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9/12*q**4 + 0 - 43*q + 1/2*q**2 + 1/20*q**5. What is the second derivative of z(j) wrt j? 6*j - 38 Differentiate 584*s**3 - 42*s + 26*s - 203 + 16*s wrt s. 1752*s**2 Suppose -2*h + 71 = 5*y - 5*h, 0 = y - 4*h - 21. What is the second derivative of -8 - 8*i + 6 - y*i**5 + 2 wrt i? -260*i**3 Let w(o) be the first derivative of 0*o**4 - 7/3*o**3 + 0*o + 9 + 0*o**2 + 0*o**5 - 5/6*o**6. Find the third derivative of w(u) wrt u. -300*u**2 Let m be (2 - 2) + 0/(-2). Suppose -4*l + 32 = 5*o - 9*o, 0 = -3*l + o + 16. Differentiate 1 + m*h**4 + 6 - h**4 - h**l wrt h. -8*h**3 Let c(d) be the first derivative of 19*d**4/2 + 358*d + 366. Differentiate c(x) wrt x. 114*x**2 Let d(h) be the first derivative of 0*h**2 + 0*h + 0*h**4 - 30 - 7/5*h**5 - 26/3*h**3. What is the third derivative of d(m) wrt m? -168*m Let a(z) = z**4 - 2*z**3 + z**2 + z. Let q(y) = 53*y**4 + 12*y**3 - 7*y**2 - 383*y. Let j(i) = -6*a(i) - q(i). What is the second derivative of j(n) wrt n? -708*n**2 + 2 Let i(a) = -a**4 - 1. Let g(f) = 9*f**4 - 3*f**2 - 2*f + 16. Let m(o) = -g(o) + 3*i(o). Find the second derivative of m(j) wrt j. -144*j**2 + 6 Let i(b) be the second derivative of -41*b**8/7 + 2*b**4/3 - 4*b**3/3 + 281*b - 2. What is the third derivative of i(f) wrt f? -39360*f**3 Let x(q) = 98*q**3 - 3*q - 209. Let m(d) = -98*d**3 + 2*d + 208. Let l(k) = -3*m(k) - 2*x(k). Differentiate l(y) wrt y. 294*y**2 Let a(u) = 2*u - 28. Let v be a(16). Find the second derivative of -6*l**v + 25*l - l**4 - 15*l wrt l. -84*l**2 Suppose 9 = 4*c - 3*a + 6*a, -a = -c + 11. Suppose -c = -4*j + 2. What is the second derivative of -3*t**j - 15*t + 16*t - 2*t**2 wrt t? -10 Let g be 16/48 - 2/12*2. Let y = 9 - 5. Differentiate g + 22*l**y - 5 - 24*l**4 wrt l. -8*l**3 Let a = 5 - -5. Find the second derivative of -a*u - 3*u - 6*u**4 + 5*u**4 wrt u. -12*u**2 Let d(s) be the third derivative of 46*s**7/105 + 2*s**5/15 - 15*s**2. Find the third derivative of d(b) wrt b. 2208*b Suppose 7*g + 12 = 11*g. Suppose g*h = 2*a - h - 28, 0 = -3*a - 3*h - 3. What is the second derivative of -2*n**4 + 15*n - 2*n**a - 17*n wrt n? -48*n**2 Let y(i) = 26*i**3 + 4*i**2 - 9*i + 1. Let f(r) = -52*r**3 - 7*r**2 + 20*r - 2. Let o(l) = -4*f(l) - 7*y(l). Find the second derivative of o(n) wrt n. 156*n Let q be 816/84 + (-2)/(-7). Let o = 12 - q. Find the third derivative of 2 + 5*v**5 - 1 - 1 + 11*v**o wrt v. 300*v**2 Let q(l) be the third derivative of -l**4/4 - l**3/3 + 13*l**2. Let r(j) = -1. Let h(z) = -2*q(z) + 2*r(z). What is the first derivative of h(k) wrt k? 12 Suppose -l + 5*h = -2*l + 15, -4*l + 2*h = -16. What is the third derivative of -11*a**2 + a**2 + 274*a**5 - 265*a**l wrt a? 540*a**2 Let b(u) = u**3 - u**2 - 4*u - 1. Let o be b(3). Differentiate 23*m**2 + 6*m - 6*m + o - 25 with respect to m. 46*m Let k(r) be the second derivative of -83*r**3/2 + 259*r**2 + r + 290. What is the derivative of k(v) wrt v? -249 Let a(b) be the third derivative of -17*b**8/336 - 7*b**6/120 - 91*b**4/24 - 6*b**2 + 6. What is the second derivative of a(o) wrt o? -340*o**3 - 42*o Let j(a) be the third derivative of 157*a**7/105 - 7*a**3/6 - 494*a**2. What is the derivative of j(o) wrt o? 1256*o**3 What is the second derivative of -145*h - 48237*h**4 - h**2 + 48285*h**4 - 517*h wrt h? 576*h**2 - 2 Let d(p) be the third derivative of 2/3*p**3 + 0 - 16*p**2 + 0*p + 0*p**4 + 1/10*p**5. What is the first derivative of d(s) wrt s? 12*s Let s(r) = r + 4*r**2 + 0*r + 25 - 26 + 4*r**3 - 5*r**2. Let t be s(1). Find the second derivative of 4*n + 3*n**3 - 10*n + n**t wrt n. 24*n Let u(n) be the first derivative of 0*n + 43 - 24*n**2 + 0*n**5 + 14/3*n**6 + 0*n**3 + 0*n**4. Find the second derivative of u(d) wrt d. 560*d**3 What is the derivative of 3*x**2 - 106 + x + 2*x**3 - 56 - x - 22*x**2 wrt x? 6*x**2 - 38*x Let a = -16 + 16. Suppose -c + a*c = -29. What is the second derivative of -6*w**2 - c*w + 14*w + 24*w wrt w? -12 Suppose -133*u = -164*u + 155. Let f(r) be the first derivative of r**2 - u + 8/3*r**3 + 0*r. What is the second derivative of f(k) wrt k? 16 Suppose -2*o = 2 - 6. Find the third derivative of 3*i**o - i**4 - 8*i**2 - i**4 - 12*i**2 wrt i. -48*i Let s(m) be the first derivative of -14*m**5/5 + 53*m - 26. Differentiate s(z) wrt z. -56*z**3 Suppose 4*o = 7*o. Suppose 2*p - 5*c - 35 = o, -3*p = c - 2 - 8. Find the second derivative of 2*b + p*b**4 - 2*b**4 - b**4 + 3*b**4 wrt b. 60*b**2 Let n(t) = t + 1. Suppose 0 = -2*v - 10, -3*m = -v + 6*v + 22. Let d(b) = 8*b - 8. Let k(p) = m*d(p) + 3*n(p). What is the first derivative of k(c) wrt c? 11 Let s(z) be the first derivative of z**9/252 + z**6/24 - 7*z**3 - 10. Let x(d) be the third derivative of s(d). What is the third derivative of x(k) wrt k? 720*k**2 Let b(u) be the second derivative of -49*u**5/20 - 2*u**3/3 - u**2/2 + 79*u. What is the second derivative of b(d) wrt d? -294*d Find the first derivative of -378 - 564*w - 127 - 18 + 144 - 96 wrt w. -564 Let s(x) = -64*x + 5. Let o(b) = -b - 5. Let f(i) = 5*o(i) - s(i). Differentiate f(t) wrt t. 59 Let a = 5 + -3. Let f(k) be the first derivative of 0*k**3 - 3/2*k**a + 0*k + 9 - 2*k**4. Find the second derivative of f(b) wrt b. -48*b Let s(n) be the third derivative of 23*n**6/30 - n**4/24 + 19*n**3/6 - 93*n**2. What is the second derivative of s(a) wrt a? 552*a Let j be (-1 + 41)/4 + -4. Let b(h) = -h**2 + 1. Let d(x) = -3*x**2 + 18. Let p(c) = j*b(c) - d(c). Differentiate p(t) with respect to t. -6*t Let m(s) = -s**3 + 4*s**2 - 2*s - 3. Let t be m(3). Find the third derivative of 13*f**2 - f**5 + t*f**5 + 0*f**5 - 7*f**2 wrt f. -60*f**2 Let j(m) be the second derivative of -21*m**5/20 - 11*m**4 - 318*m. What is the third derivative of j(w) wrt w? -126 Let n(t) = -1. Let v(y) = -y + 5. Let i(a) = 5*n(a) + v(a). Let u be i(-4). What is the third derivative of o**4 + u*o**4 + 2*o**2 - 3*o**4 + 2*o**2 wrt o? 48*o Let q be 6/(-6) - (-2)/(-2). Let m = 4 + q. Find the third derivative of 2*s**2 - 3*s**2 - s**5 + s**2 - 5*s**m wrt s. -60*s**2 Let q be (60/(-16))/((-6)/16). Suppose i = -i + q. What is the first derivative of 0 - i - 2 - 3*t**4 wrt t? -12*t**3 Find the third derivative of 418*f - 418*f - 14*f**2 - 10*f**3 wrt f. -60 Let u be 3/(-4)*(-176)/33. Suppose 4*z + u = 5*z. What is the third derivative of 7*t**2 - z*t**2 + 2*t**5 - 4*t**2 wrt t? 120*t**2 Find the third derivative of 5573*d**2 - 2789*d**2 - 84*d**3 + 3*d**4 + 305 - 2785*d**2 - 78 wrt d. 72*d - 504 Suppose 12*d + 14 = 74. Find the third derivative of 655*n + 14*n**2 - 14*n**d - 655*n wrt n. -840*n**2 Let d = 63 - 42. Let i = -14 + d. What is the third derivative of l**3 + l**3 + l**3 - i*l**2 - 4*l**2 wrt l? 18 Let k(s) = s**2 - 1. Let r(z) be the first derivative of -8*z**3/3 + 25*z**2/2 - 6*z + 32. Let o(q) = -6*k(q) + r(q). Find the second derivative of o(h) wrt h. -28 Let j(h) be the second derivative of 0*h**4 - 3/5*h**5 + 2*h**3 + 0 + 0*h**2 + 9*h. What is the second derivative of j(q) wrt q? -72*q Let l(f) be the second derivative of f**6/15 + 7*f**5/20 - 34*f**3/3 + 49*f. Find the second derivative of l(y) wrt y. 24*y**2 + 42*y Let x(c) = -c**2 + 3*c - 2. Let m(s) = 115*s**2 - 22*s - 11. Let u(w) = -m(w) + 6*x(w). Find the second derivative of u(y) wrt y. -242 Let a(b) be the first derivative of b**6/6 + 80*b**3/3 - 2*b**2 - 13*b - 30. What is the second derivative of a(z) wrt z? 20*z**3 + 160 Let m(p) = 277*p**3 - 5*p**2 + 15*p + 95. Let k(q) = 830*q**3 - 16*q**2 + 48*q + 286. Let h(y) = 5*k(y) - 16*m(y). What is the first derivative of h(v) wrt v? -846*v**2 Let m = -10 - -12. Suppose 2*w = 5*k - 26, 7 + m = -3*w. What is the second derivative of 8*q - k*q - q**2 + 0*q + 2*q wrt q? -2 Let u be 24/(-7)*(-63)/6 + -2. Differentiate -22 - 5*a**4 - 23 + u*a**4 wrt a. 116*a**3 Suppose 0*h - 5*h = -15. Find the third derivative of -4*o**3 + 0*o**3 + 8*o**2 - 8*o**4 + 4*o**h wrt o. -192*o Suppose -20 = -5*p, 3*w + 4*p - 710 = 2*p. What is the third derivative of -13*l**2 - w*l**3 + 234*l**3 + 21*l**5 wrt l? 1260*l**2 Let b(q) = 16*q**2 - 344. Let c(t) = 3*t**2. Let k(s) = -b(s) - 4*c(s). What is the first derivative of k(a) wrt a? -56*a Let k be ((-4)/(-10))/(5/(-25)). Let c be k/3 + (-17)/(-3). Find the third derivative of -14*a**3 + 0*a**2 - 3*a**2 + 14*a**
{ "pile_set_name": "DM Mathematics" }
What is 259 divided by 7? 37 Divide -30 by -2. 15 What is -2646 divided by 6? -441 Divide -372 by 4. -93 What is 6 divided by 56? 3/28 -1380 divided by 345 -4 Divide 284 by 142. 2 Calculate -5 divided by 1. -5 What is -565 divided by -4? 565/4 Calculate 3894 divided by 6. 649 What is -5 divided by 180? -1/36 9834 divided by 3 3278 What is 104 divided by 3? 104/3 What is -52 divided by -5? 52/5 Divide -47 by 47. -1 Calculate -1222 divided by -5. 1222/5 What is -181 divided by 4? -181/4 Divide 4 by -76. -1/19 2 divided by -83 -2/83 17154 divided by -2 -8577 Calculate 6435 divided by 5. 1287 Calculate -42 divided by -6. 7 Divide -4690 by -67. 70 -4 divided by 2 -2 Divide -4 by -22. 2/11 What is 5 divided by 880? 1/176 Divide -5 by -134. 5/134 195 divided by 195 1 Calculate -3204 divided by 6. -534 What is -1 divided by -1252? 1/1252 What is -768 divided by -128? 6 -456 divided by 114 -4 Calculate 0 divided by 3950. 0 Divide -1 by -2066. 1/2066 -13712 divided by -5 13712/5 What is 2925 divided by 585? 5 What is -124 divided by -31? 4 What is 360 divided by -4? -90 -566 divided by -6 283/3 Divide -632 by 4. -158 What is 12348 divided by -4116? -3 22 divided by 148 11/74 Divide 21040 by -5. -4208 What is -3016 divided by -8? 377 -456 divided by -1 456 Calculate 1724 divided by -6. -862/3 Divide -34116 by 4. -8529 19 divided by 275 19/275 9513 divided by 9 1057 Calculate -528 divided by 6. -88 What is 960 divided by 12? 80 -72 divided by -4 18 Calculate 4685 divided by -1. -4685 What is 78 divided by 4? 39/2 1655 divided by 5 331 Divide 254 by -6. -127/3 -2 divided by 96 -1/48 What is -14976 divided by 9? -1664 Calculate 984 divided by -3. -328 Divide -3728 by -16. 233 What is -5 divided by -5? 1 What is -6 divided by 20? -3/10 0 divided by 2352 0 Calculate -914 divided by -457. 2 What is -350 divided by 14? -25 Calculate -1044 divided by 4. -261 -9517 divided by 307 -31 Calculate -318 divided by 106. -3 Divide 177 by 177. 1 What is 5 divided by 288? 5/288 -5244 divided by 57 -92 What is 1690 divided by 1? 1690 Divide -1 by -62. 1/62 -418 divided by 6 -209/3 Calculate 1 divided by 70. 1/70 What is 0 divided by -161? 0 Divide -64 by -7. 64/7 Calculate -20 divided by -5. 4 -41450 divided by 5 -8290 Divide -9755 by -5. 1951 What is -140 divided by -5? 28 Calculate 2 divided by 524. 1/262 What is 47 divided by 2? 47/2 Calculate -1056 divided by -6. 176 Divide 4118 by 2. 2059 What is 2304 divided by 48? 48 Calculate -1642 divided by 6. -821/3 Divide -372 by -3. 124 What is -1222 divided by 2? -611 Calculate 1334 divided by 29. 46 Divide -15 by -9. 5/3 Divide 80 by 16. 5 -90 divided by 9 -10 Divide -7 by -265. 7/265 Calculate 478 divided by 1. 478 Calculate 21 divided by 88. 21/88 What is -4 divided by 26? -2/13 Divide -21 by -3. 7 -104 divided by -26 4 What is 531 divided by 13? 531/13 Divide 7350 by -35. -210 Divide -516 by -6. 86 What is 31 divided by 2? 31/2 Calculate 9 divided by 4. 9/4 Calculate 3 divided by 60. 1/20 What is 113 divided by -13? -113/13 What is -3002 divided by -6? 1501/3 Calculate 40 divided by 11. 40/11 Divide 1 by -29. -1/29 Divide -16 by 2. -8 Calculate -10 divided by 4. -5/2 Divide 963 by -11. -963/11 Calculate -6279 divided by -897. 7 Calculate 5 divided by -2759. -5/2759 Divide -11694 by 6. -1949 Calculate -4 divided by -223. 4/223 Divide 6319 by -3. -6319/3 Divide 23 by 203. 23/203 What is -154 divided by 22? -7 Divide -165 by 33. -5 What is -14 divided by -6? 7/3 Divide 20262 by -6. -3377 2 divided by -272 -1/136 What is -5750 divided by 10? -575 What is -1 divided by 8? -1/8 What is -26 divided by 22? -13/11 What is 4029 divided by -237? -17 Divide 151 by -22. -151/22 Calculate -368 divided by -49. 368/49 What is 18 divided by -5? -18/5 Divide 556 by 2. 278 What is -11244 divided by -6? 1874 Calculate 2040 divided by 5. 408 2499 divided by -2499 -1 Calculate 152 divided by 8. 19 What is -1103 divided by -1103? 1 Calculate 7 divided by 2. 7/2 58 divided by -3 -58/3 Calculate -56 divided by -1. 56 What is -2 divided by 496? -1/248 Calculate 0 divided by 23. 0 Calculate -6 divided by 9. -2/3 What is 1304 divided by 652? 2 Divide 2190 by 6. 365 What is 345440 divided by 4? 86360 Divide -264 by -4. 66 Divide 519 by -173. -3 -236 divided by -4 59 What is -4 divided by -6? 2/3 Calculate 97 divided by -1. -97 Divide -848 by -6. 424/3 Divide 2 by -43. -2/43 52 divided by -25 -52/25 Calculate -131 divided by 40. -131/40 Divide 260 by 2. 130 What is -167 divided by -1? 167 Calculate 552 divided by -8. -69 Calculate 187 divided by -5. -187/5 What is -14 divided by -7? 2 Calculate 0 divided by 3197. 0 Divide 1471 by 9. 1471/9 -5 divided by -700 1/140 Calculate -148 divided by 6. -74/3 -237 divided by -79 3 Divide 53 by 1. 53 What is -416 divided by 4? -104 What is 1 divided by -198? -1/198 What is 268 divided by 2? 134 Divide 1068 by 356. 3 Calculate 152 divided by -2. -76 117 divided by 2 117/2 Divide 15 by 46. 15/46 What is 3 divided by -1569? -1/523 15 divided by -14 -15/14 130 divided by -26 -5 Divide -1600 by -10. 160 What is 3975 divided by -3? -1325 Calculate 13962 divided by -6. -2327 What is 0 divided by -203? 0 Divide 3830 by -2. -1915 Divide -17585 by -3517. 5 Calculate 716 divided by 6. 358/3 What is 10748 divided by 4? 2687 Calculate 62 divided by -9. -62/9 Divide 1 by 2287. 1/2287 What is -72 divided by -5? 72/5 Divide 33 by 7. 33/7 What is -2 divided by -46? 1/23 What is 26 divided by -84? -13/42 Calculate -252 divided by 1. -252 What is -5 divided by -246? 5/246 Divide -165 by 11. -15 What is 4 divided by -26? -2/13 What is -3250 divided by 2? -1625 -488 divided by 1 -488 Calculate -202 divided by 2. -101 What is -175 divided by -5? 35 Divide -2550 by 8. -1275/4 Divide 3 by -934. -3/934 What is -1 divided by 1208? -1/1208 What is 44 divided by -33? -4/3 What is 1 divided by 598? 1/598 Divide 5198 by -3. -5198/3 -260 divided by -2 130 Calculate -58 divided by -7. 58/7 What is 134 divided by 3? 134/3 What is 266 divided by 2? 133 -30 divided by -10 3 What is -25 divided by -5? 5 Calculate -744 divided by 8. -93 Calculate -3694 divided by 5. -3694/5 Divide 50 by 28. 25/14 -26 divided by 2 -13 1717 divided by -1 -1717 What is 267 divided by 267? 1 -2 divided by -199 2/199 -252 divided by 18 -14 -88 divided by 2 -44 Calculate 144 divided by -72. -2 376 divided by 1 376 56 divided by -48 -7/6 What is 750 divided by 750? 1 Calculate 1188 divided by 12. 99 Divide -1638 by -18. 91 What is -320 divided by 32? -10 1370 divided by -5 -274 Divide -4 by -286. 2/143 Calculate 73 divided by 5. 73/5 Calculate 66 divided by 33. 2 What is -1392 divided by 6? -232 Calculate 905 divided by -5. -181 Calculate 10928 divided by 4. 2732 Calculate 13 divided by -84. -13/84 Divide 4 by 97. 4/97 2166 divided by -6 -361 What is -26 divided by -26? 1 -20328 divided by 24 -847 8474 divided by -8474 -1 What is -10 divided by 9? -10/9 Calculate 7 divided by -283. -7/283 Divide -10 by -3. 10/3 Divide -84 by -1. 84 What is 328 divided by 82? 4 Divide 4120 by -5. -824 What is 14 divided by 958? 7/479 What is 1573 divided by 13? 121 Calculate -1376 divided by 1. -1376 What is 2 divided by -74? -1/37 -294 divided by -98 3 Divide -3548 by -2. 1774 -9800 divided by -350 28 Calculate 2 divided by -109. -2/109 What is -530 divided by -43? 530/43 Divide 1728 by 8. 216 Calculate -939 divided by -3. 313 Calculate -42 divided by 39. -14/13 Divide -4 by 960. -1/240 Divide -1 by -26. 1/26 Calculate -1 divided by -1920. 1/1920 Divide 624 by -39. -16 2 divided by 22 1/11 What is -496 divided by -248? 2 Calculate -1627 divided by 6. -1627/6 What is -5 divided by -516? 5/516 616 divided by -154 -4 Divide -20 by 793. -20/793 0 divided by 31 0 98470 divided by 5 19694 -238 divided by 119 -2 Calculate 23 divided by -90. -23/90 What is 45159 divided by -3? -15053 What is -8640 divided by -80? 108 What is -2 divided by 687? -2/687 Calculate 5075 divided by -5. -1015 What is 29382 divided by -6? -4897 What is 48 divided by 412? 12/103 Calculate -1908 divided by -477. 4 What is 623 divided by -89? -7 Calculate 1494 divided by -9. -166 Calculate -10145 divided by 2029. -5 111 divided by -6 -37/2 -1992 divided by -498 4 Calculate -3 divided by 11. -3/11 Calculate -767 divided
{ "pile_set_name": "DM Mathematics" }
f picking 1 m and 1 c when two letters picked without replacement from ttcczmmtctczmm. 16/91 Three letters picked without replacement from {x: 1, d: 3, o: 13}. Give prob of picking 2 o and 1 d. 117/340 Calculate prob of picking 3 p when three letters picked without replacement from {p: 10, h: 4, m: 6}. 2/19 Three letters picked without replacement from {h: 1, r: 4, y: 3, i: 1, a: 5, s: 1}. What is prob of picking 2 r and 1 s? 6/455 Calculate prob of picking 1 q and 1 e when two letters picked without replacement from {q: 2, f: 3, p: 1, r: 4, e: 4}. 8/91 Calculate prob of picking 1 v, 1 j, and 1 x when three letters picked without replacement from {x: 5, e: 1, v: 1, j: 2}. 5/42 What is prob of picking 1 z, 1 h, and 1 g when three letters picked without replacement from {t: 5, h: 3, g: 2, z: 7, q: 3}? 7/190 What is prob of picking 1 g and 1 x when two letters picked without replacement from sgx? 1/3 Two letters picked without replacement from taaa. What is prob of picking 1 a and 1 t? 1/2 What is prob of picking 1 f and 1 t when two letters picked without replacement from vtxvfvtaftxz? 1/11 Three letters picked without replacement from rrkrkrrrkr. What is prob of picking 1 k and 2 r? 21/40 What is prob of picking 1 y and 1 e when two letters picked without replacement from rrneynr? 1/21 What is prob of picking 1 l and 2 q when three letters picked without replacement from xlllxlqlllxwlwlq? 9/560 Four letters picked without replacement from {l: 3, f: 3, b: 7}. What is prob of picking 4 b? 7/143 What is prob of picking 1 f and 1 l when two letters picked without replacement from {l: 5, f: 2}? 10/21 Two letters picked without replacement from {b: 2, l: 2, h: 1, n: 6, p: 6}. What is prob of picking 2 n? 15/136 What is prob of picking 1 m and 3 z when four letters picked without replacement from {m: 5, z: 13}? 143/306 What is prob of picking 1 d and 1 x when two letters picked without replacement from {w: 4, d: 7, n: 4, u: 1, x: 1}? 7/136 Two letters picked without replacement from xxxxxxxxuu. Give prob of picking 2 x. 28/45 Calculate prob of picking 4 u when four letters picked without replacement from {u: 9, h: 2, g: 1, o: 2}. 18/143 Two letters picked without replacement from rsrrrsppppppp. Give prob of picking 1 r and 1 s. 4/39 Four letters picked without replacement from {l: 5, k: 4, i: 6}. What is prob of picking 3 l and 1 k? 8/273 Three letters picked without replacement from {y: 2, q: 2}. Give prob of picking 2 y and 1 q. 1/2 What is prob of picking 2 i, 1 n, and 1 u when four letters picked without replacement from jndiudnux? 0 Three letters picked without replacement from uuththwhutwthu. Give prob of picking 1 u and 2 w. 1/91 Calculate prob of picking 2 t when two letters picked without replacement from {t: 2, m: 1}. 1/3 Two letters picked without replacement from {r: 1, e: 3, v: 2, c: 1, l: 1, n: 4}. What is prob of picking 1 l and 1 e? 1/22 Calculate prob of picking 1 t and 3 v when four letters picked without replacement from votoooovvvo. 2/165 Three letters picked without replacement from {b: 2, k: 2, u: 2, j: 2}. Give prob of picking 1 k, 1 b, and 1 j. 1/7 Calculate prob of picking 1 l and 1 e when two letters picked without replacement from mldgeempmgeelgemlgmp. 3/38 What is prob of picking 2 m and 1 b when three letters picked without replacement from {n: 1, q: 7, s: 3, b: 5, m: 3}? 5/323 Two letters picked without replacement from qivvvwvgwi. What is prob of picking 1 w and 1 g? 2/45 Calculate prob of picking 2 f when two letters picked without replacement from lmmffflmfffmff. 4/13 What is prob of picking 1 i and 3 e when four letters picked without replacement from {e: 7, i: 4}? 14/33 Calculate prob of picking 3 b and 1 m when four letters picked without replacement from yyfbbhm. 0 Two letters picked without replacement from {g: 5, l: 6, p: 1, b: 3}. What is prob of picking 1 b and 1 g? 1/7 Calculate prob of picking 1 d and 2 k when three letters picked without replacement from {y: 2, k: 12, d: 3}. 99/340 Two letters picked without replacement from {w: 1, d: 1, i: 5, u: 1, z: 6, x: 2}. Give prob of picking 1 z and 1 x. 1/10 Four letters picked without replacement from auauuuuuuugauauaaua. Give prob of picking 3 a and 1 u. 385/3876 Two letters picked without replacement from qtttvtvqtttvhqhcx. Give prob of picking 2 t. 21/136 Calculate prob of picking 1 i, 2 k, and 1 b when four letters picked without replacement from bbbskbibkbbbbb. 10/1001 Two letters picked without replacement from kkkkkzkkzzkzok. What is prob of picking 2 k? 36/91 Three letters picked without replacement from {c: 14, d: 5}. Give prob of picking 1 c and 2 d. 140/969 Two letters picked without replacement from urrrrrrurrrrurr. What is prob of picking 1 u and 1 r? 12/35 What is prob of picking 2 a when two letters picked without replacement from maaama? 2/5 Three letters picked without replacement from frurfrfbffrrffruirfr. What is prob of picking 1 b and 2 u? 1/1140 Calculate prob of picking 2 k when two letters picked without replacement from kjdzzzdmkjkddmdzdzud. 3/190 What is prob of picking 1 a and 1 h when two letters picked without replacement from aawwawaaawawawh? 8/105 Two letters picked without replacement from {s: 1, g: 1, d: 3}. Give prob of picking 2 d. 3/10 Two letters picked without replacement from {s: 2, o: 1, p: 1}. Give prob of picking 1 s and 1 o. 1/3 Three letters picked without replacement from {u: 1, o: 3, r: 12}. Give prob of picking 3 r. 11/28 Two letters picked without replacement from ddyyyddd. What is prob of picking 1 y and 1 d? 15/28 Two letters picked without replacement from {x: 1, n: 2, t: 4, i: 1}. Give prob of picking 1 n and 1 i. 1/14 What is prob of picking 2 v when two letters picked without replacement from {v: 3, j: 1}? 1/2 What is prob of picking 2 i and 2 j when four letters picked without replacement from {i: 2, j: 5}? 2/7 What is prob of picking 3 i and 1 d when four letters picked without replacement from {q: 2, i: 4, d: 1, y: 1, j: 1}? 2/63 Two letters picked without replacement from {x: 3, u: 17}. What is prob of picking 1 x and 1 u? 51/190 Two letters picked without replacement from {t: 2, f: 7}. Give prob of picking 1 f and 1 t. 7/18 Four letters picked without replacement from keukceuekte. Give prob of picking 1 k, 1 u, 1 t, and 1 e. 4/55 Two letters picked without replacement from {c: 1, a: 2, t: 2}. Give prob of picking 1 c and 1 a. 1/5 Two letters picked without replacement from effejjeeffeeeef. What is prob of picking 1 e and 1 f? 8/21 What is prob of picking 1 q and 1 j when two letters picked without replacement from {q: 16, j: 2}? 32/153 Calculate prob of picking 1 p and 1 t when two letters picked without replacement from {c: 1, u: 3, t: 10, k: 2, p: 1}. 5/68 Calculate prob of picking 3 o when three letters picked without replacement from {o: 3, k: 4, s: 4}. 1/165 What is prob of picking 2 f when two letters picked without replacement from fzfffffzzzf? 21/55 Calculate prob of picking 1 j, 1 s, and 1 z when three letters picked without replacement from {w: 1, c: 3, s: 3, j: 2, z: 1, k: 1}. 2/55 Calculate prob of picking 1 y and 1 w when two letters picked without replacement from {l: 4, x: 2, n: 1, y: 1, w: 3}. 3/55 Calculate prob of picking 3 u when three letters picked without replacement from {v: 2, x: 3, u: 4, w: 1, e: 6}. 1/140 Three letters picked without replacement from {p: 1, g: 1, l: 1, n: 1, x: 1}. Give prob of picking 3 n. 0 Two letters picked without replacement from wwwwwsws. What is prob of picking 2 w? 15/28 Calculate prob of picking 4 j when four letters picked without replacement from {j: 1, y: 11}. 0 Two letters picked without replacement from semms. Give prob of picking 1 e and 1 s. 1/5 Three letters picked without replacement from {f: 3, l: 1, h: 1, s: 2}. What is prob of picking 1 l, 1 s, and 1 h? 2/35 Four letters picked without replacement from {r: 2, u: 2, x: 5}. Give prob of picking 3 x and 1 u. 10/63 Two letters picked without replacement from ququuu. Give prob of picking 2 u. 2/5 Calculate prob of picking 2 j when two letters picked without replacement from {j: 4, b: 5, z: 3}. 1/11 Calculate prob of picking 2 k when two letters picked without replacement from {k: 15, v: 5}. 21
{ "pile_set_name": "DM Mathematics" }
4*l - 92. What is the greatest common factor of 28 and z? 28 Let m be 4/((-40)/(-15) - 2). What is the greatest common divisor of 30 and m? 6 Suppose l - 3*z - 36 = 0, 2*l + 4*z - 92 = -0*z. What is the greatest common factor of l and 14? 14 Let o = 32 - 22. Let r(m) = -m**2 + 10*m + 11. Let k be r(o). Calculate the greatest common divisor of k and 77. 11 Let t be -3 - (-3 + 3 - -1). Let c(k) = -2*k - 1. Let l be c(t). What is the highest common factor of 28 and l? 7 Suppose 4*l - 4*h = 152, -2*l + 5*h = 2*h - 77. What is the greatest common factor of l and 37? 37 Suppose -2*c - d - 5 = -4*c, -5*c - 5*d = -5. Calculate the highest common divisor of c and 2. 2 Suppose 11 = 2*c - 187. What is the highest common factor of c and 11? 11 Suppose 2*q - q - 4*t = 108, -t = 3*q - 259. Calculate the highest common factor of q and 8. 8 Suppose 0*z = -z + 10. Let r be 1/((-1)/z)*-1. Calculate the greatest common factor of r and 110. 10 Let v be (-2)/(-10)*5 + 0 + 9. Calculate the greatest common factor of 110 and v. 10 Suppose -5*q - 15 = -5*w, -3*q = -w + 2 + 1. Suppose -2*p + 5*p - 825 = q. Suppose -v - p = -6*v. Calculate the highest common factor of v and 5. 5 Let u(j) = j**2 - 8*j + 2. Let h be u(8). Suppose 15 = 5*p - h*f - 38, -11 = -3*p - 4*f. Calculate the highest common factor of p and 45. 9 Let t(m) = -m**3 - 9*m**2 - 6*m - 2. Let d be t(-8). Suppose 3*n = -9 - 24. Let j = n - d. What is the greatest common divisor of 56 and j? 7 Suppose -2*n + 4*j = 0, 4*j - 5 = n - 3. Calculate the greatest common divisor of 34 and n. 2 Let o = -70 + 83. Let i be 93/7 + (-2)/7. Calculate the greatest common factor of i and o. 13 Suppose -5*v + 4*g + 9 + 127 = 0, 0 = -5*v - g + 116. What is the highest common divisor of 72 and v? 24 Suppose 5*l - x - 15 = 0, -3*l - 21 + 2 = 5*x. Suppose l*g + g = 30. Calculate the greatest common factor of g and 15. 5 Let g = -1 - 0. Let p be (96/20)/(g/(-5)). Calculate the highest common divisor of p and 6. 6 Let u be -1 + 1/(3/27). Let g be -4*18/(-10)*10. What is the greatest common divisor of g and u? 8 Let q be (-2)/8 + 282/8. Let f = -5 + 12. What is the highest common factor of f and q? 7 Let z be (-81)/(-12) + (-1)/(-4). Let s(t) = -6*t + 10. Let x be s(-3). Calculate the greatest common factor of x and z. 7 Suppose -2*q + 3*w = 3, 2*w - 3 = 2*q - 1. Suppose g + 0*g = q. Suppose g = 3*n + 6, y + 4*n = -1 - 0. Calculate the highest common divisor of y and 63. 7 Suppose 1320 = 2*x + 2*x. Suppose -2*m + 7 = -5*a + 153, 2*m - 4 = 0. What is the greatest common divisor of a and x? 30 Let i be 0 + -2 + -1 + -11. Let d be 2/i + (-150)/(-21). Calculate the greatest common divisor of 21 and d. 7 Let n(x) be the first derivative of -5*x**2/2 + 8*x + 1. Let b be n(-8). What is the highest common divisor of 6 and b? 6 Let x be 10*-4*6/(-16). What is the greatest common divisor of 12 and x? 3 Suppose 8*m + 3*n = 3*m - 1059, 635 = -3*m - 2*n. Let i = -129 - m. Calculate the highest common divisor of i and 12. 12 Let w be (-15)/((-1)/2*1). Let p be 189/(-5) - 15/75. Let i be p/(-5) - (-12)/w. Calculate the highest common factor of i and 40. 8 Let t = 116 - 106. Let o(s) = 2*s**3 + s**2 + 3*s - 1. Let d be o(2). What is the greatest common divisor of d and t? 5 Let a = 21 + -13. Suppose -q + 3*q = a. Calculate the highest common divisor of q and 32. 4 Let o(k) = 49*k - 18. Let q be o(13). Suppose 0 = 4*w - g - 615, 2*w = -2*w - 3*g + q. Calculate the highest common divisor of 14 and w. 14 Suppose 3*v - 139 = -4*m, -2*v - 1 = 3*m - 92. Suppose -5*b + v = -3*h, -2*b + 2*h + 42 = 6*h. What is the highest common factor of 143 and b? 13 Let t = 87 - 37. What is the greatest common divisor of 20 and t? 10 Suppose 2*x = -4 + 12. Suppose 0 = -5*j - x - 46. Let f be 4/j + (-47)/(-5). Calculate the greatest common factor of 81 and f. 9 Let n = 8 - -4. Let z = 11 - 9. Suppose -3*v - 3*x = -114, -3*v + 8*v = z*x + 176. Calculate the highest common divisor of n and v. 12 Let u(j) = -j**3 - j**2 + 11*j + 4. Let a be u(-5). Calculate the greatest common factor of a and 14. 7 Let h(d) = d + 6 + 5 + 23. Let z be h(0). What is the greatest common divisor of 51 and z? 17 Suppose 0 = s - 6*s - 3*d, s = d + 8. What is the greatest common factor of 12 and s? 3 Let c be ((-16)/(-12))/(2/36). Calculate the highest common factor of c and 12. 12 Suppose 5*p - h = 209 + 866, 0 = -3*h + 15. What is the greatest common factor of p and 27? 27 Let s = -205 + 113. Let f = 64 + s. Let y be ((-13)/(-2))/((-2)/f). What is the greatest common divisor of y and 13? 13 Let g be 1086/21 + (-4)/(-14). Let c = 346 + -333. What is the greatest common divisor of c and g? 13 Suppose 3*j - 41 = 40. What is the highest common factor of 3 and j? 3 Suppose 0 = 2*b - 6, 0 = a + 3*b + 45 - 362. Suppose -4*w + 128 = 2*f, -3*f - f + a = -5*w. Calculate the greatest common divisor of f and 48. 24 Suppose -x = 2*p + 193, -4*p + 78 = x + 273. Let l be x/(-9) - (-4)/(-18). What is the highest common factor of 7 and l? 7 Let s be 16/12*1*33. What is the greatest common divisor of s and 4? 4 Suppose -29 = -3*c + 61. Let m be (0 + -2)*(0 - 1). Suppose 0 = 2*i - u - 35, 0 = -0*i - 2*i - m*u + 50. Calculate the highest common divisor of c and i. 10 Let y(n) = n**2 + 13*n + 18. Let k be y(-13). What is the greatest common factor of k and 126? 18 Let y(v) = 122*v**2 + 39*v**2 - 6*v + 4*v + 3*v. Let f be y(-1). Calculate the greatest common factor of f and 20. 20 Let j(w) = -3*w - 14. Let u be j(-11). Let l = u + -8. Calculate the greatest common factor of l and 99. 11 Suppose -5*s - 14 = -54. Let r(f) = -7 + s*f - 2*f - f + f**2. Let b be r(-7). What is the greatest common divisor of b and 14? 7 Let o = 4 + -3. Suppose 17*b - m - 50 = 12*b, m = -5. Calculate the greatest common factor of b and o. 1 Suppose 3*t = -2*t - 155. Let x = -13 - t. What is the highest common divisor of 6 and x? 6 Let x = 1 - -1. Suppose -2*r + 52 = -4*c, -4*r + 0*c + 94 = x*c. Let m be (-70)/(-6) + 2/6. Calculate the greatest common divisor of r and m. 12 Let b(a) = 3*a**2 + 2*a - 2. Let y be b(-2). Suppose -t - 15 = -y*t. What is the highest common divisor of 2 and t? 1 Let k(g) = -g**3 + 3*g**2 + 4*g. Let q be k(4). Suppose 4*y - 20 = q, -2*y = 2*w + 2*y - 86. What is the highest common factor of w and 22? 11 Suppose 8 = 2*k + 2. Suppose -7*o + 16 = -k*o. Let a be o - (2 + (-2 - 3)). Calculate the highest common factor of 14 and a. 7 Let n be (-9 - -7) + (10 - -1). Let y = n + 3. Calculate the highest common factor of y and 60. 12 Let x(d) = -d**3 - d**2. Let h be x(-1). Suppose h = -u - 0 + 5. What is the greatest common factor of 25 and u? 5 Let v(h) be the second derivative of -h**2 - 13/3*h**3 + 0 - 4*h. Let d be v(-2). Calculate the highest common divisor of d and 20. 10 Let a = 10 + -5. Suppose a*i + 30 = -0*i. Let h be 2 + i/3*-17. Calculate the greatest common divisor of 9 and h. 9 Let j = -17 - -33. Calculate the highest common divisor of j and 80. 16 Suppose 0*q = q - 3. What is the highest common factor of q and 12? 3 Suppose 0 = -5*l + 13 + 42. Let h be 26*(43/2 - -2). Suppose -h = -5*w + 3*t, 0 = -w - 3*t + 115. Calculate the greatest common divisor of w and l. 11 Suppose -4*w + 50 = 5*x, -5*x + 2*x - 5*w + 30 = 0. Suppose 3*u - x - 5 = 0. Calculate the highest common divisor of 35 and u. 5 Let t = 221 - 32. Let i = t + -108. Let v be 2/4 - i/(-6). Calculate the greatest common factor of 98 and v. 14 Suppose -4*n - 5*f + 9 = 0, -n = 3*f - 1 - 10. Let x be 32/6*(-18)/n. Calculate the highest common factor of x and 8. 8 Suppose -2*d - 19 = 29. Let l = 43 + d. Let k(n) = n + 171. Let j be k(0). Calculate the highest common factor of l and j. 19 Suppose -4*a = -12, -2*j + 2*a - 4 = 2. Suppose -2*g = -z - 13 - j, g + 3*z = 17. Calculate the highest common divisor of 72 and g. 8 Let t(q) = 3*q**2 - q - 2. Let r be t(-3). What is the greatest common divisor of r and 308? 28 Suppose 0 = -2*b - 0*b + 172. Let u = b + -54. What is the highest common factor of u and 4? 4 Let h = -5 - -7. Suppose -w - 4 = -h*w. Let a be w/22 + (-282)/(-22). What is the greatest common divisor of 117 and a? 13 Let p be (-18)/(-6) + (-2 - -19). Calculate the highest common divisor of 140 and p. 20 Let b be (-2)/(-2) - (4 - 5). Supp
{ "pile_set_name": "DM Mathematics" }
t is 4963 (base 10) in base 3? 20210211 What is -3102201 (base 4) in base 10? -13473 Convert -21a (base 15) to base 10. -475 Convert 201 (base 8) to base 6. 333 11100111100001 (base 2) to base 5 433232 Convert -2552 (base 6) to base 10. -644 Convert -da1 (base 16) to base 10. -3489 -11000001000 (base 2) to base 13 -91a 1177 (base 8) to base 11 531 What is -558 (base 10) in base 16? -22e -100f (base 16) to base 10 -4111 -3103 (base 5) to base 6 -1511 2553 (base 7) to base 3 1022220 Convert 40a2 (base 11) to base 12. 3190 Convert -117 (base 15) to base 11. -205 3760 (base 11) to base 13 2305 Convert -1b1 (base 16) to base 6. -2001 -c0 (base 14) to base 16 -a8 Convert 1add (base 14) to base 15. 16b9 Convert 1037 (base 12) to base 3. 2102121 Convert 252560 (base 7) to base 16. b600 What is 8099 (base 10) in base 11? 60a3 19676 (base 12) to base 13 13c4a -2222 (base 7) to base 11 -668 What is -216 (base 12) in base 4? -10302 700 (base 10) to base 3 221221 Convert 7b99 (base 13) to base 14. 6484 2135 (base 6) to base 2 111101011 35626 (base 7) to base 9 13587 What is -143 (base 14) in base 9? -313 What is -53050 (base 8) in base 13? -a068 -120230 (base 4) to base 9 -2145 What is -25242 (base 6) in base 5? -110040 What is -3103011 (base 4) in base 14? -4ccd What is 10515 (base 7) in base 16? a62 What is -10000110011100 (base 2) in base 3? -102210200 Convert 10470 (base 10) to base 4. 2203212 Convert -5897 (base 11) to base 2. -1111000110001 What is 5542 (base 6) in base 14? 67c What is -423134 (base 5) in base 16? -3759 What is -10742 (base 9) in base 13? -3353 What is 1001101110000 (base 2) in base 15? 171b What is 229d (base 15) in base 2? 1110010110100 30fb (base 16) to base 11 946a 1111102210 (base 3) to base 14 aa58 Convert -222200 (base 4) to base 12. -16a8 What is 37 (base 15) in base 6? 124 What is 210022 (base 3) in base 7? 1451 Convert -31022 (base 5) to base 2. -11111011100 Convert -10934 (base 13) to base 6. -351245 255a0 (base 11) to base 7 211600 Convert 50 (base 14) to base 4. 1012 What is 405 (base 10) in base 4? 12111 Convert -2044 (base 7) to base 5. -10333 What is 874 (base 13) in base 9? 1877 What is -111210 (base 3) in base 7? -1041 Convert -100101100 (base 2) to base 10. -300 What is -359 (base 12) in base 10? -501 41124 (base 5) to base 9 3580 Convert -223344 (base 5) to base 3. -101221100 -1435 (base 8) to base 12 -565 312 (base 12) to base 16 1be -1085 (base 10) to base 15 -4c5 Convert -a41 (base 16) to base 15. -ba0 What is 1025 (base 6) in base 13? 14c 131 (base 4) to base 3 1002 What is 2551 (base 8) in base 7? 4016 Convert -2752 (base 9) to base 16. -818 -141704 (base 8) to base 13 -19a71 What is 232 (base 4) in base 2? 101110 What is -124110 (base 8) in base 6? -531240 6336 (base 9) to base 10 4650 -114 (base 10) to base 7 -222 -122 (base 16) to base 10 -290 Convert 498 (base 10) to base 8. 762 What is -4864 (base 12) in base 11? -6130 What is 2222 (base 5) in base 16? 138 2510 (base 9) to base 13 b10 Convert -813 (base 11) to base 14. -502 Convert 1441304 (base 5) to base 10. 30829 What is 220 (base 8) in base 12? 100 What is 0 (base 9) in base 12? 0 What is -10442 (base 7) in base 3? -10121022 What is 2b0 (base 16) in base 3? 221111 What is -498c (base 15) in base 12? -9089 Convert -52105 (base 7) to base 15. -3b9a Convert -101 (base 8) to base 3. -2102 What is -aa (base 11) in base 4? -1320 Convert -1863 (base 10) to base 12. -10b3 35c4 (base 13) to base 6 55100 -10011020011 (base 3) to base 5 -3442011 -14232 (base 6) to base 11 -1768 What is 261 (base 8) in base 11? 151 Convert -1210 (base 14) to base 11. -2404 Convert -15b (base 12) to base 2. -11010111 Convert 20801 (base 11) to base 16. 762b Convert -26772 (base 9) to base 13. -8336 539c (base 14) to base 12 843a What is 2644 (base 11) in base 7? 13006 What is b47 (base 12) in base 6? 11331 Convert 1109 (base 11) to base 10. 1461 Convert 26033 (base 8) to base 3. 120111012 Convert -46d (base 14) to base 10. -881 10304 (base 13) to base 11 1a92a What is -3b3 (base 15) in base 14? -443 Convert 21131 (base 5) to base 7. 4062 -2112102 (base 4) to base 9 -14166 -9d8 (base 14) to base 6 -13014 Convert 1122000 (base 3) to base 8. 2244 What is 54062 (base 7) in base 11? a0a1 What is 1210233 (base 4) in base 16? 192f What is -7081 (base 9) in base 11? -3986 Convert -788 (base 11) to base 15. -42d -15420 (base 7) to base 5 -114301 -11f37 (base 16) to base 12 -36673 -11341 (base 5) to base 10 -846 What is 6c4 (base 13) in base 14? 5dc Convert 3410 (base 6) to base 5. 11143 Convert 7523 (base 8) to base 14. 1603 -5015 (base 6) to base 16 -443 What is -31b1 (base 14) in base 6? -103423 What is -c8c (base 13) in base 12? -12a8 Convert 48785 (base 9) to base 16. 7fd0 Convert 24b (base 13) to base 4. 12101 Convert 102120112 (base 3) to base 9. 12515 404 (base 15) to base 13 547 What is 122022 (base 4) in base 2? 11010001010 -6225 (base 12) to base 11 -8034 Convert -a7cc (base 14) to base 8. -70500 Convert 1000110000001 (base 2) to base 11. 3404 -2102020 (base 3) to base 16 -6e1 Convert 42505 (base 7) to base 15. 31ca Convert 30256 (base 11) to base 5. 2403401 What is 141 (base 14) in base 15? 11d Convert -b7 (base 15) to base 5. -1142 Convert 4513 (base 12) to base 4. 1313133 Convert 11a (base 11) to base 13. ac What is -100001100001 (base 2) in base 11? -1680 Convert -18833 (base 10) to base 4. -10212101 What is -50c (base 13) in base 11? -70a 122b (base 12) to base 6 13255 What is -11330200 (base 4) in base 2? -101111100100000 Convert -fc7 (base 16) to base 9. -5477 What is -335b (base 14) in base 10? -8901 Convert -475 (base 14) to base 8. -1567 Convert -5750 (base 8) to base 12. -1920 What is 8835 (base 12) in base 15? 46b2 -3 (base 14) to base 13 -3 Convert 5247 (base 10) to base 12. 3053 What is 105641 (base 7) in base 16? 499d Convert 60 (base 16) to base 4. 1200 5534 (base 7) to base 3 2201112 Convert -4607 (base 12) to base 2. -1111001100111 What is 22626 (base 8) in base 10? 9622 1112 (base 6) to base 9 318 What is 31 (base 16) in base 15? 34 What is 230313 (base 4) in base 3? 10221100 2660 (base 16) to base 6 113252 10033 (base 4) to base 2 100001111 -11013330 (base 4) to base 13 -9726 Convert -193a (base 12) to base 11. -2341 What is 200121022 (base 3) in base 4? 3103322 Convert -16083 (base 10) to base 5. -1003313 7640 (base 11) to base 10 10087 What is -2542 (base 7) in base 15? -441 What is -4a7 (base 11) in base 10? -601 What is -4413123 (base 5) in base 9? -125266 What is -30115 (base 9) in base 7? -111443 40214 (base 6) to base 13 2521 10011002 (base 3) to base 5 33142 19b (base 16) to base 15 1c6 -11110101 (base 2) to base 6 -1045 -14232 (base 5) to base 7 -3322 What is 1101010001111 (base 2) in base 9? 10284 What is 11312123 (base 4) in base 14? 8a39 -1321244 (base 5) to base 12 -13381 122 (base 14) to base 9 271 What is 6763 (base 12) in base 9? 16633 Convert -697 (base 15) to base 10. -1492 Convert 102012 (base 4) to base 13. 6b1 What is 12002 (base 5) in base 2? 1101101101 -32010 (base 5) to base 13 -c7b Convert 2120112210 (base 3) to base 7. 300546 Convert 302322 (base 4) to base 12. 1a76 -1244 (base 11) to base 12 -b31 What is 1212211 (base 3) in base 14? 700 Convert 77595 (base 10) to base 16. 12f1b What is -361 (base 15) in base 12? -53a Convert -24413 (base 6) to base 14. -145b 732 (base 14) to base 10 1416 What is -23032 (base 4) in base 14? -394 What is -3201 (base 7) in base 5? -14003 Convert 101100010 (base 2) to base 3. 111010 -9bcd (base 14) to base 12 -13789 Convert -1034234 (base 5) to base 9. -26706 Convert 873b (base 12) to base 7. 61244 What is -ca (base 16) in base 7? -406 -124342 (base 5) to base 8 -11554 -13100 (base 8) to base 6 -42212 Convert -303112 (base 4) to base 9. -4451 6200 (base 7) to base 3 2221212 Convert 200 (base 4) to base 12. 28 -2111012 (base 3) to base 11 -13aa Convert 6561 (base 8) to base 15. 1046 Convert -39b5 (base 13) to base 2. -10000001000100 Convert 29ff (base 16) to base 15. 32bb Convert -1956 (base 14) to base 2. -1000111101000 Convert 248 (base 9) to base 15. db Convert -1124401 (base 6) to base 14. -17213 -122223 (base 4) to base 16 -6ab -2175 (base 8) to base 2 -10001111101 What is -18465 (base 11) in b
{ "pile_set_name": "DM Mathematics" }
-4*m + 7 = f, -4*m + 31 - 23 = 0 for f. -1 Solve 5*h - 27*w + 22*w = -20, 3*h = -3*w - 6 for h. -3 Solve 5*k + 153 = 158, 4*k = 5*s - 6 for s. 2 Solve -29 = 3*t + 42*n - 38*n, -3*t + 16 = -5*n for t. -3 Solve -10*o + 3*p - 7 + 50 = 0, -p + 3 = o for o. 4 Solve -768*f - 8 = -767*f, -5*f - 12 = 7*u for u. 4 Solve 16 = 4*o + 2*z, 39 = -3*o + 5*z + 77 for o. 6 Solve 61*y + 44 = 9*f + 62*y, -2*f + 11 = -y for f. 5 Solve -1 = a - 4*s, 0 = a + s - 2424 + 2430 for a. -5 Solve 10 = -2*b - g, 15*g - 36*g - 46 = b for b. -4 Solve 8*t - 5*t + 2*l = 1, t + 2 = -3*l for t. 1 Solve -5*l - 5*d = 45, -66*l = -59*l - 4*d + 19 for l. -5 Solve 990 - 1004 = h - t, 4*t = -3*h + 84 for h. 4 Solve 0 = -5*q + 5*m, 18*m = -3*q + 13*m + 24 for q. 3 Solve -4*j + 19 = 5*h, -2*h - 4*j + 31 - 33 = 0 for h. 7 Solve -15 = -2*m - a, 1 = 2*m - 2*a - 17 for m. 8 Solve y = -4*a + 28, a - 3 + 7 = -3*y for a. 8 Solve -11 = -3*r + 10*c, -15*c = -3*r - 10*c + 1 for r. -3 Solve -p + 5*q = -11, 3*p - 17 = 135*q - 136*q for p. 6 Solve -17*l + 5*p - 19 = -19*l, 5*p - 25 = -5*l for l. 2 Solve -4*s - 18 = -3*i - 49, -4*i + 3*s - 32 = 0 for i. -5 Solve 0 = -2*v + 242*c - 239*c - 23, -4*v = 2*c - 10 for v. -1 Solve 42*z - 44*z + 20 = 2*x, -5*x = 4*z - 47 for x. 7 Solve 0 = -4*s + 17*d - 22*d - 22, 3*s + 5 = 2*d for s. -3 Solve -3*r + 2*q = -6, -119 + 98 = -3*r - 3*q for r. 4 Solve 0 = 6*c - 2*k + 10, -21*c + 25*c = -k - 2 for c. -1 Solve 6*p - 44 = -2*s + p, 0 = -0*p + p - 5*p for s. 22 Solve -4*b + 2*b = 0, 4*l = -b + 20 for l. 5 Solve 1223*w - 1218*w - 70 = -3*j, 2*j = 10 for w. 11 Solve -256 = -24*s - 4*c + 212, c - 17 = -s for s. 20 Solve 1 = 3*c + 5*o, -5*c - 1 + 5 = -4*o - 10 for c. 2 Solve 0 = -3*i - 9, -5*p + i - 41 = -6*p - 3*p for p. 11 Solve 0 = -2*k - 2*w + 4, -7 = -34*k + 35*k + 4*w for k. 5 Solve 5*i - 3*n = 20, 64*i - 66*i + 27 = -5*n for i. 1 Solve 4*j + 0*p = p - 28, 4*j + 36 = -38*p + 41*p for j. -6 Solve 59*q - 4 = j + 57*q, -4 = 4*j - 4*q for j. 2 Solve 4*p - 66469*f + 4 = -66470*f, -5*f + 24 = -2*p for p. -2 Solve -4*z + 2*i = 8, -5*z + 5*i - 386 = -376 for z. -2 Solve 2563*u + 88 = 2566*u - 4*t, 10*u + 3*t + 17 = 0 for u. 4 Solve 2*d + 3*b = -24, 248*d - 9 = 243*d + 4*b for d. -3 Solve -g - 30*v = 22*v - 49*v - 10, v = -g for g. -5 Solve 3*n + 7*h + 9 = 0, 5*h + 34 = 4*n + 3 for n. 4 Solve -5*v + 3*b + 3 = 0, 2*v + 10 = -0*v + 4*b for v. 3 Solve 28*u + 2*m = 32*u + 8, 5*m = -4*u - 36 for u. -4 Solve 6*k = 2*k + 5*s - 29, -k - 3*s + 14 = 0 for k. -1 Solve -3*m - 89 = 13*c, -42 + 6 = 17*c - 13*c + 2*m for c. -5 Solve -25*w = -23*w - y - 41, -2*w + 2*y + 46 = 0 for w. 18 Solve w + 3*g + 1206 = 1215, 0 = -2*w + g + 32 for w. 15 Solve -106*g - 3*v - 5 = -105*g, 4*v + 16 = g for g. 4 Solve -2*n = 5*d + 31, 125 = 2*d - 4*n + 123 for d. -5 Solve i - 2*b - 3 = 0, 139*i - 136*i + 4*b = -21 for i. -3 Solve 2663*x = 2665*x + b + 10, -5*b = -4*x + 8 for x. -3 Solve -5*w + 23 = -t, -4*t - 29*w = -28*w - 13 for t. 2 Solve -5 = 30*l - 31*l, 2*v - 4*l = 4*v - 22 for v. 1 Solve -4*z + 279*j - 281*j + 16 = 0, 2*z = 3*j + 16 for z. 5 Solve 13 = -2*p + g, -3*p + 2*g = -154847 + 154866 for p. -7 Solve -3*k + 41*j + 104 = 35 - 145, -3*j = 15 for k. 3 Solve 32 = 4*p + 3*r, 0*p + 2*p = -3*r + 34 for p. -1 Solve 10*a - 590 = -3*f - 563, -10 = -4*a - 2*f for a. 3 Solve 166*m - 14 = 164*m + 5*n, 3*m + 2*n + 17 = 0 for m. -3 Solve -4*y + 1 = -3*t, -3*y + 2*t + 83 = 82 for y. 1 Solve 5*o - 303 = -5*z - 463, 4*o = -z - 44 for o. -4 Solve -2*m + 2*p = 48, -p = -52*m + 55*m - 32 for m. 2 Solve -858*z = 2*h - 860*z - 8, 4 = 2*h + 2*z for h. 3 Solve 3*p + 4*d = -8, -2*p - 4*d + 1386 = 1398 for p. 4 Solve -3*t = h + 13, -11*t - 3*h = -10*t - 9 for t. -6 Solve 10 = n + 5*f, -127*n + 131*n - f - 19 = 0 for n. 5 Solve 61*j + 5*k - 133 = 65*j, -85 = 5*j - 3*k for j. -2 Solve -2*b = 4*m + 415 - 383, 5*m = 33*b + 670 for m. 2 Solve 120*j - 24 = h - 3*h + 114*j, -j + 4 = -3*h for h. 0 Solve 357 = 3*t + 3*a + 354, 0 = t - a + 5 for t. -2 Solve 2*j - 24 + 8 = -x - 13, 6*j = 5*x - 31 for j. -1 Solve h = -5*c + 32, 4413*h - 4412*h - 8 = -c for h. 2 Solve -185*f + 10 = -2*x - 181*f, 17*x = f + 47 for x. 3 Solve -2*g + 3*r = -27, 2*r + 31 - 13 = 0 for g. 0 Solve 0 = -270*n + 266*n - 12, -4*l + 25 = -3*n for l. 4 Solve 0 = c - 8, -8378*b + 9 = -8373*b + 3*c for b. -3 Solve -2 - 2 = -286*c + 284*c + 4*k, c - 6 = -2*k for c. 4 Solve 273*r + 136 = 4*q + 271*r, 7*q - 238 = -r for q. 34 Solve -3*l - 39 = -4*t, -4*t + t = l - 13 for l. -5 Solve 7 = 2*i + 8*o - 7*o, 0 = -4*o + 4 for i. 3 Solve k + 5*b + 11 = 0, -2*b + 562 = 568 for k. 4 Solve 1963*d - 1958*d + 3*n = -32, 0 = d - 5*n + 12 for d. -7 Solve 160*d - 236 = 162*d + 26*g, d + 5*g + 46 = 0 for d. -1 Solve 92*s - 95*s + 5*u - 20 = 0, -6*s - 58 = -u for s. -10 Solve b + 2*l = 153 - 145, 12 = -b + 2*l for b. -2 Solve 0 = 2*n - 7*t - 21, 4*n = -t - 70 + 67 for n. 0 Solve 21 - 12 = -2*k + 3*l, 0 = 4*k + 7*l + 5 for k. -3 Solve -12*t + 57 = -3*g, 5*t + 802*g - 54 = 806*g for t. 2 Solve -38 = 5*f - 3*o, 0 = 3*f - f - 2*o + 12 for f. -10 Solve 12 = -1253*a + 1249*a + j, 11*a + 3*j = -79 for a. -5 Solve -18 = -u - 5*a, -6*u + 14*u - a - 62 = 0 for u. 8 Solve -2*f + a + 7 = -0*a, 0 = 91*f - 88*f + 2*a for f. 2 Solve -q + 3*g + 3 = 0, -q + 1 = -4*g - 4 for q. -3 Solve 5*w - 79 = -4*o, 5*w - 8421*o + 8420*o = -1 for w. 3 Solve 3*b + 5 = r, 4*r = -2*b - 9 + 1 for r. -1 Solve -10*i - 6*i + 15*i - 1 = -4*d, 0 = -2*d for i. -1 Solve 0 = -5*s - 10, c + 0*c = 2*s + 8 for c. 4 Solve 4*d = -n - 1, -215*n + 219*n = -5*d - 4 for d. 0 Solve -5*a + 4*i = 248 - 235, -28 = 5*a + i for a. -5 Solve -40*p + 34*p + 24 = -3*l, -p + l = -6 for p. 2 Solve 5*n + 2980*d - 2981*d - 55 = 0, n = -4*d - 10 for n. 10 Solve 0 = 2*o - 205*n + 209*n - 4, 0 = 3*o + 2*n - 6 for o. 2 Solve -16 = 2*u + 2*s, -2*u - 155*s - 16 = -156*s for u. -8 Solve -6689*m = -6691*m - 5*t + 51, 4*m = -2*t + 14 for m. -2 Solve 5*j - 2*y = 16, -26*y = -j - 30*y - 10 for j. 2 Solve -10*a = -4*g + 2, -21*g - 3*a - 3 = -23*g for g. 3 Solve -487*o + 489*o + 5*q = 4, 5*o + 13 = -q for o. -3 Solve 3*t + 2*m = 1, -89*t + 91*t - m + 4 = 0 for t. -1 Solve 4*k + 19 - 3 = 0, 12*n = 5*k - 124 for n. -12 Solve -66*g - 5 = -67*g, 3*y + 3 = 3*g for y. 4 Solve -3*h = 12, -4*m + 3*h - 36 = -0*m for m. -12 Solve 8 = 5*o + 4*d + 14, 0 = d + 4 for o. 2 Solve 3*z - 3*s + 18 = 0, -110*s - 26 = 4*z - 112*s for z. -7 Solve 4*r - 13*g + 14 = -15*g, 3*g + 15 = 0 for r. -1 Solve 0 = -3*s + z - 4 - 25, 2 = -s + 8*z for s. -10 Solve -5*k - 3*v + 22 = 0, 3*v + 18 = -615*k + 618*k for k. 5 Solve 105*p = 2*s + 102*p - 12, -19 = -5*s + 2*p for s. 3 Solve -5*u - 3*i = -30, -60 + 42 = -3*u + 3*i for u. 6 Solve f + 2*r - 8 = 0, -4*f + 26*r - 1 = 23*r for f. 2 Solve 4*x = 4*w + 56, 0 = 2*w - 4*x - 27 + 73 for w. -5 Solve -4*z + 2*q = 12, -62*q = -4*z - 70*q - 32 for z. -4 Solve 2*m = -5*q - 107, 5*m - 91*q - 79 = -87*q for m. -1 Solve -4*z - g - 6 = -5*z, -8*z + 25*g = 28*g - 4 for z. 2 Solve 3*u = -3*r + 33, -2*u + 81 = 4*r + 41 for r. 9 Solve -2*m + 3*j = -2, -25*m - 2*j - 8 - 4 = -29*m for m. 4 Solve -2*s - 24 = -3*i, 8*i - 83 = -15*s + 14*s for i. 10 Solve -5*r + 7 = -115*y + 113*y, 2*y = -5*r + 23 for r. 3 Solve 3*i + 19 = i - 3*x, 2*x = -6 for i. -5 Solve 13 = -3*g - 2*p + 17, -4*g - 5*p = -17 for g. -2 Solve -951*y + 4*o = -946*y - 10, -2*y + 3*o + 4 = 0 for y. 2 Solve -2*j - 17 = u, 125*j - 4*u - 36 = 129*j for j. -8 Solve -258*z = -4*p - 257*z + 16, 8 = 2*p - 4*z for p. 4 Solve 79*i - 81*i = 5*u + 22, 0 = i - 5*u - 19 for i. -1 Solve 1769*q + m + 27 = 1766*q, -17*m = 4*q + 36 for q. -9 Solve -4*z + 106*r - 110*r - 4 = 0, 3*r = -4*z + 2 for z. 5 Solve -4 = z - w, -3*z = -4*w - 1058 + 1074 for z. 0 Solve 0 = d + 9*v - 15*v + 25, 0 = -d + 2*v - 5 for d. 5 Solve 21 = -4*m + w, 3*m - 3102 = -w - 3116 for m. -5 Solve -9*x = -5*g - 14, 388 = -5*x + 4*g + 397 for x. 1 Solve 3*z = -5*z + 3*d + 36, 0 = -3*z + 5*d + 29 for z. 3 Solve w + 4*y + 136 = 125, 0 = -2*w - 2*y - 10 for w. -3 Solve 0*k + 5*i = 4*k, -6402*i = 2*k - 6400*i for k. 0 Solve v + d + 11 = 0, -23 = 2*v - 20*d + 23*d for v. -10 Solve 4*l = 4*t + 84, -83 + 3 = -3*l - 2*l for t. -5 Solve 4*u = -2*g + 26, -22*g + 24*g + 9*u = 51 for g. 3 Solve -2*c = 6*f - 14, f + 2*c + 0*c - 7 = -3*c for f. 2 Solve 3
{ "pile_set_name": "DM Mathematics" }
in base 10? -622 What is -278 (base 9) in base 11? -1a2 131441 (base 5) to base 11 3a3a What is 56ab (base 16) in base 10? 22187 -23d (base 15) to base 8 -774 456 (base 11) to base 10 545 What is -435 (base 10) in base 3? -121010 What is -1144 (base 8) in base 11? -507 563 (base 8) to base 12 26b Convert -32063 (base 7) to base 10. -7934 -16001 (base 8) to base 6 -53105 What is 39886 (base 10) in base 7? 224200 Convert -1012101 (base 3) to base 11. -725 -483 (base 10) to base 11 -3aa What is 1a87 (base 12) in base 7? 12352 -30276 (base 11) to base 3 -2020200211 102201 (base 3) to base 11 268 Convert -1002110022 (base 3) to base 11. -15151 What is -86b (base 16) in base 15? -98a Convert 1952 (base 15) to base 8. 12545 What is a5 (base 15) in base 14? b1 What is -2223 (base 7) in base 8? -1441 6836 (base 9) to base 11 3886 Convert -13610 (base 7) to base 3. -12010012 What is 2447 (base 12) in base 5? 112322 Convert -601 (base 8) to base 15. -1aa Convert -22 (base 13) to base 16. -1c What is 2523 (base 10) in base 5? 40043 Convert 637 (base 16) to base 5. 22331 Convert -6022 (base 10) to base 8. -13606 Convert 2133013 (base 4) to base 2. 10011111000111 4584 (base 14) to base 3 121120010 -242144 (base 7) to base 12 -21555 -3105 (base 8) to base 13 -966 -503 (base 12) to base 5 -10343 -2112200 (base 3) to base 7 -5256 -2212212200 (base 3) to base 13 -1cac1 What is -20413 (base 7) in base 10? -5008 Convert -828 (base 14) to base 10. -1604 What is 1203120 (base 4) in base 8? 14330 What is 45c (base 14) in base 7? 2345 8a55 (base 14) to base 5 1231422 -102212 (base 5) to base 16 -d68 9204 (base 10) to base 13 4260 3027 (base 14) to base 2 10000001001011 What is 20993 (base 12) in base 15? ca89 -1473a (base 11) to base 2 -101000101110111 What is 5c (base 15) in base 16? 57 -3176 (base 9) to base 7 -6546 46688 (base 9) to base 7 156626 Convert 121 (base 10) to base 5. 441 What is -103 (base 16) in base 15? -124 What is 7a1e (base 15) in base 7? 135344 -1019 (base 15) to base 7 -12624 103 (base 9) to base 13 66 Convert -15433 (base 7) to base 10. -4336 1945a (base 11) to base 10 27169 What is 280e (base 15) in base 13? 3b8a Convert -2062 (base 16) to base 14. -3042 What is 417 (base 15) in base 13? 55c Convert 62a (base 13) to base 10. 1050 What is 2209 (base 10) in base 2? 100010100001 1156 (base 10) to base 15 521 Convert -704a (base 11) to base 12. -550b What is -34022 (base 5) in base 12? -146b What is 312304 (base 5) in base 6? 115453 What is 736 (base 12) in base 13? 62a Convert 473 (base 9) to base 7. 1065 5948 (base 11) to base 13 3719 What is 130222 (base 4) in base 15? 824 -24624 (base 7) to base 6 -50010 Convert -121022 (base 3) to base 11. -370 What is 100110000111 (base 2) in base 5? 34224 Convert -111011000010 (base 2) to base 5. -110103 101333 (base 6) to base 9 12123 -37713 (base 8) to base 11 -112a7 Convert 41222 (base 5) to base 4. 221333 -2220 (base 4) to base 12 -120 110 (base 12) to base 16 9c What is 32323 (base 5) in base 15? 9c8 Convert 3657 (base 15) to base 10. 11557 What is -1105 (base 8) in base 9? -715 What is -311313 (base 4) in base 13? -1752 2255 (base 6) to base 2 1000011011 Convert -1101111 (base 2) to base 12. -93 What is -24310 (base 5) in base 7? -5223 -453 (base 8) to base 6 -1215 What is 100011001011 (base 2) in base 8? 4313 54351 (base 7) to base 4 3103320 What is -1433 (base 6) in base 14? -1d3 -198 (base 16) to base 10 -408 38a (base 15) to base 5 11210 642 (base 13) to base 5 13233 Convert -21110 (base 3) to base 9. -243 16077 (base 12) to base 7 156643 -2022200 (base 3) to base 5 -23232 Convert 17110 (base 11) to base 8. 57032 What is -3626 (base 8) in base 9? -2587 Convert -105400 (base 6) to base 16. -2328 What is -1017 (base 15) in base 9? -4584 What is 3111 (base 5) in base 11? 33a What is -21012 (base 3) in base 11? -167 What is 107 (base 13) in base 11? 150 What is 3099 (base 12) in base 9? 7240 Convert -312 (base 14) to base 15. -2a4 Convert 2066 (base 8) to base 7. 3100 -11 (base 11) to base 15 -c 3354 (base 8) to base 13 a64 Convert -15405 (base 6) to base 3. -10110112 2003211 (base 4) to base 10 8421 What is 6929 (base 15) in base 7? 122025 -82 (base 10) to base 4 -1102 What is 1212102 (base 3) in base 8? 2521 1000100000001 (base 2) to base 4 1010001 -81b (base 13) to base 12 -968 Convert -204 (base 6) to base 4. -1030 131 (base 6) to base 3 2001 What is -312113 (base 4) in base 16? -d97 Convert 333003 (base 5) to base 11. 8811 Convert -11330 (base 8) to base 16. -12d8 What is 333c (base 13) in base 9? 10723 What is 506 (base 13) in base 8? 1523 Convert 1025 (base 9) to base 8. 1360 42b0 (base 16) to base 14 6316 What is 121130 (base 4) in base 7? 4514 -4735 (base 8) to base 12 -1565 What is 283 (base 12) in base 5? 3022 Convert -d12 (base 14) to base 16. -a04 What is -1023102 (base 5) in base 2? -100001101111101 4609 (base 14) to base 10 12161 338 (base 12) to base 14 260 Convert 2d02 (base 15) to base 16. 25cd Convert 1079 (base 10) to base 11. 8a1 Convert 201101 (base 3) to base 7. 1345 Convert 21340 (base 5) to base 10. 1470 What is 100100010011 (base 2) in base 9? 3161 Convert -25244 (base 6) to base 2. -111010111100 -3402 (base 6) to base 15 -37e -13415 (base 6) to base 12 -126b 4501 (base 6) to base 16 415 1951 (base 12) to base 15 daa What is 437 (base 9) in base 7? 1021 What is -41656 (base 9) in base 4? -12231312 Convert 1a6b (base 12) to base 11. 2496 What is 9600 (base 12) in base 6? 204000 What is -111 (base 9) in base 2? -1011011 What is -91 (base 13) in base 2? -1110110 -1243243 (base 5) to base 13 -b3b6 What is -4b31 (base 12) in base 4? -2011111 What is -408 (base 10) in base 3? -120010 What is -1231133 (base 4) in base 9? -10545 -1241 (base 11) to base 16 -652 2a2 (base 12) to base 16 19a Convert -5365 (base 9) to base 16. -f6b Convert 2290 (base 15) to base 14. 295d Convert -538 (base 9) to base 2. -110111000 What is -1740 (base 9) in base 8? -2464 What is 1206 (base 10) in base 9? 1580 Convert -120 (base 15) to base 16. -ff Convert 12322102 (base 4) to base 16. 6e92 Convert d2 (base 16) to base 11. 181 -4545 (base 6) to base 15 -4b8 271 (base 14) to base 9 605 -1bb (base 15) to base 9 -485 Convert 1020200 (base 3) to base 5. 12114 Convert 145201 (base 7) to base 10. 28225 Convert 22e5 (base 16) to base 14. 3381 What is 5540 (base 6) in base 14? 67a 11303 (base 9) to base 8 16560 Convert 336 (base 12) to base 6. 2110 What is -8017 (base 14) in base 6? -245421 -156634 (base 7) to base 14 -b51b Convert -679 (base 15) to base 16. -5b8 13dd (base 15) to base 13 1c27 Convert -720 (base 12) to base 13. -615 Convert 10010000 (base 3) to base 6. 14300 Convert -6107 (base 8) to base 11. -23a8 15636 (base 7) to base 10 4437 Convert 2021211000 (base 3) to base 14. 125cb Convert -817 (base 14) to base 15. -70e Convert -2d (base 14) to base 11. -38 Convert -1116 (base 14) to base 3. -11001122 111704 (base 8) to base 6 451044 -1210303 (base 5) to base 9 -33866 Convert -4303 (base 6) to base 12. -693 Convert 2110220 (base 3) to base 11. 13a2 What is -3306 (base 14) in base 15? -2936 What is 1010101011010 (base 2) in base 7? 21636 -1011000011101000 (base 2) to base 16 -b0e8 What is -100110011 (base 2) in base 14? -17d -24624 (base 7) to base 8 -14526 -2100303 (base 4) to base 3 -110201020 What is 1a150 (base 11) in base 16? 6ddf Convert 41233 (base 6) to base 14. 2005 -30026 (base 7) to base 15 -2218 What is -270 (base 10) in base 5? -2040 Convert 3002 (base 4) to base 14. dc What is 102201121 (base 3) in base 6? 103324 Convert 34662 (base 7) to base 4. 2023101 170b (base 12) to base 4 222323 -676b (base 14) to base 7 -103164 What is -195 (base 11) in base 7? -441 -4054 (base 6) to base 7 -2422 11011100010 (base 2) to base 14 8dc -340 (base 7) to base 13 -106 What is -1b71 (base 13) in base 10? -4148 Convert 40f (base 16) to base 6. 4451 Convert -11010100 (base 2) to base 15. -e2 What is 10011000111100100 (base 2) in base 6? 1402312 668 (base 9) to base 11 459 -111 (base 13) to base 8 -267 Convert 26068 (base 11) to base 6. 444514 What is -3340 (base 6) in base 16? -30c -1b7 (base 14) to base 5 -2412 10001212011 (base 3) to base 12 2ab57 Convert -147670 (base 8) to base 12. -26934 -279 (base 1
{ "pile_set_name": "DM Mathematics" }
)*(t**2 - 2*t**2 - t**2) + 4*t**3 - 3*t**3 + t**3. 3*t**3 Expand (-4 + 4 - b)*(1 + 0 - 4)*(0 - 3 + 1)*(1 - 2 + 0). 6*b Expand (-c**3 + 5*c**3 - 5*c**3)*(0*c**2 - 3*c**2 - 3*c**2) + 2 - 2 - 3*c**5 + (6*c**4 - 3*c**4 - c**4)*(2*c - 4*c + c). c**5 Expand (-39 - w + 38 + 3*w)*(3*w + 0 - w - 1). 4*w**2 - 4*w + 1 Expand (-u**3 + 6*u**3 - 2*u**3)*(2*u**2 + 11*u**2 + 4*u**2). 51*u**5 Expand (1 - 4 - 2)*(q + 0 + 3 - 2). -5*q - 5 Expand (-3 + 4 - 3)*(5*z**5 - 4*z**5 + z**5 + (2*z - 2*z - 4*z**2)*(-4*z**3 + 2*z**3 + z**3)). -12*z**5 Expand (3 - y**2 + y - 3)*(19*y + 7*y**2 - 19*y) + 0 - y**4 + 0. -8*y**4 + 7*y**3 Expand (-3 - 4*c + 6*c - 7*c)*(-2*c + 0*c + c). 5*c**2 + 3*c Expand (-4*r - 4*r**3 + 4*r)*(-6 + 2 + 2) - 2*r + 4*r**3 + 2*r. 12*r**3 Expand (4*s + 0*s - s)*(-s + 0*s + 2*s)*(1 - 3 + 0 - 2*s**2). -6*s**4 - 6*s**2 Expand -1 - w + 1 + (-4*w - w + 4*w)*(-3 - 7 + 5). 4*w Expand (-5 + 4 + 0)*(-7*g + 4*g - g + 4). 4*g - 4 Expand (-3 - 3*t + 3)*(3 - 3 + 2*t)*(3 - 4*t - 3 + (-3*t + 2*t + 2*t)*(4 - 2 - 1)). 18*t**3 Expand -2*s**2 + s - s + (-1 + 0 + 3)*(s**2 + s**2 + s**2). 4*s**2 Expand 2*p**4 - 5*p**4 + 2*p**4 + (18*p**2 + 5*p**4 - 18*p**2)*(-1 - 3 + 3). -6*p**4 Expand (-1 - 1 + 0)*(3*m - 3*m + m) + 2*m + m - 2*m. -m Expand (13 - 13 - 7*k)*(k**2 - 3*k + 3*k)*(4*k + 4*k - 5*k). -21*k**4 Expand (s - 4*s + 2*s)*(-s + s - s) + (6*s - 263 + 263)*(3 - 3 - s). -5*s**2 Expand (-4*s + 4*s + 3*s)*(3*s + 0*s - 2*s)*(-3*s**2 - 3 + 3). -9*s**4 Expand (3 + 0 - 2)*(0*m**2 + 0*m**2 + 4*m**2) - 3*m**2 - m**2 + 5*m**2 + (-2 + 0 + 0)*(3*m**2 + 0*m**2 - 2*m**2). 3*m**2 Expand (x**3 + x**3 - 4*x**3)*(12*x + 2*x**2 - 7*x + 9*x). -4*x**5 - 28*x**4 Expand 6*r**5 + 0*r**5 - 2*r**5 + ((-4*r**2 + r**2 + 5*r**2)*(-2 + 4 + 0) + 3*r**2 - 2*r**2 - 2*r**2)*(6*r**3 + 6 - 6). 22*r**5 Expand -1 + 3*v**3 + v**2 + 1 + (v**3 - 2*v**3 + 4*v**3)*(4 - 1 - 5). -3*v**3 + v**2 Expand (0 - 1 - 2)*(-f**2 - 2*f**2 + 5*f**2 + f**2 - 5*f**2 + 5*f**2 + (2*f + f - 5*f)*(-2*f - 2 + 2) + 2*f**2 + 0*f**2 + 0*f**2). -27*f**2 Expand (b**2 + 4*b**2 - 3*b**2)*(3*b**2 - 4*b**2 - b**2) - b**3 + b**3 - 4*b**4 - 3*b**4 - 2*b**4 + 7*b**4. -6*b**4 Expand (-32 - 56 + 22)*(2*r + 2 - 2). -132*r Expand (-10*q - 7*q**3 + 10*q)*(3*q + q - 3*q)*(-3*q + 4*q + q) - 2*q**5 - q**5 + 4*q**5. -13*q**5 Expand (2*l**2 - 5*l**2 + l**2)*(-2*l + 0*l + 3*l) + (-l**2 + l**2 - 2*l**3)*(1 + 6 - 3 + (-1 + 0 + 0)*(1 + 2 - 4)). -12*l**3 Expand (p - 2*p - 5*p - 2)*(-p**4 - 2*p**4 + p**4). 12*p**5 + 4*p**4 Expand (-14*i + 29*i - 22*i - 2)*(-4 + 2 + 1). 7*i + 2 Expand (n**2 - 5*n**2 + 5*n**2 - 2*n**2 - 3*n**2 + 4*n**2 + (n - 3*n + 4*n)*(-3*n - n + 2*n) - n**2 - n**2 + n**2 + 0*n**2 + n**2 + n**2)*(-3 + 2 - 1 - 8*n). 24*n**3 + 6*n**2 Expand (3*x**2 - 3*x**2 - x**5 + (2*x - 9*x + 3*x)*(-3*x**4 - 2*x**3 + 2*x**3))*(0 - 2 - 2). -44*x**5 Expand (x**4 + x**4 + 0*x**4 + 3*x - 3*x - x**4 + (-2 + 2 + 2*x**3)*(2*x - 3 + 3) + x**4 - 3*x**4 + x**4)*(-37*x - 2 + 30*x + 3). -28*x**5 + 4*x**4 Expand 17*y + 13*y - 27*y + (-3 + 3 - 2)*(y + 0*y - 3*y). 7*y Expand (-4 + 1 + 1)*(-1 + 1 + l) + (3*l - 3*l - 2*l)*(2 + 2 - 3). -4*l Expand (5*u - u - 5*u)*(3 + 0 - 2)*(1 + 2 + 1)*(-3*u - 3*u + 3*u)*(2 + 0 - 3). -12*u**2 Expand (-r + 3*r - r + 2*r**2)*(2*r - 3*r + 2*r)*(-10*r - r + 12*r + 2*r**2). 4*r**5 + 4*r**4 + r**3 Expand (-2 + 2*c + 2)*(2*c - 4*c + c)*(2 - 2 + 2)*(c**2 + 5*c**2 - 4*c**2). -8*c**4 Expand -p**5 + 0*p**5 - p**5 + (0*p**2 + 4*p**2 - 5*p**2)*(p**3 - p**3 + p**3) - 51 + 0*p**5 + 11 + 2*p**5. -p**5 - 40 Expand (24 - 3*s - 24)*(-3*s - 2*s + 6*s)*(4*s - 3*s - 2*s). 3*s**3 Expand (3*a + 2 + 0 - 1)*(0*a - 4*a - 3*a). -21*a**2 - 7*a Expand (2*m - 2*m - m)*(-2*m**3 + 3*m**3 - 2*m**3) - 37*m**4 + 12*m**4 - 9*m**4. -33*m**4 Expand (21 - 19 + 4*s**2 + 10*s**2)*(2 + 2 - 5). -14*s**2 - 2 Expand 3*n**3 - 3*n**3 - n**3 + (2*n + n**2 - 2*n)*(3*n + 0*n - n) + 2 + n**3 - 2*n**3 + 3*n**3. 3*n**3 + 2 Expand 0*m - 5*m + 4*m + (2*m - 14*m + 8*m)*(7 + 0 - 2). -21*m Expand (-3 + 6 - 2)*(-7*i + 4*i + 2*i + (3*i - 5*i + 4*i)*(-1 - 4 + 4) + 0*i - i + 0*i). -4*i Expand (-f - 1 + 5*f - 5*f)*(15 + 5*f - 6 - 8). -5*f**2 - 6*f - 1 Expand (-2*s**2 + 5 - 5 + 4)*(5 - 2 - 2 + (2 - 3 - 2)*(-3 - 2 + 3)). -14*s**2 + 28 Expand (2 + 2 - 6)*(3*c**4 - 6*c**4 + 4*c**4) - 22*c**4 + 7*c**4 - 14*c**4. -31*c**4 Expand (-1 + 9 - 3)*(3 - 3 - 2*g)*(-3 + 1 + 1)*(2 - 6 + 3). -10*g Expand (0*p**4 + 7*p**4 + 0*p**4)*(3 - 1 - 3*p + 0*p + (-3*p + p + p)*(2 + 0 - 3)). -14*p**5 + 14*p**4 Expand 1 - 1 + b**2 + (1 - 1 - 1)*(2*b**2 - 4*b**2 - 12*b**2). 15*b**2 Expand ((13*a - 11*a + 60*a)*(a**3 + a - a) + (0*a**2 + 0*a**2 - a**2)*(a - a + 2*a**2))*(-2 - a + 2). -60*a**5 Expand (2*q - q + 6*q)*(-2 + 3 - 4). -21*q Expand (-4 + 4 - 3)*(3 - 2*u - 3)*(7 + 0 - 2). 30*u Expand ((0 - 2 + 4)*(f - 2*f + 6*f) + 2*f + f - f)*(-2 - 2 + 2). -24*f Expand 2*o**2 - 8*o**4 + 13*o**4 - 7*o**4 + (-3*o**3 + 3*o**3 - o**3)*(o + 0*o + 0*o). -3*o**4 + 2*o**2 Expand (-j**4 + j**4 + j**4)*(-3 + 1 + 0). -2*j**4 Expand (-2*r - 3 + 3 + (-1 + 1 - 2*r)*(0 - 1 + 2) - 2*r + 1 - 1)*(0*r + r + 0*r + 1). -6*r**2 - 6*r Expand (3 + 1 - 2)*(-2*z - 1 + 1) + (1 - 3 + 3)*(-2*z + z - z) + 2*z + 3*z - 4*z - 5*z + 0*z + 4*z. -6*z Expand (-1 + 4 - 4 - 2 + 1 + 2 + (4 - 4 + 1)*(3 - 1 + 0) + 0 - 1 - 1 + 0 + 0 + 1 - 6 + 2 + 2 - 4 + 0 + 3)*(o + 0*o + 2*o) + 4 - o - 4. -7*o Expand (p + 1 - 1)*(4*p**2 - p**2 - 2*p**2) + (-4 + 6 - 1)*(3*p - 5*p + 0*p)*(-4*p**2 + 6*p**2 - 4*p**2). 5*p**3 Expand (0*i**3 - 5*i**3 + 4*i**3 + i**3 - 3*i**3 + 0*i**3 + (-3*i + i**2 + 3*i)*(-3*i - 2*i + 3*i))*(3*i - 3*i + i). -5*i**4 Expand (-14 + 14 + 4*z)*(2 + 3 + 1) - z - 5 + 6 + 3*z. 26*z + 1 Expand (-p**2 + 3*p**2 + 0*p**2)*(-1 - 1 + 0)*(-2 + 2 + 2)*(-40 - 1 - 11). 416*p**2 Expand (-5 + 1 + 2)*(5*j - 21*j + 26*j - 1). -20*j + 2 Expand (r - 4*r + 2*r)*(0 - 2 - 1) + (-1 + 4 - 1)*(4*r + 5*r + 2*r). 25*r Expand (-3*r**2 - r**2 + 2*r**2)*(-6 + 8 - 12). 20*r**2 Expand 3*l**2 + 2*l**2 + 0*l**2 + (-3 + 3 + 2)*(2 - 2 + 3*l**2). 11*l**2 Expand (j**4 - 5*j**4 + 3*j**4)*(0 + 0 - 2*j) + (2*j**2 + 3*j - 3*j)*(0*j**3 - 2*j**3 - j**3). -4*j**5 Expand (5 - 5 - 2)*(-2 - 1 + 1)*(0*r**3 + 2*r**3 + 6*r**3). 32*r**3 Expand ((0 - 1 + 4)*(1 + 3 - 3) + 2 - 6 + 3 - 2 + 2 - 1)*(-3*l + 3*l + 2*l) + 5*l - 4*l - 5*l. -2*l Expand (3*g**2 - 4*g**2 + 2*g**2)*(12 - 9 - 5)*(-1 + 2 + 4*g + 0). -8*g**3 - 2*g**2 Expand l + 4 - 4 + (2*l + 0 + 0)*(3 + 0 - 1) + 0*l - 3*l + l. 3*l Expand (o**2 + 0*o**2 - 2*o**2)*(66 + 66 + 21 - 3). -150*o**2 Expand (-1 + 1 - 2*g + 1)*(4 - 4 - 4*g)*(-32 + 12*g**2 + 32). 96*g**4 - 48*g**3 Expand (0*o**3 + 0*o**3 - 2*o**3 + (-o + 2 - 2)*(-o**2 - 11*o**2 + 3*o**2))*(o + 3*o - 3*o). 7*o**4 Expand 8*r**3 - 6*r**3 + 5*r**3 + (r**2 + 2*r**2 - 5*r**2)*(4*r - 3*r - 3*r) + 2*r**3 + 2*r**3 - 2*r**3. 13*r**3 Expand (-14*v + 2*v + 11*v)*((-1 + 1 + 1)*(1 - 3 + 1) + 2 + 2 - 6). 3*v Expand (0*y + 2*y - 5*y)*(-4*y + 0*y + 3*y)*(-3*y**2 + 4*y**2 + 5*y**2). 18*y**4 Expand (0 + 1 + 0 + 3)*(5*c**2 + c**2 - 3*c**2). 12*c**2 Expand -c + c + 8*c**2 + (-3 + 4 + 1)*(-1 - 2*c**2 + 1) - 2*c**2 - c**2 + 5*c**2. 6*c**2 Expand (c + 6 - 1 - 1)*(-5*c + 3*c + 3*c). c**2 + 4*c Expand (-1 + k + 1)*(2 - 1 - 2)*(-14*k**3 + 34*k**3 + 18*k**3). -38*k**4 Expand ((-1 - 1 - 2)*(2 - 3 + 2) - 4 + 0 + 2)*(-2 + 3 - 3*g**2 + g**2). 12*g**2 - 6 Expand (6 + 4 - 7)*((0 + 4 - 3)*(-4*t + 4*t + t) + (-1 + 0 - 1)*(-1 + 1 + t) - 2*t + t - t). -9*t Expand -2*p**4 + 4*p**3 - 4*p**3 + (0*p - p + 2*p)*(0*p**3 - 2*p**3 + p**3) - 3*p**4 - 2*p**2 - 2*p**4 + 3*p**4 - p. -5*p**4 - 2*p**2 - p Expand (-1 + 1 - 2*u)*(0*u + 2*u - 5*u) - 5*u**2 - 3*u**2 + 4*u**2. 2*u**2 Expand (-9*w + 5*w**2 + 9*w)*(1 - 5 + 2*w + 2). 10*w**3 - 10*w**2 Expand 0*o**3 + 0*o**3 - 2*o**3 + (1 - 1 + 2*o**2)*(-3 + 3 - 5*o) + 0*o**2 - 2*o**3 + 0*o**2. -14*o**3 Expand ((-4*m**2 + 4*m**2 - m**4)*(-3 + 1 + 3) + 3*m**4 + m**4 - 16*m**4 + (1 - m - 1)*(m**3 - 4*m**3 + 2*m**3))*(2*m - m - 3*m). 24*m**5 Expand (4*g - 4*g - 2*g)*(0 + g + 0) + 19*g**2 + 0*g**2 - 9*g**2 - 2*g**2 + 5*g**2 - 5*g**2. 6*g**2 Expand (6*w - 2*w - 2*w)*(-2 + 2 - w) - 46*w**2 + 59*w - 27*w - 32*w. -48*w**2 Expand 0 + 2*q**2 + 0 + (0*q + q + 0*q)*(0*q - 3*q + q) + 2*q + q**2 - 2*q + 2*q**2 + 2*q**2 + 0*q**2. 5*q**2 Expand (5*s - 3*s - 1 - 2*s**3 + 5)*(2*s**2 - 2*s**2 - s**2). 2*s**5 - 2*s**3 - 4*s**2 Expand 1 + 0*n**2
{ "pile_set_name": "DM Mathematics" }
of 5? True Let r = -46 - -79. Does 10 divide (-4 - 1)*r/55 + 69? False Let g = 46 + -42. Suppose x - 45 = 4*c, 3*x = g*x - 3*c - 44. Is 4 a factor of x? False Let j(f) be the second derivative of -3*f**5/20 - f**4/6 - f**3 - 2*f**2 - 9*f. Let l be j(-3). Suppose -92 = -2*o + 4*p, 5*p - l + 282 = 5*o. Does 24 divide o? False Let g(z) = -2*z + 20. Let o be g(-14). Suppose -n - x = -25, -4*x - 28 - o = -4*n. Is n a multiple of 20? False Suppose 0 = 5*m + 4*m - 3708. Suppose -4*q - 83 - 1541 = -4*f, f - m = 3*q. Is 15 a factor of f? False Let p(z) = -z - 8. Let m be p(-11). Does 12 divide -43*(1 - (m - 1))? False Let d(z) = -6*z + 884. Is d(0) a multiple of 34? True Suppose -k = -p - 1516, -k - 3*p + 1519 = -5*p. Is 35 a factor of k? False Let t(n) = -58*n + 1566. Does 54 divide t(0)? True Suppose -17*q + 35918 = 1544. Does 72 divide q? False Suppose 0 = d - 5*m - 1875, -7*d + 3*m = -10*d + 5643. Is d a multiple of 10? True Is ((-294)/(-3))/(8/44) a multiple of 50? False Let j(o) = -4*o. Let c be j(5). Let d = 35 + c. Does 6 divide d? False Suppose 3*b - r + 75 = -3*r, 4*r - 125 = 5*b. Let c = 130 + b. Is 15 a factor of c? True Let j = -505 - -943. Does 14 divide j? False Let j(w) = 3*w**2 - 14*w - 47. Does 18 divide j(-13)? False Suppose 3*z - 2*z - 204 = -5*c, -5*c + 3*z + 188 = 0. Let o = c + -22. Does 6 divide o? True Let c = -26 - -69. Suppose -6*h + c = -5*h. Is h a multiple of 15? False Let w(k) = -8*k - 6 - k - 8*k**2 + 9*k**2. Let b be w(10). Suppose b*a + 57 = 3*g + a, 20 = -5*a. Is g a multiple of 8? False Suppose 3*c = 7*c - m - 300, -3*m = c - 62. Suppose 2*y - c - 24 = 0. Is 12 a factor of y? False Let m be 5 - 1/(0 + 1). Suppose -m*n = -0*n. Suppose 3*a + 26 - 140 = n. Is a a multiple of 19? True Let j = -9 + 12. Is 4 a factor of 27 - 3*j/(-9)? True Let j = 717 - 459. Suppose -b + 3*d = 2*b - j, 4*b - 326 = -2*d. Is b a multiple of 20? False Is 12*(-15)/((-90)/84) a multiple of 17? False Let c(z) be the third derivative of -2*z**5/15 + z**4/3 - z**3/2 + 6*z**2. Let i be c(5). Let u = i - -241. Is u a multiple of 26? True Let r(x) be the third derivative of x**5/30 - 5*x**4/12 + 4*x**3/3 + 4*x**2. Is 18 a factor of r(7)? True Suppose -2 = -k, 0 = -2*p + 3*k - 1370 + 4584. Is p a multiple of 46? True Suppose 5*b = 3*k + 2451, 2*b - 2*k - 736 = 242. Suppose -4*x - 2*j = -4*j - b, 4*x + j - 504 = 0. Does 25 divide x? True Let x(j) be the first derivative of j**4/2 - j**2 + 97*j + 18. Does 23 divide x(0)? False Let s = 44 + -44. Suppose -12 = -s*r - 3*r. Is r a multiple of 4? True Let p(a) = 6*a**2 - 10*a**3 + 9*a**3 + 7 + 2*a**3 - 4*a. Let n be p(-7). Let u = 19 + n. Is u a multiple of 2? False Suppose -1929 = -3*g - 10*r + 13*r, -2*g + 1285 = -r. Is 16 a factor of g? False Let z(p) = p**3 + 9*p**2 + 8*p - 2. Let t be z(-7). Let k = 12 - 12. Suppose -3*b - 4*x + t = k, 4*b + 0*x = 3*x + 95. Is b a multiple of 5? True Let b = 4126 - 1443. Is 18 a factor of b? False Is 7 a factor of (144/28)/(501/(-252) + 2)? False Let p = 8 + -8. Let a = p + 0. Suppose a = -27*i + 30*i - 84. Is i a multiple of 6? False Suppose 53821 - 469 = 18*b. Is b a multiple of 85? False Suppose 16*l = 17*l + 3*f - 329, -2*l = -5*f - 713. Is 8 a factor of l? True Let z(w) = w**3 - 13*w - 6. Suppose 4*v = 2*o + 1 + 9, 0 = o - 5. Does 9 divide z(v)? True Let i(t) be the second derivative of t**4/12 + 4*t**3/3 + 6*t**2 + 10*t. Is 9 a factor of i(-11)? True Let o(t) = 181*t**2 - 4*t - 1. Is o(1) a multiple of 11? True Is (6/(-4))/(36/(-19032)) a multiple of 61? True Let q = 17 - 26. Let s(o) = o + 9. Let n be s(q). Is -1 + n + (-69)/(-3) a multiple of 11? True Let o(k) = 6*k**2 + 4*k - 1. Let i be o(-2). Does 3 divide (-30)/(i/(-3) + 4)? True Let v = 27 - 19. Is 12 a factor of (v/14)/((-4)/(-238))? False Let z be 262/(-8) - 78/(-104). Let u = z - -82. Does 10 divide u? True Let d = -9 - -7. Does 11 divide (-1 + 0)*(d + -37)? False Let i(k) = -k**3 + 5*k**2 - 4*k - 1. Let b be i(3). Suppose 0 = -b*c - 2 + 7. Is (0 - c)*(0 + -42) a multiple of 14? True Let b(x) = -2*x + 17. Let q(n) = 5*n**2 + 3 + 19*n - 40*n - n**3 + 18*n. Let y be q(4). Is b(y) a multiple of 3? True Let m(u) = 84 + 40 - 5*u**3 + 105 + 4*u**3 + u**2 - 2*u. Is m(0) a multiple of 31? False Suppose b - 4*b + 774 = 0. Suppose -4*y + 4*d + 200 = 0, -d = -7*y + 2*y + b. Does 26 divide y? True Let r(h) be the first derivative of -h**3/3 + 9*h**2/2 + 10*h - 1. Let k(v) = -v**2 - 5*v + 3. Let y be k(-4). Is 12 a factor of r(y)? True Let c(k) = 85*k**3 + k**2 + k - 1. Let u = -17 + 18. Let o be c(u). Suppose -4*f = -154 - o. Is 20 a factor of f? True Let h(m) = -m**3 + 41*m**2 - 137*m + 2. Does 13 divide h(32)? False Suppose 42*k - 3515 = 5*k. Does 6 divide k? False Suppose -m = 3*g - 488, g - m - 62 = 102. Is g a multiple of 22? False Suppose -5 = -4*g - 5*a, 3*g + 0*a = a + 18. Suppose -g*z = 5*m - 35, -2*z + 4*z - 16 = -m. Is (z/(-3) - 1) + 48 a multiple of 11? True Let l(f) = 224*f**2 + 26*f + 24. Is l(-1) a multiple of 6? True Let g be (-2)/5 - (-6)/15. Suppose g = r - 5*y - 35, 0 = -3*r - y - 2*y + 159. Is r a multiple of 24? False Suppose 12 + 8 = 5*o. Let a = -10 + 28. Is (56/12)/(o/a) a multiple of 6? False Let t(d) = 138*d**2 - 4. Let s be t(-2). Let l = s - 218. Is 55 a factor of l? True Suppose -5*z = -3*j + 751, 4*j = 9*j + z - 1233. Does 13 divide j? True Suppose 14*d - 22 - 20 = 0. Suppose -d*w = 0, 3*j = 5*w - 0*w + 105. Does 35 divide j? True Suppose -2006 - 9577 = -9*b. Does 13 divide b? True Let r(h) be the second derivative of h**3/3 + 25*h**2/2 - 6*h. Is 35 a factor of r(6)? False Suppose -3*b + 3549 = 9*s - 663, -2*b = 4*s - 1872. Does 52 divide s? True Let r(m) = -6*m + 45. Is 28 a factor of r(-22)? False Suppose 5*g - 321 - 139 = 0. Suppose g = 7*d - 69. Is 12 a factor of d? False Let f(z) = z**2 + 9*z - 13. Suppose -41*n = -44*n - 36. Does 11 divide f(n)? False Suppose 4*x = 5*u - 154, 169 = 3*u + 5*x + 47. Suppose 0 = -4*v + u + 14. Does 4 divide v? True Suppose -7*v + 416 = -144. Let k be 2*-2*(-3 + 1). Suppose -k*y = -3*y - v. Does 8 divide y? True Suppose -17*o + 18*o = 5. Suppose 103 = -o*n + 308. Is n a multiple of 5? False Suppose -3*j + j - 372 = 0. Let b = 276 + j. Is 11 a factor of b? False Suppose -l = 2*i - 6 - 10, -14 = i - 5*l. Suppose 4*a + i = 2*a. Is 10 a factor of a/12 - (-484)/16? True Suppose -104*o + 98*o = -2538. Is 30 a factor of o? False Suppose x - 3*w = 2078, 12*w = 11*w. Is 36 a factor of x? False Is 92360/280 + (-1)/(-7) a multiple of 48? False Is 264 - ((-2)/19 - (-234)/57) a multiple of 5? True Let i(y) = -y**2 - 15*y - 18. Let c be i(-13). Suppose -5*t - 3*u + 0*u = -22, 2*t + 2*u = c. Suppose 9 = 3*q, -5*q + 24 = -t*r + 6*r. Is 3 a factor of r? True Let i(t) = -t**3 + 2*t - 15. Let s be i(0). Let n = -17 - s. Let r = n - -54. Does 13 divide r? True Suppose -13*g = -16*g + 9. Suppose -4*a = -g*a - 41. Does 18 divide a? False Let x(z) = -2*z**3 + 2*z**2 - 2*z + 2. Let t be x(2). Let a(p) = p**2 + 10*p + 2. Let s be a(t). Suppose 12 = s*j + 2*h, -3*j + 2*h + 12 = j. Does 4 divide j? True Let v(q) = 6*q - 3*q - 10*q + 5. Does 24 divide v(-13)? True Let l be 1 - (-13 + 3 - -1). Suppose 5*q + 145 = l*q. Is 18 a factor of q? False Let r = 1470 + -1022. Does 16 divide r? True Let q = -60 + 44. Let k = q + 67. Does 18 divide k? False Let y(t) = t**2 - 5*t + 1821. Is y(0) a multiple of 55? False Let r(u) = 3*u**2 - 48*u - 15. Is 39 a factor of r(-7)? True Let a = -104 + 101. Is 20 a factor of 5 - (-2 - a - 41)? False Suppose 5*k + 5*f = 312 - 57, k - 4*f = 31. Let u = 11 - k. Let j = 1 - u. Is 13 a factor of j? False Let d(o) = -6*o - 16. Let b(z) = -z**2 - 2*z - 1. Let x be b(-4). Let k be d(x). Suppose -11*l = -9*l - k. Does 6 divide l? False Let h(n) = -74*n + 230. Is h(0) a multiple of 4? False Suppose 0 = 5*s - 2*n - 1982 - 108, 0 = -n + 5. Suppose -525 = -5*x - i, -x + i + s = 3*x. Let r = x - 73. Does 8 divide r? True Let h(p) = 6*p**2 - 3*p + 2. Let q be h(-6). Let b = -108 + q. Suppose j = -2*w - 3 + b, w - j = 58. Is w a multiple of 11? False Does 51 divide (9 + -3 - 20)*(-51)/2? True Suppose 0 = -0*o - 4*o + 20. Suppose 44 = n - i - o, 5*i + 92 = 2*n. Does 34 divide n? False Suppose 1151 + 1349 = 5*l. Is 50 a factor of l? True Let s(i) = 5*i + 4. Is s(0
{ "pile_set_name": "DM Mathematics" }
and -2 unequal? True Let q be 867/(-171) - -2 - -3. Let v = -6/95 + q. Let u = 121/3 + -40. Is u less than v? False Suppose 5*r = 47 + 83. Which is bigger: 25 or r? r Let w = 1.36 - 1.5. Is 1/4 smaller than w? False Let z(a) be the third derivative of -a**5/60 + 11*a**4/24 - 11*a**3/6 - 4*a**2. Let f be z(10). Let u = -35/218 - 2/327. Is f > u? False Let u = -0.3 - -1.3. Let r = -14.2 + 14.18. Is u less than or equal to r? False Let m be 12/16 - 3/(-24)*26. Are m and 0 equal? False Let s = 6.4 + 57.6. Which is smaller: s or -1/4? -1/4 Let y be 1 + (-2 - -4) + -1. Suppose -y*j - 2 + 6 = 0. Let z = -17/9 + 14/9. Which is smaller: z or j? z Let b = 7 + -6. Which is greater: b or 2/17? b Suppose 3*r + 2 = 5. Let p = 6 - 3. Is p < r? False Let k be 14/2 - (25 + -23). Which is smaller: k or 9? k Suppose 2*r + 4*d = 88 - 228, 4*r + 270 = -3*d. Is r greater than -66? False Let l = -814 + 809.09. Let q = l + -0.09. Is q greater than -1? False Let h = -447/2747 + 6/67. Let v = 9/13814 + -2142277/1699122. Let y = h + v. Is y not equal to 0? True Let l(o) = o**2 - o - 2. Let v be l(3). Which is smaller: v or 3? 3 Let y be 105/(-28) - (-5 + 1). Let c be (-2 - -1) + 0 + 2. Which is smaller: c or y? y Suppose 0*p = -2*p + 2. Is -2 at most as big as p? True Let m be (-1)/2*-4*2. Let b(x) = m*x**2 - 3*x**2 + 0*x**2 + x. Let q be b(0). Is q > 1/4? False Let p = 2 + -4. Let l = p + 1.9. Let n = -3 - -4. Which is bigger: l or n? n Let i = 4 + -3. Is i less than or equal to 0? False Suppose 2*k - 1 = 5. Suppose 0 = -k*b + 1 - 10. Which is greater: b or 0? 0 Suppose -5*j + 0 = 3*o - 28, -2*j + 14 = 4*o. Which is bigger: o or -5/11? o Suppose -3*r = -4*x - 7, 5*x - r + 3 = -3. Let c = x - -1. Let a = 301/4 + -895/12. Is c equal to a? False Suppose -3*n + 2*v + 65 = 16, 3*v - 88 = -4*n. Is n less than or equal to 18? False Let t(u) = u**2 + u. Let x(g) = -g + 3. Let v be x(3). Let k be t(v). Let p be (1/2)/(22/(-8)). Which is greater: p or k? k Suppose 2 = 3*s + 5. Let d = 8.36 + -0.36. Which is smaller: d or s? s Suppose j = 3*j - 4. Suppose -z - j = 2. Let c be (80/9)/z + 2. Which is smaller: c or -1? -1 Let p = -98 - -979/10. Suppose w - 2*i = -0*w - 5, 3*i = 2*w + 7. Is p > w? False Let v be (-14)/28*2/4. Which is smaller: v or -2/7? -2/7 Let c = -303 + 911/3. Let y = -3 - -2. Let t be -1 - (1*-1 + y). Which is smaller: c or t? c Suppose -5*q = -3*t + 28, -2*q - 2*q - 20 = 0. Let f = -10 - -6. Let z be (-1)/((-2)/(f/7)). Does t = z? False Suppose w - 4*i + 6 = -w, 2*w = -2*i. Let p = 571 - 6277/11. Which is greater: w or p? p Let i(t) = -t - 1. Let k be i(-5). Suppose -3*n = 6, h = -k*h + 5*n + 15. Which is smaller: h or 3? h Let s be (2 + -2 - 0) + 0. Let i = s + -1. Which is smaller: 1 or i? i Let g(v) = 2*v**2 - 4*v + 4. Suppose -2*y = -0*y - 6. Let u be g(y). Let n be (-2)/5 + 54/u. Is n equal to 6? False Suppose 3*l = -3*r + 6*r + 3, -3*r - 13 = 2*l. Is 0 equal to l? False Let l be 16/40 - (-424)/(-10). Let r be 12/l + 10/(-14). Which is greater: r or 0? 0 Suppose -b + 9 - 6 = 0. Which is bigger: b or -4? b Suppose 6*y = -6 - 12. Is y not equal to -0.04? True Suppose 4*y - 5*b = 14, -4*b + 3*b = 4*y - 26. Which is greater: -2/3 or y? y Suppose t - 5 = 0, 10 = i + 4*t - 0. Let y(q) = q - 4. Let n be y(-6). Are i and n non-equal? False Let i(c) = -c**2 + 5*c + 4. Let w be i(6). Suppose 4*n = 2*a, 3*a - n + 3 = -2. Is a >= w? True Suppose 2*u = 3*u + 2. Is -1 equal to u? False Suppose -2 = -0*c + c. Which is greater: 10 or c? 10 Let k(m) = -m - 4. Suppose 0 = -4*q - 0 - 12. Let w be k(q). Is w != -2/3? True Let b be 138/33 - 8/44. Suppose 3*j = b*j - 3. Suppose 5*r - j = 6*r. Is r <= -3? True Let g be 10/(-4)*(-24)/(-70). Let u = g + 17/28. Let k = -21 + 21.1. Is u smaller than k? True Let d be (6/8)/(1 + -6 + 2). Is 1 equal to d? False Let m = 21 - 38. Let u be -2 + (72/m)/(-2). Which is greater: -0.2 or u? u Let i = -24 - -25.3. Let y = -0.6 - i. Let d = y + 2. Is d at least -4/7? True Let y = -2.04 + 0.04. Which is smaller: -2/9 or y? y Let i be (-2)/(-5) + 180/(-375). Is i greater than 0.1? False Let m = 64 - 317/5. Let z = -13 - -29. Let t be (-4)/z*-2*0. Is m > t? True Let z(d) = d + 7. Let c(k) = -2*k**3 + 3*k**2 - 2*k + 2. Let s be c(2). Let l be z(s). Which is bigger: 3 or l? 3 Let u = -0.57 - -0.47. Which is smaller: u or 0.8? u Let u = 2 + 5. Suppose -u*s + 2*s + 10 = 0. Suppose k - 2 = 1. Which is smaller: k or s? s Let m = 10 - 6. Suppose -m*d = d + 195. Let y = -157/4 - d. Is 3 at most as big as y? False Let z be -2 + -6*1/4 - -3. Let r be (-2)/10 - 7/15. Which is smaller: z or r? r Let f = -8 - -11. Suppose -6*c = -2*c - 8. Suppose 22 - c = 5*j. Do j and f have the same value? False Suppose -4*z = -2*x - 8, -4*x + 8*z - 4*z - 12 = 0. Let c(f) be the third derivative of f**4/12 + f**3/3 + f**2. Let d be c(-2). Is d at most x? True Let j be 152/57*(-1)/2. Let d(h) = 4*h**2 + 6*h - h**3 - 7 - 2*h**2 + 2*h**2. Let u be d(5). Is j greater than or equal to u? True Let z = 11 + -10. Let q be (-2)/30*z + 0. Are 0 and q nonequal? True Let u(y) = 1. Let i(p) = -p - 2. Let l(a) = 2*i(a) + 5*u(a). Let v be l(3). Let f be -1*v/(5/(-2)). Which is smaller: f or 0? f Let a be (-6)/(-27) - (-34)/90. Suppose -4*d = -l - 13, 4*l = 5*d - 0*d - 30. Which is bigger: a or d? d Let w = 6 + -3. Suppose w*o = -3 + 6. Let c be o - (-3)/(6/(-8)). Is -5/2 >= c? True Let f be 2/(-84)*8/(-2)*-30. Is f < -4? False Let h(g) = g**3 + 7*g**2 + g + 7. Let u be h(-7). Is 2 less than u? False Let c(n) be the second derivative of n**3/6 - 13*n**2 + n. Let l be c(8). Are -0.1 and l equal? False Let z = 0.2 + -1.2. Let t = z - -5. Let y = 4.1 - t. Is y greater than or equal to 0.2? False Let a = 0.65 + -0.7. Let j = 0.15 + a. Which is greater: -2 or j? j Suppose 2*c = 4*c. Suppose -h + 3*i + i + 16 = 0, -4*h - 2*i = 8. Do h and c have the same value? True Let n be ((-429)/(-968))/(3/14). Let l = 20/11 - n. Is 1 < l? False Let g(a) = -9*a**3 - a**2 + a + 1. Let c be g(-1). Suppose -2 = -0*u - 5*u + 4*i, 2*u - 4*i = c. Is 2/11 < u? False Let j be -2 + 7 + -2 + 0. Suppose -6*h - 31 = -h - 4*b, j*h - b = -13. Is -4 greater than or equal to h? False Let a = 53/5 + -11. Let z be 3/2*-2*1. Let g = z - -2. Are g and a equal? False Suppose y = -y. Let p be -10 + (-2 - -2) + y. Let u be (-30)/(-32)*(-4)/p. Is u greater than or equal to 1? False Let j = 7 + -9. Let b be ((-4)/8)/(j/(-8)). Let m = -5 - -2. Which is bigger: m or b? b Suppose 4*h = -5*o + 31, -4*o + h + 1 + 7 = 0. Is 3 at least o? True Suppose -3 = -3*p - 6. Let v be (-2)/10*p/2. Let f = v - -7/30. Which is greater: -0.5 or f? f Let t = -4 - -9. Let x = t + -5.01. Let i = 0.21 + x. Is i equal to 2? False Let v be -10 + 7 + (1 - 22/(-17)). Is 0 at most as big as v? False Let b = -31 - -30. Which is smaller: -8 or b? -8 Suppose -6*u = -9*u - 6. Which is smaller: -1 or u? u Let n be 35/3 - (-26)/(-39). Let o = -13 + n. Are 0 and o equal? False Suppose -4*a + 3*a = -8. Let l(p) = -p**3 + 9*p**2 - 7*p - 10. Let k be l(a). Is k at most as big as -2? True Let s = 20 - 20. Which is smaller: -5 or s? -5 Suppose d + 0 - 4 = 0. Suppose -4*u + 2*g - 5 = 23, -d*g - 61 = 5*u. Let x be (-1)/(u/6 + 2). Which is smaller: -0.2 or x? x Let z = -51/182 + -15/26. Suppose 9 = -2*c - 5. Let m(y) = -2*y - 14. Let g be m(c). Which is smaller: z or g? z Suppose -4*z - 424 = 60. Let a = 481/4 + z. Let r be (-9)/18 + 2/(-4) + 1. Is a less than or equal to r? True Let d = 490/3 + -163. Is -25 equal to d? False Let b be (75/5 - 4)/4. Which is smaller: 3 or b? b Let x = 3.1 + -4.1. Which is greater: 13 or x? 13 Suppose -3*f - m + 10 = -3*m, -42 = -5*f - 3*m. Is f < 1? False Suppose -3*t + 2 = -1, 0 = 2*i - 3*t - 13. Let d be 6/9*4/i. Is 0 bigger than d? False Let w(b) = b**3 + b**2 + b + 3. Let c = -4 - -4. Let y be w(c). Is y equal to -1? False Let r = 0.4 - -0.6. Let d = -0.09 + -2.91. Is d greater than r? False Let g = 52 + -75. Let k = g - -25.06. Let c = -0.06 + k. Do c and 0.2 have the same value? False Suppose -5*g - 7 = 3*s - 22, 0 = -g - 3*s + 15. Suppose 4*f - 1 + 9 = g. Which is bigger: 2/3 or f? 2/3 Let i = 79 - 80. Which is smaller: -2/223 or i? i Let a be 1/1*(-8 - -9). Is a bigger than 2/27? True Let l = 18 - 5. Suppose 3 = 5*f - b, 0 = -4*f -
{ "pile_set_name": "DM Mathematics" }
-4414 in increasing order. -4414, 0, 56 Put -4, -2/5, 4/107329, 1/4 in descending order. 1/4, 4/107329, -2/5, -4 Sort -1, 27, 4, 5597 in decreasing order. 5597, 27, 4, -1 Put -108, -7, 0, -1, -5 in ascending order. -108, -7, -5, -1, 0 Sort 5028, -5, 2, 7.1, 1. -5, 1, 2, 7.1, 5028 Put -170, -1, -511 in decreasing order. -1, -170, -511 Sort -2, -1, -7570. -7570, -2, -1 Sort -2, -7, 0.74, -21 in decreasing order. 0.74, -2, -7, -21 Sort 0.1, -6, 2, -54.22 in descending order. 2, 0.1, -6, -54.22 Put 1700, -17, 0 in decreasing order. 1700, 0, -17 Put -503, -3, 1, -0.02, 0, 0.2 in decreasing order. 1, 0.2, 0, -0.02, -3, -503 Sort 19, 277, -3 in ascending order. -3, 19, 277 Sort -2511, 2, 0, -5 in increasing order. -2511, -5, 0, 2 Sort -15, 2/21, -5, -80, 5 in descending order. 5, 2/21, -5, -15, -80 Sort 56/17, -2/11, 12 in descending order. 12, 56/17, -2/11 Sort 1, 937, 4, -4, -3, 2 in decreasing order. 937, 4, 2, 1, -3, -4 Sort -15, -2, -6538 in decreasing order. -2, -15, -6538 Put 3, 0.3, -2/5, 0.4, 1/2, -16 in descending order. 3, 1/2, 0.4, 0.3, -2/5, -16 Put -0.3, 7, -46, 0, 369 in decreasing order. 369, 7, 0, -0.3, -46 Sort 4, -5, -269, 119 in increasing order. -269, -5, 4, 119 Put -2/3, -3, -15/11, -0.01, -2/11 in ascending order. -3, -15/11, -2/3, -2/11, -0.01 Put -1/4, -0.003, -1, 0.1, 28 in decreasing order. 28, 0.1, -0.003, -1/4, -1 Sort 3/11, -2/7, -39, -2/3, 3.7 in ascending order. -39, -2/3, -2/7, 3/11, 3.7 Sort -48, 1, 39 in descending order. 39, 1, -48 Sort -1, -0.03, 5, -0.082 in descending order. 5, -0.03, -0.082, -1 Put 0, -71, -341 in decreasing order. 0, -71, -341 Sort 6198, -4, -1, 20 in descending order. 6198, 20, -1, -4 Put 4, -46, -1, -51 in ascending order. -51, -46, -1, 4 Sort -1415, -1, 2 in ascending order. -1415, -1, 2 Put 3, -82, 2, 361 in descending order. 361, 3, 2, -82 Sort 9, 95, -3 in decreasing order. 95, 9, -3 Put -3, -2, -6, 1739 in descending order. 1739, -2, -3, -6 Sort -0.15, -15262, -3. -15262, -3, -0.15 Put 671, -1, 7, -3 in increasing order. -3, -1, 7, 671 Sort 1353, 9, 2 in descending order. 1353, 9, 2 Sort 2, 4, 0, -38013 in decreasing order. 4, 2, 0, -38013 Sort -0.5, -60/11, 0.23, -0.2, -1/3 in ascending order. -60/11, -0.5, -1/3, -0.2, 0.23 Put -0.3, 5, 10902.7, -3/4 in ascending order. -3/4, -0.3, 5, 10902.7 Sort -4, 3, 7069, 2. -4, 2, 3, 7069 Put 344, -3, -16 in increasing order. -16, -3, 344 Put -1/3, -32.65, 2 in descending order. 2, -1/3, -32.65 Sort 401, -14, -1, 23 in descending order. 401, 23, -1, -14 Put 2545, 4, -3, 1, -2 in descending order. 2545, 4, 1, -2, -3 Sort 1152, -317, -1 in ascending order. -317, -1, 1152 Sort -18, 4, -7, 0.07 in descending order. 4, 0.07, -7, -18 Sort -1/8, -0.075, 129 in decreasing order. 129, -0.075, -1/8 Sort -5, 5, -223365. -223365, -5, 5 Put 1, 216, 3, -31 in decreasing order. 216, 3, 1, -31 Sort -524, -15, 11, 2. -524, -15, 2, 11 Put 34, -983, -0.1 in increasing order. -983, -0.1, 34 Put -2, -5, -3, 12, 3, 1 in ascending order. -5, -3, -2, 1, 3, 12 Put 95, -2/7, 333, 0.4 in ascending order. -2/7, 0.4, 95, 333 Sort -3, 16, 14, 3, 4, -131. -131, -3, 3, 4, 14, 16 Sort -339/214, -4, 6 in descending order. 6, -339/214, -4 Sort 49, 4, 5, -1, -11 in increasing order. -11, -1, 4, 5, 49 Put 223, -5, 334, 2 in decreasing order. 334, 223, 2, -5 Sort 1812, 1, 5, 9, -1 in ascending order. -1, 1, 5, 9, 1812 Sort -2/5, -2/3, -1/22, -4/7 in descending order. -1/22, -2/5, -4/7, -2/3 Sort -2, -85, -3, -5. -85, -5, -3, -2 Sort -7, 881, 6, -2 in ascending order. -7, -2, 6, 881 Sort 153, 0.3, 2, 0.15 in increasing order. 0.15, 0.3, 2, 153 Put -3/5, -2/9, 0, 0.06113, 3/8 in ascending order. -3/5, -2/9, 0, 0.06113, 3/8 Sort 4, 0.1, -0.05, 26, -80 in descending order. 26, 4, 0.1, -0.05, -80 Put -0.5, -2/13, 3/11, -0.3 in increasing order. -0.5, -0.3, -2/13, 3/11 Sort -4, -1.12, 3.4, -3, 1/8. -4, -3, -1.12, 1/8, 3.4 Put 147, 4, 195 in ascending order. 4, 147, 195 Sort 8, -19, 40, 3, 2. -19, 2, 3, 8, 40 Put 1/3, 2, -3/296, -11, -0.05 in decreasing order. 2, 1/3, -3/296, -0.05, -11 Put 2, -0.1, 1/4, 392, 1 in descending order. 392, 2, 1, 1/4, -0.1 Put -3, 1/11, -1/2, 7877 in descending order. 7877, 1/11, -1/2, -3 Sort -2, 327, 3.4 in decreasing order. 327, 3.4, -2 Sort -26, -97, 2, 3, -4, 21 in decreasing order. 21, 3, 2, -4, -26, -97 Put 16, 14, 1/3, -0.5, 0.1 in descending order. 16, 14, 1/3, 0.1, -0.5 Sort -1016, -211, 3. -1016, -211, 3 Sort -4, -2325, 63, 5, -1. -2325, -4, -1, 5, 63 Sort -1/131, -648, -43 in descending order. -1/131, -43, -648 Sort 25, -2161, 1, 2 in decreasing order. 25, 2, 1, -2161 Sort -3, -1787, 2, 4 in decreasing order. 4, 2, -3, -1787 Sort -29, 9, 4, 1. -29, 1, 4, 9 Put -17, 190, 1 in decreasing order. 190, 1, -17 Put 2, 6/5, 18, 75, -3 in ascending order. -3, 6/5, 2, 18, 75 Sort 1/10, 311, 0.7. 1/10, 0.7, 311 Put -543.08, -0.4, 5 in decreasing order. 5, -0.4, -543.08 Sort 402, -41, -26, 3, 2 in decreasing order. 402, 3, 2, -26, -41 Sort 1/16, -4, -2/5, -56 in decreasing order. 1/16, -2/5, -4, -56 Sort 0, 4, 30395 in descending order. 30395, 4, 0 Put 0, -0.3, 2/3, 5, -0.0487 in decreasing order. 5, 2/3, 0, -0.0487, -0.3 Sort 3, 6/25, 0.08, 5, -4, -11 in increasing order. -11, -4, 0.08, 6/25, 3, 5 Sort -3/2974, 0.4, -17 in descending order. 0.4, -3/2974, -17 Sort 1/26, -12, 20. -12, 1/26, 20 Sort 0, 7, 733 in descending order. 733, 7, 0 Sort 4, 0, -7, 5, 54 in decreasing order. 54, 5, 4, 0, -7 Sort -0.06, 0.45, 3/19, -8 in ascending order. -8, -0.06, 3/19, 0.45 Sort 0.5, 2/5, -81572, -0.04 in decreasing order. 0.5, 2/5, -0.04, -81572 Sort 153, -19, 0. -19, 0, 153 Sort 2, 0, -3, -18, -20 in descending order. 2, 0, -3, -18, -20 Put 1, 5360, 18 in descending order. 5360, 18, 1 Sort -3, -23, 1, 2, -9. -23, -9, -3, 1, 2 Sort 4/17, -24, -5, 3, 1 in ascending order. -24, -5, 4/17, 1, 3 Put -3, 6, -8, -6, 7, 2 in descending order. 7, 6, 2, -3, -6, -8 Sort -3.585, -0.5, 0. -3.585, -0.5, 0 Put 1, -118, 4, 3, 2 in ascending order. -118, 1, 2, 3, 4 Sort 6, -3772, 2, 12 in descending order. 12, 6, 2, -3772 Sort -232, 1, 10, -3, 0 in descending order. 10, 1, 0, -3, -232 Sort -4, 11/9, -1/4, 4 in decreasing order. 4, 11/9, -1/4, -4 Sort -16, -18, 5 in descending order. 5, -16, -18 Sort -31.2, -0.1, -238 in descending order. -0.1, -31.2, -238 Put -5, 0, -0.1102, 5, 1/4, -4 in descending order. 5, 1/4, 0, -0.1102, -4, -5 Sort 8, 0.208, 20/19, 0. 0, 0.208, 20/19, 8 Put -643, -4, 9, 0.5, 0.01 in descending order. 9, 0.5, 0.01, -4, -643 Put 370, 5, -1, -6, 3 in ascending order. -6, -1, 3, 5, 370 Put -4, 12, -3, 80, -19 in descending order. 80, 12, -3, -4, -19 Put 0.03, 4.1, -4 in ascending order. -4, 0.03, 4.1 Put 42, -13, 4, 2, -5 in descending order. 42, 4, 2, -5, -13 Sort 3, -1, 5, -4, -9, -5267 in ascending order. -5267, -9, -4, -1, 3, 5 Put 0.5, -12/7, 0.2, -6.34 in decreasing order. 0.5, 0.2, -12/7, -6.34 Put -6, -1/496, -2, -5 in increasing order. -6, -5, -2, -1/496 Sort 2, 1, -5, 5, -445. -445, -5, 1, 2, 5 Put -12100, -2/11, -4/5 in increasing order. -12100, -4/5, -2/11 Put 5, -47, -3, -4, 15 in descending order. 15, 5, -3, -4, -47 Sort 4, 2/11, 1/4, 0.099045 in descending order. 4, 1/4, 2/11, 0.099045 Put 4, -24, 45, -4 in descending order. 45, 4, -4, -24 Sort 5/4, 34, -3, 31 in descending order. 34, 31, 5/4, -3 Sort 1, -6, 5197 in decreasing order. 5197, 1, -6 Sort -2, -51, -4, -106, 4, 1 in decreasing order. 4, 1, -2, -4, -51, -106 Put -8926, 5, -4, 6 in descending order. 6, 5, -4, -8926 Put 5, 4, 16360 in ascending order. 4, 5, 16360 Put 6/61, 385, -1 in increasing order. -1, 6/61, 385 Sort -70, 6, 0, -4, 3, 7 in ascending order. -70, -4, 0, 3, 6, 7 Sort 0, -56, 5, 37, -2 in increasing order. -56, -2, 0, 5, 37 Sort 2, -0.074, -1/207 in descending order. 2, -1/207, -0.074 Sort -4/11, -8117, -4. -8117, -4, -4/11 Sort -2/21, 3/2, -0.4, -88/5, 2/21 in descending order. 3/2, 2/21, -2/21, -0.4, -88/5 Put -5, 2/549, -2/29, -1/3 in increasing order. -5, -1/3, -2/29, 2/549 Sort -0.2, 60512, 3, -1, -3/2. -3/2, -1, -0.2, 3, 60512 Put 2, -4, -132, 17 in ascending order. -132, -4, 2, 17 Sort -1, -376, 4, -18, 6. -376, -18, -1, 4, 6 Sort 2/9, -4, 0, 2/3, -105, 0.5 in decreasing order. 2/3, 0.5, 2/9, 0, -4, -105 Put -16, -3, -7, 56 in ascending order. -16, -7, -3, 56 Sort 2, -7
{ "pile_set_name": "DM Mathematics" }
850*a. -6*a**2 Collect the terms in -233 + 233 + 8*z. 8*z Collect the terms in 5*t**2 - 53*t + 0*t**2 - 48*t + 11*t**3 + 101*t. 11*t**3 + 5*t**2 Collect the terms in 5 + 73 + 78 - 17*q**3 - 156. -17*q**3 Collect the terms in 2716494 + 5*o - 1358248 - 1358246. 5*o Collect the terms in 3502*r - 7 - 1754*r + 7 - 1759*r. -11*r Collect the terms in 75*m**3 + 227*m**3 - 698*m + 151*m**3 + 698*m. 453*m**3 Collect the terms in -6593 - 23*n**2 + 24*n**2 + 3294 + 3299. n**2 Collect the terms in 1310*r**2 - 1573*r**2 + 2*r + 0*r. -263*r**2 + 2*r Collect the terms in 205*q - 110*q + 2 + 21*q**2 - 2 - 96*q. 21*q**2 - q Collect the terms in -114*t + 248 - 457 + 209. -114*t Collect the terms in -6*v**3 + 0*v**3 + 34*v**2 - 34*v**2. -6*v**3 Collect the terms in -324*r + 26*r + 5 + 10*r. -288*r + 5 Collect the terms in 1 + 1 - 3*r - 5*r - 170*r**3 + 3*r. -170*r**3 - 5*r + 2 Collect the terms in 27*r**2 - 28 + 15 - 33*r**2 - 7*r + 13. -6*r**2 - 7*r Collect the terms in -111*u**2 - 99*u**2 + 302*u**2 - 108*u**2. -16*u**2 Collect the terms in 6*q - 7*q - 182*q**2 - 38*q**2 - 1 - 70*q**2. -290*q**2 - q - 1 Collect the terms in 368*c**2 - 1146*c**2 - 11 + 400*c**2 + 376*c**2. -2*c**2 - 11 Collect the terms in -186*z + 182*z + z. -3*z Collect the terms in -5*d**2 + 3*d**2 - 4150*d + 4*d**2 - 4*d**2. -2*d**2 - 4150*d Collect the terms in -4*k + 15*k + 8*k + 0*k. 19*k Collect the terms in -2 + 2 - 234023*f**2 + 234637*f**2. 614*f**2 Collect the terms in 67592*w**2 + 87518*w**2 - 3301*w**2. 151809*w**2 Collect the terms in -10*c**2 - 57 - 3*c**2 + 60 + 2*c**2. -11*c**2 + 3 Collect the terms in a + 1128 + 15*a + 216. 16*a + 1344 Collect the terms in 11619*o**3 - 5756*o**3 - 7322*o**3. -1459*o**3 Collect the terms in 739*p**2 - 972*p**2 + 2*p - 2*p. -233*p**2 Collect the terms in -20*q + 84*q**2 + 20*q - 10*q**3 - 86*q**2. -10*q**3 - 2*q**2 Collect the terms in -1427 + 714 - 547*r**2 + 713. -547*r**2 Collect the terms in 50*y + 5 + 1 + 0*y + 178*y - 5. 228*y + 1 Collect the terms in -51*f**2 - 139*f**3 + 69*f**3 + 92*f**3 + 51*f**2. 22*f**3 Collect the terms in -33 + h + 33 - h**3 - 2766*h**2. -h**3 - 2766*h**2 + h Collect the terms in -w + 0*w**3 - 7*w - 2*w**3 + 4*w**3 + 6*w**3. 8*w**3 - 8*w Collect the terms in 83*c**2 - 58*c**2 + 87*c - 28*c**2. -3*c**2 + 87*c Collect the terms in -39386*r + 78684*r - 39360*r. -62*r Collect the terms in -313*f + 90*f + 4*f**2 + 104*f + 119*f. 4*f**2 Collect the terms in -2643*v + 55 - 55 + 1323*v + 1322*v. 2*v Collect the terms in -7*v + 2219 + 2141 - 4360 - 16*v. -23*v Collect the terms in 180*p - 57*p - 110*p**2 - 123*p. -110*p**2 Collect the terms in 638184 + 0*z**2 - z**2 - 638197. -z**2 - 13 Collect the terms in -38 - 6*j + 123 - 85. -6*j Collect the terms in -52 - 49 + 101 - 5637*t. -5637*t Collect the terms in -20886002 + 20886002 - 35*b**2. -35*b**2 Collect the terms in -n**2 + 60123*n**3 - 120171*n**3 + 60055*n**3. 7*n**3 - n**2 Collect the terms in -111*h**3 + 62*h**3 + 108*h**3. 59*h**3 Collect the terms in 6*u + 2*u - 4*u - 6*u**2 + 42. -6*u**2 + 4*u + 42 Collect the terms in 36131*c**2 - 4039*c**2 + 17265*c**2. 49357*c**2 Collect the terms in -159*g - 334*g - 3 + 6 - 3. -493*g Collect the terms in -24*t - 2*t + 21*t - t - 6*t + 9*t. -3*t Collect the terms in -4045 - 3155 + 3*b + 1696 - 3235. 3*b - 8739 Collect the terms in -7*o + 23*o - 2 + 21*o + 2. 37*o Collect the terms in -120 - o**2 + 3*o - 16 + o. -o**2 + 4*o - 136 Collect the terms in 606*f**2 - 42731*f**3 - 606*f**2 + 0*f + 0*f + 42733*f**3. 2*f**3 Collect the terms in -22895*r**3 - 8*r**2 + 2*r**2 + 8*r**2. -22895*r**3 + 2*r**2 Collect the terms in 2039*a**2 - 661*a**2 - 675*a**2 - 698*a**2. 5*a**2 Collect the terms in 72*m**2 + 68*m**2 + 69*m**2 - 282*m**2 + 76*m**2. 3*m**2 Collect the terms in 8*r**2 + 8*r**2 - 109*r**2. -93*r**2 Collect the terms in -5 + 5977*t - 419*t + 878*t + 5. 6436*t Collect the terms in 2 - 4524*o**2 + 44017*o**2 - 1. 39493*o**2 + 1 Collect the terms in 71*m - 64 - 73*m + 64. -2*m Collect the terms in 3*u**3 + 3112768*u**2 - 3112768*u**2. 3*u**3 Collect the terms in 937*w - 1 + 1 + 1221*w - 2161*w. -3*w Collect the terms in 67386 + 3*u - 67386. 3*u Collect the terms in 2 - 91*t**2 - 85*t**2 + 215*t**2 - 45*t**2 - 2. -6*t**2 Collect the terms in -42*h**3 - 41*h**3 + 36*h**3. -47*h**3 Collect the terms in -18 - 3*k**3 - 4 + 25 - 5 + 2. -3*k**3 Collect the terms in 3747754*k**3 - 2*k + k - 3747741*k**3 + 4*k - 3*k. 13*k**3 Collect the terms in 15142*j**3 + 39*j**2 - 39*j**2. 15142*j**3 Collect the terms in -h**3 - 26*h + 116*h - 63*h - 27*h. -h**3 Collect the terms in -51086*y + 25507*y + 25581*y. 2*y Collect the terms in 434838 - 869719 + 434881 + 2*v. 2*v Collect the terms in 29*r**2 + 33*r**2 + 3*r**2 - 8*r**2. 57*r**2 Collect the terms in -4950 + 4950 - 33*c**2. -33*c**2 Collect the terms in 57*d**2 - 160*d**2 - 120*d**2. -223*d**2 Collect the terms in -2*b**2 - 699375577*b + 699375577*b. -2*b**2 Collect the terms in -15609*a**3 - 7 - 11 + 18. -15609*a**3 Collect the terms in -521*a**2 + 975*a**2 - 505*a**2. -51*a**2 Collect the terms in -8*c**2 + 0*c**2 + 13*c**2 - 10*c**2 - 2. -5*c**2 - 2 Collect the terms in i**2 - i**3 + 160 + i**2 + 3*i**3. 2*i**3 + 2*i**2 + 160 Collect the terms in -b**2 + 93 - 263 + 111 + 68. -b**2 + 9 Collect the terms in 110 + 95*n**2 - 110. 95*n**2 Collect the terms in 983*b + 1630*b - 305*b - 452*b. 1856*b Collect the terms in -818 + 66*n**2 + 818 + 0*n + 0*n. 66*n**2 Collect the terms in 54*r - 62*r + 17*r + 14*r. 23*r Collect the terms in 3 + 0 + 56*d**3 - 114*d**3 + 116*d**3. 58*d**3 + 3 Collect the terms in 22*u**3 - 62*u**3 + 46*u**3. 6*u**3 Collect the terms in u - 207 - 197 + 399 - 4*u. -3*u - 5 Collect the terms in 6876*x**3 - 2274*x**3 - 2302*x**3 - 2306*x**3. -6*x**3 Collect the terms in 92*p**3 - 166*p**3 + 46*p**3 + 38*p**3. 10*p**3 Collect the terms in -61*n - 129*n**2 + 2 + 35*n + 26*n. -129*n**2 + 2 Collect the terms in 118*w - 32*w + 78*w - 19*w + 229*w. 374*w Collect the terms in -88 - 128 - 2*g - 2*g + 179 + 3*g. -g - 37 Collect the terms in 13*n**2 - 9*n**2 + 33*n**2 - 60*n**2 + 15*n**2 + 12*n**2. 4*n**2 Collect the terms in 137*r + 237*r + 1073*r. 1447*r Collect the terms in w - 420*w**2 + 428*w**2 + w. 8*w**2 + 2*w Collect the terms in 3367 + 35*w + 3360 - 6727 + 37*w - 83*w. -11*w Collect the terms in -8*j - 87*j**2 + 487*j**2 - 2*j + 10*j. 400*j**2 Collect the terms in -598*z - 3247*z + 0 + 0. -3845*z Collect the terms in -o + 99 + 226 + 566 + 429. -o + 1320 Collect the terms in 7354297 + 20*d**3 - 7354297. 20*d**3 Collect the terms in -2 - 1403*z**2 + 8 + 12173*z**2 - 5. 10770*z**2 + 1 Collect the terms in -6130*d + 6130*d - 22*d**2 - 21*d**2 + 50*d**2. 7*d**2 Collect the terms in 346*a**2 + 65 + 76 - 141. 346*a**2 Collect the terms in -91 + 303 - 215 - 3*p. -3*p - 3 Collect the terms in -7*q**2 - 29*q**3 + 4 - 1 - 3. -29*q**3 - 7*q**2 Collect the terms in -113867*f + 69*f**2 + 113867*f. 69*f**2 Collect the terms in 562 + 83*r - 562 - 160*r + 83*r. 6*r Collect the terms in 2150*b**3 + 9092*b**2 - 713*b**3 - 9092*b**2 - 718*b**3 - 717*b**3. 2*b**3 Collect the terms in 23462*o**2 + 23472*o**2 - 46942*o**2. -8*o**2 Collect the terms in 2478*z - 1908*z + 2296*z. 2866*z Collect the terms in -1305*d + 2414*d - 1296*d. -187*d Collect the terms in -156 - 9*y**2 + 126 - 92 + 122. -9*y**2 Collect the terms in -25 + 7*i**3 - 4*i**3 - 72*i**2 + 150*i**2 - 78*i**2. 3*i**3 - 25 Collect the terms in 479*d - 452*d + 34 - 9 - 25. 27*d Collect the terms in 6*x**3 - 2*x**3 + 1824 - 8*x**3. -4*x**3 + 1824 Collect the terms in 376*g**3 + 847*g**3 - 1243*g**3. -20*g**3 Collect the terms in -r**3 + 47 - 47 + 63*r - 98*r. -r**3 - 35*r Collect the terms in 529*m - 356*m - 158*m. 15*m Collect the terms in 17*p - 16 - 28 + 21*p - 13*p + 46. 25*p + 2 Collect the terms in 3*f**2 - 3*f**2 - 20131*f**3. -20131*f**3 Collect the terms in -10*x + 13*x + 0*x + 2*x - 24*x. -19*x Collect the terms in d**2 + 16411 + 0*d**2 - 16422. d**2 - 11 Collect the terms in 1658*r**2 - 2*r - 1606*r**2 + 2*r. 52*r**2 Collect the terms in 137*g**3 + 138*g**3 - 281*g**3 - 6*g**3. -12*g**3 Collect the terms in 3*i**2 - 16*i**2 + 1688 - 3369 + 1681 - 10*i**2. -23*i**2 Collect the terms in -505 + 778 + 3*r**2 - 272. 3*r**2 + 1 Collec
{ "pile_set_name": "DM Mathematics" }
- 6*a = 3*w + 55, -3*a - 33 = -5*w. Let m(p) = -3*p - 16. Suppose -11*v - 4*v = -465. Calculate the remainder when v is divided by m(a). 14 Let f = 698 + -486. Calculate the remainder when f is divided by 31. 26 Let t be 32/10*4*5. Suppose -4*b = -b - 4*f - 21, 0 = -5*b - 3*f + t. Suppose 5*i = 9 + 11. Calculate the remainder when b is divided by i. 3 Suppose 4*k - 7 = 2*d - 3, 0 = 2*d - 5*k + 8. Calculate the remainder when ((-86)/d)/(1/(-3)) is divided by 15. 13 Let w(q) = q - 1. Let t be w(1). Let u = 383 + 14. Suppose t = 3*v - u + 118. What is the remainder when v is divided by 24? 21 Suppose -l - 1 = -7. Calculate the remainder when (9/3)/(l*3/420) is divided by 19. 13 Let x = -6 + 12. Let v(u) = 2*u**2 + 7*u + 4. Let c be v(-9). Suppose -13 = 9*s - c. Calculate the remainder when s is divided by x. 4 Let j = 292 + -239. What is the remainder when j is divided by 27? 26 Calculate the remainder when (-6930)/(-36) - (0 - 1/2) is divided by 15. 13 Suppose -17 = -3*a + 52. Suppose 75*v + 72*v - 868 = 133*v. Calculate the remainder when v is divided by a. 16 Suppose 0 = c + c - 76. Let q(y) = 4*y + 255. What is the remainder when q(-36) is divided by c? 35 Let y(o) = o + 15. Let v be y(-15). Suppose 3*k - 13*k + 1380 = v. Calculate the remainder when k is divided by 35. 33 Let v(z) = -z + 5. Let g be v(3). Suppose g*b = 21 + 1. Let c(w) = -w - 1. What is the remainder when b is divided by c(-4)? 2 Suppose 2*z + 2*i = 5 + 5, 0 = 5*i. Suppose -z*b - 77 + 25 = -q, -4*b = -q + 47. What is the remainder when 52 is divided by q? 25 Calculate the remainder when (-120)/420 - (1 + (-1266)/21) is divided by 10. 9 Suppose q + 21 = -n, 0*n - 2*q + 38 = -2*n. Let f = -44 - n. Let j = f - -46. What is the remainder when j is divided by 12? 10 Suppose 0 = 23*j - 32*j + 603. What is the remainder when j is divided by 4? 3 Let h = 230 - -442. Suppose 8*j = -4*j + h. What is the remainder when j is divided by 15? 11 Let c = 2 - -2. Suppose -c*a + 479 = 5*f + 41, -4*f + a + 342 = 0. Let k(d) = d**2 + 37*d + 254. What is the remainder when f is divided by k(-8)? 20 Suppose -3*v + 5*v - 50 = 0. Let i = 34 - v. Calculate the remainder when (-94)/(-6) - (-1)/3 is divided by i. 7 Suppose 2*p = 5*d + 313, -106 = 2*d + 5*p - p. Let c = 171 + d. What is the remainder when c is divided by 56? 54 Suppose 2*s + 2 = 5*m - 8, -3*m = s + 5. What is the remainder when 1/((-6)/10)*-9 is divided by 10 + (-4 - m - -2)? 7 Suppose -4*u + 4 = -0. Suppose 0 = -q + u + 4. Suppose -q*t = -5*z - 100, 5*z + 1 + 3 = t. Calculate the remainder when 47 is divided by t. 23 Let s be (-1276)/2*6/(-12). Suppose s + 45 = 4*g. Suppose -4*a - 32 = -124. Calculate the remainder when g is divided by a. 22 Suppose w - 31 = 4*l, 4*w - 3*l = w + 57. Calculate the remainder when 277 is divided by w. 7 Let h = 45 + -39. Suppose 363 = h*f - 573. What is the remainder when f is divided by 32? 28 Let r = -19 - -27. Let o = -4 + r. Suppose -16 + 52 = o*l. Calculate the remainder when 25 is divided by l. 7 Suppose -p = -8*g + 9*g - 31, 5*g - 3*p - 195 = 0. Calculate the remainder when 8*3/g*3 + 91 is divided by 16. 13 Let d(k) = k**2 - 22*k - 33. What is the remainder when 107 is divided by d(25)? 23 Suppose 108 - 552 = -37*k. Calculate the remainder when 262 is divided by k. 10 Let s(i) = -i**3 + 60*i**2 - 852*i + 52. Suppose 0 = 6*c - 2*c - 40. What is the remainder when s(37) is divided by c? 5 Suppose -172 + 116 = -7*a. Calculate the remainder when 127 is divided by a. 7 Let h(s) = -s**2 + s - 25*s**3 + 1 + 5*s**3 + 0*s. What is the remainder when 35 is divided by h(-1)? 16 Suppose 0*n + 10*n - 410 = 0. Let m = -8 + 18. Let d = m - -4. What is the remainder when n is divided by d? 13 Let o(u) = -10*u - 3. Let j be o(-3). Let q = j + -16. Let n = -42 + 61. What is the remainder when n is divided by q? 8 Let c(u) = u**3 + 5*u**2 - 3*u - 3. Let r be c(-5). Let q be (-1)/(-4) - (-68)/(-16). Calculate the remainder when 43 is divided by 2 - (r/q + -18). 20 Let n = 42 + -31. Suppose 0 = -8*u + 5*u - 474. Calculate the remainder when u/(-8) - (-4)/16 is divided by n. 9 Let w(f) = -f + 8. Let b(a) = -3*a + 15. Let g(t) = 4*b(t) - 9*w(t). What is the remainder when (1*(11 + 0))/1 is divided by g(-6)? 5 Let b(f) = -9*f**2 - 3*f. Let z(y) = 17*y**2 + 6*y - 1. Let w(d) = -9*b(d) - 4*z(d). What is the remainder when w(3) is divided by 19? 16 Let d(f) = -159*f**3 - 4*f**2 - 3*f. What is the remainder when d(-1) is divided by 32? 30 Let w(r) be the second derivative of 2*r**3/3 - r**2 - 5*r. Let h(f) = f**3 + 7*f**2 - 10*f - 2. Calculate the remainder when w(7) is divided by h(-8). 12 Suppose -5*i - 7*m = -8*m - 115, 0 = -5*i - 4*m + 90. Calculate the remainder when 65 is divided by i. 21 Let w(h) be the third derivative of h**4/12 - 13*h**3/2 - 23*h**2. Calculate the remainder when 2 + 0 - (-1)/1 is divided by w(21). 0 Suppose -4*b + 4*b + 5*b = 0. Suppose -j - 4*u + 37 = b, -3*u + 91 = 3*j - u. Suppose -3*c + 26 + 4 = 0. Calculate the remainder when j is divided by c. 9 Let a be (-3)/2 + 45/(-10). Calculate the remainder when 4 is divided by a/4 - 21/(-6). 0 Let y = -318 - -367. What is the remainder when y is divided by 41? 8 Let g(h) = h - 1. Let c(l) = 4*l + 2. Let q(o) = -c(o) + 8*g(o). Let u(d) = -d**3 + 7*d**2 - 5*d + 1. Calculate the remainder when u(6) is divided by q(3). 1 Suppose -569*c + 586*c - 561 = 0. Calculate the remainder when 115 is divided by c. 16 Let w = 124 - 113. Calculate the remainder when 18 is divided by w. 7 Suppose 133 - 5 = 4*s. Let f = 1059 - 900. What is the remainder when f is divided by s? 31 Let f(m) = 2*m - 17. What is the remainder when 29 is divided by f(15)? 3 Suppose 4*y + 235 = 9*y. Suppose x = 4*g - 55, -x + 6 = -3*g + y. What is the remainder when 27 is divided by g? 13 Let i(y) = y**3 + 12*y**2 - 13*y - 2. Let q be i(-13). Suppose -5*n + 71 = -24. What is the remainder when n is divided by 0 - q - (-4 + 1)? 4 Suppose 9 - 1 = 2*s. Let b = -101 - -104. Calculate the remainder when s is divided by b. 1 Let w be 4*(0 + 1) + -2. Suppose 0 = a - w - 13. Suppose -7*c - 1646 + 1688 = 0. Calculate the remainder when a is divided by c. 3 Suppose 3*t - 316 - 85 = -s, 0 = -4*s + 3*t + 1574. Calculate the remainder when s is divided by 44. 43 Calculate the remainder when 607 is divided by (-156)/52 - (2/1 + -18). 9 Let a(c) = -25*c - 81. Calculate the remainder when 341 is divided by a(-4). 18 Let v(n) be the first derivative of 3*n**2/2 - 4*n - 8. Let l(m) = 14*m**3 + m. What is the remainder when l(1) is divided by v(4)? 7 Let l(g) = -4*g**2 - 41*g - 58. Calculate the remainder when 80 is divided by l(-8). 10 Let c(p) = -5*p - 35. Let y be c(-7). Suppose y = -h + 5 + 21. Suppose 0*a - 505 = -5*a. Calculate the remainder when a is divided by h. 23 Suppose -6 = -z - 2, -3*n - 1 = -4*z. What is the remainder when 33 is divided by n? 3 Suppose -17*g = -238 - 442. Calculate the remainder when 398 is divided by g. 38 Suppose -c = 4*f - 190 + 32, 3*c + 86 = 2*f. Calculate the remainder when f is divided by 24. 16 Suppose -3*a + 55 = a - g, -2*a - 4*g = -14. What is the remainder when 139 is divided by a? 9 Let c(v) = 3*v**2 + v + 10. Let w be c(-3). Suppose 0*a = -t - 3*a + w, -t - a = -26. Calculate the remainder when t is divided by 8. 6 Let y = 5 + -5. Suppose 0 = -4*g + 4 + 4. Suppose y = -2*m - g + 18. Calculate the remainder when 15 is divided by m. 7 Suppose -20*p + 8204 = 8*p. Calculate the remainder when p is divided by 85. 38 Suppose 0 = 5*y + s - 68, -y - s + 7 = -5. Suppose -3*n = -103 - y. What is the remainder when 152 is divided by n? 35 Let h(k) = 30*k + 341. What is the remainder when h(-6) is divided by 55? 51 Let c(a) = 0*a - 9*a - 2*a + 29 + 2*a. What is the remainder when c(-5) is divided by 11? 8 Suppose -4*z - 5*u + 47 = -2*z, 3*z - 66 = -3*u. What is the remainder when 120 is divided by z? 15 Calculate the remainder when 490/8 + (19/4 - 4) is divided by 22. 18 Let r(s) = -s**3 - 15*s**2 - 50*s + 14. Calculate the remainder when 24 is divided by r(-10). 10 Let g be 1/(8/6 - 1). Suppose -6 = -3*j, -g*j = 2*o - o - 37. Let m(p) = 15*p + 1. What is the remainder when o is divided by m(1)? 15 Let y be (-15 - (2 + 1)) + -3. What is the remainder when 13 is divided by (
{ "pile_set_name": "DM Mathematics" }
) - 226*a + 175*a + 161*a + 476*a. 584*a Expand (-3*s**2 + 0*s**2 + 5*s**2)*(-51*s + 51*s - 13*s**3) + 3*s**3 - s**3 - s**5 - s**5. -28*s**5 + 2*s**3 Expand (-1 - 2 + 9)*(11*q**4 + 346*q**5 - 686*q**5 + 341*q**5). 6*q**5 + 66*q**4 Expand (4*g - 2*g - 3*g)*(-4*g + 4*g - 5*g) + 2*g + 7*g**2 - 2*g + 3*g**2 - 2*g**2 - 3*g**2 + (0*g - 2*g + 0*g)*(5*g + g - 5*g). 8*g**2 Expand (-c + 2*c - 2*c)*(-5 + 1 + 3) - 92*c - 18*c - 195*c. -304*c Expand (-48 + 18*z + 48)*(5*z**3 + 3 - 3) + 5*z + 0*z - 3*z + 2*z**4. 92*z**4 + 2*z Expand 3*m**5 + 6*m**5 - 2*m**5 + (-4*m + 6*m + 0*m)*(0*m**4 - 4*m**4 + 2*m**4) + 63*m**3 - 63*m**3 - 7*m**5. -4*m**5 Expand (11*w + 16*w - 3*w)*(0*w**4 - 2*w**4 + 5*w**4). 72*w**5 Expand 11 + 3*m**3 - 11 + (0 + 3 - 4)*(0*m**3 - m**3 - m**3). 5*m**3 Expand -12*t + 6*t - 20*t + (2*t - 2*t + 2*t)*(-6 + 1 - 6). -48*t Expand 43*w**5 + 40*w**5 - 102*w**5 - 4*w**5 + w**5 + 4*w**5 + (3*w - 2*w + 0*w)*(0*w + 0*w + 2*w**4) + 3*w**4 - 3*w**4 + w**5. -15*w**5 Expand (6*d**2 - 4*d**2 + 3*d**2)*(-4*d**3 + 2*d**3 + d**3) + d**5 + 2*d**5 - d**5 - d**2 + d**2 + 2*d**5 + 6*d**2 - 11*d**5 - 6*d**2. -12*d**5 Expand (q - 1 + 1)*(3 + 3 - 5) + 10*q + 0*q + q + (0*q + 4*q - 2*q + (-q - 4 + 4)*(0 + 2 - 3))*(-5 - 6 + 3). -12*q Expand (4*i - 6 + 6)*(2*i**2 + 16*i**2 + 0*i**2) + (0*i**2 + 2*i**2 - 3*i**2)*(-2 + i + 2) + 0*i**3 - 5*i**3 + 3*i**3. 69*i**3 Expand (-6*g**4 + g**4 + 4*g**4)*(2*g - 4*g + g) - 46*g**5 + 49*g**5 - 38*g**5 + (-g + 0*g + 4*g)*(0*g + 2*g**4 + 0*g). -28*g**5 Expand (0*c + 0*c - 2*c)*(-7*c**2 + 37*c**2 + 7*c**2). -74*c**3 Expand (4*g**4 + g**4 - 4*g**4)*(-1 + 1 - g) + (-g**2 + g**3 + g**2)*(-65*g**2 + 18*g**2 - 37*g**2). -85*g**5 Expand (7*s - 6*s + 3*s)*(28 - 7 - 5) + 0*s + 0*s + 2*s. 66*s Expand (-z + z - 2*z)*(-3*z**2 + 3*z**2 - z**2 + (2*z + 2*z - 2*z)*(0*z + 0*z - 4*z) - 3*z**2 + z**2 + z**2). 20*z**3 Expand 3*b**4 - 3*b**4 - 3*b**5 + (2*b**3 - 2*b**3 - 2*b**3)*(b**2 + b**2 - 6*b**2) + (-2 + 5 - 2)*(-3*b**2 + 3*b**2 + 3*b**5). 8*b**5 Expand (1 + 1 + 1 + 1 - 2 - 1 - 3 + 2 + 3 + (0 + 0 - 1)*(-1 + 1 + 1) + 0 + 4 - 2 - 6 - 4 + 9)*(-4 - 4 + 6)*(2 - 2 - 2*z). 12*z Expand (-2*b + b + 2*b)*((-3 + 5 - 4)*(-4 + 1 + 1) - 47 - 46 - 69 - 1 - 4 + 3). -160*b Expand (-2*q**2 + 3*q**3 + 2*q**2)*(q**2 + 2 - 2) + 31*q**5 - 17*q**5 - 39*q**5 - 3*q**5 + 0 - q**4 - q**4 - 2 - 2*q**2. -25*q**5 - 2*q**4 - 2*q**2 - 2 Expand (-4 + 6 + 0 + (15 + 2 + 0)*(-4 + 0 + 6))*(y - y + y**3 + (y**2 - y**2 + y**3)*(2 - 2 + 2) - y**2 + y**2 + 4*y**3)*(0 + 0 - y**2). -252*y**5 Expand -6*a + 0*a + 4*a - 2*a - 5 + 5 - 4*a + 3*a + 0*a + 3*a - 3*a + 2*a + (1 + 0 - 3)*(0 - 2*a + 0) + 579*a + 589*a - 1100*a. 69*a Expand (4 - 3*q - 4)*(-1 + 1 + 2)*(3 + 13 + 5). -126*q Expand ((-11*p - 6 + 6)*(0 + 0 + p**2) - 5*p**3 + 3*p**3 + 0*p**3)*(5 + 3 - 5)*(4 - 2 - 3)*(0 + 4 - 3). 39*p**3 Expand (3 - o - 3 + (-2*o + 3*o - 3*o)*(-2 - 5 + 0))*(2*o**2 + 3 - 3)*(2 - 4 + 0). -52*o**3 Expand (-2 + 1 + 2)*(-23*z - 11 - 24*z + 82 + 49*z). 2*z + 71 Expand 0*i + 2*i**5 + 0*i + (0*i - 3*i - i)*(3*i**4 - 3*i**4 - 4*i**4) + (-3*i**2 + 3*i**2 + i**2)*(-2*i**2 + 2*i**3 + 2*i**2) + i**5 - 6*i**5 + 4*i**5. 19*i**5 Expand (0 - 1 + 2)*(-9 - 11*h + 9) + (-7 - 4 + 1)*((-3 + 3 + 1)*(h + 0 + 0) + h + 3 - 3). -31*h Expand (-94*h**2 + 94*h**2 - 30*h**3)*(0*h**2 - 3*h**2 + 5*h**2)*(0 - 1 + 3 + 1 + 2 - 4 + (2 + 1 - 5)*(-5 + 0 + 2)). -420*h**5 Expand (-3*m + 2*m - 14*m)*(3 - 3 + m**2)*(-2 - 13 + 3). 180*m**3 Expand (7*o + 5*o + 2*o)*(-4*o - 4*o + 5*o)*(-4 - o**2 + 4). 42*o**4 Expand (-49*l**4 + 73*l**4 + 69*l**4)*(-2*l + 6*l - l). 279*l**5 Expand (-3*l**2 - l**2 + 6*l**2)*(2*l + 0 + 0) + 8*l - 13*l**2 + 19*l**2 - 3*l**3 - 7*l**2. l**3 - l**2 + 8*l Expand (-18*u - 8*u - 9*u)*(-3 + 4 + 3). -140*u Expand (23*d**3 - 27*d**3 + 29*d**3)*(-5 - 5 + 3) + d**3 + d**3 - 3*d**3 - d**3 - 2 + 2. -177*d**3 Expand 0*m + 3*m - 5*m + (-5 + 4 - 1)*(-19*m - 27*m - 14*m). 118*m Expand (-24 - 28 + 130)*(i**3 + 2*i**3 + 0*i**3)*(3*i**2 + 0*i**2 - i**2). 468*i**5 Expand (-3*i**3 + 4*i**3 - 2*i**3)*(-2 + 2*i + 2) - 2*i**4 + i - i + 2*i - 2*i + i**4 + i**4 - 3*i**4 + i**4 - 25*i - 15565*i**2 + 14*i**4 + 15565*i**2. 10*i**4 - 25*i Expand (4*x - 9*x + 2*x)*(6 - 3 - 2)*(1 - 1 - x**2). 3*x**3 Expand (2*g + g - g + (g + 1 - 1)*(3 - 9 - 1))*(23*g**2 - 15*g**2 - 12*g**2). 20*g**3 Expand -3*l**4 + 2*l**4 + 1 + 1 + (50*l**3 - 77*l**3 + 41*l**3)*(2*l - 2 + 2). 27*l**4 + 2 Expand (-13496*a**4 + 0*a**3 - a**3 + 13442*a**4)*(2 + 0 - 4). 108*a**4 + 2*a**3 Expand (a + 4*a - 4*a)*(a**2 + 3*a**2 - 3*a**2) + 714*a**3 + 108089*a - 108089*a. 715*a**3 Expand (-2*s**3 + 9*s**3 - 2*s**3)*(0 + 0 + 6*s**2) + 0 + s**5 + 0 - 2*s**5 + s**5 - s**5 + (-2*s**2 - 3*s + 3*s)*(-4 - 2*s**3 + 4). 33*s**5 Expand (2*m - m + m)*(-m**3 + 0*m**3 - 2*m**3) + 215*m**2 - 7*m**4 - 215*m**2 - 36*m**4. -49*m**4 Expand (3*p**2 + 2*p**2 - 4*p**2 + (-4*p - 5*p + p)*(-20 + 20 - 6*p))*(2 + p**2 - 2). 49*p**4 Expand 4*m**2 - m**2 - 2*m**2 + (-10*m + 30 - 30)*(3*m - 7*m + 2*m) - 26*m**2 + 30*m**2 + 70*m**2. 95*m**2 Expand (-142*j + 100 + 270*j - 131*j)*(-j**4 + 5*j**4 - 3*j**4). -3*j**5 + 100*j**4 Expand -23*o**2 - 13*o**2 + 7*o**2 + (2 - 2*o - 2)*(-4 - 4*o + 4). -21*o**2 Expand (-w + 0*w + 0*w + (2 - 5 + 2)*(-w - w + 0*w))*((2*w**2 + 0*w**2 - 4*w**2)*(0 - 2 + 0) + 4*w**2 - 5*w**2 + 2*w**2 + 7*w**2 - 17*w**2 + 3*w**2). -2*w**3 Expand -2*p - 2*p + 0*p + (1 + 5 - 5)*(-4*p - 2*p + 7*p) + 14*p - 14*p + 16*p. 13*p Expand 4 - 4 + i**2 - 26*i**2 + 31*i**2 - 18*i**2 + (-2*i - 4 + 4)*(3*i + 0*i - 4*i) + 9*i**2 - 2*i**2 - 2*i**2. -5*i**2 Expand (-5 + 4 + 0)*((-4*h + 3*h + 0*h)*(-264 + 264 - 15*h**3) - 3*h**4 - 9*h**2 + 9*h**2). -12*h**4 Expand (2*v + 2*v + v)*(v + 2*v + 2*v) - v**2 - 4*v**2 + 2*v**2. 22*v**2 Expand -3*y**2 - y**2 + 3*y**2 - y**2 + 0*y**2 + 0*y**2 + (3*y - 3*y + 2*y**2)*(-2 + 3 - 2) + 6*y**2 + 14 - 19 - 1. 2*y**2 - 6 Expand (-2 + 1 + 2 + (-6 + 2 + 0)*(1 + 2 - 5))*(5 - 1 - 2)*(7*i + 8*i - 8*i). 126*i Expand (0 + 1 - 3)*(2*b**5 + b**5 - 2*b**5 + (7*b + 21*b - 5*b)*(-2*b**4 - 2*b**4 + 3*b**4) + (4*b**2 - 2*b**2 + 0*b**2)*(0*b**3 + 2*b**3 - 4*b**3)). 52*b**5 Expand (-2 + 2*a + 2)*(2 - 2 + a) + 2*a - 2*a - a**2 + (-2*a + 3 - 3)*(-29 - 27*a + 29) + 1 - 1 + a**2. 56*a**2 Expand 0*p - p + 2*p + 3*p - p - 4*p - p + 3*p + 0*p + (p + 3*p - 3*p)*(5 + 1 - 5) - 38 + 50*p + 38. 52*p Expand (-130*d + 3803 - 3803 - 2*d + 1 - 1 + (2 - 4 + 0)*(d + d + 0*d))*(-3 - 2 + 7). -272*d Expand (0 - 1 + 4)*(-2 + 2 - 1)*(-2 - n + 2)*(298 + 314 - 554). 174*n Expand 18578 + 262*x**4 - 18578 + (3*x - 3*x + 2*x**2)*(0*x**2 + x**2 - 3*x**2). 258*x**4 Expand -2*h**5 + 0*h**5 + h**5 + 9*h**5 + 5*h**5 - 4*h**5 - 2*h**2 + 2*h**5 + 2*h**2 + (-h**4 - h**4 + 0*h**4)*(-2*h + 0 + 0) + 5 + h**5 + h**3 + 0*h**5 - 8. 16*h**5 + h**3 - 3 Expand (-4*m + 0*m + 6*m)*(4 - 4 + 2*m) + 159*m - 7*m**2 - 159*m - 24*m + 7*m + 9*m + 0*m**2 - m**2. -4*m**2 - 8*m Expand (-33 - 29 + 64)*(r**3 + 2*r**3 + 2*r**2 - r**3). 4*r**3 + 4*r**2 Expand (-o - o**2 + o)*(581 + 574 - 326*o - 1154). 326*o**3 - o**2 Expand (-x**2 + 0*x**2 + 2*x**2)*(-1 + x**3 + 1) + 2*x**5 - 4*x**5 + 0*x**5 + 3*x**5 - x + x + (12*x - 12*x - 12*x**2)*(-3*x**3 - x + x). 38*x**5 Expand (-7*g + 2*g - 6*g)*((1 + 0 + 0)*(1 - 3 - 1) + (-3 + 3 - 1)*(1 + 1 - 4)). 11*g Expand (-n**2 - 1 + 1)*(4*n**3 - 3*n**3 - 3*n**3 + 0*n**3 - n**3 - 6*n**3 + 2*n**2 - 2*n**2 - 8*n**3 + (-6*n**2 + n**2 + n**2)*(-4 - 3*n + 4)). 5*n**5 Expand (-3*v - v + 3*v)*(-35 + 12 - 19)*(0*v**2 - 3*v**3 + 0*v**2 - 2*v)*(2*v + v - v). -252*v**5 - 168*v**3 Expand ((-5 + 0 + 1)*(-13*y + 37*y - 13*y) + (-2 + 2 - y)*(2 + 2 - 2))*(0 + 0 - y). 46*y**2 Expand (-j + 0*j + 2*j)*(j**4 - 4*j**4 + j**4) + (-3*j**3 + 0*j**3 + j**3)*(-22*j**2 - 15*j**2 + 26*j**2). 20*j**5 Expand (l - l - 2*l)*(-1 + 8 + 2)*(-1 - 6 - 2). 162*l Expand (-2 + p + 2)*(-3 - 17*p**2 + 3) + (4*p - 4*p - p**2)*(2*p - 2 + 2) - 5*p**3 + 4*p**3 + 0*p**3. -20*p**3 Expand -17*v + 13*v - 48*v + 3 - v - 3 + (2*v - 3 + 3)*(-1 - 1 + 1) + v - v - v + 0*v - 2*v + 3*v. -55*v Expand (1 + 3 - 3 + (0 + 1 + 1)*(-15 + 13 + 35) - 4 + 2 + 0)*(2*f + 0 + 0 - 1 + 2*f + 1 + (7 - 3 - 3)*(2*f - 1 + 1) + 0*f - f + 0*f). 325*f Expand ((-1 + 1 - j)*(1 + 2 - 2) - 2*j - 2 + 2)*(95 - 2*j - 95). 6*j**2 Expand (0 - 4 + 5)*(7 - 6*k - 7) + 5*k - 3*k - 3*k + k - k + 2*k + (0 + 1 + 0)*(-3 + 3 + 2*k).
