) = 8*g**3 + 2*g - 1. Let n be w(1). Solve n = -4*q - 11 for q. -5 Suppose 0 = 4*m - 5 - 15. Suppose x - 23 = -m*s, -4*s = -3*s - 5*x - 15. Solve -4 = s*p - 4*p for p. -4 Suppose 5*t - 22 = -3*k, -4*t - 3*k = -6 - 14. Suppose 3*i + 0 = -p - 22, 4 = -t*p + 2*i. Let a(s) = s**2 + 6*s - 2. Let c be a(p). Solve 16 = -c*z + z for z. -4 Let t(r) = 3*r + 1. Suppose 0 = -5*m + 4 + 1. Let q be t(m). Solve 5*a = a + q for a. 1 Let n(a) = a + 16. Let z be n(-8). Solve 0 = -r + 3*r + z for r. -4 Let c be (1 - 2 - -2) + 0 + -1. Solve 2*o + 0*o + 2 = c for o. -1 Let a(h) = h + 16. Let w be a(-14). Solve -4 = -w*r + 6 for r. 5 Let j = -10 + 17. Suppose -j = -3*w - 2*b, 2*w + 5*b + 16 = 6. Solve 0 = -4*i - 13 + w for i. -2 Let h = -5 + -2. Let i = 9 + h. Solve i*z = -2*z + 16 for z. 4 Suppose 0*x - 110 = -5*x. Let t be -3 - (-2)/2*x. Solve t = 4*w - 1 for w. 5 Let n(y) = -2*y**2 + y + 5. Let m be n(0). Solve -m*i + 4*i - 3 = 0 for i. -3 Let s = -12 + 16. Let c(f) = -f + 4. Let o be c(s). Solve o = -2*z + 5*z + 9 for z. -3 Let y(i) = 7*i + 2. Let r(q) = -6*q - 2. Let p(b) = 6*r(b) + 5*y(b). Let n be p(-3). Solve -n = -5*g - 6 for g. -1 Let r = -30 - -30. Solve -6*n + n - 25 = r for n. -5 Let n = 6 - 4. Let b be 20*n/(-3 + 7). Suppose 0 = -j - d + 2, 6*j = j + 2*d + b. Solve j*s - 4 = s for s. 4 Let t(k) = -2*k**3 + 3*k**3 + 5 + 4 + k**2. Let r be t(0). Solve r = -4*j - 11 for j. -5 Suppose 90 = 4*t + f, 2*t - 3*f = 28 + 24. Let k = t + -18. Solve -q + k*q + 16 = 0 for q. -4 Let n = 50 + -26. Suppose -n = -2*s - 2*s. Suppose -8 = -2*z + s. Solve -4*j - 1 = z for j. -2 Suppose 0 = -3*q - 2*q + 15. Solve -q*t - 1 = -7 for t. 2 Suppose 0 = -m + 2*m + 5*t + 5, t = -3*m - 1. Let r = 4 - m. Let k(x) = 4*x**3 - 2*x + 1. Let c be k(1). Solve -r*b + 5 = -c*b for b. 5 Let q be (3 - 22/8)*12. Let o(s) = -s**2 + 3. Let j be o(0). Suppose -j*y - 5 = -8*y, -3*w - 4*y = -25. Solve q*n - 2 = w for n. 3 Suppose -9*o + 7 = -8*o. Solve 0 = o*c - 2*c for c. 0 Let f(h) = h**3 - h**2 + h - 1. Let j be f(1). Let x = 21 + -17. Let u be 61/x + 4/(-16). Solve 2*o + 3*o - u = j for o. 3 Let x be (2 - 4)*45/(-30). Solve x = 4*f - 5 for f. 2 Let y(p) = 5*p + 1. Let x be y(1). Suppose -x = -a - 2*n, -19 = -a + 2*n - 5. Solve -2*t + 0*t = a for t. -5 Let a(z) = -z**2 + 6*z + 2. Let v = -7 + 13. Let r be a(v). Solve -c + 5 = r for c. 3 Let o = 3 + 0. Let j = o - 11. Let v be j*(-1)/2*1. Solve -v = l - 1 for l. -3 Let r = 6 - 13. Let a(z) be the second derivative of z**3/6 + 5*z**2 + 8*z. Let j be a(r). Solve -j*o + 7 - 1 = 0 for o. 2 Let b(f) = 5*f**3 + f**2 - f. Let r be b(1). Let d = -5 + r. Let j be 0/((1 + d)*-2). Solve j*n = -n - 3 for n. -3 Let t be 16/(-40) + (-34)/(-10). Let a be 0/((t - 1)/2). Solve x = -a*x for x. 0 Suppose -k - 4*k - 20 = 0. Suppose 2*r + 3 = -3*b - 4, 5*r + 25 = 0. Let w be (b + k)/((-
{ "pile_set_name": "DM Mathematics" }
Let w(f) = y*n(f) - 6*j(f). What is the derivative of w(k) wrt k? 226 Suppose 4*o = 2*o + 4. Suppose 255 = -6*y + 267. What is the first derivative of -50*n + 5 + 50*n - 5*n**2 - o*n**y wrt n? -14*n Let o(r) = r**2 - 7*r - 4. Let n be o(8). What is the second derivative of -1 - 60*y**4 - 179*y - 26*y**n + 173*y wrt y? -1032*y**2 Let g(c) be the third derivative of 337*c**8/336 + c**4/8 + 65*c**3/6 - 1191*c**2. What is the second derivative of g(j) wrt j? 6740*j**3 Let r = 1088 - 2171/2. Let z(l) be the first derivative of -r*l**2 + 11*l + 19. What is the first derivative of z(m) wrt m? -5 Let y(a) be the first derivative of a**7/7 + 13*a**5/5 + 1463*a**3/3 - 1025. Find the third derivative of y(u) wrt u. 120*u**3 + 312*u Let p(v) = 6*v + 40. Let h be p(-6). Let q(b) = b**3 - b**2 - 8*b + 6. Let s be q(h). Find the second derivative of 2*x**3 - 3*x + 23*x**3 - 5*x - s*x wrt x. 150*x Let d = 3342 - -584. What is the third derivative of -46*a**4 - 3926*a + d*a + 18 + 3*a**2 wrt a? -1104*a Let s(u) be the third derivative of 97*u**5/60 + 233*u**4/12 + 1635*u**2. What is the second derivative of s(o) wrt o? 194 Let v(r) = 6*r + 4. Let c(j) = -7*j - 5. Let l(f) = -4*c(f) - 5*v(f). Let a be l(-5). Differentiate -2*m + 4*m + a*m - 8 wrt m. 12 Suppose 18*o + 91 = 5*o. Let t(i) = 114*i - 2. Let s(r) = 57*r - 2. Let g(x) = o*s(x) + 3*t(x). What is the first derivative of g(u) wrt u? -57 Let n(m) = -m**4 - m**3 + 2*m**2. Let z(g) = 25*g**4 - g**3 - 16*g**2 + g - 1029. Let b(d) = n(d) - z(d). Find the second derivative of b(p) wrt p. -312*p**2 + 36 Let j(m) = 1310*m**3 + 3*m**2 - 618*m - 4. Let d(z) = -655*z**3 - z**2 + 313*z + 2. Let n(x) = 7*d(x) + 3*j(x). What is the second derivative of n(l) wrt l? -3930*l + 4 Suppose 2*g + 22 - 2 = 0. Let i = 40 + g. Differentiate 19*p**4 + 30*p + 1 - 3 - i*p with respect to p. 76*p**3 Let x(o) be the third derivative of -379*o**8/336 + 239*o**5/15 + 281*o**2 - 3. Find the third derivative of x(r) wrt r. -22740*r**2 Let t be -1 + -1 + (-10)/5. Let q(o) = -3*o**2 + 7*o - 50. Let h(f) = -5*f**2 + 13*f - 101. Let y(c) = t*h(c) + 7*q(c). Find the first derivative of y(j) wrt j. -2*j - 3 Let p = 25 - 20. Suppose p - 3 = w. What is the first derivative of 4*k**4 - 1 + 4 + w*k**4 wrt k? 24*k**3 Let n(j) be the second derivative of j**5/10 + 68*j**4 + 433*j**3/3 + 7*j - 334. What is the second derivative of n(b) wrt b? 12*b + 1632 Let v be (-14)/(-6) + (-2)/6 - 0. What is the third derivative of 0*y**4 + 30*y**3 + 14 + 77*y**2 + 0*y**4 - y**6 - 75*y**v wrt y? -120*y**3 + 180 Suppose 0 = 3*s - 2*s + 2. Let u be (2 - 2 - -1) + 4 + s. Find the second derivative of 6*y**3 - 2*y**u + 5*y**3 + 3*y**3 + 21*y wrt y. 72*y Let a = 151 + -102. What is the third derivative of 2 - 3*l**5 + 22*l**2 + 47*l - a*l - 2 - 11*l**3 wrt l? -180*l**2 - 66 Let y be 220/8*(-4)/5. Let s = -10 - y. Find the third derivative of v**2 - 10*v**5 - 5*v**2 - v**2 + s*v**5 wrt v. 120*v**2 Let v(k) be the third derivative of 0*k**4 + 1/30*k**5 - 1 - 5/24*k**6 + 2*k**3 + 0*k + 49*k**2 + 1/210*k**7. What is the third derivative of v(n) wrt n? 24*n - 150 Let v(l) = -l**3 + 15*l**2 + 16*l + 2. Suppose -17*s + 83 = -189. Let f be v(s). What is the third derivative of 6*b**6 + 11*b**f + 18*b**6 + 3 - 3 wrt b? 2880*b**3 Let p(u) = u**2 + 87*u + 902. Let k be p(-75). Let a(y) be the first derivative of 3*y**k - 16/3*y**3 + 0*y + 15. What is the second derivative of a(j) wrt j? -32 Suppose 112*a + 78 = 118*a. What is the third derivative of 9*d**2 + 28*d**5 + a*d**5 - 5 - 36*d**5 + 4*d**4 wrt d? 300*d**2 + 96*d Let b be (-112)/(-70) + 4/10. What is the second derivative of 18*n - 11*n**b + 16*n - 2 - 9*n**2 - 33*n wrt n? -40 Let p(b) = 5666*b**3 + 244*b**2 - 1. Let u(y) = 2*y**3 + 3*y**2 + 1. Let j(k) = p(k) + 5*u(k). Find the third derivative of j(d) wrt d. 34056 Let i(h) = h**2 - 3*h + 40. Let r be i(0). Find the second derivative of 5*x**3 - 7*x + 0*x**2 + x**2 - r*x wrt x. 30*x + 2 Let l be ((75/(-12))/(-1))/(2/16). Find the second derivative of 32 + d + 25*d**2 + l*d**2 + d + d - 6*d**2 wrt d. 138 Let c(m) be the second derivative of 1013*m**5/20 - 8*m**4/3 + m**2/2 + 6*m - 91. What is the third derivative of c(s) wrt s? 6078 What is the second derivative of 59*b + 6*b**5 - 816*b + 2449*b**4 - 29*b**3 + 12*b**2 - 8*b**2 - 1 - 2449*b**4 wrt b? 120*b**3 - 174*b + 8 Let a(j) be the first derivative of -237*j + 139/2*j**2 + 93. Find the first derivative of a(z) wrt z. 139 Let f(j) be the first derivative of 11*j**6/10 + 59*j**3/3 + 71*j**2/2 - 88. Let v(l) be the second derivative of f(l). Differentiate v(c) wrt c. 396*c**2 Find the third derivative of -26*m**2 - 32*m**6 + 2*m + 1127*m**5 + 29*m**6 - 1110*m**5 wrt m. -360*m**3 + 1020*m**2 Let l be ((-2)/5 - 1/10)*-4. What is the third derivative of 46*m**l + 55*m**2 + 3 - 256*m**3 - 271*m**2 - 1 wrt m? -1536 Let d(h) be the second derivative of 0*h**5 + 31/2*h**2 + 3 - 3/5*h**6 - 5*h + 1/6*h**4 + 0*h**3. What is the third derivative of d(u) wrt u? -432*u Let v(p) = p**2 - 460*p - 928. Let f(q) = -q**2 + 476*q + 929. Let w(t) = -2*f(t) - 3*v(t). Differentiate w(z) with respect to z. -2*z + 428 What is the derivative of -317 + 187 - 428 + 9*t**2 - 28*t**3 - 16*t**2 - 1179 wrt t? -84*t**2 - 14*t Let l(z) = -z + 3. Let h(u) = -227*u - 1405. Let j(q) = -h(q) - 5*l(q). What is the first derivative of j(i) wrt i? 232 Let t be -3*((-16)/6 + 2). Suppose 0 = -5*i - 2*p + 7, -t*p + 3 = -3*i - 5*p. Differentiate -19 - 2 + 25*u**3 - 32*u**i with respect to u. -21*u**2 Suppose j - 5 + 8 = -i, i = -3*j - 3. Suppose j = -2*y + 10 - 4. Differentiate 10 - 12*f**y + 7 - 14*f**3 + 9*f**3 with respect to f. -51*f**2 Let f = -490 - -541. Let y(s) = 617*s + 359. Let z(c) = 77*c + 45. Let h(p) = f*z(p) - 6*y(p). Differentiate h(g) wrt g. 225 Let a(d) = -16*d + 4. Let n be a(0). Find the first derivative of -25 - 4*k**n + 39*k**4 + 108 wrt k. 140*k**3 Let a(k) = -301*k - 6406. Let c(b) = -289*b - 6405. Let p(m) = 5*a(m) - 6*c(m). Differentiate p(r) wrt r. 229 Let r(t) be the third derivative of -t**6/24 + 19*t**5/12 + t**4/12 + 1151*t**3/2 + 1160*t**2. What is the derivative of r(s) wrt s? -15*s**2 + 190*s + 2 Suppose 10*t - 352 = -6*t. Differentiate -6*x + 2*x - t - 5*x - x**2 + 2*x wrt x. -2*x - 7 Let h(b) be the third derivative of -37*b**6/30 + b**4/8 + 170*b**3/3 + 2956*b**2. What is the derivative of h(s) wrt s? -444*s**2 + 3 Let o(s) be the first derivative of -6*s - 55/6*s**6 - 134 + 0*s**4 + 0*s**3 + 2/5*s**5 - 1/2*s**2. What is the second derivative of o(h) wrt h? -1100*h**3 + 24*h**2 Find the third derivative of -12*f - 90*f**2 + 50*f**2 + 10*f + 2477*f**6 - 322*f**2 wrt f. 297240*f**3 Let y(n) be the first derivative of -5947*n**2/2 - 270*n - 4812. Differentiate y(g) with respect to g. -5947 Suppose 110660 = 4*y + 37744. Find the second derivative of y*v**2 - 18229*v**2 + 164*v - 177*v**3 wrt v. -1062*v Let n(d) be the third derivative of -95*d**8/16 - 359*d**4/8 + 1408*d**2. What is the second derivative of n(y) wrt y? -39900*y**3 Let j(t) = -1554*t**2 - 21*t + 3781. Let w(o) = -777*o**2 - 9*o + 1893. Let b(d) = -3*j(d) + 7*w(d). Find the first derivative of b(i) wrt i. -1554*i Let x(l) = l**3 - 23*l**2 + 24*l - 24. Let z be x(22). Let j be -10*(-3)/18*24/z. Find the third derivative of -75*a**6 + 71*a**6 - 11*a**2 - 6*a**j wrt a. -480*a**3 Find the first derivative of 678 + 1105*z + 50 - 429*z - 270*z wrt z. 406 Let m(v) be the second derivative of 0 + 117*v**2 + 178*v + 0*v**3 + 1/30*v**6 + 7/5*v**5 + 1/6*v**4. Find the third derivative of m(h) wrt h. 24*h + 168 Suppose 2*g - 20 = -4*o, 0*g + 4*g = 4*o + 4. What is the second derivative of 38*p**3 + 13*p + 0*p**o - 57*p**3 - 52*p**3 wrt p? -426*p Let v(c) = -1983*c**2 - 1077*c + 4. Let a(m) = -1982*m**2 - 1080*m + 6. Let o(z) = -2*a(z) + 3*v(z). What is the second derivative of o(h) wrt h? -3970 Let n(r) be the second derivative of 0*r**2 - 1/2*r**4 + 17/2*r**3 + 2 + 28*r. What is the second derivative of n(z) wrt z? -12 Find the third derivative of 33*v**3 + 2*v**3 + 1341*v**2 - 8*v**6 - 5415*v**2 + v**5 - 4795*v**2 wrt v. -960*v**3 + 60*v**2 + 210 Suppose -4*o + 2*l = l - 16, -2*o + 8 = -4*l. Let i = 2 - -2. Find the second derivative of -7*d - 5*d - 436*d**o + 445*d**i
{ "pile_set_name": "DM Mathematics" }
a**4 as t + i*a + k*a**2 + n*a**4 + z*a**3 and give i. 0 Express 21*z**3 + 44*z**3 - 44*z**3 + (-3*z + z + z)*(-3*z + 3*z - z**2) in the form v + x*z**3 + g*z**2 + j*z and give x. 22 Rearrange -3*b**3 + 2*b**3 - 3*b + 4*b + 2*b**4 - 1 to the form g*b + j + p*b**3 + l*b**2 + i*b**4 and give g. 1 Express -5 + 2 + 69*s**2 + 3 as k + p*s**2 + v*s and give p. 69 Rearrange 7*w**2 - 8*w**2 + 2*w**2 + 5*w to s*w + h*w**2 + q and give h. 1 Rearrange -51*h**2 - 3*h**2 + 9*h**2 to the form o + m*h**2 + q*h and give q. 0 Rearrange -47*b - 2 + 3 - 1 to the form z*b + f and give z. -47 Rearrange (f + 2*f + 0*f + 2*f)*(-16 - 23 + 5) to b + y*f and give y. -170 Express j - 5*j - 4*j as k + n*j and give n. -8 Express (y + 3*y - y)*(0*y + y + 2*y) + (y + 2*y - 2*y)*(-y + 5*y - 5*y) + 0*y + 2*y**2 + 0*y as b*y + w*y**2 + z and give w. 10 Rearrange -21*x + 7*x - 15*x to the form i + j*x and give j. -29 Rearrange (-2 + 3 - 3)*(4*v + 2*v**4 - 10*v**3 - 4*v) to d*v + s*v**3 + t*v**2 + a*v**4 + k and give s. 20 Express (-3 + 0*o**2 - 4*o**2 + 0*o**2)*(0*o + o + o) in the form t*o**3 + z + h*o + r*o**2 and give r. 0 Rearrange 96*k - 96*k - k**2 to the form w*k**2 + o*k + s and give w. -1 Express 2*g**4 - 2*g**3 + 11*g**3 + g**2 + 9*g - 8*g**3 + 0*g**4 as b*g**4 + z + l*g**2 + o*g**3 + c*g and give c. 9 Express 2 - 14*h - 2 in the form l + i*h and give i. -14 Rearrange (q**3 - 4*q**3 + q**3)*((-2 + 5 - 1)*(q + 0*q - 10*q) - 3 + 3 - q) to the form p*q**2 + x + y*q**3 + v*q**4 + f*q and give v. 38 Rearrange 47 - 47 + 36*y**4 + (-2*y**3 - 5*y + 5*y)*(0*y - 4*y + 2*y) to q*y + j*y**2 + d + t*y**3 + x*y**4 and give x. 40 Rearrange 83*t**4 - 23*t**3 + 23*t**3 + (0*t**2 - t**2 + 0*t**2)*(-t + t + 2*t**2) to the form h + y*t + i*t**4 + m*t**3 + n*t**2 and give i. 81 Express 2*u**2 - 7*u + 3*u - 3*u**2 - 3*u - 2*u**4 + 2 as n*u + j*u**2 + i + o*u**3 + q*u**4 and give n. -7 Express d**2 + 0*d**2 - 3*d**2 + 2*d**2 + d**2 - 4*d**2 + (4*d + 0*d - 6*d)*(0*d + 2*d + d) + 3*d + d**2 - 3*d as u*d + q + f*d**2 and give u. 0 Rearrange 16*h + 6*h + 0 + 0 to the form t*h + c and give t. 22 Rearrange 21*i**2 - 8*i**2 + 2*i**2 + 9*i**2 to the form p + u*i**2 + f*i and give u. 24 Rearrange -6*i**2 - 12*i + 6*i**2 - 2*i**2 to the form z + h*i + y*i**2 and give h. -12 Rearrange (-12 - 12 + 6)*(4*u + u - u) to the form a + q*u and give a. 0 Rearrange (-3*o + o - 1 - 1)*(-8*o + 0*o + 0*o) to the form d*o**2 + k*o + u and give k. 16 Rearrange 3 + 2*i**2 + 4*i**2 + 2*i**2 to the form n*i**2 + x + j*i and give x. 3 Rearrange (-11*n**3 + 24*n**3 - 6*n**3)*(1 + 2*n - 1) to the form i*n**4 + s*n**3 + y*n + w + c*n**2 and give i. 14 Rearrange 8 - 56 + 2196*j - 2198*j to k + n*j and give n. -2 Rearrange 2 + 10*v**4 - 3*v**3 - 10*v**4 - 2*v**2 - v + 3*v**4 to the form q*v**3 + f*v**2 + j + g*v**4 + w*v and give q. -3 Rearrange (-2*i - i + 2*i + 2 - 2 + i + (-2 - 3 + 6)*(2*i + 0 + 0))*(9*i - i + 4*i) to u + t*i + h*i**2 and give h. 24 Express -3*p**2 + 133 + p**2 - 133 as c*p**2 + d*p + r and give c. -2 Express (-2*n**2 + 3*n**2 - 2*n**2)*(534 - 534 - n) in the form d + j*n + i*n**3 + x*n**2 and give i. 1 Express (-3*z + 0*z + 4*z)*(0*z - z + 3*z) + (5*z + z - 3*z)*(7*z - 4*z - 2*z) in the form j*z**2 + o + x*z and give j. 5 Express ((-2 - 2 + 1)*(-4 + 0 + 1) + 6 - 4 - 4)*(1 + 4 - 3)*(3*a**3 + 2*a**3 - 6*a**3) as r + t*a**2 + z*a**3 + y*a and give z. -14 Rearrange (6 + 1 - 4)*(2 - 6 + 3)*(5*k - 4*k - 5*k)*(-k**2 - 7*k**2 + k**2) to the form n*k**2 + a*k**3 + r*k + t and give a. -84 Rearrange -b + 0*b + 6*b + (-2 - 1 + 1)*(-3 + 3 + 2*b) - 2 + 2 - 2*b - 2 + 0*b + 4*b - 2*b to the form o*b + y and give y. -2 Express (4*b**2 - 6*b**2 + b**2)*(0 - 5 + 4)*(0*b + b + 5*b) as m*b**3 + j*b + q*b**2 + n and give m. 6 Rearrange 1 + 6 - 7 + 64*k to the form r + v*k and give v. 64 Express -887*z**3 + 15*z + 9*z + 4 - 3 + 2*z**2 + 886*z**3 in the form a*z**3 + i*z**2 + b*z + y and give a. -1 Express 3 - 3 - 762*v + 746*v as b*v + t and give b. -16 Rearrange -65 + 34 + 68*w**2 + 31 to the form s*w + x*w**2 + d and give x. 68 Rearrange 16*o**2 + 29*o**2 - 7*o**2 to m*o**2 + n + w*o and give w. 0 Express (4*u + 3*u - 6*u)*(-2 + 0 + 0) - 3*u - 5*u + 6*u - 3*u - u + 2*u as q + t*u and give t. -6 Express -12*y - 17*y + 7*y in the form v + u*y and give u. -22 Rearrange -3*b**2 + 20 + 2*b**2 - 37 to the form n*b**2 + u + i*b and give n. -1 Express 2*v + 10*v + 0*v in the form m*v + w and give m. 12 Rearrange -3 + 3 + 1429*b**2 + b - 1431*b**2 to n*b + l + h*b**2 and give n. 1 Express (0*y**4 + 0*y**4 - 2*y**4)*(-3 + 0 + 2) + (y**2 - 2*y**3 - y**2)*(427 + 38*y - 427) in the form n*y**4 + f*y + c + j*y**2 + g*y**3 and give n. -74 Express 16*m + 23*m**3 - 5*m**3 + 17*m**3 + 2*m**2 - 14*m as b*m**2 + t + s*m + c*m**3 and give c. 35 Rearrange 75*n + 4*n**2 + 74*n - 149*n to b + x*n**2 + r*n and give x. 4 Express (3*d - 1 + 1)*(11 - 4 - 1)*(1 - 3 + 0) in the form l + j*d and give j. -36 Rearrange 28*y**2 + 21*y**2 + 7*y**2 - 11*y**2 to a + f*y + q*y**2 and give q. 45 Rearrange (-u + 4*u - 4*u)*(-14 - 4*u + 44 + 6*u) to v*u + w*u**2 + p and give v. -30 Rearrange 69 + 2*r**3 - r**2 - 67 - 2*r + 3*r**2 to the form x + f*r**3 + a*r + c*r**2 and give x. 2 Rearrange 28 + 2*j + 13*j - 26 to a + c*j and give c. 15 Rearrange (-135 - 52 - 2 - 12)*(-4*x + 0*x + 2*x) to the form s*x + b and give s. 402 Express (-3 + 4 - 2 + (1 - 5 + 3)*(5 - 7 - 7))*(-1 + 1 - 1)*(-2*r + 2*r - r) in the form a*r + c and give a. 8 Express -6*r + 2*r - 3*r - 6*r as q*r + p and give q. -13 Rearrange 2*f**2 - 6*f**3 + 2 + f + 7*f**3 - 24*f**4 + 22*f**4 to the form s*f + r*f**4 + j*f**2 + w*f**3 + n and give s. 1 Rearrange -2*r - 5*r**2 - 4*r**2 + 2*r**2 + 4*r + 2*r**4 to i*r**2 + k*r + q + z*r**3 + v*r**4 and give q. 0 Express (5*k + 2*k - 2*k)*(-2*k**2 - 2*k**2 + 2*k**2 + (2*k - k - 2*k)*(k - 1 + 1)) in the form h*k + d + w*k**2 + f*k**3 and give f. -15 Rearrange 0 - 3 - 3*z**3 + 4*z**3 + 2*z + 3*z**4 - 4*z**4 to o*z**2 + f*z**3 + y + i*z**4 + b*z and give y. -3 Express 13*q - 4 + 13 - 9 in the form s*q + a and give s. 13 Express -3 + 35*y - 3 + 9 + 1 - 1 - 2*y + (-2 + 3 - 2)*(4*y - y - 2*y) in the form h + k*y and give k. 32 Express 3*m**2 + 350 - 365 - 2*m**2 - 2*m in the form w + i*m + s*m**2 and give s. 1 Rearrange -a - 3*a + 3*a + (-3 + 3 + a)*(2 - 4 + 0) + 8*a - 12*a - 2 + 15*a to the form u + i*a and give u. -2 Express -17*a**2 + a - 4*a + 5*a as j*a**2 + x*a + r and give x. 2 Express ((4 + 4 - 5)*(2 + 0 + 0) + 1 - 3 + 1)*(2 - 2 + h)*(-h - 2*h + h) in the form u + r*h**2 + y*h and give r. -10 Rearrange -4*c - c + 4*c + (5*c - c - c)*(2 - 1 - 4) to the form w*c + x and give w. -10 Express (2*l - 5*l + 0*l)*(l**2 - 3*l**2 + 0*l**2) + (-4*l + 2*l**2 + 4*l)*(4 - 3 + 1 - 4*l) in the form z*l + i + o*l**2 + d*l**3 and give d. -2 Express -3*a - a - 4*a + 5*a as m*a + p and give m. -3 Rearrange (3*q + q - 2*q)*(4 - 13 + 2 + 17*q) to z*q**2 + y + t*q and give t. -14 Rearrange (11*t + 4*t - t)*(t + t + t)*(t + 2 - 2) to w + i*t**3 + m*t + x*t**2 and give i. 42 Express (-4*h**4 + 5*h**4 + 5*h**4)*(0 + 1 + 1) - 2*h**4 + 0*h**4 + 4*h**4 - 6*h**4 + h**2 - h**2 in the form i*h**4 + g*h**3 + x*h + v + w*h**2 and give i. 8 Express 103*z**4 - 55*z**4 + 88*z**4 + (-3*z**4 + z**4 + 5*z**4)*(-3 + 3 + 1) in the form f*z**4 + c + n*z**2 + v*z + d*z**3 and give n. 0 Rearrange (2*r - 2*r + 2*r)*(-80*r - 3*r + 15*r) to the form m*r + x + w*r**2 and give w. -136 Rearrange 155*i**2 - i**3 - i**4 + 5 + 6*i**3 - 155*i**2 to d*i**2 + y*i**4 + v*i**3 + b + j*i and give d. 0 Rearrange (6*g - 4*g - 4*g)*(g + 0*g + 0*g) - 2*g**2 - 5*g**2 + 4*g**2 + 6*g**2 + 11*g**2 + 32*g**2 + 14*g**2 to j*g**2 + p + z*g and give p. 0 Express 37*u**2 - 1 + 300*u - 300*u as i*u + x + y*u**2 and give x. -1 Express 2 + 3*z - 3*z**4 - 23*z**2 - 22*z**2 + 42*z**2 - z**3 as g*z**2 + u + o*z**4 + x*z + b*z**3 and give b. -1 Rearrange (9*o**2 + 12*o - 4*o - 6*o)*(-2*o + 0*o - 4*o)*(1 + 3 - 2) to the form c*o + p*o**2 + q*o**3 + m and give q. -108 Rearrange 5*u + 10 - 13*u - 10 to r*u + y and give r. -8 Rearrange 4*m**2 + 8*m**2 + 4*m**3 - 15*m**2 + m**2 + 9*m to the form n*m**2 + u*m + x*m**3 + o and give n. -2 Rearrange 4*d**3 - 3*d**3 + 23*d**3 + 0*d**2 + d**3 + 0*d**2 + (-d**2 + d**2 - d**2)*(-3 + 2*d + 3) to t
{ "pile_set_name": "DM Mathematics" }
or a. 4 Let t be (-14)/(-3)*12/8. Suppose -2*x - 12 = -4*x. Let d be (t/(-14))/((-1)/x). Solve -3*r = -f + 10, -d*f - 14 = -2*r + 4*r for r. -4 Let r(a) = -4*a**3 - 4*a**2 - 2*a + 1. Let c be r(-1). Solve 9 - 27 = -5*t - 3*q, -t = -c*q for t. 3 Let r(n) = -n**3 + 5*n**2 + 10*n - 6. Let l be r(4). Suppose 0 = 6*x - l + 2. Solve -5*v = -5*a, -2*a - 2*v = -x + 24 for a. -4 Suppose 138 = 13*l + 99. Solve 4*p + 5*m + 12 = l*m, p + 5*m = -3 for p. -3 Let i = -5 + 48. Suppose 0 = y - i + 40. Solve 4*a + 4 + 36 = -5*h, -y = 2*h - a for h. -4 Suppose 13 = 3*x - 2*x. Let y(q) = q**2 + 19*q + 14. Let h be y(-18). Let z be 3/(0 + (-6)/h). Solve -l + 3*m = x, -4 + 2 = -l - z*m for l. -4 Suppose 8 + 16 = 8*y. Solve r = -y*p + 6, 5*r = -0*p - p + 2 for p. 2 Suppose 4*k + 8 = -2*i, 30*i - 33*i + 3*k = -24. Solve -i*z = 0, -10 = -3*v + 5*v - 5*z for v. -5 Let b(w) = w**2 - 5*w + 1. Let v be b(5). Let i be (30 - 13) + (-4)/2. Let p = 18 - i. Solve 0 = f + p*z - 11, -v = 4*f + 4*z - z for f. -4 Let b = 6 - 6. Suppose c - 3 = -b*c. Let z(q) = q**2 - 14*q + 4. Let s be z(14). Solve 3*f = u - s + 9, 0 = -c*f + 9 for u. 4 Suppose 4 = 5*p - 4*q, q - 11 + 7 = 0. Suppose 3*w - 3*o + 6 = 0, -4*w - 4*o = -o - 20. Solve 2*j + 4 = -w*n, p*n = -5*j - 0*n - 7 for j. 1 Let g = -219 + 223. Suppose 10 = 4*o + 5*k, 3*o + 0*k - 19 = 2*k. Suppose 3*n = -b + 1 + 2, 0 = 3*n. Solve 2*m - g*t - 3 = -1, -b*m - 2*t = o for m. -1 Let q be 21*((-42)/6 + 8). Solve 15 = -g - 4*t, -2*g = 3*g + 2*t + q for g. -3 Let i(p) = 1070*p - 6404. Let n be i(6). Suppose 2*k + 3*k + 10 = 0. Let t be 4/(k/(2*-1)). Solve m - q + 2*q = 0, -t*q + n = -4*m for m. -2 Suppose -5*i - 3 - 2 = 0, 0 = 6*b + 5*i - 133. Solve -5*x + 18*m - 14*m + 32 = 0, 2*x = 5*m + b for x. 4 Let u be 4/(-5)*(-210)/12. Suppose 4*b - b = -3. Let t be 2/(1 + b/2). Solve t*w - 22 = s - w, 3*s = -w + u for s. 3 Let c(f) = f**2 - 42*f + 229. Let a be c(6). Solve -4*s + 14 = 5*h - 7*h, -4*s + a = -h for h. -1 Suppose -2*z - 4*z = 0. Solve 10 = -2*r + 3*s - 4, 4*r + 4*s - 12 = z for r. -1 Let h(v) = -14*v - 25. Let f be h(-2). Solve -14 = -3*c + z, -f*c + 2*c + 3*z + 18 = 0 for c. 3 Suppose 0 = -5*q + 7 + 8. Suppose 3*o - 23 = -4*v, -3*v - o + q*o = -13. Suppose -b + v - 1 = 0. Solve 0 = -n - 4*u - 14, b*u = -4*n - 0*u - 20 for n. -2 Let h be ((-105)/10 - -10)*-2. Solve -x - 5*t - h = 0, -2*x + 4*t + 3 = -5*x for x. -1 Let s(g) = -g**3 + 45*g**2 - 232*g - 55. Let q be s(39). Solve -2*l + 0*k - 3*k + q = 0, k + 11 = 4*l for l. 4 Let l = -522 - -526. Suppose 3*d + 2*r - 2 = -8, 15 = -2*d - 5*r. Solve l*w + 3*y - 22 = y, d = 2*w - 3*y + 1 for w. 4 Let u be 4/(-3 - 41/(-13)). Solve -5*r = -r + 3*h - u, -2*r - 4*h + 18 = 0 for r. 5 Suppose -2 = x - 5*s, -6*s - 4 = -3*x - s. Suppose -5*j = x*j - 64. Solve 3*t = -b + 1, -3*t + j*t = 3*b - 3 for b. 1 Let i = -225 + 225. Solve -4 = 3*w + 5, -4*p + 5*w + 11 = i for p. -1 Let l = -24 - -10. Let x = 16 + l. Suppose -12 = -2*m - x*m. Solve -2*s = o + 2*s + 8, 23 = -5*o - m*s for o. -4 Suppose 51*n - 44*n - 21 = 0. Let f be ((-30)/25)/(8/(-20)). Let p(x) = -x**2 + 9*x - 5. Let u be p(6). Solve f*d + u = s, -s + n*s + 3*d = -1 for s. 4 Let k(r) = -7*r - 15. Let n(g) = -15*g - 4 - 21 + 7 - 13. Let p(m) = 9*k(m) - 4*n(m). Let j be p(-5). Solve -z + j = 5*a, -3 = -3*a - 0 for z. -1 Let q = 414 + -409. Solve q*h + 10 = -u, -5*h + 0*h - 3*u = 10 for h. -2 Let f = -18 + 33. Let q(u) = -9*u + 15. Let r be q(6). Let k = r + 44. Solve -3*d = p - 3 + 11, k*d + f = -2*p for p. -5 Let n = 866 - 860. Solve 3*y = -5*v + 25, y + 4*v + 17 = n*y for y. 5 Let q(d) = 26*d - 2. Let a be q(1). Suppose 6 = 6*r - a. Solve 28 = w - 6*w + 2*u, -r*w = -u + 24 for w. -4 Let k be 1/2 - 6/(-4). Suppose -q - 2*r + 12 = 0, -5*q = r + 2*r - 46. Solve 4*u - k = -2*f, -5*f + 4*u - q = u for f. -1 Suppose s = -3*s + 32. Suppose 68*p + 54 = 258. Solve -t + s = -2*l + 3*t, -20 = 5*l + p*t for l. -4 Let t be 16/2 + (0 - 2). Let x = 12 + -16. Let d(b) = 2*b**2 + 6*b. Let n be d(x). Solve 2*q + 2*q - n = -2*k, 3*q - t = k for k. 0 Let h(n) = -4*n - 15. Let d be h(-5). Suppose -t + 2*c = 0, 4*t - 4*c - d = -c. Solve -5*m = -t*m - 2*x - 7, -5*m + 15 = -4*x for m. -1 Let r = 175 - 104. Suppose 3*v + 23 = r. Let z be ((-12)/v)/(1/(-4)). Solve z*y = 0, 5*y = -4*p - 3 + 11 for p. 2 Let j(k) = -k**3 - k**2 + 24*k - 4. Let m be j(4). Solve 4*c + 5*w - m = 0, 5*c + w - 15 = -2*w for c. 3 Let p = 105 + -102. Solve 3*n = 6*u - 4*u - 1, -1 = 4*n - p*u for n. -1 Let m be (3 - (-6 - 2)) + -3. Let q be 672/m*2/6. Solve 2*x - 5*i - 15 = 0, 3*x + q = -4*i - 7 for x. -5 Let i = 1330 - 1327. Solve -s - i*n + 3 = 0, -3*s + 8*s - 15 = -4*n for s. 3 Let g(t) = -4*t**2 - 36*t + 4. Let b be g(-9). Suppose 39 = b*q + 19. Solve 16 = 5*p + 3*f, -p + 0*p + 20 = -q*f for p. 5 Let o be 3/6*(-1 + 1). Suppose -8*m + m = o. Suppose -4*r + 5*v + 7 = m, 0*r - 4*v + 1 = -r. Solve -5*b + 0 = 4*y - 3, 0 = 4*b - r*y - 21 for b. 3 Let x(q) = 2*q**2 + q. Let r be x(1). Let p(z) = 20*z - 5*z - z - 8*z - 54. Let b be p(9). Solve -5*c + 4*l - 2 = b, 2*l + 8 = -5*c + r*l for c. -2 Let y = 1 + 1. Suppose -y*u + 5*o - 7 = 0, 2*u + 2*o = -7 + 21. Solve -2*z - 3*a + u = 0, 2*a + 1 + 3 = -3*z for z. -4 Suppose 1 = 18*x - 71. Solve 0 = -3*h - 5*o + 22, -5*o + 6 + 20 = x*h for h. 4 Let s be 203/21 - 4/6. Let x = s - -1. Let c = -43 + 45. Solve x = -m - 5*d, -4*d - c = 2*m - 0*d for m. 5 Let g(q) = -53*q**2 - 742*q + 2. Let o be g(-14). Suppose 2*t + t - 12 = 0. Suppose -3*f - 3 = -t*f. Solve -o*i - 3 = 2*x + 3, f*i + 3 = 0 for x. -2 Let b = 20 - 15. Suppose -4 = b*c + 16, -5*g = c + 4. Solve -2*m = 5*w + 11, g*m + 4*w = -2*m - 10 for m. -3 Let m(o) = o**3 + 9*o**2 - 14*o - 4. Let a be m(-10). Suppose 3*s + a = -0*s. Let k = -6 - s. Solve -3 = -5*p + 2*g - 10, 0 = -p + 5*g - k for p. -1 Suppose -3*a = 2*y - 11 - 18, -4*a = -20. Let c be 4/(-10) + 486/90. Solve 6*u - u + y = -4*h, c*h - 1 = -3*u for h. 2 Let v be 5/((-20)/8) + 6. Suppose -v = -k + t + 5, -5*k + t = -45. Suppose 5*s - h - k = 0, 2*h + 6 = 2*s + 4. Solve 5*z = -c + 2, 5*c = 2*c + s*z + 6 for c. 2 Suppose 2*w - 3*b - 16 = -4, 4*w - 8 = -2*b. Let u be w - (-8)/(-2) - -1. Suppose -2*i + 3*i = u. Solve 0 = -2*q + 3*x + 2*x + 25, -4*x - 12 = i for q. 5 Let j be (-738)/(-33) + 20/(-55). Solve -a + j = 5*r, 4 = 2*r - 5*a + 6 for r. 4 Let s = -5 - -10. Let a be (3 - 2)*(-2 - -10). Solve 0 = -g - s*n - 24, -2*g - n + a = -5*g for g. -4 Let x = 362 + -337. Let z be 2/6*1*39. Let n = x - z. Solve 0 = -5*t + l - n, 5*t + l = -4*l for t. -2 Let s = 1175 + -1170. Solve -4*d = 2*p - 12, -4*p + 2 = s*d - 8*p for d. 2 Let u = 154 + -149. Solve 4*a = u*n + 7 + 5, -3*n - 4*a = -12 for n. 0 Let x(s) = 10*s - 2. Let f be ((-12)/16)/((-1)/4). Let u be x(f). Let c be (-7)/(-2)*24/u. Solve 0*j + 4 = 3*p + j, c*j - 12 = p for p. 0 Let n(r) = 11*r**2 - 4*r - 30. Let o(z) = -7*z**2 + 3*z + 20. Let j(a) = -5*n(a) - 8*o(a). Let t be j(6). Solve -5*w - t*d - 10 = 0, w + 0*w + 20 = -4*d for w. 0 Let a be 9 - (-5)/1*-1. Suppose -5*d - 2*q + 3 = -a, 0 = 4*d + q - 8. Solve -4*m = -2*z + 14, 0 = -d*z - 4*m - 12 + 3 for z. 1 Let l(b) = 2*b + 17. Let r be l(0). Suppose -r = -3*c - 5*u, -c + 5*u + 6 = 7. Let k = 7 - 3. Solve -d = -4*m - m, -k*d = -c*m + 16 for m. -1 Let p be 6 + (-4)/(-18) + 55/(-45). Let f be 16/4 + (1 - 1). Suppose 4*l - f = -j + 8, -6 = -3*l. Solve p*h = -s + 21, -j*s + s = -2*h + 5 for h. 4 Let v(d) = -d**3 + 2*d. Suppose 4*o = 4*g - 88, -4*g + 22 = -3*g - 2*o. Suppose 2*m + g = 18. Let s be v(m). Solve -2*y - 26 = -s*w, 5*w + 6*y + 5 = y for w. 4 Let l = 11 - 9. Suppose -4*t + 13 + 41 = l*r, -147 = -4*r + 5*t. Let a = -18 + r. Solve 4*b + 5*k + a = 0, b - k - 2 - 1 = 0 for b. 0 Suppose -4*v + 10 = r, 2*v - 2*r - 2 = 8. Suppose 2*o - 20 = -2*j, -3*o + 2*j = -0 - 5. Suppose k + 3 - o = 0. Solve -i - v*u + k = -14, -i = -5*u + 16 for i. 4 Let g = -19 + 20. Let a be 7 + g + -2 - -2. Solve -2*u + 4*k + 14 = -a, k = -3*u - 2 for u. 1 Let v(d) = d**3 - 5*d**2 + 4*d + 2. Let x be v(5). Suppose 21*m = 46*m - 20*m. Let q be 4/10 - 16/(-10). Solve m*y + 5*y + x = f, -f + q = -y for f. -3 Let g be ((-3)/2)/((-9)/18). Suppose -1 + 7 = g*j. Solve b + o + j = -0*b, 0 = b + 2*o + 3 for b. -1 Let n = 390 - 393. Let c be (-2 + 3)/(2/10). Let x = c + n. Solve
