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uppose 5*w = 3*m + 38, -w - 3*m = w - 32. Suppose -108 = -w*n + 8*n. Let d = -26 + n. Calculate the greatest common divisor of d and 4. 4 Let q = 36 - 57. Let o = 54 + q. What is the greatest common factor of 11 and o? 11 Let a(d) = -99*d - 664. Let c be a(-7). Calculate the highest common divisor of c and 377. 29 Suppose -3*t - 1 - 29 = -3*w, w + 4*t = 0. Let d = 52 + -20. What is the highest common divisor of w and d? 8 Suppose 5*i - 3*g = 7*i - 249, 5*i = -3*g + 645. What is the greatest common divisor of i and 594? 66 Let c be (-2)/5 + 4589/(-65). Let p = c + 79. What is the highest common divisor of p and 4? 4 Let x = -2226 - -2304. Calculate the greatest common divisor of 624 and x. 78 Let o(z) = 14*z - 132. Let u be o(12). Calculate the greatest common factor of u and 144. 36 Suppose 3*z + 2*l - 167 = -2*z, 0 = -3*z + l + 109. Let p = -49 + z. Let u be (21/p)/(6/(-4)). What is the greatest common factor of u and 4? 1 Let a = 3607 - 3507. Suppose 50 = b + 4*b. Calculate the greatest common factor of a and b. 10 Let l = -1 + 8. Suppose 9*g = l*g + 110. Suppose -5*r + g = -0*r. What is the highest common divisor of 66 and r? 11 Let i(h) = -8 - h + 4 - 6*h**2 + 27*h**2 + 10. Let f be i(2). Calculate the greatest common divisor of 22 and f. 22 Let c be (2 - (-52)/(-6))/((-10)/135). Let q = c - 47. Calculate the greatest common divisor of q and 344. 43 Let j(g) = -6*g**2 - 59*g + 42. Let s be j(-8). What is the highest common factor of 150 and s? 10 Let b(h) = h + 16. Let d be b(-9). Let t = 282 - d. Calculate the greatest common factor of 25 and t. 25 Let i(l) = -l + 15. Let j be i(9). Suppose 2*c - j*h = -2*h - 8, -3*h + 15 = 0. Suppose 144 = 5*a - 2*a. What is the highest common divisor of c and a? 6 Suppose 0 = -4*z - 0*z - 4. Let t be ((-3)/(-6))/(z/(-22)). Let m(g) = g**2 + 13*g - 3. Let b be m(-14). What is the highest common divisor of t and b? 11 Let b be (-1 - -4) + (-3 - -2). Suppose k + b*k - 54 = 0. Calculate the greatest common divisor of 162 and k. 18 Let x(i) = 2*i - 28. Let g be x(5). Let f(y) = y**3 + 17*y**2 - 17*y + 21. Let d be f(g). Calculate the highest common divisor of d and 12. 3 Let g = 342 - 340. Calculate the highest common factor of g and 47. 1 Suppose 7 + 5 = 4*f. Let d(c) = -c**3 + 6*c**2 + 4*c - 15. Let s be d(4). Calculate the highest common divisor of f and s. 3 Suppose 0 = -n + 23 + 6. Calculate the highest common factor of 580 and n. 29 Let z = 625 - 216. Suppose -617 - z = -9*j. Let s = 139 - 63. What is the highest common factor of j and s? 38 Suppose -558 = -64*t + 2*t. Calculate the greatest common factor of t and 225. 9 Let n = -82 - -136. Let d be (4/3)/(12/n). Suppose 28 = d*p - 2*p. What is the greatest common divisor of p and 28? 7 Suppose -4*q - 2*h = 2, -8*h = -3*q - 4*h + 26. Suppose -11 = 3*j - 4*k, 2*j + 5*k - 2 = 6. Let w be 4/(-2)*9/j. What is the highest common divisor of w and q? 2 Let m be (11 + -10 + 3)*(-17)/(-2). What is the greatest common divisor of m and 17? 17 Let r = -20 - -8. Let s be (51/9)/((-4)/r). What is the highest common divisor of s and 119? 17 Let z(g) = -159*g - 61. Let f be z(-6). What is the greatest common factor of f and 19? 19 Suppose 4*q + 8 = j, 2*q - 40 = 4*j - 114. Suppose 0 = -4*v + 2*m + 166, 3*v + 3*m - 100 = j. What is the greatest common factor of v and 328? 41 Let f be (-147)/((-35)/(-5))*-4 + 2. Calculate the highest common divisor of f and 4. 2 Let l be (-16)/3*(-3 - 0). Let r(w) be the third derivative of -w**4/12 + 2*w**3 - 8*w**2. Let a be r(-6). What is the greatest common divisor of l and a? 8 Let l be (-2)/((-2)/3) - 63. Let m = l - -96. Suppose -20 = -4*x + m. Calculate the highest common divisor of x and 154. 14 Suppose -3*i - 14 = 4*j - 51, 4*i - j = 24. Let x(z) = -14*z + 133. Let r be x(9). What is the greatest common divisor of r and i? 7 Suppose -3*y - 8*r = -3*r - 49, y = r + 19. What is the highest common factor of y and 90? 18 Let o = 26 + -26. Suppose 3 = a - 2*b - 0*b, o = -4*b. Calculate the greatest common factor of a and 24. 3 Let j = -230 + 244. Suppose 5*s + 0*l = 5*l + 205, -5*l + 131 = 3*s. Calculate the greatest common divisor of s and j. 14 Suppose -l + 4*l = 9. Suppose -l*i = 3*n + 15, 3*n + 5*i + 5 = -8. Let j be 5/((-10)/n) - -1. What is the greatest common factor of j and 4? 4 Let y be (-2)/(-6) - 204/(-36). Let o(u) = u**3 - 4*u**2 - 6*u + 2. Let w be o(y). What is the greatest common divisor of w and 57? 19 Let a(t) = -t**2 - 3*t + 4. Let h be a(-3). Let d be h/(-2) - -1*46. Calculate the greatest common divisor of d and 4. 4 Let r be 30*(0 - 5)/(-30). Let a = 1 + 2. Suppose -5*w + r*x + 320 = 0, 0 = -0*w - 5*w - a*x + 312. Calculate the greatest common divisor of w and 7. 7 Let i = -1139 + 1918. What is the highest common factor of i and 38? 19 Let c(l) = -2*l**2 - 2*l + 60. Let b be c(0). Let m be 78/8 + 1/4. Calculate the greatest common factor of m and b. 10 Let j be (-10 + -47)/((-10)/4 - -1). Calculate the highest common factor of 6 and j. 2 Let i be (297/(-18))/(1/(-6)). Let u = i - 47. What is the greatest common factor of 26 and u? 26 Suppose -8 + 6 = -2*y, 0 = 4*k + 3*y - 83. Let c(n) = 38*n**2 - 2*n. Let v be c(3). Suppose -3*q + v = -144. Calculate the highest common factor of q and k. 20 Let n = 99 - 93. Suppose -4*w - 4*v = -n*v - 634, -3*w + 3*v = -468. Calculate the highest common factor of w and 23. 23 Let s be (3*(-215)/(-30))/((-3)/(-6)). Let t = 61 - s. What is the greatest common factor of 9 and t? 9 Let s = 119 - 83. Suppose s = 16*o - 13*o. What is the highest common factor of o and 9? 3 Let t = -26 + 330. Calculate the greatest common divisor of t and 38. 38 Let w(a) = -8*a + 2. Let b be w(-9). Let y(n) = -8*n - 3. Let h be y(-3). Let s = h + b. Calculate the greatest common divisor of 19 and s. 19 Let j be 1359/(-39) + 30/(-195). Let i be 1 - 0/1 - -1. Let d be (j/(-14))/(i/36). What is the highest common factor of 18 and d? 9 Let m be 1 + 1 + 9 - -2. Suppose 10*z = 4*z + 30. Suppose -m = -q - z. Calculate the greatest common divisor of q and 16. 8 Let v = -18 + 21. Suppose g + 18 = -4*h, 5*g = h - v - 3. Let o(d) = -5*d. Let k be o(g). Calculate the highest common divisor of k and 20. 10 Let s(d) = -2*d**2 - 58*d + 38. Let m be s(-29). Calculate the greatest common divisor of m and 456. 38 Suppose -l - 20 = -6*l. Suppose 0 = -l*b + 428 - 168. Suppose -4*d = 3*i - 95, -i + 61 = 2*d - 4*i. What is the highest common factor of b and d? 13 Let v = 242 + -125. Suppose y = -5*s + 68, -2*y - 17 = -2*s + 3. Calculate the greatest common factor of v and s. 13 Suppose 0 = -6*i + 28 + 212. What is the greatest common divisor of 520 and i? 40 Suppose 5*u - 3*u + 5*n = 1534, -1534 = -2*u + 4*n. What is the highest common factor of 177 and u? 59 Let q(t) = -t**3 + 52. Suppose 3*o = -o - 7*o. Let w be q(o). What is the greatest common factor of 130 and w? 26 Suppose 2*d = 4*r - 94, 3*d = -4*r + 55 + 54. What is the greatest common divisor of 1 and r? 1 Suppose 4*y - 35 = 3*h, 0*y + 30 = 3*y - 3*h. Let w be 10/(-25) - (-192)/y. Calculate the highest common divisor of 95 and w. 19 Let l(j) = 16*j + 40. Let w(a) = -4*a - 10. Let b(o) = 6*l(o) + 26*w(o). Let g be b(-6). Calculate the greatest common factor of 112 and g. 28 Let c be (-18)/((-1)/((-20)/(-15))). Let y be 540/c*24/10. Calculate the greatest common factor of 9 and y. 9 Let g = 135 + -148. Let f be g/(3 - 5/(100/64)). Calculate the highest common factor of f and 26. 13 Suppose -2*g - 5*u + 20 = 0, 3*g - 5*g = 4*u - 18. What is the greatest common divisor of 60 and g? 5 Let t(f) = 2*f**2 + 19*f + 18. Let h(i) = -i**2 - 9*i - 9. Let x(y) = 5*h(y) + 3*t(y). Let o be x(-13). What is the greatest common factor of o and 11? 11 Let h(m) = -m**3 + 5*m**2 + 6*m - 1. Let x be h(-2). Calculate the greatest common factor of 55 and x. 5 Let z(s) = 5*s**2 - s + 9. Let c(d) = 3*d**2 - d + 4. Let i(t) = -7*c(t) + 4*z(t). Let j be i(4). Calculate the greatest common divisor of 16 and j. 4 Suppose -17*r = 88 - 377. Let p be 0 + 17/(-2)*-22. What is the highest common divisor of p and r? 17 Let l = 394 - 169. Calculate the highest common divisor of 45 and l. 45 Let u(t) = 5*t**2 - 11*t - 71. Let x be u(12). Calculate the greatest common factor of 11 and x. 11 Suppos