{ "pile_set_name": "DM Mathematics" }
base 16) in base 5? -232412033 163087 (base 13) to base 9 1026521 Convert -4baee (base 16) to base 7. -2430533 -32642441 (base 7) to base 4 -22233310010 Convert -67a0739 (base 11) to base 2. -101101011010010000010110 Convert 4858a45 (base 11) to base 6. 501153324 Convert 1068bb (base 16) to base 6. 35014351 -322431124 (base 5) to base 15 -1c2144 -1049010 (base 12) to base 6 -150040020 Convert -445c3d (base 14) to base 4. -20312222333 Convert -1ec05d (base 15) to base 5. -341234323 416c9 (base 14) to base 2 100110100001000001 -100111011010100111001101 (base 2) to base 10 -10332621 Convert -4c07b5 (base 16) to base 9. -10333883 What is -101011001101111100000 (base 2) in base 6? -50204144 Convert -31117271 (base 8) to base 15. -8a3ca8 Convert -1391051 (base 10) to base 15. -1c726b Convert -342004 (base 8) to base 12. -56b70 1025327 (base 8) to base 12 112073 Convert -1224112431 (base 5) to base 11. -173a901 -12113302000 (base 5) to base 8 -66120605 Convert -40202331 (base 5) to base 2. -1001101111001110011 113111211 (base 5) to base 9 871624 What is 2e73d (base 16) in base 12? 92139 -63131076 (base 8) to base 3 -221020112212220 Convert -9a0c0 (base 15) to base 10. -489555 What is -1043140004 (base 5) in base 10? -2318129 What is 101010100111101010011111 (base 2) in base 5? 10330010021 11101001100110100111 (base 2) to base 3 1210121112111 What is -24366522 (base 7) in base 2? -1000010101011001111100 What is -313202004 (base 5) in base 8? -4761523 Convert -22120120111 (base 3) to base 11. -105920 -17968 (base 13) to base 3 -2022110221 498e0 (base 16) to base 6 10242452 2130437 (base 8) to base 7 4561506 -2809731 (base 10) to base 7 -32611431 What is 232151 (base 9) in base 3? 21002011201 What is -487555 (base 9) in base 3? -112221121212 Convert 15d10a (base 16) to base 15. 1d3980 What is 19b8a (base 14) in base 7? 361433 Convert 10010311 (base 5) to base 8. 231757 Convert -1613256 (base 7) to base 5. -24101220 Convert 1011010110010001000001 (base 2) to base 14. 576169 What is -1201132013 (base 5) in base 8? -12405272 Convert -4613761 (base 11) to base 7. -125416546 11713702 (base 10) to base 5 10444314302 What is 24114414 (base 5) in base 3? 102100001022 -10110112111 (base 3) to base 6 -1243404 13211341 (base 5) to base 7 1060056 What is -b8b05 (base 12) in base 7? -2032640 1012110100011 (base 3) to base 2 10011011111110000011 Convert 21111221002122 (base 3) to base 8. 17171226 -2894d9 (base 14) to base 16 -157e87 Convert -22111110221 (base 3) to base 13. -5b1b6 What is 103878 (base 11) in base 5? 20303342 117794 (base 10) to base 7 1000265 5bb50 (base 13) to base 16 293c0 -68dd2 (base 14) to base 15 -50920 -130443422 (base 5) to base 12 -26a79b Convert 9030e (base 16) to base 4. 2100030032 Convert -10280 (base 11) to base 7. -61435 Convert -12665 (base 11) to base 10. -18100 What is 273a92 (base 14) in base 5? 321324010 What is -421222124 (base 5) in base 6? -101201324 What is 124401414 (base 5) in base 8? 2277035 13014324 (base 7) to base 4 10200030030 What is b967 (base 15) in base 9? 58747 Convert -3b459a (base 13) to base 14. -295daa What is 3633d (base 14) in base 15? 2933a Convert -124232 (base 7) to base 11. -163a2 -933003 (base 10) to base 12 -38bb23 What is -116a993 (base 11) in base 12? -82177b Convert -d72b0 (base 15) to base 5. -133313430 Convert -22212021111102 (base 3) to base 2. -10001111101110101000110 What is bd34 (base 14) in base 10? 32778 Convert 122132131 (base 4) to base 10. 108445 What is -310200302011 (base 4) in base 12? -473a371 What is -443503 (base 6) in base 9? -55823 Convert -156151 (base 9) to base 13. -34b1c 9008 (base 13) to base 2 100110101000101 What is 226937 (base 10) in base 16? 37679 -a8515 (base 11) to base 4 -212133233 Convert 552335 (base 8) to base 10. 185565 Convert -322758 (base 9) to base 15. -3bed2 Convert -5163121 (base 8) to base 6. -45205041 3b629 (base 14) to base 2 100011110011010101 What is -10010110010100001111 (base 2) in base 7? -5143013 40216550 (base 8) to base 5 4131233142 Convert 334203351 (base 6) to base 10. 6081619 Convert 65041 (base 10) to base 14. 199bb What is -123814 (base 9) in base 3? -10210220111 -b1548 (base 15) to base 14 -108871 -11331321 (base 4) to base 5 -1240231 What is 10425770 (base 8) in base 15? 2e383a Convert 567273 (base 10) to base 5. 121123043 -144020111 (base 5) to base 15 -102371 What is -172405 (base 11) in base 7? -2160343 3c27b (base 14) to base 7 1156314 -2011211222012 (base 3) to base 9 -2154865 Convert 11022002202 (base 3) to base 14. 22bb8 -33295 (base 11) to base 9 -73174 -13311022232 (base 4) to base 14 -3b6154 -3220342 (base 5) to base 8 -152310 1e7ae (base 15) to base 7 563264 Convert 871884 (base 9) to base 5. 113113042 -337888 (base 12) to base 8 -3105450 Convert -ebe201 (base 16) to base 14. -20a5973 -240444202 (base 6) to base 2 -10001001110100101101010 -314459 (base 11) to base 6 -14443442 123759 (base 11) to base 4 233222211 56443 (base 7) to base 10 14290 54322140 (base 6) to base 10 1612716 Convert -142006 (base 8) to base 2. -1100010000000110 Convert -68ec3 (base 15) to base 9. -558243 546b0 (base 15) to base 2 1000001011101101100 -174596 (base 11) to base 9 -450704 What is -10100110000110011 (base 2) in base 10? -85043 Convert 7a3a6 (base 13) to base 10. 222540 -208370 (base 11) to base 3 -121221001101 -2111112220112 (base 3) to base 13 -377282 Convert c65362 (base 15) to base 8. 43771444 What is -1002121020200 (base 3) in base 8? -2161773 -251a4c7 (base 13) to base 9 -23671288 Convert -107a3 (base 12) to base 4. -11111223 What is -533312 (base 9) in base 12? -1337b5 Convert 110111111111001101 (base 2) to base 6. 4525405 728324 (base 9) to base 14 b38d4 Convert 143323430 (base 5) to base 7. 6316665 614225 (base 9) to base 15 72c8b What is -1fee (base 16) in base 3? -102012202 118026 (base 9) to base 11 4976a Convert -3186b4 (base 13) to base 11. -723456 What is -143402454 (base 6) in base 7? -34152634 What is -10413117 (base 8) in base 12? -8b8953 1002112210101 (base 3) to base 4 2031333112 -1b0e4 (base 16) to base 5 -12021240 Convert 101132032 (base 5) to base 7. 3332521 2093e3 (base 15) to base 14 2c4c33 What is -3023102120 (base 4) in base 16? -cb498 Convert -18486 (base 14) to base 10. -61270 What is -1011320013 (base 4) in base 2? -1000101111000000111 Convert 11041400 (base 5) to base 4. 113203123 What is 59434 (base 10) in base 8? 164052 What is -a5bb (base 15) in base 13? -12c53 102102001210211 (base 3) to base 12 20450aa Convert -1344414441 (base 5) to base 13. -960452 Convert -505715 (base 11) to base 13. -225c40 What is -3032233 (base 4) in base 6? -141131 Convert -30a30b (base 12) to base 16. -ba93b -161f (base 16) to base 12 -333b 14cccc (base 13) to base 6 15004025 What is 8464 (base 9) in base 14? 239c -701135 (base 8) to base 3 -102200110211 What is -12212011121 (base 3) in base 6? -2245454 12584220 (base 9) to base 16 5e8dc8 Convert -547a41 (base 11) to base 5. -210440031 2d6966 (base 14) to base 9 2887625 -17a047 (base 12) to base 13 -1152ac What is 225421 (base 12) in base 9? 1025207 -182ea6 (base 16) to base 6 -53545022 What is 2b721 (base 13) in base 2? 10100001001000011 -676745 (base 8) to base 12 -b0519 1535 (base 14) to base 7 13665 Convert 4b9312a (base 12) to base 4. 320233013302 What is 220102202021001 (base 3) in base 14? 1a2065d Convert 3035353 (base 6) to base 9. 241006 What is 130463 (base 7) in base 16? 5ebb Convert 123320233100 (base 4) to base 3. 111202101211102 Convert 315443 (base 12) to base 6. 24350523 Convert -2437450 (base 9) to base 15. -1b2573 a3266c (base 13) to base 8 16405717 What is 2a63c6 (base 16) in base 8? 12461706 What is -21331304 (base 5) in base 6? -3532425 Convert -13331003 (base 4) to base 8. -77503 What is -1023231240 (base 5) in base 12? -88478a -4085782 (base 11) to base 15 -9768ae What is -e8a3e (base 15) in base 3? -1101111102112 Convert 43365 (base 9) to base 13. 10103 Convert d720a (base 15) to base 11. 426611 What is 83c67 (base 15) in base 5? 101333142 What is -1ccf5 (base 16) in base 10? -118005 -3bbd49 (base 14) to base 8 -7710555 Convert -1a29b1 (base 14) to base 2. -11100010111001101111 What is 100010100111001100001010 (base 2) in base 4? 202213030022 What is 23cb96 (b
{ "pile_set_name": "DM Mathematics" }
10:36 AM? 549 How many minutes are there between 2:19 AM and 12:36 PM? 617 What is 404 minutes before 11:11 AM? 4:27 AM How many minutes are there between 4:40 AM and 4:46 AM? 6 How many minutes are there between 12:48 AM and 1:23 AM? 35 What is 586 minutes after 5:37 AM? 3:23 PM What is 400 minutes before 2:53 PM? 8:13 AM What is 420 minutes before 6:00 AM? 11:00 PM How many minutes are there between 8:37 AM and 5:02 PM? 505 What is 423 minutes before 10:13 PM? 3:10 PM How many minutes are there between 4:29 AM and 8:49 AM? 260 What is 470 minutes before 6:00 AM? 10:10 PM How many minutes are there between 10:03 PM and 9:33 AM? 690 What is 507 minutes before 1:24 AM? 4:57 PM How many minutes are there between 1:53 PM and 9:05 PM? 432 What is 578 minutes before 1:52 AM? 4:14 PM What is 204 minutes before 1:25 AM? 10:01 PM How many minutes are there between 3:32 PM and 5:10 PM? 98 How many minutes are there between 5:07 AM and 12:31 PM? 444 What is 690 minutes before 12:56 AM? 1:26 PM How many minutes are there between 7:42 PM and 5:01 AM? 559 What is 599 minutes before 8:22 PM? 10:23 AM What is 186 minutes before 12:28 AM? 9:22 PM What is 323 minutes after 7:28 AM? 12:51 PM How many minutes are there between 8:58 AM and 5:50 PM? 532 How many minutes are there between 7:13 PM and 2:12 AM? 419 What is 264 minutes before 4:17 AM? 11:53 PM How many minutes are there between 10:10 PM and 12:31 AM? 141 How many minutes are there between 12:17 PM and 5:39 PM? 322 How many minutes are there between 10:22 PM and 4:06 AM? 344 What is 120 minutes after 3:39 PM? 5:39 PM What is 652 minutes before 12:05 PM? 1:13 AM How many minutes are there between 9:55 AM and 9:25 PM? 690 How many minutes are there between 11:40 PM and 10:03 AM? 623 What is 697 minutes before 9:07 PM? 9:30 AM What is 592 minutes after 9:50 PM? 7:42 AM What is 420 minutes after 9:01 AM? 4:01 PM How many minutes are there between 3:20 AM and 1:54 PM? 634 How many minutes are there between 2:46 AM and 4:47 AM? 121 How many minutes are there between 3:52 AM and 3:31 PM? 699 What is 663 minutes after 9:39 AM? 8:42 PM What is 40 minutes after 2:44 PM? 3:24 PM What is 156 minutes after 8:15 PM? 10:51 PM What is 158 minutes before 3:28 PM? 12:50 PM How many minutes are there between 2:40 AM and 2:29 PM? 709 How many minutes are there between 6:36 AM and 12:35 PM? 359 How many minutes are there between 11:39 PM and 11:48 PM? 9 What is 391 minutes before 2:31 AM? 8:00 PM How many minutes are there between 6:05 AM and 1:09 PM? 424 What is 493 minutes after 4:49 AM? 1:02 PM How many minutes are there between 8:37 PM and 9:10 PM? 33 What is 652 minutes after 1:35 AM? 12:27 PM What is 503 minutes after 8:28 AM? 4:51 PM What is 524 minutes after 12:43 AM? 9:27 AM How many minutes are there between 3:38 PM and 12:41 AM? 543 What is 318 minutes before 5:39 AM? 12:21 AM How many minutes are there between 8:41 AM and 3:20 PM? 399 What is 605 minutes before 8:06 PM? 10:01 AM How many minutes are there between 10:10 PM and 8:17 AM? 607 How many minutes are there between 2:03 AM and 1:48 PM? 705 What is 191 minutes before 9:24 AM? 6:13 AM How many minutes are there between 10:48 PM and 8:45 AM? 597 How many minutes are there between 11:54 PM and 8:49 AM? 535 What is 153 minutes after 12:19 AM? 2:52 AM What is 342 minutes after 11:25 AM? 5:07 PM How many minutes are there between 10:37 AM and 4:49 PM? 372 What is 419 minutes after 4:25 PM? 11:24 PM What is 360 minutes before 4:33 AM? 10:33 PM How many minutes are there between 5:34 AM and 8:20 AM? 166 How many minutes are there between 4:18 PM and 3:28 AM? 670 What is 462 minutes before 7:29 AM? 11:47 PM How many minutes are there between 2:34 AM and 12:16 PM? 582 How many minutes are there between 2:53 PM and 1:23 AM? 630 How many minutes are there between 3:56 PM and 5:27 PM? 91 How many minutes are there between 7:17 PM and 7:00 AM? 703 How many minutes are there between 3:48 AM and 12:40 PM? 532 What is 337 minutes after 8:01 PM? 1:38 AM What is 283 minutes after 5:21 AM? 10:04 AM What is 556 minutes before 11:27 PM? 2:11 PM What is 171 minutes before 2:58 PM? 12:07 PM What is 630 minutes after 5:29 PM? 3:59 AM What is 39 minutes after 5:30 AM? 6:09 AM How many minutes are there between 11:34 AM and 7:58 PM? 504 What is 244 minutes before 6:51 AM? 2:47 AM What is 641 minutes after 1:10 AM? 11:51 AM How many minutes are there between 1:10 PM and 1:37 PM? 27 What is 371 minutes before 1:10 AM? 6:59 PM What is 295 minutes before 12:45 PM? 7:50 AM What is 597 minutes before 11:25 PM? 1:28 PM How many minutes are there between 3:36 AM and 9:00 AM? 324 What is 482 minutes after 6:59 AM? 3:01 PM What is 322 minutes after 6:06 AM? 11:28 AM How many minutes are there between 4:34 AM and 6:24 AM? 110 What is 485 minutes before 2:59 PM? 6:54 AM How many minutes are there between 3:06 PM and 8:37 PM? 331 What is 304 minutes before 5:47 PM? 12:43 PM How many minutes are there between 6:38 AM and 4:54 PM? 616 What is 325 minutes before 2:09 PM? 8:44 AM What is 468 minutes after 8:13 PM? 4:01 AM What is 524 minutes after 3:02 AM? 11:46 AM How many minutes are there between 12:01 PM and 6:29 PM? 388 What is 715 minutes before 5:37 AM? 5:42 PM How many minutes are there between 2:30 AM and 3:58 AM? 88 How many minutes are there between 3:27 AM and 11:19 AM? 472 How many minutes are there between 7:30 PM and 12:58 AM? 328 What is 685 minutes after 1:01 AM? 12:26 PM What is 235 minutes before 5:09 PM? 1:14 PM How many minutes are there between 6:54 PM and 12:07 AM? 313 How many minutes are there between 6:25 PM and 4:34 AM? 609 What is 291 minutes before 7:19 AM? 2:28 AM What is 337 minutes before 3:20 AM? 9:43 PM How many minutes are there between 8:49 PM and 8:09 AM? 680 How many minutes are there between 9:15 AM and 3:00 PM? 345 How many minutes are there between 1:41 AM and 5:51 AM? 250 What is 665 minutes before 3:02 AM? 3:57 PM How many minutes are there between 10:51 PM and 8:29 AM? 578 How many minutes are there between 9:41 AM and 8:48 PM? 667 What is 462 minutes after 7:34 AM? 3:16 PM What is 559 minutes before 3:52 AM? 6:33 PM How many minutes are there between 11:26 PM and 6:29 AM? 423 How many minutes are there between 2:30 AM and 5:54 AM? 204 How many minutes are there between 11:36 AM and 10:55 PM? 679 How many minutes are there between 10:19 AM and 9:23 PM? 664 What is 49 minutes before 5:55 PM? 5:06 PM What is 76 minutes before 8:13 PM? 6:57 PM What is 82 minutes before 10:23 PM? 9:01 PM What is 429 minutes before 2:37 PM? 7:28 AM What is 612 minutes after 10:48 AM? 9:00 PM What is 331 minutes after 11:42 PM? 5:13 AM What is 467 minutes before 7:28 AM? 11:41 PM How many minutes are there between 1:07 AM and 6:11 AM? 304 What is 463 minutes before 1:58 AM? 6:15 PM How many minutes are there between 9:54 PM and 7:45 AM? 591 How many minutes are there between 3:53 PM and 9:21 PM? 328 How many minutes are there between 9:39 AM and 4:33 PM? 414 How many minutes are there between 9:56 AM and 5:22 PM? 446 How many minutes are there between 4:15 AM and 2:49 PM? 634 What is 480 minutes before 3:38 AM? 7:38 PM What is 139 minutes before 3:14 AM? 12:55 AM How many minutes are there between 12:31 PM and 4:51 PM? 260 What is 172 minutes after 6:17 PM? 9:09 PM What is 428 minutes after 12:57 AM? 8:05 AM What is 96 minutes before 4:48 PM? 3:12 PM How many minutes are there between 10:31 AM and 3:29 PM? 298 What is 662 minutes after 8:48 PM? 7:50 AM What is 128 minutes before 1:55 AM? 11:47 PM How many minutes are there between 11:01 PM and 4:11 AM? 310 What is 135 minutes after 12:34 AM? 2:49 AM How many minutes are there between 6:10 AM and 10:16 AM? 246 What is 235 minutes after 8:36 PM? 12:31 AM How many minutes are there between 5:43 AM and 6:46 AM? 63 How many minutes are there between 7:35 AM and 3:03 PM? 448 How many minutes are there between 1:39 PM and 11:24 PM? 585 What is 372 minutes after 3:18 PM? 9:30 PM What is 149 minutes before 8:51 AM? 6:22 AM How many minutes are there between 1:53 PM and 1:25 AM? 692 What is 359 minutes before 9:26 AM? 3:27 AM How many minutes are there between 12:50 PM and 4:27 PM? 217 How many minutes are there between 10:55 PM a
{ "pile_set_name": "DM Mathematics" }
266*a - 3631696 = 0 for a. -122, -8 Suppose -h**3/7 + 747*h**2/7 - 744*h/7 - 1492/7 = 0. Calculate h. -1, 2, 746 Factor -2783*k**2 - 100186*k + 72. -(k + 36)*(2783*k - 2) Solve -v**4/8 - 17*v**3/4 - 3*v**2 + 153*v/4 + 297/8 = 0 for v. -33, -3, -1, 3 Factor 64*v**3 - 51903*v**2 + 51029*v + 810. (v - 810)*(v - 1)*(64*v + 1) Find n, given that -261*n**5 + 7053*n**4 - 49491*n**3 + 4527*n**2 + 264576*n - 6084 = 0. -2, 2/87, 3, 13 Factor n**2/7 - 141803*n/7. n*(n - 141803)/7 Factor -5*g**2 - 2014860*g - 202983040980. -5*(g + 201486)**2 Solve 212*m**5/13 - 4242*m**4/13 + 2796*m**3/13 + 16534*m**2 - 156*m = 0 for m. -6, 0, 1/106, 13 Let -s**3/4 - 125*s**2/4 + 32*s + 63 = 0. Calculate s. -126, -1, 2 Factor x**3/4 + 431*x**2/4 - 1321*x + 3544. (x - 8)*(x - 4)*(x + 443)/4 Let -5*y**4/2 - 1074*y**3 - 27261*y**2 - 186238*y - 204321/2 = 0. What is y? -403, -13, -3/5 Let 3*h**3 + 5355*h**2 + 210600*h + 2094000 = 0. What is h? -1745, -20 Determine z, given that 7*z**4 - 62*z**3 - 44*z**2 + 792*z + 1152 = 0. -2, 6, 48/7 Find a, given that -a**4/5 - 139*a**3/5 - 883*a**2 - 4277*a/5 = 0. -91, -47, -1, 0 Factor 2*v**3 - 72*v**2 + 648*v. 2*v*(v - 18)**2 Suppose 2*u**3/11 + 20858*u**2/11 = 0. What is u? -10429, 0 Factor -2*c**3 + 161821*c**2 - 3273294960*c + 1636607025. -(c - 40455)**2*(2*c - 1) Let 2*d**5/15 - 722*d**4/5 + 580976*d**3/15 + 992224*d**2/5 - 4630528*d/15 - 9469952/5 = 0. Calculate d. -4, 3, 544 Factor -p**5/8 + 1161*p**4/4 + 581*p**3. -p**3*(p - 2324)*(p + 2)/8 Suppose -5*d**3 + 5300*d**2 + 15965*d - 21260 = 0. What is d? -4, 1, 1063 Find k such that -3*k**5/8 + 459*k**4/2 + 65901*k**3/8 - 2757*k**2/4 - 48501*k/2 + 16473 = 0. -34, -2, 1, 646 Solve -2*x**5 - 100*x**4 - 452*x**3 - 48*x**2 + 1926*x + 1620 = 0 for x. -45, -3, -1, 2 Factor -5*q**2 + 1810*q + 5475. -5*(q - 365)*(q + 3) Find x, given that -260*x**4 + 3128*x**3 + 3804*x**2 - 6880*x + 208 = 0. -2, 2/65, 1, 13 Factor l**2/2 - 26839*l + 53677/2. (l - 53677)*(l - 1)/2 Factor -2*u**2/11 - 8086*u/11 - 232812/11. -2*(u + 29)*(u + 4014)/11 Factor -5*v**2 - 52410*v - 209560. -5*(v + 4)*(v + 10478) Suppose -x**2 + 1149*x - 29198 = 0. What is x? 26, 1123 Factor -8*w**2 + 306862*w + 76716. -2*(w - 38358)*(4*w + 1) Factor -j**3/2 - j**2 + 88*j + 336. -(j - 14)*(j + 4)*(j + 12)/2 Factor 5*h**4 - 4785*h**3 + 1147200*h**2 - 1142420*h. 5*h*(h - 478)**2*(h - 1) Suppose 27*y**4/5 - 54387*y**3/5 + 14487*y**2 + 66423*y/5 + 12078/5 = 0. What is y? -1/3, 2, 2013 Solve 5*a**3 + 990*a**2 - 16845*a + 58850 = 0 for a. -214, 5, 11 Factor 16*t**2 + 64306*t + 8038. 2*(t + 4019)*(8*t + 1) Find g, given that 4*g**3/7 - 23986*g**2/7 + 632766*g/7 + 322380/7 = 0. -1/2, 27, 5970 Suppose 891*z**4 - 16800*z**3 - 20277*z**2 - 2466*z + 120 = 0. What is z? -1, -2/11, 1/27, 20 Suppose d**2/4 - 2473*d/4 + 3705/2 = 0. What is d? 3, 2470 Factor 2*q**2/3 - 5698*q/3 - 13328. 2*(q - 2856)*(q + 7)/3 Factor l**5/2 + 780*l**4 + 310344*l**3 + 4767872*l**2. l**2*(l + 16)*(l + 772)**2/2 Let -21*i**4/4 + 2661*i**3/4 - 4509*i**2/4 + 1119*i/4 + 375/2 = 0. Calculate i. -2/7, 1, 125 Factor -5547*t**2/2 + 202788*t - 3706776. -3*(43*t - 1572)**2/2 Factor -67*l**3 + 2074*l**2 - 5535*l - 252. -(l - 28)*(l - 3)*(67*l + 3) Factor -5*p**2 + 267665*p + 3748290. -5*(p - 53547)*(p + 14) Factor 5*r**2 + 329830*r + 5439391445. 5*(r + 32983)**2 Suppose 2*y**2/7 + 3335116*y/7 + 1390374841682/7 = 0. What is y? -833779 Let r**4/3 - 1246*r**3/3 + 4973*r**2/3 - 6212*r/3 + 828 = 0. What is r? 1, 2, 1242 Let -3*d**3/2 - 237*d**2/2 + 19359*d/2 - 290871/2 = 0. What is d? -133, 27 Factor -3*w**3 + 3756*w**2 - 1179375*w + 2343750. -3*(w - 625)**2*(w - 2) Let -4527*h**3/2 - 176547*h**2/2 + 185724*h - 246 = 0. What is h? -41, 2/1509, 2 Solve 5*q**3 + 975*q**2 + 63135*q + 1358165 = 0. -73, -61 Factor -p**3 - 688*p**2 + 15643*p + 16330. -(p - 23)*(p + 1)*(p + 710) Factor 3*y**3 + 1170*y**2 - 22089*y - 23256. 3*(y - 19)*(y + 1)*(y + 408) Factor b**3/3 + 1096*b**2/3 + 11909*b/3 - 28210/3. (b - 2)*(b + 13)*(b + 1085)/3 Factor -4*h**2/7 + 3292*h/7 - 16360/7. -4*(h - 818)*(h - 5)/7 Factor -f**4/3 + 1988*f**3 - 8880388*f**2/3 - 11864384*f - 35617024/3. -(f - 2984)**2*(f + 2)**2/3 Solve 2*p**5/13 - 169586*p**4/13 + 4792952568*p**3/13 - 3472555435776*p**2 - 225807180447744*p/13 - 271003131901152/13 = 0 for p. -3, -2, 28266 Let -4*t**2 + 16056*t - 16112196 = 0. What is t? 2007 Factor -4*z**2 - 55768*z - 55764. -4*(z + 1)*(z + 13941) Factor k**3/2 - 3785*k**2/6 + 10673*k/3 + 1256. (k - 1256)*(k - 6)*(3*k + 1)/6 Let -b**3 + 100*b**2 + 864*b = 0. Calculate b. -8, 0, 108 Factor 243*d**2 + 31482*d + 1019667. 3*(9*d + 583)**2 Factor -b**3/6 - 22912*b**2/3 - 137465*b/6 - 45821/3. -(b + 1)*(b + 2)*(b + 45821)/6 Factor 5*a**3 + 1314245*a**2 + 86360024600*a - 259091902140. 5*(a - 3)*(a + 131426)**2 Find j, given that -4*j**3 + 1560*j**2 - 49572*j + 411536 = 0. 17, 356 Factor -3*u**3 + 75438*u**2 - 474165540*u - 948632856. -3*(u - 12574)**2*(u + 2) Let 4*y**4 - 108*y**3 - 2640*y**2 - 4816*y = 0. What is y? -14, -2, 0, 43 Suppose -2*k**4/3 + 1600*k**3/21 + 2834*k**2/21 - 5812*k/21 + 464/7 = 0. What is k? -3, 2/7, 1, 116 Factor -4*g**2 - 92804*g + 92808. -4*(g - 1)*(g + 23202) Suppose 4*p**3 + 8072*p**2 - 4*p - 8072 = 0. Calculate p. -2018, -1, 1 Suppose 2*t**2 - 88616*t + 981599432 = 0. Calculate t. 22154 Find k, given that 2*k**3/19 - 610*k**2/19 + 44366*k/19 - 43758/19 = 0. 1, 117, 187 Determine b, given that -b**3/4 + 29*b**2 - 801*b + 6480 = 0. 18, 80 Factor -4*n**3 - 210*n**2 + 550*n. -2*n*(n + 55)*(2*n - 5) Let 156*s**4 + 5073*s**3 + 15855*s**2 - 2994*s - 31320 = 0. Calculate s. -29, -36/13, -2, 5/4 Let -5*q**2 - 177960*q - 1583488080 = 0. What is q? -17796 What is v in -6*v**5 + 260*v**4 - 3776*v**3 + 20916*v**2 - 41242*v + 11560 = 0? 1/3, 4, 5, 17 Suppose 12*y**5 + 158*y**4 + 158*y**3 - 134*y**2 - 170*y - 24 = 0. What is y? -12, -1, -1/6, 1 Factor -j**3/3 - 628*j**2/3 - 32655*j + 66150. -(j - 2)*(j + 315)**2/3 Let -2*r**4/9 - 118*r**3/9 + 638*r**2/3 - 9290*r/9 + 14600/9 = 0. What is r? -73, 4, 5 Factor -h**2/3 - 251*h + 754/3. -(h - 1)*(h + 754)/3 Find d, given that d**5 - 667*d**4 - 1338*d**3 - 2*d**2 + 1337*d + 669 = 0. -1, 1, 669 What is a in 4*a**4 - 196*a**3 + 1876*a**2 + 3300*a - 12600 = 0? -3, 2, 15, 35 Let -30910*r**4/9 - 506944*r**3/9 - 725464*r**2/3 - 792704*r/9 - 512/9 = 0. What is r? -8, -2/5, -2/3091 Factor -3*m**2/2 - 50334*m - 100665/2. -3*(m + 1)*(m + 33555)/2 What is n in 5*n**3 - 610*n**2 - 508845*n - 1520910 = 0? -262, -3, 387 Solve -5*g**4 - 1540*g**3 + 18975*g**2 - 71750*g + 80000 = 0. -320, 2, 5 Suppose 2*o**4 + 383916*o**3 + 1151736*o**2 + 1151732*o + 383910 = 0. What is o? -191955, -1 Suppose -4*c**3 - 41588*c**2 = 0. What is c? -10397, 0 Suppose 2*t**4/7 - 260*t**3/7 + 766*t**2/7 - 508*t/7 = 0. Calculate t. 0, 1, 2, 127 Factor -20*t**2/7 + 73*t/7 + 135/7. -(t - 5)*(20*t + 27)/7 Find t, given that -3*t**4 + 102*t**3 - 255*t**2 - 3600*t + 13500 = 0. -6, 5, 30 Let t**3/2 - 24235*t**2 - t/2 + 24235 = 0. Calculate t. -1, 1, 48470 Factor -x**2 - 13473*x + 53908. -(x - 4)*(x + 13477) Factor 23*j**2/8 - 9758*j + 1697/2. (j - 3394)*(23*j - 2)/8 Factor -634*b**2 + 9506*b + 60. -2*(b - 15)*(317*b + 2) Factor 3*a**3/7 + 264*a**2 - 3708*a/7. 3*a*(a - 2)*(a + 618)/7 Factor -292*x**2 - 5296*x - 720. -4*(x + 18)*(73*x + 10) Let 2*o**3 - 64088*o**2 + 513408968*o = 0. What is o? 0, 16022 What is g in 8*g**5/11 - 30*g**4 + 3274*g**3/11 - 5046*g**2/11 - 6714*g/11 + 1944/11 = 0? -1, 1/4, 3, 12, 27 Factor -r**2 - 14698*r - 14697. -(r + 1)*(r + 14697) Determine s so that -2*s**4/13 - 1002*s**3/13 - 4964*s**2/13 - 1968*s/13 + 7936/13 = 0. -496, -4, -2, 1 Suppose 4*s**4/7 + 268*s**3/7 + 6392*s**2/7 + 62480*s/7 + 197472/7 = 0. Calculate s. -22, -17, -6 Determine h, given that h**3 + 697*h**2 + 101728*h - 7133676 = 0. -374, 51 Factor -26*i**2 + 7850*i + 16416. -2*(i - 304)*(13*i + 27) Factor 6*r**2/7 - 48*r - 19872/7. 6*(r - 92)*(r + 36)/7 Factor -4*h**2/5 - 248*h - 4640. -4*(h + 20)*(h + 290)/5 Factor 5*c**2 + 1379955*c - 2759930. 5*(c - 2)*(c + 275993) What is u in -45*u**5 - 1465404*u**4 + 10746599*u**3/5 - 5894402*u**2/5 + 286580*u - 130264/5 = 0? -32566, 1/3, 2/5 What is z in 4*z**3/5 + 1488*z**2 - 52308*z/5 - 59744/5 = 0? -1867, -1, 8 Factor 5*z**2/3 - 415*z + 13090/3. 5*(z - 238)
{ "pile_set_name": "DM Mathematics" }
en b is divided by 3. 2 Let x(f) = -f**3 + 7*f**2 - 6*f + 1. Calculate the remainder when 4 is divided by x(6). 0 Let n(i) = i**2 + 11*i + 37. Calculate the remainder when n(0) is divided by 20. 17 Suppose 0*u + 2*u - 22 = -3*g, 4*u + 2*g - 52 = 0. What is the remainder when 54 is divided by u? 12 Let z(m) = -2*m**3 - 2*m**2 + 2. Let d be z(-3). Let v = -13 + d. Suppose 34 = 2*i - 2*r - 0*r, 0 = 4*r + 16. What is the remainder when v is divided by i? 12 Suppose -g = -3*g - 10, -3*y + 5*g = -34. Suppose -3*u - o = 3*o - 89, -5*u - y*o = -141. Calculate the remainder when 51 is divided by u. 24 Suppose 3*n = -2*n - 5. Let c be (-59)/(-3)*(4 + n). Suppose 4*g + 11 = c. What is the remainder when 21 is divided by g? 9 Let f = 27 - 16. Let s be 0 + 0 + -2 + 4. Suppose 2*u + s*r - 44 = 0, 5 = -u + r + 25. What is the remainder when u is divided by f? 10 Let d = 3 - 1. Suppose 3*f + 3*s = s + 8, -d*f + 2 = 2*s. Let b = -284 - -300. What is the remainder when b is divided by f? 4 Suppose 0 = 4*m + 3*v - 3, -v + 7 = 3*m + 1. Suppose m = w - 19. Calculate the remainder when 43 is divided by w. 21 Let n be 2 + 14 - 2 - -1. Let a = n + 22. What is the remainder when a is divided by 13? 11 Let g = 2 - 0. Let d(f) = f**3 + 5*f**2 + f + 3. Let o be d(-5). Let z(q) = 2*q**2 + 4*q + 2. What is the remainder when z(o) is divided by g? 0 Let h(b) = -b**3 - 6*b**2 + 3*b + 9. Calculate the remainder when h(-7) is divided by 10. 7 Suppose v = 15 + 11. What is the remainder when v is divided by 6? 2 Suppose 6*z = 5*a + 5*z - 14, 4*a = -2*z. Suppose 0 = 2*g + g + 15, -a*c - g + 75 = 0. What is the remainder when c is divided by 21? 19 Suppose 4 = 4*s - 0. Suppose 3 - 8 = -5*n. Calculate the remainder when s is divided by n. 0 Suppose -5 - 7 = 4*z. Let u = z - -7. What is the remainder when 9 is divided by u? 1 Suppose 0 = -2*g - 6, -13 = -o - 0*g + 2*g. Suppose o*x - 55 = 2*x. Calculate the remainder when x is divided by 6. 5 Let h(a) = -a - 4. Let s(t) = t - 1. Let g be s(-5). Let k be h(g). Suppose 33 - 9 = k*d. What is the remainder when d is divided by 7? 5 Let k(o) = o + 32 - 2*o + o**2 + 0*o. Let q be k(0). Suppose q - 8 = 4*p. Calculate the remainder when 22 is divided by p. 4 Suppose 21 = 5*w - 4*w. Let s be (w/(-12))/((-1)/4). Let y = s - 4. Calculate the remainder when 8 is divided by y. 2 Let i = -116 - -52. Let g(k) = -k**3 + 2*k**2 + 3*k + 1. Calculate the remainder when (-1 - i/2)/1 is divided by g(-2). 9 Suppose -w + 6 = 4*u, 2*w = -4*u - 1 + 5. What is the remainder when -3 + 2 + 6 + -1 is divided by u? 0 Let p(s) = -s**2 + 14*s + 7. What is the remainder when p(14) is divided by 5? 2 Suppose -4*d + 14 = -2*m + 3*m, 0 = -4*m - 2*d + 28. Calculate the remainder when 11 is divided by m. 5 What is the remainder when 160 is divided by 25 - (-1 - -3)/(-1)? 25 Let d = 40 - 1. Let t(q) = -q**3 - 3*q**2 - 4*q - 2. What is the remainder when d is divided by t(-3)? 9 Let r(n) = -2*n**3 + 4*n + 3. Suppose -3*b = -8*b - 10. Calculate the remainder when 20 is divided by r(b). 9 Let q = 6 - 1. Suppose 0 = 3*y - 3*g - 123, -q*y + g - 2*g = -187. Suppose 67 = t + 3*t + 5*f, 0 = 2*t - 2*f - y. What is the remainder when 52 is divided by t? 16 Suppose 2*h = -4*b + 46, 2*h = -2*h - 2*b + 122. Suppose -h = -4*w + w. Calculate the remainder when (-126)/(-4) + (-1)/(-2) is divided by w. 10 Let d(p) = 3*p**2 + p. Let x be d(-1). Let g(m) = -m**3 + m**2 - m + 26. Calculate the remainder when g(0) is divided by x/4*36/2. 8 Suppose 4 = -3*r + 1, -173 = -5*t - 2*r. What is the remainder when t is divided by (-3 + 15)/(-2)*-2? 11 Suppose -139 - 165 = -8*q. Calculate the remainder when 74 is divided by q. 36 Let j = -7 - -18. Suppose -4*v = h - 2*v - 12, 5*v = -h + 9. Let m = h + -8. Calculate the remainder when j is divided by m. 5 Let m = 30 - -1. What is the remainder when m is divided by 11? 9 Suppose 0 = -7*q + 3*q + 256. Let z = 45 - 32. Calculate the remainder when q is divided by z. 12 Let y be (-1 - 74) + 1/1. Let a = -33 - y. What is the remainder when a is divided by 14? 13 Let w = 15 - 2. Let o = 6 + -8. What is the remainder when (-3)/o*(-50)/(-3) is divided by w? 12 Let s be -1*(1 - 9 - 1). Let j = -4 + s. Suppose 0*z + 70 = j*z. Calculate the remainder when z is divided by 5. 4 Suppose -8 = -3*y - 5*m, -4*y + 0*m = -2*m - 54. Calculate the remainder when 42 is divided by y. 9 Suppose 2*b + a = -2*b + 8, 5*b + a = 9. Suppose -5*z + 0*z + 17 = -2*c, -2*z - 4*c + 2 = 0. What is the remainder when b is divided by ((-10)/(-4) - z)*-2? 0 Let g = -2 + 5. Suppose -2*f = 3*r - 4*f - 6, f - 11 = -2*r. Calculate the remainder when r is divided by g. 1 What is the remainder when 63 is divided by ((-132)/(-21))/((-8)/(-28))? 19 Let k = -33 - -15. Let h = 43 + k. Let g = 23 - 16. Calculate the remainder when h is divided by g. 4 Suppose -i - 4 + 21 = 0. What is the remainder when i is divided by 3? 2 Let u(n) = 25*n**2 + 5*n + 4. What is the remainder when u(-2) is divided by 19? 18 Let i = 3 - -20. Calculate the remainder when i is divided by 13. 10 What is the remainder when 12 is divided by (35/(-10))/((-20)/(-8) + -3)? 5 Let g(w) = 77*w**3 + w. Calculate the remainder when g(1) is divided by 16. 14 Suppose -3 = -2*t + 11. Suppose l - 6*l + 5*v = 235, 0 = 5*v - 25. Let w = -29 - l. What is the remainder when w is divided by t? 6 Calculate the remainder when (-74)/(-3) + (-3)/(-9) is divided by 7. 4 Let i(l) = l - 3. Let g be i(3). Suppose g*a = 2*a. Suppose 4 = 2*c - a*c. What is the remainder when 4 is divided by c? 0 Suppose -y - 98 = -6*y - d, 5*y - 3*d - 86 = 0. Let x be 1/4 - 1/4. Suppose -3*r + 0 + 21 = x. What is the remainder when y is divided by r? 5 Let c = -16 - -34. What is the remainder when c is divided by 5? 3 Suppose -2*n + 20 = -6*x + 4*x, 74 = 5*n + 3*x. What is the remainder when 23 is divided by n? 10 Suppose -3*g + 47 = -3*j + 17, 0 = -4*j - 16. Let v = -9 + g. Let m = -1 - v. What is the remainder when m is divided by 2? 0 Let w be (4/(-10))/((-3)/(-90)). What is the remainder when 81 is divided by ((-21)/w)/((-2)/(-32))? 25 Calculate the remainder when 32 is divided by 8/44 - (-3 - (-60)/(-33)). 2 Suppose -111 = -6*q + 3*q + 4*v, -4*q + 138 = -2*v. Suppose 2*k - 19 = q. What is the remainder when k is divided by 9? 8 Let z = -7 - -7. Suppose z = 2*k + 10, 0 = 4*j - 4*k - 0*k - 24. Suppose j = 2*c - 5, -3*g = -c - 99. What is the remainder when g is divided by 9? 7 What is the remainder when 87 is divided by (10/4)/(4/24)? 12 Let u = -10 - -12. Suppose 3*s - 20 = -u*s. Suppose z + 3*z - 44 = 0. What is the remainder when z is divided by s? 3 Let s = -20 + 21. Suppose -44 = -2*w + 4. Calculate the remainder when w is divided by 10 - 1 - (-4)/s. 11 Calculate the remainder when (39/9)/((-5)/6 - -1) is divided by (-14)/3*(-1 + -2). 12 Let g = 36 + -38. Let d = 6 + 13. Let n = g + d. Calculate the remainder when 33 is divided by n. 16 Let q = 58 - 34. What is the remainder when q is divided by 13? 11 Suppose -5*r = -15, -2*d + 4*r = -d - 14. What is the remainder when d is divided by 7? 5 Suppose -94 = -5*u - b, 4*u + b - 3*b - 64 = 0. Suppose 0 = -2*i + 140 - 2. Calculate the remainder when i is divided by u. 15 Suppose -4*v + 8 + 0 = 0. Let n(d) = 4*d**2 - 1. Let x be n(1). Let w = v + x. What is the remainder when 9 is divided by w? 4 Let l(y) = -16*y**2 + 11*y**2 - 5 + 7*y**2. What is the remainder when l(4) is divided by 14? 13 Let q(l) = -2*l + 1. Calculate the remainder when 60 is divided by q(-10). 18 Let y = -6 + 1. Let l(b) = -4*b + 17. Let m(u) = -u - 1. Let r(f) = y*m(f) + l(f). What is the remainder when 25 is divided by r(-9)? 12 Let p be 3 - (0 + 1 + -27). Let u = p - -18. What is the remainder when u is divided by 12? 11 Suppose 4*z - 1112 = 4*u, -z - 23 - 795 = 3*u. Calculate the remainder when 4/(-30) + u/(-30) is divided by 5. 4 Let a(c) = 23*c**2 - 2*c + 1. Calculate the remainder when -1*(1 + 0) + 87 is divided by a(1). 20 Suppose -5*y - 4*c = 3, -4*y - c = -2*c - 6. Let w be (y - 0) + -4 + 3. Suppose w = -5*t - 33 + 238. What is the remainder when t is divided by 14? 13 Suppose -35 = -3*c + i + i, -c = 5*i - 40. Calculate the remainder when 44 is divided by c. 14 Calculate the remainder when (273/14)/((2/2)/6) is divided by 40. 37 C
{ "pile_set_name": "DM Mathematics" }
pose 2*y + 15 = -5*b, -3*y + 0*y + 2*b - 13 = 0. Let n be h(y). Calculate w(n). -6 Let y(x) = -7*x**2 + 2*x + 2. Let v = 97 + -95. Calculate y(v). -22 Let z(m) = -m**2 + m + 1. Suppose 4*n + 118 = 3*u, u = 4*u - n - 106. Let l = 14 - u. Let k = l - -23. Give z(k). -5 Let y(i) be the first derivative of 6*i + 3/2*i**2 - 1/3*i**3 - 30. Give y(5). -4 Suppose 2*a - 1 = r - 2*r, -13 = -5*r - 2*a. Let u(f) be the second derivative of 0 + 1/6*f**r - 2*f + 3/2*f**2. What is u(-4)? -1 Let y(p) = 525*p - 1063*p + 540*p - 10. Calculate y(13). 16 Let f = -6 - -3. Suppose 4*y = y + 6. Let c(a) = -2*a**y + 1 + 6*a**2 - 5*a**2 - 2*a - 2*a. Calculate c(f). 4 Let l(v) = -6 - 4*v**2 + 3 + v**3 + 2 - 1. Calculate l(3). -11 Let q be (-5 - -10) + -2*1. Let c(d) = -2*d + 3. Let m(h) = -h + 2. Let b(n) = 3*c(n) - 5*m(n). Calculate b(q). -4 Let o(z) = 32*z - 2. Let h be (-7)/(21/2)*3/2. What is o(h)? -34 Let x(z) = z**3 - 4*z**2 - 6*z - 3. Suppose -4*h + 16 = -7*n + 4*n, -5*n = 5*h - 20. Suppose 4*o = 5*g + 30, 3*o = -n*g - 2*g + 11. Calculate x(o). -8 Let u(g) = g**2 + g + 2. Let d(k) = -4*k**2 - 10*k - 3. Let y(v) = d(v) + 5*u(v). What is y(7)? 21 Let o(y) = -y**2 - y + 1. Let h(x) = 5*x**2 - 2*x + 2. Let v(t) = h(t) + 4*o(t). Let d(m) = m + 34. Let b be d(-15). Suppose 0 = -6*j + 55 - b. What is v(j)? 6 Let w = 894 + -893. Let x(d) = 7*d**2 + d - 1. Determine x(w). 7 Let l(j) = -j**3 - 7*j**2 - 8*j - 1. Suppose -11*f - 12 = -9*f. Determine l(f). 11 Suppose -26 = -2*b + 3*p, -p - 3*p - 48 = -4*b. Let c(u) = -u + 13. What is c(b)? 3 Let k = 30 - 20. Let c = -7 + k. Let y(r) = 9*r**c + 3*r + 1 - 4*r - r. What is y(1)? 8 Let z(a) = 183*a**2 - 66*a + 17. Let g(b) = -46*b**2 + 15*b - 4. Let h(k) = 9*g(k) + 2*z(k). Give h(1). -47 Let x(a) = -5 - 44*a + 6 + 0 + 50*a. Calculate x(1). 7 Let i(w) = -w**3 + 3*w**2 - 2*w + 3. Let r be i(2). Let f(u) be the first derivative of -u**2/2 - 490. Calculate f(r). -3 Let u(c) = 1. Let n(p) = 6. Let t(a) = n(a) - 5*u(a). Let o(x) = x - 11. Let q(g) = -o(g) - 6*t(g). Let h be 69/15 - 2/(-5). Give q(h). 0 Let t(j) = -10*j + 1 - 8*j + 24*j - 7*j. Suppose 42 - 18 = -6*i. Calculate t(i). 5 Let v = -283 - -289. Let o(k) = -5*k - 4. What is o(v)? -34 Let r(x) be the first derivative of -x**4/4 + x**3/3 + 3*x**2/2 + 3*x - 4195. Suppose 4*m = 3*m - 3. Let l be (1 - 0) + (m - -5). What is r(l)? -6 Let p(f) = -f + 2. Let c = 1819 + -1818. What is p(c)? 1 Let i(f) = 736 + f - 370 - 368. Determine i(0). -2 Let i = -65 - -73. Let n(s) = s**2 - 5*s + 3. What is n(i)? 27 Let v(t) = -t + 1. Suppose 0 = -j + 2*l + 2*l + 23, 4*j + 5*l - 8 = 0. Suppose j*b - 5 = 2*b. Determine v(b). 0 Let p(l) = 7*l**2 + 5*l + 1. Let x(d) = -10*d**2 - 8*d - 2. Let q(k) = -7*p(k) - 5*x(k). Suppose 2*s - 21 = s + 5*h, 0 = -2*s - 3*h - 23. Calculate q(s). -1 Let j(v) = v**2 + 5*v. Suppose -5*f + 38 = -137. Let g = f - 42. Calculate j(g). 14 Let d = -3301 - -3299. Let q(x) = 2*x**2 - 5*x**3 + 4 - 2 - 3*x**2 + 2*x. Give q(d). 34 Let q be 48/2*14/(-28). Let i(a) = -a**2 - 9*a. Let y be i(q). Let j = 30 + y. Let m(b) = -3*b - 8. What is m(j)? 10 Let f = -55 - -48. Let h = 8 + f. Let z(w) = 2*w. Calculate z(h). 2 Suppose -3*x = -2*u - 12, 4*u + 12 + 12 = 5*x. Let p(t) = t**3 + 6*t**2 - 2*t + 5. What is p(u)? 17 Let b(y) = y**3 + 2*y**2 - 4*y - 2. Let v be b(-3). Let u(t) be the second derivative of -5/3*t**3 + 17*t + 0 + 0*t**2. What is u(v)? -10 Let j(y) = -3*y**2 - 5*y + 2*y**2 + 1140 - 1141. Calculate j(-2). 5 Let p(h) = h + 5. Suppose 3*j - 11 = 1. Let m be 54/10 - j/10. Suppose -4*s + b + 16 = 44, m*s + 34 = b. Give p(s). -1 Let d(m) = -9*m**2. Let v(w) be the first derivative of -6 + 2*w**2 + w**3 + 1/4*w**4 + 3*w. Let b be v(-2). Calculate d(b). -9 Let x(k) = k**2 - 8*k - 4. Let l be x(8). Let z(f) be the second derivative of 1/6*f**3 + 2*f + 0 - f**2. Give z(l). -6 Let z(k) be the second derivative of 2*k**3/3 - k**2/2 - k. Let m = 86 - 86. Suppose 2*l - l + 3 = m. Calculate z(l). -13 Let f(x) = -3*x - 2. Let o be f(-2). Let p = -3 + o. Let g(r) = 8*r - 6. Let y(w) = -w + 1. Let n(b) = g(b) + 5*y(b). Determine n(p). 2 Let s(q) = q**3 + q**2 + 2*q + 4. Suppose -4*u = -5*o - 19 + 39, -3*o = -2*u - 12. What is s(u)? 4 Let x = 10 - 7. Suppose a = -4*a - x*v + 13, -2*v + 12 = 4*a. Suppose -8 = a*k + 2. Let t(f) = -4*f + 1. Give t(k). 9 Suppose -2*z + 4*k + 8 = 0, -4*z - 11 = 2*k - 17. Let n(t) = 5*t**2 - 6*t - 1. What is n(z)? 7 Let l be 2 + (0/(-2))/(-1 + 2). Let g(a) = -2*a**2 + 5 - 5*a - 5 + a**l + 8. Calculate g(-6). 2 Suppose -19 - 17 = -12*a. Let l(n) = n**3 + 6*n**2 + 3*n - 3. Let b be l(-5). Let i(q) = 0 + q**3 - 2 + a*q + 2*q**2 - b*q. Give i(-3). 1 Let s(z) be the third derivative of z**4/2 + 5*z**3/6 + 412*z**2. Determine s(3). 41 Let v(m) be the third derivative of -m**5/20 + m**4/12 + m**3/6 + 2*m**2 + 66. Determine v(-2). -15 Let i(r) = -r**3 + 4*r**2 + 2. Let o be (0 - 3)/(3/(-6)). Let d(l) = -l**3 + 3*l**2 - l - 2. Let q be d(2). Suppose q = -a + o - 2. Give i(a). 2 Let t(i) be the second derivative of 3*i + 0 + 6*i**2 + 1/12*i**4 + 1/6*i**3. Calculate t(0). 12 Suppose -7*m + 12 = -3*m. Suppose -3*k = m*p - k - 2, 2*k = 5*p + 2. Let d(j) = -1 - 7 + p - j. What is d(0)? -8 Let t(u) = -3*u**3 - u. Let y be t(1). Let j be 54/(-12) + 2/y. Let f(s) be the second derivative of -s**5/20 - 5*s**4/12 + s**3/6 + s - 20. Give f(j). -5 Suppose -3*o = 2*o - o. Let c(b) = 7 + 2*b**2 - 6 + 4*b + o - 3*b. What is c(3)? 22 Let b(j) be the first derivative of 1 - 3*j - 1/3*j**3 + 0*j**2. Calculate b(0). -3 Let u(p) be the second derivative of -p**3/3 - 7*p**2/2 - 5*p. Let z be u(-6). Let x(t) = z - 6*t + 0*t**2 - 2 - t**2 - 4. What is x(-5)? 4 Let b(g) = -2*g + 4. Let f = 8 + -5. Suppose -49 = 4*u - 65. Suppose -u*j = -9*j, -w = -3*j + f. Calculate b(w). 10 Suppose 2*k - 4*q = 6*k, -4*q = 0. Let y(x) = x**3 + x**2 + x - 1. Let a(c) = 81 - 37 - 43. Let h(o) = 6*a(o) - y(o). Give h(k). 7 Suppose 30 = 3*u - 0*u. Let j(q) = -q**3 + 10*q**2 - 6. Determine j(u). -6 Let n = -1840 - -1839. Let a(x) = 5*x. Give a(n). -5 Suppose -4*k - 2 = 5*l + 14, 3*l + 8 = -2*k. Let a(m) = -2*m + 6*m + 6 + 0 - 1. Calculate a(k). -11 Suppose 2*v + p + 10 = -4, 2*v = 3*p - 14. Let n(w) = w + 4. What is n(v)? -3 Suppose i - 15 = -3*f, 3*i = -5*f + 10 + 15. Suppose i = -0*w - 5*w + 20. Suppose 8*c + 20 = w*c. Let l(k) = k**2 + 6*k + 3. Give l(c). -2 Suppose 0 = -4*x - 5*p + 10 + 3, -2*x + 3*p = -1. Suppose x*r - 4*b = -10, 0 = 4*r + 3*b + 7 - 31. Let v be -3 - 4/(r - 4). Let l(a) = 8*a. What is l(v)? 8 Let q(k) be the third derivative of -k**6/120 - k**5/12 - k**4/6 - k**3 + 168*k**2. What is q(-4)? -6 Suppose 2*w - 7*w - 15 = 0. Let q = 2 - w. Suppose 3*o = -3*p - 2*o - 1, -15 = q*p - 5*o. Let h(k) = k**2 - 2*k + 1. What is h(p)? 9 Suppose 48*s = 44*s + 4. Let x be 5/((-2 - s)/(-3)). Let v(o) = -o**2 + 6*o. Determine v(x). 5 Let a(c) be the third derivative of 0 - 4*c**2 - 1/24*c**4 + 0*c + 0*c**3. Give a(-4). 4 Let p(a) = a - 16. Suppose 2*k + 4*s = 26, -4*k + 3*s + 52 + 0 = 0. Calculate p(k). -3 Let y(k) = k**2 + 14*k + 39. Let a be y(-9). Let f(s) = -2*s**2 - 2 + 4*s**2 + s**3 - 6*s + 3*s**2 + 6. Determine f(a). 4 Let m(v) = 3*v - 2*v + 34 - 24. Let j be m(-9). Let l(r) = r**3 + r**2. Give l(j). 2 Let h(i) = -23*i - 1. Let c(q) = -57*q - 3. Suppose 8*z = 60 + 36. Let f(x) = z*h(x) - 5*c(x). What is f(-2)? -15 Let j(f) = -7 - 8 + 14. Let v(k) = 2*k**2 - 2*k - 10. Let r(m) = -12*j(m) + v(m). Give r(2). 6 Let g(q) = q**2 + 8*q - 5. Let r(u) = 2*u**2 + 17*u - 8. Let d(i) = 11*g(i) - 6*r(i). Calculate d(-6). 41 Let u(i) = 6*i + 13. Let a(m) = 2*m + 11. Let s(f) = -5*a(f) + 4*u(f). Give s(-2). -31 Let f(i) = 10*i**2 + 3*i - 14. Let t(m) = 11*m**2 + 2*m - 11. Let a(n) = 4*f(n) - 5*t(n). Calculate a(1). -14 Let s(x) = 4*x**3 - x**2 + 2*x - 1. Let y(c) = c**2 + 2*c - 7. Let i be y(-4). Determine s(i). 4 Let p(b) be the second derivative of b**3/3 - 5*b**2 + 15*b + 2. Calculate p(9). 8 Let h(c) = 4*c**3 + c**2 - 4*c + 4. Let q(m) = -7*m**3 - 2*m**2 + 8*m - 7. Let r(w) = 5*h(w) + 3*q(w). Suppose -48 = 6*f + 10*f. Determine r(f). 5 Let w(r) = r**2 - 2*r - 1. Let z = 65 + -49. Let c be z/72 + (-2)/(54/33). Give w(c). 2 Let d be ((-17)/(-17))/((-2)/14). Let i(w) = w**2 + w. Let c(b) = -6*b**2 - 11*b + 9. Let l(
{ "pile_set_name": "DM Mathematics" }
e q(0). What is the first derivative of 4 + k - a**4 + 2*a**4 wrt a? 4*a**3 Let q(x) be the second derivative of -563*x**7/42 + 59*x**4/12 - x**3/2 - 46*x. What is the third derivative of q(t) wrt t? -33780*t**2 Let q = 874 - 874. Let x(d) be the second derivative of -11*d + 0 + 9/20*d**5 + d**4 + q*d**3 + 0*d**2. Find the third derivative of x(y) wrt y. 54 Let p(q) be the third derivative of 0*q**3 + 2/21*q**8 + 0 + 0*q**4 + 0*q + 19*q**2 + 0*q**6 + 0*q**7 + 7/30*q**5. What is the third derivative of p(h) wrt h? 1920*h**2 Let p(w) = w**3 - 16*w**2 + 6*w - 16. Let x be p(16). What is the third derivative of -80*r - r**2 + x*r - 7*r**6 wrt r? -840*r**3 Let y(d) = -d**3 - 16*d**2 + d + 22. Let z be y(-16). What is the third derivative of x**4 + z*x**2 + 12*x + 0*x**4 - 12*x wrt x? 24*x Let a = -96 + 198. Find the first derivative of 101 + a + 0*i - 171 - i wrt i. -1 Let u be ((-160)/2)/(-2) - (-19 + 17). Find the second derivative of 21*l + u*l**5 + 17*l**5 - 10*l**5 wrt l. 980*l**3 Find the second derivative of 7 - 695*b + 26*b + 728*b**2 - 4 - 3 wrt b. 1456 Suppose -5*q + 44 = -4*t - 46, -q + 2*t = -24. What is the third derivative of -10*o**6 + q*o**6 + 8*o**6 - 2*o**2 wrt o? 1440*o**3 Let k(a) be the first derivative of -148*a**3/3 + 28*a + 183. What is the first derivative of k(l) wrt l? -296*l Let l(t) = t**2 + t + 2. Let w(r) = 514*r**2 + 152*r - 8. Let a(v) = -4*l(v) - w(v). What is the second derivative of a(i) wrt i? -1036 Let r(j) = -4611*j**2 + 7163*j. Let o(x) = -128*x**2 + 199*x. Let y(l) = -145*o(l) + 4*r(l). What is the second derivative of y(b) wrt b? 232 Let f(u) = 11*u**4 - 5*u**3 + 17*u**2 + 142. Let o(b) = 16*b**4 - 7*b**3 + 25*b**2 + 212. Let j(n) = -7*f(n) + 5*o(n). What is the derivative of j(g) wrt g? 12*g**3 + 12*g Let g be 4/(((-28)/3)/(-7)). Find the second derivative of -14*y**g + 14*y**3 + 2*y**4 - 10*y**4 + 3*y wrt y. -96*y**2 What is the third derivative of -19*c**6 - 8*c**6 + 23*c**6 + 156*c**2 - 17*c**6 wrt c? -2520*c**3 Suppose 1 = -y + 3. What is the second derivative of -96*f - 19*f**y + 16*f + 39*f wrt f? -38 Let t(p) = -2*p - 9. Let z(f) = -f + 1. Let d be z(7). Let l be t(d). Find the second derivative of 3*v**3 + v**3 - 4*v + 0*v**l wrt v. 24*v What is the second derivative of -202*v**3 + 164*v + 175*v**3 + 4*v**4 - 5*v**4 wrt v? -12*v**2 - 162*v What is the third derivative of 9*m**6 - 41*m**6 - 1 - 41*m**2 - 39*m**2 + 89*m**2 - 20*m**6 wrt m? -6240*m**3 Suppose 0 = 3*x - 0*x - 9. What is the second derivative of -831*l**x + 814*l**3 + 7*l + 8*l wrt l? -102*l Let r(n) = n. Let h(g) = -11*g**2 - 3*g + 17. Let m be (12/24)/((-1)/(-6)). Let f(z) = m*r(z) + h(z). What is the first derivative of f(i) wrt i? -22*i Let w = -7 - -12. Suppose w - 1 = 2*q. Find the second derivative of 6*m - m**2 - q*m**5 + 3*m + m**2 wrt m. -40*m**3 Let k(x) be the second derivative of 0*x**4 - 1/6*x**6 + 0*x**2 + 36*x + 19/3*x**3 + 0*x**5 + 0. What is the second derivative of k(m) wrt m? -60*m**2 Let g(y) be the first derivative of -y**4/2 - 64*y**3 + 42*y - 242. Find the first derivative of g(d) wrt d. -6*d**2 - 384*d Let j(a) = -6*a + 58. Let d be j(5). Differentiate 47*s**3 - 2*s**2 + 2 + 2*s**2 - d wrt s. 141*s**2 Let u(g) be the first derivative of 3*g**6/5 - 27*g**2/2 + 5*g + 6. Let q(y) be the first derivative of u(y). Differentiate q(w) wrt w. 72*w**3 Let h(w) be the second derivative of 0*w**3 + 2/5*w**5 - 11*w**2 + 0*w**4 + 0 - 5*w. Differentiate h(v) with respect to v. 24*v**2 Suppose -3*l = 5*m - 137, -4*m + 124 + 12 = 3*l. What is the second derivative of -52*n + l*n - 5*n**5 - 5*n**5 wrt n? -200*n**3 Suppose -14 = -2*s - 4*w, -4*s + 5*w - 1 = -16. What is the third derivative of 4*h**4 + s*h**2 - 8*h**2 - 4*h**2 wrt h? 96*h Differentiate -3*n**3 - 31*n + 5*n**3 + 61 + 29*n - 5*n**3 wrt n. -9*n**2 - 2 Let f(w) be the second derivative of 17*w**7/42 - 11*w**5/20 + w**4/12 - 27*w**2/2 + 7*w + 7. Find the third derivative of f(d) wrt d. 1020*d**2 - 66 Let n(p) be the first derivative of 123*p**2/2 + 22*p - 127. Find the first derivative of n(z) wrt z. 123 Let h = 8 - -8. Let k be 8/(-12)*-6 - 1*-2. Find the second derivative of h - 16 - k*t - t**5 wrt t. -20*t**3 Suppose -47*p + 43*p = -8. What is the third derivative of -19*a**2 + 2*a**4 - 6*a**4 + p*a**4 wrt a? -48*a Let z(v) be the second derivative of -5*v**7/42 + 11*v**5/10 + v**4/12 - 45*v**2/2 + 168*v. Find the third derivative of z(k) wrt k. -300*k**2 + 132 Differentiate 46 - 33 - 164*f + 93 + 30 with respect to f. -164 Let b(y) be the third derivative of y**7/105 - 2*y**5/15 + 187*y**4/24 - 95*y**2 - 5*y. Find the second derivative of b(r) wrt r. 24*r**2 - 16 Suppose 13 = -4*k - 11. Let a(d) = -d**2 - 6*d + 7. Let n be a(k). Differentiate 3 - 5 - 2 + n*l**4 - 4*l**4 wrt l. 12*l**3 Let o(p) be the third derivative of -p**7/35 - p**6/120 - 73*p**5/60 - 6*p**2 - 3. What is the third derivative of o(b) wrt b? -144*b - 6 Let z be 33/(-2)*(28/12 - 3). Let s be ((-3)/6)/((-2)/20). Find the third derivative of -7*p**4 + z*p**s + 12*p**4 - 5*p**4 - 6*p**2 wrt p. 660*p**2 Let b(z) be the first derivative of 7*z**5/10 + z**3 + 4*z + 10. Let a(g) be the first derivative of b(g). What is the second derivative of a(p) wrt p? 84*p Let t be 232/9 - 10/(-45). What is the second derivative of 18*l**3 - 6*l - 26*l**2 + t*l**2 wrt l? 108*l What is the first derivative of 79 + 187*p - 74*p + 682*p - 84*p - 410 wrt p? 711 Let n = -18 + 21. What is the third derivative of 12*g**4 + g**2 + g**2 - n*g**4 wrt g? 216*g Let u(g) = -g**3 - 5*g**2 - 6*g - 3. Let p be u(-4). What is the third derivative of 13 + 6*k**3 - 1139*k**2 + 1136*k**2 - p + 2*k**5 wrt k? 120*k**2 + 36 Let p(w) be the first derivative of -3*w**6/40 + w**4/2 - 5*w**2/2 - 15. Let v(c) be the second derivative of p(c). What is the second derivative of v(o) wrt o? -54*o Suppose c - 61 - 53 = -4*y, -3*c - 22 = -y. Let b be y/12*3 - 3. What is the second derivative of 2*z**4 - 2*z**b + 4*z**4 + 0*z**4 + 5*z wrt z? 48*z**2 Let v(n) = 2*n**3 - n**2 - n + 1. Let c(t) = 15*t**3 + 182*t**2 + 2*t - 2. Let f(b) = c(b) + 2*v(b). Find the third derivative of f(i) wrt i. 114 Let w = 0 - 6. Let a be (-2)/w + 30/18. What is the third derivative of -4*h**2 - h**4 - 2*h**a + 0*h**4 wrt h? -24*h What is the second derivative of 3*h - 2377*h**2 + 23*h**3 + 2377*h**2 - 2 wrt h? 138*h What is the derivative of 1 - 46*g**4 - 63*g**4 + 4 + 9*g**4 wrt g? -400*g**3 Let l(a) be the second derivative of 5/6*a**3 + 0*a**4 + 1/42*a**7 + 0*a**6 - 13*a + 0*a**2 + 0*a**5 + 0. Find the second derivative of l(o) wrt o. 20*o**3 Suppose 0 = v - 5*k + 7, 8 = v + 5*k - 5. What is the second derivative of v*l**4 + 10*l**4 - l**4 + 4*l - 4*l**4 wrt l? 96*l**2 Let h be (90/105)/((-7)/(147/(-12))). Let m(r) be the second derivative of h*r**2 + 0 + 7/12*r**4 + 0*r**3 + 7*r. What is the first derivative of m(k) wrt k? 14*k What is the second derivative of 14*g**5 - 133*g + 11*g**5 + 69*g wrt g? 500*g**3 Let o be (1 + 9)*5/10. Let y = o + -2. Find the second derivative of -y*c - 11*c**3 + 2 + 13*c**3 - 2 wrt c. 12*c Suppose -z - 5*n = -0*n - 22, 4*z + 3*n = 3. Let y be (-3 + z)/(6/(-9)). What is the third derivative of -7*k**6 - k**2 + y*k**2 + k**6 wrt k? -720*k**3 Let a = -37 + 40. Find the second derivative of -40*l**a + 28*l + 30*l**3 + 33*l**3 wrt l. 138*l Let b(a) be the third derivative of -a**6/20 - a**5/4 + 161*a**3/2 - 345*a**2. Differentiate b(f) with respect to f. -18*f**2 - 30*f Let j(f) be the second derivative of 3/14*f**8 + 0*f**7 + 0*f**5 + 0*f**6 - 31*f + 0*f**2 + 0 + 0*f**3 - 19/12*f**4. Find the third derivative of j(y) wrt y. 1440*y**3 What is the third derivative of 106*q**3 + 1547*q**2 - 1264*q**2 - 6*q**3 wrt q? 600 Differentiate -91*a + 161 + 7*a - 109*a + 25*a + 9 wrt a. -168 Let g(n) be the third derivative of 4*n**6/15 + n**5/30 - 27*n**3/2 - 63*n**2. What is the derivative of g(h) wrt h? 96*h**2 + 4*h Let u(s) be the third derivative of s**7/30 - s**5/15 - 151*s**4/24 - s**2 - 70*s. What is the second derivative of u(n) wrt n? 84*n**2 - 8 Let g(o) = 8*o - 32. Let q be g(4). Let x(k) be the first derivative of k**4 + 4 + 5/2*k**2 + 0*k + q*k**3. Find the second derivative of x(c) wrt c. 24*c Suppose 0 = -8*r + 5*r + 21. What is the
{ "pile_set_name": "DM Mathematics" }
d by 13. 11 Suppose -z + 3*w - 102 = -4*z, 2*z + 3*w - 70 = 0. What is the remainder when 94 is divided by z? 30 Let y(m) = 3*m + 6. Calculate the remainder when y(2) is divided by 3. 0 Suppose 0 = 3*n + q + 4*q - 39, 0 = 5*q. Calculate the remainder when 50 is divided by n. 11 Suppose 0 = -0*h + 2*h + 3*u - 117, 0 = 2*h - 3*u - 99. Suppose 0 = -3*p - 2*f + 6*f + 95, 2*f - h = -2*p. Calculate the remainder when p is divided by 8. 5 Suppose 0 = 4*l - l - 39. Suppose -4*z + 1 = -4*p + l, -p = z - 5. Calculate the remainder when 7 is divided by p. 3 Let j(n) = -9*n + 1. What is the remainder when j(-2) is divided by 7? 5 Calculate the remainder when 1348/20 - 8/20 is divided by 18. 13 Suppose 2*j - 69 = -j. What is the remainder when j is divided by (-105)/(-8) + 4/(-32)? 10 Let n = 80 - 263. Let g = n - -262. Let z = g - 41. Calculate the remainder when z is divided by 13. 12 Suppose 3*c - 72 = c. Calculate the remainder when c is divided by 19. 17 Suppose 5*f = -0*f. Suppose 4*n = -2*v + 56, -4*n - 4*v + 79 - 19 = f. Calculate the remainder when 37 is divided by n. 11 Let k(g) = -2*g - 24. Let b be k(-13). Suppose -b*u - 115 = -7*u. Calculate the remainder when u is divided by 8. 7 Suppose -5*u - 19 - 129 = -t, 2*t - 4*u = 278. What is the remainder when t is divided by 45? 43 Suppose -28*o + 174 = -22*o. Suppose -i + 9 + 1 = 0. Calculate the remainder when o is divided by i. 9 What is the remainder when (5/1 - 2) + (22 - 6) is divided by 12? 7 Suppose -3*s = 5*d - 28, 27 = 4*s + 3*d - 25. What is the remainder when 46 is divided by s? 14 Suppose 5*a = 2*k - 122, 3*a - 154 = k - 3*k. Calculate the remainder when k is divided by 18. 17 Let k(t) = t**2 - 5*t + 13. Calculate the remainder when 168 is divided by k(6). 16 Let u(n) = 7*n. Suppose 0 = 3*a + 2 - 11. Calculate the remainder when 925/15 - 4/6 is divided by u(a). 19 Suppose -2*j - 2*j = -12. Suppose -4*o + 0*l + 177 = 3*l, 0 = j*o + 4*l - 124. Calculate the remainder when o is divided by 25. 23 Let p = -16 + 1. Let m = 30 + p. Calculate the remainder when 45 + 0 + (-1 - 1) is divided by m. 13 Let c(y) = y**3 - 3*y**2 - 2*y + 1. Let g be c(4). Suppose -60 = 4*d - g*d. Let p(i) = i**2 - 3*i - 47. Calculate the remainder when p(10) is divided by d. 11 Let f = 54 - 31. Calculate the remainder when 66 is divided by f. 20 Suppose 4*t - 415 = -3*u, -t + 3*u = u - 90. Suppose -t - 11 = -3*n. Calculate the remainder when n is divided by 10. 7 Suppose 0 = 3*o + 5*t + 5, -o + 3*t - 13 = -6*o. Calculate the remainder when 17 is divided by o. 2 Let b = 136 - 66. Let g(a) = 3*a - 9. What is the remainder when b is divided by g(11)? 22 Let v(o) = 80*o. Let b(q) = -27*q. Let w(t) = 14*b(t) + 4*v(t). Let a be w(-1). Suppose j = -0*j + a. What is the remainder when j is divided by 20? 18 Suppose -5*p = 6 + 9. Suppose 2*b - 6*b = -36. Calculate the remainder when -3*(-2)/p - -18 is divided by b. 7 Let n = -8 - -38. Calculate the remainder when 87 is divided by n. 27 Let u be -16*((-9)/(-6) + -1). Let j be (-44)/(-3) - (-14)/42. Let k = j + u. Calculate the remainder when 11 is divided by k. 4 Let o = -21 - -29. Let b(t) = -t**2 + 10*t + 1. Calculate the remainder when b(7) is divided by o. 6 Suppose 0 = -7*k - 4*k + 374. What is the remainder when k is divided by 9? 7 Let o = 1 - -10. Calculate the remainder when 20 is divided by o. 9 Suppose 0 = -3*b + 92 - 17. Calculate the remainder when 72 is divided by b. 22 Let y = -3 - 35. Let t = y + 106. Let o = 44 + -21. Calculate the remainder when t is divided by o. 22 Suppose 2*o - 26 = -3*o + 4*y, 0 = 5*o + 4*y + 6. Let i = -1 + 2. Suppose 0 = -3*p, -o*g + i = 5*p - 3. Calculate the remainder when 5 is divided by g. 1 Suppose -c = -4 - 1. Suppose 0 = 2*l - 5*u + 9, c*u = 3*l + 2*u. Suppose -l*r + 18 = -r. What is the remainder when 26 is divided by r? 8 Let t be (1/(-3))/((-5)/30). Suppose -2*y + 76 = 2*a, -4*y = -t*a - 28 - 100. What is the remainder when y is divided by 12? 10 Let m = 8 + -4. Suppose -7 = 4*n - 43. Calculate the remainder when n is divided by m. 1 Suppose -4*i = 4*h - 12, i - 5 = 5*h - 4*i. Let k = -3 + h. Calculate the remainder when 10 is divided by (-8)/(0 + k + 0). 2 Suppose 4*t - 2*t - 26 = 0. Let q = -69 - -120. Calculate the remainder when q is divided by t. 12 Let y = 48 + -8. Calculate the remainder when 75 is divided by y. 35 Suppose -75 = -4*q - q. What is the remainder when 27 is divided by q? 12 Let o = 15 + 2. Let m(j) = 3*j**2 + 6*j + 22. Calculate the remainder when m(-3) is divided by o. 14 Suppose 4*s + 16 - 44 = 0. What is the remainder when 3/(1/(-2) + (-187)/(-242)) is divided by s? 4 Let j(i) = i - 3. Let t be j(6). Suppose 2*b - 9 = -u + b, -t*u + b + 15 = 0. What is the remainder when u is divided by 2? 0 Suppose -4*n = -3*f - 66, 5*n = 3*f - 5*f + 94. Let j = n - 3. What is the remainder when j is divided by 9? 6 Let b = -218 + 322. Calculate the remainder when b is divided by 35. 34 Suppose 0 = -10*b + 5*b + 65. Calculate the remainder when 47 is divided by b. 8 Let b(c) = -2*c**3 - 10*c**2 - 11*c + 9. Let v(m) = 5*m**3 + 21*m**2 + 23*m - 19. Let y(t) = 7*b(t) + 3*v(t). What is the remainder when 11 is divided by y(8)? 5 Let d be (5/3)/((-2)/(-6)). Suppose -o + 4 = -0*o, 3*h + d*o - 83 = 0. Suppose x = 2*x - 11. What is the remainder when h is divided by x? 10 Suppose -7*n + 22 + 41 = 0. Calculate the remainder when n is divided by 5. 4 Suppose -4*b - 3*z = -20 - 60, 76 = 4*b + 4*z. Suppose -37 - b = -4*t. Calculate the remainder when 42 is divided by t. 12 Suppose -n + 4*v + 57 = 0, -2*v + 79 = 2*n - 3*v. Suppose -2*j + 0*j = -26. Calculate the remainder when 6/(-3) + 3 + n is divided by j. 12 Let i(j) be the second derivative of -j**4/12 + 3*j**3/2 - 5*j**2/2 + j. Calculate the remainder when 27 is divided by i(5). 12 Let j(y) = y**3 - 6*y**2 + 2*y + 9. What is the remainder when 83 is divided by j(6)? 20 Let a = 132 + -87. What is the remainder when a is divided by 12? 9 Suppose -3*a + 942 = -0*a. Let l = a - 150. Suppose -4*h + l = -2*f, -3*h + 0*f + 121 = -2*f. Calculate the remainder when h is divided by 22. 21 Suppose 4*u - 2*p - 34 = 0, 2*u = -4*p - 3 - 5. Calculate the remainder when u is divided by 3. 0 Let f(u) be the third derivative of u**5/6 + u**4/24 - u**3/6 - 5*u**2. Calculate the remainder when 18 is divided by f(1). 8 Let t be 6 + 2/2 + -3. Suppose 0 = -4*c - 3*n + 29, 2*c = n + 11 - t. Suppose 0 = a - 3 - c. Calculate the remainder when 15 is divided by a. 7 What is the remainder when (3 + -24)/(-3) + 3 is divided by (18/15)/(2/10)? 4 Let u = 13 - 1. Calculate the remainder when (50 - 1 - 2) + -1 is divided by u. 10 Let n = 0 - 13. Let v = n + 19. Calculate the remainder when v is divided by 3. 0 Let k(q) = q**2 + 6*q + 8. Let d be k(-8). Let n = d - 11. What is the remainder when 25 is divided by n? 12 Suppose -4*h + g = -g - 310, -5*g + 365 = 5*h. Calculate the remainder when h is divided by 16. 12 Suppose 6*k - 136 = 2*k - 4*v, -152 = -5*k + 4*v. Let d = 5 - -6. What is the remainder when k is divided by d? 10 Let l(k) = -k**3 - 4*k**2 + 6*k + 3. Let g be l(-5). Calculate the remainder when 26 is divided by (-1 - -5) + g - -7. 8 Suppose -2*c = 2*c - 508. Suppose -3*n + c = -5*q, -3*q = q - 16. Calculate the remainder when n is divided by 17. 15 Let d(s) = -s**2 + 9*s + 5. Let q = -25 - -35. What is the remainder when d(7) is divided by q? 9 Let z = -1 - -6. Suppose -z*m = -7*m + 6. What is the remainder when 9 is divided by m? 0 Suppose 0 = 3*s - 3 - 3, 5*g + 29 = -3*s. Suppose -4*p - 15 - 7 = -2*j, 83 = 4*j + 5*p. Let w = j + g. Calculate the remainder when 18 is divided by w. 8 Let u(x) = x**2 + 14. What is the remainder when u(-9) is divided by 12? 11 Calculate the remainder when 5/15 + 44/12 is divided by 3. 1 Suppose -2*y = -l + 11, -2*l + 13 = -4*l - 3*y. Let n(z) = -6*z. Let h be n(l). Let g(u) = -2*u + 1. Calculate the remainder when 50 is divided by g(h). 11 Let v = 0 - -8. Suppose 0 = p + 3*g - 25, 3*g = -3*p - g + 70. What is the remainder when p is divided by v? 6 Let l(i) = i**2 + 5*i - 6. What is the remainder when 30 is divided by l(-7)? 6 Suppose 4*j = 4*l - 80, -l = 5*j + 7 - 3. What is the remainder when 63 is divided by l? 15 What is the remainder when 88 is divided by
{ "pile_set_name": "DM Mathematics" }
- q + (3 - 2*q - 3)*(3 - 1 - 1))*(-3*q - 3*q + 4*q). 6*q**5 Expand q + 0 + 0 + (-5 - q + 5)*(3 + 1 - 2) - 2 - 2*q + 2 + (0 + 6 - 1)*(-q - q - 4*q). -33*q Expand (7 - d - 7)*(3*d - 11*d - 16*d). 24*d**2 Expand 5*m - m**5 - 5*m - 2*m**2 - m**5 + 2*m**2 + (-2*m**3 - m**3 + 4*m**3)*(-2*m**2 - 1 + 1) - 2*m**5 - 2*m**5 - m**5. -9*m**5 Expand (-2 + 1 - 1)*(7*g**4 - g**4 - 5*g**4)*(-4 - 2 + 7). -2*g**4 Expand (0*p + 2*p**2 + 0*p)*(-2*p**2 - p**2 + 2*p**2) + 3*p**4 - 2*p**2 + 2*p**2 + (2*p**4 + 3*p**4 - 6*p**4)*(1 + 2 - 5). 3*p**4 Expand 1 + r - 1 + (-1 + 4 - 2)*(3 - 3 - 2*r). -r Expand (1 - 1 + p**2)*(3 + 2*p - 3) - 7*p**3 + 8*p**3 - 1 - 1 + 4*p**2. 3*p**3 + 4*p**2 - 2 Expand (r**2 - 6*r**2 + 3*r**2)*(-283*r**3 - r**2 + 284*r**3 - 4*r**2 - 19). -2*r**5 + 10*r**4 + 38*r**2 Expand (2 + 4 - 4)*(5*i**2 - 3*i**2 - 12*i**2). -20*i**2 Expand (2 - 4 + 1)*(-2 + 4 - 1)*(-6*l + 6*l + 4*l). -4*l Expand (2*v**2 - 5*v**2 + 4*v**2)*(-2*v - 4 + 4) + 2*v**3 + 4*v**3 - 8 - 5*v**3. -v**3 - 8 Expand (-6*j**3 + 4*j**3 + 0*j**3)*(-4*j + 0*j + 2*j). 4*j**4 Expand (6*d**2 - 4*d**2 + 0*d**2)*(26*d**3 + 301*d**2 - 301*d**2) + (-2*d + 3*d + d)*(2*d**4 - d + d). 56*d**5 Expand (3 + 0 - 1)*(-4*y - y + 4*y)*(-y**3 + 4*y**3 + y**3). -8*y**4 Expand (-24 + 34 - 16)*(0*g**3 - g**5 + 0*g**3). 6*g**5 Expand (-2*t**3 - 3*t**2 + 3*t**2)*(-1 + 4*t**2 + 1 + 2*t**2 - 2*t**2 + t**2 + (-1 - 2*t + 1)*(-3*t + t + t) - 2*t - t**2 + 2*t - 4*t**2 + 0*t**2 + 2*t**2). -8*t**5 Expand -3*r**5 - 3*r**5 + 2*r**5 + (-3*r**2 + 0*r**2 + 2*r**2)*(-2*r**3 + 4*r - 4*r) + r**3 + r**5 - r**3. -r**5 Expand -2*f + 2*f - f**4 + (f - 7*f - f)*(0 + 0 + f**3). -8*f**4 Expand (-2*p + 1 - 1 + 0*p + 3*p - p + (1 - 3 + 0)*(0*p + p - 3*p))*(-p**2 - 2*p**3 + p**2). -8*p**4 Expand -70*b**2 - 5*b**3 + 70*b**2 + (-3*b + 0*b + 4*b)*(4*b - 2*b**2 - 4*b) + b**3 + 2*b**2 - 2*b**2. -6*b**3 Expand (2 + s**3 + s**3 - 4)*(-6*s - 2*s**2 + 6*s). -4*s**5 + 4*s**2 Expand 6*w**2 - w**2 - 4*w**2 + (2*w - 3*w + 2*w)*(-w + 3*w + 0*w) + 4*w**2 + 4*w**2 - w**2 + 0 - w**2 + 0 + w**2 - 4 + 4 + (-2 + 0 + 3)*(0 - 2*w**2 + 0). 8*w**2 Expand (0*f + 0*f + f)*(3*f - 4*f + 5*f)*(-f**2 + f**2 + f**2). 4*f**4 Expand h**5 + 8*h**5 + 0*h**5 + (3*h - h**2 - 3*h)*(3*h**3 + h**3 - 3*h**3). 8*h**5 Expand (-3*i**4 + 110 + 2*i**2 + 0*i**4 - 112)*(2*i + i - 2*i). -3*i**5 + 2*i**3 - 2*i Expand (-2 + 2 + n)*(9*n - 13*n**2 - 9*n) + 5*n**3 - 2*n**3 - 2*n**3 + 2*n**2. -12*n**3 + 2*n**2 Expand (x**3 + x**3 + 0*x**3)*((-5 + 3 + 3)*(0 + 0 + 2) + 2 - 2 + 4). 12*x**3 Expand (2*z - z + 0*z)*(18 + 45 - 9 - 1). 53*z Expand (-3*m + m**3 + 3*m)*(3*m - m + 0*m) + 0 + 2*m**4 + 0 + 9*m**4 - 4*m**4 + 5*m**4. 14*m**4 Expand -62 + 34*y**3 + 62 + (y**2 + 3*y - 3*y)*(0*y - 2*y + 0*y) - y**3 + y**2 - y**2 + 0 + 0 + y**3. 32*y**3 Expand (-3 + 3 + 4*v)*(-1 + 3 + 0 + (0 - 1 + 0)*(0 + 4 - 5) + 2 - 2 + 1)*(-2*v**2 - 8*v**2 + 2*v**2). -128*v**3 Expand (-143 + 65 + 49 - t)*(3*t**4 - 4*t**4 + 0*t**4). t**5 + 29*t**4 Expand (a + 2*a**3 - a)*(-19 + 19 - 2*a + 0*a - a + 3*a + (-3 + 2 + 0)*(-3*a + 3*a - 2*a)). 4*a**4 Expand (22*d - 51*d + 33*d)*(-2 + 1 + 0). -4*d Expand (-i**2 + i**2 + i**3)*(2*i - i - 3*i) + 1 - i**4 - 1 - 3*i**4 + 7 - 7 - i**2 + i**2 + i**4. -5*i**4 Expand 1 - 1 - z + (0*z + z - 3*z)*(-3 - 1 + 5) + (0 + 1 + 0)*(-3*z - z + 2*z). -5*z Expand (0*f**2 + 0*f**2 - f**2)*(0 + 10 - 6)*(0 + f**2 + 0)*(4*f - 2*f - 3*f). 4*f**5 Expand (-h - 2*h + 2*h)*(-21*h**2 - 24*h**2 + 56*h**2). -11*h**3 Expand (2*p + 1 - 1)*(-2*p + 0 + 0) - 4*p + 4*p + 3*p**2 + (-1 + 2*p + 1)*(-p + 4 - 4 + (0 + 1 + 3)*(p - p - 2*p) + 2*p + 2*p - 6*p). -23*p**2 Expand (-3*a**3 + 3*a**3 + 2*a**4)*(5 - 3*a + 2*a - 7). -2*a**5 - 4*a**4 Expand (-o**2 + o - o)*(-2*o**3 - 2*o**3 + 5*o**3)*(3 - 7 - 3). 7*o**5 Expand (2*f**3 - 6*f**3 - 9*f**3)*(-3*f**2 + f**2 + 4*f**2). -26*f**5 Expand (6*q**3 + 3*q - 3*q)*(-5 + 0 + 4)*(2 - 2 + 1). -6*q**3 Expand 2*k**4 + 4*k**4 - 3*k**4 + 0*k**3 + 0*k**3 + 2*k**4 + (-2*k - 2*k + 2*k)*(2*k**3 + 2*k**3 - 5*k**3) - 1 + 2*k**4 + 1 + (-2*k - 2*k + k)*(k - k - 2*k**3). 15*k**4 Expand (2*h**2 + 2*h**2 - 2*h**2)*(6*h - 3*h - 2*h) - 5*h**3 - 10*h**2 + h**3 + 7*h**2. -2*h**3 - 3*h**2 Expand (3*j - 5*j + j)*(47 - 5*j**2 + 4*j**2 - 46). j**3 - j Expand (-4*o - 14*o - 6*o)*(-o - 3 + 3). 24*o**2 Expand (3*g**2 + g**2 - 5*g**2)*(-25*g**2 + 45*g**3 + 25*g**2) + 3*g**5 - 2*g**5 + g**5. -43*g**5 Expand (-2*i**2 + 0 + 0)*(4 - 2 - 1)*(-6 + 8 + 7). -18*i**2 Expand (0*m - m + 0*m)*(-6 + 3 + 2)*(0*m**3 + 4*m**3 + 2*m**3). 6*m**4 Expand w + 4*w - 2*w + (3 - 3 - 2*w)*(-1 - 3 + 3) - 2*w + 4*w - 3*w + 3 - 3 - 2*w - 21*w + 58 - 58. -19*w Expand -k**2 + 3 - 3 + (-1 + 4 - 2)*(-5*k**2 + 3*k**2 + 0*k**2) - 2 + 2 + 2*k**2 + (-2 + 2 - k)*(3*k - k + 2*k) - 2*k**2 - k + k. -7*k**2 Expand (4*x + 6 - 6)*(1 + 2*x**2 - 1 + (0 + 0 - 1)*(3*x**2 - 4*x**2 + 0*x**2))*(-1 + 0 + 2). 12*x**3 Expand (-g + 5*g - 2*g)*(-2 + 7 - 1). 8*g Expand (2*d + 0*d - 4*d)*(0*d + 0*d + d**2)*(6*d**2 - 6*d + 6*d) - 2*d**5 + d**2 - d**2. -14*d**5 Expand -l - 2*l + l + l + l - l + 5*l - l + 0*l + (-3*l + 3*l - 2*l)*(0 - 3 + 2) - 3 - l + 3 - 2*l - 4 + 4. 2*l Expand -1 + 1 - 2*z + (3*z - z - 4*z)*(0 + 0 + 4) + 2*z - 1 + 1. -8*z Expand -23*s**3 + 14*s**3 + 15*s**3 + (-3*s + s + 3*s - s**2)*(s + 1 - 1). 5*s**3 + s**2 Expand 6*n**4 - 17*n**4 + 17*n**4 + (-n**2 - n**3 + n**2)*(-5*n + n + 2*n). 8*n**4 Expand -3*j**2 - 5*j**2 + 2*j**2 - 4*j**2 + 4*j**2 - 3*j**2 + 0 - j**2 + 0 + j**2 - 6*j**2 + 4*j**2 - j**2 + 0*j**2 - j**2 + (-j - j + 3*j)*(-j - j + 0*j). -15*j**2 Expand (-10*z + 4*z + 2*z)*(-z + 2*z - 4*z)*(z - 3*z + 4*z). 24*z**3 Expand (-2*a**2 + 2*a**2 + 3*a**2)*(3*a**2 + a**3 - 3*a**2) + 22*a**5 - 3*a**4 - 11*a**5 + 4*a**4. 14*a**5 + a**4 Expand -3*a - 2*a + 3*a + 0*a - 5*a + 4*a + (a + 0 + 0)*(-3 + 6 - 1) + 2*a + 11 - 11 + 0 + 0 + a + 0 + a + 0. 3*a Expand (-f**2 + 1 - 1)*(1 - 1 - 2) + (-5*f + 2*f + f)*(f - f + 2*f) + 3*f**2 - 4*f**2 - f**2. -4*f**2 Expand (-2*f**2 + 0 + 0)*(9*f + 3*f - 4*f) - 5*f**3 + 1 + 4*f**3 - 4. -17*f**3 - 3 Expand (0*t + 3*t - 4*t)*(0 + 5 - 3)*(-t - 2 + 2)*(-3 + 2 - 2). -6*t**2 Expand (3*m**2 - 3*m + 3*m)*(-m**2 - 3*m**2 + 6*m**2 + (-5 + 2*m + 5)*(-4*m + 0*m + 2*m) + 17*m**2 + 5*m**2 - 10*m**2). 30*m**4 Expand (1 + 3 - 2)*(2*w**2 + 4*w**2 - 4*w**2) - 2*w + 2*w + 4*w**2. 8*w**2 Expand (-4*g**3 + 4*g**3 + g**3)*(-2 + 5 + 0) + 0*g**3 + g**3 + 0*g**3. 4*g**3 Expand -2 + 5*n + 9*n**2 + 3*n - 10*n**2 + 3*n**2 - 4*n**2 + 0*n**2 + (2 + 0 + 0)*(n**2 + 2*n**2 - n**2). 2*n**2 + 8*n - 2 Expand (-1 - 8 - 5)*(0*t**2 + t**2 + 3*t**2). -56*t**2 Expand (-m + 2*m - 2*m)*((-1 + 0 + 0)*(1 - 2 + 2) + 74 - 39 - 45). 11*m Expand (-3*n - 2 + 2)*(n**4 + 2*n**4 + 0*n**4 + (-1 + 1 - n**2)*(-2*n**2 - 5 + 5) - n**4 + 5*n**4 + 0*n**4). -27*n**5 Expand (0 + 1 + 0)*((2 + 0 - 1)*(2 + 4 - 5) + 1 - 3 + 4)*(2*n + 2*n - 2*n). 6*n Expand (2*o + 2 - 2)*(-o - 3*o + 5*o) - 4*o**2 + o**2 + 2*o**2 + (-4 + 3 + 2)*(-3*o**2 - o**2 + 2*o**2). -o**2 Expand (1 - i - 1)*(i + 0*i - 3*i) + 3*i - 3*i - i**2 + 3*i**2 + i**2 + i**2 + (-4*i**2 + 0*i**2 + 2*i**2)*(2 - 1 - 3). 10*i**2 Expand (-5 + 11 + 1)*(5*q - 2*q + 0*q). 21*q Expand (-h - 3*h + 3*h)*(1 - 1 + 1 + (0 - 1 + 2)*(-4 + 17 + 13)). -27*h Expand (2*c**2 - c**2 - 3*c**2)*(-c**3 + 4*c**3 + 2*c**3). -10*c**5 Expand (2*u - 4*u + u)*(3 - 2*u**2 - 3) - 3 + 0 - 8*u**3 + 13*u**3. 7*u**3 - 3 Expand (q - q + 2*q)*(3*q**2 - 3*q**2 - q**3) - 3*q**4 + 3*q + 3*q + q**4 + (q**4 + 2*q**4 - 2*q**4)*(3 - 3 + 2). -2*q**4 + 6*q Expand (-1 + 5 - 2)*(-2*w - w + 0*w)*(-w + 2*w - 3*w). 12*w**2 Expand -6*a**2 + a**2 + 3*a**2 - 5*a**2 + 3*a**2 + 0*a**2 + (-a - 2*a + a)*(2*a - 2 + 2) + 3 - 5*a**2 - 3. -13*a**2 Expand (-3*y - 2*y + 4*y)*(2 - 2 - 2) + (5 + 7 - 7)*(y - 2 + 2). 7*y Expand (-3*w + 5*w - 4*w)*(-1 - 4 + 4) + (0 + 4 - 5)*(5 - 2*w - 5). 4*w Expand (4 - 4 + 2*y**5 + (0 + 0 - y)*(3 + 2*y**4 - 3) - y**4 + y**4 - y**5 + 0*y**5 + 0*y**5 + 2*y**5)*(-34 - 6 - 13). -53*y**5 Expand (3*r**3 - 5*r**3 + 0*r**3)*(-2*r**2 - 4*r**2 + 3*r**2) - 2*r**5 + 5*r**5 - r**5 + 2*r**5 + r**4 - r**4 + (5*r + r**4 - 5*r)*(r - 2*r + 0*r). 9*r**5 Expand (10 + 3 + 10)*(2*y**5 + 2*y**2 - 2*y**2). 46*y**5 Expand -z**3 + 2*z**2 - 2*z**2 + (0*z**2 + 4*z**2 - 6*z**2)*(-6 + 1 + 3)*(2*z - 7*z - 2*z). -29*z**3 Expand (-2 + 3 + 2*h**2 - 5*h**2)*(9*h - 9*h + h**2). -3*h**4 + h**2 Expand
{ "pile_set_name": "DM Mathematics" }
4185 In base 7, what is -1261623 - 3? -1261626 In base 3, what is 11 - -10000022? 10000110 In base 6, what is -43 + -2401? -2444 In base 2, what is 111101 + 10011111110000111? 10011111111000100 In base 7, what is -1 + 61252? 61251 In base 4, what is -11012 - -3? -11003 In base 12, what is -46a6 - -1? -46a5 In base 9, what is -3106 + -47? -3154 In base 15, what is 0 + -3a29? -3a29 In base 15, what is ce2d - 3? ce2a In base 5, what is 4 + -113142044? -113142040 In base 14, what is -47188 + -1b? -471a5 In base 15, what is -3ca26c + 5? -3ca267 In base 16, what is -d66a + -3? -d66d In base 16, what is 398be - -4? 398c2 In base 10, what is 832 - -44? 876 In base 8, what is 2 + -6107411? -6107407 In base 12, what is -a421 - -3? -a41a In base 9, what is 268 + -210? 58 In base 14, what is 8921 + 1? 8922 In base 10, what is -578910 + 5? -578905 In base 13, what is -4 + -19468? -1946c In base 10, what is 73 - -3042? 3115 In base 14, what is 1 - -200217? 200218 In base 10, what is -4 - -6778? 6774 In base 15, what is d65 + 8? d6d In base 4, what is 2 + -3020332? -3020330 In base 16, what is -4e2583 + 4? -4e257f In base 14, what is 6 - -2897? 289d In base 10, what is 2490 + -24? 2466 In base 8, what is -27 + -2573? -2622 In base 12, what is -5026 - 21? -5047 In base 10, what is -3 + 6980? 6977 In base 11, what is 3a14a6 + 5? 3a1500 In base 12, what is -47 - 43b? -486 In base 16, what is -e - 107d? -108b In base 9, what is 3054 + -250? 2704 In base 2, what is -10010110111 + -101? -10010111100 In base 7, what is 10415 + 1115? 11533 In base 5, what is -4133331 - 4? -4133340 In base 3, what is -1 - -221211012? 221211011 In base 9, what is 1 + -2538? -2537 In base 15, what is 79 - -3a? b4 In base 6, what is -4 - 310332? -310340 In base 3, what is -2 - 1212210100? -1212210102 In base 14, what is 1b75 + -72? 1b03 In base 3, what is 110212122112 + 12? 110212122201 In base 16, what is 188 + -c? 17c In base 11, what is -215352 - 2? -215354 In base 12, what is 5867 - 264? 5603 In base 13, what is -11742 + -1? -11743 In base 8, what is -264 - -721? 435 In base 12, what is 2b62 - -14? 2b76 In base 14, what is 40 - 2d5? -295 In base 2, what is 10 - 1010000011? -1010000001 In base 13, what is -34466 + -1? -34467 In base 9, what is 14086 + 0? 14086 In base 4, what is 23021 - 1333? 21022 In base 6, what is -1533 + 105? -1424 In base 7, what is 1542 + -1204? 335 In base 14, what is b1 + -100? -2d In base 4, what is 3002301302 + 10? 3002301312 In base 14, what is -8075 + -1a0? -8235 In base 8, what is -2 + -1231613? -1231615 In base 14, what is -160 + -53? -1b3 In base 8, what is -10 + -10776? -11006 In base 7, what is -141664 - 351? -142345 In base 2, what is 11000110111101 - 11? 11000110111010 In base 9, what is -18 + 6241? 6222 In base 10, what is 9 - -11761? 11770 In base 3, what is 110210 + -212? 102221 In base 13, what is 5 + -b80a? -b805 In base 16, what is 339 - -26? 35f In base 11, what is -526a - -5? -5265 In base 3, what is -120100 + -12220? -210020 In base 14, what is -da9 + 4? -da5 In base 5, what is 0 - 33314400? -33314400 In base 9, what is 5 - 1042? -1036 In base 8, what is -1055 + -1432? -2507 In base 14, what is -7b84 - -3? -7b81 In base 3, what is -20000221 - 122211? -20200202 In base 11, what is -5 - -8169? 8164 In base 7, what is -53160 - 33? -53223 In base 8, what is -3312 - 17? -3331 In base 15, what is -9 - 328? -332 In base 16, what is 69 + 659? 6c2 In base 16, what is -4 - 2cd8c? -2cd90 In base 3, what is -202020221121 + -2? -202020221200 In base 13, what is -14a9 + -c? -14b8 In base 12, what is -19a13 - 36? -19a49 In base 13, what is 38cb + 2? 3900 In base 13, what is cb - -8ac8? 8bc6 In base 2, what is 100011001100001 + 1111011? 100011011011100 In base 15, what is 2 + -d6e1? -d6de In base 13, what is 0 + -93235? -93235 In base 4, what is 22021 + 23? 22110 In base 12, what is -13020 - 98? -130b8 In base 11, what is 19273 - 3? 19270 In base 9, what is -67474 - -3? -67471 In base 15, what is 5175 - -6? 517b In base 10, what is -26 - -73007? 72981 In base 2, what is 11100010110101111 + -1011? 11100010110100100 In base 6, what is 2 + -255011? -255005 In base 8, what is -6 + -46374? -46402 In base 6, what is -115 - 20550? -21105 In base 15, what is a + 229? 234 In base 10, what is -2 + 16435? 16433 In base 4, what is -110 - -23103? 22333 In base 4, what is 1 + -3030113? -3030112 In base 6, what is 123 - -40? 203 In base 8, what is -6 + 6034? 6026 In base 15, what is -58 - -22c? 1c4 In base 12, what is 5 - -169825? 16982a In base 9, what is -100670 + -32? -100712 In base 10, what is -2 + -122154? -122156 In base 15, what is 17ac + d2? 188e In base 14, what is 5a856 - 0? 5a856 In base 14, what is -5 - -9da3d? 9da38 In base 4, what is -12 + 312313? 312301 In base 9, what is 1 + 126301? 126302 In base 13, what is -61c2 - 8a? -627c In base 5, what is 10200340 + -4? 10200331 In base 7, what is -4 + -12642? -12646 In base 12, what is -847 - -26? -821 In base 13, what is 55327a - 0? 55327a In base 10, what is 731 - -1661? 2392 In base 4, what is -10033 + 110012? 33313 In base 3, what is 2002110001 - -12? 2002110020 In base 5, what is 4200140 + -12? 4200123 In base 10, what is 1933 - 121? 1812 In base 14, what is -6b5 + -5? -6ba In base 2, what is -1001101 + -100100100110011? -100100110000000 In base 13, what is -46b7c + -2? -46b81 In base 13, what is -456 + 4a? -409 In base 4, what is -11233 - -1001? -10232 In base 3, what is -1221 + 1121002? 1112011 In base 6, what is 2404021 + -4? 2404013 In base 8, what is 506 - 2462? -1754 In base 6, what is 14 + 15110341? 15110355 In base 12, what is 0 + -7a54? -7a54 In base 11, what is -2829975 + -4? -2829979 In base 5, what is -123 + -420222? -420400 In base 13, what is -14 - 191c1? -19205 In base 4, what is 123213 + 3202? 133021 In base 15, what is -284 - -8? -27b In base 9, what is -354 - -124? -230 In base 15, what is -377ce + 5? -377c9 In base 6, what is 2 - -10100223? 10100225 In base 4, what is -1033321222 - 0? -1033321222 In base 16, what is -1 - 196f4? -196f5 In base 6, what is 3513100 + 2? 3513102 In base 14, what is 2b101 + 1? 2b102 In base 14, what is -2 - -1186a5? 1186a3 In base 11, what is 1 + -20033? -20032 In base 2, what is 10100011000111111000001 + 10? 10100011000111111000011 In base 15, what is -47 - -144? ec In base 6, what is -4 - 2203353? -2203401 In base 15, what is -431 + 2e4? -13c In base 7, what is -1256641 + 20? -1256621 In base 3, what is -100010110 + 102? -100010001 In base 3, what is -200000111 + -1121? -200002002 In base 14, what is 58610 + 5? 58615 In base 11, what is 218348 - -5? 218352 In base 13, what is 11cc1cc + 5? 11cc204 In base 6, what is 32 - -241? 313 In base 13, what is 858 - 3? 855 In base 7, what is 4 - 12506? -12502 In base 3, what is 11210100 - 112220? 11020110 In base 4, what is 12220332 - 211? 12220121 In base 3, what is -1121100201200 - -10? -1121100201120 In base 11, what is 66 + 7529? 7594 In base 11, what is a05786 - -3? a05789 In base 14, what is -4b45b + 1? -4b45a In base 5, what is 12 + -12400302? -12400240 In base 12, what is 27 + -820? -7b5 In base 9, what is -5 - -131550? 131544 In base 13, what is -5214 + 1? -5213 In base 11, what is 403a2 + -2? 403a0 In base 4, what is -111 + 31122100? 31121323 In base 7, what is -3653365 - -5? -3653360 In base 15, what is -298d + -4? -2992 In base 3, what is -2 - -10121202? 10121200 In base 6, what is -104 + -13502? -14010 In base 11, what is a354 - -4? a358 In base 2, what is 1110 + 1010001000100? 1010001010010 In base 12, what is 4 - 12b417? -12b413 In base 15, what is -5 + -4d4d4? -4d4d9 In base 14, what is -6 + -3784? -378a In base 10, what is -15685 + -3? -15688 In base 7, what is 12165 - 36? 12126 In base 14, what is 76 - -bd75? c00b In base 13, what is a + 36637? 36644 In base 10, what is 2 - -1621698? 1621700 In base 9, what is -355 - 664? -1130 In base 4, what is 112 + 1320101? 1320213 In base 2, what is -1101100 - 100101111011? -100111100111 In base 10, what is -5 + -38020? -38025 In base 14, what is 518 - -24a? 764 In base 9, what is 205 + 151? 356 In base 13, what is b4016 - 3? b4013 In base 5, what is -34440 - -10031? -24404 In base 11, what is -15473 - 18? -15490 In base 13, what is 27 - -17c38? 17c62 In base
{ "pile_set_name": "DM Mathematics" }
h respect to y. -732*a*r**2 - a Find the third derivative of 3*n**4 - 705*n**3 - 6542*n**2. 72*n - 4230 What is the third derivative of 8*a**6 + 17*a**3*u**3 - 152*a**2*u**3 - 2*u**3 wrt a? 960*a**3 + 102*u**3 Find the second derivative of -127*q**2*u*x**2 + q**2*u - q**2*x**2 - 4*u*x + 3*x wrt x. -254*q**2*u - 2*q**2 Find the second derivative of -3*i**3*w*y + 5*i**3*y**2 - i**2*y**2 + 12*i*w*y**2 - 2*w*y**2 + 2*y**2 wrt i. -18*i*w*y + 30*i*y**2 - 2*y**2 What is the third derivative of 5*k**4 - 1227*k**3 + 7538*k**2 wrt k? 120*k - 7362 Find the third derivative of -4*u**4*x + 57*u**3*x + 2*u**3 + 4*u**2*x - 65*x wrt u. -96*u*x + 342*x + 12 What is the third derivative of -b**2*k**3 + b**2*k**2 + b**2*k + 759*b*k**3 + 13*k**2 wrt k? -6*b**2 + 4554*b Find the first derivative of 372*b + 166. 372 What is the second derivative of -145*u**5 + 174*u? -2900*u**3 What is the second derivative of q**2*u**3 + 153*q**2*u + 19*u**4 - u wrt u? 6*q**2*u + 228*u**2 Find the second derivative of -6*b**2*c**4 + b**2*c - c**5 - 7*c**3 - c wrt c. -72*b**2*c**2 - 20*c**3 - 42*c What is the third derivative of -9*g**3*y*z**3 - 18*g**3*y*z**2 + 4*g**3*z**4 + 2*g**3*z - 3*g*y*z**2 + 16*z**4 - z**2 wrt z? -54*g**3*y + 96*g**3*z + 384*z What is the first derivative of 131*h**2*r**2 + 7*h*i*r**3 + h*r**3 + 2*i*r**3 - i - 25*r**3 - 4 wrt h? 262*h*r**2 + 7*i*r**3 + r**3 Differentiate -3*j**2*w - 71*j*p**2*w + 3*j*w**3 - 2*p**2*w**3 - 4*p**2*w**2 - 99*w with respect to j. -6*j*w - 71*p**2*w + 3*w**3 What is the second derivative of -127*a**3 + 10*a wrt a? -762*a What is the third derivative of 3*z**5 - 24*z**3 - 10*z**2 - 2*z wrt z? 180*z**2 - 144 Differentiate 66*u**4 + 3*u - 514. 264*u**3 + 3 Find the second derivative of 699*u**2*w**2 - 8*u**2*w + 3*u**2 wrt w. 1398*u**2 Find the third derivative of -153*b**2*g*n**3 + 32*b**2*n**3 - 1690*b**2 - 2*b*g*n**2 - n**2 wrt n. -918*b**2*g + 192*b**2 Find the first derivative of 1667*h**4 + 836 wrt h. 6668*h**3 What is the third derivative of 156*o**5*x**3 + 3*o**3*x**3 + 2744*o**2*x**3 wrt o? 9360*o**2*x**3 + 18*x**3 What is the first derivative of -2*d**3*x + d**3 + 18*d**2*x - 2*d**2 - 4*d*x + 55 wrt x? -2*d**3 + 18*d**2 - 4*d Find the third derivative of -v**6 + 36*v**4 - 43*v**2 - v. -120*v**3 + 864*v Differentiate 23*x**3 + 16*x - 1278 wrt x. 69*x**2 + 16 What is the second derivative of 2110*g**2 - 1764*g? 4220 What is the first derivative of -2*g**2*u + 330*g**2 + 247*g*u - 1 wrt u? -2*g**2 + 247*g Find the second derivative of 2*b**5*j**3 + 1776*b**2*j**3 + 2*b*j**3 + 58*b - 11*j**2 wrt b. 40*b**3*j**3 + 3552*j**3 Differentiate -3210*l*t - 2*t + 3319 wrt l. -3210*t What is the second derivative of -3*c**5 - 7*c**3*p**2 + 7*c**2*p**3 - 139*c*p**3 - c wrt c? -60*c**3 - 42*c*p**2 + 14*p**3 What is the third derivative of -3*a**3*j**4 + 2*a**3 - 2*a**2*j**2 + 4*a**2 + 31*j**5 wrt j? -72*a**3*j + 1860*j**2 Find the third derivative of 169*r**3 + 338*r**2 wrt r. 1014 Differentiate 2775*c - 2290. 2775 Find the second derivative of -216*w**2 - 162*w wrt w. -432 Find the second derivative of -449*f*q**5 + 73*f + 2*q wrt q. -8980*f*q**3 Find the first derivative of 12*r**2 + 82*r - 5719 wrt r. 24*r + 82 What is the third derivative of 153*j**5 - 447*j**2 - 4*j wrt j? 9180*j**2 Differentiate 3*b**4*d**2 + 35*b*d**2 + 2*b*d + 2*d**2 - 371*d wrt b. 12*b**3*d**2 + 35*d**2 + 2*d What is the second derivative of -2*p*r**3 - 2*p + 42*r**5 + 20*r wrt r? -12*p*r + 840*r**3 Differentiate 8279*d**3*m*q + 8*d**3*q + 106*d**2*q + 2*d*q + 2*q with respect to m. 8279*d**3*q Find the third derivative of -555*x**3 + 2*x**2 + x - 6. -3330 What is the third derivative of -32*p**4*y**3 - p**4*y - 2*p**2*y**3 - 18*p**2 + 5*p wrt p? -768*p*y**3 - 24*p*y What is the second derivative of 43*b**5*v**2 - 38*b**2*v + 8*b*v**2 + 165*v**2 wrt b? 860*b**3*v**2 - 76*v Find the first derivative of 3*b**3*f**2*t + 8*b**3*f - 6*b**3 + f**2*t - 5*t wrt f. 6*b**3*f*t + 8*b**3 + 2*f*t What is the second derivative of -w**4 - 65*w**2 + 256*w - 2? -12*w**2 - 130 What is the derivative of 14455*f + 12684? 14455 What is the third derivative of a**3*n**3*s**3 + 739*a**3*n**3 - 5*a**2*n**3*s**3 - 27*a**2*s - a*n**2*s**3 - a*s**3 wrt a? 6*n**3*s**3 + 4434*n**3 Find the second derivative of u**3 - 316*u**2*w**2 + 193*u + 2*w**2 wrt u. 6*u - 632*w**2 Find the third derivative of -7*l**6 + l**5 + 3*l**3 + 23*l**2 - 38. -840*l**3 + 60*l**2 + 18 Differentiate -4*v**3 + 137*v**2 - 68 with respect to v. -12*v**2 + 274*v Differentiate 2*m**3*p - 2*m**3*v**2 - m**2*p*v**2 + m**2*v**2 + 4*m*p*v**2 - 7*m*v**2 with respect to p. 2*m**3 - m**2*v**2 + 4*m*v**2 Find the first derivative of -520*c + 437 wrt c. -520 Find the first derivative of b*k + 1445*b + 563*k wrt k. b + 563 Find the second derivative of 94*r**2*u - 2*r*u - 10*r + u wrt r. 188*u What is the third derivative of 11665*h**3*o**3 - 3*h**2*o + 36*h*o + 2*o**3 - o wrt h? 69990*o**3 What is the third derivative of 621*n**3 - 45*n**2 - n? 3726 Find the second derivative of -g**2*l**3 - 795*g**2*l - 2*g**2 - 239*g*l**3 + l**3 wrt g. -2*l**3 - 1590*l - 4 Find the third derivative of 763*t**3*v**3 - t**3*v**2 + 323*t**2*v**2 - 3*v**3 wrt v. 4578*t**3 - 18 What is the third derivative of -y**4 - 8*y**3 + 169*y**2? -24*y - 48 What is the second derivative of -26*r**3*s**2 + r**3 + 33*s wrt s? -52*r**3 Find the second derivative of 990*c*m**3 + c*m - c + 1529*m wrt m. 5940*c*m Find the third derivative of -13085*h**3*i - 10*h**2*i + 2*i wrt h. -78510*i What is the second derivative of 37*y**4 - 419*y wrt y? 444*y**2 What is the third derivative of -167*z**4 + 2*z**2 - 15*z? -4008*z What is the first derivative of 286*o**3 - 2*o + 16 wrt o? 858*o**2 - 2 Find the third derivative of -2*a**4 - 992*a**3 + 76*a**2 - 8*a wrt a. -48*a - 5952 What is the third derivative of -9707*p**3 - 1241*p**2 wrt p? -58242 Find the third derivative of -83*f*l**6 - 50*f*l**3 + 2*f + 2162*l**2 wrt l. -9960*f*l**3 - 300*f Find the second derivative of -431*l**4*z + l**3*z - 2*l*z - 28*l - 12*z wrt l. -5172*l**2*z + 6*l*z Find the first derivative of 69*j*u**2 + 2*j + 617*u**2 wrt j. 69*u**2 + 2 What is the second derivative of 3*h**2*n**2 + 57*h**2 - 2*h*n - 14*n**2 - n wrt h? 6*n**2 + 114 What is the first derivative of -6*m**2*o + 2*m**2 + 4*m*o - 225*m wrt o? -6*m**2 + 4*m Find the third derivative of 2*k**4*v - 1576*k**3*v + 2*k**2 - 1020*v wrt k. 48*k*v - 9456*v What is the third derivative of -2*o*r**4 - 2*o*r**2 + 10*o + 8*r**4 + 7*r**3 + 2*r wrt r? -48*o*r + 192*r + 42 What is the third derivative of 3*m**3*v**3 + 504*m**3*v**2 - 15*v**3 wrt v? 18*m**3 - 90 What is the third derivative of 2383*k**2*u**3*w + 3*k**2*u*w + k**2*u + u**2*w + 2*u**2 wrt u? 14298*k**2*w What is the derivative of -49*j**3 + j**2 - 412 wrt j? -147*j**2 + 2*j Find the third derivative of -1558*o**4 + 9*o**2 - 26. -37392*o What is the third derivative of 1620*z**5 - 9955*z**2? 97200*z**2 Find the third derivative of -232*v**4 + 14*v**2 - 4*v wrt v. -5568*v Differentiate 24238*p**3*s**3 + 867*p**3 + p**2*s**3 + 8*p**2 with respect to s. 72714*p**3*s**2 + 3*p**2*s**2 Find the third derivative of 251*f**4 + 203*f**2. 6024*f Find the third derivative of -1342*o*x**3 + 350*o*x**2 + 2*o*x wrt x. -8052*o What is the first derivative of -213*m*x**2 + 8*m + x**2 - 34 wrt x? -426*m*x + 2*x Find the first derivative of -1259*j - 2094. -1259 What is the second derivative of -13*b**3 + 20*b**2 + 2*b + 274? -78*b + 40 What is the second derivative of -285*m**2 + 183*m wrt m? -570 What is the third derivative of -7*b*t**4 + 34*b*t**3 + 1608*b*t**2 + t**4 wrt t? -168*b*t + 204*b + 24*t What is the derivative of 14*n*w**2 + 5*n*w + 71*n + w**4 - 43 wrt w? 28*n*w + 5*n + 4*w**3 What is the first derivative of -356*k*m + 6*k*o + 4*k + 130*m*o**3 - m wrt o? 6*k + 390*m*o**2 Find the second derivative of 626*r**2 + 243*r. 1252 What is the first derivative of 2*d**4*q - 980*d**3*q**2 + 7*q**2 - 44 wrt d? 8*d**3*q - 2940*d**2*q**2 What is the third derivative of -159*i*j**4 - 173*i*j - 2*j**6 + 3*j**2 wrt j? -3816*i*j - 240*j**3 What is the second derivative of 225*z**2 - 191*z? 450 What is the second derivative of 1256*u**5 - 3*u + 174? 25120*u**3 Find the third derivative of 1662*q**6 -
{ "pile_set_name": "DM Mathematics" }
n). -2*n*(n - 1)/15 Let w(k) be the first derivative of -2/33*k**3 - 162/11*k - 28 - 18/11*k**2. What is q in w(q) = 0? -9 Suppose 5 = -3*c - 19. Let y(w) = -7*w**2 - 23*w + 24. Let z(d) = 20*d**2 + 68*d - 72. Let b(f) = c*y(f) - 3*z(f). Find r, given that b(r) = 0. -6, 1 Let u(w) be the second derivative of w**7/63 - 4*w**6/15 + 22*w**5/15 - 35*w**4/9 + 17*w**3/3 - 14*w**2/3 + 20*w. Suppose u(q) = 0. Calculate q. 1, 2, 7 Let l = -17 - -31. Let f = l + -12. Factor 19*q - 8*q - q**f + 1 - 11*q. -(q - 1)*(q + 1) Let c = 16060 + -48179/3. Let 0*z**2 - c*z**4 + 0*z + 0 + 2/3*z**3 = 0. What is z? 0, 2 Let p be (4 - -2) + ((-48)/3)/4. Factor 3*k**2 - 3*k**2 - 1 + k**p. (k - 1)*(k + 1) Let n = -1849 - -1849. Let j(a) be the third derivative of 0*a**3 - a**2 - 1/60*a**4 + 0 + 1/300*a**5 + n*a. Factor j(o). o*(o - 2)/5 Let i(o) be the third derivative of -o**6/40 - 11*o**5/20 + 3*o**4/2 - 375*o**2. Solve i(x) = 0. -12, 0, 1 Let t(z) = -7*z**2 + 27*z**3 - 7*z**4 - 18*z**4 + 5*z**4. Let w(s) = -40*s**4 + 55*s**3 - 15*s**2. Let a(h) = 5*t(h) - 2*w(h). Find x, given that a(x) = 0. 0, 1/4, 1 Let r be (-356)/28 + 220/22 - (-5)/1. Factor 8/7 + 0*v**4 - 8/7*v**2 + 12/7*v + 4/7*v**5 - r*v**3. 4*(v - 2)*(v - 1)*(v + 1)**3/7 Determine g, given that 108/7 + 39/7*g + 3/7*g**2 = 0. -9, -4 Let w = 21 - 62/3. Let v be (4 + -4)/((-4)/(-120)*-6*10). Factor -1/3*p**2 + 2/3*p + v - w*p**3. -p*(p - 1)*(p + 2)/3 Let a = -2727/8 - -341. Let r(h) be the third derivative of 0*h + h**2 - 3/70*h**7 + 0 + 0*h**3 - a*h**4 + 3/20*h**5 + 1/40*h**6. Factor r(u). -3*u*(u - 1)*(u + 1)*(3*u - 1) Let q(h) = 30*h**2 + 300*h + 455. Let r(x) = 7*x**2 + 74*x + 114. Let t(a) = -6*q(a) + 25*r(a). What is d in t(d) = 0? -2, 12 Let h(x) be the first derivative of -5/2*x**2 - x**3 + 1/5*x**5 + 13 - 2*x + 1/4*x**4. Factor h(p). (p - 2)*(p + 1)**3 Let l = -52 - -59. Factor 7*s - l - 26*s**2 - s + 3 + 24*s. -2*(s - 1)*(13*s - 2) Factor 0 - 2/5*v**3 - 722/5*v - 76/5*v**2. -2*v*(v + 19)**2/5 Let x(f) be the third derivative of f**5/100 - 3*f**4/40 + f**3/5 + 255*f**2. Solve x(d) = 0 for d. 1, 2 Let v = 21 - 20. Suppose o = 2 + v. Find p such that 3*p**4 + 16*p**o + 61*p**4 + 26*p**5 + 2*p**5 = 0. -2, -2/7, 0 Suppose 3*m + 0*i - 9 = i, 2*i = -4*m + 12. Factor -4/5*b**2 + 4/5*b + 1/5*b**m + 0. b*(b - 2)**2/5 Suppose -4*s = 5*m + 29 - 7, 4 = 2*s - 5*m. Let k(y) = 17*y**2 + 4*y. Let q(z) = 52*z**2 + 12*z. Let w(d) = s*q(d) + 10*k(d). Factor w(p). 2*p*(7*p + 2) Let w be 3/((2 - 0)*2/4). Let h(c) be the first derivative of 0*c**w + 1/39*c**6 + 0*c + 4/65*c**5 + 4 + 0*c**2 + 1/26*c**4. Factor h(q). 2*q**3*(q + 1)**2/13 Let i(b) be the first derivative of 2*b**5/5 + 2*b**4 - 17. Factor i(w). 2*w**3*(w + 4) Suppose -20*a + 79 = 19. Suppose 0 = -a*h + 5*u, -5*h = 2*u + 3*u. Factor -2/3*k**2 + 2/3*k**3 + h*k + 0. 2*k**2*(k - 1)/3 Determine u so that -3/7*u**2 + 0*u - 3/7*u**3 + 0 = 0. -1, 0 Let m(s) = 20*s**3 + 24*s**2 + 20*s - 16. Suppose -3*p + 6*p = 48. Let l(x) = -4*x**3 - 5*x**2 - 4*x + 3. Let f(n) = p*l(n) + 3*m(n). Solve f(c) = 0. -1, 0 Let p(y) = -3*y**5 + 7*y**4 + 9*y**3 - 15*y**2 + 6*y. Let f(w) = -6*w**5 + 15*w**4 + 18*w**3 - 30*w**2 + 12*w. Let c(g) = -4*f(g) + 9*p(g). Factor c(r). -3*r*(r - 1)**3*(r + 2) Let t(y) be the second derivative of y**4/54 - 4*y**3/9 + 4*y**2 - 9*y + 2. What is q in t(q) = 0? 6 Let n(f) = -7*f - 14. Let q be n(-3). Determine o so that 2*o**2 - 4*o**2 + 9*o**4 - q*o**2 - 20*o + 17*o - 12*o**5 + 15*o**3 = 0. -1, -1/4, 0, 1 Let s(m) be the first derivative of -4*m**3/3 - 132*m**2 + 544*m + 301. Factor s(l). -4*(l - 2)*(l + 68) Let u(d) be the second derivative of -3*d**5/70 + 7*d**4/6 - 208*d**3/21 + 64*d**2/7 - 196*d. Let u(n) = 0. Calculate n. 1/3, 8 Suppose 17 = 2*x - 11. Suppose r**3 + 41*r + 70*r**2 + 44*r + 30 + x*r**3 = 0. What is r? -3, -1, -2/3 Let r(y) be the third derivative of 13/8*y**4 + 7/40*y**6 + 1/70*y**7 + 0 + 2*y**3 + 3/4*y**5 - 8*y**2 + 0*y. Factor r(w). 3*(w + 1)**3*(w + 4) Let u(k) be the first derivative of 12*k**5/5 + 8*k**4 - 4*k**3 - 7. Factor u(h). 4*h**2*(h + 3)*(3*h - 1) Let d(x) be the second derivative of -x**8/4200 - x**7/1050 + x**6/300 - x**3/6 + 14*x. Let p(r) be the second derivative of d(r). Let p(h) = 0. Calculate h. -3, 0, 1 Let v(a) be the first derivative of 0*a - 4/3*a**3 - a**2 - 31 + 21/4*a**4 + 175/48*a**6 + 11*a**5. What is m in v(m) = 0? -2, -2/5, 0, 2/7 Let j = 309 + -307. Suppose -2/3*p**j + 0 + 0*p = 0. Calculate p. 0 Let h(l) be the second derivative of -l**6/120 - l**5/15 - l**4/6 - 4*l**3/3 - 18*l. Let x(i) be the second derivative of h(i). Factor x(w). -(w + 2)*(3*w + 2) Solve -10/7 + 12/7*s + 22/7*s**2 = 0 for s. -1, 5/11 Let u(f) be the second derivative of -4*f + 1/165*f**6 - 2 + 0*f**3 - 1/231*f**7 + 0*f**2 + 1/110*f**5 - 1/66*f**4. Factor u(w). -2*w**2*(w - 1)**2*(w + 1)/11 Let w(h) = -3*h**2 + 50*h - 22. Let c be w(16). Solve c + 18 - 525*t + 549*t - 4*t**2 = 0. -1, 7 Let n = 60309/74 - 815. Let c = n - -751/814. Determine p, given that -c*p**2 + 0 + 4/11*p = 0. 0, 2/5 Let x(b) = -b**4 - b**3 + b + 1. Let t(c) = -4*c**4 - 29*c**3 - 65*c**2 - 61*c - 21. Suppose 11*p - 7*p = -4. Let n(f) = p*x(f) - t(f). Solve n(j) = 0. -2, -1 Solve 16/3*q**2 + 14/3*q - 92/9 + 2/9*q**3 = 0. -23, -2, 1 Let d(p) be the second derivative of -14*p + 0 + 3/4*p**4 + 24*p**2 + 6*p**3 + 3/80*p**5. Factor d(r). 3*(r + 4)**3/4 Let y(u) be the third derivative of -1/28*u**7 + 5/24*u**6 + 5/24*u**4 + 0*u + 0*u**3 - 15*u**2 - 3/8*u**5 + 0. Let y(f) = 0. What is f? 0, 1/3, 1, 2 Let l(q) = -5*q**2 + 16*q - 3. Let d = -26 - -35. Let o(n) = 9*n**2 - 33*n + 6. Let k(b) = d*l(b) + 4*o(b). Factor k(p). -3*(p - 1)*(3*p - 1) Suppose -11/8 + 1/4*o**4 + 23/8*o**3 - 23/8*o + 9/8*o**2 = 0. What is o? -11, -1, -1/2, 1 Suppose 5 = -5*s - 5*y, 3*y = 2*s - 2*y - 19. Let f be (-6)/(-24) - (-3)/(-24)*s. Factor -8/3*j**2 + 0*j**3 + f*j + 4/3*j**4 + 4/3. 4*(j - 1)**2*(j + 1)**2/3 Determine p, given that -2/11*p**4 + 32/11*p**2 - 8/11*p**3 - 96/11 + 32/11*p = 0. -6, -2, 2 Suppose 0 = -4*o, 5*r + 9*o + 535 = 8*o. Let g = 215/2 + r. Factor -g*z**2 + z + 3/2. -(z - 3)*(z + 1)/2 What is s in -2/19*s**4 - 168/19*s - 12/19*s**3 + 88/19 + 94/19*s**2 = 0? -11, 1, 2 Let v(q) = q**3 - q**2 + q + 1. Let n(i) = -2*i**3 - 14*i**2 + 2*i + 2. Let h(j) = -n(j) + 2*v(j). Factor h(c). 4*c**2*(c + 3) Factor -116/3*f**2 - 14/3*f**3 + 12 + 94/3*f. -2*(f - 1)*(f + 9)*(7*f + 2)/3 Let b(j) = 15*j**2 - 218*j - 540. Let f(t) = 5*t**2 - 72*t - 180. Let i(z) = -4*b(z) + 11*f(z). Solve i(g) = 0 for g. -2, 18 Solve 0 - 24/5*v**4 + 18*v**3 + 33/5*v - 3/5*v**5 - 96/5*v**2 = 0. -11, 0, 1 Let c(n) be the second derivative of n**5/4 + 215*n**4/12 + 415*n**3/6 + 205*n**2/2 - 335*n. Factor c(l). 5*(l + 1)**2*(l + 41) Let w = -199 + 205. Suppose -48*r + 45*r = -w. Factor -3/2*d**r - 1/2 - 2*d. -(d + 1)*(3*d + 1)/2 Let h(j) be the third derivative of j**5/30 + 17*j**4/6 + 289*j**3/3 + 42*j**2. Factor h(k). 2*(k + 17)**2 Find q such that 5*q - 13*q + q**2 - 7*q**2 - 43*q = 0. -17/2, 0 Suppose -1/8*g**2 - 2*g + 1/8*g**3 + 2 = 0. What is g? -4, 1, 4 Let k(o) be the second derivative of -o**7/168 + o**6/12 + 9*o**5/20 + 19*o**4/24 + 13*o**3/24 - 120*o + 2. Factor k(t). -t*(t - 13)*(t + 1)**3/4 Let u(b) = 14*b**3 + 12*b**2 - 29*b - 42. Let p(a) = -12*a**3 - 12*a**2 + 28*a + 40. Let c(q) = 5*p(q) + 4*u(q). Find t such that c(t) = 0. -4, -1, 2 Let o(w) be the first derivative of w**4 + 8*w**3/3 - 8*w**2 - 32*w + 108. Determine k so that o(k) = 0. -2, 2 Suppose -2*b**4 + 8/5*b**3 + 0 + 2/5*b**5 + 0*b**2 + 0*b = 0. What is b? 0, 1, 4 Let q = -3 - -3. Let s be ((-21)/7)/((-9)/6). Factor -s*x**3 + 0 + 2/3*x**4 + q*x + 4/3*x**2. 2*x**2*(x - 2)*(x - 1)/3 Let a = -8101/2 - -4052. Suppose -a*f**2 + 3/4*f + 0 + 3/4*f**3 = 0. What is f? 0, 1 Let o be (-160)/(-14) + (-16)/(-28). Suppose 8*m = 4*m + o. Suppose -6*d**2 - 4*d + 1 + m*d**2 - 8*d**3 + 8*d + 4*d**5 + d**4 + d**2 = 0. Calculate d. -1, -1/4, 1 Determine o so that -32 + 33*o - 9*o - 21*o**3 + 8*o**3 + 12*o**2 + 9*o**3 = 0. -2, 1, 4 Let r be 520/(-50) - 4/(-10). Let i be 2/r - 4/(-10). Factor 6/5*q**3 + 4/5*q**4 + 4/5*q**2 + i*q + 0 + 1/5*q**5. q*(q + 1)**4/5 Let n(m) be the first derivative of m**6/2 + 9*m**5/5 - 33*m**4/4 - 3*m**3 + 15*m**2 - 235. Determine b, gi
{ "pile_set_name": "DM Mathematics" }
250, -447, -700? -28*y**2 - y + 5 What is the f'th term of 284, 562, 850, 1154, 1480, 1834? f**3 - f**2 + 274*f + 10 What is the m'th term of 73, 71, 77, 97, 137, 203? m**3 - 2*m**2 - 3*m + 77 What is the u'th term of 382, 765, 1148, 1531? 383*u - 1 What is the t'th term of -80, -167, -244, -311, -368, -415? 5*t**2 - 102*t + 17 What is the c'th term of -378, -754, -1130, -1506, -1882? -376*c - 2 What is the v'th term of 214, 435, 656, 877? 221*v - 7 What is the h'th term of 2611, 5228, 7855, 10498, 13163, 15856? h**3 - h**2 + 2613*h - 2 What is the z'th term of -36, -50, -46, -18, 40, 134, 270, 454? z**3 + 3*z**2 - 30*z - 10 What is the w'th term of -13, -50, -107, -184, -281, -398? -10*w**2 - 7*w + 4 What is the i'th term of -108, -216, -324? -108*i What is the k'th term of 29, 40, 61, 98, 157, 244, 365, 526? k**3 - k**2 + 7*k + 22 What is the u'th term of -2034, -2038, -2044, -2052? -u**2 - u - 2032 What is the w'th term of -14657, -14658, -14659, -14660, -14661? -w - 14656 What is the h'th term of -22, -29, -38, -49, -62, -77? -h**2 - 4*h - 17 What is the n'th term of -17, -16, -19, -32, -61? -n**3 + 4*n**2 - 4*n - 16 What is the b'th term of -272, -1071, -2402, -4265, -6660? -266*b**2 - b - 5 What is the l'th term of -42, -87, -162, -267, -402, -567? -15*l**2 - 27 What is the s'th term of -2, -5, -12, -23, -38, -57, -80? -2*s**2 + 3*s - 3 What is the k'th term of -3345, -13385, -30117, -53541, -83657? -3346*k**2 - 2*k + 3 What is the b'th term of -28251, -28255, -28261, -28269? -b**2 - b - 28249 What is the s'th term of -2836, -2832, -2828, -2824, -2820, -2816? 4*s - 2840 What is the m'th term of 52, 145, 300, 517, 796, 1137? 31*m**2 + 21 What is the l'th term of -188, -187, -186, -185, -184, -183? l - 189 What is the s'th term of -92, -193, -294, -395, -496? -101*s + 9 What is the u'th term of -40, -81, -120, -157? u**2 - 44*u + 3 What is the p'th term of 259, 267, 289, 331, 399, 499, 637? p**3 + p**2 - 2*p + 259 What is the q'th term of 46, 55, 64, 73, 82, 91? 9*q + 37 What is the r'th term of 64, 59, 54, 49, 44? -5*r + 69 What is the v'th term of -6, 22, 68, 132? 9*v**2 + v - 16 What is the y'th term of 807, 1610, 2427, 3264, 4127? y**3 + y**2 + 793*y + 12 What is the c'th term of -1609, -1610, -1611, -1612, -1613? -c - 1608 What is the u'th term of 45, 3, -73, -189, -351, -565? -u**3 - 11*u**2 - 2*u + 59 What is the a'th term of -6, 13, 56, 129, 238? a**3 + 6*a**2 - 6*a - 7 What is the p'th term of 79, 143, 257, 427, 659? p**3 + 19*p**2 + 59 What is the x'th term of 19, 49, 79, 109? 30*x - 11 What is the z'th term of -21, -94, -209, -360, -541, -746, -969? z**3 - 27*z**2 + z + 4 What is the m'th term of -30, -40, -50, -60, -70, -80? -10*m - 20 What is the z'th term of -121, -202, -283, -364, -445? -81*z - 40 What is the s'th term of 13, 8, 3, -2, -7, -12? -5*s + 18 What is the o'th term of -82, -162, -242, -322, -402? -80*o - 2 What is the r'th term of 392, 391, 390? -r + 393 What is the u'th term of 15, -128, -521, -1290, -2561, -4460, -7113, -10646? -21*u**3 + u**2 + u + 34 What is the k'th term of 6713, 6714, 6715, 6716, 6717? k + 6712 What is the m'th term of -8, -38, -118, -272, -524, -898, -1418, -2108? -4*m**3 - m**2 + m - 4 What is the r'th term of 19, 150, 495, 1156, 2235, 3834? 17*r**3 + 5*r**2 - 3*r What is the u'th term of -521, -1042, -1565, -2090, -2617, -3146, -3677? -u**2 - 518*u - 2 What is the a'th term of 188, 377, 564, 749, 932, 1113? -a**2 + 192*a - 3 What is the x'th term of -38, -82, -124, -164, -202? x**2 - 47*x + 8 What is the p'th term of -755, -3026, -6811, -12110? -757*p**2 + 2 What is the c'th term of 5173, 5176, 5181, 5188? c**2 + 5172 What is the n'th term of -4773, -4772, -4771, -4770, -4769, -4768? n - 4774 What is the w'th term of 23, 12, -13, -58, -129, -232, -373? -w**3 - w**2 - w + 26 What is the c'th term of -53, -46, -39, -32, -25? 7*c - 60 What is the m'th term of -220, -212, -186, -136, -56? m**3 + 3*m**2 - 8*m - 216 What is the u'th term of 2705, 2693, 2673, 2645, 2609, 2565, 2513? -4*u**2 + 2709 What is the g'th term of -7, -9, -11, -13? -2*g - 5 What is the c'th term of -601, -600, -599? c - 602 What is the n'th term of 460, 451, 442, 433, 424, 415? -9*n + 469 What is the s'th term of 33, 53, 93, 159, 257, 393? s**3 + 4*s**2 + s + 27 What is the j'th term of -1164, -1162, -1160, -1158? 2*j - 1166 What is the a'th term of -422, -432, -446, -464, -486, -512? -2*a**2 - 4*a - 416 What is the m'th term of 196, 193, 190, 187, 184, 181? -3*m + 199 What is the d'th term of -32, -66, -100? -34*d + 2 What is the a'th term of -730, -731, -732, -733? -a - 729 What is the o'th term of -1897, -1898, -1899, -1900, -1901? -o - 1896 What is the c'th term of 357, 359, 361? 2*c + 355 What is the n'th term of 39, 58, 75, 90? -n**2 + 22*n + 18 What is the j'th term of 36, 80, 156, 264, 404, 576, 780? 16*j**2 - 4*j + 24 What is the g'th term of 407, 800, 1179, 1550, 1919? g**3 - 13*g**2 + 425*g - 6 What is the n'th term of 18, 26, 20, -6, -58, -142, -264? -n**3 - n**2 + 18*n + 2 What is the l'th term of 5870, 5873, 5876, 5879, 5882, 5885? 3*l + 5867 What is the s'th term of 196, 211, 252, 331, 460? 2*s**3 + s**2 - 2*s + 195 What is the c'th term of 82, 107, 132, 157? 25*c + 57 What is the h'th term of -4, 15, 54, 119, 216? h**3 + 4*h**2 - 9 What is the m'th term of -49, -130, -261, -448, -697, -1014, -1405? -m**3 - 19*m**2 - 17*m - 12 What is the m'th term of -63, -67, -77, -99, -139, -203, -297? -m**3 + 3*m**2 - 6*m - 59 What is the h'th term of 151, 147, 143? -4*h + 155 What is the b'th term of 9121, 9120, 9119? -b + 9122 What is the j'th term of 36, 37, 38, 39? j + 35 What is the p'th term of -402, -3152, -10618, -25158, -49130, -84892, -134802, -201218? -393*p**3 + p - 10 What is the a'th term of -61, -195, -417, -733, -1149? -a**3 - 38*a**2 - 13*a - 9 What is the z'th term of -7, -7, 13, 59, 137, 253, 413? z**3 + 4*z**2 - 19*z + 7 What is the i'th term of 42, 9, -10, -9, 18, 77? i**3 + i**2 - 43*i + 83 What is the k'th term of 1468, 1482, 1494, 1504, 1512, 1518? -k**2 + 17*k + 1452 What is the r'th term of -23, 38, 205, 532, 1073? 9*r**3 - r**2 + r - 32 What is the l'th term of -27, -158, -509, -1188, -2303? -18*l**3 - 2*l**2 + l - 8 What is the n'th term of 738, 736, 724, 696, 646, 568, 456, 304? -n**3 + n**2 + 2*n + 736 What is the v'th term of -5, -20, -41, -62, -77? v**3 - 9*v**2 + 5*v - 2 What is the s'th term of -21, -37, -53, -69, -85? -16*s - 5 What is the a'th term of 0, -3, -20, -57, -120, -215, -348, -525? -a**3 - a**2 + 7*a - 5 What is the j'th term of 7, 9, 19, 37? 4*j**2 - 10*j + 13 What is the y'th term of 36, 93, 182, 309, 480, 701, 978? y**3 + 10*y**2 + 20*y + 5 What is the i'th term of 54, 211, 484, 879, 1402, 2059, 2856, 3799? i**3 + 52*i**2 - 6*i + 7 What is the q'th term of -391, -419, -473, -559, -683? -q**3 - 7*q**2 - 383 What is the n'th term of 21, 45, 71, 99, 129? n**2 + 21*n - 1 What is the q'th term of 437, 1738, 3915, 6974, 10921, 15762, 21503? q**3 + 432*q**2 - 2*q + 6 What is the n'th term of -3, 9, 43, 111, 225, 397, 639, 963? 2*n**3 - n**2 + n - 5 What is the j'th term of -23, -44, -65, -86, -107, -128? -21*j - 2 What is the n'th term of 48, 102, 156, 210, 264, 318? 54*n - 6 What is the f'th term of 925, 933, 953, 991, 1053, 1145, 1273? f**3 + f + 923 What is the x'th term of 1288, 2571, 3854, 5137, 6420? 1283*x + 5 What is the n'th term of 20, 14, -40, -166, -388, -730, -1216, -1870? -4*n**3 + 22*n + 2 What is the d'th term of 20, -5, -30, -55? -25*d + 45 What is the y'th term of 7, 35, 75, 121, 167? -y**3 + 12*y**2 - y - 3 What is the p'th term of -164, -224, -284, -344, -404? -60*p - 104 What is the p'th term of -265, -255, -221, -151, -33, 145, 395, 729? 2*p**3 - 4*p - 263 What is the a'th term of 18, 72, 172, 324, 534, 808, 1152, 1572? a**3 + 17*a**2 - 4*a + 4 What is the i'th term of -1499, -2992, -4485, -5978, -7471, -8964? -1493*i - 6 What is the f'th term of -4291, -4292, -4295, -4300, -4307? -f**2 + 2*f - 4292 What is the j'th term of 191, 316, 453, 608, 787, 996? j**3 + 118*j + 72 What is the i'th term of -40, -58, -72, -82, -88? 2*i**2 - 24*i - 18 What is the l'th term of -3, 17, 87, 231, 473, 837? 4*l**3 + l**2 - 11*l + 3 What is the u'th term of -54, -46, -4
{ "pile_set_name": "DM Mathematics" }