{ "pile_set_name": "DM Mathematics" }
*2 + 383. Find l such that u(l) = 0. 0, 1, 6 Let w be 2 + (348/(-48) - -6). Factor 3/4*q + w*q**2 + 0. 3*q*(q + 1)/4 Let w(z) be the second derivative of -z**6/720 - z**5/180 + z**4/48 - 4*z**2 - 10*z. Let o(a) be the first derivative of w(a). Factor o(p). -p*(p - 1)*(p + 3)/6 Let b be 1 - (0 + 2 - 2). Suppose -v + b = -1. Factor 8*q**3 - 3*q**4 - 2*q**3 - 28*q**2 + 25*q**v. -3*q**2*(q - 1)**2 Let g be 6 + (-530)/25*(-5)/(-20). Let v(w) be the second derivative of 1/6*w**4 + 4/5*w**6 + 0*w**2 + 0 + 7*w - g*w**5 + 0*w**3. Factor v(h). 2*h**2*(3*h - 1)*(4*h - 1) Solve 69*d**3 - 8 - 139*d**5 - 33*d**2 + 142*d**5 + 8 - 39*d**4 = 0. 0, 1, 11 Let b(l) = -l**2 + 8*l - 7. Let j be b(6). Let q = j + -2. Factor -7*k**5 + 3*k**3 + 2*k**2 + q*k**3 - 9*k**3 - 8*k**3 + 16*k**4. -k**2*(k - 1)**2*(7*k - 2) Let n = -105/151 + 13281/1510. Factor -8/5*u**2 + 36/5*u - n. -(4*u - 9)**2/10 Let t = -88 + 91. Suppose 0 = -3*i + t, 2*i + 20 = 3*f + 4*i. Find m, given that -3/2 + f*m + 15/2*m**2 = 0. -1, 1/5 Let v = 1/587 + -1309/79245. Let s = v - -83/135. Factor 0 - 1/5*f**2 + s*f. -f*(f - 3)/5 Let h(l) be the first derivative of 3*l**4/10 - 2*l**3/15 - l**2/3 - 2*l/15 + 45. Factor h(i). 2*(i - 1)*(3*i + 1)**2/15 Suppose 33 = z - 4*t, -t - 45 = -4*z + 2*z. Let i = -17 + z. Let -7*n**4 + 4 - n**4 + 8*n**4 + i*n**4 - 8*n**2 = 0. What is n? -1, 1 Let j(c) = -c**2 - c + 1. Let t(u) = 5*u**3 - 20*u**2 + 20*u + 40. Let f(x) = -5*j(x) - t(x). Factor f(z). -5*(z - 3)**2*(z + 1) Let q(f) be the first derivative of -3 + 0*f**3 - 3/32*f**4 + 0*f + 3/16*f**2. Factor q(o). -3*o*(o - 1)*(o + 1)/8 Let u be 4/(-12) - (-630)/270. Determine j so that -1/7*j**u + 4/7*j + 5/7 = 0. -1, 5 Let d(f) be the second derivative of -f**4/18 - 13*f**3/9 - 40*f**2/3 - 233*f. Factor d(t). -2*(t + 5)*(t + 8)/3 Let z(a) be the first derivative of -a**6/480 - a**5/60 - 5*a**4/96 - a**3/12 - 11*a**2 - 3. Let r(k) be the second derivative of z(k). Solve r(w) = 0 for w. -2, -1 Let k(s) be the third derivative of 9*s**8/28 - 54*s**7/35 + 3*s**6/2 + 5*s**5/3 - 2*s**4 - 8*s**3/3 - 10*s**2 + 11*s. Find z, given that k(z) = 0. -1/3, 2/3, 1, 2 Let u = 18/191 - -1283/573. Suppose u*m**2 + 0 - 2/3*m = 0. Calculate m. 0, 2/7 Let b(k) be the second derivative of -k**5/90 + 7*k**4/36 - 4*k**2 - 3*k. Let o(p) be the first derivative of b(p). Determine x, given that o(x) = 0. 0, 7 Let v = -1133/115 - -245/23. Factor v - 2/5*y - 2/5*y**2. -2*(y - 1)*(y + 2)/5 Let a(h) be the second derivative of -h**5/40 - 11*h**4/24 + 25*h**3/12 - 13*h**2/4 + 331*h. Determine w, given that a(w) = 0. -13, 1 Let r be (-6 + -6)*(-7)/(158 - 4). Factor 0 + 4/11*x + r*x**2. 2*x*(3*x + 2)/11 Suppose -29 = -7*y - 1. Let l be (18/(-21))/(y/(-14)). Solve -15*p - 15 - 4*p**2 + 3*p + 12*p**l + 19 = 0 for p. -1, 1/3, 1 Let s = -11679 - -11679. Factor s + 2/13*i + 2/13*i**3 - 4/13*i**2. 2*i*(i - 1)**2/13 Let f(r) be the third derivative of -r**5/60 + 5*r**4/24 + 2*r**2 + 21. Let f(c) = 0. What is c? 0, 5 Suppose 143 - 44*z - 47 + 7*z**2 - 47 - 37 = 0. What is z? 2/7, 6 Let n(o) = -4*o**2 + 400*o - 10003. Let g(a) = 4*a**2 - 400*a + 10004. Let f(m) = -3*g(m) - 4*n(m). Determine v so that f(v) = 0. 50 Find w such that -80*w - 111 + 16*w**3 + 104*w**2 + 79 - 44*w**3 = 0. -2/7, 2 Let u(m) be the third derivative of -m**5/120 + m**3/12 + 390*m**2. Factor u(x). -(x - 1)*(x + 1)/2 Solve 0*c + 7*c + 2*c**2 + 0*c**2 + 88*c - 5*c = 0. -45, 0 Let i be (-6 - -10)/(2 + 0). Suppose y - 14 = -5*p, p - i*y = 2*y - 14. Factor 1 - 8*w + 6*w**2 - 3 - p*w + 6. 2*(w - 1)*(3*w - 2) Let m(z) be the first derivative of z**3/2 - 21*z**2/4 - 66*z - 203. Factor m(j). 3*(j - 11)*(j + 4)/2 Let g(o) = 2*o**2 - 21*o - 3. Let z be g(9). Let r be (-2)/6 + (-25)/z. Factor -1/2*v**2 + v - r. -(v - 1)**2/2 Let o = -16227 - -16231. Suppose -6/5*c**o + 2/5*c**5 + 0 + 6/5*c**2 + 0*c - 2/5*c**3 = 0. What is c? -1, 0, 1, 3 Let h = 71 + -62. Let t(r) = -5*r**3 + 10*r**2 + 3*r - 10. Let g(a) = -21*a**3 + 39*a**2 + 12*a - 39. Let c(v) = h*t(v) - 2*g(v). Suppose c(j) = 0. What is j? -1, 1, 4 Suppose -20 = -2*b + 4*j + 16, -2*j - 16 = 0. Factor -52/5*v - 46/5*v**b - 8/5 - 11/5*v**3. -(v + 2)**2*(11*v + 2)/5 Suppose 66 = -5*i + 3*v + v, 0 = -4*v + 16. Let n = i - -12. Factor 4/5*m + 18/5*m**3 + 0 + 14/5*m**n + 2/5*m**5 + 2*m**4. 2*m*(m + 1)**3*(m + 2)/5 Let v(k) be the third derivative of 0 + 4/9*k**3 - 1/360*k**6 + 0*k - 1/6*k**4 + 1/30*k**5 - 2*k**2. Factor v(w). -(w - 2)**3/3 Suppose 444 = 18*y + 390. Let j(a) be the second derivative of -5/3*a**y + 15/2*a**2 + 0 - 14*a - 5/12*a**4. Determine i so that j(i) = 0. -3, 1 Let u(c) be the third derivative of c**7/1680 - c**6/360 + c**5/240 + 8*c**3/3 - 14*c**2. Let d(o) be the first derivative of u(o). What is k in d(k) = 0? 0, 1 Suppose -7*y = -4*y - r + 4, r - 4 = 2*y. Let x(q) be the second derivative of y - 1/28*q**4 + 8*q + 1/14*q**3 + 0*q**2. Factor x(k). -3*k*(k - 1)/7 Suppose -4*w + 2*i = 10 - 0, 7 = -2*w - i. Let s be (-187)/255 - (w - -2). Factor s*r**3 + 4/15*r**2 - 2/15 - 2/15*r**4 - 2/15*r**5 - 2/15*r. -2*(r - 1)**2*(r + 1)**3/15 Let t(z) be the third derivative of -z**6/40 + 2*z**5/5 - 7*z**4/8 + 291*z**2. Factor t(s). -3*s*(s - 7)*(s - 1) Let b(r) be the second derivative of r**4/16 + 3*r**3/4 + 15*r**2/8 - 376*r. Factor b(f). 3*(f + 1)*(f + 5)/4 Suppose 5*s - 15 = -q, 6*s + 21 = 9*s + 3*q. Factor 2/7*g**s + 0 + 2/7*g**4 + 0*g + 4/7*g**3. 2*g**2*(g + 1)**2/7 Let c(q) be the third derivative of -5*q**8/336 + q**7/14 - q**6/24 - q**5/4 + 5*q**4/12 + 88*q**2. Let c(d) = 0. What is d? -1, 0, 1, 2 Let n(c) be the second derivative of -c**7/252 + c**6/180 + 3*c**5/40 + 11*c**4/72 + c**3/9 - 2*c - 14. Determine g, given that n(g) = 0. -1, 0, 4 Let b(w) = -w + 7. Let l = -15 - -20. Let g be b(l). Factor -9/2*i + 27/4 + 3/4*i**g. 3*(i - 3)**2/4 Suppose -6/5*j**3 - 24/5*j**2 + 12/5 + 3/5*j**5 + 3/5*j + 12/5*j**4 = 0. Calculate j. -4, -1, 1 Let c(x) be the third derivative of -7*x**5/60 - 23*x**4/24 + 5*x**3 + 499*x**2. Let c(r) = 0. What is r? -30/7, 1 Suppose -227*a**2 - 180*a**2 + 374*a**2 - 180 - 168*a + 3*a**3 = 0. What is a? -2, 15 Suppose -49 - 55 = -5*n - 2*a, -3*n = -3*a - 54. Let r be (n/(-8) + -1 - -4)*4. Solve -8/3*i + 2/3*i**2 + r = 0 for i. 1, 3 Let n = 199117/317700 + -1/12708. Let k = n + 1/25. Suppose -1/3*t**2 - 1/3 + k*t = 0. What is t? 1 Let w(r) = -r**3 - 13*r**2 - r - 12. Let p be w(-13). Let n(h) = -2*h**2 + 16*h - 31. Let c(k) = -1. Let q(z) = p*c(z) + n(z). Determine x, given that q(x) = 0. 4 Let -116/9*r**2 + 16*r**3 + 44/9*r - 86/9*r**4 - 2/3 + 20/9*r**5 = 0. What is r? 3/10, 1 Let v(m) be the first derivative of 4*m**5/5 + 7*m**4 + 24*m**3 + 40*m**2 + 32*m - 83. Factor v(y). 4*(y + 1)*(y + 2)**3 Suppose 15 - 5 = 5*x. Let h(f) be the second derivative of -1/9*f**4 + 7/30*f**5 + 0*f**x + 5*f + 0 + 0*f**3. Factor h(k). 2*k**2*(7*k - 2)/3 Let t(v) be the third derivative of -1/540*v**6 + 0*v + 0 + 0*v**3 - 1/270*v**5 + 0*v**4 + v**2. Factor t(r). -2*r**2*(r + 1)/9 Let a(d) = -d**2 + 13*d - 15. Let u be a(8). Let l = 28 - u. Factor -2/11*w**l + 4/11*w**2 + 2/11*w - 4/11. -2*(w - 2)*(w - 1)*(w + 1)/11 Let o(w) be the first derivative of -w**8/5040 - w**7/1260 - 5*w**3/3 + 7. Let l(d) be the third derivative of o(d). Find m, given that l(m) = 0. -2, 0 Suppose -4*w = 2*v - 26, 4*w = 5*v - 159 + 150. Determine i, given that -7/3*i**2 + 5/3*i**w + 2/3 + i - i**3 = 0. -1, -2/5, 1 Suppose -30*m + 31*m - 5 = 0. Suppose 0 = m*r + 4*z + 6, -4*r - 5*z - 11 = 1. What is l in 20/11*l**3 - 6/11*l**5 - 4/11 + 2/11*l + 24/11*l**r - 4/11*l**4 = 0? -1, 1/3, 2 Let f(i) be the first derivative of -i**4/4 - 4*i**3/3 - 2*i**2 + 2*i + 2. Let u be f(-2). Solve 2/3*p**u + 4*p + 6 = 0. -3 Suppose 4*y = -10 - 26. Let a = 9 + y. Suppose a*t**2 - 4*t**2 + 0*t**2 + 2*t**2 + 6*t - 4 = 0. What is t? 1, 2 Let p(y) be the third derivative of -y**9/3024 + y**7/504 + 11*y**4/12 - 28*y**2. Let f(d) be the second derivative of p(d). Solve f(k) = 0. -1, 0, 1 Let k(h) = -3*h**4 - 3*h**3 - 12*h**2 - 5*h. Let m(s) = -2*s**4 - 2*s**3 - 6*s**2 - 3*s. Let l(a) = -3*k(a) + 5*m(a). Suppose l(r) = 0. Calculate r. -3, 0, 2 Let o(v) be the second derivative of v**10/30240 + v**9/7560 + v**8/6720 - 11*v**4/12 + v. Let f(j) be the third derivative of o(j). What is
{ "pile_set_name": "DM Mathematics" }
2 + 362659? 362467 In base 9, what is 44470814 - -4? 44470818 In base 2, what is -101 - 1100100100000111110010010? -1100100100000111110010111 In base 6, what is -31414 + -21005? -52423 In base 6, what is -403 + 3002425? 3002022 In base 11, what is -3 + -a0a264? -a0a267 In base 14, what is 3 - 78625d? -78625a In base 2, what is -11011011 + 101000010100100001? 101000010001000110 In base 12, what is -13972 + 1279? -126b5 In base 13, what is -368 + 9185c? 914c4 In base 13, what is 23 - 25735c? -257339 In base 14, what is -4 + 1611396? 1611392 In base 12, what is -a8a5150 - 0? -a8a5150 In base 9, what is 5 + 24065047? 24065053 In base 13, what is 107 - 1535a4? -15349a In base 16, what is 34add - 42? 34a9b In base 10, what is -7007 + -529? -7536 In base 8, what is 61 + -51135? -51054 In base 9, what is -3206 + -211321? -214527 In base 8, what is -2214 - -61221? 57005 In base 5, what is -14220 + -113203000? -113222220 In base 7, what is -144431040 - -22? -144431015 In base 4, what is 23 + -13003201100? -13003201011 In base 12, what is -3bb + -36551? -36950 In base 7, what is -10652 + -401203? -412155 In base 8, what is -14605154 + -245? -14605421 In base 9, what is -23718333 + 12? -23718321 In base 14, what is -1 - -704862? 704861 In base 8, what is -64720 + 66656? 1736 In base 8, what is 53326 - 106125? -32577 In base 15, what is -128c76 + 1c? -128c59 In base 15, what is -43d160 - 2? -43d162 In base 11, what is 7174228 - 5? 7174223 In base 9, what is -28365 - -136? -28228 In base 4, what is 221031320301 + 10? 221031320311 In base 2, what is -100011010 + -101010000? -1001101010 In base 4, what is -13 - 331331223? -331331302 In base 14, what is a6442 - d36? a550a In base 2, what is 100000100100011000 + -11101000? 100000100000110000 In base 4, what is -3 + 223122221032? 223122221023 In base 12, what is -208013 + -26? -208039 In base 7, what is 6 + 64312062? 64312101 In base 9, what is 1440 + -1187562? -1186122 In base 14, what is -ab4a20d + 3? -ab4a20a In base 2, what is 1 - 101000010101011100110011? -101000010101011100110010 In base 8, what is 11 - 53020746? -53020735 In base 8, what is 11 + 435672015? 435672026 In base 6, what is 110542053525 + -1? 110542053524 In base 2, what is -10100100001010111 + -11101? -10100100001110100 In base 11, what is -126 - 173173? -173299 In base 15, what is 4b9 - 23e1? -1e27 In base 12, what is -3a6 + -315? -6bb In base 4, what is 1310012313222 - 10? 1310012313212 In base 8, what is 1474 + -266514? -265020 In base 5, what is 1 - 11131013230? -11131013224 In base 2, what is -100 + -1000110111010011000001000? -1000110111010011000001100 In base 16, what is 16b2ecb8 + 1? 16b2ecb9 In base 6, what is -24232 + 311223? 242551 In base 6, what is -5 - -243304055? 243304050 In base 7, what is 56 + -2262452? -2262363 In base 4, what is 10201112 - -232031? 11033203 In base 11, what is -78 - 5a4988? -5a4a55 In base 4, what is -11311320 - 10320? -11322300 In base 4, what is -32 + 1132023020? 1132022322 In base 14, what is 37189 + -1d? 3716a In base 6, what is -13 - -4245324? 4245311 In base 7, what is 466 + -11002235? -11001436 In base 12, what is 2 + -146b2084? -146b2082 In base 16, what is -c + -19e526? -19e532 In base 8, what is 133255 - 25562? 105473 In base 4, what is -101200 + -10131101? -10232301 In base 2, what is 1100100101101011000001 - -10? 1100100101101011000011 In base 9, what is -2 - 5434501? -5434503 In base 15, what is -3 - 164e8d? -164e91 In base 14, what is -4 + d65240? d6523a In base 11, what is 2171387 + 1? 2171388 In base 14, what is -5 + 492021? 49201a In base 15, what is -624b4b - -5? -624b46 In base 12, what is 3 - b07a35? -b07a32 In base 6, what is 354320041 + 2? 354320043 In base 6, what is 43344125 + -241? 43343444 In base 13, what is -36188 - -13a4? -34ab4 In base 9, what is -110722 - 1061? -111783 In base 13, what is -863301 - 38? -863339 In base 6, what is -1 - 2021522514? -2021522515 In base 3, what is 11010100020 + -12102? 11010010211 In base 4, what is -312 - -120010200? 120003222 In base 7, what is 0 - 15011423? -15011423 In base 4, what is 1213202332 + 2? 1213203000 In base 16, what is -e16 - 295d? -3773 In base 9, what is -65432314 + 17? -65432286 In base 12, what is 23096 + -3104? 1bb92 In base 11, what is -9 + -2426988? -2426996 In base 5, what is -3113233443 - -111? -3113233332 In base 12, what is 17451 - 115? 17338 In base 12, what is 40146 - -1? 40147 In base 12, what is -5 - -3485483a? 34854835 In base 8, what is -1414767 + -4? -1414773 In base 14, what is -3d9a958 - -5? -3d9a953 In base 13, what is 45ccc9 + -2? 45ccc7 In base 7, what is -5 + 45455650? 45455642 In base 5, what is -1224230011 + -10? -1224230021 In base 16, what is -1065bfe - 5? -1065c03 In base 9, what is 8 - -152215? 152224 In base 6, what is 123430110 + 11? 123430121 In base 15, what is d6971 + 2? d6973 In base 6, what is 1344331 - 22434? 1321453 In base 3, what is 2011 + -2102220210212? -2102220201201 In base 13, what is -230b1 - 12750? -35831 In base 4, what is -30 + 220102111? 220102021 In base 2, what is 100101110111 + -10110011001110? -10001101010111 In base 11, what is -191797 + -19a? -191986 In base 15, what is 1310980 - -10? 1310990 In base 13, what is -1650 - 2725? -4075 In base 3, what is 210001211102100212 - 11? 210001211102100201 In base 6, what is -33502040202 - 0? -33502040202 In base 11, what is 595087 + 3a2? 595479 In base 13, what is -7cc + -c48a? -cc89 In base 12, what is 1b000 + 3411? 22411 In base 2, what is 1110 - -1111110010001010000100? 1111110010001010010010 In base 15, what is 2792d8c + -1? 2792d8b In base 4, what is -112230212212 + 10? -112230212202 In base 10, what is -3965 - 46858? -50823 In base 13, what is 14 - -79ac? 79c3 In base 11, what is -131483015 + 1? -131483014 In base 7, what is 205335165 + -33? 205335132 In base 16, what is 10ceaf - 11? 10ce9e In base 14, what is -1ac259 + 84? -1ac1b5 In base 10, what is 60 + 4835? 4895 In base 16, what is -89c738 + 1? -89c737 In base 14, what is -254 - -da3c? d7c8 In base 16, what is 7 + -151b36? -151b2f In base 15, what is -b4e2 + 112? -b3d0 In base 14, what is -1d - 7ba04? -7ba23 In base 2, what is -100 + 111110100001100010011111? 111110100001100010011011 In base 3, what is 12 - -12112101012202? 12112101012221 In base 12, what is -4 - 1b0b08? -1b0b10 In base 14, what is -68019 - -52? -67da7 In base 7, what is -16524 - -2453? -14041 In base 2, what is 10 - 11011001101010001100? -11011001101010001010 In base 6, what is 35 + -1433523? -1433444 In base 9, what is -1024 + -17221? -18245 In base 6, what is -215350553 + -105? -215351102 In base 4, what is -3110132130 + -120? -3110132310 In base 12, what is -5562 - -b4? -546a In base 7, what is 12423206 - -541? 12424050 In base 14, what is 0 + cb1527? cb1527 In base 9, what is 6188873 + 3? 6188876 In base 3, what is -1211210121 + -110021? -1212020212 In base 6, what is 201534 + 51? 202025 In base 9, what is -67078 + 366? -66612 In base 6, what is 125 + 1013444? 1014013 In base 14, what is 0 + -10b8d512? -10b8d512 In base 9, what is -815 - 366361? -367276 In base 16, what is -8 + 39017? 3900f In base 13, what is 422b71 + 6b? 422c0c In base 16, what is -2 - 9fa846? -9fa848 In base 2, what is -11 + 1011000011100010001101100? 1011000011100010001101001 In base 9, what is -824 - 55432? -56356 In base 9, what is -2112 + 14281? 12168 In base 2, what is -1110111010011 + 100000001101? -1010111000110 In base 13, what is -aca7 + -179? -b153 In base 12, what is aa8 + 10512b? 106017 In base 2, what is -11010010011011011 + 100101? -11010010010110110 In base 8, what is 0 + 474115075? 474115075 In base 9, what is -137456053 + 0? -137456053 In base 9, what is -6 + 44780? 44773 In base 14, what is -3 + -10ad9b7? -10ad9ba In base 8, what is -1466 - 1302402? -1304070 In base 9, what is -1180 + -211626? -212816 In base 2, what is -110110000 + -10110000011010110? -10110001010000110 In base 11, what is -23a6349 + -9? -23a6357 In base 13, what is 14b54 + -bc? 14a65 In base 5, what is -4022 + -1042013? -1101040 In base 11, what is 704499 - -73? 704561 In base 9, what is -563048266 - -1? -563048265 In base 15, what is -ae4a8 - 12? -ae4ba In base 6, what is -11 - -24201232? 24201221 In base 14, what is -70d3d4 + 6? -70d3cc In bas
{ "pile_set_name": "DM Mathematics" }
ve of f**5/30 + 2*f**4/3 + 8125*f**2. Let u(n) = 65*n. What is c(u(o))? 8450*o**2 + 1040*o Let x(y) be the third derivative of -11/24*y**4 - 134*y**2 + 0*y**3 + 0*y + 0. Let q(t) = -6*t. Calculate q(x(g)). 66*g Let i(n) = -236*n. Let t(x) = -44*x. Let v(z) = 3*i(z) - 16*t(z). Let g(y) = -553*y. Determine g(v(p)). 2212*p Let a(x) = -2*x**2 + 107845*x. Let i(d) = 10*d**2. Give a(i(f)). -200*f**4 + 1078450*f**2 Let g(i) = 2229418*i**2. Let x(w) = -5*w**2. What is g(x(u))? 55735450*u**4 Let l(v) = 2106*v. Let z(r) be the third derivative of r**4/24 - 3381*r**2. Calculate z(l(j)). 2106*j Let s(h) = 6. Let k(i) = -i**2 + 1. Let n(c) = 6*k(c) - s(c). Let v(t) = 24*t**2. Calculate n(v(y)). -3456*y**4 Let r(l) = 14*l**2. Let w(x) = -5*x + 2. Let a(s) = 0 + 1 - 35*s + 14. Let m(j) = 2*a(j) - 15*w(j). Calculate r(m(t)). 350*t**2 Let j(m) = -m**2 - 4*m + 14. Let h be j(-6). Let r be (-5 + 1)*(-1)/h. Let y(o) = 29*o**r - 10*o**2 - 8*o**2. Let a(l) = 2*l. Calculate y(a(x)). 44*x**2 Let p(y) = y. Let s(k) = -k**2 + 260*k - 373. Calculate p(s(w)). -w**2 + 260*w - 373 Let p(u) = -3*u**2 - 14*u + 28. Let k(j) = j**2 + 5*j - 10. Let h(n) = -14*k(n) - 5*p(n). Let l(g) = -2101*g**2. Calculate l(h(q)). -2101*q**4 Let v(u) be the third derivative of -u**4/24 + 52*u**2 + 1. Let c(n) = 441*n. Give c(v(l)). -441*l Let o(j) = 1 + 2501*j - 5092*j - 1 + 2541*j. Let g(w) = 28*w. Give g(o(i)). -1400*i Let f(n) = 8709478*n**2. Let p(l) = l**2. What is p(f(v))? 75855007032484*v**4 Let g(s) = -310518115 + s + 310518115. Let a(d) = 4656*d**2. What is g(a(o))? 4656*o**2 Let n(k) = -k**3 + 4*k**2 + 2. Let z be n(4). Let r(a) = -a + z*a + 0*a - 3*a. Let l(o) = -80 - 83 - 12*o + 163. What is l(r(p))? 24*p Let g(f) = -f**2 + 536*f - 2. Let h(v) be the third derivative of -v**4/24 - 9*v**2 + 5*v + 4. What is h(g(p))? p**2 - 536*p + 2 Let f(v) = 38*v + 22. Let p(d) = 141*d + 92. Let g(b) = 25*f(b) - 6*p(b). Let h(q) = 16*q**2. Determine g(h(l)). 1664*l**2 - 2 Suppose 2*h - 1 - 5 = 0. Let a(z) = 3*z**2 - 3*z**2 - 2*z**2 + h*z**2. Let l(j) be the second derivative of -2*j**4 + 8*j. Give l(a(o)). -24*o**4 Let f(l) = -l**2 - 2*l. Let s(k) = 12*k - 6. Let n(t) = -6*f(t) - s(t). Let b(g) = 4*g**2 + 2. Let v(x) = -9*b(x) + 4*n(x). Let i(u) = -2*u. Determine i(v(j)). 24*j**2 - 12 Let s(l) be the first derivative of -l**6/360 - 101*l**3 + 318. Let u(y) be the third derivative of s(y). Let t(f) = 5*f**2 + 2. Determine t(u(g)). 5*g**4 + 2 Let q(v) = -12*v**2. Let h(x) = 7466083*x. What is h(q(n))? -89592996*n**2 Let p(i) = 2*i**2. Let y = -490 - -494. Let j(g) = -10*g - 4 + 8*g + 7 - 2 + y*g. Calculate p(j(m)). 8*m**2 + 8*m + 2 Let i(y) = -5394*y**2. Let o(c) = -916*c + 2. What is o(i(u))? 4940904*u**2 + 2 Let u(g) = -g - 28. Let k(z) = z + 20. Let j(b) = 7*k(b) + 5*u(b). Let r(p) = -584*p**2. Calculate r(j(y)). -2336*y**2 Let n(u) = 349082*u. Let g(b) = -483*b. What is n(g(c))? -168606606*c Let g(h) be the third derivative of -h**5/20 - h**2. Suppose -2*a = 10 - 2. Let t(f) = -42*f. Let z(r) = -5*r. Let m(b) = a*t(b) + 33*z(b). Determine m(g(u)). -9*u**2 Let d(m) = 85*m + 31506. Let r(h) = h. What is d(r(o))? 85*o + 31506 Let u(r) = r. Suppose 7*t + 7 = 21. Let q(c) = -c + 20*c**t + c. Give u(q(d)). 20*d**2 Let i(a) = 51*a + 4. Let x(s) = 110*s**2 + 95*s - 95. Let f(n) = -7*n**2 - 6*n + 6. Let c(y) = -95*f(y) - 6*x(y). Determine i(c(b)). 255*b**2 + 4 Let q(r) = -77 + 163*r**2 + 74 - 50*r**2. Let h(b) = b**2. Calculate q(h(y)). 113*y**4 - 3 Let x(u) be the third derivative of -u**4/6 + 1307*u**2. Let o(m) = -1379*m**2. Calculate x(o(z)). 5516*z**2 Let a(w) = w. Let m(s) = 10*s + 2. Let y(f) be the first derivative of -f**2/2 - f + 106. Let t(l) = m(l) + 4*y(l). Determine t(a(g)). 6*g - 2 Let j(f) = 17*f**2. Let o(m) = -414*m - 5*m**2 + 414*m + 7*m**2 - 8. Give o(j(v)). 578*v**4 - 8 Let r(k) = 4*k. Let q(y) = 133 + 8*y - 93 - 47 - y. Give r(q(f)). 28*f - 28 Let v(z) = -214094*z - 2505. Let a(k) = -171*k - 2. Let b(j) = 2505*a(j) - 2*v(j). Let d(m) = -2 + 2 + m. What is d(b(l))? -167*l Let y(b) = b**3 - 9*b + 2. Let l be y(3). Let d(n) = 82*n**2 - 164*n**l + 81*n**2. Let p(f) = -10*f**2. Calculate d(p(j)). -100*j**4 Let a(r) = 69042*r. Let j(u) = 3*u - 128. Calculate j(a(n)). 207126*n - 128 Suppose -8 = f - 4*p, 5 + 11 = 4*f - 4*p. Let a(o) = 5*o**2 - 8 + f - 9*o**2. Let j(t) = 2*t. What is a(j(u))? -16*u**2 Let c(h) = -428412*h**2. Let f(o) = -185*o**2. Give f(c(t)). -33954315722640*t**4 Let j(t) be the first derivative of 3*t**2/2 - 1039. Let c(f) = 589*f**2. What is j(c(l))? 1767*l**2 Let c be 6 + (-7)/(21/12). Let v(y) = 95*y**2 - 195*y**c + 99*y**2. Let n(o) be the second derivative of 7*o**4/12 + o. Give v(n(j)). -49*j**4 Let r(u) = -3*u**2. Let h(j) = -94*j - 6. Let a(x) = -24 + 91*x + 104 - 27 - 24 - 25. Let v(t) = 3*a(t) + 2*h(t). Give r(v(q)). -21675*q**2 Let j(z) = -3*z**2. Let b(x) = 723*x + 60. Let g(l) = 3*l - 20. Let d(q) = -b(q) - 3*g(q). Calculate j(d(v)). -1607472*v**2 Suppose 0 = 607*d - 640*d + 66. Let q(i) be the second derivative of 0 + 0*i**d - 1/2*i**3 + i. Let j(z) = 4*z**2. Determine j(q(a)). 36*a**2 Let y(k) = k + 4*k - 8*k - 6*k + 22*k. Let t(h) = -2*h + 27. Determine t(y(w)). -26*w + 27 Let u(d) = 2*d + 2*d + 0*d - 6*d - d. Let g(q) = 17*q**2 - 5*q. Let j(f) = -26*f**2 + 8*f. Let m(z) = 8*g(z) + 5*j(z). Determine m(u(t)). 54*t**2 Let l(p) = 4*p**2. Let q(b) = b**2 - 1. Let k(v) = -1312*v**2 + 820. Let a(j) = k(j) + 820*q(j). Calculate a(l(i)). -7872*i**4 Let p(b) = 33*b**2. Let n(m) = -2*m**2 - 5. Let z(l) = 14*l**2 - 12*l**2 - 3*l**2 - 2. Let h(k) = 2*n(k) - 5*z(k). What is p(h(i))? 33*i**4 Let n(l) = -4*l. Let d(v) = 351*v**2 + 12555. What is n(d(x))? -1404*x**2 - 50220 Let t(i) be the first derivative of -15 + 29/3*i**3 + 0*i**2 + 0*i. Let s(m) = 9*m. Give t(s(z)). 2349*z**2 Let l(a) = -8*a**2 - 14*a - 5. Let w(j) = -9*j**2 - 16*j - 6. Let f(g) = 6*l(g) - 5*w(g). Let p(z) = -39*z. Determine f(p(i)). -4563*i**2 + 156*i Let h(j) = 68*j - 5*j**2 - 68*j + 14*j**2 - 7*j**2. Let o(c) = -4375*c**2 - 2. What is o(h(w))? -17500*w**4 - 2 Let k(d) be the second derivative of -d**3/3 - 671*d. Let j(v) = -3 - 1 - 1 - 18*v + 1. Determine k(j(b)). 36*b + 8 Let b(w) = -w**2. Let l = -126 + 157. Let r(h) = -57 + 56 + 8*h - l*h. Determine r(b(f)). 23*f**2 - 1 Let l(n) = 2*n. Let y = 37 + -40. Let w(g) = 43*g**2 - 4. Let p(b) = -43*b**2 + 3. Let m(f) = y*w(f) - 4*p(f). What is l(m(v))? 86*v**2 Let v(d) = 17*d**2 - 9628*d. Let k(x) = 2*x**2. Give v(k(j)). 68*j**4 - 19256*j**2 Let m(r) = 4*r. Let v(z) be the third derivative of -67*z**4/12 - 1597*z**2. Determine v(m(t)). -536*t Let s(f) = -3*f. Let m(t) be the first derivative of -7*t**3/6 - 140*t + 12. Let z(b) be the first derivative of m(b). Determine z(s(j)). 21*j Let u(k) be the second derivative of 0*k**2 - 140*k + 0 - 1/6*k**4 + 0*k**3. Let l(s) = -138*s**2. Calculate l(u(m)). -552*m**4 Let g(j) = -147075424*j. Let r(c) = 3*c. Determine r(g(n)). -441226272*n Let g(s) = 5*s. Let n = -2204 + 2206. Let q(x) be the second derivative of 0*x**n - 1/3*x**3 + x + 0. Determine g(q(z)). -10*z Suppose -12*q - 3*q + 225 = 0. Let v(w) = w + 10*w - q*w + 0*w. Let k(t) = -20*t**2. Give k(v(y)). -320*y**2 Suppose -2306 - 1662 = -8*s. Let l(z) = 499*z + 4 - 4 - s*z. Let q(f) = 2*f + 3*f + f. What is q(l(a))? 18*a Let c(j) = 54*j - 5. Let r(s) = 2*s**2 + 3609*s. What is r(c(d))? 5832*d**2 + 193806*d - 17995 Let u(y) = 114648 + 12*y**2 - 114648 - y**2 + y**2. Let f(j) = -47*j**2. Determine u(f(w)). 26508*w**4 Let h(x) = 31*x - 2. Let f(o) = -2*o + 16. Let p(u) = -16*u + 64. Let l(z) = 12*f(z) - 3*p(z). Calculate h(l(r)). 744*r - 2 Let p(v) = -140*v**2. Let c(y) = 6124*y. Determine p(c(n)). -5250472640*n**2 Let t(s) = 4*s. Suppose 5*n + 8 = 4*f, -n - 60*f = -55*f - 10. Let p(c) be the third derivative of 0 + n*c - 1/24*c**4 + 0*c**3 + 15*c**2. What is p(t(a))? -4*a Let i(w) = -551*w. Let a(j) = -108*j. Calculate a(i(g)). 59508*g Let a(x) = 1 + 5 + 15068*x**2 - 15085*x**2 - 6. Let f(t) = t - 10. Give a(f(j)). -17*j**2 + 340*j - 1700 Let b(o) = 51502255*o. Let p(n) = 2*n. Calculate b(p(x)). 103004510*x Let v(j) be the second derivative of -59*j**4/12 + 2356*j. Let h(w) = 4*w**2. Determine h(v(n)). 13924*n**4 Let l(m) = -7*m - 4. Let d(r) = -10*r