{ "pile_set_name": "DM Mathematics" }
3)/12. Is 11 != r? True Let s be (-3 - (-4 - -3)) + (-1 - -4). Which is bigger: s or 18/29? s Let y be 3/15 + (-93)/(-135). Which is smaller: 1 or y? y Let f(m) = -m**2 + m - 3. Let a be f(0). Suppose -3*g + 6 = -0. Suppose g = -l - 1. Is a != l? False Let y be (-1 - 0) + (-772)/(-22). Let p = y - 34. Let m = 5/187 + p. Is m < 1? True Let k = -0.6 - 0.6. Let p = k + 1.18. Which is greater: -2 or p? p Let n = -0.6 - -0.7. Which is greater: -0.01 or n? n Let b(f) = -2*f - 11. Let u be b(-9). Let g = -3 + u. Let q be 2/(-60)*-3*g. Is q smaller than 1? True Let d(p) = p**2 - 13*p + 3. Let s be d(13). Which is greater: 2 or s? s Let o be 6/(-4)*(-80)/(-6). Is -19 less than o? False Let m be (-42)/12*(-24)/(-238). Which is smaller: m or 1? m Let f = 63 - 62.9. Which is bigger: f or 0.04? f Let n = 0.329 - 0.029. Is n less than -0.9? False Let r = -21 + 25. Do 3 and r have the same value? False Let o be (-2)/(-18)*9/(-66). Does o = 0? False Let n be 6/(-10) + (12/(-10))/3. Is 2/111 > n? True Let v = -1.3 + 0.3. Let o = 0.7 + 0.3. Let r = 0.8 - o. Is r >= v? True Suppose -5 = 2*f + 3. Is -11 less than f? True Let t = -1 - -1. Let z = 50 - 301/6. Is z > t? False Suppose -2*v - 3*y - 3 = -1, 4 = -2*y. Let u(a) = -8*a + a**2 + 8 + 1 - v. Let h be u(7). Are 1 and h unequal? True Let a = 109 - 84. Is a less than 26? True Let k = 2/127 - -113/889. Which is bigger: 1 or k? 1 Let q = 19 + -10. Let l = -0.09 - 5.91. Let d = l + q. Which is greater: -2/3 or d? d Let u = -10 + 10.5. Let l = u - 0.4. Which is smaller: 0.08 or l? 0.08 Let x(r) be the third derivative of -r**5/60 - 7*r**4/24 - r**3 + 3*r**2. Let l be x(-6). Is l equal to -6/5? False Suppose 0 = 2*x + 3*x - 15. Suppose 3*y = q + 4*q - 25, -x*y - 3*q = -15. Which is smaller: 1 or y? y Let b(o) = -8*o**2 - o. Let s be b(-1). Let a be (-9)/s + 2/(-7). Is -1/2 bigger than a? False Let w(q) = q**2 + 2*q - 1. Let d be w(1). Let r be (3 - -1) + (-2)/d. Let l be (-3)/(-4) + r/(-4). Is 2/3 at least as big as l? True Let c(v) = -v + 4. Let t be c(7). Is 1 bigger than t? True Let l = 0 - 1. Suppose 3*j = 6*j - 9. Suppose j*m - m = 0. Is l less than m? True Let w = 622 - 41053/66. Which is bigger: -1 or w? w Let i = 1092 + -22937/21. Is i greater than or equal to 1? False Let r = 1.6 + -0.6. Suppose -4*j - j = -45. Let h be (-2)/j + (-2)/(-9). Is h bigger than r? False Let w be (-1071)/(-332) + 24/(-8). Let j = w - -2/83. Are 2/21 and j unequal? True Suppose -3*o = -4*o. Suppose -3*v + 5*q = 12, 0 = v - 2*q - o + 4. Let c(f) = -f**3 - 3*f**2 + 6*f + 6. Let p be c(v). Which is smaller: p or 0? p Let p = 163 + -188. Which is bigger: -3 or p? -3 Let f(m) = -m**3 + 23*m**2 + 27*m - 73. Let x be f(24). Let q(o) = -2*o - 7. Let g be q(-6). Let h be 4/g*2/(-20). Is x smaller than h? True Let j = -1 - -1. Suppose 3*g + 0 - 6 = j. Suppose z - 9 = -g*z. Is z >= 4? False Suppose -4*j - 6 = -h, h = 4*j - 2*j + 4. Suppose h*l = -2*w - 2, 5*w + 5 + 0 = 5*l. Suppose l = -2*m + m - 2. Is -3 <= m? True Let r = -10 - -5. Let c be ((-4)/r)/(4/(-10)). Which is greater: c or -1/2? -1/2 Let s(n) = 76*n**2 + 2*n - 6. Let q be s(4). Let t be (-2014)/q - (-6)/21. Let u = t + 1/29. Is u at most as big as 0? True Suppose 0 = -2*z + 82 + 38. Is z smaller than 60? False Let i be 2 + (0/(-2))/1. Let d(a) = a**3 - 3*a**2 + 3*a. Let o be d(i). Suppose -p = o*p + 6. Do p and -2 have the same value? True Let t be (-2 - -3)*(-52)/12. Which is smaller: -5 or t? -5 Let a = 5 + -4. Which is smaller: a or -1? -1 Suppose d = 3*d + 8. Let p be (-30)/44 + d/(-8). Let b(g) = -g**2 - 8*g - 7. Let h be b(-7). Which is bigger: h or p? h Suppose 1 = 3*p - 2. Let g be (-2 + 10/4)*-2. Let a be (-12)/(-36)*g/(-1). Is a <= p? True Suppose 4*j - 76 + 13 = 3*g, -9 = -2*j - 3*g. Which is bigger: j or -1? j Let u = -3 + 4. Let r be 51/(-60) - (0 + u). Let a = r - -8/5. Is 2/5 at least a? True Let a = -10 - -2. Let c = 36 - 25. Let y = a + c. Does y = -2/3? False Let m be 6/(-3) - -3 - 2. Which is smaller: m or 1? m Suppose -3*k + 5*w + 11065 = -k, 4*k + w - 22075 = 0. Let z be 3 + (k/9999 - 3). Let l = z + -2/303. Is l at least as big as 0? True Let a(x) = 2*x**3 + x**2 + x - 1. Let v be a(-2). Let j be (4/35)/((-3)/v). Let d = 4 + -2. Which is smaller: j or d? j Let o = -2 + 2.2. Let q = -3.2 + o. Let y = q + 2.9. Which is greater: y or 0? 0 Let a = 1.7 - 3.1. Let b = 0.6 - a. Let w be 6/(-3 - -1) - -1. Which is smaller: w or b? w Let k = 0 - -2. Let v be 5 + (-3 + k)/2. Do 0.1 and v have different values? True Let i = 0 + 0. Suppose 13*v = 9*v + 16. Suppose -5*k - 1 - v = i. Which is bigger: -1/2 or k? -1/2 Let f(h) = -h + 13. Let p be f(9). Suppose p*j - 5*j = 0. Suppose 5*u - 25 = -5*x, -2*u + x - 5 = -0*x. Is j at least as big as u? True Let c(i) = -i**3 - 6*i**2 - 6*i - 1. Suppose -4*d + 3*a + 2 = 7, -4*d = 4*a + 40. Let b be c(d). Let n be ((-8)/(-10))/(2/10). Do n and b have different values? False Suppose 3*w - 2 + 5 = 0. Let u be (-6)/11*(0 - w). Which is smaller: -2 or u? -2 Let v = -51 + 47. Is -7 > v? False Let j = 6 - 7. Let q be (2/4)/(0 - -1 - -7). Is q less than or equal to j? False Let b(k) be the second derivative of k**3/6 - 9*k**2/2 - k. Let j be b(9). Let u be -2 + 1/((-5)/(-8)). Which is bigger: j or u? j Suppose 7*l - 15*l = 0. Is -6/31 less than l? True Let u = -5 - -3.5. Let z = u - -1. Is z greater than or equal to 0? False Let p(v) = v**3 - 5*v**2 + 5*v - 2. Let s be p(4). Suppose 5 - 3 = 2*d. Which is bigger: s or d? s Let x(a) = -a. Let r be x(5). Let o be (r - -8)*(1 + 1). Let w be o/15 + (-36)/75. Which is greater: -1 or w? w Let s = 0.4 + -0.4. Let w(y) = y**2 - 5*y. Let b be w(5). Suppose -c = -2*h + 5, -2*c + 2*h + b = 4. Is c at least s? True Let u = 1.17 - 1.27. Are 1/25 and u non-equal? True Let x = -10 - -17. Let v be (-10)/(-20)*x*-1. Which is smaller: v or 2/3? v Let s be (-44)/33 - 20/(-6). Suppose -v + 0 = 2. Let f = 0 - v. Do s and f have the same value? True Let s = 1 + -2. Let i = s + -1. Let b = -146/3 - -48. Is i at most as big as b? True Let q(y) = y**3 + y**2 - 7*y - 2. Let s be q(-3). Which is bigger: 1/95 or s? s Let t(f) = -2*f - 4*f**2 - 6 - 10 + f**3 + 4 - f. Let n be t(5). Let j = -494/7 - -70. Which is smaller: j or n? n Let d = 14/69 + 3/23. Which is smaller: d or -2/9? -2/9 Let b = 2 - 1.9. Let s = -11/138 + -1/138. Let i = -19/46 + s. Is i at least b? False Let v = 97/4 + -21. Which is smaller: 3 or v? 3 Suppose -51 = 4*k - 15. Let a(t) = t**3 + 4*t**2 - 12*t - 8. Let z be a(-6). Is z at least as big as k? True Let g = 503/10 - 50. Suppose 6*z - 8*z - 2 = 0. Is g smaller than z? False Let z be (-2)/(-3) - (-2)/6. Suppose 4*j + 3*v + 4 = 0, 4*v - v = 4*j - 20. Is j >= z? True Let b = -27/76 + -21/76. Which is smaller: b or -1? -1 Suppose f - 26 = 3*t - 7, -2*f + t + 13 = 0. Suppose -4*w = -3*w - 5. Do w and f have different values? True Let m = -5 + 14. Let y(x) = -x**2 + 9*x + 2. Let p be y(m). Let j = -0.2 - -0.2. Is j equal to p? False Suppose 0 = -2*u + 4*u + 2. Let d = 1/222 - 2003/1110. Which is bigger: d or u? u Let i = 88 - 79. Which is bigger: 6 or i? i Let g = 12 + -6. Let d be (-6)/18 + (-10)/g. Is -5 at least d? False Let y = -374 + 4118/11. Is y <= 0? False Let f = 2683/10 + -268. Let p = 8 - 6. Suppose -k + p*k = 4*s, 5*s = 3*k. Are f and s equal? False Suppose 3*v + 5 - 32 = 0. Suppose 0 = u - 4*u - v. Let w = -2 - 2. Is w equal to u? False Let o be (4 + -2 + 1)/1. Let y be (-86)/(-42) - o/9. Is 3 at least as big as y? True Let q = -12 - -16. Which is smaller: -1 or q? -1 Let r be 53/75 + (-10)/15. Which is smaller: 0 or r? 0 Suppose -3*w + w = 12. Let g be (-12)/(-18) - 14/w. Let a be ((-15)/(-6) + -2)*4. Is a at most g? True Let k = 1 + -2. Let u be (-14)/(-48) + (-1)/2. Let y = u + -1/72. Which is smaller: k or y? k Let w be -1 + 6 + (-3 - -3). Let a be ((w - 4)*-1)/(-3). Suppose 3*d - 5*t + 23 = 0, -26 + 8 = 2*d - 4*t. Does a = d? False Suppose -3*c - 8 = 1. Let g be 1 + 4 - (-5 - -8). Suppose -g*b - 4 = -0. Which is bigger: b or c? b Suppose 2*l = 4*t + 8, 0 = 3*t - 2*t + 1. Let o = 2 - 5. Let b = o + l. Is b not equal to 1/3? True Let f = -18 + 17.6. Is -1/3 at most as big as f? False Let t(w) be the third derivative of w**5/60 - w**4/6 - 7*w**3/6 - w**2. Let g = -6 + 11. Let j be