ative of 0*l**2 + 8 - 1/2*l**s - 7*l + 0*l**3. Differentiate p(d) wrt d. -6*d**2 Let v(i) = i**3 + 10*i**2 + 2*i + 7. Let o be v(-10). Let p = 15 + o. What is the second derivative of p*a**3 + 0*a**3 - 4*a - 7*a**3 wrt a? -30*a Let c(i) be the second derivative of -i**3/3 - 5*i**2/2 + 2*i. Let o be c(-6). What is the third derivative of o*f**2 - 2*f**4 + 0*f**2 - 6*f**4 - 4*f**2 wrt f? -192*f Let r(y) be the first derivative of 749*y**4/4 + 14*y - 312. Differentiate r(t) with respect to t. 2247*t**2 Let p(n) = 508*n**2 + 16*n + 12. Let v(h) = -505*h**2 - 16*h - 11. Let k(y) = -6*p(y) - 5*v(y). What is the second derivative of k(d) wrt d? -1046 Let h = 53 + 6. Suppose g - 57 = -2*x, -h - 55 = -2*g + x. What is the first derivative of -53 + g + u + 3*u + 5*u wrt u? 9 Let s(z) = -880*z**3 + 5*z**2 - 8*z - 1360. Let l(x) = -294*x**3 + 2*x**2 - 3*x - 453. Let h(c) = -8*l(c) + 3*s(c). What is the derivative of h(f) wrt f? -864*f**2 - 2*f Let r = 679/3 + -226. Let s(w) be the second derivative of -5*w**2 + 0 + 7*w + r*w**3. Differentiate s(m) wrt m. 2 Let b = -114 - -117. Let a(i) = i. Let h(l) = -48*l**2 - 46*l. Let s(k) = b*a(k) + h(k). Find the second derivative of s(d) wrt d. -96 Let v(o) be the first derivative of -1 + 0*o + 0*o**2 + 4/3*o**3 - 1/4*o**4. Find the third derivative of v(y) wrt y. -6 Let c(r) be the third derivative of 1/2*r**3 + 0*r + 0 + 13*r**2 - r**4. Differentiate c(t) with respect to t. -24 Differentiate 7*x - 89*x - 63*x + 122 with respect to x. -145 Let o(q) = q**2 + q + 4. Let p be 0*((-3)/(-6))/1. Let d be o(p). What is the third derivative of 5*z**d - 2 + 2 + 4*z**2 - z**2 wrt z? 120*z What is the third derivative of 4951*x**2 + 3 - 4618*x**2 + 13*x**4 - 3 + 8*x**5 wrt x? 480*x**2 + 312*x Let c be -3*1*(-2)/2. Let h = -15 + 17. Find the second derivative of 8*b - 6*b**2 + 10*b**h + c*b**2 wrt b. 14 What is the derivative of 55*u**3 - 31*u**3 - 24*u**3 + 7*u**4 - 128 wrt u? 28*u**3 Let i(m) be the first derivative of -3*m**4/2 - 6*m**2 - 12*m - 7. Let t(b) be the first derivative of i(b). Differentiate t(g) with respect to g. -36*g Suppose 0 = 3*o - 0*o. What is the derivative of o - 19*y + 3*y**2 + 12 + 19*y wrt y? 6*y Find the second derivative of 2*y**4 - 35*y**5 + 109*y**5 - 16*y + 21*y + 26*y**5 + 1 + 21*y wrt y. 2000*y**3 + 24*y**2 Let g be 5/(4*(-1)/(-8)) + -3. What is the second derivative of -i**3 + 2*i**3 + g*i - 7*i**3 - 6*i**3 wrt i? -72*i Let h(l) be the first derivative of -3*l**5/20 + l**4/12 + 3*l**2/2 - 6. Let t(s) be the second derivative of h(s). What is the second derivative of t(o) wrt o? -18 Suppose 8*z - 27 = 5*z. Let r be (z/5)/((-21)/(-70)). Find the third derivative of -6*d**3 - 7*d**3 + 11*d**3 - r*d**2 wrt d. -12 Let s(u) = -457*u**3 - 11*u**2 + 166*u + 22. Let m(t) = 152*t**3 + 4*t**2 - 55*t - 8. Let z(g) = -11*m(g) - 4*s(g). Find the second derivative of z(j) wrt j. 936*j Let x(o) be the second derivative of -55*o**4/4 - o**3/3 + 31*o**2/2 + 249*o. Find the second derivative of x(l) wrt l. -330 Let d(f) be the third derivative of -107*f**7/210 + 27*f**3 + 8*f**2 - 8*f. Find the first derivative of d(b) wrt b. -428*b**3 Let t(i) = -20*i + 1. Let f(q) be the second derivative of -q**3/6 + q**2/2 - 41*q. Let n(o) = 3*f(o) + t(o). Differentiate n(l) with respect to l. -23 Let k = 5 - 3. What is the third derivative of -i**4 + 10*i**4 + 4*i**4 + 10*i**2 + k*i**4 wrt i? 360*i Let b = -16 + 20. Suppose -b*i + 8 = -8. What is the second derivative of -9*x - i*x**3 + x + 0*x wrt x? -24*x Let d(z) = 6*z**3 + 223*z**2 - 198*z - 14. Let q(h) = -5*h**3 - 225*h**2 + 198*h + 12. Let y(k) = -6*d(k) - 7*q(k). Find the second derivative of y(a) wrt a. -6*a + 474 Let x(u) = u - 3. Let s be x(5). Suppose 4*q + 4*l = 28, -5*l + 18 = -s*q - 3. What is the first derivative of -27*r**q + 6 + 27*r**2 - 6*r**3 wrt r? -18*r**2 Let g(h) be the first derivative of 31*h**6/360 - h**4/8 + 19*h**3/3 + 31. Let k(b) be the third derivative of g(b). What is the first derivative of k(m) wrt m? 62*m Let a(s) be the second derivative of s**7/315 + s**6/144 - s**4/12 - 6*s. Let g(b) be the third derivative of a(b). Find the second derivative of g(z) wrt z. 16 Let p be 3 - (-4)/8*0*1. Differentiate -36*u**p + 122 - u + u - 91 with respect to u. -108*u**2 Let f(t) = 11*t**3 - 2*t**2 + t. Let n be f(1). Let v = -8 + n. What is the first derivative of -19*q - q**v + 5 + 19*q wrt q? -2*q Find the first derivative of -4*p**2 - 10*p**2 - 3*p - 343 + 228 wrt p. -28*p - 3 What is the first derivative of -28*q - 4279 + 2460 + 3*q**4 + 2223 wrt q? 12*q**3 - 28 Find the third derivative of 30381*z**6 - 30107*z**6 + 0*z**2 - 103 - 2*z**2 wrt z. 32880*z**3 Let i(t) = 119*t + 112. Let m(v) = -120*v - 116. Let o(z) = -2*i(z) - 3*m(z). Differentiate o(g) wrt g. 122 Let m(t) = -10*t**2 - 4*t - 68. Let d(i) = -11*i**2 - 3*i - 67. Let w(p) = 4*d(p) - 3*m(p). Differentiate w(z) wrt z. -28*z Find the second derivative of 73*j**2 + 34*j + 24*j**3 - j**3 - 72*j**2 + 46*j wrt j. 138*j + 2 Let m be 6/(21/60 + (-2)/(-5)). What is the third derivative of -4*c**2 - 8*c**6 + m*c**6 + 21*c**6 wrt c? 2520*c**3 Let u be ((-6)/(-12))/((-1)/4). Let g be (-7)/(-1) - 4 - u. Find the third derivative of 18*b**2 - 5*b**g + 3*b**5 - 3*b**5 - 28*b**2 wrt b. -300*b**2 Let m(g) be the first derivative of 35*g**5 + 2*g**3/3 - 27*g**2/2 + 191. Find the third derivative of m(q) wrt q. 4200*q Let s(t) be the third derivative of 17*t**8/336 + t**7/70 + t**5/30 - 13*t**4/24 - 28*t**2. What is the third derivative of s(z) wrt z? 1020*z**2 + 72*z Let t = 3 - -2. Suppose 5*o - 13 - 22 = t*i, -3*o = 3*i - 3. Find the third derivative of -o*c**2 - 3*c**6 + 4*c**6 + 2*c**6 - 2*c**6 wrt c. 120*c**3 Suppose 11*f - f - 50 = 0. What is the second derivative of 0*b**3 - 9*b - 6*b**3 - f*b + 23*b**3 wrt b? 102*b Let d be (8/(-14))/(6/(-21)). Suppose 3*x + d*x = 25. What is the second derivative of -4 + 6*w + 4 + 8*w**x wrt w? 160*w**3 Suppose s + s - 4*j = -82, -4*j = -12. Let x be (-91)/s + 3/(-5). Find the third derivative of x*a**3 + 6*a**2 + 143*a - 143*a wrt a. 12 Let c(h) = -6*h**3 + 2*h**2 + 3*h + 2. Let t be c(-1). What is the first derivative of 6 - t + 6*r + 3 wrt r? 6 Let b(o) be the second derivative of 11*o**7/840 + o**6/30 - 5*o**3/6 + 7*o. Let x(f) be the second derivative of b(f). Find the third derivative of x(i) wrt i. 66 Let w(v) be the first derivative of -18 + 43/3*v**3 - 33*v + 0*v**2. Find the first derivative of w(a) wrt a. 86*a Let p(z) be the second derivative of 0 - z - 13/2*z**2 - 17/6*z**3. What is the derivative of p(h) wrt h? -17 Let f(n) be the first derivative of 17*n**6/3 + 49*n**2/2 - 20. Find the second derivative of f(c) wrt c. 680*c**3 Suppose a - 6*a - 2*r = -57, 4*a + 2*r = 46. Let i = a + -7. What is the second derivative of -i*s**4 + 3*s - 5*s**5 + 4*s**4 - 2*s wrt s? -100*s**3 Let g(c) be the first derivative of 2*c**5/5 + 59*c**2/2 - 31*c + 68. What is the first derivative of g(d) wrt d? 8*d**3 + 59 Suppose 0 = 11*z - 3*z - 24. Find the first derivative of u**4 - 4*u**4 - 14 - 3*u**4 - z*u**4 wrt u. -36*u**3 Suppose -14 = -3*z - 2. What is the third derivative of 30*y**4 - 17*y**5 + 21*y**2 + 0*y**5 - 30*y**z wrt y? -1020*y**2 Suppose 26*f - 2 = 25*f. Find the second derivative of 10*d**5 + 15*d**5 - 6*d + f*d + 36*d wrt d. 500*d**3 Let u(p) = 64*p**2 - 72*p + 718. Let t(r) = -22*r**2 + 26*r - 239. Let v(i) = -11*t(i) - 4*u(i). What is the derivative of v(a) wrt a? -28*a + 2 Let d(p) = 470*p**2 + 512. Let v(o) = -3*o**2 - 2. Let m(a) = d(a) + 8*v(a). Find the first derivative of m(r) wrt r. 892*r Let b(k) be the first derivative of -75*k**4/4 + 4*k**3/3 - 2*k + 339. What is the third derivative of b(f) wrt f? -450 Let v(q) be the second derivative of 0*q**2 + 0*q**4 - 43*q - 23/10*q**5 + 0 - 13/6*q**3. What is the second derivative of v(n) wrt n? -276*n Let s(d) be the first derivative of -24*d**5/5 + d**4/4 + 11*d**2 + 181. What is the second derivative of s(j) wrt j? -288*j**2 + 6*j Let v(n) be the first derivative of -314*n**3/3 - 105*n**2/2 - 2*n - 537. Find the second derivative of v(s) wrt s. -628 What is the third derivative of 81*n**2 - n**3 - 124*n**4 + 58*n**2 + 110*n**2 + 191*n**4 - 63*n**2 wrt n? 1608*n - 6 Let c(g) be the first d
{ "pile_set_name": "DM Mathematics" }
p? p Let g(j) = -j**3 - 13*j**2 + 15*j + 12. Let p be g(-14). Let u be (-3)/(-6) - 9/p. Which is the second biggest value? (a) 3/2 (b) -5 (c) u a Let z = 46 - 275/6. Which is the second smallest value? (a) z (b) 3 (c) 1 c Let d be (-4)/30*190/114. Let s be (-4)/6 + 28/15. Let z = -1 + s. Which is the third smallest value? (a) -0.2 (b) z (c) d b Let t be ((-16)/104)/(0 + 1). Which is the second smallest value? (a) 0.5 (b) 17/6 (c) t a Suppose -o + 2*m - 9 = 5*m, 3*m = -5*o + 3. Suppose -2*g + 27 = o*g + z, -3*z - 14 = -4*g. Let d = -24 + 22. What is the third smallest value in d, g, -3? g Let y = -43 + 42.8. Let x = 0.2 + -0.1. Let w = x + -0.2. Which is the second biggest value? (a) w (b) -0.4 (c) y c Let n be (-66)/(-24) - (0 + 3). What is the second biggest value in 1/6, -1/3, n, -5? n Let g = -148 - -1630/11. Which is the smallest value? (a) 3 (b) g (c) 0.2 b Let s = 7 + -6.7. What is the second biggest value in s, -4, 0.5? s Let k = -254/9 - -28. Which is the biggest value? (a) 3 (b) 0 (c) k a Let b = 38 + -37.5. Let a = -4 + 1. What is the smallest value in -4/3, b, a? a Let u = -1 + -2. Let r be 259/49 - 4/14. Let j = -1/6 + 5/3. What is the third biggest value in j, r, u? u Let m = 0.02 - -0.48. Let d = m - 1. Let k = -7 + 5. What is the second biggest value in d, k, -4? k Suppose 5*w - 5*q = -45, 4*w - 2*q + 4*q + 6 = 0. What is the smallest value in -1, w, -1/10? w Let g = 1 + -1/2. Let m = g + -7/6. Which is the second biggest value? (a) -0.2 (b) 0.1 (c) m a Let f = -8 + 3. Which is the smallest value? (a) -0.5 (b) 3 (c) 0.5 (d) f d Let s = -0.069 - 0.131. Let g be (0 - 0) + (-1)/6. What is the third smallest value in g, s, 0.5? 0.5 Let u = -1.97 + -0.03. Let v = -2.5 - u. Let s = 188/3 - 62. Which is the biggest value? (a) s (b) v (c) 4 c Let i = -3 - -3.2. What is the second biggest value in 0.4, 0, i, 0.1? i Let o = 3 - 2.8. Let h = -0.1 - 0.4. Let s = 0.03 - 2.03. Which is the third smallest value? (a) s (b) h (c) o c Let q = 3.5 - -1.5. What is the second smallest value in -0.6, q, 0.2? 0.2 Let o = 3.992 + 0.008. Which is the smallest value? (a) 0 (b) 0.4 (c) o a Let m = 75 + -79. Let c be 2 + 4/3*-2. What is the smallest value in m, -3/5, c? m Let j be 12*((-3)/(-2))/(-3). Let x = j + 9. Which is the biggest value? (a) -1 (b) x (c) -0.2 b Let a = 8.7 + -0.7. Let k = a + -7.6. Let z be (-1 + 10/9)*-1. What is the second smallest value in 1/4, k, z? 1/4 Let u = -3.7 - 1.3. Which is the third smallest value? (a) 1/2 (b) u (c) -0.04 a Let r = 1.31 - 3.31. What is the second smallest value in r, 4/3, -7? r Let p = -12 + 14.8. Let q = p + -1.8. Which is the second smallest value? (a) 2/3 (b) -0.3 (c) q a Let r = -2.8 + -0.2. Let x = r - -7. What is the smallest value in 1/8, x, -3? -3 Suppose 9 = 4*o - 3*l - 2, 2*o + 12 = -2*l. Let g = -0.3 - -0.8. Let t = -17 + 16.6. Which is the third smallest value? (a) t (b) o (c) g c Let p = 89 + -92. Let h be 14/12 - 1/2. Which is the second biggest value? (a) p (b) h (c) -0.5 c Let y = -0.488 - 0.012. Which is the second biggest value? (a) 7/5 (b) 1/6 (c) y b Let d = -80.7 + 77. Let s = -1.3 + d. Suppose 0 = 13*w - 10*w + 9. Which is the third biggest value? (a) s (b) w (c) 1 a Let x = 0.15 + 8.85. Let f = 12 - 19. Let h = f + x. What is the second smallest value in 0.5, h, -1/3? 0.5 Let p = -0.08 - 6.92. Which is the third biggest value? (a) -3 (b) 4 (c) p c Let n = 13 + -9. Let c be 20/(-16)*n/(-10). Let y(g) = -g**2 - 6*g - 5. Let j be y(-4). What is the third smallest value in 3/4, c, j? j Let j = 6 - 6.2. Let g = -6.01 + 0.01. Which is the second biggest value? (a) g (b) j (c) 0.2 b Let b = 1/36 - 115/252. Let s = 1.4 + -1. What is the smallest value in s, 3/8, b? b Let n = -44 + 43.7. What is the third smallest value in n, 5, 0.1? 5 Let g = 16 - 11. Let z = 9.08 + -0.08. Let t = g - z. What is the second biggest value in -0.5, t, -1? -1 Suppose 4*r + 2*c - 16 + 2 = 0, -3*c + 16 = 5*r. What is the third biggest value in -16, r, 1? -16 Let k = -2 + 1.8. Let f = 55/4 - 14. What is the smallest value in -2/5, k, f? -2/5 Let g = 195 + -194.7. What is the fourth biggest value in g, 0.2, -1/5, 4/9? -1/5 Let n = 35 + -34.9. Let z be (2 - 0) + (-23)/11. Which is the second smallest value? (a) z (b) n (c) -1/5 a Let h = 0.007 + 1.993. What is the second smallest value in 5, 0.5, h, 4? h Let q = 0.08 + 4.42. Let f = -4 + q. Let u = f + -0.1. Which is the third biggest value? (a) -3 (b) 0.3 (c) u a Suppose 16 = 5*k + 6*r - 3*r, -6 = -5*k + 2*r. Which is the biggest value? (a) -0.3 (b) -2/3 (c) k (d) -2 c Let o = 16.1 + -16. Let r be 2/(1 + 0 - 1080). Let h = 2128/16185 - r. What is the second smallest value in h, o, 5? h Let s(m) = m**2 + 11*m + 4. Let h be s(-6). Let y = -25 - h. What is the second smallest value in y, 4, 0.5? y Let t(d) = -d + 7. Let k be t(6). Suppose 8*p + k = 7*p. What is the second smallest value in 5, 4, p? 4 Suppose 4*z - 2*f = 26, -z + 3*f + 19 = -0*f. Suppose -3*x = -2*x - z. Let w = -6 - -4. Which is the biggest value? (a) x (b) w (c) 3 a Let b = 1.86 + -1.9. Let l = -5.04 - b. What is the smallest value in 2/9, l, 3/2? l Let o = 213748/225 - 950. Let w = 4903/225 - o. Let z = -22 + w. What is the second smallest value in -2, 3, z? z Let y(j) = 13*j + 55. Let p be y(-4). What is the second biggest value in -7, -0.1, p, -2? -0.1 Let m be 2 + 0 + -1 - (43 - 42). Let u = -0.03 - 0.03. Which is the second biggest value? (a) m (b) u (c) 5 a Let s = -0.2 + -1.8. Let c = 1 + s. Let a = 311/5 + -62. What is the biggest value in a, -0.1, c? a Let y = -1/58 + 89/116. Let h = 0.3 + -1.3. Let m = 3 + h. Which is the smallest value? (a) -3 (b) m (c) y a Let v = -1 + 1.1. Let x = -0.1 - 0.1. Let q = x + 0.4. What is the third biggest value in v, 1/4, q? v Let p = 20 - 12. Let z = -3 + p. Let u = -2520/13 - -194. Which is the biggest value? (a) u (b) z (c) 0.4 b Let w(p) = -p**3 + 5*p**2 - 5*p. Let y be w(4). Let d = -6 + 3. Let l = -3 - d. Which is the second smallest value? (a) 1 (b) l (c) y b Suppose -3*d - 4*j - 2 = -13, -4*d = -5*j + 6. Suppose -2 = -3*s + d. What is the smallest value in 0.5, 2/5, s? 2/5 Suppose 4*d = -3*q - 0*q - 218, 3*d + 3*q + 165 = 0. Let s = 211/4 + d. Let n = 274 - 1914/7. What is the biggest value in n, s, -0.3? n Let g = 0.33 - 0.46. Let l = 1.87 - g. Let p = -2 - 0. Which is the third biggest value? (a) l (b) p (c) 5 b Let i = -2.1 - -11.1. Let n = -19 + 31. Let v = n - i. Which is the smallest value? (a) -3 (b) v (c) 1 a Suppose 0 = -3*a + 3*h - 9, -15 = a + h - 6*h. Let k = 7 - 7.3. Let r = k - 0.7. What is the smallest value in a, r, -0.3? r Let x = 5 - 7. Let y = x + 5/3. Let d = 66 + -66.2. Which is the smallest value? (a) d (b) -5 (c) y b Let f = -170 + 170.7. Let y = -0.4 - -0.7. Which is the second smallest value? (a) f (b) y (c) 5 a Let f = 0.032 - -0.208. Which is the third biggest value? (a) 5 (b) f (c) 1/2 b Let g = -1.17 + 0.47. What is the smallest value in 4, -3, -5, g? -5 Let q = -15 - -15.1. What is the second biggest value in q, 1/4, 0.5? 1/4 Let v = -3.6 + 4. Let m = 23 - 8. Let u = m + -13. What is the second biggest value in v, -4, u? v Let c be (-5)/25*2/(-2). Let p = 4 - 4. Let v be p/1 + 1/3. What is the biggest value in 0.1, c, v? v Let p = -63.99 + 64. What is the second smallest value in 0.1, p, 0.3? 0.1 Let x = -0.4 - 0.1. Let l = -4.074 - -0.074. What is the third biggest value in x, 0.4, l? l Let i be 3*(-1)/((-12)/16). Let r be (-3 - 1/2) + i. Which is the second biggest value? (a) 0.2 (b) r (c) 2 b Let d = -4.02 + 0.02. Let o = 0 + d. Which is the third smallest value? (a) 2/9 (b) o (c) -3 a Let o be ((-14)/224)/((-1)/6). What is the smallest value in 4/7, o, 2? o Let s be (-11)/(-28) - (-2)/(-14). Which is the third biggest value? (a) 4 (b) s (c) -2 c Let d be ((-12)/108)/((-4)/18). What is the third smallest value in -2, 1/3, d? d Suppose 5*k - 2 + 17 = 0. Let m be (-2)/4*2 + k. Let s be -4*((-2)/12 + 0). Which is the second smallest value? (a) 0 (b) s (c) m a Let j = 2.93 - -0.07. Let c be 34/221 - -2*41/(-26). Let h be (0 + 1/(-1))/2. What is the smallest value in h, c, j? c Let g be (1/(-2) - 0)*-10
{ "pile_set_name": "DM Mathematics" }
= 2*v**2. Give q(c(o)). 159048*o**4 Let t(o) = 8*o**2 - 5*o. Let d(b) = 7*b**2 - 4*b. Let f(q) = -5*d(q) + 4*t(q). Let g(h) = h. Give g(f(a)). -3*a**2 Suppose -2*q + 13 = 4*v - 9, 0 = -5*v + 25. Let a(z) be the first derivative of 0*z + 0*z**2 + q - 1/3*z**3. Let l(d) = 2*d**2. What is a(l(i))? -4*i**4 Let n(f) = 4*f. Let c be 1/5 + (-22)/(-165). Let k(u) be the second derivative of -2*u + 0*u**2 - c*u**3 + 0. Determine n(k(i)). -8*i Let m(k) = 3*k. Let g(b) = 0 - 7*b**2 - 5 - 4*b**2. Let y(c) = 5*c**2 + 2. Let f(z) = 2*g(z) + 5*y(z). What is m(f(t))? 9*t**2 Let h(y) = y**2. Let s(d) be the first derivative of -5*d**2 + d - 34. What is h(s(b))? 100*b**2 - 20*b + 1 Let j(c) = 2*c. Suppose -4*x - x = 5*r - 25, -2*r + x + 7 = 0. Let g(m) = r*m - 3*m - 3*m. Give g(j(l)). -4*l Let o(i) = 3*i**2. Suppose 9*t + 3*t = 0. Let l(c) be the second derivative of t*c**3 + 1/6*c**4 + 0*c**2 + 0 - c. Calculate o(l(a)). 12*a**4 Let k(q) = 0*q**2 - q - 5*q - q**2 + 6*q. Let p(g) be the first derivative of -g**2 + 1. Determine k(p(t)). -4*t**2 Suppose 0 = 5*t - 4*t. Let i(n) = -7*n + t*n + 8*n + 0*n. Let w(f) = 12*f. Give i(w(s)). 12*s Let t(w) = 2*w + 2*w - 5*w - 2*w. Let o(q) = 2*q**2. Determine o(t(i)). 18*i**2 Let x(q) = -495*q. Let a(o) = 2*o**2. What is x(a(p))? -990*p**2 Let n(v) be the first derivative of v**6/360 - 2*v**3/3 - 2. Let z(i) be the third derivative of n(i). Let l(r) = -r. Give l(z(s)). -s**2 Let c(x) = -x**2. Let g(m) be the third derivative of 0*m**3 + 0 - 1/8*m**4 + 0*m - m**2. Give c(g(k)). -9*k**2 Let f(u) = 2*u**2 + 30*u. Let i(x) = -2*x**2. Calculate i(f(v)). -8*v**4 - 240*v**3 - 1800*v**2 Let v(c) = 2*c. Let x(y) = 6*y**2 + 4*y - 4. Let l(o) be the first derivative of 11*o**3/3 + 7*o**2/2 - 7*o + 4. Let k(r) = 4*l(r) - 7*x(r). Determine v(k(w)). 4*w**2 Let t(o) be the third derivative of o**5/30 + 5*o**2. Let v(w) = 9*w. What is t(v(n))? 162*n**2 Let l(b) = 3*b - 2*b**2 + 4*b**2 - b. Let u(o) = o. Let z(y) = -l(y) + 2*u(y). Let s(t) be the first derivative of -t**2 + 1. Calculate z(s(f)). -8*f**2 Let v(h) be the third derivative of -h**4/8 - 5*h**2. Let k(s) = s. Determine v(k(w)). -3*w Let g(l) = l. Let a(q) be the third derivative of q**6/720 + q**4/8 + 3*q**2. Let k(v) be the second derivative of a(v). What is g(k(p))? p Let x(w) be the second derivative of -w**6/360 - w**3/2 - 7*w. Let d(k) be the second derivative of x(k). Let b(a) = 3*a. Calculate b(d(r)). -3*r**2 Let y(r) = -24*r**2 + 13. Let d(p) = 2*p. Determine d(y(g)). -48*g**2 + 26 Let z(p) = -29*p + 2. Let q(x) = -5*x. Give q(z(a)). 145*a - 10 Let u(g) = 5*g**2. Let m(k) be the first derivative of -k**6/180 + k**3 - 5. Let n(s) be the third derivative of m(s). Give u(n(o)). 20*o**4 Let o(a) = 8*a - 14. Let s(x) = 4*x - 8. Let p(k) = 4*o(k) - 7*s(k). Let j(q) = -6*q**2. Give j(p(y)). -96*y**2 Let n(o) = -o - 1. Let d(c) = -6*c - 5. Let j(b) = -d(b) + 5*n(b). Let x(p) = -26*p. Determine x(j(k)). -26*k Let x(d) = d. Let m(c) = -4*c - 9. Let v(g) be the second derivative of -g**3/6 - g**2 + 2*g. Let u(z) = -4*m(z) + 18*v(z). Give u(x(f)). -2*f Let x(j) = -j - 23. Let w(l) = 2*l. Calculate x(w(i)). -2*i - 23 Let v(d) = 3*d. Let z(s) = s**3 - 3*s**2 + s. Let n be z(3). Suppose -f = n*c - 8*c + 7, 3 = -3*c + 3*f. Let t(l) = 7 - 7 - c*l. What is t(v(q))? -6*q Let o(u) = 58*u. Let b(j) = -5*j. Determine b(o(r)). -290*r Let g(t) = 3*t**2 + 4*t. Let p(i) = 2*i**2 + 3*i. Let a(l) = 3*g(l) - 4*p(l). Let q(n) = 3*n**2. Give q(a(z)). 3*z**4 Let s(z) = -z. Let o(k) = -29*k - 184. Give o(s(f)). 29*f - 184 Let l = 4 - 2. Let w(d) = -2 + 0*d - 2*d + l. Let h(o) = -4*o**2. Give w(h(q)). 8*q**2 Let r(u) = u**2. Let m(i) be the second derivative of i**6/360 - 2*i**3/3 + 2*i. Let o(c) be the second derivative of m(c). Calculate o(r(l)). l**4 Let a(t) = 4*t - 3. Let y(u) = -5*u + 4. Let n(m) = -4*a(m) - 3*y(m). Let q(d) be the third derivative of -d**5/10 - 7*d**2. What is n(q(z))? 6*z**2 Let s(k) = 20*k**2. Let d(y) = -4*y**2. What is d(s(w))? -1600*w**4 Let b(y) = 2*y. Let v(t) be the second derivative of t**6/360 + 2*t**3/3 - 2*t. Let i(u) be the second derivative of v(u). Calculate b(i(c)). 2*c**2 Let c(i) = i. Let m(s) be the third derivative of 3*s**2 + 0*s**3 + 0 - 1/12*s**4 + 0*s. What is m(c(x))? -2*x Let b(a) = 5*a + 6. Let h(k) = -70*k - 85. Let u(v) = -85*b(v) - 6*h(v). Let y(f) = 3*f**2. What is u(y(s))? -15*s**2 Let q(k) = 300*k**2 - 1. Let h(j) = -6*j. Determine q(h(y)). 10800*y**2 - 1 Let h(x) = 2*x**2. Let y(b) = -53*b. What is y(h(q))? -106*q**2 Let z(t) = t**2. Suppose -3*w - l + 3 = 0, 2*w - 3*l - 13 + 0 = 0. Suppose g - 3*p + 12 = 0, 4*g - 2*p = 8*g - 22. Let y(n) = -2*n + g*n - w*n. Give z(y(f)). f**2 Let v(q) be the second derivative of -8*q**3/3 - 13*q. Let g(r) = r**2. Calculate v(g(o)). -16*o**2 Let w(x) = -3*x**2. Suppose 3*o = 75 + 30. Suppose 4*p + 2*v - 2 = -0*p, 5*p - o = 4*v. Let n(t) = -p*t**2 + 3*t**2 - t**2. Calculate w(n(l)). -3*l**4 Suppose h + 3*z + 8 = 3*h, -4*h = -5*z - 16. Let x(w) = -2 - h*w + 2 + w. Let i(n) = -4*n**2. Give i(x(a)). -36*a**2 Let t(z) = 16*z**2. Let g(a) = -5*a**2. Let i(h) = -11*g(h) - 4*t(h). Suppose 4*r - 18 = -6. Let p(v) = -r*v + 5*v + 0*v. Determine i(p(w)). -36*w**2 Let d(q) = -5*q. Suppose 0 = 4*t + n - 15, 0*n = -2*t - 2*n. Let g(u) = -t*u + 5*u + 3*u. What is d(g(o))? -15*o Let u(v) = -2*v. Let j(y) = -6*y**2 - 2*y + 2. Let o be j(-2). Let x be 1/3 - 30/o. Let q(b) = 5*b - x*b - 5*b. What is q(u(g))? 4*g Let i(d) = d. Let f(y) be the first derivative of 19*y**3/3 - 28. What is i(f(l))? 19*l**2 Let g(d) = 2*d + 4. Let n(c) = -3*c**2. What is g(n(y))? -6*y**2 + 4 Let b(z) be the second derivative of z**5/30 - 4*z**2 + 5*z. Let y(v) be the first derivative of b(v). Let m(u) = -6*u**2. What is y(m(w))? 72*w**4 Let u(t) = 2*t**2. Let y(v) = -71 + 71 - v**2. Determine y(u(a)). -4*a**4 Suppose 0 = -3*m - 2*m + 20. Let c(s) = 2*s - 2*s + 5*s**2 - m*s**2. Let o(n) = 2*n. Determine c(o(r)). 4*r**2 Let s(h) = -2*h**2. Let j(w) = 42*w**2. Give j(s(i)). 168*i**4 Let j(a) = -a. Let q(g) = -173*g + 9. Let o(x) = -43*x + 2. Let y(t) = -9*o(t) + 2*q(t). What is y(j(c))? -41*c Let v(a) = 6*a. Let u(x) = 15*x**2 + 252 - 127 - 125. Determine u(v(j)). 540*j**2 Let m(k) = -k - 37. Let z(g) = 11*g. Give m(z(w)). -11*w - 37 Let v(f) = 29*f**2. Let q(t) = 101 - t - 101. Give v(q(b)). 29*b**2 Let a(n) = -2*n. Let x(o) be the second derivative of -1/12*o**4 + 1/2*o**2 + 0 - 2*o + 0*o**3. Let y(f) be the first derivative of x(f). Calculate a(y(g)). 4*g Let n(u) = 5*u**2. Let r(y) = -2*y**2 - 5*y - 5. Let d(c) = c**2 + 2*c + 2. Let i(a) = -5*d(a) - 2*r(a). Give i(n(h)). -25*h**4 Let j(g) = -6*g. Let n(v) = 268*v. Give j(n(f)). -1608*f Let j(p) = p**2 - 2*p - 5. Let c be j(4). Let s(x) = -x + 2*x + c*x. Let y(n) be the third derivative of -n**4/24 - 2*n**2. Give y(s(v)). -4*v Let v(n) be the third derivative of n**6/90 - 5*n**3/6 + 5*n**2. Let y(x) be the first derivative of v(x). Let h(i) = 3*i**2. What is y(h(k))? 36*k**4 Let c(y) = 18*y. Let f(b) = -6*b**2 + 2. Give c(f(a)). -108*a**2 + 36 Let b(l) = 5*l. Let o(h) = -5*h**2 - 7. Let d(p) = -2*p**2 - 3. Let a(n) = -7*d(n) + 3*o(n). Give a(b(m)). -25*m**2 Let v be 1*-5 - (-4 - -2). Let l(t) = 2. Let a(s) = 2 + s - 2 + 6 - 3. Let z(n) = v*l(n) + 2*a(n). Let x(u) = -u**2. What is z(x(k))? -2*k**2 Let y(f) be the third derivative of -5*f**4/8 + 2*f**2. Let a(b) = -b**2. Calculate y(a(q)). 15*q**2 Let h(a) = 3*a**2 - 12. Let r(f) = -1. Let q(n) = -h(n) + 12*r(n). Let m(j) = j - 5*j + 6*j + j. Determine m(q(u)). -9*u**2 Let w(j) = -760*j. Let h(k) = 2*k**2. Give w(h(l)). -1520*l**2 Let r(c) be the first derivative of -3*c**2/2 + 1. Let x(p) = 21 + 2*p - 21. Determine x(r(a)). -6*a Let g(v) = -9*v**2. Let p(b) = b - 4*b**2 - b. Let k(y) = -6*g(y) + 14*p(y). Let x(s) = -s. What is x(k(a))? 2*a**2 Let a(g) = -2*g**2 - 33*g. Let k(r) = r. Give a(k(m)). -2*m**2 - 33*m Let n(p) be the second derivative of p**3/3 - p. Let x(l) be the first derivative of -1 + 0*l**2 + 0*l - 2/3*l**3. Give n(x(s)). -4*s**2 Let a(b) = -9*b - 14. Let d(y) = 2*y**2. What is d(a(u))? 162*u**2 + 504*u + 392 Let u(w) be the second derivative of -3*w + 0 + 0*w**2 - 1/6*w**3. Let i(y) = 6*y**2. What is u(i(z))? -6*z**2 Let q(f) = f**2. Le
{ "pile_set_name": "DM Mathematics" }
(-2)/(u**(-14)/u)))**(-1/58) assuming u is positive. u**(79/406) Simplify (((g/(g*(g*g**32)/g)*g*g**(1/9))**(5/8))**(-2/3))**(-37) assuming g is positive. g**(-25715/54) Simplify (n**(-8/3)*n**(-2/13))/((n*n**(-18))/(n/n**(21/5))) assuming n is positive. n**(2141/195) Simplify ((p/(p/p**(-1/2)*p))/(p/(p*p*(p*p**3)/p))*(p**0)**47)/((p**(1/4))**(-49))**(-25) assuming p is positive. p**(-1215/4) Simplify (((z*z**4*z*z)/z*z*z*z*z**(-1/9))/(z/z**(2/7))**44)/((z**(-3/2)/z)/(z**(7/2)*z*z)*(z/z**(-1))**(-34)) assuming z is positive. z**(3368/63) Simplify (((r**(-3/5)*r)/r)**(-2/9))**(-1/4)*(r**(-1/3)*r**3*r)/((r**5*r*r)/r**(1/4)) assuming r is positive. r**(-187/60) Simplify ((z**(-5)/z*z*z**7*(z/((z**(-7)/z)/z))/z*z/((z*(z/z**(-3)*z)/z*z)/z))**21)**(-13) assuming z is positive. z**(-1911) Simplify i*(i*i*i/i**(20/11)*i)/i*i*i**(-32)*(i*i/(i/i**(32/7))*i)/i**(4/7) assuming i is positive. i**(-251/11) Simplify ((w**(-1))**(-43))**46/((w/(w**(-1)/w))**(-4/23)*(w**1*w)**11) assuming w is positive. w**(45000/23) Simplify ((d**(1/4)/d)/d)**(-2)*(d**0)**(-48)*(d*d**(2/5)*d**(2/17))/((d*d**(-6))/((d**(-6/7)*d)/d)) assuming d is positive. d**(10901/1190) Simplify ((r*r**(1/25)/r*r)/(r*r/(r/(r*(r*r**(29/4)*r)/r)*r)))/(r**41*r*r**(-1/5)) assuming r is positive. r**(-5001/100) Simplify (r*(r**(-7)/r)/r*r*r/((r*r*((r/(r**(4/7)/r))/r)/r)/r)*r**0*r**1)/((r**(-2/3)/r*r)**39*r**(-2/29)/(r*r**(-1))) assuming r is positive. r**(4190/203) Simplify ((h/(h*h**(-1)*h))/h)**(2/163)/(h*h**2*h)**(-4/13)*(h**(2/37)*h*h**(-2/9)/h)**(7/3) assuming h is positive. h**(1748770/2116881) Simplify (((m**1)**(4/5)/((m*m*m/m**(1/2))/m)**(-15))**7)**(36/5) assuming m is positive. m**(29358/25) Simplify (w**(-1)*w)**(19/3)*(w**1/w)**(-5/11)*(w/(w/w**3*w)*w**(-2)*w)/(w*w**(1/3))**19 assuming w is positive. w**(-73/3) Simplify i**(-7)*i*i**(2/9)*(i**(-2/7))**2*((i*(i/(i*i**(-11)*i))/i)/(i/(i*i*i*i/(i/i**(2/31))*i*i)*i))**(8/7) assuming i is positive. i**(16760/1953) Simplify v/(v**(-1/5)/v)*v**3*(v*v/v**(1/2))**(-14/5)*(v**(-2/7))**23/((v*v/(v/v**(2/3)*v))/(v/v**(2/21))) assuming v is positive. v**(-16/3) Simplify ((n/(n/((n**(-1)/n)/n)*n)*n*n)**(-1/5))**(7/4)*(n/n**5*n**(-1/3)*n)**(-49) assuming n is positive. n**(4921/30) Simplify (o*(o*o**6)/o*o**(2/13))**(-3)/(o**(-5)*o*o*(o*o*o/(o/(o*o/o**(3/2)))*o)/o*o*o)**(-2) assuming o is positive. o**(-240/13) Simplify (m**(2/19)/m*m**(-2/29))**(-1/50)/((m**(-1/5)/m)**(-10)/(m*m/(m**(2/3)*m))**(3/7)) assuming m is positive. m**(-2282933/192850) Simplify ((((i**1)**(-50))**(5/14))**(-20))**(2/45) assuming i is positive. i**(1000/63) Simplify ((g*g*g**0)**(2/9)*g**4/g**(-5))/(g/(g/g**(-6))*g**0*(g/(g/g**(2/17)))/g**(-3)) assuming g is positive. g**(1886/153) Simplify (((((q**(2/9)*q*q)/q)**(-9/7))**(-6/11))**(2/7))**(-2/41) assuming q is positive. q**(-24/2009) Simplify (((b*b**(9/4)/b)/(b**(-4)/b*b)*(b*b**(-1/3)/b*b)/(((b**(-10)/b)/b)/b))**(-1/10))**(6/5) assuming b is positive. b**(-239/100) Simplify (((g**(-10)*g**3*g)/(g**0)**46)**(20/7))**(-38) assuming g is positive. g**(4560/7) Simplify ((l*l*l**(-2))/l**1)**(4/9)*((l**(2/7)*l)**16)**(2/13) assuming l is positive. l**(2228/819) Simplify (b**(-10/7)/(b*b**1*b)*b**(-2/9)/(b**(-1/12)*b))**(-4/17) assuming b is positive. b**(1403/1071) Simplify ((z**(2/5))**(-16/5)*z**9/(z*z/(z*z*z*z/(z*z**3/z)*z*z*z*z)))/(((z*z**(3/8))/z**5)/((z*z**(-4)/z)/(z/z**(3/2)))) assuming z is positive. z**(2169/200) Simplify ((w*(((w/(w/((w*w**(-2/3))/w)))/w)/w)/w)**3)**(-13/2)*((((w/w**(-3/5))/w*w)/w)**15)**38 assuming w is positive. w**394 Simplify ((b/b**(1/3)*b**0*b)/(b**3*b**(4/7)))/(((b/(b*b**0*b))/b)/(b*b*b*b**(3/4))*b/(b*b**(-2/29))*b/(b*b**(-5/3)/b)) assuming b is positive. b**(901/812) Simplify (x**2)**(-3/10)*x**(-7)/x*x*x**(4/3)*x*(((x/(x/x**(-3/2)*x))/x)/x*x)/x**0*x/((x*x**(-6)*x)/x)*x**(3/7) assuming x is positive. x**(-491/210) Simplify ((s**(2/5))**50)**(-23)*(s*(s/(s**(1/13)/s))/s*s)/(s*(s**(2/5)/s)/s)*(s*s**(1/3))**(-19/3) assuming s is positive. s**(-271979/585) Simplify ((x*x**(-1/5)/x)**(29/4))**(-5/4)*(x**1)**(-13/3)/(x**(2/5))**25 assuming x is positive. x**(-601/48) Simplify (f**(-3/5)*f**(-3/5))**7*(f**(3/7)/f*f*f*f**12/f)**(-14) assuming f is positive. f**(-912/5) Simplify (((x**(2/5)/x)/x)**(-12/13))**47*(x**8*x**(-1/2)*x)**(3/10) assuming x is positive. x**(18711/260) Simplify (t**4*t*t**1/t)/(t*t/(t**(-7)*t)*(t/(t/t**4))/t*t*t)*((t/t**(2/11))/t**(1/3))**(-2) assuming t is positive. t**(-296/33) Simplify (d/d**(-25/3))**15*d**(-39)/(d*d*d/(d/d**24)) assuming d is positive. d**75 Simplify (((k**(2/3))**(-2/79)*((k**(-3)/k)/k*k)**(3/8))**(2/13))**(-14/11) assuming k is positive. k**(10066/33891) Simplify ((r/(r**8/r))/r)/(r/(r**(-7)/r))*(r**(-1)/r)**50*((r**(2/5))**(11/2))**(-4/7) assuming r is positive. r**(-4104/35) Simplify ((v**2/v*v**(1/3)/v*(v*v**(-2/5)*v)**(1/6))**(1/12))**29 assuming v is positive. v**(29/20) Simplify ((h**(2/15)/h)/(h/h**6))**(-2)/((h/(h**1/h))**36/(h**0*h*h)**11) assuming h is positive. h**(-334/15) Simplify (((d/(d*d*d/(d/d**18)))/((d/((d/d**3)/d))/d))/(d*d*d*d**(-12)*d*d**(-1/22)/d))**(6/25) assuming d is positive. d**(-171/55) Simplify ((k*(((k/(((k**(1/4)*k)/k)/k))/k*k)/k)/k*k)/k**(3/7)*((k**(-2)*k*k)/k)/k**(-2/7))/((k*k**(-1)*k)**26)**(-2/87) assuming k is positive. k**(2935/2436) Simplify (b**(2/7)*b)**(-36)*(b/(b**(1/2)*b)*b)**(-44)*((b/b**(-2/11))/((b/(b*b**(-2/5)*b))/b))/(b*b*(b/b**(-2/27))/b*b**9) assuming b is positive. b**(-796028/10395) Simplify (((l/(l/((l/(l/(l**(-2/3)*l*l))*l)/l))*l)**27/((l*l**3)/l**(-4)))**(-19))**(-4/9) assuming l is positive. l**(4180/9) Simplify (p**(-5/4)/(p/(p**2*p)*p))**(5/13)/(p**(-1)*p*p*p/((p**(7/3)/p)/p)*p**(-7)/(p**(1/7)*p)) assuming p is positive. p**(6967/1092) Simplify ((z**5)**(-29)*z/(z*z*z**(-1/8))*z**(1/24))**(-24) assuming z is positive. z**3500 Simplify (r*r/r**(4/9))/((r/((r**(-3/8)*r)/r))/r)*(r**0)**(-2/21)*(r/(r*r/(r*r**(-2/7)/r)*r)*r**4/r)/(r**(2/13)*r**(-1/2)) assuming r is positive. r**(14683/6552) Simplify (((k**(-2/5))**38*(k/k**(-1/5))/k*k**(2/13))**(-4/7))**(9/7) assuming k is positive. k**(6948/637) Simplify ((q**(-3/8)/q*q**16/q)/(q**(5/2)*q/(q/((q*q**21)/q))))**(-4/5) assuming q is positive. q**(79/10) Simplify ((w**6*w)/w**(-3/4)*w**(-4)/(w**2/w))/((w**(-2))**19)**(2/33) assuming w is positive. w**(667/132) Simplify m*m**(-1)*m**5*m**(-2/5)*m**(-1/2)*(m**0*m)**18/(m**(-2/7)*m**(-1)) assuming m is positive. m**(1637/70) Simplify (b/b**(-1/5)*b*b**6)**(-45)*((b**0/b)/b)/(b/(b*b**(-5/3)*b))*b**6*b**7 assuming b is positive. b**(-1076/3) Simplify (((c/c**(-4/3)*c)/c*c**(-1))**(2/59))**(-44) assuming c is positive. c**(-352/177) Simplify (v**(-1/38)*v*v**(-18/13))/(v*v**(-1/6)*v**(-41)*v) assuming v is positive. v**(28718/741) Simplify (s**2/s*s**2)**(-9/8)/((s/(s*s**6*s))/(s/(s/((s**0*s*s*s)/s)))*(s/(s/s**(3/4)*s))/s**3) assuming s is positive. s**(71/8) Simplify (h**(2/11))**(-1/39)*(h**(-10)/h)/((h/h**(-2/21))/h) assuming h is positive. h**(-11111/1001) Simplify ((x**(3/7)*x)**(-43)/(x*x**(1/3)*x**11*x))**(-38) assuming x is positive. x**(59660/21) Simplify ((x**(-1/7)/x)/x)/x**(-19/5)*(x*x**(-4/5))/((x*x/((x*x**(-1/13))/x))/x) assuming x is positive. x**(71/91) Simplify (m**(-12/17)*m*m)**(14/5)/(m**(33/2))**14 assuming m is positive. m**(-19327/85) Simplify (((k**(-1)/k**(-2/3))/(k**2*k**5*k))**(2/79))**(1/16) assuming k is positive. k**(-25/1896) Simplify (c**(-4)/(c/c**(-5/4)))**(-22)*c**6*c*c**(-6)*c*((((c/((c/(c/(c**(-1)*c)))/c))/c)/c*c*c)/c*c)/(c/(c/(c*(c/(c**(-5)/c))/c*c))) assuming c is positive. c**(267/2) Simplify (t/t**(1/10)*t**(4/13)*t/t**(28/5)*t**19/t)**3 assuming t is positive. t**(5697/130) Simplify ((w/(w/w**(-1/11))*w*w**2)/((((w**(-3/8)*w)/w)/w)/(w*w**(-5)/w*w)))**(-3/10) assuming w is positive. w**(-15/176) Simplify ((k**4)**(29/4))**(-47)*(k**(-6)/(k*k*k**(-3)*k*k*k))**15 assuming k is positive. k**(-1483) Simplify (m*m**4*(m/(m/m**(-1)))/m)/((m/(m*m**(-3/11)))/m*m**5*m)*(m**(2/5)/(m/(m**(-7)*m)))/(m**(1/4))**(11/3) assuming m is positive. m**(-6461/660) Simplify ((i/((i**(-2/17)/i)/i*i))/i**5)/(i/i**1)**(-2/9)*((i*i**(1/4))/(i/(i/i**(2/7))))/(i**(2/3)/i*i**(-2/7)) assuming i is positive. i**(-265/204) Simplify (a*a**(-7)*(a*a/(a/a**3)*a)/a)**(10/7)*(a/(a**4*a))/(a**3*a)*a**
{ "pile_set_name": "DM Mathematics" }
.5? 0.095 What is the nearest to 0.2 in 0.08, 0.3, 3715, 3/5? 0.3 What is the closest to 0.04 in -5, 2/5, 0.1, -0.4, 11, -15.07? 0.1 What is the nearest to -1/474 in 25051, 4, -0.5, 0.2? 0.2 What is the nearest to -0.3 in 3, -9.27, 7/762? 7/762 Which is the nearest to 2/3? (a) 10.553 (b) 1/3 (c) -2/11 (d) 2/13 (e) -2.32 b What is the closest to 2/5 in 0, 0.13, 2/3, 3/16, -4/5? 3/16 Which is the closest to 3? (a) -3 (b) 0.09 (c) 872/9 (d) 1 d What is the closest to 2099 in 4, 3/5, 1, -2, 142, 3? 142 Which is the nearest to 1672? (a) 3/4 (b) 1/13 (c) 3/20 a Which is the nearest to -2/397? (a) 4 (b) -1/4 (c) 2/47 c What is the nearest to 0.1 in -40, 4.3, 4/9, 3, -4? 4/9 What is the nearest to 17 in 1/3, 0.4, 7, 14.74? 14.74 What is the closest to 0.2 in 1/9, -2/5, -0.06, 2/3, -60? 1/9 What is the nearest to 3/8 in 1, -1/3, -0.5, -2.791, -4? 1 What is the nearest to 1/3 in -26, 3765, -3/7, 0? 0 Which is the closest to 0.062? (a) 238 (b) -1 (c) 1/4 (d) -4 (e) -11 c What is the nearest to -389 in 6/7, 5, -606, -3/2? -606 What is the closest to 0.1 in -3/5, 0.0516, -115, -5, 53? 0.0516 Which is the nearest to -0.038? (a) -180991 (b) 6 (c) 0.2 c What is the closest to 1/6 in -47/7, 6/13, 0.02? 0.02 What is the closest to 8626 in -2/11, -9, 1.8? 1.8 Which is the nearest to 1? (a) 2.7 (b) -26 (c) -94.7 (d) -3/4 a What is the nearest to -0.004 in 0.2, -5, 4/13, -0.08? -0.08 What is the closest to -10 in -1/2, -0.2, -20083, 4? -1/2 What is the nearest to -10 in 2/15, -3, 2, 19, 8? -3 What is the closest to 2/17 in 2/9, -25, -0.02, -3/2, -1/5, 42.76? 2/9 What is the closest to -1 in -31/6, -0.5, 65, -0.0243, -2/5? -0.5 What is the nearest to 0 in 0, 1, -2/9, -4/663, -2/37? 0 What is the nearest to -2432 in -2/11, 9, 2.3, 16, 2/5, 5? -2/11 Which is the nearest to 0.6? (a) -35 (b) 4 (c) 1 (d) -2.012 c Which is the nearest to 329925? (a) -5 (b) 4 (c) 13/4 (d) 0.5 b What is the nearest to 1 in -99, 43, -6.98? -6.98 What is the closest to -60 in 3/2, 2/7, 2/11, 1, 1039? 2/11 Which is the nearest to 1? (a) 91 (b) 518 (c) 97 a Which is the closest to 0.1? (a) 2 (b) 0 (c) 1/11 (d) 195 (e) -3 c Which is the nearest to 0.04? (a) 7 (b) -0.3 (c) 13.5 (d) 66/5 b Which is the closest to 0? (a) 3 (b) 2 (c) -1867/6 (d) 0.25 (e) -5 d What is the nearest to -0.1 in -5, -199, 16, -0.64? -0.64 Which is the closest to 0.41? (a) 4.3 (b) -0.3 (c) -2/7 (d) -78.8 c Which is the nearest to -93? (a) 6/7 (b) 6/1471 (c) -2 c Which is the closest to -20? (a) 0.3 (b) -2/9 (c) 6/7 b What is the nearest to -0.02 in 32, -6, -21, 7/4? 7/4 What is the nearest to 5 in 8/3, -2/1277, -13.7? 8/3 Which is the nearest to 9? (a) -8/15 (b) 1.2 (c) -0.5 (d) 4 d Which is the closest to 6? (a) -1/5 (b) 0 (c) 1 (d) -1/6 (e) 79532 c Which is the nearest to 4/19? (a) -1 (b) -2 (c) -39 (d) 103 a Which is the nearest to 1166413? (a) 1/3 (b) -1 (c) -2/19 a Which is the closest to -0.1? (a) 4 (b) -0.45 (c) -3/22 (d) 0.4 (e) -23 c What is the closest to 0 in 5, 34, 10, 15, 2/11? 2/11 What is the nearest to 2/1835 in -1/7, 3, -31, -0.03, -0.6? -0.03 What is the closest to 154 in -2, 2/8717, -6, -12? 2/8717 What is the closest to 27 in -0.076, 0.028, 3, 2/13, 5/8? 3 Which is the nearest to -2? (a) -6/1619 (b) 0 (c) 2/5 (d) -3 d Which is the closest to 0.1? (a) -11 (b) 3/5 (c) -1/201 (d) -0.1 (e) -4 c Which is the closest to 4308? (a) -193 (b) 1 (c) 5 (d) -3 c Which is the closest to 29? (a) -3/7 (b) 23 (c) 0 (d) 5 (e) 4/25 (f) 7/2 b Which is the closest to -1? (a) 0.2 (b) -5/6 (c) 0.4 (d) 48 (e) -0.05 b Which is the closest to -0.1? (a) 0.1 (b) -0.2 (c) -1378/939 b Which is the closest to 11? (a) -255 (b) -0.3 (c) 1.3 (d) -3.6 c Which is the nearest to 161? (a) 1443/23 (b) -12 (c) -2/5 a Which is the closest to -1? (a) 3 (b) -49 (c) 0.5 (d) 5.3 (e) -300/7 c What is the closest to -4 in -1174/3, 0, -20? 0 Which is the closest to -27? (a) 0 (b) 750707 (c) -2 c Which is the closest to 15? (a) 4 (b) 837 (c) -0.09 (d) 5 (e) 1 d Which is the closest to 8? (a) 0.05 (b) 1/4 (c) -0.17 (d) -0.2 (e) -27 b Which is the nearest to -2/13? (a) -0.3 (b) 2/215 (c) 1 (d) 158 (e) -3 a What is the closest to 2 in 0, -46, -87/2? 0 Which is the closest to -30? (a) 0 (b) -0.5 (c) -267 b Which is the closest to -2? (a) 566 (b) 1/4 (c) 7/2 (d) -3/40 d What is the nearest to 0.515 in -1, 2, -0.5, -1/4, 17/7? -1/4 What is the closest to 36.9 in -1.643, 1/6, -0.5? 1/6 Which is the nearest to -1? (a) 26 (b) 93 (c) -0.021 c What is the nearest to 5/19 in 5, 2/67, -0.4, -0.06? 2/67 What is the closest to -5/3 in -6, -4, -18, -3, -2? -2 What is the closest to 260 in -2/23, -2, -198, -0.4? -2/23 What is the closest to 101 in 4/3, 1/62, -0.2, -1/3, 2/3, -1/6? 4/3 Which is the nearest to 0? (a) 33 (b) -21/5 (c) 4 (d) -57 (e) -0.2 e What is the nearest to 0 in 5, 2005, -3/5, -0.088, 3? -0.088 What is the closest to -12.8 in 0.4, 3, -4, 4/5, 1.3, -2? -4 What is the nearest to -0.1 in 3/38, -1169, -1, -0.4? 3/38 What is the closest to -251 in -0.48, 0.3, -39/8? -39/8 What is the nearest to 1 in -28, 0.4, -5, 454/15, 0? 0.4 What is the closest to -1 in 13, -9.2, 5, 0.5, -53? 0.5 Which is the nearest to 28374? (a) -0.1 (b) -1 (c) -2/13 (d) 0.1 d Which is the nearest to -3/4? (a) -28/9 (b) -4 (c) -2 (d) -3/5 (e) -0.051 d What is the closest to 0.1 in 3, -0.1038, -6.5, -2? -0.1038 Which is the nearest to -14/47? (a) -3 (b) -9 (c) -38 (d) -2 d What is the closest to 2/133 in -83, -3, 77/6, 2, 0.2? 0.2 Which is the nearest to 0? (a) 3 (b) 2/7 (c) -4 (d) 2/3 (e) -2/6077 (f) -1/3 e What is the closest to 108 in 195, 1/4, -3.1, 3, -1/4? 195 What is the closest to -7/11 in 1, 0.2, 3/7, -0.0254? -0.0254 Which is the nearest to -11? (a) 3 (b) 0.1 (c) 4/593 (d) -1 (e) -1/4 d Which is the closest to -112.26? (a) -13 (b) -0.3 (c) -37 (d) 2/7 c Which is the nearest to 6594? (a) -2 (b) -2/61 (c) 2 c Which is the nearest to -41/5? (a) 2/21 (b) 25750 (c) 0.4 a Which is the nearest to 1? (a) -13.1 (b) 2 (c) -2/29 (d) 3 (e) 1 e What is the nearest to -19 in 2/9, -10815, -1/4, -16? -16 Which is the nearest to 0.1? (a) -0.2 (b) -28 (c) 0 (d) -0.01 (e) 84/17 c What is the nearest to 1/3 in 0.06, -4421, 36, -0.1, -2? 0.06 What is the nearest to -0.2 in -0.032922, -4, 4/5, -0.15? -0.15 Which is the closest to -5? (a) 388 (b) -1.1 (c) 5 (d) 3/5 (e) -4 e What is the nearest to 4/7 in 2206, -1/7, 2/305? 2/305 What is the nearest to -9 in 0.05955, 0.03, 5, 0.4? 0.03 What is the closest to 1 in 1/4, 1324026, -5, -0.5? 1/4 Which is the nearest to -1/2? (a) -0.5 (b) -34.778 (c) -3 (d) 2/3 (e) 5 a Which is the closest to -6? (a) -6 (b) 0.3 (c) 2 (d) 6 (e) 3/8 (f) 5.79 a Which is the closest to -1? (a) 2/119 (b) -34 (c) 34 (d) 0.5 a Which is the nearest to -106? (a) -1194 (b) 0.5 (c) -4 (d) 6 c What is the closest to 0.1 in -0.5, 626, 17.4, 1/9, 5, 0.3? 1/9 What is the closest to -0.06911 in 39, -0.5, -2/7, -4? -2/7 Which is the closest to -802? (a) 0.4 (b) -14 (c) -9722 b Which is the closest to 2894? (a) -4 (b) 323 (c) -1/6 (d) -3/13 b What is the closest to 0 in -3, 0, -0.06, 1.7842, -2? 0 Which is the closest to 0? (a) 37.3 (b) 1 (c) -8.6 (d) -6 b Which is the nearest to 0.1? (a) 1.89 (b) -5 (c) -24 (d) -92 a Which is the closest to 0.2? (a) -1/4 (b) -1/12359 (c) 5 (d) -35 b What is the closest to 2/3 in 5, -1/7, 4/145, 12/35? 12/35 What is the nearest to 0.1 in 8059, -1/4, 2, 2/41, 0.03? 2/41 What is the nearest to 0.6 in -17, 0.08, -176, 0.06? 0.08 What is the closest to -55 in 0.6, 0.1, 0.5, 2.9? 0.1 What is the nearest to -0.1 in -1.71, -0.67, -0.23, -10? -0.23 Which is the nearest to 0.7? (a) -2 (b) 2/5 (c) 3/7 (d) -321 (e) 63 (f) 0.02 c What is the nearest to -5 in -0.005, 4, 0.1, 5, -7? -7 What is the nearest to -18 in 3, 0.16, 0.1, 0.09, 1, 2/11? 0.09 Which is the nearest to 1? (a) 256.3 (b) 0.2 (c) 1.6 (d) -1/5 c What is the nearest to -72 in 0.2, 0.4, -0.4, 16, 15? -0.4 Which is the nearest to -8/3? (a) -0.3 (b) 2 (c) -3/4 (d) 22/7 (e) -3 e Which is the nearest to -11? (a) 0.4 (b) 0.01 (c) -172/9 (d) -12 d Wh
{ "pile_set_name": "DM Mathematics" }
Let j = -324.088511 + -0.708489. Let h = -300.78 - j. Let w = h - 24. What is w rounded to two decimal places? 0.02 Suppose -5*r = -4 - 6. Suppose r*t + 309340 = 6*t. Suppose 182663 + t = 5*j - x, 5*x = j - 51990. Round j to the nearest 10000. 50000 Let z = 0.007 - 0.00671. What is z rounded to 4 decimal places? 0.0003 Let d be 240*(-1 - (-17506)/6). Round d to the nearest 1000000. 1000000 Let k = 41 + -67. Let c = 25.945 + k. Let n = c + 0.0549938. What is n rounded to 6 decimal places? -0.000006 Let h(f) = -33*f - 12. Let t(v) = v**2 - 3*v - 4. Let w be t(5). Let d be h(w). What is d rounded to the nearest one hundred? -200 Suppose -4*b = -5 - 15, -4*b = -2*w + 316. Suppose -2*x = -4*x - w. Round x to the nearest 10. -80 Suppose -c + 14 = n - 4*n, -20 = -c + 5*n. Suppose w = 2*h + 2*h - 188, 0 = 5*h + c*w - 235. Let f be 1*(617*h - -1). Round f to the nearest ten thousand. 30000 Let o = -36 - -35.9999835. What is o rounded to 6 dps? -0.000017 Let a = -0.4 - 9. Let t = a - -9.40057. What is t rounded to four dps? 0.0006 Let a be 0/(-2 + 1/1). Let q be 2*3 + a - 1. Suppose -2023376 = q*o + 2976624. Round o to the nearest one million. -1000000 Let s = 20185.8649963 + -20191.665. Let m = 5.8 + s. Round m to six dps. -0.000004 Suppose 2 + 7 = 3*v. Suppose -5 - v = 4*g. Let p be (-15299994)/(-5 + 2) - g. Round p to the nearest one million. 5000000 Suppose -2*x + 0*x = -16400. Round x to the nearest 1000. 8000 Suppose x - 5*s + 49 = 0, -x - 3*s - 43 = -5*s. What is x rounded to the nearest ten? -40 Let u = -1850 + 2704. Let d = -980.9 + u. Let p = 138 + d. Round p to the nearest integer. 11 Let z(x) = -x + 4. Let l be z(0). Suppose -8300000 = -5*j + l*j. What is j rounded to the nearest one million? 8000000 Let y = -704 - -704.998. Let l = 0 + 1. Let k = l - y. What is k rounded to three decimal places? 0.002 Let f = 54.9364364 - -0.0497636. Let w = f + -55. Round w to three dps. -0.014 Let l = -2163 - -3612. Let r = l + -1443.256. Let v = r - 0.044. Round v to zero decimal places. 6 Suppose -4*o - 35932 = 3*a, 28152 - 10200 = -2*o + 2*a. What is o rounded to the nearest one thousand? -9000 Let j = -0.6599876 + 0.66. What is j rounded to 6 decimal places? 0.000012 Let z = 0.04722739 + 49070199.95277261. Let i = -49070159.9999915 + z. Let y = i + -40. Round y to 6 dps. 0.000009 Let z = -405537 + -182285. Let s = 1777822 + z. What is s rounded to the nearest one hundred thousand? 1200000 Let u = -3 - -5. Suppose -u*p - 4910 = -q - q, -5*p - q = 12245. Round p to the nearest 100. -2500 Let k = 19 + -18.999999. Round k to six decimal places. 0.000001 Let p = 30.3 - 29. Let i = p - -0.1. What is i rounded to one dp? 1.4 Suppose -1 = 2*y + 5*z, 5*y - 3*z + 10 = -8*z. Let o(s) = s**3 + 4*s + 3. Let d be o(y). Round d to the nearest 10. -40 Let m = -168523 + 37523. Round m to the nearest 10000. -130000 Suppose 0 = 4*j - 2 - 22. Suppose -5*b + 2*q + 0*q - j = 0, 3*q - 9 = -2*b. Let u(o) = o**2 - 700. Let l be u(b). Round l to the nearest 100. -700 Let r = -2719187348.99999937 - -2719187390. Let q = r - 41. What is q rounded to seven dps? 0.0000006 Let y be 0 + (-999999 - 2) + 1. What is y rounded to the nearest 1000000? -1000000 Let n = -7.168 - -7. What is n rounded to 2 decimal places? -0.17 Let y = -3099.6075 - -3087. Let h = 9.61 + y. Let r = -3 - h. What is r rounded to 3 dps? -0.003 Let h(m) = -m**3 + 26*m**2 - 17*m + 42. Let u be h(31). Round u to the nearest 1000. -5000 Let b be (-461016)/(-63) + 2/7. Let g = -3518 + b. What is g rounded to the nearest one thousand? 4000 Suppose 0 = 3*w + 4*z - 24, 5*w - 4*z - 81 = -9. Let d be (-3)/(-18) - 42002/w. What is d rounded to the nearest one thousand? -4000 Let w = 20757742658216.71 - 20758015581143.7099989. Let l = w - -272922946. Let k = l - 19. Round k to six decimal places. 0.000001 Suppose 6*j + 0*j + 164400000 = 0. What is j rounded to the nearest 1000000? -27000000 Let j(o) = -638*o**3 - 3*o**2 + 6*o + 7. Suppose 0 = -2*c + 5*d, -c - c = 4*d + 18. Let g be j(c). Let h = g - 19652. Round h to the nearest ten thousand. 60000 Let k = 4.14 - 4. What is k rounded to 1 decimal place? 0.1 Let p(z) = 184*z**3 + 7*z**2 - 26*z - 13. Let g be p(-7). What is g rounded to the nearest 10000? -60000 Let f = 57 - 56.9999946. What is f rounded to 6 dps? 0.000005 Let j = 13044678.00049 + -13044739. Let k = j + 61. Round k to 4 decimal places. 0.0005 Let a = -5.99 + 6. Let l = 0.012 - a. What is l rounded to 3 dps? 0.002 Let w(z) = -571*z**2 - 8*z + 2. Let y be w(-11). Let o be y/3 + (-3)/(-9). Round o to the nearest ten thousand. -20000 Let v be (3/(-1))/((-15)/10). Suppose -v*f + 2097 = -471. Suppose 2*k + f = -396. What is k rounded to the nearest 100? -800 Let s be ((-10)/6)/(4/(-18960)). Round s to the nearest one thousand. 8000 Let u = -26.8 - -35.33. Let l = -1.07 - u. Round l to 0 dps. -10 Let t = -5.199957 - -5.2. Round t to five dps. 0.00004 Let w = 0.04607 - 2.31707. Let a = w + 2.3. Let u = 1.491 + a. Round u to 1 dp. 1.5 Let h = 55.99999914 - 56. Round h to six decimal places. -0.000001 Suppose 0 = 6*d + 10069 + 25931. What is d rounded to the nearest one thousand? -6000 Let s = 23402664932.07822078846 - 0.07822078846. Let x = -23402664810.00000077 + s. Let b = 122 - x. What is b rounded to seven decimal places? 0.0000008 Let h = -56 - -82. Let v = h + -25.9966. Round v to three decimal places. 0.003 Let o = 9.9 - 9. Round o to 0 decimal places. 1 Let y = 2514119 + -4282574. Let j = y + 1008455. Round j to the nearest one hundred thousand. -800000 Let x = 2.4 + -1.3. Let s = -5013 + 5014.1036. Let b = x - s. What is b rounded to three decimal places? -0.004 Let p = -1.8 + 2. Let o = -0.7907 - -0.590715. Let u = p + o. What is u rounded to 5 dps? 0.00002 Let z = -16.24 + 2.54. Let u = z - -13.69999939. Round u to 7 dps. -0.0000006 Let g(j) = 43*j - 5. Let a(l) = -85*l + 10. Let i(z) = -6*a(z) - 15*g(z). Let d be i(9). What is d rounded to the nearest one hundred? -1200 Let r = -4.1235 - 39.8345. Let t = r + 44. Round t to two decimal places. 0.04 Suppose 72 = -4*g - 104. Round g to the nearest ten. -40 Let f be (450/8)/((-270)/(-48) - 6). Round f to the nearest 100. -200 Let k = -0.8 + 12.8. Let m = k + -12.014. What is m rounded to 3 decimal places? -0.014 Let q = -0.0164 - -0.01640201. What is q rounded to six decimal places? 0.000002 Let z = 1 - -3. Suppose 0 = -f + 2*m, -1 = -2*f + 5*m - z. Let j be (-2)/(-6) - 67200002/f. What is j rounded to the nearest one million? -11000000 Let t = 5.115 - 28671.115. Let j = t - -28550.23. Let b = 115 + j. Round b to one dp. -0.8 Let s be 144000 + (2 + -3)*-2. Let t be s/(-6) + (-1)/(-3). Round t to the nearest ten thousand. -20000 Let z = -40487 + 40531.874. Let h = z + -45. Let k = -0.1191 - h. What is k rounded to three dps? 0.007 Let s = 6 - 6. Let m = 13 - s. Let b = m + -13.022. Round b to 2 decimal places. -0.02 Suppose 0 = y - k + 14 - 6, 5*y = -4*k - 31. What is y rounded to the nearest integer? -7 Let s(v) = 27*v**2 - v + 11. Let u be s(-8). Let k = u + -4847. Round k to the nearest one thousand. -3000 Let f = -832.694339 + 806.6943. Let s = -26 - f. What is s rounded to five dps? 0.00004 Let i = -0.95 - 1.85. What is i rounded to 0 decimal places? -3 Let p = 137408477.94 + -137408553.94000113. Let r = -76 - p. Round r to seven decimal places. 0.0000011 Let n = -659 - -345. Let f = -124 - n. Suppose -w = -6*w + f. What is w rounded to the nearest ten? 40 Let p = 600 - 652.7. Let b = p - -50. Let s = b - -2.70055. What is s rounded to four decimal places? 0.0006 Let n(j) = -55*j + 9*j - j. Let w be n(1). What is w rounded to the nearest 10? -50 Let k(r) = 192*r + 8. Let c be k(26). Round c to the nearest 10000. 10000 Let d = 6663 - -36839. Let v = -157149 - -49647. Let k = d + v. Round k to the nearest ten thousand. -60000 Let l(g) = 5*g - 28*g**2 + g - 37*g**2 + 8 - 62*g**2. Let z be l(-6). Round z to the nearest one thousand. -5000 Let u = 112.093 + -112. Let o = u - 0.09. What is o rounded to two dps? 0 Suppose 3*t + 5*r + 638 = 0, 2*t + 2*r + 423 = r. Round t to the nearest 10. -210 Let b(h) be the second derivative of -395*h**4/3 + 2*h**3/3 + 2*h. Let p be b(-3). Let g = 1204232 + p. What is g rounded to the nearest one hundred thousand? 1200000
{ "pile_set_name": "DM Mathematics" }
-4, 18424/9, -15, -3? -3 What is the smallest value in 0.5, 334348386, -1/5? -1/5 Which is the fourth smallest value? (a) -0.2 (b) -1 (c) -679/23 (d) -32 a What is the biggest value in -0.9, -40/3, 100.6, -5/2? 100.6 What is the biggest value in -2, 6/325907, 0? 6/325907 Which is the biggest value? (a) -4 (b) -1629 (c) -31 (d) 0 (e) -2/7 d What is the fifth biggest value in 2, 0.04, -141865, -5, 5, 4? -5 Which is the second biggest value? (a) -0.1 (b) 3/5 (c) 0 (d) 1/2 (e) -28 (f) 1/17 (g) -3/7 d What is the fourth biggest value in -2, -546476, 1.1, -0.5? -546476 Which is the sixth smallest value? (a) 6 (b) -0.6 (c) -1 (d) 0.5 (e) -2/861 (f) -2 (g) 4 g What is the fourth smallest value in -6, 2, -2/7, -1, 34/5, -5, 1? -2/7 Which is the fourth smallest value? (a) -0.023 (b) 16 (c) 4 (d) 0.4 (e) 0.1 (f) -204 d What is the sixth smallest value in 145.7, 0.4, 15, -5, -2, -98? 145.7 What is the third smallest value in 3, 330/19, -3, -3/8, 0.2, -10, -5? -3 Which is the fourth biggest value? (a) -7609 (b) -0.14 (c) 15 (d) -1 a Which is the biggest value? (a) -1 (b) 8 (c) 83 (d) -8 (e) -3/7 (f) 3/5 c Which is the second smallest value? (a) 643 (b) 105/11 (c) -439 b What is the second smallest value in 4, 0.0423991335, 0.2? 0.2 Which is the smallest value? (a) -536 (b) -0.82 (c) 23 a What is the biggest value in -39, -0.2, 1.7, -73, 4/81? 1.7 What is the seventh smallest value in -91, -4, -0.5, 0, -394, -1/3, -3? 0 What is the fifth biggest value in 6, 16, 8.6, -108, 4? -108 Which is the third biggest value? (a) 1 (b) -1088 (c) -0.0346 b Which is the second biggest value? (a) 684/215 (b) -5 (c) 2 (d) -0.3 (e) -4 (f) -0.4 c Which is the fifth biggest value? (a) -0.08 (b) -2 (c) -144 (d) -4 (e) 2 (f) 0.4 (g) -0.1 b Which is the sixth smallest value? (a) -1/7 (b) -62 (c) -0.5 (d) 90 (e) -11/4 (f) -0.2 (g) 1/6 g What is the fourth biggest value in 0.1, -884.1, 5, -3, 8/63, -0.1? -0.1 Which is the third biggest value? (a) 179709 (b) 1 (c) 0.2 c Which is the biggest value? (a) 0.1 (b) -6/11 (c) -1 (d) -129 (e) -0.2 (f) 2/9 f Which is the second smallest value? (a) 15/37 (b) -37 (c) -1 (d) 38 c Which is the second biggest value? (a) 4 (b) -395/188 (c) 1/4 (d) 3 d What is the second biggest value in 2, 1/4, 3, -1/6, -2/1112881? 2 Which is the fifth biggest value? (a) 2/117 (b) 0.5 (c) -4 (d) -0.2 (e) 0 (f) -75 c Which is the fifth biggest value? (a) -3 (b) -0.06 (c) 19 (d) 657 (e) 1/2 a Which is the third smallest value? (a) -16.7 (b) -0.087 (c) -1 (d) -4 (e) -0.2 c Which is the smallest value? (a) 73 (b) 47 (c) 223 (d) -0.09 d What is the smallest value in 1/424, 5628, -4? -4 What is the third biggest value in -1, -1/6, -22/131, -0.3, 0.4, 8.8, -4? -1/6 What is the fifth smallest value in 0.3, -556/3, -14, -4/7, 0.4, -5.55? 0.3 Which is the biggest value? (a) 4 (b) -11/67 (c) 25 (d) 573 d Which is the biggest value? (a) 4 (b) -6 (c) -17 (d) -39 (e) -0.17 (f) 0.2 a What is the third smallest value in -3, 5/67, 20, -790? 5/67 What is the second biggest value in -47.2, 2/297, 0.07? 2/297 Which is the fourth biggest value? (a) -3/4 (b) -177/4 (c) -26/89 (d) -2/7 b What is the second biggest value in -0.08, -1, 63/4, -174, -508? -0.08 What is the fifth biggest value in -0.088, 226, 0.4, 0.316, -3? -3 What is the fifth biggest value in 1, -5, 3, -269.1, 2/3, -109, -0.5? -5 Which is the second smallest value? (a) -5 (b) -10/83 (c) 89 (d) -0.5 (e) 5 (f) -18 (g) 13 a What is the second biggest value in 4, 1/4, 0.134, 308, -22? 4 What is the third biggest value in -12622/3, 2273.8, -0.2? -12622/3 What is the second biggest value in -1/20, 6/7, -5, 403.681? 6/7 What is the fourth biggest value in 0.521, 60.8, -14, -5? -14 Which is the second smallest value? (a) -3 (b) -2/3 (c) -4/47 (d) -16 (e) -2/7 (f) -93 d Which is the biggest value? (a) 2/11 (b) 5 (c) 0.5 (d) -459 (e) 813 (f) 3 e Which is the second smallest value? (a) -39 (b) -47 (c) 0.2 (d) -0.2 (e) 1.4 a What is the smallest value in -3, 1, -11219, -4.6? -11219 Which is the fourth biggest value? (a) -21 (b) -0.3 (c) 2/3 (d) 4 (e) 1/7 (f) -1850 (g) 5 e Which is the second biggest value? (a) -10470 (b) -5/132 (c) -3 (d) 2 b What is the fourth smallest value in 4, 5823791, -0.2, 1/4? 5823791 What is the fourth biggest value in 156, -0.1, -0.5, 0, 3, -10, -2/15? -0.1 What is the fourth biggest value in 0.1, 0.8, 0.0904, 0, 0.025? 0.025 What is the third smallest value in 2, -16/9, 0, 1228, -3, -0.08, -2/27? -0.08 Which is the sixth smallest value? (a) 6/11 (b) -720557 (c) 4 (d) -4 (e) 1/6 (f) 3/4 c What is the third biggest value in 11/2, -1.25, 5, -68, -3, 1/3? 1/3 Which is the fifth smallest value? (a) -5 (b) 3/4 (c) -108583 (d) -9 (e) -0.01 b What is the fourth smallest value in -4, 99, -210, 104, 1/6? 99 What is the third smallest value in 0.29, -0.4, -14, 6/11? 0.29 What is the smallest value in -1/2, -10.562, 429? -10.562 What is the fourth smallest value in -2/15, 0.166, -1, -294? 0.166 What is the third biggest value in 0, -64/5, -4, -3/10, 39/31? -3/10 What is the smallest value in -0.5, -0.48, 194568, 15? -0.5 Which is the sixth biggest value? (a) -1 (b) -1077 (c) -1/6 (d) -5 (e) 3 (f) 5 b Which is the smallest value? (a) 4.6 (b) -791 (c) -1 b What is the sixth smallest value in -1/3, -0.19, -0.06, -142, 0, -2? 0 Which is the third biggest value? (a) -33 (b) -4 (c) 86642 (d) 5/2 b What is the smallest value in 0.5, -2/9, -3683231, -0.1? -3683231 What is the sixth biggest value in 1/4, 8/5, 0.018, -0.2, 4, 2/5, -174? -0.2 What is the fourth smallest value in -335, -5/3, 5, -4, -5, 4/3, -0.5? -5/3 What is the third smallest value in 3, 2, -97037, 176? 3 What is the third smallest value in -5, 28412, 308, -3/8? 308 Which is the second smallest value? (a) 15/19 (b) -61403 (c) -10 c Which is the sixth biggest value? (a) 4 (b) 1/5 (c) -0.4 (d) 99/8 (e) 1.1 (f) -2/3 (g) -0.2 c What is the fifth biggest value in 1/13, 6, -11.8, 0, -3/2, 3/2? -3/2 What is the second biggest value in -122, 20, 4, -2, 2/3? 4 What is the third biggest value in 1.5, 29, -2/3, 0.2, -6/5, -3/7, 0.05? 0.2 What is the fourth smallest value in -87, 7/4, -1/5, -1/7, 4, 2? 7/4 Which is the third smallest value? (a) -0.55 (b) 1/19 (c) 1573.5 c Which is the third biggest value? (a) -2/7 (b) -3 (c) 54 (d) -2/11 (e) 0.2 (f) 2254/11 e What is the third biggest value in 12/5, 0.4, 0, 1300, 5/6? 5/6 What is the third smallest value in -1, 2/12844141, -4? 2/12844141 What is the smallest value in -24, 0, -1, 11, -353, 5, 0.2? -353 Which is the third biggest value? (a) 273 (b) -29 (c) -1601 c Which is the biggest value? (a) -5 (b) -1 (c) 170 (d) 13 (e) 2/5 c Which is the biggest value? (a) -18817704 (b) -0.5 (c) 3 c What is the third smallest value in -0.4, 64/9, -5, 1/4, 0.2, -1/1653, -12? -0.4 Which is the third biggest value? (a) 10/9 (b) 90 (c) -3/41 (d) -9 (e) 1.8 a What is the third biggest value in 2/3389, -1, 11, 6, 3? 3 What is the fourth biggest value in 4, 7, 70, 0.1, -3/685? 0.1 What is the biggest value in 0.02, 0.04, 0, 3340163? 3340163 Which is the smallest value? (a) -4 (b) -1 (c) 144 (d) -1.3 (e) -342 e What is the third biggest value in 1438, 3, 859? 3 Which is the third smallest value? (a) 696 (b) 5 (c) -1/209 a What is the third biggest value in 0.1, 0.5, -8, -4.2, -1/4, 0.8, -1? 0.1 What is the fifth smallest value in 113, -13, 5, -2/5, 1/5, 10, 2/11? 5 What is the second biggest value in 2, -415/88668, -0.4? -415/88668 Which is the third smallest value? (a) -0.026 (b) -529 (c) -1 a What is the second biggest value in -4, 5.691, -0.08, 0, -3/2? 0 What is the fourth smallest value in 15, -3870, 51, 0.07? 51 Which is the third smallest value? (a) -414 (b) -177 (c) 0.4 (d) -0.09 (e) -0.3 e What is the second biggest value in 10477, -155, -15/7? -15/7 What is the seventh smallest value in -0.001, -2/9, -0.2, 5, 0, 1/3, -95? 5 Which is the biggest value? (a) -8 (b) 0.455 (c) -83 b Which is the fourth smallest value? (a) -393.9 (b) 0.2 (c) 11 (d) 10/21 c What is the smallest value in 0.3, 8, 148962? 0.
{ "pile_set_name": "DM Mathematics" }
3311807? -111974166 What is next in 1214, 1798, 3376, 6440, 11482, 18994? 29468 What is the next term in 9190196, 9190218, 9190254, 9190304, 9190368? 9190446 What is next in -555423, -1110399, -1665375, -2220351? -2775327 What is next in 20575, 20731, 20905, 21109, 21355, 21655, 22021, 22465? 22999 What comes next: 148494835, 593979342, 1336453521, 2375917372, 3712370895, 5345814090, 7276246957? 9503669496 What comes next: 24558, 97849, 219992, 390981, 610810? 879473 What is the next term in -294629, -294601, -294573, -294545, -294517? -294489 What is next in -478740, -478695, -478584, -478377, -478044, -477555? -476880 What is the next term in 2371, 8869, 19675, 34771, 54139, 77761, 105619, 137695? 173971 What comes next: -8261, -32885, -73921, -131369, -205229, -295501, -402185? -525281 What is next in 23645813, 23645818, 23645827, 23645840? 23645857 What is next in 2159546, 4319081, 6478616? 8638151 What is the next term in 145, -221, -1973, -5801, -12395, -22445? -36641 What is the next term in 91472, 91368, 91208, 90998, 90744? 90452 What is next in 1724, 12574, 41664, 98114, 191044, 329574, 522824, 779914? 1109964 What is the next term in -111569992, -111569993, -111569994? -111569995 What is next in 16629, 19867, 25253, 32781, 42445, 54239, 68157, 84193? 102341 What comes next: -35082, -69046, -103010? -136974 What comes next: 181349641, 181349642, 181349643, 181349644? 181349645 What is next in -5811, -23136, -51989, -92364, -144255, -207656, -282561, -368964? -466859 What comes next: 12957, 13071, 13183, 13293, 13401, 13507, 13611? 13713 What comes next: 81239428, 81239438, 81239448? 81239458 What is next in 15793, 15939, 15837, 15361, 14385? 12783 What comes next: -14875, -29700, -44515, -59314, -74091, -88840, -103555, -118230? -132859 What is the next term in 544, -4537, -9624, -14717, -19816, -24921? -30032 What comes next: 15941, 19370, 25089, 33098, 43397, 55986? 70865 What comes next: -7450, -7035, -6342, -5365, -4098, -2535? -670 What is the next term in 114789, 232013, 349237, 466461? 583685 What comes next: -8324, -16520, -30190, -49334? -73952 What comes next: 5017, 10648, 16203, 21676, 27061, 32352, 37543, 42628? 47601 What comes next: 16640, 16731, 16838, 16961, 17100, 17255? 17426 What is next in -5658982, -11317988, -16977026, -22636096? -28295198 What is the next term in -22, -1, 34, 89, 170, 283? 434 What is the next term in 4380, 3905, 3430, 2955? 2480 What is next in -12192, -24405, -36618, -48831? -61044 What is the next term in -35747, -68666, -101585? -134504 What is next in -1222090, -2444186, -3666282, -4888378, -6110474? -7332570 What is the next term in 41833, 41862, 41905, 41962? 42033 What comes next: 493866, 493839, 493794, 493731? 493650 What is the next term in 80290, 80271, 80240, 80197, 80142, 80075, 79996? 79905 What comes next: 33319, 66583, 99857, 133141, 166435? 199739 What is next in 7772, 62205, 209952, 497669, 972012? 1679637 What comes next: -46752, -187062, -420898, -748224, -1169004? -1683202 What comes next: 20487599, 20487627, 20487641, 20487635, 20487603, 20487539, 20487437, 20487291? 20487095 What is the next term in -445041892, -890083782, -1335125672, -1780167562? -2225209452 What is the next term in 199617, 399217, 598811, 798399, 997981, 1197557, 1397127? 1596691 What comes next: -3251, -9944, -16637? -23330 What is next in 1340, 1245, 1058, 773, 384? -115 What comes next: 1544320, 1544321, 1544322, 1544323? 1544324 What is the next term in -279445156, -279445157, -279445158, -279445159? -279445160 What is next in 401, 1228, 2623, 4586, 7117, 10216? 13883 What is next in -286385053, -572770106, -859155159, -1145540212, -1431925265, -1718310318? -2004695371 What is the next term in 4881, 16141, 34909, 61185, 94969, 136261, 185061? 241369 What is the next term in 192661, 192528, 192377, 192208, 192021, 191816, 191593? 191352 What comes next: 11872, 96045, 324528, 769477, 1503048? 2597397 What is the next term in 145118, 146221, 147338, 148475, 149638? 150833 What is next in 234, 220, 68, -312, -1010, -2116, -3720, -5912? -8782 What is next in 1747490, 3494989, 5242490, 6989993, 8737498, 10485005? 12232514 What is next in -19246464, -19246457, -19246444, -19246425, -19246400? -19246369 What is next in -4115, -5269, -6423? -7577 What comes next: 6458, 6669, 6882, 7091, 7290, 7473, 7634? 7767 What is the next term in 317785, 635906, 954027, 1272148, 1590269, 1908390? 2226511 What comes next: 4695901, 18783515, 42262871, 75133969, 117396809, 169051391, 230097715? 300535781 What is next in -4742494, -9484990, -14227486, -18969982? -23712478 What is the next term in 289, 1459, 4627, 10789, 20941, 36079, 57199? 85297 What comes next: 37201, 37360, 37513, 37654, 37777, 37876, 37945? 37978 What comes next: -166698732, -333397453, -500096172, -666794889? -833493604 What is the next term in -340340, -340350, -340358, -340364, -340368, -340370? -340370 What comes next: -16687535, -16687534, -16687533, -16687532, -16687531? -16687530 What is next in -337781, -1351092, -3039951, -5404358? -8444313 What is the next term in 254694, 254671, 254650, 254631, 254614, 254599? 254586 What is the next term in -1255442, -1255490, -1255538, -1255586, -1255634, -1255682? -1255730 What is the next term in 755372, 755361, 755352, 755345, 755340, 755337, 755336? 755337 What comes next: 5725858, 22903431, 51532720, 91613725? 143146446 What comes next: -2366, -4770, -7210, -9686? -12198 What is next in -5275657, -10551322, -15827001, -21102694, -26378401, -31654122, -36929857? -42205606 What is next in -12196, -11773, -11350, -10927, -10504? -10081 What comes next: 23082291, 46164581, 69246871, 92329161, 115411451, 138493741? 161576031 What comes next: 20244, 13579, 6914, 249? -6416 What is next in 22728, 22106, 21484, 20862, 20240, 19618? 18996 What comes next: 1545993, 3092018, 4638043? 6184068 What is the next term in 480065, 959931, 1439797, 1919663? 2399529 What is the next term in -1015492, -2030945, -3046400, -4061857, -5077316? -6092777 What is the next term in -67000451, -67000450, -67000449, -67000448, -67000447, -67000446? -67000445 What is next in -5175, -4471, -3767? -3063 What is next in -4606, -18650, -42056, -74824, -116954? -168446 What is next in -1179, -4458, -9951, -17658, -27579, -39714? -54063 What comes next: -361356, -1445479, -3252366, -5782017, -9034432? -13009611 What comes next: 344033, 2752341, 9289187, 22018841, 43005573, 74313653, 118007351, 176150937? 250808681 What is next in -5867837, -5867845, -5867867, -5867909, -5867977, -5868077? -5868215 What is the next term in -86961680, -86961678, -86961676, -86961674, -86961672, -86961670? -86961668 What is the next term in 666, 787, 1002, 1323, 1762, 2331, 3042? 3907 What comes next: 60069, 64023, 70611, 79833, 91689, 106179? 123303 What comes next: -60413, -116985, -169725, -218639, -263733, -305013? -342485 What comes next: -1327584, -10620537, -35844286, -84964233, -165945780, -286754329, -455355282, -679714041? -967796008 What is next in 436227052, 436227053, 436227054, 436227055? 436227056 What comes next: 2285, 4259, 7283, 11351, 16457, 22595, 29759, 37943? 47141 What comes next: 12232, 36322, 76474, 132688? 204964 What is the next term in 326403231, 652806459, 979209687, 1305612915, 1632016143? 1958419371 What is next in 829230, 1658451, 2487672, 3316893, 4146114, 4975335? 5804556 What comes next: -82514, -82435, -82360, -82289, -82222, -82159, -82100? -82045 What is the next term in -31025229, -62050456, -93075683, -124100910, -155126137? -186151364 What is next in -103382, -103818, -104254, -104690, -105126, -105562? -105998 What is the next term in 2992123, 5984246, 8976369? 11968492 What is next in 3794, 8209, 12644, 17105, 21598, 26129? 30704 What is next in 709, 730, 751, 772, 793? 814 What is the next term in 371, 286, -227, -1162, -2513, -4274, -6439? -9002 What is next in 231, 455, 637, 735, 707, 511, 105, -553? -1505 What comes next: -204448, -204419, -204390, -204361, -204332, -204303? -204274 What is next in -7784, -8166, -8794, -9662, -10764? -12094 What is the next term in 4407871, 8815583, 13223295? 17631007 What is the next term in 37349503, 74699005, 112048507, 149398009, 186747511, 224097013? 261446515 What is
{ "pile_set_name": "DM Mathematics" }
e in -0.3, -4, -5/26, -3? -3 What is the biggest value in 0.07, -2, -13? 0.07 Which is the third smallest value? (a) 2/9 (b) 0 (c) 18 (d) 0.4 (e) -5 a Which is the fifth biggest value? (a) -0.3 (b) 2/11 (c) 16/9 (d) 0.03 (e) 2/15 a Which is the third smallest value? (a) 2.8 (b) 5 (c) -0.3 b What is the fifth smallest value in -6, 2/3, -10, -0.02, 0.1? 2/3 Which is the biggest value? (a) 1/46 (b) 3/4 (c) 2 c What is the biggest value in -7/159, 4, -0.4? 4 What is the fourth biggest value in 12, 3, 0.3, -2/9? -2/9 What is the second smallest value in -0.1, -19, 0.1, -0.04, 0? -0.1 What is the third smallest value in 4, 1/3, 0.2, -1, -0.01? 0.2 Which is the second biggest value? (a) -3 (b) 1 (c) -1 (d) 0.5 (e) -0.07 d What is the smallest value in -2, 1, -4, -8? -8 What is the third biggest value in 0.5, -3/4, 380, -2? -3/4 Which is the third biggest value? (a) -5/4 (b) 1/2 (c) -3 (d) -1/5 a What is the smallest value in -1.2, 1/5, 16? -1.2 Which is the third biggest value? (a) 4 (b) -4 (c) 0.2 (d) 1 (e) -315 c Which is the third biggest value? (a) -2/3 (b) 2/7 (c) -2/5 (d) -0.1 c Which is the third smallest value? (a) 5.3 (b) -1 (c) 0.2 (d) -0.5 (e) 5 c What is the third biggest value in 5/24, 18, -5, 0? 0 What is the second biggest value in 4/3, -0.6, 8, 6/11? 4/3 What is the biggest value in -2, 1.6, 2, 2/11? 2 What is the second biggest value in -4, 0.5, 3, -361? 0.5 Which is the fifth biggest value? (a) -3/8 (b) 13 (c) 3/7 (d) -2 (e) 6/11 d What is the third biggest value in -0.4, 0.3, -10? -10 What is the biggest value in 2, -4/5, 2/13, 5? 5 Which is the third biggest value? (a) 4 (b) -0.5 (c) 10 b What is the biggest value in 3/8, 20, 6, 0.02, 1/5? 20 Which is the biggest value? (a) 0 (b) -2/9 (c) 0.04 (d) 5 d Which is the second biggest value? (a) 5 (b) 25 (c) -2/19 a Which is the fourth smallest value? (a) -18 (b) 1/4 (c) 1.5 (d) -4 (e) -2 b What is the smallest value in -0.1, -1, 1/5, 8, -0.3? -1 Which is the fourth smallest value? (a) -37 (b) 0.072 (c) 1/2 (d) -0.4 (e) -4 b What is the biggest value in 44, 0.2, -1/5? 44 What is the second biggest value in -0.1362, 3/2, 4? 3/2 Which is the third smallest value? (a) 1 (b) 2/5 (c) -0.4 (d) 0.03 b What is the third biggest value in 1, 47/11, -10? -10 What is the second smallest value in -359, 3, -0.2? -0.2 Which is the fourth biggest value? (a) -3/4 (b) 3 (c) 77 (d) 7 a Which is the smallest value? (a) -5 (b) -1.7 (c) 0 (d) -2/5 (e) 5 a Which is the second biggest value? (a) 1/5 (b) -0.07 (c) -0.5 b What is the second biggest value in 2/9, 0.03, 21? 2/9 Which is the biggest value? (a) -0.1 (b) 0.36 (c) 4 c Which is the biggest value? (a) 0.5 (b) -2/3 (c) 2/5 (d) -2 (e) 29 e What is the second biggest value in -4, 22/13, 1/40, 4? 22/13 What is the fourth biggest value in 0.1, 9, 0.01, 3, -2/21? 0.01 What is the second smallest value in 7, 19, 0.3, -4? 0.3 Which is the biggest value? (a) 3 (b) 110 (c) -4 b Which is the second biggest value? (a) 3/4 (b) -56/5 (c) 0.4 c What is the second biggest value in 0.4, 7, 14? 7 Which is the second biggest value? (a) -1/4 (b) 1 (c) 59/3 b Which is the second biggest value? (a) 0.5 (b) 1123 (c) 0 a What is the fourth biggest value in -2/3, -1/9, 5, -2/193? -2/3 What is the second biggest value in -0.1, -9/38, 0? -0.1 What is the second smallest value in -5, 1/46, -1, -0.5? -1 What is the biggest value in -2, -0.4, -1/27? -1/27 Which is the fourth biggest value? (a) -24 (b) 2 (c) 5 (d) 0.3 a Which is the biggest value? (a) -6/11 (b) 2 (c) 2/53 (d) 4/7 b Which is the third biggest value? (a) 1 (b) 1/4 (c) -0.008 (d) -0.1 c Which is the third smallest value? (a) -0.4 (b) 0.1 (c) -3 (d) 4/9 b Which is the biggest value? (a) 5 (b) 7.06 (c) 3 b Which is the second biggest value? (a) -23 (b) 0 (c) 0.2 (d) 2/7 c Which is the second biggest value? (a) -9 (b) -1/4 (c) -1/3 (d) 0.01 b What is the fourth biggest value in -0.3, -3, -6, 2/9, -1/2? -3 Which is the third biggest value? (a) 0.5 (b) -7/2 (c) -4/3 b What is the biggest value in 0, 0.22, 1.1, 0.5? 1.1 Which is the biggest value? (a) 1 (b) 2 (c) 5 (d) -13 c Which is the biggest value? (a) 8 (b) -3 (c) 2 (d) 0.4 (e) -0.1 a What is the fourth biggest value in -1, -2, -3, 0.4, -2/5? -2 Which is the third biggest value? (a) 3 (b) 0.1 (c) 2/15 (d) -14 b What is the third smallest value in 0.1, -5, -0.5, 0.2, -0.041? -0.041 What is the second smallest value in 5315/8, -2/5, 4? 4 Which is the fifth smallest value? (a) -3/5 (b) -1/5 (c) -5 (d) 0.9 (e) 6.2 e Which is the fourth biggest value? (a) -3/8 (b) -1/4 (c) -1 (d) -14/13 d What is the fifth smallest value in -0.4, -1/5, -0.5, -2/25, 14? 14 What is the second smallest value in 0.0068, 2/17, 1? 2/17 What is the second biggest value in -4/7, 0.5, 0.399? 0.399 Which is the fifth biggest value? (a) 0.2 (b) 5 (c) -1/6 (d) -0.2 (e) -3/7 e What is the biggest value in 4, 27/2, -3/2? 27/2 Which is the biggest value? (a) -1 (b) -2/7 (c) 1/8 (d) 0.2 d What is the fourth smallest value in 1, -5.3, -0.3, -5, 3/2? 1 What is the biggest value in 0.4, 101, 5? 101 What is the smallest value in 1/5, -6/23, -1/3, 0.5? -1/3 What is the smallest value in -2, 4/3, -14, 0.03? -14 What is the biggest value in -0.19, -0.1, 0.5, 0.4? 0.5 What is the third biggest value in 8, -3, -2? -3 What is the biggest value in 0.19, 11, -1/2? 11 Which is the third smallest value? (a) 0.03 (b) 2/9 (c) -4 b Which is the second biggest value? (a) 20 (b) 0 (c) -4 (d) 4/7 (e) 5 e Which is the biggest value? (a) -2 (b) 2 (c) -0.1 (d) -3/14 b Which is the fifth biggest value? (a) 2 (b) 3 (c) -5 (d) 96 (e) -2/3 c What is the biggest value in -0.2, -22, -8? -0.2 What is the biggest value in 14, 0.4, 2, 1? 14 Which is the third smallest value? (a) -0.5 (b) -7/3 (c) -5/7 a Which is the third biggest value? (a) -1.3 (b) -14 (c) -0.1 b Which is the smallest value? (a) 3/4 (b) 1/4 (c) -9 (d) 0.09 c What is the second smallest value in -24, -0.03, 0, -2/7? -2/7 Which is the third smallest value? (a) 4 (b) -2/9 (c) 0 (d) 7 a What is the fourth smallest value in 0.5, -2, 4/5, 155? 155 What is the biggest value in -10, -0.16, 0.1? 0.1 What is the second smallest value in 0.4, -0.4, 3, 5? 0.4 What is the biggest value in -1, 3, -16, 3/4? 3 What is the fourth biggest value in -0.2, 1, 15, -0.4? -0.4 What is the third biggest value in 0.5, -1, 4, -5? -1 Which is the third smallest value? (a) -166 (b) 2 (c) 12 c Which is the smallest value? (a) -179 (b) 1 (c) -2/15 a Which is the second biggest value? (a) 4 (b) 6 (c) -10 (d) -4 a Which is the third smallest value? (a) -10 (b) 4/13 (c) -1 (d) -5 c What is the third biggest value in -0.2, -4, 0.1, -64? -4 Which is the smallest value? (a) -1 (b) 5 (c) 75 a What is the third smallest value in -23, 4, 0.046, -3/5, -4/7? -4/7 Which is the biggest value? (a) -0.4 (b) 4 (c) 8 c Which is the smallest value? (a) 0.34 (b) -2 (c) -22 (d) -3 (e) 4 c What is the second smallest value in -4, -1, -3245? -4 Which is the smallest value? (a) -1 (b) 1.2 (c) 50 (d) 4 a What is the fourth smallest value in 15, -4, 1/5, -2/5, 5? 5 What is the biggest value in -2/9, -1.11, -3/5, -12, 5? 5 Which is the fourth smallest value? (a) -3/5 (b) 1 (c) -49 (d) -1 b Which is the third biggest value? (a) -4 (b) -1/3 (c) 15/38 a What is the fourth smallest value in 1, 8/9, -9, -5? 1 What is the third smallest value in 1/3, 0, -2/5? 1/3 Which is the third smallest value? (a) -0.0741 (b) -1 (c) -4 a Which is the third biggest value? (a) 7 (b) -1/6 (c) 31 b What is the biggest value in 8.5, 1/3, -3/7? 8.5 Which is the second smallest value? (a) -1/4 (b) -1 (c) 1015 a Which is the biggest value? (a) 0.5 (b) -3 (c) 3 (d) 12 d Which is the smallest value? (a) -0.5 (b) 81 (c) 0 (d) 0.07 a Which is the third biggest value? (a) -0.1 (b) -1117 (c) -2 (d) -1/2 c Which is the second biggest value? (a) 50 (b) -1 (c) -0.04 c What is the second smallest value in 8, 0.07, 3? 3 Which is the second biggest value? (a) -0.1 (b) -0.5 (c) -1 (d) 13 a What is the third big
{ "pile_set_name": "DM Mathematics" }
e b'th term of 701, 2280, 6561, 14894, 28629? 225*b**3 + b**2 + b + 474 What is the j'th term of 2603, 5381, 8311, 11393, 14627, 18013? 76*j**2 + 2550*j - 23 What is the q'th term of -48513631, -48513629, -48513627, -48513625, -48513623, -48513621? 2*q - 48513633 What is the y'th term of -795, -1837, -3113, -4605, -6295? 3*y**3 - 135*y**2 - 658*y - 5 What is the r'th term of 1997, 15956, 53863, 127700, 249449, 431092, 684611? 1997*r**3 - 8*r**2 + 4*r + 4 What is the g'th term of 2950943, 2950939, 2950935, 2950931? -4*g + 2950947 What is the w'th term of -136, -2394, -6156, -11422, -18192, -26466, -36244? -752*w**2 - 2*w + 618 What is the i'th term of -1906, -3104, -4302, -5500? -1198*i - 708 What is the f'th term of 19793, 19839, 19947, 20147, 20469, 20943, 21599, 22467? 5*f**3 + f**2 + 8*f + 19779 What is the d'th term of -120290, -240783, -361276? -120493*d + 203 What is the f'th term of -145339, -290928, -436515, -582094, -727659, -873204? f**3 - 5*f**2 - 145581*f + 246 What is the s'th term of -4249935, -16999736, -38249409, -67998954, -106248371? -4249936*s**2 + 7*s - 6 What is the f'th term of -7697, -15216, -22735? -7519*f - 178 What is the k'th term of -469486, -468086, -466686, -465286? 1400*k - 470886 What is the n'th term of 213392, 427950, 642508, 857066, 1071624? 214558*n - 1166 What is the g'th term of -3660, -13008, -28588, -50400? -3116*g**2 - 544 What is the u'th term of 48832, 48884, 49020, 49282, 49712, 50352, 51244? 7*u**3 + 3*u + 48822 What is the l'th term of -126414, -126396, -126344, -126240, -126066, -125804, -125436? 3*l**3 - l**2 - 126416 What is the u'th term of 3947771, 3947760, 3947743, 3947720, 3947691, 3947656, 3947615? -3*u**2 - 2*u + 3947776 What is the a'th term of -204, -1635, -5512, -13059, -25500, -44059? -204*a**3 + a**2 - 6*a + 5 What is the j'th term of -582, -724, -734, -558, -142, 568, 1626? 9*j**3 + 12*j**2 - 241*j - 362 What is the b'th term of -1506, -5951, -13334, -23649, -36890? b**3 - 1475*b**2 - 27*b - 5 What is the a'th term of 1034377, 1034366, 1034355, 1034344? -11*a + 1034388 What is the m'th term of 82, 3331, 12952, 32131, 64054, 111907? 531*m**3 - 468*m + 19 What is the s'th term of 18449, 18509, 18611, 18755, 18941, 19169? 21*s**2 - 3*s + 18431 What is the k'th term of 164737, 164057, 163377, 162697, 162017? -680*k + 165417 What is the l'th term of 12365, 33999, 55631, 77261, 98889, 120515? -l**2 + 21637*l - 9271 What is the k'th term of -183346, -180189, -177032, -173875, -170718, -167561? 3157*k - 186503 What is the i'th term of 39038, 73632, 108226, 142820? 34594*i + 4444 What is the v'th term of 160955, 167902, 174849? 6947*v + 154008 What is the d'th term of 618543284, 618543287, 618543290, 618543293, 618543296, 618543299? 3*d + 618543281 What is the y'th term of 3312, 5867, 7698, 8805, 9188? -362*y**2 + 3641*y + 33 What is the b'th term of 520639, 1041560, 1562761, 2084242? 140*b**2 + 520501*b - 2 What is the o'th term of -2197453, -4394905, -6592359, -8789815? -o**2 - 2197449*o - 3 What is the t'th term of 280, 455, 554, 577, 524? -38*t**2 + 289*t + 29 What is the x'th term of -849250, -1698518, -2547786? -849268*x + 18 What is the a'th term of 2062, 7975, 17740, 31357, 48826? 1926*a**2 + 135*a + 1 What is the u'th term of -216527, -216616, -216693, -216752, -216787? u**3 - 96*u - 216432 What is the r'th term of 436395, 436370, 436323, 436242, 436115, 435930? -2*r**3 + r**2 - 14*r + 436410 What is the g'th term of -355, -476, -651, -898, -1235, -1680, -2251? -3*g**3 - 9*g**2 - 73*g - 270 What is the j'th term of -1653, -1555, -1451, -1347, -1249, -1163, -1095, -1051? -j**3 + 9*j**2 + 78*j - 1739 What is the k'th term of -420, -776, -1450, -2508, -4016? -11*k**3 - 93*k**2 - 316 What is the f'th term of 106458, 104944, 102422, 98892, 94354, 88808? -504*f**2 - 2*f + 106964 What is the z'th term of 2177, 2110, 2015, 1904, 1789? 2*z**3 - 26*z**2 - 3*z + 2204 What is the p'th term of -298633, -1194555, -2687763, -4778257, -7466037? -298643*p**2 + 7*p + 3 What is the s'th term of -65228, -130642, -196238, -262016, -327976, -394118, -460442? -91*s**2 - 65141*s + 4 What is the v'th term of 241, 184, -351, -1550, -3599, -6684? -31*v**3 - 53*v**2 + 319*v + 6 What is the m'th term of -6749, -13974, -21675, -29852? -238*m**2 - 6511*m What is the s'th term of 787, 1063, 1491, 2065, 2779, 3627, 4603? -s**3 + 82*s**2 + 37*s + 669 What is the q'th term of 102, 123, 156, 195, 234? -q**3 + 12*q**2 - 8*q + 99 What is the r'th term of 1878, 1854, 1832, 1812, 1794? r**2 - 27*r + 1904 What is the u'th term of 66669769, 66669785, 66669827, 66669907, 66670037, 66670229, 66670495, 66670847? 2*u**3 + u**2 - u + 66669767 What is the q'th term of -1285768, -1285770, -1285764, -1285744, -1285704, -1285638? q**3 - 2*q**2 - 3*q - 1285764 What is the n'th term of -100946, -100736, -100164, -99050, -97214, -94476, -90656? 30*n**3 + n**2 - 3*n - 100974 What is the a'th term of 773, -516, -1805, -3094, -4383? -1289*a + 2062 What is the o'th term of 4834492, 9668936, 14503382, 19337830? o**2 + 4834441*o + 50 What is the i'th term of -10950, -10863, -10722, -10533, -10302? -i**3 + 33*i**2 - 5*i - 10977 What is the v'th term of -15838, -16168, -16502, -16840, -17182, -17528? -2*v**2 - 324*v - 15512 What is the o'th term of 1733, 2810, 4601, 7106, 10325, 14258? 357*o**2 + 6*o + 1370 What is the q'th term of -6193397, -6193366, -6193335, -6193304? 31*q - 6193428 What is the u'th term of 1528644, 3057314, 4585984, 6114654, 7643324, 9171994? 1528670*u - 26 What is the a'th term of -5899, -25583, -58391, -104323, -163379, -235559? -6562*a**2 + 2*a + 661 What is the r'th term of -3337182, -6674365, -10011548? -3337183*r + 1 What is the i'th term of -92353418, -92353419, -92353420? -i - 92353417 What is the l'th term of 18793193, 18793201, 18793215, 18793235? 3*l**2 - l + 18793191 What is the g'th term of -28147325, -28147324, -28147323, -28147322, -28147321, -28147320? g - 28147326 What is the u'th term of 790252871, 1580505745, 2370758619? 790252874*u - 3 What is the t'th term of 8106004, 8106008, 8106012? 4*t + 8106000 What is the o'th term of -1632, -13101, -44248, -104913, -204936, -354157, -562416? -1640*o**3 + o**2 + 8*o - 1 What is the l'th term of 469881, 939133, 1408385, 1877637, 2346889, 2816141? 469252*l + 629 What is the c'th term of 17726, 17759, 17778, 17777, 17750, 17691? -c**3 - c**2 + 43*c + 17685 What is the b'th term of 4844, 18535, 41056, 72407, 112588, 161599? 4415*b**2 + 446*b - 17 What is the z'th term of -547, -2235, -5121, -9265, -14727, -21567, -29845? -10*z**3 - 539*z**2 - z + 3 What is the l'th term of -81958949, -81958950, -81958951, -81958952, -81958953? -l - 81958948 What is the l'th term of 3850027, 3849980, 3849933, 3849886, 3849839? -47*l + 3850074 What is the p'th term of -18063, -36415, -54753, -73071, -91363? p**3 + p**2 - 18362*p + 297 What is the v'th term of -148945443, -297890881, -446836319, -595781757, -744727195? -148945438*v - 5 What is the q'th term of -6664, -13059, -19454, -25849? -6395*q - 269 What is the n'th term of -1403170814, -1403170812, -1403170800, -1403170772, -1403170722, -1403170644? n**3 - n**2 - 2*n - 1403170812 What is the m'th term of -30814, -30383, -29954, -29527? -m**2 + 434*m - 31247 What is the q'th term of 2465699, 4931439, 7397181, 9862925, 12328671, 14794419? q**2 + 2465737*q - 39 What is the q'th term of -2286, -2678, -3050, -3402, -3734? 10*q**2 - 422*q - 1874 What is the l'th term of 196, 1161, 2890, 5467, 8976, 13501, 19126, 25935? 14*l**3 + 298*l**2 - 27*l - 89 What is the p'th term of 307680, 307665, 307646, 307623? -2*p**2 - 9*p + 307691 What is the r'th term of -6923, -28386, -64113, -114104, -178359? -7132*r**2 - 67*r + 276 What is the o'th term of -5156285, -5156327, -5156369, -5156411, -5156453? -42*o - 5156243 What is the n'th term of 3906364, 7812777, 11719188, 15625597, 19532004? -n**2 + 3906416*n - 51 What is the a'th term of -1934, -10298, -33000, -77210, -150098? -1195*a**3 + a**2 - 2*a - 738 What is the g'th term of 213062, 213086, 213110, 213134? 24*g + 213038 What is the v'th term of -9967636, -9967631, -9967626, -9967621? 5*v - 9967641 What is the v'th term of -816201, -816209, -816217, -816225? -8*v - 816193 What is the t'th te
{ "pile_set_name": "DM Mathematics" }
he value of -6 + 25 + 55 + (-37 - -15)? 52 Evaluate -40 - -29 - ((-12 - -20) + -6 + 43). -56 Calculate (-9 - (-13 + 9)) + (7 - 1) + 4 + -60. -55 Evaluate (-164 - -152) + (22 - 6). 4 (15 - -2) + (4 + -3 - (6 + -8 - 3)) 23 Evaluate (-2 + 21 + 2 - (32 - 38)) + -4. 23 Calculate 15 + 1 - ((-219 - -140) + 82). 13 What is the value of 110 + (3 - 6 - 0) - (95 + -76)? 88 Calculate 9 + 0 - (-4598 + 4653). -46 (9 - 2) + 4 + 31 + -29 + 4 17 What is -89 + 194 - (15 - (2 + 4 + -11))? 85 (21 + (-60 - -20) - -13) + 8 2 What is 6 + (-56 - -40) + 30? 20 What is -12 + (-23 - -42) + 34 + -147? -106 What is (20 - -79) + -25 + -49? 25 Calculate -7 + (-4 - (-6 - (5 - -2 - 0))) + 15. 17 Evaluate (1 - -3 - 60) + (49 - 60). -67 What is the value of -24 - -21 - -18 - (17 - 2)? 0 What is the value of 117 + -163 + (51 - -3)? 8 What is 255 + -276 + (10 - -2) + 64 + 2? 57 Evaluate 2 - 5 - -18 - (-2275 + 2255). 35 Evaluate -136 - 48 - -175 - (1 - (-69 + (-2 - -1))). -80 88 - (-28 - (-69 + 38 + 21)) 106 What is (3 - 50) + 40 - 20? -27 What is the value of -14 - ((-2 - -5) + 6 + 6)? -29 What is the value of (-1 - 6) + 48 + 2 + (-25 - -15)? 33 What is 9 + -2 + -3 + -106 + 89? -13 -25 - ((-80 - 1) + -266 + 224) 98 What is the value of (-49 - -32 - (-26 + 1)) + -73 - -21? -44 What is the value of 27 - 0 - 85 - (-5 + -11)? -42 What is -5 + (15 - 21 - 33 - -9)? -35 What is the value of -44 + -1 - (47 + 57 + -156 + 76)? -69 50 + -4 - (511 + -510) 45 (5311 - 5405) + 175 + 0 81 Evaluate 36 + (38 + -51 - (13 + -6 + -34) - 1). 49 24 + -37 + -9 + 24 - (-5 - 91) 98 -57 - (-8 + 5 + (-21 - -40)) - -13 -60 What is 11 - -48 - (18 + -25 + 27)? 39 Calculate -20 - (3 + 4 + -9 + (-70 - -63)). -11 -19 + 10 + 24 - (0 - 26) 41 Evaluate 2 + 26 - (121 - 29 - 105). 41 Evaluate 124 + -213 - (-19 - -6). -76 Calculate 74 + 0 - (8330 + -8331). 75 What is the value of 4 + -72 + 16 + 45 + (-2 - -10)? 1 What is the value of (11 - -7) + (-3 - (-7 + 2 - -22))? -2 (-5 - (-106 + 10 + -5 + -11)) + (-49 - -47) 105 Evaluate -76 - (-95 - (-7 - 8)). 4 What is -4 - (-4 + (-9 - 0) + (61 - 59))? 7 What is 17 - (11 - (11 - 30 - -15))? 2 What is the value of 2 - (-3 - 78 - (850 - 800))? 133 What is the value of 1 + -73 - (4225 + -4233)? -64 Evaluate -24 - (22 - (39 - (14 + -30))). 9 -25 - (35 - (60 + 22)) 22 Evaluate (0 - (-49 + 83 + 59)) + -25. -118 Evaluate (-227 - -300) + 6 + -24 + 0. 55 What is -3 + 10 + (-15 - (-13 + 4)) + 20 + -9? 12 What is 8 - (4 - (35 + -31 - -73))? 81 Evaluate -48 + -45 + 71 + -20. -42 -22 + ((17 - 0) + -3 - (24 + 9 + -24)) -17 What is the value of -359 + 486 - (112 + -4)? 19 Calculate 2359 + -2357 - (17 - 0 - (0 - (-1 + -1))). -13 What is the value of 27 - (154 + -29 + 0) - -16? -82 Calculate 5 + (-9 + 3 - (22 - -13 - 19)). -17 What is the value of -2 + -2 + (1 - (5 - -4)) + 6 - -5? -1 Calculate 14 + 6 + -52 + -10. -42 Evaluate 24 - -21 - 28 - (1 + -42 - -1). 57 Evaluate 23 + 0 + -23 + (-5 - -6 - -105 - 4). 102 Calculate 47 - 3 - (-126 - -135). 35 Calculate -69 - -38 - -1 - -65. 35 Evaluate (10 - (15 + -36 - -47)) + -16 + -1. -33 Evaluate (-9 - 1) + (80 - 116) + 55. 9 What is the value of 15778 - 15782 - (1 + 0 - 0 - -14)? -19 What is 2732 + -2719 - ((8 - 5) + -5)? 15 What is the value of 48 + (-88 - -28 - -2)? -10 (-5109 - -5152) + (-10 - (-2 + 3 + 0)) 32 (-253 + 34 - -119) + 100 0 Calculate 80 - -3 - (2181 + -2175). 77 (-4 + 9 - 6) + (24 - 22 - -18) + -115 -96 (-67 - -2) + 7 + (-5 - -1) + 1 - -5 -56 Evaluate 32 + (-37 - -62) + -40. 17 What is the value of -888 - -911 - (6 - (0 - 1))? 16 What is -60 + (-18 - -11) + (6 + 1 - 5) + -3? -68 Calculate -129 + 132 - (6 - (-1 + 3) - (5 - 4)). 0 (114 - 136) + (8 - -1) - -65 52 (27 - 12) + (-12 - (-18 + -4)) + 53 78 What is the value of -41 + (25 - -25) - (48 - -1)? -40 What is -8 + 21 + -57 - 48? -92 20 + (-10 + 12 + 7 - 26) + 63 66 Calculate 15 + -12 + 9 + -4 + -11. -3 What is the value of -79 - (75 + (-217 - -40))? 23 -8 + 21 + -11 - ((12 - -3) + 14) -27 Evaluate 0 - 27 - (-1116 + 1081). 8 Calculate -578 - -633 - (9 + -2). 48 (-1 - -1 - (-67 + 5)) + 110 + (-195 - -90) 67 Calculate -19 + -43 + 59 + (-2 + (0 - -6) - 3). -2 (75 - 72 - (4 - -3)) + 6 + -4 -2 Calculate -79 - (12 + (-10 - 10) + (-6 - 1)). -64 What is the value of (-22 - (6 - -6 - 26)) + (-6 - 0) + -56? -70 Evaluate -4 + -1 + -52 + (-17 - -18 - 18) + -7. -81 What is the value of -5 - 64 - 5 - (852 + -870)? -56 Calculate 200 + -171 + -13 + 21 + 0. 37 What is 51 + -57 + 11 + (-3 - -1)? 3 Calculate 5 - 19 - (-12 + 28 + 6 + -17). -19 Evaluate (39 - 54 - (0 + -29)) + (-68 - -2). -52 What is 6 + (3 - (48 + -29)) + 32? 22 Evaluate (-66 - (-21 + (-15 - 8))) + 1 + 12 + -81. -90 -22 + -113 - (-47 + 22) -110 Calculate 38 + 3 + 4 - (2 - 3 - -15). 31 Evaluate -17 + (13 - (24 + -10) - -14 - -25). 21 9 - (3 + 0) - (8 + 8 + 47) -57 Calculate -7 + 16 + -2 - (7 + 3 + (-58 - -29)). 26 Calculate 3 - (4 - 0 - (124 + -72)). 51 What is (-32 - (37 + -94 + 14)) + -64? -53 What is the value of 87 - (-53 - -152) - (-1 - -13)? -24 What is the value of -47 + (-70 - -131) + 44 + 1? 59 What is -14 + (21 - -15) + 15 - 11? 26 Evaluate (6 - 1) + 1 - ((4 + -48 - 6) + 22). 34 Calculate (1 - (-4 - 0)) + -2430 + 2434 + -35. -26 50 - (3 + -7 + 2) - (95 + -104) 61 What is the value of 124 + -94 - ((-35 - -12) + 7)? 46 What is -30 - ((22 - 27) + 8 + -58)? 25 Evaluate -7 + ((-2 + 5 - 6) + -67 - (49 - 36)). -90 10 + 6 + (2 - 11) + -4 + 10 13 What is -21 - (-18 - -10 - (-1 - (16 - (16 + -14))))? -28 What is (-16 - (31 + -9) - -25) + 18? 5 Calculate (-99 - -1) + (290 - 314 - (-2 + -32)). -88 What is the value of 23 + (-12 - (-10 + 21 - 10))? 10 What is (-43 + 5 - (166 + -188)) + -5? -21 What is the value of (-101 - (-117 + -12)) + 71? 99 Calculate (-434 - -423) + (-8 + 6 - -2) + 65. 54 (-31 + 61 + -14 - 26) + 30 + 2 + 1 23 What is the value of -90 - ((11 + -28 - -1) + (21 - 30))? -65 -7 - 1 - (-381 - -405) - 23 -55 What is (1 - 0 - 2) + 2 + (-68 - -18 - -100)? 51 17 + (8 - 0 - 10 - 7) - (4 + 1) 3 Evaluate 16 + -56 + 30 + -9. -19 (-10 - 15 - -31) + 77 + (-6 - -5) 82 Evaluate 0 + -2 + -18 + 97 + -24 + -73. -20 (-1 - -6) + (6 - 7) + (77 - (18 - 42)) 105 Calculate -1 - -6 - (37 + -99 + 72). -5 Calculate -10 - 8 - -12 - 34 - (-13 - 0). -27 28 + (-2 - -13) + (-11 - -7) + -6 29 Calculate -12 + 3 - (-782 - -699). 74 Evaluate -40 + (63 - 24) + -16. -17 What is the value of 12 + -51 + 27 + (-4 - (-24 - -5))? 3 -1 + (58 - ((35 - 45) + 4 + 0)) + -8 55 What is (-37 - 27) + 97 - ((2 - -1) + -11)? 41 What is the value of (50 - 15) + (-4 - -6 - 4) + 9? 42 Calculate 27 + -105 + 20 - 14. -72 What is the value of (3 - -29) + (24 - -44) - 9? 91 What is (2 - (19 - 2 - 5)) + 90 + -122? -42 What is -92 + (66 - 59) + 28? -57 What is the value of (50 - (-51 - -48)) + -93? -40 What is 30 + -18 + 2 - (9 - 3) - -137? 145 Evaluate -6 + 10 - 9 - (90 + -69). -26 Evaluate (0 - 0 - 30) + (277 - 292). -45 -108 + 1 - (-2108 + 1921) 80 18 + (-51 - -59) + (-2 - 18) + -2 + -7 -3 17 - -12 - 74 - (-209 - -24) 140 What is the value of (20 - 3) + (1 - 15) - (12 + -63)? 54 Calculate -14 + (-2 + -12 - (-57 + -2)) + 14. 45 Calculate 1 - -10 - (-14 + -12 - (-4 + 7)). 40 46 - (17 + 5 + -39 + (1 - -14)) 48 Evaluate 9 - (16 + (21 - 18) + 17). -27 Calculate -18 + -15 + 9 - -135 - (-11 - -13). 109 Evaluate (10 + 1 + -3 - (-3 - -6)) + 12. 17 What is the value of -14 - (11 - 8) - (-302 + 315)? -30 32 - (-11 + 10 + -25) - 41 17 Calculate (47 - 16) + -4 + -3 + (5 - 4 - -3). 28 Calculate -14 - (530 + -546 + -1 + 43). -40 Evaluate -1 + -13 + -2 + 21 - -15. 20 Evaluate -224 + 115 - -9 - 2. -102 76 + -1 + 8 + 78 + -71 + -3 87 Calculate -1814 - -1781 - (1 - -1). -35 Evaluate 106 + (6 + (21 - 11) - 11) + -5 + 2. 108 -338 + 692 + -451 + -11 + -1 + 1 + 0 -108 What is the value of 8 + 0 + (4 - -6 - (-42 - -57))? 3 Calculate -53 + (191 - 45) - 157. -64 What is the value of 2 + 8 - (18 - 5 - (155 - 124))? 28 What is the value of -230 + 219 - ((25 - -7) + 4)? -47 Evaluate -31 - (1 - (15 - (-2 - -8 - (1 + -5)))). -27 Calculate -2 - -7 - (-2 + 10) - (-104 - (3 + -3)). 101 What is the value of 1 + -33 + 3 + 40 + (49 - 90)? -30 Evaluate 2 + ((-3 - 4) + 31 - (-7 - 0)) + -4. 29 What is the value of -70 + (7 - -16) - -130? 83 What is the value of 26 - 52 - -22 - -32? 28 What is the value of -33665 - -335
{ "pile_set_name": "DM Mathematics" }
is 305434 to the power of 1/8, to the nearest integer? 5 What is 809479 to the power of 1/2, to the nearest integer? 900 What is the square root of 15292694 to the nearest integer? 3911 What is 5571031 to the power of 1/6, to the nearest integer? 13 What is 565144 to the power of 1/2, to the nearest integer? 752 What is the third root of 202717 to the nearest integer? 59 What is the sixth root of 17556771 to the nearest integer? 16 What is the square root of 420960 to the nearest integer? 649 What is 2642523 to the power of 1/3, to the nearest integer? 138 What is 561672 to the power of 1/3, to the nearest integer? 83 What is the cube root of 1306802 to the nearest integer? 109 What is the cube root of 4360830 to the nearest integer? 163 What is the cube root of 2823540 to the nearest integer? 141 What is the cube root of 2274442 to the nearest integer? 132 What is 1525141 to the power of 1/2, to the nearest integer? 1235 What is 24209387 to the power of 1/2, to the nearest integer? 4920 What is the tenth root of 212460 to the nearest integer? 3 What is 1429179 to the power of 1/6, to the nearest integer? 11 What is the cube root of 11212853 to the nearest integer? 224 What is 6626818 to the power of 1/3, to the nearest integer? 188 What is 171143 to the power of 1/2, to the nearest integer? 414 What is 1707084 to the power of 1/7, to the nearest integer? 8 What is the seventh root of 148899 to the nearest integer? 5 What is 3246081 to the power of 1/2, to the nearest integer? 1802 What is the fifth root of 555440 to the nearest integer? 14 What is 16833037 to the power of 1/3, to the nearest integer? 256 What is 435931 to the power of 1/5, to the nearest integer? 13 What is 435448 to the power of 1/2, to the nearest integer? 660 What is the seventh root of 249824 to the nearest integer? 6 What is 1601284 to the power of 1/4, to the nearest integer? 36 What is the eighth root of 1175378 to the nearest integer? 6 What is 1044907 to the power of 1/6, to the nearest integer? 10 What is the seventh root of 11416817 to the nearest integer? 10 What is 15637393 to the power of 1/5, to the nearest integer? 27 What is 1474434 to the power of 1/5, to the nearest integer? 17 What is the square root of 2779790 to the nearest integer? 1667 What is the fifth root of 22890 to the nearest integer? 7 What is the square root of 245326 to the nearest integer? 495 What is 11651830 to the power of 1/4, to the nearest integer? 58 What is the square root of 490477 to the nearest integer? 700 What is 1821507 to the power of 1/3, to the nearest integer? 122 What is 300631 to the power of 1/3, to the nearest integer? 67 What is the seventh root of 150190 to the nearest integer? 5 What is 791375 to the power of 1/10, to the nearest integer? 4 What is 86694 to the power of 1/3, to the nearest integer? 44 What is 718484 to the power of 1/10, to the nearest integer? 4 What is 47185 to the power of 1/2, to the nearest integer? 217 What is the cube root of 1467848 to the nearest integer? 114 What is the cube root of 3275610 to the nearest integer? 149 What is 225720 to the power of 1/3, to the nearest integer? 61 What is 492468 to the power of 1/10, to the nearest integer? 4 What is the ninth root of 56913 to the nearest integer? 3 What is the fifth root of 20468256 to the nearest integer? 29 What is 2022241 to the power of 1/2, to the nearest integer? 1422 What is the cube root of 668504 to the nearest integer? 87 What is the square root of 9025273 to the nearest integer? 3004 What is 7646459 to the power of 1/3, to the nearest integer? 197 What is the fourth root of 892481 to the nearest integer? 31 What is 2729276 to the power of 1/8, to the nearest integer? 6 What is 9734020 to the power of 1/10, to the nearest integer? 5 What is 4917932 to the power of 1/5, to the nearest integer? 22 What is 1138780 to the power of 1/3, to the nearest integer? 104 What is the cube root of 438436 to the nearest integer? 76 What is 3575789 to the power of 1/3, to the nearest integer? 153 What is the cube root of 54567 to the nearest integer? 38 What is 314456 to the power of 1/2, to the nearest integer? 561 What is 30511195 to the power of 1/3, to the nearest integer? 312 What is 18246902 to the power of 1/6, to the nearest integer? 16 What is 14336673 to the power of 1/3, to the nearest integer? 243 What is 1765422 to the power of 1/4, to the nearest integer? 36 What is the third root of 1643176 to the nearest integer? 118 What is the square root of 6596941 to the nearest integer? 2568 What is the cube root of 3502937 to the nearest integer? 152 What is the cube root of 1392175 to the nearest integer? 112 What is the sixth root of 33245265 to the nearest integer? 18 What is 524125 to the power of 1/2, to the nearest integer? 724 What is 403426 to the power of 1/3, to the nearest integer? 74 What is 1801598 to the power of 1/9, to the nearest integer? 5 What is 1451489 to the power of 1/3, to the nearest integer? 113 What is the seventh root of 67948 to the nearest integer? 5 What is the cube root of 218578 to the nearest integer? 60 What is 228721 to the power of 1/2, to the nearest integer? 478 What is the sixth root of 8057669 to the nearest integer? 14 What is 1524289 to the power of 1/2, to the nearest integer? 1235 What is 12628968 to the power of 1/2, to the nearest integer? 3554 What is 9764413 to the power of 1/8, to the nearest integer? 7 What is 142578 to the power of 1/5, to the nearest integer? 11 What is the cube root of 805903 to the nearest integer? 93 What is the square root of 953096 to the nearest integer? 976 What is the sixth root of 83696 to the nearest integer? 7 What is 32017636 to the power of 1/5, to the nearest integer? 32 What is the square root of 16607356 to the nearest integer? 4075 What is the square root of 23885419 to the nearest integer? 4887 What is the cube root of 359756 to the nearest integer? 71 What is the square root of 23152 to the nearest integer? 152 What is 1883457 to the power of 1/4, to the nearest integer? 37 What is 3163719 to the power of 1/2, to the nearest integer? 1779 What is 162834 to the power of 1/3, to the nearest integer? 55 What is 546599 to the power of 1/8, to the nearest integer? 5 What is the third root of 117934 to the nearest integer? 49 What is the cube root of 368468 to the nearest integer? 72 What is the square root of 861805 to the nearest integer? 928 What is the square root of 1375532 to the nearest integer? 1173 What is 585132 to the power of 1/2, to the nearest integer? 765 What is the third root of 2345569 to the nearest integer? 133 What is 1056013 to the power of 1/5, to the nearest integer? 16 What is the cube root of 80083 to the nearest integer? 43 What is the square root of 10998809 to the nearest integer? 3316 What is the square root of 68479 to the nearest integer? 262 What is the fourth root of 3689111 to the nearest integer? 44 What is the square root of 1573088 to the nearest integer? 1254 What is 14551890 to the power of 1/7, to the nearest integer? 11 What is 804601 to the power of 1/2, to the nearest integer? 897 What is the third root of 308627 to the nearest integer? 68 What is 2382514 to the power of 1/2, to the nearest integer? 1544 What is the cube root of 475780 to the nearest integer? 78 What is 387007 to the power of 1/7, to the nearest integer? 6 What is the square root of 337358 to the nearest integer? 581 What is 9250349 to the power of 1/2, to the nearest integer? 3041 What is the cube root of 950413 to the nearest integer? 98 What is 2238361 to the power of 1/3, to the nearest integer? 131 What is the square root of 1177764 to the nearest integer? 1085 What is the cube root of 277817 to the nearest integer? 65 What is the eighth root of 1378513 to the nearest integer? 6 What is the square root of 2620447 to the nearest integer? 1619 What is the cube root of 922448 to the nearest integer? 97 What is the cube root of 3911371 to the nearest integer? 158 What is the sixth root of 151291 to the nearest integer? 7 What is the third root of 154713 to the nearest integer? 54 What is the square root of 23477135 to the nearest integer? 4845 What is 1274640 to the power of 1/2, to the nearest
{ "pile_set_name": "DM Mathematics" }
2 - -5)*11/(22/10). 15 What is the value of ((-8)/(-1))/(-1) + -8 + 28? 12 Calculate 4 + (196/36 + -6)*-9. 9 Evaluate ((-45)/75 + 115/150)/((-1)/(-40)). 20/3 Evaluate (-520)/(-50) - (18 + -7). -3/5 What is the value of 6/(-14)*(5332/93)/(-43)? 4/7 What is the value of (-6)/((400/(-5))/(-5))*-2? 3/4 ((-10)/15)/(24/108) -3 What is (-20)/90 + (49/882)/(2*-1)? -1/4 Evaluate (-11)/(-99)*(-5)/(650/90). -1/13 Calculate (-2)/(32/(-252)) - (315/28)/(-9). 17 Calculate (237/(-1580))/((-2)/(40/4)). 3/4 41 + -18*(-21)/378 + (-14 - -2) 30 What is the value of 8 + (-51376)/1118 - -38? 2/43 Calculate ((-36)/90*-12)/((-2)/15). -36 What is the value of 10 + (-265)/25 + 1? 2/5 ((-11)/(-44) - (-124)/16)*1/(-2) -4 Evaluate 70/(-45) + (-28)/(-126). -4/3 Evaluate 2/(-7) + (-5 - (-5590)/273 - 15). 4/21 Evaluate 228/300 + (-11)/(220/16). -1/25 What is ((-2580)/(-100) - 25)/(-1 + 11/5)? 2/3 Evaluate (-190)/304 + 965/(-280) + 4. -1/14 Evaluate -39*(-20)/(-210) + (-2)/7. -4 What is the value of ((-186)/(-217))/(48/364)? 13/2 What is 295/2125 + 32/(-544)? 2/25 Evaluate ((-7 - (5 + 3)) + 5)*(-24)/(-15). -16 (-12 - 10) + (-7 + 10 - -6) -13 (-10 - 3/((-18)/132)) + (-4)/1 8 Calculate -17 + (-14 + 22 - -22). 13 What is 9/(-2)*1/(-10) + 2124/(-8496)? 1/5 Calculate 9*2/24*17/(13209/(-56)). -2/37 Evaluate -8 + -2 + (-154)/(-84) + 70/(-12). -14 Evaluate (-16)/408 - ((-604)/(-102) + -6). 2/51 Calculate (-72)/162*(5/4 - 2). 1/3 Evaluate (-2 + 6 + 5)/(21/(-2)). -6/7 What is 11/(-55)*-5*3? 3 What is (-34)/36*(-345)/5865? 1/18 Calculate ((-5)/(-70)*(3 + 0))/((-1)/4). -6/7 What is 392/126 + (114/(-54) - -2)? 3 (8/(-14))/(23*108/414) -2/21 Evaluate ((-110)/(-33))/10*3. 1 Calculate -9 + 9 - 24/120. -1/5 What is the value of ((-8)/10)/(8/10*744/48)? -2/31 What is the value of ((-9)/((-36)/112))/(-10 + (8 - 0))? -14 What is (-7)/(-42) + 55/(-6)? -9 Calculate 2*207/(-92)*20/6. -15 What is 24/((-672)/(-340)) - 2/14? 12 What is the value of 147/294 + ((-756)/(-200))/(-9)? 2/25 (-18*1/(-4))/(9/(-6)) -3 What is the value of 12/(-9) + (20/18)/(17/204)? 12 (-918)/(-57) + (-84)/798 16 Calculate 264/(-19) - (93 - 107). 2/19 Evaluate (-2844)/1980 - (0 - (-8)/22). -9/5 What is the value of (-3 - -1) + 581/35 + 14/35? 15 What is the value of ((-1368)/1900)/(9/240) + 18? -6/5 Evaluate 1/9 - ((-1468)/396 + -45 + 49). -2/11 What is the value of (6/10)/(-3 - (-1104)/360)? 9 What is the value of 76/(-2)*((644/8)/23 - 3)? -19 What is -9 + (-585)/(-135) - (-2)/(-3)*2? -6 (-360)/(-280)*56/96 3/4 What is the value of (7/49 - 310/(-35)) + -4? 5 What is the value of -2 + (-135)/630*14*(0 - -3)? -11 Evaluate ((-4)/((-16)/(-22)) + -49 + 53)*-8. 12 Calculate 3/((-540)/(-16))*(-28 + 33). 4/9 (2/24)/(-9 - ((-1898)/16)/13) 2/3 100/(-9) - ((-3938)/(-198) - 20) -11 What is the value of (60/(-12))/((-100)/(-140))? -7 What is the value of (2/5)/((3/(-6))/((-105)/6))? 14 What is the value of 6*(-1)/(6/((-30)/(-5)))*2? -12 Calculate (-9)/378*-654 + -8 + 4/(-7). 7 (-17 - 1751/(-102))*20/35 2/21 What is -11 + 3 + 168/20? 2/5 What is (9126/(-270) + 33)/(36/(-10))? 2/9 (-973)/834*6/4 -7/4 Calculate (-275)/10*(6/36)/((-5)/(-6)). -11/2 Evaluate (-3 + 9/6)/(((-1633)/276)/(-71)). -18 What is ((-1)/4*(-10 + 0))/((-1190)/8568)? -18 What is (-91)/(-39)*-3 + (4 - (2 - -1))? -6 Calculate (-22)/8*3876/362406. -1/34 What is the value of 2/8 + 494/(-1729)? -1/28 What is the value of -11 - (1 - (8 + 26))? 22 (-115)/(-120)*-8 - (-8)/(-6) -9 Calculate ((-679)/105 - -7) + 54/(-45). -2/3 What is the value of -1*3 - (-2090)/(-475) - -5? -12/5 ((3 - 3)*1/(-2))/(-2) 0 What is the value of 4 + (-10)/270*114? -2/9 What is the value of (2 - 63/28)/1? -1/4 33/(-110) - 22/(-165) -1/6 What is the value of (-25)/(-35) - 8190/(-882)? 10 Calculate 28/168 + 24/(-36). -1/2 -6 + (-8 - 104)/(-16) 1 Calculate 53/106 - ((-12)/18)/((-56)/(-6)). 4/7 What is 108/20*110/66 + -7? 2 1*(16/(-28))/1 - 132/14 -10 ((-4)/66)/(30*(-2)/44) 2/45 (20/(-124))/(695/278) -2/31 Calculate 1848/(-66) - -45 - (-1 - -26). -8 Evaluate (3/60)/(((-30)/96)/((-10)/12)). 2/15 What is 1*(-3 - (-2 - (12 + -9)))? 2 What is the value of 24/36 + (-14)/9 - 5/45? -1 Evaluate 16/6*684/(-532)*(-28)/6. 16 Evaluate 14 + (-409)/30 + (2 - (-13)/(-6)). 1/5 (1 - 6)/1*57/285 + 29 28 What is the value of -22 - (-160)/60*(-18)/(-24)? -20 What is the value of ((-126)/(-36))/((-28)/16)? -2 (-102)/(-14) - (680/28 - 24) 7 What is (5 - (-490)/(-90))*24/64? -1/6 Calculate 10*6/15 + -10 + -2. -8 Evaluate (65/(-234))/((-2)/(-9)). -5/4 Evaluate 310/(-50) + 6*(-21)/(504/(-32)). 9/5 Calculate (24/42)/4*(-7)/10. -1/10 Evaluate (81/(-42) + (-550)/(-385))*-14. 7 Calculate (9/(-21))/(17/51). -9/7 (-6)/(-4)*192/(-36) - 9 -17 What is the value of 2842/116*(-1 + 5/35)? -21 Evaluate 2 - (10/(-15) - (-42)/9). -2 What is the value of (7 + 30/(-6))/(4 - 2)? 1 Calculate (50/(-90))/(5005/462). -2/39 Evaluate (-112)/32*416/182. -8 Calculate (336/392)/(27/630). 20 What is the value of (51/306)/(130/(-40))? -2/39 Evaluate (-4524)/180 + 19 + (-4)/(-30). -6 Evaluate (-4)/((4182/(-357))/((-1)/7 + 0)). -2/41 Evaluate 6/24*-10*63/(-35). 9/2 What is the value of (7 + (-160)/16)*(-8)/(-540)? -2/45 What is the value of (-3664)/1374 + (-50)/6? -11 (54/(-21) - 9) + 12 3/7 Evaluate (2/(-10))/((-490)/(-50) - 8). -1/9 ((-1974)/235)/((-40)/25) 21/4 (1/(-39))/((-435)/377) 1/45 Calculate ((-2)/8)/(((-152)/(-190))/(4 + -2)). -5/8 Evaluate 156/(-22)*-2 - (-142)/(-781). 14 Calculate 24021/2115 + -12 - 60/(-100). -2/47 Evaluate 708/615 + -1*(-132)/(-110). -2/41 What is 6*10*22/(-2310)? -4/7 Calculate 1/((-4)/(-12)*-1). -3 What is the value of 32 - (19551/1176 + 3/8)? 15 What is the value of ((-3)/(-84))/(62/496)? 2/7 Calculate (-185)/35 + (3 - 114/42) + 0. -5 Evaluate ((-16)/48)/((-8 + 5)/144). 16 Calculate (4785/2233)/((-6)/(-14)). 5 What is the value of -11 - (-980)/45 - 11? -2/9 What is the value of 47885/(-46315) + 2/59? -1 Calculate 775/150 - (-2)/(-12). 5 Evaluate -2 + (10 - (-279)/(-36)) + (-162)/8. -20 56/(-68)*442/(-260) 7/5 Evaluate 4/68 - 387*32/2448. -5 Calculate 6 - ((-26)/(-91))/((-114)/(-2352)). 2/19 Calculate ((-11)/((-33)/3))/((-372)/54 + 7). 9 Calculate (87/(-15) + 1)/(1/((-40)/12)). 16 What is the value of 2*6 + 1 - (-1122 - -1126)? 9 (-1991)/(-543) - 1/(-3) 4 What is ((-6)/(-14) - 1776/224)/(5/(-10))? 15 Evaluate 33/(-165) + -6 + 7. 4/5 Evaluate 12/(-102) - 771*(-1)/51. 15 Calculate -1 - 325/(-35) - (3 - (-57)/(-21)). 8 -109 - -119 - 96/10 2/5 What is -2 + -1 + 3/4 + 245/20? 10 What is (-1252)/939 - 50/(-6)? 7 What is (-3)/(18/4) - (399 - 400)? 1/3 (1/(-8))/(340/(-1088)) - (-78)/(-70) -5/7 1744/(-48) + 20 - (-2 + (-16)/(-6)) -17 Calculate (56*50/7000)/(1 + (-68)/50). -10/9 What is the value of (1/(-14))/((-35)/(-735))? -3/2 Evaluate (-4)/(-14)*(-21)/3. -2 Evaluate ((-45)/(-21))/(2598/(-6062)). -5 Evaluate ((-1134)/(-4032))/(((-9)/21)/(8/(-14))). 3/8 Calculate 1 + 0 - (10 - -5 - (-6)/(-2)). -11 -3*(-32)/19 - (-49)/(-931) 5 What is (7 - (23 - 13))/(2/4) - -27? 21 Calculate ((3 - 3) + 7)*26/(-156). -7/6 Calculate 5*(-1 + -3)*(15 + (-713)/46). 10 Evaluate (6/(-8) + 1)*(-2 + (-23 - 19)). -11 Evaluate 10/(-175)*(-35)/(-14)*-3. 3/7 What is the value of (1164/485)/((-18)/(-165))? 22 What is 450/(-6090) - (-10)/(-145)? -1/7 (1215/3159)/(1 - 11/13) - 2 1/2 ((-1)/(-3))/((-10)/75)*24/(-270) 2/9 Calculate (145 + -143)*(12 + (-20)/(-5)). 32 (-39)/(-12 + (-273)/(-21)) -39 (0/(-1) - 22) + 27/((-702)/(-130)) -17 100/(-60)*7/((-7)/3) 5 ((-6)/(-96))/(13/1352) 13/2 (-12)/(-56) - 2212/1176 -5/3 What is -9 + (630/(-945) - 8/6)? -11 What is the value of (-69)/180 - (5*(-6)/120 - 0)? -2/15 (28 + (-584)/20)*(-10)/26 6/13 What is the value of (2/(8/(-9)))/(8 + (-1885)/232)? 18 Calculate -14*(-4)/32*(-5 + 760/168). -5/6 Calculate (159/(-265))/((-20)/6 + 3). 9/5 (3/(-9))/((-10 + 5)/(-75)) + -18 -23 Evaluate (100/(-60))/(70/(-28)). 2/3 Evaluate (15/6 - 3)*(-2 + -10)/24. 1/4 Calculate 152/(-6)*9/12. -19 Calculate -20 + 7 + 0 + (18 + -36 - -16). -15 Calculate (1385 + -1402)*(1 - (1 - 1)). -17 Calculate (-3)/18 + (-65)/78. -1 Calculate 124/(-24) + (-55)/66. -6 Calculate (-153)/85 + (-121)/55. -4 Calculate ((-124)/3)/(-2)*(3910/(-92) - -41). -31 Calculate (-7)/24 - 40/16*12/80. -2/3 What is 32/(-210) + (-260)/(-1300)? 1/21 Evaluate (-10)/(-16)*(4/15)/(16/80). 5/6