{ "pile_set_name": "DM Mathematics" }
d derivative of o(p) wrt p. 72 Let m(n) be the second derivative of 13/2*n**2 - n**3 + 0 - 24*n. What is the derivative of m(l) wrt l? -6 Let r(h) = -h**3 + h**2. Let f(p) = -7*p**3 - 160*p**2 + 25*p - 3. Let i(l) = -f(l) + 5*r(l). What is the second derivative of i(z) wrt z? 12*z + 330 Suppose 4*g - 5 = 15. Suppose -20 = -g*u - 5*b, b + b - 14 = -5*u. Find the second derivative of 3 + 0*c - 3 + c**u - 5*c wrt c. 2 Let p(q) be the first derivative of -152*q**3 + 7*q**2 + 15*q + 426. Find the second derivative of p(c) wrt c. -912 Let w(j) be the first derivative of j**7/210 - 11*j**4/24 + 5*j**2 + 6. Let y(c) be the second derivative of w(c). What is the second derivative of y(a) wrt a? 12*a**2 Let w(t) be the first derivative of -18 - 7/2*t**6 - 7/3*t**3 + 0*t + 0*t**4 + 0*t**5 + 0*t**2. What is the third derivative of w(s) wrt s? -1260*s**2 Let p be 10 - (7/21 + 34/6). Let a(z) be the second derivative of 0 + 1/2*z**p - 2*z + 0*z**2 + 4/3*z**3. Find the second derivative of a(g) wrt g. 12 Suppose 5*v - 17 - 13 = -4*b, v = 3*b - 13. Let q be 3/((-2)/(14/(-7))). What is the third derivative of -q*a**6 - 6*a**2 + v - 2 - 10*a**6 wrt a? -1560*a**3 Let l = -12 - -13. Let o(y) be the first derivative of -y**2 - l - y**2 - 3*y**2 + 4*y**3. What is the second derivative of o(g) wrt g? 24 Let h(o) be the second derivative of -29*o**7/21 - 7*o**5/20 - 425*o**4/12 - 1010*o. What is the third derivative of h(c) wrt c? -3480*c**2 - 42 Suppose -4*z + 17 = 3*m + 2*m, 5*m + z - 8 = 0. Differentiate -105*j - 2 - m + 108*j wrt j. 3 Let c(i) be the second derivative of -23*i**8/28 + i**4/6 - i**2/2 - 4*i + 8. Find the third derivative of c(t) wrt t. -5520*t**3 Suppose 5*i = -0*i + 45. Let l = 19 - i. Find the third derivative of -5*m**2 - 4*m**2 - m**2 + 0*m**2 + l*m**3 wrt m. 60 Let s(c) be the first derivative of 31*c**5/5 - c**4/4 + c**3 - 2*c + 7. Find the third derivative of s(l) wrt l. 744*l - 6 Let t(u) be the second derivative of -37*u**5/4 + u**4/6 - 19*u**3/6 - 36*u. Find the third derivative of t(y) wrt y. -1110 Suppose 45 = 5*f + 10. Let r(v) = -v**2 - 13*v - 9. Let g be r(-12). Find the third derivative of f*t**3 - t**3 + t**3 - 7*t**2 - t**g wrt t. 36 Let p be (-18)/27*(-6)/1. Differentiate 1 - p - 11*d - 11 wrt d. -11 Let c be -2*(-2 + -1 + 2 + -2). Differentiate d**3 - 2 - 12 + 14*d**3 - c with respect to d. 45*d**2 Let d(f) be the second derivative of 61*f**6/10 - f**3/6 + f**2/2 - 109*f. Find the second derivative of d(c) wrt c. 2196*c**2 Let d be (-24)/(-2 - -5) + 1. Let k = -2 - d. Find the third derivative of -k*u**2 + 4*u**2 - 3*u**2 - 2*u**4 wrt u. -48*u Let c = -41 + 53. What is the first derivative of -c*k + 16 - 31 + 14 wrt k? -12 Let a(m) be the second derivative of 7*m**6/720 + 11*m**5/60 + 7*m**4/4 + 22*m. Let v(p) be the third derivative of a(p). Differentiate v(i) with respect to i. 7 What is the second derivative of -135*r - 8 + 7 + 290*r**2 + 116*r wrt r? 580 What is the third derivative of -u**6 + 6*u + 24*u**5 - 14*u**2 - 7*u**5 - 4*u + 8*u**5 wrt u? -120*u**3 + 1500*u**2 Let s(k) = k**4 - 1. Suppose -3*a = -1 + 4. Let v(q) = 27*q**4 - 35*q - 3. Let u(z) = a*v(z) + 3*s(z). Find the second derivative of u(h) wrt h. -288*h**2 Let p = 21 + -23. Let w be 2 + 0*p/(-10). Differentiate 6*k**2 - 6*k**w - 12 + 3*k**4 with respect to k. 12*k**3 Let h(u) = 13*u**3 - 13*u**2 - 37. Suppose -52 = -0*i - 4*i. Let z(r) = -7*r**3 + 6*r**2 + 18. Let k(p) = i*z(p) + 6*h(p). What is the derivative of k(y) wrt y? -39*y**2 Let j(w) = -2*w**5 + 5*w**4 - 226*w**2 + 17. Let c(p) = -p**5 + 3*p**4 - 113*p**2 + 8. Let n(a) = -13*c(a) + 6*j(a). Find the third derivative of n(t) wrt t. 60*t**2 - 216*t Let p(d) be the first derivative of 21*d**5/5 - 2*d**3/3 - 67*d - 70. Differentiate p(u) with respect to u. 84*u**3 - 4*u Let w(f) be the second derivative of -8*f**4/3 + 29*f**3/3 + 5*f + 3. What is the second derivative of w(l) wrt l? -64 Let n be (-5)/(-1)*64/10. Let j be (-3)/24 - (-100)/n. Find the first derivative of 0 + 2*o**j + 1 + 1 - 4 wrt o. 6*o**2 Let k(m) be the first derivative of 248*m**3/3 - 265*m + 265. What is the derivative of k(r) wrt r? 496*r Let r = 89 - 84. Let h(m) be the second derivative of 0*m**2 + m + 1/3*m**3 + 0 + 1/20*m**r + 0*m**4. Find the second derivative of h(v) wrt v. 6*v Let j(t) = -t**2 - 6*t + 2. Let b be j(-3). What is the second derivative of -b*w**3 - w**3 + 8*w**3 + 13*w wrt w? -24*w Suppose -r + 6 = s, -r + s - 4 + 0 = 0. Let q(a) = -3*a - 9. Let f be q(-4). Differentiate 2*z**3 - z**f + 0*z**3 - 4 - r wrt z. 3*z**2 Suppose 4*y - 5*p - 14 = 0, 0 = 3*y - p + 5 - 21. Differentiate 22 + 3*q**4 - y*q**4 - 21 - 8*q**4 wrt q. -44*q**3 Let g(h) = h + 8. Let y(z) = 141*z - 113. Let c(j) = -2*g(j) - 2*y(j). What is the derivative of c(u) wrt u? -284 Let b(l) be the second derivative of 0 + 0*l**3 - 14*l + l**2 - 3/2*l**4 + 0*l**5 + 17/10*l**6. Find the third derivative of b(r) wrt r. 1224*r Let u(b) be the third derivative of b**7/42 - 8*b**3/3 - 59*b**2. Differentiate u(t) with respect to t. 20*t**3 Let x(g) be the first derivative of 101*g**2/2 - 166*g + 6. What is the first derivative of x(m) wrt m? 101 Let j(a) be the third derivative of -23*a**9/168 - a**7/105 + 103*a**5/60 + 4*a**2 + 54. Find the third derivative of j(q) wrt q. -8280*q**3 - 48*q Let u = 35 - 17. Let i be 4/u - (-2)/(-9). What is the second derivative of -3*l + 0*l + i*l - l**5 - 6*l**5 wrt l? -140*l**3 Suppose 4 = t + t. Let d(l) = -2*l**2 + 2. Let o be ((-2)/1)/((-4)/6). Let w(x) = x**2 - 1. Let r(g) = o*w(g) + t*d(g). Differentiate r(b) wrt b. -2*b Let x(a) be the first derivative of -78*a**5 - 16*a - 297. What is the derivative of x(v) wrt v? -1560*v**3 Find the third derivative of -3182*d + 3182*d - d**3 + 28*d**4 + 6*d**3 + 8*d**2 - 5 wrt d. 672*d + 30 Let o(f) be the third derivative of 0*f**6 + 0*f + 0*f**5 - f**3 - 3/14*f**7 + 0*f**4 + 0 + 21*f**2. What is the first derivative of o(m) wrt m? -180*m**3 What is the third derivative of 8*z**2 - 24*z**3 - 25*z**3 + 42*z**3 - 2 - 26*z**2 wrt z? -42 Let q(p) be the first derivative of -p**6/120 + p**5/20 + 16*p**3/3 - 10. Let t(y) be the third derivative of q(y). What is the second derivative of t(i) wrt i? -6 Find the third derivative of -230*z**6 + 52*z - 29*z**2 - 52*z wrt z. -27600*z**3 What is the second derivative of -2 + 38*i**3 - 29*i - 39*i**3 + 2 + 1 - 5 + 17*i**2 wrt i? -6*i + 34 Suppose 2*x - 9*x = -14. What is the third derivative of 11*q**5 - q**5 + 8*q**x + 3*q**2 - 3*q**2 wrt q? 600*q**2 Let i(j) be the first derivative of j**9/21 + 7*j**5/30 + 13*j**2 + 27. Let u(n) be the second derivative of i(n). What is the third derivative of u(a) wrt a? 2880*a**3 Let a(c) = 51*c**3 - 2*c**2 + 2*c + 63. Let m(k) = -203*k**3 + 9*k**2 - 9*k - 252. Let p(x) = -9*a(x) - 2*m(x). Differentiate p(z) with respect to z. -159*z**2 Let l(q) be the first derivative of 7*q**2/2 - 10*q + 8. Let r(m) = -28*m + 40. Let b(i) = -9*l(i) - 2*r(i). What is the first derivative of b(g) wrt g? -7 Let i(t) = -3*t**2 - 9*t + 4. Let r be i(-3). What is the third derivative of -64*o**r - 2*o**2 + 64*o**4 - 4*o**2 - 4*o**6 wrt o? -480*o**3 Let r(f) be the second derivative of 0*f**6 + 0*f**4 + 0 + 0*f**5 - 5/7*f**7 + 4*f + 2/3*f**3 + 0*f**2. Find the second derivative of r(a) wrt a. -600*a**3 What is the third derivative of 3*k**4 + 124*k**2 - 2*k**6 - 43*k**3 - 20*k**4 + 84*k**3 - 41*k**3 wrt k? -240*k**3 - 408*k Let i(w) = -19*w - 18. Let x(v) be the second derivative of 0 - 9/2*v**2 - 5/3*v**3 - 8*v. Let q(p) = -3*i(p) + 5*x(p). Differentiate q(m) wrt m. 7 Let i(j) be the second derivative of j**7/2 + j**5/10 - 83*j**3/6 + 32*j. Find the second derivative of i(k) wrt k. 420*k**3 + 12*k Let i(o) be the third derivative of -o**5/20 - o**4/3 + 2*o**3/3 - 10*o**2. Let r(q) be the first derivative of i(q). Differentiate r(m) wrt m. -6 Suppose -j - y = -5*y - 15, -2*y = -4*j + 88. Suppose -5*g - 2*t + j = 0, 4*g - 8*g - 5*t + 15 = 0. Differentiate g - 3*z**2 + 1 - 3 with respect to z. -6*z Let i be (16 - 17)/(10/(-4)). Let u(f) be the first derivative of i*f**5 + 2 + 0*f**2 + 0*f**4 + f**3 + 0*f. What is the third derivative of u(l) wrt l? 48*l Let l be 10/4*(-80)/(-100). Differentiate -6*h**2 + 3 + 3 + 8*h**l + 4 wrt h
{ "pile_set_name": "DM Mathematics" }
w(y) = y + 1. Let n(z) = 2*z. Let p(m) = -n(m) + 3*w(m). Let h be p(-7). Let o be 56/24 + (1 - 2). Which is the smallest value? (a) o (b) 1 (c) h c Let k(h) = h**2 + 6*h - 50. Let r be k(5). What is the biggest value in r, -2/27, 0, -5? r Let t = 113.3 - 113. Let y = 75 - 78.1. Let k = y - -3. Which is the third smallest value? (a) 2 (b) k (c) t a Let v = -10.9 + 10.8. Let j = 397/7 + -57. What is the second biggest value in 4, j, v? v Let j = -9.6 - -19. Let q = j + -9. Let g(d) = -d**3 + 9*d**2 - 9*d + 3. Let k be g(8). Which is the second biggest value? (a) q (b) 5 (c) k a Let w = -0.051 - -5.051. Let t = 0.12 - -1.88. What is the biggest value in 4, w, t? w Let i = -119 - -1545/13. What is the second smallest value in -18, 1, 0.3, i? i Let s = -145.3 + 145. Suppose -4*j + 4*z + 16 = 0, -2*j = -0*j - 3*z - 8. What is the smallest value in 2, s, j? s Let p be (0/(-1))/(3 + -4). Let i = 121.8 + -116.8. Which is the third biggest value? (a) p (b) i (c) 4 a Let p = -2.11 - -0.81. Let q = 0.9 - 2.6. Let i = q + p. Which is the second smallest value? (a) i (b) -9 (c) -0.3 a Let j be ((-12)/(-3))/(-4)*1. Let t = -47 - -8. Let n be 2/8 + t/12. What is the biggest value in 1/6, n, j? 1/6 Let d be (0 + -1)*3/(-1). Let r = 20 - 0. Suppose d*j - 7*j = r. What is the second biggest value in 0.3, j, 0.4? 0.3 Suppose 12 = 2*n + 15*s - 12*s, -n - 5*s = -20. What is the second smallest value in n, 35, -3? n Let y = 2.858 - -0.142. What is the third biggest value in y, 4/3, 0.24? 0.24 Let f = -32 + 20. What is the third biggest value in f, -0.2, 1/3, -5/4? -5/4 Let x = -31911 + 2169907/68. Let i = -777/34 - -45/2. Let z = i - x. Which is the third biggest value? (a) z (b) -1/8 (c) 2/5 b Let v be ((-196)/(-16))/(-7) + 2. Let t be (-39)/52 - 50/(-24). What is the third biggest value in v, -3, -0.3, t? -0.3 Let v be 3/15 + (-17)/35. Let z = 0.05 - 0.15. Suppose i - 3*i + 8 = 0. Which is the biggest value? (a) z (b) i (c) v b Let z = -6/23 + 44/345. Which is the third biggest value? (a) z (b) 2 (c) -3 c Let h = -7.12 + 7. Let g = -1.12 - h. What is the third biggest value in -3, -6, 2, g? -3 Let d = 0.27744 + -0.07744. Let n = 0.4 - 0.5. What is the fourth biggest value in 0, n, -2, d? -2 Let h = 2.25 - 2.21. Which is the third smallest value? (a) h (b) 4/7 (c) -10 (d) -4 a Suppose -12 = -r + 4*t, -3*r + 4*t + 3 + 1 = 0. Let g(v) = -v. Let o be g(r). Let i = 9/16 + -49/144. What is the third biggest value in i, o, -2? -2 Let v = -66 - -465/7. Suppose 0 = 3*y + q - 189, 3*y - 5*y + 126 = 3*q. Let l = 184/3 - y. Which is the smallest value? (a) l (b) 0.4 (c) v a Let x = 0.39 + -0.59. Let q = -0.8 - 2.2. Which is the second smallest value? (a) -1/10 (b) x (c) q b Suppose 12*s - 629 + 665 = 0. What is the second smallest value in 1, 8, 0.01, s? 0.01 Let b = 6 + -40. Let v = b + 35. Let x be 30/56 - 3/12. What is the second smallest value in x, v, -0.08? x Let v = -305 - -305. What is the biggest value in v, 4, 1/8? 4 Let s be 2/6*(-2)/4. Let x = -12119.4 + 12119. Which is the fourth smallest value? (a) 1/3 (b) 3 (c) s (d) x b Let r = 312 + -312.138. Which is the third smallest value? (a) r (b) -5 (c) 1 c Let w = 1.62 + -1.69. Which is the second smallest value? (a) w (b) 2 (c) 5 (d) 5/4 d Let i = -235/2541 - 1/363. Let x = 12 + -7. Which is the third smallest value? (a) -1 (b) i (c) x c Let f be 1*(7 + 0 + -2). What is the third biggest value in 8.9, 0, f? 0 Let s = 1562233497195137/18595960 + -1428158022/17. Let g = s + -3/1640. Let h = g - -5322/4669. What is the third smallest value in h, -4, 1/5? h Suppose 3 = -4*j - 13. Let w be 2*(-3 - j) + -1. What is the second smallest value in -2/11, w, 2/21? 2/21 Let g = -609.95 + 610. What is the smallest value in 4, 2/11, g, -0.1? -0.1 Let k = 843 + -842.981. Which is the fourth biggest value? (a) 2 (b) k (c) 2/15 (d) 0 d Let z = -1.6 - -5. Let l = -1.4 + z. Let r = -4.99 + -0.01. Which is the third smallest value? (a) l (b) r (c) -4/5 a Let b be (5 - 236/48)/((-6)/27). What is the second smallest value in 1.1, -5, b, -0.3? b Let i = 4.9 - -0.1. Let x(p) = -2*p**2 + 13*p + 1057. Let o be x(-20). Which is the biggest value? (a) -1/6 (b) 1/5 (c) o (d) i d Let d = 21 + -28. Let x be 0 - ((1 - -3) + d). Which is the second biggest value? (a) x (b) -6 (c) -3/4 c Let o = -0.14 + -2.26. Let z = -2.4 - o. What is the smallest value in -1, 1/4, z? -1 Let q = 0.3362 + -0.0362. What is the second biggest value in -9/2, 0.2, q, 2/11? 0.2 Let a(i) = -i - 2. Let y be a(-2). What is the biggest value in 0.03, y, 0.4, 5/3? 5/3 Let z = 419 - 418.6. Which is the second biggest value? (a) 8 (b) z (c) 0.2 b Let m(z) = 28*z - 169. Let u be m(6). What is the smallest value in -4/3, u, -5/6? -4/3 Let i = -5 + 4.6. Let l = 52.6 + -48. Let r = l - i. What is the third smallest value in -3, r, -0.2? r Let z be (-464)/(-112) + (-6 - -1) + 1. Let q be 1/2 + 2/(-8). What is the second biggest value in z, q, 0.3? q Let x = 0.003 + -0.022. Let d = x - 0.381. Suppose -6*h + 4*h = -5*z + 16, 5*h - 18 = -2*z. Which is the biggest value? (a) -2 (b) d (c) z c Let u = -0.82 - 0.99. Let l = -1.51 - u. Let m = -12 - -7. What is the third biggest value in m, l, 5? m Suppose -1 = -j + 1. Suppose 4 = -2*v + j*p, -2*v - 14 = 3*p - 0*p. Let o be (1 + v)*(-4)/(-42). Which is the biggest value? (a) -0.3 (b) 2 (c) o b Let f = 38 - 38.074. Let y = f + 0.094. Which is the third smallest value? (a) 0.3 (b) 2/9 (c) -2 (d) y b Let p = 0.3548 - -0.0452. What is the second biggest value in p, 2, -1, 1? 1 Let w = 491/5 + -98. What is the third biggest value in 3, w, 1, -4? w Let q = -21.09 + 21.1. What is the second biggest value in q, 2/15, 0.2? 2/15 Let q = -8/9 + -52/63. Let u = -16 + 18. Which is the biggest value? (a) u (b) q (c) 0.2 a Suppose 4*g + 586 - 548 = f, 2*g + 4*f = 8. Suppose 0 = 2*o + 5*i - 19, -1 = -3*o - 2*i - 0. Which is the second biggest value? (a) g (b) o (c) -5 c Let k = 764 + -760. Let x = -8 + 6. Let y = 10.1 - 10. What is the third smallest value in x, k, y? k Let s = -1.92 - 7.38. Let k = -6.3 - s. What is the third biggest value in 2, -0.5, k? -0.5 Let h = 195 - 194.6. Which is the biggest value? (a) h (b) -0.8 (c) 0.2 a Let i = -0.474 + 3.474. What is the third biggest value in 4/7, -9.3, i? -9.3 Let s be (-11 + 715/66)*2. What is the biggest value in -4, 2/9, 5, s? 5 Let s = 6.4 + 3.6. Let n = s - 7. Let q(z) = 5*z + 1. Let i be q(-1). Which is the third biggest value? (a) i (b) -5 (c) n b Let o = -107/2 - -52. Let t be ((-42)/(-12))/(-7)*2*3. Let u be -1*5*(-2)/55. Which is the third smallest value? (a) t (b) u (c) o b Let y(r) = -13*r**2 - 83*r + 174. Let w be y(-8). Let k = 0 + 0. Which is the fourth biggest value? (a) -0.5 (b) w (c) 0.2 (d) k a Let m = -0.57 + 0.5. Let l = 544 + -548.07. Let i = l - m. What is the biggest value in 1, -1, i? 1 Let i be (12/(-4))/(-3) - 12. Which is the third biggest value? (a) i (b) -0.3 (c) 3/2 a Suppose -40 = 3*u - 5*f, 4*f + 3 + 2 = -5*u. What is the third smallest value in 0, u, -14, -0.3? -0.3 Let h = -24 + 59. Let r be (-20)/(-18)*(-3 + (-32)/(-10)). Which is the biggest value? (a) 0.5 (b) h (c) r b Let d = -3 - -3. Let g = -306 + 300. Which is the third biggest value? (a) g (b) d (c) 2 a Let n(t) = t - 22. Let o be n(10). Let u be (18/o)/(14/4). Which is the third smallest value? (a) 4 (b) -0.3 (c) 0.5 (d) u c Let r = -67 - -74.6. Let t = 13.6 - r. Let n be 2*(-1)/18*2. What is the third smallest value in n, 3, t? t Let h = -5 - -4.5. Let r be (-3)/(-2 + 3)*1. Let y be (5/4)/(r/(-12)). Which is the biggest value? (a) y (b) h (c) -5 a Let s = 273 + -1908/7. Let h = 3433 - 3436. What is the biggest value in h, -22/3, s? s Let d = -0.03 + 4.03. Let x = 419 + -424. What is the second smallest value in 0.5, d, x? 0.5 Suppose 0*h + 2*h = 8. Let g = 1.2 - 1. What is the smallest value in -2, g, h? -2 Suppose 8*d + x - 403 = 3*d, -4 = 2*x. Suppose 12*l - 3*l = -d. Which is the second biggest value? (a) -5 (b) -2/19 (c) l a Let o = -4603/9 + 512. Let i = 22 + -20. Which is the second biggest value? (a) i (b) -4 (c) -5 (d) o d Let i = 1384 - 1383.99. What is the third smallest value in i,
{ "pile_set_name": "DM Mathematics" }
, 0 = -j - 3*i + 45. Let t = j + g. Is t a multiple of 7? False Let u(m) = 2*m**3 + 7*m**2 - 5*m + 1. Let c be u(4). Suppose -g = -4*s - 61, 6*g - c = g - s. Does 11 divide g? False Let z(u) = -2*u**3 - 5*u**2 + u + 5. Let q be 4/16 + 17/(-4). Let d be z(q). Suppose -b + 1 + 31 = -3*m, -2*b + 3*m = -d. Is b a multiple of 14? False Let k(l) = l**3 - 21*l**2 - 34*l - 32. Is 6 a factor of k(23)? False Let f = -117 - 38. Let y = -78 - f. Is y a multiple of 12? False Suppose -2*x + 4*k = 7*k - 19, -3*x - 3*k + 21 = 0. Suppose -x*m + 720 = 10*m. Is m a multiple of 10? True Suppose 3*a - 5*z - 14 = 14, 4*a - 2*z = 28. Suppose -a*n = -10*n + 196. Is 12 a factor of n? False Let t = 107 + 61. Suppose -t = -3*z - 4*z. Is z a multiple of 9? False Let d(a) = a**2 - 15*a - 7. Let s be d(16). Let n(y) = 7*y + 13. Is n(s) a multiple of 17? False Suppose 3*x - 5*z = 2278, 2*x - 382 = -2*z + 1142. Is x a multiple of 13? False Let s be -2 - -5 - (4 - 2). Let m be 1/(24/21 - s). Let k(h) = 7*h - 9. Does 13 divide k(m)? False Let j = -400 - -526. Is 7 a factor of j? True Does 6 divide 90 + (16 + -11 - (-3 - -3))? False Suppose 3252 = 3*q - 6*x + 9*x, 0 = 5*x - 15. Is 23 a factor of q? True Is 39 a factor of ((-992)/(-40))/(3 - 236/80)? False Suppose 24*d = 17*d + 10493. Is d a multiple of 22? False Is 6 a factor of 24*(70/(-40) - -10)? True Suppose -5*c - 121*h = -117*h - 2744, -h + 1652 = 3*c. Is c a multiple of 23? True Suppose -4*k + q + 7388 = 3*q, 5*k - 9250 = 5*q. Is k a multiple of 44? True Suppose -759*s - 15288 = -772*s. Does 80 divide s? False Suppose 0 = -d + 3*r + r + 544, 0 = d - 2*r - 552. Does 16 divide d? True Let h(i) = -i - 3*i + 8 - 2*i. Let z be h(-10). Suppose z = 5*f - 92. Is f a multiple of 21? False Let w(i) = -4*i - 48. Suppose -60 = -0*s + 3*s. Does 7 divide w(s)? False Let k = 29 + -26. Suppose -5*b - 2*z + 49 = 0, -3*b - k*z + 27 = -z. Is b a multiple of 11? True Let f = 40 + -35. Suppose 21 = j - f. Does 24 divide j? False Suppose 20*u - 16*u - 236 = 0. Let t = u - 33. Does 13 divide t? True Let r = -101 + 83. Does 2 divide (-5)/5 - 4 - r? False Let b(t) = 5*t - 11. Let a be b(9). Suppose -70 = 4*u + a. Let i = u - -44. Does 9 divide i? True Let q(b) = 42*b**3 + 4*b**2 - 2*b - 1. Let v be q(2). Suppose -4*s = 3*z - v, 255 = 5*s - 2*s - 3*z. Suppose 5*x - s = -26. Is x a multiple of 12? True Let a(b) = -b**2 + 91*b - 317. Does 9 divide a(48)? False Let p = 386 - 167. Suppose 2*g = -p + 1045. Does 21 divide g/5 + (-2)/(-5)? False Suppose -3*m + 2*d - 91 = -3*d, 0 = -5*d - 5. Is (m/24)/(2/(-15)) a multiple of 3? False Let a(n) = -n**2 + 17*n - 10. Let p be a(16). Is (0 - -3)/(p/80) a multiple of 10? True Let s = -77 + 17. Let b = 10 - s. Let o = b + -25. Is 9 a factor of o? True Suppose -21*x - 1439 = -m - 16*x, -5680 = -4*m + x. Does 11 divide m? True Suppose -3*u - 2*l + 69 = 0, -8 = 2*l - 2. Let r be ((-6)/(-10))/(5/u). Suppose 2*s - 32 = -r*z - 0*z, 2*z - 53 = -3*s. Is 7 a factor of s? False Suppose -j = -5*q + 3*q - 612, q + 306 = 5*j. Let s = q - -544. Suppose i - 5*i = -2*u - s, -i = -4*u - 56. Is i a multiple of 20? True Let v(f) = -20*f + 1. Let r be 3 - 1 - (-1 + 0). Suppose 3 = -r*l - 0. Does 18 divide v(l)? False Suppose d - 2 = -0. Suppose d + 23 = c. Let b = c - 21. Does 3 divide b? False Let q(r) = 45 - 15*r - 45. Let s be q(-5). Suppose 4*o - 180 = -4*j, 3*j - s = j - 5*o. Is 8 a factor of j? False Suppose -2*y - q - 192 = -4*y, 3*y + 3*q - 270 = 0. Suppose -3*z - 162 = -0*z. Let h = y + z. Is 8 a factor of h? True Suppose -2*i - 5*r - 42 = 0, -3*i - r - 51 = 38. Let q = i + 61. Does 5 divide q? True Let m = 4 - 12. Let n be m*((-6)/(-2))/(-6). Suppose -3*p = 2*a - 100, -5*p - a + 165 = n*a. Is p a multiple of 15? False Let s(k) = k**2 - 3*k - 1. Suppose 4*n + 6 = 6*n. Let h be s(n). Does 6 divide h/((4/(-32))/1)? False Suppose -17*n + 21*n = 20. Suppose -3*v - n*k + 0*k = -797, 3*v - 769 = 2*k. Is v a multiple of 38? False Let j(f) = -f**3 + 19*f**2 - 20*f - 20. Is j(16) a multiple of 37? False Let g(t) = -151*t - 179. Does 11 divide g(-5)? False Is (-40)/(-12)*-9*(-18)/10 a multiple of 3? True Suppose -6*n + 1475 + 5635 = 0. Is n a multiple of 57? False Let i = -7 - -13. Let o = 8 - i. Is (-1708)/(-52) + o/13 a multiple of 11? True Suppose 2258 = 3*j - 10123. Is 22 a factor of j? False Let g(u) = -u**3 - 7*u**2 - 7*u + 3. Suppose 0 = 2*s - 4*z - 38, 3*z + 25 - 107 = -5*s. Suppose 2*q + 3*w - 31 = 6*q, -3*q - s = 4*w. Is g(q) a multiple of 13? True Let z = -8 - -33. Let j be 2/(-3 + 4)*z. Let u = j + -10. Is 15 a factor of u? False Let q = 1626 + -1398. Is q a multiple of 8? False Suppose -a - 3*a = -24. Let q(h) = -h + 12. Let v be q(a). Let p = 22 - v. Is 8 a factor of p? True Let j(k) = -k**2 - 4*k + 2. Is j(-2) a multiple of 3? True Suppose 3*o = -5*z + 2244 + 1988, -z = -o + 1400. Is 27 a factor of o? True Suppose 5*o - v - 110 = 0, 41 = 5*o - 3*o - v. Let j = o + -14. Let y(f) = 3*f - 10. Is y(j) a multiple of 17? True Let m = 144 + 1. Let z = m - 31. Is 16 a factor of z? False Does 16 divide ((-200)/(-70))/(2/14)? False Let y(m) = 2*m**3 - m**2 + 6*m - 6. Is 19 a factor of y(3)? True Suppose 23050 = 21*i - 4292. Does 42 divide i? True Suppose -10*c = -5*c - 300. Let x = c + -37. Is x a multiple of 4? False Suppose -147*d + 9502 = 4*n - 148*d, 0 = -2*n - 5*d + 4762. Is n a multiple of 72? True Let v(y) = 2*y - 14. Let u be v(7). Suppose -3*h - 60 + u = 0. Is ((-5)/h)/((-3)/(-84)) a multiple of 4? False Let f = -26 + 6. Let u = f + 22. Suppose u*y = 137 - 25. Does 14 divide y? True Suppose -17612 = -t - 6*t. Is 17 a factor of t? True Let i(u) = -3*u**3 - 13*u**2 - 19*u - 30. Is 5 a factor of i(-9)? True Let g(i) = -11*i - 5. Let u(o) = o**2 - o - 4. Let v be u(0). Does 5 divide g(v)? False Is (-4473)/(-9) - -1 - 2 a multiple of 16? True Suppose -5*v = 5*d - 380, 5*d - 2*v = v + 356. Let z = d - -87. Is 32 a factor of z? True Let g(x) be the third derivative of 11*x**5/60 - x**4/12 + x**3/2 + 36*x**2. Is g(1) a multiple of 3? True Let g(o) = -o**3 + 26*o**2 - 19*o - 37. Let v be g(25). Suppose 6*b - 977 + v = 0. Is 9 a factor of b? True Does 10 divide 0/(-10) - -215 - (2 + -7)? True Let i be ((-4)/10)/((-1)/5). Suppose 0 = 2*k + 3*z - 44, 4*z = -3*k + i*k + 22. Does 3 divide k? False Let v(o) = -o + 7. Let b be v(-4). Let j(g) = 3*g + 1. Let i be j(-1). Let s = b + i. Does 3 divide s? True Suppose 6*u + 33 = 7*u. Suppose 3*q - 213 = -u. Does 10 divide q? True Let w be (-8)/6 - 561/153. Let s = -3 + 1. Is 8 a factor of 14 + w/(5/s)? True Suppose -4*k - 4544 = -5*l - 918, -l + 726 = -k. Does 19 divide l? True Let s(o) = -7*o**3 + 8*o**2 + 13*o - 2. Let b(m) = 3*m**3 - 4*m**2 - 6*m + 1. Let a(v) = 5*b(v) + 2*s(v). Let n = -2 + 7. Is a(n) a multiple of 6? True Let q be (36/21)/((-4)/(-28)). Suppose -3*n - 9 - 14 = 4*h, -n + h - 10 = 0. Let d = q - n. Is 9 a factor of d? False Suppose 0 = 4*k - k + 3*b + 24, 36 = -4*k - 3*b. Let n be (-18)/k + (-3)/(-2). Suppose -n*s + 97 + 2 = 0. Is 14 a factor of s? False Let v(c) = 8*c + 23*c**3 - 10*c + 2 + 25*c**3. Is 16 a factor of v(1)? True Suppose -6 = -2*l, -2*s + 3*l = -s + 3. Let v be ((-8)/s)/(1/(-3)). Suppose -c = 4*w - 247, -140 + 407 = v*w - 3*c. Is w a multiple of 17? False Let i = 1085 + -364. Does 29 divide i? False Suppose -3*a + 5*n = 93, -3*a - 4 = 4*n + 62. Let d = a - -20. Is (-428)/d - (-6)/9 a multiple of 21? False Let y be (-3)/((-12)/(-8)) - -2. Suppose -4*p + 52 - 196 = y. Let l = -26 - p. Is l a multiple of 5? True Let d(v) = v**2 + 2*v - 1. Let r be d(-3). Suppose 4*h + r = -10. Is (h/9)/((-1)/18) a multiple of 5? False Let d(v) = -v**2 - 8*v + 2. Suppose 0 = -2*b + 6 - 14. Let m = b - 2. Is d(m) a multiple of 14? True Suppose 0 = -0*o - 3*o + 3*a - 9, -6 = -2*a. Suppose o*s - 5*s + 135 = 0. Is 5 a factor of s? False Suppose 2657 + 325 = 6*p. Is 2 a factor of p? False Suppose -2*l + l + 357 = -2*a, 0 = -a + 5*l - 165. Let q = 2 - 109. Let d = q - a. Is 16 a factor of d? False Let c(b) = b**3 - 10*b**2 + 10*b - 9. Let h be c(9). Let q(t) = -t**3 + t**2 - t - 3. Let r be q(h). Is (1 - -94)*r/(-5) a multiple of 29? False Let b(g) = 24*g - 43*g + 1 + 0. Does 18 divide b(-2)? False Let z(r) = 40*r + 16. Is z(10) a multiple of 26? True Suppose -3*d + 5*r = -11