{ "pile_set_name": "DM Mathematics" }
1 = -d for d. -1 Suppose 6*u - 7*u = u. Solve 7*m - 4*m + 15 = u for m. -5 Let n(r) = -3*r + 4. Let o be n(-4). Let z(q) = -1 + 17*q - 18*q + 0. Let j be z(-6). Solve j*u = o + 4 for u. 4 Suppose 8*y + 2*y = 20. Solve y*q - 10 = 7*q for q. -2 Suppose 30 = 5*u + 5*j, -2*u - u + 5*j - 14 = 0. Suppose u*b = 3*t + 5*b, 5*t = -4*b. Solve 4 = -4*l - t for l. -1 Let i be (6/8)/(2/(-16)). Let n be 2/i - (-21)/9. Suppose 5*f - 5*k - 28 = f, -4*f + n*k = -16. Solve -3*l - f*l - 15 = 0 for l. -3 Suppose 3*b = p + 4, -6*b = -4*b - 3*p + 2. Suppose -5*m + 3 = t, 0*m - 4*t = b*m + 6. Suppose 3*o = 8 + 1. Solve -m = -o*c + 5 for c. 2 Let u(y) = -y**3 + 4*y**2 + 4*y - 5. Let z be u(3). Solve 10 = -z*t + 11*t for t. -2 Suppose 0 = p + 2*p - 18. Let y(k) = k**2 - 2*k + 2. Suppose 3*l - 7 + 1 = 0. Let h be y(l). Solve -h*t - t = p for t. -2 Let s(q) = 5*q**2 - 5*q - 1 - 2*q + 5*q. Let d be s(2). Suppose -z = -6*z + d. Solve -1 + z = -p for p. -2 Let o = 71 + -44. Solve -4*y - 7 = -o for y. 5 Let w = -5 - -8. Suppose -5*v = -w*m + 25, m - 6 - 14 = 4*v. Solve -r - 1 - 2 = m for r. -3 Suppose 0 = 5*n + 5*v, 2*n = 5*n + 2*v + 2. Let o be 8/n*(-76)/(-16). Let d = o + 31. Solve 7*i - d = 4*i for i. 4 Suppose -2*d = -0*d - 14. Let r(k) = k**3 - 7*k**2. Let f be r(d). Solve f = -u + 2*u + 4 for u. -4 Let z(x) = 31*x + 4 - 14*x - 15*x. Let t be z(2). Solve -w = w + t for w. -4 Let p(g) = -g**2 - 6*g + 9. Let d be p(-7). Let b(h) = 2*h**2 + 3*h**d - 2*h**2. Let u be b(-1). Solve 0 = u*k - 0*k - 9 for k. 3 Suppose q + 5*u - 5 = 0, -5 = -0*q - q + u. Let y be ((-2)/(-5))/(1/q). Suppose 40 = 31*t + 9*t. Solve y*n - 7 - t = 0 for n. 4 Let r = 4 - -4. Solve -3*w + r = w for w. 2 Suppose 2*a = -5*t - 0 + 16, a - 3 = 0. Suppose -5*h + 2*l = -4 - 5, 2*h = l + 3. Suppose -3*x = 5*f - 5, 2*f = -5*x + 5*f - h. Solve x = -t*k - k + 9 for k. 3 Suppose d + d = -20. Let o = 11 + d. Suppose -x + 5*s = o, 3*s - 1 - 6 = -x. Solve -x = -v - 2 for v. 2 Let o = 4 + -2. Suppose -o*s + 6 = s. Solve -s*w + 3 = -7 for w. 5 Let w(h) = 2*h - 5. Let a be w(5). Suppose -4*u + 58 = a*o, 2*u + 2 = -4. Solve 1 + o = -5*s for s. -3 Let g be (-17)/(-4) + 60/(-48). Solve 12 = -g*v - v for v. -3 Let v(a) = a**2 + 3*a - 1 - 3*a + 0*a. Let p be v(-1). Solve 2*o + p*o = -8 for o. -4 Suppose -2*i = -8, -3*h + 4*i + 3 = 1. Suppose 2*y + 16 = 2*l, y + 28 = -0*l + 5*l. Suppose 3*q = l*v - 38, -h*q - 24 = -3*v - 3*q. Solve v + 1 = -2*k for k. -4 Let k(j) = -27*j - 9. Let w be k(-1). Solve 2*f + w - 12 = 0 for f. -3 Suppose 15 = 5*h + 5*w, 4*h - 15 = h - w. Solve -5*z = h - 1 for z. -1 Suppose -16 = -n - 3*n. Let a(g) = -2*g**3 - 3*g**2 + 4*g. Let q be a(-3). Suppose r + 0*r - q = 0. Solve -n*t - r = -t for t. -5 Let k be 1 - (-4)/((-12)/(-39)). Suppose -n + k + 10 = 5*i, 3*i = 9. Suppose 3*o - 5*u - 27 = 0, -4*o + 47 - 16 = -5*u. Solve o*q - n - 11 = 0 for q. 5 Let h(r) = 3*r - 4. Let a be h(2). Solve -2*d - a*d = 0 for d. 0 Suppose 5*s = 4*p + 288, -45 = -s + 7*p - 2*p. Let j be 3/9 + s/9. Suppose 0 = 3*d - j*d. Solve d = -2*c - c for c. 0 Let s be 8/52 + (-579)/(-39). Solve 0 = 2*j + j + s for j. -5 Let i(o) = -o**2 - 16*o - 28. Let y be i(-14). Solve y = f - 2 - 3 for f. 5 Let t = -21 + 24. Suppose -6*k + k + a = -13, k + t*a + 7 = 0. Solve -k = -f - 0*f for f. 2 Let l(v) = -v**3 + 6*v**2 - 3*v - 5. Let p be l(5). Let a be 2/p + (-294)/(-15). Suppose -2*t + a = 2*c - 3*t, -c - 4*t = -28. Solve -y - 2*y = -c for y. 4 Let z(g) = -7*g + 21. Let u be z(3). Solve 4*c = -u*c + 20 for c. 5 Suppose 2*g = 3*v - 11, -6*g + 29 = -4*g + 5*v. Solve g*a - a = -2 for a. -2 Let t(k) = -k**2 - 11*k + 12. Let c be t(-12). Solve -g + 11 - 6 = c for g. 5 Suppose x + x - 8 = 0. Suppose 0 = -x*u - 0*y - 4*y - 8, -5*y = 2*u + 10. Suppose u*n = 4*n - 20. Solve -4*o - o - n = 0 for o. -1 Let t(r) = r - 14. Let b be t(14). Solve b - 16 = 4*n for n. -4 Let q(a) = -a**3 - 6*a**2 - 5*a + 2. Let h be q(-5). Suppose -7 = -h*r - 3. Let c = -2 + r. Solve -5 = -o - c*o for o. 5 Let d = -56 - -92. Let j be d/(-45) - 8/(-10). Solve -w + 5 - 3 = j for w. 2 Let f be ((-1 - -12) + -2)/1. Suppose 0 = 2*r + 3*s - f, 3*r + 5*s - 10 = 4. Solve r = -g + 4*g for g. 1 Let t be 4/5 + (-1)/(5/4). Solve k - 2*k = t for k. 0 Let c(s) = 2*s + 16. Let x be c(-8). Solve 5*h = -5 - x for h. -1 Suppose -4*a - i = 1, 4*a + 4*i - 5 - 3 = 0. Suppose 5*o - 6 = -2*z, -z - 3*o = z - 6. Let r be (-4)/(-6) - a/z. Solve -r = 5*h - 21 for h. 4 Let y(b) = -3 + 2*b + 2 - 3*b - 5. Let x be y(-5). Let k = 1 + x. Solve k = 5*h + 10 for h. -2 Let a = -3 - -7. Solve -3*n = -4*n - a for n. -4 Let j = -2 - -8. Let r = 9 - j. Solve 0 = -r*t - 2*t for t. 0 Let q be (-10)/(-2) - (19 - 17). Solve 0 = n + q*n + 8 for n. -2 Let h be (6/(-5))/((-9)/150). Solve h = b + 4*b for b. 4 Let j be 3 - (-2 + -13)/3. Let y(g) = 5*g - 1. Suppose -2*u + 0*u = -2. Let z be y(u). Solve -z*f + 2*f = j for f. -4 Suppose 4*u - 10 = 10. Suppose -3*a + 11 = 5*j, u*a = 2*j + 3*j - 35. Let v = j + -4. Solve -p + 0*p + 1 = v for p. 1 Let p(r) = r**2 + 5*r - 12. Let o be p(-7). Solve -o*i = i + 9 for i. -3 Suppose -2*c - 7 + 43 = 2*x, -81 = -4*c - x. Suppose -j = -4*j + c. Solve j = 3*w - 2 for w. 3 Suppose -6*z + 6 = -3*z. Let f = -4 - -8. Suppose 0 = -f*d + 2*u, z*d - d + 5*u - 22 = 0. Solve -d*t = -3 - 3 for t. 3 Suppose 0 = -l + 5*j + 336, 2*l = -l + 2*j + 1021. Suppose 5*p - 366 = 3*a, 0 = -4*p + a + l - 44. Suppose -2*r + 7*r = p. Solve 6*s - 3*s = r for s. 5 Let m be (-2)/3 - 20/15. Let c be (0 - m)*(-90)/(-5). Let b be 4/(-10) - c/(-15). Solve b = -2*u - 2 for u. -2 Let g be 40/6 + 1/3. Let a(w) = w**2 - 8*w + 9. Let h be a(g). Let x(m) = -m**2 - 23*m - 17. Let f be x(-22). Solve t = h*t + f for t. -5 Suppose -9*n + 5*n = -4. Let g(z) = z + 4. Let r be g(-6). Let j be 28/n + (r - 1). Solve -4*f = f - j for f. 5 Let v = -240 - -240. Let y = -3 - -6. Solve f - y = -v*f for f. 3 Suppose 3 = -y + 4*y. Suppose -1 = h + y. Let k be (-8)/(-2) + (-4)/h. Solve 6*c + k = 3*c for c. -2 Let l be 0 - ((-20)/1)/(-4). Let v be (-2)/((3 + l)/4). Solve 0*b = -2*b + v for b. 2 Let x = 26 + -45. Let w = -6 - x. Solve w = -4*k - 3 for k. -4 Let g(b) = -b**2 + 3*b + 3. Let h be g(2). Suppose 9 = 5*t - 4*y, 6*y - y - 5 = 3*t. Suppose 4*u = -t*m - 7, 2*u - m - 2*m = 13. Solve -h*l = -u - 8 for l. 2 Let f = 1 + 2. Suppose 5*r - 14 - 41 = 0. Solve 4 + r = f*w for w. 5 Suppose 5 = 5*r - 20. Solve -s = -r*s - 20 for s. -5 Let g = 91 + -155. Let j be g/(-6)*27/18. Solve 4*p = -0*p + j for p. 4 Let p = 26 - 24. Solve -f - 1 + p = 0 for f. 1 Let z be (-297)/(-63) - 2/(-7). Let p(f) = 3*f + 13. Let a(x) = -x - 1. Let w(d) = 4*a(d) + p(d). Let j be w(z). Solve j*k + 5 = -15 for k. -5 Suppose -y - 11 = -b, -3*b + 43 = -y - 0*y. Let p = b + -16. Solve p = -4*m - 8 for m. -2 Let s(r) = -r - 3. Let q be s(6). Let p be q/2*20/(-15). Suppose 5*t - 2 - 13 = 0. Solve 6 = t*v - p for v. 4 Suppose -56 = -4*u - 3*u. Solve 0 = 2*k - u for k. 4 Let d = -19 - -37. Suppose -2*t + d = 5*a, -5*a - 2*t = -5*t + 2. Solve 0 + a = 2*r for r. 1 Suppose -64 = 2*g - 6*g. Let s = -10 + 14. Suppose -2*j + 2 + s = 0. Solve 0 = -h - j*h - g for h. -4 Suppose 0 = -5*v + 14 + 1. Solve -8 = -v*f + 4 for f. 4 Let z = 13 - 9. Solve 1 = 3*p - z*p for p. -1 Let k be (0 - 0) + (-56)/(-7). Suppose -2*p + 3*l = 0, -p = -5*p + 2*l + k. Solve 13 = -p*x + 4 for x. -3 Suppose 5*g + o = 5, 2*o + 18 = -g - 2*o. Suppose 0*z = g*z - 40. Solve 6*q = q - z for q. -4 Let x be (-17)/(-7) + (-18)/42. Solve -x*l - 2 = -6 for l. 2 Let a = 2 + 1. Let s be (-39)/(-9) - 1/a. Solve 0 = 5*r + s - 29 for r. 5 Let g(x) = 5*x**3 + 2*x - 1. Let r be g(1). Suppose 5*o + 2 = 4*s, -4*s - 2*o - 1 + 17 = 0. Solve -r*w + 3 = -s*w for w. 1 Let g(p) = 11*p - 1. Let b be g(-1). Let c be ((-1)/(-3))/((-2)/b). Suppose h + 5 = c*h. Solve -h*s + 13 = -12 for s. 5 Suppose -3*m - 9 = -5*w + 1, -5*m + 5 = -4*w. Suppose -5*q + m = g, -6*q + 10 = -3*q + 2*g. Solve q*c = 3*c - 15 for c. 5 Let s(l) = -5*l**3 - 2*l**2 + l + 2. Let h be s(-1). Solve -h*x = -2*x + 6 for x. -3 Suppose 5*t + 28 = 153. Solve 2*j = 7*j - t for j. 5 Let i(a) = -a - 3. Let w be i(-3). Let x = -3 + 1. Let u be (x/(-6))/(4/36). Solve -2*l + u*l = w for l. 0 Let h be 6/(-2)*1*3/(-3). Solve 7*t = 6*t - h for t. -3 Suppose -2*o + 1 = -d - 6, 0