{ "pile_set_name": "DM Mathematics" }
e w(l). 2 Let d(m) = -m**2 - 2*m + 1. Let i(h) = -10*h + 363. Let v be i(36). Suppose -14*a + 11 = -v. Calculate d(a). -2 Let p = 522 + -522. Suppose -y - 4*f + 16 = p, -f - 18 = 2*y - 3*f. Let s(n) = -2*n**2 - n + 5. What is s(y)? -23 Let c(i) be the first derivative of -2*i + 54 + 5/2*i**2. Give c(2). 8 Let l = 20 + -8. Let p(d) = 7*d**3 + 9*d**2 + 10. Let s(z) = 2*z**3 - z**2 + 3*z + 4. Let f(c) = p(c) - 4*s(c). What is f(l)? -6 Let m(l) = -6*l**2 - 209*l + 32. Let c = 6015 + -6050. Calculate m(c). -3 Let s(c) = c**2 - 12*c + 5. Suppose 23*n - 9*n = 266. Suppose -n*q - 10 = -20*q. Give s(q). -15 Let z(t) = 3*t - 5. Let k(r) = -r**3 + 20*r**2 - 36*r - 9. Let g be k(18). What is z(g)? -32 Let f(d) = 2*d + 13. Let m(t) = 7 + 35*t**2 - 38*t**2 + 2*t + t**3 + t - 2*t**3. Let u be m(-2). What is f(u)? 7 Let n(c) = c**2 + 59*c + 68. Let z(w) = -w**2 - 11*w + 1. Let u(q) = -n(q) - 2*z(q). Determine u(-2). 8 Let v be ((-1)/11)/((-25)/((-2475)/(-54))). Let k(c) be the second derivative of v*c**3 + 0 + 1/20*c**5 + 0*c**4 + 7*c**2 + 10*c. What is k(0)? 14 Let q(h) be the third derivative of h**4/12 + 5*h**3/6 - 15*h**2. Let y be q(0). Let i(g) = -129*g**2 - y - g + g**3 + 129*g**2. Determine i(0). -5 Let l(q) = q**3 + 8*q**2 + 7. Let x = -414 - -774. Suppose -40*b = 5*b + x. What is l(b)? 7 Let n(v) = 2*v**3 - 6*v**2 - 36*v - 15. Let s(i) = -i**3 + 6*i**2 + 27*i + 15. Let r(h) = -2*n(h) - 3*s(h). What is r(-7)? 97 Suppose 5*w + 20 = 0, 3*q - 4 + 1 = -3*w. Let a(f) = 8 + 4*f + 2*f - 5*f - 12 + q. Suppose 0 = -j - 2*j + 12. Calculate a(j). 5 Let l(f) = -13*f**3 - 26*f**2 - 117*f - 67. Let w(z) = -36*z**3 - 80*z**2 - 352*z - 197. Let r(y) = -11*l(y) + 4*w(y). Give r(-30). -21 Let u = -4 + 5. Let o(g) = -15*g**3 - 3*g**2 - 3*g + 4. Let v(f) = 16*f**3 + 4*f**2 + 4*f - 5. Let n = 184 - 188. Let k(t) = n*o(t) - 3*v(t). What is k(u)? 11 Let x = 154 + -160. Let h(m) = -m**3 - 2. Let r(y) = 7*y**3 - 10*y**2 - y + 26. Let s(t) = x*h(t) - r(t). Calculate s(10). -4 Suppose 8 = -11*p + 52. Suppose a - 5 = -p*h, -2 = -h - 3*h - 2*a. Let j(v) = -3*v**2 + 2*v**2 - v**3 - 7*v - 5*v**2 + 4 - 2*v**h. Determine j(-7). 4 Let y = 426 + -405. Suppose 3*f - y = m, -4*m + f + 22 - 51 = 0. Let c(q) = -2*q - 15. What is c(m)? -3 Let n(v) = v**2 - v - 13. Let u(y) = -y**2 - 7*y + 18. Let h be u(2). What is n(h)? -13 Let w(h) = 7 + 7 + 13 - h**3 - 5*h**2 - 25 - 3*h. Let p be (-10)/(2 - 1 - 3). Suppose 2*l + p = 3*v + 2, 2*v = l + 1. Give w(l). -7 Suppose 0 = a - 16*a + 15. Suppose 10*c + a - 21 = 0. Suppose -c*h - 3*h - 15 = 0, 0 = 2*o - 3*h + 3. Let l(k) = -k**2 - 5*k - 6. Give l(o). -12 Let k(w) = -3*w**2 - 11*w + 7. Suppose 0 = -24*i - 125 + 5. Give k(i). -13 Let w(x) = -x**2 + 3*x - 1. Let v(j) = j**2 + j + 3. Let r be v(6). Suppose -8*g + 11*g - r = 0. Let l be 2/(-2 + g/6). Give w(l). -5 Let j(r) = -r**2 - 24*r + 32. Let f = -8446 + 8421. Calculate j(f). 7 Let t(h) = 0*h**2 - 5*h + h - 8*h - 12 + 5*h**2 + 3*h. Let o(b) = 8*b**2 - 19*b - 26. Let m(p) = -3*o(p) + 5*t(p). What is m(-9)? -9 Let u = -42 - -40. Let t(v) be the first derivative of 1/2*v**2 + 20 + 4*v. What is t(u)? 2 Let x(b) = 7*b - 39. Let r(l) = 24*l - 123. Let m(y) = 2*r(y) - 7*x(y). Determine m(-8). 35 Let i(x) = -4*x**2 - x - 1. Suppose -7*w - 2*w - 9 = 0. Let c be i(w). Let s(g) = -g. Let j(l) = -l**2 - 8*l + 2. Let m(z) = j(z) - 4*s(z). Give m(c). 2 Let j be -3*3/7 - 6/(-21). Let n(d) be the first derivative of d**2/2 + d + 6. Let m(b) = 7*b + 4. Let o(t) = j*m(t) + 3*n(t). What is o(4)? -17 Let p(w) = 20*w**2 - 6*w - 13. Let t(o) = -23*o**2 + 7*o + 16. Let h(l) = -5*p(l) - 4*t(l). Give h(0). 1 Let v(q) = 7*q**3 - q**2 - q + 1. Suppose p - 2*p + 8 = 2*u, p - 14 = -3*u. Suppose u*y + 24 - 6 = 0. Let o be (2/y)/(2/(-3)). What is v(o)? 6 Let r be (-8)/(-16) - 39/(-6). Let d(q) = -q**2 - 11*q + 6. Let w(f) = -2*f**2 - 13*f + 6. Let x(p) = 3*d(p) - 2*w(p). Give x(r). 6 Let l(h) = 4*h**3 + 4*h**2 - 2. Let q(u) = 937*u - 5624. Let s be q(6). What is l(s)? -18 Let i(l) = -13*l**3 + 10*l**2 - 23*l - 85. Let d(t) = -46*t**3 + 30*t**2 - 71*t - 253. Let k(r) = -2*d(r) + 7*i(r). Give k(-11). -1 Let s(y) = 133*y + 37. Let l(t) = -176*t - 36. Let a(r) = -3*l(r) - 4*s(r). Give a(-8). -8 Suppose -2*v = 83*v - 425. Let b(p) be the third derivative of 0 + 0*p**4 - 1/120*p**6 - 1/2*p**3 + 35*p**2 + 1/20*p**v + 0*p. Calculate b(3). -3 Let m(z) = -5*z**3 - 13*z**2 - 6*z + 3. Let i(s) = -7*s**3 - 16*s**2 - 7*s + 4. Let r(l) = 4*i(l) - 5*m(l). Calculate r(-2). 25 Let o be (-2)/(-9) - (-25)/9. Suppose -n + 3*s = 2, -o*n - 6*s + s = -8. Let t(m) = n + 1 + 3*m + m - 3*m. Give t(3). 5 Suppose 16*z - 33*z - 6 = -40. Let p(x) be the first derivative of 8 - z*x - 3/2*x**2. Calculate p(5). -17 Suppose 4*j - 28 = 4*g, 0 = -2*g - 15*j + 11*j + 22. Let f(c) = 74*c - 1. Give f(g). -75 Suppose -5 = -3*i - 2*k, -k + 6 = 4*i + 2*k. Let l(p) = 11*p + 2 - i - 2*p - 6*p + 7*p. Determine l(-1). -11 Suppose -2*f + c = -71, -4*f - 91 + 268 = 5*c. Let y = -39 + f. Let x(d) = -1. Let w(k) = 2*k**2 - 4. Let s(h) = y*w(h) + 5*x(h). Determine s(-2). -9 Let c(m) = 7*m + 4. Let g(s) = -7*s - 3. Let k(p) = -5*c(p) - 6*g(p). Suppose -74 = h - 76. Let o be 10*5/150*3*h. What is k(o)? 12 Let k(t) = -84*t - t**2 - 2*t**2 + 648 + 6*t**2 - 643. Determine k(28). 5 Let f(k) = 5*k**3 + 6*k - 13. Let a be (5 + 81/(-18))/(1/26). Let v(m) = -11*m**3 - 13*m + 28. Let u(p) = a*f(p) + 6*v(p). Determine u(0). -1 Let j be (1 - -1)*130/52. Suppose 24*x - 29*x - j = 0. Let r(m) = -m**3 - m - 2. Give r(x). 0 Let y(t) = 36*t + 6. Suppose -2*r - 12 = 3*p, -p + r - 14 = -15. Give y(p). -66 Let m(o) = -14*o + 38*o + 5*o**2 + 14 + 22*o**3 - 15 - 2*o**3 - 21*o. Determine m(-1). -19 Let h(v) = v + 1. Suppose 7*m + 240 = -418. Let t = -75 - m. Suppose -19 = 5*i - t. Determine h(i). 1 Let x(b) = -2*b**3 + 2*b**2 + 5*b - 4. Let f(p) be the first derivative of -p**2/2 - 19*p - 234. Let j be f(-22). Determine x(j). -25 Let v be 0/((-14)/7 - -3). Suppose -5*d + 15 = v, 4*j + 5*d - 36 = j. Let c(t) be the first derivative of 3*t**2/2 - 6*t - 2. Give c(j). 15 Let q(r) = r**3 - 4*r - 3. Let c be q(-2). Let i(b) = -2*b - 2. Let k(d) be the first derivative of d**2 + 3*d + 215. Let u(z) = c*k(z) - 4*i(z). What is u(2)? 3 Let l(y) = -y**3 + 13. Suppose -6 = 520*n - 523*n. Suppose 20 = -3*g + 4*q, 0 = -25*g + 23*g + n*q - 10. Calculate l(g). 13 Let x(o) = -7*o + 153. Let d = -20138 - -20161. What is x(d)? -8 Let n(b) = 4*b + 3. Let t(o) = -20*o - 16. Let f(j) = 16*n(j) + 3*t(j). Let x be (-71 - -69)*(-2)/1. What is f(x)? 16 Let i(p) = -2*p**2 + 39*p + 61. Suppose -3556*t - 56 = -3558*t - 14. Determine i(t). -2 Let b = -705 - -699. Let s(h) = 2*h + 15. Determine s(b). 3 Let n be (572/273 - -3) + (-4)/42. Let c(b) = -b**2 + 9*b - 5. What is c(n)? 15 Let v(z) = -612*z - 618*z - 632*z + 2*z**2 + 1845*z - 6. Calculate v(10). 24 Suppose -4*s - 2*q + 0 + 4 = 0, -5*s = -3*q - 5. Suppose 5*x - s - 14 = 0. Suppose -x - 6 = 3*z. Let v(w) = w**3 + 2*w**2 - 3*w - 3. Determine v(z). -3 Let a(h) = h**2 - 9*h. Let z be (-118)/(-29) + (-31)/((-3596)/(-8)). What is a(z)? -20 Let z(t) = 24*t**2 + 4*t + 14. Let n(r) = 23*r**2 + 3*r + 14. Let k(c) = 7*n(c) - 6*z(c). Let b(l) = 8*l**2 - 2*l + 7. Let d(q) = 13*b(q) - 6*k(q). Give d(5). 17 Suppose 0 = 5*s + 51 - 1. Let y be (-24)/s + (-4)/10. Let f(v) = 0 - 93*v**2 - 2*v - v**3 + 96*v**y - 1. Give f(3). -7 Let l(c) = -17*c - 20*c + 41*c + 3. Let d(k) = -k. Let a(t) = 9*t - 8. Let i be a(1). Let p(g) = i*l(g) + 6*d(g). What is p(-3)? 9 Let j(z) = z**2 + 1. Let m be (-6)/8*((-28)/(-4) - 43). Suppose m*s + 105 = 6*s. Give j(s). 26 Let o(i) = -3*i + 6. Let b(h) = -132 + 258 - 127 + h. Let u(r) = -4*b(r) - o(r). Let p be 3 - (12 + 2)/2. Give u(p). 2 Suppose -2*w - 6 = -2*t, -2*w + 19 = 38*t - 35*t. Let z(n) = -4 + 6 + 0 - 4*n + 4*n**2. Determine z(w). 10 Let s = 19 - 12. Let b(z) = s*z - z**3 - 45 + 48 - 3*z**2 - 4*z**2. Give b(-8). 11 Let f(b) = 5*b + 1. Let j(n) = 5*n. Let m(t) = -4*f(t) + 5*j(t). Let o(d) = 17*d - 218. Let z be o(13). Give m(z). 11 Let h be -2*(-1 + 0) - 5. Let q(y) = y**3 + 5*y**2 + 4*y - 4. Let r be q(h). Let z be (11 + -6)*2/5*r. Let u(w) = w**3 - 4*w**2 - 3*w + 6. What is u(z)? -6 Let v = 7 + -5. Suppose 0 = -4*d, 2*d - 12 = -v*u - 0*u. Let p(c) = -
{ "pile_set_name": "DM Mathematics" }
p - x - 5. Solve 2*t + p*t + 4 = 0 for t. -2 Suppose 3*h = 6, -2*a = h - 0*h - 4. Let x = 5 + a. Suppose 5*v - x - 16 = -4*l, 5*l = 15. Solve 15 = -v*c - 3*c for c. -3 Let t be 23 - (7 - 3 - 1). Solve 2*p + 3*p = -t for p. -4 Let a be (-8)/(-20) + (-26)/(-10). Solve 13 + 2 = a*j for j. 5 Let j = -2 - -7. Suppose -j*m = -m - 20. Solve m = i + 2 for i. 3 Let x(o) = o**3 - 1 + 13 - 5*o**2 - 6 - 5*o - 3. Let z be x(6). Solve 0 = 3*p + z for p. -3 Suppose 2*u + 2*u = 20. Suppose 0 = -i + 3*t + 4, -15 - 5 = -u*i - 4*t. Suppose -3*h + 2 = -i. Solve 0*g + g = -h for g. -2 Let g = -9 + 11. Solve 0 = -3*r + g*r - 2 for r. -2 Suppose 0 = -0*h - h. Let t(c) = -2*c + h*c + 0 - 7. Let w be t(-5). Solve -g + 5 = w for g. 2 Let i(p) = -4*p**2 - 18*p + 6. Let c(h) = h**2 + 6*h - 2. Let k(w) = 7*c(w) + 2*i(w). Let g be 5/(-3 + 2 - -2). Let n be k(g). Solve -12 = -n*x - x for x. 3 Let i = -3 + 6. Suppose -i*p = -3*x + 15, 2*x + 3*p + 3 + 2 = 0. Solve 4*b - x*b + 8 = 0 for b. -4 Let r(q) = 16*q - 5. Let i be r(2). Suppose -3*m = 5*x - 35, 2*m - 3*m + 3*x = 7. Solve i = m*k + 7 for k. 4 Let f be -1 + 14/18 - (-11)/9. Solve -2*x + f = -3 for x. 2 Suppose 0 = 3*n + 2 - 11. Let z be (-3 + -1)/(-1 - 1). Suppose z*s = 8 + 48. Solve s = 5*q + n for q. 5 Suppose 4*r - 16 = v - 6*v, 0 = -4*v + 4*r + 20. Solve -1 = -v*l + 7 for l. 2 Let u(o) = o - 8. Let s be u(5). Let v be (-2)/(-2) + (-3)/s. Let w be (-1 + 5/v)*2. Solve f - w*f = 8 for f. -4 Let q = 1 + 3. Let o(u) = u**2 - 5*u + 4. Let v be o(q). Solve v*c = 3*c for c. 0 Let q be (8/(-3))/1*(-15)/4. Solve -5*z - q + 5 = 0 for z. -1 Suppose -2*q = -1 + 13. Let c = q - -9. Solve -c*w - 2 = 10 for w. -4 Let j(p) = p**3 - 8*p**2 + 7*p + 4. Let b be j(7). Suppose 0 = b*g, -h = 6*g - 2*g. Suppose h*f - 24 = -2*f. Solve -3*z - f + 0 = 0 for z. -4 Suppose 12*m = 6*m. Solve q + 4 = -m for q. -4 Suppose 0 = 2*w - w - 18. Suppose -4*f - 2*o = 0, f - 2*o = -4*f + w. Solve 0*j - j = f for j. -2 Suppose n - 60 = -3*n. Suppose -3*k + 60 = n. Solve 0 = -0*i - 3*i + k for i. 5 Let v = -13 - -25. Suppose a - 17 = -5*s - 0*a, 2*s = 3*a + 17. Solve s*b = b + v for b. 4 Let y(g) = 2*g - 1. Let l be y(1). Let z be (0/l)/(-3 + 2). Solve -v - 2 - 1 = z for v. -3 Suppose 3*m = 5*m - 4. Solve 7*k = m*k for k. 0 Suppose 0*s = s - 5. Suppose -3*k - c - 2*c + 9 = 0, k + s*c = 15. Solve -3*v + 0*v + 15 = k for v. 5 Suppose -5*c + 85 + 10 = 0. Suppose c = 3*j - 35. Suppose -j = -2*o - 0. Solve 5*d + o = -16 for d. -5 Let a = 12 - 8. Let o(l) = -l**2 - 12*l - 7. Let v be o(-9). Solve -a*k - k = -v for k. 4 Suppose -3*l - 5 = 2*u, 0 = -4*u - 4*l - 3 - 1. Let j = -16 - -9. Let h = -4 - j. Solve -u*y = -h*y + 2 for y. 2 Let z be (2 - 0 - 3)*(8 - 12). Solve 2*g = z*g - 8 for g. 4 Let q be 13/39*(1 - 1). Solve a + 1 + 2 = q for a. -3 Let x(j) = j**3 + 9*j**2 - 22*j + 3. Let p be x(-11). Solve -2*f = p*f + 20 for f. -4 Let y(p) = -p**3 + 9*p**2 - 12*p - 8. Let d be y(7). Solve d*r - 8 = 10*r for r. -2 Let d be -4 + 2 + (47 - 0). Suppose 2*s = -4*x + d + 41, -31 = -2*x + 3*s. Solve 4*z - x = -z for z. 4 Let p = -13 - -41. Let n = p + -28. Solve 9 = -3*f - n for f. -3 Let o(a) = a**2 - 9*a. Let u = 7 - -2. Let j be o(u). Let k = j + 2. Solve k*w = -w - 6 for w. -2 Let r(f) = f**2 + 2*f. Let c be r(-3). Solve c*z - 5 = -2*z for z. 1 Let w = 19 + -10. Suppose -3*x + 4*c = -3 - w, 5*x = 3*c + 31. Let f(h) = h**3 - 3*h**2 - 2*h - 5. Let u be f(4). Solve -x = -u*j + 5*j for j. -4 Let w = 1 + -8. Let i = -10 - w. Let m be ((-6)/10)/(i/15). Solve -t + 0 = m for t. -3 Let w = -21 - -16. Let s = 5 + w. Solve f - 2*f = s for f. 0 Let y = 93 + -88. Solve 2*k - y*k - 3 = 0 for k. -1 Let u(y) = y**3 - 13*y**2 + 26*y - 24. Let f be u(11). Solve 3*v = -f + 5 for v. -5 Let o(f) = 2*f + 2. Let k = 10 + -8. Let z be o(k). Solve 0 = -3*w - z for w. -2 Let t = 29 + -19. Suppose -4*y = -5*y + 40. Let n be y/18 + t/(-45). Solve 2*q + 16 = -n*q for q. -4 Let o(g) = -g**2 - 4*g + 7. Let a be (3*1)/((-3)/(-11)). Suppose -2*l + 1 = 4*s + a, -3*s = -5*l + 40. Let v be o(s). Solve v*j = 4*j - 10 for j. 5 Suppose -4*z - z = 0. Suppose 2*v + z*v = 0. Solve v = -4*r - 0*r for r. 0 Suppose -2*b = -4*b + 4. Let l be (3/b)/((-18)/(-24)). Solve 4*o - 2 = l*o for o. 1 Let n(d) = -d + 7. Let q be n(-6). Let o = -11 + q. Solve o = 4*u - 2*u for u. 1 Suppose -v - 5 = -2*v. Suppose 0 = v*a - 2*a. Solve a*w = 5*w for w. 0 Let t = 55 - 43. Solve -2*j = -6*j - t for j. -3 Suppose -2*p + 7*p + 35 = 0. Let c = p - -7. Solve -3*l + 6*l = c for l. 0 Let p = -35 + 61. Suppose -q - q + p = 0. Let s(d) = 2*d**2 - 8*d + 2. Let t be s(4). Solve -5*v - t = q for v. -3 Suppose -t - 2*t = -30. Let o be 11/2 + (-5)/t. Solve 0 = 3*h + 2 - o for h. 1 Suppose -4 - 2 = -3*p. Suppose -p*s + 0*s = -18. Let y = -3 + s. Solve -f - f = y for f. -3 Let a = 0 - -2. Let l = 0 + a. Suppose 5*j = -4*s + 24, s + 0*s = 1. Solve 0 = -j*h + l*h - 6 for h. -3 Suppose t = 3*t. Let l be 3/(-9)*1*t. Suppose 4*q - 3*z = 0, -4*z = 3*q - l*z. Solve q = -h - 1 for h. -1 Let j be (-3 - 3/(-6))*-2. Let y(c) = c**3 - 6*c**2 + 6*c + 5. Let z be y(j). Solve z = 3*v + 4 for v. 2 Let z(k) be the third derivative of -k**5/60 - 3*k**4/8 - 2*k**3/3 + 4*k**2. Let x be z(-8). Solve x*p = -0*p + 16 for p. 4 Let q = 31 + -26. Solve -q*s - 4 = -4*s for s. -4 Let u(z) = z**2 + 11*z + 3. Let q be u(-12). Let y = q + -13. Solve 0*s = -y*s + 8 for s. 4 Let j(s) = -s**2 + 3*s + 3. Let i be j(5). Let y = i - -9. Solve 6*l - y*l = 0 for l. 0 Let a(s) be the first derivative of 3*s**2/2 - s - 1. Let x be a(2). Solve 2*l + 1 = -x for l. -3 Let t = 19 + -19. Solve -5*u + 3*u = t for u. 0 Suppose 12 = -2*b + 5*b. Let m = 2 - b. Let a = 6 + m. Solve 0*v - 20 = -a*v for v. 5 Suppose -20 = -4*r - 0. Solve 0*t - 10 = -r*t for t. 2 Let c = 2 + -2. Suppose -b + 2*q - 1 = 0, -3*q + 3 = -c*b - b. Solve 0 = -b*i + 2*i for i. 0 Let q be 2/5 + (-36)/(-10). Suppose 5*h + 6 = -q*r, h + 3*r + 1 = 2. Let k = 4 + h. Solve -k = -f + 2 for f. 4 Let k = 11 + -15. Suppose -3*m + 10 + 17 = 0. Let z = k + m. Solve 0 = -3*u + z + 4 for u. 3 Suppose 4*q + 36 + 16 = -4*d, 0 = 5*q + d + 49. Let a(t) = t + 17. Let f be a(q). Solve 2*r = 4*r - f for r. 4 Let i be -2*(3 + (-4)/1). Suppose -i*h + 9 = -5. Solve -h = -t - 5 for t. 2 Let v(u) = u + 2. Let k be v(-1). Solve c - k - 3 = 0 for c. 4 Let f(k) = 3*k + 15. Let l be f(-3). Solve 0 = 2*r - l - 2 for r. 4 Let g(m) = m**3 + 6*m**2 + 4*m. Let b be g(-5). Solve 5 - 10 = b*i for i. -1 Suppose 48 = 4*m - 2*i, -5*m - 2*i = -0*m - 60. Suppose -22*g - m = -24*g. Solve 4*l = g*l - 4 for l. 2 Let x(j) = -j**2 + 5*j + 1. Let v be x(4). Solve 0*p + v = p for p. 5 Suppose -s - 2*x = x - 7, x = 4*s - 2. Suppose -m - 15 = 2*o, 0 = 3*m - 2 - s. Let a(d) = -2*d - 8. Let k be a(o). Solve -5*y + 12 = -k for y. 4 Let o(p) = -p - 3. Let i be o(0). Let t = 5 + i. Let b be 6/12*0/1. Solve -t*n + b*n + 2 = 0 for n. 1 Let b be (-3)/2 + 159/6. Solve y = 6*y - b for y. 5 Suppose -28*f = -31*f + 9. Solve 10 = -f*m + m for m. -5 Let n = -2 - -4. Suppose n*a = -3*a - 10. Let z = a + 5. Solve -z*d - 5 - 7 = 0 for d. -4 Let v be (5 - (-4 - -3)) + -4. Solve 0 = -m + v - 5 for m. -3 Suppose 3*b - 2*l - 4 = 0, 4 = 5*b - l - 12. Suppose 5*g = 4*r - 18, 6 = -4*r + b*g + 22. Solve x - r + 0 = 0 for x. 2 Let m be (0 + 6)*(-2)/(-3). Let j(h) be the second derivative of h**4/12 - h**3 + 4*h**2 - 3*h. Let q be j(6). Solve -q = -4*p + m for p. 3 Let c be 4/((-6)/(-2) + -2). Suppose c*b - 48 = -4*w, -2*b = -b + 4*w - 21. Solve -6*p + 3*p + b = 0 for p. 3 Suppose -4*f = -0*f. Suppose 0 = -2*l - f + 6. Suppose 0 = -4*d + 3*m + m, 2*d - 35 = -5*m. Solve l*a - d + 17 = 0 for a. -4 Suppose -14 = -2*l + 5*y + 4, 4*y = 4*l - 24. Suppose -s - s = -d - 21, -l*s + 60 = 4*d. Suppose s - 5 = a. Solve 0 = a*b - 2*b for b. 0 Suppose -2*f + 12 = 2*f. Suppose f*b = -2 + 14. Suppose b*s - 24 = i, i = -s + 1 + 5. Solve -4*o = -s*o for o. 0 Suppose 8*n - 13*n = -20. Solve -11 = n*k + 9 for k. -5 Suppose 0 = 5*h - h. Solve h = -2*z - 2 + 10 for z. 4 Let x(z) = z**3 + 6*z**2 + 5. Let j be x(-6). Suppose 4*w = 5*f - 4, 3*f + 16 = 2*f + 5*w. Solve 0 = -f*i - 1 + j for i. 1 Let i(r) = -r**2 - 5*r + 6. Let l be i(-6). Solve l = -3*y + 4*y for y. 0 Let v(j) be the second derivative of 0 + 1/20*j**5 - 1/3
{ "pile_set_name": "DM Mathematics" }
ounded to five dps? 0.00009 What is 0.33076 rounded to 2 decimal places? 0.33 Round 0.149312 to 3 dps. 0.149 What is 202.63 rounded to the nearest integer? 203 What is 0.00030773 rounded to five decimal places? 0.00031 What is 0.00001195 rounded to 6 dps? 0.000012 What is -14.93 rounded to one dp? -14.9 Round 417500 to the nearest 10000. 420000 Round 292 to the nearest 100. 300 Round -0.00008437 to six dps. -0.000084 What is 10927100 rounded to the nearest 10000? 10930000 What is 0.116824 rounded to 2 dps? 0.12 What is -0.28625 rounded to 3 decimal places? -0.286 What is 12.555 rounded to 0 decimal places? 13 Round -0.0000002011 to 7 decimal places. -0.0000002 What is -0.0000002706 rounded to 7 decimal places? -0.0000003 Round -245773000 to the nearest 1000000. -246000000 What is -39010000 rounded to the nearest one million? -39000000 What is -0.0001073 rounded to four decimal places? -0.0001 Round -0.70063 to 2 dps. -0.7 Round 2772 to the nearest one hundred. 2800 What is 335.6 rounded to the nearest ten? 340 Round 0.464 to 2 decimal places. 0.46 Round -90.74 to the nearest 10. -90 What is -38.07 rounded to the nearest 10? -40 What is 0.00057483 rounded to six decimal places? 0.000575 Round -22.968 to one dp. -23 Round 15486 to the nearest one hundred. 15500 Round -0.00001623 to 5 decimal places. -0.00002 What is 21.19 rounded to zero decimal places? 21 What is -0.084 rounded to 2 dps? -0.08 What is -0.000002263 rounded to seven decimal places? -0.0000023 Round 2014 to the nearest 100. 2000 Round -4724.96 to the nearest 10. -4720 Round -0.0111194 to five decimal places. -0.01112 Round -107.627 to the nearest integer. -108 Round 302850 to the nearest one thousand. 303000 What is -0.0003481 rounded to 5 decimal places? -0.00035 Round -90512 to the nearest one thousand. -91000 What is 280.75 rounded to the nearest integer? 281 What is -0.05011 rounded to 1 decimal place? -0.1 What is -9.5807 rounded to 1 decimal place? -9.6 Round -0.00001438 to six decimal places. -0.000014 What is -0.0000000134 rounded to 7 decimal places? 0 Round 4575900 to the nearest one hundred thousand. 4600000 What is 0.00000936 rounded to 7 decimal places? 0.0000094 Round 4500 to the nearest one hundred. 4500 What is 0.000009856 rounded to 6 dps? 0.00001 Round -36.61 to the nearest integer. -37 Round 0.0000247874 to 6 dps. 0.000025 Round -77.1 to the nearest 10. -80 Round 0.00013488 to five dps. 0.00013 Round -0.068 to three dps. -0.068 Round 103.444 to the nearest integer. 103 Round -211.267 to the nearest ten. -210 Round -24970 to the nearest 1000. -25000 What is 457960 rounded to the nearest 100000? 500000 Round -0.01408 to 4 decimal places. -0.0141 Round -264100 to the nearest ten thousand. -260000 What is 21258 rounded to the nearest 10000? 20000 What is -0.000121999 rounded to 6 dps? -0.000122 Round 7760000 to the nearest one million. 8000000 Round 2.59 to 1 decimal place. 2.6 What is -0.0944 rounded to two dps? -0.09 Round 813.42 to zero decimal places. 813 What is 0.000001636 rounded to seven decimal places? 0.0000016 Round -0.00005093 to six dps. -0.000051 Round -6850.4 to the nearest ten. -6850 What is 40.29 rounded to the nearest ten? 40 Round -214 to the nearest one hundred. -200 What is 14584 rounded to the nearest 1000? 15000 Round -772110000 to the nearest one million. -772000000 What is -0.000007173 rounded to 7 decimal places? -0.0000072 What is -880500 rounded to the nearest ten thousand? -880000 Round -117.8 to the nearest one hundred. -100 Round 0.000019081 to 6 dps. 0.000019 What is -0.000000349 rounded to 7 dps? -0.0000003 What is -93.06 rounded to the nearest integer? -93 Round 230600 to the nearest one hundred thousand. 200000 What is 0.001132 rounded to 5 decimal places? 0.00113 What is 137200 rounded to the nearest 10000? 140000 Round 109000 to the nearest ten thousand. 110000 What is 0.000000655 rounded to 7 decimal places? 0.0000007 What is -0.0033911 rounded to 5 dps? -0.00339 What is 0.002457 rounded to 4 decimal places? 0.0025 Round 12.952 to one decimal place. 13 What is 0.000004803 rounded to 6 decimal places? 0.000005 What is -30.523 rounded to one dp? -30.5 What is 0.0021214 rounded to three decimal places? 0.002 Round 0.0000691 to six dps. 0.000069 What is -0.00056992 rounded to five dps? -0.00057 What is 19414.5 rounded to the nearest 100? 19400 What is -1.54 rounded to the nearest ten? 0 What is 2160.53 rounded to the nearest 10? 2160 Round 0.00584715 to five decimal places. 0.00585 Round 0.00004966 to 6 decimal places. 0.00005 What is -9648.9 rounded to the nearest one thousand? -10000 Round -827.1 to the nearest one hundred. -800 What is -1.124 rounded to 1 dp? -1.1 What is 268.85 rounded to the nearest ten? 270 Round 0.0009652 to four dps. 0.001 What is -6.356 rounded to 0 decimal places? -6 What is -0.0000005324 rounded to seven dps? -0.0000005 Round 0.01807 to 3 decimal places. 0.018 Round 0.091547 to 3 dps. 0.092 Round -0.0009079 to six dps. -0.000908 What is 0.04495 rounded to 2 dps? 0.04 What is -24592 rounded to the nearest one hundred? -24600 Round -14.07 to one decimal place. -14.1 What is -0.0312 rounded to three decimal places? -0.031 Round -0.000000654 to seven decimal places. -0.0000007 What is -198.09 rounded to 0 dps? -198 Round 0.0000051286 to 6 decimal places. 0.000005 Round -0.00030491 to 6 dps. -0.000305 Round -0.0000844 to five dps. -0.00008 Round -0.11926 to two decimal places. -0.12 Round 0.062514 to three dps. 0.063 What is 314370 rounded to the nearest one thousand? 314000 Round 8.33 to the nearest ten. 10 Round -3590030 to the nearest ten thousand. -3590000 Round 78036000 to the nearest 100000. 78000000 What is -2153 rounded to the nearest 100? -2200 Round -0.0000000887 to 6 decimal places. 0 Round 1109 to the nearest one thousand. 1000 Round 613.45 to the nearest one hundred. 600 What is 0.000012199 rounded to 7 decimal places? 0.0000122 Round -0.000010032 to 6 decimal places. -0.00001 Round -0.01402 to three dps. -0.014 Round -5659 to the nearest 1000. -6000 Round -30.23 to 0 decimal places. -30 What is 348600 rounded to the nearest one hundred thousand? 300000 What is -2457.9 rounded to the nearest 100? -2500 Round -0.00025622 to five dps. -0.00026 Round -575000 to the nearest one hundred thousand. -600000 Round 28300 to the nearest 1000. 28000 Round -109.494 to the nearest ten. -110 Round -0.000000755 to seven dps. -0.0000008 Round 274080 to the nearest 1000. 274000 Round -22.016 to 1 dp. -22 Round 5980 to the nearest 1000. 6000 Round -0.6944 to 1 decimal place. -0.7 What is 1.7574 rounded to 1 decimal place? 1.8 Round 0.005655 to 4 dps. 0.0057 What is -0.0000010726 rounded to seven decimal places? -0.0000011 Round -140.21 to zero dps. -140 Round -179900 to the nearest ten thousand. -180000 Round 2.2513 to one decimal place. 2.3 What is 0.0002848 rounded to 5 dps? 0.00028 Round -0.01204 to three dps. -0.012 Round -723900 to the nearest ten thousand. -720000 Round 3537100 to the nearest 10000. 3540000 Round -3265 to the nearest one hundred. -3300 What is -0.00005729 rounded to 5 decimal places? -0.00006 What is 6.9 rounded to 1 dp? 6.9 Round -0.11205 to three decimal places. -0.112 What is -150400 rounded to the nearest one thousand? -150000 What is 307800 rounded to the nearest ten thousand? 310000 What is 0.000002936 rounded to 6 dps? 0.000003 Round 120000 to the nearest 10000. 120000 Round 16.21 to the nearest ten. 20 What is 3.487 rounded to one decimal place? 3.5 What is 0.000008358 rounded to seven decimal places? 0.0000084 Round -0.043385 to three decimal places. -0.043 What is -16.1 rounded to the nearest ten? -20 Round 2.396 to one dp. 2.4 What is -337.3 rounded to the nearest one hundred? -300 What is -0.0000057 rounded to 4 decimal places? 0 What is 140600000 rounded to the nearest one million? 141000000 Round 254.7 to the nearest ten. 250 What is -0.839 rounded to 2 decimal places? -0.84 Round 0.00000030243 to seven dps. 0.0000003 Round 192529000 to the nearest 1000000. 193000000 Round 0.0001002 to six decimal places. 0.0001 Round 0.28 to two dps. 0.28 Round 48310000 to the nearest 1000000. 48000000 Round 0.000509 to five decimal places. 0.00051 Round -0.0001173 to six dps. -0.000117 Wha
{ "pile_set_name": "DM Mathematics" }
4 (d) -2/7 (e) 26 (f) -309 e What is the sixth smallest value in -1/9, -7, 344, 1.2, -104, -4, -2? 1.2 What is the third biggest value in -64, -1/5, 0.6, 1, -28, 5? 0.6 What is the fourth biggest value in 0.5, -317, 0.8, 7, -6, 0? 0 Which is the second biggest value? (a) -1/10 (b) 24/11 (c) 0.2 (d) 89893 b Which is the biggest value? (a) -24.686817 (b) 1 (c) -3/5 b What is the sixth biggest value in -989, 2, 0.5, 2/3, -4/17, 2/89? -989 What is the third smallest value in 510, 2/39, -1, 2/35, 1, -3? 2/39 What is the second smallest value in 13/15, -121, 1/15, 0.3, -5? -5 Which is the third biggest value? (a) -0.03 (b) -0.2 (c) -0.5 (d) 3/2 (e) 0 (f) -238 (g) -1 a What is the smallest value in -17, -68, 1.65, 1.1, -3/5? -68 What is the second smallest value in -1.24041, 3/8, 10, -3, 0.1? -1.24041 What is the sixth biggest value in 0.77, -0.4, -7, -0.2, -16, 1/4? -16 Which is the third smallest value? (a) -50 (b) 8 (c) 375 (d) -5 (e) 2 e Which is the third smallest value? (a) -5 (b) -1.2 (c) -5/37 (d) 1/3 (e) -0.7 (f) 2/21 (g) -2 b Which is the second smallest value? (a) -0.5 (b) 19 (c) -334441 a What is the second smallest value in 1/7, 5/4, -1/3, 10, 106/3, -4? -1/3 Which is the third smallest value? (a) 4 (b) -16 (c) 1 (d) 4/5 (e) 79/2 c What is the sixth smallest value in 3, -2, -5, 1, 0, 26.7386, -0.3? 3 What is the biggest value in 556/89, 72, 39? 72 What is the second smallest value in -196, -2, 0.10082? -2 Which is the second biggest value? (a) 160739 (b) 6 (c) 0.7 b What is the third biggest value in -5, 2/5, 5, 0.5, 1/12445? 2/5 Which is the second biggest value? (a) -4/277 (b) -1 (c) 0.1993 a What is the fifth smallest value in -11, -219.49, -4, 30, 4? 30 What is the sixth biggest value in -1, 1.1, 65, -3, 0.5, -2/11, -32? -3 What is the seventh smallest value in -5, 4, -1/4, 352, -4, 2/5, -40? 352 What is the fifth smallest value in 3/7, -6, -3/5, -532, -0.4, -8? -0.4 Which is the biggest value? (a) 0.5 (b) -3 (c) -116 (d) -1/2 (e) -38 (f) 2 (g) 0.17 f What is the biggest value in 4, -42317, -3, -7/3? 4 Which is the fifth biggest value? (a) -32 (b) 1/3 (c) 7/2 (d) 24/59 (e) 4 (f) 1/4 f What is the fourth smallest value in 26/5, 0.4, -1356, 413? 413 Which is the smallest value? (a) 12 (b) -1.34 (c) -5 (d) -460/29 d What is the sixth biggest value in 6, 13, 3, -0.5, 3/5, -1/5, -11? -0.5 Which is the third biggest value? (a) -1/668 (b) 17/22 (c) -1.1 c What is the sixth biggest value in 1/2, 0.3, 10, -2/13, -13267, -0.3? -13267 Which is the sixth smallest value? (a) 0.3 (b) -1 (c) -43 (d) 0.1 (e) 2842 (f) -1/2 e Which is the third biggest value? (a) 264630 (b) -0.3 (c) -37 c What is the fifth biggest value in 0.5, 11, -60.57, 2/9, 3? -60.57 Which is the second smallest value? (a) -84611 (b) 1/2 (c) 4 (d) 1/6 (e) 11 d What is the smallest value in -0.016, -0.1, 9, -5/3, 23805? -5/3 What is the fourth biggest value in -5, -4, -1329268, 3, -2? -5 Which is the smallest value? (a) 3 (b) 971 (c) 5/2 (d) 22 (e) 4 c Which is the third biggest value? (a) -70/29 (b) 24 (c) 444 (d) -2/11 d Which is the second smallest value? (a) 57 (b) -4 (c) 2498 (d) 2/7 (e) 0 (f) -0.5 f What is the seventh smallest value in 0.3, -3, -3/5, -9, -2/411, -5, 3? 3 What is the second smallest value in 0.2, -42, 1210, -1/4? -1/4 What is the fourth smallest value in 0.1, 195, 5322, 1? 5322 What is the biggest value in 1/6, -104/9, -3, 3.8? 3.8 What is the third biggest value in -1/2, 1/3, 1, -3/82, -4, 9/7, 0.04? 1/3 What is the biggest value in -3, 0.9, 0, -10403? 0.9 Which is the fourth smallest value? (a) 4 (b) 3/40 (c) 12.8 (d) -0.1 (e) -2397 a Which is the second smallest value? (a) 8 (b) -4/3 (c) 1372 (d) -66 b Which is the biggest value? (a) 4.2284 (b) 0.3 (c) 15 c What is the third biggest value in 0.16, -1472581, 4? -1472581 What is the second biggest value in -483, -136407, -0.1? -483 Which is the fifth smallest value? (a) 1 (b) -2/17 (c) 1.56 (d) -5/6 (e) -0.4 (f) -1 (g) 112 a Which is the third biggest value? (a) 23824 (b) 382 (c) -1/10 c What is the third smallest value in -1/5, 2/59, -0.6, -4, 5, -0.25, 0.2? -0.25 Which is the smallest value? (a) -1 (b) 4/1161 (c) 550/47 (d) 0.2 a Which is the biggest value? (a) -349.7691 (b) -0.2 (c) -3/13 b What is the second smallest value in 0.1671, -20, -2/15, 0.056, -0.5? -0.5 Which is the second biggest value? (a) 568.8 (b) 6 (c) 1 (d) -4 b Which is the smallest value? (a) -1/20 (b) 0.4815 (c) 74 (d) 1/4 a What is the second biggest value in 1, -14365, 129.7? 1 Which is the third smallest value? (a) -1129811 (b) 6 (c) 9 c Which is the second smallest value? (a) -432/19 (b) -0.3 (c) -8 c What is the second smallest value in 1/3, 21, 0.1107, 0.057, 3? 0.1107 Which is the third smallest value? (a) -104 (b) 2/7 (c) -8752 b Which is the biggest value? (a) 5 (b) -4/65 (c) 0.02 (d) -4 (e) -0.02 (f) 1/3 (g) 3 a What is the second biggest value in 2, 2.2, 0, -1/3, -3, -23/4, -3/5? 2 What is the third smallest value in 0.1, 2/5, -4, -276269.89, 4, 2? 0.1 What is the fifth biggest value in 2/9, 1, 8, 1/3, -144, -6, -0.5? -0.5 Which is the fourth biggest value? (a) 32190 (b) -0.1 (c) 0.543 (d) -1/3 d What is the fifth biggest value in -50, -2, 2/13, 25, -5? -50 Which is the fourth smallest value? (a) -5 (b) 0.05 (c) 1326.75 (d) 1/23 c Which is the second smallest value? (a) -3 (b) -3/2 (c) -1576 (d) 5 (e) -4 (f) 54 e What is the fourth biggest value in -5, -3, -0.3, 0.4, 0.048, 3/2, 3? 0.048 What is the third smallest value in -0.3, -1, -1/20, 0.496, 2/15? -1/20 Which is the second biggest value? (a) -1/3 (b) -7/6 (c) -1/9 (d) 3207 c Which is the biggest value? (a) 2/17 (b) 1 (c) 7/13 (d) 9 (e) 1/43 d What is the second smallest value in 0.07, 1.007158, -0.5? 0.07 Which is the second biggest value? (a) -299 (b) 5/173 (c) -2/5 c What is the fifth biggest value in 4, -1231, -4/3, -1/7, 1, -11? -11 What is the biggest value in 4, -28, 1/6, -7.52971? 4 What is the third smallest value in 9, 104651, -57/7? 104651 Which is the second biggest value? (a) -4 (b) 30/83 (c) -1498 a What is the biggest value in 1.9, 1/39, 0.05, 27? 27 What is the biggest value in -0.09, -2/11, 1930/7, 2? 1930/7 What is the third smallest value in -0.1588, -0.1, 1, 699? 1 What is the fourth biggest value in -0.081, 0, -419, 31? -419 Which is the second biggest value? (a) 3 (b) 32.6 (c) 1420 (d) -1/2 b What is the biggest value in -2/7, -38/5, 1.3, 57, -0.2, 5? 57 Which is the fourth biggest value? (a) 0.1 (b) 141 (c) -7332/11 (d) 27 (e) 2/7 a What is the second smallest value in -23795, -4/3, 106? -4/3 What is the second smallest value in 0, -0.18, 93, -28, 2? -0.18 Which is the fourth smallest value? (a) 5/4 (b) 0.2 (c) -0.30796 (d) 5 (e) -1 a What is the smallest value in 4, 157015258, 5? 4 Which is the sixth smallest value? (a) -0.4 (b) -0.06 (c) 2 (d) 6 (e) 7 (f) 4/81 (g) 0.1 d Which is the fourth smallest value? (a) -3 (b) 20 (c) -5276.1 (d) -0.06 b Which is the fifth smallest value? (a) -0.35 (b) 1 (c) 2/5 (d) -2100 (e) -0.1 b What is the smallest value in -0.0409, 2/2311, -2? -2 Which is the second smallest value? (a) -1779 (b) 0.2 (c) -7078/3 a Which is the sixth smallest value? (a) -4 (b) 192 (c) -31 (d) -5 (e) 524 (f) 5 e Which is the second smallest value? (a) -2/3 (b) 1/263 (c) -1.24 (d) 4 (e) 18 a What is the second biggest value in -1/3, 2/1697, -3/304? -3/304 What is the third smallest value in -1, -18/19, 2.769, -0.2? -0.2 What is the biggest value in 1678, -1, 784? 1678 Which is the second biggest value? (a) -599 (b) -5 (c) -2 (d) -1/6 (e) -0.1 (f) -4 (g) 1/52 e Which is the sixth biggest value? (a) 9 (b) 1/4 (c) -0.48 (d) 11 (e) -0.1 (f) -0.15 c Which is the fourth biggest value? (a) 1/4 (b) -0.1 (c) 45 (d) 0.07 (e) 5 (f) 3 (g) 31 f Which is the third smallest value? (a) 2/5 (b) 4/5 (c) 1439/2 (d) -0.3 (e) -1/4 (f) -0.066 f Which is the third biggest value? (a) 0.5 (b) -40/23 (c) -2 (d) 4 (e) -22/15 (f) 1/6 (g) -0.2 f Which is the fourth biggest value? (a) -0.2 (b) 6 (c) -25 (d) 60.4
{ "pile_set_name": "DM Mathematics" }
3 Let i(n) = -n**2 - 10*n - 18. Suppose 0 = -3*c + 15, 35 - 1 = -2*x + 4*c. Let k be i(x). Suppose 0 = 3*a - 9 + k. What are the prime factors of a? 2 Suppose 4*t - 5786 + 1322 = 0. Suppose -m - 4*o = -380, -4*o + t = -0*m + 3*m. List the prime factors of m. 2, 23 Let k be 19 + (-9)/(45/(-20)). Let g(j) = 3*j + 6. Let i be g(k). Let t = -6 + i. What are the prime factors of t? 3, 23 Let x(w) be the first derivative of w**3 - 27*w**2/2 - 68*w + 115. What are the prime factors of x(20)? 2, 37 Suppose 5*a + 56 = 8*u - 5*u, 4*u - 86 = a. Suppose 0 = 23*b - u*b - 231. List the prime factors of b. 3, 7, 11 Let x be (-3 - -3) + 3*1. Suppose 2*i - 570 = l - 0*l, 2*i = x*l + 562. What are the prime factors of i? 7, 41 List the prime factors of (-33885)/(-10)*(-1 - -3). 3, 251 Suppose 216553 = 29*q - 177331 + 71723. List the prime factors of q. 3, 7, 23 Suppose 184*v = 173*v + 17490. List the prime factors of v. 2, 3, 5, 53 Suppose -112*q + 417301 + 790718 = -826797. What are the prime factors of q? 2, 3, 757 Let c = 42606 + -5096. List the prime factors of c. 2, 5, 11, 31 Let z = -474 - 435. Let f be z/(-18) + 3/2. Suppose -f = -7*w + 564. List the prime factors of w. 2, 11 Let t be 0 - ((-2)/2 + 499/1). Let s = t + 336. Let h = s - -278. What are the prime factors of h? 2, 29 Let s(c) = -c**2 - 8*c + 2. Let i be s(5). List the prime factors of (-18099)/i + (-8)/28. 7, 41 Let n(s) = s**3 - 2*s**2 - 6*s - 16. Let h be n(5). Suppose -m = 4*y - 746, 26*m = h*m + y - 2216. What are the prime factors of m? 2, 3, 41 Let r(b) = 71*b**2 - 8*b - 16. Let k be r(-5). Suppose -27*l + k = -26*l. What are the prime factors of l? 7, 257 Let x(z) be the first derivative of -5*z**3 - 12*z**2 + 22*z + 5 + 1/4*z**4. List the prime factors of x(17). 2, 3 Suppose -4*f + 5*v - 25 = -3*f, 5*v = 5*f + 25. Suppose 0*m = -3*m + 15, -4*w - 4*m + 12 = f. What are the prime factors of (w - -11)/3*303/9? 101 Suppose -12040 = -10*s - 700. Suppose -126*a = -124*a - s. List the prime factors of a. 3, 7 Suppose q = 5*i + 91 + 108, 5*q - 932 = 4*i. Let m be (-2)/10 + -2 + q/20. Let k(n) = n**2 - n + 6. What are the prime factors of k(m)? 2, 3 Suppose 10 = -5*q, -4*t + 2*q + 1048 = -1552. Suppose -4*i - t = -w + 767, 0 = 2*w + 2*i - 2822. List the prime factors of w. 2, 353 Suppose 5*x = 27 - 7. Suppose 635 - 4815 = -20*z. Suppose -z = -x*s - 69. List the prime factors of s. 5, 7 Let p = 62224 + -34724. What are the prime factors of p? 2, 5, 11 Let t be (90/36)/(2/4) + 1. Let d(a) = 26*a**2 + 4*a - 28. List the prime factors of d(t). 2, 233 Suppose -596*a - 4781 = -603*a. Let v = -442 + a. List the prime factors of v. 241 Let o be -4 + ((-6)/(-5))/(32/80). What are the prime factors of (-40)/(-60)*((-28)/(-1) + o)? 2, 3 Suppose -24*q + 35229 = -17571. Suppose 3*r = -0*r + 5*y + 1642, 0 = -4*r - 4*y + q. What are the prime factors of r? 3, 61 Suppose -2*q = -0 - 2. Let v = q + 20. What are the prime factors of v? 3, 7 Let v(k) = 2*k**3 + 13*k**2 + 2. What are the prime factors of v(15)? 9677 Let m(w) = -4*w**3 - 10*w**2 - 2*w + 5. Let h be m(-3). Let x(n) = -2*n**2 + 73*n - 47. List the prime factors of x(h). 2, 97 Let r be (2/(-2))/(9/27) - -9. What are the prime factors of 48/(6/r) - -3? 3, 17 Let h be ((-18)/(-12))/((-3)/(-1))*0. Suppose -5*y - 1206 = -2*f - 448, 2*f + y - 770 = h. List the prime factors of f. 2, 3 Let d = -82 - -85. Suppose d*g - 1083 = -3*c, -4*c = 5*g - 2214 + 412. What are the prime factors of g? 2, 179 Let m(c) = c + 7. Let z be m(-3). Suppose 10*j - 264 = z*j. Let r = 194 - j. What are the prime factors of r? 2, 3, 5 Suppose 2*v - 5*i = 2871, -40*i + 35*i - 7155 = -5*v. Suppose -19*h + 25*h = v. What are the prime factors of h? 2, 7, 17 Let j(p) = -14*p**3 - 31*p**2 - 34*p - 29. Let o(y) = -5*y**3 - 10*y**2 - 11*y - 10. Let l(t) = 3*j(t) - 8*o(t). What are the prime factors of l(-9)? 2, 131 Let x be 2/(-5) + 1524/10. Suppose 18*l = 11*l + 14. Suppose -3*y = -0*y - l*b - x, 196 = 4*y - 4*b. List the prime factors of y. 2, 3 Let p be (-2)/(-12) + (-1547)/102. What are the prime factors of 17397/36 - (p/(-12) - 1)? 3, 7, 23 Let n(j) = -5*j - 59. Let c(k) = 5*k - 5. Let b be c(1). Let g(l) = -5*l - 14. Let q be g(b). What are the prime factors of n(q)? 11 Suppose -q + v = -557, -q + 2*v + 152 = -410. Let g = q + -7. What are the prime factors of g? 5, 109 Let n(b) = 144*b**3 - b**2 - 37*b + 153. List the prime factors of n(5). 3, 5981 Let i = 29 + -15. Let r be (-316)/i + 4 + 9/(-21). What are the prime factors of (0 + 10)*(21 + r)? 2, 5 Let u(q) = -q**2 - q + 132. Let v be u(0). Let k = v + -85. Suppose -x = -k + 16. What are the prime factors of x? 31 Suppose -11*j - 20*j = 155. Let n = 34 + -23. Let m = n - j. What are the prime factors of m? 2 Suppose -464 = -33*b + 4*b. Let n = b - -102. What are the prime factors of n? 2, 59 What are the prime factors of 9/(-3)*(5/4 - 863753/132)? 19, 1033 Suppose 2540 = 2*a - 2*d, 0 = -2*a + d - 3*d + 2548. Suppose -42*s = -a - 14856. What are the prime factors of s? 2, 3 Suppose -2*w + b + 11 = 0, 5*b = 3*b + 10. Suppose -5*t + 25 = -o - 2, o - w = -2*t. List the prime factors of (2 - 14/6)*393*o. 2, 131 Suppose 0 = w - 8 - 66. Let d = 304 + -251. Let x = w - d. List the prime factors of x. 3, 7 Let h(i) = 9*i**2 - 135*i - 123. List the prime factors of h(-37). 3, 11, 521 Suppose -12 = -7*q + 16. Suppose 8 = -q*n + 6*n. Suppose -n*v = -3*m + 4*m - 25, 4*m + 2*v - 58 = 0. What are the prime factors of m? 13 Let n(p) = p**3 - 14*p + 12. Let i be n(-7). Let v = i - -302. What are the prime factors of v? 3, 23 List the prime factors of (-292080)/28*(-126)/27. 2, 5, 1217 Suppose 2134 = 5*a + 4*n - 20496, 2*a - 9090 = 6*n. What are the prime factors of a? 2, 3, 5, 151 Let n be 2*(15/2 + -2). Suppose l - 10 = -5*u, u = -0*u - 2*l + n. What are the prime factors of (5/3 - u)/((-40)/(-5340))? 89 Let m be 10 - 12 - (102 + 1). Let a = m - -325. Let r = -72 + a. List the prime factors of r. 2, 37 Suppose 2*v = -0*v - 5*f + 4242, v - 2121 = -f. Let i = -1189 + v. Suppose -2*y + 2*m + 478 = 0, 2*y - 2*m = 6*y - i. What are the prime factors of y? 5, 47 Let x = -4876 + 10691. List the prime factors of x. 5, 1163 List the prime factors of 7763/3*(2 - -1) - (228 + -231). 2, 11, 353 What are the prime factors of (-16 + (-12861)/(-9))/1? 3, 157 Suppose -22*p + 17*p + 139248 = 19*p. What are the prime factors of p? 2, 3, 967 Suppose 8*x - q = 82359, 41176 = 71*x - 67*x - 4*q. What are the prime factors of x? 5, 29, 71 Let z be 7/4*(10 - (4 + 2)). Suppose z*n - 412 = 1072. Suppose -80 - n = -a. What are the prime factors of a? 2, 73 Let h = -55976 + 119210. List the prime factors of h. 2, 3, 1171 Suppose 5*v = -5*w - 5, 0*w - 45 = -5*w + 5*v. Suppose -208 = -o + 5*g, w = 3*g - 2. What are the prime factors of o? 2, 109 Suppose -5*u = h - 5063 - 5251, -3*h + 6*u = -30837. List the prime factors of h. 10289 Let t be 3/(-6)*(-30)/3*1. Let w = 5 - 2. What are the prime factors of w/(t/(125/15))? 5 Let d = 20472 + -7238. List the prime factors of d. 2, 13, 509 Suppose -447*a - 75*a + 17881889 = -113*a. List the prime factors of a. 43721 Suppose -12*d + 31911 = 28*d - 12809. List the prime factors of d. 2, 13, 43 Let j(g) = g**3 - 4*g**2 + 5*g + 3. Suppose -8*y = -14*y. Suppose 4*z - z - 15 = y. List the prime factors of j(z). 53 What are the prime factors of (-7)/3 + 1792344/306? 5, 1171 Let u = 6028 + -510. What are the prime factors of u? 2, 31, 89 Suppose -285*m = -f - 282*m + 26029, 2*f - 52040 = -3*m. What are the prime factors of f? 53, 491 List the prime factors of (446/(-3))/((-24)/2196). 61, 223 Suppose -r = 5*g - 26 - 16, 0 = 5*r + 2*g - 95. Suppose 0 = -r*w + 28 + 261. Suppose -18*b + 197 = -w*b. What are the prime factors of b? 197 Let o = 39 - 87. What are the prime factors of -1 + ((-8)/o - (-11355)/18)? 2, 3, 5, 7 Let q(v) = -6*v + 10. Let i be (-15)/10*4/6*-4. Suppose 5*t = 4*l + 2, 15 = -3*l - i*t + t. What are the prime factors of q(l)? 2, 7 Let p = 426 - 162. Suppose -18*w = 4*w - p. What are the prime factors of w? 2, 3 Let v = 3 + 199. Suppose -103 = 8*f - 9*f - 3*a, 2*f + 5*a - v = 0. What are the prime factors of f? 7, 13 Let z(p) = p**3 + 7*p**2 - 14*p - 20. Let m(y) = -7*y**3 - 2*y**2 + y. Let c be m(1). Let h be z(c). Su
{ "pile_set_name": "DM Mathematics" }
ent from hyhhhwhhhhphh. Give prob of sequence hyh. 15/286 Two letters picked without replacement from {f: 4, h: 6, e: 3, g: 6}. What is prob of sequence ge? 1/19 Two letters picked without replacement from {r: 2, q: 1, c: 1, o: 1, w: 4}. Give prob of sequence or. 1/36 Calculate prob of sequence ooo when three letters picked without replacement from {y: 2, g: 10, o: 3}. 1/455 Calculate prob of sequence rmjj when four letters picked without replacement from {e: 2, m: 2, j: 2, r: 3}. 1/252 Two letters picked without replacement from iknkizkikkiifzkf. What is prob of sequence zk? 1/20 Three letters picked without replacement from zzoooozooz. Give prob of sequence ooo. 1/6 Three letters picked without replacement from nfnfufhnffhufyq. Give prob of sequence nqn. 1/455 Four letters picked without replacement from {x: 1, c: 3, b: 3}. What is prob of sequence cxcb? 3/140 Calculate prob of sequence zp when two letters picked without replacement from uzuppuupzzuup. 1/13 What is prob of sequence uccu when four letters picked without replacement from {u: 7, c: 5}? 7/99 Three letters picked without replacement from uxtxxutxtxxtx. Give prob of sequence xtt. 7/143 What is prob of sequence bmbm when four letters picked without replacement from {g: 5, b: 3, v: 3, m: 3, z: 1, p: 3}? 1/2040 What is prob of sequence wuuu when four letters picked without replacement from {u: 7, w: 3}? 1/8 What is prob of sequence oyl when three letters picked without replacement from ljjjyjyoyjy? 2/495 What is prob of sequence zo when two letters picked without replacement from {t: 1, d: 5, z: 4, o: 1}? 2/55 Two letters picked without replacement from {e: 5}. What is prob of sequence ee? 1 What is prob of sequence esee when four letters picked without replacement from {s: 5, e: 11}? 165/1456 Three letters picked without replacement from fyhmryfiihifhfifyf. What is prob of sequence hmi? 1/408 Two letters picked without replacement from ppelbpejfff. Give prob of sequence jf. 3/110 Two letters picked without replacement from lqqlqllqlq. What is prob of sequence ql? 5/18 Calculate prob of sequence bref when four letters picked without replacement from {b: 4, r: 5, g: 3, j: 4, e: 1, f: 1}. 1/3672 Calculate prob of sequence zuw when three letters picked without replacement from {w: 2, u: 4, z: 1, b: 1, h: 3, d: 7}. 1/612 What is prob of sequence uug when three letters picked without replacement from uguuuuuuuugguu? 55/364 What is prob of sequence yyyg when four letters picked without replacement from {y: 3, c: 4, g: 4}? 1/330 Calculate prob of sequence npun when four letters picked without replacement from pneun. 1/60 What is prob of sequence mbk when three letters picked without replacement from {m: 13, k: 3, b: 4}? 13/570 Calculate prob of sequence ras when three letters picked without replacement from ddddsddsdaddsdladrd. 1/969 What is prob of sequence uygy when four letters picked without replacement from myymzzuuyyyyyumgum? 7/3060 Four letters picked without replacement from {g: 7, w: 2}. Give prob of sequence gwgg. 5/36 Two letters picked without replacement from iaiiiaiiia. What is prob of sequence ia? 7/30 Two letters picked without replacement from kxwwkwkww. Give prob of sequence wk. 5/24 What is prob of sequence itft when four letters picked without replacement from ttfti? 1/20 Two letters picked without replacement from {d: 5, y: 3, b: 5}. What is prob of sequence dd? 5/39 What is prob of sequence di when two letters picked without replacement from dddiiididdd? 14/55 Four letters picked without replacement from pfkfpkfkfpfprv. Give prob of sequence pfpk. 15/2002 Three letters picked without replacement from {q: 3, s: 3, l: 2}. Give prob of sequence lql. 1/56 Four letters picked without replacement from uihwiwpiwwhhwhh. What is prob of sequence phwh? 5/1638 Three letters picked without replacement from dmdmdldmmm. Give prob of sequence mlm. 1/36 Calculate prob of sequence cyww when four letters picked without replacement from cywww. 1/20 Calculate prob of sequence prp when three letters picked without replacement from {r: 1, o: 3, p: 4, n: 11}. 2/969 Four letters picked without replacement from {x: 2, r: 7}. What is prob of sequence rxrr? 5/36 Two letters picked without replacement from {z: 3, k: 4, s: 1}. What is prob of sequence zz? 3/28 Calculate prob of sequence oo when two letters picked without replacement from {h: 3, o: 2}. 1/10 Two letters picked without replacement from {z: 1, j: 1, g: 1, w: 6, f: 3}. Give prob of sequence wz. 1/22 Calculate prob of sequence op when two letters picked without replacement from {t: 1, i: 2, p: 3, o: 1, d: 4}. 3/110 Calculate prob of sequence nppn when four letters picked without replacement from {p: 5, n: 7}. 7/99 Calculate prob of sequence ovq when three letters picked without replacement from {q: 4, o: 2, v: 4}. 2/45 What is prob of sequence lx when two letters picked without replacement from {l: 7, g: 2, x: 6}? 1/5 What is prob of sequence ijc when three letters picked without replacement from wwwlajjlawjjiwciw? 1/510 Four letters picked without replacement from fnfve. What is prob of sequence efnf? 1/60 What is prob of sequence npk when three letters picked without replacement from kkknvkvkkkpkp? 4/429 Two letters picked without replacement from dddddddddddddhd. Give prob of sequence dd. 13/15 Four letters picked without replacement from uxffuxxffuxxux. What is prob of sequence xuuf? 12/1001 Two letters picked without replacement from {s: 5, w: 1, q: 4}. What is prob of sequence wq? 2/45 Calculate prob of sequence dlj when three letters picked without replacement from djjljjd. 4/105 Calculate prob of sequence cxd when three letters picked without replacement from {n: 1, d: 4, y: 12, c: 1, s: 1, x: 1}. 1/1710 Three letters picked without replacement from aaabab. Give prob of sequence aab. 1/5 Two letters picked without replacement from {u: 1, k: 1, i: 1, d: 1, p: 1, b: 2}. What is prob of sequence ub? 1/21 Three letters picked without replacement from ajaaararrjarparjavr. What is prob of sequence jaa? 28/969 Calculate prob of sequence ff when two letters picked without replacement from sfssfffsff. 1/3 Three letters picked without replacement from mjuqmjmmumjqmujkmu. Give prob of sequence qqk. 1/2448 Four letters picked without replacement from {a: 4, s: 9, z: 1}. What is prob of sequence zass? 12/1001 What is prob of sequence ns when two letters picked without replacement from {i: 1, s: 1, n: 1}? 1/6 Calculate prob of sequence ccy when three letters picked without replacement from yyyyccccyycy. 7/66 Four letters picked without replacement from {f: 9, j: 1, q: 1, k: 3}. Give prob of sequence kfjk. 9/4004 Three letters picked without replacement from ddrddrrqdrdddrrrx. What is prob of sequence dqd? 7/510 What is prob of sequence ss when two letters picked without replacement from {s: 2, h: 2}? 1/6 What is prob of sequence pe when two letters picked without replacement from {w: 2, m: 2, p: 2, e: 4}? 4/45 What is prob of sequence bq when two letters picked without replacement from {q: 1, b: 2, v: 2, s: 1}? 1/15 Four letters picked without replacement from nniinnnn. What is prob of sequence innn? 1/7 Two letters picked without replacement from kxkkkkkxxkxxx. What is prob of sequence kx? 7/26 Four letters picked without replacement from {r: 3, i: 4, c: 1, a: 2, f: 6, z: 2}. What is prob of sequence cair? 1/3060 Four letters picked without replacement from {d: 7, i: 1, y: 4, j: 1, o: 4}. What is prob of sequence ddod? 1/68 What is prob of sequence xxxr when four letters picked without replacement from rrrrxxrxrxxrx? 7/143 Three letters picked without replacement from nngddgedgdmevng. What is prob of sequence ngm? 2/455 Calculate prob of sequence cc when two letters picked without replacement from {c: 4, y: 2, w: 1, z: 7, d: 4}. 2/51 What is prob of sequence nnnk when four letters picked without replacement from nknnnknnkknnnnknnnn? 455/3876 What is prob of sequence tw when two letters picked without replacement from pzggggggtwtt? 1/44 Calculate prob of sequence bju when three letters picked without replacement from {b: 1, j: 3, u: 1, i: 1, y: 7}. 1/572 Three letters picked without replacement from {m: 2, b: 2, n: 4, y: 2, h: 1, c: 3}.
{ "pile_set_name": "DM Mathematics" }
9 - 377*b + 67*b. -317*b - 16 Collect the terms in -2*c + 117 - 4*c**2 + 158 + 152. -4*c**2 - 2*c + 427 Collect the terms in 16 + 12 + 14 - 64 + 22 + 3*g**3. 3*g**3 Collect the terms in -401*d**3 - 353*d + 3*d**2 - 1 + 353*d. -401*d**3 + 3*d**2 - 1 Collect the terms in 33*m - 4*m - 7*m - 11*m - 11*m + m**3. m**3 Collect the terms in -42*s**3 + 487*s**3 - 451*s**3. -6*s**3 Collect the terms in 2 + 226*h + 2 - 3 - 30*h - h**2. -h**2 + 196*h + 1 Collect the terms in -199196*q - q**3 + 99583*q + 99613*q. -q**3 Collect the terms in 0 - 4 + 1 - 5232*t + 2. -5232*t - 1 Collect the terms in 360068 - 360068 - 385*r. -385*r Collect the terms in -32*n**3 + 28*n**2 + 35*n**3 - 2*n**2. 3*n**3 + 26*n**2 Collect the terms in -4254084*a - 4254066*a + 8508156*a. 6*a Collect the terms in 870*o + 2*o**2 + 869*o + 875*o + 872*o - 3486*o. 2*o**2 Collect the terms in 8*n**2 + 20 - 7*n**2 - 42. n**2 - 22 Collect the terms in -2738*m**2 + 18 - 46 + 682*m**2 + 20. -2056*m**2 - 8 Collect the terms in 6*r**2 - 57*r**3 + 49*r**3 - r**2 - 3*r**2. -8*r**3 + 2*r**2 Collect the terms in -8*b + 0*b - 34*b**2 - b + 9*b. -34*b**2 Collect the terms in 3003 - 1665 - 1338 + 34*j. 34*j Collect the terms in 5*p**3 + 3*p**3 + 21277 - p**3 - 9*p**3. -2*p**3 + 21277 Collect the terms in -302*c + 302*c + 4 - 859*c**2. -859*c**2 + 4 Collect the terms in -11*c**3 + 46*c**3 - 51*c**3 - 20*c**3. -36*c**3 Collect the terms in 135853*c - 271704*c + 135852*c + 81. c + 81 Collect the terms in 7*j - 4242 + 5*j - 8*j + 4242. 4*j Collect the terms in 11995*k - 5960*k - 6030*k. 5*k Collect the terms in -136*d**2 + 6*d + 8*d**2 - 3 - 8*d + 2*d. -128*d**2 - 3 Collect the terms in -90*b**3 + 3 - 3 + 0 + 92*b**3. 2*b**3 Collect the terms in -32228208*w**2 + 32228208*w**2 - w**3. -w**3 Collect the terms in 13 + 0*d + 10 + 2 - 6*d. -6*d + 25 Collect the terms in -174145*i - 174154*i + 348293*i. -6*i Collect the terms in -6*a + 3*a - 11*a + 7*a - 13*a. -20*a Collect the terms in 40*p - 68*p - 11*p - 157*p + 33*p. -163*p Collect the terms in 221*r + 161*r**2 + 6*r**2 - 133*r - 88*r. 167*r**2 Collect the terms in 67*p + 68*p + 712*p**3 - 135*p. 712*p**3 Collect the terms in -2167*z + 2 + 16*z**2 - 2 + 2167*z. 16*z**2 Collect the terms in 67*c + 35*c - 52*c + 64 + 52*c. 102*c + 64 Collect the terms in -9 + 11*o**2 + 33*o**2 + 6*o - 2*o - 2*o**2. 42*o**2 + 4*o - 9 Collect the terms in -2181 - 2*h + 2181. -2*h Collect the terms in 68 - 4*s - 29 - 39 - 20*s. -24*s Collect the terms in 227*d**3 - 66*d**3 - 65*d**3 - 61*d**3 - 60*d**3. -25*d**3 Collect the terms in 23234*v + 4 - 4 - 46466*v + 23236*v. 4*v Collect the terms in 24199*z**2 - 48489*z**2 + 24192*z**2. -98*z**2 Collect the terms in -41*n**3 - 14*n + 10*n**2 + 3*n - 10*n**2 + 12*n. -41*n**3 + n Collect the terms in -1927*d**3 + 5592*d**3 - 3646*d**3. 19*d**3 Collect the terms in 15042*r**3 - r**2 + r**2 + 2851*r**3. 17893*r**3 Collect the terms in -7*z**2 - z**2 + 1087 - 1087. -8*z**2 Collect the terms in -11*h**2 + 2 - 4*h**2 + 2*h**2 - 340*h. -13*h**2 - 340*h + 2 Collect the terms in 32*p - 57*p**2 + 35*p**2 + 23*p**2. p**2 + 32*p Collect the terms in 172*f - 174*f + 4*f. 2*f Collect the terms in -5 - 10*n + 2*n + 1 - 8*n. -16*n - 4 Collect the terms in -2682*f**2 + 887*f**2 + 895*f**2 + 899*f**2. -f**2 Collect the terms in -4*p**3 + 6*p**3 + p**2 - 4*p**3 + 9*p**3. 7*p**3 + p**2 Collect the terms in -21*q**3 + 306 - 158 - 150 + 24*q**3 + 26*q**3. 29*q**3 - 2 Collect the terms in 2*q**3 + q**2 + 4524 + 2494 - 2205. 2*q**3 + q**2 + 4813 Collect the terms in 0*k - 86 - 36 - 138 + k - 65. k - 325 Collect the terms in -359*x - 357*x + 1430*x - 358*x - 352*x. 4*x Collect the terms in -2592*y - 6197*y + 196*y - 7694*y. -16287*y Collect the terms in -333 - 328 - 322 - 321 + 1304 + 2*n. 2*n Collect the terms in -1280*m**2 + 140 - 74 - 66. -1280*m**2 Collect the terms in x**2 - x**2 + 4694 - 3*x**2. -3*x**2 + 4694 Collect the terms in 158323 - 158323 + 8*o**3. 8*o**3 Collect the terms in -16*r**2 - 2*r**2 + 7*r**2 - 13*r**2 - 96 + 96. -24*r**2 Collect the terms in -11*h**3 + 3899 - 3899 + 2*h**3 - h**3. -10*h**3 Collect the terms in 7*l**2 + 19*l**2 - 28*l + 38*l. 26*l**2 + 10*l Collect the terms in -11397*x + 11401*x - 86 + 28. 4*x - 58 Collect the terms in -13*s**2 - 2*s**2 + 0*s**2 - 2*s**2 + s**2. -16*s**2 Collect the terms in -52*o + 52*o - 201 - 11*o**2 + 36 + 10*o**2. -o**2 - 165 Collect the terms in 40 - 27 - 11 + 199*u. 199*u + 2 Collect the terms in -213*k**2 + 2 + 97*k**2 + 106*k**2. -10*k**2 + 2 Collect the terms in 1669*g**3 - 845*g**3 - 829*g**3. -5*g**3 Collect the terms in 202*s**2 - 4*s**2 - 229*s**2. -31*s**2 Collect the terms in 16*l - 32*l - 2304*l**2 + 17*l. -2304*l**2 + l Collect the terms in 670*w**2 - 194*w**2 + 2363*w**2 + 2405*w**2. 5244*w**2 Collect the terms in -835*p - 826*p - 709*p + 2388*p. 18*p Collect the terms in 91 - 182 + 79*d**2 + 92. 79*d**2 + 1 Collect the terms in -148*m - 19*m + 154*m. -13*m Collect the terms in 9*g**2 + 21415 + 2*g - 21417 + 5*g**2 - 2*g. 14*g**2 - 2 Collect the terms in 289*c**3 + 0 + 3276*c**3 - 1 + 1. 3565*c**3 Collect the terms in 3124*r**2 + 5330*r**3 - 3124*r**2. 5330*r**3 Collect the terms in 106311702*g**2 - 30*g**3 - 106311702*g**2 - 2*g. -30*g**3 - 2*g Collect the terms in z**2 - 886*z + 96 + 87 + 886*z - 183. z**2 Collect the terms in -3973954*d**3 + 3973987*d**3 + 3 + 3 - 6. 33*d**3 Collect the terms in 23*q**3 + 2*q**3 - 29*q + 165*q**3 + 29*q. 190*q**3 Collect the terms in 441 - 872 - 3*k**3 + 431. -3*k**3 Collect the terms in 690421*z + 14*z**2 - 345210*z - 345211*z. 14*z**2 Collect the terms in -21591*y**2 + y + 2*y + y + 21601*y**2. 10*y**2 + 4*y Collect the terms in 109*p**3 - 301*p**3 + 79*p**3 + 3 + 82*p**3. -31*p**3 + 3 Collect the terms in -11*q**2 + 58724 - 2*q - 58724. -11*q**2 - 2*q Collect the terms in 7*l**3 - 35*l + 33*l + 9*l**3. 16*l**3 - 2*l Collect the terms in 53509 - 106924 - t**2 + 53415. -t**2 Collect the terms in -53517*y - 53510*y + 107027*y + y**2. y**2 Collect the terms in 203*l**2 - 551*l**2 - 60*l**2 + 202*l**2 + 203*l**2. -3*l**2 Collect the terms in 1 + 0*r + 4*r**3 - 1145*r**2 + r - 5*r**3. -r**3 - 1145*r**2 + r + 1 Collect the terms in 528 + 7*f - 1040 + 512. 7*f Collect the terms in 3 + i**3 + 71702*i - 2 - 71702*i - 1. i**3 Collect the terms in -181*l**2 + 0*l - l - 52*l**2 + 0*l**2. -233*l**2 - l Collect the terms in -9*p - 66*p - 19*p**3 + 5*p**3 + 75*p. -14*p**3 Collect the terms in 11 - 14718*w**2 - 11. -14718*w**2 Collect the terms in -52678 - 46*i + 47*i + 105358 - 52680. i Collect the terms in 3*m**2 + 5*m**2 - 1 + 5 - 15*m**2. -7*m**2 + 4 Collect the terms in 78*l - 77*l + 63*l**3 - 124*l**3 + 55*l**3. -6*l**3 + l Collect the terms in -10696*p + 3571*p + 3572*p + 3541*p. -12*p Collect the terms in -146692 + 3*i + i - 146684 - 146691 + 440067. 4*i Collect the terms in -256804*g**3 + 128401*g**3 + 128404*g**3. g**3 Collect the terms in 545*u - 545*u - 13010*u**2. -13010*u**2 Collect the terms in 1952*h**3 - 253*h**2 + 253*h**2 - 423*h**3. 1529*h**3 Collect the terms in -5886*g - 30055*g + 862*g - 1 - 1. -35079*g - 2 Collect the terms in 37840 - 18921 - 18919 - 607*i. -607*i Collect the terms in 5*k - 5*k - 5264*k**3 - 3352*k**3. -8616*k**3 Collect the terms in 0 + 426*u**3 - 600*u**3 + 0. -174*u**3 Collect the terms in 46485 - 6*k**2 - 46485. -6*k**2 Collect the terms in -4*i - 13*i - 1378 - 1376 + 2754 + 15*i. -2*i Collect the terms in 11*n**3 + 13069*n**2 - 13069*n**2 + 12*n**3. 23*n**3 Collect the terms in -8*j**2 - 9*j**2 - 19*j**2 + 34*j**2. -2*j**2 Collect the terms in -159 + 4*a**2 - 12*a - 4*a + 0*a. 4*a**2 - 16*a - 159 Collect the terms in 778*n**2 + 664*n**2 - 1570*n**2. -128*n**2 Collect the terms in -1 - 5 + 6 - 50227*o**2. -50227*o**2 Collect the terms in -1 - 1 - 8195*p + 1143*p. -7052*p - 2 Collect the terms in -19*n**3 + 101077309*n**2 - 101077309*n**2. -19*n**3 Collect the terms in 174*s**3 - 553*s**3 + 193*s**3 + 185*s**3. -s**3 Collect the terms in -2*v - 11*v - 4*v + 7*v - 2 + 18*v. 8*v - 2 Collect the terms in -63 - 91 + 295 - 4*j**2 - 87. -4*j**2 + 54 Collect the terms in d**2 + d**3 + 2*d**2 + 24 - 5*d**2 + 0*d**2. d**3 - 2*d**2 + 24 Collect the terms in -14497079452 - a + 14497079452. -a Collect the terms in -60*l - 54*l
{ "pile_set_name": "DM Mathematics" }
35. Let g(m) = w*q(m) + z(m). What is the derivative of g(r) wrt r? -46 Let y(a) = -a**3 + a**2 - 2*a + 2. Let w(i) = -1718*i**3 - 1954*i**2 + 10*i - 10. Let k(t) = w(t) + 5*y(t). Find the third derivative of k(l) wrt l. -10338 Let i(x) = 3*x**2 + 4*x - 5. Let o be i(1). What is the second derivative of -g - 27*g**2 + 19*g - 9*g**o + 2*g**2 wrt g? -68 Let i be 10/(-40)*(-7 + -1). Find the third derivative of 67*q**6 + 119*q**6 - 12503*q**2 - q + 12700*q**i wrt q. 22320*q**3 Find the second derivative of 747*w + 4836*w**2 + 67 - 746*w - 176*w**2 + 33 + 96 - 2*w**3 wrt w. -12*w + 9320 Let h(d) = -1. Let v be 10/(-7) + (-21)/(-49). Let t(p) = 10*p - 2 + 2. Let c(w) = v*h(w) + t(w). What is the first derivative of c(y) wrt y? 10 Find the second derivative of 45 + 0*r**3 - 87*r**4 - 105*r**4 + 9*r + r**2 + 72*r**4 - 6*r**3 wrt r. -1440*r**2 - 36*r + 2 Let a = 410 + -300. Differentiate 36 - a*r - 18 + 24 + 13 with respect to r. -110 Let u = 207 + -105. What is the derivative of -11*z**4 + 16 - u + 640*z**3 - 640*z**3 wrt z? -44*z**3 Suppose 33*z = 49*z - 128. Let p(m) = 118*m**2 + 3*m + 53. Let j(r) = -352*r**2 - 8*r - 158. Let n(o) = z*p(o) + 3*j(o). Differentiate n(k) with respect to k. -224*k Let v(q) be the first derivative of 0*q**2 + 14 - 2*q + 40/3*q**3. Differentiate v(b) wrt b. 80*b Let c(k) be the second derivative of -1775*k**4/4 + 2053*k**3/6 - 2*k - 457. Find the second derivative of c(q) wrt q. -10650 Let t(v) be the first derivative of 0*v**5 + 47/2*v**2 + 0*v - 15/2*v**6 + 0*v**4 - 199 + 0*v**3. Find the second derivative of t(p) wrt p. -900*p**3 Let k = -78 + 172. Find the second derivative of -k + 195 - 90 - 6*i - 83*i**5 wrt i. -1660*i**3 Suppose -4*t - 2 + 66 = 0. Suppose 0 = -5*g - 5*i + 350, -2*i = 2*i - t. What is the third derivative of 66*k - 5*k**2 - 9*k**6 - g*k - 10*k**2 wrt k? -1080*k**3 Let p(q) be the second derivative of 1/4*q**4 + 0*q**3 + 0*q**5 + 62*q - 101/2*q**2 + 1 + 1/15*q**6. Find the first derivative of p(h) wrt h. 8*h**3 + 6*h Let g(w) be the second derivative of 0*w**2 + 1/2*w**5 - 35*w + 1/2*w**4 + 0 - 91/6*w**3. What is the second derivative of g(l) wrt l? 60*l + 12 Find the second derivative of 460*o**2 - 41*o**4 - 227*o**2 - 3136*o - 232*o**2 wrt o. -492*o**2 + 2 Let t(d) be the third derivative of -205/6*d**3 + 0*d - 351*d**2 + 0 - 79/210*d**7 + 0*d**6 + 0*d**4 + 1/60*d**5. What is the first derivative of t(k) wrt k? -316*k**3 + 2*k Let c(g) be the third derivative of 2*g**5/3 - 55*g**4/24 + 3607*g**3/6 + 2*g**2 - 292. Find the first derivative of c(q) wrt q. 80*q - 55 Differentiate -65*l**3 - 631 - 836*l**4 + 65*l**3 - 577 wrt l. -3344*l**3 What is the second derivative of 4468 + 1879*v - 4468 - 6*v**3 - 29*v**2 wrt v? -36*v - 58 Let n(k) be the third derivative of 305*k**8/84 - 71*k**4/12 + k**3/6 + 134*k**2. Find the second derivative of n(h) wrt h. 24400*h**3 Let o be (-3 - -4)/((-7)/(-14)). What is the first derivative of -5110 - o*c + 59*c**2 + 2*c + 4998 wrt c? 118*c Suppose 4*d + 3*s - 9 - 12 = 0, 2*s = 3*d - 20. Let f(n) = n**2 - 4*n. Let t be f(d). Differentiate t + 25 + 41*k**2 + 15 - 7 wrt k. 82*k Let l(j) = j. Let h(q) = -q**3 + 7*q. Suppose -16*i + 17*i = 2. Suppose -20 = -k + 6*k. Let a(z) = i*h(z) + k*l(z). What is the second derivative of a(b) wrt b? -12*b Let u(g) be the first derivative of 1181*g**7/7 + g**5/5 - 1465*g**3/3 + 2292. Find the third derivative of u(o) wrt o. 141720*o**3 + 24*o Let y(d) = -678*d**2 - 6674*d - 75. Let l(m) = 679*m**2 + 6674*m + 50. Let p(v) = 3*l(v) + 2*y(v). Find the second derivative of p(b) wrt b. 1362 Differentiate -4563 - 450*g**2 + 95*g**4 + 405*g**2 + 24*g**4 + 1020 wrt g. 476*g**3 - 90*g Let m = 34 - 78. Let d = 47 + m. What is the derivative of -15*t**d - 999*t + 999*t - 9 wrt t? -45*t**2 Let x(y) be the third derivative of 7/24*y**4 - 36*y**2 + 8/3*y**3 - 1/20*y**5 + 0*y + 1. What is the derivative of x(p) wrt p? -6*p + 7 Let a = -34 - -88. Let q = a - 50. What is the first derivative of 16 - 18*k**4 + 42*k**q - 9*k**3 + 9*k**3 wrt k? 96*k**3 Suppose 6*a - a + 5*d - 215 = 0, -2*d - 142 = -4*a. What is the second derivative of a*r**3 - 2*r - 42 - 27*r**3 + 0*r - 3 + 54*r**3 wrt r? 390*r Let l = -260 + 262. Find the second derivative of 17*d**3 - 92*d - 55*d**5 + 54*d**5 + l*d wrt d. -20*d**3 + 102*d Suppose 12*f - 23 = 1. What is the third derivative of 59*v**6 + 4*v**f + 3*v**2 - 73*v + 73*v wrt v? 7080*v**3 Let l(g) be the first derivative of 13831*g**4/4 - 222*g**2 + 8946. Find the second derivative of l(z) wrt z. 82986*z Let t(f) = f**4 + f**3 - f**2 + f. Let w(h) = -880*h**3 + 2*h**2 - 2*h - 164. Let k(v) = 2*t(v) + w(v). Differentiate k(r) with respect to r. 8*r**3 - 2634*r**2 Suppose a + 2 = 4*g + 6, -4 = -5*g - a. Suppose g*f - 3*f + 255 = 0. What is the derivative of 59*r**3 - 2 - f*r**3 + 48*r**3 wrt r? 66*r**2 Let s(b) = 646*b**3 - 60*b**2 - 6439*b. Let h(v) = 216*v**3 - 18*v**2 - 2146*v. Let c(y) = 7*h(y) - 2*s(y). Find the second derivative of c(g) wrt g. 1320*g - 12 Let y(z) = 200*z**2 + 5*z - 247. Let s(l) = 200*l**2 + 6*l - 248. Let r be 13 + -6 + (-8)/4. Let u(n) = r*s(n) - 6*y(n). Differentiate u(q) wrt q. -400*q Let x(c) be the first derivative of 747*c**3 - 2298*c + 2505. What is the derivative of x(h) wrt h? 4482*h Let t(s) = 27 + 45*s**2 + s + 13*s + s. Let u(b) = 11*b**2 + 4*b + 7. Let p be (-4)/(-54) - (-14911)/999. Let c(n) = p*u(n) - 4*t(n). Differentiate c(k) wrt k. -30*k Let l = 74 - 73. Let o be (-5)/(15/(-12)) - l*2. Find the third derivative of -4*h**2 - 18*h**2 + 7*h**o - 26*h**5 wrt h. -1560*h**2 Let p(y) be the second derivative of 161*y**5/20 + 202*y**4/3 + y**2 + 12*y - 42. Find the third derivative of p(a) wrt a. 966 Let x(p) = 4165*p - 2077*p - 101*p**2 - 11 - 2085*p. Let s(c) = 101*c**2 - 4*c + 12. Let o(b) = 3*s(b) + 4*x(b). Differentiate o(t) with respect to t. -202*t Suppose -24*d = -4*d - 180. Find the third derivative of -4*q**4 + d*q**5 - 5*q**2 - 4*q**4 + 5 - 2*q**2 + 3*q**4 wrt q. 540*q**2 - 120*q Suppose -12*a = -7*a + 180. Let l = a + 41. What is the third derivative of -9*g**4 - 7*g**2 + l*g**2 + 13*g**2 wrt g? -216*g Let k(p) = -2*p - 6. Let t(l) = 1037*l**2 + 10*l - 525. Let j(o) = -5*k(o) - t(o). Find the first derivative of j(h) wrt h. -2074*h Let f(j) be the first derivative of -1080*j**4 - 14*j**3/3 - j**2/2 + 3*j - 3005. Find the third derivative of f(r) wrt r. -25920 What is the derivative of -4*f + 909*f**4 - 721 - 650 + 4*f - 72*f**4 wrt f? 3348*f**3 Let y(z) be the second derivative of -229*z**7/42 - 335*z**4/6 + 25*z + 24. What is the third derivative of y(q) wrt q? -13740*q**2 Suppose -78*f - 54*f = 0. Let a(g) be the third derivative of f*g + 0 - 8/3*g**3 + 5/3*g**4 - 21*g**2. What is the derivative of a(r) wrt r? 40 Let m(j) = -5*j - 54. Let g be m(-17). Find the second derivative of -1497*r - r**3 - g*r**3 + 1483*r - 24*r**3 wrt r. -336*r Let z(h) be the second derivative of -174*h**4 + 32*h**3/3 - 14*h**2 + 5606*h. What is the second derivative of z(s) wrt s? -4176 Let y(j) be the first derivative of 0*j**2 - 75 - 47/3*j**3 + 0*j + 93/4*j**4. What is the third derivative of y(m) wrt m? 558 Let w(j) = 2*j**3 + 53*j**2 + 11*j - 7. Let h(b) = b**2 - b + 1. Let t = -127 - -128. Let r(i) = t*w(i) + h(i). What is the second derivative of r(o) wrt o? 12*o + 108 Let i(a) be the first derivative of 6053*a**4/4 + 2*a**3/3 - 2016*a**2 - 5628. Find the third derivative of i(x) wrt x. 36318 Find the second derivative of -545*g**3 + 478*g**3 - 1793*g + 747*g**3 + 285*g**3 + 11679*g + 2*g**2 wrt g. 5790*g + 4 Let d be (70/21)/(7 - 486/72). Let g(j) be the first derivative of 0*j - 11*j**2 + 36 + d*j**3. What is the second derivative of g(i) wrt i? 80 Find the first derivative of 1934*h - 26 - 60 - 1149*h + 3363*h wrt h. 4148 Let j(c) be the first derivative of 103/5*c**5 - 102 - 3/2*c**2 + 0*c**3 + 2*c + 0*c**4. What is the second derivative of j(o) wrt o? 1236*o**2 Let y(v) be the second derivative of 0 + 3/4*v**5 - 127/12*v**4 - 134*v + 0*v**3 + 0*v**2. What is the third derivative of y(i) wrt i? 90 Let b(c) be the third derivative of 49*c**6/6 - 233*c**3/2 - 626*c**2. What is the derivative of b(f) wrt f? 2940*f**2 Find the third derivative of -16 + n**2 + 230*n - 36 + 65 - 9088*n**4 -
{ "pile_set_name": "DM Mathematics" }
e 14738500? True Is 97011992 a multiple of 56? True Is 5360 a factor of 349382651? False Is 4564755 a multiple of 85? True Does 347 divide 10450261? False Does 252 divide 46430748? True Is 41918377 a multiple of 541? False Does 34 divide 28546455? False Is 128212608 a multiple of 118? False Does 463 divide 6874161? True Does 82 divide 367692428? True Is 217950904 a multiple of 60? False Does 108 divide 4335660? True Is 5101048960 a multiple of 2212? True Does 4 divide 1459550? False Is 4 a factor of 11739236? True Does 420 divide 740283743? False Does 53 divide 24229162? True Is 244 a factor of 2238110984? True Does 2 divide 10353353? False Is 15588848 a multiple of 209? False Is 19030905 a multiple of 2376? False Is 49 a factor of 2398705036? True Does 17 divide 533842772? True Does 25 divide 15701700? True Is 8 a factor of 12095599? False Is 131 a factor of 17658783? False Does 165 divide 6539489? False Is 267 a factor of 8061531? True Does 68 divide 228365352? True Is 45743723 a multiple of 105? False Is 90633198 a multiple of 26? False Is 953975246 a multiple of 40? False Does 230 divide 27188638? False Is 91518797 a multiple of 142? False Is 887403469 a multiple of 18? False Does 578 divide 157615710? False Does 25 divide 25512990? False Is 9 a factor of 16666098? False Is 831898267 a multiple of 71? True Is 1647 a factor of 761446183? False Does 45 divide 42438611? False Does 1468 divide 285136980? True Is 8015553 a multiple of 103? False Does 44 divide 63658892? True Is 485196480 a multiple of 40? True Is 1511 a factor of 278903740? False Is 443 a factor of 554051199? False Does 44 divide 98544390? False Is 142130092 a multiple of 52? True Is 16868977 a multiple of 71? False Is 6 a factor of 5489028? True Does 182 divide 29479446? False Does 197 divide 140809699? False Does 2902 divide 8293916? True Is 372542454 a multiple of 414? True Does 5 divide 43258760? True Is 4081 a factor of 371265202? False Does 86 divide 709172925? False Is 2679030574 a multiple of 61? True Is 5919916 a multiple of 171? False Is 53242522 a multiple of 65? False Is 43497080 a multiple of 344? True Does 131 divide 20201903? True Is 44719008 a multiple of 482? False Is 2099 a factor of 282968720? False Is 73617068 a multiple of 28? True Does 61 divide 11249254? True Does 84 divide 391053582? False Is 267468723 a multiple of 469? False Is 174465832 a multiple of 2006? True Is 3272431406 a multiple of 13490? False Is 704 a factor of 216212480? True Is 2658850 a multiple of 5? True Is 23 a factor of 38335584? False Does 12410 divide 42553890? True Is 237457538 a multiple of 7? False Is 1215544158 a multiple of 1242? True Does 11 divide 4330471? False Is 1224284 a multiple of 281? False Does 860 divide 7469100? True Is 70094736 a multiple of 44? False Is 19040775 a multiple of 39? True Is 128651565 a multiple of 318? False Is 2347693803 a multiple of 5? False Does 1304 divide 2825014600? False Is 1343 a factor of 351507419? True Does 38 divide 6613413396? False Is 1163 a factor of 24728869? True Is 287729620 a multiple of 20? True Is 16366420 a multiple of 32? False Is 31 a factor of 9883849? False Does 8 divide 59744586? False Is 66 a factor of 180589332? True Is 49554466 a multiple of 59? False Is 500272272 a multiple of 29? True Does 549 divide 2603075? False Does 5 divide 65647885? True Does 93 divide 127615902? True Is 506669713 a multiple of 73? True Does 13 divide 437568452? False Is 136 a factor of 1039501347? False Is 492 a factor of 9363252? True Is 769 a factor of 234698800? True Is 632886174 a multiple of 169? False Is 499 a factor of 2785278280? True Is 12196689 a multiple of 2? False Is 299 a factor of 33280310? False Is 26 a factor of 217018762? False Is 421596 a multiple of 441? True Is 174 a factor of 41995157? False Does 216 divide 157074984? True Is 85576226 a multiple of 297? False Does 81 divide 9659925? False Is 78456405 a multiple of 15? True Is 652 a factor of 1132237772? True Is 1466 a factor of 138780356? True Does 51 divide 90930093? True Is 8 a factor of 277129544? True Is 5533 a factor of 1783678743? True Does 64 divide 198996182? False Is 10621545 a multiple of 15? True Is 5547 a factor of 1664246131? False Does 1081 divide 108716170? True Is 124793906 a multiple of 1165? False Does 62 divide 174654536? False Is 14 a factor of 592397610? True Does 282 divide 28701396? True Is 1877 a factor of 134952546? True Is 2233773 a multiple of 100? False Does 406 divide 7432957? False Is 72185168 a multiple of 11? True Does 11 divide 21384913? True Is 1164715346 a multiple of 1033? False Is 52 a factor of 168688894? False Is 6838 a factor of 4961769046? True Is 83 a factor of 1432660260? False Is 217877919 a multiple of 69? True Is 495 a factor of 69716524? False Is 24 a factor of 220712184? True Is 1265299200 a multiple of 3600? True Is 895895724 a multiple of 692? True Is 898425 a multiple of 8? False Is 6246121 a multiple of 1356? False Is 29994929 a multiple of 2? False Is 59854492 a multiple of 8? False Is 2430 a factor of 145522980? True Is 23201910 a multiple of 9? True Is 289903578 a multiple of 12? False Does 10 divide 2251310? True Is 76 a factor of 34110092? True Is 40 a factor of 74821520? True Does 183 divide 4412661? False Does 4190 divide 212521059? False Is 818 a factor of 669367764? True Is 12143479 a multiple of 154? False Does 22 divide 15593585? False Is 73708455 a multiple of 1709? False Is 202 a factor of 573012477? False Is 5 a factor of 2192902150? True Is 33388836 a multiple of 6? True Is 2445434030 a multiple of 103? False Is 1090236 a multiple of 7? True Does 373 divide 317653887? True Does 82 divide 36881304? True Does 2107 divide 1278445? False Does 14 divide 145220477? False Is 104804076 a multiple of 13? True Is 1712304795 a multiple of 68? False Does 1557 divide 3828277? False Does 14 divide 84719838? True Is 72 a factor of 84182040? True Is 9313 a factor of 115821951? False Is 219170443 a multiple of 278? False Is 23 a factor of 53275548? False Is 123560204 a multiple of 273? False Is 51 a factor of 38749749? True Does 37 divide 1622701082? True Is 130 a factor of 33516669? False Does 8 divide 3133331900? False Does 19 divide 2214944? True Is 180 a factor of 34646040? True Is 18 a factor of 56623824? True Is 2025 a factor of 379258200? True Is 49533556 a multiple of 324? False Is 139933575 a multiple of 513? True Is 825 a factor of 134414775? True Does 456 divide 286780306? False Is 250485524 a multiple of 9? False Is 6 a factor of 215941526? False Is 14 a factor of 117336661? False Does 592 divide 607596832? True Does 19 divide 22857513? True Is 4 a factor of 1631801? False Is 1378282964 a multiple of 131? True Does 1951 divide 237196162? False Is 178131445 a multiple of 1221? False Does 1867 divide 159441800? True Does 2054 divide 24925290? True Is 116 a factor of 673445776? False Does 1190 divide 1111694692? False Does 26 divide 226060306? False Does 25 divide 35297198? False Is 724136310 a multiple of 8? False Does 4 divide 195944677? False Is 6686817228 a multiple of 26? True Is 6189 a factor of 384114096? True Is 212 a factor of 1394913148? True Does 9 divide 710126196? False Is 66593294 a multiple of 495? False Is 87 a factor of 184853250? True Does 187 divide 28646153? False Is 14 a factor of 174825721? False Is 2045719055 a multiple of 111? False Is 39260272 a multiple of 1394? False Is 84368050 a multiple of 325? True Is 14453660 a multiple of 260? True Does 106 divide 556804008? True Does 244 divide 48783989? False Is 3 a factor of 17322073? False Does 45 divide 54123120? True Is 4455246 a multiple of 6? True Is 25974960 a multiple of 11? True Is 707610788 a multiple of 986? True Does 70 divide 416829700? True Is 291056584 a multiple of 6? False Is 599 a factor of 284326132? True Is 892 a factor of 4085360? True Is 78434350 a multiple of 1346? False Does 49 divide 770754028? False Is 75 a factor of 1577077? False Is 905 a factor of 3018010022? False Does 149 divide 132215743? False Is 28645307 a multiple of 39? False Does 4788 divide 3084070500? True Does 786 divide 220961892? True Does 989 divide 36960908? True Is 4 a factor of 25939044? True Is 318 a factor of 29019979? False Is 111 a factor of 95
{ "pile_set_name": "DM Mathematics" }
z))**(-1/12) assuming z is positive. z**(2087/3780) Simplify s**(-8)*s**8*(s**(-1/5)*s)**(-24) assuming s is positive. s**(-96/5) Simplify ((m*m**(-2/11))/(m/((m*m**(2/17))/m*m)))/(m**30)**(-13) assuming m is positive. m**(73105/187) Simplify (x/x**(6/19)*x**(2/19))/(x**(-6))**(-2/39) assuming x is positive. x**(119/247) Simplify ((z*z/(z*z**(6/5)*z))/z*z)**40/((z/z**(2/113))/(z**6*z)) assuming z is positive. z**(-4744/113) Simplify (z**(-3)*z**34)**2 assuming z is positive. z**62 Simplify i/((i**(4/3)/i*i)/i)*i**0*((i/((((i/((i/i**(-2))/i*i))/i)/i)/i))/i)**(1/32) assuming i is positive. i**(79/96) Simplify (t*t**1)**5/(t**3/t*t*t**11) assuming t is positive. t**(-4) Simplify k/(k/(k/(k/(k*k**(2/25)/k))))*k/((k*k**(3/8))/k*k)*k*(k**2)**(-46) assuming k is positive. k**(-18259/200) Simplify ((a**5/(a/((a/((a/(a**(-2/67)*a)*a)/a)*a*a)/a)))**47)**(2/9) assuming a is positive. a**(37600/603) Simplify j**(-3/5)/(((j/(j**(-1/9)*j))/j)/j)*j**29*j**31 assuming j is positive. j**(2758/45) Simplify ((y/y**(-1))**(-46)/(y**(-4/7)/y*y**(-1/6)))**(-16/9) assuming y is positive. y**(30328/189) Simplify m**13/((m/(m**(-1/11)/m))/m)*m**13*m**24/m assuming m is positive. m**(527/11) Simplify (h*((h*h/(((h*h*(h**(3/5)/h)/h)/h)/h))/h)/h*h**(2/15))**(10/13) assuming h is positive. h**(76/39) Simplify q**(-1/2)*(((q*q/q**(-5/4))/q)/q)/q*q/(q*q**8*q)*q*q**(-19) assuming q is positive. q**(-109/4) Simplify (s*s**(-1/16)/s)/s**(9/2)*((((s*s**(3/8)*s*s)/s)/s)/s)/s**(3/26) assuming s is positive. s**(-895/208) Simplify (((m/(m**(-3)/m))/(m/(m/(m/m**(1/3)))*m))**2)**(-5/3) assuming m is positive. m**(-100/9) Simplify (m**4*m)**(-20/9)/((m**(1/11)*m)/m*m/m**(-2/3)) assuming m is positive. m**(-1274/99) Simplify h**(-12)/((((((h**(-4/23)*h)/h)/h*h)/h)/h)/h*h)*((h**(1/5)/h*h)/h)**(-2/15) assuming h is positive. h**(-16766/1725) Simplify (((a*a/(a/(a**(2/11)*a*a)))/a)/(a*a**(-12)/a))/((a**(-2)/a)/a)**(-8/13) assuming a is positive. a**(1676/143) Simplify o/(o/(o*o/(o/(o**27/o))))*o**(-11)*(o*o*o*o**(-31)*o)/o*(o**(-3/13)*o)/o assuming o is positive. o**(-159/13) Simplify (u**(-3)/u)**(-1/34)/(u*u**(-6)/u)**(1/11) assuming u is positive. u**(124/187) Simplify (t**(-8/7))**(-1/8)*(t**(1/42)*t)/(t/(t*t**(-25))) assuming t is positive. t**(-143/6) Simplify ((b*(b/(b/b**(-2/5)))/b*b)/b)**(-3/13)/((b*b**(-6))/(b*(b/(b/(b*b/b**(2/9)*b)))/b*b)) assuming b is positive. b**(5189/585) Simplify ((p**(2/3)*p)/p)**37/(p/p**(-9)*p*p**(2/11)/p) assuming p is positive. p**(478/33) Simplify (n**7/(n*n**(7/5)))/((n/n**9)/n**(1/4)) assuming n is positive. n**(257/20) Simplify (v/v**(2/9))**44*(v/v**2)**(-5/2) assuming v is positive. v**(661/18) Simplify ((i/(i**0/i))/i)**20/(i**(-6))**(-15) assuming i is positive. i**(-70) Simplify (((a*a/((a*a/a**(5/2)*a)/a))/((((a*a*a/a**(-1/14)*a)/a)/a)/a))/((a/a**0)/a)**(6/7))**(15/2) assuming a is positive. a**(75/7) Simplify ((((a**(-1/3)/a)/a)/a**1)/((a*a**2)/a*a)**(1/14))**(-8/5) assuming a is positive. a**(596/105) Simplify (n**4*n*n)**37*n**(11/4)*n**11 assuming n is positive. n**(943/4) Simplify ((x/x**(-1)*x**4)/(((x*(x/((x/x**(-3/2))/x)*x*x)/x*x*x)/x)/x*x/(x*x**(5/3)/x)))**(2/61) assuming x is positive. x**(31/183) Simplify a*a*a**32*a*a**(1/9)*(a*a**(13/3))/((a/(a/(a*a**(-2/31)*a)))/a) assuming a is positive. a**(11023/279) Simplify (a/(a**(-12/11)*a))/(a/((a*a/(a/a**(-3/17)))/a))*(a**29/a*a)/a*a*a/(a/a**(-3/2)) assuming a is positive. a**(10253/374) Simplify (((r*r*r**(-1/3)*r)**22)**(-28))**13 assuming r is positive. r**(-64064/3) Simplify ((y**(1/10))**(2/75))**(8/5) assuming y is positive. y**(8/1875) Simplify (w/((w/(w**(-1/14)/w))/w))**(1/5)*w**(-1/3)/(w*w**17) assuming w is positive. w**(-3853/210) Simplify ((d/(d*d/(d**(5/4)*d)))/d*d/(d**(-2/29)*d))/(d/(d**(-1/3)/d*d)*(d**(1/6)/d)/d) assuming d is positive. d**(95/116) Simplify (p*p*(p/p**(2/3))/p*p**11*p)/((p/(p*p**(-1/30)/p))/p**(-16)) assuming p is positive. p**(-37/10) Simplify (o**(-12)*o*o*o/o**0*o*o*(o*o**(1/22)*o)/o**(-2/3))**(-9/2) assuming o is positive. o**(849/44) Simplify (z*z*z/(z**(-13)*z))/(z*z/z**(-2/7))*z**0*z*z**(5/4) assuming z is positive. z**(419/28) Simplify (v**(-1/14))**(-4/3)/(v**19)**(3/5) assuming v is positive. v**(-1187/105) Simplify ((f**2*f*f*f**(1/4))/(f**(-5)/(f**(1/5)*f*f)))**34 assuming f is positive. f**(3893/10) Simplify (n**(4/11)*n/((n/(n/n**(1/16)))/n))/(n/(n*n**10)*n**(2/11)) assuming n is positive. n**(2133/176) Simplify ((v*v/(v*v**(-6))*v*v)/v**(-3/7)*(v**(-3))**(2/41))**(-30) assuming v is positive. v**(-79920/287) Simplify (z**(-2)*z)**28/(z*z/(z*z/(z*z**(3/10)/z)*z)*z**1/z) assuming z is positive. z**(-273/10) Simplify ((q/(q*q*q*q**(5/6))*q**(-4))/(q**8/q**(-2/5)))**(-2/37) assuming q is positive. q**(457/555) Simplify (r**11/r*r**(1/15))/(r**(-1/7)*r**(2/23)*r*r) assuming r is positive. r**(19616/2415) Simplify ((((i*i*i/(i*i**19*i))/i)/i**(1/9))**(-47))**16 assuming i is positive. i**(129344/9) Simplify (a**(-15)/(a*(a**(-2)*a)/a))**(3/2) assuming a is positive. a**(-21) Simplify (m**(-2))**(6/13)/(m**(-9))**4 assuming m is positive. m**(456/13) Simplify b/(b**11*b)*b/((b*b**(-1/8))/b)*(b*b**(-2)*b)**(-17/4) assuming b is positive. b**(-79/8) Simplify ((g**(1/23)*g)/g**(3/17))/(g/(g/g**19*g))**(-23/6) assuming g is positive. g**(27318/391) Simplify ((((((i*i**(1/9))/i*i)/i*i)/i)/i**4)/((i/i**(-1/3))/i*i*i/i**(-6)))**36 assuming i is positive. i**(-440) Simplify ((g*g**(3/8))/g)/g*g*g*g**8*g**(-10)*g**17 assuming g is positive. g**(131/8) Simplify (((k**(-11/4))**16)**(5/9))**(-1) assuming k is positive. k**(220/9) Simplify (k**(6/13)/k**10)/(k/k**(-2/19)*k**(-23)) assuming k is positive. k**(3052/247) Simplify ((u*u**(-6))**(-2/25))**(-14/9) assuming u is positive. u**(-28/45) Simplify (((t**(-3))**(8/9))**(-10))**(-34) assuming t is positive. t**(-2720/3) Simplify r**12*(r/r**(-12))/r*(r/(r/(r*(r**3/r)/r)*r))/r*r/r**(-1/4) assuming r is positive. r**(101/4) Simplify ((b/(b**(-8/5)/b)*b)/b**(2/19))/((b/(b/b**(3/7)))/(b**18*b*b*b)) assuming b is positive. b**(16669/665) Simplify (x**(-1)/(x*x**0))/(x**(-4)*x*((x*(((x/(x/(x**5*x)))/x)/x*x*x)/x*x)/x)/x) assuming x is positive. x**(-4) Simplify ((o/(o**(1/5)/o*o))**(-16)*o**(-2/5)/((o/(o**(1/6)/o))/o))**32 assuming o is positive. o**(-6736/15) Simplify h**(1/5)*h**(1/2)*((h/(h/(h/(h*h*h/(h*h**(3/2))))))/h)**(-1/30) assuming h is positive. h**(43/60) Simplify ((q/(q/(q*q**(-11/5))*q))/((q*q*(q/q**(2/21))/q)/q))**(1/56) assuming q is positive. q**(-163/2940) Simplify ((v**27/v*v*v)/v)/(v**(-1/2)/v)*v**(-1/3)/v*v/v**(-2/19) assuming v is positive. v**(3223/114) Simplify (u**9/(u*u*u**(9/7)))/(u*u*u/u**26*u*u**(-1/4)) assuming u is positive. u**(783/28) Simplify ((g/g**(-2))/(g**(3/4)/g))/(g**1)**(-36) assuming g is positive. g**(157/4) Simplify (f/(f/(f**(-2/47)*f)*f)*f*f/(((f/(f*f**9*f))/f)/f)*f*f)**(12/13) assuming f is positive. f**(9000/611) Simplify l**(-7)*l*l/((l*l*l*l*(l/(l/(l*l**(-23)*l)*l*l))/l*l*l*l)/l*l)*l*(l*l**8/l*l*l)/l*l**22*l assuming l is positive. l**45 Simplify ((h*h**(-2/7)/h)/h**(2/27))/((h*h**(-4/3))/(h/(h*h**(-1/17)*h))) assuming h is positive. h**(-3109/3213) Simplify (b**(-2/11))**(-3)*b**(6/5)*(b*b*b*b**(3/2)*b*b*b)/b assuming b is positive. b**(907/110) Simplify (f*f**10*f*f/((f**(2/15)/f*f)/f)*(f**(-1))**15)**(-4/5) assuming f is positive. f**(68/75) Simplify (y*y*y*y**(3/2)*(y/((y/(y**(-3)/y))/y))/y*(y/(y/((y*y/y**2)/y)))**(-36))**(1/21) assuming y is positive. y**(73/42) Simplify (q**1)**7/(q*q/((q*q**(-1/9)*q)/q))**(6/5) assuming q is positive. q**(17/3) Simplify (c**(15/4)/c**1)/((c/(c/(c/(c**(7/6)*c*c))))/(c/(c/(c*(c/c**(-2/41))/c*c))*c)) assuming c is positive. c**(3919/492) Simplify (g/g**3)/(g*g**(-9))*(g**12*g)/(g**(-4)/g) assuming g is positive. g**24 Simplify p**(-11)/(p*p**(-16)*p)*p**(6/5)/((p*(p/p**(-6/5))/p*p)/p*p) assuming p is positive. p Simplify ((f**3/(f*f**4*f))**38)**(-23) assuming f is positive. f**2622 Simplify (a**20)**(-2/7)/((a*a/(a/a**(-1/11)))/a**(-1)) assuming a is positive. a**(-587/77) Simplify (k**(3/5)/k**16)/((k*(((k/(k*k**(1/2)))/k*k)/k)/k)/k**(-8)) assuming k is positive. k**(-219/10) Simplify (((k*k*k/(k*(k**(1/2)*k)/k*k*k*k*k)*k*k)/k)**(-44)*k*(k/((k*(k*k/(k*k*k**(3/5))*k)/k)/k*k*k))/k*k**3)**(-36) assuming k is positive. k
{ "pile_set_name": "DM Mathematics" }
Solve 0 = 442*i - 29475 - 8016 - 7151 for i. 101 Solve -626*g - 3864 = -764*g for g. 28 Solve -1213*f - 1742 + 19862 + 21911 = 1215 for f. 32 Solve 2059*z + 1508 = 2141*z + 4132 for z. -32 Solve 34*c - 181 - 2131 + 728 - 558 = 0 for c. 63 Solve -1068*q - 1055*q = -2116*q - 315 for q. 45 Solve -4603*v + 2330*v = -20648*v + 1194375 for v. 65 Solve 8251 - 2275 = 332*v for v. 18 Solve 80732 - 69505 = -109*r for r. -103 Solve 16*z - 57 + 56 = -30 - 339 for z. -23 Solve -2400*y = -38174 + 2174 for y. 15 Solve 645*r + 480*r + 22785 = -394*r for r. -15 Solve 9414*a - 9804 = 9528*a for a. -86 Solve -427*f = -4078*f + 160644 for f. 44 Solve 269*z - 275*z - 96 = 0 for z. -16 Solve 785 - 31258 = -345*w - 4598 for w. 75 Solve 206*z - 8056935 + 8048077 = 0 for z. 43 Solve -157*x + 15*x = -92*x + 162*x - 13144 for x. 62 Solve 15*f - 63*f + 45*f = -60*f + 399 for f. 7 Solve 208*d + 366*d = 68*d - 12144 for d. -24 Solve 0 = 74*j + 58964 - 62072 for j. 42 Solve 10*j - 1109141 = -21*j - 1109358 for j. -7 Solve 11*s + 14 + 62 = 7*s for s. -19 Solve -171*x - 130 = 1238 for x. -8 Solve -530*r + 32807 = -87*r + 11986 for r. 47 Solve 6793 + 2674 = 214*l - 2027 + 794 for l. 50 Solve 8871*x + 743063 = 18116*x + 14428*x - 819355 for x. 66 Solve -96160 = -4998*q + 368654 for q. 93 Solve 3762061*r - 3762098*r + 1776 = 0 for r. 48 Solve -31614*c + 31622*c + 9 + 23 = 0 for c. -4 Solve -25*c + 2554612 = 2552562 for c. 82 Solve -16414*g - 1518 = -16447*g for g. 46 Solve -283*c = 83788 - 95957 for c. 43 Solve 707*k + 150*k - 4056 + 20339 = 0 for k. -19 Solve -27*z + 813 = -19*z + 821 for z. -1 Solve 40852*b - 41586*b = 26424 for b. -36 Solve 116440*o = 116553*o - 4294 for o. 38 Solve 0 = -14*x - 195*x + 6273042 - 6270952 for x. 10 Solve 0 = -36122*q + 18098*q + 18067*q + 1806 for q. -42 Solve -233*n + 252 - 1327 = 90 for n. -5 Solve -4*v - 76*v - 5*v + 2044 - 5274 = 0 for v. -38 Solve -3752 = -810*p - 3077 - 19305 for p. -23 Solve -1652 = 3451*p + 6476 + 5676 for p. -4 Solve 4718*o = -48907 - 168121 for o. -46 Solve 40135 = 1092*b - 5729 for b. 42 Solve 0 = 25*g - 95*g - 632 - 558 for g. -17 Solve 1651 = 135*m - 72*m + 104*m + 2486 for m. -5 Solve -862*i + 17593 + 21197 = 0 for i. 45 Solve 48111*h = 48088*h + 506 for h. 22 Solve 71*d + 12*d = -70*d - 191*d + 15136 for d. 44 Solve -63*x + 36498725 - 36492614 = 0 for x. 97 Solve 825*a - 15442 = -1381*a for a. 7 Solve -3328*m - 442560 = -44*m + 3631*m for m. -64 Solve -924*v + 21729 = 2593*v + 222198 for v. -57 Solve -1569*q + 18674 = -45655 for q. 41 Solve 0 = -270*t - 350*t - 24800 for t. -40 Solve -46*r + 366 = 31*r - 16*r for r. 6 Solve 294*n + 682 - 35 = 59 for n. -2 Solve -128*c + 718*c + 819*c = 76*c - 35991 for c. -27 Solve 551*j = 283*j - 23584 for j. -88 Solve 2003*z = -1606*z - 1519*z + 380*z + 645728 for z. 136 Solve 1211*f + 189*f - 9800 = 0 for f. 7 Solve -474*t + 17732 = -6675 + 4499 for t. 42 Solve 632*x - 5567 + 1132 = 4123 + 4714 for x. 21 Solve -1115*o + 74014 = -282*o + 776*o for o. 46 Solve -45 = -166*l - 563 + 1016 for l. 3 Solve -74*i - 211*i - 30954 = 79*i + 98*i for i. -67 Solve 710*s + 53313 = -160*s - 497*s for s. -39 Solve 48*z = 4*z - 2107 + 2459 for z. 8 Solve -305*a + 616*a = 302*a - 234 for a. -26 Solve -305*m + 1697*m = 24335 + 50833 for m. 54 Solve -62*s + 3857 - 3485 = 0 for s. 6 Solve -16468 = 6758*l - 6579*l for l. -92 Solve -479*t + 26731 + 5483 = -66*t for t. 78 Solve 86*q + 2662 + 233 + 3188 = 163*q for q. 79 Solve -12529*n - 13583*n + 2323968 = 0 for n. 89 Solve -224*s = -745*s + 9378 for s. 18 Solve 91*r + 31866 = -50*r - 141*r for r. -113 Solve 1607 = 176*n - 3335 - 8610 for n. 77 Solve -345*y - 13710 = 898 - 118 for y. -42 Solve -12955*f - 296736 = -15203*f for f. 132 Solve 0 = 1269142*y - 1269302*y + 5600 for y. 35 Solve -153*g + 9171 + 8606 = 642*g + 6647 for g. 14 Solve -25*h + 218*h - 14*h + 7595 = -38*h for h. -35 Solve 213*y - 1239 = -5676 - 2805 for y. -34 Solve -130*r + 32339 = 26099 for r. 48 Solve 335*h - 1152 - 3942 = -1016*h + 1661 for h. 5 Solve 39*c - 4709 = -13*c - 5749 for c. -20 Solve 477*z + 1207 = 40677 + 1663 + 7998 for z. 103 Solve 7622 - 2474 = -3870*t + 3987*t for t. 44 Solve 0 = -7362*o + 7376*o + 70 for o. -5 Solve 5774*c + 6234*c = -893*c - 428110 - 320148 for c. -58 Solve 279*n + 5198 = -14559 + 4133 for n. -56 Solve -545*b - 2472*b + 5113 = -181941 for b. 62 Solve 6096*x + 412205 - 146335 = 1262*x for x. -55 Solve 224*n - 4639 - 5468 = -3163 for n. 31 Solve 2343*r = 2026*r - 2080*r + 153408 for r. 64 Solve -68 = q - 98 for q. 30 Solve -46446 - 39548 - 34038 = 2728*n for n. -44 Solve -128*i - 1158 - 2965 + 1676 = 2289 for i. -37 Solve -184*k - 2597 = -205*k - 128*k + 6641 for k. 62 Solve 18446 - 4388 = 2554*s - 65116 for s. 31 Solve -208*j + 190*j = -103*j + 170 for j. 2 Solve -119*x + 198 = -12*x - 765 for x. 9 Solve 1232*b - 3314*b = 4931*b + 236420 + 51113 for b. -41 Solve 2500*v + 1150*v + 4065*v = -8140*v + 79275 for v. 5 Solve 1089 + 902 = 6492*x - 3255 - 1246 for x. 1 Solve -2009*s = -484*s - 64050 for s. 42 Solve 2997 = -35*u + 35*u + 111*u for u. 27 Solve 1315*n = -269*n - 842*n - 283842 for n. -117 Solve 0 = -21807*v + 20966*v + 19343 for v. 23 Solve 12196*x - 84521 - 228455 + 20000 = -24664 for x. 22 Solve 4164*i + 171273 = -148686 + 65955 for i. -61 Solve -5889*g + 5891*g + 58 = 0 for g. -29 Solve -227*m + 0*m + 779*m = -655*m - 31382 for m. -26 Solve 2110*j + 653 = 7036 + 4167 for j. 5 Solve 0 = 373*i - 90*i + 286*i + 29019 for i. -51 Solve -270*m - 169*m + 61 + 111 = -353*m for m. 2 Solve 3807*h + 66477 + 120706 = -102149 for h. -76 Solve 915159 = -10*s + 915189 for s. 3 Solve -2*q + 5895 = 531*q - 3166 for q. 17 Solve -98*w + 1388*w + 545*w = -489*w - 23240 for w. -10 Solve 826*w + 362100 = 4916*w + 1010*w for w. 71 Solve 220 = 105*k - 475 - 1333 - 2172 for k. 40 Solve 0 = 4764*a - 2384*a - 2379*a + 104 for a. -104 Solve 0 = 981*r - 8950 + 48190 for r. -40 Solve -309*g + 273 = -296*g for g. 21 Solve 6050*z = 6121*z - 639 for z. 9 Solve 3354*d = -94095 - 207765 for d. -90 Solve -62154 + 6468 - 19199 = 881*g for g. -85 Solve -390*p + 386*p = 1076*p + 2065 + 95 for p. -2 Solve 1387*l + 44959 + 34731 = -11294 + 20247 for l. -51 Solve 56948*n - 56816*n = 2640 for n. 20 Solve 197*a + 359*a = 85*a + 326 + 6739 for a. 15 Solve 11727 = -611*i + 227*i - 16305 for i. -73 Solve 1776*j + 8804*j + 42161 - 803921 = 0 for j. 72 Solve 21*f - 5456 - 1716 = -142*f for f. 44 Solve -1201*v + 2464*v - 5518 = 1180*v - 1866 for v. 44 Solve -279*g + 20520 = 87*g + 174*g for g. 38 Solve -20710*a = -2717*a - 68460 - 1083092 for a. 64 Solve 3075 = 49290*q - 49413*q for q. -25 Solve 0 = -51*t + 445*t - 7880 for t. 20 Solve -31205*b + 4862 = -31018*b for b. 26 Solve 7541*u - 7528*u = -234 for u. -18 Solve -90*g - 67*g + 37 + 120 = 0 for g. 1 Solve 5*l - 597 = -66*l - 4641 + 565 for l. -49 Solve -31004 = 1903*b + 54631 for b. -45 Solve -855*k - 5952 = -1580*k + 818*k for k. -64 Solve -520*n + 24145 = 130*n - 23305 for n. 73 Solve -124*a + a = -28*a - 43*a + 1352 for a. -26 Solve -61*w - 216 = -425 - 1163 - 275 for w. 27 Solve -316*a - 22204 = 477*a for a. -28 Solve -358*o + 78*o - 5600 = 0 for o. -20 Solve -24*m + 21*m = -34*m + 124 for m. 4 Solve -31*i - 1567 = 26*i - 19*i + 219 for i. -47 Solve -12273*l - 92335 - 170765 = 276912 for l. -44 Solve 3771*a + 6932 = 3946*a - 1118 for a. 46 Solve -60 = 34*n + 46 - 174 for n. 2 Solve -928*l = 1572*l - 30000 for l. 12 Solve 73*i = -39*i + 60 + 7556 for i. 68 Solve -102426 + 628588 = -10738*q for q. -49 Solve 0 = -1424*y - 103187 + 34835 for y. -48 Solve 10370 = 2580*l - 2750*l for l. -61 Solve 3412 = -1270*h + 2598 + 60504 for h. 47 Solve -999 = -17*x + 11*x - 21*x for x. 37 Solve -2120 = -193*f + 10*f - 29*f for f. 10 Solve 10256*u = 555 + 214760 + 359021 for u. 56 Solve -14*v - 264*v - 122 + 122 = -2*v for v. 0 Solve 186889 - 233270 - 228453 - 328216 = 8615*k for k. -70 Solve 1152 = -405*i - 398*i + 1116*i - 385*i for i. -16 Solve -622 = 152*l - 463*l for l. 2 Solve -261*c - 1330*c = 1510*c + 909*c + 116290 for c. -29 Solve 354*m - 1358*m + 61559 = -44865 for m. 106 Solve 37268 + 287342 = 2270*m for m. 143 Solve -91*x + 130760 = 68000 + 68311 for x. -61 Solve 114*v + 3624 = 2484 for v. -10 Solve -288*y - 1467 = -777*y for y
{ "pile_set_name": "DM Mathematics" }
= -3*r, -r + 4*r = 15 for w. 0 Solve 0 = 2*w + 3*v - 4, 0*w + 2*w - 8 = -5*v for w. -1 Solve -4*w = -2*i - 26, 4*w - 36 = 4*i - 0*w for i. -5 Solve i - j = 4*i - 9, 1 = -i + j for i. 2 Solve 2*g = -2*u + 14, g - 13 = -9*u + 7*u for u. 6 Solve -30 + 5 = -5*o - 3*v, -5*o + 25 = -v for o. 5 Solve 0 = -4*f + q - 8, -3*f + 3 - 28 = 4*q for f. -3 Solve f = -3*s + 14, -4 = -4*f - 3*s + 7 for f. -1 Solve 5*o + 5 = 0, -v + 2 = o + o for v. 4 Solve -5*l - 19 = -3*n - 0*n, 25 = -3*l - 5*n for l. -5 Solve -3*h - 20 = 2*h - 5*o, -12 = 3*h - 2*o for h. -4 Solve f + 3*w - 16 = 0, -5*f = -2*f + 2*w - 20 for f. 4 Solve 4*l - 1 + 5 = -y, 7*l = -2*y - 7 for y. 0 Solve 2 = -4*n - 2*d - 2, 3*d - 6 = 0 for n. -2 Solve -5*h - 1 = 3*v - 7, -3*v + 6 = -4*h for h. 0 Solve 2*b - 3 = -x, 3*b + 6 = 3*x - 8*x for b. 3 Solve 0 = -3*m + h + 16, 33 - 11 = 5*m + 3*h for m. 5 Solve 6*q = -u + 3, -9*q = -u - 7*q - 5 for u. -3 Solve -14*t + 120*f - 119*f = -60, 0 = 2*t + 4*f + 8 for t. 4 Solve 5*t = 2*s + 20, -2*t = -15 + 7 for s. 0 Solve 0*g + 5*u - 17 = 3*g, 4*g + 5*u - 24 = 0 for g. 1 Solve 0*p + 2*a - 9 = -p, 2*p + 2*a = 6 for p. -3 Solve 5*o + 5 = 0, -3*o = 5*x + 16 - 8 for x. -1 Solve -3*l - 5*g = -17, -l - 5*g = -g - 8 for l. 4 Solve 2*p - r + 6 = 0, 3*p + 4*r = 8*r - 9 for p. -3 Solve 5*s - 4*h = h, 13*h = 16*h for s. 0 Solve 304*i - 300*i = -2*z - 12, -2*i - 4 = 0 for z. -2 Solve 8*m - 5*m = 2*x - 9, -3*m + x = 9 for m. -3 Solve -2*v - 10 = -y, 5*y - 4*v - 18 = 4*y for y. 2 Solve 3*c = -4*s + 13, -6*s = -2*s + 2*c - 10 for s. 1 Solve 2*p - 2*n = -18, -41*p + 46*p + 33 = 2*n for p. -5 Solve 0 = o - n - 4, 3*n = -21*o + 26*o - 16 for o. 2 Solve 12 = 3*d + 4*j, -16 + 4 = 2*d - 4*j for d. 0 Solve -d + 0*y - 2*y = 0, 4*y - 4 = 0 for d. -2 Solve -2*v + 8 = 3*z + 1, 5*z - 2*v = -15 for z. -1 Solve 0 = 4*s - 5*h + 24, -4*s - 5*h = -2*s - 18 for s. -1 Solve 5*g + 8 - 7 = 3*x, 7*x = -3*g - 27 for x. -3 Solve 9 = 2*d - v, 4*d = v - 14 + 29 for d. 3 Solve 3*d - 2 = v, -2*v = -3*v + d - 4 for v. -5 Solve -3*u = -3*s + 24, 3*s - 8*u + 9*u = 0 for s. 2 Solve 12*v + 55 = 23*v - d, 0 = 3*v + d - 15 for v. 5 Solve 2*s + 9*w - 6*w + 8 = 0, -3*w - 16 = -2*s for s. 2 Solve -2*a = -4*r, -4*a = 5*r - a + 22 for r. -2 Solve -3*n - 150 = 4*q - 136, 0 = 5*n + q - 5 for n. 2 Solve t + 11 + 11 = -5*c, -2*c - 2*t = 12 for c. -4 Solve -5*f - 7*p = -2*p + 40, -2*f + 3*p = -9 for f. -3 Solve -5*x + 4*n + 7 = 0, 4*n - 6 + 16 = 2*x for x. -1 Solve 3*z - 11 = -2*w, 2*z + 4*w + 24 = 26 for z. 5 Solve -25 = -b + 45*f - 50*f, 5*b + 4*f + 1 = 0 for b. -5 Solve 6 = 3*b + 4*n - 2, 2*n = 3*b + 4 for b. 0 Solve -2*r + 2 = 0, -2*p + 5*r - 7 = -4*p for p. 1 Solve -4*a + 25 = -5*k - 20, 0 = -3*a - k + 10 for a. 5 Solve 5*d - w - 6 = 4*d, -w = 5*d - 6 for d. 2 Solve 0 = -3*p + 2*u - 4, -5*p + 4*u + 0 = 4 for p. -4 Solve 3*d - b - 20 = 0, -d = 3*b - 4*b - 10 for d. 5 Solve 2*d = k, d + 2*k - 4 = 1 for d. 1 Solve 4*l - 6 = 14, 2*i - 22 = -4*l for i. 1 Solve 5*v = 3*i + 11, 0 = -2*i + 2*v - 5*v + 18 for i. 3 Solve 0 = y + 3*j + 11, 4*y + 4 = -0*y - 2*j for y. 1 Solve -2*l = 2*v + 2, -2*v - 3 + 5 = 3*l for l. 4 Solve -94*q + 11 = -91*q + z, 0 = 3*q + 5*z + 5 for q. 5 Solve -t = p + 4, 0 = 10*t - 7*t - 5*p - 28 for t. 1 Solve -3*y + h = -4*h - 5, -y = 3*h - 11 for y. 5 Solve 3*o - 5*d - 22 = 0, -5*o + 20 = 4*d + 8 for o. 4 Solve l = 2*t - 1, 0 = -l - 3*t + 2*t + 5 for l. 3 Solve 9*m - 3*n = 12*m - 6, 4*m = 4*n for m. 1 Solve 5*d = -5*o, 2*d = -2*o + 6*o - 12 for d. -2 Solve -3*f - 25 = 2*f, -2*b - 1 = -f for b. -3 Solve 4 = 2*q + 3*h, -3*q + 7 = 4*h + 2 for q. -1 Solve -3*i + 3*w = -12, -18*i + 21*i - 5*w = 12 for i. 4 Solve -4*c = j + 24, 27*c = 30*c - 5*j - 5 for c. -5 Solve -2*l - 3*c - 17 = 0, 8 = -l - 3*c - 8 for l. -1 Solve -4*o + 6*s = 2, 20*o - 16*o - 5*s + 3 = 0 for o. -2 Solve c - 3*b = -c - 1, -b = -c for c. 1 Solve -4*a - 16 = 0, -5*a = 4*o + o + 20 for o. 0 Solve 4*k + y + 30 = -y, 4*k + y + 25 = 0 for k. -5 Solve -5*n + 5*d = -6 + 1, -2*n = -d - 1 for n. 0 Solve 0 = 4*g - x + 5, 2*g + 2*x = -g - 12 for g. -2 Solve 3*p + 21 = 2*v, 0 = 4*v + 27*p - 28*p - 7 for v. 0 Solve -4*l + 12 = 0, x - 18 = -0*x - 5*l for x. 3 Solve 6*z = 2*z + 4*g, -5*g = z + 12 for z. -2 Solve 6*j = 11*j + 5*v - 25, 3*j = -4*v + 16 for j. 4 Solve 11*s = -3*f + 13*s + 15, 3*s = 0 for f. 5 Solve 0*y = -5*o + 3*y + 35, 4*o - 3*y = 31 for o. 4 Solve 2*a - 8*a - 3*j = -27, 2*a - 5 = 3*j for a. 4 Solve 0 = 4*a - 2*h - 20, 4*a - 18*h = -14*h + 28 for a. 3 Solve r - 10 = -5*n, -r - 12*n - 2 = -11*n for r. -5 Solve -2*s + 0 = -y - 2, 4*y = 4*s + 4 for y. 4 Solve 4*m - o = 3*o + 8, -5*o + 6 = -m for m. 4 Solve 1 + 4 = u + 2*h, -4*h = -12 for u. -1 Solve -3*x = m - 13, 4*m - 2 = -4*x + 26 for m. 4 Solve -3*l - 40 = -3*j - 31, -5*l - 25 = 5*j for j. -1 Solve -1 = 5*a - 51*g + 48*g, 0 = a - 2*g - 4 for a. -2 Solve 5*o - 3 = -k + 8, 5*o + 1 = -4*k for o. 3 Solve 2*p + 28*g - 27*g = 3, 2*g - 15 = 5*p for p. -1 Solve z + s = -1 + 7, 2*s + 12 = 4*z for z. 4 Solve 3*o = 2*x + 5, -4*o = -x - 7*o - 7 for x. -4 Solve -3*u = -2*p + 9, 2*p - 6 = -5*u - 5 for u. -1 Solve -c - 5*d = -6, -3*c + 2 = -2*c + d for c. 1 Solve l = -4*k + 2*l + 1, 30 = -5*k - 5*l for k. -1 Solve 0*y - 3*y = -4*f + 1, -5*y = -2*f + 11 for y. -3 Solve q = -3*x, -3*x - 2*x = -5*q for q. 0 Solve 5*v = 3*b + 10, -5*b = -v + 9 - 29 for b. 5 Solve 29 = 4*n + 3*s, 4*n + 4 = 3*n + 3*s for n. 5 Solve 5*b + 15 = 5*x, 6*x = 2*x + b + 12 for x. 3 Solve 0 = 5*y - 2*k + 14 - 34, -5*y + 5 = k for y. 2 Solve q + 2*d - 1 = 0, 3*q + 3*d = 8*d + 3 for q. 1 Solve 2*d + 1 = -5*z - 18, -3*z = d + 12 for z. -5 Solve -4*f + m + 4 = 0, -3*f = 2*f - 5*m + 10 for f. 2 Solve -4*o + 15*j - 16 = 13*j, 2*o = -3*j - 16 for o. -5 Solve 0 = -2*m - 4*p - 6, -28 = -3*p - 25 for m. -5 Solve -5*y = 4*t - 9 + 4, -t - 2*y = 1 for t. 5 Solve 3*m - 8 = 5*w, -7*w = -3*m - 12*w + 28 for m. 6 Solve 5*q - 4*w + 10 = 7*q, 5*q = -3*w - 10 for q. -5 Solve 3*l + 2*w - 15 = -2*w, l - 5*w - 5 = 0 for l. 5 Solve 3*f + 21 = -3*i, 3*i = -2*i - 15 for f. -4 Solve -4*l + 1 = -4*b - 3, -4*l = -3*b - 7 for l. 4 Solve 0 = n - 13*v + 16*v + 3, -5*n = v + 15 for n. -3 Solve -28 = 4*l - n - n, -n = -4*l - 24 for l. -5 Solve p + 40*x - 45*x + 9 = 0, -2*p + 18 = 2*x for p. 6 Solve -4*g = q - 13 - 10, 2*g - 4 = 2*q for q. 3 Solve 29*n + 2*b + 10 = 31*n, -2*n - 3*b = 0 for n. 3 Solve -z + 26 = -5*r, r - 6*z = -2*z - 9 for r. -5 Solve 45*y - 42*y = 4*s - 5, -3*y + 20 = s for y. 5 Solve -3*k + 8 = -2*s - k, 4*k = 5*s + 21 for s. -5 Solve -2*f - 26 = 4*y, 0 = -9*y + 13*y + 20 for f. -3 Solve -1 = -5*d - 5*p + 9, 5*d + p + 10 = 0 for d. -3 Solve 0*h - 2*u + 8 = -h, 16 = -3*h + 4*u for h. 0 Solve 2*v - 6*r + 10*r = -12, -1 = v + r for v. 4 Solve -6 = 3*j, 3*t = t - j + 4 for t. 3 Solve 8*g - 4*u + 8 = 0, -2*g + 4*u + 12 = -4*g for g. -2 Solve -5*v + 3*b = -0*b + 6, 4*b + 24 = -4*v for v. -3 Solve -2*o = 2*v + 2*o + 14, 0 = 3*v + 2*o + 13 for v. -3 Solve -12 = -2*k + c, -4*k + 10 + 26 = -5*c for k. 4 Solve 5*a = 3*g, 411*g + 34 = 416*g + 3*a for g. 5 Solve q + 18 = 5*j, -4*q + q = -4*j + 10 for q. 2 Solve 12 = 4*k, 5*j - 4*k + 14 + 8 = 0 for j. -2 Solve 0 = 2*w - 2*t - 4, -8*t + 2 = 2*w - 11*t for w. 4 Solve 3*w - 5 = -4*p, -4*w - 6*p + 7 = -p for w. 3 Solve -5*u + 15 = 3*h, 4*u + 8*h - 12 = 13*h for u. 3 Solve 5*l = -4*x + 9, 2*x = 7*x - 5*l for x. 1 Solve 71*l - 66*l - 22 = 4*x, 4 = 5*l + 2*x for l. 2 Solve -25 = 4*w + 5*p, -1 = -81*p + 82*p for w. -5 Solve -4*f + 134*k = 138*k - 4, 3 = 3*f - k for f. 1 Solve -y = -3*m + 10, 2 = -y + 4 for m. 4 Solve 5 = -x + 4*t, 2*x - 2*t + 19 = 21 for x. 3 Solve -5*c - 4*d - 8 - 18 = 0, -2*c - 3*d - 16 = 0 for c. -2 Solve -2*p - 10 = -5*k + 5, 5*k = 3*p + 10 for k. 5 Solve -3*i - 5 + 2 = 5*v, -5*i - 5 = -4*v for v. 0 Solve -x + 3*w + 12 = 0, -2*x + w + 18 = 3*x for x. 3 Solve -2*v - 8 = -2*n, -5*v = -n - n + 14 for v. -2 Solve -2*q + 2*o - 10 = 4*o, 2*q - 2*o = 2 for q. -2 Solve 3*b - 21 = -3*r, 10 - 6 = b for r. 3 Solve 2*f = 3*r - 4*r - 3, 5*r + 5*f - 5 = 0 for r. 5 Solve -4*z = -5*o + 4 - 2, -4*o + 8 = 0 for z. 2 Solve -j - 5 = -4*r + 4, -3*r = 4*j - 21 for r. 3 Solve 0 = -4*r - 2*n + 12, -47*r + 48*r + n = 5 for r. 1 Solve 4*w + 6*g = 2*g - 20, 4*g = -12 for w. -2 Solve -j = -5*s + 15, 5*s - 9*s = 5*j - 41 for