{ "pile_set_name": "DM Mathematics" }
e Suppose 2*k - 2*a - 2 = -0*a, 4*k - 18 = -3*a. Suppose 8*c - 143 - 81 = 0. Suppose 0 = 3*y - 4*x - 28, k*x = 2*y + 5*x - c. Is y a multiple of 9? False Let i(n) = -n**3 - n**2 - n - 7. Does 6 divide i(-5)? False Suppose -3*z - m = -367, -4*m - 11 - 120 = -z. Is 37 a factor of z? False Let q(r) = 145*r**3 + r. Is q(1) a multiple of 30? False Suppose -4*p = p - 390. Is 39 a factor of p? True Let i = -41 - -159. Is 20 a factor of i? False Let m(s) = s**2 - 4*s + 11. Is m(5) a multiple of 4? True Suppose -5*s - 5*u + 210 = 0, -2*s + 5*u - 2*u + 99 = 0. Suppose q = -2*q + s. Does 8 divide q? False Does 7 divide 8/14 + 3165/35? True Let y = 17 - 18. Let m(q) = 38*q**2. Is m(y) a multiple of 19? True Suppose 4*v - 1 - 27 = 0. Let z = v + -5. Suppose -4*a + 178 = z*s, 5*s + 0 = -5. Is 15 a factor of a? True Does 21 divide 2 - (-1 - 15 - 3)? True Let k = 29 - -3. Is 3 a factor of k? False Suppose -2*a - 102 = -5*a. Let q = a + 21. Does 17 divide q? False Let s(a) = -45*a - 1. Let z be 10/(-14) - (-2)/(-7). Does 22 divide s(z)? True Let c(u) = -u - 5. Let r be c(-5). Suppose -2*p - 21 = -l - 4*l, -4*l - 4*p + 28 = r. Is l even? False Let f(h) = h**2 + h + 8. Let q be f(0). Let m(l) = l**2 + 8*l - 6. Let v be m(-9). Suppose -4 = 2*j, -a - v*j + q = -0. Is a a multiple of 10? False Let t(y) = -3*y - 4. Suppose -5*a = -2*j - j + 25, j = 0. Is t(a) a multiple of 5? False Let g(o) = -o**3 + 10*o**2 + 3*o + 14. Is 11 a factor of g(7)? False Let z = 17 - 14. Is z a multiple of 3? True Let o = 15 + -11. Suppose -3*i + 4*i - o = 0, -2*i + 11 = c. Does 3 divide c? True Let m(a) = a**3 - 5*a**2 - 4*a + 5. Let l(t) = -t + 12. Let j be l(6). Is 16 a factor of m(j)? False Let b be (1/3)/((-1)/(-9)). Suppose 4*f - 96 = -b*v, v = -3*v - f + 141. Is v a multiple of 12? True Let q(h) = h**2 + 11*h + 5. Let k be q(-11). Suppose 4*b + 22 = 5*g + 6*b, 0 = 2*g + k*b + 8. Does 4 divide g? False Suppose -2*x + 4*x = 20. Is 2 a factor of x? True Suppose 3 = 5*m + 13. Let a = 8 + m. Is 3 a factor of a? True Let a be 2/(-7) - 16/(-7). Does 3 divide (4/(-4))/(a/(-6))? True Let d = 11 + 11. Is 22 a factor of d? True Suppose -11 - 9 = 4*t. Let f be ((-2)/t)/(1/55). Let p = -8 + f. Does 14 divide p? True Suppose 4*d - 28 = -0. Let n(z) = -2*z**2 + 10*z + 1. Let g be n(d). Let p = -16 - g. Is 11 a factor of p? True Suppose 3 = 5*m - 2. Suppose x = -2*w + 4*x + 13, m = 5*w + 3*x. Suppose 0 = -0*v + w*v - 18. Is v a multiple of 5? False Suppose -388 = 2*y - 6*y + 4*g, 0 = -y + 4*g + 91. Is 9 a factor of y? True Suppose z = -4*f + 72, -3*f - 2*z + 22 = -32. Does 6 divide f? True Suppose 27 = d - 24. Is d a multiple of 6? False Let l = -23 - -51. Suppose -2*k = 2*s - l, 5*s - k = 3*k + 52. Does 12 divide s? True Let i = -8 + 12. Suppose 2*f - 9 - 9 = 4*p, 0 = -i*f + 3*p + 61. Does 18 divide f? False Let x(m) = 6*m + 18. Is 28 a factor of x(11)? True Suppose -4*l + 8 = 4*d, -5*d = 4*l - 5*l + 2. Suppose -2*w - 2*w + 60 = d. Is 5 a factor of w? True Let k(t) = -2*t**3 + 16*t**2 + 4*t**3 - 3*t + 36 - 24 - t**3. Is k(-16) a multiple of 20? True Let g(n) be the third derivative of -3/2*n**3 - 13/24*n**4 + 0*n + 3/20*n**5 + 0 + 1/120*n**6 - 3*n**2. Is 14 a factor of g(-10)? False Let r(i) = i**3 - 6*i**2 - i + 7. Let p be r(6). Is p/2 + (-183)/(-6) a multiple of 9? False Let c(h) = -h**2 - 7*h + 7. Let i = 27 + -34. Is c(i) even? False Let l(m) = 6*m - 8. Is 32 a factor of l(12)? True Let l(w) = -42*w - 1. Let s be l(-1). Let t = s + -19. Does 11 divide t? True Let b(p) = -8*p + 4. Let x be b(3). Let h = x - -30. Let u = h - 2. Does 6 divide u? False Let x(r) = r**3 + 6*r**2 + 4*r - 5. Let b be x(-5). Suppose b*n + 2*n - 156 = 0. Is n a multiple of 21? False Let f = 12 + 44. Let u = f + -31. Suppose -u - 14 = -r. Is r a multiple of 13? True Let d(i) = 0*i + 0*i**2 + 9*i**2 - 2*i. Is d(2) a multiple of 16? True Suppose -5*v - 2*j + 350 = 0, -3*v - 5*j = 2*v - 350. Does 6 divide 1008/v + 2/(-5)? False Suppose -5*w = -6*w - 120. Is 2/(3/w*-2) a multiple of 10? True Let b(a) = -35*a**2 - 6*a + 1. Let i(r) = -34*r**2 - 5*r + 1. Let k(s) = 5*b(s) - 6*i(s). Let v be k(1). Suppose -156 = -4*h - v. Is 16 a factor of h? True Let u be (-945)/10*(-8)/6. Suppose -6 = 5*f - u. Does 15 divide f? False Let v(p) = p**3 + 4*p**2 - 7*p - 6. Suppose -5*i - 33 = -4*r, r + 3*r = -2*i - 2. Is v(i) a multiple of 4? True Let j(f) = -f**2 - 6*f + 2. Let i be j(-6). Let q(s) = 2*s**2 - 2*s**2 - 3*s + 3*s**i - 2. Does 8 divide q(-2)? True Suppose 2*j - 137 = 103. Suppose 3*r + 0*r = j. Does 20 divide r? True Let o = -8 - -24. Does 8 divide o? True Suppose -5*f - x + 11 = 0, 5*f - 4*x - 28 = f. Suppose 0 = 2*b + b + f. Is 6 a factor of -1 - 1 - b - -7? True Suppose 3*l - 10 = 20. Does 10 divide l? True Suppose 2*j + 3*j = -20, -24 = -5*f + j. Suppose -f*q + q + 36 = 0. Is 6 a factor of q? True Let a(j) = -4*j + 18. Let r(x) = -6*x + 27. Let k(w) = -8*a(w) + 5*r(w). Let c be k(7). Suppose 0 = -c*v + 3*s + 75, -2*v + 0*s + 34 = -2*s. Does 10 divide v? False Let v(z) = -3*z - 14. Let n be v(0). Let r be ((-3)/((-6)/46))/1. Let f = n + r. Is f a multiple of 4? False Does 2 divide -3 + (32 - (-1)/((-2)/(-2)))? True Let m(s) = 2*s + 12. Does 17 divide m(11)? True Is 8 + 14 - (-2 + -1) a multiple of 20? False Suppose 2*j + 3*j = 15. Suppose 0*l - 110 = -j*l - 4*d, 0 = 4*l + 2*d - 160. Is 14 a factor of l? True Suppose -l - 123 = -4*l. Is 6 a factor of l? False Is 1*5*(-34 - -65) a multiple of 31? True Suppose 3 + 5 = 2*s. Suppose x = l + 4*l - 5, s*x = -3*l + 26. Is 2 a factor of x? False Let v(p) = 6*p**3 + 12*p**2 + 5*p + 1. Let r be 6/8 - (-6)/24. Let b(n) = n**3 + n**2 - 1. Let s(w) = r*v(w) - 5*b(w). Is s(-6) a multiple of 8? False Is 45 a factor of -1 + (-267 + 1)/(0 - 2)? False Suppose -170 = -2*h + f - 2*f, -4*h - 3*f = -338. Is 18 a factor of h? False Let m = 27 - 22. Does 2 divide m? False Suppose 6*v - 12 = 12. Let c be (-96)/(-10) - 4/(-10). Suppose -5*m - 105 = -3*d, -d + c = v*m - 8. Is 12 a factor of d? False Let z = 15 + 111. Is 6 a factor of z? True Let a be 10*(2 - (-16)/(-10)). Let u = a - 1. Let z = 4 + u. Is 2 a factor of z? False Suppose -4*x + 61 = 3*k - 38, 5*x + 4*k = 125. Is x a multiple of 4? False Suppose -12 = -2*j - 2*j. Let w(a) = 4 + 4*a**2 - 3*a**3 + 2*a**j + 14*a - 9*a. Is w(5) a multiple of 2? True Let m be (-16)/(-24)*(2 - -1). Is m - (-12 - (-4 + 7)) a multiple of 11? False Let x(l) = 2*l + 46. Is 6 a factor of x(-15)? False Let w(j) = -50*j + 3. Let n be w(-5). Let x = -128 + n. Suppose 160 = 4*r + 4*u, -2*r - 5*u + x - 42 = 0. Does 13 divide r? True Suppose 0 = 4*q + q + 5*b + 5, -q + 11 = -3*b. Suppose -52 = -5*c - 2*y, 0 = -5*y + q*y + 3. Is 6 a factor of c? False Suppose 8 = -0*b + 4*b. Suppose 18 = -y - 2. Let j = b - y. Does 11 divide j? True Let m = 97 + 141. Does 14 divide m? True Is 15 a factor of 1239/9 + (-3)/(-9)? False Suppose -52*c = -50*c - 144. Does 12 divide c? True Suppose -7*o + 20 = -6*o. Is o a multiple of 5? True Suppose q - 49 = 15. Is 26 a factor of q? False Let x = 166 - 94. Is 18 a factor of x? True Let a(s) = s**3 + 5*s**2 - 5*s + 11. Let p be a(-6). Suppose 3*z - 126 = p*w + 20, -z + 5*w = -42. Is z a multiple of 13? True Let h be (8 + -3)*(-1)/(-1). Let o(j) = j**2 - 2*j + 3. Does 13 divide o(h)? False Suppose 0 = 5*y - 3*y. Let b = y - 5. Let l(x) = x**3 + 6*x**2 - 3. Does 15 divide l(b)? False Suppose 0 = -4*s + 3*b + 201, -3*s + 46 = -2*b - 105. Suppose 2*c = n + 27, 0 = 3*c - n - s + 12. Suppose 4*r - 57 = l, -l = r + l - c. Does 9 divide r? False Suppose 0*s + 5*s = -m + 16, -5*s + 32 = 2*m. Does 4 divide m? True Let b(g) = 1. Let d(s) = -12*s - 6 + 7*s - 22*s. Let z(n) = 5*b(n) + d(n). Is 13 a factor of z(-1)? True Let x(w) = 4 + 1 + w + 0*w. Let s be x(7). Suppose -20 = -5*c, 4*o + 2*c - s = 4*c. Does 2 divide o? False Let j(p) = -8*p**3 - p**2 + p + 1. Let a be j(-1). Let w = -11 + a. Does 10 divide (-3)/1 - 132/w? True Let a(j) be the third derivative of j**4/24 - 7*j**3/2 - j**2. Let v be a(0). Is 2/7 - 498/v a multiple of 8? True Let z(q) = -q**2 + 20*q - 6. Is z(18) a multiple of 12? False Let q be 8 + (-6)/(-3) + -5. Suppose -2*z + q = -15. Does 10 divide z? True Let w be 18/(-2)*2/(-6). Suppose w*d - d = -2. Is 1/d*(-6)/2 a multiple of 3? True
{ "pile_set_name": "DM Mathematics" }
(d) = d**2 - 4*d - 8. Let f be p(6). Suppose -6*k = -2*k - f. Solve o - 4 = -k for o. 3 Let q be 2/(-8) - 10/(-8). Let h = -9 - -3. Let w be (0 - 1) + (-18)/h. Solve -q = -w*l - 5 for l. -2 Let v = 1 + -18. Let u = -11 - v. Solve -4*f + u*f + 8 = 0 for f. -4 Suppose 7*c = 10*c. Let d(n) = n + 2. Let f be d(c). Solve f*p = p + 2 for p. 2 Suppose -2*o = -15 - 11. Suppose -14 = b - 3*b. Solve -4*t = -o - b for t. 5 Suppose -40 = 6*x - 2*x. Let o = 16 + x. Suppose -4*v + 3*v + 2 = 0. Solve 0*n - v*n = o for n. -3 Let n = 5 + -2. Suppose n*m - 16 = -m. Let d be 1/(-2)*(-40)/m. Solve d*b = b for b. 0 Let r be ((-1)/3)/(2/(-6)). Solve -3 - r = -p for p. 4 Suppose 2*v + 0 - 24 = 0. Solve 3*c + c = v for c. 3 Suppose 3*d - 37 = 4*b + 42, 0 = 4*d - 5*b - 105. Solve -2*z = 3*z - d for z. 5 Let n = -1 - -3. Solve 0 = z + z - n for z. 1 Suppose 3 = -n - 0, n = -v - 3. Let f(h) = -h**2 - 3*h + 1. Let t be f(-3). Solve v = c + 1 + t for c. -2 Let o(g) = g**3 + 8*g**2 - 11*g - 15. Let x be o(-9). Solve -x*v + 10 = -2 for v. 4 Suppose 8*y - 3*y = 40. Solve -3*w + y = w for w. 2 Suppose 11 = 3*k + 2. Let y be (-2)/4*(k + -13). Suppose -2*s - h - 8 = 3*h, -5*h - y = 5*s. Solve 3*g = -s*g - 25 for g. -5 Let o = -28 - -32. Solve 0 = o*u - 8 + 28 for u. -5 Suppose 3 = -0*f + 3*f. Suppose -x + 4*q - f = 2*x, -x + 1 = -q. Solve 0 = -0*g - x*g - 20 for g. -4 Suppose -4*g - d = -73, -4*g + 15 = -d - 48. Suppose h - g = -4*p, -2*h - 1 = -11. Let n = 3 - p. Solve 2*a - 4 = -n for a. 2 Let v(u) = -2*u - 8. Let x be v(-7). Suppose -2*w + 27 = 3*t, 5*w - x*t = -t + 5. Solve -5*f - w = -8*f for f. 2 Let o = 7 - 4. Let a be 2/(o/(3 - -3)). Suppose 0 = a*w - w - 6. Solve -w = -r - 7 for r. -5 Let y = -2 - -3. Suppose -5 + 0 = -5*r. Solve p + r = -y for p. -2 Suppose i + 4*i = 110. Suppose -5*w - 15 = 2*h, -2*w - 8 = -4*h + i. Solve 0 = -0*p - h*p for p. 0 Suppose 0 = 5*p - 2*d - 2, 2*d = p - 2*p - 2. Suppose 0*r - 30 = 2*g + 4*r, -3*r - 9 = 0. Let f = 12 + g. Solve f*v = -3 - p for v. -1 Suppose 3*k + 2 = -3*p - 4, 0 = -5*k - 3*p - 2. Solve -2*y + y = -k for y. 2 Let k = 11 + -6. Solve -1 + 21 = k*t for t. 4 Suppose -3*z + 6 = 3. Suppose -3 = 4*u + g, 4 = 2*u - g + z. Solve u = 4*v - 1 + 13 for v. -3 Let c be -1*(-10 - 1) + 4. Solve -3*x + c = 2*x for x. 3 Let w be (-5 - 1)/((-3)/4). Suppose -5*f = -4*f. Solve -3*m + w - 2 = f for m. 2 Let h be 15 - 4 - 0/(-1). Let x = h + -19. Let l = x - -10. Solve -v = -l*v for v. 0 Let p(r) be the third derivative of -r**6/120 + r**5/15 - r**4/8 + r**3/2 + 7*r**2. Let g be p(2). Solve 2 = b + g for b. -3 Let t be 72/54*6/4. Solve -t*v = -v for v. 0 Suppose 2*y = -2*i + 74, 3*y = -4*i - 2*y + 152. Let p = 5 - 2. Suppose p*b - 3 = 9. Solve b*n = i - 13 for n. 5 Suppose -2*w + 5*w - 6 = 0. Solve 5*d + w + 8 = 0 for d. -2 Let h(d) = d - 5. Let c be h(8). Suppose 8 - 2 = c*q. Solve 0 = q*b - 6*b + 8 for b. 2 Let p(h) be the second derivative of 3*h - h**3 + 1/12*h**4 + 0 - 5/2*h**2. Let g be p(7). Solve -2*k = g*k for k. 0 Let g(x) = -x**2 + 10*x - 6. Let n = 13 - 21. Let k(i) = i**2 + 6*i - 8. Let m be k(n). Let q be g(m). Solve -8*c = -3*c + q for c. -2 Let o = -15 - -22. Solve 0 = 5*k - o - 8 for k. 3 Suppose 3*i - f = 0, 4*f + 13 = 2*i - f. Let u(k) = -74*k**3 + k**2. Let h be u(i). Suppose -6*p + 2*p + 5*r = -h, -3*p = 2*r - 85. Solve -4*x + p = -9*x for x. -5 Let f(b) = -b**3 + 8*b**2 + 3. Let p(y) = 20*y**3 - y**2 + 1. Let k be p(1). Let d be (-5)/k - 33/(-4). Let u be f(d). Solve q + 10 = u*q for q. 5 Suppose -5*s - 7 = -6*s - h, -s - 3*h + 17 = 0. Solve 10 - 8 = -s*u for u. -1 Let w(a) be the first derivative of a**4/4 - a**3 - 2*a**2 + a - 4. Let q be w(4). Solve r = q - 5 for r. -4 Suppose 2*r = r + 2. Suppose 1 = -4*v + 3*i - 2, 2*v + r*i - 16 = 0. Solve 4*k - v - 13 = 0 for k. 4 Let t(w) = w**3 + w**2 + 12. Let d be t(0). Let b = 6 - d. Let s be 2/b - 13/(-3). Solve -n + s*n + 3 = 0 for n. -1 Suppose f + 15 = 3*k, -5*k + 22 = f + 5. Suppose 176 = 3*g + 3*y - y, 0 = -k*g + 4*y + 248. Let d = g - 40. Solve d = -2*b - 2*b for b. -5 Suppose 0 = -2*y - 5*y. Solve y = -4*o - o + 15 for o. 3 Suppose -2 = -n + 1. Suppose 0*f - n*f = -12. Solve 0 = 3*t + t - f for t. 1 Let w(n) = -n**2 - n + 12. Let q be w(3). Solve 4*r - 17 + 1 = q for r. 4 Let r(m) = -m**2 + 6*m - 5. Let n = 9 - 6. Suppose 8 = c + n. Let t be r(c). Solve -2*h = -t*h + 2 for h. -1 Suppose 10 = 5*b - 4*p, 3*b - p + 2*p - 23 = 0. Solve 4*x = -6 - b for x. -3 Let m be 1/(-2)*(9 + -9). Solve m = w - 3*w + 2 for w. 1 Let x(z) = z**2 + 5*z + 3. Let v be x(-2). Let b = v + 7. Solve b*p + 0*p + 20 = 0 for p. -5 Let x be (0 + (1 - -1))/(-2). Let h be (-1 - 3 - x) + 9. Solve -f = f + h for f. -3 Let o be ((-15)/3)/((-2)/6). Suppose 4*u - 9 - 7 = 0. Suppose -f = -4*k + 36, 0*k - 2*f - 36 = -u*k. Solve k*b + o = 4*b for b. -3 Let f(p) = -p**2 - 5*p + 1. Let d be f(-4). Suppose 5*y - 4*l - 23 = 0, -3*y + d*l + 11 = -8. Solve 0*h + 3 = y*h for h. 1 Let b be 0 + 0 - (4 - -6). Let f be b/(-2) - 3 - 1. Let p be (2 + -2 + 0)*f. Solve -4*v = -p*v + 4 for v. -1 Let y be (-1)/(-4) + (-21)/84. Solve 0*g - 3*g = y for g. 0 Let b be (-6 - -13)*6/14. Solve 0 = -b*a + 6*a for a. 0 Let r = 9 + -11. Let x be (-8)/(-2) + (r - -1). Solve 9 - x = 2*q for q. 3 Let p(y) = -2*y - 9. Let b be p(-6). Let g(m) = 4*m + 2 + 3 - 3*m. Let x be g(-3). Solve b*a - a = x for a. 1 Let a(r) = -r - 4. Let w be a(-8). Solve w = -2*x + 2 for x. -1 Suppose -3*g = 2*g - 15. Solve 2*o + g = -o for o. -1 Suppose -l = -4*l + 4*g + 17, 0 = -5*l + 2*g + 19. Solve l = 5*w - 2 for w. 1 Let w = -36 + 39. Solve w*n = -2 + 5 for n. 1 Let z(r) = -r - 26. Let l be z(-29). Solve 3*v = 9 - l for v. 2 Let l = -11 + 5. Let p be 3/2 - l/12. Solve p*t = -11 + 1 for t. -5 Suppose -5*o + 7 = -8. Let n(f) = f**2 + 4*f + 3. Let c be n(-3). Suppose -w - w = -5*b + 10, c = 2*w - 2*b + 4. Solve o = -w*s - 3*s for s. -1 Suppose -2 = -2*r - 4. Let y = 14 + -13. Let p be r + (0 + 2)/y. Solve p = g + 5 for g. -4 Let n = -59 + 61. Solve -p + 4 = n for p. 2 Let a(k) = -89*k**2 + 0*k + 90*k**2 + 4*k. Let w be a(-4). Solve 5 = c - w*c for c. 5 Suppose -5*y + 23 = -22. Let l be (9/(-6))/(y/(-30)). Solve -5*m - l = 20 for m. -5 Let z(b) = b**3 + b**2 + 2*b + 5. Let c be z(0). Solve -c*x + 7*x = 0 for x. 0 Let q(i) = -i**2 - 11*i + 10. Let z be q(-11). Solve f = 3*f + z for f. -5 Let f(u) = -u + 5. Let m be f(5). Solve n + 1 = -m*n for n. -1 Suppose 2*c + 2*c - 4*o = 188, 0 = -4*c - 5*o + 233. Suppose -5*s - c + 122 = 0. Suppose -s + 2 = 4*z + 5*h, -3*h = 12. Solve -v = -z*v - 1 for v. -1 Let z(p) be the first derivative of p**2/2 + 10*p - 1. Let r be z(-7). Suppose 7 - 1 = 3*k. Solve -2*m = -r*m + k for m. 2 Suppose -2*n + 20 = -0*n + 5*l, -40 = -4*n + l. Let o(f) = f**2 - 11*f + 14. Let k be o(n). Solve k*j - 2*j = 6 for j. 3 Let x be 19/3 - 1/3. Let m be 28/x*54/21. Suppose 4*t - 4 - m = 0. Solve -t*p + 15 = 3 for p. 3 Let s = -11 - -8. Let l be 8 + 1 + s + 2. Solve -a = a - l for a. 4 Suppose -3*d + 122 = 26. Let i = d + -23. Suppose w = 3*x + 11, -w + 5*x + i = -4. Solve a - w = -a for a. 4 Let h be 8/36 + (-32)/(-18). Suppose 0 = u + 2, 2*u = -2*r - 2*u + 12. Suppose -h*q + r = 3*q. Solve 4*o + q = 6 for o. 1 Let v = -50 - -56. Solve -x = -3*x - v for x. -3 Let m be ((-24)/(-6))/(-3 + 5). Solve -2*l - m*l = -16 for l. 4 Let b(a) = -4*a - 7 + a**2 - 1 + 0*a**2. Let u be b(6). Solve -c + u = 3*c for c. 1 Let t = 11 + -10. Let l be 1 + t*(-6)/(-3). Solve -5*n = 2 + l for n. -1 Let z(d) = -d**3 + 5*d**2 - 3*d. Let k be z(2). Suppose -k = -p - 3. Suppose 3*w + 5*n - 19 = 0, 4*n = -5*w - n + 25. Solve p*c + w = -6 for c. -3 Suppose 0 = -l - 5*d + 29, l + 4*d - 13 = 7*d. Let v be 5*1*(-4)/(-5). Solve v*o = -l - 1 for o. -5 Let s(t) = 8*t**2 - 1. Let b be s(-1). Let u = b - 4. Solve -u*p = -2*p - 2 for p. 2 Suppose 5*g - 29 = 3*g - 5*l, 4 = -3*g + 2*l. Suppose 4*d + 0*d - 52 = -h, -4*d + 40 = -g*h. Solve 4*c - d = -0*c for c. 3 Suppose 3*v - 4 - 11 = 0. Let o(c) = -c**2 - 7*c - 5. Let x be o(-6). Suppose v*n + 5*f + 6 = x, -3*n + 4*f = -18. Solve -3*b - 25 = n*b for b. -5 Let m(x) = x**3 + 4*x**2 + 2*x - 1. Let l be m(-2). Let w(g) = -g + 1. Let o be w(-3). Suppose -3*j + 23 + 9 = 4*a, -j = -3*a + 11. Solve l*v + j = o*v for v. 4 Let h(d) = -d**3 - 8*d**2
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
w*w**0)**(-1/62)*(w**(-2/5)*w)/(w*w*w**(-6))) assuming w is positive. w**(-52189/465) Simplify (l/(l*l*l*l/(l/(l*l**(2/3)))*l*l)*l**39*(l*l**(3/8)*l)**(-13))**(2/27) assuming l is positive. l**(59/324) Simplify (l**(-5)*(l**(-1)/l)/l)**(-23)/(l**(-3)/(((l*l**5)/l)/l)*(l*l**(-1))**(3/32)) assuming l is positive. l**191 Simplify (b*b**(1/3))/(b*b**3)*(b*b**6)/(b/(b*b**(2/7)))*b**(-1/3)/(b**(-3)*b)*b**(-1/4)/b**6 assuming b is positive. b**(1/28) Simplify (z**(-1))**(1/37)*z**(-11/5)/z**(-1/24) assuming z is positive. z**(-9703/4440) Simplify (p*p*p**(2/7)*p**(4/9)*((p*p**(-3/4))/p)/(p**(1/8)/p))/((p**(-2/5))**13)**(23/3) assuming p is positive. p**(107659/2520) Simplify (y*y**(1/10)/y*y/(y/y**(1/3)))**(-49)*y/(y/(y/y**(2/7)*y)*y)*y**(-2/9)*(y**(1/3)*y)**(-23) assuming y is positive. y**(-32387/630) Simplify ((l/(l*l**1))**38*(l*l/(l*l**(-13)))/(l**(-2/17)*l*l))**(12/7) assuming l is positive. l**(-5280/119) Simplify (h**(-15/4)/h*h*h**(20/7)/h*h**4*h**(-6/23)*h)**14 assuming h is positive. h**(1833/46) Simplify ((k**(-4/3)*k**(12/5))/(k/(k*k**8*k))**(1/27))**(1/30) assuming k is positive. k**(7/150) Simplify (m**0)**13*m**(-2/11)/m**3 assuming m is positive. m**(-35/11) Simplify i**5*i*i/(i*i**(-1)*i)*(i**(2/9))**7*(i**(2/9)*i)/(i**(2/3)/i)*(i/(i**(-2/5)/i*i))**(-45) assuming i is positive. i**(-485/9) Simplify ((s*s**(1/2))**(6/7)/(s*s/(s/(s**(-2/13)/s))*s**6))/((s**(-5/4)/(s**(-3)/s))/(s**5/s**(-2))) assuming s is positive. s**(-113/364) Simplify (f**(-34)/((f**(-24)/f*f)/f*f)*f**(4/9)/(f*f**(-3/31)))**13 assuming f is positive. f**(-37934/279) Simplify ((v*v**(-1/9)*v*v)/(v*v**5))/((v/(v**(1/3)*v))/(v/(v**(-2/7)/v)))*v**(-1)*(v**(-1/8)/v)/v*(v/(v**(2/5)*v*v))**(-2/5) assuming v is positive. v**(-38519/12600) Simplify ((j/j**(-2/65))**(14/9)/(j/(j/((j/(j*(j/(j*j**28))/j))/j))*j/((j/(((j/(j**(-19)/j)*j)/j)/j))/j)))**(26/5) assuming j is positive. j**(-55454/225) Simplify ((g/g**(-16/5))/g*g**10*g*g*g/(g**(-11)*g)*g*(g**7/g)/g)**(-6) assuming g is positive. g**(-966/5) Simplify ((v/((v*v**6)/v))/(v*v**5/v*v))/(v**3*v**(1/4))*((v*(v/v**(2/5))/v)**(-10))**40 assuming v is positive. v**(-1017/4) Simplify (h**(8/7)*h**13)/((h**(-8/15)*h)/(h*h**(-2/3))) assuming h is positive. h**(1471/105) Simplify (((d**5/(d/d**(-12/5)))**18)**(-2/43))**(-9/4) assuming d is positive. d**(648/215) Simplify ((((y*y**(1/4)/y*y)/y)**(-5)/(y*y**(-7)*y*y**(-10)))**(13/6))**(-1/9) assuming y is positive. y**(-715/216) Simplify ((n**0)**(-31)*(n/(n*n**(-1/3)))**(-48))/(n/n**(1/7)*n**(1/3)/n)**44 assuming n is positive. n**(-512/21) Simplify (z/(z/(z/(z**0/z)*z*z)))**(1/42)*(z/((z*z*z/z**(1/4)*z)/z))/(z**(-2/23)/z)*(z/(z*z**0)*z)/z*z/z**(-1/2)*z*(z/z**(-1))**(-16) assuming z is positive. z**(-58091/1932) Simplify (g/(g**(-3)/g)*g**4*g*g**(2/11)*g**(-1/4))/(g*g/(g*g/g**(-6))*g*g**(4/7)*(g**(-1)/g)/(g*g/(g*g**(-1)*g))) assuming g is positive. g**(5347/308) Simplify (h**11*(h*h**(-9)/h)/h*((h*h**3)/h)**1)**(-20/3) assuming h is positive. h**(-80/3) Simplify (g**(-3/2)/((g/(g**(-2)/g)*g)/g))**(-6)/((g/(((g/(g/((g/(g*g*g**3))/g)))/g*g)/g))/(g*g**(-1/6)*g*g*g))**(-39) assuming g is positive. g**(313/2) Simplify ((u**(-2/9)*u*u*u*u)**(2/5)/(u**0/u)**(13/3))/(u**(1/7)*u/(u*u**2))**(-37) assuming u is positive. u**(-19804/315) Simplify r**(-5)*(r*r**13)/r*(r*r/r**(-2)*r)**9 assuming r is positive. r**53 Simplify ((p**1)**5/(p**1*p*p)**(25/2))/((p/(p*p/(p**(-2/5)/p)*p))**5)**39 assuming p is positive. p**(1261/2) Simplify (((g**(-3/13)/g*g*g*g*g**4)/((g*g**(-2/5))/g)**(11/7))**(-35))**(-26/5) assuming g is positive. g**(5822/5) Simplify (w**(-2)/w*w**(6/7)*w**(-5/7)*w**(-9))**(-13/6) assuming w is positive. w**(1079/42) Simplify (((((n**(2/51)*n)/n)/n*n)/n)/n*(n**(-1/4)/n)/n*((n/n**(-11))/n)/n**(2/19))**(-25) assuming n is positive. n**(-647675/3876) Simplify ((r**(-14)*r*r**(-3/2))**(-48))**(-2/21) assuming r is positive. r**(-464/7) Simplify (((k*k/((k/(k*k**(-2/11)))/k)*k)/k)/(k*(k/(k/k**(-7)))/k))**15/(((k**(-3)*k)/k**(-2))/(k**6/k**5)) assuming k is positive. k**(1631/11) Simplify (u/(u**0/u))**10/(u**(2/7))**(-19/5)*(u*u**(-1/9)*u**(-2/11))/(u**(-2/11)/u**(-4)) assuming u is positive. u**(5662/315) Simplify (o**(-6)*o/(o*o**(1/4)))**(-2/29)/((o**2)**0/(o**(-2/9)*o)**13) assuming o is positive. o**(5503/522) Simplify (((w*w**(-2/13)*w)/w)/(w*w**11)*(((((w*w/(w*w*w**(-1/4)*w))/w)/w)/w)/w)/(w**(7/3)/w))**(-31) assuming w is positive. w**(83359/156) Simplify ((d/d**2)**(-16)*(d*d**(1/4))**(-2/13))**34 assuming d is positive. d**(6987/13) Simplify (((n*n/n**(2/11)*n)/n*n*n/(n**5*n))/(n**(-1/4)/(n**(-1/2)*n)))/(n/(n**(2/17)*n)*n*n**5*n*(n**(-2/3))**(-49)) assuming n is positive. n**(-91961/2244) Simplify (q/(q/(q*q**13)))**(36/11)/(q/(((q**(-1/26)/q*q)/q)/q)*q*q**(3/19)) assuming q is positive. q**(226173/5434) Simplify ((o/(o*o/o**(-4/3)))/o**(-2/21))**18/((o**(1/10)/o*o*o**2*o)/((o/(o*o*o**3/o*o))/(((o/(o**(-6)*o))/o)/o))) assuming o is positive. o**(-3597/70) Simplify (((y**(-42)/y)/(y*y*y**(18/11)*y*y))**(-13))**(-15/7) assuming y is positive. y**(-104325/77) Simplify ((s**3/s**(-2/7))/(s**(1/4))**27)/((s/s**(-1/4)*s)/(s/s**(-2/13))*(s/s**1)**(-31)) assuming s is positive. s**(-415/91) Simplify (z/((z/(z/z**(8/9))*z)/z)*z**(-12)/z)**(-17)/((z/(z**(-3)/z)*z*z)/z**(-3)*(z*z/z**(-4))/z*z/(z**(-1/2)/z)) assuming z is positive. z**(3629/18) Simplify ((h*h/(h/(h/h**(2/5))))**(28/3)/(h*h/(h*h/(h*h/(h/(h**(-2/27)*h*h))*h))*h*h**(-4/3)/h))**(2/11) assuming h is positive. h**(3332/1485) Simplify (f**(1/3)*f)**10*f*f**(-4)*f*f*f**4*f*(f/f**(-1/6)*f)/(f**(-1/3)*f)*f**(3/8)/((f**(-2/9)*f)/f) assuming f is positive. f**(1399/72) Simplify (g**27*g*g/(g/g**(-39)*g))/(g*g**5*g*g/((g/g**(-28))/g)) assuming g is positive. g**8 Simplify ((n/(n/(n**(-2/3)*n)*n))**(-36/11))**1*(n/(n*(n*n**(-1))/n))**(3/5)/((n/n**(-1))/(n/n**6)) assuming n is positive. n**(-232/55) Simplify ((z/(z*z/((z**6/z)/z)*z))/z**(1/4))/(z/z**(1/2))**(-21)*(z*z*(z/(z/(z*(z*z**(-1/2))/z)))/z)**(25/6)/(z/z**(-5)*z*z**(4/7)*z*z) assuming z is positive. z**(125/14) Simplify (((c*c**(-2/11)*c*c)/c)/(c/(c/(c*c**(-5)))*c)*(c**(-2/3))**(-1/8))/(c**(-3/5)*c**(-5)/c*c/c**(-2/13)*c*c*c**(-1)) assuming c is positive. c**(80203/8580) Simplify (l**(2/3)*l*l*l/(l*l**5)*l)/(l**4*(l/(l/((l*l**8)/l)))/l)*(l**(4/9)*l*(l**(-2/55)*l)/l)**(-7/9) assuming l is positive. l**(-59824/4455) Simplify (((s*s**(-1/3)*s)/s)**35)**(-39)*(s**2*s)**(-1/24)*(s**(-2))**36 assuming s is positive. s**(-7857/8) Simplify (((((w*w**(-1))/w)/w)/w)**(2/3))**6/(w/w**(-1/6)*w**(6/11)*w)**(-1/2) assuming w is positive. w**(-1405/132) Simplify ((u**(1/3))**26/(u**1/u**3))/((((u*u**1)/u)/u)/u**1*(u/(u*u**0*u))**2) assuming u is positive. u**(41/3) Simplify (x**(-8)*x**(-1)*x)/(x**(-1/2)*x*x**(-2))*((x**(-5)/x*x)/x**(-1/4))**(-1/6) assuming x is positive. x**(-137/24) Simplify ((((j/(j*j/(j/(j**2*j))*j*j*j))/j**(-1/10))**10)**(-36))**32 assuming j is positive. j**67968 Simplify ((z**(2/3)/z)**(-12/11)/((z*((z*(z/(z**(-1/4)/z))/z*z)/z)/z)/((z**(2/25)/z)/z)))**(-41/5) assuming z is positive. z**(171667/5500) Simplify ((((h*h/(h/h**5))/(h/(h**(-5)*h)*h))**(6/11))**(-2/11))**24 assuming h is positive. 1 Simplify ((b**(-14)*b*b*b**(-9/5))/(b/b**(-5/2))**(-1/7))**(-46) assuming b is positive. b**(3059/5) Simplify ((i**(-2))**16)**23*((i**(-1/4)*i)/(i*i**(-3/11)))/(((i**(-6)*i)/i)/i**(-3/10)) assuming i is positive. i**(-160661/220) Simplify o*o/o**(7/5)*o**(-2)*(o*o*o**(-1/6))/o*((o**(2/5)/o)/o)/o*o*(o/((o*o**(-3/4)*o)/o))/((o/(o*o**1))/o)*o**(-5)/o**(2/7) assuming o is positive. o**(-395/84) Simplify (((h/h**(3/2)*h)/h)/(h/(h*(((h/(h*h**(-2/5)))/h)/h)/h)))/((h/(h/h**4))/(h*h**(2/5)))*(h**(-2)/h**(-9))/((h*h**(2/17))/(h*h**8)) assuming h is positive. h**(1561/170) Simplify ((z*z/(z*(z**19/z)/z))**(-2)*(((z*z**(-6/5)*z*z)/z)/z*z)**35)**(-9/10) assuming z is positive. z**(-54) Simplify ((i/(i*i**0))**(-3))**(-8)/(i**(-1)*i*i/((i/(i*i**(-2/7)))/i)*(i**0/i)**(12/7)) assuming i is positive. 1 Simplify ((((w**(-1/5)/w)**(-4/5))**(8/3))**(17/3))**(5/6) assuming w is positive. w**(544/45) Simplify (v/(v**(1/2)*v))**(-6/13)/(v**(-1))**46*((v*v**(1/4))**(-13))**(-22) assuming v is positive. v**(10497/26) Simplify (d**(8/5)/((d*d*d**(-2/11))/d))**(-49)/(((d*d**(-2/3))/d)**(-2)/((d**(-3)*d)