{ "pile_set_name": "DM Mathematics" }
al places? -0.0000017 Let q = -1150497 - 6879771. Let p = q - -14444268. What is p rounded to the nearest one hundred thousand? 6400000 Let j = 57358.9943341 + -57359. Round j to 3 decimal places. -0.006 Let b = 69.56 - 52. Let r = b - 8.2. Round r to zero dps. 9 Let u(j) be the first derivative of -429755*j**2 - 40*j + 164. Let v be u(-4). Round v to the nearest 100000. 3400000 Let t = 46 - 61. Let a be (-1 - (-3)/t)/((-4)/(-16200)). What is a rounded to the nearest 1000? -5000 Let w(u) be the first derivative of 19599*u**2/2 + 9*u + 19. Let f be w(9). Suppose -r = -8*r + f. Round r to the nearest 10000. 30000 Let x = 510365681 + -510365831.9999934. Let o = x - -151. Round o to five dps. 0.00001 Let i = -0.31 + 3.91. Let o = 6134747.6000104 - 6134744. Let y = i - o. What is y rounded to six dps? -0.00001 Let r = 6091 - 6090.95574. What is r rounded to three decimal places? 0.044 Suppose 24*n - 547911 = 15*n. Suppose -7*r + 54621 + n = 0. Round r to the nearest 1000. 17000 Let f(p) = 580*p - 20. Let w be (3/12)/((-1)/4). Let a be f(w). What is a rounded to the nearest one hundred? -600 Let n(s) = 15367*s**2 + 71*s - 1186. Let d be n(18). What is d rounded to the nearest 1000000? 5000000 Let j = 1251 - 1001.8. Let x = -212 + j. Round x to the nearest 10. 40 Let o = -2.622 + 2.9118. Let f = o - 0.305. What is f rounded to 3 decimal places? -0.015 Let h = -0.33041602 + 0.3304. What is h rounded to 6 decimal places? -0.000016 Let u(g) = -8*g - 2. Let y be u(-1). Suppose 45450000 = -y*f + 15*f. What is f rounded to the nearest 1000000? 5000000 Let h = -2.33684 + 2.8953. What is h rounded to 3 dps? 0.558 Let g = 324.96138 + -325. What is g rounded to two decimal places? -0.04 Let w = -1470.999423 + 1471. Round w to 4 dps. 0.0006 Let h = -449 - -479.4. Let z = h + -30.400654. Round z to 4 dps. -0.0007 Let a = -17 + 47. Suppose -10 + a = 10*m. Suppose 0 = m*n - 325 - 559. What is n rounded to the nearest one hundred? 400 Let l be 1/(33419438/200516664 - (-1)/(-6)). Let d = l - -23139444. Round d to the nearest one million. -10000000 Let y = 4236.157 - 4245. Let x = -8.772936 - y. Let t = x - 0.07. Round t to 5 dps. 0.00006 Let v = -1.3104536 + 1.3123. What is v rounded to 5 decimal places? 0.00185 Let y = 394 + -393.9817. Let h = y - 0.0182607. What is h rounded to five decimal places? 0.00004 Let g = -3318.135653 - 1960.753599. Let v = g - -5279. Let h = -0.111 + v. What is h rounded to 5 decimal places? -0.00025 Let z(y) = 588*y + 104. Let w be z(16). Let g be 2 - 7 - (w - 17). What is g rounded to the nearest one thousand? -10000 Let y = 853.3 + -781. Let a = -507 - -588. Let w = y - a. Round w to 0 dps. -9 Suppose 4*t - x = 4*x + 8, t + x - 11 = 0. Suppose -5*n + 3 = -t. Suppose -k - 2*k - u - 18 = 0, 0 = -n*k - u - 12. What is k rounded to the nearest ten? -10 Let u = -6.5156 - -0.0156. Let j = 6.51342 + u. What is j rounded to 3 decimal places? 0.013 Let n = -146 - -620. Let z = 474.486 - n. Let w = 0.52 - z. Round w to three dps. 0.034 Let l = 1248 + -1895. Let k = 649.336 + l. What is k rounded to one decimal place? 2.3 Let q = 4291 - 4290.99997502. Round q to 5 dps. 0.00002 Let u = -4.666 - -350.566. Let x = -5.83 + 368.83. Let k = u - x. What is k rounded to 0 decimal places? -17 Let y = 1300 + -1400.85. Round y to 0 decimal places. -101 Let g = 0.252 - -10.048. Let m = g - 10.03. What is m rounded to 2 decimal places? 0.27 Let o be (-8)/((-8)/(-37947)) + 7. Round o to the nearest 1000. -38000 Let d = 1.02 + -1.47. Let z = d - -0.450028. What is z rounded to five decimal places? 0.00003 Let k be (91/4)/((-7231)/1204 + 6). Let v = k + 5680. Round v to the nearest 10. 1770 Let n = 0.0047 - -0.03259. What is n rounded to three decimal places? 0.037 Let d = -6634.9996629 - -6635. Round d to 6 dps. 0.000337 Let b = 80 - 78. Let j be b - -2 - (0 - -10). Let k be 16*83*(525/j)/(-7). What is k rounded to the nearest one thousand? 17000 Let c = 0.0771 + -0.077114667. What is c rounded to seven dps? -0.0000147 Let n = -1.01921 + 0.07491. Let i = -0.79456 - n. Let y = 0.15 - i. Round y to 4 dps. 0.0003 Let k = 92.5 + -92.51768. What is k rounded to 2 dps? -0.02 Let v = -1151210.240538 - -1151319.24. Let o = 109 - v. Round o to five decimal places. 0.00054 Let n = 23603.155 - 23549. Let a = -54 + n. What is a rounded to 2 dps? 0.16 Let i = -21289.895 - -21107. Let z = i - -183. Round z to 2 dps. 0.11 Let n = 32.09 + -35. Let j = 598 + -594. Let g = n + j. Round g to one dp. 1.1 Let u = -1.28 - -1.2343. Let l = u + 83.7457. What is l rounded to the nearest 10? 80 Suppose -22*i + 8*i + 28 = 0. Let d(q) = -147999*q**3 - 5*q + 2. Let a be d(i). Round a to the nearest 100000. -1200000 Let n(b) = b - 6. Let i be n(8). Suppose x + 3 = v, v - 2 = i*x + 3. Let d be 583 + (x/(-6))/(6/(-54)). Round d to the nearest 100. 600 Let s = 8.3 - 2.2. Let k = s + -5.59. Let o = k - 0.22. What is o rounded to one dp? 0.3 Let v = -354126209 - -806017180. Let i = v + -451891122.9999224. Let d = 152 + i. What is d rounded to five dps? 0.00008 Let i = -9574 + 6048. Let h = -3681.9 - i. Round h to the nearest 10. -160 Let y = 55 + 27. Let j = y - 81.134. Round j to one dp. 0.9 Let h = 4294 - 4269.01. Let p = -160.31 - h. Round p to the nearest ten. -190 Let t(b) = b**2 - 9*b + 29. Let h be t(6). Suppose -12*n = h*n + 253. Round n to the nearest integer. -11 Let z be (420/(-175))/(6/25030). Round z to the nearest 1000. -10000 Let p = 32 + 6. Let f = p + -35. Suppose 5*j - f = 2, -5*j = 2*d + 635. Round d to the nearest 1000. 0 Suppose -219296972 = -a + 5*s, -s = -a - 0*s + 219296956. Let b = -339910228 + a. Let l = -53213276 - b. Round l to the nearest 1000000. 67000000 Let a = -3475.26 + 3396. Let h = 50.57 + a. What is h rounded to 0 dps? -29 Let i = -601.1538 + 631. Let r = i - 29.7. Let y = -0.146943 + r. Round y to four decimal places. -0.0007 Suppose 0 = m - 2, -4*q - 4*m + 16 = -2*m. Suppose q*n - 1486 = 6464. Suppose -5*u - 32 + 7 = 0, 3*j = -2*u - n. Round j to the nearest one hundred. -900 Let d = -258.966 + 259. Let j = -0.096 - d. Round j to two decimal places. -0.13 Let d = -86.30004703 - -86.3. Round d to five dps. -0.00005 Let c = -89 - -381. Let m = 291.9372 - c. Let r = m + 0.06280253. What is r rounded to 7 decimal places? 0.0000025 Let l = -2.222 + -0.548. Let c = -2.7 - l. Let a = 11.73 + c. Round a to zero dps. 12 Let w be ((-14)/21*-211)/(2/(-6)). Suppose 0*j - 2*j - 196 = 0. Let q = j - w. What is q rounded to the nearest 100? 300 Let r = 3005.8 - 3005.8043657. Round r to 4 dps. -0.0044 Let x = 7582 - 5987.2. Round x to the nearest ten. 1590 Let d = -137.8 + 138. Let a = -0.19694 + d. What is a rounded to 4 dps? 0.0031 Suppose 35*s = 26*s + 18. Suppose -6*k + 3*k - 3*j + 19529985 = 0, 2*j = s*k - 13020010. Round k to the nearest one million. 7000000 Let f = -735106.9 - -735106.935901944. Let h = f + -0.0359. What is h rounded to 6 decimal places? 0.000002 Let u = 561.02 + -9808.82. Round u to the nearest one hundred. -9200 Let g = -35678.3 + 34232. What is g rounded to the nearest 10? -1450 Let d = 0 - -0.012. Let h = 3.656 - 4.014. Let u = d - h. Round u to 1 decimal place. 0.4 Let z = -197 - 8. Let g = z + 205.000114. What is g rounded to five dps? 0.00011 Let t = 36561207803018762 - 36561202350505721.9999871. Let q = t + -5452513340. Let x = q + 300. What is x rounded to six dps? 0.000013 Let o = 64174 - 231054. Round o to the nearest one hundred thousand. -200000 Let p = -0.0369 + -263.9631. Let d = p - -265.06. What is d rounded to zero dps? 1 Let p = 6590 + -6589.94475. Round p to three decimal places. 0.055 Let i be ((-55926)/(-8))/(-9)*-336. Let b = 15 + -11. Suppose 3*q = -0*g - 3*g - i, 0 = 4*q - b*g + 348016. Round q to the nearest ten thousand. -90000 Suppose -18 = 2*w + 7*w. Let k be w/(-8) - 116834385/(-60). Let o = 13847240 - k. What is o rounded to the nearest 1000000? 12000000 Let i = 11620 + -12156.85. Let p = -0.15 + i. Let x = p + 531.97. Round x to one dp. -5 Let r = -3421 + 3420.99995017. What is r rounded to 6 decimal places? -0.00005 Let p = -263 - -280. Let s(w) = -253*w**2 - 18*w + 23. Let i be s(p). Round i to the nearest 1000. -73000 Let o = -8034 - -8033.75699. What is o rounded to two dps? -0.24 Suppose 116*d = 113*d + 12.