{ "pile_set_name": "DM Mathematics" }
the prime factors of j. 2, 19 Let v(z) = -z**2 + 2*z. Let s be v(3). Let h(o) = o**3 + 3*o**2 + 1. Let w be h(s). Suppose -w = k - 3. What are the prime factors of k? 2 Let a(w) = -4*w - 21. Let d(q) be the third derivative of -q**4/12 - 5*q**3/3 + q**2. Let i(f) = -2*a(f) + 5*d(f). What are the prime factors of i(-10)? 2, 3 Let y(a) = -a + 6. Let j be y(6). Let r = -3 - j. Let n = r - -5. What are the prime factors of n? 2 Suppose -4*l + 5*p + 19 = 0, 0 = -5*l - 0*p + 3*p + 14. What are the prime factors of ((-1 + 25)/3)/l? 2 Let f = -1 - -2. Let i(m) = 44*m. Let h be i(f). Suppose 0*d - 46 = -3*v + 4*d, -d = -4*v + h. What are the prime factors of v? 2, 5 Let i = 8 + -3. Suppose 2*t + 4*b - 40 = 0, -2*t + 7*t + i*b = 120. What are the prime factors of t? 2, 7 Suppose 3 = -p + 7. Suppose -p*h - 3*t + 56 = 0, -5*t - 30 - 5 = -5*h. List the prime factors of h. 11 What are the prime factors of 2 - -46 - 0 - 2? 2, 23 Let g(z) = -4*z + 9. List the prime factors of g(-6). 3, 11 Suppose -3 = -2*f - 11, -r = -5*f - 22. Suppose 18 = -r*m + 5*m. List the prime factors of m. 2, 3 Suppose 0 = f + 4*f. What are the prime factors of (f - -2)/(-2)*-10? 2, 5 Suppose f + 2 = 2*f + 5*z, 0 = 5*f - 5*z - 160. What are the prime factors of f? 3 Suppose 0 = -y + 3*y - 4. Suppose -4*u - p + 111 = 40, -4*u = -y*p - 62. List the prime factors of u. 17 Let n(w) = w**3 - 4*w**2 + 2*w + 4. Let p be n(3). Let u = p - -5. Let l = 10 - u. List the prime factors of l. 2 Let h(d) = -5*d - 3*d**3 + 6 + 5*d**2 + d**3 + d**3. What are the prime factors of h(4)? 2 Let g(p) = -3*p**2 - 9 + 4*p - 3*p**2 + 1 + 7*p**2. What are the prime factors of g(-6)? 2 Suppose -x = -c + 3, c - 6 = -2*x - c. Let j(l) = l + 10. What are the prime factors of j(x)? 2, 5 Suppose l + l = 0. Suppose l*f = -3*f. List the prime factors of -4 + 6 - f/1. 2 Let s be (-38)/(-12) + (-2)/12. Let c(m) = 15 - 6 + s*m**3 - 4*m**3 + 11*m**2 - 10*m. What are the prime factors of c(10)? 3 Let b = -9 - -11. Suppose -2*u - 4 = 0, -b*g = -3*g - u + 1. What are the prime factors of g? 3 Suppose 0 = -5*j - 4*a + 685, -5*j - a + 202 = -498. List the prime factors of j. 3, 47 Let q be 5 + (2 - 0 - 3). Suppose h - 3*h = -2*x - 26, q*h + 3*x - 31 = 0. Suppose 0 = -4*v + 38 + h. List the prime factors of v. 2, 3 Let g be (59 - 4)*(-6)/15. List the prime factors of g/(-4) + 7/14. 2, 3 Let n(x) = -x**3 + 7*x**2 - 5*x + 4. Suppose -v - 4 = -2*c, c + 7 = 5*v - 9. What are the prime factors of n(v)? 2 Let w(k) = -k + 8. Let v be w(6). List the prime factors of (-5 + -5)/((-1)/v). 2, 5 List the prime factors of 2/7 - (-130)/35. 2 Suppose 2*q + 14 = i, 3*i = -0*i - 6. List the prime factors of (-8)/3*42/q. 2, 7 Suppose 3*a - 13 = -5*v, -4*a - v = 2*v - 21. Suppose k + 16 = a. Let y = 18 + k. List the prime factors of y. 2 Suppose 2*o - 6 = 4*o. Let t = o + 8. What are the prime factors of t? 5 Let w(u) = u. Let c = 3 + 0. Let b be w(c). Suppose -12 = -2*a - o, 5*a - 36 = 2*o - b*o. What are the prime factors of a? 2 Suppose y - 3*y = -370. Suppose -5*t + y = -4*s, -148 = -0*t - 4*t + 3*s. List the prime factors of t. 37 Let j(q) = -14*q + 12. Suppose -4*r + 21 - 5 = 0. Let k(n) = -5*n + 4. Let o(d) = r*j(d) - 11*k(d). List the prime factors of o(-12). 2 Let s be -2 + (1 - -2) + -27. Let l be 83/(-2) - (-5)/10. Let j = s - l. List the prime factors of j. 3, 5 Suppose -w + 1 = 2*b + 31, -2*w + 15 = -b. Let x = -11 - b. List the prime factors of x. 2 Let s = 91 - 78. What are the prime factors of s? 13 What are the prime factors of -3*(-2 - -4) - -405? 3, 7, 19 Let l(p) = -2*p - 3. Let s be l(-2). What are the prime factors of (-3)/3 - -13*s? 2, 3 Suppose -2*b - 2*b = -12. Let j(z) = z**3 - 2*z**2 - 3*z + 2. What are the prime factors of j(b)? 2 Let d = -11 + 20. What are the prime factors of d? 3 Let t be -42 + 1 - 2/(-2). List the prime factors of 27/4 - 10/t. 7 Let k = -36 + 63. Let n be 4/(-2*3/(-12)). Let r = k - n. What are the prime factors of r? 19 Suppose 675 = 2*a + 3*a. List the prime factors of a. 3, 5 Let z(a) = a**3 + 4*a**2 + 3. Suppose 12 = -4*o - 4. Let b be z(o). Suppose -2*y + y - 5*f + 14 = 0, y - b*f = -2. List the prime factors of y. 2 Let u be (4/8)/((-2)/(-12)). Suppose u*s + 2*j = 5*j + 75, j = -4*s + 85. List the prime factors of s. 2, 11 Let c(j) = 2*j**2 + 3*j - 3. List the prime factors of c(7). 2, 29 Let j(k) = 5*k**2 - 3*k - 1. What are the prime factors of j(3)? 5, 7 List the prime factors of 6/15 + (-18)/(-5) + 46. 2, 5 Let j(k) = -k**3 + k**2 - 2*k + 2. List the prime factors of j(0). 2 What are the prime factors of ((54/(-7))/((-3)/21))/2? 3 Let u(d) = -d**3 + 4*d**2 + 2*d - 2. Let l(n) = n**3 - 4*n + 3. Let r be l(2). What are the prime factors of u(r)? 13 Suppose -6 = -2*y + 12. Let o = y - 6. Suppose 2*w = 5*g + 17, -38 = -o*w + g - 6*g. List the prime factors of w. 11 Suppose t - 52 = -3*t. Let s = 26 - t. What are the prime factors of s? 13 Let i = 37 - -108. What are the prime factors of i? 5, 29 Suppose 4*l + 330 = 9*l. Let h be l/(-9) + 1/3. Let q = -4 - h. List the prime factors of q. 3 Let c(h) = 13*h - 51. What are the prime factors of c(6)? 3 Suppose 52 = 2*n - 62. What are the prime factors of n? 3, 19 Suppose -z + 25 = -57. List the prime factors of z. 2, 41 Let l(w) = 2*w + 9. What are the prime factors of l(5)? 19 Let x be (-10 - -4)*-1*3. Suppose -h + x = h. List the prime factors of h - (-2 + 4 + 0). 7 Let p be 2/11 - (-31)/11. What are the prime factors of (1 + p)/(2/3)? 2, 3 Let h be 2 + 9 + (-3 - -2). Suppose -g - 18 - h = 3*u, 3*u - g = -20. Let t = -3 - u. List the prime factors of t. 5 Let q be (-1)/(-1) - (10 + 3). Let f = q - -34. What are the prime factors of f? 2, 11 Let g = 11 - 8. Suppose -4*d - 11 = g*i, -3*d - d - 23 = -i. What are the prime factors of 10/i*(-6)/(-5)? 2 Let o = -61 - -118. List the prime factors of o. 3, 19 Suppose -w + 2*k + 0 + 28 = 0, 0 = -w - 3*k + 23. Suppose o + 9*i = 4*i + w, 0 = 4*i - 16. List the prime factors of (-2 + 0)/(o/(-48)). 2 Suppose 0 = 5*g - j - 100, 4*g + j - 81 = 2*j. List the prime factors of g. 19 Let u(k) = k**3 - 3*k**2 - 6*k + 3. Let t be u(4). What are the prime factors of t/15 + (-68)/(-6)? 11 Suppose 2*t - 20 = -i, 4*t + 2*i + 3*i = 52. Let n = t + -6. Suppose 0 = h - 3*k - 7, -5*h - k + 105 = -n*k. List the prime factors of h. 2, 11 Let f be 28/10 - (-1)/5. Suppose 7 = p - 4*k, -p + f*k = 2*k - 7. List the prime factors of p. 7 Let p(c) = 2*c - 10. Let t(f) = 2*f - 9. Let g(h) = -6*p(h) + 7*t(h). What are the prime factors of g(4)? 5 Let q(k) = k**3 - 5*k**2 - 4*k - 8. Let h(b) = 2*b - 18. Let z be h(12). List the prime factors of q(z). 2 Let q = 20 + -11. Suppose 0 = 2*i - 1 - q. What are the prime factors of i? 5 List the prime factors of 4 + -5 + 2 + 31. 2 Let a(u) = -u**2 + 6*u + 2. Suppose -x + 12 = x. Let y be a(x). What are the prime factors of 6 + (2 + y)/2? 2 List the prime factors of (-4)/(-6) + 7750/30. 7, 37 Let l be 5/3 + (-1)/(-3). Suppose -l*n - 3*n = -110. What are the prime factors of n? 2, 11 Let r(z) = -z**2 - 14*z + 14. List the prime factors of r(-11). 47 Suppose 5*u + 20 = 5. Let v = 5 - u. What are the prime factors of v? 2 Suppose 3*h = -4*x - 15, -3*x - 26 + 11 = 3*h. Suppose 78 - 6 = 3*f. Suppose x - f = -3*z. What are the prime factors of z? 2 Let g(k) = -k + 89. Let h be g(0). Let z = -40 + h. Let m = z + -33. List the prime factors of m. 2 Let i(f) = -35*f**3 - 3*f**2 - 2*f. Let j(v) = v**2 - 13*v + 11. Let g be j(12). List the prime factors of i(g). 2, 17 Suppose -14 = -q - 3*c + 4, 3*c - 78 = -5*q. Suppose 0 = -3*l + 48 - q. What are the prime factors of l? 11 Let u be 3*(3 + 1 + -3). Let b(y) = -y**3 + 5*y**2 - 4*y - 1. What are the prime factors of b(u)? 5 Let f(q) = -q**2 - 4*q + q**3 - 3*q + 4*q**2 + q**2 + 2. List the prime factors of f(-5). 2, 3 Let z(b) = b**3 - b**2 + 2*b - 2. Let w(d) = d + 2. Let p be w(0). Let y be z(p). Suppose y*s - s - 60 = 0. What are the prime factors of s? 2, 3 Let w(a) = -15*a - 10. Let s be w(-5). What are the prime factors of (-1 - 1)/((-10)/s)? 13 Suppose 4*t - 2 = 2*t. What are the prime factors of (3 - 2)/(t/3)? 3 Let s = -11 + 15. Suppose s*r = -0*r + 44. Suppose 13 + r = 3*c. List the prime factors of c. 2 Let g = -64 + 299. What are the prime
{ "pile_set_name": "DM Mathematics" }
2713? 3 What is the units digit of 15742816? 6 What is the millions digit of 1029081? 1 What is the thousands digit of 77808? 7 What is the units digit of 15807940? 0 What is the thousands digit of 2111702? 1 What is the hundred thousands digit of 11308454? 3 What is the tens digit of 1652108? 0 What is the tens digit of 499008? 0 What is the units digit of 238624? 4 What is the ten thousands digit of 2922970? 2 What is the units digit of 1496151? 1 What is the hundreds digit of 4601111? 1 What is the hundred thousands digit of 1226751? 2 What is the units digit of 535092? 2 What is the ten thousands digit of 381410? 8 What is the ten thousands digit of 541450? 4 What is the tens digit of 388366? 6 What is the thousands digit of 844075? 4 What is the ten millions digit of 11250479? 1 What is the tens digit of 428464? 6 What is the hundreds digit of 137655? 6 What is the hundreds digit of 9377122? 1 What is the millions digit of 5080760? 5 What is the tens digit of 31386653? 5 What is the millions digit of 27615459? 7 What is the thousands digit of 115805? 5 What is the units digit of 509331? 1 What is the millions digit of 7703405? 7 What is the ten thousands digit of 159730? 5 What is the units digit of 7176726? 6 What is the thousands digit of 9658701? 8 What is the ten thousands digit of 854552? 5 What is the hundreds digit of 3424377? 3 What is the ten millions digit of 28961713? 2 What is the tens digit of 1435067? 6 What is the tens digit of 15121540? 4 What is the tens digit of 763907? 0 What is the hundreds digit of 2788483? 4 What is the hundred thousands digit of 15373645? 3 What is the units digit of 8005141? 1 What is the hundreds digit of 15326587? 5 What is the units digit of 475071? 1 What is the hundred thousands digit of 9516922? 5 What is the tens digit of 121743? 4 What is the tens digit of 7832560? 6 What is the hundred thousands digit of 865246? 8 What is the thousands digit of 502033? 2 What is the hundred thousands digit of 1162823? 1 What is the tens digit of 225828? 2 What is the hundreds digit of 19858768? 7 What is the millions digit of 3193507? 3 What is the millions digit of 2322585? 2 What is the ten thousands digit of 2924339? 2 What is the hundred thousands digit of 696419? 6 What is the ten thousands digit of 16169943? 6 What is the tens digit of 112794? 9 What is the hundred thousands digit of 2580639? 5 What is the thousands digit of 2472529? 2 What is the thousands digit of 26706? 6 What is the hundred thousands digit of 28310616? 3 What is the tens digit of 110666? 6 What is the hundred thousands digit of 4009774? 0 What is the hundred thousands digit of 764617? 7 What is the ten thousands digit of 541807? 4 What is the tens digit of 1438211? 1 What is the hundreds digit of 1973275? 2 What is the hundred thousands digit of 21277701? 2 What is the tens digit of 22389887? 8 What is the hundreds digit of 94055? 0 What is the ten thousands digit of 8629992? 2 What is the thousands digit of 50435? 0 What is the thousands digit of 1275667? 5 What is the hundred thousands digit of 1856194? 8 What is the tens digit of 1346375? 7 What is the tens digit of 707411? 1 What is the tens digit of 266409? 0 What is the tens digit of 639815? 1 What is the hundred thousands digit of 12771267? 7 What is the ten thousands digit of 4048431? 4 What is the units digit of 40591? 1 What is the units digit of 2898158? 8 What is the hundred thousands digit of 608304? 6 What is the hundreds digit of 6902144? 1 What is the millions digit of 1145067? 1 What is the units digit of 705016? 6 What is the tens digit of 1184707? 0 What is the hundreds digit of 8055474? 4 What is the tens digit of 37849430? 3 What is the ten thousands digit of 224134? 2 What is the ten thousands digit of 955015? 5 What is the tens digit of 168264? 6 What is the tens digit of 505324? 2 What is the hundred thousands digit of 13953300? 9 What is the thousands digit of 3044738? 4 What is the tens digit of 730971? 7 What is the millions digit of 2819284? 2 What is the ten thousands digit of 5585492? 8 What is the hundred thousands digit of 10654156? 6 What is the hundred thousands digit of 157569? 1 What is the tens digit of 401800? 0 What is the hundred thousands digit of 175470? 1 What is the thousands digit of 11869? 1 What is the thousands digit of 426393? 6 What is the thousands digit of 18223125? 3 What is the hundred thousands digit of 1640399? 6 What is the hundred thousands digit of 13473902? 4 What is the ten thousands digit of 349409? 4 What is the tens digit of 3798437? 3 What is the thousands digit of 98929? 8 What is the hundred thousands digit of 353284? 3 What is the thousands digit of 5155527? 5 What is the tens digit of 165596? 9 What is the units digit of 31471? 1 What is the hundred thousands digit of 613124? 6 What is the units digit of 1157286? 6 What is the units digit of 158942? 2 What is the units digit of 628467? 7 What is the tens digit of 777292? 9 What is the millions digit of 25959645? 5 What is the hundreds digit of 839317? 3 What is the ten thousands digit of 308681? 0 What is the units digit of 5324033? 3 What is the tens digit of 1023247? 4 What is the thousands digit of 459346? 9 What is the hundred thousands digit of 151992? 1 What is the millions digit of 2166349? 2 What is the hundred thousands digit of 155043? 1 What is the units digit of 5703351? 1 What is the thousands digit of 4328? 4 What is the units digit of 38250? 0 What is the hundreds digit of 254648? 6 What is the thousands digit of 5595861? 5 What is the thousands digit of 841643? 1 What is the thousands digit of 435773? 5 What is the ten thousands digit of 52685? 5 What is the units digit of 315799? 9 What is the units digit of 250372? 2 What is the units digit of 1504632? 2 What is the tens digit of 15677? 7 What is the hundred thousands digit of 713156? 7 What is the thousands digit of 1534387? 4 What is the ten thousands digit of 245973? 4 What is the ten thousands digit of 12448? 1 What is the thousands digit of 7021617? 1 What is the ten thousands digit of 905763? 0 What is the ten thousands digit of 33061? 3 What is the hundreds digit of 250503? 5 What is the hundred thousands digit of 704029? 7 What is the thousands digit of 7141696? 1 What is the units digit of 2806325? 5 What is the hundred thousands digit of 7276312? 2 What is the units digit of 651276? 6 What is the tens digit of 1026956? 5 What is the units digit of 811270? 0 What is the millions digit of 1057964? 1 What is the millions digit of 3244639? 3 What is the hundreds digit of 26016138? 1 What is the ten thousands digit of 9063981? 6 What is the thousands digit of 11431311? 1 What is the ten thousands digit of 4248086? 4 What is the units digit of 100634? 4 What is the millions digit of 2078894? 2 What is the tens digit of 377771? 7 What is the thousands digit of 324557? 4 What is the millions digit of 3424076? 3 What is the ten thousands digit of 5949707? 4 What is the thousands digit of 90055? 0 What is the tens digit of 26892112? 1 What is the units digit of 32138930? 0 What is the hundred thousands digit of 17050595? 0 What is the units digit of 18277232? 2 What is the thousands digit of 12554614? 4 What is the thousands digit of 896784? 6 What is the ten thousands digit of 11483835? 8 What is the hundreds digit of 11067081? 0 What is the millions digit of 1961614? 1 What is the units digit of 55177? 7 What is the thousands digit of 62117? 2 What is the hundred thousands digit of 617016? 6 What is the hundred thousands digit of 201737? 2 What is the thousands digit of 522134? 2 What is the ten thousands digit of 2253467? 5 What is the hundreds digit of 17041560? 5 What is the millions digit of 5038263? 5 What is the hundred thousands digit of 120339? 1 What is the units digit of 901159? 9 What is the thousands digit of 104475? 4 What is the thousands digit of 1210343? 0 What is the hundreds digit of 15876656? 6 What is the ten thousands digit of 290917? 9 What is the tens digit of 15891056? 5 What is the thousands digit of 1989019? 9 What is the thousands digit of 95460? 5 What is the millions digit of 4870397? 4 What is the units digit of 1741917? 7 What is the hundreds digit of 10017
{ "pile_set_name": "DM Mathematics" }
rm of -46, -50, -50, -40, -14, 34? y**3 - 4*y**2 + y - 44 What is the c'th term of -17, -33, -51, -71, -93, -117, -143? -c**2 - 13*c - 3 What is the s'th term of -1, 37, 121, 275, 523, 889, 1397, 2071? 4*s**3 - s**2 + 13*s - 17 What is the w'th term of 23, 54, 85? 31*w - 8 What is the v'th term of 4555, 4550, 4535, 4504, 4451, 4370, 4255, 4100? -v**3 + v**2 - v + 4556 What is the n'th term of -224, -447, -660, -857, -1032, -1179, -1292? n**3 - n**2 - 227*n + 3 What is the a'th term of 351, 758, 1167, 1578? a**2 + 404*a - 54 What is the m'th term of -3002, -3012, -3036, -3080, -3150, -3252, -3392? -m**3 - m**2 - 3000 What is the h'th term of 102, 107, 116, 129, 146, 167? 2*h**2 - h + 101 What is the r'th term of 317, 320, 317, 302, 269? -r**3 + 3*r**2 + r + 314 What is the w'th term of -63, -51, -17, 51, 165, 337, 579, 903? 2*w**3 - w**2 + w - 65 What is the k'th term of -5, 5, 15, 25, 35? 10*k - 15 What is the c'th term of 181, 182, 183, 184, 185, 186? c + 180 What is the i'th term of -107, -214, -321, -428, -535? -107*i What is the f'th term of 27, 43, 51, 51, 43? -4*f**2 + 28*f + 3 What is the n'th term of 59, 121, 181, 239, 295? -n**2 + 65*n - 5 What is the w'th term of -620, -618, -616, -614, -612, -610? 2*w - 622 What is the k'th term of -91, -118, -145, -172? -27*k - 64 What is the c'th term of -7, -24, -43, -64, -87, -112, -139? -c**2 - 14*c + 8 What is the n'th term of -81, -88, -61, 6, 119, 284? n**3 + 11*n**2 - 47*n - 46 What is the s'th term of -212, -186, -160? 26*s - 238 What is the s'th term of -60, -22, 16? 38*s - 98 What is the x'th term of 398, 838, 1280, 1724, 2170? x**2 + 437*x - 40 What is the h'th term of 0, -61, -112, -147, -160, -145? h**3 - h**2 - 65*h + 65 What is the d'th term of 70, 157, 244? 87*d - 17 What is the f'th term of 2517, 2518, 2519? f + 2516 What is the x'th term of 55, 55, 53, 49, 43, 35? -x**2 + 3*x + 53 What is the i'th term of 48, 31, -4, -63, -152, -277, -444? -i**3 - 3*i**2 - i + 53 What is the r'th term of -48, -212, -482, -858, -1340, -1928, -2622? -53*r**2 - 5*r + 10 What is the t'th term of -1127, -1129, -1135, -1145, -1159, -1177? -2*t**2 + 4*t - 1129 What is the z'th term of -767, -763, -759? 4*z - 771 What is the t'th term of -2, -49, -122, -215, -322, -437, -554, -667? t**3 - 19*t**2 + 3*t + 13 What is the k'th term of -52, -123, -194? -71*k + 19 What is the y'th term of -17, -11, 9, 49, 115, 213, 349, 529? y**3 + y**2 - 4*y - 15 What is the x'th term of -63, -130, -197, -264? -67*x + 4 What is the l'th term of 607, 622, 653, 706, 787? l**3 + 2*l**2 + 2*l + 602 What is the t'th term of -44, -86, -140, -212, -308, -434, -596? -t**3 - 35*t - 8 What is the t'th term of 40, 76, 116, 160? 2*t**2 + 30*t + 8 What is the z'th term of 160, 226, 292, 358, 424? 66*z + 94 What is the t'th term of 488, 1946, 4376, 7778, 12152? 486*t**2 + 2 What is the z'th term of 28, 47, 68, 91, 116? z**2 + 16*z + 11 What is the z'th term of 10940, 10941, 10942? z + 10939 What is the h'th term of 55, 65, 77, 91, 107, 125? h**2 + 7*h + 47 What is the j'th term of -7, -4, -9, -28, -67, -132? -j**3 + 2*j**2 + 4*j - 12 What is the x'th term of -722, -1435, -2138, -2831, -3514, -4187, -4850? 5*x**2 - 728*x + 1 What is the o'th term of -443, -885, -1327, -1769? -442*o - 1 What is the d'th term of -55, -75, -97, -121, -147? -d**2 - 17*d - 37 What is the w'th term of 228, 223, 214, 201, 184? -2*w**2 + w + 229 What is the j'th term of 122, 114, 110, 116, 138, 182, 254, 360? j**3 - 4*j**2 - 3*j + 128 What is the o'th term of -25039, -25035, -25021, -24991, -24939, -24859, -24745, -24591? o**3 - o**2 - 25039 What is the a'th term of 34, 49, 68, 91? 2*a**2 + 9*a + 23 What is the t'th term of 9, 77, 199, 375, 605, 889? 27*t**2 - 13*t - 5 What is the k'th term of -733, -2930, -6593, -11722, -18317, -26378, -35905? -733*k**2 + 2*k - 2 What is the o'th term of -40, -49, -64, -85, -112, -145? -3*o**2 - 37 What is the f'th term of 33, 37, 41, 45? 4*f + 29 What is the o'th term of 44, 71, 106, 155, 224, 319? o**3 - 2*o**2 + 26*o + 19 What is the x'th term of -42, -47, -42, -21, 22, 93, 198, 343? x**3 - x**2 - 9*x - 33 What is the l'th term of 15, -36, -121, -240, -393, -580? -17*l**2 + 32 What is the f'th term of -356, -2887, -9752, -23117, -45148, -78011? -361*f**3 - f**2 - f + 7 What is the m'th term of -77, -287, -637, -1127, -1757, -2527? -70*m**2 - 7 What is the f'th term of -4726, -4727, -4728, -4729, -4730? -f - 4725 What is the z'th term of -185, -182, -169, -140, -89, -10, 103, 256? z**3 - z**2 - z - 184 What is the r'th term of -927, -898, -857, -810, -763, -722, -693, -682? -r**3 + 12*r**2 - 938 What is the u'th term of -12, -37, -72, -117, -172, -237? -5*u**2 - 10*u + 3 What is the f'th term of -2, 15, 40, 73, 114? 4*f**2 + 5*f - 11 What is the n'th term of -88, -86, -84, -82? 2*n - 90 What is the f'th term of 4, 8, 14, 22? f**2 + f + 2 What is the u'th term of -60, -119, -176, -231? u**2 - 62*u + 1 What is the j'th term of -4, -10, -40, -106, -220? -2*j**3 + 8*j - 10 What is the r'th term of 53, 44, 33, 20, 5? -r**2 - 6*r + 60 What is the n'th term of 359, 740, 1147, 1592, 2087, 2644, 3275? 2*n**3 + n**2 + 364*n - 8 What is the q'th term of -11, -30, -61, -110, -183, -286? -q**3 - 12*q + 2 What is the d'th term of -38, -49, -68, -95, -130, -173, -224? -4*d**2 + d - 35 What is the d'th term of -54, -205, -458, -813, -1270? -51*d**2 + 2*d - 5 What is the f'th term of 17439, 17435, 17429, 17421, 17411, 17399? -f**2 - f + 17441 What is the f'th term of -244, -248, -252, -256, -260? -4*f - 240 What is the l'th term of -167, -172, -183, -206, -247, -312, -407? -l**3 + 3*l**2 - 7*l - 162 What is the v'th term of -596, -594, -592? 2*v - 598 What is the a'th term of 4, -13, -54, -131, -256? -2*a**3 - 3*a + 9 What is the u'th term of -13, -28, -45, -70, -109, -168? -u**3 + 5*u**2 - 23*u + 6 What is the d'th term of 628, 627, 626, 625, 624? -d + 629 What is the u'th term of -7, -17, -31, -49? -2*u**2 - 4*u - 1 What is the q'th term of 78, 80, 84, 90, 98? q**2 - q + 78 What is the b'th term of 443, 455, 471, 491, 515, 543, 575? 2*b**2 + 6*b + 435 What is the i'th term of -12, -51, -116, -207, -324, -467, -636? -13*i**2 + 1 What is the v'th term of -1, 12, 27, 44? v**2 + 10*v - 12 What is the q'th term of -422, -423, -424, -425, -426, -427? -q - 421 What is the f'th term of 310, 619, 928, 1237? 309*f + 1 What is the a'th term of 430, 441, 452? 11*a + 419 What is the g'th term of -34, -16, 2, 20, 38? 18*g - 52 What is the o'th term of -56, -59, -62, -65? -3*o - 53 What is the v'th term of 0, 3, -6, -33, -84, -165, -282? -v**3 + 10*v - 9 What is the a'th term of -44, -57, -78, -107, -144, -189, -242? -4*a**2 - a - 39 What is the d'th term of -114, -318, -660, -1140? -69*d**2 + 3*d - 48 What is the j'th term of -8852, -8849, -8836, -8807, -8756, -8677, -8564, -8411? j**3 - j**2 - j - 8851 What is the p'th term of 57, 218, 485, 858, 1337? 53*p**2 + 2*p + 2 What is the z'th term of 8, 14, 18, 20, 20, 18, 14? -z**2 + 9*z What is the q'th term of -550, -2189, -4920, -8743, -13658, -19665? -546*q**2 - q - 3 What is the u'th term of -237, -232, -239, -264, -313, -392, -507? -u**3 + 12*u - 248 What is the t'th term of 7430, 14858, 22286? 7428*t + 2 What is the c'th term of -525, -1036, -1547? -511*c - 14 What is the f'th term of -4670, -4671, -4672, -4673, -4674, -4675? -f - 4669 What is the r'th term of -221, -224, -227, -230? -3*r - 218 What is the s'th term of -5176, -5174, -5172, -5170, -5168, -5166? 2*s - 5178 What is the c'th term of -1950, -1946, -1940, -1932, -1922, -1910, -1896? c**2 + c - 1952 What is the a'th term of 332, 664, 994, 1322, 1648, 1972? -a**2 + 335*a - 2 What is the x'th term of 0, -18, -52, -102, -168, -250, -348? -8*x**2 + 6*x + 2 What is the a'th term of 331, 361, 395, 433, 475? 2*a**2 + 24*a + 305 What is the l'th term of 32, 49, 78, 125, 196, 297, 434, 613? l**3 + 10*l + 21 What is the x'th term of 64, 257, 578, 1027, 1604, 2309, 3142? 64*x**2 + x - 1 What is the i'th term of 7158, 7159, 7160, 7161? i + 7157 What is the y'th term of 108, 252, 384, 498, 588, 648, 672, 654? -y**3 + 151*y - 42 What is the t'th term of -107, -117, -135, -161? -4*t**2 + 2*t - 105 What is the r'th term of 70, 274, 604, 1054, 1618, 2290,
{ "pile_set_name": "DM Mathematics" }
of l(8)? 4 What is the units digit of 58*(-6)/(-21)*1141? 8 Let j = 3103 - -2472. What is the hundreds digit of j? 5 What is the tens digit of ((-11293)/3)/(((-2)/(-4))/((-36)/24))? 9 What is the tens digit of 1959*-4*72/48*8/(-3)? 4 Suppose -4*a + 3*a - 3*z + 10921 = 0, -2*a + 21830 = 3*z. Suppose 11387 = 12*n - a. What is the tens digit of n? 5 Suppose 4*i + 4*a - 64684 = 0, -i = -5*a - 5709 - 10504. What is the ten thousands digit of i? 1 Let h(v) = -v**2 + 23*v. Let x be h(23). Let m be -3 + x + 2 + 1 + -76. Let p = 131 + m. What is the units digit of p? 5 Let g(z) = -z**3 - 3*z**2 - 3*z - 19. Let s be g(-4). Suppose -s*y + 2278 = -3824. What is the hundreds digit of y? 6 Let w = 5038 + 2368. What is the thousands digit of w? 7 Let y(q) = -q**3 - 6*q**2 - q + 10. Let a(k) = -k**2 - 15*k - 19. Let t be a(-14). Let b be y(t). Let u = 17 - b. What is the tens digit of u? 2 Let n(z) = -3*z**2 - 12*z + 6. Let f(k) = 2*k**2 + 12*k - 5. Let l(o) = 4*f(o) + 3*n(o). Let u be l(-11). What is the units digit of -5 + u/(-3) - -3? 3 Suppose -3*m + 69 = 627. Let d = m + 345. What is the hundreds digit of d? 1 Suppose 2*d + 12 = 6*d. Suppose 4*j - c = 13, d*c - 9 = -3*j + 4*c. Suppose -1316 = -j*t - 3*t. What is the hundreds digit of t? 1 Let t = 46 - 74. Let u = 32 + t. Suppose -5*b + 81 = u*h, 2 + 17 = b - 2*h. What is the units digit of b? 7 Suppose 3*i - 2*c - 1477 = -254, i + c = 416. Let p = 486 - i. What is the tens digit of p? 7 Let u(k) = 8*k**2 + 518*k + 64. What is the thousands digit of u(-84)? 3 Let m(d) = -813*d**2 - 21*d + 12. Let v(b) = -3 + 19*b**2 - 72*b**2 + 256*b**2 - 5*b + 10*b. Let r(u) = 2*m(u) + 9*v(u). What is the tens digit of r(1)? 0 Suppose 34548 = 13*p - 20546. What is the tens digit of p? 3 Let s be -4*(13/(-10) - (-8)/10). Suppose -c = s*d - 138, 32 = 5*c + 12. What is the tens digit of d? 6 Suppose 2*f - 4951 = -y, -y - 18*f + 4969 = -22*f. What is the thousands digit of y? 4 Let k be (-4)/2*(-201)/3. Suppose -2*b - 5*j + 45 = -33, -j = -3*b + k. What is the units digit of (6/12)/(2/b)? 1 Let u = 54801 - 37989. What is the hundreds digit of u? 8 Suppose -6*s = -12*s + 552. Let q be 43861/s - (-2)/8. Suppose 5*o = -3*a + 178 + 216, -4*a + 3*o + q = 0. What is the units digit of a? 3 Suppose -39 = -2*p - 29. Suppose 5*i - 2*q + 1685 = 5025, -i = p*q - 695. Suppose 3*o = -3*r + 501, r = -3*r - 2*o + i. What is the hundreds digit of r? 1 Let h(x) = x**2 - 3*x + 13. Let p be h(0). Let y(i) = -i + 17. Let g be y(p). What is the units digit of ((-140)/(-8)*3)/(3/g)? 0 Let p = 105 + -41. Let x = -62 + p. Suppose 4*v + 2*n = n + 475, -x*n - 10 = 0. What is the hundreds digit of v? 1 Let c be (0 - (0 + -3))/1. Let f be 4*(c - (0 - 1147/(-2))). What is the hundreds digit of f/(-28)*2/(0 + 1)? 1 Let m = 15 - 54. Let a = m + 57. Suppose 0 = -3*v + 120 + a. What is the tens digit of v? 4 Let d(v) = 5*v**2 - 11*v - 2318. What is the units digit of d(69)? 8 Let y(z) = -18*z**3 - z**2 - 16*z + 14. What is the thousands digit of y(-4)? 1 Let t be (-223 - 3)/(3*(-3)/(-63)). Let h = 2642 + t. What is the hundreds digit of h? 0 Let w(k) = 8*k + 306. Let n be w(-38). What is the tens digit of 401 + n + (-11 - -7)? 9 Suppose -188 = -4*o + 6*l - 4*l, 3*l = 4*o - 192. Suppose 0 = -o*d + 24*d + 16359. What is the units digit of d? 9 Let p be (-324)/(-8)*(-116)/6. Let g be (p - 0/(-4)) + -3. What is the tens digit of g/(-4)*10/15 - 3? 2 Let n(i) = -8*i + 7. Let s be n(2). What is the thousands digit of 1303 + (-72)/s + -1? 1 Let o(z) = -2*z**2 + 27*z - 90. Let q(m) = 3*m**2 - 28*m + 88. Let a(k) = 5*o(k) + 4*q(k). What is the units digit of a(12)? 6 Let t = 408 + -779. Let s = t + 644. What is the hundreds digit of s? 2 Let v(q) = q**2 - q + 11. Let g(w) = -2*w - 32. Let r be g(-14). Let a(y) = -y + 11. Let p(u) = r*a(u) + 3*v(u). What is the tens digit of p(5)? 6 Let j(y) = 5*y + 88. Let d be j(-17). Suppose -4*m = -2*u - 1292, -3*m + 969 = -d*u + u. What is the tens digit of m? 2 Suppose -3*r + 21087 = 5*v, 4*r - 70*v + 67*v = 28116. What is the tens digit of r? 2 Let i(o) = -11340*o - 4443. What is the tens digit of i(-3)? 7 Let g be 347/5 + 10/(-25) - -3. Suppose -2*w = -3*w - 3*h + 72, 5*h = w - g. Let r = w + 47. What is the tens digit of r? 1 Let d = 4454 - 2990. What is the tens digit of d? 6 Suppose -305*p + 1541609 + 957323 = -6464103. What is the units digit of p? 7 Let j be ((-748)/51 - -15) + (-1132)/(-6). Suppose 0 = 3*q + d + d - 397, -2*q + 4*d = -286. Let p = j - q. What is the tens digit of p? 5 Suppose 1 = k + 2, 22 = -2*a + 4*k. What is the units digit of (a - -2)/(1 + (-150)/145)? 9 Suppose 7*w = 12*w + 90. What is the units digit of 495/(-6)*24/w - -4? 4 Suppose -7*a = -2*a - 10, -3*s = 2*a - 10. Suppose -2024 - 610 = -4*t + s*d, -2*t + 5*d = -1313. What is the tens digit of t? 5 Suppose r = -4*t + 1437, 414*r + 3*t = 417*r - 4251. What is the tens digit of r? 2 Let i be ((90/15)/(-3))/(2/2243). Let r = 3461 + i. What is the hundreds digit of r? 2 Suppose -3*i + 15 + 1 = 2*a, 5*i - 3*a - 14 = 0. Suppose 0 = -4*l + 12, 6*k - i*l + 680 = 7*k. What is the tens digit of k? 6 Let k(i) = 131*i - 566. What is the ten thousands digit of k(100)? 1 Suppose -2*g + 15 = -2*l + l, -4*l = 4*g - 48. Suppose -4*z + g*z = 20. Suppose 144 = z*b - u, 2*b + 2*u - 47 = 25. What is the tens digit of b? 3 Let f(z) = -2*z - 51. Let w(v) = -3*v - 103. Let k(p) = 5*f(p) - 2*w(p). Let y be k(-12). What is the tens digit of y - -2 - (12 - 182)? 7 Suppose 0 = 241*n - 267*n + 143468. What is the thousands digit of n? 5 Suppose 2*p - 106 = -0*p. Let k(h) = -h**3 + h**2 + 10*h - 1. Let t be k(-2). Let b = t + p. What is the units digit of b? 4 Suppose 511004 - 132152 = 46*h - 170480. What is the hundreds digit of h? 9 Let d = 14398 - 8984. What is the thousands digit of d? 5 Let x = 220 + 2483. What is the units digit of x? 3 Let m = 71021 - 42207. What is the thousands digit of m? 8 Suppose 15154 = j + 4*h, -3*h + 37806 = -8*j + 159248. What is the units digit of j? 8 Suppose -236*s = -241*s + 6990. Suppose -5*c - 283 = 5*k - s, -2*c = -2*k - 438. What is the tens digit of c? 2 Let q = 8814 - -7373. What is the tens digit of q? 8 Let s(c) = -c**2 - 9*c - 18. Let p be s(-4). Suppose 35 + 10 = 5*g - 3*u, -3*g - 4*u - p = 0. Let h(r) = 11*r + 29. What is the units digit of h(g)? 5 Let f(q) = 2*q**2 - 11*q - 18. Let g be f(7). Suppose c + 325 = g*h - 498, -3*h - 4*c + 818 = 0. What is the units digit of h? 4 Let j be 4/(-6)*(9 - (-15816)/(-16)). Let y = 1418 - j. What is the tens digit of y? 6 Suppose 3*k - 768 = 4*g - 5148, -3*g - 5*k + 3285 = 0. What is the thousands digit of g? 1 Let u be 0/(-3) + (-21 - -3). Let g be (87/u - -4)/((-4)/24). Suppose 0 = c - 2*t + 6*t - 197, 4*c - g*t - 704 = 0. What is the tens digit of c? 8 Let i = -536 - -284. Let l = 317 + i. What is the units digit of l? 5 Let r(m) = 24*m**2 - 13*m - 399. What is the hundreds digit of r(21)? 9 Let y = 286 + -282. Suppose -5*b = -y*m - 1448, -4*b + m + 1159 = -2*m. What is the units digit of b? 2 What is the ten thousands digit of 3469284/338 + (-6)/39? 1 Let h(f) = f**3 + 4*f**2 + 6*f + 9. Let v be h(-6). Let n be (0 - v/(-2))*10/(-15). Suppose 38*q - n*q = 160. What is the units digit of q? 2 Let x(r) = -144*r**3 - 43*r**2 - 5*r - 111. What is the units digit of x(-8)? 5 Let a(q) = 2*q. Let b(h) = -78*h**2 - 7*h + 89. Let j(p) = 5*a(p) - b(p). What is the hundreds digit of j(4)? 2 Let b(f) = -f + 8. Let y be b(6). Suppose 4*d + d + 16 = y*v, 0 = -5*v + d + 17. Suppose 2*g + 508 = v*w - 180, -228 = -w + 2*g. What is the tens digit of w? 3 Let s(x) = 353*x + 1215. What is the hundreds digit of s(12)? 4 Let x(a) = -4*a - 32. Let o be x(-5). What is the hundreds digit of ((o/18)/1)/(1/(-588))? 3 Suppose 0 = 4*v - 7*v + 399. Suppose 0 = -6*h + 3*h - 117. Let g = h + v. What is the tens digit of g? 9 Let x(k) = -k**2 - 6*k - 1. Let f = -62 + 57. Let q be x(f). Suppose 0 = -2*g - 2, -q*g = -4*t - g + 459. What is the units digit of t? 4 Let f(o) = -3*o + 20. Let y be f(8). Let k be 1/(10/y) - (-14)/35. Suppose 1008 = -k*p + 4*p. What is the hundreds digit of p? 2 Suppose 0 = 18*d - d - 111656. What is the hundreds digit of d? 5 Let m = -738 - -1757. Let b = 1446 - m. What is the tens digit
{ "pile_set_name": "DM Mathematics" }
4*j = v for j. 3 Let z be ((-32)/56)/(2/(-7)). Suppose -14 = -2*v + 5*d, z*v - 14 = 5*d - 6*d. Suppose -v*g = -11*g + 8. Solve g*c = 3 + 3 for c. 3 Let r be (-1 - (-3)/5)*-5. Suppose -1 = r*j - 9. Solve 8 = j*y - 0 for y. 2 Let s = 1 + 1. Suppose -3*u + 6 = n - 2, s*u - 24 = -3*n. Solve -4*q + 0*q = n for q. -2 Suppose -175 = s - 4*m + 69, 5*m - 247 = s. Let h be (-2755)/s + (-2)/(-16). Solve 4*d - d = h for d. 4 Let a = -31 + 31. Suppose -17 = -5*s - 2. Let q = 5 + -3. Solve a = q*o + s + 1 for o. -2 Suppose 5 = 2*s + l + 30, -2*l - 8 = s. Let t = s + 26. Let v = 15 - t. Solve -v*d + d = 8 for d. -4 Suppose -3*x = -9 - 6. Let m(p) = 13 + 3 - p - 16 + 7. Let r be m(x). Solve r*i + 6 = -4 for i. -5 Suppose -19*i - 765 = -10*i. Let y = i - -87. Solve y*j = 6 + 2 for j. 4 Let v be (2 + (-6)/2)/(7/(-49)). Let c = -5 + v. Solve 3*j + c = 2*j for j. -2 Let a be ((-139)/417)/((-2)/(-2 + 158)). Solve 0 = -18*k - a*k + 38*k for k. 0 Let z(c) = c**2 + 8*c - 2. Let j be z(-10). Let a = 5 - j. Let t = a - -13. Solve t = w - 5*w - 16 for w. -4 Suppose -5*i + 4*k - 8 = 0, -k = 3*i - 0*i - 2. Suppose 3*o - j - 516 = -497, 3*o = -4*j - 16. Solve i = 2*r - 3*r - o for r. -4 Let j(s) = 28*s**2 - s - 1. Let v be j(-1). Let t be (v/(-8))/(-1) + (-1)/2. Solve -12 = -t*k - 0 for k. 4 Let n = 28 + -16. Suppose -3*w + 3*t = n, -6*w + 4*t - 16 = -8*w. Solve w = 2*d - 3 + 5 for d. -1 Let t(r) = r**3 + 13*r**2 + 18*r - 34. Let s be t(-11). Solve -s*d - 53 = -13 for d. -4 Let f(m) = m**2 - 8*m + 9. Let o be f(7). Suppose j = -o*r + 27, 0*j + 2*j + 1 = r. Solve 0 = 2*b + 1 - r for b. 5 Let z(g) = -3*g**3 - 6*g + 1. Let q be z(5). Let h = q + 180. Let b be 4/(-14) - h/98. Solve -2*y - 2 = b for y. -2 Let p(a) = -a**3 - 12*a**2 + 20*a + 91. Let b be p(-13). Solve -6*w + 18*w - 60 = b for w. 5 Suppose -5*s - 3 = -5*v + 4*v, 4*s = -4*v + 36. Let q be 4/(-10)*80/(-4). Solve v = -4*f - q for f. -4 Let j be 254/10 - 252/(-420). Solve 3*r - 14 = -j for r. -4 Let f = -24 - -29. Let i be 2/8*(-1 + f). Solve 5*q - i + 6 = 0 for q. -1 Let r(m) be the first derivative of -m**2/2 - 14*m + 39. Let j be r(-16). Solve j*f + 15 = 7*f for f. 3 Suppose 58*q - 1494 = 1406. Solve 2*p - 50 = -q for p. 0 Suppose 2*x - 4*x + 24 = -v, 38 = 4*x + 3*v. Let g(c) = -c + 14. Let q be g(x). Let s = -25 - -28. Solve 0 = -s*m + 3 + q for m. 2 Let h = 307 - 307. Solve -r + 3*r = h for r. 0 Let v = 2 + 10. Suppose -3*r - 5*w - v = -3, 0 = -r + 4*w + 14. Solve -r*j + 0 = -2 for j. 1 Suppose -i = -5*i + 56. Suppose 3*d - 21 = 3*o, -i*o + 13 = 2*d - 15*o. Solve 1 = -n + d for n. 5 Let b = 867 - 860. Solve b*y - 5 = 9 for y. 2 Let p be (-3)/5 + 18/30. Let f = 0 + p. Suppose -b - 3*b + 44 = f. Solve 4*a - 1 = b for a. 3 Let j(b) = b**3 + 6*b**2 + 8*b + 9. Let w be j(-6). Let f = -37 - w. Solve 4*t - 10 = -f for t. 2 Suppose -15*z + 16 = -11*z. Suppose -4*o + z + 32 = 0. Solve 3*c + 0 = -o for c. -3 Let h(k) = -4 - 4 + 4*k + 7. Let n be h(1). Solve -2*r - n*r - 25 = 0 for r. -5 Let b = -1 + -1. Let n be (3 + (b - 0))/1. Solve 0 = -4*p - n - 3 for p. -1 Let p(f) be the second derivative of f**3/6 + 13*f**2/2 - f. Let j be (-4 + (-9)/(-2))/((-2)/44). Let q be p(j). Solve -q*w - 2 = 4 for w. -3 Let k be 1/(141/(-69) + 2). Let x = 26 + k. Solve 0 = -0*r + x*r for r. 0 Let g = -5 + 9. Let k(o) = 2*o - 6. Let y be k(g). Suppose -s + 1 = -y*s - l, -4*s - 2*l = 0. Solve -2 = a - s for a. -1 Suppose -146*f + 133*f + 117 = 0. Solve -f = -2*t - 11 for t. -1 Let d(f) = f**2 + f - 1. Let x(p) be the first derivative of 2*p**3 + p**2 - 10*p - 1. Let k(c) = -5*d(c) + x(c). Let a be k(5). Solve -a = -5*v - 0*v for v. 1 Suppose -78*j = 39 - 897. Solve j*a = 12*a - 2 for a. 2 Suppose -8*k = -2*k - 36. Let d = k - 4. Solve d = -0*o - o for o. -2 Suppose -168 + 21 = 3*q. Let r = -36 - q. Solve -4*p + r + 3 = 0 for p. 4 Let w = -569 + 584. Solve -6*x + w = -x for x. 3 Let m = 12 + -2. Suppose -5*n - 4*a = -30, n = -2*a + 2 + m. Solve -n*i = 3*i for i. 0 Let k be (-6 + 6 - 1) + (-1 - -2). Suppose 0 = -z - k*z + 5. Solve 2*d - z = d for d. 5 Suppose -4*g = -0*g - 16. Suppose 3*v + g - 19 = 0. Let b be v/2 - 2/4. Solve -b*s = -3*s for s. 0 Let m = -1092 + 1103. Solve -m = 3*u - 20 for u. 3 Let f = -23 + 25. Let h be -4*1/(-2) - f. Solve h*i - 20 = 5*i for i. -4 Let u = -260 - -262. Solve -w + u = 4 for w. -2 Let o = -41 + 97. Let p = o + -56. Solve 0 = -p*t - 5*t - 10 for t. -2 Let c = 38 - 95. Let z = -54 - c. Solve i = 2*i + z for i. -3 Let f(m) = m**3 - 8*m**2 + 13*m - 68. Let i be f(8). Solve s + 8*s - i = 0 for s. 4 Let y(v) = v**2 - 4*v - 13. Suppose -4*h + 26 + 18 = 0. Let s be y(h). Suppose -3*d + 41 = -4*u, 5*d - s = d - 4*u. Solve 2*b + 3*b = d for b. 3 Suppose 17*u - 286 = 30*u. Let l(k) = -k + 26. Let z be l(0). Let w = z + u. Solve -w = -8*c + 4*c for c. 1 Suppose 4*y - 36 = -y + 4*g, -24 = -5*y + g. Suppose 4*u - 8 = y. Let z be (-1 - (-13)/7)/((-69)/(-322)). Solve -u*t = -z*t + 4 for t. 4 Let f be 12/(-9)*-3 + -2. Suppose 5*c - 30 = -f*t + 9, -5*t = c - 40. Suppose 3*j = -s + 7, -4*j - t = -3*s + j. Solve -4 - s = 4*v for v. -2 Suppose -39*f + 40*f + 32 = 0. Let u = 44 + f. Solve 2*z + z - u = 0 for z. 4 Let u(n) = 16*n + 34. Let p be u(-11). Let m = -138 - p. Solve l = m*l for l. 0 Let r = 45 + -30. Let x(m) = m**2 - 14*m - 15. Let w be x(r). Solve 7*o - 2*o - 10 = w for o. 2 Suppose -8*d + 209 = 11*d. Solve 0 = 10*x - d*x for x. 0 Suppose -4*h = 2*a + 490, -h + 369 = -4*h - a. Let f = 128 + h. Solve f = -2*r - 0 for r. -2 Let w(x) = x**2 - 21*x + 40. Let i be w(19). Solve 3*j = 2*j + i for j. 2 Suppose -u = -l - 3, -4*u + 30 = -u + 4*l. Solve -13*s = -11*s + u for s. -3 Let i(a) = a**2 - a. Let v be i(1). Suppose 0 = 4*h + l - 17, 5 = -3*l + 4*l. Suppose -h*p - 9 = -18. Solve v = -p*x - 2*x + 10 for x. 2 Suppose 0 = -107*q + 102*q + 120. Solve q = 10*y - 4*y for y. 4 Suppose z - 35 = 5*g, -4*g = 2*z - g - 57. Suppose -11*n + z = 4*n. Suppose 0 = 4*j + 5*k - 27, -j + 28 = 3*j + 4*k. Solve -n*f = 2*f + j for f. -2 Let f(s) = -6*s + 20. Let h be f(-7). Let i = h - 59. Solve -4*d - i = 9 for d. -3 Let c be (0 - -1) + 8 + -5. Let n = c - 4. Let w = 11 - 5. Solve -w*t + 2*t = n for t. 0 Let w(z) = -4*z**2 + 2*z**3 + 105*z - 102*z - z**3. Let a be w(3). Solve a = -4*j + j - 9 for j. -3 Suppose 3*t + 5*j = -25, -t + 2*j = -0*t - 10. Solve 5*w - 9*w + 12 = t for w. 3 Suppose 20*u = -11*u + 93. Solve 6*r + 45 = -u*r for r. -5 Let b(l) = -l. Let v be b(-4). Suppose 32 = v*d + 5*h, -3*d - h = -5*h + 7. Suppose 3*w = d*r - 12, 5*w + 8 = r - 12. Solve 3*q + 0*q + 6 = r for q. -2 Let o be 1 + (2 - 2 - 0). Let f(q) = 3*q + 1. Let g be f(o). Let k be 2*(45/6 + -3). Solve -k = g*i - i for i. -3 Let c(h) = h**3 - 53*h**2 + 103*h - 29. Let x be c(51). Solve x*v = 19*v + 6 for v. 2 Let z(t) = -t**3 + 35*t**2 - 2*t + 74. Let p be z(35). Solve 0*g + 12 = p*g for g. 3 Suppose 0 = z - 0*z - n - 2, -4*z = -2*n - 10. Solve z*g = 3 + 3 for g. 2 Let k be -2 + (0 + -3 - -9). Suppose -4*y + 4*a = k, -a = 2*y + 4*a - 19. Suppose 0 = y*f + f. Solve 2 = -f*s - s for s. -2 Let w = -638 - -644. Solve w*r = -4*r + 11*r for r. 0 Let t(u) = 34*u - 127. Let a be t(4). Solve -3*g = -0*g - a for g. 3 Let u = -319 - -325. Solve 9 - u = -3*k for k. -1 Suppose 0 = -2*s - k - 2, -3 = 3*s - k + 4*k. Let v(m) = -3*m**2 + m + 1. Let p be v(s). Let a be 7/(-21) - 19/p. Solve -2*i + 0*i - a = 0 for i. -3 Let t(d) = -6*d**3 - 3*d**2 - 2*d. Suppose 0 = 3*s + 5*g - 21, 6*s + 2*g - 12 = 3*s. Suppose 9*c - 11*c = s. Let q be t(c). Solve 0 = -h + q*h + 12 for h. -3 Suppose 3*w = 2*d - 10, -5*w + 2*d = 11 - 1. Suppose 2*z + 11 = -2*q + 125, -5*q = 2*z - 108. Let c = z - 57. Solve 4*s - 5*s + c = w for s. 2 Let u(s) = -s**2 + 2*s + 2. Let q = 54 - 54. Let p be u(q). Solve w - 4 = -p for w. 2 Let r = 12 + -7. Let t be 2/11 + 11 + 580/(-44). Let c be 81/15 + t/r. Solve -3*p + c = -1 for p. 2 Suppose -5*i + 40 = -i. Let c(q) = -q**3 + 26*q**2 + 82*q + 149. Let z be c(29). Solve -i = a + z*a for a. -2 Let p(t) = t + 5. Let h be p(-6). Let x be ((-3)/(-3))/(h/(-6)). Suppose 0 = -61*q + 73*q - 36. Solve q*r - r + x = 0 for r. -3 Let d be ((-48)/28)/(8/28). Let b be 4/24 + (-59)/d. Solve 8*l + b = 6*l for l. -5 Let z(m) = 5*m + 3. Let b(k) = -6*k - 3. Let s(y) = -4*b(y) - 5*z(y).
{ "pile_set_name": "DM Mathematics" }
Divide -570 by -2. 285 9 divided by -73 -9/73 1572 divided by -6 -262 Divide 3590 by 4. 1795/2 Calculate 490 divided by -1. -490 Divide 344 by 4. 86 72 divided by -36 -2 -922 divided by 5 -922/5 What is 624 divided by 6? 104 Divide 2 by -285. -2/285 Divide 274 by -137. -2 What is 4260 divided by -2130? -2 2400 divided by 300 8 Calculate 1 divided by -100. -1/100 Divide -82 by -7. 82/7 What is -1212 divided by 3? -404 Calculate -42 divided by -5. 42/5 Calculate 0 divided by 66. 0 What is 46656 divided by -3? -15552 -75 divided by 5 -15 Calculate 2 divided by -20. -1/10 What is -3926 divided by -1? 3926 Divide 90 by 30. 3 Divide 21 by -2. -21/2 What is 20 divided by -38? -10/19 What is -435 divided by 1? -435 Calculate -39 divided by 160. -39/160 What is -2052 divided by -6? 342 What is 40 divided by 36? 10/9 Calculate -1282 divided by -1. 1282 -3 divided by 53 -3/53 Divide 54065 by 3. 54065/3 What is -9 divided by 1578? -3/526 32 divided by 39 32/39 Calculate 0 divided by 533. 0 What is -53 divided by -53? 1 What is -6380 divided by -1595? 4 Calculate 313 divided by 313. 1 1190 divided by -17 -70 Divide -1054 by -31. 34 346 divided by -4 -173/2 Calculate 1473 divided by 3. 491 Divide 342 by 4. 171/2 What is 35 divided by 7? 5 -3 divided by 156 -1/52 Divide 294 by 6. 49 What is 576 divided by -16? -36 Divide 8 by -251. -8/251 Divide 1400 by 35. 40 Divide -1504 by 32. -47 Calculate 12828 divided by -3. -4276 Calculate 3656 divided by -1. -3656 -15900 divided by -5300 3 What is -1 divided by -189? 1/189 -731 divided by 2 -731/2 What is -14 divided by -1827? 2/261 Calculate -679 divided by 17. -679/17 -13859 divided by 1 -13859 Divide -42 by 6. -7 Divide 230 by 46. 5 Divide -508 by 2. -254 Calculate -2408 divided by 1. -2408 What is -124755 divided by 5? -24951 -5 divided by -4789 5/4789 Divide 38 by 19. 2 Calculate 2 divided by -58. -1/29 Divide 2 by -22. -1/11 What is -115 divided by -115? 1 Divide -71 by 8. -71/8 300 divided by -100 -3 What is -49 divided by 19? -49/19 Divide 121 by 11. 11 Divide -3 by 92. -3/92 What is 6 divided by -12? -1/2 676 divided by 2 338 Calculate 0 divided by 48. 0 Divide 7730 by 10. 773 -281 divided by -6 281/6 5 divided by 306 5/306 What is 529 divided by 4? 529/4 -534 divided by 1 -534 273 divided by 8 273/8 Divide -9810 by -10. 981 Divide 304 by -152. -2 What is 6 divided by 1485? 2/495 Calculate 236165 divided by 5. 47233 What is 49 divided by 12? 49/12 Calculate -408 divided by 136. -3 What is 68 divided by -34? -2 Calculate -974 divided by 2. -487 What is 4410 divided by -5? -882 -3 divided by 4 -3/4 What is -1 divided by 12? -1/12 Calculate 33 divided by -11. -3 Calculate 23 divided by 1. 23 Calculate 225 divided by -25. -9 Calculate -2814 divided by 3. -938 Calculate -396 divided by -2. 198 What is 6 divided by -74? -3/37 75 divided by 5 15 Calculate 116 divided by -58. -2 What is 61 divided by -22? -61/22 Calculate -16 divided by 5. -16/5 Calculate 0 divided by 30. 0 Calculate -573 divided by 1. -573 Calculate -276 divided by 3. -92 Calculate 2 divided by 22. 1/11 -5 divided by -4732 5/4732 Calculate 108 divided by -54. -2 Calculate -4144 divided by 4. -1036 681 divided by -227 -3 Calculate -1 divided by 5. -1/5 36 divided by -18 -2 Calculate -296 divided by 3. -296/3 What is 0 divided by 1925? 0 What is 2 divided by 416? 1/208 Divide 202 by 101. 2 Calculate 96 divided by 12. 8 What is -32 divided by -546? 16/273 What is 190 divided by 6? 95/3 Calculate -1601 divided by 2. -1601/2 What is -19 divided by 59? -19/59 Divide -5 by 406. -5/406 0 divided by -17 0 What is -17219 divided by 257? -67 74 divided by 2 37 Divide -137 by -17. 137/17 Divide 249 by 3. 83 Divide 227 by 9. 227/9 What is -12650 divided by 2530? -5 Divide 28 by -5. -28/5 What is -888 divided by 444? -2 Divide -1 by 5. -1/5 Calculate -5 divided by 31. -5/31 -6156 divided by -76 81 -56 divided by 1 -56 What is 4 divided by -61? -4/61 -18142 divided by -3 18142/3 Calculate -1746 divided by 9. -194 2 divided by 36 1/18 Divide -2709 by 903. -3 What is 23828 divided by 851? 28 What is 47 divided by -2? -47/2 Calculate -2 divided by -52. 1/26 Divide -25020 by -9. 2780 What is -4200 divided by -5? 840 -900 divided by -3 300 198 divided by -5 -198/5 Divide 2380 by -119. -20 Divide -5934 by 43. -138 What is 2 divided by -125? -2/125 135 divided by 3 45 What is 7644 divided by 3? 2548 Calculate -846 divided by -94. 9 Calculate -1439 divided by 5. -1439/5 What is 4555 divided by 1? 4555 What is 5152 divided by -46? -112 What is 0 divided by -197? 0 Calculate -1489 divided by -5. 1489/5 Calculate 335 divided by 67. 5 What is 292 divided by -73? -4 Divide -26 by -17. 26/17 What is -857 divided by 3? -857/3 Calculate -93 divided by 2. -93/2 Calculate -1383 divided by -3. 461 Divide 3732 by 4. 933 What is -62 divided by -24? 31/12 Divide -7884 by 876. -9 -5 divided by -136 5/136 What is 0 divided by -1511? 0 Calculate 5 divided by -6. -5/6 Calculate -20 divided by 3. -20/3 Divide -2 by -4. 1/2 85 divided by -5 -17 Divide -2051 by 2. -2051/2 Calculate 26 divided by 6. 13/3 -298 divided by -3 298/3 Divide -11 by -18. 11/18 1104 divided by -552 -2 Divide 1062 by 531. 2 Divide 878 by 439. 2 Calculate -17 divided by -67. 17/67 -8 divided by 2314 -4/1157 What is 17 divided by -242? -17/242 What is -36 divided by 1? -36 Divide -23860 by -4772. 5 What is 2 divided by 772? 1/386 Calculate 4 divided by -217. -4/217 What is 107 divided by -3? -107/3 36 divided by 5 36/5 Calculate -632 divided by -1. 632 What is -1 divided by 7? -1/7 3 divided by -28 -3/28 Divide -530 by -4. 265/2 Divide 63 by 2. 63/2 Divide 153 by -3. -51 What is 19805 divided by 5? 3961 Divide 284 by -142. -2 Divide -5452 by 58. -94 -42249 divided by -3 14083 Divide 594 by 11. 54 Divide -415 by 3. -415/3 Divide 0 by 19. 0 -2604 divided by -868 3 Divide -32 by 12. -8/3 Calculate 0 divided by -52. 0 Calculate 516 divided by -43. -12 4 divided by -679 -4/679 Divide -4285 by 4. -4285/4 Divide -41 by 4. -41/4 What is -2 divided by -3634? 1/1817 Divide 3 by -216. -1/72 Calculate 210 divided by -2. -105 Divide 53 by 16. 53/16 What is -1 divided by 60? -1/60 Divide -166 by 2. -83 What is -2 divided by 13? -2/13 710 divided by -10 -71 Calculate -956 divided by 4. -239 3 divided by -1 -3 What is -17 divided by -49? 17/49 352 divided by -88 -4 Divide 3 by 296. 3/296 What is -714 divided by 17? -42 What is 962 divided by 2? 481 Calculate 288 divided by 144. 2 Calculate 668 divided by 12. 167/3 Calculate -8 divided by -13. 8/13 What is -498 divided by 6? -83 Calculate 1525 divided by -61. -25 Divide -140 by -23. 140/23 What is -8 divided by -1529? 8/1529 What is 4704 divided by 3? 1568 What is -57 divided by -1? 57 What is -8 divided by -117? 8/117 54 divided by 2 27 Calculate 568 divided by 8. 71 What is 4 divided by -5408? -1/1352 14 divided by 21 2/3 Calculate 603 divided by -9. -67 What is -245 divided by -5? 49 Calculate 226 divided by -113. -2 14322 divided by 7 2046 Divide 564 by -3. -188 Divide 262 by -3. -262/3 Calculate 0 divided by -656. 0 Calculate 0 divided by 953. 0 Calculate -145 divided by 29. -5 Calculate 50 divided by -3. -50/3 Calculate 116238 divided by -6. -19373 Calculate -10626 divided by 3542. -3 What is -4 divided by -64? 1/16 Divide -84 by -21. 4 What is -280 divided by 14? -20 Calculate 0 divided by -354. 0 -1 divided by 62 -1/62 Calculate -126 divided by -42. 3 Divide 192 by -96. -2 198 divided by -2 -99 Divide 68 by -34. -2 Divide 473 by -3. -473/3 What is -2224 divided by 556? -4 252 divided by -63 -4 Calculate 1080 divided by 216. 5 Divide 1192 by -298. -4 Calculate -1772 divided by 10. -886/5 -2 divided by -67 2/67 Divide -2 by 188. -1/94 Divide 678 by 226. 3 -132 divided by 2 -66 104 divided by -52 -2 Calculate -416 divided by -104. 4 Calculate 19920 divided by 4980. 4 What is -3 divided by 110? -3/110 Calculate -1705 divided by 2. -1705/2 -26 divided by -2 13 288 divided by 6 48 Divide -13 by -54. 13/54 What is -17844 divided by -1? 17844 1730 divided by -346 -5 Divide 840 by 1. 840 Calculate -238 divided by 2. -119 Calculate -69 divided by 69. -1 3 divided by 22 3/22 Divide 17272 by -8. -2159 2709 divided by -4 -2709/4 Divide -193 by -36. 193/36 -304 divided by 6 -152/3 Calcu
{ "pile_set_name": "DM Mathematics" }
))/(-1*sqrt(10)*5)) + 1. -5*sqrt(5)/2 + 1 Simplify (4*(3 + (sqrt(432) - 1*sqrt(432) - sqrt(432)) + -5))**2 + (1*sqrt(375) - sqrt(15))/(4*sqrt(125)). 3841*sqrt(3)/5 + 6976 Simplify (sqrt(125) - (4 + sqrt(125) + -1) - sqrt(125) - sqrt(125))*1 + 4*(-3 + -3*sqrt(405) + sqrt(405) + sqrt(405) - sqrt(405))**2. 422*sqrt(5) + 6513 Simplify 4 + ((2*sqrt(52) + sqrt(52))*-2)/(sqrt(144)*1) + (3*sqrt(143)*-1)/((sqrt(88) + sqrt(88)*1)/sqrt(8)). -5*sqrt(13)/2 + 4 Simplify (2*(2*(sqrt(104) + 1*sqrt(104)) - (sqrt(104) - (sqrt(104) - sqrt(104)*-2*3 - sqrt(104)) - sqrt(104))))/((-6*(1*sqrt(648) - sqrt(648)) + sqrt(648))*5). 4*sqrt(13)/9 Simplify -1*(sqrt(48)*-3)/((sqrt(80)/sqrt(4))/sqrt(5))*-2. -12*sqrt(3) Simplify (3*-2*(2 + 0 + sqrt(704)*2 - (sqrt(110) - 5*((sqrt(110) - sqrt(110)*-2) + sqrt(110)))/(-1*sqrt(1440))))**2. 2076*sqrt(11) + 329795/4 Simplify -4*(1 + 3*sqrt(171) + ((sqrt(1900)*-3)**2 - sqrt(1900)) + -3)*-5. -20*sqrt(19) + 341960 Simplify 3*((sqrt(252) + sqrt(7) + -1 - (5 + sqrt(112)))**2 - ((sqrt(700) - (-2 + sqrt(700))) + 4 - sqrt(700))**2)*6. -11466 + 1512*sqrt(7) Simplify (-2*(5*(-2*sqrt(300))/sqrt(6) + 2 + sqrt(200) + -1 + -4 + 2 + sqrt(200) + 1))**2. 7200 Simplify (-4 + (sqrt(272) - 2*(2*sqrt(272) - sqrt(272))) + sqrt(272)*1 + -4 + sqrt(272) - 6*((sqrt(272) + 2 + sqrt(272))*6 + -5))**2. 28400*sqrt(17) + 1373652 Simplify ((sqrt(120)*-1*-2)/sqrt(8))/((sqrt(5) - (sqrt(5) + sqrt(5)*2))*1 - (sqrt(5) + sqrt(180)*-1)). 2*sqrt(3)/3 Simplify 4 + -3 + (2*(sqrt(192) + 2 - sqrt(192)) - ((sqrt(192) - (sqrt(192)*-2 + sqrt(192))) + sqrt(192))*4) + -2. -96*sqrt(3) + 3 Simplify 4 + 5*(-1 + sqrt(500) + -1 - sqrt(500)) - (-3 + (sqrt(500)*-1 - sqrt(500))**2 + 3)*4. -8006 Simplify ((1 + (sqrt(11) + sqrt(55)/sqrt(5))*4)*1 + 3 - (1 + (2 + sqrt(704))*-4*-1))**2. 240*sqrt(11) + 6361 Simplify 3 + ((4*sqrt(5103)*-2)**2 + 1 - (((sqrt(315) - sqrt(315)*3) + sqrt(315))/sqrt(9))/(sqrt(5) - sqrt(80)*-1)). sqrt(7)/5 + 326596 Simplify -3 + (0 + sqrt(11))**2*-1 + sqrt(176) + 4 - (((sqrt(77)*4)/sqrt(7))**2*3 + 5). -543 + 4*sqrt(11) Simplify -4 + -6*-1*((2*sqrt(396) + -5)*6 - ((sqrt(396) - (0 + 1 + sqrt(396))) + (-1*sqrt(396) + 4)**2)). -2650 + 720*sqrt(11) Simplify (sqrt(198)/sqrt(96) + sqrt(396)/(sqrt(12)*-1))/((sqrt(88) + sqrt(88)*-2 + sqrt(88))/sqrt(8) + (sqrt(11) - -1*sqrt(539))). -3*sqrt(3)/32 Simplify (3*-6*(sqrt(192) + 0 + -4))**2 - ((0 + sqrt(192))*3 + -4)**2*2. -20352*sqrt(3) + 63904 Simplify 4*(sqrt(891) + sqrt(891) + 0 + sqrt(891) + sqrt(891))**2*1 - (-3 + ((sqrt(11)*2*4)**2 - (2 + sqrt(11))*-1)). -sqrt(11) + 56321 Simplify (4*((-4 + (sqrt(153)/sqrt(9) - sqrt(17)) - (-4*sqrt(425) + sqrt(17))) + 0) + 1)**2. -2280*sqrt(17) + 98417 Simplify ((sqrt(60)/sqrt(3)*4 - 6*(sqrt(980) + sqrt(20)))/(((sqrt(168)*2)/sqrt(7))/(sqrt(42)/(sqrt(7) - (sqrt(63) - sqrt(7))))))**2 + -1. 2419 Simplify (2*-4*sqrt(252)*-4 + 3 + 1 + sqrt(252) + (sqrt(252)*-2 - sqrt(252)) + sqrt(252))**2. 1488*sqrt(7) + 242188 Simplify (-6*(sqrt(612) + 1 + sqrt(612)) + (sqrt(612) - -2*sqrt(612)*1) + sqrt(612) + 4 + (sqrt(136)/(sqrt(1152)*-1) - (1 + sqrt(170)/(sqrt(10)*1))))**2. 589*sqrt(17)/2 + 5898953/144 Simplify 5*(((-6*(sqrt(72) - (sqrt(72) + sqrt(72) + sqrt(72) + -1)) - (3 + sqrt(72)*-3)**2) + -4)*3 + 2). -9995 + 2700*sqrt(2) Simplify 2 + sqrt(180)/(sqrt(8)/sqrt(2)*-4) + 4 + 3 + 4. -3*sqrt(5)/4 + 13 Simplify (-4*sqrt(117)*3*-4)/(sqrt(9) + sqrt(36)*-2 + sqrt(900)) + 1. 1 + 48*sqrt(13)/7 Simplify 2 + 3 + 1 + sqrt(882) + ((sqrt(882) + -4*sqrt(882) + sqrt(882))*2 + sqrt(882))**2. 21*sqrt(2) + 7944 Simplify ((sqrt(84)*3 - sqrt(21))/((sqrt(42)*2)/sqrt(6)) - (sqrt(54)/(sqrt(3)*1))/((-2*sqrt(42))/sqrt(7)))**2. 27 Simplify (sqrt(96)/(sqrt(6) - sqrt(864)*1 - sqrt(6)))/(((sqrt(72)/sqrt(2))/sqrt(6))/sqrt(3)). -sqrt(2)/6 Simplify 2*((sqrt(2592) + -1 + 1)**2 + -1 + sqrt(2592) + -5)*-3. -15516 - 216*sqrt(2) Simplify (sqrt(2058) + sqrt(2058) + (sqrt(2058) - -1*sqrt(2058))*-2 + sqrt(2058))/(sqrt(24)*2 + (sqrt(6) - sqrt(60)/(sqrt(20)/sqrt(2)))) + 3. -7*sqrt(7)/4 + 3 Simplify -4*((sqrt(363) + -1)**2*2 + (sqrt(36)/sqrt(3) - sqrt(18)/(sqrt(12)/sqrt(2)))**2). -2924 + 176*sqrt(3) Simplify -2*(1*(5 + -1*sqrt(2448) + (-3*(sqrt(2448) + 0) + sqrt(2448) - sqrt(2448)) + -1*2*(0 + sqrt(2448))))**2*-1. -1440*sqrt(17) + 176306 Simplify (2*(sqrt(9) + (sqrt(9) - 2*sqrt(576))))/((4*sqrt(363) + sqrt(363) + sqrt(363) + sqrt(363) - sqrt(363))*-4). 7*sqrt(3)/66 Simplify (1*2*sqrt(825)*-1)/((sqrt(189)*6)/(-1*sqrt(7)*-2)). -10*sqrt(11)/9 Simplify (4 + -2*sqrt(17) - (sqrt(17) - ((sqrt(17) - (-1 + sqrt(17) - sqrt(17))*4) + sqrt(17))) - ((sqrt(153) + 0 + sqrt(153) - sqrt(85)/(sqrt(5)*2)) + 5))**2. -39*sqrt(17) + 2909/4 Simplify (-2*(3*(sqrt(605) - (-5 + sqrt(605) + 0) - (-1 + -3*sqrt(605))) + -3))**2. 11880*sqrt(5) + 196920 Simplify -5*(-2*sqrt(110)*6 + (sqrt(110) - 4*sqrt(110)*-1))/((sqrt(10) + 5*sqrt(40)/sqrt(4))*-3). -35*sqrt(11)/18 Simplify (1 + (-4*(0 + (sqrt(125) - (-3 + (sqrt(125) - (sqrt(125) - (sqrt(125)*2 + sqrt(125))))))*-1))**2)*2. -1920*sqrt(5) + 16290 Simplify (sqrt(91) + -1*(sqrt(91) + -3*sqrt(91)))/(sqrt(567) + -3*sqrt(567)) + -1 + -6*-1*sqrt(208)*-6. -865*sqrt(13)/6 - 1 Simplify ((4*sqrt(572)/(sqrt(275)*-1 + sqrt(11)) - (5 + sqrt(5200)*1 + 2))*4)**2. 4928*sqrt(13) + 101456 Simplify ((-3*6*3*sqrt(170)*-2)/((-2*sqrt(10)*1 + sqrt(10) + (sqrt(100)*-2)/sqrt(10))*3))**2. 2448 Simplify (((5*-3*sqrt(117) - sqrt(117))*4*-3)/(1*(sqrt(225)*-3 + sqrt(900)*2)))**2. 479232/25 Simplify (sqrt(209)*-2*-3 - -6*((sqrt(209) - -1*sqrt(209)) + sqrt(209)))/(sqrt(704) - -3*(sqrt(704)*-3 - sqrt(704))). -3*sqrt(19)/11 Simplify 5*(-2*(-3 + sqrt(36)/sqrt(3)) - ((sqrt(144)*2)/sqrt(12) + (sqrt(432) + -1 - sqrt(432)))) + 5. -40*sqrt(3) + 40 Simplify -1*(-3 + -4*(-4 + sqrt(1573) + -1 - sqrt(1573)) + 3 + 2*(-1 + sqrt(1573)))**2. -6616 - 792*sqrt(13) Simplify 4 + (((sqrt(77) - (sqrt(77)*2 + sqrt(77)))*-5)/(sqrt(539)*1) - (1 + -2 + sqrt(784)/sqrt(7)))**2. -36*sqrt(7)/7 + 359/7 Simplify (sqrt(51)/((sqrt(3) + sqrt(108) + sqrt(3))*-6) - sqrt(51)/(sqrt(192)*-3)) + 4 + 3. sqrt(17)/48 + 7 Simplify ((sqrt(27) - (1*sqrt(216) - sqrt(216))/sqrt(8) - sqrt(432)*-6)*1)/(-5*sqrt(18)/(sqrt(242)*-1)). 55*sqrt(3) Simplify (5*(((sqrt(80) - -3*sqrt(80))*4 - sqrt(80)) + -1 + sqrt(80)*3 + sqrt(80) - -4*(5*(0 + sqrt(80)) - (-4 + 2*sqrt(80)))))**2. 93000*sqrt(5) + 1927625 Simplify (sqrt(648)*-1*-2 + sqrt(648) + 0 + sqrt(648) + 4 - -1*(0 + sqrt(288) + 2))**2. 1008*sqrt(2) + 14148 Simplify (-6*(-6*(-5 + sqrt(363)*-2 + 2)*-5 + -4)*4)**2. 71470080*sqrt(3) + 757806336 Simplify -2*(-3 + 2 + ((sqrt(425) + sqrt(425) + (sqrt(425) + -1)**2 - sqrt(425)) + -1 - (sqrt(425) + (sqrt(425) + 1)*5)) + 4). -846 + 70*sqrt(17) Simplify (2*(sqrt(448) - ((-1*sqrt(448)*2 - sqrt(448) - sqrt(448)) + sqrt(448))))/(-6*sqrt(64)*2 - sqrt(64)*-2*-6). -sqrt(7)/3 Simplify 2 + (sqrt(500)*1*1)**2 - (sqrt(50) + (sqrt(50) + sqrt(50) + -2*sqrt(50))*5)/(sqrt(40)*-2 - sqrt(10)). sqrt(5)/5 + 502 Simplify ((sqrt(1980) - sqrt(1980)*-2) + sqrt(1980))/(sqrt(55)/(sqrt(5)*-2)) + 5*sqrt(320)*-1*5. -248*sqrt(5) Simplify ((6*(sqrt(600)*-2 - sqrt(72)/sqrt(3)*5))/(-1*(sqrt(72) - 2*sqrt(72))*-3))**2. 300 Simplify -3*((sqrt(168)/sqrt(7))/sqrt(8))**2 + (sqrt(192) + -4*(0 + sqrt(192)) + sqrt(192))**2 + -3. 756 Simplify (1*(sqrt(2880) + 5*(sqrt(2880)*-1 - sqrt(2880))))/((sqrt(324) - 1*sqrt(324)*1) + ((sqrt(324) - sqrt(324)*-2 - sqrt(324)) + sqrt(324))*6). -2*sqrt(5)/3 Simplify ((sqrt(144) - (sqrt(144) + 1*sqrt(144) + sqrt(144) + sqrt(144))*6)/(-2*sqrt(36) - sqrt(4)))/(sqrt(108)/(-5*sqrt(144) + sqrt(9))*5). -437*sqrt(3)/35 Simplify (-3*(1 + sqrt(242) + -4 + 2)**2 - (-3 + 3 + (sqrt(242) + (sqrt(242) - (sqrt(242) + 1)*-2) - sqrt(242)))**2) + 2. -2909 - 66*sqrt(2) Simplify (-1 + (sqrt(495)/(sqrt(1089) - (1*sqrt(1089) + sqrt(1089))))/(sqrt(5) + sqrt(60)/sqrt(108) + (2*sqrt(720) - sqrt(720))) + 2)**2. -3*sqrt(11)/220 + 17609/17600 Simplify 4*((-1*(sqrt(243) + 1*sqrt(243) - sqrt(243)) - (1*sqrt(243) + 4)) + -4 - -6*(sqrt(243) + (-2 + 1 + sqrt(243) - sqrt(243)) + 3 + sqrt(243) + -1))**2. -1440*sqrt(3) + 97216 Simplify 1*(4*-4*(2*(sqrt(300)*-5 - sqrt(300)) - (sqrt(300) + (sqrt(300) - (sqrt(300)*3 + sqrt(300))) + -3)))**2. -153600*sqrt(3) + 7682304 Simplify (((sqrt(90) - (-2*sqrt(90) - sqrt(90)))*-3)/(sqrt(500) - sqrt(500)*2 - sqrt(500) - sqrt(500)))/(-3*
{ "pile_set_name": "DM Mathematics" }
s the lowest common multiple of 440975 and 1395? 3968775 What is the smallest common multiple of 25 and 10452700? 10452700 Calculate the common denominator of -125/5936004 and -22/2139. 136528092 Calculate the common denominator of -47/66356102 and 64/965. 331780510 What is the lowest common multiple of 40 and 136744? 683720 Calculate the common denominator of 139/1890 and 109/463092. 20839140 Find the common denominator of -7/16946 and -5/38014. 1406518 Calculate the common denominator of 35/10307 and -89/3007770. 33085470 What is the smallest common multiple of 6666621 and 19552? 213331872 Calculate the common denominator of 29/24850917 and -71/8283639. 24850917 Find the common denominator of -19/584 and -52/395. 230680 Calculate the common denominator of -29/2317095 and 37/46810. 4634190 What is the least common multiple of 11712473 and 187? 128837203 Calculate the common denominator of 21/2255 and 73/92037. 18867585 Calculate the common denominator of -43/372438 and -115/529254. 10055826 What is the common denominator of -65/240814 and 11/58? 6983606 Find the common denominator of 101/114 and 127/312822. 5943618 What is the lowest common multiple of 13260 and 9992940? 129908220 What is the common denominator of 28/29205 and 79/2565? 1664685 Calculate the lowest common multiple of 626549 and 2058661. 14410627 Calculate the common denominator of 17/410 and 17/49700. 2037700 What is the smallest common multiple of 100 and 59015868? 1475396700 Find the common denominator of 89/12606412 and 61/10805496. 75638472 Calculate the lowest common multiple of 272632 and 6360. 4089480 Calculate the lowest common multiple of 35749 and 980. 5004860 Find the common denominator of 75/9752 and 29/1901640. 1901640 What is the least common multiple of 248 and 3130101? 25040808 What is the least common multiple of 658 and 145042? 1015294 What is the lowest common multiple of 78535 and 7775? 122121925 Calculate the lowest common multiple of 44 and 8654900. 95203900 Find the common denominator of 83/3740 and 151/143170566. 1431705660 Calculate the smallest common multiple of 336743 and 25047. 3030687 What is the common denominator of 11/4512 and 11/12050? 27184800 Calculate the common denominator of -35/4 and -149/22561164. 22561164 Calculate the common denominator of -31/1680 and -131/151215960. 302431920 Find the common denominator of 55/189327 and -58/313761. 88794363 Calculate the common denominator of 39/80194408 and 75/1316. 80194408 Calculate the smallest common multiple of 659850 and 3876. 426263100 Calculate the smallest common multiple of 71572 and 9802. 12095668 What is the smallest common multiple of 56760 and 1847280? 20320080 What is the lowest common multiple of 7742 and 260463? 3646482 Calculate the smallest common multiple of 371517 and 303. 37523217 What is the common denominator of 93/59126 and -47/5254? 4197946 What is the lowest common multiple of 120 and 4609778? 276586680 What is the least common multiple of 23072680 and 12135? 69218040 What is the lowest common multiple of 11237182 and 4086248? 44948728 What is the smallest common multiple of 652650 and 28? 9137100 What is the common denominator of -62/95249 and 27/25085123? 275936353 Find the common denominator of -58/28251 and 3/128699. 1158291 What is the lowest common multiple of 141296435 and 17633? 1554260785 What is the least common multiple of 87397 and 32595? 53749155 Calculate the lowest common multiple of 3532870 and 198. 31795830 What is the common denominator of -61/452096 and 113/2463570? 630673920 What is the smallest common multiple of 123032 and 2429882? 9719528 What is the smallest common multiple of 13716 and 2910078? 17460468 Calculate the common denominator of -17/650376 and -137/642. 69590232 Calculate the common denominator of 34/4011663 and 61/1214. 8023326 What is the least common multiple of 846292 and 423146? 846292 Find the common denominator of 53/24 and -7/2593509. 20748072 What is the smallest common multiple of 40 and 6806964? 68069640 Calculate the least common multiple of 601384 and 78344. 841336216 What is the common denominator of 111/9350 and 53/175525? 3861550 Find the common denominator of 27/11305 and -103/239020. 1673140 What is the smallest common multiple of 3294 and 462807? 925614 Find the common denominator of -145/167022 and -28/216042957. 432085914 Calculate the common denominator of 4/60135 and -65/95114. 301035810 Calculate the common denominator of 53/3802560 and -145/12582. 34223040 What is the common denominator of -19/73575 and 95/4202? 309162150 What is the lowest common multiple of 11 and 45596573? 45596573 What is the common denominator of 18/518609 and -45/151? 78309959 Calculate the smallest common multiple of 15903210 and 21204280. 63612840 Calculate the lowest common multiple of 13809820 and 10. 13809820 What is the smallest common multiple of 791427 and 183306? 216850998 What is the smallest common multiple of 40784 and 89133432? 178266864 What is the common denominator of 3/50 and -179/2289450? 2289450 What is the smallest common multiple of 1376 and 4208? 361888 What is the lowest common multiple of 1172964 and 2345928? 2345928 Calculate the least common multiple of 404358 and 3116. 33157356 Calculate the common denominator of -93/3662648 and -19/11903606. 47614424 Calculate the least common multiple of 30 and 23310672. 116553360 Calculate the common denominator of -30/306301 and 53/201. 61566501 Calculate the common denominator of -1/14414624 and -55/112. 14414624 What is the common denominator of 11/104800 and -7/160200? 83944800 What is the lowest common multiple of 1159655 and 2380? 4638620 What is the least common multiple of 16 and 78100252? 312401008 What is the least common multiple of 12 and 6531183? 26124732 What is the lowest common multiple of 12976202 and 530? 64881010 What is the smallest common multiple of 14437266 and 83152? 115498128 What is the lowest common multiple of 755952 and 4504214? 108101136 What is the least common multiple of 21732750 and 4179375? 108663750 Calculate the common denominator of 83/212280 and 167/10860. 38422680 Calculate the lowest common multiple of 148302 and 41160546. 452766006 Calculate the common denominator of 35/848 and 81/122224. 6477872 Calculate the smallest common multiple of 2119098 and 683580. 21190980 Calculate the lowest common multiple of 6328206 and 42282. 18984618 Calculate the smallest common multiple of 637512 and 9507. 2020275528 What is the least common multiple of 775 and 7375365? 36876825 What is the lowest common multiple of 1158132 and 10? 5790660 Find the common denominator of -41/21000 and 73/37400. 3927000 Calculate the lowest common multiple of 45252 and 29894812. 807159924 Calculate the smallest common multiple of 676 and 34772. 5876468 What is the smallest common multiple of 64732118 and 1420454? 453124826 Find the common denominator of 64/156558695 and -117/40. 1252469560 What is the smallest common multiple of 94 and 61483278? 2889714066 Calculate the common denominator of 37/18797980 and 103/711180. 1522636380 What is the least common multiple of 3384479 and 2888844? 690433716 Find the common denominator of 76/3915 and -94/22185. 66555 What is the lowest common multiple of 28512 and 21341232? 42682464 Calculate the common denominator of -23/6516650 and 79/436450. 188982850 What is the smallest common multiple of 736 and 19496? 1793632 Calculate the least common multiple of 106 and 639362. 33886186 Calculate the common denominator of 79/35702466 and 12/5950411. 35702466 Calculate the lowest common multiple of 18468 and 18506. 8993916 Calculate the smallest common multiple of 40957800 and 2832. 81915600 Find the common denominator of 85/8614 and 5/3892. 16762844 What is the smallest common multiple of 9200464 and 6319? 9200464 Calculate the common denominator of -17/2272320 and 23/42080. 2272320 What is the smallest common multiple of 991001 and 54838? 13874014 What is the common denominator of 41/29304 and 131/2402928? 2402928 What is the common denominator of 17/686161 and -67/58323685? 58323685 What is the smallest common multiple of 126132419 and 1029? 378397257 Calculate the smallest common multiple of 5091 and 20727158. 62181474 What is the l
{ "pile_set_name": "DM Mathematics" }
**3 - 4*v**3 - 2*v**3 + (-6*v**2 + 8*v**2 + 7*v**2)*(-2 + 2*v + 2)) as g*v + y*v**2 + t*v**4 + i*v**3 + u and give t. 364 Rearrange -908*o**2 + 3*o + 13*o - 16*o - 1701*o**2 to n*o + l*o**2 + w and give l. -2609 Rearrange -2*b**3 - b**3 + 2*b**3 + (440*b**2 + 1 - 7*b + 150*b**2 - 114*b**2)*(-b - 2*b + 5*b) to the form d + t*b + o*b**2 + j*b**3 and give t. 2 Express -2030 - 739 + 13*s - 4*s - 5*s - 3*s in the form d*s + y and give y. -2769 Rearrange (q**2 + q**2 - q**2)*(-199 + 604 - 46 + 702 + 73) to u*q**2 + m*q + i and give u. 1134 Rearrange -10*b + 4*b - 15*b + (2 - 2 - b)*(12 - 2 + 1) - 5*b + b + 3*b to the form m*b + x and give m. -33 Express 0*i**2 + i**2 - 26*i**2 + (8 + 11 - 20*i - 21)*(21 - 5*i - 21) + i**2 - 2*i**2 - i**2 as l*i + f + s*i**2 and give s. 73 Rearrange (3 - 1 + 0)*(122*w**2 - 83*w**2 + 254*w**2) to g*w + y + t*w**2 and give t. 586 Rearrange f - 3*f + 0*f + (1375 + 4695 + 5907)*(-3*f - 4 + 6 - 3) to m*f + k and give m. -35933 Rearrange -6*u**2 - u**3 + 30302 - 30303 - 15*u**3 to g*u + k + y*u**2 + q*u**3 and give k. -1 Rearrange 0*c**2 - 2*c**3 + 2 + 27182*c - 27165*c + c**2 + 0 + 6*c**3 to j*c**2 + n + q*c**3 + p*c and give p. 17 Express (-2*u**3 + 9*u**3 + 3*u**3)*(-1235 + 1953 - 1099) + 2*u**3 + 3*u**3 - 3*u**3 as i + g*u**3 + m*u + q*u**2 and give g. -3808 Express -8*y - 281*y**2 - 105 - 251*y**2 - 255*y**2 + 786*y**2 as g*y**2 + q + t*y and give g. -1 Rearrange 506 + y**2 + y**2 + 28 - 2*y**3 - 4*y**2 - 1306 + 6*y to l*y**2 + u*y + i + j*y**3 and give u. 6 Express -136 + 129 - 198*c**2 - 44*c - 41*c + 85*c in the form x*c + v + o*c**2 and give v. -7 Rearrange 40*j - 15*j**2 - 63*j + 26*j + 3 + 3*j**2 to the form z*j**2 + k + n*j and give z. -12 Express -21*t + 185*t - 40*t - 9*t**3 as j*t**2 + f + z*t + y*t**3 and give y. -9 Express -1045 - 185*w**4 + 1045 + (7*w + 7*w**2 - 4*w + 0*w)*(0 + 7 - 2)*(0*w**2 - 4*w**2 + 2*w**2) as x*w**4 + d*w**2 + g + u*w + f*w**3 and give x. -255 Express -13991 - 778*l**2 + 13991 + l in the form x + w*l**2 + r*l and give r. 1 Express (-3 - 2 + 4)*(-2*v**3 + 0 + 0) + (13 - 6 + 13)*(5 + 1 - 1)*(v**3 + v**3 - 3*v**3) as y*v + c + r*v**2 + g*v**3 and give r. 0 Rearrange 7*u - 4*u + 7520*u**2 - 118699 + 118699 to d*u + v*u**2 + f and give d. 3 Rearrange 95589*u - u**4 - 95579*u + u**3 + 0*u**3 + 187*u**2 to n*u**3 + a*u**4 + r*u**2 + i*u + c and give r. 187 Express 387 - z - z**4 + 438 - 170 + 2*z**2 - 2*z**2 in the form w*z + o*z**4 + r*z**2 + a + d*z**3 and give o. -1 Express 37*v**4 - v**3 - 62*v**4 + 24*v**4 - 83*v**2 + 80*v**2 as h*v**3 + b*v**2 + n*v + t*v**4 + p and give h. -1 Rearrange 0*l**2 - l**2 - 86*l + 9679 - 9682 + 0*l**2 - 38*l + 3*l**3 to q*l**2 + g + t*l**3 + p*l and give g. -3 Rearrange (-31*x + 12 + 860*x - 8 - 10)*(0*x - x - 3*x) to the form b*x + c*x**2 + m and give b. 24 Express 35*f + 65 - 33*f + 4286*f**2 - 4288*f**2 - 13*f**3 as q*f + x + k*f**2 + v*f**3 and give q. 2 Express 11 - 384*h**2 + 9 - 24 + 4 in the form t*h + f + r*h**2 and give r. -384 Express (-25*a + 273 - 273)*(-2 + 1 - 1) - 2080*a + 2571*a + 1700*a in the form v*a + o and give v. 2241 Express 2*f - 70*f**2 - 22*f**2 - 3 + 72*f**2 - 5*f**3 + 0*f**3 in the form g + r*f + a*f**2 + y*f**3 and give y. -5 Rearrange 366276 - 366276 - 6578*b to v + k*b and give k. -6578 Express -a**3 + 1977018*a**2 + 173 + a - 1977022*a**2 + a + 15 in the form k*a + w + f*a**2 + l*a**3 and give l. -1 Rearrange (17312*p**3 + 17844*p**3 + 2 + p**2 - 34598*p**3 + 2*p)*(-4 + 3 + 4) to the form u + l*p + v*p**2 + x*p**3 and give u. 6 Express 92*g - 48*g + 275*g + 49*g + 78*g + 2 in the form n*g + b and give n. 446 Rearrange (-13 + 9 + 10)*(-7*n + 1 - 5*n + 4*n + 11*n - 2*n - n + (0 - 1 + 0)*(-3*n + n - 2*n)) to the form v*n + d and give d. 6 Express 1612*g - 1089*g + 1488*g - 771*g + 2200*g as u + n*g and give n. 3440 Express (9627*k**3 - 4*k**2 + 0*k**2 - 4*k**2 + 8*k**2)*(0*k + 5*k + 0*k) as i*k**4 + n*k + b*k**3 + o + z*k**2 and give i. 48135 Rearrange (4 - 4 + 3)*(3 + k - 3) + 1280087 - 1280087 - 370*k + 0*k + k + 0*k + (-2 - 2 + 3)*(0*k + 0*k - k) + k + 3 - 3 to o + t*k and give t. -364 Rearrange -11508*k - 38242 + 27627*k + 19436*k + 38242 to s + t*k and give t. 35555 Rearrange 995*p**2 - 7*p + 1506*p**2 + 7*p to y + v*p + n*p**2 and give n. 2501 Express (19*t**2 + t**2 + 17*t**2)*(-2253*t + 2253*t + 497*t**2) + (2*t**3 + 4*t**2 - 4*t**2)*(t + 0*t + t) as d + c*t**4 + g*t + z*t**3 + r*t**2 and give c. 18393 Express -629*z + 7 - 9 + 5 + 499*z - 569*z in the form w + f*z and give f. -699 Rearrange 0*x + 5*x**4 + 54 + 4*x**2 - 4*x**4 - 2*x + x**2 to the form v*x**3 + b*x**4 + m*x + p*x**2 + g and give p. 5 Express 2 - 2*z**3 - 2 + (0*z**3 + z**3 - 6 - 5*z + 5)*(-16 - 15 - 3) - 10*z**2 + 10*z**2 + 9*z**3 as j*z**3 + i*z**2 + k*z + a and give k. 170 Rearrange -390 + 475 + 8*v + 638 + 435 + 0*v + 2*v + 0*v + (0*v + 0*v + v)*(0 + 3 - 1) to the form y*v + z and give z. 1158 Express -1149 + 593 + 1161*j**2 + 557 in the form m*j + z + i*j**2 and give i. 1161 Rearrange (7*z**2 + 554*z - 554*z)*(114*z + 33*z - 22*z) to the form g*z**3 + p*z + o*z**2 + h and give g. 875 Rearrange 46502*u**2 - 199*u**4 - 4*u**3 - u + 46488*u**2 - 92988*u**2 to the form p*u + d*u**3 + v + x*u**4 + l*u**2 and give p. -1 Rearrange 24*d**4 - 53*d + 2 + 52*d - 26*d**4 + 1396*d**2 to the form i*d**4 + b*d**2 + f + m*d + j*d**3 and give i. -2 Rearrange (-5 + 10 + 16*j - 4)*(46 - 5 + 28) to the form m + h*j and give h. 1104 Express (-2*w - 5*w + 5*w)*(-330 + 330 + 21*w)*(-32 + 27 - 158) in the form t + y*w + m*w**2 and give m. 6846 Rearrange 8861*b**3 + 272 - 137 + 163*b**2 - 135 - 164*b**2 to f*b**3 + l*b**2 + d + a*b and give f. 8861 Express 2677*h + 3517*h - 2728*h - 1 as l + s*h and give l. -1 Express 206921 + 24*i - 206921 + 10*i**4 + (-i**3 + 0*i**3 + 0*i**3)*(3*i - 8*i - 11*i) as x*i + k*i**2 + y*i**3 + s*i**4 + b and give s. 26 Rearrange -15 + 33*k**3 + 60*k**3 + 57*k**3 + 58*k**3 - 202*k**3 to the form t*k**2 + w*k**3 + q*k + f and give w. 6 Rearrange 1139769*t**2 - 2*t + 2055 - 1139769*t**2 - 3*t**3 + t to i*t**3 + n + b*t + p*t**2 and give b. -1 Rearrange -5*r**3 + r**3 - r**3 + (-5*r + 1 - 1)*(53*r**2 - 53*r**2 + 79*r**2) to the form x + n*r**2 + y*r + p*r**3 and give p. -400 Rearrange (-1 + 1 - 2)*(0 + 0 + r) + 4*r + 10*r - 7*r + 324*r - 1 + 1 + 201*r - 936*r to x + o*r and give o. -406 Rearrange -1216*p - 127*p**3 - 1 + 2*p**2 - 2*p**2 - 1214*p + p**2 + 2425*p to s*p**2 + b*p**3 + h*p + o and give o. -1 Express (-24*q + 1083*q + 634*q + 3 + 62*q - 3)*(-5 + 9*q + 5) in the form x + o*q**2 + d*q and give o. 15795 Express -16*k - 19*k + 36*k - 7 - 1 - 8*k**3 - 8*k**3 in the form o*k + w*k**3 + z + y*k**2 and give z. -8 Rearrange 138*c - 203*c + 525*c - 113*c - 2 + 582*c to the form n + q*c and give n. -2 Rearrange (-2 + 1 + 0)*(-213 - 111 - 301)*(-6*v**3 + 5*v**3 - 5*v**3) to the form p*v**2 + z*v + b + w*v**3 and give w. -3750 Rearrange (0 - 2 + 6*x - 9*x)*(434*x + 1162648 - 1162648) to b*x + g + p*x**2 and give p. -1302 Express 9035 - 9035 - 1019*l - 286*l - 5443*l in the form h*l + u and give u. 0 Express -20040*h + 155474 - 155474 in the form r*h + x and give x. 0 Express (0 - j + 0)*(-j - 5*j + 4*j) + (j - 1 + 1)*(23 + 28 + 15)*(4*j + 9*j - 4*j) as a*j**2 + f*j + w and give f. 0 Express 3*n**4 + n**2 - 20*n + 14*n + 2*n**2 + 2 + 28*n**3 + 0*n**4 + 9*n as z + t*n + u*n**2 + y*n**3 + k*n**4 and give u. 3 Rearrange 882*g - 5*g**2 - 885*g - 16*g**2 - 14*g**2 to the form h*g**2 + i*g + k and give h. -35 Express 238*i - 400*i**3 - 2*i**2 + 399*i**3 + 308 - i**4 - 236*i as t*i + m + y*i**2 + d*i**3 + b*i**4 and give m. 308 Express -1963*d**2 - 157*d**2 + 418*d**2 in the form q*d**2 + v + a*d and give a. 0 Rearrange (p + 0*p - 2*p)*(-112*p + 990*p - 138*p)*(0*p - 2*p + 0*p) to the form w*p**2 + f + c*p**3 + v*p and give c. 1480 Express (-82*n - 644 + 208*n + 642 + (2 + 4 - 5)*(2*n - 4 + 4) + n + 2*n - 4*n)*(3 + 0 - 1) in the form j + r*n and give r. 254 Rearrange (529*u + 174 - 174)*(10 - 6 - 8) to the form r*u + v and give r. -2116 Express -145 + 2*c + 6*c - 7*c - 592 + 3*c**2 - 62 in the form t + n*c + i*c**2 and give n. 1 Express (11 + 20 - 1)*(-7*f - 2 - 19*f + 3*f + 0*f - 2*f + 0*f + (-2*f - f + f)*(-3 + 0 + 4)) as u*f + d and give u. -810 Exp
{ "pile_set_name": "DM Mathematics" }
+ 231335.24? 231337.74 Subtract 905974 from 350. -905624 Sum 0.7 and 223545448. 223545448.7 What is -0.03 take away 117982.63? -117982.66 Calculate 6 + -363501061. -363501055 Subtract 0.5441 from -23697. -23697.5441 Put together 5096.60544 and 19. 5115.60544 What is -0.5 minus 309734755? -309734755.5 Calculate -1 + 25.240392. 24.240392 What is -26742 plus 249? -26493 Work out -285797 - 9244. -295041 Subtract 0.072723 from -423. -423.072723 Calculate -2 - 0.03147703. -2.03147703 What is 1586 plus -16.7042? 1569.2958 Subtract 2.12 from 0.18033. -1.93967 Work out -15 - 260421630. -260421645 Work out -63666714173 + 0.1. -63666714172.9 Work out 42995137 - -0.3. 42995137.3 What is -4428.3637 plus -11.5? -4439.8637 Calculate 0.5 - 108752525. -108752524.5 Add 27201.2 and 44891. 72092.2 Put together 0.0352 and -6795. -6794.9648 Subtract 478 from 1.8379272. -476.1620728 329.5473+-10691 -10361.4527 1834674 + -4 1834670 Sum 3 and 2711.99491. 2714.99491 What is 7830 plus 20.732? 7850.732 Calculate -1770 + -955736. -957506 What is -856516179 - -22? -856516157 51.1754201+0.06 51.2354201 Calculate -10.83 - -3657.86. 3647.03 What is -9793584 + -4.9? -9793588.9 Put together 9.6 and -0.011554. 9.588446 Sum 2724088 and 3. 2724091 Add 0.26 and 65274. 65274.26 Add 0.1 and -9317313. -9317312.9 What is 20.536 minus -0.1101? 20.6461 Subtract 40960 from 3083. -37877 What is 0.46196 take away -1.45? 1.91196 Add -0.03 and -330.1173. -330.1473 Work out -8780.45 - -0.4. -8780.05 What is 417112 minus -0.17? 417112.17 Calculate 2469616 - -3.2. 2469619.2 Sum -336247603 and 0.01. -336247602.99 Sum 21175 and 32.5. 21207.5 Work out 43.04085886 - -5. 48.04085886 What is -1.1 less than -3001613? -3001611.9 Work out -129313.385 + -6. -129319.385 Work out 1.402583 - 12. -10.597417 Total of 5082006 and -10. 5081996 Calculate -0.131918126861 + -0.2. -0.331918126861 What is 10 - -0.1463592? 10.1463592 What is -66227535.98 plus 0.3? -66227535.68 Work out -3 - 49.99319. -52.99319 Work out 153134.17 + 3. 153137.17 Calculate 7.89 + -6415. -6407.11 What is -12525 - -0.013791? -12524.986209 Work out 458 + -46.754896. 411.245104 Sum 1099779 and 75. 1099854 Total of 1400396914 and -60. 1400396854 Work out 1082.76056 - 0.059. 1082.70156 -2127.32 - 4508 -6635.32 Subtract 951.95 from 14457. 13505.05 Work out 0.0013127678 - -28. 28.0013127678 What is 0.21 - -0.21607? 0.42607 What is -27344353 - -24.9? -27344328.1 What is 1283143 + -4056? 1279087 Calculate -0.3 + -5101424. -5101424.3 -95.3 - 45.7298 -141.0298 What is the distance between -439.879 and 0.8591? 440.7381 What is -260759 minus 1.31? -260760.31 What is -483 minus 1538710? -1539193 What is -7015 take away -63? -6952 What is -390738 + -62.54? -390800.54 Total of 0.451186 and -0.01801. 0.433176 Add 19627 and 0.1367. 19627.1367 Subtract 0.202 from 0.0942567. -0.1077433 Work out -9.99625 - -0.09. -9.90625 What is -2628097973 take away 4? -2628097977 -46895 - -205.46 -46689.54 Calculate -2.97 + -232.6326. -235.6026 -471591.706 + 2 -471589.706 Work out -1.3539181 - 0.1. -1.4539181 Work out 265 + -97729. -97464 Calculate 0.3 - -94823.55. 94823.85 Sum -0.3 and -642457. -642457.3 Put together -436514335 and -1.29. -436514336.29 What is 0.86 plus 244240? 244240.86 Sum -70170433 and -0.06. -70170433.06 What is the distance between -0.134 and 1359.82? 1359.954 Subtract 169 from -220770.15. -220939.15 What is -19.9381 minus 72095? -72114.9381 What is 12719.9 less than -12.7728? -12732.6728 Sum 5 and 49763.4. 49768.4 0.5 + 0.056234845 0.556234845 What is 3071.1 + -1568.8? 1502.3 What is 12566.7 less than 0.34? -12566.36 Work out 0.1 + -197951296. -197951295.9 What is 15109140 + -5? 15109135 -9138.6045+0.996 -9137.6085 Add together 2.574084 and -7. -4.425916 Add together 38.1404 and -75141. -75102.8596 What is the difference between 4107 and -3140? 7247 What is the difference between -406 and 36348508? 36348914 Subtract 0.191324 from 14987. 14986.808676 What is -1066762 minus 0.07? -1066762.07 What is -1932 minus 364.8? -2296.8 Work out -0.0081193271 - 0.6. -0.6081193271 What is the difference between -467 and -30.363? 436.637 What is -4 plus -1051.7925? -1055.7925 Calculate -10694 + -1.114. -10695.114 Add together -97716 and -11236. -108952 Calculate 3 + -2711474271. -2711474268 What is 1846.311 less than -1.671? -1847.982 What is 0.5 plus -0.16739762? 0.33260238 Sum 36100406 and 0.7. 36100406.7 What is the distance between -22 and 0.64322? 22.64322 What is 336 minus -31718? 32054 What is -0.8 + -7700114? -7700114.8 What is 0.1 + -0.129881? -0.029881 What is the difference between -1.1365481 and -6? 4.8634519 What is -1158.21 - 1.6? -1159.81 142+162477 162619 Work out 0.0968164 - 421.5. -421.4031836 What is the distance between -21212 and -58.484? 21153.516 Work out -0.009 + 286695. 286694.991 Calculate 0.02 + 22729138198. 22729138198.02 Work out 3637 + -87. 3550 What is -6.978171 plus 4? -2.978171 Subtract 0.0561243 from 44. 43.9438757 What is -234673971.66 + -0.1? -234673971.76 Add together 948 and -11660.2. -10712.2 What is the distance between -0.17261 and -0.0082? 0.16441 Put together -3326 and -9721693. -9725019 Calculate 11 - 40636313.9. -40636302.9 -4000.047156 - 0.3 -4000.347156 Work out -6551562 - -1471.4. -6550090.6 What is the difference between -34235.732 and 0.9? 34236.632 What is -35933.53 minus -5.78? -35927.75 What is 1.3 - 27638.90057? -27637.60057 Calculate -1.6 - 209053768. -209053769.6 What is the difference between 43338.6 and -3327? 46665.6 What is -0.015 - 1995958? -1995958.015 What is 609162 less than 4881? -604281 Work out -1.248 - -4.8291. 3.5811 Calculate 0.14961 - 99. -98.85039 Calculate 54433.1 + 1443.2. 55876.3 Work out -2.3 - 3239120.6. -3239122.9 Add -205 and -111522. -111727 -5110 + -180.37 -5290.37 What is -10179636 less than -0.3? 10179635.7 What is -267 + 1089270? 1089003 What is 22 - -18274170? 18274192 Put together 349048083 and -3.4. 349048079.6 Subtract -2.6 from -0.287418. 2.312582 What is the distance between -6048 and -925.5? 5122.5 Sum -2.3 and 43.72332. 41.42332 Calculate -0.01 - -1803712. 1803711.99 What is -2 - 558756693? -558756695 -49665 + -122 -49787 Add 46.20959 and -703. -656.79041 Subtract 19036378738 from 0.8. -19036378737.2 Add 0.0789 and 50259.72. 50259.7989 Calculate 9 - 2.0262042. 6.9737958 -215.86467 - -3 -212.86467 Put together 806 and 0.074. 806.074 Add 57943411.1 and -15. 57943396.1 What is -514.75 minus -186.6? -328.15 Subtract -5.4 from 1397125486. 1397125491.4 Add together -173.732 and 19614. 19440.268 What is the distance between 0.055 and -2.3112? 2.3662 What is the difference between -47.86 and -2287? 2239.14 -1 - 44898.151 -44899.151 254.5833 + -139.97 114.6133 What is 0.95 + 206715? 206715.95 Total of 9912 and 0.0298. 9912.0298 Total of 899140 and -3396.7. 895743.3 Add together -1 and 526643985. 526643984 What is the difference between 55 and -1874.592? 1929.592 Subtract -122.9935 from -2.4. 120.5935 What is -0.03 plus -16100266? -16100266.03 Calculate -15508.38 + -3100. -18608.38 What is 0.4 less than 91430263? 91430262.6 Work out -0.0666 + 5357712. 5357711.9334 What is -8 plus -39540769.5? -39540777.5 Calculate 992 + -27793700. -27792708 What is the difference between 1959.58275 and 3? 1956.58275 Calculate 61.206 + -0.293199. 60.912801 What is -0.3 take away -2114558850? 2114558849.7 Add together -46.31308231 and 3. -43.31308231 What is 6 take away -4089822030? 4089822036 What is 6823231 + -0.16? 6823230.84 What is -25927 take away -1.2095? -25925.7905 -2.65 + 0.63124 -2.01876 1092107+-0.023 1092106.977 Subtract 1.443 from -9828.015. -9829.458 Sum -1334.6 and -883. -2217.6 What is -141873220973 - 5? -141873220978 What is -17691867 less than -0.7? 17691866.3 Work out 5023 - -0.589293. 5023.589293 What is 4 plus 4214083? 4214087 What is 81.04487 + 36.3? 117.34487 What is -3270.8072 minus -102? -3168.8072 Calculate 0.032 + 0.12818487. 0.16018487 Put together -351985.08 and -7. -351992.08 Calculate -54.711730224 - -4. -50.711730224 Put together 2 and 0.00827713. 2.00827713 What is 2.4 take away 1.8405216? 0.5594784 What is -0.07 plus 325673253? 325673252.93 What is -42.0912 less than 1.5? 43.5912 What is -2675.34 - 103? -2778.34 What is -15 minus 392180? -392195 What is 0.5 take
{ "pile_set_name": "DM Mathematics" }
een 6:48 PM and 3:25 AM? 517 What is 625 minutes after 7:13 AM? 5:38 PM How many minutes are there between 2:42 AM and 2:22 PM? 700 What is 223 minutes after 5:40 PM? 9:23 PM What is 4 minutes after 4:54 PM? 4:58 PM What is 587 minutes after 3:11 PM? 12:58 AM What is 634 minutes after 5:50 PM? 4:24 AM How many minutes are there between 8:34 PM and 6:18 AM? 584 How many minutes are there between 10:47 AM and 2:44 PM? 237 How many minutes are there between 7:23 PM and 8:53 PM? 90 How many minutes are there between 10:58 PM and 4:42 AM? 344 How many minutes are there between 3:32 PM and 1:20 AM? 588 What is 504 minutes before 5:29 AM? 9:05 PM How many minutes are there between 5:06 PM and 6:06 PM? 60 How many minutes are there between 4:33 AM and 12:27 PM? 474 What is 207 minutes after 7:11 PM? 10:38 PM What is 538 minutes before 12:48 AM? 3:50 PM What is 667 minutes after 1:16 AM? 12:23 PM How many minutes are there between 7:35 PM and 5:58 AM? 623 How many minutes are there between 6:03 AM and 12:57 PM? 414 How many minutes are there between 9:12 PM and 8:17 AM? 665 How many minutes are there between 6:01 PM and 5:05 AM? 664 How many minutes are there between 6:44 AM and 2:56 PM? 492 What is 341 minutes after 9:39 PM? 3:20 AM What is 175 minutes before 3:23 PM? 12:28 PM How many minutes are there between 3:25 PM and 11:26 PM? 481 How many minutes are there between 8:16 AM and 7:53 PM? 697 How many minutes are there between 2:57 AM and 3:51 AM? 54 What is 473 minutes after 3:44 PM? 11:37 PM What is 303 minutes after 1:34 PM? 6:37 PM What is 414 minutes after 5:00 PM? 11:54 PM What is 453 minutes after 12:26 AM? 7:59 AM How many minutes are there between 7:17 PM and 2:11 AM? 414 What is 253 minutes before 1:27 PM? 9:14 AM What is 443 minutes before 3:47 AM? 8:24 PM What is 251 minutes after 7:33 AM? 11:44 AM How many minutes are there between 3:27 AM and 7:36 AM? 249 How many minutes are there between 5:45 PM and 7:23 PM? 98 How many minutes are there between 10:29 PM and 11:19 PM? 50 How many minutes are there between 9:44 PM and 9:06 AM? 682 What is 676 minutes after 8:02 AM? 7:18 PM What is 56 minutes before 7:20 PM? 6:24 PM What is 386 minutes after 6:28 AM? 12:54 PM What is 707 minutes after 2:10 AM? 1:57 PM What is 160 minutes before 4:27 AM? 1:47 AM How many minutes are there between 3:40 AM and 2:43 PM? 663 How many minutes are there between 1:09 AM and 3:16 AM? 127 How many minutes are there between 1:07 PM and 3:47 PM? 160 What is 321 minutes after 6:27 AM? 11:48 AM How many minutes are there between 2:37 PM and 10:59 PM? 502 How many minutes are there between 12:44 PM and 8:10 PM? 446 How many minutes are there between 9:08 PM and 11:08 PM? 120 How many minutes are there between 11:24 AM and 1:21 PM? 117 How many minutes are there between 7:42 AM and 4:07 PM? 505 What is 92 minutes after 5:55 AM? 7:27 AM How many minutes are there between 2:02 PM and 9:50 PM? 468 How many minutes are there between 1:07 AM and 4:22 AM? 195 How many minutes are there between 6:45 AM and 10:08 AM? 203 What is 630 minutes before 11:09 AM? 12:39 AM How many minutes are there between 3:58 PM and 6:32 PM? 154 How many minutes are there between 8:04 AM and 5:02 PM? 538 How many minutes are there between 11:27 AM and 7:15 PM? 468 How many minutes are there between 7:37 AM and 10:01 AM? 144 How many minutes are there between 5:44 AM and 5:38 PM? 714 How many minutes are there between 5:27 AM and 8:00 AM? 153 How many minutes are there between 6:34 AM and 9:02 AM? 148 How many minutes are there between 8:07 AM and 2:45 PM? 398 What is 385 minutes before 3:48 AM? 9:23 PM How many minutes are there between 4:33 AM and 8:43 AM? 250 How many minutes are there between 2:09 AM and 9:47 AM? 458 How many minutes are there between 4:42 PM and 5:41 PM? 59 How many minutes are there between 1:53 AM and 9:12 AM? 439 How many minutes are there between 11:36 AM and 10:31 PM? 655 How many minutes are there between 10:11 PM and 1:04 AM? 173 How many minutes are there between 9:56 PM and 1:25 AM? 209 What is 35 minutes before 12:18 AM? 11:43 PM How many minutes are there between 7:50 AM and 7:38 PM? 708 What is 252 minutes after 9:57 PM? 2:09 AM What is 155 minutes after 2:56 AM? 5:31 AM How many minutes are there between 9:47 AM and 1:10 PM? 203 How many minutes are there between 9:58 PM and 3:02 AM? 304 How many minutes are there between 5:49 AM and 6:29 AM? 40 What is 289 minutes after 5:10 PM? 9:59 PM What is 152 minutes before 8:32 PM? 6:00 PM How many minutes are there between 5:50 AM and 12:01 PM? 371 How many minutes are there between 11:03 AM and 6:53 PM? 470 How many minutes are there between 7:42 AM and 7:25 PM? 703 What is 142 minutes after 9:05 PM? 11:27 PM How many minutes are there between 4:25 AM and 9:02 AM? 277 What is 570 minutes after 1:15 PM? 10:45 PM What is 591 minutes after 10:41 AM? 8:32 PM What is 391 minutes after 1:16 PM? 7:47 PM How many minutes are there between 3:15 AM and 6:21 AM? 186 What is 217 minutes after 5:57 PM? 9:34 PM How many minutes are there between 6:07 AM and 12:45 PM? 398 What is 240 minutes after 11:27 AM? 3:27 PM How many minutes are there between 4:34 PM and 12:56 AM? 502 How many minutes are there between 9:04 PM and 3:03 AM? 359 How many minutes are there between 2:44 AM and 8:11 AM? 327 How many minutes are there between 3:26 AM and 10:12 AM? 406 What is 474 minutes after 12:26 AM? 8:20 AM How many minutes are there between 8:53 AM and 7:45 PM? 652 How many minutes are there between 12:03 PM and 5:01 PM? 298 How many minutes are there between 3:17 PM and 9:28 PM? 371 How many minutes are there between 9:52 AM and 6:00 PM? 488 How many minutes are there between 8:57 PM and 11:22 PM? 145 How many minutes are there between 11:39 PM and 6:06 AM? 387 How many minutes are there between 1:28 PM and 3:09 PM? 101 What is 660 minutes before 12:34 PM? 1:34 AM How many minutes are there between 7:19 AM and 2:01 PM? 402 How many minutes are there between 8:58 AM and 6:14 PM? 556 How many minutes are there between 9:57 AM and 8:22 PM? 625 What is 690 minutes before 7:01 AM? 7:31 PM What is 20 minutes after 1:23 PM? 1:43 PM What is 19 minutes after 12:39 AM? 12:58 AM How many minutes are there between 7:56 PM and 1:09 AM? 313 What is 136 minutes before 1:38 AM? 11:22 PM What is 286 minutes after 11:38 PM? 4:24 AM How many minutes are there between 6:32 AM and 1:36 PM? 424 How many minutes are there between 4:15 PM and 3:40 AM? 685 What is 481 minutes before 12:12 AM? 4:11 PM How many minutes are there between 2:29 AM and 3:58 AM? 89 How many minutes are there between 10:41 AM and 10:31 PM? 710 What is 535 minutes before 4:51 PM? 7:56 AM How many minutes are there between 7:44 AM and 7:05 PM? 681 How many minutes are there between 5:35 PM and 6:11 PM? 36 What is 428 minutes after 9:26 PM? 4:34 AM How many minutes are there between 3:49 PM and 3:32 AM? 703 How many minutes are there between 6:57 PM and 11:00 PM? 243 How many minutes are there between 2:00 PM and 12:25 AM? 625 What is 570 minutes before 11:20 AM? 1:50 AM What is 302 minutes after 6:10 PM? 11:12 PM How many minutes are there between 9:31 PM and 1:14 AM? 223 How many minutes are there between 7:43 AM and 3:56 PM? 493 How many minutes are there between 3:11 PM and 11:27 PM? 496 What is 710 minutes before 12:49 PM? 12:59 AM What is 482 minutes after 9:06 PM? 5:08 AM How many minutes are there between 12:40 PM and 2:48 PM? 128 How many minutes are there between 8:00 AM and 4:40 PM? 520 How many minutes are there between 7:53 PM and 10:59 PM? 186 How many minutes are there between 6:01 AM and 8:07 AM? 126 How many minutes are there between 4:45 PM and 12:31 AM? 466 What is 217 minutes before 2:29 PM? 10:52 AM What is 514 minutes before 9:08 AM? 12:34 AM How many minutes are there between 5:42 PM and 12:46 AM? 424 How many minutes are there between 6:28 AM and 10:39 AM? 251 What is 50 minutes after 4:39 PM? 5:29 PM How many minutes are there between 1:53 AM and 8:57 AM? 424 How many minutes are there between 9:07 PM and 6:05 AM? 538 What is 689 minutes after 5:23 AM? 4:52 PM How many minutes are there between 6:10 PM and 9:15 PM? 185 What is 42 minutes before 8:35 AM? 7:53 AM What
{ "pile_set_name": "DM Mathematics" }
in milligrams? 250 How many millilitres are there in 86558.95l? 86558950 What is 50769.55 millennia in years? 50769550 What is 7/25 of a tonne in kilograms? 280 How many years are there in thirty-one fifths of a decade? 62 What is eighty-seven fifths of a century in years? 1740 What is seventeen quarters of a litre in millilitres? 4250 What is 27455.77m in kilometers? 27.45577 How many years are there in 13/4 of a millennium? 3250 What is 8/3 of a hour in minutes? 160 What is 0.871511 hours in nanoseconds? 3137439600000 Convert 381.2165 micrograms to grams. 0.0003812165 How many centimeters are there in 6/25 of a kilometer? 24000 What is 3/40 of a litre in millilitres? 75 How many millilitres are there in thirteen fifths of a litre? 2600 How many grams are there in 3/32 of a tonne? 93750 How many millilitres are there in 1/4 of a litre? 250 How many tonnes are there in 280.1919ng? 0.0000000000002801919 How many milliseconds are there in three tenths of a minute? 18000 What is 21.2073471 seconds in days? 0.00024545540625 How many kilograms are there in 11/4 of a tonne? 2750 What is 49.51623kg in micrograms? 49516230000 How many millilitres are there in 283.0312 litres? 283031.2 What is ten thirds of a decade in months? 400 How many millimeters are there in fifty-two fifths of a centimeter? 104 What is four thirds of a century in months? 1600 Convert 33.91687 weeks to minutes. 341882.0496 How many micrograms are there in seven quarters of a milligram? 1750 How many tonnes are there in 5.197074 nanograms? 0.000000000000005197074 What is 13/4 of a litre in millilitres? 3250 How many micrograms are there in 21/5 of a milligram? 4200 How many kilograms are there in 25/8 of a tonne? 3125 How many nanoseconds are there in 377.036 hours? 1357329600000000 What is 16609.91l in millilitres? 16609910 What is 0.4583116ug in grams? 0.0000004583116 What is six fifths of a meter in centimeters? 120 How many millimeters are there in 2106.076cm? 21060.76 What is seven sixths of a century in months? 1400 What is 1/9 of a week in seconds? 67200 What is 469.3353 months in years? 39.111275 How many months are there in 3.422637 decades? 410.71644 How many micrometers are there in three fifths of a centimeter? 6000 How many months are there in eight thirds of a year? 32 What is 1835.485mm in kilometers? 0.001835485 What is 1/64 of a kilogram in milligrams? 15625 What is 2/7 of a week in minutes? 2880 What is 961.5795 millennia in years? 961579.5 How many grams are there in 32/5 of a kilogram? 6400 How many nanograms are there in 25/4 of a microgram? 6250 Convert 4901153.4 seconds to hours. 1361.4315 What is three tenths of a microgram in nanograms? 300 How many years are there in seven eighths of a millennium? 875 How many millilitres are there in seven eighths of a litre? 875 How many grams are there in 36.10908 micrograms? 0.00003610908 What is 18/5 of a centimeter in millimeters? 36 How many millilitres are there in three eighths of a litre? 375 How many months are there in 8.999462 centuries? 10799.3544 How many hours are there in 1/24 of a week? 7 What is 588.7441l in millilitres? 588744.1 What is 138.3712 grams in tonnes? 0.0001383712 What is 4.661361 months in millennia? 0.00038844675 Convert 785.974 milligrams to kilograms. 0.000785974 Convert 3.116396 weeks to milliseconds. 1884796300.8 How many decades are there in seven halves of a millennium? 350 How many kilometers are there in 39294.76nm? 0.00000003929476 What is 74.56689 centuries in years? 7456.689 Convert 663.5043 tonnes to grams. 663504300 How many micrograms are there in 614.839 kilograms? 614839000000 What is 883.9337 years in decades? 88.39337 What is 27839.1ml in litres? 27.8391 How many centuries are there in 13/5 of a millennium? 26 How many nanometers are there in thirteen fifths of a micrometer? 2600 How many minutes are there in 1/4 of a day? 360 What is 0.868697 milligrams in micrograms? 868.697 What is 856.099l in millilitres? 856099 How many micrometers are there in 0.5609126 meters? 560912.6 What is seven halves of a litre in millilitres? 3500 How many centuries are there in 773373.4 millennia? 7733734 What is 5.128035 kilometers in centimeters? 512803.5 How many nanograms are there in 2.217682 milligrams? 2217682 What is one fifth of a centimeter in millimeters? 2 How many millilitres are there in 3477.813 litres? 3477813 How many years are there in 3/25 of a millennium? 120 What is 89859.85 micrometers in nanometers? 89859850 Convert 4.861553mm to kilometers. 0.000004861553 How many months are there in 4/3 of a year? 16 What is 3/32 of a millimeter in nanometers? 93750 What is 3492.95l in millilitres? 3492950 How many millilitres are there in twenty-seven fifths of a litre? 5400 What is 26122.16nm in centimeters? 0.002612216 How many millennia are there in 2.8277187 months? 0.000235643225 What is 6/25 of a kilometer in centimeters? 24000 Convert 478645.7nm to kilometers. 0.0000004786457 What is 3/7 of a week in days? 3 What is 2352.94g in nanograms? 2352940000000 How many grams are there in 25/2 of a kilogram? 12500 How many microseconds are there in 18/5 of a millisecond? 3600 Convert 3970.932mg to micrograms. 3970932 How many micrometers are there in 423243.2cm? 4232432000 What is 3/10 of a millimeter in micrometers? 300 How many millennia are there in 96978.66 years? 96.97866 How many milligrams are there in 553.7545ug? 0.5537545 How many millilitres are there in 18/5 of a litre? 3600 How many nanometers are there in seven quarters of a micrometer? 1750 Convert 487166.4km to millimeters. 487166400000 How many meters are there in 0.9862313mm? 0.0009862313 How many days are there in 19.5246369us? 0.00000000022597959375 What is one fifth of a tonne in kilograms? 200 What is 268.0476 decades in months? 32165.712 How many months are there in twenty-one halves of a year? 126 How many months are there in 15/4 of a millennium? 45000 Convert 0.8389184mm to nanometers. 838918.4 How many micrometers are there in one quarter of a millimeter? 250 What is 45.55213mm in micrometers? 45552.13 Convert 94.46438ml to litres. 0.09446438 What is 3/5 of a millimeter in micrometers? 600 What is 2.770731 millilitres in litres? 0.002770731 What is 21/2 of a century in months? 12600 How many months are there in eight fifteenths of a decade? 64 What is four thirds of a week in minutes? 13440 What is 16.741659 months in years? 1.39513825 Convert 6.164343 minutes to milliseconds. 369860.58 How many millilitres are there in 3/10 of a litre? 300 How many nanometers are there in one fifth of a micrometer? 200 What is 30.00499l in millilitres? 30004.99 What is 4000.65ng in grams? 0.00000400065 How many seconds are there in fifty-two thirds of a hour? 62400 How many litres are there in 0.8066625 millilitres? 0.0008066625 How many tonnes are there in 2.458761kg? 0.002458761 What is one tenth of a millimeter in micrometers? 100 What is 1.191504 days in minutes? 1715.76576 Convert 8761.618 hours to nanoseconds. 31541824800000000 How many hours are there in 3/28 of a week? 18 Convert 0.878896 nanograms to micrograms. 0.000878896 How many nanometers are there in twenty-seven halves of a micrometer? 13500 How many nanoseconds are there in 0.9667063 microseconds? 966.7063 What is twenty-seven quarters of a century in months? 8100 How many seconds are there in 10/9 of a hour? 4000 Convert 9195.294 millilitres to litres. 9.195294 How many months are there in twenty-six fifths of a millennium? 62400 What is fifty-one eighths of a meter in millimeters? 6375 What is 11/4 of a kilometer in meters? 2750 What is one quarter of a litre in millilitres? 250 How many hours are there in 893685.7 weeks? 150139197.6 How many nanometers are there in 453232.1 kilometers? 453232100000000000 What is six fifths of a tonne in kilograms? 1200 How many years are there in seventeen quarters of a millennium? 4250 What is 25/2 of a century in decades? 125 What is 82.86618 centimeters in nanometers? 828661800 What is 315.1505cm in kilometers? 0.003151505 Convert 2.949241 micrograms to milligrams. 0.002949241 What is 990124.6 tonnes in milligrams? 990124600000000 What is 19/4 of a millennium in months? 57000 How many grams are there in 9.794332t
{ "pile_set_name": "DM Mathematics" }