{ "pile_set_name": "DM Mathematics" }
i))/i*i*i**(-6/5)))**(-11) assuming i is positive. i**(-407/5) Simplify (c**(3/2))**(-31)*c**(-2/19)*c/(c*c**(2/13)) assuming c is positive. c**(-23099/494) Simplify c/c**(-13)*c/((c*(c/(c*c**(-2/69)*c))/c*c)/c)*(c/((((c/(c**(-11)/c))/c*c)/c)/c*c))**26 assuming c is positive. c**(-18632/69) Simplify (r**14*r/(r/(r/(r/(r**1/r)))))/((r**11*r)/(r*r**(-4))) assuming r is positive. 1/r Simplify j**15*j**(-2/7)/j*(j**12)**(-1/5) assuming j is positive. j**(396/35) Simplify (z**(-1/10)*z)**5*z**(-7)/(z*(z**(2/5)/z)/z) assuming z is positive. z**(-19/10) Simplify (((n**(-1/2)*n)/(n**2/n))**2)**(2/87) assuming n is positive. n**(-2/87) Simplify (((p/(p*p/(p/p**17)*p*p))/(p*p**(-3)*p))**15)**18 assuming p is positive. p**(-4860) Simplify (j/(j*j*(j/j**(-9/5)*j)/j)*j**(3/10)*j)/(j**(1/23)*j**(-9/7)) assuming j is positive. j**(-405/322) Simplify (q**(-9)*q**(-8/5)*q)/(q*q**(4/11)*q*q*q**(1/4)) assuming q is positive. q**(-2907/220) Simplify (z**(2/3))**(4/17)*z*z/z**(-1/15)*z*z*z**(-4/3) assuming z is positive. z**(737/255) Simplify (((v*v**(1/9))/v**(-5))/(v**(-1/2)*v/(v*v**(-7))))**(12/17) assuming v is positive. v**(-14/51) Simplify (((v*(v*v/(v*v**(-2/25)*v)*v)/v*v)/((v**7*v)/v*v))/((v/(v**8/v))/v**0))**(4/7) assuming v is positive. v**(8/175) Simplify (x**(10/7))**(-9)*(x/((x/(x/x**(-4/15)))/x))/(x*x*(x/(x*x*x*x/(x*x*x*x**(-1/6)*x*x*x)))/x) assuming x is positive. x**(-3029/210) Simplify (((y/((y*y**(-4)/y*y)/y)*y)/y**(-7))/(((y*(y/(y**(-2/9)*y)*y)/y*y*y)/y)/(y**1*y*y)))**(4/7) assuming y is positive. y**(496/63) Simplify g**(-2/3)*g**(-2/51)*g**(-9)/((g*g**(8/7))/g) assuming g is positive. g**(-1291/119) Simplify (((f**(5/11)/f*f)/f)**(4/35))**43 assuming f is positive. f**(-1032/385) Simplify (b/b**20)**(-2/11)/(b/b**20)**(-18) assuming b is positive. b**(-3724/11) Simplify l**6/l*l**8*(l**(-2/3))**(39/4) assuming l is positive. l**(13/2) Simplify ((m*m**(2/3)*m)**(4/25)*(m**(-1))**(8/9))**(3/20) assuming m is positive. m**(-26/375) Simplify n**13*n**(2/25)*((n*n**20)/n)/(n/(n/(((n**(-10/7)*n)/n)/n))) assuming n is positive. n**(6214/175) Simplify (f**(-2/13)*(f/f**(-6/17)*f)/f*f)/(f**(-23)/f**19) assuming f is positive. f**(9768/221) Simplify (m*m/m**(-24/7)*m)/m*m/(m*m**23)*m*m*m**(-10)*(m**(-28)/m)/m assuming m is positive. m**(-389/7) Simplify (((v**(3/2))**(-34))**(-2/53))**(22/7) assuming v is positive. v**(2244/371) Simplify ((y**(2/9))**(-26)*y**(-1/3)/(y**(2/5)/y))**(-18) assuming y is positive. y**(496/5) Simplify (l**(6/7)/(l/l**15*l))**(1/51) assuming l is positive. l**(97/357) Simplify (t**(5/6)*t/t**(-7)*t*(t/t**(-4/3))/t*t*t/t**(-10)*t)**(4/17) assuming t is positive. t**(290/51) Simplify (n/n**31)/n**(-12)*n**26/(((n**(-38)*n)/n)/n*n) assuming n is positive. n**46 Simplify j**(3/13)/(j/(j*j**6))*j*(j**(-12)*j)/j*j*j/(j/j**(-10))*j assuming j is positive. j**(-166/13) Simplify ((((j/(j/(j*j**(3/7))))/j)/j*j*j*j/j**(-2/3))**(3/5))**16 assuming j is positive. j**(208/7) Simplify (q/(q*(q*q**0*q)/q))**(1/18)/((q*q*q**(-2/15)*q*q)/(q/((q**(-3/13)/q)/q))) assuming q is positive. q**(-809/1170) Simplify s*s*s/s**(1/3)*(s/(s**(-4/5)/s))/s*(s/s**(-2/7))**35 assuming s is positive. s**(742/15) Simplify (x/x**(-1)*x*x/(x/x**(-4/3)*x*x*x))/(x*x**5*x*x**(-1)) assuming x is positive. x**(-22/3) Simplify (i*(((i*(i*i/i**(-4/3)*i*i)/i)/i*i)/i)/i)**(-3/22)*((i**(-9/5)/i)/i)/i**(-1/3) assuming i is positive. i**(-1339/330) Simplify ((n**(-1))**48/(n**(-1))**(7/2))**(-33) assuming n is positive. n**(2937/2) Simplify (j/(j*j*j/j**(2/9)*j*j)*j**(-7)/j)/(j*j**4)**(-40) assuming j is positive. j**(1694/9) Simplify (((x**(1/6)/x)/x)/x**1)/(x/(x*x**(-5/4)))**(-4/39) assuming x is positive. x**(-211/78) Simplify ((r**(2/7)*r*r)**(-1/32)/((r**6*r)/((r*r/(r/(r**(-3)*r)))/r)))**(7/2) assuming r is positive. r**(-127/4) Simplify ((x*x*x**(-2)*x)/x*x)**(11/3)*x**11/x**3 assuming x is positive. x**(35/3) Simplify ((o**(-3)/(o*o*o/o**0))/(o**(1/11)/((o*o*o*o**(-2)*o*o*o*o*o)/o)))**(-43) assuming o is positive. o**(516/11) Simplify (u**14)**(-1/5)/((((u**(-1/53)/u)/u)/u)/u*u/(u/(u/u**(-1/25)))) assuming u is positive. u**(237/1325) Simplify ((((f*(f/(f*f*f**1*f))/f)/f)/f**(-1))/(f/(f**(2/7)/f)*f*f)**(-42))**25 assuming f is positive. f**3825 Simplify s/(s**6*s)*s*s*((s*s*s*s**(1/12))/s*s*s)/s*s*s**(-13)/(s/s**(5/3)) assuming s is positive. s**(-49/4) Simplify (u**(-1/5)*(u*u**6)/u)/(u**(-11)*u*u**8) assuming u is positive. u**(39/5) Simplify (((j/j**7)/j)/(j/(j*j**(8/7)*j)*j))/(j/j**(-2/13)*(j/j**(-4/3))/j) assuming j is positive. j**(-2278/273) Simplify (m*m**(-2))**(-10/9)/(m**(-15)*m*m*m**(-13)*m*m) assuming m is positive. m**(226/9) Simplify (z/((z**(3/5)*z)/z))/(z/(z**10/z))*(z**(2/9)*z)**2 assuming z is positive. z**(488/45) Simplify (((q**(3/2))**(-7/4))**37)**(6/23) assuming q is positive. q**(-2331/92) Simplify ((n**(2/13)/n)/n*n*n*n/n**(-1/24)*n)/((n**19*n)/(n**5/n)) assuming n is positive. n**(-4307/312) Simplify (i**(-12))**(-2/15)/(i**(-17)/(i**19*i*i)) assuming i is positive. i**(198/5) Simplify (((b*b**(2/35))/b)/b*b*b/(b**(-1)*b)*b*b)/(b**(1/5)*b*b)**(-7/4) assuming b is positive. b**(967/140) Simplify ((d/(d/(d*d/((d**5/d)/d))*d))/(d/d**(-5))*(d**(-2/5))**(-42))**50 assuming d is positive. d**440 Simplify ((i**0)**(15/4)*i**2/(i**(-1/3)/i))**19 assuming i is positive. i**(190/3) Simplify (r**(-8)/((r*r/(r/(r**10*r*r)))/r*r)*(r**6/r)/r**(-2))**25 assuming r is positive. r**(-350) Simplify p**(-3/2)/p*p*p*p**5*p**(2/5)/p*p*p**(-17) assuming p is positive. p**(-121/10) Simplify (p**(-22)/p*p*p/((p/(p/(p*p*p**8)*p))/p))**7 assuming p is positive. p**(-203) Simplify g/(g**12*g)*(g/g**(-8/7))/g*g*(g/(g*g**(-5)))/(g/((g**(-7)/g)/g)*g) assuming g is positive. g**(-111/7) Simplify (d/((d*(d*(d*d**8)/d)/d*d)/d*d))**(-15/2)*d/((d*d**(-3/2)/d*d)/d)*d/((d/d**18)/d) assuming d is positive. d**89 Simplify (c*(c/c**(-3/2)*c*c)/c*c**(-15))/(c**(3/8))**(10/7) assuming c is positive. c**(-309/28) Simplify v**(8/3)/(v**(-1/22)/v)*((v/(v*v*v**(4/7)))/v)/((v*v/((v/v**(-5))/v))/v) assuming v is positive. v**(2375/462) Simplify ((x*x/x**(-2/7)*x)**7/(x**(3/5)*x**(-1/3)/x))**(-15) assuming x is positive. x**(-356) Simplify ((s/s**(-2/21)*s)/((s**12/s)/s))/(s**4/s*s*s*s/s**(3/13)) assuming s is positive. s**(-3733/273) Simplify (((g*g*g**(2/5))**45)**(4/25))**(-1/29) assuming g is positive. g**(-432/725) Simplify b**(-10)*b/(b*b**(-13))*(b/b**(-1/3))**(2/29) assuming b is positive. b**(269/87) Simplify ((p**(1/2)*p**(3/7))/((p/(p**4*p*p))/(p**0/p)))**(-42) assuming p is positive. p**(-207) Simplify (g*g**(2/9)/g)**(-25)*((g*g*g**(-3)/g*g)/g)**(14/13) assuming g is positive. g**(-902/117) Simplify (n/(n*n/(n**5/n))*n*n*n**(-22)*n)**28 assuming n is positive. n**(-448) Simplify ((s**(-2/5)*s)/(s**(-7/4)*s))/(s**0/s*s*(s**(2/7)/s)/s*s) assuming s is positive. s**(289/140) Simplify (s**(-12/11)*s)**(2/131)/(s**(-1/10))**(-47) assuming s is positive. s**(-67747/14410) Simplify ((h/h**14)/h*h*h*h**(1/12))/((h**(-1/7)*h)/((((h/(h/h**7))/h)/h)/h*h)) assuming h is positive. h**(-653/84) Simplify ((f*f**1)**(-2/19)/(((f/(f*(f**(-1)*f)/f)*f*f)/f)/f*f)**5)**(1/5) assuming f is positive. f**(-194/95) Simplify (j**(-5/2)/j**(2/13))/(j**(-3/4)/(j**(-1/24)*j)) assuming j is positive. j**(-295/312) Simplify (h/(h**(-7)*h)*h)/(h*h**(-2/71))*((h*h*h*h/(h**(-2/3)*h)*h*h)/h*h)/h**(3/5) assuming h is positive. h**(12881/1065) Simplify (b**(-3/2)*b*b**6*((b*b*b**(1/4))/b)**(-45))**(-17) assuming b is positive. b**(3451/4) Simplify (p**(-2/33)/(p*(p/(p*p**(11/4)*p*p*p))/p))/(p**(-14)/p**(2/25)) assuming p is positive. p**(65239/3300) Simplify ((y/(y*((y/(y**(-1/5)/y))/y)/y)*y)**(-27))**9 assuming y is positive. y**(-972/5) Simplify (y/(y/((y**(8/7)/y)/y)))/y**1*(y/y**5)/(y**19/y) assuming y is positive. y**(-167/7) Simplify (h**(-12)*h**(-1/21))/(h**9*h*h**(-4)) assuming h is positive. h**(-379/21) Simplify ((i*i*i**1*i)**(-2/73)/(i**(-3)*i/(i*i**5*i*i)))**(1/30) assuming i is positive. i**(361/1095) Simplify ((r**(-17/4)/r)/((r/(r*(r*r**18)/r*r))/r))/((r**(-10)*r)/r*r/(r**(7/3)*r)) assuming r is positive. r**(325/12) Simplify ((f*f/((f/(f*f/((f**(-2/5)*f*f*f)/f)))/f))**(-4))**4 assuming f is positive. f**(-192/5) Simplify j*j**(1/2)*j**(1/3)*j**(-1/2)/(j/((j*(j**10/j)/j*j*j)/j)) assuming j i
{ "pile_set_name": "DM Mathematics" }
-2*i - 2 Let l(k) = k + 4. Suppose -2*a - 3*b - 2*b = 6, -3*b = 4*a - 16. Let m(d) = -d - 5. Suppose -c - 12 = -3*c. Determine a*l(z) + c*m(z). z - 2 Let d(w) = 3*w**3 + 2*w**2 + 2*w. Let l(i) = 16*i**3 + 9*i**2 + 11*i. Suppose -2*x - 2 = 0, 86*x + 5 = -a + 85*x. Calculate a*l(z) + 22*d(z). 2*z**3 + 8*z**2 Let s(h) = -h + 3. Let y(r) = -7*r + 36. Give 6*s(v) - y(v). v - 18 Let r(s) = 25*s**3 + 10*s**2 + 10*s + 7. Let b(d) = -8*d**3 - 3*d**2 - 3*d - 2. Calculate 7*b(j) + 2*r(j). -6*j**3 - j**2 - j Let a(p) = -7*p**3 - 4*p**2 + 6*p + 2. Let d(l) = -53*l + 312. Let i be d(6). Let g(h) = -20*h**3 - 11*h**2 + 17*h + 6. Calculate i*g(t) + 17*a(t). t**3 - 2*t**2 - 2 Let r(n) = 3*n. Suppose 0*s = 2*s - 4. Let m(b) = 10*b + 7. Let z(h) = h + 1. Let j(q) = -m(q) + 6*z(q). Let o = 67 + -64. Give o*r(u) + s*j(u). u - 2 Let h(x) be the third derivative of x**5/12 - x**4/8 - 173*x**2 - x. Let v be -1 + (0 - (-1 + -3)). Let a(z) = -z**2 + z. Determine v*a(g) + h(g). 2*g**2 Let y(w) = -9*w - 359. Let d(k) = -7*k - 357. What is 5*d(x) - 4*y(x)? x - 349 Let l(v) be the third derivative of v**4/24 + v**3/2 + 15*v**2. Let s(a) = -a - 2. Let o = -2 - 2. Let d be (o - 1)*2/(-5). What is d*l(w) + 3*s(w)? -w Let l(q) = 4*q - 7. Let y(j) = -10*j + 21. Calculate 8*l(h) + 3*y(h). 2*h + 7 Let y(h) = -4*h**3 - h**2 - 3*h + 5. Let k = 24 - 21. Let q(v) be the third derivative of -v**6/40 - v**4/12 + 2*v**3/3 - 4*v**2. Determine k*q(a) - 2*y(a). -a**3 + 2*a**2 + 2 Let b(r) = 7*r**3 + 27*r**2 - 9*r + 2. Let c(u) = -5*u**3 - 26*u**2 + 7*u - 1. Calculate 3*b(s) + 4*c(s). s**3 - 23*s**2 + s + 2 Let r(f) = 2*f**2 + 1. Let t(l) = 15*l**2 + 2. Let z(v) = -5*v - 9. Let o be z(-3). Let m(a) = 8*a**2 + 1. Let j(b) = o*t(b) - 11*m(b). Give 4*j(n) - 3*r(n). 2*n**2 + 1 Let p(z) = 2*z + 3. Let j(y) = -3 + 5*y + 0 + 7 - 7*y + 5*y. Calculate -5*j(n) + 6*p(n). -3*n - 2 Let g(l) = -3*l**3 + 2*l**2 + 3*l - 9. Let w be g(0). Let y(i) = -3*i + 9. Let x(d) = -d + 4. Give w*x(v) + 4*y(v). -3*v Let o(k) = -k + 9. Let g(i) = -i + 39. Let m(p) = 5. Let r(f) = g(f) - 6*m(f). Calculate -2*o(a) + 3*r(a). -a + 9 Let u(t) = -12*t**2 + 9. Let o(r) be the third derivative of r**5/60 - r**3/6 - 587*r**2. Calculate -18*o(g) - 2*u(g). 6*g**2 Let g(y) = 47*y - 3. Let f(q) = -1. Determine 4*f(p) - g(p). -47*p - 1 Let p(h) = -2*h**2 - 3*h - 9. Let q(g) = -g**2 - g - 6. Give -3*p(c) + 5*q(c). c**2 + 4*c - 3 Let v(g) = -g + 24. Let y(m) = 2. Determine v(u) - 2*y(u). -u + 20 Let x(l) = -2*l - 1. Let o(r) = -7*r + 1. Let j(q) = -o(q) + 3*x(q). Let w(f) = 2*f - 13. Calculate 7*j(y) - 2*w(y). 3*y - 2 Let u(f) = f**2 - f + 1. Let x(q) be the first derivative of 10*q**3/3 - 3*q**2 + 4*q + 202. Determine 6*u(m) - x(m). -4*m**2 + 2 Let z(m) = -5*m + 21. Let r = 224 - 235. Let n(s) = s - 4. Give r*n(x) - 2*z(x). -x + 2 Let a(v) = 6*v + 4. Let t(l) = 0*l - 22 + 14 - 5*l + 4. Determine 2*a(n) + 3*t(n). -3*n - 4 Let c(x) = -9*x - 6. Let a(z) = 10*z + 7. Suppose 3*d = -6, -q - 2*d + 12 = -6*d. Determine q*a(h) + 5*c(h). -5*h - 2 Let g(d) = -142*d - 3. Let v(x) = 425*x + 8. Determine -8*g(m) - 3*v(m). -139*m Let y(a) = -19*a. Let n(z) be the first derivative of 238*z**2 + 900. Calculate -2*n(h) - 51*y(h). 17*h Let s(j) = 1. Let y(u) = u + 6. Let l be y(-9). Let f(c) be the third derivative of c**4/12 - 2*c**3/3 + 18*c**2. Calculate l*s(g) - f(g). -2*g + 1 Let h be -1 + (-2)/(4/(-10)). Suppose -4 = h*m + 8. Let o(v) = v + 3. Suppose 8*d = -d - 58 + 40. Let x(p) = p**2 - 2*p - 4. Give d*x(b) + m*o(b). -2*b**2 + b - 1 Let d(o) = -13*o. Let a be (-1)/((5 + 54/(-10))/(-14)). Let h(j) = -77*j. Give a*d(u) + 6*h(u). -7*u Suppose 8*u - 100 = -12*u. Let k(z) = z**2 - 5*z - z + u*z. Let f(s) = 2*s**3 - 3*s**2 + 3*s. Determine 2*f(y) + 6*k(y). 4*y**3 Let l(b) = 316*b**2 + b + 2. Let n(w) = -w**2 - w - 2. Calculate 3*l(t) + 3*n(t). 945*t**2 Let z(p) = 301*p + 23. Let s(w) = 151*w + 10. Calculate -9*s(q) + 4*z(q). -155*q + 2 Let o(q) = 133*q + 140. Let t(x) = -11*x - 12. Let d(j) = 3*o(j) + 35*t(j). Let l(r) = r. Calculate -d(y) + 10*l(y). -4*y Let g(l) = -l**2 - 1. Let v(r) = -70*r**3 + 7*r**2 + 7. Calculate 28*g(f) + 4*v(f). -280*f**3 Suppose -8*x + 11*x = -2*y - 13, -3*x = -2*y - 7. Let r(d) = -6*d**3 + 4*d**2 - 5*d + 4. Let k(s) = s**3 - s**2 + s - 1. Determine x*r(t) - 5*k(t). t**3 + t**2 + 1 Let n(w) = 5*w**2 - 5*w - 20. Let k(x) = -2*x**2 + 3*x + 10. Determine 7*k(j) + 4*n(j). 6*j**2 + j - 10 Let l(t) = -t**2 + 2. Let g(b) = 1. What is 6*g(p) + l(p)? -p**2 + 8 Suppose -31*m + 40*m = 18. Let n(l) = -3*l**3 + 3*l**2 - 2*l - 5. Let q(c) = -10*c**3 + 10*c**2 - 7*c - 16. Give m*q(p) - 7*n(p). p**3 - p**2 + 3 Let w(h) = -47*h - 2. Let p(i) = 45*i + 1. Determine -4*p(o) - 5*w(o). 55*o + 6 Let p(w) = -2*w - 4. Let r(s) = -2*s - 4. Determine 3*p(g) - 4*r(g). 2*g + 4 Let d(t) = -4*t**2 - 3*t + 9. Let x(i) = 9*i**2 + 7*i - 18. What is 13*d(k) + 6*x(k)? 2*k**2 + 3*k + 9 Let i(d) = 11*d**2 - d + 6. Let w(f) = -11*f**2 - f - 4. Calculate 2*i(v) + 3*w(v). -11*v**2 - 5*v Let g be -3 + -4 + 5 - -7. Let x(u) = -u**3 - 2*u**2 + 2*u - 2. Suppose 0 = -2*l - 4*l + 12. Let f(v) = v**3 + 5*v**2 - 5*v + 4. What is g*x(m) + l*f(m)? -3*m**3 - 2 Let q(o) = -7*o**2 + 3*o + 1. Let u = -33 - -29. Let m(t) = -6*t**2 + 2*t + 1. Let g be 1/(-4) - (-195)/12. Let k = g - 11. Calculate k*m(z) + u*q(z). -2*z**2 - 2*z + 1 Let k(c) be the second derivative of c**3/6 + 252*c + 3. Suppose 12 - 32 = 5*z. Let x(h) = h + 1. Calculate z*k(u) + 2*x(u). -2*u + 2 Suppose 0 = -37*x + 39*x - 4. Let l be (-40)/(-6) + (x/(-3) - -1). Let u(f) = -8*f - 4. Let v(p) = -15*p - 7. Determine l*u(i) - 4*v(i). 4*i Let d(s) = 73*s - 138*s + 70*s - 12 + 16. Let v(y) be the first derivative of 3*y**2 + 5*y - 2. Calculate 7*d(h) - 6*v(h). -h - 2 Let s(x) = 18*x**3. Let t(m) be the third derivative of m**6/120 + 901*m**2 - 2*m. Calculate -s(p) - 4*t(p). -22*p**3 Suppose 5*m + 52 = -8*j + 6*j, -2*j - 4 = m. Let w = 1 + 1. Let x(g) = -22 - 15*g + 7*g + 2*g**w - 14*g. Let c(l) = l**2 - 9*l - 9. Calculate m*c(t) + 5*x(t). -2*t**2 - 2*t - 2 Let w(n) = 8*n**3 - 5*n**2 + 3*n - 244. Let y(f) = 3*f**3 - 2*f**2 + f - 122. What is -2*w(c) + 5*y(c)? -c**3 - c - 122 Let y(j) = -4*j**3 + 11*j**2 - 5*j + 3. Let w(n) be the first derivative of -n**4/4 + 4*n**3/3 - n**2 + n + 346. Determine 11*w(k) - 4*y(k). 5*k**3 - 2*k - 1 Let m(v) = 70*v**3 + 4*v**2 - v. Let h(j) = -70*j**3 - 5*j**2 + j. Determine -4*h(x) - 5*m(x). -70*x**3 + x Let i(g) = g - 3. Let o = 630 + -619. Let w(b) = -3*b + 8. Suppose -2*a - 16 - 12 = -5*p, -4*p + 5*a = -36. What is o*i(f) + p*w(f)? -f - 1 Let l(f) = 2*f**3 + f**2 + f. Let p(d) = -7*d**3 - 22*d**2 - 6*d - 1. Give 3*l(g) + p(g). -g**3 - 19*g**2 - 3*g - 1 Let t(w) be the second derivative of -w**6/240 + w**5/60 - 5*w**4/12 - 9*w. Let z(o) be the third derivative of t(o). Let i(c) = c. Give 4*i(f) + z(f). f + 2 Let o(z) = -z**2 + 6*z - 1. Let j be ((-6)/15*-6)/(-1 + (-3)/(-5)). Let c(y) = -4*y**2 + 5*y**2 + 2 + y**2 - 11*y. Determine j*c(v) - 11*o(v). -v**2 - 1 Let z(v) = 2*v**2 + 6*v + 1. Let j be 8/(-6)*(2 + (-3)/6). Let m = 3 - j. Let i(t) = -t. Give m*i(b) + z(b). 2*b**2 + b + 1 Let b(d) = 19*d**2 - 5*d - 6. Let x(u) = 2*u**2 - 1. Determine b(h) - 4*x(h). 11*h**2 - 5*h - 2 Let f(t) = -3*t**2 + 38*t + 5. Let u(y) = 6*y**2 - 76*y - 11. Calculate 7*f(i) + 3*u(i). -3*i**2 + 38*i + 2 Let c(q) = -3*q + 105. Let j(z) = 4*z - 105. Give 5*c(l) + 4*j(l). l + 105 Let l(m) = m. Let g(x) be the third derivative of 0 + 0*x**3 + 0*x + 19*x**2 + 5/8*x**4. What is g(n) - 10*l(n)? 5*n Let t(v) = v**2 - v - 1. Let p(q) = q + 3. Let z be p(0). Let h be 6/(-9)*(-6)/4. Let b(c) = -h + 4 + 4*c + 2 - 2*c**2 - 2. What is z*t(i) + b(i)? i**2 + i Let q(u) = -u**3. Let l(c) be the first derivative of c**6/30 - 6*c**2 + 4. Let s(v) be the second derivative of l(v). Determine -3*q(n) - s(n). -n**3 Let v(y) = y**3 - y**2 - 17*y + 16. Let x be v(4). Let f(r) = 3*r + 9. Let z(c) = 5*c + 17. Determine x*z(b) + 7*f(b). b - 5 Let v(a) = 35*a**3 + 6*a**2 + 24. Let x(k) = k**3 - k**2 + 8. Determine v(z) - 3*x(z). 32*z**3 + 9*z**2 Let w(s) = 88*s + 3. Let a(g) = -88*g - 2. What is -4*a(o) - 3*w(o)? 88*o - 1 Let n(i) be the first derivative of i**4/2 + 4*i**2 + 9*i - 23. Let k(x) = -3*x**3 - 12*x - 13. What is -5*k(b) -
{ "pile_set_name": "DM Mathematics" }
4158? -3*o**2 - 35675*o What is the i'th term of 9500, 9498, 9496, 9494? -2*i + 9502 What is the k'th term of 967, 964, 955, 940? -3*k**2 + 6*k + 964 What is the y'th term of -231750, -463495, -695238, -926979, -1158718, -1390455? y**2 - 231748*y - 3 What is the u'th term of 41, 27, -15, -85? -14*u**2 + 28*u + 27 What is the x'th term of -2497, -2827, -3381, -4165, -5185, -6447? -x**3 - 106*x**2 - 5*x - 2385 What is the g'th term of -1621, -1433, -1243, -1051, -857? g**2 + 185*g - 1807 What is the x'th term of 866, 975, 1158, 1415, 1746, 2151? 37*x**2 - 2*x + 831 What is the t'th term of -212, -210, -202, -188, -168? 3*t**2 - 7*t - 208 What is the b'th term of -116, 416, 948? 532*b - 648 What is the r'th term of -3057, -3070, -3091, -3120, -3157? -4*r**2 - r - 3052 What is the n'th term of 2755, 6602, 10449, 14296, 18143, 21990? 3847*n - 1092 What is the i'th term of -581, -750, -1055, -1496, -2073? -68*i**2 + 35*i - 548 What is the f'th term of -685, -2751, -6195, -11017, -17217? -689*f**2 + f + 3 What is the s'th term of -1379, -5474, -12261, -21710, -33791, -48474, -65729, -85526? 5*s**3 - 1376*s**2 - 2*s - 6 What is the p'th term of -886363, -1772728, -2659103, -3545494, -4431907? -p**3 + p**2 - 886361*p - 2 What is the c'th term of 242, 233, 204, 143, 38, -123? -2*c**3 + 2*c**2 - c + 243 What is the s'th term of -15635, -15636, -15645, -15668, -15711, -15780, -15881, -16020? -s**3 + 2*s**2 - 15636 What is the k'th term of 452, 1591, 3478, 6107, 9472? -k**3 + 380*k**2 + 6*k + 67 What is the t'th term of -1696, -1782, -1868, -1954? -86*t - 1610 What is the k'th term of 225447, 225448, 225449, 225450? k + 225446 What is the f'th term of -127660, -255318, -382976, -510634, -638292, -765950? -127658*f - 2 What is the w'th term of -5395, -5409, -5445, -5515, -5631, -5805, -6049? -2*w**3 + w**2 - 3*w - 5391 What is the l'th term of 330, 648, 956, 1248, 1518, 1760? -l**3 + l**2 + 322*l + 8 What is the g'th term of 634, 2557, 5760, 10243, 16006? 640*g**2 + 3*g - 9 What is the x'th term of -239, -250, -263, -278, -295? -x**2 - 8*x - 230 What is the z'th term of 120, 192, 332, 552, 864, 1280, 1812, 2472? 2*z**3 + 22*z**2 - 8*z + 104 What is the a'th term of -64261, -128469, -192677, -256885? -64208*a - 53 What is the k'th term of 304, 645, 986? 341*k - 37 What is the t'th term of 1279, 1394, 1523, 1672, 1847, 2054, 2299, 2588? t**3 + t**2 + 105*t + 1172 What is the w'th term of 658, 473, 164, -269, -826, -1507? -62*w**2 + w + 719 What is the r'th term of -151, -243, -333, -421, -507, -591? r**2 - 95*r - 57 What is the z'th term of -314478, -628954, -943430, -1257906? -314476*z - 2 What is the p'th term of 135657, 135655, 135653, 135651, 135649? -2*p + 135659 What is the h'th term of -468, -469, -444, -393, -316, -213, -84? 13*h**2 - 40*h - 441 What is the f'th term of -3316, -3226, -3128, -3022? 4*f**2 + 78*f - 3398 What is the j'th term of 32, 72, 112, 152, 192? 40*j - 8 What is the v'th term of 69, 195, 359, 561? 19*v**2 + 69*v - 19 What is the i'th term of 450, 912, 1374, 1836? 462*i - 12 What is the i'th term of 757, 809, 863, 919, 977, 1037, 1099? i**2 + 49*i + 707 What is the j'th term of -26, -38, -56, -80? -3*j**2 - 3*j - 20 What is the t'th term of -271894, -271896, -271888, -271864, -271818, -271744? t**3 - t**2 - 6*t - 271888 What is the i'th term of -119323, -119322, -119321, -119320? i - 119324 What is the s'th term of 474, 544, 616, 690? s**2 + 67*s + 406 What is the z'th term of 11, -157, -737, -1975, -4117, -7409? -41*z**3 + 40*z**2 - z + 13 What is the a'th term of 16, -6, -36, -74, -120, -174? -4*a**2 - 10*a + 30 What is the l'th term of -46912, -47126, -47482, -47980? -71*l**2 - l - 46840 What is the x'th term of 2493, 2467, 2425, 2367, 2293, 2203? -8*x**2 - 2*x + 2503 What is the c'th term of 1794, 3619, 5480, 7377, 9310, 11279? 18*c**2 + 1771*c + 5 What is the o'th term of 255, 977, 2167, 3831, 5975, 8605, 11727, 15347? o**3 + 228*o**2 + 31*o - 5 What is the l'th term of -177, -235, -331, -465, -637, -847, -1095? -19*l**2 - l - 157 What is the i'th term of -26470, -53115, -79758, -106399, -133038? i**2 - 26648*i + 177 What is the m'th term of 411, 655, 1063, 1635, 2371, 3271, 4335? 82*m**2 - 2*m + 331 What is the t'th term of -7706, -30813, -69324, -123233, -192534? t**3 - 7708*t**2 + 10*t - 9 What is the o'th term of -659, -715, -771, -827, -883? -56*o - 603 What is the o'th term of 332488, 332473, 332432, 332353, 332224, 332033? -2*o**3 - o**2 + 2*o + 332489 What is the g'th term of -963, -3754, -8401, -14904, -23263, -33478, -45549? -928*g**2 - 7*g - 28 What is the l'th term of -50647, -50506, -50365? 141*l - 50788 What is the x'th term of 8725, 17449, 26173, 34897, 43621? 8724*x + 1 What is the s'th term of 98, 822, 2794, 6638, 12978, 22438, 35642? 104*s**3 - 4*s - 2 What is the s'th term of 33, 479, 1199, 2175, 3389? -3*s**3 + 155*s**2 + 2*s - 121 What is the w'th term of 875, 1684, 2485, 3272, 4039, 4780, 5489, 6160? -w**3 + 2*w**2 + 810*w + 64 What is the w'th term of 358, 1551, 3564, 6397, 10050, 14523, 19816? 410*w**2 - 37*w - 15 What is the j'th term of 26, 8, -36, -118, -250, -444? -2*j**3 - j**2 - j + 30 What is the y'th term of -2, 110, 464, 1180, 2378, 4178, 6700? 20*y**3 + y**2 - 31*y + 8 What is the d'th term of 56387, 112758, 169115, 225452, 281763, 338042, 394283, 450480? -d**3 - d**2 + 56381*d + 8 What is the s'th term of 1071, 4269, 9577, 16977, 26451? -3*s**3 + 1073*s**2 + 1 What is the f'th term of 98, 355, 788, 1403, 2206, 3203, 4400, 5803? f**3 + 82*f**2 + 4*f + 11 What is the h'th term of -49267, -197079, -443433, -788329, -1231767, -1773747? -49271*h**2 + h + 3 What is the t'th term of 799306, 1598613, 2397920? 799307*t - 1 What is the f'th term of 8600, 17202, 25806, 34412, 43020, 51630? f**2 + 8599*f What is the n'th term of -76, -238, -410, -598, -808? -n**3 + n**2 - 158*n + 82 What is the q'th term of 1072, 8000, 26650, 62884, 122564? 977*q**3 - q**2 + 92*q + 4 What is the y'th term of -5532, -5530, -5528? 2*y - 5534 What is the r'th term of -22069, -44156, -66243, -88330, -110417? -22087*r + 18 What is the d'th term of -14141, -14157, -14171, -14183, -14193? d**2 - 19*d - 14123 What is the w'th term of -18322, -73285, -164892, -293143, -458038? -18322*w**2 + 3*w - 3 What is the r'th term of 2791, 2805, 2827, 2857, 2895? 4*r**2 + 2*r + 2785 What is the h'th term of 1, -5, 13, 79, 217, 451? 4*h**3 - 12*h**2 + 2*h + 7 What is the v'th term of -414, -654, -1254, -2376, -4182, -6834? -27*v**3 - 18*v**2 + 3*v - 372 What is the w'th term of 5294, 42228, 142484, 337724, 659610, 1139804, 1809968, 2701764? 5277*w**3 - w**2 - 2*w + 20 What is the r'th term of -4253, -8493, -12733, -16973? -4240*r - 13 What is the d'th term of 147076, 147056, 147018, 146956, 146864, 146736? -d**3 - 3*d**2 - 4*d + 147084 What is the v'th term of -2172, -4312, -6442, -8556, -10648, -12712, -14742, -16732? v**3 - v**2 - 2144*v - 28 What is the s'th term of 37, 190, 649, 1576, 3133, 5482, 8785? 27*s**3 - 9*s**2 - 9*s + 28 What is the m'th term of 40951, 163820, 368593, 655264, 1023827, 1474276, 2006605? -m**3 + 40958*m**2 + 2*m - 8 What is the p'th term of -12942, -25899, -38854, -51807? p**2 - 12960*p + 17 What is the h'th term of 654583, 654588, 654593, 654598, 654603? 5*h + 654578 What is the l'th term of 311, 362, 399, 416, 407, 366? -l**3 - l**2 + 61*l + 252 What is the q'th term of -4486, -8972, -13458, -17944, -22430, -26916? -4486*q What is the m'th term of 1504, 6057, 13646, 24271? 1518*m**2 - m - 13 What is the t'th term of 31, 251, 663, 1303, 2207? 6*t**3 + 60*t**2 - 2*t - 33 What is the j'th term of -2802, -5592, -8380, -11166, -13950, -16732, -19512? j**2 - 2793*j - 10 What is the x'th term of -114, -404, -694? -290*x + 176 What is the d'th term of -28046, -112214, -252502, -448904, -701414, -1010026, -1374734, -1795532? d**3 - 28066*d**2 + 23*d - 4 What is the s'th term of -6059, -6043, -6027, -6011? 16*s - 6075 What is the h'th term of -19061, -19067, -19073, -19079, -19085, -19091? -6*h - 19055 What is the t'th term of 766, 1540, 2314, 3094, 3886, 4696? t**3 - 6*t**2 + 785*t - 14 What is the s'th term of 21004, 21011, 21022, 21037, 21056? 2*s**2 + s + 21001 What is the g'th term of -950, -918, -886, -860, -846