{ "pile_set_name": "DM Mathematics" }
*l - 2*u, i = -4*l + 3*u + 11 + 108. Suppose 5*b - 5 = -3*g + 3, 4*g = b + l. Give f(g). 7 Let q(y) = y**3 - 5*y**2 - 7*y + 8. Suppose 3*l = -l - 4. Let m be l + 0 + 2 - -4. Suppose -2*h + 2*w - 10 = -22, m*h + 2*w - 30 = 0. Determine q(h). 2 Let y(f) = f + 6. Suppose 0 = 5*h - 5*t - 30, 3*t + 5 + 6 = -4*h. Let r be (-5 + h)/(-1) - 14. Determine y(r). -4 Let n be (-42)/(-9)*6/(-4). Let p = -5 - n. Let y(k) = -3*k - 3*k**3 - p*k + 4*k**2 + 4*k**3 + 4. Calculate y(-5). 4 Let t(l) = -l**2 + 39*l + 36. Let n be t(-1). Let z(a) = -a + 3 - 5 + 0*a. Calculate z(n). 2 Let i(s) = -38 - 35 - 39 + 117 + 2*s. Calculate i(3). 11 Suppose -2*f + 26 = -i - 9, 5*f = 2*i + 86. Suppose 0 = -5*c - f + 1, -3*c - 34 = -5*z. Let l(q) = -3*q - 1. Give l(z). -16 Let n be (-6)/9*-6 - (-4 + 2). Let l(d) = d**3 + 2*d + d - 2 - d**2 + 0 + n*d**2. Give l(-4). 2 Let a(q) be the second derivative of q**4/12 - 2*q**3 + 4*q**2 + 247*q. Give a(7). -27 Suppose -4*q + 16 = 0, 18*q + 9 = -5*x + 19*q. Let n(s) = -4*s**2 + s. What is n(x)? -5 Let l(x) = x**2 - 4*x + 2. Let g(d) = d**3 + 8*d**2 + d + 6. Let r be g(-8). Let w be (r - 10/(-3))*(-99)/(-22). Determine l(w). 14 Let p be (-20)/(-70) - (-2)/(-7). Let h(a) = -3*a**2 - 334 - 2*a + 336 + p*a**2. Let z = 2 - 4. What is h(z)? -6 Suppose -4*t + 7*r - 4*r = -40, 3*t - 3*r = 30. Let w be (-12)/t*(0 - -5). Let a(d) = -21 + d + 29 - d**3 - 2*d - 6*d**2 + 0*d**3. What is a(w)? 14 Let v(w) = w**3 + 4*w**2 - w - 10. Suppose -c - 6 = -5*j + 8, 3*c + 22 = 5*j. Determine v(c). -6 Let w(y) = y - 17 - 12 - 13 + 2*y + 12. Calculate w(9). -3 Let u(p) = 9*p - 6. Let z = 19 + -11. Determine u(z). 66 Let o be (-6)/((-7)/(42/9)). Suppose -o*d - 13 = -49. Suppose -5*x + 25 = -v, -x + 5*v - d = 2*v. Let p(f) = f. Determine p(x). 6 Let w(k) be the second derivative of k**7/2520 + k**6/144 - k**5/24 - k**4/12 - 3*k. Let n(v) be the third derivative of w(v). Determine n(-5). -5 Let k(d) be the third derivative of -d**6/360 - d**5/24 - d**4/24 + 7*d**3/3 + 43*d**2. Let p(a) be the first derivative of k(a). Give p(-4). 3 Suppose o + 12 = -4*b - 19, 0 = 3*b - 3*o + 27. Let w(i) = -5*i**3 + i**2 + 9*i. Let h(v) = -2*v**3 + 3*v. Let k(q) = b*h(q) + 3*w(q). What is k(-2)? -2 Suppose 7*m = 11*m - 12. Let x(b) = -5*b + 8*b - 4*b + 9*b + 8 + b**m - 8*b**2. What is x(7)? 15 Let x(y) = y + 5. Let m(d) = -d**3 - 35*d**2 - d - 43. Let c be m(-35). Give x(c). -3 Let q(w) be the first derivative of 17*w**3/3 - w**2/2 + w + 1673. Suppose -3 - 2 = -5*b. What is q(b)? 17 Let d = 6 - -16. Let s = d + -20. Suppose -f = -i - 5, f - s*i = 2*i + 14. Let l(y) = y**3 - 4*y + 3. What is l(f)? 3 Let f(p) = 2*p - 1. Let b(y) = 4*y. Let x(i) = -2*b(i) + 5*f(i). Let o be (1 - -1)*(-15)/6. Calculate x(o). -15 Let n(s) be the first derivative of 5*s + 0*s**3 + 0*s**2 - 1/6*s**4 + 7. Let i(f) be the first derivative of n(f). Determine i(1). -2 Let g = 12 - 9. Let c(v) = -5 + 2 - 2 - g*v - 1. Determine c(-6). 12 Let j(z) = -z**2 - z + 7. Let b = 67 - 63. Let p(n) = n**2 - 2*n - 13. Let m be p(b). Calculate j(m). -13 Let h = -1723/3 + 575. Let b(d) be the first derivative of 1/4*d**4 + h*d**3 + 4*d - 7 - 3/2*d**2. Determine b(-3). 4 Let r(n) = 2*n**2 + n + 1. Let v(o) = 3*o**3 - 3*o + 2. Let i be v(1). Suppose -y + 5 = 0, i*m + 4*y - 22 = m. What is r(m)? 11 Let n(h) be the third derivative of -h**4/24 - 11*h**3/6 + 33*h**2. Calculate n(-15). 4 Let n(l) = -3*l**2 - 5*l - 1. Let q(u) = u**2. Let b be -4*(-4)/(-8) - -4. Suppose s = -s + b. Let a(r) = s*n(r) + 4*q(r). Give a(6). 5 Let z be 16/(-12)*-3 + 3. Let n(u) = -z + 2 + 2 - u + 2. Give n(-2). 1 Suppose 2*u = -3*y - 6 + 20, 3*y = 12. Let c(j) = -u + 0 + j + 0. What is c(2)? 1 Let n(k) = -5*k**2 + 4*k - 3. Let p(r) = 4*r**2 - 3*r + 2. Let d(w) = -2*n(w) - 3*p(w). Determine d(2). -6 Let w(a) = -17*a + 9. Let c(o) = -3*o + 1. Let f(v) = 6*c(v) - w(v). Determine f(-8). 5 Let s(w) = w - 35 + 16*w**2 - 2*w - 11*w**2 - 3 - 6*w**2 + w**3. Calculate s(0). -38 Let v(d) = -d. Let a(g) = 5*g + 9. Let z be (-24)/(-15) - (1 - 4/10). Let l(x) = z*a(x) - 2*v(x). Determine l(-6). -33 Suppose 3*d + 221 = 2*w, 373 = -d - 4*d + w. Let g = 79 + d. Let l(z) = z**3 - 3*z**2 - 3*z + 6. Give l(g). 10 Let f(n) = n - 4*n**3 - n + 3*n - 1 - 4*n**2. Let x(b) = 5*b**3 + 4*b**2 - 4*b + 2. Suppose 5*k + 15 = -10. Let z(p) = k*x(p) - 6*f(p). Determine z(4). 4 Let v(c) = -9*c - 1. Let m(g) = 1. Let l(t) = -5*m(t) - v(t). What is l(5)? 41 Let n(m) = -143*m + 51*m + 48*m + 58 + 50*m. Give n(-11). -8 Let g(n) = -154*n**2 + 4 - 16 - 23 + 35*n. Let k(m) = -2*m - 128 + 9*m**2 + 67 + 63. Let p(w) = -2*g(w) - 35*k(w). Determine p(-1). -7 Let o(d) = 2*d**3 + 6*d**2 + d - 3. Let q be o(-2). Let l(k) = 3*k - 6. Calculate l(q). 3 Let y(h) = h**2 - 9*h + 2. Suppose 62*p - 64*p + 4 = 0. Suppose 5*j + 2*o - 46 = -14, 0 = -p*j + 4*o + 32. Determine y(j). -6 Let l(n) = -2*n**2 - 2*n**2 - 4*n + 9 + 5*n**2 - 11 - 1. Let b = -1 + 4. Give l(b). -6 Let w = 42 + -36. Let o(a) = 3*a**3 + 17*a**2 - 5*a + 14. Let q(i) = -5*i**3 - 26*i**2 + 8*i - 21. Let t(d) = -8*o(d) - 5*q(d). Give t(w). -7 Let i(n) = n**3 + 8*n**2 + 8*n + 7. Let g be 10/((2/8)/1). Let a = g + -47. Give i(a). 0 Suppose 0 = -2*m, -5*j + 13 + 17 = -m. Let r = 1 + j. Let u(s) = -7*s**2 + 4*s**2 + 2 + 4*s**2 + 2 - r*s. Calculate u(5). -6 Let q be 1*(3 + -2 + -2 + 3). Let w(s) be the second derivative of -6*s + 1/6*s**4 + 0 - s**2 + 1/6*s**3. What is w(q)? 8 Let w(r) = 5*r - 1. Suppose 0 = 3*k + 5*k + 112. Let f be 2*21/k*(-2)/(-6). Calculate w(f). -6 Let o(u) be the first derivative of -2*u**3/3 + 9*u**2/2 - 3*u + 8. Determine o(6). -21 Let z(s) = 7*s + 11. Let m(j) = 11*j + 16. Let r(g) = -5*m(g) + 8*z(g). Suppose 8 = -4*t - 5*v - 20, -5*t + v - 35 = 0. Determine r(t). 1 Let d(s) = 3*s**3 - 11*s**2 + 4. Let f(c) = 7*c**3 - 23*c**2 + c + 8. Let v(t) = 9*d(t) - 4*f(t). Let x be ((-18)/21)/(1/7). Give v(x). -8 Let j(q) = -3*q**3 + 8*q + 9*q**2 + 6*q**3 + 6 - 4*q**3 + 7 - q**2. Determine j(9). 4 Let v be 6/3 - (-8 - -7 - -5). Let d(n) = -2*n**3 + n**2 - 2*n - 2. Calculate d(v). 22 Let o(x) = 3. Let r(m) = -5*m - 20. Let h(z) = -6*o(z) - r(z). Calculate h(2). 12 Let g(f) be the third derivative of f**8/20160 + f**7/1680 - f**6/360 + 23*f**5/60 - f**2. Let l(k) be the third derivative of g(k). Determine l(-3). -2 Let y(t) = -2*t + 3. Let d be y(0). Let p(r) = -2*r**2 + r + 2. What is p(d)? -13 Let i(n) = 5*n**2 + 24*n - 21. Suppose 0 = 7*l - 2*l + 55. Let j(p) = p**2 + 5*p - 4. Let d(k) = l*j(k) + 2*i(k). Calculate d(-6). 8 Let k be (1/1)/(6/12). Let x(g) = -2*g + 6*g - 234*g**2 + 235*g**k. Give x(-5). 5 Suppose 0 = -2*v + 8, 2*i - v + 24 = -2*i. Let g(d) = 4*d - 2*d - 12 - 3*d. Determine g(i). -7 Let s(v) = 11*v**2 + 2*v + 2. Let i(w) = -w**2 - 4*w + 10. Let g be i(-6). Let k(o) = o**2 - o - 1. Let u(r) = g*k(r) - s(r). Determine u(-1). -13 Let n = -397 + 389. Let a(l) = 2*l**2 + l - 2. Let r be a(-2). Let f(j) = 4*j + j + 5 - r*j. Determine f(n). -3 Let z(o) = 6*o - 4*o - o. Let t(g) be the first derivative of -g**4/4 - 5*g**3/3 + g**2/2 + 4*g + 5. Let m be t(-5). What is z(m)? -1 Let a be 0*(-4 + (-91)/(-21)). Let k(j) = j**2 + j + 11. What is k(a)? 