*2 + 17 What is the h'th term of 284, 566, 848, 1130? 282*h + 2 What is the t'th term of 52, 62, 96, 166, 284? 2*t**3 - 4*t + 54 What is the r'th term of 210, 322, 432, 540? -r**2 + 115*r + 96 What is the h'th term of 1, 21, 41, 61? 20*h - 19 What is the d'th term of -13, -11, -21, -49, -101? -d**3 + 9*d - 21 What is the m'th term of -26, -43, -60, -77? -17*m - 9 What is the p'th term of 0, -20, -42, -66, -92? -p**2 - 17*p + 18 What is the r'th term of -14, 10, 34, 58, 82? 24*r - 38 What is the w'th term of 67, 72, 77, 82? 5*w + 62 What is the a'th term of 2598, 2597, 2596? -a + 2599 What is the c'th term of -153, -632, -1429, -2544? -159*c**2 - 2*c + 8 What is the n'th term of 77, 281, 621, 1097, 1709, 2457, 3341? 68*n**2 + 9 What is the j'th term of -6, -16, -26, -36, -46, -56? -10*j + 4 What is the r'th term of 2042, 2042, 2040, 2036, 2030, 2022, 2012? -r**2 + 3*r + 2040 What is the d'th term of 67, 113, 127, 103, 35, -83, -257? -d**3 - 10*d**2 + 83*d - 5 What is the c'th term of -21, -58, -155, -342, -649, -1106, -1743? -5*c**3 - 2*c - 14 What is the l'th term of -55, -56, -57, -58? -l - 54 What is the q'th term of -11, 1, 13, 25, 37, 49? 12*q - 23 What is the y'th term of 1054, 1057, 1062, 1069, 1078, 1089? y**2 + 1053 What is the i'th term of -4, -23, -62, -127, -224? -i**3 - 4*i**2 + 1 What is the x'th term of 61, 91, 109, 115, 109, 91? -6*x**2 + 48*x + 19 What is the f'th term of -10, -24, -42, -64, -90, -120? -2*f**2 - 8*f What is the w'th term of -2054, -4109, -6164, -8219, -10274, -12329? -2055*w + 1 What is the z'th term of 2981, 2978, 2975, 2972? -3*z + 2984 What is the k'th term of -14, -37, -64, -95, -130? -2*k**2 - 17*k + 5 What is the b'th term of -59, -68, -87, -122, -179, -264? -b**3 + b**2 - 5*b - 54 What is the n'th term of -4, -19, -60, -139, -268, -459? -2*n**3 - n**2 + 2*n - 3 What is the z'th term of -175, -161, -147? 14*z - 189 What is the h'th term of -210, -419, -626, -831, -1034, -1235, -1434? h**2 - 212*h + 1 What is the y'th term of -173, -175, -179, -185? -y**2 + y - 173 What is the y'th term of 5, 23, 41, 59? 18*y - 13 What is the l'th term of -324, -391, -458, -525, -592, -659? -67*l - 257 What is the q'th term of -19, -52, -121, -244, -439, -724, -1117? -3*q**3 - 12*q - 4 What is the y'th term of 428, 857, 1286? 429*y - 1 What is the m'th term of -28, -62, -98, -136, -176? -m**2 - 31*m + 4 What is the t'th term of -51, -40, -25, -6, 17, 44, 75? 2*t**2 + 5*t - 58 What is the v'th term of -17, -33, -49, -65, -81, -97? -16*v - 1 What is the s'th term of -183, -364, -545, -726, -907, -1088? -181*s - 2 What is the f'th term of 10, 31, 92, 217, 430, 755, 1216, 1837? 4*f**3 - 4*f**2 + 5*f + 5 What is the q'th term of 159, 175, 209, 267, 355? q**3 + 3*q**2 + 155 What is the m'th term of 296, 2200, 7360, 17402, 33952, 58636, 93080, 138910? 271*m**3 + 2*m**2 + m + 22 What is the z'th term of -384, -1414, -3124, -5508, -8560, -12274, -16644? z**3 - 346*z**2 + z - 40 What is the a'th term of 173, 341, 509, 677, 845? 168*a + 5 What is the g'th term of 36, 54, 72, 90, 108, 126? 18*g + 18 What is the s'th term of 152, 332, 512? 180*s - 28 What is the t'th term of 975, 960, 919, 840, 711, 520? -2*t**3 - t**2 + 2*t + 976 What is the s'th term of 1800, 3588, 5376? 1788*s + 12 What is the s'th term of -24, -24, -26, -30, -36, -44, -54? -s**2 + 3*s - 26 What is the z'th term of -238, -185, -46, 221, 658, 1307, 2210? 7*z**3 + z**2 + z - 247 What is the i'th term of 132, 155, 198, 267, 368? i**3 + 4*i**2 + 4*i + 123 What is the f'th term of -405, -814, -1223? -409*f + 4 What is the c'th term of 44, 165, 358, 617, 936, 1309? -c**3 + 42*c**2 + 2*c + 1 What is the v'th term of -92, -176, -262, -350, -440, -532, -626? -v**2 - 81*v - 10 What is the x'th term of -39, -32, -29, -36, -59, -104? -x**3 + 4*x**2 + 2*x - 44 What is the b'th term of 681, 1355, 2021, 2679, 3329, 3971? -4*b**2 + 686*b - 1 What is the a'th term of 239, 238, 235, 230, 223, 214? -a**2 + 2*a + 238 What is the w'th term of 143, 1131, 3821, 9065, 17715, 30623, 48641? 142*w**3 - w**2 - 3*w + 5 What is the r'th term of 21, 11, 1, -9, -19? -10*r + 31 What is the o'th term of 410, 406, 402, 398? -4*o + 414 What is the d'th term of -55, -220, -495, -880, -1375, -1980? -55*d**2 What is the b'th term of 64, 112, 158, 202, 244, 284, 322? -b**2 + 51*b + 14 What is the z'th term of 317, 319, 311, 287, 241, 167? -z**3 + z**2 + 6*z + 311 What is the x'th term of -61, -136, -223, -328, -457, -616? -x**3 - 68*x + 8 What is the r'th term of -1953, -1957, -1973, -2007, -2065, -2153? -r**3 + 3*r - 1955 What is the i'th term of 84, 289, 630, 1107, 1720, 2469, 3354? 68*i**2 + i + 15 What is the x'th term of 288, 1163, 2622, 4665, 7292? 292*x**2 - x - 3 What is the w'th term of 17, 36, 59, 86, 117, 152, 191? 2*w**2 + 13*w + 2 What is the f'th term of -57, -95, -139, -189, -245? -3*f**2 - 29*f - 25 What is the x'th term of -32, -22, -12? 10*x - 42 What is the v'th term of -18, -41, -72, -111? -4*v**2 - 11*v - 3 What is the j'th term of 68, 77, 86, 95, 104, 113? 9*j + 59 What is the k'th term of 60, 204, 348, 492, 636? 144*k - 84 What is the o'th term of 73, 260, 561, 976? 57*o**2 + 16*o What is the l'th term of -58, -94, -140, -202, -286, -398, -544? -l**3 + l**2 - 32*l - 26 What is the c'th term of -273, -535, -797, -1059, -1321? -262*c - 11 What is the i'th term of -6, -2, 4, 12, 22? i**2 + i - 8 What is the j'th term of -3, -8, -13, -18, -23, -28? -5*j + 2 What is the c'th term of 21, 23, 15, -9, -55, -129? -c**3 + c**2 + 6*c + 15 What is the u'th term of -48, -130, -268, -462? -28*u**2 + 2*u - 22 What is the g'th term of -297, -615, -933, -1251, -1569? -318*g + 21 What is the p'th term of 3839, 3827, 3813, 3797? -p**2 - 9*p + 3849 What is the b'th term of -110, -237, -378, -539, -726? -b**3 - b**2 - 117*b + 9 What is the n'th term of 13, -21, -55, -89? -34*n + 47 What is the u'th term of 1021, 2031, 3031, 4015, 4977, 5911? -u**3 + u**2 + 1014*u + 7 What is the s'th term of -758, -747, -730, -707, -678? 3*s**2 + 2*s - 763 What is the p'th term of -5892, -11781, -17666, -23547, -29424, -35297, -41166? 2*p**2 - 5895*p + 1 What is the p'th term of -20, -174, -430, -788, -1248, -1810? -51*p**2 - p + 32 What is the v'th term of 6800, 6796, 6790, 6782? -v**2 - v + 6802 What is the m'th term of 401, 419, 463, 545, 677? 2*m**3 + m**2 + m + 397 What is the j'th term of -20, -23, -26? -3*j - 17 What is the d'th term of -54, 37, 196, 429, 742? d**3 + 28*d**2 - 83 What is the w'th term of 21, 54, 109, 198, 333, 526, 789, 1134? 2*w**3 - w**2 + 22*w - 2 What is the s'th term of 630, 639, 650, 663? s**2 + 6*s + 623 What is the v'th term of 105, 108, 111, 114, 117, 120? 3*v + 102 What is the c'th term of 9858, 9848, 9824, 9780, 9710, 9608, 9468? -c**3 - c**2 + 9860 What is the i'th term of -195, -199, -201, -201, -199, -195, -189? i**2 - 7*i - 189 What is the v'th term of 90, 124, 202, 342, 562, 880, 1314, 1882? 3*v**3 + 4*v**2 + v + 82 What is the q'th term of -55, -101, -123, -109, -47? 2*q**3 - 60*q + 3 What is the t'th term of -3086, -3087, -3088, -3089? -t - 3085 What is the i'th term of -479, -464, -423, -344, -215? 2*i**3 + i**2 - 2*i - 480 What is the x'th term of 4408, 8810, 13212, 17614? 4402*x + 6 What is the s'th term of -7, -18, -29, -40? -11*s + 4 What is the g'th term of -30, -23, -14, -3, 10, 25, 42? g**2 + 4*g - 35 What is the x'th term of 2791, 5577, 8363, 11149? 2786*x + 5 What is the p'th term of 1, 43, 85, 127? 42*p - 41 What is the k'th term of 49, 49, 35, 1, -59, -151? -k**3 - k**2 + 10*k + 41 What is the q'th term of -2, -21, -54, -101, -162, -237, -326? -7*q**2 + 2*q + 3 What is the k'th term of 6, 6, -4, -30, -78, -154, -264? -k**3 + k**2 + 4*k + 2 What is the s'th term of 174, 152, 126, 90, 38, -36, -138, -274? -s**3 + 4*s**2 - 27*s + 198 What is the n'th term of 6, -1, -32, -99, -214, -389, -636? -2*n**3 + 7*n + 1 What is the c'th term of -60, -115, -170, -225? -55*c - 5 What is the j'th term of 484, 986, 1506, 2044, 2600, 3174? 9*j**2 + 475*j What is the m'th term of 27, -7, -33, -45, -37? m**3 - 2*m**2 - 35*m + 63 What is the b'th term of 15, 20, 17, 6, -13, -40? -4*b**2 + 17*b + 2 What is the c'th term of 181, 327, 473, 619, 765, 911? 146*c + 35 What is the d'th ter
{ "pile_set_name": "DM Mathematics" }
*z**2 - 378466009*z? 210620*z**3 + 12*z**2 - 37270 Find the third derivative of -42*c**5 + 4547*c**4 + 3800618*c**2. -2520*c**2 + 109128*c Differentiate -16*i**4 + 96220*i**2 + 2*i - 41040017. -64*i**3 + 192440*i + 2 What is the second derivative of -3*f**2*r**3*x + 36355439*f**2*r*x**3 - 799*f*r**3*x**3 + 2*f*r**3 + f*r**2*x - f*x**2 - 25*r**2 wrt f? -6*r**3*x + 72710878*r*x**3 What is the second derivative of 33330443*s**2*u**2 - s**2*u - 28*s**2 + 468599*s*u wrt u? 66660886*s**2 What is the second derivative of 519*i**2*s + 3560*i**2 - 160453*i*s + 5*s wrt i? 1038*s + 7120 What is the derivative of -b**4 - 9015874*b - 170631199 wrt b? -4*b**3 - 9015874 What is the first derivative of 1654346*b**2 + 26*b + 212177314 wrt b? 3308692*b + 26 Find the second derivative of 5451383*u**2 - 5691563*u wrt u. 10902766 What is the third derivative of 8*x**4 + 1911582*x**3 - 72794*x**2 - 6*x - 2 wrt x? 192*x + 11469492 What is the second derivative of 25201160*a**3 - 7523*a - 3607 wrt a? 151206960*a What is the third derivative of 10*c**2*j**3 + 449981*c**2*j**2 - 4*c**2*j + 28*c*j**4 + 639*c*j**3 - j**3 wrt j? 60*c**2 + 672*c*j + 3834*c - 6 What is the second derivative of 713290298*t**4 + 462957066*t wrt t? 8559483576*t**2 Find the first derivative of 34076*l**3*u + 4*l*u**2 - 64*l*u - 8905244*u**2 wrt l. 102228*l**2*u + 4*u**2 - 64*u Find the second derivative of -604817*r**3 - 7*r**2 + 71138886*r. -3628902*r - 14 Differentiate 10740*d**3*i**3 - 84659053*d**3 - 364*i**3 with respect to i. 32220*d**3*i**2 - 1092*i**2 Find the second derivative of -2055956*z**5 - z**3 - 7672911*z wrt z. -41119120*z**3 - 6*z Differentiate -445*d*i**4 + 12147*d*u - 191016*i*u**2 + 135*u**2 + 5*u with respect to i. -1780*d*i**3 - 191016*u**2 Differentiate -9*d*q**3 - 45028*d*q + 389*d + 9*q**3 - 62106 wrt q. -27*d*q**2 - 45028*d + 27*q**2 What is the third derivative of -1644*b**5 + 26622*b**3 - 103256877*b**2? -98640*b**2 + 159732 Differentiate -36448781*i**2*o - 24493985*i**2 with respect to o. -36448781*i**2 What is the derivative of 63*c**3*s**2 - 349331*c**3 + 682429*s**2 wrt c? 189*c**2*s**2 - 1047993*c**2 What is the second derivative of 47845*b**2*i*l**3 + 177*b**2*i*l + b*i*l**2 - 194*b*i + 22*b*l**2 + 19*i*l**3 + i*l + l**3 - 4*l wrt b? 95690*i*l**3 + 354*i*l Find the third derivative of -24903038*z**5 + 7798845*z**2. -1494182280*z**2 What is the derivative of -773509*j**2 + 11*j + 202971911? -1547018*j + 11 What is the derivative of -166449151*n - 490571728 wrt n? -166449151 Find the second derivative of 35520960*g**2 + 26198307*g. 71041920 Differentiate 34005*l**2*z - 862*l*z + 248644*z - 8 wrt l. 68010*l*z - 862*z What is the second derivative of 18851946*s**3 + 322*s + 3434 wrt s? 113111676*s What is the second derivative of 319283*o**3 + 9*o**2 + 2*o + 2808684? 1915698*o + 18 Differentiate -244*m**3*p*t - 1297*m**3*p - 2955*m**3 + 2*m**2 + 55*t with respect to p. -244*m**3*t - 1297*m**3 Differentiate 3881*i**3*t*y + 579*i**3 + i**2*t**2 + 40*i**2*t - 5*i**2 + 2*i*t**2 - i*t - 9189*t**2*y with respect to y. 3881*i**3*t - 9189*t**2 Find the second derivative of 48*h**4 - 70404*h**3 + 8*h**2 - 113027*h + 11 wrt h. 576*h**2 - 422424*h + 16 What is the third derivative of 1010*y**5 + y**4 - 190124*y**3 + 579825936*y**2 wrt y? 60600*y**2 + 24*y - 1140744 What is the derivative of -6273209*f - 440049 wrt f? -6273209 What is the derivative of -23607588*y**3 - 17342937 wrt y? -70822764*y**2 Find the second derivative of 1883879*o**2*p**3 - 305*o**2*p + 650*o**2 - 2*o*p - 4*o - 1 wrt p. 11303274*o**2*p What is the third derivative of -31455128*k**6 + 2*k**5 - 2*k**2 + 10548147*k + 2? -3774615360*k**3 + 120*k**2 What is the second derivative of 168*b**2*r**2 + 360335*b**2 + 842*b*r**2 + 14*b + 3*r**2 + r wrt r? 336*b**2 + 1684*b + 6 Find the third derivative of -27207757*f**3 - 5*f**2 + 4827288*f - 1. -163246542 What is the third derivative of 221049134*k**4 + 4441044*k**2 + k + 2 wrt k? 5305179216*k What is the third derivative of -315089593*c*x**3 + 5*c*x**2 + 21*c*x - 57*x**2 - 475 wrt x? -1890537558*c What is the third derivative of -52029351*f**3 - 63763676*f**2? -312176106 Find the first derivative of 10139990*j**2 - 357110 wrt j. 20279980*j What is the third derivative of -13707883*u**3 + 368917*u**2 - 8? -82247298 Find the third derivative of -455676073*h**3 + 546968054*h**2 wrt h. -2734056438 Find the third derivative of 21542*l**5 - 36*l**3*m*v - 2*l**3*m + l**2*m*v - 3*l**2*m - 3*l*m*v - 7*l*m + l*v - 1798 wrt l. 1292520*l**2 - 216*m*v - 12*m Find the third derivative of 5*s**3*w**4 - 124208*s**3*w - 889241*s*w**5 + 14*w**2 wrt w. 120*s**3*w - 53354460*s*w**2 What is the third derivative of -16117027*y**6 - 31*y**2 - 5219 wrt y? -1934043240*y**3 Find the second derivative of -76494105*g**3 + 4274*g + 1443 wrt g. -458964630*g What is the second derivative of 865038210*l**2*o**2 - 125*l*o**2 + 2242447*o**2 wrt l? 1730076420*o**2 What is the second derivative of 64553517*x**2 + 3045*x + 15526 wrt x? 129107034 Differentiate 800079*d**2 - 4567513 wrt d. 1600158*d What is the second derivative of 7470537*g**2*o**3*p - 977287*g*o**3 - g*o**2*p wrt g? 14941074*o**3*p Find the third derivative of 883366017*m**2*y**3 + 169130*m**2*y**2 + 236*y**2 wrt y. 5300196102*m**2 Find the second derivative of -11306*b**3*k**2 - b**3*k*r**3 + 2277*b**2*k*r**3 - 4*b**2*r**3 + 508*k**2*r**3 - 32*k wrt k. -22612*b**3 + 1016*r**3 What is the third derivative of -3*a**3*j*s - 24194782*a**3*s**2 + 866*a**2*j*s**2 + 316*a**2*s**2 + j*s wrt a? -18*j*s - 145168692*s**2 What is the third derivative of -280274*l**5 + 2*l**4 + 46*l**3 - 175059757*l**2 wrt l? -16816440*l**2 + 48*l + 276 What is the first derivative of 57338441*b**2*u**2 - 77169551*u**2 wrt b? 114676882*b*u**2 Find the second derivative of 97859969*d*w**3 + 5*d*w**2 - 19*d*w - 6543723*w wrt w. 587159814*d*w + 10*d Find the second derivative of 450242882*z**5 - 186*z + 633783. 9004857640*z**3 What is the third derivative of -328226098*b**3*i**3 - 18*b**2*i**3 + 3*b*i**2 - 43113*i**3 + 6*i**2 wrt b? -1969356588*i**3 What is the second derivative of -126*h**5 + 4924*h**3 - 2*h**2 + 3*h + 8224051? -2520*h**3 + 29544*h - 4 Find the second derivative of 107*i*s**5*x + 18*i*x**2 + 7*i + 8859*s**2*x**2 - 57*s*x**2 - 3*s*x wrt s. 2140*i*s**3*x + 17718*x**2 What is the third derivative of 15016567*f**3*m**2 - f**2*m + f*m - 76*f - 14052*m**2 wrt f? 90099402*m**2 Find the second derivative of 150926*d**2*k*t**3 - 42*d**2*k*t**2 + d*k*t**3 + 455*d*k*t**2 + 2*d*k*t - 388*d*k wrt d. 301852*k*t**3 - 84*k*t**2 Differentiate 25745703*b**4 + 33038338. 102982812*b**3 What is the third derivative of 43407955*g**5 + 2*g**3 - 68596599*g**2 wrt g? 2604477300*g**2 + 12 What is the second derivative of -301476587*s**3 + 351481038*s wrt s? -1808859522*s What is the derivative of -37901864*i**3 - 1801153 wrt i? -113705592*i**2 Find the third derivative of -35*f**5 + 1251147*f**4 - 8*f**2 + 2526181*f wrt f. -2100*f**2 + 30027528*f What is the second derivative of 3528828*f**3 + f + 3369813? 21172968*f Find the third derivative of -30598588*u**3 + 2*u**2 - 667*u + 2223. -183591528 What is the third derivative of 994757*w**5 + 74*w**4 - 116937040*w**2? 59685420*w**2 + 1776*w Find the first derivative of 14389284*f**2 - 12941840. 28778568*f What is the first derivative of -466868*g**3*v - 4690480*g**3 - 14*g**2*v - g**2 - 2*g*v wrt v? -466868*g**3 - 14*g**2 - 2*g Find the second derivative of 21397*j**4 + 1463*j**3 + 276744618*j. 256764*j**2 + 8778*j What is the second derivative of 13*c*j**3*y + 54*c*j**2*y + 45*c*j*y - 123*c*y + 1281*j**2*y + 464*j*y wrt j? 78*c*j*y + 108*c*y + 2562*y Differentiate -38*l**3 + 44578*l - 9169229 with respect to l. -114*l**2 + 44578 What is the second derivative of 58392*v*y**2 + 2*v*y + 17*y**2 - 583*y - 3716 wrt y? 116784*v + 34 Find the third derivative of -3*g**5 - 6310693*g**4 + g**3 - 185*g**2 + 16357. -180*g**2 - 151456632*g + 6 What is the first derivative of 2*s**4 - 2*s**3 + 33206948*s + 7674742 wrt s? 8*s**3 - 6*s**2 + 33206948 What is the first derivative of -72475293*r*s**3 + 7*s**3 - 13*s**2 + 5*s - 15 wrt r? -72475293*s**3 Find the second derivative of 13230*v**4 + 183*v**2 + 118745179*v. 158760*v**2 + 36
{ "pile_set_name": "DM Mathematics" }
s the smallest value? (a) g (b) -1 (c) -64 c Let z = -0.327 + -0.143. Let i = -0.53 + z. What is the biggest value in 7, 1/6, i, -0.5? 7 Let m = 10 - 46. Let z = m - -34. What is the second smallest value in 1, -0.6, z? -0.6 Let l = -9.634 + -0.366. Which is the second biggest value? (a) l (b) -0.1 (c) 0.4 b Let n be (1/5 + 0)/((-56)/420). Which is the second biggest value? (a) 129 (b) n (c) 1 c Let h = -1.5731 + 1.7731. Let j be (2 - 2)/((-1)/1). Let s = -0.35 + -0.05. What is the third smallest value in j, s, h? h Let h = -270 + 278. Which is the fourth smallest value? (a) -5 (b) h (c) -1/7 (d) -0.1 b Let s = -689 + 475. Let i = s - -211. Let z = -15 - -15.07. What is the second smallest value in z, -0.3, i? -0.3 Let u = 0.0793 + 0.9207. Which is the fourth biggest value? (a) u (b) 2/5 (c) 0.5 (d) -2/11 d Let g = 24.17 - 26. Let v = g + -0.17. Which is the second biggest value? (a) v (b) 0 (c) 3 (d) 1 d Let q = -259.557 - -0.557. Let w = 254.94 + q. Let s = -0.06 - w. Which is the second biggest value? (a) s (b) 0.3 (c) -3 b Suppose 39*w = 17*w + 264. What is the biggest value in w, 5, -0.2? w Let j = -4/113 - 440/339. Suppose -3*f + 2*s = 18, 18 = 12*f - 9*f + 4*s. Which is the third biggest value? (a) j (b) f (c) -3 c Let g = 0.0546 - -0.2454. What is the third biggest value in g, -15, -1? -15 Let q = 11 - 11.13. Let k = 6.87 - q. Let x = k + -3. Which is the third smallest value? (a) x (b) -6 (c) 1 a Let y = 106/51 + -7/17. What is the fourth biggest value in y, -1/3, 9, -5? -5 Let v be (-30)/15 + 5 + -2. Let h = -6.6 - -7. Which is the third smallest value? (a) 0.02 (b) v (c) h (d) 4 b Let t = 0.2 - -6.8. Let w = t + -7.1. Let h be (3*3/36)/2. Which is the biggest value? (a) 2/25 (b) w (c) h c Let k be -1 + 3 - (2 + -2). Let m = k + 1. Let l = 2.4 + -2. Which is the smallest value? (a) -2 (b) m (c) l a Let l = -1.2 - 2.8. Suppose 2*d + 3*d - 10 = 0. Let x = 84 + -84. What is the second smallest value in x, l, d? x Let d = -120 - -186. Suppose -2*l - d = -8. What is the third smallest value in -1, 5, l? 5 Let j = 435 - 432. What is the second smallest value in j, 5, 2, -2.1? 2 Let z = 4.4 - 4.34. Which is the fourth smallest value? (a) z (b) -0.36 (c) 0.2 (d) -2 c Let o = 85 - 85.4. Let z = o + -0.1. What is the biggest value in 3, z, 5, -5? 5 Let z be (3/3)/((-2)/(-10)). Suppose -m = 5*q, -2*q - 52 = z*m - 3*q. Let l be (1*(-2)/m)/1. Which is the third biggest value? (a) -1/3 (b) l (c) 4 a Let f = 179.1 - 167. Let d = f + -11.8. What is the second biggest value in 1, 4, d, 2/11? 1 Let d = -23 + 40. Let m = d + -5.2. Let x = 12 - m. Which is the third smallest value? (a) -4 (b) x (c) -3 b Let p = -1158 + 4623/4. What is the second smallest value in 8, -3/7, p? -3/7 Let v = 169 + -1523/9. Let h be -3*(4/18 + (-224)/792). What is the third smallest value in 4, v, h? 4 Let t = 100/371 + -192307/1855. Let o = t - -103. Let x = -9 - -8.93. Which is the second biggest value? (a) 2 (b) x (c) o b Let g = -3 + 2.9. Let d be -5 + 19/((-190)/(-80)). What is the third biggest value in d, 0.6, g? g Let n = 14.3 - 12.3. Let g = -2.07 + 0.07. Which is the second biggest value? (a) n (b) 3 (c) -2/7 (d) g a Let v = -96 + 92.15. Let o = 0.15 - v. What is the smallest value in 3, o, -0.2? -0.2 Suppose 19*s + 31*s - 50 = 0. Which is the biggest value? (a) -2/9 (b) 0.05 (c) s (d) -1/2 c Let o be (13/(130/(-12)))/(1/(-5)). Let c be 7/(-7)*4/o - -2. What is the third smallest value in -2/9, c, -1, -1/9? -1/9 Suppose 4*z = 7*z - 6. Suppose 3*p - 4*p - 2*h + 8 = 0, 4*p = h + 23. Let o = 11 - p. What is the third smallest value in 0.1, o, z? o Let o be 45/(-55) - (1 - 2). Suppose -3*x - 2*t + 12 = 0, 15*x - 1 = 10*x + 3*t. Let r = -0.5 - -1. Which is the third biggest value? (a) x (b) o (c) r b Let p = -5.7 + 6. Let b = 25311/203 + -874/7. Let v = 59/174 + b. What is the second biggest value in -1, v, p? v Let k be 38/8 - 0 - (-123 - -127). Let w = 3.8 - 4. Which is the smallest value? (a) 0.4 (b) k (c) w (d) -2/3 d Let o = 3.7025 - -0.2975. Let g be (-6)/(-3) - (-16)/(-7). Which is the second biggest value? (a) o (b) g (c) 2/13 (d) -0.3 c Let z = 50 + -125. Let m = 74.7 + z. Which is the second smallest value? (a) -3/7 (b) m (c) -3 (d) 0.08 a Suppose 4*o = 4*m - 0*o + 28, -3*o + 37 = -5*m. Let x be 1/(-4*10/m). Let w = 0.06 + 0.34. Which is the second smallest value? (a) -2/7 (b) w (c) x c Let n = 0 + 0. Let f = -102 + 102.2. What is the second biggest value in f, 4, n? f Let y = 4.95 - -0.45. Let s = y - 8.4. What is the biggest value in s, 0.1, -0.03? 0.1 Let l be 15309/135 - (-1 + -2). Let j = -116 + l. What is the second smallest value in -2/13, j, 5? j Let a = -15/52 - -20/13. What is the second biggest value in a, -3/5, 4/13? 4/13 Let z(d) = d**3 + 3*d**2 - d - 4. Let t be z(-3). Let c be 1 + t/((-3)/21). Let b(m) = -m + 3. Let g be b(c). What is the second biggest value in g, 3, 0.2? 0.2 Let f = -0.05 + -0.09. Let l = 0.01 - f. Let m = l - -3.85. What is the second smallest value in m, -2/3, -1/3? -1/3 Let l = -0.613 + 0.313. What is the fourth biggest value in -14, 3/4, 2/3, l? -14 Let o = -1657 + 1657.2. What is the smallest value in -3/4, -156, o? -156 Let m = 0.2 - -0.1. Let b(g) = g**3 - 5*g**2 - 7*g + 6. Let x be b(6). Let i = -5794 - -5794.5. What is the smallest value in x, i, m? x Let t(s) = -3*s**2 - 25*s - 33. Let j be t(-7). Which is the biggest value? (a) j (b) 4/43 (c) -2/15 b Let o(r) = -r + 6. Let s be o(11). Let y = -0.07 - 0.23. What is the biggest value in -0.1, y, s? -0.1 Let i = 17 - 5. Let k = 15 - i. Let s = k + -1. Which is the second biggest value? (a) 0.3 (b) s (c) 0.5 c Let n = 99 - 73. What is the second biggest value in 1, 0.5, n? 1 Let n = 0.4658 - 0.0058. What is the smallest value in n, 0, 5, 4? 0 Suppose -5*q + 0 = -25, 0 = -j - 3*q - 360. Which is the second smallest value? (a) j (b) 0.3 (c) -4 c Suppose 3*g - 17 = 4*v, 6*g + 23 = 3*g - 4*v. Let c be (-23)/21 - 18/(-27). What is the third smallest value in 4, g, c? 4 Let z = 0.204 - 0.504. What is the biggest value in z, -5, -2, 0? 0 Suppose 0 = -18*v + 11*v - 28. What is the second smallest value in 0.8, v, 0.3, 0.2? 0.2 Let y = -12 + 7. Let h = -2.5 - 1. Let i = h + 3. What is the smallest value in -1, i, y? y Let f be 11 - (-1)/4*-4. Let r be (-14 - 1) + f + -13. Let c be (9/(-27))/(16/r). What is the second biggest value in -2, c, 2? c Let y = -5 + 13. Let r be y/(-21) + 6/(-21). Let m = 0.916 + -1.216. Which is the second smallest value? (a) r (b) -3 (c) m a Suppose -2*n - 3*g + 12 = 0, -54*g = -5*n - 52*g + 11. What is the fourth smallest value in n, 0, -20, -4? n Let n be (-4)/(-2)*(-10)/(-4). Let o = -6 - -3. Let k = -7 - -5. Which is the third smallest value? (a) n (b) o (c) k a Let m = 1.5 + 0.5. Let s = 3102 + -12339/4. Let i = 215/12 - s. Which is the third biggest value? (a) m (b) -3 (c) i b Let y be 342/27*(-1)/(-14). Let j = 10/21 - y. Which is the fourth biggest value? (a) 4/5 (b) 0 (c) j (d) 0.4 c Suppose -3*d = -8 + 20. Let a be 5*((-470)/(-125) + d). What is the second smallest value in 2/11, 8, a? 2/11 Let p = -17 + -1. Let l = p - -23. Suppose 0 = 3*s - 3 + 9. Which is the third smallest value? (a) s (b) l (c) 2/3 b Let p = 9.8 - -46.2. Let t = -56.05 + p. Which is the second smallest value? (a) -0.5 (b) t (c) 3 b Let s = 9/287 + 457/3731. Let i = 2.93 + 0.07. Which is the third smallest value? (a) 0 (b) 4 (c) s (d) i d Suppose 0 = 4*g - 15 - 5, 2*w - 2*g = -6. Let v be (-138)/(-320) + (-2)/5. Let z = 35/96 - v. Which is the third smallest value? (a) z (b) -4 (c) w c Let n = -4.18 + 0.18. Let g = -6.94 - 0.06. Let a = g + 6.9. What is the second biggest value in -2/7, a, n? -2/7 Let l = 1.3 - -3.7. Let h be 7/(-14) + 91/130. What is the second biggest value in 2/27, l, h, 1? 1 Let f be 18/84*(-790)/(-402). Let g = f + 1/134. What is the smallest value in 0, -2, g? -2 Let h = -4 - -24. Suppose -3*k - h = k. What is the smallest value in 0.3, k, 0.06? k Suppose -4*p - 12 = 0, -37 = -z - 4*z + 4*p. Let j be 4 + (-8)/(-14) + 2415/(-539). Which is the smallest value? (a) j (b) -1 (c) z b Let x = 48.464 - 48. Let o = x - 0.064. What is th
{ "pile_set_name": "DM Mathematics" }
x(p(l)). 1062*l**4 - 104 Let x(k) = 146*k + 1. Let s(q) = 17*q**2 - 5*q - 10. Let v(l) = 24*l**2 - 7*l - 14. Let f(h) = -7*s(h) + 5*v(h). What is x(f(d))? 146*d**2 + 1 Let d(z) = -2*z**2. Let v(y) = 27941*y. What is d(v(l))? -1561398962*l**2 Let u(w) = 430*w**2. Let s(d) = -d**2 + d + 3. Let g(h) = h + 3. Let m(o) = g(o) - s(o). Determine m(u(k)). 184900*k**4 Suppose 0 = v - 0*v - 2. Let i(p) = -p - v*p - p. Let z(y) be the third derivative of y**5/60 + 1229*y**2. Calculate i(z(n)). -4*n**2 Let i(a) = -a**2 - a. Let q(w) = -3*w**2 - 2*w. Let b(j) = -2*i(j) + q(j). Let k(d) be the third derivative of 41*d**4/24 + 350*d**2 + d. What is b(k(c))? -1681*c**2 Let b(x) = 7*x**2. Let j = -126 - -129. Let o(c) = 19*c - 6*c + j*c**2 - 13*c. Calculate b(o(w)). 63*w**4 Let b(a) = 206*a. Let s(t) = -47*t + 2. Give s(b(y)). -9682*y + 2 Let r(m) = -5*m + 2*m + 0*m. Let y(d) = -d**2 + 4. Let q(g) = g**2 + 1. Let j(w) = 4*q(w) - y(w). Give r(j(z)). -15*z**2 Let w(b) = b. Let l(v) = -2*v. Let a(s) = l(s) + 4*w(s). Suppose 5*y - 10 = -3*n, n + n + 3*y = 6. Let g(j) = j - j - j + n. Give a(g(d)). -2*d Let o(c) = -2*c**2 + 2*c - 2. Let w(n) = n**2 + n - 1. Let j(t) = o(t) - 2*w(t). Let a(h) = -14*h. Let f(r) = -14*r. Let u(x) = -6*a(x) + 5*f(x). Give j(u(d)). -784*d**2 Let q(o) be the first derivative of 169*o**2/2 + 3*o - 81. Let r(s) = -2*s**2. Determine q(r(m)). -338*m**2 + 3 Let k(q) = -q**2. Let o(s) be the third derivative of s**4/24 + 2*s**2 + 9. Calculate o(k(h)). -h**2 Let r(j) = -51*j + 2. Let o(i) = -41*i + 38. Give r(o(w)). 2091*w - 1936 Let j(a) = -4*a**2 - 3*a + 3. Let t(b) = b**2 - b + 1. Let v(k) = 2*k**2. Let q(l) = -t(l) + v(l). Let r(g) = -j(g) - 3*q(g). Let m(f) = -18*f. Give m(r(c)). -18*c**2 Let t(b) be the first derivative of -11 + 0*b + 1/2*b**2. Let p(w) = 20*w. What is t(p(c))? 20*c Let s(n) = 2*n - 8. Let w(g) = -2037*g. Give w(s(h)). -4074*h + 16296 Let f(u) = -6*u. Suppose 241 = 3*o + v, 3*v = -2*o - v + 154. Let w(t) = 165*t**2 - 78*t**2 - o*t**2. Give w(f(g)). 216*g**2 Let y(j) be the first derivative of 11*j**2 - 2. Let z(i) be the third derivative of -i**5/30 - 6*i**2 - 23*i. What is y(z(v))? -44*v**2 Let b be 30*(0 - 4/(-6)). Let u be (8/(-20))/((-2)/b). Let x(h) = 5*h - 6*h + u*h. Let l(z) = -6*z. Give x(l(d)). -18*d Let j(h) = -647135*h. Let i(w) = -w. Give j(i(d)). 647135*d Let w(l) = l**2 + 22. Let x(g) = -22*g - 4. Determine w(x(k)). 484*k**2 + 176*k + 38 Let c(b) be the third derivative of -b**5/30 + 2*b**2. Suppose 4*r = 0, -3*r - 8 + 26 = 3*m. Let w(h) = 2*h + 0*h - m*h + 2*h. What is w(c(s))? 4*s**2 Let r(g) = -1446*g + 238. Let i(b) = 6*b. Calculate r(i(d)). -8676*d + 238 Let i(v) = -377*v**2 + v - 15. Let f(b) = 2*b. Give i(f(k)). -1508*k**2 + 2*k - 15 Let l(m) = 2*m. Let u(f) = -68373*f - 3. Calculate l(u(z)). -136746*z - 6 Let r(g) = -g. Let l(o) be the first derivative of -o**2/2 - 230*o + 144. What is l(r(j))? j - 230 Let g(b) = 529*b**2. Let j(d) = d**2 - 10*d + 10*d + 0*d. Give j(g(l)). 279841*l**4 Let t(x) = -2*x**2 - 3. Let z(n) = 1135*n**2. Determine t(z(w)). -2576450*w**4 - 3 Let i(b) = 3*b + 56. Let j(k) = -27*k - 36. What is j(i(p))? -81*p - 1548 Let x(v) = -v + 1. Let p(s) = -2 + 7*s + 3*s - 4 + 2. Let a(w) = 2*p(w) + 10*x(w). Let n(u) = -u. What is n(a(q))? -10*q - 2 Let s = -481 - -1444/3. Let w(h) be the second derivative of 0*h**2 + 0 - 11*h + s*h**3. Let g(l) = 19*l. Calculate w(g(b)). 38*b Let j(b) = -6*b**2 - 4*b - 4. Let r(l) = -17*l**2 - 11*l - 11. Let q(s) = 11*j(s) - 4*r(s). Let c(z) = 9*z + 4*z**2 - 9*z. Give q(c(w)). 32*w**4 Let p(a) = -2*a. Let g(i) = -45*i. Let k(o) = g(o) - 15*p(o). Let v(m) = -4*m. What is v(k(t))? 60*t Let a(y) = -3*y. Suppose -10*o + o + 18 = 0. Let j(q) = 42*q**o + 0 + 0 - 47*q**2. Calculate a(j(b)). 15*b**2 Let z(s) = 48*s. Let x(u) = 166*u. Determine x(z(y)). 7968*y Let z(o) = -2*o. Let m be (-30)/255 + 1 + (-53)/(-17). Let i(y) be the third derivative of -4*y**2 + 0*y + 1/24*y**m + 0 + 0*y**3. Give i(z(a)). -2*a Let u(o) = -82*o**2. Let n(l) = 79*l - 10. Determine n(u(q)). -6478*q**2 - 10 Let v(g) = 6*g. Let m(u) = 18233*u. Give v(m(r)). 109398*r Let m(v) = v + 221. Let p(d) = -102. Let i(b) = 6*m(b) + 13*p(b). Let t(c) be the first derivative of 5*c**3 - 4*c**3 + 0*c**3 + 2. Determine i(t(z)). 18*z**2 Let n(y) = -6*y**2. Let p(h) = -h + h + 8 + 2*h - 15. Let o(l) = l - 3. Let z(g) = -7*o(g) + 3*p(g). Determine z(n(q)). 6*q**2 Let q(s) = -42*s**2 + 10*s**2 + 14*s**2 + 14*s**2. Let z(a) = 26*a**2. Determine z(q(l)). 416*l**4 Let j(a) = 7*a. Let v(p) = -104*p**2 - 877. Determine j(v(y)). -728*y**2 - 6139 Let c(i) = 21 + 4 - 29*i**2 - 25. Let z(m) = 6*m. Give z(c(a)). -174*a**2 Let y(a) be the first derivative of -2*a**3/3 + 17. Let o(p) be the third derivative of 2*p**2 + 0*p**3 + 0*p + 2/15*p**5 + 0*p**4 + 0. What is o(y(x))? 32*x**4 Let o(n) = -5*n. Suppose 2*z + 2*z = -3*u + 24, -16 = -2*u + 3*z. Let c(m) = -19*m + u*m + 12*m. Determine o(c(k)). -5*k Let s(c) be the second derivative of -7*c**4/2 - 5*c. Let b(r) = -3*r - 4. Let l(o) = o + 1. Let m(y) = -b(y) - 4*l(y). What is m(s(a))? 42*a**2 Let u(o) = 78*o**2 - 43*o + 9. Let k(i) = -9*i. Give k(u(f)). -702*f**2 + 387*f - 81 Let c(x) = 2*x - 8. Let z(d) = 4*d - 20. Let f(q) = 10*c(q) - 4*z(q). Let v(g) = -24*g. Give v(f(m)). -96*m Let s(z) = 5 - 5 - 4*z. Let b(o) = o**2 - o - 39. Let k be b(-8). Let r(f) = k - 33 + 3*f - 2*f. What is s(r(t))? -4*t Let z(c) be the first derivative of 2*c**3 - 319. Let w(u) = -3*u**2 + 3. Calculate z(w(y)). 54*y**4 - 108*y**2 + 54 Let n(m) = 7*m. Let g(i) be the first derivative of 0*i + 0*i + 70 + i**2 - 52. Give g(n(d)). 14*d Let c(x) = 41*x**2. Let t(m) = -147*m - 3. Calculate t(c(j)). -6027*j**2 - 3 Let k(f) = 10*f + 0 + 0. Let s(c) be the first derivative of c**6/360 - 3*c**3 + 7. Let y(h) be the third derivative of s(h). Calculate y(k(o)). 100*o**2 Let g(c) be the third derivative of 0 + 7/12*c**4 + 0*c**3 + 26*c**2 + 0*c. Let j(t) = -2*t**2. What is g(j(k))? -28*k**2 Let d(y) = 94*y**2. Let r(o) = -13*o**2 - 8*o. What is r(d(w))? -114868*w**4 - 752*w**2 Let r(y) = 38 - 42 + 2*y + 4 + 0. Let z(j) = -18*j - 3. Let b(h) = 17*h + 4. Let i(v) = 3*b(v) + 4*z(v). What is i(r(m))? -42*m Let c(s) = -158*s + 2. Let g(f) = -f + 11. What is c(g(n))? 158*n - 1736 Let s(k) = 2*k + 39. Let b(x) be the third derivative of -3*x**5/20 - 116*x**2. Calculate s(b(w)). -18*w**2 + 39 Let d(n) = 2*n. Let p(y) = -2*y - y - 3 + 23*y + 18*y. Calculate d(p(u)). 76*u - 6 Let y(g) = -4 - 1 - 1 + 5*g. Let p(m) = -6*m + 7. Let k(u) = 6*p(u) + 7*y(u). Let b(n) be the second derivative of -7*n**4/12 + 36*n. Determine k(b(q)). 7*q**2 Let f(h) be the second derivative of -h**4/6 + h**2/2 - 22*h. Let a(z) be the first derivative of f(z). Let w(d) = -3 - 2 - d + 5. Determine w(a(m)). 4*m Let q(i) = i. Let m(g) = 2*g - 11. Let w(h) = -2*m(h) + 6*q(h). Let f(s) be the third derivative of -s**4/24 + 150*s**2 - 1. Give w(f(u)). -2*u + 22 Let g(w) = 26*w + 17. Let q(r) = -241*r. Give g(q(z)). -6266*z + 17 Let f(h) = 9*h + 9935 - 4*h - 9935. Let l(o) = -29*o**2. Calculate f(l(p)). -145*p**2 Let k(d) = 2*d + 0*d - 3*d. Let t(s) = 12*s - 16. Let v(z) = 5*z + 17 - 22 - z. Let h(f) = 5*t(f) - 16*v(f). What is k(h(m))? 4*m Let o(i) = 5*i - 3. Let u(d) = -35*d + 20. Let z(s) = -20*o(s) - 3*u(s). Let q(w) = w. Let h(y) = 4*q(y) - z(y). Let j(f) = -6*f**2. What is j(h(c))? -6*c**2 Let o(g) = 49*g. Suppose 10*h - 11*h - 3 = 0. Let n(w) = -99*w. Let v(c) = h*n(c) - 7*o(c). Let j(m) = -2*m**2. Give j(v(p)). -4232*p**2 Let b(s) be the first derivative of 5 + 3/2*s**2 + 0*s. Let r(d) = -2*d + 0*d**2 + 2*d + 3*d**2. Calculate r(b(w)). 27*w**2 Let l(a) = -a. Suppose -4*r + 4 = -20. Suppose 4*h = 2 + r. Let y(b) = 4*b**2 - 13*b**2 - h*b**2. Determine y(l(x)). -11*x**2 Let s(b) = b. Let w(k) be the first derivative of -33*k**2 - 5*k + 680. Determine w(s(u)). -66*u - 5 Let g(n) be the second derivative of 7*n**3/6 - n. Let j(s) = -5130355 + 3*s + 5130355. Determine j(g(f)). 21*f Let k(u) be the third derivative of 11/8*u**4 + 0 + 0*u - 8*u**2 + 0*u**3. Let q(z) = -2*z**2. Calculate q(k(m)). -2178*m**2 Let h(t) = 20*t**2. Let y(l) be the third derivative of -l**4/24 + 409*l**2. Determine y(h(f)). -20*f**2 Let f(k) = k**2. Let s(c) be
{ "pile_set_name": "DM Mathematics" }
e 4/14 + 60/35. Suppose -j - 48 = -5*t, 2*j + y*j + 12 = 2*t. Is (262/4)/(5/t) a prime number? True Is ((-3)/(-2)*2)/(1986/13288988) a composite number? True Let b = 6228 + -371. Suppose -4*i + 9421 = -5*o, 0*i + 5*i - 11804 = -3*o. Suppose 6*n = -i + b. Is n a prime number? False Suppose 15*k - 20*k = 3335. Let c = -326 - k. Is c a prime number? False Let j(p) = 87*p + 11. Suppose 0 = q + 5*q - 36. Is j(q) prime? False Let x be (-5 - 0)/((-1)/2). Suppose d + x = -4*d. Is -19*d/4*2 a prime number? True Is (778/6)/(-1*11/(-33)) prime? True Suppose -4*k - 72 = -5*r + 107, -3*r = 15. Is (-10437)/(-4) - (-4 + k/(-12)) a prime number? True Let q be (-20277)/(-15) - (-5)/25. Suppose 0 = -2*g - 5*w + 2725, -3*g - w - q = -4*g. Is g prime? False Let h(f) = -f + 5. Let v be h(0). Suppose v*g - 21 = -4*y - 3, 0 = -5*y - g + 12. Suppose -2*b - y*b = -1916. Is b a composite number? False Suppose -2*j + 22847 + 28827 = 0. Is j a composite number? True Let h = 51442 - -38851. Is h a composite number? True Is (-5)/4 - 1215279/(-156) a composite number? False Let b(l) = 15*l + 15*l + 10*l**3 + 15 - 10*l - 11*l**3 - 13*l**2. Is b(-19) a composite number? False Let r = -10088 - -14985. Is r a prime number? False Suppose 64 = 4*n + 3*f, -4*n + 3*f + 40 = -0*n. Let c = 17 - n. Suppose c*l - 3*q - 321 = 154, -q = -5*l + 602. Is l composite? True Let k(p) = 82*p**2 + 5*p - 25. Is k(-14) a composite number? True Suppose 17*o + 6893 = 33804. Is o a prime number? True Suppose 5*d - 90 = -5*l, 20 = 4*l + 2*d - 54. Is l prime? True Let g = -16 + 37. Suppose -3*f + 1056 - g = 0. Suppose -5*z + 5*s + f = 0, 4*s - 5*s + 266 = 4*z. Is z composite? False Let o(v) = v**3 + 16*v**2 + 21*v - 1. Let u = 106 - 118. Is o(u) a prime number? False Let n(i) = 286*i**2 - 6*i + 5. Let k be n(4). Let s = -2650 + k. Is s composite? False Let o(f) = 147*f + 2. Let h be (27 - -1)/(8/8). Suppose -6 + h = 4*n - 2*u, u + 8 = n. Is o(n) a prime number? True Let p = 161 + -95. Suppose p = 9*i - 7*i. Suppose i = 2*h - 77. Is h prime? False Let u be (-5003)/11 - (-6)/(-33). Let q = u - -666. Is q a composite number? False Let r = -80 + 80. Suppose h = -r*h + 303. Is h prime? False Let v(s) = 2*s - 4. Let m be v(4). Let y(p) = 9*p - m + 9 - 8. Is y(10) composite? True Let d be (-8)/(-2) + -2 + 0. Suppose d*w - f = 3*f + 20, -2*f = -2. Suppose -w = -2*b + 10. Is b a prime number? True Let m = 7761 + -4832. Suppose -6*p - m - 1355 = 0. Let g = -503 - p. Is g composite? False Let f be 6/(-33) + 4/22. Suppose -p - 3*a = a + 4, a + 1 = f. Is (p + -1)/(2/(-166)) a prime number? True Suppose 166350 = 15*i + 41055. Is i a composite number? False Let o be 3/(18/31092) + 5. Let y be ((-9)/(-6))/(2/12). Is o/6 - y/6 a prime number? True Suppose -2*d = 5 - 13. Suppose -d*r - 4*x = -1484, -5*r - 2*x + 1875 = -7*x. Is r a prime number? True Let o(j) = 7280*j - 187. Is o(10) a prime number? True Let y(d) = -6670*d - 937. Is y(-12) a composite number? False Is -2 - 16/(-9) - (-8872657)/639 a composite number? True Let q(z) = z**3 - 13*z - 3. Let k be q(4). Let a(s) = 51*s - 16. Is a(k) a composite number? False Suppose 2499942 - 8848716 = -114*v. Is v prime? True Suppose 13578 = 16*n - 60070. Is n a prime number? True Let n = 15705 + -400. Is n a prime number? False Let x(i) = -i**3 + 21*i**2 - 5*i - 2. Is x(17) composite? False Let i(u) = u**2 - 15*u + 2. Let n be i(15). Suppose -30 = -5*b + 5*q, -3*q - q = n*b - 36. Let j(h) = h**3 + 3*h**2 + 6*h + 1. Is j(b) a composite number? False Let z = 15754 - 2217. Is z prime? True Let d(l) = -10461*l + 404. Is d(-21) a prime number? False Let g = 3 - 1. Suppose -3*x + 15 = 0, -4*d + 1066 = -0*x + g*x. Suppose 53 = s - d. Is s a composite number? False Let f = 25 - 12. Suppose 0 = -4*v + f + 7. Suppose 882 = 6*u - 2*u + v*k, -1123 = -5*u + 4*k. Is u a composite number? False Let d = -574 - -315. Let m = 594 + d. Is m prime? False Suppose 5*h - 7149 + 23399 = 3*y, 2*y - 10808 = -3*h. Suppose -10*l + 8*l = -y. Is l prime? False Let p be 2/5 - (-355642)/70. Suppose 1836 = 2*a - 2*v, 5*a - p = 3*v - 493. Is a composite? True Let d(y) = 4*y**2 + y. Let x be d(1). Let z(m) = -23 - 74*m + 22*m + x. Is z(-8) a prime number? False Let z(u) = -34*u - 1. Let j = 2 + 10. Suppose -3*o = 27 - j. Is z(o) a prime number? False Let r(d) = -6*d**2 + 2*d. Let u be r(1). Let k = 12 + u. Suppose -4*n = -4*b + 3804, -b = -4*n + k*n - 971. Is b composite? True Let t = -1443 + 4012. Is t composite? True Is (6 - ((-90)/(-12) + -2))*102514 a prime number? True Suppose 5*f + 10 = 3*f, 1991 = 2*n - f. Let a = 190 - 876. Let m = n + a. Is m composite? False Is (2/(-8))/(40/(-865120)) prime? True Let f = 0 - -11. Let r = f + -8. Is -1*(r + 0) - -13 a prime number? False Let g(i) = 4*i - 35. Let r be g(8). Is 17409/14 - (r + 7/2) prime? False Let l be (1 + 3)/(6/(-39)). Is 12/(-78) - 4242/l prime? True Let z(c) be the third derivative of 3*c**5/10 + 17*c**4/24 - 13*c**3/6 + 8*c**2. Is z(-8) composite? True Let c be (-6744)/36*(-9)/2. Suppose 0 = -4*k + c + 5065. Is k a composite number? True Let i = 17638 - 8547. Is i prime? True Let z = -23 - -39. Let i = z - 18. Is 428*(i + 11/4) prime? False Let s(x) = -x**2 + 2*x + 31. Suppose 36 = 5*t + 11. Suppose -t*z = -z. Is s(z) a prime number? True Let i(n) = 31*n + 13. Let g be i(9). Let a = 150 - g. Let m = 221 + a. Is m prime? True Let y(b) = 9*b**2 + 5*b - 13. Let c(p) = -p**2 + p + 1. Let x(j) = -3*c(j) - y(j). Let m be x(-7). Let z = -107 - m. Is z prime? False Let o be 5/(-10) - (-1)/2. Suppose 4*r - 533 = r + 4*x, 2*r - x - 357 = o. Is r prime? True Let f(i) = -1273*i - 31. Let v be f(-6). Suppose -v + 2700 = -7*t. Is t prime? True Let s(b) = -5*b - 3. Let j be s(-7). Suppose i + 0 = j. Suppose i = w - 3*z, -z = -2*w + 4*z + 61. Is w prime? True Let s(k) = -k**2 + 9*k + 1. Let x be s(7). Suppose u + 11 + 9 = 5*z, -2*u + x = z. Suppose 112 = z*f - 523. Is f a prime number? True Let k(x) be the second derivative of 443*x**5/20 - x**3/6 + x**2/2 - x. Is k(1) composite? False Suppose 5*m = 4*t - 1725 + 40, 0 = -2*t + m + 835. Let b be 0 + (-8)/10 + 8/10. Suppose -6*n + n + t = b. Is n a prime number? True Let n(j) = -29*j + 2. Let c be n(17). Suppose -q = -2*v + 4*q - 689, -5*v = -4*q + 1714. Let d = v - c. Is d a composite number? False Let d = 3 - 3. Suppose 0 = 5*g + k - 7, 9 + d = 3*g - k. Suppose g*z - 225 = 181. Is z prime? False Let p = -2056 + 4239. Is p a composite number? True Let g = 118 + -133. Is (-1)/(-3) - ((-101500)/g)/(-10) composite? False Let y(z) = -z - 13*z**2 + 373 + z + 12*z**2. Let p = 3 + -3. Is y(p) composite? False Suppose 0*q - 2*q + 3*v - 27 = 0, -21 = q - 4*v. Let x be 1 + 2 - (q + 8). Suppose -x*u + 224 + 132 = 0. Is u prime? True Suppose 0*p - p = 0. Let m be (-1)/((-4 + 6)/(-6)). Suppose p = -m*g + 4*d + 29, 2*g - 5*d - 12 = 19. Is g a composite number? False Let l(t) = 2*t**3 - 11*t**2 + 5*t + 5. Let y(c) = -5*c + 1. Let h be y(-1). Suppose h*a - a = 5, -4*s - 3*a + 31 = 0. Is l(s) a prime number? False Let r = 563 + -899. Let l = 2 - -1. Is l + 5/((-15)/r) composite? True Let p(d) = 91*d**2 - 2*d - 1. Let z be p(5). Let n = z - 1545. Is n prime? True Let f(i) = -i**2 + i + 350. Let z be f(0). Suppose -z + 1315 = -q. Let n = -658 - q. Is n prime? True Let v(o) = -111*o + 4. Is v(-10) a prime number? False Suppose 10*n - 25 = 5*n. Suppose 2398 + 7237 = n*f. Is f a prime number? False Let i(v) = 5*v - 2. Let p be i(1). Let k = 4 + 4. Let d = p + k. Is d prime? True Let o(q) = -144*q + 1. Let d be o(-1). Let b = d + 117. Let u = b + 525. Is u composite? False Let v(r) = 2*r**2 + 8*r + 4. Let z be v(-6). Let w = 46 + -42. Is 2/w + 2702/z a prime number? True Let m(s) = -6*s**3 + 2*s**2 + 8*s - 1. Let p(q) = 7*q**3 - 3*q**2 - 8*q. Let w(c) = 5*m(c) + 4*p(c). Is w(-6) prime? True Let h(z) = -z**2 - z + 31561. Is h(0) prime? False Let o(d) = -7*d**3 - 2*d - 2. Suppose -16 = b - 5*b. Suppose 2*p - b = 4*k, 0 = 3*k + 3 + 3. Is o(p) prime? False Is ((-139)/2 - 0)/(287/(-6314)) prime? False Let g(a) = -a**3 - 10*a**2 + 139*a - 25. Is g(-26) prime? True Let z(k) = -91*k + 35. Let w be z(-4). Suppose -5*s + w = -1271. Is s a prime number? False Suppose -2*y + 6 = 2. Suppose 3*p + y*p = 1030. Is p a composite number? True Let o
{ "pile_set_name": "DM Mathematics" }
10 Expand (-26 + 18 + 78)*(x**3 + 0*x**3 + 2*x**3)*(-3 + 3 + x) + 2 + x**4 - 2. 211*x**4 Expand (0 + 0 + 1)*(-z + z + 3*z) + 26 - 15 + 17*z - 14. 20*z - 3 Expand 41*h**2 - 8*h**2 + 31*h**2 + (0*h - 5*h + 3*h)*(-1 + 4 - 4)*(8 + 4*h - 8). 72*h**2 Expand (431*a - 180*a + a**2 - 105 - 249*a)*(0*a**2 + 0*a**2 + 2*a**3). 2*a**5 + 4*a**4 - 210*a**3 Expand (-p + 5*p - 3*p)*(p**2 - p**4 - 2*p**2 + 0*p**2) + (-p**3 - 3*p**3 + 8*p**3)*(0*p**2 + 8*p**2 + 3*p**2). 43*p**5 - p**3 Expand -140*o**5 - 102 + 102 - o**4 + 3*o**5 + o**4 + (3*o**2 - 4*o**2 + 2*o**2)*(2*o**3 + 2*o**3 - 2*o**3). -135*o**5 Expand -3*u**5 - 7*u**5 + 2*u**5 + (7*u - 3*u - 2*u)*(-u - 60 + 60)*(-2*u**3 + 3*u**3 + 0*u**3). -10*u**5 Expand (349*v - 19*v**3 - 349*v)*(-3 - 1 + 2) - 5*v**3 + 5*v**3 - 3*v**3 - 2*v**2 + 2*v**2 - 2*v**3 + (5*v - 3*v - v)*(0 - 2*v**2 + 0) - 2*v**3 + 2*v**3 - v**3. 30*v**3 Expand (-101 - 83 - 66)*(-2*g**3 + 2*g - 2*g). 500*g**3 Expand (2*v - 3*v - v - 5*v + v + 3*v + (-v - 2*v + v)*(-1 - 2 + 5))*(-38*v + 3*v**2 + 8*v**2 - 12*v**2). 7*v**3 + 266*v**2 Expand (-7*j + 6*j - 25*j)*(-1 - 4 + 3)*(4*j - 9 + 9). 208*j**2 Expand (-2*q**2 - q**3 + 2*q**2)*(3*q - 4*q - q) + 2*q**4 + q**4 - 5*q**4 + (330*q - 330*q + 25*q**3)*(2*q + 2 - 2) + 2*q**4 - 1 + 1. 52*q**4 Expand (5 + 0 + 2)*(52*y + 2 - 49*y + 114*y). 819*y + 14 Expand -2*q**3 - 1 + 1 + (24*q**2 - 8*q**2 + 4*q**2)*(4*q + q - 2*q). 58*q**3 Expand (-7*q + 70*q + 20*q)*(1 - 1 - 2) - 72 + 72 + 6*q. -160*q Expand (2*i - 2 + 1 + 2)*(-8 + 2*i + 8). 4*i**2 + 2*i Expand 211*q + 0*q**5 + 3*q**5 + 2 - 221*q + (q**3 + 0*q**3 + q**3)*(2*q**2 + 0 + 0). 7*q**5 - 10*q + 2 Expand (19*u**5 + 8*u**4 - 8*u**4 + (-u**3 + u**3 - 2*u**4)*(-2*u + 2*u - 2*u))*(-3 - 1 + 1) + 0*u**5 - 2*u**5 + 3*u**5. -68*u**5 Expand (5 - 5 + 3*k**2)*(11 - 6 - 18)*(-4 + 3 - 1). 78*k**2 Expand (2 + 2*h - 2)*(5*h**2 + h**2 - 4*h**2) + h**2 + h**3 - h**2. 5*h**3 Expand (-5*h - 18 + 2*h + 5*h)*(0 + 5 + 0)*(-h + h + h). 10*h**2 - 90*h Expand (112*z**4 - 2*z**3 + 896*z**4 - 196*z**4)*(0 + 0 - 1)*(1 + 0 - 3). 1624*z**4 - 4*z**3 Expand (30*a - 30*a - 16*a**2 - 56*a**2)*(-7 + 6 - 8). 648*a**2 Expand (111 + 6 + 149)*((-2*z + 1 - 1)*(6 - 2 - 2) + 0 + 0 - 2*z)*(-z**4 - 4*z**4 + 0*z**4). 7980*z**5 Expand (2 + 4 - 2)*(-5 + 5 - 8*o)*(0 - 3 + 4) - 5*o + 2*o + o. -34*o Expand (-5 + 3 + 3)*(-6 + 1 - 2)*(3 - 8 - 9)*(-4*l**4 - l**4 + 3*l**4). -196*l**4 Expand (4*m - m + 2 - m)*(9*m**2 + 14*m**2 - 4*m**2). 38*m**3 + 38*m**2 Expand 159*d**4 - 96*d**4 + 119*d**4 + 0*d - d**4 + 0*d + (3*d - 3*d - 2*d**2)*(2 + 2*d**2 - 2) + 3*d**4 + 2*d**4 - 2*d**4. 180*d**4 Expand (-46 - 43 + 33)*(-1 + 1 - m)*(-2 + 2 + 2*m**4). 112*m**5 Expand (-151*z - 933 + 464 + 470)*(1 + 0 - 2). 151*z - 1 Expand (-n**2 + n**2 - 2*n**2)*(8*n + 23*n - n) + n**2 + 2*n**3 - n**2 - n**3 + n**2 + 2*n**2 - 6*n**2. -59*n**3 - 3*n**2 Expand (-3 + 3 + 3)*(-2*h**5 - 2*h**4 + 2*h**4) + 2*h**5 + 55*h**4 - 7*h - 55*h**4 + 0*h**3 + 0*h**3 + 3*h**5. -h**5 - 7*h Expand (40 - 14*o - 40)*(5*o**3 - 2*o**3 - o**3) + 2*o + o**4 - 2*o. -27*o**4 Expand (3 - 4 + 2)*(h**3 - 4*h**3 + h**3) - 30*h**3 + 28*h**3 + 13*h**3. 9*h**3 Expand (1 + 12 - 4)*(1 - 3 + 1)*(3 + 0 - 2)*(0*s + 0*s + 2*s). -18*s Expand -6*t**2 + 3 - 3 + (t + t - 3*t)*(2*t - 2*t - 2*t) - 2*t**2 + 0*t**2 + 4*t**2 + t**2 - t**2 + t**2 + (-1 - 4 + 0)*(2*t**2 - 4*t**2 + 3*t**2). -6*t**2 Expand (-4 + 4 - 2*n)*(-144*n - 1 + 1 - 236*n). 760*n**2 Expand (3120*i - 2107*i - 3526*i - 29 + 29)*(0*i + 0*i + i). -2513*i**2 Expand 75*l - 5*l**2 - 88*l + 3*l**2 + 2 + (-l + 2*l + 0*l)*(2*l + l + 3*l) + (-3*l + l + 3*l)*(0*l + 0*l - 2*l). 2*l**2 - 13*l + 2 Expand r**2 - r**2 + r**3 + (4 + 2*r - 4)*(-15*r**2 + r**2 - 12*r**2). -51*r**3 Expand 3*n**4 - 4*n**4 + 16*n - 17*n + (0 + 0 + 2*n)*(4*n**3 + 3*n - 3*n). 7*n**4 - n Expand (4 + 5*x**3 - 4)*(-1 + 1 + 2)*(5*x + x**2 - 5*x). 10*x**5 Expand s - s - s - 5*s + 2*s - 4*s + (2 - 1 - 3)*(2*s - 2*s - 2*s) + (6 - 4 + 4)*(-8 - 2*s + 8). -16*s Expand 4*p**2 - 2*p**2 - 5*p**2 + (-2 + p**2 + 0 - 139*p + 141*p)*(2 - 6 - 2). -9*p**2 - 12*p + 12 Expand 92*q**4 - 92*q**4 + 14*q**5 + (-q**2 + 5*q**2 - 2*q**2)*(q**2 + q**3 - q**2) - 6*q + 6*q - 6*q**5 + q**3 - q**3 - 3*q**5. 7*q**5 Expand (0*z**2 + 5*z**2 - 4*z**2)*(2 - 2 + 2*z) - 69 + 69*z**3 + 69 + (0 - z**2 + 0)*(2*z + z - 5*z). 73*z**3 Expand 0*v + v - 3*v + (-7 - 5 + 2)*(0 + 0 - v) + 62*v - 4*v - 5*v. 61*v Expand (-2012 + 2010 - 5*r + 68*r)*(2*r**3 + 1 - 1). 126*r**4 - 4*r**3 Expand (77*p**4 + 35*p**2 - 79*p**4 + 28*p**2)*(4*p + 4*p - 5*p). -6*p**5 + 189*p**3 Expand (61*l + l**4 - 61*l)*((-5 + 5 + 2)*(4*l - 2*l - 4*l) - 2*l + 2 - 2 - 5*l + 3*l + 3*l + (-2*l + 0*l - 6*l)*(-1 - 1 + 0)). 11*l**5 Expand (3*z**3 + 2*z**3 - 3*z**3)*(64*z + 4*z**2 - 64*z) + 15*z**5 + 80*z - 80*z. 23*z**5 Expand (2 - 5 + 4)*(-3*w - 2*w + 6*w) - 118 - 147*w - 139 + 252. -146*w - 5 Expand (2*k + k - k)*(5 - 4 - 6)*(56*k + 25*k - 17*k). -640*k**2 Expand -5*g**5 + 3 - 2*g**5 - 1 + 2*g**5 + 2*g**2 - 2*g**2 + (3*g**4 - 6*g**4 + 2*g**4)*(-3*g - 3*g + 4*g) - 2*g**5 - g**5 + 0*g**5 - g - 2*g**5 + g. -8*g**5 + 2 Expand (-10 + 10 - 4*b)*(33*b - 47*b - 53*b). 268*b**2 Expand -h + h + 2*h**2 + 94*h**2 - 8*h**2 + 5*h**2 + (2 + h - 2)*(h - 1 + 1). 94*h**2 Expand ((-73 + 227 - 9)*(3 + 0 - 5) - 4 + 3 - 2)*(2*g**2 + g - g). -586*g**2 Expand (-2 + 0 + 0)*(-143*t - 213*t - 163*t) - 3*t + t + 4*t. 1040*t Expand (3*o + 165*o**4 - 166*o**4 - 9*o)*(23*o + 10 - 10). -23*o**5 - 138*o**2 Expand (-8 + 26 + 10)*(6 - 2 - 5)*(4*i + 2*i - 4*i)*(i**2 + 2*i**4 - i**2). -112*i**5 Expand -37*d + 4*d - 15*d**5 + 17*d + (-3*d + 4*d + d)*(5 - 2*d**4 - 5) + d**5 + 0*d**5 - 3*d**5. -21*d**5 - 16*d Expand (4*d - 6*d + 5*d)*(0 + 1 + 0)*(3 - 2 + 1). 6*d Expand (-4*r - r + 3*r)*(-3 + 2 - 2 + (0 - 1 - 2)*(-2 + 5 - 2) + (-1 - 3 + 2)*(-4 - 2 + 5) + 3 - 3 - 1)*(4*r**4 + 0*r**4 - 5*r**4). -10*r**5 Expand (5*r**2 + 3*r**2 + 4*r**2)*(r**2 + 0 + 0) - 5*r**4 - r**4 + 16*r**4. 22*r**4 Expand ((0*i - 6*i + 2*i)*(5*i - 2*i - 2*i) + (-3 + 2 + 5)*(2*i + 2*i - 3*i - 2*i**2))*(-4*i - 4 + 4). 48*i**3 - 16*i**2 Expand (4*w - 4*w**2 + 0*w**2 + 3*w**2)*(9*w - 2*w - 2*w)*(4 + 9 + 4). -85*w**3 + 340*w**2 Expand (-8 - 2*s**3 + 8)*(7 - 7 + s) + 4*s**4 - 5*s**4 + 0*s**4 + (2*s - 2*s**4 - 2*s)*(-2 + 0 + 1). -s**4 Expand (-1 + 1 - 2*z**2 + z**2 - z**2 + z**2 + (0*z + 3*z - 5*z)*(1 - 1 - z) + 78 - 78 + 17*z**2)*(2*z**2 - z**2 + z**2 + (z - z**2 - z)*(1 - 2 - 1)). 72*z**4 Expand (2*g - g + 0*g)*(104*g**3 + 23*g**3 + 5*g**3)*(0 + 3*g + 0). 396*g**5 Expand (40 + 50 + 238 - 146)*(c**2 - 3*c**2 + 0*c**2). -364*c**2 Expand o**3 + 0 - 1 + o**3 + (-2*o - 2*o**2 + 2*o)*(-35*o - 23*o + 63*o). -8*o**3 - 1 Expand (-4 - 20 + 146)*(-3*n**2 + 1 + 1 - n**2). -488*n**2 + 244 Expand (3 - 3 + 2)*(6 - 1 - 2)*(-13*g**2 + g**2 + 7*g**2). -30*g**2 Expand (7*y**2 - 3*y**2 - 2*y**2)*(-y**2 - 3 + 3) + (4*y**2 + y**2 - 2*y**2)*(-4*y**2 + 3*y**2 - y**2) + y**4 + 3*y**4 - 2*y**4. -6*y**4 Expand ((-2*n + 2*n - 2*n)*(-3 + 5 + 0) + (-3*n + 3*n - 2*n)*(6 - 2 - 3) + 0*n - 16*n - 15*n)*(-4*n**4 - 2*n**4 + 4*n**4). 74*n**5 Expand (4 + 0 + 0*t**3 + t**3 - t)*(36 - 50 - 40). -54*t**3 + 54*t - 216 Expand (-1102 + 5*s**2 + 809 - 3*s**2)*(4 - 1 - 1). 4*s**2 - 586 Expand (2 - 3 + 2)*(2 + 1 - 2)*(8*a + 8*a + 0*a)*(-4 + 4 + 4*a). 64*a**2 Expand (2*o**4 - 5*o**3 + 5*o**3 + (0 - 2 + 1)*(17*o**3 - 17*o**3 - 3*o**4))*(-8 + 20 + 12). 120*o**4 Expand (-5 + 2 + 4)*(-2*y + 3*y + 0*y) + y - 2*y - y + (-3 + 6 + 0)*(0 + 1 + 5)*(0*y + 5*y - 3*y). 35*y Expand (-s**4 + 3*s**4 - s**4)*(-s + 0*s + 2*s) - 2*s**5 + s**5 - s**5 - s**5 + 0*s**2 + 0*s**2 + 4*s**5 - 3*s + 3*s + 3*s**5 - 5*s**5 - 12*s**5. -12*s**5 Expand (4 + 2 - 5)*(0*a**2 + 0*a**2 - 2*a**3)*(-5*a + 16 - 16). 10*a**4 Expand -42*p**3 - 40*p**3 + 85*p**3 + (0 + 1 + 2)*(2*p**3 + 0*p**3 - p**3) + 3*p**3 - 3*p**3 + 2*p**3. 8*p**3 Expand (-2 + 4 - 3)*(-t + 2*t - 4*t)*(1 + 2*t - 1)*(1 + 0 + 1). 12*t**2 Expand ((3*s**2 - 2*s**2 + s**2)*(s + 0*s - 2*s) - 16*s**3 - 130*s**3 - 33*s**3)*(-1 + 5 - 2). -362*s**3 Expand (2*i - 2*i + 2*i**2)*(-2*i - 2*i**3 + 2*i) + 7*i**2 + 6*i**5 - 7*i**2 + 74*i**3 - 14*i**5 - 2*i - 74*i**3. -12*i**5 - 2*i Expand (7 - 14*a**2 - 7)*(-8*a + 2*a + 0*a)*(1 + 0 + 1)*(1 - 4 - 4). -1176*a**3 Expand (-5 + 4 - 2)*((2 + 5 + 2)*(0 + 1 + 1)*(5*u + 0*u - 4*u) + 2 - 2*u - 2 + (2*u - 3*u + 0
{ "pile_set_name": "DM Mathematics" }
s - 24*s - 2*s**3 to m*s**2 + b + j*s**3 + d*s and give b. 0 Rearrange -1 + 2*i - 2*i + 2 - 5*i to d + b*i and give b. -5 Express 10*b**2 - 2*b**2 - 24*b**2 as d*b**2 + i + o*b and give d. -16 Express -2*q**3 + 0 + 0 - 10*q**3 - 1 in the form a*q**2 + c*q + f*q**3 + b and give f. -12 Express -2 - 20*k**2 - 18*k**2 + 7*k**2 + 1 in the form d*k + b + n*k**2 and give n. -31 Rearrange 13*p - 21*p - 16*p - 24*p to the form r*p + w and give r. -48 Rearrange -39*l**2 + 76*l**2 - 90*l**2 to p*l + m*l**2 + j and give j. 0 Rearrange 6*d**4 - d - 3*d**4 + 0*d + 0*d**3 - d**3 - 2 to w + c*d**3 + f*d**4 + b*d + k*d**2 and give c. -1 Rearrange -6*i**3 + 4 + 6*i**3 + 0*i**4 - i**4 + 4*i**3 - 2*i to x*i**3 + j*i**4 + r + k*i + v*i**2 and give x. 4 Rearrange 34*m**3 - 15*m**4 + 3*m**2 - 4*m**2 - 33*m**3 - 9*m**4 to r*m + a*m**2 + d + c*m**3 + y*m**4 and give c. 1 Express (3*s - 1 + 1)*(2*s - 3*s - s) + (4*s - 4*s - 2*s)*(0 + 0 + 2*s) + 3 - s**2 - 3 in the form m*s + k*s**2 + p and give k. -11 Rearrange ((s + 0 + 0)*(0 - 5 + 3) - 2*s - 3 + 3)*(-2*s - 3*s + 3*s) to the form j*s + v*s**2 + o and give v. 8 Express -24 - 26 - 30 + 81 - 108*a**2 in the form j + z*a + k*a**2 and give k. -108 Rearrange -7*t**2 + 6*t**2 + 17*t**2 + t**2 to the form r*t**2 + f + d*t and give r. 17 Rearrange (-2*f**2 - 4*f**2 + 3*f**2)*(f - 4*f + f) + f**3 + 5*f**2 - 5*f**2 + (-5 + 5 + f**2)*(-f + 4 - 4) to p + m*f**3 + o*f**2 + z*f and give z. 0 Express z**2 - z**2 - z**2 + (4 - 2 - 1)*(3*z**2 - 6*z**2 + z**2) - 33*z + 67*z - 33*z + 11*z**2 in the form g*z**2 + b*z + r and give b. 1 Express (5*s + 18*s - s + (-2 + 2*s + 2)*(-4 + 4 - 1))*(0*s - 3*s + s) in the form k*s + x + t*s**2 and give t. -40 Express 4*k + 11*k**3 + 0*k - 6*k in the form m + v*k**3 + w*k + h*k**2 and give w. -2 Rearrange -17*z + 2*z**3 - z**3 + z**3 - 3*z to g + t*z + d*z**3 + x*z**2 and give t. -20 Rearrange (-15 + 6 - 3)*(-7*a - 5 + 5) to p*a + k and give p. 84 Rearrange 2*p**2 - 7 + 7 - 2*p + (4*p - 4*p + p)*(0*p - 2*p - 2*p) to w*p**2 + q*p + t and give w. -2 Rearrange -1139*k + 2*k**2 + 1139*k - k**2 to the form s + l*k + c*k**2 and give c. 1 Rearrange 3*d**3 - 3*d**2 - 5*d**3 + 9*d**2 - 2 + 65*d - 68*d to b*d**2 + y + m*d + k*d**3 and give k. -2 Rearrange -h + 3 + h**2 - 8 + 9*h**3 + 5 to f*h + p + b*h**2 + n*h**3 and give n. 9 Express -1 - 4 + 2 - 1 + 4*z**2 in the form l*z**2 + i + s*z and give l. 4 Rearrange -17*f**4 - 14*f**4 + 65*f**4 + f**2 + 1 to the form t*f**2 + l*f + a*f**3 + v + b*f**4 and give t. 1 Rearrange (2 - 2 - 16)*(1 - 1 + 2*h) to q*h + x and give q. -32 Express (4*b - 4*b + b)*(-47 + 47 - 2*b) - 2*b + 2*b + 5*b**2 in the form j + t*b**2 + g*b and give t. 3 Rearrange (-33 - 3 - 2)*(1 - 2*z**2 - 1) to the form m*z**2 + c + o*z and give m. 76 Rearrange 2*a + 2*a - 3*a - 10*a to the form w*a + g and give w. -9 Express (0 - 3 + 5)*(0*z + 10*z - z) as w*z + d and give w. 18 Express (2*u - 3*u - 2*u)*(-5 + 3 - 3) + 0 + 0 - u + (u - 3*u + 0*u)*(1 - 6 + 3) + 4*u + 0*u - 2*u as a + b*u and give b. 20 Rearrange (0 - 2 + 5 + (6 - 4 + 0)*(-1 + 0 + 2) - 1 + 1 + 1)*(3*n**2 + n**2 - 2*n**2) to the form a*n**2 + j + g*n and give j. 0 Rearrange (5*x**2 - x**2 + 8*x**2)*(5*x**2 - 9*x**2 - 10*x**2) to d*x**3 + o + z*x**4 + i*x + c*x**2 and give z. -168 Express 2*k + 4*k - 3*k**2 - 8*k as m + u*k + v*k**2 and give m. 0 Rearrange -37*y + 8*y + 3*y + 3*y to the form p + i*y and give i. -23 Rearrange 14*s**3 - 5*s**3 - 8*s**3 - 3*s**2 to the form k*s**2 + y*s + r + j*s**3 and give k. -3 Rearrange -107*l + 54*l + 99*l to the form h + z*l and give z. 46 Rearrange (0*q + 0*q - 2*q)*(-8 + 8 + 2*q)*(-3*q**2 + 2*q**2 - 3 + 3*q**2) to v*q**3 + c*q + i + p*q**2 + f*q**4 and give f. -8 Rearrange -7*q**3 - q**2 - 2 - 1 + 1 to the form g + c*q + a*q**3 + r*q**2 and give g. -2 Express (4*d - d - d)*(5*d**3 + 3*d - 3*d) + 0*d**3 + d**4 + 0*d**3 + 6*d**4 - 4*d**4 - 6*d + 5*d as y*d + r*d**3 + g*d**2 + l*d**4 + c and give y. -1 Rearrange -2 - 1 + 247*b**3 - 6*b**4 - 246*b**3 to the form f + y*b**4 + t*b + x*b**3 + z*b**2 and give y. -6 Rearrange (-q - 2*q**2 + q)*(-6*q**2 + 2 - 4 + 1) to s*q**4 + x + f*q**3 + r*q + u*q**2 and give s. 12 Rearrange 906*g + 55*g**2 - 906*g to the form q*g**2 + l*g + b and give q. 55 Rearrange -q**3 - 5*q - q**2 - q + 2*q**4 + 6*q to the form f*q**4 + u*q + o + g*q**2 + n*q**3 and give f. 2 Rearrange -14*o**3 - 10*o + 6*o + 4*o + 4*o**3 + o**3 - 3*o**3 + (0*o + o - 3*o)*(2*o**2 - 3*o + 3*o) to g*o + y*o**3 + u*o**2 + d and give y. -16 Rearrange 38*c**2 + 2*c**4 + 13*c - 36*c**2 - 3*c**4 - 2 to the form n*c**3 + m*c**4 + z*c**2 + y + j*c and give z. 2 Rearrange -7*r - 13*r + 8*r + (0 - 2 + 3)*(-r + 1 - 1) + r - r - 3*r to the form s*r + i and give i. 0 Express -9*z + 0*z + 7*z + 32*z in the form x + o*z and give o. 30 Express (4*m - 2*m - m)*(-2*m - 2*m + 2*m) + 5*m**2 + 0 + 0 as s*m**2 + t*m + f and give f. 0 Rearrange -y**2 + 4*y**2 - 2*y**2 to p*y + t*y**2 + v and give v. 0 Express -6*h**2 + 2*h**2 + 5*h**2 - 2*h**2 - h + h + (h + 2*h - 4*h)*(-4*h - h + 6*h) + 13*h - 14*h + 2 - 3 - 2*h**2 in the form p*h**2 + n*h + s and give n. -1 Rearrange -3 - h**3 - 1 - 5 to the form u*h**2 + y*h + i + s*h**3 and give i. -9 Rearrange 3*g**3 + g**2 + 4*g + 3*g**3 - 3*g - 3*g**3 + g**4 to the form y*g + z*g**4 + j*g**2 + c + d*g**3 and give z. 1 Rearrange -8*d**4 - 5 + 5 + (d**2 - d**2 + d**3)*(-d + 0*d + 4*d) + (-2 - 2*d**2 + 2)*(-d**2 + 2 - 2) to the form z*d**4 + r*d**2 + u*d + g + x*d**3 and give z. -3 Rearrange -2 + 0 + 2 - 22*o to d*o + v and give d. -22 Rearrange (3 - 2*k**2 - 3)*(-2 - 3 + 4)*((-2 + 0 + 3)*(-3*k + k + 0*k) + 3*k - 4*k - k + 0 + k + 0) to h*k + y + a*k**3 + s*k**2 and give a. -6 Express 27*n - 2 - 6*n + 2 as l*n + f and give l. 21 Rearrange (-9 + 9 + 6*i)*(-7*i**2 - 3*i**2 - i**2) to z*i**3 + s*i + v + h*i**2 and give h. 0 Express -6*c + c**2 + 4*c + 2*c**3 - 3*c**2 - 4*c**4 in the form u*c**4 + z*c + i + h*c**3 + p*c**2 and give z. -2 Rearrange y**2 - 18*y**3 - 3*y + 15*y**3 - y**2 to the form m*y**3 + g*y + p + h*y**2 and give m. -3 Express (51 - 33*n - 51)*(1 - 1 - 3*n) as u + g*n**2 + y*n and give g. 99 Express -4*y + 2*y + y + (4 + 2*y - 4)*(2 + 1 - 5) - 3*y + 3*y + 3*y in the form a*y + s and give s. 0 Rearrange 3*w**3 - 6*w**3 + 3*w**3 - 2*w**3 - 16*w**2 to q*w**3 + s + x*w**2 + j*w and give x. -16 Express 1102*x - 9*x**2 - 1102*x as a + q*x**2 + r*x and give q. -9 Express (125 - 57 + 153)*((0 - 3 + 4)*(4*i - 4*i + i) + 3*i - 4*i + 3*i) in the form b*i + z and give b. 663 Express -102*h**2 + 18*h**2 - h**2 as x*h**2 + j*h + a and give x. -85 Express (d + 3 + 131*d - 258*d)*(3 - 2 - 3) - 2 - 2*d + 2 + (-7*d + 3*d + 3*d)*(0 + 1 + 0) as b*d + n and give b. 249 Express 154*d**2 - 643*d - 649*d + 1292*d in the form t + x*d**2 + g*d and give x. 154 Express -6*t - 1 + 6*t - 26*t**3 + 40*t**3 as f + b*t**2 + a*t**3 + u*t and give f. -1 Express (-12*s + 21*s + 2*s**3 + s)*(-2 - s - 6*s + 4*s) in the form w*s + b*s**4 + u*s**3 + c + l*s**2 and give l. -30 Express (5*q - 24 + 24)*(-3 + 3 - 2) - 3*q + 4*q - 2*q as s + w*q and give w. -11 Express 0*t**2 + 0*t**2 - 22*t - t**2 + 8*t in the form q*t + r + s*t**2 and give s. -1 Express -11*v**2 + 9*v**2 - 51*v**2 in the form b + j*v**2 + d*v and give j. -53 Rearrange (-4 + 4 + 3)*(0 - 3*w + 0 - 2) to the form d*w + t and give d. -9 Express (0*j**2 - 25*j**2 + 9*j**2)*(-1 + 0 - 4) in the form v*j + t*j**2 + u and give t. 80 Express -2*w**3 + 5*w**2 - 2*w**4 + w - 7*w**2 - 1 + 3*w in the form h*w**2 + y*w + g*w**3 + i*w**4 + d and give d. -1 Express (0 + 4 - 3)*(3*s - 2 - 3*s - s) in the form n + u*s and give u. -1 Rearrange -5*r + 0*r + r**2 + 5*r - 2 to k*r**2 + w + g*r and give g. 0 Express 13*d**2 + 25*d**2 - 5*d**2 + (-3 + 3 - 2*d)*(3*d - 2 + 2) + 2 - 2 - d**2 - d**2 + 3*d - 3*d as y*d + l*d**2 + j and give l. 25 Rearrange (-10 + 20 - 9 - 5*q)*(3*q - q - 4*q) to r*q + i*q**2 + s and give r. -2 Express -z**2 - 9*z + 9*z + 23 - 3 in the form s*z**2 + a*z + o and give o. 20 Rearrange (2 - 5*d**4 - 2)*(0 - 2 + 0)*(3 - 2 + 3) to the form z*d + n*d**3 + o*d**2 + g + q*d**4 and give z. 0 Express (-3*u + 3*u + 2*u)*(115*u + 94*u - 185*u + 112*u) in the form o + n*u + s*u**2 and give s. 272 Rearrange (-5*y**3 + 3*y**3 + y**3)*(3 + 1 - 3)*(1 - 6 + 4)
{ "pile_set_name": "DM Mathematics" }
9/143 Two letters picked without replacement from mduddmduudumdududu. What is prob of picking 1 m and 1 u? 7/51 What is prob of picking 1 c and 1 m when two letters picked without replacement from mjcjjjjjcwcjc? 2/39 Three letters picked without replacement from {h: 12, q: 3}. Give prob of picking 3 h. 44/91 Two letters picked without replacement from {d: 4, r: 2, z: 5}. Give prob of picking 1 r and 1 z. 2/11 Three letters picked without replacement from sssyssswsssysssymoo. What is prob of picking 1 m and 2 s? 22/323 Calculate prob of picking 1 u, 1 l, and 1 h when three letters picked without replacement from uggghgpl. 1/56 Four letters picked without replacement from {a: 5, r: 4, i: 2}. What is prob of picking 2 a and 2 i? 1/33 Two letters picked without replacement from millvlivvv. What is prob of picking 1 l and 1 v? 4/15 What is prob of picking 1 m and 1 s when two letters picked without replacement from {a: 2, s: 2, r: 1, m: 2, x: 1}? 1/7 Calculate prob of picking 2 l and 1 t when three letters picked without replacement from {l: 2, w: 1, o: 2, t: 1}. 1/20 Two letters picked without replacement from {n: 3, t: 1, p: 3, r: 5}. Give prob of picking 2 p. 1/22 Four letters picked without replacement from shssasasah. What is prob of picking 3 s and 1 a? 1/7 Four letters picked without replacement from {u: 2, t: 10}. Give prob of picking 1 u and 3 t. 16/33 What is prob of picking 1 d and 1 r when two letters picked without replacement from {d: 1, r: 19}? 1/10 Calculate prob of picking 1 z and 1 s when two letters picked without replacement from {g: 3, w: 1, z: 7, j: 1, s: 2}. 2/13 Calculate prob of picking 1 i and 1 f when two letters picked without replacement from {i: 1, x: 2, f: 3, m: 10}. 1/40 Two letters picked without replacement from rtrr. Give prob of picking 1 t and 1 r. 1/2 What is prob of picking 3 q when three letters picked without replacement from {q: 5, f: 7, i: 4}? 1/56 Three letters picked without replacement from nbpnnnqdqnqb. Give prob of picking 2 n and 1 b. 1/11 Calculate prob of picking 3 e and 1 m when four letters picked without replacement from emeeemmeeme. 14/33 What is prob of picking 2 i when two letters picked without replacement from iiyyiyyiiyyyyiiyii? 4/17 What is prob of picking 2 e and 2 a when four letters picked without replacement from {a: 3, e: 3}? 3/5 Three letters picked without replacement from {c: 3, y: 2, l: 3, m: 1, f: 3, o: 2}. What is prob of picking 1 f, 1 o, and 1 l? 9/182 What is prob of picking 2 y when two letters picked without replacement from vvvyxvvgvdyxgg? 1/91 Two letters picked without replacement from gcsgjbe. What is prob of picking 1 s and 1 j? 1/21 Two letters picked without replacement from frrr. Give prob of picking 1 f and 1 r. 1/2 Three letters picked without replacement from {n: 3, k: 2, s: 4}. What is prob of picking 1 n and 2 k? 1/28 What is prob of picking 1 n and 1 q when two letters picked without replacement from {z: 2, o: 1, e: 1, x: 1, q: 1, n: 1}? 1/21 Calculate prob of picking 4 p when four letters picked without replacement from pppppppppp. 1 Three letters picked without replacement from xnzxnzznzzx. What is prob of picking 2 x and 1 z? 1/11 Three letters picked without replacement from vvtggpvtpvuh. What is prob of picking 2 p and 1 v? 1/55 What is prob of picking 1 q, 1 p, and 1 m when three letters picked without replacement from {p: 1, d: 1, q: 1, m: 2}? 1/5 Calculate prob of picking 2 s and 1 k when three letters picked without replacement from osissdsssosski. 1/13 Four letters picked without replacement from {q: 2, m: 4}. Give prob of picking 3 m and 1 q. 8/15 What is prob of picking 1 u and 1 i when two letters picked without replacement from {r: 7, u: 3, i: 4}? 12/91 Two letters picked without replacement from gllgagal. What is prob of picking 1 g and 1 a? 3/14 What is prob of picking 2 a when two letters picked without replacement from {a: 2, c: 1}? 1/3 Two letters picked without replacement from yyllyyylyl. What is prob of picking 1 l and 1 y? 8/15 Three letters picked without replacement from wwrrww. What is prob of picking 2 w and 1 r? 3/5 What is prob of picking 1 s and 2 n when three letters picked without replacement from {n: 7, s: 2, x: 1, d: 2}? 21/110 Calculate prob of picking 1 y, 1 d, and 1 f when three letters picked without replacement from {d: 1, f: 2, y: 4}. 8/35 What is prob of picking 1 p and 3 w when four letters picked without replacement from pwwowwwwoowwwwwosow? 55/969 Two letters picked without replacement from {t: 1, r: 5, m: 3, d: 3, o: 2, l: 1}. Give prob of picking 1 t and 1 d. 1/35 Three letters picked without replacement from ggg. What is prob of picking 3 g? 1 Two letters picked without replacement from {r: 4, n: 2, u: 10, x: 3}. Give prob of picking 1 n and 1 x. 2/57 What is prob of picking 2 m, 1 u, and 1 d when four letters picked without replacement from {d: 1, l: 1, m: 5, u: 2, k: 1}? 2/21 Three letters picked without replacement from uqqqu. Give prob of picking 3 q. 1/10 Three letters picked without replacement from vxxvyynkxykx. Give prob of picking 1 k, 1 x, and 1 v. 4/55 What is prob of picking 2 w and 1 f when three letters picked without replacement from qwqjqwf? 1/35 Two letters picked without replacement from ahabaebbabbbbbbh. Give prob of picking 2 a. 1/20 What is prob of picking 1 a and 1 x when two letters picked without replacement from {g: 1, x: 1, k: 1, a: 1, b: 1, j: 2}? 1/21 What is prob of picking 2 m and 2 a when four letters picked without replacement from {a: 6, t: 6, m: 3, j: 1, h: 1}? 9/476 What is prob of picking 1 o, 1 p, and 2 z when four letters picked without replacement from zpvzhozzo? 2/21 Calculate prob of picking 1 w and 1 z when two letters picked without replacement from fotewetofezooeeow. 1/68 What is prob of picking 4 g when four letters picked without replacement from ppggppggpppggpggpgg? 35/646 What is prob of picking 1 y and 1 r when two letters picked without replacement from {r: 1, y: 2, t: 1, g: 2, h: 1}? 2/21 Calculate prob of picking 3 n and 1 x when four letters picked without replacement from {n: 4, x: 3}. 12/35 Two letters picked without replacement from nvgzo. Give prob of picking 1 z and 1 g. 1/10 Two letters picked without replacement from fyffy. What is prob of picking 2 y? 1/10 Three letters picked without replacement from {j: 4, e: 2}. What is prob of picking 1 e and 2 j? 3/5 Three letters picked without replacement from lkmimmmlkli. Give prob of picking 1 l, 1 m, and 1 i. 8/55 Four letters picked without replacement from vkabjbkaka. What is prob of picking 1 j, 1 v, and 2 k? 1/70 Calculate prob of picking 2 i when two letters picked without replacement from {c: 1, m: 3, i: 5, d: 6, e: 3}. 10/153 What is prob of picking 1 t and 1 h when two letters picked without replacement from hpt? 1/3 Calculate prob of picking 2 h and 2 u when four letters picked without replacement from buuuuuuuhbhhuuuubh. 11/102 What is prob of picking 1 k and 2 l when three letters picked without replacement from {q: 3, k: 5, m: 9, l: 3}? 1/76 Calculate prob of picking 1 m and 1 l when two letters picked without replacement from {a: 1, k: 1, l: 2, m: 9}. 3/13 What is prob of picking 1 b and 1 w when two letters picked without replacement from ngbrgnww? 1/14 Three letters picked without replacement from rcddccccr. What is prob of picking 1 r and 2 d? 1/42 Three letters picked without replacement from {c: 5, w: 8}. What is prob of picking 3 w? 28/143 Two letters picked without replacement from {i: 4, b: 1, w: 2, d: 1, p: 3, v: 4}. Give prob of picking 1 p and 1 b. 1/35 Two letters picked without replacement from {d: 7, s: 5, e: 1, p: 2, h: 3}. Give prob of picking 1 p and 1 e. 2/153 Three letters picked without replacement from foooshppfsfoosfs. What is prob of picking 2 f and 1 p? 3/140 Three letters picked without replacement from {k: 1, q: 12, g: 1, e: 1, c: 4, x: 1}. Give prob of picking 1 g, 1 c, and 1 x. 1/285 What is prob of picking 2 m, 1 d, and 1 b when four letters picked without replacement from xmxbbmmbmdmxmmdbxd? 7/85 Two letters picked without replacement from {u: 11, t: 3}. Give prob of picking 2 u. 55/91 What is prob of picking 1 s, 1 n, and 1 w when three letters picked without r
{ "pile_set_name": "DM Mathematics" }
= 11*u + 22. Let x be m(-2). Solve -4*d - 4*r + 24 = -x*r, -2*r - 13 = -3*d for d. 5 Let x be (-2)/(-18) - (-34)/18. Let z be 84/12 - 4/x. Suppose 4*u + 3*q = 26, z = u + 2*u - 5*q. Solve 25 = -u*b, 4*f - 4*b = b + 33 for f. 2 Let i be 165/(-40)*4*(-8)/12. Let y be 1/6 - (-17)/6. Suppose j - 2 = -4*j - 4*h, y*h = -3*j. Solve j*s + 3*d = -i, 2*s - d + 1 = -2*s for s. -1 Suppose 5*v + 4*q = -11, -q + 4 = -2*v - 3. Let k be (v/6)/((-3)/30). Let x = -2 + k. Solve 4*u - b = 21, -x*u + 9*b + 20 = 4*b for u. 5 Let v(x) = -3*x. Let f be v(8). Let c = f - -26. Solve 0*t - t = -y + c, -4*t = -5*y + 9 for y. 1 Let s = 5 + -5. Suppose m + s*m = 6. Solve -2*u - 6 = 5*g + m, g = -2 for u. -1 Let v be 132/(13 + -1) - 11. Solve 0*l + 6 = -l + g, v = 3*l - 2*g + 17 for l. -5 Let w be 7/(-21) + (-11)/3. Let a be (w - 0)*(-6)/8. Solve -5*p = 2*o + 18, -2*o = -5*o + a*p + 15 for o. 1 Suppose 3*l - 4*j - 7 = 0, 35*l - 31*l = 5*j + 10. Solve 15 = l*q - 5, 2*c = -2*q + 12 for c. 2 Let o(c) = -4*c + 14. Let a be o(14). Let b = -40 - a. Solve 9 = t + 2*t, -4*r - b*t = 14 for r. -5 Let z be ((-1)/(-1 + 2))/(225/(-450)). Solve 4*f - 4 - 6 = -z*a, 25 = 5*a - 4*f for a. 5 Let t = -109 + 109. Suppose 0 = -5*r - 3*c - 5, 0*r - 4*r - 3*c - 7 = t. Solve 6*j = r*j - 5*l - 22, 4*j - 2*l + 8 = 0 for j. -3 Let q(i) = -i**2 + 5*i - 4. Let n be q(4). Let v(p) = -p**3 - 21*p**2 + 23*p + 29. Let y be v(-22). Solve -4*g = n, a - y*g = -2*g + 2 for a. 2 Suppose 0 = -5*g - l + 4, -g + 31*l + 4 = 28*l. Solve 4 = -3*f + i + g, -2*f + 3*i = 2 for f. -1 Let v be (-17)/68 + (-33)/(-4). Suppose -1 = j + v. Let l be 2 + -1 + (-27)/j. Solve -5*w - 14 = u - 10*w, -5*w + 11 = -l*u for u. 1 Suppose 4*h = -n, 0 = -7*n + 5*n - 4*h + 8. Let j(c) = -c**3 - 4*c**2 + 6*c + 7. Let z be j(-5). Let m = z - -7. Solve 0 = 2*k + x - n, 5*k = -x + m + 8 for k. 3 Let q = -13 - -16. Let c(a) = -4*a - 5. Let t be c(-2). Suppose -t = -x + h, 0*h + 13 = x + h. Solve -5*j = z + 2*z - 10, -x = q*z - 4*j for z. 0 Suppose 0 = 139*x - 134*x - 25. Solve j = -5*n, j + 15 = x*n + 5 for n. 1 Suppose 5*c + 25 = 12*m - 17*m, 2*c = 5*m + 25. Solve 0 = 5*k - 2*o - 26, -3*o - 21 = -3*k - c*o for k. 4 Suppose 256 = 14*q + 2*q. Solve -4*x + 4*g + q = 0, -4*x + 3*g - 5*g = 2 for x. 1 Let f be 2*1/4*2. Let d be 8/(-6)*543/(-362). Solve -d*j + 5*i + 4 = 0, f = -j + i - 0 for j. -3 Let a be -2 + 7 - (-22 - -25). Solve -5*m - 2*l + 18 = 0, a*m + 6*l - 8*l - 10 = 0 for m. 4 Suppose -5*d = -2*f + 299, -2*d - 4*f = -3*f + 116. Let l = -32 - d. Suppose -5*i + 3 = -2. Solve -3*g + 5*j = l, -3 + i = -g - 2*j for g. -4 Suppose -3*x + 7*x = -96. Let k = x + 33. Let o be (18/4 - 4)*0. Solve o = -3*j + p + 14, 4*p - 6 = j + k*p for j. 4 Let g(l) = -5 - 913*l - 4*l**2 + 5*l**2 + 915*l. Let a = -1 - 3. Let d be g(a). Solve 0 = -d*p + p + m - 11, -4*m = -2*p - 26 for p. -3 Let m = -24 + 25. Suppose 2*v + 0 = -2*u + 6, 0 = v - u - m. Solve v*i + 2 = g - 2, -g - 2*i - 8 = 0 for g. -2 Let r(p) = -p**3 + 16*p**2 + 19*p - 25. Let d be r(17). Suppose -d*h + 11*h - 4 = 0. Solve 3*g + 5 = 4*a, -4*a + h*a + 1 = -3*g for g. 1 Let g(k) = -3*k - 21. Let y be g(-8). Suppose y*i = -i + 16. Solve -f + 5 = i*c, -c + f + 0*f = 0 for c. 1 Let o(y) = 4*y**2 - 2*y + 2. Let q be o(2). Suppose 2*l - 46 = a, 3*l - 92 = 2*a - 25. Solve -r + 5*i = r + q, -3*r + l = 4*i for r. 3 Suppose -5*x + 3*k + 28 = 0, -6*x = -5*x - 5*k - 10. Solve -5*d - x*t + 1 = -4, -3 = -5*d - 3*t for d. 0 Let y be (27/(-36))/3*-60. Solve 4*n = -4*q - 28, 0 = 4*n + 3*q + y + 10 for n. -4 Let f = -572 - -594. Solve 2*j + 2 = 0, 2*j + f - 4 = 4*q for q. 4 Let u(j) = -3*j**3 - 103*j**2 + 70*j. Let x be u(-35). Solve x*z + 11 = -3*z + 2*h, 0 = z + 3*h - 11 for z. -1 Let m = -52 - -55. Suppose 0 = 2*l - m*g + 2 + 4, -l - 4*g = -8. Solve 5*u + 23 = -2*p - l*u, -4*p + 4*u = 4 for p. -4 Suppose 4*u + 3*b = -43, 2*b + 2 - 6 = 2*u. Suppose 0*k - 18 = -2*k. Let h = u + k. Solve 4*n + 5*t = 9, -h*t + t = 2*n - 3 for n. 1 Let g(h) = h + 9. Let k be g(-5). Suppose 22*d = -14*d + 144. Solve -k*n + 7*j + 8 = 2*j, d*n - 8 = 2*j for n. 2 Let m(a) be the third derivative of -a**5/60 - 5*a**4/12 - 3*a**3/2 - 6*a**2. Let b be m(-7). Let p = b - 8. Solve -2*v - 4*y + 0*y = 6, -v + 21 = -p*y for v. 5 Let a(z) = -2*z**2 - 5*z - 2. Let w be a(-4). Let j be ((-26)/52)/(1/20). Let h = j - w. Solve -5*s - 10 = -5*t, -t + 10 = -3*s + h*t for s. 0 Let d(r) = r + 27. Let j be d(-3). Let w = j + -14. Solve 5*i - w = 0, i - 4*i = 3*p + 9 for p. -5 Let g be (4/(-1))/4 + 1*4. Solve g*a + 5*s + 18 = -9, 3*a - 5*s - 3 = 0 for a. -4 Let l be ((-8)/6)/(144/(-540)). Solve c + 5*r = -5, 5*r = -5 - l for c. 5 Suppose m + v - 1 = 7, -5*v + 22 = -m. Let l = 43 + -31. Suppose 3 = -m*q, -3*w + 3*q - l = -6*w. Solve -3*n + 0*n - 4 = -w*i, 11 = i - 4*n for i. -1 Let o(r) = -r**3 + 3*r**2 - 10*r - 4. Let i be o(5). Let y = 107 + i. Solve -5*g + 2 = 3*s - y, 0 = -4*g - 2*s + 4 for g. 1 Let a be 441/567 + (-4)/(-18). Solve 4*f - 6 = 5*m, -a = 4*f + 3 for m. -2 Let p = -25 + 2. Let r = p - -23. Solve -m - 3*m - 4 = -4*o, r = 2*m - 5*o + 8 for m. 1 Suppose -1605*t - 132 = -1616*t. Solve -4*b + 8 = -2*n, -3*n + t + 16 = 4*b for n. 4 Let n = -219 + 224. Solve -3*a - 7*c + 21 = -3*c, 4*c - 27 = -n*a for a. 3 Let g(a) = a**2 + 10*a - 10. Suppose -3*n = -5*n - 22. Let s be g(n). Let m = s + 4. Solve -m*p = 3*z + 14, -2*z = -3*z - 3 for p. -1 Suppose -3*m + 8*m - 30 = 5*r, 0 = m + 3*r + 6. Let l be -4 - (6 + (3 + -3 - 34)). Solve -l = -m*p + 5*p - 4*k, 0 = -4*p + 2*k - 24 for p. -4 Suppose 0*g = 5*g - 25. Suppose 0*x + g*x = 25. Suppose 4*r - 29 = 3*s - 0*s, -5*s - 40 = -x*r. Solve -a = -6*f + f - 7, r*f - 5 = -5*a for a. 2 Suppose 0*v = 2*v - 6. Let a = 75 + -71. Suppose -8 = -4*k + v*w + a, 2 = k - w. Solve -4*i - 15 = -9*i + 2*c, 2*c + k = -4*i for i. 1 Let v be 30/(-135) - (-227)/9. Suppose -15 = -30*g + v*g. Solve 0 = 2*j, 3*h - g*j - 2*j - 3 = 0 for h. 1 Suppose 28 = -4*b - 5*j, -4*b + j + j = 28. Let l be b/((-21)/12) - -1. Suppose -2*q + 9 = l. Solve -q*s + 3 = 1, -r - 2 = 2*s for r. -4 Suppose 0 = 2*t - 10 + 2. Let w be (-39)/12 + 2/8. Let q(v) = -v**3 - 4*v**2 - 5*v - 4. Let r be q(w). Solve d = r*s + t*d - 3, -s = d for s. -3 Let x be (-5 - -12)/(2 - 3). Let c = 18 - x. Solve 5*d - 3*k + c = 0, -5*d + 4*k - 22 = -4*d for d. -2 Let u be 21/105 - (-1)/(10/108). Solve 0 = 4*a - 16, -3*v + u = 2*v - a for v. 3 Let i be 2/(5*8/100). Suppose -i*c = -10 - 5. Suppose 5*t = 2*t + 30. Solve -n - t - 15 = -5*g, -10 = -c*n - 2*g for n. 0 Let z be 9/((18/(-4))/(-3)). Suppose -12 = -27*f + 24*f. Solve 0 = -f*g + 4*o + 8, 3*g - 2*o = -6*o + z for g. 2 Let m(j) be the second derivative of 2*j**3/3 - 8*j**2 + 41*j. Let a be m(5). Solve 4*c + 5*v = -11, 2*c = a*c + 5*v + 13 for c. 1 Let q = 17 + -13. Suppose 5*j - 4*i - 128 = -6*i, -i + 103 = q*j. Suppose 5*r = j - 1. Solve -2*z = 5*o + 4, 6*z - 2*z = -r*o + 2 for o. -2 Let b(c) = c**2 - 6*c - 5. Let r be b(14). Let p = -106 + r. Solve -3 = -5*q - 0*d + 2*d, 4*d = 3*q + p for q. 1 Suppose 4*g - 3*b + 271 = 0, 2*g + b = g - 66. Let q = g + 70. Solve -4*x = 2*j - 6*j, q*x + 6 = 5*j for x. 3 Let r = -9 + 13. Let g be (-3)/(-12)*0/(r/(-4)). Solve g*p + 6 = 5*p + 3*y, -4*y = -8 for p. 0 Suppose 0 = -0*p + 5*p - 75. Let u = p + -11. Suppose -5*r + 26 = 2*t, 5*t - 18 = -r + 24. Solve x + u*i = 4 + t, -3*i + 20 = -2*x for x. -4 Suppose -2*k + 4*g - 4 = 0, -k - 5 = -5*g + 3. Let h = -75 - -119. Suppose -3*i = -2*m - 7*i + h, 2 = -2*i. Solve -a - p - 7 = 0, 3*a + m = -k*p - 2*p for a. -4 Suppose -w + 2 = -4*k, 2*w - 4 = 76*k - 78*k. Solve -2*s - 12 = -2*d, 2*s = -k*d - 5*d + 2 for s. -4 Let x(m) = -m**2 - 14*m - 14. Let l be x(-12). Let y be l/1*2/4. Solve z = 4*w + 5, -2*w - 12 = y*z + 7 for w. -2 Suppose -2*x + 5*o + 24 = 0, -4*x + 13 = -4*o - 11. Solve k - 4*t + 2*t + x = 0, 2*k - 5*t + 7 = 0 for k. 4 Suppose 5*i = -3*k + 34, -6 = 5*k + 4. Let n(v) = v**2 - 5*v - 19. Let b be n(i). Solve b*q - 15 = -r, -5*r = q - 2 - 1 for r. 0 Let a(i) = i**2 + 7*i + 6. Let d be a(-6). Let h be (-5)/(-140)*20 - (-270)/63. Solve -2*s + 2*m + 4 = -3*m, d = h*m for s. 2 Let v(o) = -o**3 - 7*o**2 - 4*o - 3. Let l be v(-7). Solve -l = 5*g - 4*i, 5*g + 3*i - 6 = 4 for g. -1 Let y(f) = f**2 - 13*f - 8. Let h be y(12). Let u be ((-272)/h
{ "pile_set_name": "DM Mathematics" }
)*2/(-24). 1/3 Evaluate (-92)/16 + 7 - 2/8. 1 Calculate (9/48*4)/((-6)/4). -1/2 Calculate (-1)/(-2) - 1309/154. -8 ((-2)/(-3))/(588/(-378)) -3/7 Evaluate (1/2)/(10/(-100)). -5 What is (-13 - -18) + 4/(-2)? 3 What is the value of (-4)/((-16)/(-36)) + 2? -7 What is the value of 6*(6 + (-33)/6)*1? 3 What is the value of (54/(-42) - 7) + 8? -2/7 What is the value of (-4)/3*((-13)/(-4) + -3)? -1/3 Calculate (-8)/36 + (-37)/(-45) + -1. -2/5 Calculate -7*4/(-42) + (-84)/99. -2/11 Evaluate ((0 + 8)/2)/(-1). -4 ((-212)/(-36) - 5)*(-9)/(-2) 4 Calculate (-2)/(-6)*0/(-1). 0 Evaluate (-10)/(-15) + (-7 - 856/(-120)). 4/5 Evaluate 2 - (0 + -3)/3. 3 Calculate 3*25/21 + 4 + -8. -3/7 What is the value of (5*(-39)/65)/(-1)? 3 Evaluate 22/(-165) - 56/30. -2 6/21 - 6/(-28) 1/2 (-4)/32 - 50/(-16) 3 What is 1 + (-7 - (-7 - -2))? -1 (24 - 10)*(-6)/(-42) 2 What is (1 - 1/1) + (-199 - -199)? 0 (-4)/6*6/14 -2/7 Evaluate (-1308)/109*6/(-8). 9 -5 + -2 + (-177)/(-27) -4/9 What is the value of ((-3)/(-4) + 93/(-124))*1? 0 What is ((-3)/(-15))/((-8)/(-100))? 5/2 What is the value of (1/(-2*1))/(4/56)? -7 Evaluate 7 - 2 - (-4 + (-620)/(-68)). -2/17 (-3)/273 - (-27)/(-189) -2/13 (3/((-24)/(-10)))/((-1)/4) -5 What is (-2 + 4)*-2*(-15)/(-20)? -3 ((-212)/38 - -6)*(-2)/(-8) 2/19 Evaluate 19/(-6) - (-46 - -43). -1/6 What is the value of 7 - 111*(-3)/(-45)? -2/5 Evaluate ((-8)/14)/(13/(910/60)). -2/3 Evaluate (-17 - (-4510)/264) + (-14)/72. -1/9 Calculate 3/(-5) - 396/90. -5 What is the value of (10 + -4 + -2)/((-8)/8)? -4 Evaluate (-15)/(-27)*((-156)/40)/13. -1/6 What is the value of (3/6)/(18/9)? 1/4 Calculate (26/(-195) + (-111)/180)*4. -3 Evaluate 56/40 + -2 + 0. -3/5 What is -1*(-2 + 1)*(-560)/336? -5/3 Calculate ((-6)/(-42))/(36/84). 1/3 -21*5/(-15) - (-8 - -11) 4 Evaluate (-6 + 12/3)*1/2. -1 What is -8 - (-60)/8 - (-1 - -1)? -1/2 What is 4/18 + (8/18)/(-2)? 0 What is (63/6)/21*(1 - 2)? -1/2 4 + -1 + -2 + -6 -5 -10 - (-7 + 10 - 11) -2 7/3 - ((-26)/3 + 8) 3 What is 4 - (-222)/(-56) - (-4)/(-14)? -1/4 (-112)/(-32)*6/14 3/2 Evaluate (-64)/(-24)*(-6)/4. -4 What is 39/45 + -2 + (-38)/(-38)? -2/15 Evaluate (-3 - 8/(-8))*-4. 8 Evaluate (6 - (-3 - -3)) + (2 - 3). 5 What is 3*1 - 595/119? -2 What is (-972)/(-99) + -10 + (-80)/(-198)? 2/9 Evaluate (20/25)/(8/20). 2 What is ((-25)/(-350))/(1/(-4))? -2/7 What is (26/39)/((-50)/(-15))? 1/5 Evaluate (-14)/63 + 13/18. 1/2 Calculate (4 - (-215)/(-50))/(1/2). -3/5 Evaluate (-89)/(-13) + 12 + -19. -2/13 Evaluate 1/(5 - 0 - 39/13). 1/2 What is 3/(-10)*380/285? -2/5 Calculate 3/2*640/(-240). -4 What is the value of ((-10)/15 - 14/(-12))*2? 1 Evaluate (-12)/(-8) + 5 + (-2)/4. 6 What is the value of -1*(2/(-3))/((-100)/(-30))? 1/5 Calculate 7/4 + 11/(-11). 3/4 Evaluate ((-9)/36)/(10*3/72). -3/5 What is the value of 2/(-11) - 4/((-88)/26)? 1 What is (-8)/6*4/32? -1/6 Evaluate -5 + (-129)/(-27) + (-70)/(-72). 3/4 ((-5)/3)/((-20)/48) 4 What is the value of 10/2 + -3 - (0 + 2)? 0 ((-2)/(-16))/(28/(-12) + 2) -3/8 6/4*((-8)/(-6) + -2) -1 What is 336/57 + -3 + -3? -2/19 What is the value of (10/8 + -1)/((-2)/8)? -1 9114/(-1127) + (-2)/(-23) -8 Calculate (-7)/(-8) + (-13)/(-104). 1 What is the value of (-8)/3 - ((-1)/(-3) + 7)? -10 What is ((-5 - -8) + -2)/(0 - -1)? 1 Evaluate (8/42)/((-80)/56). -2/15 Calculate 612/816 - (-2)/(-8)*-3. 3/2 Calculate (9/(-36))/(21/(-24)). 2/7 What is the value of (-7 - -19)/(-4)*2/(-9)? 2/3 Calculate (-10)/(-126) - (-2)/(-9). -1/7 Calculate 10/70*(-14)/(-4). 1/2 What is -6 - (-114)/24 - -1? -1/4 (80/(-15) - -4)/(12/18) -2 Calculate 8/(((-2 - -1)*4)/2). -4 What is -3 - -3*56/21? 5 What is the value of ((-11)/(-9) + 30/(-135))*-4? -4 Evaluate (4 - 1)*((-42)/(-9) - 4). 2 What is the value of (-13 - -14)*(2 - (0 - -7))? -5 What is the value of (((-12)/15)/4)/((-3)/5)? 1/3 Calculate 27*(-2)/(-15) - 4. -2/5 Evaluate 1692/324 - 1*4/18. 5 Evaluate (3*-2)/(30/20). -4 What is -5*(-3)/45 + 1/6? 1/2 What is the value of -3 + 100/(-30) + 6? -1/3 What is the value of 3 - ((9 - 13) + 5)? 2 (-96)/720*6/(-8) 1/10 ((-4)/(-6))/((-12)/54) -3 What is the value of 0/(-7 - 32/(-4))? 0 What is (-36)/(-126) + (3 - (-255)/(-35))? -4 Calculate (-2)/11 - -138*13/(-1144). -7/4 0 + (10/(-15) - 0) -2/3 What is the value of (16/(-20))/(-4)*3? 3/5 Evaluate (-5*(-4)/10)/1. 2 Calculate (-9)/(-324)*4*2. 2/9 What is the value of 2*2 + (-28)/8? 1/2 What is the value of (-4)/5 - 5/(-175)*-7? -1 (-5)/7 - 28/(-98) -3/7 Calculate 0*-1*((-24)/(-4))/6. 0 What is the value of ((-1)/11 + (-35)/99)/(-2)? 2/9 (12/(-5))/(2/(-5)) + -6 0 Calculate (-4 - (-2 + -3))/(2/6). 3 Calculate -2 - (9/6)/(9/(-12)). 0 Calculate 14/(-3)*(-12)/8. 7 Calculate (-2)/2 - (-8 + 13 - 5). -1 Calculate 1 - ((-9)/6)/((-12)/8). 0 Calculate (1 - (-34)/(-7)) + (8 - 4). 1/7 Calculate (-9)/18*4/((-6)/3). 1 What is (-11)/(11/(-4)) - (-1 + 4)? 1 Calculate 73/(-9) - (-5 - 3). -1/9 (5 - 206/42)*7/3 2/9 Evaluate -1 - -1 - 12/(-24). 1/2 Calculate (18/5)/9 - 19/35. -1/7 Evaluate ((-6)/(-3))/(2/(-5)*1). -5 Evaluate (-14)/(-56) - (-30)/(-56). -2/7 What is 3/54 + (-1804)/3960? -2/5 (-17)/(-35) - (-23)/(2093/(-26)) 1/5 Calculate (-1 + 10)*(2/6 - 0). 3 What is 1/(-2 - (-72)/16)? 2/5 What is the value of (-160)/(-25) - 5 - 36/15? -1 (0 - (-2)/(-10)) + 156/130 1 Calculate (2 - -8)*(2 + 476/(-245)). 4/7 8/(-12) + (3 - 2/(-3)) 3 3 - ((-10 - -7) + 3) 3 What is the value of 26/(-39)*(0 - (-3)/(-6))? 1/3 What is 8/36 - (4 - 4)? 2/9 (-5)/(-10)*(48/(-10) + 2) -7/5 What is (-6)/(-1)*12/(-36) - 5? -7 What is the value of (-5)/(-15) - (-16)/12*-1? -1 Calculate 23/((-391)/136) - 258/(-32). 1/16 What is (-640)/120 + (-4)/(-3)? -4 Calculate (212/20 - 2) + (-16)/(-40). 9 What is the value of (3/(-3))/1 + 2? 1 Evaluate ((-68)/(-20) - 4) + 40/25. 1 Evaluate ((-18)/30)/(-3) + (-13)/65. 0 What is 1*(1 + 0)*1*5? 5 What is ((-2)/8)/(-7 + 945/144)? 4/7 0 - (-1 - 0) - 187/153 -2/9 What is (-7 - (-374)/55)*3/(-3)? 1/5 What is (-51)/(-18) - (3 - 1)/(-12)? 3 Calculate -10 - (-27)/42*16. 2/7 What is ((-54)/(-135))/(1/(-10))? -4 What is the value of (0 - 3)*(-1 - (3 + -3))? 3 What is the value of 2623/305 + ((-32)/5)/4? 7 Evaluate -2 - 5/(255/(-96)). -2/17 What is 9/(-15) + 4/140? -4/7 Evaluate 2052/(-285) - 1/(-5). -7 Calculate (-11 + 9 - (-36)/14)/2. 2/7 Calculate 5/(-25) + 1*(-24)/5. -5 5192/7021 - (-6)/(-7) -2/17 Calculate (-4)/(-72)*(6/(-3) + -1). -1/6 Calculate ((-8)/(-32))/((-3)/(-18)). 3/2 Calculate 4/2*(3/(-5))/(-3). 2/5 Calculate ((-2)/(-6)*1)/((-161)/138). -2/7 Evaluate 1/(-1) + -5 - 29/(-4). 5/4 Calculate (7*2/14)/((-1)/(-3)). 3 What is the value of (-11 - (-7)/1)*9/(-30)? 6/5 Calculate -3 + (777/91)/3. -2/13 What is (-3)/(-32 - 4) + (-590)/(-120)? 5 5 + 56/(-20) + -2 1/5 Calculate -3 + 3 + 1 - (-10)/(-6). -2/3 Evaluate 8/((-96)/(-20))*(1 - 4). -5 (-390)/260*(-1)/(-3) -1/2 Evaluate -3 + (2 + -4)/((-3)/(-6)). -7 Calculate -3 + (-40)/15 - (-2)/3. -5 -6 - 81/(-12) - (-4)/(-6) 1/12 1 + -4 + -1 + 1 -3 What is the value of (8 - 6)*-1*(-3)/2? 3 Calculate 11/(33/30)*4/10. 4 Calculate (-4)/34 - ((-2436)/(-119))/(-4). 5 2 - (3 + 33/(-27)) 2/9 What is the value of (-5)/((-50)/3) - (-56)/(-420)? 1/6 Evaluate 45/25 - 2 - (-2)/(-90). -2/9 Calculate (4/(-6) + 0)*9/2. -3 What is -3 + 75/24 + 0? 1/8 What is the value of (0 - -1) + (-90)/70? -2/7 What is the value of 62/16 - (-65)/520? 4 Calculate 1 - (-1 + 9/5). 1/5 Calculate 19/38 + (-3)/(-4). 5/4 What is 2*5*(-4)/(-40)? 1 What is the value of (392/63 + -6)*3? 2/3 What is (-7 + 6)*6/2? -3 Evaluate (24/56)/((-7)/(147/(-24))). 3/8 Calculate 2/(-5) + 0 + 52/(-20). -3 Evaluate 2/(0 - -2)*(-11 + 12). 1 Calculate (130/(-6))/13*3. -5 Calculate 25 + -26 + 0/2 + -2. -3 Evaluate (-114)/209 + 4/((-44)/(-5)). -1/11 What is the value of (((-44)/14)/(-1) - 3)*-3? -3/7 Evaluate (42/(-63))/((26/(-3))/2). 2/13 ((-9)/36)/((-11)/8) 2/11 Calculate (-88)/(-14) + 5/(35/(-2)). 6 What is the value of (2/5)/(30/(-50))? -2/3 (6/(-21))/(1 + (-133)/49) 1/6 Evaluate (13 + -10)/(2 - 1). 3 Evaluate ((-50)/(-60))/((-5)/4). -2/3 10/48*42/(-105) -1/12 -7*(-70)/(-294) - 16/(-9) 1/9 What is the value of (108/5)/9 + -4 + 1? -3/5 Evaluate (-2)/12*(-42)/28. 1/4 What is 3/(-3) - 4 - (0 - 1)? -4 (3/(-5))/(27/30) -2/3 Evaluate 7/2*((-40)/14 - -3). 1/2 What is (161/14 + -12)*(-24)/(-2)? -6 Calculate 7/(-21) - (-3 + 4). -4/3 Calculate
{ "pile_set_name": "DM Mathematics" }
+ 107. Determine f(v). 0 Suppose -2*u = 5*v - 7*u - 85, 5*u = -v + 11. Suppose -j - 2*c + v = 0, 4*j - 2*c - 21 = 33. Let t(q) = -2 - 6 + 2 - q**2 + 7*q - j*q. Calculate t(-5). 4 Let f(u) be the first derivative of -u**4/4 + 7*u**3/3 - 5*u**2/2 + 4*u - 4410. Determine f(3). 25 Let z(s) be the second derivative of -7*s**3/6 - s**2/2 - 90*s - 2. Suppose 16 = n + 4*h, n - 3*n + 16 = 4*h. Suppose n*j + 2*j + 2 = 0. What is z(j)? 6 Let b(i) = 2*i**3 - 2*i**2. Suppose 5*z + 5*w = 3*w + 28, -4*z + 29 = -5*w. Suppose 0*c + h = -c + z, 5*c - 3*h + 2 = 0. Give b(c). 8 Let i(u) be the first derivative of 2*u**2 + 2*u - 16. Let w = 495 + -498. Determine i(w). -10 Let d(p) = p**2 - 10*p + 14. Suppose -s + 3*g + g = 4, -s - 3*g = -10. Suppose 0 = -3*f + 3*v + 30, -6*f = -f - s*v - 50. Calculate d(f). 14 Let k(c) = c + 16. Let d be k(-12). Let i(n) be the first derivative of -2*n**2 + 1/3*n**3 + n - 22. Determine i(d). 1 Let k(z) = -2482 - 2491 + 4976 - 2*z. Let q(y) = -2*y + 4. Let u be q(-7). Suppose 0 = -0*c - 3*c - u. Calculate k(c). 15 Let t(d) = d**2 + 3*d - 2. Let q = 506 - 479. Suppose -15 = 14*c + q. Calculate t(c). -2 Let s be (3 - 2)/((-8)/280*-7). Suppose -s*l = 5*n + 60, -l + 32 = -3*l + 2*n. Let y(z) = -z - 15. Calculate y(l). -1 Let p(f) = -f**2 + 6*f - 4. Suppose -612 = 18*a - 1458. Suppose -4*c - 27 = -a. Determine p(c). 1 Let j(f) be the third derivative of f**6/240 + f**5/120 + 35*f**4/24 + 29*f**2. Let v(h) be the second derivative of j(h). Let c = 35 + -32. Determine v(c). 10 Let u(k) = -10*k - 11. Let a(o) = 41*o + 65. Let f(y) = -a(y) - 4*u(y). Calculate f(-3). -18 Let t(y) = 20*y + 1524*y**2 - 5*y - 1523*y**2. What is t(-16)? 16 Let d(q) = q**3 + 12*q**2 - q - 9. Let z be d(-12). Let o(w) = 5*w**2 + 4*w + 5*w**2 - 20 - 3*w**3 + 4*w**z - 7*w + 10*w. Determine o(-9). -2 Let w(f) = -f**3 + 3*f**2 + 17*f - 3. Let x be w(-3). Suppose x = -5*t - 4*i + 50, 10*t = 12*t - 3*i + 3. Let r(o) = -5*o + 19. Give r(t). -11 Let t(x) = 183*x - 362. Let b(s) = 4*s**3 - 71*s**2 + 16*s - 610. Let d be b(18). Give t(d). 4 Suppose -7*v + 19 + 37 = 0. Let o be (-12 + 14)/((-1)/(-4)). Suppose 8 = v*c - o. Let i(w) = -w**3 + 2*w**2 - 3*w + 1. Give i(c). -5 Suppose 10*m - 320 = -360. Let k(x) be the third derivative of -x**5/60 - x**3/6 + 6*x**2. Let r(i) = 3*i**2 - 5*i + 6. Let v(w) = 4*k(w) + r(w). Give v(m). 6 Suppose 2*m - 61 = 3. Suppose 3*s - 6*s = 4*v - m, -4*s + 21 = v. Let i(z) = 2*z**2 - 4*z - 6. Calculate i(v). 24 Let i(d) = -d**2 - 4*d - 4. Suppose 0 = 8*v - 791 - 889. Suppose -v = -15*h + 45*h. Determine i(h). -25 Let i be -2 + (4 + 0)/1. Let z be (-8)/(-18)*108/24. Let y(t) = 0*t**i + 0*t**2 + 7*t + t**2 - 1 + z. Give y(-8). 9 Let p(c) = -5*c + 11. Let u be p(-5). Let q = u + -34. Suppose -s = 3*w + 12, -2*w - 3*s = q*s - 5. Let g(d) = -d - 2. Calculate g(w). 3 Suppose 0 = 51*p - 32*p - 17176. Let c = p - 902. Let q(d) = d**2 - 2*d + 3. What is q(c)? 3 Let n be (-73)/(-3) - (-66)/99. Suppose -5*p - 75 = -2*v, v + 4*v - n = 0. Let g(d) = -2*d - 19. Calculate g(p). 7 Let l(t) = -1748*t**2 + 1 + 842*t**2 + 917*t**2 - 7*t - 2*t**3. Calculate l(4). 21 Let x(j) = -30*j - 150. Let r(g) = 75*g + 374. Let u(q) = 5*r(q) + 13*x(q). What is u(-5)? -5 Suppose 14 = 2*s - 3*x, -2 = -50*x + 51*x. Let z(v) = 6*v**2 - 18*v - 13. What is z(s)? 11 Suppose 411*d + 944 = -11797. Let v(r) = -r**3 - 31*r**2 - 8. Calculate v(d). -8 Let w(d) be the third derivative of -d**6/120 + 7*d**3/6 + 58*d**2. Let i be 10/4 + 10/20. Suppose 0 = i*r - 0*l + 4*l + 16, 4*r + 5*l + 20 = 0. Determine w(r). 7 Let j(f) = f**2 + 8*f + 2. Let k = -17418 - -17426. Give j(k). 130 Let r(b) = -b**2 + 8*b - 9. Let f = -25 + -19. Let q = 2 - f. Suppose y + 20 = 6*y + 3*l, 5*l = 3*y - q. Determine r(y). -2 Let r be 87/(-9) + 10 + (-4)/(-12). Let i(l) be the first derivative of -r*l**3 + l**2 + 10 - l. Determine i(2). -5 Let p(u) = 3 - 1 - 5*u**2 - 706927*u + 706924*u. Calculate p(-3). -34 Let m(h) = 43*h - 209. Let d = 13631 + -13626. Determine m(d). 6 Suppose 0 = -2*k - 4*p + 50, 4*p - 8*p = -5*k + 125. Suppose k*i - 28*i + 12 = 0. Let n(r) = -i*r - 1 - 6 + 6. Calculate n(-1). 3 Let u be ((-18)/(-27))/((-8)/36 - (-3)/(-27)). Let x(o) = -2*o**3 - o**2 - 4*o - 1. Let z(y) = -y**3 - 3*y. Let i(v) = -2*x(v) + 3*z(v). Calculate i(u). 4 Let v(u) be the second derivative of u**5/20 - u**4 + 7*u**3/6 + 21*u**2/2 + 1695*u. Calculate v(11). -23 Let o(k) = k**3 - 13*k**2 + 24*k - 32. Suppose 21*a + 413 = 644. Give o(a). -10 Let m be 10/4 - (5 + (-44)/8). Let t be 4/12*(-9)/m. Let v(w) = 2*w**3 - w**2 - 5*w + 4. Let x(r) = -r**3 + r - 1. Let d(h) = -v(h) - 4*x(h). What is d(t)? -2 Let w(v) = -v**3 - 3*v**2 + 44*v + 32. Let o be w(-8). Let l(b) = -b**3 + b**2 - 9*b - 3. Determine l(o). -3 Let h = -123 + 129. Let r be (0 + 6)/(-3) - -4. Let i(w) = h + 0 + 240*w**r + 3*w + 2 - 241*w**2. Give i(6). -10 Let x = 24 - 30. Let s(p) be the second derivative of -2/3*p**3 + 0 + 5/2*p**2 - 3*p - 1/12*p**4. Calculate s(x). -7 Let b(a) be the first derivative of a**5/60 - 5*a**4/24 - a**3/3 + 6*a**2 - 27. Let k(u) be the second derivative of b(u). Calculate k(5). -2 Let t = 0 + 1. Let a(c) = -239*c + 2. Let y(x) = -68*x + 1. Let q(k) = 2*a(k) - 7*y(k). What is q(t)? -5 Let q be (-10)/(-4)*(-6)/(-15)*5. Suppose 5*v - q*m = 40, 35 - 13 = 5*v + m. Let g(f) = -v*f + 16*f**2 - 5*f**2 - 5 - 6*f**2 - 6*f**2. What is g(-6)? -11 Let g(c) = c**3 + 7*c**2 + c + 7. Suppose 2 - 12 = -2*u. Let l be (-39)/u + 1 + 444/555. Determine g(l). 37 Let m(v) = -9*v + 12. Let b(c) = -16*c + 25. Let t(r) = -3*b(r) + 5*m(r). Calculate t(11). 18 Let w(z) = 2*z**3 + 15*z**2 + 6*z - 1. Let b(g) = g**3 + 110*g**2 - 223*g + 105. Let s be b(-112). What is w(s)? 6 Let g(x) = 13*x. Suppose 4*a + 13 = -q, q - a = -17 + 14. Give g(q). -65 Let c(w) be the first derivative of 118 - 109 + w**2 - 2*w - 79 + 0*w**2. Determine c(3). 4 Let p be (-1)/4 + -68*(-14)/224. Let f(t) = 12*t + t - 11*t - p*t. Let h(z) = -z**2 + 7*z. Let k be h(6). Calculate f(k). -12 Let n(w) = -48*w**3 - w. Let y(q) = 3*q**3 - q**2 - 185*q + 9. Let g be y(8). What is n(g)? -49 Let t be (-144)/20*5/3. Let k(o) = -o**3 - 12*o**2 - 4*o + 10. What is k(t)? 58 Let r(l) = l**3 + 18*l**2 + 3*l + 39. Suppose 2*c + n + 38 = 0, 0 = -5*c - 3*n - 93 - 3. Give r(c). -15 Let h(s) = -59*s + 3481. Let o be h(59). Let z(y) = -y**3 + y**2 - y - 28. Give z(o). -28 Let i(f) = 2*f**2 + 8*f - 18. Let w = 6071 + -6076. Calculate i(w). -8 Let w be ((-137)/(-548))/(-2*3/120). Let f(h) = -5*h - 5 + 2 + 0. Determine f(w). 22 Let i(l) be the first derivative of -6*l**2 - l + 5252. Give i(2). -25 Let a(c) be the third derivative of 1/12*c**4 + 0 + 16*c**2 + 0*c + 9/2*c**3 - 1/40*c**5. Let h(y) be the first derivative of a(y). Determine h(-5). 17 Let s = 254 - 254. Let m be s - (2 - -8)*(6 + -7). Let c(n) = n - 13. Determine c(m). -3 Let x(l) = -3*l - 3*l - 3 + 4. Suppose 2*y + 46 = -z + 5*z, 2*z - 2 = 0. Let q be ((-3)/y)/(2/7)*2. Calculate x(q). -5 Let h(o) be the second derivative of -88*o - 1/12*o**4 + 0 + 0*o**2 - 13/10*o**5 - 1/6*o**3. Calculate h(-1). 26 Let o(d) = 2*d**2 + 33*d + 1. Let j(v) = -11*v**2 - 201*v - 8. Let p(n) = j(n) + 6*o(n). Let g be (-1)/3 + 20/6. Determine p(g). -2 Let f(g) = -g**3 - 5*g + 6. Suppose -68 = 144*n - 212*n. Determine f(n). 0 Let d(s) be the second derivative of -1/3*s**3 + 9*s - 3/2*s**2 + 1/6*s**4 + 1/20*s**5 + 2. What is d(-3)? -6 Let z = -4/2257 + 2269/6771. Let u(b) be the second derivative of 0 + 0*b**2 + 1/6*b**3 + 8*b + z*b**4. Determine u(1). 5 Let x(n) = -n**3 - 4*n**2 - 16*n - 22. Suppose 332*i - 331*i = -4*h - 15, i = -2*h - 11. What is x(h)? 2 Let b = -17 - -19. Let x = b - 7. Let q(j) = -19*j**3 + j**2 - 9*j - 7. Let g(i) = 32*i**3 + 16*i + 13. Let n(k) = 3*g(k) + 5*q(k). Determine n(x). -11 Let u = 12431 + -12430. Let s(w) = 3*w**3 - 2*w**2 + w. What is s(u)? 2 Let l be -60 - -62 - (-1 - 0). Let x(z) = 2*z + 4*z**3 + z**3 - 4*z**l - 1 + 0*z - z. Calculate x(1). 1 Suppose -s = l - 54 + 58, 3*l = -15. Let c(h) = 3*h**2 + 2*h - 1. Calculate c(s). 4 Let s(h) be the third derivative of -h**5/60 - h**4/24 + 3*h**3/2 + 1394*h**2. Give s(-5). -11 Let p(r) = r**3 + r**2 + r + 1. Let b = 6 + -4. Let u(h) = 3*h**3 + 4*h**2 - 2*h. Let s = 5961 + -5962. Let m(t) = b*p(t) +
{ "pile_set_name": "DM Mathematics" }
3306*t + 1181952 for t. 81 Solve -153 = 434*x + 404*x - 912*x + 69 for x. 3 Solve 31185 = 265*w - 832*w for w. -55 Solve -5*v - 82990 = -82395 for v. -119 Solve -52 = 460*u - 544*u + 452 for u. 6 Solve 1288 = 144*v - 5480 for v. 47 Solve 23753*c = 23583*c + 6630 for c. 39 Solve -42636 = 4613*t - 660778 for t. 134 Solve -4068*q = 134250 - 298424 - 230422 for q. 97 Solve 693*d + 5339 = 974*d for d. 19 Solve 4670 = -80*g + 233*g + 314*g for g. 10 Solve -2470*t = -93959 - 2371 for t. 39 Solve -6919*a - 5718*a = -2312*a - 206500 for a. 20 Solve 26064 = -416*i - 150*i + 99*i - 257*i for i. -36 Solve 1156*v + 153132 = 4802*v for v. 42 Solve -64*p - 4158 = -178*p - 115*p - 2*p for p. 18 Solve 23907*i - 397880 = 212306 + 919862 for i. 64 Solve -7230*w + 263418 + 321034 = 8566*w for w. 37 Solve -5693*s - 2375*s = -777*s + 406*s + 130849 for s. -17 Solve 6597*j - 13382*j = -6647*j - 8004 for j. 58 Solve 37*a + 41600 = 4197*a for a. 10 Solve 228*b - 1395 = 419*b - 236*b for b. 31 Solve 3538 = 698*l + 524*l - 33122 for l. 30 Solve 106*m + 44*m + 75*m = -8*m - 1631 for m. -7 Solve 451423*t - 451922*t - 22954 = 0 for t. -46 Solve -13035 = -413*u + 9219 + 14916 for u. 90 Solve 1406 = 152*i - 189*i for i. -38 Solve 99 - 663 = -17*h - 171*h for h. 3 Solve 99*d + 476*d + 1281 = -12*d + 107 for d. -2 Solve -127*a - 35*a + 11431 + 71 = 0 for a. 71 Solve 1139 + 7541 = 1894*z - 1584*z for z. 28 Solve 1128*n - 2074 = -268*n - 7658 for n. -4 Solve -215*c + 365*c + 60521 + 27287 = -536*c for c. -128 Solve 11*a + 1075 = -9*a - 23*a for a. -25 Solve -67*r + 283*r + 1326 = -834 for r. -10 Solve 0 = 913*y + 106*y - 49931 for y. 49 Solve 1428*h - 2894*h - 104 = -1440*h for h. -4 Solve 104*b - 1318*b + 16284 = 1500*b for b. 6 Solve -713*z - 856*z - 3683 = -1442*z for z. -29 Solve -91*g - 6172 = -9266 for g. 34 Solve -80*k - 3219 - 16437 = 388*k for k. -42 Solve 2294*q - 18558 = 8994*q + 48442 for q. -10 Solve 107*y - 13542 = 110*y + 75*y + 105*y for y. -74 Solve 291*m + 605571 = -2339*m - 3613*m for m. -97 Solve 0 = 10363*f - 5055*f + 8926*f + 10924*f + 2339694 for f. -93 Solve 6078*g - 843693 + 296673 = 0 for g. 90 Solve -21*l - 2*l - 1135 + 548 = -817 for l. 10 Solve -55*v + 166*v = -432*v - 4887 for v. -9 Solve 67435 - 248191 = -2330*f - 100375 + 250479 for f. 142 Solve -221*o + 887*o + 34914 + 27253 = 21541 for o. -61 Solve 0 = 629*s - 19279 - 28150 + 3464 + 9999 for s. 54 Solve 154*p - 190 + 2167 = -678 - 4121 for p. -44 Solve 4357235 = 349*g + 4345369 for g. 34 Solve -116*j + 25*j - 27*j + 3*j = -1725 for j. 15 Solve 9770 = -165*f + 508*f - 1549 for f. 33 Solve -1284*z - 20790 = -98*z + 584*z - 285*z for z. -14 Solve -35*j + 55*j - 5394 = -38*j for j. 93 Solve -233*q + 1224 = -2504 for q. 16 Solve -261*g - 3569 - 7140 = 1819 for g. -48 Solve -563*u + 285*u = 1946 for u. -7 Solve 773*h - 595 = 998*h - 252 + 332 for h. -3 Solve -119*g + 27323 = 37*g + 151*g for g. 89 Solve -25*h - 37*h - 22 - 698 = -14*h for h. -15 Solve -78*o - 61*o - 29*o + 1600 = 32*o for o. 8 Solve 32*p + 1700 = -1096 - 532 for p. -104 Solve 14644 + 32954 - 1586 = -539*d - 1420 for d. -88 Solve 50*f + 303 - 148 = -245 for f. -8 Solve -16866*u + 302777 - 83519 = 0 for u. 13 Solve 73534*n - 10800 = 73309*n for n. 48 Solve 1256*m - 1114*m - 81270 = -1019*m for m. 70 Solve -4956*l + 160341 - 188365 = 270911 + 152061 for l. -91 Solve 1086*l - 30816 - 55903 = -660*l + 40739 for l. 73 Solve 0 = 1290*y + 419*y + 1127*y - 10703 - 3477 for y. 5 Solve -3560 - 125 = -238*c + 171*c for c. 55 Solve -549*z = -2213*z + 48256 for z. 29 Solve 6*j - j + 234 = 7*j - 11*j for j. -26 Solve 1249 + 447 + 2674 = 216*t - 814 for t. 24 Solve -41*b + 58*b - 30*b - 13 = 0 for b. -1 Solve -69*k = -33*k + 56*k + 61*k - 1683 for k. 11 Solve -130*u - 423 - 1875 = 4592 for u. -53 Solve -162*j - 156*j = 2742 - 834 for j. -6 Solve -742*r + 11695 + 503 + 1462 = 624*r for r. 10 Solve 6106*z = 5351*z for z. 0 Solve 18*w + 5*w - 990 = -7*w for w. 33 Solve 36600 - 15396 - 17585 = -329*t for t. -11 Solve -2105 = 702*q + 8209 + 5130 for q. -22 Solve 0 = -2163*r + 404*r + 75637 for r. 43 Solve -78 - 696 = -6*l - 0*l for l. 129 Solve -7251*y = -7085*y + 12118 for y. -73 Solve 10421*a - 11335*a - 15538 = 0 for a. -17 Solve 0 = 532*z - 8327 - 11371 - 4774 for z. 46 Solve 0 = 349*x - 36369 + 28691 for x. 22 Solve -1656 = -96*v + 2230 + 1394 for v. 55 Solve 1067*n + 520 = 1100*n - 371 for n. 27 Solve -15192 = -98*h - 310*h + 619*h for h. -72 Solve 114*m - 12*m - 2665 = 395 for m. 30 Solve -1015*h = -2019*h + 928*h + 3268 for h. 43 Solve 43984*h = 43567*h + 58380 for h. 140 Solve 0 = 856*b - 7125 - 56219 for b. 74 Solve 31*x = 449*x - 8778 for x. 21 Solve 1203*c = 665*c + 688*c - 2550 for c. 17 Solve 127*r = -616*r - 30674 + 28445 for r. -3 Solve 117401 - 25176 = -2635*a for a. -35 Solve 614*j + 29*j - 28527 = -128*j for j. 37 Solve -2219*x + 3209*x = -3015*x - 36045 for x. -9 Solve 972*h - 4350*h - 31076 - 72161 = 72419 for h. -52 Solve -399*v = 471*v - 101*v - 191*v - 34102 for v. 59 Solve -2570 = -43*u + 637*u - 7322 for u. 8 Solve 197*g + 246 - 6138 = 5257 + 2247 for g. 68 Solve 0 = -3009*r + 98514 + 271593 for r. 123 Solve -1091*z - 1198*z + 2100*z = -9072 for z. 48 Solve -685*g + 368*g = -491*g - 3828 for g. -22 Solve 40043 = 5650*b - 105471 - 199136 for b. 61 Solve -44576 = -691*g - 936*g + 458*g - 224*g for g. 32 Solve -1514*w + 2766*w + 2259*w = -323012 for w. -92 Solve 886 = 19*c + 512 + 545 for c. -9 Solve 46 - 8560 = -1503*f + 15534 for f. 16 Solve -1259*f - 28233 = -6159 + 15696 for f. -30 Solve -895*f + 14064 = -16*f for f. 16 Solve -658*k - 25250 = 10940 for k. -55 Solve 4463 = 857*k - 3319 + 926 for k. 8 Solve 57517*p - 57279*p = 2380 for p. 10 Solve 182*z - 4404 - 8421 - 998 = -355 for z. 74 Solve -765*o - 1202 - 24808 = 0 for o. -34 Solve 840 = -3273*u + 51057 + 63619 + 66179 for u. 55 Solve 6162 - 7573 = 83*b for b. -17 Solve 0 = -263*u + 902*u - 14738 - 21685 for u. 57 Solve 330*s = -375*s + 870*s - 4290 for s. 26 Solve 855*k + 30795 + 61545 = 0 for k. -108 Solve 458*b - 1165*b + 3722*b + 150750 = 0 for b. -50 Solve -19472578*u + 19472299*u = 2790 for u. -10 Solve -14044*j + 12305*j + 228106 = 75074 for j. 88 Solve 10212 + 18414 = 1101*u for u. 26 Solve 0 = -631*o - 3870 - 10073 - 7567 - 17612 for o. -62 Solve 790*n + 10998 + 29283 + 26154 = -9405 for n. -96 Solve -264*g + 4085 = 183*g + 370*g for g. 5 Solve -79*a + 734 + 916 = -229*a for a. -11 Solve -362*p - 1459 + 483 - 834 = 0 for p. -5 Solve -4844 = -225*d + 9331 for d. 63 Solve -5252 = 1011*j - 476*j + 778*j for j. -4 Solve -22*s + 1715 + 3064 - 3151 = 0 for s. 74 Solve 3069*b - 91129 = -1496*b - 173 + 4909 for b. 21 Solve -842010*o + 52049 = -841297*o for o. 73 Solve -290*f + 1610 = 64*f + 23204 for f. -61 Solve -25*b - 650 = 10*b - 48*b - 117*b for b. 5 Solve -52*k + 17*k = 1061 + 409 for k. -42 Solve -3220 + 6495 + 3367 = -123*j for j. -54 Solve 13545 = -91*y + 392*y + 23*y - 109*y for y. 63 Solve -40*z + 7*z = 631 + 425 for z. -32 Solve 7*n - 1724 = 37*n - 1604 for n. -4 Solve -113809734 + 113813997 = -49*r for r. -87 Solve -466*f - 4076 = 613*f - 60*f for f. -4 Solve -420*x = 7811 - 2771 for x. -12 Solve -22464 = -92*d - 370*d - 114*d for d. 39 Solve -93*l + 221 = 242 - 300 for l. 3 Solve -52886 = 2202*u - 202622 for u. 68 Solve 1041*y + 209*y + 102755 = 29*y + 7517 for y. -78 Solve 30*g - 38*g - 16 - 302 - 154 = 0 for g. -59 Solve -91*b + 159*b - 95*b = 45*b + 3816 for b. -53 Solve 25356 - 28596 = -60*g for g. 54 Solve 1221*m = 3139*m - 163030 for m. 85 Solve 586518*k - 586102*k - 9568 = 0 for k. 23 Solve 0 = 312*s + 377*s + 2735 + 42050 for s. -65 Solve 1138989 = -8991*k + 419709 for k. -80 Solve -1777 + 1262 + 859 = 43*y for y. 8 Solve 159*r - 5658 = 228*r for r. -82 Solve -13669*j + 12797*j + 6976 = 0 for j. 8 Solve 3440*q + 14100*q - 3521697 = -14187*q for q. 111 Solve k = 8*k + 22*k - 1218 for k. 42 Solve -51*q - 24152 = 1025*q + 13514 + 33350 for q. -66 Solve 4399602*m = 4399722*m - 6840 for m. 57 Solve 20657 = 8524*j - 166871 for j. 22 Solve 2521 - 4587 = -578*q - 9479 - 8193 for q. -27 Solve 1366*u - 1086*u + 1416*u = 76860 + 9636 for u. 51 Solve 2316*r = 2297*r - 1577 for r. -83 Solve 1951 = -105*j + 407 - 3286 for j. -46 Solve 15695*l + 756 + 606 = 155
{ "pile_set_name": "DM Mathematics" }