{ "pile_set_name": "DM Mathematics" }
e 6) in base 13? 347c9 Convert -17ba64 (base 12) to base 14. -ab0ba What is 1d6ad (base 16) in base 6? 2325501 Convert -10578a (base 11) to base 4. -221023023 5d7313 (base 14) to base 13 884436 What is 10cd1 (base 14) in base 15? c201 What is 883504 (base 10) in base 13? 24c1ab -aa154 (base 12) to base 13 -7b460 What is -2272644 (base 11) in base 5? -2004034042 What is 1010111101000010101 (base 2) in base 11? 225743 -20220021032 (base 4) to base 13 -61251b -1ca5c (base 14) to base 15 -16b26 Convert 1da145 (base 14) to base 7. 12023515 -672477 (base 8) to base 16 -3753f 1862582 (base 13) to base 3 120000010002022 What is -2269441 (base 10) in base 3? -11021022002101 Convert 5a40c (base 14) to base 6. 4415552 What is 2670810 (base 11) in base 6? 242511554 Convert a9367 (base 12) to base 2. 110110100010111111 What is 2035515 (base 7) in base 13? 87378 -662346 (base 7) to base 4 -130112103 Convert 557753 (base 8) to base 5. 22012040 -454554 (base 7) to base 10 -80889 22314403 (base 5) to base 9 331664 Convert 125130312 (base 7) to base 11. 4590857 What is -21111201210 (base 3) in base 15? -2dbcc What is -22b7f6 (base 16) in base 15? -2ee27d What is 3065247 (base 10) in base 7? 35024403 -101120101020 (base 3) to base 8 -626251 Convert -14054630 (base 8) to base 5. -1302344124 Convert -47004 (base 13) to base 14. -35351 Convert 2193427 (base 10) to base 2. 1000010111100000010011 -386d7 (base 15) to base 11 -113615 -275aa98 (base 11) to base 2 -10010001001101100100111 Convert 111121331213 (base 4) to base 10. 5611367 12432453 (base 8) to base 11 161a258 What is -20455412 (base 6) in base 2? -10010010001010100000 -1000200210222 (base 3) to base 12 -223598 -607023 (base 8) to base 11 -127470 Convert 21001200210112 (base 3) to base 4. 32110120001 What is -114105531 (base 7) in base 5? -3302441404 Convert -1a6ac (base 15) to base 8. -247577 -1b06ba (base 12) to base 9 -807537 What is 12232140 (base 8) in base 6? 133513440 -321136 (base 8) to base 16 -1a25e 1322443 (base 5) to base 4 12133333 What is 1220120002021 (base 3) in base 15? 150a54 -31103103010 (base 4) to base 13 -951184 130213130 (base 4) to base 6 2302352 What is -1103113110 (base 4) in base 9? -570350 -2810652 (base 10) to base 11 -164a759 -577384 (base 9) to base 5 -42042334 115584a (base 14) to base 3 120120101212212 20002221202001 (base 3) to base 10 3246778 What is -a46077 (base 11) in base 3? -10011012121110 Convert -11723 (base 9) to base 2. -1111011000110 -115983 (base 11) to base 2 -101100110011100111 -262761 (base 8) to base 5 -10413013 Convert c12da (base 15) to base 4. 2111103022 Convert -42585 (base 13) to base 6. -2321400 11041014 (base 5) to base 7 551001 Convert -5aca1 (base 14) to base 2. -110110001100111101 Convert c3109 (base 15) to base 4. 2112312003 What is -5010441 (base 6) in base 2? -111001010011111001 44222634 (base 7) to base 4 32200300131 What is -4749a (base 12) in base 3? -11212022201 What is 14234 (base 5) in base 7? 3324 -3649ba (base 12) to base 4 -3112222132 Convert 1000111011001101110 (base 2) to base 11. 18a805 Convert 32341 (base 12) to base 5. 4104040 What is -249f7 (base 16) in base 11? -a2780 90003 (base 10) to base 13 31c74 Convert -221313103132 (base 4) to base 5. -10302140210 Convert -13211030 (base 5) to base 15. -291b0 Convert -77b7 (base 16) to base 6. -353515 What is -64d27a (base 15) in base 11? -2790787 -1a4114 (base 11) to base 10 -312921 -74320 (base 12) to base 16 -253c8 Convert -1827b4 (base 15) to base 7. -12653305 Convert -ef86 (base 16) to base 8. -167606 -1506222 (base 7) to base 11 -12a184 What is 375530 (base 9) in base 5? 24232101 Convert 11123423111 (base 5) to base 11. 6a5a221 Convert -3de9ad (base 15) to base 9. -5550531 Convert 240104414 (base 5) to base 13. 2c56cb -100001111101111 (base 2) to base 16 -43ef What is 232050124 (base 6) in base 7? 51353122 Convert 654234 (base 11) to base 14. 1d2c30 What is 1154196 (base 10) in base 6? 40423300 34b504 (base 13) to base 5 310100024 What is 12513154 (base 6) in base 2? 1100101000110111110 Convert 467a67 (base 13) to base 8. 6304734 Convert -14236 (base 11) to base 16. -4f16 Convert 25b30a (base 13) to base 7. 10510165 Convert -248873 (base 9) to base 4. -210311220 -3ad38 (base 14) to base 3 -21101021222 What is 1051b5 (base 13) in base 3? 201102211012 Convert 1411885 (base 9) to base 3. 1110101222212 Convert 1120120001222 (base 3) to base 7. 10056125 What is 2fb10 (base 16) in base 12? 95068 What is -401181 (base 13) in base 5? -340101033 5140001 (base 7) to base 12 257855 333155 (base 7) to base 16 e576 What is 125970 (base 11) in base 2? 110000011000001010 Convert 14204233 (base 5) to base 12. 713ab Convert 3662d9 (base 14) to base 10. 1861015 What is 1263dc (base 14) in base 6? 21313250 What is 361978 (base 11) in base 5? 121323004 Convert e169 (base 16) to base 12. 29489 Convert 23120013021 (base 4) to base 6. 143531053 b78c3 (base 14) to base 9 745353 Convert 198de9 (base 16) to base 13. 468384 Convert -2734309 (base 10) to base 8. -12334345 807078 (base 10) to base 13 22347c 33a423 (base 12) to base 9 1488770 What is 110011110011000011 (base 2) in base 14? 57467 Convert 201200012 (base 3) to base 8. 34006 Convert 50424 (base 9) to base 7. 165436 -10122101200 (base 3) to base 9 -118350 Convert -2020202 (base 6) to base 4. -113123222 Convert 4658 (base 11) to base 9. 8342 234223403 (base 5) to base 12 444647 What is -133d5 (base 16) in base 15? -1853a Convert 202b3 (base 15) to base 11. 6a598 -51133 (base 9) to base 6 -415433 201100001121 (base 3) to base 4 1130322211 What is 123302402 (base 6) in base 2? 1001001010110000100010 What is 1ca27 (base 14) in base 8? 217173 Convert -11220121201022 (base 3) to base 10. -2610341 Convert 101102102112221 (base 3) to base 10. 5539345 Convert -202303341 (base 5) to base 2. -11001000110001001010 -189c3c (base 15) to base 2 -100100100010111000011 Convert -299004 (base 11) to base 7. -3650114 What is 11113320 (base 5) in base 13? 35785 Convert 13313444 (base 5) to base 3. 20212212111 Convert -1c22b1 (base 13) to base 10. -718901 What is -47ec5 (base 15) in base 3? -102122202112 Convert 122132311313 (base 4) to base 9. 14050652 210012010122102 (base 3) to base 6 1041211445 Convert -1010111011011110001001 (base 2) to base 13. -7940b2 What is 168407 (base 10) in base 5? 20342112 What is -33001310 (base 4) in base 9? -103385 1111101102010 (base 3) to base 5 200414120 What is 11122430 (base 5) in base 16? 180ba Convert -13d2b (base 15) to base 7. -353522 What is 3dc73 (base 15) in base 16? 3079e What is -2c816 (base 15) in base 5? -14043241 Convert -10031002031 (base 4) to base 2. -100001101000010001101 What is -4112225 (base 6) in base 10? -196217 What is -165553 (base 7) in base 14? -c163 What is -31a1750 (base 11) in base 7? -65543413 4850393 (base 11) to base 10 8448322 What is 1446719 (base 10) in base 6? 51001435 Convert 7243452 (base 10) to base 7. 115365636 What is -131213002003 (base 4) in base 13? -17ba03b Convert 21010202010102 (base 3) to base 5. 1432400213 Convert 201a39a (base 11) to base 5. 1403242140 What is -1653636 (base 13) in base 14? -d57a46 2263c (base 13) to base 3 10011211211 Convert 47253 (base 11) to base 3. 10110112020 -620048 (base 10) to base 13 -1892c0 -1130244 (base 6) to base 3 -2222010201 What is 1d215 (base 15) in base 16? 172fa What is -821525 (base 9) in base 5? -111033141 What is -236821 (base 9) in base 12? -6a79a Convert -10365031 (base 9) to base 14. -943443 Convert 1718939 (base 12) to base 11. 2764055 Convert 524997 (base 10) to base 2. 10000000001011000101 Convert -1b7b70 (base 13) to base 11. -440023 Convert -34a104a (base 12) to base 10. -10162426 -4684741 (base 9) to base 16 -26b282 Convert -125011 (base 12) to base 6. -10224021 Convert 12e4b5 (base 15) to base 7. 10503662 What is 751463 (base 8) in base 9? 421767 What is efcb9 (base 16) in base 8? 3576271 Convert dc946 (base 15) to base 12. 299610 -1475175 (base 8) to base 9 -716357 -95bd6 (base 15) to base 2 -1110100000000101000 Convert -34b388 (base 12) to base 5. -204131414 Convert -184a26 (base 12) to base 5. -102014402 What is -407e6 (base 15) in base 11? -12a53a Convert -96d203 (base 14) to base 16. -4ded23 Convert -1232100 (base 6) to base 16
{ "pile_set_name": "DM Mathematics" }
+ 0*k + 2*k) + 5*k**2 + k**2 - 4*k**2 - k**2 + 2*k - 2*k + 5*k**2 - 5*k**2 + k**2). -12*k**3 Expand (-920*f + 71*f**3 + 920*f)*(-10 - 7 - 2*f + 0*f + 0*f). -142*f**4 - 1207*f**3 Expand (2 - 2*y - 2 + 3)*(-8*y - 6*y + 3*y + (12 - 5 + 9)*(3*y - 2*y - 2*y)). 54*y**2 - 81*y Expand y + 3*y - 2*y + (-3*y + 2*y + 2*y)*(-4 + 4 - 1) + 4*y + y - 3*y - 4*y - 3*y + 2*y - 2 - 2*y + 2 + (-1 + 1 + 2*y)*(-3 - 2 + 3) - y + 0 + 0. -9*y Expand (-3 + 0 - 3)*(7*l - 16*l + 2*l)*(9 - 18 - 2*l + 26). -84*l**2 + 714*l Expand 31*b**4 - 38*b + 38*b + (-5 + 1 + 3)*(-4*b**4 - b**4 + 3*b**4) + (2*b**2 - 3*b**2 - b**2)*(-5*b**2 + 18 - 18). 43*b**4 Expand -415*x - 98*x + 1812*x - 2*x**4 - x**4 + 3*x**4 - 3*x**4 + (-3 - 2*x**2 + 3)*(2*x**2 - 2*x + 2*x). -7*x**4 + 1299*x Expand (-1 - 3 + 8)*(-3 + 6 + 5)*(1286*w - 11*w**4 - 1286*w). -352*w**4 Expand -27*p**5 - 41*p**3 + 41*p**3 + (0*p**3 + 0*p**3 - p**3)*(-2*p**2 - p**2 - 2*p**2) + (-1 - 2 + 1)*(-1 + 1 - p**5). -20*p**5 Expand (5*z - 3*z + 11304*z**2 - 3080*z**3 - 2*z - 11306*z**2)*(-z + 3*z - 3*z). 3080*z**4 + 2*z**3 Expand z**5 - 3*z**5 + 4*z**5 + (-z - z**5 + z)*(-1 - 1 + 1) - 2*z**5 + 3*z**3 - 3*z**3 - 1543*z**5 + 109628*z**2 - 109628*z**2. -1542*z**5 Expand (2 + i + 5*i - 5*i)*((1 + 1 - 4)*(0 + i + 0) + 31 - 31 - 25*i)*(11*i - 5 + 0 - 9*i). -54*i**3 + 27*i**2 + 270*i Expand -3*j + 4*j - 4*j + (12*j - 9*j - 26 + 12)*(-10 - 5 + 5). -33*j + 140 Expand (476*s**2 - 83*s**2 - 2430 + 2430)*(-7 - 4*s**2 + 7). -1572*s**4 Expand (-5*u**2 - u**2 - 3*u**2)*(-u**2 - 3*u**2 + 5*u**2) + (-22*u - 3*u + 2*u)*(-2*u**3 - 2*u**3 + 3*u**3). 14*u**4 Expand (33 + 21 + 1 - 8 + 18)*(-6*h + 193*h + 77*h). 17160*h Expand ((5 - 2*w - 5)*(-3 - 3 + 2) + w + 5*w + 11*w)*(-2*w - 5*w + 6*w). -25*w**2 Expand (-4*c**2 + 47 - 5*c**2 + 12*c**2)*(c + 4*c**2 - c)*(0 + 3 - 4). -12*c**4 - 188*c**2 Expand (689 - 689 - 38*z)*(-57*z**4 - 37*z**4 + 9*z**4). 3230*z**5 Expand -q**5 + 4*q**5 + 5*q**5 + (118*q**2 + 28*q**2 + q - 22*q**2)*(3*q - 4*q + 2 - 4)*(0*q**2 + 0*q**2 - 2*q**2). 256*q**5 + 498*q**4 + 4*q**3 Expand (-3*g + 5*g + 0*g)*(2 - 5 + 5)*(-24*g**3 - 11 - 2*g**2 + 11). -96*g**4 - 8*g**3 Expand (-2 + 6 + 1)*(-3 + 2 - 20)*(-3*i - 2*i + 6*i)*(1 + 1 - 1). -105*i Expand (-6 + 6 - 4*z)*(0 + 0 - 1) - 1792 + 1792 + 16*z. 20*z Expand (0*v - 2*v + 7*v)*(v - 76 + 116 + 246 - 1). 5*v**2 + 1425*v Expand (0*y + y + y)*(13*y + 11*y - 4*y)*(40 - 15 + 58). 3320*y**2 Expand 4*v**2 - 2*v**2 - v**2 + (v - 10 + 10 + (v - v - v)*(-4 - 11 + 2) + 0*v + 0*v - v)*(2 - 1 - 4)*(-4*v + 2*v + 3*v). -38*v**2 Expand (1 - 1 + 2*b)*(3*b**2 - 6*b**2 + 43*b**2)*((0 - 2 + 0)*(b - 3*b + 3*b) + 4 + 6*b + 8*b - 13*b - b + 4*b - 6*b). -320*b**4 + 320*b**3 Expand (5*k - 17*k + 2*k**2 + 68*k)*(-3*k - 3*k - 11 + 3*k). -6*k**3 - 190*k**2 - 616*k Expand 125*n + 324*n - 202*n + (0 + 0 + 3*n)*(0 + 5 - 4) + 5*n - n + 0*n. 254*n Expand (-1 - 1 + 5)*(-h + 2*h + 0*h + 4*h - 2*h + 0*h + (-5 + 7 + 9)*(78*h - 23*h + 28*h)). 2748*h Expand 14*m**4 - 14*m**4 + 5*m**5 + (1 - 1 + m)*((-15*m**4 - 8*m**4 + 7*m**4)*(-3 + 2 - 2) + m**3 - m**4 - m**3 + 0*m**3 + 0*m**3 - 2*m**4). 50*m**5 Expand (-1721 + 348*n + 1721)*(292 - 9*n - 292). -3132*n**2 Expand -4*o - 4 + 4 + (5 + 2 - 5)*(19*o + 9 - 9) + (0 + 3 - 4)*(o - 2*o + 0*o) + 20*o - 11*o + 4*o. 48*o Expand (-3781*a + 1702*a - 1494*a - 1278*a)*(-a + a**4 + a). -4851*a**5 Expand (260 - 26*v - 260)*(-v**4 + v - v) + (-3*v + 1 - 1)*(3*v + v - 5*v)*(2*v**2 + 12*v**3 - 2*v**2). 62*v**5 Expand (0*n - n - 16*n)*(-7 + 7 + 2*n) + 0*n**2 - n**2 + 4*n**2. -31*n**2 Expand (2 + 2*q**2 - 2)*(0*q**3 - 3*q**3 + 16*q**3) + 269*q**4 - 11*q**3 + 19*q**5 - 269*q**4. 45*q**5 - 11*q**3 Expand (46*y - 24*y + 112*y)*(29 - 11 - 20). -268*y Expand (0 + 2 - 1)*(-6*c + 40*c + 17*c)*(-c**2 + 4001*c - 4001*c - c**3 - 9). -51*c**4 - 51*c**3 - 459*c Expand (-i**3 + 3*i**2 - 3*i**2)*(5873*i - 11714*i + 5855*i + 41). -14*i**4 - 41*i**3 Expand ((2 - 1 + 0)*(6*y**2 + 4*y - 4*y) + 3*y**2 + y**2 - 2*y**2)*(3*y**2 - 3*y**2 - 5*y**2) - 19*y**4 - 107*y + 107*y. -59*y**4 Expand (1 - 2 - 2)*(55 - 12 + 53)*(9*c**2 - 4*c**2 + 3*c**2). -2304*c**2 Expand -23 - 120 + 2*z - 347 - 341 + (-2*z + 5*z - z)*(-2 + 0 + 3). 4*z - 831 Expand (-2*d**4 + d - d)*(402*d + 7894 - 7894) - 1 + 1 - 5*d**5. -809*d**5 Expand (3*p + 1 - 1)*((4 - 4 + 2*p**2)*(0*p - 3*p + p) - p**2 - 3*p**3 + p**2) + (1 - p**2 - 1)*(-6*p**2 + 0*p**2 - 18*p**2). 3*p**4 Expand (-3*a - 2 + 2)*(22 - 5 + 10)*(2 - 1 - 4). 243*a Expand (-30306 - 1915*j**3 + 30306)*(2 + j**2 - 2). -1915*j**5 Expand (-2*w + 5*w - w)*(-2 + 2 + 3*w) - w**2 + w**2 + 2*w**2 + (-14672*w**2 + 7067*w**2 + 6563*w**2)*(0 - 1 + 2). -1034*w**2 Expand (143*c**2 - 143*c**2 - 19*c**3)*((0 - 1 - 1)*(-3 + 3 - 1) + 17 + 49 - 18). -950*c**3 Expand 106*k**5 - 16*k**5 + 36*k**4 - 27*k**4 + (0*k**2 - 2*k**2 + 3*k**2)*(-k**3 - 2*k**3 + 2*k**3). 89*k**5 + 9*k**4 Expand -m**5 - m**5 - 2*m**5 + (-2*m**3 - 3*m**3 + 7*m**3)*(6*m**2 - 3*m**2 + 5*m**2) - m**5 - m**3 + m**3 + 2*m**5 + 2*m**5 - m**5. 14*m**5 Expand (5 + 3 - 4)*(-1862*b - 1856*b + 3715*b - 3). -12*b - 12 Expand (-s + 0*s + 5*s)*(4 + 2 - 3)*(-123 + 20*s**2 + 123)*(-s + s - 4*s). -960*s**4 Expand (-13*w**2 + 3 + 29*w - 8*w - 17*w)*(-5 + 5 + 6)*(2 + 1 - 1)*(2 + 0 + 0). -312*w**2 + 96*w + 72 Expand (-649*z - 382*z + 1956*z)*(-1 - 1 - 8). -9250*z Expand (4 - 4 + 2)*((3*n - n - n)*(2*n - 1 + 1) + 0*n**2 + 0*n**2 + n**2) + 1286*n**2 - 633*n**2 - 523*n**2. 136*n**2 Expand 4*l**2 + 2*l - 2*l + (1 + 1 - 3)*(412*l - 410 + 410)*(0 - 3 + 2)*(-7*l + 2*l + 2*l). -1232*l**2 Expand (-2*o**3 - 2 + 37*o - 75*o + 36*o)*(24*o - 151*o - 72*o - 3 + 3 + 2*o + (1 - 1 + 1)*(4 - 4 - o)). 396*o**4 + 396*o**2 + 396*o Expand (7 + 71 + 18)*(110*n - 4*n + 27*n). 12768*n Expand (-4*m**3 - 25*m + 25*m)*(-438780*m - 1664*m**2 + 438780*m). 6656*m**5 Expand (7 - 2 - 22)*((0 + 1 - 3)*(10*l + 11*l + 4*l) + (-3 - 2*l + 3)*(-3 + 3 + 2)). 918*l Expand (0*l**2 - 4*l**2 + l**2)*(-2*l**2 + 35293*l - 35293*l + 59). 6*l**4 - 177*l**2 Expand (-2*z**2 + 2*z**2 - z**2)*(3*z + 0*z - 2*z) + 642*z**3 - 255*z**3 - 251*z**3. 135*z**3 Expand (-3 - 22*z + 50*z - 2*z**2 - 25*z)*((3 - 4 + 0)*(-3*z - 2*z + 3*z) - 4*z - 15*z + 0*z). 34*z**3 - 51*z**2 + 51*z Expand (-4 + 0 - 5)*(4*m - 5*m + 0*m)*((m - m + m**2)*(m - 2 + 2) - m**2 + m**2 - 3*m**3 - 37*m + 37*m - 4*m**3 - 2*m + 2*m - 3*m**3). -81*m**4 Expand c**2 + c**2 - 4*c**2 + (-3 + 0 + 5)*(1 + 2*c**2 - 1) + 0*c**2 - 2*c**2 + c**2 + 1 + 2*c**2 - 1 + (3368 - 3368 + 65*c)*(4*c + c + 3*c). 523*c**2 Expand (2 - 1 + 0)*(-36 + 77 + 51)*(-5*r + 5*r - 4*r). -368*r Expand (-37 + 14*m + 37)*(-41 - 30 + 10). -854*m Expand -2*y**5 - y + y + (-y**2 + y**2 - y**2)*(-290*y**2 + 290*y**2 - 21*y**3)*(1 - 1 + 1) - 4*y**2 - 20*y**5 + 4*y**2. -y**5 Expand (-2*t**2 + 3*t**2 + 0*t**2)*(0 + 0 - 3*t)*(569 + 356*t - 569). -1068*t**4 Expand (0*z + 5*z - 3*z)*(z**3 + 3 - 3) - 117157*z**4 + 4*z**2 + 117195*z**4 + z**2 + 5*z**4 - z**4 + 3*z**4. 47*z**4 + 5*z**2 Expand (q - q + q)*((0*q + 0*q - q)*(1 - 5 + 0) + (-2 + 1 + 2)*(-317 + 101 + 2*q + 138)). 6*q**2 - 78*q Expand (-4161*w - 1 + 652*w + 1905*w)*(-4*w**2 + 3*w**2 + 2*w**2). -1604*w**3 - w**2 Expand (451 + 702 - 1683)*((-3*b + b + b)*(b - b + 2*b) + b**2 - b**2 - 2*b**2 - b**2 + 4 - 4 - 2*b**2 - 4*b**2 + 2*b**2)*(0*b**2 + 4*b**2 - 2*b**2). 9540*b**4 Expand ((-5 + 2 + 5)*(-3 + 0 + 6) - 2 + 2 - 2)*(-5 + p**2 - 6*p**2 + 0*p**2). -20*p**2 - 20 Expand (-1 - 3 + 0)*((0*n**2 + 2*n**2 - n**2)*(-14 - 12 - 19) + 19*n**2 - 18*n**2 + 9*n**2). 140*n**2 Expand (4 + 2 - 1)*(-4 + 1 + 2)*(-2*x + 2*x - 2*x**5) - 20*x**3 + 29*x**5 + 27*x**5 - 48*x**5. 18*x**5 - 20*x**3 Expand (2 - 1 - 2 + (1 - 4 + 1)*(-1 + 5 - 3) + 1 + 0 - 4)*(4*r**2 - 5*r**2 + 3*r**2)*(0*r + 3*r - 4*r) - 65*r + 145*r**3 + 65*r. 157*r**3 Expand (33*t - 114*t - 138*t + (3 + 0 + 0)*(-3*t + 3*t - t))*(-2*t + 2*t + 3*t). -666*t**2 Expand (4*w**5 + 1 - 1)*(4 - 2 + 0) + 25175 - 25175 + 810*w**5. 818*w**5 Expand (3 + b - 3)*(-6*b**2 + 3*b**2 + 2*b**2) - 2*b**2 - 2*b**3 + 2*b**2 + 489*b**2 + 2 - 489*b**2 - 441*b**3. -444*b**3 + 2 Expand (6 - 6 + 5 + 1 + 1 - 1 + (1 + 1 - 1)*(0 + 3 - 5) + 0 + 2 - 1)*(-c**4 + 4*c**4 - 5*c**4) - 7*c**4 + 11*c**4 + 3*c**4. -3*c**4 Expand (24*q - 3*q**2 + q**2 - 28*q)*(0 + 9 - 2)*(-4*q + 0*q - 3*q)*(0 - 2 + 0). -196*q**3 - 392*q**2 Expand 3 - 6*n - 3 + ((3*n -
{ "pile_set_name": "DM Mathematics" }
e of 49 and 17514. 122598 What is the least common multiple of 32768 and 46? 753664 Calculate the common denominator of 19/128184 and 39/213640. 640920 Calculate the smallest common multiple of 89316 and 56236. 1518372 Calculate the smallest common multiple of 9 and 8366. 75294 Calculate the common denominator of 105/26752 and 5/1584. 240768 What is the common denominator of 113/8092 and -137/1008? 291312 Calculate the lowest common multiple of 51 and 1845. 31365 Calculate the lowest common multiple of 143176 and 100874. 4438456 What is the smallest common multiple of 10340 and 638? 299860 What is the lowest common multiple of 970 and 37345? 74690 What is the common denominator of 26/43965 and 71/9770? 87930 Calculate the common denominator of -80/561 and 107/1266. 236742 Calculate the least common multiple of 8392 and 116. 243368 Calculate the smallest common multiple of 242169 and 801. 726507 Calculate the smallest common multiple of 252126 and 117. 3277638 Calculate the common denominator of -41/8 and 77/411170. 1644680 Calculate the least common multiple of 21648 and 60. 108240 What is the least common multiple of 350 and 189750? 1328250 Calculate the common denominator of -83/18 and -115/1687028. 15183252 Calculate the least common multiple of 25998 and 415968. 415968 What is the common denominator of -19/142400 and 57/1600? 142400 Calculate the lowest common multiple of 90 and 65424. 981360 Calculate the smallest common multiple of 1692 and 2538. 5076 What is the smallest common multiple of 46956 and 56? 93912 Find the common denominator of 15/54743 and 53/67376. 875888 Calculate the common denominator of -33/91390 and 11/4. 182780 Calculate the smallest common multiple of 59400 and 720. 118800 What is the smallest common multiple of 110880 and 88? 110880 Calculate the lowest common multiple of 1414 and 371. 74942 Find the common denominator of 3/14 and 151/125208. 876456 Calculate the smallest common multiple of 640 and 45760. 91520 Calculate the lowest common multiple of 69576 and 70245. 7305480 What is the smallest common multiple of 1113 and 438? 162498 Find the common denominator of -1/87 and 37/117165. 3397785 Calculate the common denominator of -5/248 and 65/964. 59768 Find the common denominator of 9 and 29/2407300. 2407300 Calculate the common denominator of -47/2415 and -149/4200. 96600 What is the common denominator of 7/2830 and -67/61128? 305640 What is the common denominator of -7/670 and 28/30855? 4134570 What is the common denominator of -59/33 and 29/63627? 699897 What is the common denominator of 49/1462 and 107/1290? 21930 Find the common denominator of -59/642765 and 64/3. 642765 What is the lowest common multiple of 10844 and 121995? 487980 Calculate the lowest common multiple of 216 and 1698. 61128 What is the least common multiple of 96 and 522132? 4177056 Calculate the common denominator of 83/72 and 109/42000. 126000 Calculate the lowest common multiple of 3 and 223014. 223014 Calculate the lowest common multiple of 15776 and 1088. 31552 What is the smallest common multiple of 486 and 324? 972 Calculate the common denominator of -109/2406 and -47/4010. 12030 Calculate the common denominator of -103/10962 and -37/945. 54810 Calculate the least common multiple of 87 and 4539. 131631 What is the lowest common multiple of 2851161 and 18? 17106966 Calculate the common denominator of 97/120 and 115/18424. 276360 Calculate the common denominator of -69/10 and 19/2799. 27990 What is the common denominator of -41/11632 and 57/14540? 58160 What is the lowest common multiple of 19292 and 1092? 57876 What is the common denominator of -1/35793 and 37? 35793 Calculate the smallest common multiple of 5725 and 1395. 1597275 Calculate the common denominator of -89/561 and 56/475. 266475 Calculate the least common multiple of 336 and 112. 336 Find the common denominator of -97/81874 and 51/204685. 409370 Calculate the smallest common multiple of 1420 and 3124. 15620 Find the common denominator of -131/15480 and 47/483750. 1935000 What is the common denominator of -137/34320 and 17/18? 102960 Calculate the common denominator of -43/32 and -107/3837060. 30696480 Calculate the common denominator of -71/93 and 35/1212. 37572 What is the lowest common multiple of 4 and 9070? 18140 Calculate the smallest common multiple of 96 and 4906. 235488 What is the common denominator of -52/7725 and -99/267800? 803400 What is the lowest common multiple of 448 and 1792? 1792 Calculate the common denominator of -107/6 and -50/1463409. 2926818 Find the common denominator of 83/174 and 73/192. 5568 Calculate the lowest common multiple of 99 and 39627. 435897 What is the smallest common multiple of 297889 and 4? 1191556 What is the common denominator of 25/48512 and -71/3411? 436608 What is the common denominator of -119/9864 and 85/384? 157824 What is the common denominator of -43/4468 and -69/16? 17872 What is the common denominator of -21/18160 and 23/45400? 90800 What is the smallest common multiple of 138 and 7914? 182022 Calculate the common denominator of 16/1689 and 29/3215293. 9645879 What is the smallest common multiple of 23108 and 1431? 623916 What is the common denominator of 71/131400 and -139/43800? 131400 What is the lowest common multiple of 1225 and 50? 2450 Calculate the common denominator of -81/316844 and 5/836. 316844 Find the common denominator of 81/6500 and -27/520. 13000 Calculate the least common multiple of 44 and 2842. 62524 Calculate the common denominator of 49/44 and 57/70780. 778580 Calculate the smallest common multiple of 1074 and 62471. 374826 Calculate the smallest common multiple of 566912 and 3296. 566912 Find the common denominator of -47/1863100 and 7/40. 3726200 What is the smallest common multiple of 1509825 and 2946? 3019650 Calculate the lowest common multiple of 114368 and 5184. 9263808 What is the lowest common multiple of 9786 and 4194? 29358 What is the least common multiple of 1001 and 77? 1001 What is the least common multiple of 13876 and 24? 83256 Calculate the common denominator of -53/2576 and 37/8. 2576 Calculate the common denominator of 103/940 and -19/92496. 462480 What is the common denominator of 31/536964 and 121/348? 536964 What is the common denominator of 5/432 and 169/840? 15120 What is the lowest common multiple of 588 and 7305? 1431780 Calculate the lowest common multiple of 9010 and 170. 9010 Calculate the common denominator of 97/12 and 77/613038. 1226076 Find the common denominator of -83/98 and 15/68. 3332 What is the common denominator of -87/6578 and 97/63778? 1466894 What is the common denominator of 54/34295 and 18/95? 34295 What is the lowest common multiple of 18 and 101643? 609858 What is the common denominator of 83/22650 and 59/300? 45300 What is the least common multiple of 134760 and 4? 134760 What is the smallest common multiple of 73582 and 2? 73582 Calculate the smallest common multiple of 8028 and 6. 8028 Find the common denominator of 58/1071 and -5/169932. 509796 Calculate the smallest common multiple of 3182 and 3096. 114552 What is the least common multiple of 124 and 90644? 90644 What is the common denominator of -155/40926 and 5/18? 122778 Find the common denominator of -79/6006 and 37/182. 6006 What is the least common multiple of 1045 and 77770? 1477630 What is the smallest common multiple of 8600 and 19350? 77400 Calculate the common denominator of 29/1345 and -57/2015. 542035 What is the common denominator of 4/5945 and -20/9? 53505 What is the least common multiple of 2032 and 1648? 209296 Calculate the least common multiple of 222 and 10360. 31080 What is the lowest common multiple of 3490 and 210? 73290 Calculate the smallest common multiple of 8 and 619718. 2478872 What is the lowest common multiple of 5 and 126969? 634845 Calculate the common denominator of -12/72829 and 31/10. 728290 Calculate the smallest common multiple of 7 and 217883. 1525181 Calculate the common denominator of 83/1012284 and 39/32. 8098272 What is the lowest common multiple of 49 and 1698? 83202 Calculate the least common multiple of 54464 and 265216. 6099968 Find the common denominator of -85/22 and 27/1003900. 11042900 What is the least common multiple of 725142 and 36? 43