11 Suppose -3*f - 5*m - 7 = -f, -2*f = -m + 13. Let s = f + 26. Let d(n) = -6*n - 6 - 15 + s. Calculate d(-1). 5 Let i(n) = 2*n**2 - 43*n + 21. Let l be i(21). Let x(g) = l - 5 + g**3 - 4*g**2 + 2*g - 1. Give x(4). 2 Let x be (14/6)/7*15. Suppose p = x*z + 9, 3*p + p + 3*z - 13 = 0. Let u(h) = h**2 - 4*h + 1. What is u(p)? 1 Let q(p) be the third derivative of p**6/120 - p**5/15 - 5*p**4/24 + 2*p**3/3 - 243*p**2. Give q(5). 4 Suppose 39*i - 57 - 21 = 0. Let n(y) be the second derivative of -2*y**3/3 - y**2 - y. Calculate n(i). -10 Let b(a) be the first derivative of a**3/3 + a**2/2 - 45*a + 477. Determine b(-7). -3 Let n(d) = -5*d - 64. Let p be n(-12). Let b(t) = 5*t. Determine b(p). -20 Let x(w) = 4*w**2 + w - 1. Suppose 0 = -d - 5*r + 34 - 8, -2*r = -3*d - 7. Give x(d). 4 Let b = -259 + 248. Let w(r) = -2*r + 4. Determine w(b). 26 Let b(x) be the second derivative of 0 - 9*x - 19/6*x**3 - 1/2*x**2. What is b(1)? -20 Suppose -32*s + 110 = -43*s. Let t(n) = n + 7. Calculate t(s). -3 Suppose -2*n - n = -2*q + 24, 3*q - 6 = -3*n. Let y(u) = -u**2 + 5*u - 2. Let f(l) = 5 - 6 + 5*l -
{ "pile_set_name": "DM Mathematics" }
62. Calculate the greatest common divisor of 940 and n. 94 Let p = 130 + 62. Suppose -3*v - 18 = -84. Let j = v - -2. Calculate the highest common factor of p and j. 24 Let q(w) = -3*w - 5. Suppose 5*b = 4*j - 27, -3*j = b - j + 11. Let m be q(b). Let a = 461 + -445. Calculate the greatest common factor of m and a. 16 Let y = 2 + -109. Let o = y - -137. Let x(m) = -m**3 - 4*m**2 - 2*m - 2. Let k be x(-4). Calculate the greatest common divisor of o and k. 6 Suppose -s + 1 = -2*z + 7, -z - 5*s - 19 = 0. Calculate the greatest common divisor of 3 and z. 1 Let k = -142 - -226. What is the highest common factor of 96 and k? 12 Let j = 453 - 301. Calculate the highest common divisor of j and 95. 19 Let p(g) = -2*g + 86. Let f be p(34). Suppose -2*x - l = 2*x + 34, -5*x - 4*l = 48. Let i = -6 - x. What is the highest common divisor of i and f? 2 Let b = -18 - -19. Let h be b/6 - 1594/(-12). Let g = -63 + h. What is the highest common factor of g and 14? 14 Let g = -31 + 38. Suppose -5*w = -g*w + 32. Calculate the greatest common divisor of 12 and w. 4 Suppose 0 = -4*f - 4*q - 21 + 73, -4*q = f - 13. Let w be f/2 + (-13)/26. Suppose 0 = w*k - 2*k - 80. Calculate the highest common divisor of 10 and k. 10 Let v(q) = 8*q**2 - 16*q + 6. Let s be v(8). Calculate the greatest common divisor of s and 30. 30 Suppose -2*v = 3*v. Suppose 1 + 194 = 5*i + 5*k, v = i - k - 39. Let y = 103 - i. What is the greatest common factor of y and 16? 16 Let b(o) = -5*o + 3. Let p be b(0). Let u be (p - (-10)/(-3))*-33. Calculate the highest common factor of u and 77. 11 Let l(z) = -z**2 + 7*z + 13. Let i be l(8). What is the greatest common factor of i and 15? 5 Let k(v) = 33*v - 7. Let h be k(1). Calculate the highest common divisor of h and 52. 26 Suppose -t + u = -3*t - 2, -t - 11 = 3*u. Let s be 55 + (3 - 3) + t. What is the highest common divisor of s and 42? 14 Let l(c) = -2*c - 5. Let h(j) = -5*j - 15. Let s(t) = -3*h(t) + 8*l(t). Let p be s(-6). Calculate the greatest common divisor of p and 11. 11 Suppose -20*v + 39 = -19*v. Calculate the highest common divisor of v and 975. 39 Let s(x) = -4*x**2 + 39*x + 16. Let g be s(10). What is the highest common divisor of 78 and g? 6 Let z = -178 + 292. Let m = -60 + z. Suppose 4*u = -2*j - 0 + 8, -5*j - 3*u = -27. Calculate the highest common factor of m and j. 6 Let i = 43 - 38. Suppose -i*p = -4*m - m + 160, 3*m + 3*p - 120 = 0. Calculate the greatest common divisor of 54 and m. 18 Let n = -86 + 87. What is the greatest common factor of n and 34? 1 Suppose -3 + 21 = -6*y. Let q be 0 + 2/(51/15 + y). Calculate the highest common factor of q and 5. 5 Let v = -20 - -8. Let m be ((-64)/v)/(-3*2/(-45)). What is the highest common divisor of m and 5? 5 Suppose 0 = -44*c + 39*c + 30. Suppose -86 + 302 = c*u. Calculate the greatest common divisor of 48 and u. 12 Let i = 8 + -4. Let r = 80 + -81. Let f be (r/(-3))/(7/840). Calculate the greatest common factor of i and f. 4 Let n = 1155 - 479. Calculate the greatest common factor of 416 and n. 52 Let z = -3130 - -5226. Calculate the highest common factor of 16 and z. 16 Suppose -28 = -4*c - 8. Suppose 2*v - 32 = -0*v + p, c*p = 2*v - 32. Suppose s - 5 = z + 2, -v = 4*z. What is the greatest common factor of s and 33? 3 Let r(f) = f**3 - 49*f**2 - 155*f - 26. Let y be r(52). Calculate the greatest common divisor of y and 1469. 13 Let p be (-518)/(-7) - 0/1. Suppose 157 + p = 3*m. Calculate the greatest common divisor of 11 and m. 11 Let o(u) = u - 18. Let g be o(15). Let v(q) = -8*q - 12. Let c be v(g). What is the highest common divisor of c and 36? 12 Suppose 0 = 3*r - f - 3297, -5*r + 10*r + 4*f = 5512. What is the greatest common divisor of 44 and r? 44 Let x(j) = -j**3 + 6*j**2 - 3*j - 2. Let z be x(4). Suppose 28*y - 2272 = -256. Calculate the highest common factor of z and y. 18 Let k = 404 - 132. Calculate the greatest common factor of 34 and k. 34 Suppose v - 2*f - 1632 = 0, 0 = 5*v - 3*f + 2496 - 10642. Calculate the greatest common factor of 44 and v. 44 Suppose -5*q + 483 = -4*t, 505 - 121 = 4*q - 2*t. Calculate the greatest common factor of q and 76. 19 Let o be 128/(-48)*51/(-4). Calculate the greatest common divisor of o and 153. 17 Let j = 42 - -190. Let o = -180 + j. What is the highest common divisor of 2 and o? 2 Let q = 40 + -136. Let u be q/36*3/(-2)*1. What is the greatest common divisor of u and 2? 2 Suppose -d - 1 = -2*d. Suppose -g + d = -14. Calculate the highest common divisor of 45 and g. 15 Let u be (0 - -5)/(1/13). Let o be (5/25)/(4/(-104))*-5. Calculate the highest common divisor of o and u. 13 Let m(n) = -n**3 - 4*n**2 + 3*n. Let d = 26 + -16. Suppose d = 5*r - 7*r. Let p be m(r). Calculate the greatest common factor of p and 15. 5 Suppose 0*f = 3*f - 4*u - 48, 5*u - 9 = -2*f. Suppose -x + 0 + f = 0. Calculate the highest common factor of x and 3. 3 Suppose o + 25 = 6*o. Suppose -4*m = o*q - 45, -m + 19 + 1 = 3*q. Let h(t) = -10*t - 295. Let l be h(-34). What is the highest common factor of q and l? 5 Suppose 13*c = 8*c + 175. Suppose 0 = -2*u + c - 13. What is the highest common divisor of 88 and u? 11 Let n(f) be the first derivative of -9*f**2/2 - 7*f - 1. Let c be n(-7). Calculate the highest common factor of c and 84. 28 Suppose -4*c + 3016 = -2*f, -3767 = -c - 4*c + 4*f. Suppose c = -6*y + 5807. Let h = y + -594. What is the greatest common factor of h and 31? 