a. Suppose -5*s - f = -2*f - 8, -3*f = -a. What is the units digit of s? 2 Suppose -5*q + 3*q = 0. Let j = 4 - 6. What is the units digit of q + (-5)/(j - -1)? 5 Let m be (-1 + 0)*(-198)/9. Suppose -b - 5 = 4*b. What is the tens digit of b*(3 - m)*1? 1 Let i = -39 - -55. Let t = 5 - 13. Let x = i + t. What is the units digit of x? 8 Let n be 2/(-7) + (-35)/49. Let v(z) = 21*z**2 + z + 1. What is the tens digit of v(n)? 2 Let t = -22 - -37. Suppose 4*v = t + 33. What is the units digit of v? 2 Let j(u) = 3*u - 14. Let h be j(11). Suppose 0 = q - 2*t, -3*q - t + h = -2. What is the units digit of q? 6 Let v = 0 - 0. Suppose q + 2 - 3 = v. What is the units digit of q? 1 Suppose 0*b - 2*b = -d + 86, -d - 4*b + 86 = 0. What is the units digit of d? 6 Let h(u) = -u**3 + 5*u**2 + 7*u. Let l be h(6). Let n be 26/l + 5/(-15). Suppose 0 = -n*r - r + 5. What is the units digit of r? 1 What is the tens digit of (-3 - (-1 + 2)) + 82? 7 Let m(g) be the second derivative of g**5/20 - 11*g**4/12 + 6*g**2 + g. What is the units digit of m(11)? 2 Let m = -15 - -22. Let s(t) = 0*t + 3 + 2 + t. What is the tens digit of s(m)? 1 Let j(g) = -g**2 + 10*g + 10. What is the tens digit of j(9)? 1 Let u be 0 - (0 + 0) - -2. Suppose 2*r = -u*r + 12. What is the units digit of r? 3 Let n(t) = 2*t**2 - 5*t + 6. Let g = -9 - -13. What is the tens digit of n(g)? 1 Let b = -16 + 90. What is the units digit of b? 4 What is the tens digit of -76*((-32)/(-24) + (-11)/6)? 3 Suppose -5*f - 20 = 0, 3*d + 2*f = -2*d + 2. What is the units digit of d/(-3) - (-26)/3? 8 Let a = 100 - -149. What is the tens digit of a? 4 Suppose 4*o = -3*x + 24, -3*o - 11 = -2*o + 5*x. What is the units digit of o? 9 Suppose 0 = -4*f - 35 + 155. Suppose p + f = -a, 10*a + 144 = 5*a - 2*p. What is the units digit of (a/(-6))/((-4)/(-6))? 7 Let y be (2 + 1)*6/2. Let s(x) = x - 19. Let f be s(y). Let l = -1 - f. What is the units digit of l? 9 Let v = -6 + 11. Suppose v*t + 4*l = -0*l + 15, 5*t + 2*l - 5 = 0. Let z(p) = -7*p + 1. What is the units digit of z(t)? 8 Suppose 0 = -d + 11*d - 940. What is the tens digit of d? 9 What is the tens digit of (-56)/(-35)*(-30)/(-4)? 1 Suppose 0 = -8*u + 3*u + 630. What is the tens digit of u? 2 Let g(r) = 7*r + 6. Let p be g(6). Suppose 4*s - p = 5*m, 3*m + 0*m + 12 = 0. What is the units digit of s? 7 Let q(l) = l - 4. Let o = 18 - 11. Let d be q(o). Suppose -2*p - x + 21 = -0*p, -d*x = -p. What is the units digit of p? 9 Let p(c) = c. Suppose 0 = -i + 10 - 3. What is the units digit of p(i)? 7 Let v = 24 + -13. Suppose 0 = -4*y + v + 25. Let f = 17 - y. What is the units digit of f? 8 Let g = 34 - 23. What is the units digit of g? 1 Suppose 0 = -3*o + 40 + 230. What is the tens digit of o? 9 Let h = -6 - -10. Suppose -y - 3*b - 2*b + 19 = 0, h*y = b + 13. Let l = y - 2. What is the units digit of l? 2 Let o be (2/(-5))/(2/(-10)). Suppose o*y - 17 - 7 = 0. Suppose 0 = 3*w - 0*w - y. What is the units digit of w? 4 Suppose 4*f - 160 = -2*k + 614, -5*k = f - 189. What is the units digit of f? 4 Let g = -6 - -8. Suppose 0 = -5*a + q + g*q + 17, -2*a - q = -9. Suppose v = a*v - 24. What is the units digit of v? 8 Let g be 4*(-1)/2 + 4. Suppose l = -g*i + 7*i - 10, -3*l = 3*i - 24. What is the units digit of i? 3 Let p(q) = -7*q**2 + 9*q + 3. Let j = -12 + 17. Let k(c) = -4*c**2 + 5*c + 1. Let r(l) = j*k(l) - 3*p(l). What is the units digit of r(5)? 1 Let y = 21 + -13. What is the units digit of y? 8 What is the tens digit of 1/(-6) - (-605)/30? 2 Suppose 348 = 3*h - 0*h. What is the tens digit of h/6 - 3/9? 1 Suppose 3*x + 243 = 6*x. Suppose 2*y + x = 3*t - 0*y, 3*t = -4*y + 81. What is the units digit of t? 7 Let d be ((0 + 1)*-2)/(-2). Let y be d + 1 + (-11)/(-1). Suppose y = 4*w - 7. What is the units digit of w? 5 Let v(g) = g**3 + 11*g**2 + 15*g + 16. What is the units digit of v(-9)? 3 Let c(h) = h - 8. Let l be c(13). Suppose 91 = 4*t - 5*z, -94 = -t - 3*t + 2*z. Suppose -l*o + t = 4*u, -7*o + 3*o = u + 5. What is the tens digit of u? 1 Let c be (2 + 1)*(2 - 1). Let w = 3 - c. Let g = 5 - w. What is the units digit of g? 5 Let q(s) = 2*s - 9. Let i be q(6). Let c be (-1)/1*1*1. Let v = i + c. What is the units digit of v? 2 Let l(o) = -2*o - 2. Let z be l(-2). Suppose -3*g + 5*j + 94 = 0, -2*g = 5*j - z*j - 31. What is the tens digit of g? 2 Let b be -2 - (-10)/2*1. Suppose -4*m - 5*a + 11 + 1 = 0, 0 = -m + b*a + 20. What is the units digit of m? 8 Let a = -14 - -25. Let j = a - 0. What is the units digit of j? 1 Suppose -1 = r - 3. Suppose 4*p - 46 = -2*x, -r*p = 2*x - 9 - 35. What is the tens digit of x? 2 Suppose -2*m = -m - 3*g - 7, -3*m = g - 51. What is the tens digit of m? 1 Suppose -5*r + 2*r + 153 = 0. What is the tens digit of r? 5 Let i = 60 - 13. What is the units digit of i? 7 Suppose 1 = -2*c + 9. Suppose 3*x + 3*g = 132, -c*g + g - 52 = -x. What is the tens digit of x? 4 Suppose 0 = -4*f + 3*f + 7. Suppose 2*o = f*o - 65. What is the tens digit of o? 1 Suppose 0*l + 12 = 3*l. Suppose -5*w + 11 = p + 46, -l*p - 5*w = 65. What is the tens digit of 3*(-1)/(-3) - p? 1 Suppose -42 = -2*k - k. What is the units digit of k? 4 Suppose 3*p + 5*n = -8, 4*p + n + 3 = 2*n. Let o(v) = -9*v - 1. What is the units digit of o(p)? 8 Let f(s) = -6*s**3 - 9*s**2 + 9*s + 1. Let i(j) = -3*j**3 - 4*j**2 + 4*j. Let p(h) = -2*f(h) + 5*i(h). Let c be p(2). What is the units digit of 6/4*c/(-9)? 5 Suppose 0 = 4*c - 7*c + 60. Let i = -8 + c. What is the units digit of i? 2 Suppose -3*n + 302 - 26 = -3*f, 4*n - f - 371 = 0. Suppose -d + n = 2*d. What is the units digit of d? 1 Let u(s) = -s**3 + 6*s**2 + 7*s + 8. Let k be u(7). Suppose -2*z + k = 2*z. Suppose 2*f - 22 = 2*x, -1 = z*f + 2*x - 3. What is the units digit of f? 6 Suppose -10 = -q - 4*q. Let d be q + 4/(12/(-45)). Let c = d + 26. What is the tens digit of c? 1 Let a(v) = -v**2 - 6*v + 9. Let b be a(-7). Suppose 13 = 3*j - b. Let o = j + -4. What is the units digit of o? 1 Let g(m) = -m**2 - 2*m + 295. What is the tens digit of g(0)? 9 Suppose -b + 0*b + 3*d + 3 = 0, -3*b = 5*d - 9. What is the units digit of b? 3 Let d(v) = -4*v**3 - v**3 + v + 3 + v**3 + 4*v**2 + 3*v**3. Let c be d(4). Let g(z) = z + 7. What is the units digit of g(c)? 4 Let u(t) = 41*t**2 - 6*t + 10. What is the units digit of u(3)? 1 Suppose 0 = -5*t + 2*p + 190, -5*t + 169 = -p - 21. Let o = t + -25. What is the tens digit of o? 1 Suppose 3*j + 6 = -3*q, -5*j - 1 = 3*q - 3*j. Suppose 0 = 2*d - 5 - q. What is the units digit of (-116)/(-36) + d/(-18)? 3 Let r be -3 - (-1 + -1 - (-25 + 5)). Suppose -4 = -3*k + 5*m, 4*m = -25 + 5. What is the tens digit of 2/k + (-216)/r? 1 Suppose -2*k - 2*k = -8. Let n(l) = l**3 + 6*l**2 - l - 4. Let t be n(-6). Suppose -t*q = -k*p - 2 + 4, -9 = 4*q - 5*p. What is the units digit of q? 4 Suppose 5*b = 189 + 391. Suppose 0 = -4*u + 3*v + b, -v = -2 - 2. What is the tens digit of u? 3 Let u = -185 + 288. What is the units digit of u? 3 Suppose -2 = -4*h + 6. Suppose 7 = 5*d + h*c, -2*d - 2*c = -0*d + 2. Suppose -4*z + 16 = i - 28, -d*z + 4*i = -33. What is the units digit of z? 1 Suppose 5*c + 7 = 22, 5*q - 12 = c. Suppose -2*n = q*n - 50. What is the tens digit of n? 1 Suppose -5*f = 3*w - 11, -f = -3*f - 3*w + 8. Let h = f + 1. What is the units digit of 21/7*h/6? 1 Suppose v = 4, 0*g + 2*g - 28 = -5*v. Let d = 9 - 4. Suppose -h = 4*b - 2*b - d, 2*b = g*h. What is the units digit of h? 1 Suppose 4*s + l + l = 32, 3*l - 38 = -5*s. Suppose -20 - s = -o. What is the tens digit of o? 3 Suppose -p + 8 + 10 = 0. What is the units digit of p? 8 Suppose -c = -10*c + 999. What is the units digit of c? 1 Suppose x = 3 + 1. Suppose z = -x*z. Suppose o - m + 0*m = 3, 3*o + 5*m - 1 = z. What is the units digit of o? 2 Suppose -5*u - 9 = -3*r, -4*u - 6 = -5*r + 3*r. Suppose 5*k + r = j + j, -5*j = 5*k - 60. What is the units digit of j? 9 Suppose 4*u - 5*s - 247 = 0, -u + 5*s = -3*u + 131. What is the tens digit of u? 6 Let h(a) = -9*a**3 - 1. Let o be ((-1)/2)/(3/6). What is the units digit of h(o)? 8 Let n be -8 - ((-1 - -3) + 0). Let t be -2*(0 - n/(-4)). Suppose -4*o + t = -3. What is the units digit of o? 2 Suppose 0 = -p - 0*p + 88. What is the units digit of p? 8 Suppose 0 = z - 5*h - 1, 0 = -5*z - 5*h + 55 - 20
{ "pile_set_name": "DM Mathematics" }
r t. -4 Solve 3*h = 4*g + 701 - 681, -10 = -4*h + 2*g for h. 0 Solve 3*h = 9, -155*c + 5*h = -152*c - 12 for c. 9 Solve 3*g + 3*c - 12 = 0, -2*g + 35 - 27 = -c for g. 4 Solve -2*u + 8 = -2*j + 6, 15*j = -9*j + 5*u + 71 for j. 4 Solve 3*w - 3 = 0, -2*w - 248 = -8*m - 250 for m. 0 Solve -4737*q + 31 = -4*a - 4740*q, 0 = -5*a + 3*q - 32 for a. -7 Solve 3*l = 2*h + 45, -2*l - h + 187 = 150 for l. 17 Solve -54*n + 49*n + 21 = -3*z, 3*n - 3*z - 9 = 0 for n. 6 Solve 3*m + 3*o = -30, 5*m - 3*o - 244 = -310 for m. -12 Solve -15 = 5*n + 5*d, -3*n - 13241*d = -13242*d - 3 for n. 0 Solve 0 = -2*c - 2*c + 4*d - 16, -3*d = 4*c - 19 for c. 1 Solve 5*i - 69 + 79 = 4*y, 0 = 4*i + y + 29 for i. -6 Solve 8*m - 2*u - 8 = 5*m - 28, 4 = 4*u for m. -6 Solve -5*l + 5*r + 20 = 40, 0*r - 4*r = 4*l for l. -2 Solve 208*y - 20 = 196*y - 2*q, q - 8 = -5*y for y. 2 Solve 6 = 3*t + 3*p, -41 = 12*t + 11*p - 12*p for t. -3 Solve 14*b = 4*i - 38, -3*b - 3*i + 6*i - 6 = 0 for b. -3 Solve 37*x + 71*m - 114 = 33*x + 150, 3*x - m + 19 = 0 for x. -5 Solve 0 = 5*u - 4*y - 74, -2*u + 19266*y - 19276*y = 214 for u. -2 Solve 4*f - 74*b = -70*b + 28, 4*f - 36 = 2*b for f. 11 Solve -5*p + 2*c = 23, 96*p - 21 = 99*p - 3*c for p. -3 Solve 0 = z - 4*h - 1 + 7, -4*h + 2 = z for z. -2 Solve 25 = l + 3*x, -27 = -2*l - 3*x + 2 for l. 4 Solve 4*y - a = 7, -14767 = -5*y - 3*a - 14737 for y. 3 Solve 2*m + 10 = 2*u, -55 = -m - 33*u + 28*u for m. 5 Solve -a - y = -564 + 528, -3*a + y = -108 for a. 36 Solve -8*u - 128*x = -124*x + 144, -23 = u + 3*x for u. -17 Solve -2086*g + 2085*g = r - 2, 4*r = 4*g for g. 1 Solve -5*z = -4*y - 10, 615 = 3*y + 3*z + 609 for y. 0 Solve 0 = i - 3*q - 26, -18*i - 2*q = -33*i + 3 for i. -1 Solve -6*y - 11*g - 13 = -6*g, -7*y - 16 = 5*g for y. -3 Solve 4*y + 17 = -5*w, -407*y - 20 = -403*y + 4*w for y. -8 Solve 2*w - 21 = -b, -5*w + 60 = -376*b + 377*b for b. -5 Solve -573*y = -568*y - 4*m + 47, -2*y = -3*m + 37 for y. 1 Solve 1 = c - l, 63 = 58*c - 47*c + 2*l for c. 5 Solve -3*a - 2*k - 16 = 0, -4*a - k = 68150 - 68137 for a. -2 Solve 8*q - 4 = -5*z + 10*q + 9, -33 = -z + 8*q for z. 1 Solve 2*v = 201*y - 196*y - 3, 5*y - 6 = -v for v. 1 Solve -2*d - 14 = -3*n - 3*d, -103*n + 21 = -99*n - d for n. 5 Solve -5*b - 7 = -4*t - 3, -3 = -3*t - b for t. 1 Solve -95*a = 3*h - 98*a + 9, -2 = -2*a for h. -2 Solve 5*w - 2*c = 7300 - 7340, c = 4*w + 32 for w. -8 Solve 2*a - 144 = 5*m - 145, m + 0*m = 1 for a. 2 Solve o = 5*b - 27, -28*b - 65 + 83 + 138 = -4*o for b. 6 Solve -4*j = -5*m + 5, -j - 293*m = -290*m - 3 for j. 0 Solve -4113*k - 4*o - 40 = -4114*k, -5*k = -5*o - 35 for k. -4 Solve -13*q + 15*q + 20 = 2*h, 2*q = 3*h - 25 for h. 5 Solve -b = -3*n - 7, 3*b - 11882*n = -11881*n + 5 for b. 1 Solve 99*b - 100*b + 19 = -3*n - 7, 24 = -3*n for b. 2 Solve 2*z + 27*b - 23*b + 10 = 0, -2*z + 2*b + 2 = 0 for z. -1 Solve -3*r = -y + 18, -18082*y + 18079*y = -4*r - 34 for y. 6 Solve 26 - 24 = -4*g - 3*i, -g = 5*i - 25 for g. -5 Solve 3*d + 18 = -4*t, -2738*t = -2740*t + 3*d + 18 for t. 0 Solve -3*j - 18 = -3*l, 4*l + 6557*j - 6562*j - 35 = 0 for l. -5 Solve 47*u - 25 = t + 42*u, 131*u - 655 = -5*t for t. 0 Solve 3*q = 160 - 175, -4*g = 5*q + 13 for g. 3 Solve 315*o + 2*n + 2 = 320*o, -3*n - 3 = -o for o. 0 Solve 3*c - 4*a - 45 = -63, -5 = -2*c - 3*a for c. -2 Solve -12878 + 12858 = 5*i, 5*f + 34 = -i for f. -6 Solve -h + 9 = -p, 14 = -82*p + 84*p + 2*h for p. -1 Solve -5*o + 28 = -n, -7*o = n - 2*o - 22 for n. -3 Solve -676*n = -674*n - 2*b + 6, 0 = 52*n - 5*b + 250 for n. -5 Solve -908*n - 4*z = -911*n + 7, -5*n + 1 = 4*z for n. 1 Solve 66*o = -3*c + 68*o - 6, -3*c - 6 = 5*o for c. -2 Solve 2*d + 77 = 10*y + 47, -y = -5*d - 27 for d. -5 Solve m - 167 = 3*i - 161, -5*i = 5*m - 10 for i. -1 Solve 4*v + 744*u - 740*u - 8 = 0, 0 = 5*v + 3*u - 2 for v. -2 Solve -16 = -2*r - 4*i, -14*i - 22 = -8*r - 9*i for r. 4 Solve -30*g + 3*t = -32*g - 7, -2*g = -3*t + 13 for g. -5 Solve -28*i + 32*i + 3*k = 5, -8 = -2*i + 4*k for i. 2 Solve 3*v - 5*t = -12, t - 411 = -5*v - 431 for v. -4 Solve 0 = -5*c - h - 43, -5*h = -84*c + 80*c - 17 for c. -8 Solve 8298*j + 8 = 8294*j - 5*u, -5*u = -2*j - 4 for j. -2 Solve 353 = 3*k + 368, 4*s + 47 = -3*k for s. -8 Solve 6*q + 1605 - 1591 = 2*n, -2*q - 8 = -4*n for n. 1 Solve b + 4*s + 2 = 0, 390488*b - 390487*b - 3*s - 5 = 0 for b. 2 Solve 0 = -5*w + 8*p + 7, 5*p + 72 = -w + 80 for w. 3 Solve -2*m - 9*d = -7*d + 20, 2*d = -4*m - 28 for m. -4 Solve -5*n + 3*n + 52 = 7*j, 0 = 2*n - 5*j + 20 for n. 5 Solve -71*n + 30 = -66*n + 5*i, 4*i + 18 = 3*n for n. 6 Solve -552*t + 40 = -547*t + 3*v, 2*v = 5*t - 15 for t. 5 Solve 5*p = m + 20, -3*m + 36*p = 33*p for m. 5 Solve -2*k - o = -6, 38*o - 39*o = -4*k - 24 for k. -3 Solve -2*z = -g + 10, -17*g + 19*g = -13*z - 48 for g. 2 Solve -5*k = -3*v + 12, 5*k - 13 = -13*v + 39 for v. 4 Solve 5*l = 4*h - 1, 7*l + 2784*h = 2779*h - 12 for l. -1 Solve 4*y - 41*a + 380 = -137*a + 76, -9 = 3*a for y. -4 Solve -n - 5*u + 10 = -2*u, 0 = 6*n + 5*u - 247 + 252 for n. -5 Solve 2*h = -5*v - 3, h + 0*h + 5 = v for h. -4 Solve 25*a + 2*g = 27*a - 4, 5*g = 2*a - 7 for a. 1 Solve 5*i - 41*y + 5 = -26*y, 0 = -4*i + 3*y + 32 for i. 11 Solve -2*k - 6*b + 26 = -15*b - 3*b, -3*k - 2*b = 1 for k. 1 Solve 0 = 3*k + 4*v - 1, -k = 923*v - 922*v for k. -1 Solve 2*k = 4*r - 24, 1 = 3*r - 3*k - 20 for r. 5 Solve -4*w = -w - 6, h + w + 1 = 2*w for h. 1 Solve -y + g + 1 = -y, -5 = -2*y + 3*g for y. 1 Solve -39 = 6*q + 3*o, 319 = 3*q - 5*o + 358 for q. -8 Solve -2*w + 7 = -3*t, -139*w + 5*t + 43 = -120*w for w. 2 Solve 41112*o - 2*g = 41115*o + 21, -g + 22 = -5*o for o. -5 Solve 5*w = 2*g - 26, 5*g - 46*w = -43*w + 27 for g. 3 Solve 0 = -3*k - 6, 0 = -29*m + 25*m - 7*k - 14 for m. 0 Solve 77*n - 76*n = -4*y + 28, n = -y + 10 for n. 4 Solve k = -69*y + 208, 1 = -2*y + 2*k + 5 for y. 3 Solve -16 = -4*g, 98*r = 94*r + g - 16 for r. -3 Solve 2*h + 9 = w, -4*w - 85*h + 84*h = -18 for w. 5 Solve -2011*q + 2015*q - 4 = 4*b, 2 = -3*q + 2*b for q. -4 Solve f + 2*j = 0, -2*f - 26 - 7 = -14*j - 15 for f. -2 Solve 4*j = 2151*x - 2147*x - 12, -2*x = 3*j - 6 for x. 3 Solve 48*u - 49*u - 16 = 3*s, 0 = s + 4*u + 9 for s. -5 Solve 0 = 3*w - j + 10, 3*w - 95 = 4*j - 126 for w. -1 Solve -4*v = -n - 19, -25*n = 2*v - 17*n - 18 for v. 5 Solve 3*v = 5*b + 12, -3*b + 6*v = -125 + 128 for b. -3 Solve -5*w + 3*w - 4*o = 40, -110*o + 20 = -115*o for w. -12 Solve -2 = -2*r + 9*o - 8*o, -5*o = 5*r - 20 for r. 2 Solve 0 = -4*y - 453*m + 450*m - 1, 0 = 5*y - 4*m - 53 for y. 5 Solve -11788*r - c + 2 = -11790*r, -2*c + 6 = -5*r for r. -2 Solve -x + 4*s = -1566 + 1569, -3*s = 3*x + 39 for x. -11 Solve 84 - 108 = -12*x, 0 = -r + x - 4 for r. -2 Solve -8*d = c - 4*c - 8, -4*d = -c for d. -2 Solve 43*m + 12 = 44*m + 4*s, 0 = 5*m + 3*s - 26 for m. 4 Solve -3*l - 24 = 3*r, 0 = 2*r + 4275*l - 4270*l + 28 for r. -4 Solve 5*k + 510*n - 511*n = -36, 0 = 3*k + 3*n + 18 for k. -7 Solve -4623*v + 22 = -2*u - 4620*v, 4*v + 220 = -20*u for u. -11 Solve -21*f - 2*v - 8 = -19*f, -5*f - 4*v = 18 for f. -2 Solve -4*n + 4*y = 0, -78*n = -72*n - y + 7*y - 60 for n. 5 Solve -4*p + 28 = 2*k, 0 = -6*k - 3*k + 10*k + 4 - 8 for p. 5 Solve 915*g + 3*d + 3 = 916*g, 5*g + 5*d = -5 for g. 0 Solve -5*y + 84*h - 81*h = 43, 5*y - 5*h + 45 = 0 for y. -8 Solve 2*b + 25 = -61*c + 64*c, 2*b + 10 = 0 for c. 5 Solve 9*b - 14 + 29 = 4*b, 8*b = 2*i - 26 for i. 1 Solve 3*r + 34 = 5*o, 3*r + o + 28 - 24 = 0 for r. -3 Solve 78 = 5*l - 12*r, 5*r - r - 8 = -4*l for l. 6 Solve 4*d + 2*g - 2 = 0, -5*d - 9*g = -3192 + 3196 for d. 1 Solve -141*x = -9*t - 142*x - 108, 3*t + 2*x = -36 for t. -12 Solve 25 = 31*a - u, -3*a + 2*u = -u + 15 for a. 1 Solve 0 = -n - 5*v + 9, -16 = -5*n + 1320*v - 1316*v for n. 4 Solve -2*g = -2*k - 2, 0 = -3*k + 3081*g - 3080*g - 11 for k. -5 Solve -t - 22 = -45*g + 48*g, 0 = -2*t + 3*g - 8 for t. -10 Solve -15 = -u + 6*b + 19, -21 = u + 5*b for u. 4 Solve -211*w - r = -216*w + 17, -5*r - 1 = 3*w for w. 3 Solve 4*f + 2*h + 392 = 420, -2*h - 7 = -f for f. 7 Solve 3*r - 5 = 2*w, 4*w - 11*r - 6661 + 6666 = 0 for w. -4 Solve -25 = -3*n - 5*b, 4*n - 5 = 30*b - 31*b for n. 0 Solve 2*r + 5*z - 8*z + 8 = 0, -4*r + z - 44 + 38 = 0 for r. -1 Solve -20 = -15*t + c + 71, -34 = -6*t + 2*c + 4 for t. 6 Solve -5*c + t = -7,
{ "pile_set_name": "DM Mathematics" }
w(v) = v**3 + 12*v**2 + 12*v - 2. Let y be w(-9). Let b = y + -130. Calculate the greatest common factor of b and 2. 1 Suppose 0 = 4*d - 4, 2*d = -g + 32. Let j(o) = -9*o**3 - 4*o**2 - 2*o + 6. Let u be j(-2). Let y = u + g. Calculate the greatest common divisor of y and 12. 12 Let j = 330 + 260. Calculate the highest common factor of 177 and j. 59 Let k = -465 + 486. What is the highest common divisor of 112 and k? 7 Let g(v) = 10*v + 30. Let y be g(-2). Let h = -4 - -1. Let d be 516/y + h/5. What is the greatest common factor of 17 and d? 17 Suppose 576 = 40*x - 664. What is the highest common divisor of x and 62? 31 Let t = 9 - 6. Suppose 0 = t*b - 1 + 7, -4*n - 5*b - 182 = 0. Let r = n - -67. Calculate the greatest common factor of 16 and r. 8 Suppose 0 = 3*c + 227 - 251. Let y(n) = 4*n - 4. Let h be y(4). What is the highest common divisor of h and c? 4 Let f be 1 + -1 - (0 + -18). Let h be 8/(-6) - (-1824)/72. What is the greatest common factor of h and f? 6 Suppose 2*c + 126 = 5*c. Calculate the highest common divisor of c and 12. 6 Suppose q - i - 18 = 0, -3*q + 16 = 4*i - 59. Calculate the highest common factor of 112 and q. 7 Let x(f) = -f**3 - 19*f**2 + 24*f + 110. Let r be x(-20). Calculate the greatest common factor of 50 and r. 10 Suppose -112*q = -104*q - 640. What is the greatest common divisor of q and 48? 16 Let b = -4 - -6. Let p = -6 + b. Let c be (-128)/(-7) + p/14. Calculate the highest common factor of c and 6. 6 Let v(t) = -t**3 - 2*t**2 + 5*t + 3. Let d be v(-4). Let z(k) = k**2 + 33*k + 27. Let l be z(-36). What is the greatest common factor of d and l? 15 Suppose 5*n + 3*l - 214 = 89, -5*n = -4*l - 296. Suppose 7*a - 4*a - n = 0. Let t(g) = g**2 + 60. Let r be t(0). Calculate the highest common factor of r and a. 20 Let g = 1424 + 576. Calculate the greatest common divisor of 80 and g. 80 Let o = 2372 + -2353. Calculate the greatest common divisor of o and 304. 19 Suppose 9*i + 753 = 96. Let y = -59 - i. Calculate the greatest common factor of y and 70. 14 Suppose 0*z - 594 = -27*z. What is the greatest common factor of 451 and z? 11 Suppose -2*u - 8 + 2 = 0, -4*u = 5*h - 33. Suppose -3 = -2*x - 1. Let w be x*42 + 0 + 3. What is the greatest common factor of w and h? 9 Suppose -w + 634 = 5*n + 80, 3*w + 5*n - 1662 = 0. Let k = w + -155. Let g = k - 284. What is the highest common divisor of g and 23? 23 Let h = 24 - 21. Suppose 2*v + v + h*i - 117 = 0, 3*i - 151 = -4*v. What is the highest common factor of v and 102? 34 Let b(n) = n + 11. Let f be b(-9). Suppose -5*i = -f - 8. Let m = 17 - 13. What is the highest common factor of i and m? 2 Let g(h) = -64*h - 159. Let p be g(-3). What is the highest common divisor of 1914 and p? 33 Suppose -4 - 21 = 5*u. Let p(y) = 2*y + 3. Let b be p(u). Let l be 453/7 - 2/b. Calculate the greatest common factor of l and 26. 13 Let d(m) = -m**3 - 12*m**2 - 8*m - 42. Let p be d(-12). What is the greatest common divisor of p and 36? 18 Let v(r) be the second derivative of r**3/6 + 11*r**2/2 - r. Suppose -345*d = -347*d. Let t be v(d). What is the highest common divisor of 99 and t? 11 Suppose -3*g = 33 + 108. Let r = g + 335. What is the greatest common divisor of r and 32? 32 Suppose -83 = -3*d + 2*o, 0 = 2*d - o - o - 58. Suppose 0 = 23*p - 63 - 52. What is the highest common divisor of d and p? 5 Let z = 29 - 19. Let g be z - 0 - (5 + -1). Suppose 0*d - 96 = -4*d. Calculate the highest common factor of d and g. 6 Suppose 5*v = -892 + 2492. Calculate the highest common divisor of 8 and v. 8 Suppose -7*q = -153 + 62. What is the highest common divisor of q and 208? 13 Suppose 5*l + 4*f = 8*l - 71, -2*l = 2*f - 38. What is the greatest common factor of 287 and l? 7 Let r(a) = 4*a**2 - 6*a + 4. Let t be r(-7). Calculate the greatest common factor of t and 22. 22 Let b(w) = 3*w + 14. Suppose -4*f = -8 - 0. Suppose -f*k = -k - 6. Let t be b(k). Calculate the greatest common divisor of t and 8. 8 Let q be (-33)/(-6)*48 + 6. What is the greatest common divisor of 36 and q? 18 Suppose 0 = -4*g + 161 + 7. Suppose -2*f = 2*d - g, -4*d + f + 20 = -59. What is the highest common factor of d and 140? 20 Let k(q) = -q**3 + 3*q**2 - q. Let y be k(2). Suppose t - z = 3, 3*z = 2*t - 7 + 1. Suppose t*x - 9*x + 96 = 0. Calculate the greatest common factor of x and y. 2 Suppose -4*f = 2*i - 368, 2*i = f + i - 86. What is the highest common factor of f and 15? 15 Let l = 1882 - 1852. What is the highest common divisor of 3930 and l? 30 Suppose 20*q + 676 = 46*q. Suppose -3*g - 5*b + 259 = 0, 2*g + b + 0*b = 161. Calculate the greatest common divisor of g and q. 26 Let l be 4/3*(-21)/(-2). Suppose -2 - l = -p. Let t be ((-20)/30)/(21/(-9) + 2). What is the greatest common divisor of t and p? 2 Let m be (-6)/(-10) - (-4)/10. Suppose 113 - 77 = 5*g + b, 0 = 4*b + 16. Calculate the greatest common factor of m and g. 1 Let x(a) = a**3 + 13*a**2 + 30*a + 6. Let n be x(-10). Let l be (-15)/(-45) + 118/n. What is the greatest common divisor of l and 20? 20 Let i = 5 - -5. Suppose 68 = 2*a + 2*a + 4*m, 0 = -2*m - i. Suppose -19*f + 1694 = -8*f. What is the greatest common divisor of a and f? 22 Let v be (-2)/6 - 117/(-27). Suppose 2*q = v*q - 10. Suppose -q*p - 4*a = -59, -14 = -4*p + 2*p - 4*a. What is the highest common factor of 75 and p? 15 Let n be (0 + -2)*(-475)/38. Let q be 9/63 + (-44)/14. Let o be q - (-17 + (3 - -1)). What is the greatest common factor of o and n? 5 Suppose -54*y - 32*y = -1978. What is the highest common divisor of y and 46? 23 Let q = -923 + 1001. Calculate the highest common factor of q and 858. 78 Let m(i) = i**3 + 6*i**2 + 2*i - 1. Let y be m(-5). Let r be 6/y - 130/(-7). Calculate the greatest common factor of r and 209. 19 Suppose 3*j - 187 = 3*h + 251, -j - 3*h + 134 = 0. Calculate the highest common factor of 11 and j. 11 Let d(m) = m**2 + m. Let g be 2*20/(-8)*-1. Suppose 4 = -2*f - 0*f, -a + 11 = -g*f. Let n be d(a). Calculate the greatest common factor of 2 and n. 2 Let f = 140 - 91. Suppose -6*m = -4*i - m + 72, 3*i - f = 5*m. Calculate the highest common divisor of 207 and i. 23 Suppose -10 = 2*g, 5*v = 17*g - 19*g + 25. What is the highest common factor of v and 133? 7 Suppose 0 = -1045*r + 1047*r - 936. What is the greatest common divisor of 676 and r? 52 Suppose 10*c = 5*c - 535. Let q = 123 + c. What is the greatest common divisor of q and 176? 16 Suppose -6 = -4*x + 26. Let j(q) = -4*q + 4. Let s be j(-2). Calculate the highest common factor of x and s. 4 Let l = -222 + 294. Calculate the greatest common factor of 3 and l. 3 Let a be (-8)/28 - (-382)/14. Let j be 1/(-4)*240/(-20). Calculate the greatest common divisor of a and j. 3 Let a(p) = -p**3 - 9*p**2 - 20. Let k be a(-7). Let u = -114 - k. What is the greatest common factor of 1 and u? 1 Suppose 3*c - 345 = -0*c. Let k(w) = -w**3 - w**2 + w - 6. Let f be k(-3). Let o be -2 - (390/(-8) + f/12). Calculate the greatest common divisor of c and o. 23 Let p be 92/7 - 45/315. Calculate the greatest common factor of 260 and p. 13 Let n be ((-1)/(2/7))/((-2)/4). Suppose -n*v = 4*v - 55. Calculate the highest common divisor of 80 and v. 5 Let a(d) = -25*d - 122. Let f be a(-6). What is the highest common factor of 6 and f? 2 Let n be (-10)/15*-27 - 1. What is the greatest common factor of 17 and n? 17 Let p be 5/(-10)*4 - -485. Suppose 2*h + 3*a = -2*h + p, -h + 117 = -3*a. Let l be (-15)/h + 514/16. Calculate the highest common factor of 4 and l. 4 Let q be -4*(-2 + (-20)/(-8)) + 13. Let v(x) = x - 9. Let j be v(q). What is the highest common factor of 18 and j? 2 Let q be 274/8 + 1/(-4). Suppose 89 = 5*x + h, -2*x + 3 + q = -h. Calculate the greatest common factor of x and 54. 18 Suppose -4 + 53 + 43 = 46*n. Let j(o) = -2*o - 12. Let m be j(-8). Suppose m*v - 6 = 2. What is the highest common factor of v and n? 2 Suppose -3*g - 16 = -4*z, -5*g - z = -8*g - 4. Suppose g = -0*j - 3*j + 150. What is the highest common divisor of j and 75? 25 Let w be 771/12 + -1 + (-3)/(-4). What is the greatest common factor of 1664 and w? 64 Let u be 5 + -1 - -4 - 3. Suppose -u*r = -v + 4*v - 21, -r = -5*v + 7. Let l = 96 + -63. What is the greatest common factor of r and l? 3 Let r = 13 - 15. Let a be 2/(8/20) + r. Suppose -2*u
{ "pile_set_name": "DM Mathematics" }
) = -7*t**2 - 5*t - 4. Calculate -5*h(i) - q(i). 2*i**2 - 1 Let j(x) = -x**2 - 6*x + 4. Let b(d) = d**2 + 5*d - 3. Calculate -6*b(v) - 5*j(v). -v**2 - 2 Let y(b) = b + 1. Let l(p) = -p - 1. Calculate 2*l(x) + 4*y(x). 2*x + 2 Let q(b) = -30*b + 21. Let h(x) = 20*x - 14. Let f(c) = -7*h(c) - 5*q(c). Let v(j) = -9*j + 6. Give 5*f(p) + 6*v(p). -4*p + 1 Let z(l) = l**3 + l**2 - 6*l + 4. Let o(x) = x**2 - x + 1. Determine 4*o(j) - z(j). -j**3 + 3*j**2 + 2*j Let j = -145 - -136. Let a(i) = i**2 - i + 13. Let v(h) = 3. Determine j*v(x) + 2*a(x). 2*x**2 - 2*x - 1 Let g(i) = i**2. Let c(s) = 46*s**2. What is c(b) - 69*g(b)? -23*b**2 Let h(k) = -2*k**3 - 7*k**2 + 6. Suppose 6*m - 3*m - 18 = 0. Let w(t) = -t**2 + 1. What is m*w(q) - h(q)? 2*q**3 + q**2 Let p(f) = 26*f**3 - f**2 + 1. Let q(h) = -h**3 - h**2 + 1. What is p(l) - q(l)? 27*l**3 Suppose -5*h + 5*u = 40, 3*h = -h + u - 20. Let t(v) = 2*v**3. Let w(i) = -2*i**3. What is h*t(b) - 5*w(b)? 2*b**3 Let y(i) be the first derivative of -3*i**4/4 - 5*i**3/3 + 2*i**2 + 5*i + 1. Let n = -9 - -4. Let q(a) = -5*a**3 - 8*a**2 + 6*a + 8. What is n*q(o) + 8*y(o)? o**3 + 2*o Let g(c) = -3 + 0 - 6 + 5*c**2. Let o(q) = 2*q**2 - 4. Suppose 45 = 2*a + 3*a. Determine a*o(i) - 4*g(i). -2*i**2 Let h(i) = -i + 0*i - 4 - i. Let s = 27 - 24. Suppose -5*f = 25, 4*f + 7 = -2*v + f. Let c(x) = x + 3. Calculate s*h(m) + v*c(m). -2*m Let j = -34 - -23. Let m = j + 15. Let c(n) be the first derivative of n - 1. Let h(v) = -2*v - 5. Determine m*c(f) + h(f). -2*f - 1 Let y(t) = 1. Let a(c) = -3*c - 13. Give 6*a(l) + 78*y(l). -18*l Let b(a) = -2*a**3 + 3*a**2 + 2. Let w(h) = -h**2 - 1. Let f(u) = 9*u - 64. Let l be f(7). Calculate l*b(i) - 2*w(i). 2*i**3 - i**2 Let r(y) = -y - 1. Let g(j) = 4*j + 22. Calculate -g(q) - 6*r(q). 2*q - 16 Let m(p) = p**2 - p + 1. Let c(k) = 3*k**2 - 7*k + 1. Let n(d) = c(d) - 4*m(d). Let t(u) = -4*u**2 - 11*u - 11. Determine -22*n(s) + 6*t(s). -2*s**2 Let x(a) = 1. Let c be (-6)/(-3) + 12/(15/(-5)). Let m(s) = 2*s + 9. Determine c*m(j) + 18*x(j). -4*j Let t(s) = 7*s - 4*s + 4 - s**2 - 5*s. Let q(r) be the third derivative of r**4/24 - r**3/3 - 2*r**2. Determine 5*q(x) + 2*t(x). -2*x**2 + x - 2 Suppose 0 = -2*t + t + 3. Let y(c) = 1 - 7 - 3*c**t - 5*c**3 - 6*c. Let r = -187 + 181. Let w(o) = -7*o**3 - 5*o - 5. Give r*w(s) + 5*y(s). 2*s**3 Let c(n) = 5*n + 11 - 2*n - 13 - 2*n. Let w(p) = -p**3 - 3*p**2 - p + 1. Let k be w(-3). Let x(d) = d + d - 3*d - 2 + 3. Calculate k*c(o) + 6*x(o). -2*o - 2 Let a(z) = z**2. Let b(d) = -d**3 - 4*d**2. Calculate -4*a(s) - b(s). s**3 Let s(z) = 7*z - 3. Let j(k) = -8*k + 4. What is -4*j(x) - 5*s(x)? -3*x - 1 Let b(s) = -2*s**2 - 5*s - 5. Let i(v) = v + 2. Let k(c) = 2*c**2 + 8*c + 12. Let f(r) = -4*i(r) + k(r). Calculate -5*b(d) - 6*f(d). -2*d**2 + d + 1 Let o(w) = -w. Let l(y) = 4*y**2 + 22*y. Give -2*l(i) - 44*o(i). -8*i**2 Let w(n) = n + 10. Let l(a) = -a - 9. Let p(k) = 6*l(k) + 5*w(k). Let j(t) be the second derivative of -t**3/6 - 3*t**2/2 - t. Determine 3*j(v) - 2*p(v). -v - 1 Let j(u) = -u**2 + 5*u + 2. Let g(m) = 6*m**2 - 1 - 3*m**2 - 11*m - 4 + 0. Let o = 12 + -15. Calculate o*g(y) - 7*j(y). -2*y**2 - 2*y + 1 Let f(q) = -3*q - 1. Let p = -5 - -4. Let d be (0 - p) + (1 - 1). Let c(w) = -w + 0*w + 2*w. Calculate d*f(r) + 4*c(r). r - 1 Let z(w) = -w + 7. Let f be z(5). Let s be -13*3/3 + f. Let h(y) = -6*y + 10. Let i(x) = x + 1. Let d be i(-3). Let p(j) = j - 2. Determine d*h(o) + s*p(o). o + 2 Let o(l) = 23 - 13*l**2 - 14 + 2*l**2 - 17*l + 5. Let t(w) = 4*w**2 + 6*w - 5. Determine 6*o(i) + 17*t(i). 2*i**2 - 1 Let m = 35 + -31. Let p(c) = -3*c. Let b(s) = s + 4. Let h be b(-3). Let n(k) = k. What is h*p(q) + m*n(q)? q Let m(j) = 5*j**3 + 3*j**2 + 3*j. Let g(a) = -a**3 - a**2 - a. Let q be 0 + ((-6)/(-3) - 0). Suppose x - q = -x. Give x*m(n) + 3*g(n). 2*n**3 Let r(q) = -16 - q**2 + 3*q + 15 - 2*q - q**3. Let o = 15 + -14. Let p(u) = -u**2 + 1. Calculate o*r(i) + p(i). -i**3 - 2*i**2 + i Let l(z) = 2*z - 12. Let w(a) = -3*a + 25. Determine 10*l(m) + 6*w(m). 2*m + 30 Let q(b) = 2*b - 5. Let k(s) be the third derivative of -s**4/8 + 4*s**3/3 - 2*s**2. Give 5*k(g) + 8*q(g). g Let n(r) = -3*r**3 + 3*r + 5. Let v(i) = 0*i - 2 - 8*i + 1 - 7 - i**2. Let d be v(-9). Let k = d + 12. Let f(y) = 2*y**3 - 2*y - 4. What is k*f(g) - 4*n(g)? 2*g**3 - 2*g Let t(z) = -4*z + 2. Let x = -65 + 30. Let p = x + 69. Let k(y) = -23*y + 11. Determine p*t(r) - 6*k(r). 2*r + 2 Let u be ((-3)/(-2) + -1)*(12 + -8). Let r(d) = 5*d**3. Let v(g) = 81*g**3. Determine u*v(s) - 33*r(s). -3*s**3 Let q be (2/2)/(1/(-30)*3). Let p(i) = -6*i + 5. Let u(d) = -d + 1. Calculate q*u(a) + 2*p(a). -2*a Let t(l) be the first derivative of l**2/2 - l - 28. Let o = -1 - -4. Suppose -2*c - 5*x = 3*c + 15, -2 = 4*c - x. Let u(v) = v - 4. What is c*u(j) + o*t(j)? 2*j + 1 Let g(m) = -2*m**2 - 9*m - 3. Let a(j) = -j**2 - 4*j - 2. Determine 7*a(y) - 3*g(y). -y**2 - y - 5 Let s(x) = -11*x + 8. Let m(n) = -n**2 + 21*n - 15. Let z(h) = 4*m(h) + 7*s(h). Let q(b) = b**2 - b + 1. Determine 5*q(g) + z(g). g**2 + 2*g + 1 Let x(v) = v + 1. Let o(p) = 2*p**3 + 2*p**2 - 6*p - 16. Give o(s) + 6*x(s). 2*s**3 + 2*s**2 - 10 Let g(p) = -5*p + 6. Let x(i) be the first derivative of -7*i + 4*i**2 + 0*i + i**2 + 1 - 2*i**2. Determine 7*g(t) + 6*x(t). t Let q(i) = 6 - i**2 + 12 - 22. Let a(g) = -2 + 0 - 3 + 4. Let y = 1 - -4. Calculate y*a(k) - q(k). k**2 - 1 Let k(p) = -p - 3. Let f(s) = 0*s + 12 + 0*s + 0*s + 4*s. What is -2*f(j) - 9*k(j)? j + 3 Let p = -2 - 4. Let r be 7 + -4 - (1 + -1). Let a(y) = -5*y**2 + 9*y + 4*y**2 + r*y**2. Let b(c) = -c**2 - 5*c. Calculate p*a(d) - 11*b(d). -d**2 + d Let w(b) = b + 1. Suppose -49 = -5*u + 61. Suppose 4 = -2*h + 2*i, 0*i + 4*i + u = -2*h. Let y(t) = t + 6 + 7*t - 2*t. Calculate h*w(s) + y(s). s + 1 Let r(z) = 2*z. Let x(s) be the third derivative of -s**4/24 + 3*s**2 + 4. What is -r(d) - 3*x(d)? d Let v(l) = l**2 + l + 1. Let i(z) = 30*z**2 + 33*z + 33. Calculate 2*i(y) - 66*v(y). -6*y**2 Let k = 11 - 17. Let q(h) = 4*h + 2. Suppose -17*m + 29*m - 156 = 0. Let l(c) = 9*c + 4. Determine k*l(b) + m*q(b). -2*b + 2 Let j(w) = 23*w**2 - 11*w + 14. Let k(v) = -12*v**2 + 6*v - 7. What is 6*j(x) + 11*k(x)? 6*x**2 + 7 Let k(p) = 1. Let r(w) be the third derivative of w**4/4 + 3*w**3/2 + 24*w**2. Determine 9*k(j) - r(j). -6*j Let j(r) be the third derivative of r**4/12 - r**3/2 + 14*r**2. Let l(z) = -2*z + 4. Let c(m) = -m**2 - m - 2. Let h be c(0). Determine h*l(w) - 3*j(w). -2*w + 1 Let x(p) = -p - 4. Let v be (-4)/(-10) + (-215)/(-75)*3. Let u(f) = -5*f - 17. Give v*x(y) - 2*u(y). y - 2 Let r(l) = -3*l**2 + 4*l + 4. Let t(z) = -161*z + 4*z**2 - 5 + z**2 - 2*z**2 + 156*z. Calculate -3*r(b) - 2*t(b). 3*b**2 - 2*b - 2 Let f be 6/(0 - (5 + -4)). Let h(o) = 8*o**3 + 17*o - 17. Let l(z) = -3*z**3 - 6*z + 6. Calculate f*h(i) - 17*l(i). 3*i**3 Let i(q) = 2*q**2 + 2*q. Let f(t) = 3*t**2 + 4*t. What is -6*f(a) + 13*i(a)? 8*a**2 + 2*a Let p(k) be the third derivative of 3*k**4/8 + 5*k**3/6 - 3*k**2. Let m(h) = -10*h - 5. Let u(s) = 5*m(s) + 6*p(s). Let x(l) = 5*l + 6. Give -6*u(r) + 5*x(r). r Let y = 0 - 1. Let w be (-2)/(-2)*-6 + 2. Let x(k) be the second derivative of k**3/6 + k**2/2 + 4*k. Let h(m) = m**2 - 4*m - 4. What is w*x(z) + y*h(z)? -z**2 Let q(h) = 4*h + 2*h - 2*h + 9. Let m be 2 - 0 - 1*-4. Let z(k) = 2*k + 4. Determine m*q(w) - 13*z(w). -2*w + 2 Let n(q) = -q**2 + 4*q - 2. Let f(u) = 2*u**2 - 5*u + 3. Let w(c) = -c + 6. Let h be w(9). Calculate h*n(b) - 2*f(b). -b**2 - 2*b Let a(b) = -3*b**3 + 2. Let d(r) = 7*r**3 - 3. What is -5*a(m) - 2*d(m)? m**3 - 4 Let y(a) = a + 3. Let g be 46/(-14) + (-38)/(-133). Let n(u) = -2. What is g*y(k) - 5*n(k)? -3*k + 1 Let o(g) = -1 - g + 1 - 5. Let j = 11 - 6. Let x(r) = -3*r + 6. Let u(f) = 2*f - 3. Let i(w) = -5*u(w) - 3*x(w). Determine j*i(n) - 3*o(n). -2*n Let z(n) = -n - 1. Let v(x) = -25*x + 25. Calculate v(h) + 25*z(h). -50*h Let d(c) = 5*c + 9. Let h(b) = -5*b - 8. Give 6*d(i) + 7*h(i). -5*i - 2 Let v(z) be the second derivative of z**3/6 - z**2 - 10*z. Let l(d) = -5*d + 10. Determine 2*l(n) + 11*v(n). n - 2 Let z(a) = 4*a + 3 - 3*a + 3 - 5. Let i(u) be the third derivative of u**4/24 + u**3/6 - 4*u**2. What is -i(r) + 2*z(r)? r + 1 Let d(y) = y**3 -
{ "pile_set_name": "DM Mathematics" }
w: 6}. What is prob of sequence dwd? 1/28 Calculate prob of sequence ah when two letters picked without replacement from {q: 2, h: 2, a: 1, m: 4}. 1/36 Three letters picked without replacement from rrrlrlrrrr. Give prob of sequence lrl. 1/45 Calculate prob of sequence yyv when three letters picked without replacement from ymvvmy. 1/30 Three letters picked without replacement from {v: 3, k: 6, n: 4, r: 2, x: 3, c: 1}. What is prob of sequence nnc? 2/969 Four letters picked without replacement from kvvvkkkkvvkvvkkvkvv. What is prob of sequence vkkk? 35/646 Calculate prob of sequence sgq when three letters picked without replacement from ysvgqvsg. 1/84 What is prob of sequence de when two letters picked without replacement from xdxxeri? 1/42 Four letters picked without replacement from {t: 13, c: 6}. What is prob of sequence ctcc? 65/3876 Two letters picked without replacement from qmi. Give prob of sequence qi. 1/6 Four letters picked without replacement from lpyoloynlo. Give prob of sequence olyl. 1/140 Three letters picked without replacement from oykomoomyyomkyy. What is prob of sequence oyy? 10/273 Two letters picked without replacement from {u: 8, m: 2}. Give prob of sequence mu. 8/45 Calculate prob of sequence wwhh when four letters picked without replacement from ehhehwwwwhehh. 3/143 Calculate prob of sequence ihxi when four letters picked without replacement from iixiixxiihiiji. 9/1001 What is prob of sequence rh when two letters picked without replacement from rhhchccwch? 2/45 Calculate prob of sequence rrh when three letters picked without replacement from {h: 2, r: 7}. 1/6 Four letters picked without replacement from {j: 2, r: 1, w: 1, e: 1, d: 1, x: 2}. Give prob of sequence wxje. 1/420 Calculate prob of sequence bix when three letters picked without replacement from fxbpbxppxix. 4/495 Two letters picked without replacement from nnntkknnntkndnnknnk. Give prob of sequence dk. 5/342 What is prob of sequence llxx when four letters picked without replacement from fffxllxlllll? 7/990 What is prob of sequence pwe when three letters picked without replacement from ezweeewewzwwzppewwp? 7/323 What is prob of sequence eg when two letters picked without replacement from {e: 1, f: 1, g: 1, o: 5, v: 3}? 1/110 Four letters picked without replacement from {n: 1, c: 1, p: 5, v: 4, o: 1, q: 1}. Give prob of sequence pvon. 1/858 Two letters picked without replacement from {h: 2, x: 2, o: 1}. Give prob of sequence ho. 1/10 Calculate prob of sequence bn when two letters picked without replacement from {a: 4, n: 3, b: 2, f: 1}. 1/15 Calculate prob of sequence wwww when four letters picked without replacement from wwwowowoww. 1/6 Four letters picked without replacement from saaaaasaaaaass. Give prob of sequence ssss. 1/1001 Three letters picked without replacement from {r: 4, e: 4, i: 9}. Give prob of sequence irr. 9/340 Four letters picked without replacement from {k: 6, g: 7}. Give prob of sequence kkkk. 3/143 Two letters picked without replacement from {o: 2, n: 1, w: 2}. What is prob of sequence oo? 1/10 Two letters picked without replacement from nneenenyenenennnen. Give prob of sequence ye. 7/306 What is prob of sequence ut when two letters picked without replacement from puuupuuuvbtttv? 9/91 Four letters picked without replacement from wudwwddw. Give prob of sequence dwww. 3/70 Two letters picked without replacement from {x: 1, e: 1, w: 1, h: 1, i: 1}. Give prob of sequence ie. 1/20 Three letters picked without replacement from {p: 3, d: 3}. Give prob of sequence dpp. 3/20 Three letters picked without replacement from {c: 2, v: 5}. What is prob of sequence ccv? 1/21 Calculate prob of sequence tv when two letters picked without replacement from nvnnttjjjnnjnnnnnnnt. 3/380 What is prob of sequence nkh when three letters picked without replacement from kknh? 1/12 Calculate prob of sequence rrh when three letters picked without replacement from {b: 1, h: 4, r: 3}. 1/14 Calculate prob of sequence su when two letters picked without replacement from xsudxxdxdxuf. 1/66 Calculate prob of sequence beib when four letters picked without replacement from vibbvve. 1/420 Calculate prob of sequence qwss when four letters picked without replacement from dssdwddqtsgsdqssg. 1/952 Calculate prob of sequence eeeo when four letters picked without replacement from oeeeeeeoeeoeeeeeeeee. 2/19 What is prob of sequence bv when two letters picked without replacement from vvvvbbvffwvvvvvvfxvv? 13/190 Calculate prob of sequence dt when two letters picked without replacement from mttdmmtm. 3/56 What is prob of sequence vvvv when four letters picked without replacement from {v: 4}? 1 Three letters picked without replacement from wllwwwwwwlwwllwwww. What is prob of sequence lll? 5/408 Calculate prob of sequence xfcc when four letters picked without replacement from xfcvkfcl. 1/420 Calculate prob of sequence ppll when four letters picked without replacement from {p: 4, b: 1, l: 2, a: 1, s: 7}. 1/1365 Three letters picked without replacement from {q: 4, k: 1, p: 6, d: 3, b: 4, r: 2}. What is prob of sequence rbq? 4/855 Two letters picked without replacement from {p: 1, m: 3}. Give prob of sequence mp. 1/4 Calculate prob of sequence fqfq when four letters picked without replacement from {f: 3, s: 3, q: 3, u: 10}. 1/2584 Two letters picked without replacement from {i: 1, e: 1, w: 6, k: 3, b: 1, l: 1}. Give prob of sequence lw. 1/26 Calculate prob of sequence aeag when four letters picked without replacement from caccgxcabexec. 1/4290 Three letters picked without replacement from {z: 2, g: 2, a: 1, u: 7}. Give prob of sequence uzg. 7/330 What is prob of sequence hh when two letters picked without replacement from {h: 3, z: 13}? 1/40 Three letters picked without replacement from mwxmwggmxxxxiiw. What is prob of sequence www? 1/455 Calculate prob of sequence cch when three letters picked without replacement from xycchccgc. 5/126 Four letters picked without replacement from {g: 10, x: 3, f: 2}. Give prob of sequence fgxf. 1/546 What is prob of sequence bbz when three letters picked without replacement from {j: 5, z: 9, t: 3, b: 2}? 1/323 Four letters picked without replacement from zzzazzzzzzzzz. Give prob of sequence zzza. 1/13 Three letters picked without replacement from {k: 2, a: 1, n: 2, j: 1}. Give prob of sequence knn. 1/30 Three letters picked without replacement from bksddbg. What is prob of sequence sbk? 1/105 Four letters picked without replacement from oyaoa. Give prob of sequence aoay. 1/30 Two letters picked without replacement from thuhxhxuxxthxhuhtx. Give prob of sequence xx. 5/51 What is prob of sequence aaa when three letters picked without replacement from {a: 4, n: 15}? 4/969 Four letters picked without replacement from {n: 2, c: 3, i: 4, t: 2, v: 1}. Give prob of sequence tici. 1/165 Calculate prob of sequence vev when three letters picked without replacement from {v: 3, e: 8, n: 6}. 1/85 Three letters picked without replacement from lkbyotkykyl. What is prob of sequence otk? 1/330 Two letters picked without replacement from {a: 2, x: 3, r: 7}. Give prob of sequence xa. 1/22 Three letters picked without replacement from {n: 4, b: 4, j: 3}. Give prob of sequence nnj. 2/55 Calculate prob of sequence jjv when three letters picked without replacement from {i: 2, v: 3, j: 3}. 3/56 Calculate prob of sequence ww when two letters picked without replacement from wrwrrw. 1/5 Four letters picked without replacement from {r: 8, k: 3}. Give prob of sequence krrr. 7/55 Two letters picked without replacement from bmymz. Give prob of sequence bz. 1/20 What is prob of sequence bcbb when four letters picked without replacement from {c: 10, b: 10}? 20/323 Three letters picked without replacement from eeeehnhennnnene. Give prob of sequence ehh. 1/195 Three letters picked without replacement from {q: 4, p: 4, m: 3, v: 6}. What is prob of sequence mvp? 3/170 What is prob of sequence rgk when three letters picked without replacement from {i: 1, r: 1, k: 1, l: 1, g: 3}? 1/70 Calculate prob of sequence aatm when four letters picked without replacement from abyratmt. 1/420 Calculate prob of sequence pcc when three letters picked without replacement from pppcppppppccppcpcc. 5/68 What is p
{ "pile_set_name": "DM Mathematics" }
- 3) - 2*w**3 + 2*w**3 - w**4 + (-4 + 4 - 2*w)*(w**3 + w**3 - 4*w**3). 1123*w**4 Expand (2*h - 2*h - h)*(8 - 2 - 1)*(-286 - 732 - 601). 8095*h Expand (3 + 2 - 4)*(-358*r + 255*r - 1 + 584*r) + 3*r - 5*r + 4*r + (-1 + 1 + 2)*(r - r + 2*r) + 2 + 2*r - 2 + 0*r + 6*r - 5*r - 2*r + 3*r - 3*r. 488*r - 1 Expand (695*z**4 - 243*z**4 - 942*z**4)*(6 - 4 + 2*z - 3). -980*z**5 + 490*z**4 Expand (-29*m**3 - 3*m**3 + 0*m**3)*(-1 + 2 + 17)*(2*m - 3 - 1 + 1). -1152*m**4 + 1728*m**3 Expand (1 - 1 + 2*m**2)*(101*m - 102*m - 155*m**2 - 73*m**2 + 7). -456*m**4 - 2*m**3 + 14*m**2 Expand (0 + 3 - 2)*(-2 + 2*p + 2)*(-437904*p - 1927*p**3 + 437904*p). -3854*p**4 Expand 3*q**2 - 3*q**2 - 2*q**2 + (55 - 865 - 1667)*(q - q + 3*q)*(2*q - 3*q + 2*q). -7433*q**2 Expand (-p + 2*p - 3*p)*(2 - 3 + 0) + 2*p - 7*p + 3*p - 1031 + 1031 + 179*p + (2 - p - 2)*(-4 + 5 + 1). 177*p Expand (-6 + 2 + 1 + 2*c)*(596*c + 1 + 1336*c + 9107*c). 22078*c**2 - 33115*c - 3 Expand (-233*y**4 + 280*y**4 + 553*y**4)*(-3 + 4 - 4) - 2*y**3 + 2*y**3 - y**4 + (-3*y + 4*y - 3*y)*(0*y**3 - y**3 + 0*y**3) + 0*y**4 - 2*y**4 + 0*y**4. -1801*y**4 Expand -3*p**2 + 0*p**2 + 6*p**2 + (-2 - 2 + 6 + 0 + 3 - 4 + 0 + 1 + 0 + (-1 + 3 - 3)*(0 + 0 + 1) - 2 + 3 + 1 + 149 - 50 + 94)*(2*p + p**2 - 2*p). 199*p**2 Expand (-1 + 1 + z + 2)*(-438 + 1317 + 2694)*(11*z**4 + 7*z**4 - 17*z**4). 3573*z**5 + 7146*z**4 Expand (0*t + 0*t - 2*t**2)*(12 - 26 + 55) + 103 - 80*t**2 - 103 + (-1 - 2 + 2)*(-t**2 - 2*t + 2*t). -161*t**2 Expand (2*c - 3*c - c + (2 + 1 + 1)*(-3*c + 5*c - 5*c))*(-45 + 19*c + 45). -266*c**2 Expand 15648*k**4 - 14775*k + 14775*k + (5*k**3 - 2*k**3 - 4*k**3)*(-2*k - 2*k + 5*k) + 0 + 0 - 2*k**4. 15645*k**4 Expand (5*i - 3*i + 0*i)*(26*i**3 - 1 - 52*i**3 + 30*i**3 - 5*i) + 3*i**4 + 0*i**4 + 0*i**4 + (-3*i**2 + 3*i**2 + i**3)*(-i + 0 + 0). 10*i**4 - 10*i**2 - 2*i Expand (-39 + 56 + 38)*((0 - l + 0)*(-5 - 3 + 6) + (2 + 0 - 3)*(-4*l + 5*l + 4*l) + 3*l - 5*l + 4*l). -55*l Expand -18*g**2 + 67 - 67 + (-3 + 2 + 3)*(-g**2 - 1 + 1 + g - g**2 - g + (3*g + g + 4*g)*(4 - 4 - g)) + (-1 + 2*g + 1)*(-3*g + 0*g + 5*g). -34*g**2 Expand -2*v**4 + 3*v**4 - 2*v**4 + (-15 - 2 + 26)*(939*v**4 - 544*v**4 - 771*v**4). -3385*v**4 Expand 0*a**3 + a**3 + 0*a**3 + (-7 - 7 + 5)*(2*a**3 - 3*a**3 + 0*a**3)*(391 - 155 - 81). 1396*a**3 Expand 5420*s - 96*s**2 - 5420*s + (21*s - 21*s + 21*s)*(-s + 0*s + 2*s). -75*s**2 Expand (-3*q**2 - q**2 + 5*q**2 + (3*q + q - 5*q)*(29*q - q - 11*q))*(0*q + q - 2*q)*(-q - 5*q - 13*q). -304*q**4 Expand (g**2 - 3*g + 3*g + (4*g + 2*g**2 - 4*g)*(0 - 1 + 0) + 1 - 1 + 2*g**2 - 6*g + g**2 + 6*g)*(-33*g - 1476 + 1476). -66*g**3 Expand ((-1 - 2 + 2)*(-l - 3*l + 2*l) + 49 + 44*l - 49)*(-17 - 9 + 53). 1242*l Expand 1 + s**3 - 1 + (0*s - 3*s + s)*(s - s - 3*s**2) + s + 77*s**3 - 113*s**3 + 11 + 35*s**3. 6*s**3 + s + 11 Expand ((-3 + 1 - 1)*(4*u - 2*u - u) + 5*u - 14*u + 6*u)*(-u**2 - 4*u + 2*u + u)*(5*u**2 - 7*u**2 - 12*u**2). -84*u**5 - 84*u**4 Expand (-11 - 43 - 7)*(7 - 5 - 4 - 5*m) + (3 - 6 + 1)*(-2*m - 2*m + 3*m). 307*m + 122 Expand (21 - 11 - 12 - 90*k**2)*(4*k - k**2 - 4*k + 2*k - 2*k - k**2 + (-k + 0*k + 3*k)*(-2*k + 0*k + 3*k) - 23 - 2*k**2 + 23)*(-3 - 4 + 5). -360*k**4 - 8*k**2 Expand n**4 - 2*n**4 + 3*n**4 + (-n**3 + 3*n**3 + 4*n**3)*(9*n + 9*n - 5*n) + (4 - 4 - n)*(n**3 + 3*n**3 - 5*n**3) - n**4 + 14*n**4 - 8*n**4. 86*n**4 Expand 3*r + 2*r - 3*r + 6*r - r - 3*r + (-r + 0*r + 2*r)*(-1 + 2 + 0) - 16*r + 11*r + 9*r - 12*r - 93*r - 109*r. -205*r Expand v**2 - 2*v**2 - v**2 + (v - 2*v - v)*(34 - 35 + 3*v + 14) + (0*v + 0*v + v)*(2*v + v - 5*v). -10*v**2 - 26*v Expand (-94 + 230 - 114)*(353 - 353 - 38*v)*(-2 + 1 - 3). 3344*v Expand 0*i**4 + i**4 + i**4 + (0 + 0 - 1)*(2*i**4 - 3*i**4 + 0*i**4) + 2*i + 948842*i**4 - 2*i - 943095*i**4. 5750*i**4 Expand (-3 - q**2 + 3)*((2 + 3 - 4)*(2 + 3 - 3) - 3 + 2 + 5) + 46*q**2 - 50*q**2 - 68*q**2 + (-2 - 1 + 1)*(-3*q**2 + q**2 + 3*q**2). -80*q**2 Expand 0*d**2 + 0*d**2 + 24115*d**4 - 25072*d**4 - 4*d**4 + 6*d**4 - 3*d**4 + (4*d**2 - 4*d**2 + 2*d**4)*(2 + 0 - 3). -960*d**4 Expand (17*x + 34*x - 4*x)*(x - 3*x + 0*x)*(-154*x + 3893 - 3893). 14476*x**3 Expand -s + 3 - 3 + 3*s - 3*s + 2*s + (2*s - s + 0*s)*(0 + 2 + 0)*(-3 + 2 - 2) + (-1 + 2 - 2)*(23 - 26*s - 23). 21*s Expand (-i**4 - 3*i**4 - 4*i**4)*(-15 - 932*i + 930*i - 51). 16*i**5 + 528*i**4 Expand (-1 + 48*g**2 + 1)*(-2*g**2 + g**2 - g**2 + (-1 + 4 + 1)*(2*g**2 + 3*g**2 - 6*g**2)). -288*g**4 Expand (70*t**4 - 19*t**4 + 60*t**4)*(14 - 31 + 46*t + 13) + t**4 + 2*t**5 - t**4. 5108*t**5 - 444*t**4 Expand (782 + 3724*x**2 - 782 - 12*x + 12*x)*(-11*x + 5*x - 7*x). -48412*x**3 Expand -411 + 411 + 5*f + 0*f - 5*f + 4*f - 1 + 1 - f + 0*f + 4*f - 3*f + (-3*f + f + 3*f)*(-3 + 6 - 1) - 2*f + 4*f - f + (0 - 2 + 0)*(-f + 5*f + 0*f). -f Expand (-2*q + 0*q + q**2 + 3*q - 2)*(2*q - 2*q - 2*q)*(23 + 69 + 2). -188*q**3 - 188*q**2 + 376*q Expand (0*y + 4*y - y)*(4 - 4 - y) + 2*y**2 + 565*y - 773*y + 787*y - 1. -y**2 + 579*y - 1 Expand -210 + 210 + 3*r**4 + (2*r + 10*r + 7*r)*(0*r**3 + 4*r**3 - 2*r**3). 41*r**4 Expand (2*i**2 + i**2 - i**2)*(4 - 3 - 2) + (-3*i + 7 - 7)*(-1 - 2 + 4)*(-38*i - 64*i - 62*i). 490*i**2 Expand (-3 + 3 + 1)*(133*a - 156*a - 178*a + a**2). a**2 - 201*a Expand (6*m**2 + 8*m - 8*m + (0*m + 3*m - 4*m)*(-4*m + 5*m + m) + 2*m**2 + 2*m**2 + 2*m**2)*(41*m + 1365 - 1365). 410*m**3 Expand (-r - 3*r + 2*r)*(249*r - 59*r + 135*r)*(-1 + 2 - 3)*(-1 + 2 + 1). 2600*r**2 Expand ((2 - 2 + i)*(-54*i - 72*i + 18*i) - 5*i + i**2 + 5*i)*(3*i - 11 + 11). -321*i**3 Expand (5 - 4 - 3)*(-633*n - 335 - 2*n**2 + 316*n + 316*n). 4*n**2 + 2*n + 670 Expand (3*c**3 - c**3 - 4*c**3)*(2221 + 2215 - 4436 - 5480*c). 10960*c**4 Expand (65629 - 65629 + 449*m)*(208*m**2 - 131*m**2 + 46*m**2). 55227*m**3 Expand 16*f**4 + 9*f**3 - 2*f**4 - 12*f**3 + (66*f**3 + 8*f**3 + 29*f**3)*(2*f + 0 + 0). 220*f**4 - 3*f**3 Expand (-j**2 + 2*j**2 + 3*j**2)*(119 - 2*j - 3*j - 123)*(0 + 1 + 3) + 2*j**3 + 2*j**3 + 0*j**3. -76*j**3 - 64*j**2 Expand (2 - 5 + 7)*(15*a - 38*a - 20*a) + 3*a - 3*a - 3*a. -175*a Expand (-2 + 0 - 1)*((7 - 18 - 12)*(1 - 1 - 1)*(-7 + 3 + 1) - 3 - 3 + 7)*(-215 + 215 + 16*v). 3264*v Expand (13*s - 46 + 46)*(-1 + 0 + 2)*(-2*s + 8*s - 2*s) + 4*s**2 - 4*s**2 - s**2. 51*s**2 Expand (b - 4*b + b)*(0*b - 2*b + b) + 0*b**2 - b**2 + 0*b**2 + (8 - 8 - 3*b)*(11 - 7*b - 11). 22*b**2 Expand (111 - 36 + 24)*(-q - 5*q + 4*q)*(-140*q - 142*q + 283*q - 3*q**2). 594*q**3 - 198*q**2 Expand (1187 + 197 + 102 - 511 + 1044)*(-6*g**5 - 16*g**5 + 6*g**5 + (-6 + 3 + 2)*(-2*g**5 + 7*g**5 - 3*g**5)). -36342*g**5 Expand -131588 + 131588 - 1346*c**4 - 3587*c**4 - 2*c**4 + c**4 + 3*c**4 + (0*c**2 + 3*c**2 - 4*c**2)*(4*c**2 - c**2 - 2*c**2). -4932*c**4 Expand (-5 + 6 + 0)*(2*n + 0 + 0) + 1819*n - 760*n - 605*n - 7*n + 4*n + n + (-2 - 3 + 4)*(-2*n + 3*n + n). 452*n Expand (-66238*w**5 + 42559*w**5 + 32405*w**5)*(-3 + 1 + 1 + (2 - 3 + 0)*(-5 + 4 + 2) + 1 + 1 + 1). 8726*w**5 Expand ((-x + 2*x + x)*(7*x - 3*x + 2*x) - 123*x**2 - 131*x**2 + 219*x**2)*(3*x**3 - x + x). -69*x**5 Expand (-180*m**3 + 106*m**3 - m + 64*m**3)*(m**2 + m**2 + 0*m**2 + (m + 3*m - 2*m)*(-9*m + m + m)). 120*m**5 + 12*m**3 Expand (-14*y**4 - 32*y**4 - 8*y**4)*(3 - 3 - 4*y + (1 + 0 + 2)*(-3 + 2*y + 3)). -108*y**5 Expand (3 + 0 - 5 + (4 - 3 - 3)*(-3 + 1 + 0) + 1 - 2 + 4)*(-2*n**2 + 3*n**2 - 2*n**2) + (-24 + 184 - 15)*(-2*n**2 - 3*n**2 + 3*n**2) - n**2 - 2*n**2 + 2*n**2. -296*n**2 Expand (-k + 2*k + 0*k)*(-29*k - 78*k - 121*k)*(0 + 0 - 2)*((-3 + 0 + 4)*(2 - 3 - 1) + (4 + 4 - 6)*(-2 - 2 + 3) + 1 - 3 + 1 + 1 - 3 + 1). -2736*k**2 Expand (-2 + 0 + 0)*(1185*s - 1666*s - 1766*s - 1709*s - 435*s)*(0*s**2 - 2*s**2 + 4*s**2). 17564*s**3 Expand (-y**3 + 3*y**3 - 3*y**3)*(3*y + 0 + 0)*(-2 + 2 - 1)*(-429 - 421 + 756). -282*y**4 Expand (-277 + 480 + 92)*((-3*k + k + 0*k)*(2 - 2 - 2) + 0*k + 0*k - k). 885*k Expand (72 - 51 + 22)*(-71 + 11*b + 71)*(-4*b - 2 + 2)*(0 - 1 - 1). 3784*b**2 Expand (33 - 33 + 92*j)*(-j**2 - j**2 + 0*j**2)*(0*j + 7*j - 2*j) - j**4 - 2*j**4 + 5*j**4. -918*j**4 Expand 0*r**4 - 3*r**4 + r**4 + (-282*r**3 + 384*r**3 - 1294*r**3)*(-r + 5*r - 2*r). -2386*r**4 Expand -4*c**2 + c**3 + 4*c**2 + (3*c**2 - c**2 - 3*c**2)*(2*c + 0 + 0) + (-2320*c - 131 + 131)*(0*c**2 - c**2 - c**2). 4639*c**3 Expand (3*d + d - 5*d)*((-2 + 2
{ "pile_set_name": "DM Mathematics" }
at is 6415123 take away 144? 6414979 Put together 1109923 and 42. 1109965 Work out 1 + -11290778. -11290777 Calculate -1219317 - 0.6. -1219317.6 What is 91.7 - -41514434? 41514525.7 Work out -69698.999 - 5. -69703.999 Put together -4 and 10382969222. 10382969218 What is -21946 take away 2472? -24418 What is -2207.8551 + -40? -2247.8551 What is 1660079 minus 2125? 1657954 Calculate -1.11 - 26523.81. -26524.92 Subtract 10694 from -20624. -31318 Calculate 0.5 + 1683613. 1683613.5 What is the distance between -949 and -29693? 28744 Work out 0.0085887 - 128.9. -128.8914113 Add together -8978062 and 0.06. -8978061.94 What is the distance between 0.33 and -1638866? 1638866.33 Add together 134 and -0.2069645. 133.7930355 Work out 1.6 + 89.7964. 91.3964 Calculate 911.8 + 25411. 26322.8 What is 0.3 + 145803137? 145803137.3 What is the difference between 450 and 113.35? 336.65 What is -0.9 - 429891.071? -429891.971 What is the difference between 51335276 and -6.5? 51335282.5 Put together -726.5 and 0.0449. -726.4551 What is the difference between 0.06555 and 26670? 26669.93445 Add together 0.0824 and -0.11475876. -0.03235876 Put together 2 and 214256494. 214256496 Work out -0.19 - 254.7598223. -254.9498223 What is -0.5 take away -38579494? 38579493.5 What is -70285.6 - 0.044? -70285.644 What is -5706.026 - -2281? -3425.026 -132.468 - 0.9359 -133.4039 What is the difference between -326.9954869 and 5? 331.9954869 Work out -72.89 - -5.808. -67.082 Sum 3942461 and 1158. 3943619 Add -0.0236 and 1644578. 1644577.9764 What is 416 - -645402? 645818 Put together 2579.8678 and -25.2. 2554.6678 Subtract 25843 from -3868. -29711 What is -4 plus 1814.987? 1810.987 What is 0 - 37.85153? -37.85153 What is the distance between -1268118 and 4? 1268122 What is the difference between 817778.601 and 1? 817777.601 0.1+-13.402527 -13.302527 What is -290.79 take away -452? 161.21 Work out 13.8232154 + 4. 17.8232154 What is 551333.19 + 5? 551338.19 What is 4432787 - -1.1? 4432788.1 What is the distance between -11567 and -0.2? 11566.8 Put together -403 and 97573. 97170 Add together 275.949 and -353. -77.051 What is 352 minus 0.0867645? 351.9132355 Add together -266.54214 and 0.242. -266.30014 What is the distance between -2702.52 and -43960? 41257.48 Work out -0.012 - 0.544948. -0.556948 Put together -1.3 and -696847. -696848.3 Calculate 6 + -14089764. -14089758 Work out 71520.4 - -0.0238. 71520.4238 What is 201.471 less than 17059? 16857.529 What is 880689 less than 316? -880373 What is 4 - 67245.593? -67241.593 -4.06 + 124086 124081.94 What is the difference between 3 and 2790.33069469? 2787.33069469 Add 47 and -1148114.25. -1148067.25 Subtract 919270 from 0.6133. -919269.3867 Subtract 274798 from 127. -274671 Put together -0.04 and -9564316.034. -9564316.074 What is -7610 minus 6866? -14476 Work out -4 + 20576788713. 20576788709 Work out 191961.73 + 5. 191966.73 What is 290411 less than 216887? -73524 -1413 + -909.4 -2322.4 Total of -65244 and 273. -64971 Add together -0.15 and 3.622697. 3.472697 What is 2905 plus 173.059? 3078.059 Calculate -182.9777667 - 0.4. -183.3777667 Calculate 0.3 - -33756.86. 33757.16 4.8673 + 1.277 6.1443 11 + -57033.1439 -57022.1439 2.04+-872447 -872444.96 Calculate -56.55132 - 130.49. -187.04132 189810473+-0.35 189810472.65 What is -0.2 take away 499625039? -499625039.2 What is the distance between 0.03703685 and -0.0739? 0.11093685 What is 0.07 less than 208775.6876? 208775.6176 -0.7 + -9.07741 -9.77741 Subtract 560732 from -2. -560734 Put together -175 and -162.7. -337.7 Calculate 832254562 + -0.9. 832254561.1 Sum -737190.725 and 70. -737120.725 Subtract 4.632 from -9087. -9091.632 What is 4 plus 528069.26? 528073.26 What is 15.28392 plus -0.36? 14.92392 Add together 10.4672316 and -0.15. 10.3172316 Calculate -0.142 - 7524331. -7524331.142 -2.323814+195.8 193.476186 0.06+2046972837 2046972837.06 969104716 - 5 969104711 1.68+-759930.27 -759928.59 What is 5.9 - -129551? 129556.9 Sum 1658.934543 and -73. 1585.934543 What is -846 + -1009.8? -1855.8 -9742296+0.3008 -9742295.6992 Work out -378801 - -4910. -373891 Calculate -13.773 - 152.5. -166.273 Add together -5 and 188486914. 188486909 Subtract -2 from -25517.501225. -25515.501225 Add together 23345.7644 and -165. 23180.7644 What is -17 minus -2210949291? 2210949274 Put together 0.491 and -196097947. -196097946.509 What is 30.142 less than 7527? 7496.858 Calculate -0.07 + -487846293. -487846293.07 Put together 30 and -5691106. -5691076 What is the difference between 2 and -127413893? 127413895 What is 0.5 + -411630665.8? -411630665.3 Put together 686 and 4934410.7. 4935096.7 What is 3.9 take away 714326.7? -714322.8 Add 14.7 and 33016.4. 33031.1 0.0438482 - -2369 2369.0438482 What is 0.1 take away -6750.96? 6751.06 Calculate 0.14298 - -24.4. 24.54298 What is 344.618 less than 174? -170.618 Calculate 0 - 45.55539. -45.55539 What is -3.243672 less than -2? 1.243672 Work out 0.6 - -89113800. 89113800.6 -22964 + 380990 358026 What is -605260498 + -4? -605260502 What is the distance between 1.51 and 24667233? 24667231.49 42 - 1066486 -1066444 What is -484104 minus 9? -484113 What is 444462585 minus -0.2? 444462585.2 What is 0.00366 plus 342250? 342250.00366 Add together 3.3675 and 0.316. 3.6835 -2.4159 - -0.217 -2.1989 What is -57 plus -8203040? -8203097 Work out 285.67 + -566.4. -280.73 Add together -44259 and -942637. -986896 Work out 138381134 - 0. 138381134 -1425 + -18936.613 -20361.613 Calculate 3932 - 4071. -139 Put together -4.81 and -8449. -8453.81 Work out -4359794 + 4.51. -4359789.49 What is the difference between 217.47 and 176? 41.47 -224.349 - -4312 4087.651 Calculate 813.76584 + -4. 809.76584 Add -6.2 and -48.729. -54.929 Total of 4.0869 and 68. 72.0869 What is the difference between 77175110 and -3? 77175113 What is 1072 - 16.231916? 1055.768084 Add together -4 and 6355569.5. 6355565.5 Work out 0.496 - 8.36304. -7.86704 What is the difference between 4179.00668 and -0.7? 4179.70668 What is -5.501889 plus -0.091? -5.592889 Subtract 35148.2385 from 1. -35147.2385 What is -372831 take away 43? -372874 What is the difference between -5 and 189166368? 189166373 Calculate -27172494 - -25.2. -27172468.8 What is -3 take away 81.4622328? -84.4622328 Sum -5.3014475165 and -0.4. -5.7014475165 Total of 568995.7 and -0.2. 568995.5 What is the difference between 288.3047 and 1.421? 286.8837 Add 659910 and -0.1. 659909.9 What is 0.01933038 + -1261? -1260.98066962 -176.192+-262 -438.192 What is 23606 + -19.5? 23586.5 What is -1.1 - 0.03952? -1.13952 Work out -4.3144 + -3706. -3710.3144 Calculate 0.14 + -0.24600728. -0.10600728 What is 177245296574 plus 2? 177245296576 Work out -365.7339 - 0.628. -366.3619 What is 1.3 + -0.104658444? 1.195341556 Add -0.02702807 and 10937. 10936.97297193 Add together -4228990 and 1311. -4227679 Add together -4685530 and -115.5. -4685645.5 What is the difference between 5866.6 and 178930? 173063.4 Calculate -5 - 1994356. -1994361 What is -656715.6 - 261? -656976.6 Work out 867 - 0.1014638. 866.8985362 Add together -0.1606482 and 12. 11.8393518 Calculate -7.4444 + 57. 49.5556 Sum 9 and 447744.5. 447753.5 What is 35430244.1 minus 0.4? 35430243.7 Work out 3 - -8115028916. 8115028919 What is the difference between -518.92 and 2296? 2814.92 Subtract -0.5 from 27519604. 27519604.5 What is 464334.28 less than 0.5? -464333.78 What is 36092 + -1.73? 36090.27 Sum -285 and -0.3901935. -285.3901935 What is 0.3 less than 41877.021? 41876.721 -0.28576 + -6.41 -6.69576 Subtract -0.315 from 3158049. 3158049.315 What is the distance between -1 and -15245144? 15245143 Add -1518 and 8466. 6948 Total of 1467271 and 207.3. 1467478.3 -659601 - -18.3 -659582.7 Work out -1 + -556420807.2. -556420808.2 0.3 - 7809530020 -7809530019.7 Subtract 2512324.642 from -3. -2512327.642 What is the distance between -5 and -13303.593? 13298.593 What is 1227172712 plus 0.5? 1227172712.5 Total of 0.2 and -365728161. -365728160.8 What is the distance between 504.396 and -35.4? 539.796 What is -621.5122 less than 484? 1105.5122 Add 1.9138 and 21.39112. 23.30492 Work out -84.22 + 0.80516. -83.41484 Work out 57 + -4150408. -4150351 Work out -6.4 - -0.00725. -6.39275 What is -0.4 take away -0.0562201907? -0.3437
{ "pile_set_name": "DM Mathematics" }
, -1201? -1700 What comes next: -719, -701, -657, -575, -443, -249? 19 What is the next term in -51, -65, -95, -147, -227, -341, -495? -695 What comes next: -25, -105, -319, -733, -1413, -2425, -3835, -5709? -8113 What comes next: 173, 340, 505, 668? 829 What comes next: 1, 2, 3, 4, 5, 6? 7 What is the next term in -456, -1823, -4102, -7293, -11396, -16411, -22338? -29177 What comes next: -67, -102, -143, -184, -219, -242, -247? -228 What is next in -257, -260, -263, -266, -269, -272? -275 What comes next: -9, -16, -35, -72, -133, -224, -351? -520 What comes next: 4734, 4739, 4754, 4785, 4838? 4919 What is next in -540, -1098, -1656? -2214 What is the next term in 12, 64, 152, 276, 436? 632 What is the next term in 18, 41, 66, 93, 122, 153? 186 What comes next: -36, -43, -50, -57? -64 What comes next: 40, 78, 78, 22, -108, -330? -662 What is next in -24, -55, -94, -141? -196 What comes next: -9, -34, -87, -180, -325? -534 What is next in 207, 418, 629, 840? 1051 What is next in 14, 13, 20, 41, 82, 149? 248 What is next in 73, 76, 67, 40, -11, -92, -209? -368 What is the next term in -122, -249, -376? -503 What is the next term in -1, 14, 55, 134, 263, 454? 719 What is next in 488, 942, 1398, 1856? 2316 What is next in -153, -577, -1285, -2277? -3553 What comes next: 157, 156, 155? 154 What is next in -184, -195, -214, -241, -276? -319 What is the next term in 26, -8, -102, -286, -590? -1044 What is the next term in 4076, 4070, 4062, 4052, 4040, 4026, 4010? 3992 What is next in -80, -134, -210, -308? -428 What is next in 9, -33, -101, -195, -315, -461, -633? -831 What comes next: -94, -93, -92, -91, -90, -89? -88 What is next in -419, -838, -1257, -1676? -2095 What is next in 11, 96, 325, 770, 1503? 2596 What comes next: -225, -223, -221? -219 What comes next: 486, 489, 494, 501, 510, 521? 534 What is the next term in 1570, 1565, 1560? 1555 What comes next: 55, 120, 293, 628, 1179, 2000? 3145 What comes next: 358, 714, 1070, 1426, 1782? 2138 What is next in 27, 54, 85, 120, 159, 202, 249? 300 What is the next term in 1133, 1134, 1135, 1136, 1137? 1138 What is the next term in 8, 21, 36, 47, 48, 33, -4? -69 What is next in 266, 309, 380, 479? 606 What comes next: -100, -95, -88, -79, -68, -55? -40 What is next in 500, 490, 480? 470 What is the next term in -15, -11, -3, 9, 25, 45? 69 What comes next: 32, 27, 16, -1, -24? -53 What is the next term in 8, 3, -2, -7, -12? -17 What comes next: 104, 207, 312, 419, 528, 639? 752 What comes next: 196, 429, 662? 895 What comes next: -166, -331, -496, -661, -826? -991 What comes next: 1, 7, 17, 31, 49, 71? 97 What comes next: -5822, -11643, -17464, -23285, -29106, -34927? -40748 What is next in -116, -241, -366, -491? -616 What is next in 6863, 6864, 6865, 6866, 6867, 6868? 6869 What is the next term in 439, 878, 1317, 1756? 2195 What comes next: -37, -130, -287, -508, -793, -1142, -1555? -2032 What is the next term in 1662, 1665, 1668, 1671? 1674 What comes next: -5, -12, -25, -44, -69, -100? -137 What comes next: 122, 126, 132, 140, 150? 162 What is next in 11269, 11270, 11271, 11272, 11273, 11274? 11275 What is the next term in 8, 27, 62, 113, 180, 263? 362 What is the next term in 8043, 8044, 8045, 8046, 8047? 8048 What is next in -18143, -36327, -54525, -72743, -90987, -109263, -127577, -145935? -164343 What is next in 143, 255, 355, 437, 495? 523 What comes next: 336, 660, 984, 1314, 1656, 2016? 2400 What is the next term in 3, 1, -3, -9? -17 What is the next term in -7, -91, -319, -763, -1495, -2587, -4111, -6139? -8743 What is next in -40, -153, -346, -625, -996? -1465 What comes next: -88, -79, -58, -19, 44, 137, 266, 437? 656 What comes next: -497, -983, -1455, -1907, -2333, -2727, -3083, -3395? -3657 What is the next term in -1, 8, 19, 32? 47 What comes next: -233, -464, -695, -926, -1157, -1388? -1619 What comes next: 400, 520, 638, 754, 868, 980? 1090 What is next in 18, 43, 78, 117, 154, 183, 198, 193? 162 What comes next: 11, 17, 33, 65, 119, 201, 317? 473 What comes next: -1467, -5868, -13195, -23442, -36603, -52672? -71643 What comes next: 1, 6, 9, 10, 9? 6 What is next in 22, 51, 98, 163, 246? 347 What is the next term in 13, 14, 21, 40, 77, 138, 229? 356 What is next in 19, 80, 179, 316? 491 What is the next term in 10, 15, 18, 19, 18? 15 What is the next term in -6376, -12751, -19126, -25501? -31876 What is the next term in 58, 62, 70, 82, 98, 118? 142 What is the next term in -745, -1478, -2211? -2944 What comes next: -2, 9, 44, 109, 210, 353? 544 What is the next term in -458, -3593, -12104, -28679, -56006, -96773? -153668 What comes next: 38, 70, 102, 134? 166 What comes next: 33, 76, 151, 264, 421, 628, 891? 1216 What comes next: 40, 35, 10, -47, -148, -305? -530 What is next in 123, 128, 143, 174, 227, 308, 423? 578 What is the next term in -1, 40, 123, 254, 439, 684, 995, 1378? 1839 What is the next term in -30, -66, -108, -156, -210? -270 What is the next term in 1092, 1094, 1098, 1104? 1112 What is the next term in 65, 68, 71, 74, 77? 80 What is the next term in 32, 50, 70, 92, 116, 142, 170? 200 What comes next: 93, 83, 61, 21, -43, -137, -267? -439 What is next in -463, -470, -475, -478, -479, -478? -475 What comes next: 209, 198, 181, 158, 129, 94, 53? 6 What is next in 2317, 2319, 2321? 2323 What is next in 75, 83, 95, 111, 131? 155 What is the next term in -20033, -20032, -20031? -20030 What comes next: 40, 70, 118, 178, 244, 310, 370, 418? 448 What is the next term in -1073, -1077, -1083, -1091, -1101? -1113 What is next in -1937, -3874, -5811, -7748, -9685? -11622 What comes next: -25, -24, -23, -22? -21 What is the next term in 70, 77, 88, 103, 122? 145 What comes next: -84, -97, -128, -183, -268, -389, -552, -763? -1028 What comes next: 67, 168, 309, 490, 711, 972, 1273? 1614 What comes next: -224, -221, -216, -209, -200, -189, -176? -161 What is the next term in 5919, 11837, 17755, 23673? 29591 What is next in -222, -223, -210, -177, -118, -27, 102, 275? 498 What is next in 615, 616, 619, 624? 631 What comes next: -27, -52, -77, -102? -127 What comes next: -183, -199, -215, -231? -247 What is next in -22, -64, -106, -148? -190 What is next in -297, -564, -827, -1086? -1341 What comes next: 130, 127, 122, 115, 106, 95, 82? 67 What is next in 8, 7, 16, 41, 88, 163, 272? 421 What is next in -147, -105, -41, 57, 201, 403, 675, 1029? 1477 What is next in -13, 18, 99, 230, 411, 642, 923? 1254 What is the next term in -213, -427, -641, -855, -1069? -1283 What comes next: -1106, -1105, -1104? -1103 What comes next: -23, -41, -79, -143, -239, -373, -551, -779? -1063 What comes next: -60, -30, 34, 144, 312, 550? 870 What is next in -20, 4, 16, 10, -20, -80? -176 What comes next: -53, -79, -105, -131, -157? -183 What comes next: -9, -6, -29, -90, -201, -374? -621 What comes next: -414, -1655, -3724, -6621, -10346, -14899? -20280 What is the next term in 204, 201, 196, 189, 180? 169 What is the next term in -43, -28, -13, 2? 17 What is next in -1, -12, -33, -64, -105? -156 What is the next term in -175, -350, -539, -748, -983? -1250 What comes next: -5691, -11379, -17065, -22749, -28431, -34111, -39789? -45465 What is the next term in 16, 10, -8, -44, -104, -194, -320? -488 What is next in -201, -247, -283, -303, -301, -271? -207 What comes next: 172, 176, 180, 184, 188, 192? 196 What is the next term in 646, 647, 648, 649? 650 What is the next term in -58, -137, -216, -295, -374? -453 What is the next term in -1597, -1598, -1599? -1600 What is next in 11, 29, 45, 59, 71, 81? 89 What is the next term in 2374, 4750, 7126, 9502? 11878 What comes next: 91, 282, 591, 1012, 1539? 2166 What is next in 68, 88, 112, 134, 148, 148, 128, 82? 4 What comes next: -81, -75, -65, -51? -33 What is next in 370, 1465, 3286, 5833? 9106 What is next in 3541, 3542, 3543, 3544, 3545, 3546? 3547 What is the next term in -1407, -1406, -1415, -1440, -1487, -1562, -1671? -1820 What is next in -109, -190, -249, -274, -253? -174 What is next in 23892, 23894, 23896, 23898? 23900 What is next in -7753, -7751, -7749, -7747, -7745? -7743 What comes next: -65561, -65559, -65557, -65555? -65553 What is next in -105696, -105697, -105698, -105699, -105700, -105701? -105702 What comes next: -3, -13, -39, -87, -
{ "pile_set_name": "DM Mathematics" }
d derivative of -108*i**4 - 35*i**2? -2592*i Find the third derivative of 16*f*j**4 - 2*f*j**2 - 4*f*j + 9*j**4 wrt j. 384*f*j + 216*j What is the second derivative of 262*i**2*q**3 - 2*i*q**2 + 2*i - 4*q**3 wrt i? 524*q**3 Find the second derivative of -409*f**4 + 673*f + 2. -4908*f**2 What is the third derivative of -595*d**3 + 474*d**2 + 2? -3570 Find the second derivative of -39*v**5 - 5*v**4 + 28*v**2 + 1078*v - 5. -780*v**3 - 60*v**2 + 56 Find the second derivative of n**3*r**3 - 7*n**3*r + 8*n**2*r + n*r**4 - 2*r**4 - 2*r wrt r. 6*n**3*r + 12*n*r**2 - 24*r**2 Find the third derivative of -8502*s**6 - 12142*s**2 wrt s. -1020240*s**3 Find the third derivative of -787*i**3 + 4*i**2 + 22. -4722 Find the third derivative of -5*d**3*k**3 + d**3 + 2*d*k**3 - 8*d*k + 9*k**3 + 133*k**2 wrt k. -30*d**3 + 12*d + 54 Find the second derivative of -4*d**4 - 9*d**2 - 626*d. -48*d**2 - 18 What is the second derivative of -20*j**3 + 4*j**2 - 1307*j? -120*j + 8 Differentiate -648*h**2*i*o - 283*h**2*o**2 - h**2*o + 2*h*o**3 - 2*i*o**3 with respect to i. -648*h**2*o - 2*o**3 What is the derivative of 31*i**4*t**2 - 172*i**4 - t**2 + 15*t + 26 wrt i? 124*i**3*t**2 - 688*i**3 What is the derivative of -u**3 - 3*u**2 - 493*u + 5414 wrt u? -3*u**2 - 6*u - 493 What is the third derivative of 5633*g**3 - 1127*g**2 + 2? 33798 Differentiate 1445*g**3 - 1305. 4335*g**2 What is the third derivative of 126*i*p**3 + 2*i - 2*p**3 - 11*p**2 wrt p? 756*i - 12 What is the third derivative of f*x**3 + 14*f*x**2 - 58*x**4 - 13*x**3 - 31*x**2 wrt x? 6*f - 1392*x - 78 Find the third derivative of 44*f**3*o*y**3 + 8*f**3*o*y + 3*f**3*o + 9*f**3*y**3 + f**2*y**2 + 4*y**2 wrt y. 264*f**3*o + 54*f**3 Find the second derivative of -2*i**3*q - 208*i**2*q**2 - 2*i*q**2 + 65*q**2 wrt i. -12*i*q - 416*q**2 What is the first derivative of 2*c**3*i**3*k*y - 653*c**3*i**2*y + 9*c**2*i**3*y + c*i**3*y + 2*c*y - i**3*k + 2363*k*y wrt k? 2*c**3*i**3*y - i**3 + 2363*y Differentiate -u**2 - 231*u - 5260. -2*u - 231 Differentiate 2*c**3*r**2 + 242*c**3 + 59*c**2*r**2 wrt r. 4*c**3*r + 118*c**2*r Find the first derivative of -2*k**4 + 653*k**3*n - 80*n wrt k. -8*k**3 + 1959*k**2*n Find the second derivative of 747*f**3 - 53*f + 6. 4482*f Find the second derivative of 2*j*q**4 + 3*j*q + 31*j + 34*q**4 + 2*q**2 wrt q. 24*j*q**2 + 408*q**2 + 4 Differentiate -72*c**2*m*o + 155*c**2 + 2*c*m - 4*c*o with respect to m. -72*c**2*o + 2*c Find the third derivative of -2*l**6 + 5*l**5 + 201*l**3 - 20041*l**2 wrt l. -240*l**3 + 300*l**2 + 1206 What is the third derivative of -6*a**5 - 5*a**4 - 217*a**2 wrt a? -360*a**2 - 120*a What is the second derivative of -1260*w**3 - 20*w - 10? -7560*w Find the second derivative of 205*c**4 - 74*c wrt c. 2460*c**2 Differentiate -96*b*o**2 + 4*b*o - 1964*b - o**3 + o**2 + 2 wrt o. -192*b*o + 4*b - 3*o**2 + 2*o Find the third derivative of -50*k**4 - 168*k**3 - k**2 + 2*k - 12288 wrt k. -1200*k - 1008 What is the second derivative of -173*t**4 - 2*t**2 + 14*t - 108? -2076*t**2 - 4 Find the second derivative of -10257*f**2 - 2727*f wrt f. -20514 What is the second derivative of c**4*w**2 + 45*c**2*w**2 - 2*c - 120*w**2 wrt c? 12*c**2*w**2 + 90*w**2 What is the first derivative of -9*n*y**4 - 3*n*y**3 + 2*n*y**2 - 31*n wrt y? -36*n*y**3 - 9*n*y**2 + 4*n*y Find the second derivative of 2*v**3*w**2 + v**3*w - 15*v*w**3 + 12*w**2 - 24*w wrt w. 4*v**3 - 90*v*w + 24 Find the third derivative of 60*f**3*u**3*w + 616*f**3*u**2 + 7*f*u**4 + 4*f*u**3*w + 7*f*u**2*w + w wrt u. 360*f**3*w + 168*f*u + 24*f*w Find the third derivative of -w**5 - 15*w**4 + 19*w**3 + 60*w**2 + 56 wrt w. -60*w**2 - 360*w + 114 What is the third derivative of 835*k**3 - 263*k**2? 5010 What is the first derivative of 59*n**2 + 2*n - 823 wrt n? 118*n + 2 What is the third derivative of -2*d**2*s**4 - 2*d**2*s - 871*d*s**4 + 43*d*s**2 wrt s? -48*d**2*s - 20904*d*s Find the third derivative of 4*b**5 + 4*b**4 + 19*b**3*x + 1086*b**2 - 4*b*x wrt b. 240*b**2 + 96*b + 114*x Find the third derivative of -h**5 + 457*h**3 + 7*h**2 + 6*h wrt h. -60*h**2 + 2742 Find the first derivative of -8*j*o*t**2 + 390*j*t**2*v**2 - j*v**2 - 48*o*t**2*v**2 + 2*t**2*v wrt o. -8*j*t**2 - 48*t**2*v**2 Find the second derivative of 483*x**2 + 271*x wrt x. 966 Find the third derivative of -531*q**4 - 7*q**2 - 19 wrt q. -12744*q What is the second derivative of -600*u**3 - 189*u wrt u? -3600*u Find the second derivative of 132*k**4 - 3*k**3 + 349*k. 1584*k**2 - 18*k Find the second derivative of -3*f**2*h**3*q - f**2*h**2 - 26*f**2*h*q**2 - 2*f*h + f*q**2 + 643*h**3*q**2 wrt f. -6*h**3*q - 2*h**2 - 52*h*q**2 What is the second derivative of 7*a**3*w**2 - 2*a**3*w + 23*a**2*w**3 - a + 42*w**3 wrt a? 42*a*w**2 - 12*a*w + 46*w**3 What is the derivative of -j**4 - 17*j**2 - 385 wrt j? -4*j**3 - 34*j Find the third derivative of -124*q**3 - 258*q**2 + 2. -744 Differentiate 14*h**4 + 48*h**2*l - 5*l - 6 with respect to h. 56*h**3 + 96*h*l What is the third derivative of -26*m**5 - 430*m**2? -1560*m**2 What is the first derivative of 991*z**4 - 983 wrt z? 3964*z**3 What is the first derivative of -228*m**4 - 9*m**2 + 2*m + 4205 wrt m? -912*m**3 - 18*m + 2 Differentiate 2*x**2*y**2 - 135*x*y**2 + 11*y**2 - y - 167 with respect to x. 4*x*y**2 - 135*y**2 Find the second derivative of 281*u**2 - 2032*u. 562 Find the second derivative of 2*p**4 - 2293*p**3*t**3 - 4*p*t**3 - 1528 wrt p. 24*p**2 - 13758*p*t**3 What is the third derivative of -1292*y**4 - 254*y**2 + 2*y? -31008*y What is the second derivative of 3*w**4 - 507*w**3 + 111*w? 36*w**2 - 3042*w What is the third derivative of 77*p**4*x - 2*p**4 - p**3*x - 4*p**2*x - 2*x wrt p? 1848*p*x - 48*p - 6*x Find the second derivative of -7051*m*p**2 - 2*m*p - 653*m - 3*p wrt p. -14102*m Find the first derivative of 50*a*l**3*p + a*l**2*p - a*l**2 - a - 4*l**3*p - 40*l**3 + l**2 wrt p. 50*a*l**3 + a*l**2 - 4*l**3 What is the third derivative of -519*y**5 + y**2 + 52 wrt y? -31140*y**2 What is the first derivative of 3551*z**2 + 2018 wrt z? 7102*z Differentiate -2*g*t**2 + 2*g + 125*t - 84 wrt t. -4*g*t + 125 Find the third derivative of -16*i*j**3 - i*j**2 - 2*i - 70*j**3 - 12 wrt j. -96*i - 420 What is the second derivative of 16*z**2 - 3*z - 103 wrt z? 32 Find the first derivative of i**4 + i**2*n*z - 3*i**2 + 23*i*z + 523*n*z + n - 2*z wrt i. 4*i**3 + 2*i*n*z - 6*i + 23*z Find the third derivative of 2*t**2*y*z**3 + 95*t**2*y*z**2 - 4*t**2*y - t*y*z + 795*y*z**3 - 3*z**2 wrt z. 12*t**2*y + 4770*y Find the third derivative of -11822*u**6 + 11748*u**2 wrt u. -1418640*u**3 Find the second derivative of 2104*l**4 + 2*l**3 + 2*l**2*z**2 - 30*l*z**2 + 6*z wrt l. 25248*l**2 + 12*l + 4*z**2 Find the second derivative of -4*u**3*z**3 - 7*u**3*z - 2*u**3 + 27*z**4 - 42*z wrt z. -24*u**3*z + 324*z**2 What is the third derivative of -11750*n**4 + 5041*n**2 - n? -282000*n Find the third derivative of 559*o**3 + 536*o**2. 3354 What is the derivative of 58*h**2*j**2 + 32*h**2 - 2*h - 2*j**2 wrt j? 116*h**2*j - 4*j What is the derivative of n**4 + 2*n**2 + 80*n + 3007? 4*n**3 + 4*n + 80 What is the second derivative of j**2*r*z**3 - 927*j**2*r*z + 3*j*r*z**2 + j*z**3 - 3*r*z**2 + z wrt j? 2*r*z**3 - 1854*r*z Find the third derivative of 614*a*o**5 + 4*a + 2*o**2 - 93*o wrt o. 36840*a*o**2 What is the third derivative of 2*q**4*z + 4*q**4 + 38*q**3*z - 130*q**2 - 2*q*z wrt q? 48*q*z + 96*q + 228*z Find the second derivative of -l**5*r + 2*l**3*r + 284*l**2*r - 2*l*r + 1973*l - 2 wrt l. -20*l**3*r + 12*l*r + 568*r Find the second derivative of 6*g**3 + 95*g**2*s + 63*g*s - 6*g wrt g. 36*g + 190*s What is the second derivative of -41*b*j*k**4 - 3*b*j + 2*b*k**2 + 18*b*k - 10*k**4 wrt k? -492*b*j*k**2 + 4*b - 120*k**2 What is the second derivative of -71*c**4 - 3*c - 48 wrt c? -852*c**2 Find the third derivative of -8*o**5 + 115*o**3 + 4799*o**2 wrt o. -480*o**2 + 690 What is the second derivative of 9989*k**2 + 1431*k? 19978 Find the third derivative of -9960*x**3*y**3 + 21*x**2*y**2 + 3*x*y**3 - 37 wrt x. -59760*y**3 What is the second derivative of -247*k**3*s**2 - k**3*s + k*s**3 + k*s**2 + 2*k*s + 2149*s wrt s? -494*k**3 + 6*k*s + 2*k Differentiate -51*n**2 + 2*n - 1857 wrt n. -102*n + 2 Find the third d
{ "pile_set_name": "DM Mathematics" }
- 3 Let t(g) = -g**3 + 2*g**2 - 2*g + 2. Let q(h) = -h**2 + h - 1. Suppose 8*u + 12 = 4*i + 4*u, -i - 4*u = 22. Determine i*q(w) - t(w). w**3 Suppose 3*n - 12 = 0, -4*m + 6 - 14 = 3*n. Let c(p) = 2*p**3 + 3*p**2 - 1. Let j(d) = d**3 + 2*d**2 - 1. Determine m*j(y) + 3*c(y). y**3 - y**2 + 2 Let y(j) = -4*j**2 - 14*j + 1. Let n(t) = 10*t**2 + 26*t - 3. Calculate 6*n(l) + 11*y(l). 16*l**2 + 2*l - 7 Let x(v) = -v + 5. Let p(d) = -2*d + 4. Let j = -835 - -832. Give j*p(t) + 2*x(t). 4*t - 2 Let z(h) = -3*h + 9. Suppose 2*y = -y. Suppose -3*g + 4*j = -y*g - 31, 0 = 5*g - 3*j - 37. Let p(b) = -2*b + 6. Give g*z(q) - 7*p(q). -q + 3 Let t(z) = -z - 109. Let n(p) = -p - 2. Calculate 2*n(i) - t(i). -i + 105 Let y(g) = 2*g. Let w(x) = 17*x - 5. Determine -w(z) + 2*y(z). -13*z + 5 Let g(x) = 9*x + 698. Let a(u) = 4*u + 351. Calculate 14*a(y) - 6*g(y). 2*y + 726 Let b(h) = -36*h**2 - 11. Let s(u) = 73*u**2 + 26. Calculate 13*b(m) + 6*s(m). -30*m**2 + 13 Let k(h) = 264*h**2 + 11. Let u(q) = 53*q**2 + 2. Determine 2*k(c) - 11*u(c). -55*c**2 Let j(f) = 2*f**2 - 14*f + 25. Let o be j(3). Let w(y) = y**2 + 1. Let s(r) = -2*r**2 - r - 6. Give o*s(l) + 6*w(l). 4*l**2 - l Let o(v) = -v**3 - 4*v**2 - v - 12. Let z(y) = 2*y**3 + 7*y**2 + 2*y + 25. Calculate -11*o(f) - 6*z(f). -f**3 + 2*f**2 - f - 18 Let u(b) be the third derivative of -b**5/15 + b**4/24 + 5*b**3/3 - 95*b**2. Let d(m) = 3*m**2 - m - 7. Calculate 7*d(h) + 5*u(h). h**2 - 2*h + 1 Let m(z) = 2 + 0*z - 4*z - 2*z + 7*z + 2*z. Let n = 0 - 6. Let t(p) = -4*p - 3. What is n*m(j) - 5*t(j)? 2*j + 3 Let w = -19 - -22. Let s(g) = -5*g**3 - 5*g + 2*g + w*g. Let d(u) = -u**3. Determine -2*d(q) + s(q). -3*q**3 Let p(h) = h**2 + h. Let b(k) = 6*k**2 + 4*k. Let j(m) = -25*m**2 - 123*m + 7. Let o be j(-5). What is o*p(y) + b(y)? 3*y**2 + y Let j(p) = 3*p. Let o(t) = -43*t - 2. Calculate 6*j(f) - o(f). 61*f + 2 Let m(i) = -15*i**2 - 7*i + 4. Let j(h) = -2*h + 2 - 148*h**2 + 141*h**2 - h. What is -7*j(y) + 3*m(y)? 4*y**2 - 2 Let o(n) = 34*n + 8. Let s(z) = -69*z - 18. Determine 7*o(i) + 3*s(i). 31*i + 2 Let c(k) = -1. Let o(a) = 84*a**2 + 4*a + 4. Calculate -4*c(r) - o(r). -84*r**2 - 4*r Let g(z) = 9*z**2 - 2*z + 3. Let i(w) = 7*w**2 - 9*w. Let n(s) = 9*s**2 - 8*s + 1. Let r(k) = -4*i(k) + 5*n(k). Give -7*g(y) + 4*r(y). 5*y**2 - 2*y - 1 Let u(f) = 85*f. Let d(j) = -1. Calculate 2*d(y) - u(y). -85*y - 2 Let m(k) be the second derivative of -k**3/2 + k**2 - 19*k. Let t(g) = -1. Let d = -29 + 45. Let l = d - 15. What is l*m(r) + 4*t(r)? -3*r - 2 Let w(x) = -2*x**3 + x**2 + 5*x - 3. Let s(p) = -9*p**3 + 4*p**3 + 4*p**3 - 1 + 2*p. Let l be -2*3/6 + -3. Let h be (-16)/l*1/2. Calculate h*w(m) - 5*s(m). m**3 + 2*m**2 - 1 Let a(z) = -z**2 + 10*z + 7. Let k(s) = -s - 4. Let o(u) = -u**2 + 15*u + 30. Let i(f) = -6*k(f) - o(f). Determine 6*a(l) + 7*i(l). l**2 - 3*l Let f(t) = -3*t**2 + 13. Let b(q) = 2*q**2 - 14. What is -2*b(n) - 3*f(n)? 5*n**2 - 11 Let a(k) = k**3 - k + 1. Let c = 144 - 139. Let z = -36 - -52. Suppose c*s = s - z. Let r(u) = 6*u**3 + 2*u**2 - 4*u + 2. Determine s*a(x) + r(x). 2*x**3 + 2*x**2 - 2 Suppose 9*k - 11*k = 12. Let o(q) = 20*q**3 + 2*q**2 + 11*q - 17. Let d(a) = 7*a**3 + a**2 + 4*a - 6. What is k*o(v) + 17*d(v)? -v**3 + 5*v**2 + 2*v Let r(h) = -9*h**2 + 6*h - 6. Let v(x) = 10*x**2 - 7*x + 7. Suppose 3*a + 2*a + 3*g + 201 = 0, 75 = -2*a - 3*g. Let p = a + 35. Calculate p*r(l) - 6*v(l). 3*l**2 Let w(n) = -5*n**2 - 9*n + 5. Let d(l) = 3*l**2 + 11*l - 6. Let h(k) = 9*k**2 + 31*k - 17. Let f(i) = 8*d(i) - 3*h(i). Give 7*f(s) - 4*w(s). -s**2 + s + 1 Let b(s) = -6*s - 13. Let n(m) = -5*m - 11. What is -3*b(x) + 4*n(x)? -2*x - 5 Let f(o) = 0*o + 0*o - 1 + 2*o. Let v(n) = -21*n + 16. Let k(h) = 9*h - 7. Let r(m) = 9*k(m) + 4*v(m). What is 4*f(c) + 3*r(c)? -c - 1 Let a = 16 + -22. Let f(t) = -2*t - 4. Let q(i) = 2*i + 5. Let d(g) = a*f(g) - 4*q(g). Let u(m) = -m - 1. Suppose -c + 4 = 3. What is c*d(y) + 2*u(y)? 2*y + 2 Let j(l) = l**2 + 33*l + 10. Let s(r) = 11*r + 4. Calculate -3*j(g) + 8*s(g). -3*g**2 - 11*g + 2 Let p(t) = 27*t**3 - t**2 + 9*t. Let q(s) = -80*s**3 + 3*s**2 - 24*s. Determine 8*p(u) + 3*q(u). -24*u**3 + u**2 Let d(i) = -7*i**3 - 3*i + 2*i**2 - 6*i + 5 - 1 + 0*i**2. Let j(v) = 4*v + 0*v + v**3 - v**2 + 2*v**3 - 2. Let m be 15/10*(-8)/(-3). Calculate m*d(r) + 9*j(r). -r**3 - r**2 - 2 Let q(u) = 7*u**3 - 10*u**2 + 6*u - 1. Let v(f) = f**3 + 2*f**2 - f - 1. Calculate -q(o) - 6*v(o). -13*o**3 - 2*o**2 + 7 Let i(d) = 5*d + 48. Let z(m) = -7*m - 46. Determine -4*i(f) - 3*z(f). f - 54 Let f(r) = 21*r**2 + 6. Let o(d) = d**2 - 1. Calculate f(k) + 6*o(k). 27*k**2 Let k(c) = -4*c**2 - 4*c - 4. Let x(t) = -3*t**2 - 5*t - 5. Suppose -15 = -3*h - 21, -2*h = 4*d + 24. Determine d*k(y) + 4*x(y). 8*y**2 Let i(q) = 3*q**3 + 2*q**2 + 2. Let t(k) = -k**3 - 2. Determine i(u) + 2*t(u). u**3 + 2*u**2 - 2 Let k(p) = -p**3 + 2*p. Let s(u) = -264*u**3 + 8*u + 1. Calculate -4*k(g) + s(g). -260*g**3 + 1 Let l(v) = -4*v**2 + 2*v + 2. Suppose -h + 52 = -4*r, 5*r - 4*h + 65 = -0*h. Let u(a) = 2*a**2 - a - 1. What is r*u(p) - 6*l(p)? -2*p**2 + p + 1 Let d(o) = 15*o**2 - 7*o + 11. Let n(z) = 22*z**2 - 10*z + 16. Calculate 7*d(u) - 5*n(u). -5*u**2 + u - 3 Let p(x) = x - 1. Let c = 243 + -244. Let w(y) = -4*y + 2. Calculate c*w(k) - 3*p(k). k + 1 Let j(f) = -8 - 4 + 15*f + f**2 + 10*f - 27*f + 6. Let g(c) = -1. Calculate 4*g(l) - j(l). -l**2 + 2*l + 2 Let t(y) = -y**2 - y - 1. Let g(x) = 18*x**2 + 36*x + 36. What is g(w) + 36*t(w)? -18*w**2 Let u(r) = r**2 + 2*r + 56. Let b(c) = -c**2 - c. What is 2*b(a) + u(a)? -a**2 + 56 Let q(k) = 4*k**3 + 4*k**2 + 5*k + 6. Let h = -57 - -105. Let a = h + -42. Let d(p) = -p**3 - p**2 - p - 1. Give a*d(m) + q(m). -2*m**3 - 2*m**2 - m Let v(k) = 9*k - 3. Let r(m) = 44*m - 17. Determine 2*r(u) - 11*v(u). -11*u - 1 Let f(z) = 636*z - 10. Let p(q) = 39751*q - 626. What is -313*f(h) + 5*p(h)? -313*h Let z(q) = -q**2 + 1. Let i(f) = -2*f**3 - f**2 - 1. Calculate -i(y) + 2*z(y). 2*y**3 - y**2 + 3 Let x(o) = 1115*o**2 + 12*o - 4. Let z(u) = 2787499*u**2 + 29997*u - 9999. Determine 9999*x(l) - 4*z(l). -1111*l**2 Let j(d) = -d**3 + d**2 + d + 1. Suppose -14 = -0*l - 7*l. Let n(m) = -2*m**2 + 0*m**l + 16 - 17 - 6*m + 2*m + 3*m**3. Calculate 2*j(c) + n(c). c**3 - 2*c + 1 Let b(o) = -5*o**2 + 2*o**2 - 1 + o + 6*o**2 - 2*o**2. Let k(i) = -6*i**2 - 5*i - 3. What is -5*b(z) - k(z)? z**2 + 8 Let w(t) = 367*t**3 - 9*t**2 - t - 9. Let a(x) = -92*x**3 + 2*x**2 + 2. Calculate -9*a(l) - 2*w(l). 94*l**3 + 2*l Let a(k) = 7*k + 172. Let l(d) = -24*d - 517. Calculate -7*a(w) - 2*l(w). -w - 170 Let p(r) = -17*r - 40. Let f(d) = -5 + 4 + 7 + 11*d + 21. Let j(u) = 7*f(u) + 5*p(u). Let o(c) = -4*c - 6. What is -6*j(g) + 11*o(g)? 4*g Let r(i) = i**2 - 1. Let h(l) = -5*l**2 + 6. Let a = -2 + 3. Let k = 47 - 33. Let f(d) = 2*d - 22. Let m be f(k). Determine a*h(g) + m*r(g). g**2 Let d(j) = j**3 + 4*j**2. Let n(m) = -3*m**3 - 7*m**2. Suppose -3*c - 33 = -3. Calculate c*d(y) - 6*n(y). 8*y**3 + 2*y**2 Let m(d) = d**2 + d. Let z(p) = -6*p**2 - 9*p + 1. Calculate 4*m(h) + z(h). -2*h**2 - 5*h + 1 Let w(r) = 15*r - 4 - 4*r**2 + 2 - 33*r + 11*r. Let k(p) = 2*p**2 + 4*p + 1. What is 7*k(u) + 4*w(u)? -2*u**2 - 1 Let j(x) = x**2 - 1. Let r(y) = -y**2 - 3*y + 7. Suppose 0 = -2*w + 12 - 4. Let m(z) = w*j(z) + r(z). Let v(q) = -3*q**2 + 2*q - 2. Give -2*m(a) - 3*v(a). 3*a**2 Let t(f) = -6*f**3 + 2*f + 1. Let o = 13 - 8. Let y(b) = 13*b**3 - 5*b - 3. Calculate o*t(i) + 2*y(i). -4*i**3 - 1 Let j(i) = -i**3 - i. Let l(t) = -16*t**3 - 7*t - 4. Let k(p) = 32*p**3 + 14*p + 9. Let b(m) = -4*k(m) - 9*l(m). Calculate -b(h) - 5*j(h). -11*h**3 - 2*h Suppose -100 = -4*z + 8. Let v(l) = -z*l + 8 - 2 + 6*l. Suppose -126*s - 1115 = 271. Let c(r) = -4*r + 1. Give s*c(i) + 2*v(i). 2*i + 1 Let m(z) = -21*z + 5. Suppose -10*d + 163 - 113 = 0. Let l(g) = -10*g + 2. What is d*l(b) - 2*m(b)? -8*b Suppose -176*x + 27 = -167*x. Let r(d) = -12*d + 3. Let h(j) = 60*j - 14. Determine x*h(m) + 14*r(m). 12*m Let z(f) = -7*f. Let q(y) = 3*y. Let m(o) = o + 16. Let j be m(-10). Suppose -3*b - 6 = j. Let k be (-4)/14 - 272/28. Determine b*z(v) + k*q(v). -2*v Let m(n) = 14*n**2 - 3*n + 3. Let h(r) be the first derivative of -r**3/3 + r**2/2 - r - 312. Give -3*h(t) - m(t). -
{ "pile_set_name": "DM Mathematics" }
f picking 1 d and 1 x? 1/3 Four letters picked without replacement from llrllplrlllplplplr. What is prob of picking 1 l, 1 p, and 2 r? 11/255 What is prob of picking 2 p and 2 z when four letters picked without replacement from {z: 2, p: 8}? 2/15 Calculate prob of picking 1 m, 2 i, and 1 q when four letters picked without replacement from {c: 4, b: 2, m: 4, i: 2, p: 1, q: 7}. 28/4845 Three letters picked without replacement from hhzrzlzlll. Give prob of picking 1 r, 1 z, and 1 h. 1/20 Three letters picked without replacement from {r: 4, x: 1, d: 2}. Give prob of picking 1 d, 1 r, and 1 x. 8/35 Two letters picked without replacement from zzzzzzz. Give prob of picking 2 z. 1 Calculate prob of picking 1 m and 1 x when two letters picked without replacement from xmmmmmmx. 3/7 What is prob of picking 1 h and 1 f when two letters picked without replacement from {p: 4, h: 7, f: 4}? 4/15 Calculate prob of picking 1 s and 1 x when two letters picked without replacement from {x: 6, w: 4, o: 2, s: 3}. 6/35 Two letters picked without replacement from fppfppvppppppppppppf. What is prob of picking 2 f? 3/190 Three letters picked without replacement from {z: 6, m: 1, v: 8}. What is prob of picking 2 v and 1 z? 24/65 Three letters picked without replacement from aggaag. Give prob of picking 2 a and 1 g. 9/20 Four letters picked without replacement from {k: 5, v: 4, y: 6}. What is prob of picking 2 k and 2 y? 10/91 Calculate prob of picking 1 c and 2 l when three letters picked without replacement from {z: 3, c: 2, l: 5}. 1/6 Calculate prob of picking 3 i when three letters picked without replacement from {i: 11, o: 2, d: 2}. 33/91 Calculate prob of picking 1 i and 1 f when two letters picked without replacement from ififffz. 8/21 Calculate prob of picking 1 k and 1 t when two letters picked without replacement from ttkktttktktktttkttt. 26/57 What is prob of picking 1 k and 1 h when two letters picked without replacement from nnknnnknnnknkh? 4/91 Three letters picked without replacement from dilrxrxxdxdsx. What is prob of picking 2 r and 1 s? 1/286 What is prob of picking 1 w and 1 l when two letters picked without replacement from {w: 4, m: 1, y: 4, r: 1, f: 4, l: 4}? 16/153 Calculate prob of picking 1 e and 1 l when two letters picked without replacement from {e: 1, u: 1, l: 16}. 16/153 What is prob of picking 1 t and 1 c when two letters picked without replacement from cocto? 1/5 What is prob of picking 2 l when two letters picked without replacement from {g: 4, l: 10}? 45/91 Calculate prob of picking 2 f and 1 v when three letters picked without replacement from vlvvtftflvfvfvllfltt. 1/19 Two letters picked without replacement from edzkzzzdzmmpp. What is prob of picking 1 e and 1 d? 1/39 Calculate prob of picking 3 y when three letters picked without replacement from yyyyyyyyyy. 1 Calculate prob of picking 1 l and 1 b when two letters picked without replacement from blbbbbbbbbbbbbllbb. 5/17 Calculate prob of picking 2 q when two letters picked without replacement from {q: 3, c: 5}. 3/28 Two letters picked without replacement from rqrrrrorqrrrorrqrr. What is prob of picking 1 q and 1 r? 13/51 Calculate prob of picking 1 c, 1 h, and 2 y when four letters picked without replacement from yychhccchhyyhyy. 20/91 Calculate prob of picking 1 f, 1 o, and 1 g when three letters picked without replacement from gokkfko. 2/35 Three letters picked without replacement from {n: 4, e: 2, j: 4}. Give prob of picking 3 j. 1/30 Calculate prob of picking 1 j, 1 m, and 1 g when three letters picked without replacement from {j: 2, b: 2, e: 1, g: 2, m: 5, c: 1}. 10/143 What is prob of picking 1 t and 1 b when two letters picked without replacement from tbtbbtt? 4/7 Calculate prob of picking 1 o and 1 s when two letters picked without replacement from seesgsvsgoefs. 5/78 Four letters picked without replacement from ojttjjtmvttm. What is prob of picking 1 v, 1 j, 1 t, and 1 o? 1/33 Calculate prob of picking 2 z and 2 m when four letters picked without replacement from {z: 1, k: 1, a: 1, m: 2}. 0 Two letters picked without replacement from {z: 2, y: 3}. What is prob of picking 1 y and 1 z? 3/5 Two letters picked without replacement from koofk. What is prob of picking 1 o and 1 k? 2/5 What is prob of picking 2 n when two letters picked without replacement from nnnnnnnnnn? 1 Four letters picked without replacement from fpfdfffpfppffpfffpf. Give prob of picking 2 p and 2 d. 0 What is prob of picking 2 y and 1 w when three letters picked without replacement from {e: 3, x: 4, y: 10, o: 1, w: 1}? 15/323 What is prob of picking 1 i, 1 s, and 1 a when three letters picked without replacement from wwwwwiwawswwzww? 1/455 Calculate prob of picking 2 f when two letters picked without replacement from {a: 4, f: 16}. 12/19 Two letters picked without replacement from viqqdwm. Give prob of picking 1 d and 1 m. 1/21 Four letters picked without replacement from {m: 2, o: 1, k: 5, f: 7, z: 3, d: 2}. Give prob of picking 1 z, 2 d, and 1 m. 2/1615 Calculate prob of picking 1 h and 1 k when two letters picked without replacement from {j: 3, s: 3, h: 2, q: 1, k: 1, b: 1}. 2/55 What is prob of picking 1 g and 2 h when three letters picked without replacement from gggggghhhggghg? 15/91 What is prob of picking 2 f when two letters picked without replacement from fvveevefeevvevvvv? 1/136 Two letters picked without replacement from {m: 6, s: 7}. What is prob of picking 2 m? 5/26 Three letters picked without replacement from {t: 2, s: 5, y: 8}. Give prob of picking 1 y and 2 t. 8/455 Calculate prob of picking 1 w, 1 n, and 1 s when three letters picked without replacement from {s: 3, u: 3, q: 3, n: 1, k: 2, w: 1}. 3/286 What is prob of picking 2 r, 1 o, and 1 u when four letters picked without replacement from {o: 1, r: 5, u: 4, q: 3}? 8/143 Four letters picked without replacement from wwwwmwwwwwwm. What is prob of picking 2 m and 2 w? 1/11 Calculate prob of picking 1 q, 1 w, and 1 n when three letters picked without replacement from pjnwq. 1/10 Three letters picked without replacement from {o: 1, h: 5, p: 1, e: 2, k: 1}. Give prob of picking 2 e and 1 h. 1/24 Calculate prob of picking 2 x when two letters picked without replacement from xatttttttx. 1/45 Four letters picked without replacement from {b: 3, l: 8}. Give prob of picking 2 b and 2 l. 14/55 Four letters picked without replacement from sjjjjjs. What is prob of picking 2 s and 2 j? 2/7 What is prob of picking 1 t and 1 o when two letters picked without replacement from {o: 3, t: 1}? 1/2 Four letters picked without replacement from ewewwee. What is prob of picking 2 e and 2 w? 18/35 Two letters picked without replacement from {u: 1, o: 1, y: 1}. What is prob of picking 1 y and 1 u? 1/3 What is prob of picking 4 b when four letters picked without replacement from bbbzbvvbbbzvvb? 10/143 Four letters picked without replacement from ayawefi. Give prob of picking 1 i, 1 y, 1 f, and 1 w. 1/35 What is prob of picking 3 y when three letters picked without replacement from yhhhhyyyhhyyh? 10/143 Calculate prob of picking 2 q and 1 l when three letters picked without replacement from {e: 1, l: 1, q: 3}. 3/10 Calculate prob of picking 1 l and 1 g when two letters picked without replacement from olljoglzll. 1/9 Calculate prob of picking 1 d and 1 k when two letters picked without replacement from cckevkkveeocd. 1/26 What is prob of picking 2 n and 1 w when three letters picked without replacement from ngqqkkkwgnwkgkw? 3/455 What is prob of picking 1 y, 1 q, and 2 d when four letters picked without replacement from yddywqdyws? 3/70 What is prob of picking 1 f and 1 a when two letters picked without replacement from {a: 7, f: 1}? 1/4 Two letters picked without replacement from eoeb. What is prob of picking 1 o and 1 e? 1/3 Two letters picked without replacement from lyllliiyyl. What is prob of picking 1 y and 1 l? 1/3 Calculate prob of picking 3 u and 1 l when four letters picked without replacement from luullul. 4/35 Calculate prob of picking 1 q and 1 c when two letters picked without replacement from {n: 1, e: 2, q: 3, c: 1}. 1/7 Four letters picked without replacement from {s: 1, d: 3, r: 5}. What is prob of picking 1 s and 3 r? 5/63 Two letters picked withou
{ "pile_set_name": "DM Mathematics" }
prob of sequence dz? 7/72 Two letters picked without replacement from {r: 1, h: 2, t: 10, p: 3}. What is prob of sequence pr? 1/80 Calculate prob of sequence oo when two letters picked without replacement from okkkkkkok. 1/36 Two letters picked without replacement from {t: 1, o: 2, u: 1}. What is prob of sequence tu? 1/12 What is prob of sequence kka when three letters picked without replacement from kkzaa? 1/15 Calculate prob of sequence lq when two letters picked without replacement from tlq. 1/6 What is prob of sequence bh when two letters picked without replacement from {h: 1, o: 2, b: 1, l: 2, e: 4}? 1/90 What is prob of sequence qgyg when four letters picked without replacement from {q: 1, g: 2, y: 1}? 1/12 Four letters picked without replacement from {t: 12, e: 7}. Give prob of sequence teee. 35/1292 Four letters picked without replacement from {g: 2, z: 1, s: 3, l: 6}. What is prob of sequence zgzg? 0 What is prob of sequence ms when two letters picked without replacement from mmssmmmm? 3/14 Calculate prob of sequence uq when two letters picked without replacement from {u: 2, q: 7}. 7/36 Four letters picked without replacement from xkxxxkxxkxkkxxkxxkx. Give prob of sequence kxxx. 385/3876 Four letters picked without replacement from ggcaacggggaaggggcg. Give prob of sequence aaga. 11/3060 Three letters picked without replacement from qrrqqquuwrqrqsrrqqu. What is prob of sequence rwr? 5/969 Two letters picked without replacement from {d: 1, o: 2, u: 1, m: 1, c: 2, b: 1}. Give prob of sequence mu. 1/56 What is prob of sequence qap when three letters picked without replacement from {p: 1, e: 1, f: 1, q: 2, a: 2}? 2/105 Four letters picked without replacement from ppwepewewpiwppy. Give prob of sequence pywp. 1/273 Calculate prob of sequence nkk when three letters picked without replacement from {k: 6, n: 13}. 65/969 Calculate prob of sequence ef when two letters picked without replacement from eeefeeeef. 7/36 What is prob of sequence vz when two letters picked without replacement from {r: 6, a: 4, z: 3, v: 2}? 1/35 What is prob of sequence nnxx when four letters picked without replacement from {n: 2, x: 6}? 1/28 Two letters picked without replacement from yjyymmyyjyyyjzj. Give prob of sequence ym. 8/105 What is prob of sequence kq when two letters picked without replacement from oxqooqovbvkv? 1/66 Calculate prob of sequence vvtt when four letters picked without replacement from {v: 2, t: 3}. 1/10 Two letters picked without replacement from sbssssssssssb. Give prob of sequence sb. 11/78 What is prob of sequence nnvn when four letters picked without replacement from nvnnnnnnnvnnvnnnnnnn? 2/19 Two letters picked without replacement from {u: 3, i: 1, z: 1}. What is prob of sequence zi? 1/20 Calculate prob of sequence of when two letters picked without replacement from {n: 9, f: 6, o: 2}. 3/68 Two letters picked without replacement from {s: 10, m: 2, i: 3}. What is prob of sequence ms? 2/21 Two letters picked without replacement from sznzmsznadzs. What is prob of sequence dn? 1/66 Calculate prob of sequence gdqy when four letters picked without replacement from {g: 1, d: 2, q: 2, y: 1}. 1/90 Three letters picked without replacement from {a: 7, u: 3}. What is prob of sequence uua? 7/120 Two letters picked without replacement from {x: 8, a: 3, z: 7}. Give prob of sequence zz. 7/51 Four letters picked without replacement from sssssnnn. Give prob of sequence nsns. 1/14 Two letters picked without replacement from {s: 3, o: 3, b: 2, i: 7}. Give prob of sequence io. 1/10 Calculate prob of sequence pzxg when four letters picked without replacement from cpcpxxxxxcxczxxgxzx. 5/11628 Two letters picked without replacement from {j: 7, u: 2}. What is prob of sequence jj? 7/12 What is prob of sequence ffff when four letters picked without replacement from {f: 5}? 1 What is prob of sequence hbn when three letters picked without replacement from hhnnnhhhhhnhwbwpn? 1/102 What is prob of sequence ws when two letters picked without replacement from sryrriw? 1/42 Calculate prob of sequence uut when three letters picked without replacement from uwtkwukwuuutk. 10/429 Three letters picked without replacement from ogggggo. What is prob of sequence ggo? 4/21 Two letters picked without replacement from soooedooz. Give prob of sequence ds. 1/72 Two letters picked without replacement from {n: 1, p: 2, t: 1, c: 7, w: 5}. What is prob of sequence cw? 7/48 Calculate prob of sequence kttt when four letters picked without replacement from kttkkkkkkt. 1/120 Three letters picked without replacement from {o: 9, k: 2, l: 3, a: 1, n: 2}. Give prob of sequence oan. 3/680 Four letters picked without replacement from yyyyydyydyyydyyy. What is prob of sequence yydy? 33/280 Four letters picked without replacement from {t: 1, s: 2, u: 1}. What is prob of sequence usst? 1/12 What is prob of sequence hh when two letters picked without replacement from {t: 2, h: 9, m: 4, k: 3}? 4/17 Two letters picked without replacement from {h: 1, y: 3, v: 1, o: 5, z: 3, i: 1}. Give prob of sequence vi. 1/182 What is prob of sequence py when two letters picked without replacement from npqqqqyoqpqqoyq? 2/105 Three letters picked without replacement from {c: 4, w: 7}. Give prob of sequence ccw. 14/165 Two letters picked without replacement from {z: 3, m: 4, a: 1}. What is prob of sequence ma? 1/14 Two letters picked without replacement from {a: 2, e: 3, f: 3, j: 2, o: 1, q: 9}. Give prob of sequence ea. 3/190 Two letters picked without replacement from {l: 3, a: 6, g: 2, n: 1}. What is prob of sequence aa? 5/22 Four letters picked without replacement from {t: 7}. What is prob of sequence tttt? 1 Three letters picked without replacement from {x: 1, a: 1, t: 1, m: 1, r: 2, q: 1}. Give prob of sequence mra. 1/105 What is prob of sequence bbu when three letters picked without replacement from uozzrbob? 1/168 What is prob of sequence uv when two letters picked without replacement from ivupd? 1/20 Two letters picked without replacement from ecgeooeezgzggc. What is prob of sequence zg? 4/91 Two letters picked without replacement from fapffpffapafpap. What is prob of sequence ff? 1/7 Three letters picked without replacement from {d: 2, l: 1, y: 2, w: 6}. What is prob of sequence ddy? 2/495 What is prob of sequence hhkk when four letters picked without replacement from hhhkhhhhkkhhhhh? 11/455 What is prob of sequence xee when three letters picked without replacement from {x: 4, e: 15}? 140/969 Calculate prob of sequence ippn when four letters picked without replacement from {i: 3, p: 7, n: 2, q: 5}. 3/680 Calculate prob of sequence iidi when four letters picked without replacement from iiiidiiddiii. 7/55 Three letters picked without replacement from {m: 7, k: 9}. Give prob of sequence mmm. 1/16 Four letters picked without replacement from bbgbgggggbgggb. What is prob of sequence gbbb? 45/2002 What is prob of sequence wq when two letters picked without replacement from tmtjwqjtpjtt? 1/132 Four letters picked without replacement from {v: 5, u: 3, i: 2}. Give prob of sequence uiui. 1/420 Calculate prob of sequence pund when four letters picked without replacement from {n: 2, o: 1, p: 1, g: 2, d: 1, u: 1}. 1/840 Two letters picked without replacement from uyukkruqmurr. What is prob of sequence mm? 0 Two letters picked without replacement from {l: 5, d: 3, s: 8, p: 1, b: 1, a: 2}. Give prob of sequence ld. 3/76 Calculate prob of sequence bp when two letters picked without replacement from {b: 2, p: 6}. 3/14 What is prob of sequence sf when two letters picked without replacement from wfjfjjwsjjjffw? 2/91 What is prob of sequence cqc when three letters picked without replacement from bbcbbqbcccr? 2/165 What is prob of sequence tg when two letters picked without replacement from zztzzztggzzz? 1/33 Four letters picked without replacement from kkkgrggkhree. What is prob of sequence hggr? 1/990 Calculate prob of sequence iin when three letters picked without replacement from {n: 2, t: 7, i: 1}. 0 Three letters picked without replacement from {s: 1, j: 1, q: 1, x: 1, g: 6, f: 3}. Give prob of sequence sgq. 1/286 Two letters picked without replacement from {g: 1, l: 2, s: 1, p: 1, y: 1, k: 1}. What is prob of sequence py? 1
{ "pile_set_name": "DM Mathematics" }
-4 + 6 + 37*n**2 - 19*n**2 + 78*n**2 to p*n**2 + t*n + j and give t. 0 Rearrange (3*f - 22 + 22)*(-6*f**2 - 7*f**2 - 9*f**2) to the form t + n*f**2 + q*f + g*f**3 and give q. 0 Rearrange (-34*k + 112*k + 37*k)*(-3*k + 3*k + k) - 2*k**2 + 2*k**2 + 2*k**2 to the form w*k + u*k**2 + s and give w. 0 Express -25631*d + 25631*d + 261*d**2 in the form f*d + a*d**2 + g and give a. 261 Rearrange 25*l - 6 + 19 - 9 - 5 to the form s + a*l and give a. 25 Express 6*d**3 - 6*d**3 + 5*d**3 + 1 - 1 + 2*d**3 + (2*d + 5 - 5)*(64*d**2 + d**2 - 24*d**2) as t + k*d + c*d**2 + l*d**3 and give l. 89 Express (-22*f + 42*f + 4*f + (-f + 4*f - 4*f)*(4 + 1 - 3) - f + 4 - 4 - 2*f - 1 + 1)*(-1 + 3 - 3) in the form z*f + g and give z. -19 Express (2*y + 0*y + 3*y)*(-7 - 44995*y - 5 + 45006*y) as r*y + l + d*y**2 and give d. 55 Express 6*m**3 - 298*m - 17 + 2*m**3 + 298*m as v*m**2 + i*m + n + g*m**3 and give g. 8 Rearrange -2*a - 15*a + 29756*a**2 - 29758*a**2 + 4*a**3 to k*a + p*a**3 + t*a**2 + x and give k. -17 Rearrange 134 - 65 - 66 + 26*r**3 + (7*r - 4 + 4)*(5*r**2 - 5*r**2 + r**2) to i*r**2 + u + b*r + x*r**3 and give x. 33 Rearrange -10*q - 69*q**2 - 15*q + 2*q**3 + 66*q**2 + 1 to the form r*q**3 + l*q + b + o*q**2 and give b. 1 Rearrange 34*b**2 + 32*b**2 + 30*b**2 - 92*b**2 + 47 to l*b + x + d*b**2 and give d. 4 Express 3409 - 3409 + 752*m as o*m + x and give o. 752 Express (644 - 1327 + g**2 + 705 + 10*g**3)*(-2 + 2 + g) in the form b*g**3 + d*g + f + r*g**4 + s*g**2 and give d. 22 Rearrange -1331*r - 2 + 14 - 1 - 13 + 1 to k + c*r and give k. -1 Express -10*p - p - 5*p - 129*p**2 + 16*p + 3 as i*p**2 + h*p + u and give i. -129 Rearrange (-2*f**2 - 2*f**2 + 3*f**2)*(1 + 2 - 5) + 0 + 0 + 8*f**2 - 7*f**2 - 19*f**2 + 7*f**2 to c*f**2 + b + j*f and give c. -9 Rearrange (-4*y**2 + 3*y**2 - y**2)*(1 - 1 - 2) - 9532 + 9532 + 96*y**2 + 516*y**2 to m*y**2 + v*y + h and give m. 616 Express -u**3 + 0 + 5 - 626*u + 627*u + 4 in the form z*u**2 + t*u + g + v*u**3 and give g. 9 Express -15 - u**4 - 2*u + 2*u**2 - 5*u**2 - 2*u**3 - 8*u + 14 as c*u**3 + o*u**2 + n*u + l + z*u**4 and give z. -1 Rearrange (-2 + 5 - 5)*(5*h + 0 + 0) - 5282 + 5282 - 13*h to the form x + k*h and give k. -23 Rearrange (-2*u + 0 + 0)*(26*u**2 + 36*u**2 + 11*u**2) to q + m*u**2 + h*u**3 + t*u and give h. -146 Rearrange (2 - 4 + 1)*(30 - 30 + 6*c)*(-256 + 256 + 25*c**2) to the form o + b*c + d*c**2 + f*c**3 and give f. -150 Rearrange 45*x**3 - 43*x + 3 - 3 - 49*x**3 to l*x**3 + j*x**2 + s*x + k and give s. -43 Rearrange -24 - c**4 + 7*c + 38 - 15 + 2*c**2 + 2*c**3 - 36*c + c**2 to y*c**3 + n + l*c**2 + z*c + s*c**4 and give s. -1 Rearrange -3*d - 24*d**2 - 17*d**2 - 18*d**2 to the form u + y*d + g*d**2 and give y. -3 Rearrange -9 - d + 10 + 3 - 7*d**4 to the form u + m*d + y*d**4 + r*d**3 + p*d**2 and give y. -7 Express -3*f + f**3 - 3*f**2 - 50 + 51 + f**3 as k*f + n*f**2 + h*f**3 + b and give b. 1 Rearrange (-4 + 4 - 1)*(377 + 0*y - 880 - 3*y) + (4 + 0 - 3)*(2*y - 4*y + 4*y) to the form z*y + t and give t. 503 Express 391*s - 1421*s - 279*s in the form f + p*s and give p. -1309 Express -x + 2*x**2 - 4*x**3 + 40 + 8*x**4 + 3*x**3 - 3*x**3 + 2*x**3 - 42 as y + o*x**4 + m*x**3 + l*x + k*x**2 and give y. -2 Rearrange 2*l**3 + 4*l**2 + 6*l**2 + l**2 - 12 - 4*l**2 - 2*l**4 - l**2 to the form v*l + y*l**3 + u*l**2 + f*l**4 + n and give f. -2 Express -4 - 2263*i + 6 + 2262*i + 4*i**3 as l*i**2 + r*i + p*i**3 + c and give r. -1 Express (0*w - 4*w + 5*w)*(3 + 0 - 1) + 3*w - 5*w + w + (118*w - 92 - 221*w + 108*w)*(-2 + 5 - 2) in the form a + x*w and give x. 6 Express ((3 - 3 + 2)*(-1 + 3 - 1) - 98 + 34 - 262)*(0*i + 0*i - 2 - 2*i) in the form b*i + d and give d. 648 Express ((-w - 2*w + 4*w)*(-5*w + 3*w + 0*w) + 3*w**2 - w**2 - w**2 - 13*w**2 + 4*w**2 + 3*w**2)*(-6*w + 21*w - 3*w) as r*w**2 + z*w**3 + x*w + k and give z. -84 Rearrange (6*p - p - 3*p)*(-4*p - 2*p**3 + 4*p) + (-2*p**3 - p**3 + 4*p**3)*(p - 3*p + p) to m*p + j*p**3 + f + i*p**2 + x*p**4 and give x. -5 Rearrange -143*v - 33 + 282*v - 143*v to the form i + u*v and give u. -4 Rearrange ((-1 + 0 + 3)*(d - 3 + 3) + 0 + 2*d + 0 + 3 - d - 3)*(11 - 30 - 60) to the form p + y*d and give y. -237 Rearrange -a + a + 2*a + (29 + 3*a - 29)*(3 - 1 - 3)*(11 + 1 + 3) to c*a + n and give c. -43 Express 1 - 1 + 2*y**4 + (2*y - 1 + 1)*(-2*y + 2*y - 2*y**3) - 513*y**4 - 56*y**4 - 196*y**4 in the form p*y**4 + n*y**2 + f*y**3 + c*y + m and give p. -767 Rearrange (-7410 + 7410 + 13*k)*(-1 - 4 + 1) to p + b*k and give b. -52 Express -a - 3*a**3 - 25*a**2 + 28*a**2 + a**4 + 4*a**3 as j + i*a**4 + q*a**3 + s*a + y*a**2 and give y. 3 Express (-10 - 3*v + 10)*(1419 - 1419 + 140*v)*(v - v - v)*(-5 - 2*v + 5) - 2*v + 2*v + 2*v**4 as i*v**4 + k*v**3 + p + m*v**2 + d*v and give i. -838 Rearrange -85*l + 2 + 135*l + 43*l to the form x*l + h and give x. 93 Express 85 - 269 - s - s + 104 + 114 as r*s + j and give j. 34 Rearrange -9*z**3 + 14*z**3 + 9*z**3 + (-2*z - 3*z + 4*z)*((5 - 3 - 5)*(-2 + 2*z**2 + 2) + z**2 - z**2 + 2*z**2) to y*z**2 + b*z**3 + s + p*z and give b. 18 Express (-3 - 3 + 3)*(72*t - 71*t - 265*t**2 - 697*t**2) as l*t + r*t**2 + x and give r. 2886 Express -362*h + 735*h - 3 - 5 - 369*h in the form k + a*h and give k. -8 Express 12*w + 66220*w**2 + 4*w**3 - 3*w**4 + w**4 - 66218*w**2 as z + h*w + k*w**3 + s*w**4 + m*w**2 and give z. 0 Rearrange -675*c**2 + 452*c**2 + 539*c**2 to the form b + o*c**2 + v*c and give b. 0 Express 12*u - 4*u - 16*u - 14*u in the form r + f*u and give f. -22 Express (21*b - 6*b - 1 - 14*b)*(-14 - 27 + 57) as w*b + t and give t. -16 Express 2 + j**2 - 2 + (1 - 2 + 0)*(6*j**2 + 10*j**2 - 5*j**2) + (2*j - 2*j - 2*j)*(4 + 2*j - 4) as o + n*j**2 + y*j and give n. -14 Rearrange (2*g**2 - g**2 - 2*g**2)*(-18 - 20 + 8 + 2*g - 13) to the form r + q*g + x*g**3 + c*g**2 and give x. -2 Express (361*t**2 + 2521*t**2 + 1148*t**2)*(2 + t**2 - 2) in the form j + i*t**2 + p*t**4 + r*t + c*t**3 and give p. 4030 Express -4*o + 104 + 83 + 29 - 9 - 24 in the form u*o + d and give u. -4 Rearrange (-4*z + 6*z + 0*z + (2 + 2 - 5)*(-2*z + 4 - 4) - 2*z + 3*z - 3*z)*(-2*z**2 + 3*z**2 + 6*z**2) to the form d + m*z**2 + q*z + t*z**3 and give t. 14 Express -l + 4*l**2 - 2*l**2 + 5*l**3 + 413*l**4 - 429*l**4 as t*l**4 + d + n*l**3 + m*l + v*l**2 and give d. 0 Rearrange -47*g**2 - 893*g + 893*g to the form q*g**2 + d*g + h and give q. -47 Express (2*p**3 + 25*p**2 - 25*p**2)*(3*p - p + 0*p) - 3*p**2 + 7*p**4 + 15*p**2 - 13*p**2 as d + h*p**3 + z*p**4 + g*p + n*p**2 and give n. -1 Express (-2*q**2 - 2*q**2 + 0*q**2)*(5 - 7 + 5)*(-4 - 3 + 5)*(11*q + q - q) - 3*q**3 + 0*q**3 + 2*q**3 in the form f + o*q + y*q**3 + r*q**2 and give y. 263 Express -19 + 0*n + 2*n + 15*n - 54 + 43 as u*n + x and give u. 17 Rearrange (-2*m**3 + 2*m**2 - 2*m**2)*(1 - 3 + 3)*(1 - 2 + 3) to the form b + x*m + q*m**2 + n*m**3 and give n. -4 Rearrange (5*q - q + 1 + 11*q)*(q - 1 + 1 - 5*q - 6*q - 2*q + (-5 + 5 - 1)*(-6*q + q + 4*q)) to f + a*q + w*q**2 and give w. -165 Express -40*j**3 + 41*j**4 - 18*j**2 - 42*j**4 + 17*j**2 in the form w*j**4 + m*j + a + f*j**2 + l*j**3 and give f. -1 Rearrange -2*a - a**3 + 20*a**3 - 4 - 19*a**2 + 19*a**2 - a**4 to k + x*a**4 + q*a + m*a**3 + t*a**2 and give x. -1 Rearrange -155*a**2 - 63*a**2 + 22*a**2 to the form c*a + w*a**2 + r and give w. -196 Express -28*b + 32*b + 23*b - 3 - 2 + 65*b as t*b + n and give n. -5 Express (6*u - 4*u - u)*(0*u + 0*u - u)*(3 + 3 + 7) as v*u**2 + y + h*u and give v. -13 Rearrange (-166*s - 39*s - 112*s)*(-4 - 1 + 4 - 2*s**3) to p*s + m*s**2 + q + b*s**4 + k*s**3 and give p. 317 Rearrange 36*t**3 - 4*t**2 + 3*t**2 + 51*t**3 to the form m*t**3 + b*t**2 + r*t + v and give m. 87 Express (17 - 34 + 20)*(-5*t + 5*t - 6*t**2) as j + n*t + w*t**2 and give w. -18 Express 86 + 116 - 7*m**2 - 176 as c*m**2 + a*m + f and give c. -7 Express m**4 + 4*m**4 - m**4 + 5*m**4 - 1308*m**3 + 1309*m**3 - 12*m in the form j*m + l*m**2 + h*m**3 + s*m**4 + q and give h. 1 Rearrange 2*j + 472*j**2 - j - 471*j**2 + 68*j**4 - 1 to r*j**4 + i + k*j**2 + y*j**3 + v*j and give r. 68 Express (12 - 6*g - 2*g + 5*g)*(31 + 2 - 2) as d + f*g and give f. -93 Express -1 - 2*g + 7*g**4 + 0 - g**3 - g**2 - g**4 + 3*g**4 - 7*g**4 in the form b + r*g + f*g**3 + l*g**2