{ "pile_set_name": "DM Mathematics" }
decimal places? 11 What is 7555812 rounded to the nearest one million? 8000000 What is -460945 rounded to the nearest one hundred thousand? -500000 What is -1652.88 rounded to the nearest 10? -1650 Round 0.00000073366 to seven decimal places. 0.0000007 Round -1191.494 to the nearest 10. -1190 What is -0.0000019553 rounded to seven dps? -0.000002 What is -0.000159496 rounded to 5 decimal places? -0.00016 What is 0.035301623 rounded to 4 dps? 0.0353 What is 0.007204988 rounded to 4 dps? 0.0072 Round 311.496 to 0 decimal places. 311 Round -159.83788 to 2 dps. -159.84 Round 2.3633538 to 2 dps. 2.36 Round -810103 to the nearest 1000000. -1000000 What is -2367360 rounded to the nearest 100000? -2400000 What is 48994.37 rounded to the nearest one thousand? 49000 What is 24.6124 rounded to zero decimal places? 25 Round -0.000000469914 to seven dps. -0.0000005 What is 0.73120803 rounded to two dps? 0.73 What is 212984.16 rounded to the nearest one thousand? 213000 What is 3.90305 rounded to two dps? 3.9 Round -0.000000805721 to seven dps. -0.0000008 What is -1466280 rounded to the nearest 100000? -1500000 What is -158115 rounded to the nearest ten thousand? -160000 What is -80.097 rounded to 2 decimal places? -80.1 What is 1.5239479 rounded to 2 decimal places? 1.52 Round -27384.241 to the nearest one hundred. -27400 What is -358507.4 rounded to the nearest 10000? -360000 Round 0.000162816 to 6 decimal places. 0.000163 Round 0.000005613061 to 7 decimal places. 0.0000056 What is 411381.39 rounded to the nearest 100000? 400000 What is 18995.3 rounded to the nearest 10? 19000 Round 594056.4 to the nearest 100000. 600000 Round -0.000006770604 to 7 decimal places. -0.0000068 What is -34128.021 rounded to the nearest one thousand? -34000 What is 16407.642 rounded to the nearest integer? 16408 What is 0.359623 rounded to 2 decimal places? 0.36 Round -0.0027101297 to four dps. -0.0027 What is -5.753273 rounded to three dps? -5.753 Round 1.48369 to 1 decimal place. 1.5 What is 0.021620579 rounded to four dps? 0.0216 What is -330.06575 rounded to one dp? -330.1 Round 0.000003858042 to seven dps. 0.0000039 What is 3554135000 rounded to the nearest one million? 3554000000 What is -8858813 rounded to the nearest 1000000? -9000000 Round -0.000069135 to five dps. -0.00007 What is 5735031 rounded to the nearest 100000? 5700000 What is -57.155 rounded to the nearest ten? -60 What is -2.13679 rounded to 1 decimal place? -2.1 Round 14.656748 to zero decimal places. 15 What is 165804 rounded to the nearest one hundred thousand? 200000 Round -0.302251 to zero decimal places. 0 Round 3.803478 to one decimal place. 3.8 Round -2.38927 to 1 dp. -2.4 What is 120359.549 rounded to the nearest ten? 120360 Round 0.0000051213 to six decimal places. 0.000005 Round -0.00006186816 to 7 decimal places. -0.0000619 Round 0.06341128 to four decimal places. 0.0634 Round 3197.27 to the nearest 10. 3200 What is 566590 rounded to the nearest one thousand? 567000 Round -0.0009165437 to 5 dps. -0.00092 What is -3065883 rounded to the nearest 1000? -3066000 What is -0.001623791 rounded to three dps? -0.002 Round -3.090355 to 3 decimal places. -3.09 What is -0.000094516 rounded to six decimal places? -0.000095 Round 13529.195 to the nearest ten. 13530 Round 7101366000 to the nearest 1000000. 7101000000 What is 1803130 rounded to the nearest one million? 2000000 What is -13.15621 rounded to 1 decimal place? -13.2 Round -0.1492279 to three dps. -0.149 Round -0.4309101 to 4 decimal places. -0.4309 Round -8542 to the nearest ten. -8540 What is -2303791 rounded to the nearest 10000? -2300000 Round -370.799 to the nearest 10. -370 Round -0.00508457 to three decimal places. -0.005 What is 2.079747 rounded to 3 dps? 2.08 Round 1476.37 to the nearest ten. 1480 Round 0.002934303 to five decimal places. 0.00293 What is -0.048840208 rounded to 5 dps? -0.04884 Round -0.0000055518335 to 6 dps. -0.000006 Round 0.16621828 to 4 dps. 0.1662 Round -9911050 to the nearest ten thousand. -9910000 What is -15667.08 rounded to the nearest ten? -15670 Round -0.048626 to two decimal places. -0.05 What is 0.0067074 rounded to three dps? 0.007 Round 93.743 to the nearest integer. 94 What is -21.05822 rounded to 2 dps? -21.06 What is -0.006880212 rounded to three dps? -0.007 Round -9912820 to the nearest one hundred thousand. -9900000 Round 2089.1 to the nearest 10. 2090 What is 259319550 rounded to the nearest 10000? 259320000 Round 0.00009144338 to six dps. 0.000091 Round 131.325 to the nearest integer. 131 What is 0.02676218 rounded to 5 decimal places? 0.02676 Round 0.0183864 to five dps. 0.01839 What is -0.02819 rounded to three decimal places? -0.028 Round -0.05148063 to two dps. -0.05 Round -86571.1 to the nearest ten thousand. -90000 What is -150.57723 rounded to the nearest ten? -150 Round -314609.5 to the nearest one hundred thousand. -300000 What is 0.1514134 rounded to two decimal places? 0.15 Round -99.0722 to the nearest ten. -100 What is 0.8918 rounded to 1 dp? 0.9 What is -65.1466 rounded to the nearest integer? -65 Round -167.7629 to zero decimal places. -168 Round 288.0145 to the nearest one hundred. 300 What is 1673768.5 rounded to the nearest 100000? 1700000 Round 157435680 to the nearest one hundred thousand. 157400000 What is -0.20467877 rounded to two dps? -0.2 Round -0.00002295527 to 6 dps. -0.000023 Round -1.019199 to 2 decimal places. -1.02 Round 0.0307723 to three dps. 0.031 Round 76.9858 to 1 decimal place. 77 What is 1.791475 rounded to 2 decimal places? 1.79 What is 95241000 rounded to the nearest 1000000? 95000000 Round 508.8582 to zero decimal places. 509 What is 0.51106913 rounded to three decimal places? 0.511 What is 1951301 rounded to the nearest ten thousand? 1950000 Round -0.009531131 to five dps. -0.00953 What is -7727.01 rounded to the nearest 10? -7730 What is 438.7701 rounded to the nearest 10? 440 Round 1.57039 to three dps. 1.57 Round -34.5466 to one dp. -34.5 What is -2.573808 rounded to the nearest integer? -3 What is 212.613 rounded to the nearest ten? 210 Round 0.0000394818 to seven dps. 0.0000395 What is -692.831 rounded to 1 decimal place? -692.8 Round -1.34053077 to 3 dps. -1.341 Round -0.0000018213709 to seven decimal places. -0.0000018 What is -0.00000859633 rounded to seven decimal places? -0.0000086 Round 58890985 to the nearest one hundred thousand. 58900000 Round 4054.039 to the nearest 10. 4050 What is 201381 rounded to the nearest one thousand? 201000 Round -7030232 to the nearest 10000. -7030000 What is 0.00008699 rounded to five decimal places? 0.00009 Round -5766500 to the nearest one million. -6000000 What is 0.0000042078 rounded to six dps? 0.000004 What is 52167.75 rounded to the nearest ten? 52170 Round -0.820072 to 3 dps. -0.82 Round 0.01159686 to 3 decimal places. 0.012 Round -0.0001010332 to seven dps. -0.000101 What is -0.000817805 rounded to 4 dps? -0.0008 Round -60745.7 to the nearest ten thousand. -60000 Round -15789008 to the nearest ten thousand. -15790000 Round 0.000033188 to five decimal places. 0.00003 Round -3225727 to the nearest 100000. -3200000 Round -145503500 to the nearest one million. -146000000 What is -0.001458068 rounded to four decimal places? -0.0015 What is 3389.388 rounded to the nearest 100? 3400 Round -63630300 to the nearest one hundred thousand. -63600000 Round -10.144994 to 2 decimal places. -10.14 Round 1.4322 to the nearest integer. 1 What is -1105.1288 rounded to the nearest ten? -1110 What is -59.953934 rounded to zero decimal places? -60 Round -1488713 to the nearest one thousand. -1489000 Round -141.801 to the nearest integer. -142 Round -16706656000 to the nearest 1000000. -16707000000 Round -7.3868 to 0 dps. -7 What is -0.000245625 rounded to 6 dps? -0.000246 What is -46946.38 rounded to the nearest one hundred? -46900 Round 0.00003102296 to 6 decimal places. 0.000031 Round -17954.9 to the nearest one thousand. -18000 Round -3162.98 to the nearest one hundred. -3200 What is -40.543102 rounded to 2 decimal places? -40.54 Round -6.35953 to 2 dps. -6.36 Round 115.29433 to the nearest integer. 115 What is -8677 rounded to the nearest ten thousand? -10000 Round 0.00036470316 to 6 dps. 0.000365 What is 0.0000001705672 rou
{ "pile_set_name": "DM Mathematics" }
alculate the remainder when d is divided by h. 16 Let h(s) = 78*s**2 - 3*s + 2. Calculate the remainder when h(1) is divided by 27. 23 Suppose 5*a - 10 = 0, 2*a + 2*a = k - 3. Calculate the remainder when 42 is divided by k. 9 Suppose -4*t - t + 65 = 0. Calculate the remainder when 25 is divided by t. 12 Let q = -17 + 11. Let u = q - -3. Calculate the remainder when 40 is divided by (-41)/u - 4/(-12). 12 Let c be 0 - 2 - (3 + -15). Calculate the remainder when 10 is divided by (-18)/c*40/(-12). 4 Let s be (-4)/14 + (-48)/(-21). Suppose s*z + 5*p = 45, 0*z + 2*p = -3*z + 51. What is the remainder when z is divided by 9? 6 Let l(n) = 4*n**2 - 3*n + 2. Calculate the remainder when l(4) is divided by 7. 5 Let l(h) = h**2 + h + 1. Let i be (-3 + 0/(-2))*1. Calculate the remainder when 13 is divided by l(i). 6 Suppose 0 = -3*c + 39 - 12. Calculate the remainder when (-101)/(-4) - (-1)/(-4) is divided by c. 7 Let p = -7 - -2. Let w(t) = -t - 9. Let b be w(p). Calculate the remainder when -122*-2*(-1)/b is divided by 21. 19 What is the remainder when 31 + 1 + -2 + 1 is divided by 11? 9 Suppose -66 = -4*j - 3*q, -5*j = -2*q - 38 - 33. What is the remainder when j is divided by 4? 3 Let u be (-8 - -3) + 1*2. Suppose -5*w = -c + 9, -5*c + 7*w + 66 = 3*w. What is the remainder when u*(106/(-3))/2 is divided by c? 11 Let c = 117 - 81. Suppose -48 = -7*t + 267. Suppose -4*l + t + 7 = 0. What is the remainder when c is divided by l? 10 Suppose 3*g = 2*t - 9 - 10, g = -4*t + 17. Suppose -25 = -3*h - j, -6*j + 47 = t*h - 7*j. What is the remainder when 17 is divided by h? 8 Suppose 0 = -5*l + 5*v + 145, -16 - 9 = 5*v. Calculate the remainder when 68 is divided by l. 20 Suppose -2*l + 41 = -3*r, l + 3*r + 3 = 1. What is the remainder when 36 is divided by l? 10 Suppose -65 = -5*q - 4*u - 0*u, -34 = -q - 5*u. What is the remainder when 25 is divided by q? 7 Suppose 0 = -5*q + b + 11, 2*q + b = 3*q + 1. Let t = 26 + -16. What is the remainder when t is divided by q? 1 Let g = -66 + 119. Suppose -4*k = 4*m - 96, -3*k = -5*k - 3*m + g. What is the remainder when k is divided by 12? 7 Suppose -5*x - 5*r + 1 - 16 = 0, -5*x - 2*r - 3 = 0. Calculate the remainder when 3 is divided by x. 0 Suppose 11 = -4*o - 5*s, 0*o - 1 = 2*o + s. Suppose 6*g - g - 24 = -3*u, 0 = 3*u + 2*g - 15. What is the remainder when u is divided by o? 0 Let y = 1 - 0. Let j(d) be the first derivative of d**4/4 - d**3 - 3*d**2/2 - 2*d - 2. What is the remainder when j(4) is divided by y? 0 Suppose 2*m = -10, -20*z + 24*z = -3*m + 101. Let p = 3 + 2. Calculate the remainder when z is divided by (-2)/p - 82/(-5). 13 Let o = -14 - -32. Calculate the remainder when 51 is divided by o. 15 Let r = 147 - 86. What is the remainder when r is divided by 13? 9 What is the remainder when 6 is divided by (-2)/3*(-9)/2? 0 Let v be 3*1*(1 + 0). Let a(u) = -u**2 + 5*u. Let m be a(4). Suppose 0 = v*z + f - 13, -2*z = -3*z - m*f + 8. What is the remainder when 11 is divided by z? 3 Let k(h) = 8*h - 2. What is the remainder when 25 is divided by k(2)? 11 Let j(f) = -7*f + 35. What is the remainder when 52 is divided by j(3)? 10 Suppose 16 + 14 = 2*k. Calculate the remainder when k is divided by 2. 1 Let t be -1 + (0 - 1) + 102. Suppose 2*y = 0, -5*o + t = -y - y. Let v = -5 - -12. What is the remainder when o is divided by v? 6 Suppose 5*h - 2 = 78. Suppose 59 = 5*c - h. What is the remainder when -11*(6*-2)/3 is divided by c? 14 Let z(a) = 5*a - 8. Let o(f) = -f. Let v(i) = -6*o(i) - z(i). Let l be v(-6). Suppose 3*y = l*y + 5. Calculate the remainder when 14 is divided by y. 4 What is the remainder when 21 is divided by 0*(-5)/15 - -12? 9 Let t = 7 + -4. Suppose -4*y + 2*v = 0, -8 = -3*y - 4*v + t. Suppose -5*k + 0 + 5 = 0. Calculate the remainder when y is divided by k. 0 Calculate the remainder when (188/(-6))/(7 + (-92)/12) is divided by 16. 15 Suppose -3*h = 3*s - 156, -h + 6*s - 8*s = -50. Calculate the remainder when h is divided by 21. 12 Suppose -210 = -3*r - 0*r. Let i = 1106 - 1088. Calculate the remainder when r is divided by i. 16 Let c(n) be the second derivative of -n**4/12 + 2*n. Let v be c(-3). Let f = -4 - v. Calculate the remainder when 9 is divided by f. 4 Let h = 113 - 95. Calculate the remainder when 125 is divided by h. 17 Let f(d) = d + 9. Let w(r) = 8*r. Let s be w(1). Calculate the remainder when 33 is divided by f(s). 16 Suppose 5*y + 45 + 10 = 2*d, 3*y + 90 = 5*d. Calculate the remainder when 45 is divided by ((-16)/(-10))/(2/d). 9 Let b(m) = m**2 - 5*m + 13. Suppose -4*n = -7*f + 4*f + 2, 5*n = -f + 26. Calculate the remainder when 36 is divided by b(f). 17 Let s(v) = v**3 + 5*v**2 - 1. Let g be s(-6). Let o = -32 - g. Suppose 4*k + 37 = 3*j, 20 = 4*k - 0*k. Calculate the remainder when j is divided by o. 4 Let t(l) = -13*l - 1. Suppose 2*d = -3*d - 5. Let x be t(d). Suppose -3*k - x = -36. What is the remainder when k is divided by 5? 3 Let y(c) = c**2 - 9*c + 4. What is the remainder when 10 is divided by y(9)? 2 Let z = 11 + -7. Suppose -5 = -4*h - z*m + 7, 4*m - 22 = h. Calculate the remainder when (h/(-4))/(5/10) is divided by 1. 0 Suppose 0 = -m - h + 5, -2*h = 4*m - 0*m - 16. Calculate the remainder when (3/m)/((-2)/(-46)) is divided by 12. 11 Suppose -45 = 3*l + h, 0*l + 5*h = -3*l - 57. Calculate the remainder when 11 is divided by (-4)/l + (-38)/(-14). 2 Let y(x) = x**3 + 10*x**2 + 6*x - 8. Let k = 34 - 29. What is the remainder when y(-9) is divided by k? 4 Let b(o) = o**3 + 11*o**2 - 11*o + 16. Calculate the remainder when 7 is divided by b(-12). 3 Let a(q) = q**2 + q - 4. Let u be a(3). Suppose 3*i = u*i. Suppose -4*o + 2*m + 30 = i, 4*m - 20 = -0*m. What is the remainder when o is divided by 6? 4 Suppose l - 5*l + 4*b = -40, -5*l - 4*b = -14. Calculate the remainder when (-2)/l - 507/(-9) is divided by (-1)/(-1)*(-38)/(-2). 18 Suppose 12 = 5*t + f - 24, 0 = t - 4*f - 3. Suppose -2*g = -5 - t. Calculate the remainder when g is divided by (4 + 2)/(6/4). 2 Let d(a) = -5*a**3 - 1. Let y(n) = n + 3. Let z be y(-4). What is the remainder when 6 is divided by d(z)? 2 Suppose 3*f + 14 - 38 = 0. Suppose -3*h - 2*h + 14 = 2*p, 0 = 2*p + 4*h - 12. Calculate the remainder when f is divided by p. 0 Let q(g) = g**3 + 3*g**2 - g + 2. Let f be q(-2). Calculate the remainder when 4 is divided by (-11)/(-4) + 2/f. 1 Let r = -2 - -5. Suppose r = 5*y + 8. Calculate the remainder when y + (4 - -3) + 3 is divided by 3. 0 Let a(q) = -2*q + 3*q + 0 + 4 + 59*q**2 - 3. Calculate the remainder when a(-1) is divided by 20. 19 Let f = -33 + 14. Let o = -15 - f. Calculate the remainder when 4 is divided by o. 0 Let j(p) = -3*p. Let i be j(-1). Suppose 8 + 19 = i*f. What is the remainder when 17 is divided by f? 8 Let a(q) = q**3 + 5*q**2 + 3*q. Suppose 5*p = 2 + 13. Suppose -f = -4*r + 11, p*f - 7*f = 5*r + 2. Calculate the remainder when a(-4) is divided by r. 0 Suppose -y + 54 = 5*y. Calculate the remainder when 9 is divided by y. 0 Let v(t) = -t**3 - 4*t**2 + t - 7. Let k be (4 + 13/(-2))*2. What is the remainder when 37 is divided by v(k)? 11 Suppose 57 = 5*o - 2*w, 4*o = -3*w + 27 + 37. Calculate the remainder when 29 is divided by o. 3 Let d(v) = 19*v**2 - 3*v + 3. Let o be d(2). Suppose 2*c + 3*x - 20 = 0, x = 5*c - 3*x - o. Calculate the remainder when c is divided by 8. 5 Let u = 2 + 5. Let t = -29 + 31. What is the remainder when u is divided by t? 1 Calculate the remainder when 210 is divided by (-1)/(-4*4/1136). 68 Let c = -15 + 26. Calculate the remainder when c is divided by 6. 5 Suppose -5*w - l + 10 = 0, -l + 4 = 2*w + 3*l. What is the remainder when 6 is divided by w/(-7) + (-60)/(-14)? 2 Let p(d) = d**3 - 5*d**2 + 2*d - 5. Calculate the remainder when 13 is divided by p(5). 3 Let n = 10 + -8. Let d(v) = 16*v - 3. Let s be d(n). Let j = s + -16. What is the remainder when 38 is divided by j? 12 Suppose -4*y = 2*m + 4 - 6, 7 = m - 4*y. Suppose 5*r - m*r = 16. Let c(j) = j**2 + 2*j - 5. What is the remainder when r is divided by c(-4)? 2 Let q(u) = 7 + 2*u - 2*u + u. What is the remainder when (-4)/18 + (-728)/(-36) is divided by q(0)? 6 Suppose -88 = -4*p - 0. What is the remainder when 85 is divided by p? 19 Suppose 0 = -3*x - 4*t + 8, 2*t - 6 = -2. Suppose -5*v + 6 + 4 = x. Supp
{ "pile_set_name": "DM Mathematics" }
. o**3 - 3*o**2 + 2 Let c(x) = 13*x + 4. Let d(a) = -12*a - 8*a - 6*a + 27*a - 5 - 13*a. Determine 4*c(b) + 3*d(b). 16*b + 1 Let j(l) be the second derivative of -l**4/12 + 2*l + 690. Let x(o) = -6*o**2. Give 45*j(a) - 6*x(a). -9*a**2 Suppose 0*d - 4*j = d + 14, -3*d = 2*j + 2. Let w(o) = 0 - 2 - 416*o + 1 - o**d + 417*o. Let r(t) = 4*t - 4. Determine r(n) - 3*w(n). 3*n**2 + n - 1 Let u(h) be the first derivative of h**2/2 - h - 167. Let d(n) = -2*n**2 + 3 - 2*n**2 - 11*n + 5*n. Let s be (-4)/(-6)*6/4. Calculate s*d(t) + 4*u(t). -4*t**2 - 2*t - 1 Let u(z) = 410852*z**2 + 0 - 410852*z**2 - 1 + z**3. Let l(f) = f**3 - 2. Give -3*l(o) + 6*u(o). 3*o**3 Let r be (-2 + -100)/2*2. Suppose 0 = 11*b + 76 - 54. Let l be r/(-18) - b/6. Let f(u) = 6*u**2 - u + 5. Let y(c) = -7*c**2 + c - 6. Determine l*f(k) + 5*y(k). k**2 - k Let v(g) = 16*g**3 - 5*g - 5. Let m(s) = 12*s - 137. Let d be m(11). Let n(a) = 8*a + 7 - 1 + 2 - 24*a**3. What is d*n(t) - 8*v(t)? -8*t**3 Let n(y) = -7*y. Suppose 0*r - 11*r + 1969 = 0. Let z = r + -175. Let q(o) = 14*o. Give z*q(d) + 7*n(d). 7*d Let a be 48/9 + (-12 - 595/(-51)). Let g(q) = -7*q**2 - 9*q + 5. Let f(z) = -8*z**2 - 2*z + 3*z**2 - 6*z - z**2 + 4. Give a*f(r) - 4*g(r). -2*r**2 - 4*r Let q(h) = -2575*h - 6. Let i(t) = 146775*t + 345. Calculate -6*i(v) - 345*q(v). 7725*v Let v(d) = 14040*d - 32. Let n(g) = -7022*g + 13. Give 5*n(k) + 2*v(k). -7030*k + 1 Let f(c) = -15*c - 11. Suppose 0 = 98*k - 162 + 358. Let n(l) = -3*l - 2. Determine k*f(a) + 11*n(a). -3*a Let n(w) = w**2 - 1. Let x = 63 + -67. Let a be (-23 + 26)*(-1 - 0 - -3). Let m(k) = 2*k**2 - 2. Determine a*n(g) + x*m(g). -2*g**2 + 2 Let r = 345 - 304. Let z(q) = 0*q - q**3 - r*q**2 + q + 40*q**2. Let c(o) = -7*o**3 - 5*o**2 + 5*o - 2. Determine -c(l) + 5*z(l). 2*l**3 + 2 Let w(c) = -54*c. Let s(y) = 86*y. Let q(k) = -5*s(k) - 8*w(k). Let n(p) be the third derivative of -3*p**4/8 - p**2. Let l = -4 + 6. What is l*n(a) + 11*q(a)? 4*a Let g = 503 + -492. Let n(z) = 3*z - 12*z + 0*z - g*z**2. Let f(t) = 5*t**2 + 4*t. Let a be (-56)/(-6) + (-1)/3. Calculate a*f(l) + 4*n(l). l**2 Let f(g) = -58*g - 118. Let v(o) = -7*o - 4. Determine -f(b) + 8*v(b). 2*b + 86 Let o(d) = 11*d**2 - d - 1. Let l(u) = -34*u**2 - 8*u**2 + 3*u + 31*u**2 + 1 + 3*u - 5*u. What is 3*l(c) + 2*o(c)? -11*c**2 + c + 1 Let r(i) = 8*i + 3. Let t be -13 + (24 - 17) - -2. Let f(k) = 15*k + 7. Determine t*f(h) + 9*r(h). 12*h - 1 Let m(c) = -c**2 - c. Let u(s) be the third derivative of -s**5/60 + 5*s**4/24 + 626*s**2 - 2*s. What is -4*m(x) - u(x)? 5*x**2 - x Let l(v) = -v**2 - v - 1. Let j(o) be the first derivative of 7*o**3/3 + 5*o**2/2 - 5*o + 872. Give -j(a) - 5*l(a). -2*a**2 + 10 Let f(b) = 2*b**3 + 7*b**2 + 122*b. Let t(i) = i**3 + 4*i**2 + 61*i. Calculate -3*f(o) + 5*t(o). -o**3 - o**2 - 61*o Let b(i) = -301*i**2 - 8. Let c(v) = 36018*v**2 + 957. Determine -957*b(q) - 8*c(q). -87*q**2 Suppose -4*m + 14 = -2*q, q + 4*q + 7 = 3*m. Let z(w) = -2*w - 1. Let k(f) = 10*f + 3. Let y(o) = -k(o) - 4*z(o). Let c(t) = t. What is q*c(l) + y(l)? -l + 1 Let y(o) = -o - 35. Suppose -110*p + 4*p = 189*p + 1770. Let s(g) = 2*g + 69. Calculate p*s(k) - 11*y(k). -k - 29 Let l(z) = -10*z**2 - 3*z + 11. Let u(a) be the second derivative of a**4/4 + a**3/6 - 2*a**2 - 439*a. Calculate 2*l(k) + 7*u(k). k**2 + k - 6 Let v(t) = 1. Let m(i) be the first derivative of i**2 - 18*i + 5148. Determine m(k) + 4*v(k). 2*k - 14 Let l(s) = 1. Let d(h) = -h**2 + 4*h + 1. Let o(m) = -38*m**3 + 452*m**2 + 48*m - 2. Let i be o(12). Calculate i*l(y) + d(y). -y**2 + 4*y - 1 Let h = -1332 - -1328. Let j(m) = -m. Let n(u) = -7*u**2 + 0 + u**3 - 10*u - 1 + 2*u + 0. Let g be n(8). Let i(v) = 3*v - 1. Give g*i(k) + h*j(k). k + 1 Let s(x) = 3*x**3 - 2*x. Let r = -14 - -12. Let t(b) = 272*b**2 - 271*b**2 + 3*b - b**3 - 2*b. Calculate r*t(c) - s(c). -c**3 - 2*c**2 Let c(j) = j - 1. Suppose 63*k - 62 = 1. Let v(z) = 5*z - 4. What is k*v(g) - 2*c(g)? 3*g - 2 Let n(l) = -l**3. Let d(j) be the first derivative of j**5/5 - j**3/3 + j**2 + 131*j - 158. Let q(v) be the first derivative of d(v). Calculate 6*n(w) + q(w). -2*w**3 - 2*w + 2 Let i(m) = 468*m**3 + 91*m**2 - 91. Let a(y) = -26*y**3 - 5*y**2 + 5. Let r = -4724 + 4815. Calculate r*a(g) + 5*i(g). -26*g**3 Let c(y) = -y - 1. Let l(n) = 206*n + 5. Let t(x) = 591*x + 15. Let j(d) = 17*l(d) - 6*t(d). Calculate -3*c(o) + j(o). -41*o - 2 Let w(f) = 3*f + 756. Let h(i) = -7*i - 1505. Calculate 2*h(q) + 5*w(q). q + 770 Let l(h) = 5*h + 7. Let g be l(-1). Let z(r) = 0*r**2 + r - r**g + 27527 - 27521. Let f(n) = -n - 5. What is -3*f(x) - 2*z(x)? 2*x**2 + x + 3 Let m(v) = -5 - 3*v**3 + v**2 - v**2 + 4. Let k(d) = -2*d - 7. Let n be k(-5). Let u(o) = 1399*o**2 - 13*o**3 - 1399*o**2 - n. Calculate 9*m(t) - 2*u(t). -t**3 - 3 Let m(s) = 34*s + 1853. Let j(z) = -15*z - 925. Give 9*j(t) + 4*m(t). t - 913 Let y(v) = 7*v - 12. Let u(b) = -b + 1. Let t = 3914 - 3920. Calculate t*u(n) - y(n). -n + 6 Let i(r) = -283*r - 275. Let x be i(-1). Let b(v) = 11*v**2 + 9*v + 14. Let u(f) = -4*f**2 - 3*f - 5. What is x*u(d) + 3*b(d)? d**2 + 3*d + 2 Let c(m) = 2*m**2 - 2*m - 3. Let w be (-2)/(((-1)/5)/((-48)/(-120))). Let a(v) = 4*v**2 - 4*v - 6. Give w*a(k) - 7*c(k). 2*k**2 - 2*k - 3 Let n(o) = -17*o**3 - 2*o. Let v(t) be the third derivative of t**6 + 5*t**4/8 - 178*t**2. Determine -15*n(l) - 2*v(l). 15*l**3 Let b(w) be the third derivative of -w**5/10 + w**3/3 + 96823*w**2. Suppose 0 = -p - 4*p - 5. Let t(i) = -2*i**2 + i**2 - 1 + 2*i**2. Give p*b(j) - 3*t(j). 3*j**2 + 1 Let u(j) = 5*j**2 + j. Let x be (15/20)/1 + 21/4. Let a(q) = q**3 - 5*q**2 - 6*q + 7. Let d be a(x). Let h(l) = 4*l**2 + l. What is d*h(c) - 6*u(c)? -2*c**2 + c Let w(i) = -5*i**3 + 2604*i**2 - 14*i + 9. Let m(q) = q**3 - 522*q**2 + 3*q - 2. Give -14*m(y) - 3*w(y). y**3 - 504*y**2 + 1 Let z(v) = -v + 1. Let p(b) = 111*b**2 - 8*b + 6. Calculate p(h) - 5*z(h). 111*h**2 - 3*h + 1 Let j(b) = -22*b**3 + 6*b**2 - 64*b - 6. Let p(y) = 21*y**3 - 5*y**2 + 51*y + 5. Determine 5*j(r) + 6*p(r). 16*r**3 - 14*r Let w(h) = -h - 9. Let d(a) = a + 1. Let u be (752/(-564))/(4/18). Calculate u*d(q) - w(q). -5*q + 3 Let u(r) = 2. Let a(v) = v + 1. Let h(w) = w + 1. Let k(y) = 3*a(y) - 2*h(y). Suppose 31*g - 909 = -1157. Determine g*k(b) + 4*u(b). -8*b Let f(g) = g + 2. Let v(t) = t + 3. Suppose -6*d + 28 = d. Suppose o - m = -d*m - 7, -3*o + 12 = -2*m. What is o*v(n) - 3*f(n)? -n Let u(c) = 9*c**2 + c + 2*c + 7*c - 2 - 4*c**2 - 7*c. Let a(p) be the second derivative of p**4/2 + 2*p**3/3 - 3*p**2/2 + 6*p. Give -3*a(f) + 4*u(f). 2*f**2 + 1 Let h = 19880 - 19871. Let r(s) = -4*s - 15. Let z(l) = -3 + 2*l + 12 - 2. Give h*z(y) + 4*r(y). 2*y + 3 Let q(f) = 3*f**3 - 10*f + 230. Let w(s) = -8*s**3 + 28*s - 691. Determine 17*q(h) + 6*w(h). 3*h**3 - 2*h - 236 Let v(a) = -516186*a - 3 + 11*a**2 + 516186*a. Suppose -b + 0*b - 2*s = 11, 5*b = -2*s - 23. Let t(p) = -1. What is b*t(i) + v(i)? 11*i**2 Let k(b) = b**3 + b**2 - 1. Let r(o) = 9*o**3 + 2*o**2 + 42. Calculate 4*k(x) - r(x). -5*x**3 + 2*x**2 - 46 Let j be (96/128)/(6/16). Let w = -6 + j. Let s(p) = -p**2 - 4*p - 5. Let k(m) = -m + 5*m**2 - 11 - 5*m**2 - m**2 - 8*m. Determine w*k(y) + 9*s(y). -5*y**2 - 1 Let m(w) = -w**2 - 1. Let p = 176 - 167. Suppose -l = -5*b - 2*l - p, -2 = -2*l. Let n(g) = 7*g**3 + 2*g**2 + 2. What is b*m(t) - n(t)? -7*t**3 Suppose -4*o = 4, 4*m + 772 = -o - 433. Let p(s) = -39*s**3 - 4*s + 4. Let b(q) = 2924*q**3 + 301*q - 301. Calculate m*p(t) - 4*b(t). 43*t**3 Let b(k) = -8*k + 37. Let f be (-10)/(-4)*6/3. Let h be b(f). Let x(t) = -6*t + 6. Let i(u) = -2*u + 2. Calculate h*x(y) + 8*i(y). 2*y - 2 Let h = 4844 - 4847. Let k(u) = 3*u**2 - 10*u. Let m(z) = -3*z**2 + 9*z. Give h*m(b) - 2*k(b). 3*b**2 - 7*b Let o(n) = -64*n**3 - 3*n**2 - 13*n + 3. Let u(b) = -316*b**3 - 14*b**2 - 64*b + 14. Give 28*o(x) - 6*u(x). 104*x**3 + 20*x Let n(l) = -l**2 - l. Let m(d) = -30*d**2 - 20*d. Let a be (891/108)/(1/8). Suppose -63*v + a*v = -60. Calculate v*n(u) + m(u). -10*u**2 Let n(f) = -20*f + 1. Let a(m) = m. Suppose -c + 12 - 11 = 3*t, 11 = 5*t - 3*c. Determine t*n(l) - 4*a(l). -24*l + 1 Let y(p) = 7*p**3 + 21*p - 15. Let v(z) be the first derivative of z**4 + 11*z**2/2 - 8*z + 2495. Calculate 11*v(r) - 6*y(r). 2*r*