31 Suppose 0 = 3*l - 3*z - 351, -8*z + 6*z = l - 129. Calculate the highest common factor of 22 and l. 11 Suppose 0 = -5*n - 4 + 54. Let z be 2/(-9) + 58/18. Suppose z*o - n = o. What is the greatest common divisor of 55 and o? 5 Let n = 92 - 66. Suppose -5*g - 5*u + 60 = 0, u = 2*g + 2*u - n. Calculate the greatest common factor of g and 14. 14 Let x be (6/2 + -3)*1. Suppose -2*j + j + 108 = x. Calculate the greatest common divisor of 27 and j. 27 Let x(k) = k**2 - k - 30. Let z be x(6). Suppose z = -9*b + 2*b + 91. Let n(c) = -14*c - 5. Let a be n(-5). Calculate the greatest common factor of a and b. 13 Let i be 5619/75 - 12/(-150). Suppose u = 2*u - 4*w - 33, 132 = 3*u - w. Calculate the greatest common divisor of u and i. 15 Let b be 12 + (6 + -1 - 9). What is the greatest common divisor of b and 200? 8 Suppose -w = w - 26. Calculate the highest common divisor of 39 and w. 13 Let i be (-13518)/(-99) - (-6)/(-11). Calculate the highest common factor of 17 and i. 17 Suppose 3*r + 32 = -s + 5*s, 0 = s - 4*r - 8. Suppose 10*u = 12 + s. Suppose w + 8 = 2*l, 2*w = l + w - 5. What is the highest common divisor of u and l? 1 Let t be (-1 - 5)*(-200)/12. Suppose p = 3*p - t. Suppose 3*y - 44 = -14. What is the highest common divisor of y and p? 10 Let u be 374/1 + (2 - 1). Suppose -m = 2*m + 3*v - u, 0 = -5*m + 4*v + 634. Let o = -1 + 15. Calculate the highest common divisor of o and m. 14 Let f = -476 - -1027. Calculate the highest common divisor of 29 and f. 29 Suppose 3*m + 220 = -4*q, m + 4*m + 3*q + 385 = 0. Let b = m + 101. Calculate the greatest common divisor of 28 and b. 7 Suppose -5*l = 5*p - 700, -4*l - 18*p + 560 = -15*p. Calculate the greatest common factor of l and 40. 20 Suppose 6*w = -409 + 3571. Calculate the highest common factor of 31 and w. 31 Suppose -2*q - 3*g = 2*q - 985, -3*q + 755 = -g. Suppose 0 = 3*b + 3*j + 2*j - q, -4*b = -4*j - 312. What is the greatest common divisor of b and 10? 10 Suppose 0 = -4*h + 78 - 54. What is the highest common divisor of h and 12? 6 Let k = -993 + 1202. What is the greatest common divisor of 11 and k? 11 Let y = 3 - -1. Let h be (3 - y)/(1/(-2)). Suppose z - 75 = 5*x, -2*x = h - 4. What is the highest common divisor of 32 and z? 16 Suppose 0 = 3*i - 3 - 57. Suppose 0 = -z - z + 500. Suppose -u = 4*u - z. What is the greatest common factor of u and i? 10 Suppose 4*j + 4*l + 27 - 75 = 0, -2*l = -j + 3. Suppose 12*b = j*b + 96. Calculate the highest common divisor of b and 352. 32 Let w = -604 + 629. What is the greatest common divisor of 1525 and w? 25 Suppose 0 = -2*t + 251 + 21. Calculate the highest common factor of 17 and t. 17 Let u be -9 + -7*(-12)/42. Let j(k) = -k**3 - 8*k**2 - 12*k - 20. Let t be j(u). Calculate the greatest common divisor of t and 120. 15 Suppose 0 = -3*m + 122 + 292. Let o be (m/9)/(8/60). What is the hig
{ "pile_set_name": "DM Mathematics" }
4? True Suppose -5*t = 5*a - 15, 3*t + 5*a = 7 - 0. Is 17 a factor of (-1)/t - 483/(-28)? True Let u(a) = a**2 + 3*a - 12. Let w be u(-6). Suppose v - w*v + 70 = 0. Does 14 divide v? True Suppose -3*h = -4*h - h. Suppose -4*d = 12, -4*a = -h*a - d - 199. Does 26 divide a? False Let t(u) = u**3 + 5*u**2 + 3*u + 3. Suppose 4*y = -3*j + j - 6, 3*y = j - 12. Let z be t(y). Is 6 a factor of (-3)/z + 73/4? True Let y = -11 - -11. Suppose m + 57 - 24 = y. Is 6 a factor of (-291)/m + 4/22? False Let r(d) = -163*d - 1. Let y be r(-2). Let w = y + -138. Is w a multiple of 11? True Suppose -15*p + 10*p = -20. Suppose 14 = p*i - 2*i. Does 7 divide i? True Let o(r) = -3*r - 2. Let f be o(-3). Suppose 164 = 8*p - f*p. Does 41 divide p? True Is (-928)/(-20) + 6/(-15) a multiple of 6? False Let z be (-27)/12 + 2 - (-375)/12. Suppose z*r = 28*r + 291. Does 12 divide r? False Suppose 3*g - 24 = -0*g. Let o = g + -5. Suppose -36 = -2*h + o*j, -h + 0*j = j - 13. Is h a multiple of 5? True Suppose -10*j + 27*j - 986 = 0. Is j a multiple of 29? True Suppose 5*p = f + 5, 3*f + 3*p - 2 - 1 = 0. Suppose f = -g - 54 + 200. Does 14 divide g? False Let a = 316 + -2. Does 33 divide a? False Let w(b) = 7 + 0*b**3 - 5*b**3 + 4*b**3 - 5*b**2 - 1. Does 12 divide w(-6)? False Suppose 0 = p + 9 - 0. Let v = p - -10. Does 22 divide (99/(-12))/(v/(-4))? False Let m = -13 - -18. Suppose 2*c - 245 - m = -4*u, -2*u = -4*c + 540. Is c a multiple of 20? False Let i(l) = l**3 + 7*l**2 - 18*l + 4. Let s be i(-9). Suppose 344 = 4*q + 3*o, -25 = 5*q + s*o - 456. Is 29 a factor of q? False Suppose -7*q = -3*q - 4*b - 12, -4*b = -2*q + 6. Suppose -2*o - q*c = -o - 80, -o + 4*c = -66. Is o a multiple of 17? False Suppose 11*m - 13*m = 2*x - 2144, 0 = -2*x - m + 2147. Does 21 divide x? False Let w = -41 - -39. Does 8 divide w/(-5) - (-2094)/15? False Let t(k) be the second derivative of -11*k**3/3 - 5*k**2 - 12*k. Is 8 a factor of t(-3)? True Suppose -3*a + 2064 = 3*c, c - 4*a - 288 = 390. Is c a multiple of 49? True Is 12 a factor of (-71155)/(-247) + (-1)/13? True Let n(h) = -46*h + 8. Is 9 a factor of n(-8)? False Let g be -42*1*(-2)/4. Let a = 46 - g. Is 11 a factor of a? False Let n be ((-4)/8)/((-1)/(-16)). Let c(a) = a + 18. Let h be c(n). Is 15 a factor of (-2107)/(-35) + (-2)/h? True Suppose 0 = -3*k - 6, -2*p - 2*k = -p - 625. Is 20 a factor of p? False Let d = -1453 + 2291. Is d a multiple of 15? False Suppose 0 = 3*y - 164 - 184. Let o = -25 + y. Let r = o - 45. Does 15 divide r? False Suppose -5*u = 6*u - 55. Suppose -u*h - 3*g - 279 = -701, -h + 98 = 4*g. Is 41 a factor of h? True Let q(z) = -z**3 - z**2 + 2*z - 4. Let i be q(-3). Suppose 2*d = -4*w + 32, w - i = -5*d + 4*d. Is 4 a factor of w? True Is ((720/70)/3)/(4/1554) a multiple of 12? True Let n be (-5 + 3)*(-4)/(-8). Let g(w) = -35*w**3 - w + 1. Is 13 a factor of g(n)? False Suppose 0*y = -2*y + 30. Let r be y/(-6)*(-8)/5. Suppose 70 = -r*w + 270. Is w a multiple of 13? False Let r(n) be the second derivative of -n**5/20 - 9*n**4/4 - 29*n**3/6 + 27*n**2/2 - 19*n. Does 21 divide r(-26)? True Does 11 divide -1 + 4 + -4 + 566? False Let n(i) = -2*i**3 - 3*i**2 + 9*i + 15. Is 11 a factor of n(-4)? False Let g(p) = -6*p - 9. Let s be g(-7). Suppose -6*l + s = -5*l. Does 14 divide l? False Suppose -35 = -4*u - 5*y, -4*u - 2*y = -14 - 12. Suppose -352 = -u*w + w. Is 17 a factor of w? False Let h(j) = -19*j - 223. Is 12 a factor of h(-13)? True Let l(k) = -k**2 - k + 4. Let j be l(0). Suppose -185 = -5*y - 5*q - 40, 4*q = -j. Suppose g = y + 24. Is 18 a factor of g? True Let s(b) = 15*b**2 - 2*b - 119. Does 108 divide s(-9)? False Let h(s) be the first derivative of 11*s**2/2 - 7*s - 15. Does 10 divide h(6)? False Let t = 376 - 22. Suppose -3*l + t = -2*l. Suppose 4*r + 4*x = 336, -x - x = -4*r + l. Does 25 divide r? False Let n = 125 - 86. Let r = 74 - n. Is 8 a factor of r? False Let o(a) be the second derivative of -a**4/12 - 2*a**3 - 2*a**2 - a. Let v be 4/(-12) - 20*1/3. Is o(v) a multiple of 22? False Let a(r) = -2*r - 16. Does 25 divide a(-21)? False Does 25 divide (77/1)/(25 - 23)*14? False Suppose 0 = 2*o - 5*a - 2121, -5355 = -5*o + 9*a - 7*a. Does 37 divide o? True Suppose 