{ "pile_set_name": "DM Mathematics" }
v**2. Give t(y(f)). 1336336*f**2 + 9248*f + 16 Let w(q) = 36*q - 63*q - 7*q. Let y(b) = 2*b**2. Determine w(y(v)). -68*v**2 Let o(v) = 4*v. Let y(m) = 17*m - 5. Let t(j) = -8*j + 2. Suppose 3*a = -3*a + 12. Let c(f) = a*y(f) + 5*t(f). Give o(c(z)). -24*z Suppose 5*p + 9 = -3*a, -p - 3*a - 9 = p. Let i(w) = p*w**2 + 2*w**2 - 3*w**2 + 3*w**2. Let t(u) be the second derivative of -u**4/6 - u. Determine i(t(l)). 8*l**4 Let a(g) be the third derivative of -g**5/30 + 2*g**2. Let u(s) = -8*s**2. Give a(u(h)). -128*h**4 Let h(a) = -14*a**2. Let n(j) be the third derivative of -j**4/12 - 18*j**2. Calculate h(n(u)). -56*u**2 Let i(c) = -10*c - 5*c - c + 13*c. Let k(g) = 3*g. Let o(s) = -s. Let p(r) = 3*k(r) + 8*o(r). Give p(i(w)). -3*w Let b(o) = -4*o**2 + 9. Let u(w) be the first derivative of w**3/3 - 2*w + 3. Let a(q) = 2*b(q) + 9*u(q). Let z(d) = -11*d. Determine a(z(s)). 121*s**2 Let y(x) = -2*x. Let s be (0*1/(-4))/1. Let m(j) be the third derivative of s*j**3 + 1/24*j**4 + 3*j**2 + 0 + 0*j. What is m(y(k))? -2*k Let w(o) = -6846*o. Let g(l) = 2*l. What is g(w(t))? -13692*t Let w(n) = -12*n - 8. Let r(b) = -2*b**2. What is r(w(f))? -288*f**2 - 384*f - 128 Let k(z) = 6*z**2. Let c(i) = -4*i**2. Determine k(c(s)). 96*s**4 Let a(w) = -w. Let d(s) be the first derivative of -6*s**2 - 1. Determine d(a(v)). 12*v Let x(c) = -c. Let q(o) = 12*o. Let p(k) = -q(k) - 15*x(k). Let n(s) = s + 2. Let w be n(3). Let d(z) = z - w*z + 3*z. Determine p(d(i)). -3*i Let h(z) be the third derivative of 7*z**5/60 - 6*z**2. Let w(d) = -3*d. Give h(w(c)). 63*c**2 Let i(h) be the second derivative of h**6/90 + h**3/2 - 3*h. Let p(j) be the second derivative of i(j). Let a(b) = 0*b - b**2 + 0*b. Calculate a(p(s)). -16*s**4 Let q(k) be the first derivative of -k**2/2 - 8. Let d(f) = -7*f. Let w(c) = c. Let a(u) = -5*d(u) - 40*w(u). Give a(q(v)). 5*v Let v(h) = 10*h. Let p(c) = -9*c. Let w(j) = -4*p(j) - 3*v(j). Let x(y) = -6*y. Determine x(w(z)). -36*z Let q(x) = 3*x**2. Let i(h) = -36*h**2. Give q(i(j)). 3888*j**4 Let p(x) = -18*x. Let y(z) = -z + 1. Let a(l) = 2*l - 3. Let u(g) = 2*a(g) + 6*y(g). Calculate u(p(h)). 36*h Let i(w) = -w**2. Let t(s) be the first derivative of 2 + 1/8*s**4 + 0*s**3 + 1/2*s**2 + 0*s. Let o(j) be the second derivative of t(j). Give i(o(l)). -9*l**2 Let f(h) = -1 + 58*h - 57*h + 1. Let r(n) = 2*n**2. Determine r(f(z)). 2*z**2 Let r(g) = 0*g + 2*g**2 + 0*g. Let q(f) be the third derivative of f**6/360 + f**4/8 - 3*f**2. Let w(s) be the second derivative of q(s). What is r(w(h))? 8*h**2 Let q(f) = -2*f. Let j(s) be the third derivative of -s**4/2 + 4*s**2. Suppose -2*l - 2 = -0*l. Let g(o) = o. Let c(r) = l*j(r) - 10*g(r). Give q(c(y)). -4*y Let x(z) be the third derivative of z**4/6 + 17*z**2. Let j(h) = -4*h. Determine x(j(t)). -16*t Let g(f) = 1. Let y(k) = -2*k - 1. Suppose -5*a = 20, -r + 3*a + 19 = 6. Let n(i) = r*y(i) + g(i). Let c(s) = -4 + 4 - 2*s. What is c(n(x))? 4*x Let l(m) = 58*m. Let b(z) = z. Give b(l(g)). 58*g Let z(i) = -2*i**2. Let x(k) = 26*k + 2*k + 2*k. What is z(x(v))? -1800*v**2 Let d(r) = -r. Let m(o) = 10*o**2 - 31*o - 3. Determine m(d(q)). 10*q**2 + 31*q - 3 Let m(t) = -t. Let s(q) be the first derivative of -3*q**2/2 - 5. Let p(f) = 5*m(f) - 2*s(f). Let d(w) = 4*w. Give p(d(n)). 4*n Let r(u) = 99*u. Let i(p) = 4*p**2. Calculate i(r(s)). 39204*s**2 Let z(i) = -10*i**2. Let s(j) = -7*j**2. Determine s(z(v)). -700*v**4 Let y(z) = 135*z**2. Let j(n) = -6*n. What is j(y(m))? -810*m**2 Let d(b) = 6*b. Let f = -15 - -21. Let q(u) = 7*u - 2*u - f*u. Calculate d(q(p)). -6*p Let l(h) = 3*h. Let k(r) = -25164*r. Determine l(k(b)). -75492*b Let q(p) = -3*p**2. Let r(j) be the third derivative of -j**4/12 + 34*j**2. Calculate r(q(d)). 6*d**2 Let i(t) be the first derivative of -t**2/2 + 1. Let k(b) = -41*b**2 + 21*b**2 + 19*b**2. Calculate i(k(f)). f**2 Let d(n) = 109*n - 1. Let z(l) = -7*l. What is d(z(w))? -763*w - 1 Let p(b) = -2 + 2 - b**2. Let d(m) = -4*m**2 + 6*m - 4*m**2 - 6*m + 0*m. Determine p(d(o)). -64*o**4 Let j(f) = 14*f. Let k(p) = 38*p - 1. Give j(k(g)). 532*g - 14 Let l(f) = -4*f**2. Let j(v) be the second derivative of -v**5/60 + v**2 + v. Let q(h) be the first derivative of j(h). Give q(l(y)). -16*y**4 Let d(j) be the third derivative of -1/30*j**5 - 2*j**2 + 0*j**3 + 0*j**4 + 0*j + 0. Let u(x) = -3*x - 2*x + 5*x + 2*x. Give u(d(f)). -4*f**2 Let k(p) be the third derivative of -19*p**5/120 - p**3 + 6*p**2. Let o(y) be the first derivative of k(y). Let q(f) = 2*f. Give q(o(i)). -38*i Let x(h) = 10*h**2 - 14. Let l(m) = -2*m**2 + 3. Let g(r) = 28*l(r) + 6*x(r). Let a(o) = 5*o. What is g(a(y))? 100*y**2 Let t(d) = 7*d**2 - 6. Let y(z) = -15*z**2 + 13. Let j(u) = 13*t(u) + 6*y(u). Let c(l) = l + 5. Let b(a) = a + 2. Let i(v) = -5*b(v) + 2*c(v). Give j(i(m)). 9*m**2 Let y(w) = -3*w**2 - 4*w**2 + 2 + w**3 + 6*w + 2. Let g be y(6). Let l(r) = -2*r**2 + r**2 + g*r**2. Let b(h) = 2*h**2. What is l(b(o))? 12*o**4 Let i(s) = -8*s**2. Let f(k) = 17*k**2. Let l be 5/(50/8)*5. Let q(j) = l*f(j) + 9*i(j). Let o(h) = 2*h**2. Give q(o(c)). -16*c**4 Let b(c) = -11*c. Let d(l) = -12*l**2. What is b(d(i))? 132*i**2 Let d(a) = 1361*a. Let l(w) = -w**2. Give l(d(x)). -1852321*x**2 Let z(r) = -2*r. Let k = 4 + -3. Let q = k + 1. Let g(n) = 5 - 5 + q*n. Determine z(g(s)). -4*s Let x(d) be the third derivative of d**4/2 - 12*d**2 - d. Let n(y) be the first derivative of -y**2/2 + 1. Calculate n(x(o)). -12*o Let y(p) = 324*p. Let v(s) = -2*s**2. Determine y(v(j)). -648*j**2 Let l(v) be the first derivative of 0*v**3 - 3 - 7*v**3 + 6*v**3. Let j(f) = -3*f**2. What is l(j(y))? -27*y**4 Let p(w) = 22*w. Let t(k) = -116*k. What is t(p(z))? -2552*z Let h(c) = -2*c**2. Suppose -5*t + 3*s = 19, -4*t = -4*s + 10 + 10. Let a be (-2 - -2)*(-1)/t. Let l(j) = a*j - 2*j + 0*j. What is l(h(q))? 4*q**2 Let q be (-1)/((-1)/(-14)*-2). Let f(x) = 3 + q - 10 + 4*x**2. Let a(t) = 2*t**2. What is f(a(h))? 16*h**4 Let a(y) be the first derivative of -5*y**2/2 + 28. Let v(c) = -3*c + 5*c - 4*c. Give v(a(x)). 10*x Let j(o) = -3*o**2. Let p(b) = b. Suppose s - 13 = u + 4*u, 0 = -5*u - 4*s - 23. Let g(w) = 3*w. Let t(d) = u*g(d) + 5*p(d). Determine t(j(v)). 12*v**2 Let l(n) = 7*n**2. Let z(h) = 3*h. Determine z(l(v)). 21*v**2 Let d(n) = -318*n**2 - n. Let w(q) = q**2. What is d(w(a))? -318*a**4 - a**2 Let z(u) = -2*u + 37. Let i(c) = 2*c. Give i(z(m)). -4*m + 74 Let p(l) = 6*l. Let t(o) = 7*o. Let f(u) = -4*p(u) + 3*t(u). Suppose -2*k + k + 2 = 0. Let y(v) = k*v - 5*v + 4*v. What is f(y(s))? -3*s Let x(i) = 158*i**2. Let f(t) = 2*t + 21. What is f(x(a))? 316*a**2 + 21 Let h(p) = -p**2. Let m(t) be the third derivative of -3*t**5/20 - 5*t**2. Give h(m(y)). -81*y**4 Let t(s) = -12*s**2 + 3*s**2 + 3*s**2. Let f(u) = 2*u. Determine t(f(w)). -24*w**2 Let j(f) = 2*f**2. Let g(l) = l**2. Let q(n) = 8*g(n) - 5*j(n). Suppose -2*c + 4 = -0. Let y(p) = -41 + 41 - 3*p**c. Give q(y(w)). -18*w**4 Let y = 0 - -6. Let g(m) = y*m + 12*m - 13*m. Let c(z) = 2*z. Determine c(g(n)). 10*n Let b(t) = 5 - 9*t + 1 - 6. Let h(a) = 2*a. Determine b(h(m)). -18*m Let l(b) = 21*b**2. Let h(k) = -5*k. Give h(l(a)). -105*a**2 Let b(w) be the first derivative of -2*w**3/3 + 1. Let z(t) be the second derivative of 13*t**3/6 - 180*t - 1. Calculate z(b(k)). -26*k**2 Let a(d) = d. Let n(s) = -20*s - 8. What is n(a(l))? -20*l - 8 Let l(h) = 10*h**2 - 7. Let r(w) = -9*w**2 + 6. Let u(f) = 6*l(f) + 7*r(f). Let z(q) = 4*q. Give u(z(g)). -48*g**2 Let b(v) = 22*v. Let m(f) = -74*f**2 - 2*f. What is m(b(u))? -35816*u**2 - 44*u Let p(w) = -5*w**2 + 4*w. Let z(r) = -3*r. Give z(p(u)). 15*u**2 - 12*u Let c(m) = -60*m. Let y(x) = -4*x**2. What is y(c(v))? -14400*v**2 Let k(s) = -4241*s**2. Let j(q) = 3*q. Determine j(k(z)). -12723*z**2 Let c(f) = 19*f + 12*f - 11*f. Let y(t) = 2*t. What is y(c(w))? 40*w Let z(d) be the second derivative of d**4/3 - 10*d. Let x(b) = -6*b**2. Calculate z(x(o)). 144*o**4 Let z(v) = -37*v + 2. Let w(m) = -2*m. Calculate w(z(l)). 74*l - 4 Let v(w) = 9*w + 2. Let n(d) = 58*d**2. What is n(v(a))? 4698*a**2 + 2088*a + 232 Let k(r) = r. Let f(q) = -2*q - 68. Calculate k(f(i)). -2*i - 68 Let l(h) = 48*h. Let t(u) = u**2 + 7*u. Give l(t(y)). 48*y**2 + 336*y Let o(x) = 7*x. Let l(s) = 3
{ "pile_set_name": "DM Mathematics" }
et g be (-8)/6*30/(-20). Let r(y) = 8*y - 1. Let f be r(1). Suppose -2*t - 14 = -u + f, -g*t - 51 = -3*u. Solve 3*z + u = -0*z for z. -5 Let s be (-2)/(-1) - (-5 - 3). Solve -4*t = -10 - s for t. 5 Let a = -17 - -22. Solve -3*b = -a - 4 for b. 3 Let u(o) = 7*o - 1. Let r be u(1). Solve r*x - 25 = x for x. 5 Suppose -4*c - 25 = -9*c. Solve c*v = 7 + 8 for v. 3 Let l(z) = z**2 + z + 6. Let s be l(0). Suppose 7 = 3*v - 5*t + 21, 20 = 5*t. Let p = -7 + 11. Solve -p*a = -v + s for a. -1 Let l(c) be the first derivative of c**4/4 + 4*c**3 - c**2 + 4*c - 3. Let i be l(-12). Suppose w = -0*w + i. Solve -8 = 4*g - w for g. 5 Let m(l) = 8 + 0*l + 0 - 4*l + 5*l. Let u be m(-6). Solve -z + u*z + 2 = 0 for z. -2 Suppose 2*f = 3*z - 17, 3*f - 6 = -z + 4*f. Solve z*n = 2*n for n. 0 Let u be (3 - 0)*(2 + -1). Let d be 0*((-12)/(-8) - 2). Solve 3*y + u = -d*y for y. -1 Suppose 6*b - 8 = 2*b. Let y be -6*(34/(-6) - -4). Solve -y = -b*u - 0 for u. 5 Let j(p) = p**2 + 5*p + 2. Let h be j(-5). Let l be h/8 - (-195)/20. Solve 5*v + l = -10 for v. -4 Let c(b) = -1 + 5*b - 1 + 10 + b**2. Let w be c(-6). Let r be 4/w - 24/(-14). Solve 0*h + r*h - 10 = 0 for h. 5 Suppose -w + 5 - 3 = 0. Suppose w*q - 3*q = -2. Solve 3 = -q*o - 3 for o. -3 Let c(f) = f - 2. Let g(p) = p - 2. Let s(m) = 4*c(m) - 5*g(m). Let d be s(2). Suppose y + 52 = 3*j, -j - 4*y = 2*j - 32. Solve d*x + j = -4*x for x. -4 Let u(f) = 8*f**3 + 2*f**2 - f. Let r be u(1). Suppose -5*b + 16 + r = 5*j, 0 = 2*b - 3*j + 10. Solve -p - 5 = -b for p. -4 Suppose 3*c = -2*c - 25. Let o = 7 + c. Let y be (4/3)/(o/3). Solve -5*f + y*f + 3 = 0 for f. 1 Suppose -3 = 2*w - 23. Solve -3*z - 4 + w = 0 for z. 2 Suppose 0 = t + r - 4, -2*t + 4*r - 20 = -r. Suppose 0 = -j - t*j. Solve j = -0*i - 5*i - 10 for i. -2 Let o = 0 + 1. Let w be 6 - 3 - (o - 1). Solve t + 5 - w = 0 for t. -2 Let f(d) = 3*d + 39. Let b be f(-11). Solve -3*i + b = -3 for i. 3 Suppose 3*a + 2*f = -40, 2*a + 0*f = -2*f - 28. Let t be (-27)/a - (-1)/(-4). Solve 2*h = 8 + t for h. 5 Let f be 3/2 + 6/(-4). Suppose -2 = -2*y + 2. Solve y*j + f = -2 for j. -1 Let z be -3 + 6*(0 + 1). Let w be (-3)/(3/2) + 7. Let q(j) = -j**3 + 4*j**2 + 5*j. Let d be q(w). Solve d = -z*h - 2 + 8 for h. 2 Let t(y) = -y**3 - y**2 - y + 2. Let i be t(0). Solve i*a + a = 0 for a. 0 Let d(l) = 2*l**2 - 4*l - 8. Let z be d(6). Suppose 0 = -o - 2*o + 4*n + 30, 0 = -4*o - 3*n + z. Solve -o - 6 = 4*i for i. -4 Let o(h) be the first derivative of 5*h**2/2 - 1. Let p be o(1). Solve -3*r + 6 = -p*r for r. -3 Let o(f) = -f**3 - 12*f**2 + f + 16. Let x be o(-12). Solve 2 + 6 = -x*n for n. -2 Let a be ((-2 - -1) + 0)*3. Let b = -3 - a. Solve b = -c + 4 for c. 4 Let d(r) = -5*r + 4. Let z(h) = 9*h - 8. Let v(b) = -7*d(b) - 4*z(b). Let q be v(4). Solve -2*t + 10 = -q*t for t. 5 Let u(q) = 3*q**3 + 2*q - 1. Let c be u(1). Let i = c - 5. Let x be 5/5 - (2 + i). Solve 4*g = -x + 4 for g. 1 Suppose -17*p + 14*p = 0. Solve 10 = -p*h - 5*h for h. -2 Let f(u) = 3*u - 33. Let v be f(12). Solve -3*j = -4*j - v for j. -3 Suppose 2*j - j = 5. Solve 3*i = j*i for i. 0 Let r be 25 + 0*1/3. Let x = -6 + 9. Suppose p = -4*p - 2*m + 6, -4*m - 2 = 3*p. Solve -p*g - x*g = -r for g. 5 Let p be -4*9*(-4)/(-6). Let a = -8 - p. Solve 0*g + a = -4*g for g. -4 Let q = 7 - 3. Let d be (-1)/(-4) - (-56)/32. Solve q + 0 = d*h for h. 2 Suppose 4*d + l - 64 = 0, d - 2*d + 3 = -3*l. Solve d = 4*z + 3 for z. 3 Suppose -195 = -8*s + 21. Solve 5*g - 2 = -s for g. -5 Let w(l) = l**3 - 6*l**2 + l - 4. Let h be w(6). Let d = 6 - h. Let b = -20 - -32. Solve d*i = i + b for i. 4 Suppose 4*x = 2*x + 16. Let n be -7 - (-2)/(-4)*-4. Let w = n + x. Solve -2*u - w = u for u. -1 Let d(m) = -m**3 - 2*m**2 + 1. Let b be d(-1). Let p be (6 - b) + 9/(-3). Solve p*r = -0*r + 9 for r. 3 Let i(q) = q - 6. Let x be i(9). Solve -x*f + 5 = -10 for f. 5 Let h = 10 - 1. Let a = -6 + h. Suppose -a*y - y = 0. Solve 0 = u - y*u - 3 for u. 3 Let u be 8/20 + (-13)/(-5). Solve 1 = q + u for q. -2 Let g(f) = f**2 - 1. Let z be g(-1). Let i(s) be the first derivative of -s**2/2 + 5*s + 1. Let h be i(5). Solve z = 2*c - 6 - h for c. 3 Let z = 3 + 0. Suppose 2 = h + 3. Let y = h + 1. Solve -15 = z*k - y*k for k. -5 Let r be 52/8 + (-3)/2. Suppose 0*v + v + 10 = 4*i, 0 = -i - r*v - 8. Solve 6 + 2 = -i*h for h. -4 Let c be (-4)/(-8)*10/(-1). Let k be (-40)/(-12)*(-6)/c. Solve q - k = 2*q for q. -4 Suppose -3*w = -38 + 11. Solve w - 3 = -3*d for d. -2 Suppose 3*m - 40 = -10. Let b = 14 - m. Solve j = b*j for j. 0 Let l = 8 + -8. Suppose l = -5*z + 5. Solve -3*u = -8 - z for u. 3 Let v(h) = 1. Let k(p) = -p**2 + 7*p - 11. Let s(q) = k(q) + 5*v(q). Let l be s(6). Solve -3*m - 11 + 2 = l for m. -3 Suppose 2*w + 12 = -2*w. Let k be 0*(w - (-3 + 1)). Solve k = -m - 2*m + 6 for m. 2 Let v be (4/(-34) + 63/102)*0. Solve g + 0*g = v for g. 0 Let f = -27 + 36. Solve -1 = 2*v + f for v. -5 Let x(k) = -k**3 + 7*k**2 + 3. Let v be x(7). Solve -v = -g - 8 for g. -5 Let m = -4 + 1. Let j = -3 - m. Solve 3*r - r = j for r. 0 Let i = -13 + 29. Suppose 2*q = i + 22. Suppose 5 = 4*s - q. Solve w = -w - s for w. -3 Let d(n) be the second derivative of n**3/6 - 9*n**2/2 + 2*n. Let u be d(9). Let k = -6 - -6. Solve 3*w + k*w + 12 = u for w. -4 Let z(r) = 2*r**2 - r. Let q be z(2). Suppose 2*h + 15 = -5*g - 3*h, 3*g + 2*h + q = 0. Solve g + 5 = m for m. 5 Let w = 28 + -24. Let f be -1 + (-3 + w - -2). Solve -f*j + 12 = j for j. 4 Suppose p - 18 = -4*l, -6*l + l = 2*p - 21. Let w(m) = -63 + 63 + 2*m**2 + 2*m. Let a be w(p). Solve -15 = a*c + c for c. -3 Let w be 0/(4*(-3)/(-6)). Suppose w*g = -2*g + 6. Solve 6*n + 3 = g*n for n. -1 Let k(j) = -j**3 - 4*j**2 - 3*j - 1. Let v be k(-4). Suppose 2*g = 2*q - 6, -4*g + 13 = -q + 2*q. Suppose 3*c - g*c = 4. Solve -c - v = -5*d for d. 3 Let o(v) = 1. Let k(m) = -2*m - 6. Let w(h) = k(h) + o(h). Let y be w(-4). Solve 0 = -y*f + 5 - 20 for f. -5 Let s = -2 + 5. Let v be (-2)/(-7) - (-52)/14. Suppose v*y = 3*y + 2. Solve -y*o = -s*o for o. 0 Let w(n) be the first derivative of -n**2 + 14*n + 7. Let s be w(7). Let q = -1 - -4. Solve q*x - 4 - 5 = s for x. 3 Let z(y) = -y**3 + 2*y**2 - y - 2. Let q be z(-1). Solve -t - 12 = q*t for t. -4 Let b = 3 - -1. Suppose 3*g = -g + 24. Let i(t) = -t**3 + 6*t**2 + 2*t - 8. Let y be i(g). Solve 0 = -b*p - 0*p - y for p. -1 Let t = 84 - 80. Solve -t*i + 3 = -3*i for i. 3 Suppose 0*i - 10 = -i. Solve d + i = -d for d. -5 Let k(h) = h**2 - 10. Let s be k(4). Solve t - s*t = 5 for t. -1 Let l(r) = -1 - 2 + r - 3*r + 3*r. Let b be l(4). Solve -2 - b = 3*s for s. -1 Let o = -1 - 3. Let l be o*(0 - 3/6). Let z be 0/(l - 1 - 2). Solve z*n + 9 = -3*n for n. -3 Let j be 0/(-2)*((-6)/(-4) - 1). Solve -q - 5 + 0 = j for q. -5 Let o = 1 + -1. Let w = 0 - o. Let c = 129 - 127. Solve -4*u - c + 10 = w for u. 2 Let v(r) = -r**3 - 7*r**2 - 4*r + 14. Let y be v(-6). Suppose -t + 6*t = -3*l - 12, -3*l = -5*t + 12. Solve -y*q + 0*q = t for q. 0 Let l(x) = 15*x**2 - 2*x**3 + x**3 + 11*x - 7*x**2 - 12. Suppose -3*h + 41 = 14. Let y be l(h). Solve 0 = -11*o + y*o - 15 for o. -3 Suppose s + 0 = -1. Let c(w) be the first derivative of -2*w**2 - w + 2. Let m be c(s). Solve -m*b + 2 - 5 = 0 for b. -1 Let o = 10 + -21. Let b = 14 + o. Solve v + b*v - 16 = 0 for v. 4 Let h = -30 - -37. Solve -h*s = -8*s + 5 for s. 5 Let f be 18/(-6)*(-28)/6. Suppose -11 = 5*n + f. Let s be 0 + 5 + 4 + n. Solve -4 + 0 = -s*z for z. 1 Let n be (17 - 6) + 2*-2. Solve 3*t + 8 = n*t for t. 2 Suppose -19*t + 12*t + 42 = 0. Solve y = 3*y + t for y. -3 Suppose -2*h + 15 = h. Let r = -5 - -5. Suppose -3*b + 5 = -r*b + 2*i, -h*b + 11 = 2*i. Solve -b*u = -2 - 1 for u. 1 Let b be 7/(1*3/12). Solve b = 4*w + 8 for w. 5 Suppose -p - 16 = -5*p. Suppose 4*w + w - 30 = -5*y, 2*w + 5*y = 6. Suppose -w = -p*d + 52. Solve -d = 3*z + 2*z for z. -3 Let p be (-4)/(-14) - (-120)/21. Solve -p*u = -u for u. 0 Suppose 12 = -3*k + 3. Let p = k + 4. Suppose 7*g + 4 = 8*g. Solve -g + p = x for x. -3 Suppose 4*q + 3*x + 12 = 0, -2 + 6 = q - x. Suppose q = -3*h - 3*r - 6, 0 = h - 3*h + 2*r + 4. Let i be (h - (0 - -3)) + 7. Solve i*f = -f - 25 for f. -5 Suppose a - 8 = -0*a. Let v be ((-3)/(-2))/((-1)/6). Let p be v/(-3)*2/3. Solve -a = 2*s + p*s for s. -2 Let l = -73 + 77. Solv
{ "pile_set_name": "DM Mathematics" }
be l(-9). Suppose p = -2*v - 1, k*v + 5 = -2*p - 0*p. Sort 3, p, j in increasing order. j, 3, p Let g be 0/((8/(-8))/(-1 + 2)). Suppose 2*u - 3*u = 3*i + 6, i + 28 = 4*u. Let c be 8/u + 1/(-3). Sort -5, g, c in decreasing order. c, g, -5 Suppose 23*d = 82*d - 944. Let q be 8/22*(-6)/(-12). Sort d, q, 0.3, -5 in increasing order. -5, q, 0.3, d Let j = -0.43 + 0.03. Suppose 235 = -3*i - 209. Let n be (-42)/(-189) + i/18. Put 1, n, j in ascending order. n, j, 1 Let g = 3.4 - 0.4. Let u be 0/((-1)/(-1)*(-1)/(-1)). Put u, g, 0.2 in decreasing order. g, 0.2, u Let n = -2 + -1. Put 0.1, 2, 3, n in decreasing order. 3, 2, 0.1, n Let z = 0 - -4. Suppose -4 = z*c + 8. Suppose -250*w + 247*w - 3 = 0. Sort w, 3, c in descending order. 3, w, c Let f = -12 + 6. Let m be (-51)/f + 2/(-4). Let w be (6/10)/((-1)/20*-4). Put w, 5, m in decreasing order. m, 5, w Let b(g) = -g**2 - 10*g - 3. Let k be b(-9). Suppose z + k = -z. Suppose 0 = 362*p - 363*p - 5. Put z, p, 3 in ascending order. p, z, 3 Let l = 274 - 282. Sort 4, -4, l, 0 in descending order. 4, 0, -4, l Let d be (-16 - -1)/(3/(4 - 7)). Let z be 2/d - 41/(-30). Put z, 2, -0.02 in descending order. 2, z, -0.02 Suppose m + l + 14 = 4*l, 4*l - 25 = -5*m. Put 3, 2, m, -5 in descending order. 3, 2, m, -5 Suppose 4*c = -3*o + 1, 4*o - 10 = 2*o - 5*c. Let u be (-2)/o*70/7. Let z = 711 + -7815/11. Put 0.8, z, u in decreasing order. u, 0.8, z Let n = -529 + 529. Put n, -5, -3.2, -4 in decreasing order. n, -3.2, -4, -5 Let i = 60 - 57. Sort i, -0.9, -2/7, -0.5 in ascending order. -0.9, -0.5, -2/7, i Let i(w) = -2*w**2 - 19*w + 5. Let l be i(-10). Put -1, l, 7 in descending order. 7, -1, l Suppose 2*s = 4*s - 10. Suppose -4*u = -69 - 71. Suppose -h - h = -4*n - 14, -5*h - u = 4*n. Sort s, n, -4 in decreasing order. s, -4, n Let h = -1.3 + 1. Let q = -0.685 + 0.77. Let p = q - -0.415. Put -7, h, p in descending order. p, h, -7 Let u = 6 + -4. Let r = 12148 + -12148.06. Sort -2, u, r in descending order. u, r, -2 Let p = 0.0349 + 2.9651. Put -2, -3/2, -0.3, p in ascending order. -2, -3/2, -0.3, p Let z = 28 - 13. Let m(v) = -v + 15. Let n(i) = -3*i + 44. Let x(d) = -11*m(d) + 4*n(d). Let y be x(z). Put y, 0, -0.5 in increasing order. y, -0.5, 0 Let c = 49 + -47. Suppose -w - c*w = -3. Let t = 0 + 6. Sort -5, t, w in ascending order. -5, w, t Let a = 2284 + -29694/13. Let n = 10 + -14. Put -0.03, a, n in increasing order. n, a, -0.03 Suppose v + 2*d = 3, -3*v + d - 18 = 2*v. Let t = 292 - 292.2. Sort t, -2, v, -2/5 in decreasing order. t, -2/5, -2, v Let k(r) = r**2 - 14*r + 47. Let i be k(9). Sort 9, -8, i in descending order. 9, i, -8 Let d = 0.144 + 0.016. Sort -1, -5, d. -5, -1, d Suppose -1906*c = -1900*c + 30. Sort -71, -3, c, 2 in increasing order. -71, c, -3, 2 Let v = 11 + -22. Let u = v + 15. Let l be ((-6)/u)/((-12)/(-32)). Put 3, 1, l in ascending order. l, 1, 3 Let p be 1*-1 + (-369)/(-78). Let a = 1124/143 + -100/11. Let k = a + p. Put -4, 0.2, k in descending order. k, 0.2, -4 Let k = -261 + 250. Sort -2, -1, k, 5 in decreasing order. 5, -1, -2, k Let l = -16509/11 - -1501. Sort l, 0.3, -3/53, 4 in descending order. 4, 0.3, l, -3/53 Let d be -11*2*2/4. Let o(s) = s**3 + 5*s**2 + 6*s + 7. Let a be o(-4). Let r be (-5)/a + -1 + 0. Sort d, -5, r. d, -5, r Let t be ((-5)/15)/(4/(-60)). Let i(w) = w**3 - 4*w**2 + 4*w + 2. Let b be i(4). Let d be (-4)/b - 14/18. Sort t, d, 1 in ascending order. d, 1, t Let r = 4.5 - 4. Let p be (5 + -3)*(-3)/(-288). Let n = 91/240 + p. Sort -0.05, n, r in ascending order. -0.05, n, r Let t = -61 - -60. Let x be -8*((-11)/(-4) - (t + 4)). Suppose -5*z + 5*h = h + 16, -10 = 3*z - 2*h. Sort -5, x, z in decreasing order. x, z, -5 Let p(s) be the first derivative of -s**3/3 - 5*s**2/2 - 4*s - 2. Let d be p(-2). Let i = -4/9 - -41/72. Sort 3, d, i in descending order. 3, d, i Let o = 4.32887 + 0.09013. Let a = o - -0.591. Let h = a - 0.01. Sort 0.1, h, -1/3 in decreasing order. h, 0.1, -1/3 Let j = -1356 + 1358. Sort j, 4, -23, -2 in descending order. 4, j, -2, -23 Suppose 4*o = 2*p + 8*o - 14, 0 = 3*p + 3*o. Suppose -5*n + 31 - 3 = 4*z, -4*n = 2*z - 20. Put -4, z, p in ascending order. p, -4, z Let g = -13.1 + 13. Sort 0.3, g, -1 in increasing order. -1, g, 0.3 Let f = 2.86 - 1.86. Let d = -1753/754 + 30/13. Let z = d + -227/290. Put f, 0.7, z in decreasing order. f, 0.7, z Suppose 0 = -71*r + 94 + 261. Sort -2.9, -0.2, r in ascending order. -2.9, -0.2, r Let t(o) = o**2 + 30*o - 98. Let c be t(3). Sort c, -194, 3 in descending order. 3, c, -194 Let s = -13 + 8. Let g = -34 + 35.9. Let j = g + 0.1. Put 1, j, s in descending order. j, 1, s Suppose r - 1055 = -43*q + 39*q, -3*q - 2*r = -790. Put q, 5/4, 1 in descending order. q, 5/4, 1 Let w = -117 + 121. Sort -1, w, 41 in descending order. 41, w, -1 Let d be (-144)/(-30) + (-2)/(-10). Let s be 3/((9/(-2))/(-3)). Suppose m - 2*l = 5, 0*m - l + s = -d*m. Sort 1, m, 5 in descending order. 5, 1, m Let b(m) = -m + 15. Suppose 3*k - f = 1, 0 = -4*f + 3 - 7. Let x be b(k). Suppose 2*w = 4*o + 22, -4*w + 3*o + x = -3*w. Put 0, w, -2 in increasing order. -2, 0, w Let r = 2407/11 - 219. Sort -4/5, -3, r in increasing order. -3, -4/5, r Let p = -42 + 20. Let o be (-29)/p + 4/22. Sort -2/25, o, -4 in decreasing order. o, -2/25, -4 Let l be 1/((75/10)/(-15)). Sort 7, -1, 2, l in increasing order. l, -1, 2, 7 Let q(s) = -s**3 - 3*s**2 + 5*s + 2. Let b be q(-4). Let a be 100/(-36) - b/(-9). Suppose -20 = -0*g + 5*g, 0 = -v - 5*g - 24. Sort a, 4, v. v, a, 4 Let i = 4.973 - -0.027. Let r = -28.4 - 0.6. Let k = -26 - r. Put i, -4, k in increasing order. -4, k, i Let a(l) = l**2 + l - 1. Let d be a(1). Let t = 17 - 16. Let h = t + -3. Sort h, d, -1 in ascending order. h, -1, d Let n = -0.099 - -3.099. Let u = 3/73 + 46/657. Let h be (-1)/2*6/9. Put h, n, u in ascending order. h, u, n Let o be 1*-30*(-2 - 0). Suppose 0 = -12*h - 0*h + o. Put 15, h, -1 in ascending order. -1, h, 15 Let o be (-3720)/(-100) + (-7)/35. Put 7, o, 5, -3 in decreasing order. o, 7, 5, -3 Let y = -248/595 - 1/85. Let l = 2.8 - 3.2. Put y, -3, l in decreasing order. l, y, -3 Let w = -46 + 47. Put 5, -4, w in descending order. 5, w, -4 Let l(f) = f - 6. Let j be l(4). Let a be (j/6)/((-4)/(-12)). Put a, 1, 0 in decreasing order. 1, 0, a Suppose -2 + 4 = -2*p. Let i be (-3 + p)*(-3 + 2). Suppose 3*g + 4*z = 2, -i*g - 2*z + 6 = -0. Sort g, -5, 3. -5, g, 3 Let w = -433 + 431. Let g = -25453/8 + 3187. Let a = g - 489/88. Sort 0.4, w, a in descending order. 0.4, a, w Let u be (-5 + 0)*(-26)/(-65). Put -4, u, 2, 3 in ascending order. -4, u, 2, 3 Let d = 14.26 + -12.26. Put -1/6, -4, 30/7, d in increasing order. -4, -1/6, d, 30/7 Suppose -3*g + 2*r - 4 = 16, -g - 8 = -2*r. Let j be g*(0 + (-4)/(-8)). Sort -7, j, -0.3 in ascending order. -7, j, -0.3 Let n be (-56)/(-84) + 2/(-3). Sort n, 25, 0.3 in increasing order. n, 0.3, 25 Suppose -8 = 4*k - 5*w, -k + 2*w = -w + 9. Suppose -5*c + 0*c + 16 = -k*g, 0 = -3*g - 4*c - 25. Let j = 18 + -17. Sort j, -0.4, g in increasing order. g, -0.4, j Suppose -5*k - 320 = -7*k - n, 4*n = 3*k - 458. Sort -5, 1, k in descending order. k, 1, -5 Let r = -65.92 - -67. Let g = 0.08 - r. Let v = 158 - 156. Sort -0.3, v, g in ascending order. g, -0.3, v Suppose 0 = g + 5*h - 4*h + 6, -3*h = g. Sort -3, g, 5 in increasing order. g, -3, 5 Let y = 898 + -895. Suppose 13 - 3 = 5*a. Suppose a*k - n = 12, -3*n = -5*k + 20 + 9. Sort -3, k, y in increasing order. -3, y, k Suppose 6*k = -2*t + 11*k - 14, 0 = 2*t - 4*k + 10. Put 1, t, 2, -37 in ascending order. -37, 1, 2, t Let a = -187 - -248. Sort -2/7, a, 3/7 in increasing order. -2/7, 3/7, a Let r = -4 - -8. Let k(o) = 14*o - 152. Let x be k(11). Sort -3, r, -2, x in descending order. r, x, -2, -3 Let n(v) = v + 3. Let s be n(-7). Let i = 459 - 461. Sort 5, i, s. s, i, 5 Suppose 5*l - 45 = -5*f, l - 25 = -5*f + 8. Let m be (9/f + -1)/((-3)/24). Sort -2, m, 5 in decreasing order. 5, -2, m Let x = 178/35 - 24/5. Suppose 146*m - 148*m - 36 = -4*o, 5*o + 5*m - 30 = 0. Sort o, -0.01, x in ascending order. -0.01, x, o Let c = -165 + 164.947. Let g = -0.153 - c. Sort 6, g, -3. -3, g, 6 Let x be -6*(2/(-3))/1. Let y(s) = -s**2 - 6*s - 1. Let j be y(-5). Suppose 0*n + 2*n = -j. Put -1, x, n in descending order. x, -1,
{ "pile_set_name": "DM Mathematics" }
/205252 + 2/529. Let p = k - 2669/194. Find the common denominator of p and 41/8. 8 Let g(v) be the second derivative of v**5/20 - 7*v**4/12 + v**3 + 3*v**2 + v. Suppose t - 12 = -t. Calculate the least common multiple of 20 and g(t). 60 Suppose -b + 5*p = 3*b + 2407, 4*p - 3011 = 5*b. Let t be b/70 - (-1 + 2). Let j = 52/35 - t. What is the common denominator of -53/10 and j? 10 Let d(i) = -29*i**3 + 5*i**2 - 2*i + 2. Let n be d(-5). Let w = n - 82849/22. What is the common denominator of w and 59/6? 66 Let o(u) = -u**2 + 9*u - 10. Let r be o(7). Let l = r - 3. Find the common denominator of -139/6 and 5/(-70) + 0 + l. 42 Find the common denominator of ((-2)/((-132)/(-93)))/1 and (-13)/78 - 4/(-6). 22 Suppose -1571 + 14311 = 4*o. Let n = -28694/9 + o. Let t = -4/323 + -6767/1292. Calculate the common denominator of t and n. 36 Suppose 0 = 2*l - 0*n - n - 39, -29 = -2*l + 3*n. Let m be (-2)/(-9) - 3894/27. What is the least common multiple of -1 - 1 - m/8 and l? 176 Let z(s) = s**3 + 29*s**2 - s - 23. Suppose -c - u = -8 - 1, 67 = 3*c - 5*u. What is the lowest common multiple of z(-29) and c? 42 Let c = 880/19 - 4121/114. Find the common denominator of -97/8 and c. 24 Let f = -60 + 70. Calculate the smallest common multiple of f and 10. 10 Find the common denominator of 1/10 and (-888)/(-28)*2/(-8). 70 Let p(l) = 7*l**2 + 14*l. Let f(d) = -11*d - 30*d - 20*d**2 - 2 + 3. Let b(j) = 6*f(j) + 17*p(j). Calculate the least common multiple of 22 and b(-8). 66 Calculate the lowest common multiple of 3 - (2 + (-17)/1) and 32. 288 Suppose l + 4*j + 8 = -2*l, 15 = 5*l + j. Suppose -p - l*k = 0, -p = -3*p + 4*k + 36. Calculate the least common multiple of p and 22. 132 What is the common denominator of (-1 + -2)*22/(-198) and 32/157? 471 Let q = 117 + -445/4. Let t = 25123 - 452089/18. Find the common denominator of q and t. 36 Let z = 2835 + -45327/16. Let v = 1913/1170 + -14/585. What is the common denominator of v and z? 144 Let j = -5653/580 - -258/29. Let o = 11 - -20. Find the common denominator of o/(-5)*(-30)/(-28) and j. 140 Let l be ((6/(-15))/(-2))/(-4). Let v = -107/140 - l. Calculate the common denominator of v and 57/7. 7 Calculate the least common multiple of 35/2*(-16)/(-20) and 14. 14 Let c(n) = n**3 - 6*n**2 + 4*n + 6. Let h be c(5). Let z = h - 0. What is the smallest common multiple of 3 and z? 3 What is the common denominator of -11/5 and (1/25)/(2 + 1840/(-925))? 10 Let h be 83 + (-2)/(-4)*2. Suppose 5*l + h = l. Let g = 41 + l. Calculate the smallest common multiple of g and 2. 20 Suppose 11 - 32 = -3*q. Suppose -16 = 12*g - 16*g. Calculate the lowest common multiple of g and q. 28 Let h = 5 - -1. Let m be (-84926)/(-60) - (-2)/h. Let t = m + -4211/3. Calculate the common denominator of t and -15/11. 110 Let t = 68 - 46. What is the least common multiple of t and 20/6*(-18)/(-5)? 132 Suppose 0 = -0*i + 3*i + 15. What is the least common multiple of i/1*(-4)/10 and 7? 14 Let k = 7 + -20. Let p(h) = -h**2 - 5*h - 3. Let i be p(-4). Let d = i - k. Calculate the smallest common multiple of d and 6. 42 Suppose -a + 2321 = 79. Let v = 2240863529/1002904 - -12/125363. Let u = v - a. Calculate the common denominator of u and -77/20. 40 Let w = -9828235371 + 182490674496399/18568. Let b = 6584661/18568 + -2837/8. Let d = b + w. What is the common denominator of 51/7 and d? 56 Let p be -10 - (0 - 0)/(-1). Suppose -4*i + 3*k - 89 = 4, 2*k = -5*i - 99. Calculate the common denominator of (279/i)/(p/7) and 125/18. 90 Suppose -244 = 4*o - 2*a, -3*a + 1 - 13 = 0. Find the common denominator of 75/2 and 9/o*3*-2. 14 Let c be 2/13 - 164/52. Calculate the common denominator of (-8)/(-28) - (-786)/(-56) and (-3)/10*(-11)/c. 20 Let n = 5 - -17. Suppose -5*t = -x + 3*x, 0 = x - t. Suppose 60 = 3*d - x*d. What is the smallest common multiple of n and d? 220 Suppose -5*b = -3*f - b - 6, 0 = -5*b. What is the common denominator of 2*f/((-24)/(-129)) and -2*(35/2)/(-7)? 2 Suppose 5 = -3*i - 13. Let h = 11 + i. Suppose 51 = h*c - 4. What is the smallest common multiple of c and 3? 33 Find the common denominator of ((-2)/1 + 9)/(-10) and -25/8. 40 Let r be (-2)/66*(-30)/53. Let i = 60109/3498 - r. Find the common denominator of i and 83/4. 12 Find the common denominator of 270/(-70)*2/(-2) and (1/(-6))/((-2)/34). 42 Suppose -24 = 5*p + 31. What is the common denominator of -2 - 0 - 114/40 and (2/12)/(p/(-111))? 220 Let j = 12 - 7. Suppose -2*r = 2*u - 0*u - 334, j*u - 503 = -3*r. What is the common denominator of (r/32 + -1)*-1 and 13/16? 16 Let z = -80677/14 - -5766. Find the common denominator of -1*2 + 282/44 and z. 154 Find the common denominator of -35/12 and ((-2)/(-15))/(4/(-102)). 60 Suppose 2*z = -1 + 13. Let m = 20 - 10. Calculate the smallest common multiple of m and z. 30 Let s(p) = p + 2. Let u be s(-4). Let o = 93909/11560 - -2/1445. Find the common denominator of (u - 21/(-10))*-93 and o. 40 Let s = -6476/2667 - -6/127. What is the common denominator of s and 121/18? 126 Suppose 5*a - 3*a - 6 = 0. Find the common denominator of -119/6 and 25/(-8) + a/(-12). 24 Let a = -84 + 96. Calculate the least common multiple of 10 and a. 60 Find the common denominator of 6/44 - (-4)/(-4) and -47/10. 110 Suppose 3*k - 40 = -2*k. Let h be k/(-14)*21/(-6). Calculate the common denominator of -1/2 and (h/(-2))/((-9)/(-2)). 18 Let u = 25481 - 177705/7. Let b = u + -95. What is the common denominator of b and -17/11? 77 Let h = 81085/1822 + -3/911. Suppose -w = 5, 0*g - 3*g = -2*w - 25. Find the common denominator of (-36)/(g/(-4) + 2) and h. 2 Find the common denominator of -23/16 and 3 - 41*1/32. 32 Calculate the common denominator of -79/16 and (-346)/40 + (-14)/(-35). 16 Let b(c) = c + 3. Let f be b(-3). Suppose f + 2 = v. What is the smallest common multiple of v and 11? 22 Suppose -37 - 17 = -9*v. What is the smallest common multiple of 27 and v? 54 Let n = 1/128 - -3321/896. Calculate the common denominator of -40/7 and n. 7 Suppose -j = -0 - 16. Let k(h) = 3*h**2 - 21*h - 17. Let y(z) = -z**2 + 7*z + 6. Let s(u) = 2*k(u) + 7*y(u). What is the lowest common multiple of s(6) and j? 112 Suppose k - 6*k = -20. Suppose 2*z - 33 = -1. What is the least common multiple of z and k? 16 Let h = -115173/20 + 5756. What is the common denominator of 123/10 and h? 20 Suppose 5*d - 440 = 3*z, -z + 6*z + 720 = -5*d. Let c be 131/z + 2/2. Let u = c - -2671/870. Find the common denominator of 43/4 and u. 12 What is the common denominator of 151/12 and (2/18)/((-24)/564)? 36 Let s be (74/5)/((-252)/17595). Let l = s - -1031. Find the common denominator of l and 45/22. 154 Let m be (27/12)/(4/16). Suppose -m = 2*p - 5*p. Calculate the least common multiple of 9 and p. 9 What is the common denominator of -2*(-14)/(-96)*3 and 137/6? 24 Suppose 3*t + 4*c = -432, t + 281 = -t - 5*c. What is the common denominator of 35/27 and 3 - (-3)/((-96)/t)? 216 Suppose -6*f = -f + 60. Find the common denominator of (2/f)/((-8)/(-261)) and -11/2. 16 Let y(d) = 215*d**3 + 2*d**2 + 4*d - 5. Let h be y(2). Let z = h - 8703/5. What is the common denominator of 69/4 and z? 20 What is the common denominator of 12/144*(2/2 - 107) and 21/8? 24 Suppose -4*a = -a + 2*u + 81, 55 = -2*a - u. Let c = a + 21. What is the common denominator of -55/4 and 2/c + (-30)/(-5)? 4 Let y = 749461/101052 + 2/25263. Find the common denominator of y and 50/9. 36 Let d = -101779/18 + 5649. What is the common denominator of -37/8 and d? 72 Let u(i) = -2*i - 4. Calculate the smallest common multiple of 4 and u(-8). 12 Let v be 3/(-9) + 10426/(-6). Let r = v - -3409/2. What is the common denominator of -22/5 and r? 10 Let o = -5 - 1. Let a(g) = -3*g. What is the smallest common multiple of a(o) and 8/20 + 58/5? 36 Let z be -3 + (-9)/(-3)*3. Suppose 5*y = z + 19. Suppose 5*w + 0*w - 10 = y*s, -4*s = w - 12. What is the lowest common multiple of s and 2? 2 Let q(i) = -i**2 - 4*i. Let t be q(3). Let r = 31 + t. Suppose 0 = 3*n + 4*g - 31, 0 = -4*g + g + 12. What is the lowest common multiple of r and n? 10 Let x be (-1)/(1/(-2)) - -34. Let z = x - 14. Calculate the smallest common multiple of 14 and z. 154 Let v = 17/6 + -71/24. Find the common denominator of v and 85/16. 16 Suppose -4*x - k + 154 = 0, -2*x + 3 + 75 =
{ "pile_set_name": "DM Mathematics" }
= 5*n + o + 46 + 55, 21 = -n - o. Let c be n/25*(6 + -1). Let j be (-4 - c) + -1*(1 - 3). Solve 1 = -u - 4, -5*u = j*v + 17 for v. 4 Suppose 4*v - 3*t - 5 = 16, -3*v - 2*t = -3. Solve 6 = 5*x + v*c, 0*x + 2*x = -5*c + 10 for x. 0 Let i(o) = 11*o**3 - 1. Let p be i(-1). Let t = 23 + p. Let s = 539 + -534. Solve 4*c = -s*g - 24, -2*c + t = -3*g - c for g. -4 Suppose 363 - 363 = 5*s. Solve s = 5*u + 3*t + 37, 6 = u - 4*t - 5 for u. -5 Let y = -74 + 105. Suppose -w = -4*p - 3, 2*w = -2*w - 3*p + y. Suppose -19 + w = -3*k. Solve -2*n - 11 = -3*h, 0 = k*n - n + 4*h + 8 for n. -4 Suppose 27*a + 66 - 174 = 0. Solve -a*p = 5*c + 24, -3*p - 2 - 1 = 0 for c. -4 Let k = -2233 + 2233. Solve 2*a - 27 = -4*o - a, 4*a - 20 = k for o. 3 Let q be 3 + -2 - 3 - -6. Let r(o) = 46*o + 444. Let f be r(-10). Let p be (0 + -4 - -3)/(q/f). Solve -2*y = -5*g - 4, -y - 2 + 4 = -p*g for y. 2 Suppose -1943*r - 60 = -1958*r. Solve -4*m = -5*t + 26, 4*t + r = 4*m - 7*m for t. 2 Suppose f - 3*h = -7849 - 1578, -4*h = 3*f + 28268. Let n be f/(-684) - 2/9*-1. Let p be (1 - 0/1) + -1. Solve -2*g = -0*g - 5*v - n, p = 4*g + v + 16 for g. -3 Suppose x - 5*x - w + 844 = 0, -2*w = x - 204. Let z = x - 209. Solve -4*b - 5*q = z - 4, -5*q - 15 = 0 for b. 4 Let v = 210 + -203. Suppose 12 = 9*u - v*u. Solve 3 = 5*h + 4*a, a - 3 = -4*h + u for h. 3 Suppose -6*f = -257 + 245. Suppose 4*v + f*t = 9*v, 0 = 4*v - 3*t + 7. Solve -m - 7 = -v*a - a, -a - 3*m = 11 for a. 1 Suppose -3*y = 4*f - 521, 0*y - y = 4*f - 187. Let r = y + -165. Solve -5*c - 3 = -2*i, c = 2*i + r - 1 for i. -1 Let j(y) = -19*y - 75. Let d be j(-4). Let p be 0 + (d/3 - (-100)/60). Solve p*h + 2*z - 2 = 0, 0*h + 2*z + 1 = -5*h for h. -1 Suppose 196 = 17*n - 18*n. Let w = n + 200. Solve -w*p + 14 = p - i, 0 = -5*p + 3*i + 22 for p. 2 Let k(l) = -l**3 + 56*l**2 + 62*l - 280. Let m be k(57). Let j(g) = g**2 - 5*g + 4. Let p be j(4). Solve -o = -5*b + 2, p = m*o + 3*b - 3 + 13 for o. -2 Let j = 243 + -150. Let i = 95 - j. Solve 2*t = -4*x + i*x - 10, -4*t - 2*x - 20 = 0 for t. -5 Suppose 7*a = 25 - 4. Suppose -39 - 9 = -a*n. Solve -2*x = -6*x - 2*m + 14, -5*x = 2*m - n for x. 2 Let l be -1 + (-45)/(-35) - 54/(-7). Let w(u) = u**3 - 2*u**3 + 9 + 4*u**2 + 5*u**2 - 8*u. Let r be w(l). Solve s + 1 = -d + 4, s + 3*d - r = 0 for s. 0 Suppose 5*a = -2*p - 65 + 41, -12 = 2*a. Let x be (((-1)/2)/(6/(-48)))/1. Solve -3*b + 2*v = -23, -x*b - 2 = -2*b + p*v for b. 5 Suppose 0 = 3*g + l - 25, -4*l + 17 = 2*g - 13. Let z be g - (-1)/((-2)/10). Solve -2*i - 16 = -z*d - 3*d, -3*d + i + 9 = 0 for d. 2 Let t(k) = k**3 + 7*k**2 - 8*k - 1. Let q be t(-7). Suppose d = 4*z - 11, 57*d - 2 = q*d. Solve -3*s - 22 = -5*h, z*s - 13 = -0*h - 2*h for h. 5 Suppose 8 = r - 3*n, 3*r + 2*n + 336 - 415 = 0. Solve -r = -28*a + 24*a - 3*v, 3*v = 15 for a. 2 Let m be 30/(-5) + (3 - 2) + 7. Solve w = -m, -3*u + 9 = -2*u - 5*w for u. -1 Let j be -4 + 5 - (0 + -3). Suppose 5*c - 2*i - 140 = 0, j*c - 5*i + 29 = 141. Suppose -13*d = -20*d + c. Solve 0 = -0*x + 2*x - 2, 21 = d*k + x for k. 5 Let g(v) = -13*v - 5. Let w be g(-8). Let m be (-120)/10 - 1224/(-12). Let z = w - m. Solve -c + 29 = -5*d, -3*c - 5*d - 4 = z for c. 4 Let q be (1 + 3)*(-1703)/26. Let u = q + 275. Solve -5*p = 4*z + 22, 5*z + 0 + u = p for p. -2 Let h(t) = 77*t - 12932. Let j be h(168). Solve 0 = j*z, -5*z = 7*x - 11*x + 16 for x. 4 Let g be -2*((21 - 8) + -14). Solve 3*k + 5 = g*x, -3*x = -4*k - 2*x - 5 for k. -1 Suppose 22*m = 37*m - 35 + 5. Solve -w + 4*i + 1 = 9*i, 0 = -w - m*i - 2 for w. -4 Suppose -2*n + 2*d = 0, 2*d + 3*d = -3*n. Suppose 3*y + 52 = 10*o - 5*o, 3*o + 3 = n. Let j = y + 24. Solve -2*u + 0*u - j*l = -7, 0 = u - 5*l + 4 for u. 1 Let b be (-32 + -3)*19/(-133). Solve 4*l + 4*p = 12, 9*l + b*p = 8*l + 23 for l. -2 Let z(u) = -2*u**2 + 9*u - 2. Let m be z(6). Let c = -118 - m. Let s = 104 + c. Solve -p - 3*o = -o + s, 0 = p - o - 9 for p. 4 Let r = 2978 + -2972. Solve -r*q = -2*q - 3*b + 23, -5*q - 21 = 4*b for q. -5 Suppose 2*i = -5*f + 7, 5*i - 24*f = -19*f + 35. Solve -2*a - i*z + 5*z + 6 = 0, -5*a = -2*z - 24 for a. 4 Suppose -2*x = -0*x - 180. Suppose -313*s = -312*s - 71. Suppose -s = -7*k + x. Solve f + 5*n = -0*n - k, -4*f + 2*n = -18 for f. 2 Let t = 86 - 51. Let c(v) = -21*v**2 + 83*v + 4. Let g be c(4). Solve -h - s = g, 0*h - 3*s + t = -4*h for h. -5 Suppose -8*f = 7*f - 2730. Let h = f + -178. Solve 3*q = -i + 3*i - 6, 0 = -i - h*q + 3 for i. 3 Let t = 5727 - 5699. Solve -t = 5*n + y, 2*n + 3 = -n + 4*y for n. -5 Let l = 124 - 125. Let a be (l/(-6))/((-1)/(-18)). Solve 3*u = y + y + 9, 0 = -a*y + u - 3 for y. 0 Let j = 71 + -66. Suppose -2*k = j*k - 14. Suppose 4*o - 27 = -3*f, 4*f - o = k*o + 11. Solve p + 3*w + 7 = -4*p, 5 = f*w for p. -2 Suppose 0 = 30*c - 27*c. Suppose 3*k - 3*s + 6 = c, -2*s = 2*s - 4. Let d be (0 - 0 - k)*5. Solve -5*a - 26 = h, -d*a - 3*h = 2*h + 30 for a. -5 Let d be 13/(26/40)*2/(-16)*-2. Solve 2*n = -4, -5*k = d*n - 3*n + 19 for k. -3 Let g be 6 + (180/9)/(-4). Let z(c) = 5*c**2 + 7*c - 7. Let h be z(g). Solve -n + 7 = -h*o, 5*o = -n + 4*o - 5 for n. -3 Suppose 8*q = 5*q + 15. Suppose -4*c - 4*z + 12 = -3*c, -5*z = -q*c + 135. Solve -2 = -3*a - j + 10, -3*a = -3*j - c for a. 5 Let f(k) be the first derivative of k**4/4 - 37*k**3/3 + 73*k**2/2 - 103*k + 107. Let z be f(35). Solve -z*j + 3*j - 5*n = 11, j + 4*n = -16 for j. -4 Suppose -5 = y - 7. Let i be ((-6)/y)/(18/(-30)). Solve 0 = -2*o + 5*m, -i*o - m = -0*m for o. 0 Suppose 19*x = 20*x - 18. Suppose x*i + 11 = 17*i - 5*q, -3*q = -2*i + 17. Solve i = -4*b + 2*b + 2*f, -2*f + 4 = 0 for b. 0 Let f = 14 + -17. Let a(m) = 2*m + 12. Let j be a(f). Suppose -4*q - j = -3*y, q - 2*q - 10 = -5*y. Solve y*l - 2*x + 16 = 4, 0 = -l - 5*x for l. -5 Let r(i) = -i - 4. Let z be r(-7). Suppose 7*h - 60 = 3*h. Suppose 2*u - 2*q + 5*q - h = 0, -5*u + 5 = q. Solve -s - 9 = -l, -s - z*s - 5*l = u for s. -5 Suppose -z + 3*t - 8 = t, -t + 4 = -5*z. Suppose z = p - 4*p. Let x be (-6)/18*(15 - 21). Solve p = -5*b - 2*r + 10, -x*b + 4*r + 32 = b for b. 4 Let a = 16324 + -16322. Solve 33*j - a = 4*i + 30*j, -3*i = -j + 4 for i. -2 Let n(i) = -i**2 + 4*i + 14. Suppose -3*y = -s, s - 2*y + 6*y = 14. Let o be n(s). Suppose o*x = -1 + 9. Solve -4*f + 13 + 7 = x*g, g + 3 = f for g. 1 Let t(x) = 17*x - 7. Let i be t(-4). Let k = i + 63. Let l = -7 - k. Solve 0 = -g - 4*q + 8, 0 = 3*g - g + l*q - 10 for g. 0 Suppose 0 = 17*z + 810 - 1655 + 777. Solve -z*x = -2*t - 17 + 13, x + 1 = 0 for t. -4 Let j be 4/6 + 5/15. Let g = j - -4. Let x = 23934 - 23918. Solve 3*h + 5 = v + x, g*v + 3 = 2*h for v. 1 Suppose -16*x = -22*x - 72. Let i be 1 - 8/x*(-30)/(-4). Suppose i*j = 12*j - 12. Solve 4*o + 18 = 2*m, o = -j*m - o - 6 for m. 1 Suppose 590 = -2*a + 632. Suppose -a = 1174*z - 1181*z. Solve 0 = -2*p - k - 3, -3*p + k - 5 = z*k for p. -1 Let k be (7 + -3)/(10/15). Let u be 68/6*(-9)/k. Let o = u - -29. Solve o = -2*i - 4*h, -3*i = i - 3*h - 20 for i. 2 Let t(x) = 8*x + 110. Let l be t(-13). Solve 30 = -5*h + 5*z, 22*z = -5*h + 21*z - l for h. -2 Let t = 4804 - 4801. Solve v = -2*m - 1, -36*v + t*m + 15 = -33*v for v. 3 Let l be (2 - 176/99)/(3 + (-130)/45). Solve 0*y = -m + l*y + 13, -m = -y - 8 for m. 3 Suppose 3*c - 3023*v + 3024*v = -13, -3*c + 65 = -5*v. Let a be 94/18 - 10/45. Solve j - a*t + t - 20 = c, 0 = -3*j + 4*t + 28 for j. 4 Let o(j) = 8*j + 101. Let l be o(-13). Let r be -2*-1*(l - -4). Solve -f + r*f - 4 = -t, 0 = -3*f + 15 for t. -1 Let u = -3684 - -3686. Solve 0 = 5*d - 2*z - 11, -u*d + 4*z = 5*z - 8 for d. 3 Let j be (-192)/(-33) - (24/(-44))/3. Let y = j - 31. Let x be ((-48)/(-10))/((-10)/y). Solve -5*h = -k + 4, 0*k = 3*k - x for h. 0 Let u(c) = 3*c**2 + 457*c + 908. Let p be u(-2). Solve 3*m = -4*z - 18 + p, m - 3*z - 9 = 0 for m. 0 Suppose 0 = -7*t - 19*t - 52. Let l be (50/20 + -3)/(t/12). Solve l*c + 3*x = -0*c - 9, -x = 0 for c. -3 Let k be 4/(-36) - 1/(-9). Suppose 2*i + k*i = 4. Suppose -r - 4*n = 2*r - 48, -54 = -4*r - 2*n. Solve -3*q + 4*o = q + r, -5*q + 6 = i*o for q. 0 Let a be 7/140 - (-1399)/20. Solve -a*m - 20 = -75*m - n, 2*n = 0 for m. 4 Let y be 157 - -4*(-21)/(-28). Let c = y + -158. Solve 5*s - 3*r - c*r + 10 = 0, 0 = 4*r for s. -2 Suppose 6 = 2*t + 2. Suppose -3*n = 3*v - 18, -5 =
{ "pile_set_name": "DM Mathematics" }
35 Product of -1028 and -0.1. 102.8 Multiply -13.33 and -3. 39.99 0.38 * 3.3 1.254 Multiply 0.1 and -242. -24.2 Work out -3 * 546. -1638 Product of -0.1 and 0.18. -0.018 0.132 * -1 -0.132 Multiply 181 and 0.9. 162.9 -0.4*-0.34 0.136 What is the product of -0.4 and -34? 13.6 59 times 0.1 5.9 942 * 22 20724 What is -25.7 times 28? -719.6 Calculate 0.1*29.91. 2.991 316*-4 -1264 5116 times 1 5116 What is -381 times 105? -40005 Work out -0.1 * 9.7. -0.97 -0.1*0.0425 -0.00425 What is 862 times 3? 2586 Multiply 0.9 and -3242. -2917.8 What is the product of -6004 and -3? 18012 Work out 0.3 * -162. -48.6 What is -0.03 times -652? 19.56 -0.2 times 2 -0.4 Multiply -0.1 and -2392. 239.2 What is -0.104 times 0.5? -0.052 What is the product of -19 and -34? 646 Product of 4 and 2975. 11900 26 * 0.16 4.16 18*5 90 What is -174 times 0.9? -156.6 What is the product of -0.5 and 0.58? -0.29 1 times -603 -603 -2040 * -4 8160 Multiply 5 and 1686. 8430 What is -0.1 times -110? 11 -0.052 times 0.1 -0.0052 Multiply -1.5398 and 0.4. -0.61592 Product of -0.4 and -2.66. 1.064 What is the product of -0.002 and -0.5? 0.001 -5*2003 -10015 Product of 0.5 and -83. -41.5 -11*111 -1221 Multiply -9.3 and -0.4. 3.72 17 * 35 595 What is the product of -0.1 and 0.1? -0.01 Calculate -9508*3. -28524 180 times -8 -1440 2799 times -4 -11196 -0.2 * 0.3 -0.06 Multiply 958 and -3. -2874 Multiply -0.012 and -16. 0.192 -663 times -2 1326 Multiply -356 and -22. 7832 Multiply -0.1901 and 0.5. -0.09505 Work out -2 * 97. -194 -1 * 1268 -1268 -0.311 times 0.3 -0.0933 Multiply 2540 and -0.3. -762 -10.3*0.1 -1.03 What is 0.87 times -1? -0.87 0.5 times 0.0496 0.0248 -0.3 * -43 12.9 Work out -2.6 * 4.2. -10.92 1205*5 6025 What is the product of 6 and 249? 1494 Work out -0.0476 * -4. 0.1904 -1 times -0.0783 0.0783 0.0137 times -6 -0.0822 What is the product of 1.15 and -81? -93.15 -0.7 times -116 81.2 Calculate -0.5*55. -27.5 What is 0.04 times -10.69? -0.4276 Calculate -0.4*230. -92 What is -0.04 times 2415? -96.6 -4371 * -0.4 1748.4 What is the product of 0.1 and -445? -44.5 What is the product of -2394 and 0.04? -95.76 Multiply -101 and 3. -303 -19 times 0.22 -4.18 What is the product of 7 and -1.12? -7.84 Work out 7 * 0. 0 276 times 1 276 3 * -555 -1665 Calculate -58*11. -638 Work out 5.325 * 0.3. 1.5975 135*-18 -2430 Calculate 0.02*-2315. -46.3 Work out -3228.8 * 0.1. -322.88 Multiply 1 and 238. 238 -36 times -99 3564 4 * -5.6 -22.4 Work out 312 * 0.4. 124.8 What is 1.6 times 12? 19.2 What is -108.4 times -2? 216.8 Product of -1438 and -0.2. 287.6 What is 0.04 times 81? 3.24 -37.1 times -7 259.7 87.56*1 87.56 0.1*5.399 0.5399 -0.4 * -1 0.4 What is the product of -5 and -1292? 6460 Product of 10.41 and -0.1. -1.041 Calculate -0.4*87. -34.8 Product of 0.38 and 0.057. 0.02166 0.02*6 0.12 What is the product of 2244 and 0.03? 67.32 What is the product of -1 and -56? 56 What is the product of 7 and -0.01? -0.07 Multiply -3 and 9.367. -28.101 Work out 0.3 * -0.137. -0.0411 Multiply 1.25 and -4. -5 Multiply 0.7 and -16. -11.2 0.26*2.1 0.546 1 * 55 55 Multiply 2 and -16. -32 -6.6*-9.6 63.36 What is the product of 8 and -0.077? -0.616 Calculate 0.5*354. 177 What is -7 times -60? 420 4.1*-4 -16.4 Work out -0.12 * 0. 0 What is the product of 1556 and -1? -1556 What is 109 times -5? -545 What is 17 times -0.1? -1.7 What is the product of 0.41 and -64? -26.24 -192 * -0.1 19.2 What is the product of 0.6 and -0.044? -0.0264 Work out 9 * 32. 288 Work out 2 * 77. 154 5.5 * -1 -5.5 Work out -3 * 0.07. -0.21 Calculate -244*-4. 976 Multiply 40 and -18. -720 What is -680 times 5? -3400 What is 0.5 times -1.1? -0.55 Work out 0.1 * -0.085. -0.0085 What is the product of -0.821 and -0.5? 0.4105 1540 * 0 0 Work out -97 * 0.62. -60.14 -10495 * -5 52475 Product of 4 and -0.072. -0.288 Product of 0.17 and -1. -0.17 Product of 3 and -6. -18 What is 1.196 times 1? 1.196 Calculate -0.68*15. -10.2 0.3055 times -2 -0.611 0*-0.717 0 1.187 * -0.1 -0.1187 Work out -1.4 * -1.4. 1.96 Calculate 3*294. 882 What is 4.5 times 0? 0 What is the product of 0.7811 and -3? -2.3433 834*-1 -834 92*0.09 8.28 What is 0.1 times -185? -18.5 -3 * 290 -870 2 times -3.03 -6.06 -12*1.8 -21.6 What is 0.22 times 20? 4.4 Work out 1124 * 4. 4496 Work out -524.6 * -0.2. 104.92 -16 * -12 192 Calculate 5*273. 1365 What is the product of 0.2 and 194? 38.8 What is the product of -0.4 and -0.012? 0.0048 What is the product of -4 and -0.216? 0.864 Work out -0.4 * -449. 179.6 Multiply -2060 and -3. 6180 -16*-0.15 2.4 What is the product of 6 and -0.28? -1.68 What is the product of 446 and 1? 446 Product of 0.0543 and 0.1. 0.00543 Product of 0.296 and 0.1. 0.0296 0.74 * -0.26 -0.1924 Product of 0.033 and 5. 0.165 -1 * 0.1017 -0.1017 What is the product of 127 and -92? -11684 Calculate 160*-0.3. -48 What is the product of -0.01 and -3130? 31.3 -14 times 1 -14 Calculate -3.2*-80. 256 What is the product of -4 and 0.61? -2.44 Product of -0.5 and 205. -102.5 Calculate 2*-0.145. -0.29 What is -0.05 times 158? -7.9 -4 times -0.47 1.88 10*23 230 6.47*0 0 Product of -118 and -0.85. 100.3 What is the product of -2 and 8.1? -16.2 Work out -0.06 * -0.06. 0.0036 Calculate -324*0.4. -129.6 What is the product of -38 and -2? 76 What is -0.5 times 33.56? -16.78 What is -450 times 0? 0 Calculate 50*0.5. 25 What is 2254 times -0.03? -67.62 What is the product of 0.4 and 13? 5.2 Work out 19.6 * 0.09. 1.764 61 times -0.7 -42.7 Product of -0.1 and 176. -17.6 What is the product of 5 and -2? -10 Work out 639 * -0.01. -6.39 What is 0.5 times -0.462? -0.231 What is 37 times -0.03? -1.11 Work out 0.023 * -2. -0.046 6196 * 5 30980 What is the product of 295 and -3? -885 Calculate -185*-6. 1110 Product of -37 and -2.6. 96.2 Product of 332 and 0.1. 33.2 12 times 12 144 Calculate -23.894*0.2. -4.7788 Multiply 0.4 and -45.9. -18.36 -5.6*-37 207.2 Calculate 0.282*2. 0.564 What is -1456 times 0? 0 Calculate -0.0112*-0.2. 0.00224 0.24*-4 -0.96 4 times -4 -16 53 times 5 265 41.7 * 3 125.1 Multiply -2 and -108. 216 What is the product of -0.1 and -0.28? 0.028 0.3*-3.44 -1.032 What is the product of 8.3 and 0.9? 7.47 -51 * 67 -3417 What is 7 times 67? 469 -0.4 times 14 -5.6 Calculate -0.02*895. -17.9 2 * -3838 -7676 What is -0.05 times -0.091? 0.00455 Multiply -93.4 and -5. 467 5 times -390 -1950 -0.5 times 3.2 -1.6 What is the product of -3939 and -0.3? 1181.7 93 * 0.1 9.3 -56.3 times 0 0 Calculate -0.133*-2. 0.266 -0.2 times 148.5 -29.7 Work out 0.7 * 214. 149.8 11.3 * -0.13 -1.469 3.5*0.177 0.6195 Product of -247 and -2. 494 What is 0.75 times 12? 9 5*-50 -250 What is -2.08 times 0.1? -0.208 Work out 0.0576 * 5. 0.288 750 times -1 -750 Multiply 4 and 10. 40 -0.049*-0.08 0.00392 Product of -29.7 and 45. -1336.5 Multiply 4 and 2076. 8304 What is the product of 5 and 997? 4985 Calculate 0.5*385. 192.5 13 times -0.05 -0.65 4 * -0.393 -1.572 -14.39*0.8 -11.512 Multiply -6 and 45. -270 294 * -4 -1176 Calculate 0.1*273.9. 27.39 0.138 times -3 -0.414 Product of -0.2 and 2. -0.4 What is -0.3 times 0.0542? -0.01626 Multiply -126 and -2. 252 -0.4 times 0.006 -0.0024 Product of -161 and 0.4. -64.4 What is -0.3 times -2818? 845.4 Multiply -1 and 330. -330 1.14 * 0.2 0.228 Work out -26 * -0.306. 7.956 3086*-0.5 -1543 1.5*-2370 -3555 Work out 3.576 * -0.1. -0.3576 Product of 0.9 and -0.309. -0.2781 What is -866 times -0.2? 173.2 Calculate 1.1*-0.037. -0.0407 Product of 972 and -0.4. -388.8 What is the product of -2.8 and -0.26? 0.728 -0.05 * 11 -0.55 Work out -36 * -0.2. 7.2 Multiply -0.0617 and 3. -0.1851 Multiply 143 and -82. -11726 -2.4 times 3 -7.2 6 times -91 -546 9.43 times -33 -311.19 What is -566 times 0? 0 3*0.99 2.97 Product of -0.01 and -11. 0.11 -0.6 * -8 4.8 Work out 288 * 7. 2016 Multiply 3.9 and -50.9. -198.51 105*-0.1 -10.5 -4*9.8 -39.2 What is the product of -170.6 and 0.5? -85.3 Calculate -0.3*-8. 2.4 What is -0.5 times 19? -9.5 -3*4 -12 What is the product of -10137 and 0? 0 Work out 4 * 5.9. 23.6 What is the product of -2 and 1.01? -2.02 What is 2 times -23.2? -46.4 Calculate 0.3*-92. -27.6 -3519 * -4 14076 What is the product of 0.5 and -19? -9.5 Product of 0 and 6.5. 0 What is 5 times -99? -495 What is -2.37 times -4? 9.48 44 times 0.054 2.376 Product of -2 and 0.1311. -0.2622 What i
{ "pile_set_name": "DM Mathematics" }
*r + 5*b*h*r - 2*g*h wrt b? -12*g**2*r + 3748986222*g*h*r Find the third derivative of -3488023*k**6 + k**2 - 7*k + 63216. -418562760*k**3 What is the first derivative of -79847390*k**4 + 72821669? -319389560*k**3 Differentiate 6*i*u**4 - 248*i*u - 13472748*i + 1034*u**4 with respect to u. 24*i*u**3 - 248*i + 4136*u**3 What is the second derivative of 20*d**3*h**2 - d**3*y + 22*d**3 - 2170675*d**2*h**2*y + 1222*d*h*y + 53 wrt h? 40*d**3 - 4341350*d**2*y What is the third derivative of 17400969*h**4*k**2 + h**4*k - 18052*h**2*k**2 + 921*k**2 wrt h? 417623256*h*k**2 + 24*h*k Differentiate -2*m**3 + 44587805*m**2 - 147159714. -6*m**2 + 89175610*m Find the third derivative of 1867070*v**4 + 4*v**2 - 1287763. 44809680*v What is the third derivative of 280*l**3*y**3 + l**3*y**2 + 117*l**2*y - 2495*l*y**2 - 7186*y**4 - 3 wrt y? 1680*l**3 - 172464*y Differentiate 14*b*q**3 + 302*b*q**2 + 79*b*q - 925725*q**3 + 4 wrt b. 14*q**3 + 302*q**2 + 79*q What is the third derivative of 2*i**4*w + 2*i**4 + 3*i**3*w + 369593*i**3 - i**2*w + 1368*i**2 - 5*i*w wrt i? 48*i*w + 48*i + 18*w + 2217558 Differentiate -136657*i*l*q + i*l - 32*i*q - 4089*i - 4*l + 3*q - 17 with respect to q. -136657*i*l - 32*i + 3 Find the third derivative of 54*w**3*x**3 - 6*w**3*x + 1831*w**3 - 232855*w**2*x**2 + 19*x**3 wrt w. 324*x**3 - 36*x + 10986 Differentiate 46102993*b - 15332378. 46102993 What is the third derivative of -77*g**5*p + 48977*g**3*p + 17*g**2*p + 4*g**2 + 14*p - 2891 wrt g? -4620*g**2*p + 293862*p Differentiate 33*n**4 - 309391*n**3 - 41006497. 132*n**3 - 928173*n**2 Find the second derivative of k**2*q*w**3 + 11736852*k**2*q*w**2 + k*q*w**3 - 2*k*q + 6*q*w - 28780 wrt k. 2*q*w**3 + 23473704*q*w**2 What is the first derivative of 3*c*l**2 - 849680*c*l - 1224*l**2 + 104 wrt c? 3*l**2 - 849680*l What is the third derivative of 1379*a**2*f**3 - 958*a**2*f**2 + a**2*f - 832*a**2 + 2*a*f**2 - 6721*f**3 - f**2 wrt f? 8274*a**2 - 40326 What is the third derivative of -235*i**5 - 1835*i**4 + 3*i**3 - 41508751*i**2 wrt i? -14100*i**2 - 44040*i + 18 What is the second derivative of 2*a**2*v**2 - 113*a**2 + 107*a*v**2 + 453*v**2 + 1911*v wrt v? 4*a**2 + 214*a + 906 Differentiate -5*m*t**3 + 698339*m*t**2 + 14625782*m with respect to t. -15*m*t**2 + 1396678*m*t Find the second derivative of 80794*n**4 + 102*n**2 - 191*n - 9664 wrt n. 969528*n**2 + 204 What is the derivative of 193781240*y - 251339324 wrt y? 193781240 What is the first derivative of 967957558*n**2*o - n**2 + 517488351 wrt o? 967957558*n**2 What is the second derivative of 12870805*l**3 - 29*l - 13050 wrt l? 77224830*l What is the second derivative of 2*l**4 + 110*l**3 - 36735*l**2 - 93320606*l? 24*l**2 + 660*l - 73470 Find the second derivative of -18*i**2*j**3 + 9*i**2*j**2 + 11*i**2*j - 2*i**2 - 2*i*j**3 + 997512*i*j**2 - 2*j**2 wrt i. -36*j**3 + 18*j**2 + 22*j - 4 Find the second derivative of 45365012*g**3 - 2804*g - 716. 272190072*g Find the second derivative of -277249206*f**3 + f**2 + 2*f + 136243087. -1663495236*f + 2 Find the third derivative of -65*l**3*o**2 - 841*l**3*o + 2*l**3 - 2*l**2*o**2 + 2*l**2*o - 3*l*o**2 - 10*l*o + 9*o**2 - 73 wrt l. -390*o**2 - 5046*o + 12 What is the third derivative of -26650979*t**3 + 12988872*t**2 wrt t? -159905874 What is the second derivative of -4729418*l**4 + 4950617*l? -56753016*l**2 Differentiate -253*i**3 + 11805*i**2 + 11766676 wrt i. -759*i**2 + 23610*i What is the third derivative of 30712940*c**6 - 359243*c**2 - 84*c wrt c? 3685552800*c**3 What is the third derivative of 887*g*l**5 - 5*g*l**3 - 3*g*l**2 - g*l + 52*l**3 - 3*l**2 + 5913 wrt l? 53220*g*l**2 - 30*g + 312 Find the second derivative of 48819524*v**4 + 369682497*v wrt v. 585834288*v**2 What is the second derivative of 1004*f**3 - 9203*f**2 - 7865*f - 795 wrt f? 6024*f - 18406 Find the second derivative of 69363845*n**2 - 53677876*n wrt n. 138727690 What is the third derivative of 705087269*y**3 + 3*y**2 + 53385966*y wrt y? 4230523614 Find the second derivative of 9444492*o**3*w - 8*o**2*w**3 - 8553*o*w**3 - 378*o*w wrt o. 56666952*o*w - 16*w**3 What is the second derivative of 313*f*t**3 + f*t**2 + 2851*f*t - t**3 + 319*t**2 - 708 wrt t? 1878*f*t + 2*f - 6*t + 638 Find the first derivative of 6692861*m - 7356536. 6692861 What is the third derivative of 7531*b**3*u**3*y + 13*b**3*y**2 - 63*b**3 + 12*b**2*u**3*y**2 + 73*b**2 + 67*u**3 - 10*u**2*y**2 wrt b? 45186*u**3*y + 78*y**2 - 378 Differentiate 623*h*l**2 - 844333*h + 119*l**2 wrt l. 1246*h*l + 238*l What is the second derivative of 510742*p**4 - 322*p**3 - 2627188*p + 2? 6128904*p**2 - 1932*p Find the third derivative of d**6*y + 670785*d**4*y**3 + 5*d**2*y**3 - 6*d**2 - 43*d*y**2 + d + 687*y**3 wrt d. 120*d**3*y + 16098840*d*y**3 Differentiate b*l*z**3 + 514339*b*l*z**2 - b*l*z - 904*l*z**3 - 1047*z**3 - 7*z with respect to b. l*z**3 + 514339*l*z**2 - l*z Find the third derivative of 40*c*i**6 - 204814*c*i**4 + 2*c*i**2 + 13918*c*i - 2*i**2 + 2591*i wrt i. 4800*c*i**3 - 4915536*c*i What is the third derivative of 40814*n**4 - 3715*n**3 - 305*n**2 + 4*n + 6091 wrt n? 979536*n - 22290 What is the first derivative of -300429067*v + 215151033? -300429067 Find the second derivative of -37768*f**3*n**3 - 221*f**3*n + f*n + 111093866*n**3 wrt f. -226608*f*n**3 - 1326*f*n What is the derivative of -k**2*s - 2729342*k**2 - 10*k*s + 257073*s wrt s? -k**2 - 10*k + 257073 What is the derivative of 121739918*a*f**2*u**3 + 4*f**2*u**3 + 52313413*u**3 wrt a? 121739918*f**2*u**3 Find the third derivative of 10079950*t**4*x**3 + 4*t**4 - 4*t**2*x**3 - t**2*x - 19108181*t*x wrt t. 241918800*t*x**3 + 96*t Find the second derivative of 104319*d**3 + 72*d**2 - 12946136*d. 625914*d + 144 What is the second derivative of -2772321*s*t**2 - 30*s*t - 2*s - 22*t**2 + 711513*t wrt t? -5544642*s - 44 What is the third derivative of -a**4 - 13901254*a**3 + 70369*a**2 - 3*a wrt a? -24*a - 83407524 What is the first derivative of -4*f**3 + 2*f**2 - 781551*f - 164594688 wrt f? -12*f**2 + 4*f - 781551 What is the second derivative of -1044358885*l**2*n**2 + 9*l*n**2 - 117*l*n + 2*l + 118*n**2 + 5*n + 4 wrt l? -2088717770*n**2 Find the first derivative of -36271*q**2*y - q**2 + q*y - 18*q + 62609548*y wrt q. -72542*q*y - 2*q + y - 18 Find the second derivative of 56331*z**4 - 115*z**3 + 2*z**2 - 22169468*z. 675972*z**2 - 690*z + 4 Find the second derivative of 113345741*h**3 - 593203823*h wrt h. 680074446*h What is the third derivative of 2980888*k**6*q**3 - 6*k**6 - 21*k**2*q**2 + k*q**3 - 2*k*q**2 + 109*k - 3*q**3 - q wrt k? 357706560*k**3*q**3 - 720*k**3 Find the second derivative of -7584798*n**2*z**3 - 2*n**2*z**2 + 8*n**2*z + 140312*n*z**2 - z**3 - 2272 wrt n. -15169596*z**3 - 4*z**2 + 16*z Find the third derivative of -34742206*y**3 - 47345844*y**2. -208453236 What is the first derivative of 18663501*y**2 - 40724238 wrt y? 37327002*y What is the third derivative of -3068*o**4 + 23784*o**3 + 290341662*o**2? -73632*o + 142704 What is the second derivative of -15866*o**2*p**2*x**2 - 21*o**2*p**2*x + 2*o**2*p*x**2 + 37*o**2*p + 519*p*x**2 wrt p? -31732*o**2*x**2 - 42*o**2*x What is the first derivative of 205906236*w**3 - 434829730 wrt w? 617718708*w**2 Find the third derivative of -2670*b**3*s**3 + 4*b**3*s + 174*b**3 + 3*b**2*s**3 - 2*b**2 + 3*b*s**3 + 246*b*s - 2*b + 192*s**3 wrt b. -16020*s**3 + 24*s + 1044 What is the second derivative of 10022730*l**4 - l**2 + 29795645*l? 120272760*l**2 - 2 Find the second derivative of -177192332*a**2*b**3 + 3*a*b**3 + 2*a*b + a - b + 2992 wrt a. -354384664*b**3 Find the third derivative of -57819*w*y**5 + 5738*w*y**2 - 2*w*y + 1824*y**6 - 647*y wrt y. -3469140*w*y**2 + 218880*y**3 Find the third derivative of -12294373*g**5 - 1541*g**2 + 32*g - 37. -737662380*g**2 Find the first derivative of 4*u*x*z**2 + 8567*u*x*z + 4*u*x - 2*u + 17697704*x - 4454*z**2 - 1 wrt z. 8*u*x*z + 8567*u*x - 8908*z What is the second derivative of 1860975*g**4 + 6366590*g? 22331700*g**2 Find the second derivative of 44511*a*z**2 - 13*a*z + 116426*z wrt z. 89022*a What is the second derivative of 8150*b**4*u**2 + 1644*b**3*u - 2*b*u**2 + 1177*b*u + b + 17*u**2 + u wrt b? 97800*b**2*u**2 + 9864*b*u What is the second derivative of -14630892*y**2 + 2870399*
{ "pile_set_name": "DM Mathematics" }
66)? 73 Evaluate -2 + 2 + 3 + (-7 - 0) + 163 + -174. -15 Calculate 116 + -194 + 50 + 24 + -1. -5 Calculate 1 - -64 - (-26568 + 26688). -55 What is the value of -17 + (-6 + 2 + 9 + 10 - 15)? -17 -9 + 9 + 3 + (-26 - (-5 - 7)) -11 Evaluate 22 + -54 + (4 - -51) + 0 + -111. -88 (-41 - -25) + 6 - (77 + -12) -75 What is 57 - -2 - (56 - (27 - -5))? 35 What is 28 - (-15 + -17 + (35 - 6))? 31 Calculate -3 + -32 + 5 + -11 + -4 + (-36 - -46). -35 (360 - 372) + (7 + (8 - 13) - (-2 - 0)) -8 Calculate 92 - (36 - (30 - (-18 - -42))). 62 What is the value of -92 + -1 - (17631 + -17664)? -60 12 + (11 - (159 + -155 + -13 + 0)) 32 Calculate 10 + 12 + -1 + -20 + -8 + 4 + 21. 18 What is -50 + (151 - 38) - -37 - (-12 - (-2 + 0))? 110 Calculate -26 + (42 + -39 - -18). -5 Calculate -86 - (11 - (-4 - -24)) - -5. -72 What is the value of -50 + 0 - (-1658 - -1627)? -19 What is 6 - -52 - (46 - 38)? 50 What is 50367 - 50322 - ((-1 - 95) + -2)? 143 -46 - (-48 + -84 + 75) 11 What is -2 - (0 + -1) - (1661 - 1669)? 7 -45 + 2 - (3081 - 3047) -77 What is the value of 14 - (11 + -4) - (29 - 32)? 10 (-36 - -106 - 29) + -60 -19 What is 8 - (10 + (-12 + -12 + 10 - -2)) - -91? 101 Evaluate 8 - (-43 + 18 + 9 - -9 - -21). -6 Evaluate 18 + 14 + -15 + (17 + -8 - -3). 29 What is -3 + 56 + (18 - (-13 + 53))? 31 -126 + (22 - (-10 + -18 + 43)) -119 Evaluate -413 + 410 + -1 + -5 + -3 + 111. 99 What is (37 - -1) + 5 + 19 + -11 + -7? 44 What is -6 + 4 + 8 + (-150 - -132) + 16? 4 What is the value of -2 - -82 - (-11 + -134 - -149)? 76 Calculate ((12 - -29) + -31 - (-32 - 0)) + 2 - 14. 30 What is 27 + (116 - 105) + (-1 - 5) + 1? 33 Calculate -2 - 1 - (11 - -1 - (43 + 42 + -78)). -8 What is 1 + -20 + (-18 - -105) + -63? 5 Evaluate 7 + -4 + (9 - 73). -61 Calculate (1 + 23 - (28 + -19)) + -124 + -2. -111 (3 - -64) + 1 - (2583 + -2553) 38 Calculate 36 - (5 + ((8 - 14) + 15 - 8)). 30 What is the value of (8 - 4) + 26 - 5 - 18? 7 What is the value of 23 + -3 + (16 - 167) + 98? -33 -1 - -1 - (-37 + -326 - -266) 97 Evaluate 15 - (6 + 7 + 59 + 14). -71 What is (9 - -13 - ((-1 - 13) + -66)) + 0 + 14? 116 What is (-1 + 1 + 1 - (8114 + -8119)) + -5 + -36? -35 What is (-26 - -9) + 92 + (-6 - (20 + -2))? 51 What is 359 - 330 - (4 - 20)? 45 Calculate 2 + -20 - (-56 - (-55 - -17)). 0 -5 - (59 + -13 + 14 + 12) -77 Evaluate (-112 - -114) + 3 + -4 + 3 + -53. -49 Calculate (-1 - -7) + -3 + (6 + (15 - -9) - 4). 29 (-35 - 1) + (-39 - -20 - -26) -29 What is the value of -32 + 10 - (-20 - 3 - 17)? 18 Calculate (-19 - (-5 + -1)) + -90 + 64 - (-2 - -1). -38 Evaluate (-4 - -29 - 7 - 14) + -6. -2 Evaluate 77 + -26 + -179 + (18 - (4 - 6)). -108 (5 - 116) + -1 - -110 -2 What is the value of -27 + 29 + (19 - (-8 + 0 - (-12 + 7)))? 24 Evaluate (1 - -32) + -913 + 915 + -75. -40 What is the value of (-65 + 23 - -73) + -32? -1 Calculate 38 + -8 - (1 + -3 + 6) - (467 - 469). 28 -87 + (34 - 7) - -29 -31 Calculate (35 - -45) + (50 - 86). 44 4 + (8 - 25) + 10 + 12 + -8 + -65 -64 Evaluate -3 + (-22 - (13 + -8 + 5)). -35 Evaluate -9 - 15 - ((26 - 32) + 22). -40 (-22 - (4 - 14)) + (63 - ((4 - 2) + -11)) 60 Calculate -14 - (-3 + -9 - (2 - 10) - -4 - -45). -59 What is (-18 - -9) + 6 - 10 - (6 - 2 - 50)? 33 What is the value of -8 + 51 - ((7 - 17) + 30)? 23 What is the value of -5 - (4 - 6) - (14 + (-44 - -20))? 7 What is the value of (-105 - -85) + 7 + -3 + 4? -12 What is the value of (-68 - (-79 + -8)) + -62? -43 What is -18 + -34 + 12 + 50 + -5? 5 What is the value of (-10 + ((-1 - 4) + 10 - -4) - -11) + -42? -32 Evaluate -1 + -20 + (2632 - 2710). -99 Calculate 27 - (-43 + (50 - (31 - -1))). 52 Evaluate -211 - -256 - (5 + -14). 54 What is the value of (0 - 9 - 2) + (1 - -51 - (1152 + -1121))? 10 -9 + -9 + -3 + 12 + (11 + 1 - -60) 63 What is the value of -5 - -12 - -4 - (-101 + 93 - -159)? -140 Evaluate 24 + -40 + (8 - -50). 42 Evaluate -3 + -1 - (2892 + -2981). 85 Calculate -2 + 9 - ((-14 - -36 - 10 - 6) + 13). -12 Evaluate 112 + -108 + 84 + -53. 35 What is -65 + 14 + 50 + (-1 - 57)? -59 (-11 - 3) + (8 - (81 + 0 + 22 + -13)) -96 Evaluate 2 + 113 + -106 + (6 - (14 + -1 - -4)). -2 (22 - 2) + (106 - 139) + 9 + 1 - -7 4 What is the value of (1 + (-6 - (1 + 8)) - -7 - 8) + -7? -22 Calculate -110 + 39 - -60 - (-1 - (10 - -2)). 2 -4 + ((58 - 28) + -31 - (-42 + 0)) 37 Calculate (-58 - -39) + (13 - 0) + -5 + 61. 50 What is the value of (-47 - -42 - 9 - (-15 + 0)) + -1 + 37? 37 Calculate 9 + (52 + -90 - 7). -36 Evaluate 96 + -45 + -58 + -3 + 1 + -2. -11 14 + 16 - (72 + -19) -23 What is the value of 56 + (14 - (-22 - -71))? 21 What is the value of ((-9 - -4) + -92 - 29) + 6? -120 Evaluate 1175 - 1153 - (-44 - (3 - 4)). 65 Evaluate 61 + -51 + (-97 + 91 - (0 + 69)). -65 Evaluate (-13 + 31 - -8) + -24 + -12. -10 -113 + 26 + -15 - (25 + -18) -109 What is the value of (1 - (3 - 0)) + (32 - 1 - 15 - 14)? 0 Evaluate (-4 - -12) + 23 + (11 - 27) + 16. 31 Evaluate -160 + 137 + -6 + -2 - -19. -12 66 + -24 + -9 - 3 - 160 -130 26 - 1 - (-1147 - -1123) 49 4 + -13 - (14 - (2 - (23 + -20))) -24 -5 + 51 + (-7 - ((-13 - -8) + -3)) - -5 52 What is 2 - -31 - (30 - (238 - 192))? 49 What is the value of (31 + -48 - (29 + -22)) + (15 - 2)? -11 Calculate 2 - 6 - ((123 - 120) + -30 + -5 + 2). 26 Evaluate (2 - 8) + 1 - (282 + -270). -17 What is -62 - 21 - (-4 + -5) - (13 + 0)? -87 What is 819 - 880 - (22 - 0) - -6? -77 What is -9 - -10 - 8 - (-32 - (-1 + -2))? 22 What is the value of (81 - 96) + 13 + 19? 17 What is the value of -75 + 48 + -14 - (-3 - -11)? -49 What is (-3 - (-38 + 92)) + 28? -29 What is the value of -7 + 1 - (-247 - -250) - -12? 3 Calculate 2 - (74 - 0 - (-3 - 53 - -68)). -60 Evaluate (-14 - -49) + (-20 - -11 - -21). 47 Calculate -137 + (-34 - (-34 + -35)) - -37. -65 What is the value of (7 + -7 - 4) + 6 - -11 - 21? -8 99 - (-2 - (-35 - 18)) 48 Calculate -2282 + 2291 - (0 + (1 - 1 - -4)). 5 What is (-14 - (-2 + 4)) + (11 - (-44 + -42))? 81 What is the value of -139 + (46 - (-55 - -19))? -57 What is -7554 + 7537 + (2 + -31 - 2) + 3? -45 Evaluate 3086 + -3036 + -156 + 3. -103 What is 6 + 3 + -5 + -5 + (-2 - 1) + 55? 51 Calculate -594 + 602 - (74 - -2). -68 Evaluate (12 - -58) + -15 + 9 - (-10 + -8 - -14). 68 What is the value of -9 + (-15 + -5 + 6 - (-55 - -3))? 29 Calculate -69 - (-31 + -48) - (1 - -34). -25 What is the value of -2 + (0 - (1 - 54)) + (12913 - 12916)? 48 What is (25 - -1) + 4031 + -4044? 13 Evaluate 19 - (68 - -1) - (6 - 9). -47 Calculate -3 - (-1 + -83 - (-112 + 116)). 85 What is (-4 - -2) + 312 + -293 + -2? 15 What is -66 + (77 - -6) + -6 + 2 + -2 + 10? 21 Calculate 35 + (-8 - -2) - 9 - (-9 - -5). 24 What is (-8 - -6 - -9) + 2 + (36 - 4)? 41 38 - ((-73 - -66 - (3 + -17)) + -15) 46 (142 + -151 - (1 + -12)) + (2 - (3 + -5)) 6 What is 69 + 2 + 384 + -464? -9 (1 - -24) + -73 + 111 + -10 53 What is (-3 - (2 + 0)) + (-36 - (-40 + -39))? 38 What is the value of -13 + 1 + (51 - (8 - (-8 + 10 + 10)))? 43 Calculate -82 + (215 - 71) + -51. 11 Evaluate (9 - (-7 + 80)) + (16 - (-8 + 16)). -56 Calculate (22 - (7 - 7)) + (20 - 10 - 22). 10 Calculate (5 - (16 + (-10 - 1) + 15)) + -2. -17 Evaluate (-103 - -101) + -4 + 2 - (-1 + -2). -1 Calculate 1 + -69 + (249 - 238). -57 What is (-104 - (11 + -41)) + 40? -34 20 - (-26 - -2) - (18 - 60) 86 What is 26 - (43 - -32) - (4 + -16)? -37 What is -7 + (1 + 0 - (42 - 33 - 12) - 23)? -26 Evaluate (46 - 1 - -2) + -315 + 303 - (6 - 6). 35 What is the value of (1 - -62) + (56 - (108 - 28))? 39 What is the value of (-249 - -223) + 4 + -2? -24 (57 - 0) + -7 + -40 + (73 - 19) 64 Calculate 1 + 0 - (64 + -16 + (-1 - -20)) - 12. -78 What is the value of -10083 + 10142 + 1 + -27? 33 Evaluate 0 + 12 + -467 + 463 + -25 + -2. -19 (-31 + 34 - (-6 - (-42 - 9))) + 0 -42 202 + -102 + -73 - 3 24 (-557 - -532) + 1 + -3 + 6 -21 Evaluate (0 + -1 - -7) + 3998 + -3991. 13 What is 9 + -14 - -6 - (19 + -9 - -41)? -50 Calculate 2 + -8 + 64 - -1 - (1 + (22 - 33)). 69 13 - (-4 - (6 + -48)) -25 What is (14 - 14) + (-2 - -3 - (9 - 11)) - 16? -13 What is (-41 - 2) + (63 - (-58 - -109))? -31 Calculate -7 + -1 + 30 + (-124 - -110) + 77. 85 Calculate 0 - (-5 + (-3 - (3 - 70)) + -4 + -2). -53 What is the value of -186 + 181 - (-22 - 0)? 17 What is (46 - (65 + -32)) + 12? 25 -39 + (-3 - 10) + 7 + 18 -27 Calculate -5 + -35 + (10 - 0 - 18 - -10 - 7).
{ "pile_set_name": "DM Mathematics" }
rs picked without replacement from {p: 3, t: 2, r: 3, h: 4, e: 6, s: 1}. Give prob of picking 2 s, 1 r, and 1 p. 0 Three letters picked without replacement from {s: 2, h: 2}. Give prob of picking 1 s and 2 h. 1/2 Calculate prob of picking 1 x and 2 o when three letters picked without replacement from ooooooooxoxoxooo. 117/280 Two letters picked without replacement from qjqjbkkukuqbqkju. What is prob of picking 1 k and 1 b? 1/15 Two letters picked without replacement from ytxuf. What is prob of picking 1 y and 1 f? 1/10 Calculate prob of picking 1 s, 1 p, and 1 v when three letters picked without replacement from {t: 2, s: 1, d: 1, p: 11, v: 1}. 11/560 What is prob of picking 3 w when three letters picked without replacement from wwnwnwwww? 5/12 Four letters picked without replacement from {e: 7, a: 4}. What is prob of picking 3 e and 1 a? 14/33 Four letters picked without replacement from mxxzm. What is prob of picking 1 z, 2 x, and 1 m? 2/5 Calculate prob of picking 2 n when two letters picked without replacement from {n: 5, a: 2}. 10/21 Three letters picked without replacement from {g: 2, v: 8}. What is prob of picking 3 v? 7/15 Calculate prob of picking 3 k when three letters picked without replacement from qzkzzzssgwkskqgsgwqg. 1/1140 Three letters picked without replacement from {y: 6, t: 13}. Give prob of picking 1 y and 2 t. 156/323 Three letters picked without replacement from vvkqqvroovq. Give prob of picking 1 q and 2 v. 6/55 What is prob of picking 2 y when two letters picked without replacement from wywyww? 1/15 What is prob of picking 1 w and 1 l when two letters picked without replacement from lwlw? 2/3 Calculate prob of picking 2 t when two letters picked without replacement from {v: 2, t: 2, u: 1}. 1/10 What is prob of picking 2 f when two letters picked without replacement from {p: 1, f: 5, g: 14}? 1/19 What is prob of picking 1 o and 1 f when two letters picked without replacement from {t: 3, h: 1, f: 1, o: 3, q: 3, y: 3}? 3/91 What is prob of picking 2 z when two letters picked without replacement from zllzllllldbllb? 1/91 Three letters picked without replacement from {p: 1, v: 1, h: 1, c: 4, n: 2}. What is prob of picking 2 c and 1 p? 1/14 Three letters picked without replacement from {a: 3, j: 8, f: 1, e: 3, c: 3}. Give prob of picking 1 e and 2 c. 3/272 Calculate prob of picking 1 k and 1 h when two letters picked without replacement from {k: 3, h: 5, v: 2}. 1/3 Two letters picked without replacement from {d: 6, t: 2, s: 1, c: 3}. Give prob of picking 1 t and 1 c. 1/11 Calculate prob of picking 2 t and 1 l when three letters picked without replacement from ltlltll. 1/7 Four letters picked without replacement from {z: 1, m: 1, v: 1, r: 1, a: 1}. What is prob of picking 2 z and 2 m? 0 Calculate prob of picking 1 u and 3 m when four letters picked without replacement from {m: 4, n: 8, u: 2, e: 5}. 2/969 Calculate prob of picking 1 i and 2 v when three letters picked without replacement from {m: 1, n: 1, i: 1, v: 2}. 1/10 Two letters picked without replacement from {g: 11, m: 2, a: 1}. What is prob of picking 2 m? 1/91 Four letters picked without replacement from kknkknknkkkknkkknnk. What is prob of picking 4 k? 715/3876 Calculate prob of picking 2 d and 2 c when four letters picked without replacement from vdvooooocodococooco. 1/646 Four letters picked without replacement from {x: 5, o: 8}. Give prob of picking 3 o and 1 x. 56/143 What is prob of picking 1 z and 1 u when two letters picked without replacement from gheguuz? 2/21 Three letters picked without replacement from {u: 7, e: 4, y: 2, z: 3, j: 1}. What is prob of picking 1 u, 1 y, and 1 e? 7/85 What is prob of picking 3 l when three letters picked without replacement from {l: 6, m: 2}? 5/14 What is prob of picking 1 j, 1 z, 1 a, and 1 l when four letters picked without replacement from {l: 6, d: 4, z: 1, t: 2, a: 4, j: 2}? 4/323 Two letters picked without replacement from ljiijllndjdj. What is prob of picking 2 d? 1/66 Four letters picked without replacement from {k: 5, b: 8}. Give prob of picking 4 b. 14/143 What is prob of picking 1 q and 1 o when two letters picked without replacement from loq? 1/3 Calculate prob of picking 1 k, 1 v, and 1 a when three letters picked without replacement from ktatktatetvtcvetav. 3/136 Four letters picked without replacement from {u: 1, y: 2, v: 7, o: 1, c: 7}. Give prob of picking 1 y, 2 v, and 1 u. 7/510 Three letters picked without replacement from kkktktkkkkktktkktk. Give prob of picking 3 t. 5/408 Three letters picked without replacement from {l: 2, c: 2, d: 2}. What is prob of picking 1 c and 2 l? 1/10 Four letters picked without replacement from bllbdebldellelwblbb. What is prob of picking 3 l and 1 e? 35/1292 Two letters picked without replacement from {s: 2, j: 10, i: 4, n: 1}. What is prob of picking 1 n and 1 s? 1/68 What is prob of picking 2 d and 1 k when three letters picked without replacement from {k: 1, s: 7, d: 6}? 15/364 What is prob of picking 2 m when two letters picked without replacement from {v: 5, m: 11}? 11/24 What is prob of picking 3 u and 1 c when four letters picked without replacement from {g: 3, c: 1, u: 3}? 1/35 Calculate prob of picking 2 m and 1 d when three letters picked without replacement from {m: 4, h: 3, d: 7}. 3/26 What is prob of picking 1 z and 2 w when three letters picked without replacement from wzwwzw? 3/5 What is prob of picking 2 c when two letters picked without replacement from {c: 6, b: 6}? 5/22 Two letters picked without replacement from zfzfuh. Give prob of picking 1 f and 1 z. 4/15 What is prob of picking 1 e and 1 t when two letters picked without replacement from atpei? 1/10 What is prob of picking 2 g and 1 z when three letters picked without replacement from {z: 2, g: 5}? 4/7 Calculate prob of picking 1 k and 1 s when two letters picked without replacement from {f: 6, s: 5, l: 1, r: 5, k: 2}. 10/171 What is prob of picking 1 p, 2 u, and 1 o when four letters picked without replacement from pooppquddupoppuqq? 27/1190 Calculate prob of picking 1 j and 1 n when two letters picked without replacement from ppwnjkh. 1/21 Three letters picked without replacement from ugrrgrrgkgrgrkgrv. What is prob of picking 3 g? 1/34 What is prob of picking 4 x when four letters picked without replacement from {v: 4, m: 2, x: 4, j: 4}? 1/1001 Calculate prob of picking 3 e when three letters picked without replacement from {n: 1, y: 7, e: 4, x: 3, h: 3}. 1/204 Four letters picked without replacement from {u: 5, p: 4, o: 2, s: 2}. What is prob of picking 2 p and 2 o? 6/715 Three letters picked without replacement from ett. What is prob of picking 3 e? 0 Calculate prob of picking 2 p when two letters picked without replacement from {p: 3, h: 4}. 1/7 Three letters picked without replacement from nnllzililjsn. Give prob of picking 1 i, 1 z, and 1 n. 3/110 Calculate prob of picking 4 q when four letters picked without replacement from qqqqqcqqcqcq. 14/55 What is prob of picking 1 v and 2 o when three letters picked without replacement from ovovoov? 18/35 Two letters picked without replacement from rovvoborooorn. What is prob of picking 1 o and 1 r? 3/13 Two letters picked without replacement from {s: 1, j: 1, o: 3, z: 10}. Give prob of picking 1 j and 1 z. 2/21 Two letters picked without replacement from yzollyzlzuuouzuul. What is prob of picking 1 z and 1 u? 5/34 Two letters picked without replacement from {t: 2, e: 4, q: 3, h: 1, c: 1, j: 1}. What is prob of picking 1 c and 1 q? 1/22 Calculate prob of picking 1 m and 1 u when two letters picked without replacement from uummuuuu. 3/7 Three letters picked without replacement from iiiiiiiii. What is prob of picking 3 i? 1 Calculate prob of picking 2 z and 1 x when three letters picked without replacement from {z: 3, w: 3, x: 1, c: 1, m: 2, e: 1}. 1/55 Two letters picked without replacement from qajqyhyqeqyj. Give prob of picking 1 q and 1 j. 4/33 What is prob of picking 2 y and 1 l when three letters picked without replacement from yyvllyxlyl? 1/5 Calculate prob of picking 2 x and 1 m when three letters picked without replacement from macrpxmrmxx. 3/55 Three letters picked without replacement from qqdwkaqwawwaqqa. What is prob of picking 2 q and 1
{ "pile_set_name": "DM Mathematics" }
)/z. Suppose 81 - 76 = -5*i. Which is the third smallest value? (a) y (b) i (c) -2 a Let s be -5 + 2 - 146/(-50). Suppose 4*k = k + 6, 4*u - 18 = 5*k. Let p = -7.555 + 7.255. Which is the fourth biggest value? (a) u (b) p (c) -1 (d) s c Let c = -8586 + 8574. Let h = -1.3 + 0.3. What is the fourth smallest value in -2/13, c, h, 3? 3 Let w = -912 + 597. Let h = 314.5 + w. Which is the third biggest value? (a) -5 (b) -10/9 (c) h a Let w be (392/398 - 1)*(-42)/63. Let r = w + -629/3184. What is the fourth smallest value in r, -3, 0.4, 0.3? 0.4 Let m = 1.3 - 1.5. Let s = -0.07 - 33.93. Let u = 34 + s. What is the second smallest value in m, u, -1? m Suppose 37*z = -42 - 32. Let r = 3 + -2. Let g be 6/(-9)*6/(-10). Which is the biggest value? (a) r (b) g (c) z a Let k = -553.633 - 1.367. Let i = k + 555.4. Which is the fourth smallest value? (a) -5 (b) 3/5 (c) 1/6 (d) i b Let h = 1.125 + -436.625. Let w = h + 435. Which is the third biggest value? (a) 1/5 (b) w (c) 19 b Let d be (-65)/(-20) + 1/8*-2. Let u = -0.64 - -0.24. What is the biggest value in -0.2, u, 1/4, d? d Let h = 5272/12285 - 1/1755. Which is the second smallest value? (a) -0.12 (b) -18 (c) h a Let p = -23326/5315 + -12/1063. What is the biggest value in p, 0, 1, -1? 1 Let u be 3 + (-113)/24 + 12/32. Let t be 304/22 - 6/(-33). Let s be 76/(-70) - (-4)/t. Which is the fourth smallest value? (a) -0.5 (b) u (c) s (d) 4/3 d Let f be (-177)/(-826)*(-8)/6. Let d = -0.1 - 26.9. Let r = d + 46. Which is the biggest value? (a) 1 (b) f (c) r c Let p = 14 + -12. Suppose 0 = -4*m - p*a + 16, -4*a = m - 0*m - 4. Let j be (m/(-3))/((-2)/24). What is the third smallest value in j, -0.1, -0.3? j Let i = 40404 + -443386/11. Let s = 96 - i. Which is the biggest value? (a) 3 (b) s (c) 17 c Let c = 22185 - 289371/13. What is the biggest value in 1/8, 1/3, c? 1/3 Let l = -1315/15917 + -12/1447. What is the second biggest value in 3, l, -71, -2? l Let f be (-121)/10 - 1/(-10). Let z be (2 - 30/12)*f. Which is the smallest value? (a) -4 (b) z (c) -5/4 (d) 5 a Let n = 59.33 + -54.8. Let a = 0.47 + n. Let h = 2.5 - 3. What is the second biggest value in a, -0.1, h? -0.1 Let k = -2396 - -2385. What is the smallest value in k, -3, 0.03? k Suppose -16*l - 135 = 11*l. Let g be 7 + 4 + -13 - l/1. Which is the second smallest value? (a) 4 (b) -0.4 (c) g (d) -17 b Let q = 0.0231 - 0.0619. Let p = 0.5388 + q. Which is the second biggest value? (a) -3 (b) p (c) 14 b Suppose o - 5*o - 20 = 0. Let g = 79.979 - 80. Let v = g + 0.321. Which is the fourth smallest value? (a) v (b) o (c) 2/5 (d) 3 d Suppose s = -3*s - 4*x - 24, 0 = 5*s + 3*x + 22. Let q be (-4)/((6/54)/(s/3)). Suppose -n - 34 = -q. What is the third smallest value in n, 0.1, 2/7, -0.1? 0.1 Let v = -11.136 + 11. Let r = v + 10.136. What is the biggest value in 6, r, 0.5, -5? r Let b = -3911/8 - -489. What is the biggest value in b, -1, -29, -3? b Let x = -6318/5 + 1264. What is the smallest value in 5, -345, -0.3, x? -345 Let q = 0.89 + -0.17. Let o = q + -25.72. Let x = o + 25.4. What is the fourth biggest value in x, 2, 3, -4? -4 Let t = -21002.7 + 21003. Let v = 1804/91 + -142/7. Which is the biggest value? (a) t (b) v (c) 0.1 a Let d be 3*1/(-1) + 24. Let i be d/12*2/7. Let j = -13/44 - -6/11. Which is the second smallest value? (a) j (b) i (c) 0.3 c Let c = -479.03 + -2.97. Let f = 475 + c. Let m = -1/12 + -1/4. What is the smallest value in m, 0.4, 1/8, f? f Let g = 201.68 + -171.5. Let x = g - 30.2. Which is the second smallest value? (a) 0.05 (b) 1/4 (c) x (d) 0.5 a Let g = 331 - 331.05. Which is the second biggest value? (a) g (b) 3 (c) -2/9 (d) -1 a Let j = -8 - -6.1. Let w = -41.1 + j. Let d = -39 - w. What is the biggest value in 1, -2/13, d? d Let u = -1542 - -1546. What is the smallest value in 2/3, 39, -5, u? -5 Let r = -8723 + 8723.3. Which is the third biggest value? (a) 0.4 (b) -1/4 (c) r (d) -2/11 (e) 19 c Let h = 137.315 - 138.315. Let x = -7 + -4. Which is the second biggest value? (a) x (b) h (c) 1/12 b Let o = -3656 - -3658. What is the third smallest value in o, -2/15, -1/2, 0.5? 0.5 Let y = -75.73 - 0.27. Let h = y - -76.3. Let l = 1.2 - 0.7. Which is the second biggest value? (a) -2 (b) h (c) l (d) 2 c Suppose -3*o - 14*o = 20*o. What is the second biggest value in -20, o, -0.5, -17? -0.5 Let d = -252 - -524. Let h = -274 + d. What is the second biggest value in 2/23, h, -3? h Let d = -3825/14 - -273. Let t = 1/126 - d. What is the second biggest value in 2, -4/3, t, -2/21? t Let n = 80 - 108. Let b = 31 + n. Let v = 0.088 + -0.388. What is the fourth biggest value in 0.4, v, b, -4? -4 Let k = 5169 - 5184. Which is the fourth smallest value? (a) 1/2 (b) k (c) -1/3 (d) -0.2 a Let x = 10758.1 + -10758. Which is the second smallest value? (a) 0 (b) x (c) -1/29 (d) 18 a Let v = -427/132 - -29/12. Let o = -37/99 - v. Let z be 1*(6 + -8 + (-45)/(-25)). Which is the smallest value? (a) o (b) 5 (c) z (d) 1 c Let u = 0.04 - -27.96. Which is the fourth smallest value? (a) u (b) 3 (c) -5/4 (d) 0.6 a Let j = 21331 + -21334. Which is the biggest value? (a) -0.2 (b) j (c) -2218 a Suppose 0 = -17*j - 13 + 13. Which is the biggest value? (a) -7/3 (b) j (c) 17 c Let u be -6 - 3/(24/(-608)). Let f be (2/(-20))/(9 + (-637)/u). Which is the second biggest value? (a) f (b) 0.004 (c) 0 b Suppose 31 - 65 = 23*w + 173. Which is the second biggest value? (a) -16 (b) 9/2 (c) 2/5 (d) w c Let g be ((-11)/(121/(-88)) - -35) + (-6 - 1). What is the fourth biggest value in -1/5, g, -1/15, -5? -5 Let q = -2 - -1.5. Let t = -13865 + 13865.9. What is the third smallest value in -1, t, q, -5? q Let q be (7/(-112)*4)/(-2 + 93/36). Let o = 2 + -1.3. What is the third smallest value in o, q, 0.2? o Let u = -70.9 + -356.1. Let p = u - -427.2. What is the fourth smallest value in -3, -38, p, 0? p Let z = -321.01 - -322. Let m = z - 0.9. What is the second biggest value in m, 4, -5? m Let z = -128 + 85. Let u = z + 3. Let a = 39.5 + u. What is the second smallest value in a, -1, -9? -1 Let f = -1.449 - -0.169. Let v = f + 0.78. Let u = 0.08 + -0.11. What is the second biggest value in v, u, 0.3? u Let r = 11.7 - -0.3. Let d = -332 - -355.7. Let g = d - 24.2. What is the third smallest value in g, -2, r? r Let b = 0.14 - 0.81. Let j = b + 92.67. Let v = j - 83. What is the smallest value in v, -3/5, -0.4, 2? -3/5 Let h = -1166/9 - -4399/45. What is the smallest value in 5, h, -0.1, 3/7? h Let f be (-48)/(-10) + (126/(-210))/(6/50). Let k = -3 + 5. Which is the second biggest value? (a) -12 (b) f (c) k b Suppose 12952 - 1688 = 20*u - 20456. Which is the second smallest value? (a) u (b) -0.1 (c) 0.2 c Let t = 0.07822 - 5.15822. Which is the second biggest value? (a) t (b) 1/3 (c) 5 b Let c = -5161 + 5165. What is the third biggest value in c, -2/13, -5, 2, 11? 2 Let i = -79.502 + 81.502. Let z = -21068 - -2001513/95. Let o = 3/19 - z. Which is the third biggest value? (a) o (b) i (c) 1/16 a Let i = -63.19 + 63.19. Which is the fifth biggest value? (a) 1 (b) 2/5 (c) 0.03 (d) i (e) -16 e Let s = -0.3 - -0.1. Let k(l) = 96*l**2 - 1055*l + 2. Let o be k(11). Let r = -2 - -2.4. Which is the third smallest value? (a) s (b) o (c) r b Let y be -3 - ((-2)/(-12) - (-55)/(-15)). Which is the third smallest value? (a) -1 (b) y (c) 0 (d) 0.9 b Let l = -2470 - -2467. Which is the third biggest value? (a) l (b) 17/2 (c) 2 (d) 18 c Let n = 6.65 - -0.35. Let h = 2/199 - -1783/796. Let w = -31/12 + h. What is the third biggest value in 4, n, w, -1/8? -1/8 Let y = 0.8995 + -2.8995. Which is the smallest value? (a) 494 (b) y (c) -4 c Let h be (-118)/244 - (-3)/6. Let o = -4821 + 14461/3. Which is the fourth biggest value? (a) o (b) -2 (c) h (d) 0.1 b Let v = -1.009 + 0.109. Suppose -k - 3*d = -1 - 22, 57 = 4*k + 5*d. Which is the third biggest value? (a) k (b) v (c) -4 c Let n = -1781 - -1781.1. Which is the second biggest value? (a) -4/5 (b) 2/15 (c) n (d) 4 (e) -0.05 b Let b be ((-56)/(-16))/7*(-4)/(-6)*3. What is the fourth smallest value in 1/4, b, -0.02, 0, -3? 1/4 Let b = -104 - -54. Let o = -49.5 - b. What is the second smallest value in o,
{ "pile_set_name": "DM Mathematics" }
= -m. Let a(z) = -2*z - 2. Let w(i) = i**2 - 4*i - 9. Suppose 6*b - 5*b = 5. Let f be w(b). Determine f*h(q) + a(q). 2*q - 2 Let q(u) = -66*u**3 + 21*u. Let b(z) = 13*z**3 - 4*z. What is -21*b(j) - 4*q(j)? -9*j**3 Let q(r) = r + 1. Let t be q(-5). Let k(w) = 4*w + 3. Let u(y) = 13*y + 10. Let d(p) = -7*k(p) + 2*u(p). Let j(a) = a. Calculate t*j(z) - d(z). -2*z + 1 Let o(s) be the first derivative of -7/2*s**2 - 1/2*s**4 + 2*s**3 + 0*s + 2. Let y(v) = -v**2 + v. Determine -o(a) - 6*y(a). 2*a**3 + a Let h(j) = -10*j**2 - j - 5. Let l(o) = o**2 + 1. Determine -h(f) - 5*l(f). 5*f**2 + f Let k(u) = 7*u - 4. Let m(v) = -4*v + 5 + 0*v - 4*v + 0*v. Give -6*k(c) - 5*m(c). -2*c - 1 Let c(l) = -1185*l + 75. Let u(x) = 32*x - 2. Determine -2*c(o) - 75*u(o). -30*o Let j(c) = 5*c - 6. Let u(l) = 4*l - 7. Give 7*j(m) - 6*u(m). 11*m Let w(j) = -j**3 - j. Let f(l) be the third derivative of l**6/20 + l**4/8 - 21*l**2. Give -f(b) - 3*w(b). -3*b**3 Let n(k) = k + 2. Let l(m) = -6*m - 13. Let d(u) = 12*u + 27. Let y(a) = 2*d(a) + 5*l(a). Give 11*n(z) + 2*y(z). -z Let c(f) = -19*f - 1. Let q(u) = -18*u - 2. Give 4*c(l) - 3*q(l). -22*l + 2 Let a(u) = 8*u**2 + 4*u. Let s(i) = -i**2 - i. Let p be 0 + 6/(-1 + -2) + 3. What is p*a(z) + 4*s(z)? 4*z**2 Let q(k) = 1. Suppose -2*o + o = -4*d + 3, 0 = o - d. Suppose 3*b + v - 5 = 2*b, -v = -2. Let u(t) = 2*t**3 - t**2 - 2*t - 3. What is b*q(f) + o*u(f)? 2*f**3 - f**2 - 2*f Let x(z) = -z - 1. Let a = -16 + 17. Let o(v) = 2*v**2 + 2*v + 3. Calculate a*x(g) + o(g). 2*g**2 + g + 2 Let k(a) = -a + 1. Suppose -2*p - 9*p - 44 = 0. Let g(l) = 3*l - 5. Calculate p*k(d) - g(d). d + 1 Let n(t) = -22*t - 1. Let p(s) = 11*s + 1. What is -3*n(o) - 5*p(o)? 11*o - 2 Let h(a) = -15*a - 7. Let l(p) = 4*p + 24. Let f(m) = 2. Let q(v) = -22*f(v) + 2*l(v). What is 6*h(c) + 11*q(c)? -2*c + 2 Let z(q) = -64 + 125 + 9*q - 68. Let h(s) = 5*s - 4. Give -5*h(n) + 3*z(n). 2*n - 1 Let w(f) = -19*f**3 + 15*f**2 + 9*f + 9. Let a(x) = -5*x**3 + 4*x**2 + 2*x + 2. What is -9*a(v) + 2*w(v)? 7*v**3 - 6*v**2 Let x(y) = 2*y**2 - y. Let a = -5 - -7. Let i be (3/a)/((-2)/4). Let v be 2 - i*24/(-9). Let b(p) = 2*p**2 - p. Determine v*b(c) + 5*x(c). -2*c**2 + c Let o be 2 - (-5)/(25/30). Let x(n) = 9*n**2 - 5*n + 7. Let h(f) = -14*f**2 + 8*f - 11. Give o*x(z) + 5*h(z). 2*z**2 + 1 Let n(l) = l**2 - l - 1. Let z(o) = 10*o + 3. Let y(q) = -q**2 - 12*q - 3. Let i(t) = -4*y(t) - 5*z(t). What is i(d) - 2*n(d)? 2*d**2 - 1 Let u(z) = 13*z**3 - 5*z**2 - 5. Let l(t) = 8*t**2 - t**2 + 5*t**2 - 3 + 15 - 32*t**3. Determine 5*l(v) + 12*u(v). -4*v**3 Let c(t) = t + 7. Let f(w) = -1. Let n(m) be the third derivative of -m**5/20 - 5*m**4/24 - m**3/3 - 3*m**2. Let z be n(-3). Give z*f(j) - 2*c(j). -2*j Let r(g) = g**2 - 6*g - 7. Let y(u) = -u**2 + 5*u + 6. Let w = 6 - 1. What is w*y(f) + 4*r(f)? -f**2 + f + 2 Let u(f) = 5*f**2 - 2. Suppose -4*n + 2*p = 18, -5*p + 8 = -2*n - 13. Let o(c) = -1 - c**2 - 1 + 7*c**2. Let i be 14/(-3)*(-6)/7. Determine i*u(x) + n*o(x). 2*x**2 - 2 Let l(c) = -3*c**3 - 6*c**2 - 6*c. Let z(d) = 8*d**3 + 17*d**2 + 17*d. What is -17*l(u) - 6*z(u)? 3*u**3 Let p(i) = -12*i - 60. Let b(n) = 1. Calculate -120*b(y) - 2*p(y). 24*y Let t(n) = 6 + n + 0*n + 2*n - 7. Let y(l) = -2*l + 1. Suppose -4*m = -3*q - 0 - 8, 5*m - 41 = -4*q. What is m*y(r) + 4*t(r)? 2*r + 1 Let y(r) be the first derivative of -3*r**2 - 2*r + 1. Let j(g) = -g - 1. What is 2*j(o) - y(o)? 4*o Let n(o) = -17*o**2 + 3*o + 3. Let u(r) = 152*r**2 - 28*r - 28. What is 28*n(s) + 3*u(s)? -20*s**2 Suppose -3*y - y + 12 = 0. Let m(d) = -9*d + 3*d + y - 7. Let s(a) = 2*a + 0 - 3*a - 1. Give 2*m(g) - 10*s(g). -2*g + 2 Let u(p) = -6*p - 11. Let f(c) = 15*c + 27. What is 5*f(k) + 12*u(k)? 3*k + 3 Let k(w) = 4*w**3 + 3*w**2 + w. Let n = -9 + 12. Let c(u) = 2*u**2 - 3*u**2 - 4*u**3 + u**3 + 2*u**n - u. Calculate 3*c(z) + k(z). z**3 - 2*z Let j(i) = 8*i**3 + 4*i**2 + 4. Let h(k) be the second derivative of -k**5/20 - k**4/12 - k**2/2 - 5*k. Give 4*h(t) + j(t). 4*t**3 Let f = -52 + 57. Let d(a) = a + 6. Let v be d(-5). Let k(w) be the second derivative of -w**3/6 - w**2/2 - w. Let g(n) = 7*n + 6. Determine f*k(o) + v*g(o). 2*o + 1 Let a(k) be the third derivative of k**5/12 - 4*k**2. Let n(d) = d**2. Determine 4*a(p) - 22*n(p). -2*p**2 Let o(u) = -6*u**3 + 2. Let h(t) be the third derivative of t**6/24 - t**3/3 + 17*t**2. Calculate 7*h(p) + 6*o(p). -p**3 - 2 Let s(q) = -5*q - 4. Let k(x) = 6*x + 4. Suppose -25 = 5*r + 2*u, -4*u + 7*u = -r - 5. Give r*s(p) - 4*k(p). p + 4 Let y(n) = 114*n**2 - 11*n - 1. Let d(a) = 23*a**2 - 2*a. Give 11*d(j) - 2*y(j). 25*j**2 + 2 Let c(a) = 8*a - 1. Let t(n) = -n + 1. Let m(b) = -c(b) - 5*t(b). Let d(p) = 4*p + 5. Suppose -14 - 1 = 5*s. Determine s*m(q) - 2*d(q). q + 2 Let b(g) = 7*g - 9. Let j be 16/40 + (-38)/(-5). Let l(v) = 7*v - 10. Let i(k) = -13*k + 19. Let f(m) = 4*i(m) + 9*l(m). Calculate j*b(n) - 5*f(n). n - 2 Let h(b) = 3*b - 8. Let v(q) = 9 - 13*q + 20*q - 11*q. Determine -7*h(o) - 6*v(o). 3*o + 2 Let j(u) = -u**2 + u + 1. Let p(l) = 7*l**2 - 7*l - 7. Suppose 2*f + 2*i = -3*f + 10, -3*f + 17 = -i. Suppose f*g + 4 = -0*g. What is g*p(z) - 6*j(z)? -z**2 + z + 1 Let d(x) = -2*x + 5. Let p(v) = 2*v - 4. Calculate -5*d(c) - 6*p(c). -2*c - 1 Let z(j) = -2*j**3 + 2*j - 7. Let v(k) = 1. Let u(m) = m**3 + 3*m**2 - 2*m. Let o be u(-3). What is o*v(f) + z(f)? -2*f**3 + 2*f - 1 Let l(r) = -3*r**3 + r**2 + 2. Let j(d) = 4*d**3 - 2*d**2 - d - 3. Let o(k) = -k**3 - 13*k**2 + 15*k + 11. Let t be o(-14). What is t*l(u) - 2*j(u)? u**3 + u**2 + 2*u Let p = 14 - 9. Let u(c) = -c + 0*c + 7 - 2*c - p*c - 4*c**2. Let w(g) = 12*g - g + 11*g**2 - 20 + 12*g. Calculate 17*u(l) + 6*w(l). -2*l**2 + 2*l - 1 Let n(l) = 14*l**3 - 7*l + 2. Let h(f) = -7*f**3 + 4*f - 1. What is -7*h(w) - 4*n(w)? -7*w**3 - 1 Let w(n) = 3*n**2 - 5*n - 5. Let a(r) = -r**2 + 13*r. Let h be a(13). Let t(c) = 3*c + 4 - 5*c**2 + h*c**2 + 3*c**2 - 1. What is -5*t(b) - 3*w(b)? b**2 Let h(f) = f. Let z(d) = -1. Determine -3*h(v) + 3*z(v). -3*v - 3 Let x(t) = 6*t**2 + 7*t + 6. Let r(c) = -5*c**2 - 6*c - 5. Let y(k) = 7*r(k) + 6*x(k). Let i(n) = n**3 + 3*n**2 + n + 3. What is i(g) - 3*y(g)? g**3 + g Let o(h) = -8*h**3 + 20*h**2. Let y(j) = j**3. What is o(r) + 6*y(r)? -2*r**3 + 20*r**2 Let s(y) = y**2 - 2*y - 4. Let d be s(3). Let m(n) = -3*n + 6. Let o(f) = f - 1. Determine d*m(p) - 4*o(p). -p - 2 Suppose g + 0*g = 7. Let t be ((-4)/(-6))/((-16)/(-72)). Let y(k) = -4*k - t*k**3 - 2 + 4*k - 6*k. Let h(n) = 5*n**3 + 11*n + 3. Determine g*y(p) + 4*h(p). -p**3 + 2*p - 2 Let o(d) = -1 + 0 - 19*d + 37*d - 17*d. Let y be ((-8)/10)/(10/(-25)). Let a(i) = -3*i + 2. What is y*a(n) + 5*o(n)? -n - 1 Let l(r) = -r + 21. Let o(m) = 3*m - 62. Determine -17*l(g) - 6*o(g). -g + 15 Let v be 40/22 + 10/55. Let b(w) = 0*w - 7 - v*w + 5. Let x(g) = 6*g + 5. Determine 8*b(p) + 3*x(p). 2*p - 1 Suppose -6 = -q - q. Let j(l) = 2*l + 2. Let x(n) = 2*n + 2. Let d = -22 - -20. What is d*x(g) + q*j(g)? 2*g + 2 Let h(q) = -174*q + 27. Let r(a) = 25*a - 4. Give 4*h(n) + 27*r(n). -21*n Let f(o) = -4. Suppose 7*a = 23*a - 64. Let d(j) = j - 1. Give a*d(s) - f(s). 4*s Let u(x) = 4*x - 3*x - 3*x - 1 + x**2. Let h(a) = a**2 - 9*a - 13. Let t be h(10). Let z(j) = 2*j**2 - 5*j - 2. Determine t*z(v) + 8*u(v). 2*v**2 - v - 2 Let b(m) = -m**2 - 3. Suppose -a + 2*a - 5*y = 4, -4*a = -5*y - 16. Suppose 3*d = d + a. Let t(i) = -4*i**d - 2*i + 2*i - 11. Give 22*b(c) - 6*t(c). 2*c**2 Let z(u) = -u. Let f(b) = -4*b + 1. Let d be (12/(-24))/((-3)/6). Determine d*f(n) - 6*z(n). 2*n + 1 Let n(f) = f - 4. Suppose -y = 3*y + 28. Let m = -1 - y. Let p(s) = -1 - m + 3 + 3. Give -2*n(w) + 9*p(w). -2*w - 1 Let s be (0 - 1) + (-3)/(-1). Let q(p) = -p**2 + p + 2. Let c(x) = x**2 - 1. Suppose -5*a + j - 4 = -13, -11 = a + 3*j. Give a*q(n) + s*c(n). n**2 + n Let b(c) = -2*c**2 + 3*c + 5. Let f(o) = -3*o - 7. Let h(p) = p**2 - p - 1. Let a(r) = -f(r) - 4*h(r). Give 3*a(g) - 7*b(g). 2*g**2 - 2 Let n(g) = 19*g. Let f(c) = -10*c. Suppose -4*b - 5*u = -4, -2*u = -b + 4*b - 10. Determine b*n(x) + 11*f(x). 4*x Let d(h) = -h**2. Let i(n) = 6*n**2 - n. Let c = -116 + 118. Give c*i(f) + 14*d(f). -2*f**2 - 2*f Let u(m) = -6*m + 2. Let x(p) = 11*p - 3. Give 5*u(n) + 3*x(n). 3*n + 1 Let q(d) = d +
{ "pile_set_name": "DM Mathematics" }
et r = t + -1. Is 23 a factor of (-1)/r + (-154)/(-4)? False Suppose n - 6*n = -3*j - 20, 4*n + j + 1 = 0. Let d(o) = 18*o**3. Let m be d(n). Suppose 0 = -0*z + 2*z - m. Is z a multiple of 9? True Let y = 106 - 56. Is 25 a factor of y? True Suppose 3 = 3*m, -26 = -5*p + m - 2*m. Is p a multiple of 5? True Suppose c + 13 = w - 3*c, -4*w + 4*c + 100 = 0. Is 19 a factor of w? False Let h = 80 - 141. Let y = -43 - h. Is 9 a factor of y? True Suppose -64*d + 61*d + 357 = 0. Is d a multiple of 17? True Let a = -1 - -1. Suppose 3*p - 5*u + 179 = a, 7 - 125 = 2*p - 3*u. Does 13 divide (-2)/4 - p/2? True Let u(s) be the first derivative of -s**6/120 + s**5/12 + s**4/8 - 5*s**3/6 - s**2 - 1. Let k(h) be the second derivative of u(h). Does 5 divide k(5)? True Suppose 12 = 3*o, 3*g - 15*o + 17*o = 1025. Is 51 a factor of g? False Suppose -2*q = 3*r - r - 298, 566 = 4*q - 2*r. Does 24 divide q? True Let d(r) = r + 9. Let y be d(-10). Let x = -1 - y. Suppose s - 1 = x, 3*z - z - 4*s - 24 = 0. Is 4 a factor of z? False Suppose -5*x + 14 = -6. Suppose 0*z + s - 14 = -5*z, -4*z + s = -x. Suppose z*g + 140 = 3*f + 40, f - 24 = 3*g. Is f a multiple of 18? True Let p(a) = -a + 36. Let r be p(0). Suppose -43 - r = -w - 5*y, 4*y = -w + 75. Is w a multiple of 24? False Let r(s) = 2*s**2 - s + 1. Let z be r(-7). Let u = 161 - z. Does 15 divide u? False Let r be 1 + -1 + 7 + 13. Is 16/(-3)*(-165)/r a multiple of 22? True Suppose -4 - 6 = -2*s. Suppose -4*p = s*n - 21, 3*n - 17 = -3*p - 2*n. Is 4 a factor of p? True Let h = -76 + 131. Is h even? False Suppose 8*b - 1425 = 3*b. Is 6 a factor of b/24 - (-2)/16? True Let b be 1 - (2*-1 - 8). Suppose -15 = -0*i - 5*i. Suppose 2 = -i*t + b. Does 3 divide t? True Suppose -3*o + 2*i + 1 = 0, 2*o + 2*i + i = -21. Is 21 a factor of (o/1)/(2/(-14))? True Let v = 28 + -25. Let r(f) = 5*f**2 + 3*f - 2. Does 13 divide r(v)? True Let c be (-2)/2*(-90)/3. Suppose 2*s + c = 7*s. Is s a multiple of 4? False Suppose 5*s - 5*y - 204 = 141, -4*s - 4*y + 244 = 0. Is 5 a factor of s? True Let d = -27 + 8. Let u = d + 37. Is u a multiple of 18? True Let n = 9 - 0. Suppose -4*b + n*b = 90. Is b a multiple of 6? True Let z be (-1*4)/(3/6). Let f = 11 + z. Let s(d) = 2*d**2 - 3*d. Is 4 a factor of s(f)? False Let t be (-6 - -10) + -2*2. Let g be (-1)/1 - 1*-1. Suppose 2*a - 14 + t = g. Is a a multiple of 7? True Does 8 divide ((-10)/(-6))/(6/162)? False Does 18 divide (-1 + 31)*(-60)/(-18)? False Let z = 101 - 55. Is 8 a factor of z? False Let j be (-1)/4 + (-54)/(-24). Suppose 94 = -j*t - 18. Does 14 divide ((-2)/4)/(1/t)? True Suppose -z = -3*r - 340, 5*z - 15*r - 1744 = -11*r. Is 22 a factor of z? True Let o be (-477)/12 - (-3)/(-12). Let p = -17 - o. Is 8 a factor of p? False Let z(j) = -3*j**3 - 3*j**2 - 3*j - 2. Is z(-4) a multiple of 14? True Let a(c) be the first derivative of 7*c - 4 - 1/4*c**4 + 0*c**2 + 5/3*c**3. Is 7 a factor of a(5)? True Let v = -11 + 16. Suppose -3*q - 34 = -v*q. Does 17 divide q? True Suppose 12*b - 4060 = -2*b. Is b a multiple of 58? True Let d(b) = -b**3 + 9*b**2 + 10*b - 3. Let z be d(10). Is z/(-3)*-2 - -18 a multiple of 8? True Let b(z) = 2*z**3 - 2*z**2 - 5*z + 3. Let g(y) = y**3 - y + 1. Let d(x) = b(x) - 4*g(x). Does 9 divide d(-2)? True Let l(h) = -h. Let v be l(5). Is 17 a factor of (v/(-10))/(1/90)? False Let a = 1 - -66. Let o = a + -31. Is o a multiple of 18? True Let b = -4 - -9. Suppose -b*o + 354 = 54. Does 11 divide o? False Suppose -2*b + 9 = 1. Is 3 a factor of b? False Suppose -320 = 3*i - 7*i. Does 10 divide i? True Let t be (-16 - (2 - 1)) + 1. Is 2 a factor of t/12*3/(-2)? True Suppose 0 = 2*v - 166 - 26. Is v a multiple of 24? True Let z be (15/(-10))/((-2)/4). Suppose -2*q = -z*l + 3 - 19, 4*l - 32 = -4*q. Let i(a) = 2*a. Is i(q) a multiple of 6? False Suppose 3*l - 4*o = 52, 5*o - 39 = -5*l + 36. Is 16 a factor of (l/12)/((-2)/(-24))? True Suppose -b = -2*b - 6. Let j be 117*-3*2/b. Suppose -5*t + j - 37 = 5*m, m = 5*t + 28. Is m a multiple of 10? False Suppose 3*o = -2*i + 15, -4*o + 20 = 2*i + i. Suppose -g + 10 = -i*g. Does 10 divide g? True Let l = -13 + 28. Suppose c - 4*c = -l. Suppose 2*v - 2 = -3*g - 0*v, -2*v - 14 = -c*g. Is 2 a factor of g? True Let c = -17 - 121. Let t = -91 - c. Suppose -3*r = -t + 11. Is r a multiple of 6? True Let b(r) = -20*r - 18. Does 17 divide b(-6)? True Let u be 3/2 - (-14)/4. Let d be ((-6)/(-5))/((-1)/u). Is d/(-33) - 524/(-22) a multiple of 12? True Let b = 1 - 0. Is b/3*1*141 a multiple of 23? False Suppose -2*o - o + 3*t + 108 = 0, 5*o + 4*t - 162 = 0. Suppose 0 = -5*p - o - 36. Let c = -6 - p. Is c a multiple of 8? True Let a(s) = s + 8. Let p(k) = -k**2 + 8*k + 3. Let z be 2/1 + (-7)/(-1). Let b be p(z). Is a(b) even? True Let f be (-6)/3 - (-8)/2. Suppose 5*n = f*n + 45. Does 4 divide n? False Let h be -5 - -2*(3 + -2). Is 6 a factor of (-24)/h*6/4? True Let l(u) = 6*u - 6. Is l(11) a multiple of 11? False Let g be (-4)/(-4)*1*-43. Let s = -14 - g. Does 17 divide s? False Let k(r) be the third derivative of -r**4/6 - r**2. Suppose 15 + 11 = -4*q - 3*a, a + 2 = 0. Does 7 divide k(q)? False Let z = 57 + -3. Suppose -3*o + 5*o = z. Does 19 divide o? False Let n(m) = -m**3 + 9*m**2 - 8*m - 3. Let y be n(8). Let b = y + 6. Suppose 5*g + 68 = b*a, 3*g = -2*a + a + 18. Does 7 divide a? True Suppose 7*v + 56 = 11*v. Is v a multiple of 7? True Let p(c) = c**2 - 6*c + 7. Let j be p(5). Let u(i) = i + 0*i - j*i + 12. Is u(6) a multiple of 3? True Suppose -14 = 2*u - 62. Does 6 divide u? True Suppose 0 = 2*p - 4 - 4. Suppose 4 = -0*x + x + 2*g, 0 = p*x - 4*g - 4. Is -8*((-4)/x)/2 a multiple of 8? True Let i = 39 - 22. Let o = i + -4. Is 10 a factor of o? False Let a = 11 + -8. Suppose -a*r + 2*r = 0. Suppose -5*s + 5 = r, 3*i - 3*s = 10 + 38. Is i a multiple of 7? False Let m(h) = h**3 - 5*h**2 - 7*h + 6. Let b be m(6). Suppose 4*d = -b*d. Suppose d = -5*y + 34 + 21. Does 7 divide y? False Let h(i) = i**2 - 5*i + 6. Let d be h(4). Let q(z) = -5 - 1 + 1 - 8*z - z**d. Is 4 a factor of q(-5)? False Let h(y) = -y + 57. Let t(b) = b - 57. Let n(r) = 6*h(r) + 5*t(r). Does 19 divide n(0)? True Let k = 137 - 28. Does 33 divide k? False Let m(f) be the second derivative of -f**5/20 + f**4/2 + 5*f**3/3 - 5*f**2 - 3*f. Does 25 divide m(6)? True Suppose 2*y + 11 = -5*s - y, -5*s + y - 3 = 0. Let h = s - 0. Is ((-3)/5)/(h/5) a multiple of 3? True Suppose -6*o = -2*o + 4. Let x be ((o - -3) + -3)/(-1). Is 17 a factor of x*(2 + 26 + 1)? False Suppose -5*p = 22 + 78. Suppose 0 = -2*k - k - 93. Let x = p - k. Is x a multiple of 11? True Let c be 6/4*10/3. Suppose 2*x + 217 = c*u, -4*u + 44 = -3*u - x. Is u a multiple of 12? False Let l be -1 + (0 - -3 - 1). Let t(n) be the second derivative of 16*n**3/3 - 3*n. Is 16 a factor of t(l)? True Let h(u) = -u**3 + u - 3. Let a be h(0). Is 10 a factor of (-26)/(-1 - 1) + a? True Let b(l) = l**3 - 3*l**2 + 2*l - 2. Suppose 2*q - 3*q + 3 = 0. Let d be b(q). Suppose 3*p + w - 2*w = 6, -9 = p - d*w. Is p a multiple of 2? False Suppose -w = 4*u - 30, -w - 4*u = w - 48. Is 8 a factor of w? False Let w(x) = 5*x. Suppose -5*k + f - 16 = 32, -3*f = 2*k + 9. Let l(s) = -s**3 - 9*s**2 - 2*s - 12. Let y be l(k). Is w(y) a multiple of 17? False Suppose 0*l - 20 = 4*l, 5*l + 41 = 4*h. Let b(z) be the third derivative of z**5/15 - z**4/6 + 2*z**3/3 - 5*z**2. Does 18 divide b(h)? False Let t(w) = w**2 - 11*w + 22. Is t(13) a multiple of 48? True Let d(j) = 2*j**2 + 10*j + 12. Does 26 divide d(-8)? False Is 20 a factor of (-4)/(80/(-25))*124? False Suppose -2*p = 5*j - 18, 19 = 2*p - p + 5*j. Let b(o) be the third derivative of 17*o**5/60 + o**4/24 - 4*o**2. Does 8 divide b(p)? True Let s(b) = b**2 + 4. Let a be s(0). Suppose -2*z = -a*i + 2*z + 28, -2*i + 32 = 4*z. Does 3 divide i? False Let r(m) = -10*m**3 - m**2. Let g be r(-1). Let s = 20 - g. Suppose 4*x + 12 = 0, -5*x - 96 + s = -5*i. Does 7 divide i? True Suppose 0 = 4*w - 13 - 3. Suppose -4*n + 320 = -4*i, -2*i - 4 = -w*i. Is n a multiple of 15? False Let p = -93 + 142. Suppose w + 0 = -2. Does 5 divide ((-70)/p)/(w/14)? True Let m = 57 + -21. Does 18 divide m? True Suppose 5*y + 24 = c, 2*y = -3*y + 5. Does 18 divide -2 - c/2*-2? False Let r(q) = -4*q - 5. Let d be r(-5). Let u be
{ "pile_set_name": "DM Mathematics" }