{ "pile_set_name": "DM Mathematics" }
3*b - 5*u - 78 = -u, 7 = -b + 5*u. What are the prime factors of (-1 - (-1)/2)*b? 11 Suppose g + 6 = 3*g. Suppose g*t - 72 + 23 = 4*z, -4*t = -3*z - 77. What are the prime factors of t? 23 Let s = 4 - -1. Suppose -s*u - 12 = -3*u. Let z = u - -12. List the prime factors of z. 2, 3 Let i(g) = -g + 61. What are the prime factors of i(-7)? 2, 17 Let k = -63 - -109. List the prime factors of k. 2, 23 Let q(c) = 8*c**2 - c - 5. Let p(d) = 7*d**2 - d - 6. Let s(y) = -4*p(y) + 5*q(y). List the prime factors of s(-1). 2, 3 Suppose 0 = 4*y - 2*p - 2*p + 28, 0 = -3*p + 9. Let n be y/10 + 4/10. Suppose n = -2*i + 11 + 9. What are the prime factors of i? 2, 5 Let g = -66 + 121. List the prime factors of g. 5, 11 Let g(i) = -i**2 + 3*i + 4. Let y be g(3). Let v(q) = 5*q**2 - q. Let c be v(1). List the prime factors of c*-1*(y - 6). 2 Suppose 4*d = -3*q + 151, 4*q + 89 = -5*d + 290. List the prime factors of q. 7 Let o = 23 - 17. List the prime factors of o. 2, 3 Suppose -9*r - 1044 = -21*r. List the prime factors of r. 3, 29 Let v be (4 + -3 - -2) + 1. Suppose f - 7 + 3 = 0. Suppose 4*r = v, 3*s - r = -f*r + 18. What are the prime factors of s? 5 Let p be 6/2*(-1 - -3). Suppose -4*a = t + 5, t + a - 40 = p*a. List the prime factors of t. 3, 5 Let l(c) = -2*c + 1. Let y(d) = d. Let x be y(2). Let s = -1 - x. List the prime factors of l(s). 7 Suppose 3*a + 17 = -2*k - 14, 3*k + 3*a = -42. Let v = k + 15. Suppose 0 = -0*j + v*j - 32. List the prime factors of j. 2 Let n(v) be the second derivative of -v**5/20 + v**4/4 - v**3/3 + 2*v. Let j be n(2). Let p = 2 - j. List the prime factors of p. 2 Let r(m) = -m**2 - 4*m - 3. Let y be r(-4). List the prime factors of (-4)/(1 + y) - -1. 3 Let t(x) = -235*x**3 - x**2. Let m be t(-1). Suppose -4*d = -s - 4*s + m, 246 = 5*s - d. Suppose -c = 4*c - s. What are the prime factors of c? 2, 5 Let d(u) = u**2 + u + 22. List the prime factors of d(0). 2, 11 Let y be (-21)/(-14) - (-14)/4. Let m(z) = -z**3 + 5*z**2 + 4*z - 5. What are the prime factors of m(y)? 3, 5 Suppose 16 = 3*c + 1. Suppose 35 = 5*t - c. List the prime factors of t. 2 Suppose 25 = 5*s + l, -3*l - l = 0. Let m(v) = -v**3 - 7*v**2 - 6*v + 2. Let h be m(-6). Suppose s*g = 3*r - 46, 0*r = r + g - h. List the prime factors of r. 7 List the prime factors of 9/(-3) + 5 + 11 + 2. 3, 5 Let w(u) = 3*u**2 - 11*u - 3. List the prime factors of w(6). 3, 13 Let s(v) = v**2 - v. Let l be s(0). Let j be ((-136)/2)/(-2) + l. Let q = -24 + j. What are the prime factors of q? 2, 5 Let k(j) = -j**2 + 3*j - 4. Let o be k(2). Let z(c) = -9*c - 5. What are the prime factors of z(o)? 13 Let b(l) = l**3 - 11*l**2 + 10*l + 3. Let k be b(10). What are the prime factors of k - 1 - -3*7? 23 Suppose -125 = -0*n - 5*n. What are the prime factors of n? 5 Let l = -84 + 27. Let j = -35 - l. List the prime factors of j. 2, 11 Let a(p) = 295*p. Let g be a(1). Suppose 4*v + v - g = 0. Suppose -t + 4 = y, 4*t - 19 = 3*y - v. List the prime factors of y. 2 Let i = -6 + 8. Suppose 0*k + 2*k = 0. Let c = k + i. What are the prime factors of c? 2 Suppose 9*p - 669 = 1023. What are the prime factors of p? 2, 47 Suppose -5*d - 12 = 4*v, 4*v - 2*v - 16 = 3*d. Let f = -2 - -3. Suppose f + 11 = v*y. List the prime factors of y. 2, 3 Let x(a) = 6*a**3 + 2*a - 1. Let c be x(1). Suppose -c*z + 85 = -2*z. List the prime factors of z. 17 Let i(l) = 1 - 3*l**3 - 8*l - 8*l**2 + 9 - l**2 + 2*l**3. What are the prime factors of i(-8)? 2, 5 Suppose 0 = 4*u + 8, u + 10 = -t - 3*u. List the prime factors of (7 - 26)*(1 + t). 19 Let r be (-1)/(102/(-105) + 1). Let l = 50 + r. What are the prime factors of l? 3, 5 Suppose -4*i + 0*i + 184 = 0. What are the prime factors of i? 2, 23 Let o = 78 - 44. What are the prime factors of o? 2, 17 Let v be (-4)/18 - 76/(-18). Suppose -v*r = -r, 4*y = -3*r + 8. What are the prime factors of y? 2 Let v(t) = 4*t - 1. Suppose -5*k + 2*s + 24 = -40, 57 = 3*k + 5*s. Suppose -k + 0 = -2*m + 4*d, 3*d - 3 = -3*m. What are the prime factors of v(m)? 11 Let v = -19 + 17. Let a = 151 - -19. What are the prime factors of a/15 - v/(-6)? 11 Let r(j) = 29*j**2 - 2*j + 1. Let k be r(1). Suppose -3*l + 8*l + k = -4*a, 0 = -4*a - 8. Let p = l - -8. List the prime factors of p. 2 Let n = -2 - 1. Let p = n - -11. What are the prime factors of p? 2 What are the prime factors of 50/(-15)*534/(-10)? 2, 89 Suppose 0 = -4*b + 5*j - 12, 5 + 3 = 2*j. Suppose 8*r = 7*r. Suppose -b*g + 4*g - 14 = r. What are the prime factors of g? 7 Let f(k) = k**2 - 12*k - 13. List the prime factors of f(21). 2, 11 Suppose 3*c = 5*c - 5*m + 15, -2*c + 30 = 4*m. Let x be (-10)/25*-5*3. Suppose -g = c*q - 12, x*q = 5*g + 2*q - 60. What are the prime factors of g? 2, 3 What are the prime factors of (-248)/(-3) - (-22)/66? 83 Let z = 1 + 1. Let j(u) = -7*u + 0*u**z - 2 + u**2 - 7. List the prime factors of j(9). 3 Let x = -3 + 3. Suppose 3*o + 4*w + 12 = x, 2*w - 17 = o - w. Let r = 0 - o. List the prime factors of r. 2 Suppose -89 - 41 = -a. What are the prime factors of a? 2, 5, 13 Suppose c = 3*r - 2, -3*r + r = c + 17. Let n = -8 - c. Let y = 11 - n. List the prime factors of y. 2 Let i = 8 + 9. List the prime factors of i. 17 Suppose -9*k - 277 = -1411. List the prime factors of k. 2, 3, 7 Let r(t) = 5*t - 14. List the prime factors of r(6). 2 Let i = -3 - -4. Let m = i - -4. Suppose m*f = 6*f - 6. What are the prime factors of f? 2, 3 Let j = 0 + 3. Suppose 6*q - q + j*w - 54 = 0, -4*q + 27 = -3*w. Suppose 0 = 2*d - 19 - q. List the prime factors of d. 2, 7 Suppose 0 = x, x + 152 = 4*k - 3*x. Suppose -4*m + k + 10 = 0. List the prime factors of m/(-2 + 1)*-1. 2, 3 Let x(s) = 2*s - 7. Let l be x(6). Suppose -5*f = -25 - 20. Suppose y - f = l. What are the prime factors of y? 2, 7 Let y = -5 - -5. Suppose y = -j - 3 + 8. What are the prime factors of j? 5 Suppose 253 = 5*x - 2*q - 37, 20 = 4*q. Suppose 0*g - 3*g = -4*s - x, -2*g - s = -29. List the prime factors of g. 2 Let j = 26 - -3. What are the prime factors of j? 29 Suppose -4*i = 3*v - 110, -v + 3*v - 2*i = 50. List the prime factors of v. 2, 3, 5 Let x(g) = -g**2 + 11*g - 8. List the prime factors of x(6). 2, 11 Suppose t - 4 = -j, -5*j + 2*t + t + 20 = 0. Suppose -8 = -0*z - j*z. What are the prime factors of 3 - 3 - z*-1? 2 Suppose n - 774 = -8*n. What are the prime factors of n? 2, 43 Suppose -k - 820 = -5*u - 3*k, 5 = k. List the prime factors of u. 2, 3 Suppose -v + 0*v + 1 = 0. Suppose 1 = -4*m - 3. List the prime factors of (v + (-6 - 1))*m. 2, 3 Suppose -2*c = -3*g - 28, -37 + 9 = -4*c - g. Let m = 26 - c. What are the prime factors of m? 2, 3 Let q(x) be the first derivative of -1/4*x**4 + 5/3*x**3 + 3*x + 3*x**2 - 2. What are the prime factors of q(6)? 3 Suppose -1 = -4*m + 3*m + 4*s, 3*m - 73 = -2*s. List the prime factors of m. 3, 7 Suppose 0*a - 4*a + 3*p = -24, 2*p = 0. Let c = a + -1. What are the prime factors of c? 5 Let w = -40 + 57. What are the prime factors of w? 17 Let l be 1 + 1 - (-4)/4. Suppose a - 6 = -w, l*a = -2*w + 5*w + 30. Let m = 11 - a. List the prime factors of m. 3 Let y be (0 - 0) + -3 - -3. Suppose -2*j = 2*d - y*d - 28, 5*d = 3*j + 38. Let w(a) = -a + 23. List the prime factors of w(d). 13 Let t(s) = -151*s**3 + 2*s**2 + s. Let v be t(-1). Suppose -v = -3*i - i. What are the prime factors of i? 2, 19 Let i = 24 + -8. What are the prime factors of i? 2 Suppose 5*z + 122 = 2*x, -z + 5 = x - 63. What are the prime factors of x? 2, 3, 11 Let n(x) = 6*x**2 + 3*x + 1. Let m(f) = 6*f**2 + 2*f + 1. Let p(h) = 4*m(h) - 3*n(h). List the prime factors of p(-2). 3 Let q(r) = -23*r**2 + 7*r + 1. Let o(b) = 23*b**2 - 6*b - 1. Let j(l) = 5*o(l) + 4*q(l). What are the prime factors of j(-1)? 2, 3 Let b(m) = -m + 52. What are the prime factors of b(-24)? 2, 19 Suppose 5*r - 3*j = 3 - 5, -2*r = -j. Suppose 60 = 3*l + r*l. What are the prime factors of l? 2, 3 What are the prime factors of ((-38)/4)/((-12)/24)? 19 Suppose 0 = -j - 5*v + v + 18, j = -5*v + 20. What are the prime factors of j? 2, 5 Suppose 60 = -10*m + 570. List the prime factors of m. 3, 17 Let x(f) = f**2 - f + 9. Let a be 0*(2 - 10/4). Let v be x(a). List the prime factors of 6*(6/v + 0). 2 Suppose 0 = -5*c - 2*v + 491, 9*v = 4*v + 15. What are the prime factors of c? 9
{ "pile_set_name": "DM Mathematics" }
+ -5131. What are the prime factors of o? 2, 3, 43 Let b be (-54)/(-36)*(-8)/(-6)*2. Suppose -2*d = 4*c - 450, 9*c = -b*d + 6*c + 880. List the prime factors of d. 7, 31 Let y(i) = -639*i + 6171. What are the prime factors of y(-18)? 3, 43, 137 List the prime factors of 7 + 12 + -11 + 27346. 2, 3, 47, 97 Suppose -25*f + 23*f = i - 3673, f - 1839 = 2*i. List the prime factors of f. 11, 167 Let o = 5 - 14. Let y(z) = -28*z + 18. What are the prime factors of y(o)? 2, 3, 5 Let z(w) = -7*w**3 + 9*w + 6. Let b be z(-4). Suppose b + 6199 = 13*t. What are the prime factors of t? 509 Suppose 2*n + 6 = 0, -5*w + 1024 - 5120 = -3*n. Let i = 1950 + w. List the prime factors of i. 1129 Suppose -18 = -2*m - 8. Let n(t) = 33*t - 22. Let q be n(m). Suppose a = -5*x - a + 347, -5*a = 2*x - q. What are the prime factors of x? 3, 23 Let x(c) = 58*c**2 + 52*c + 9. What are the prime factors of x(6)? 3, 11, 73 Suppose 123*k = 1153499 + 477727. List the prime factors of k. 2, 19, 349 Let p(r) = 558*r + 736. What are the prime factors of p(12)? 2, 929 What are the prime factors of (-36)/(-9) + (-22824)/(12/(-3))*1? 2, 5, 571 Suppose 0 = -5*a - 4*y + 5*y + 22585, 2*y = 10. Let h = a + -3116. What are the prime factors of h? 2, 701 List the prime factors of ((9 - 5) + 2)*3885/2. 3, 5, 7, 37 Let v(y) = y**2 - 2*y + 2. Let i be v(0). Suppose -i*o - 5*x = -558, o + 115 - 393 = -2*x. What are the prime factors of o? 2, 137 Let w = 1365 - 814. List the prime factors of w. 19, 29 Let y be ((-120)/50)/(509/255 - 2). Suppose -4 = -4*t + 4, 2*a - y = -2*t. What are the prime factors of a? 2, 19 Let g = -56 - -63. What are the prime factors of ((-30576)/(-18))/g + 4/(-6)? 2, 11 Suppose 5 = 6*c - 2*c + 5*s, -2*c = -2*s + 2. Suppose 5*q - 2*d = 321 + 149, -3*q + 4*d + 282 = c. What are the prime factors of q? 2, 47 Suppose -12 = 4*k, 0 = -2*v - k + 5*k - 200. Let n = v - -1045. What are the prime factors of n? 3, 313 Let h = 9 + -4. Let v be -2*(-2 + (h - 4)). List the prime factors of 4*1/(v/20). 2, 5 Let d = -222 - -220. List the prime factors of (-1 - d - -5) + 150. 2, 3, 13 What are the prime factors of (-3 + 884)/(((-22)/3003)/((-16)/24))? 7, 13, 881 Let w(d) = 42*d - 104. Let f be w(6). Let u = f - -83. List the prime factors of u. 3, 7, 11 Let g = 378 + -147. Let l be (-1)/(g/57 + -4). Let n = 8 - l. List the prime factors of n. 3 Let f = 245 + -242. Suppose -538 = -y + f*s, y + 4*s - 538 = 3*s. What are the prime factors of y? 2, 269 Let m = 10701 + -5152. What are the prime factors of m? 31, 179 Let c be 2 - (2 + -2 - 2). Let g be c*3/(-18)*-3. Let x(i) = 13*i**3 - i**2 + 1. List the prime factors of x(g). 101 What are the prime factors of (44241 - -361) + 3/((-3)/10)? 2, 3, 929 Suppose -74*w = -184*w + 218680. What are the prime factors of w? 2, 7, 71 Suppose 0*r = 4*r - r. Suppose r = -15*d + 16*d - 285. List the prime factors of d. 3, 5, 19 Let m be 3/(45/(-6)) - 4178/5. Let z = 1208 + m. What are the prime factors of z? 2, 3, 31 Suppose -3*v = 4*c - 114375, 57038 = 4*c + 2*v - 57336. What are the prime factors of c? 3, 353 Let w(p) = 17493*p + 3290. List the prime factors of w(2). 2, 7, 1367 Suppose -2*w = 4*o - 74452 - 28694, 0 = 2*o - 5*w - 51567. List the prime factors of o. 2, 12893 Let z = 911 - 831. Suppose 0 = 5*q + 2*i - 15, -6*i + 2*i + 15 = 5*q. Suppose z = q*p - p. List the prime factors of p. 2, 5 Let d(p) = 48*p**3 + 5*p**2 - 21*p - 52. List the prime factors of d(6). 2, 5, 17, 61 Let s(t) = -t**2 + 8*t + 19. Let m be s(7). Suppose -3248 = -m*q + 19*q. What are the prime factors of q? 2, 29 Let b(l) be the third derivative of -l**6/120 + l**4/4 - 7*l**3/6 - 7*l**2. Let i be b(3). What are the prime factors of (56/i)/((-2)/36 - 0)? 3, 7 What are the prime factors of (-17741)/7*(267 + -274)? 113, 157 Let a(g) = 2*g + 13. Let p be a(-4). Suppose -5*z = p*q + 40, -3*z = -q - 2 + 14. What are the prime factors of (3 + z + -79)/(-1)? 3 Let g(u) be the third derivative of u**5/20 - 13*u**4/12 - 7*u**3/3 + 24*u**2 + u. List the prime factors of g(21). 7, 109 Let h = 313 + -249. What are the prime factors of h? 2 Suppose 64*t - 4738 = 21694. What are the prime factors of t? 7, 59 Let b(p) = 68*p**2 + 5*p + 6. Suppose 4*k + 6*k = 3*k. Suppose 0 = -3*o + 7*o + 8, k = 5*t - 2*o + 6. What are the prime factors of b(t)? 2, 67 Suppose 15*f + 219 = -906. Let t = f + 80. List the prime factors of (-354)/(-5) + t/25. 71 Let z = -84 - -88. Let r(d) = 4*d**3 + 3*d**2 + 5*d. What are the prime factors of r(z)? 2, 3 What are the prime factors of ((-64)/128)/((2/128556)/(-1))? 3, 3571 Let b(c) = 6*c + 7*c**2 - 345 - 345 - 3*c**2 + 697. What are the prime factors of b(-7)? 7, 23 Let i be (-3)/6 + (-4)/(-8). Suppose i*a - 3*j = -2*a + 435, 2*a - 441 = 5*j. Suppose 4*o + m = -0*o + a, 3*o - 147 = -5*m. List the prime factors of o. 2, 3 Let g = -1938 - -3845. List the prime factors of g. 1907 Let d(v) = v**3 + 8*v**2 + 12*v + 1. Let s(z) = -z**2 + 15*z - 11. Let c be s(12). Suppose 0 = m + 4*m + c. List the prime factors of d(m). 2 Let s = 6820 + 4329. What are the prime factors of s? 11149 Suppose -7*d - d + 16 = 0. Let c be 3*(920/6)/d. Suppose 2*o = -3*r + c, 0*o + 376 = 5*r - 4*o. List the prime factors of r. 2, 19 Let p = 98186 - 32024. What are the prime factors of p? 2, 3, 11027 Suppose 4*w = -5*o + 33, -2*o - 3*w = -5*o + 9. Suppose 0 = -5*s + 20 + o. Suppose n = 5*n - 2*r - 170, 0 = -5*n - s*r + 190. What are the prime factors of n? 41 What are the prime factors of (56/(-392) + 59595/(-70))/((-2)/100)? 5, 13, 131 Let u(b) be the second derivative of -11*b**3/6 - 17*b**2 - 30*b. Let g be 20*(1 - (-18)/(-10)). List the prime factors of u(g). 2, 71 Let w(y) = -y**3 + y**2. Let p(q) = 7*q**3 - 10*q**2 - 16*q + 13. Let d(t) = p(t) + 6*w(t). What are the prime factors of d(10)? 3, 151 Let x(h) = 9*h + 1. Let i be x(1). What are the prime factors of (-10822)/(-63) + i/45? 2, 43 Let o(y) = 347*y**2 + 69*y + 378. List the prime factors of o(-6). 2, 3, 173 Suppose 4*c = 92 + 20. Suppose c = 4*s + 5*t - 8, -3*s + 8 = -t. Suppose s*o - x - 82 = -3, 0 = -o - x + 16. List the prime factors of o. 19 Suppose -v = 75 - 79. Suppose -m - 3*r + 175 = 0, -530 = -v*m + m - 4*r. List the prime factors of m. 2, 89 Let j(v) = -29*v - 2*v**2 - 23 + 12*v - v**2 + 2*v**2. Suppose 10*n - 28 = -168. What are the prime factors of j(n)? 19 Let m(o) = 2*o**2 - 7*o - 11. Suppose -a - 2*r = -12, 4*r = -1 + 9. Let q be m(a). Suppose 2*u + 165 - q = c, 0 = c - u - 101. List the prime factors of c. 2, 7 Let c be ((-92)/(-16) + -3)*32. Let r = c + -80. Suppose r*p - 656 = 4*p. List the prime factors of p. 2, 41 Let m(y) = -319*y**3 + 15*y**2 + 17*y + 8. List the prime factors of m(-4). 2, 19, 271 Suppose 765 = 56*o - 61*o. Let w = o + 193. List the prime factors of w. 2, 5 Suppose 3*h - 40 = -2*h + 4*n, -4*h = 5*n + 9. Suppose 4*t = -2*s - 30, h*t - 5*t - 3 = 0. List the prime factors of (-12)/(-8)*(-804)/s. 2, 67 Let w = 144 + -145. Let c(n) = -97*n**3 - 3*n**2 - 3*n. List the prime factors of c(w). 97 Let q(c) = -c**2 - 8*c - 36. Let v be q(-8). What are the prime factors of (12/v)/((-4)/6)*578? 17 Let g(x) = 356*x**2 - x - 1. Let b be g(-1). Let u = b + -177. Suppose 5*l - 830 = -2*k, l + 16 = -k + u. List the prime factors of l. 2, 3, 7 Let x(w) = w**3 - w**2 - 2*w + 42. Let f be x(0). Suppose 7*y = -j + 3*y + f, 0 = -2*j + 2*y + 44. List the prime factors of ((-3 - 2) + 1)*j/(-8). 13 Let x = 2536 + 5420. List the prime factors of x. 2, 3, 13, 17 Let y(m) = -2*m**2 + 14*m + 44. Let t(k) = -26*k - 13. Let f be t(-1). Let o be y(f). What are the prime factors of (2 + 39/6)/((-4)/o)? 2, 7, 17 Let a(x) = -53*x + 28. Let m be a(-12). Suppose -m = -16*d + 14*d. List the prime factors of d. 2, 83 Suppose -107*c = 605911 - 3257799. List the prime factors of c. 2, 1549 Suppose 3*g - 3*r + 7*r - 494 = 0, 0 = -5*g + 3*r + 775. Let b = -118 + 36. Let l = g + b. What are the prime factors of l? 2, 19 Let v be -3 + 60/18 - 37/3. Let t be (-7)/(-2) + (-6)/v + -1702. What are the prime factors of (-46)/(-391) + t/(-17)? 2, 5 Let n(k) = -56*k**3 + 8*k**2 + 71*k + 8. What are the prime factors of n(-8)? 2, 1789 Let b(i) = -i**3 + 16*i**2 - 5*i - 26. Let p be (2 + 0)*7/(-7)*-6. Let s be b(p). Suppose 11*a - s = 6*a. Li
{ "pile_set_name": "DM Mathematics" }
2*v - 9*v. What is the tens digit of h(-5)? 3 Let k = 10 + 6. What is the units digit of k? 6 Suppose t = -0*t + 58. What is the units digit of t? 8 Let t = -5 - -10. Suppose -t*z + 37 = -33. What is the tens digit of z? 1 Let j = -2 + 0. What is the units digit of (j/(-3))/(1/6)? 4 Suppose -3*z + 355 = 4*j - 78, 741 = 5*z - 3*j. What is the hundreds digit of z? 1 Let r be (156/8)/((-2)/(-4)). Suppose 0 = -0*o - 3*o + r. What is the units digit of o? 3 Let l(m) = m**3 - 11*m**2 - 12*m + 2. Let i be l(12). Suppose -2*t - 4 = -i*s - 6, t - 2*s + 3 = 0. What is the units digit of t? 5 Let h be (-1)/(4 + (-27)/6). Suppose 0*z + 8 = 4*z. Suppose -44 = -h*t - z*t. What is the units digit of t? 1 What is the units digit of (-706)/(-4) - (-1)/2? 7 Suppose 4*i = i + 6. Suppose -4 = -3*k - b, -2*b - i = -5*k - 6*b. What is the units digit of k? 2 Suppose -w - 3*l = 50 - 140, -3*w - 3*l + 270 = 0. What is the tens digit of w? 9 Suppose 7*g - 2*g = 130. Suppose u = 4*t + g - 0, -3*u - t + 91 = 0. What is the units digit of u? 0 Let c(l) = l**2 + 11*l. Let y be c(-11). Suppose 4*b - 60 = -y*b + 4*d, -35 = -2*b - 3*d. What is the tens digit of b? 1 Suppose 4*o + 29 = -3*i, 0 = 5*o - 2*i + 28 - 9. What is the units digit of (18/o)/((-10)/25)? 9 Let k = 17 + -8. What is the units digit of k? 9 Let x(o) = 13*o - 9. Let s(c) = 3*c - 2. Let u(y) = 9*s(y) - 2*x(y). Let b(k) = -5*k + 1. Let w(v) = b(v) + 4*u(v). What is the units digit of w(-4)? 5 Let g = 37 + -27. What is the units digit of g? 0 Let z(p) = -3 + p**3 - 2*p**3 - 2*p + 0*p - 2*p**2. Let h be (12/15)/((-4)/10). What is the units digit of z(h)? 1 Let j(q) = q - 7 + 0 + 3 + 1. What is the units digit of j(4)? 1 Let p = 67 - -14. Suppose 4*v - p = n, -3*v - 5*n = -v - 57. What is the tens digit of v? 2 Let u be ((-6)/5)/((-27)/(-90)). What is the units digit of u/(0 + (-3)/6)? 8 Let a = 9 + -8. Suppose 3*j - a = 5. Let v = 2 + j. What is the units digit of v? 4 Let g(h) = h + 6. Let b be g(-5). Let r(z) = b + 2*z - 4*z + 3*z. What is the units digit of r(2)? 3 Suppose -4*r + 152 = -0*r. What is the units digit of r? 8 Let p be 1/(-1)*2 - 2. Let n = 9 + p. What is the units digit of n? 5 Suppose 3*f = 4*f - 2. Suppose 4*c = -8, 5*t - 5*c - 19 = f*t. Suppose 15 = t*b - 0*b. What is the units digit of b? 5 Suppose -6 - 27 = -3*d. What is the tens digit of d? 1 Let q be 40/6 + (-10)/15. Suppose 0*n = n - q. What is the units digit of 66/10 - n/(-15)? 7 Let t be ((-16)/(-6) - 0)*-3. What is the tens digit of (-126)/t + (-10)/(-40)? 1 Let s = 25 - 20. What is the units digit of s? 5 Let o(f) = 2*f**3 - 3*f**2 - f - 1. What is the units digit of o(3)? 3 Let q = -17 + 61. What is the tens digit of q? 4 What is the units digit of (1 - 2)/((-12)/1452)? 1 Suppose 0 = -3*i - 28 + 565. What is the hundreds digit of i? 1 Let c(m) = m**3 - 14*m**2 + 24*m - 29. What is the tens digit of c(13)? 1 Let z(b) = 5*b**2 - b - 3. Let v be z(-3). Let h = -17 + v. What is the units digit of h? 8 Suppose -2*q + 5*q = 0. Let i be (q + 9)/((-1)/(-1)). What is the units digit of 44/6 - 3/i? 7 Suppose 0 = -5*v + 9 + 21. Let q be (v + -4)/(1/5). Suppose -q = -4*z + 2*m, -4*z + 0*z + 13 = -3*m. What is the units digit of z? 1 Let w = 4 - 3. Let o be (-2)/(-2)*(15 + 2). Suppose 2*u + w = u - 2*l, u - o = 4*l. What is the units digit of u? 5 Let h be -3*(-1)/((-1)/(-2)). Let u(d) = 2*d**2 - 10*d + 6. Let x be u(h). Suppose -r + 4*r = x. What is the units digit of r? 6 What is the tens digit of -21 + 100 + (5 + 1)/2? 8 Suppose -2*p = -4*p + 18. What is the units digit of p? 9 Suppose -3*g - 94 = 14. Let j = 3 - g. What is the tens digit of j? 3 Suppose -5*i + w = 70, -3*i - 42 = -3*w + w. Let u = -6 - i. What is the units digit of u? 8 Suppose 7 = 4*c + 3. What is the tens digit of (c + (3 - 5))*-24? 2 Let r(w) = -w**2 - w + 6. Let i(v) = v**2 + v - 7. Let u(p) = -7*i(p) - 6*r(p). Let b = -4 + 4. What is the tens digit of u(b)? 1 What is the tens digit of 3 + -106*(1 - 2)? 0 Suppose a = 3*c - 3, 2*a + 2 = -2*c + 4*c. Let h(z) = -z + 10. Let d be h(8). Suppose a*o - o - 3*f + 12 = 0, -5*o = d*f - 34. What is the units digit of o? 6 Let j(p) = p**2 - 3*p + 42. What is the units digit of j(-13)? 0 Suppose -1 - 7 = 2*j. Let g(f) be the second derivative of -f**5/20 - f**4/4 + f**3/3 - f**2 + 14*f. What is the units digit of g(j)? 6 Let q = -5 - -10. Let k be 0/((-2 - -2) + 2). Suppose 10 = q*l - k. What is the units digit of l? 2 Let q = -107 - -189. What is the tens digit of q? 8 What is the units digit of ((-1528)/24)/((-1)/3*1)? 1 Let t = 16 + -8. What is the units digit of t? 8 What is the tens digit of 2 + 2 + 29/1? 3 Let d(w) = -4*w**3 + 2*w**2 + 2*w + 1. Let k be d(-1). Suppose -5*s - 4*g = -k, -s + 23 - 3 = -3*g. Let i = -1 + s. What is the units digit of i? 4 Let a(c) = c**3 - 13*c**2 + 1. What is the units digit of a(13)? 1 Let f = 5 + -8. What is the tens digit of (-3)/(-9) - 32/f? 1 Suppose 9 = -2*p - 7*t + 2*t, 2*p = -4*t - 6. Suppose -3*d - 45 = -4*s + 2*d, s = -p*d + 24. What is the tens digit of s? 1 Let d be -1*(0 + 1 + -3). Suppose 0 = -d*z - z + 24. What is the units digit of z? 8 Let b = -3 + 19. Let q be (-1 - -2) + b + -2. Let i = q - 5. What is the units digit of i? 0 Let y(p) = 8*p**3 - p + 1. Suppose 2*h - 5 = -3*h. What is the units digit of y(h)? 8 Suppose 2*i - 15 - 3 = 0. Let q(d) = -d**2 + 10*d + 8. What is the tens digit of q(i)? 1 Let j(u) = -2*u**2 + 15*u + 6. Let f(z) = 3*z**2 - 22*z - 9. Let p(b) = 5*f(b) + 7*j(b). What is the tens digit of p(8)? 2 Let r be 20/(7/((-70)/(-4))). Suppose -q - r - 82 = -4*d, -3*q = 0. What is the tens digit of d? 3 Suppose 104 = -4*h - 20. Let j = 52 + h. What is the tens digit of j? 2 Suppose -3*c - a + 72 = -3*a, 2*a = c - 20. Suppose -c = -4*d + 2*h, -2*h + h - 17 = -3*d. What is the units digit of (d/(-6))/((-2)/9)? 3 Suppose 0 = y + y - d - 8, y - 3*d + 1 = 0. Suppose y*p = 30 - 10. What is the units digit of p? 4 Let b(k) = k**2 - 8*k + 11. Let h(z) = z**3 + z**2 - 2. Let f be h(-3). Let j = f - -28. What is the tens digit of b(j)? 1 Let v = 11 - 5. Let a be (v + -3)/((-3)/2). What is the units digit of a + 5 + 1 + -1? 3 Let t be (2 + 1*-2)/2. Let s = 5 + t. What is the units digit of s? 5 Let f(k) = -k**3 - 13*k**2 + k + 15. Let u be f(-13). What is the tens digit of u/(-11) - 1794/(-66)? 2 Let x = -6 - -10. Suppose -2*h + 171 = -2*f + f, -x*h - 2*f = -354. What is the units digit of h/9 - (-4)/(-6)? 9 Suppose 4*k = 291 + 425. What is the units digit of k? 9 Suppose -5*q + k + 404 = 0, -2*q + 167 = 4*k + k. What is the tens digit of q? 8 Let v(p) be the third derivative of -p**5/60 - p**4/3 - p**3/3 + p**2. What is the units digit of v(-6)? 0 Let u = 25 - -11. What is the tens digit of u? 3 Let g = -4 + 7. Suppose g*k + 2 = 38. Suppose -x = -5*x + k. What is the units digit of x? 3 Let r = 15 - -92. What is the tens digit of r? 0 Let h(r) = -r**2 - 5*r. Let o be h(-3). Suppose 0 = -o*d + 4*d + 3*v, -4*d = -5*v - 2. What is the units digit of d? 3 Suppose -2*r + 135 = 113. What is the tens digit of r? 1 Suppose -b = -60 + 15. Suppose 0*h + b = 5*h. What is the units digit of h? 9 Let q = 14 - 32. Let l be (-220)/q + (-2)/9. Suppose -5*i = y - 24, l = 4*i + 4. What is the units digit of y? 4 What is the units digit of 1/3 - (-22)/6? 4 Suppose -w - 5*q + 123 + 82 = 0, q + 757 = 4*w. What is the hundreds digit of w? 1 Suppose -k = 2*k + 3*u - 39, 3*k + u - 39 = 0. What is the tens digit of k? 1 Suppose 3*i - 15 = 3*o, -4*i + 45 = -2*i + 5*o. What is the tens digit of (48/i)/(3/10)? 1 Suppose 3*h - h = 0. Suppose -5*f - 4*d - 9 = h, 3*d = -4*f - f - 13. Let k(z) = z**2 + 3*z - 5. What is the units digit of k(f)? 5 Let a(p) = p**3 - 4*p**2 + p - 1. Let f be a(4). Let o be (-10)/(f/(-6)*1). Suppose 4*r - 2*r - o = 0. What is the units digit of r? 0 Suppose 3*f + 2*f - 275 = 2*w, 3*f - 5*w = 165. What is the tens digit of f? 5 Suppose 0 = 6*l - 529 - 311. What is the tens digit of l? 4 Let s be 7 - 6/(5 - 2). Suppose p = s - 2, 4*c + 7 = 5*p. What is the units digit of c? 2 Let y(x) = x**2 + x - 9. Let u be y(-8). Suppose -2*v + 11 = -u. Let m = -19 + v. What is the units digit of m? 0 Suppose -2*a = -2*y - y + 46, -10 = -y + 2*a. What is the tens digit of y? 1 What is the
{ "pile_set_name": "DM Mathematics" }