3*o - 3144 = -5*o. Is 3 a factor of o? True Suppose 15 = -3*g - 3*o, 5*g - 2*o = 3 - 0. Let r(y) = -45*y. Is r(g) a multiple of 9? True Let g(z) = -4*z**3 - 7*z**2 - 7*z + 8. Does 15 divide g(-4)? True Suppose -2 = -2*x + 4*o, 7*x - 4*o = 2*x + 17. Let d be (4/x)/(22/55). Suppose 1 = -w + 4, 0 = -4*c + d*w + 490. Is 26 a factor of c? False Let o(u) = u**3 - 9*u**2 + 8*u + 5. Let z be o(8). Suppose z*d + 75 = -10. Let c = d - -24. Is c a multiple of 7? True Let t(w) = -21*w + 220. Is t(10) a multiple of 3? False Suppose 2*n - 752 - 3315 = -3*z, 4*z + 4*n = 5424. Does 18 divide z? False Is 26 a factor of 1 + (-1 - -578 - 60/10)? True Let q(l) = -28*l + 14. Let c be q(-3). Let h = c + -82. Is 4 a factor of h? True Let m(z) = z**3 + 13*z**2 - 2*z + 8. Is 24 a factor of m(6)? False Is 26 a factor of ((-256)/10)/(1806/455 + -4)? True Suppose 0*s + 26 = 2*s - 3*g, 5*s - 52 = g. Let w = s + 50. Does 12 divide w? True Let f(n) = -n**2 - 6*n + 10. Let b(h) = -5*h - 2. Let q be b(1). Let j be f(q). Suppose -5*p = -j*t - 138, 0*p + p - 42 = -3*t. Is p a multiple of 15? True Suppose 0 = m + 3*m. Suppose 5*n - 30 = -m. Suppose -10 = -h - n. Is 2 a factor of h? True Suppose 0 = -3*r - 2*r. Suppose o + r = 2. Does 26 divide (1 - -76) + 2/o? True Let q be 4/14 - (-165)/35. Let z(l) = l - 2. Let p be z(q). Let i = p - -3. Is 3 a factor of i? True Let y = 1293 - 787. Does 23 divide y? True Let k = 1239 + -254. Does 69 divide k? False Let g = 318 - 218. Suppose -n = -136 + g. Does 8 divide n? False Let i(y) = 3*y**2 + 3*y - 177. Does 24 divide i(16)? False Let s(q) = 3*q + 2. Let m be s(-2). Let f be (-167 + 1)/(8/m). Suppose -3*t + t = 3*x - f, -43 = -t - x. Is t a multiple of 21? False Let s = 139 - -1520. Does 67 divide s? False Suppose -35*v + 21*v = -7980. Does 30 divide v? True Let n(c) be the third derivative of 29*c**4/24 - 4*c**3/3 - 4*c**2. Is 27 a factor of n(4)? True Let x = -6 + 14. Let h = x - 5. Suppose -h*w = 18 - 111. Is 9 a factor of w? False Let s(g) = g**2 + 3*g - 25. Let b be s(-8). Let a(w) = w**2 - w + 1. Is 25 a factor of a(b)? False Is 2/(-8) - (-5 - (-22581)/(-36)) a multiple of 50? False Let o be 1/((7/(-70))/((-2)/4)). Suppose -o*l - 724 = -2794. Is 69 a factor of l? True Let q be 2*(2 + (-4)/8). Suppose q*k = -k + 208. Does 39 divide k? False Suppose -7*d - 8 = -9*d. Suppose -5*f = -d*f - 2. Suppose 5*b - 4*b - 52 = f*x, 4*b - 5*x = 193. Is 27 a factor of b? False Let z(d) = 2411*d**3 - 2*d**2 + 4*d - 1. Is 18 a factor of z(1)? True Let o(q) = q**3 + 27*q**2 - 91*q - 12. Is 100 a factor of o(-24)? True Let f(q) = -q**3 + 5*q**2 + 3*q + 2. Suppose 2*g = -0*g + 8. Is 30 a factor of f(g)? True Let y be (2/(-5) - 4/(-10))/1. Suppose y = -4*x + t + 499, 152 = 4*x + t - 349. Is x a multiple of 31? False Let s(t) be the third derivative of 0 - 3*t**2 + 7/6*t**3 + 0*t - 1/120*t**6 + 3/20*t**5 - 1/3*t**4. Is s(8) a multiple of 7? True Let n(y) = -y**3 + 4*y**2 + 13*y - 3. Let w be n(6). Is (w - -306 - 2) + (-4 - -6) a multiple of 54? False Let t(x) = x**2 - 6*x - 8. Let k = -9 - -12. Suppose -13 = 4*q + 2*g - 43, 3*q + k*g = 15. Does 8 divide t(q)? True Suppose -265 - 1333 = -2*n. Does 44 divide n? False Let q(z) = -7*z**2 - 4*z - 1. Let n be q(3). Suppose 0 = -3*v - 5*h - 163, h + 15 = -2*h. Let b = v - n. Is 15 a factor of b? True Suppose 7 + 2 = 4*q + 3*g, -3*g - 15 = -4*q. Let a(z) be the second derivative of z**5/20 + z**4/12 - 5*z**3/6 + 3*z**2/2 - 2*z. Does 6 divide a(q)? True Let z be (88/(-10))/(24/(-60)). Suppose -5*l + 4*u = -z, 4*u + 9 = 3*l + 3*u. Suppose l*m - 53 + 11 = 0. Is 7 a factor of m? True Let t(h) = -9*h**2 + 10. Let x be t(3). Let q = x - -86. Is 5 a factor of q? True Let s = -426 + 455. Is s a multiple of 5? False Suppose -x - 2*q = 4*x - 12, -3*q + 11 = 4*x. Does 20 divide 107 - (6 - (x + 0))? False Let q(l) = -12*l - 2. Let n = -23 - -20. Does 12 divide q(n)? False Suppose -5*p - 3*d = -0*p - 880, -2*p - 3*d + 343 = 0. Is 13 a factor of p? False Let c be -1 + (12/3)/1. Let i be 2/(-6) - (-42)/36*62. Suppose 3*v + i =
{ "pile_set_name": "DM Mathematics" }
t for p. 1 Let h = 17 + 3. Let x be (-66)/(-5)*(-20)/(-6). Suppose 0*f - 5*k = -2*f - 8, -x = -4*f - 5*k. Solve h = -f*m + m for m. -4 Suppose 0 = -4*r + 15 + 1. Let h be 3 - 9/3 - 0/(-3). Let k be (5 - 0) + -1 + 2. Solve -r*l + k + 6 = h for l. 3 Let d(a) be the third derivative of -a**5/60 + a**4/24 + 5*a**3/3 - 6*a**2. Let l be d(0). Let m be (-10)/(-2)*(-8)/(-10). Solve 22 = m*w + l for w. 3 Let k = 31 - 24. Suppose k*f - 2*f = -2*v + 15, -f - 24 = -5*v. Let g(p) = -p + 2. Let q be g(0). Solve 0 = -d + f - q for d. -1 Suppose 3*g - 79 = -g + 5*d, 4*g = 2*d + 70. Let m = -12 + g. Let q = -1 + m. Solve 0 = q*t + 5 + 1 for t. -2 Let b(k) = -12*k - 148. Let f be b(-16). Solve 4*d - 40 = -f for d. -1 Let v = 7 - 1. Suppose -v = -7*m + 4*m. Suppose 3*n + d = 4, n + 6 = 2*n - m*d. Solve -3*z = -n*z for z. 0 Let o(z) = 22*z + 198. Let v be o(-9). Solve v = 2*f + 6*f + 24 for f. -3 Let m = -557 - -567. Let i be (10/(-4))/(4/(-8)). Solve -i*q - m = -0*q for q. -2 Suppose 0 = 53*a - 48*a - 25. Solve -8 + 18 = a*o for o. 2 Let c(v) = 8*v**2 + 11*v - 19. Let q be c(2). Solve 12*y + 25 + q = 0 for y. -5 Let g = 106 + -91. Solve -o = -6*o + g for o. 3 Let r = 3 + 28. Suppose -r = -3*t + v, 2*t + 3*v = 5*t - 27. Suppose -2*m + 5 + t = 0. Solve u = -u - m for u. -4 Suppose -p = 2, -q + p + 7 + 1 = 0. Suppose 0 = b - q*b. Suppose b = 3*a - 5*a. Solve x + a = 3 for x. 3 Suppose 5*a = 19*w - 16*w - 8, -4*a = 4*w. Solve 0 = -6*p + w + 5 for p. 1 Let d be (0/(-1))/((-16)/8). Solve -6*t = -0*t - d*t for t. 0 Let i be (0/(-14))/((-2)/2). Solve -5*u + 3 + 22 = i for u. 5 Suppose 8*z - 6*z = d - 38, -3*d + 82 = 2*z. Solve 27*q = d*q for q. 0 Let l(v) = -v - 3. Let r be l(14). Let t(w) = -w - 15. Let j be t(r). Solve -2*i = j*i for i. 0 Let y be 3/11 + (-722)/(-418). Solve -5*g = y*g + g for g. 0 Suppose -2*h = -8*v + 12*v, 3*v = 5*h. Solve v = 8*x - 9 - 7 for x. 2 Suppose 2*f + 4*h = -82 + 98, 5*h - 30 = -5*f. Let x(j) = j**3 + 2*j**2 - 2*j - 3. Let b be x(-2). Solve f = -d + b for d. -3 Let u be (-1)/(-3 + 4) + (-20)/(-1). Let d = 51 + -36. Let x = u - d. Solve 3*w - x = 5*w for w. -2 Let s = -739 + 785. Solve -5*n = s - 51 for n. 1 Let o = 711 - 695. Solve -3*h + 4 = o for h. -4 Let w(a) = a**2 + 7*a - 13. Let f = -33 + 24. Let v be w(f). Suppose -2*l + 5*l = 0. Solve l = v*o - 6 + 26 for o. -4 Let b(s) = 5*s**2 - 17*s + 12. Let w be b(3). Solve 14*m - 11*m = -w for m. -2 Let o = -735 + 758. Solve -15*k - o = -23 for k. 0 Let i = -1 + 1. Suppose 2*r - 37 + 11 = i. Let t(q) = 3*q**2 - 16*q - 8. Let v be t(6). Solve -5 + r = -v*f for f. -2 Suppose -7*w + 0*w = 0. Solve g - 2 + w = 0 for g. 2 Suppose -2*b = -4*t + 96, 3*b - 4 = 2*b. Let a = t - 11. Let k = 5 + -1. Solve -a = -y + k*y for y. -5 Suppose 6*m - 9 - 3 = 0. Let w = 77 - 74. Solve -m*r = r + w for r. -1 Let j be (0 + 0)/(-3 - -2). Suppose j = -0*h - 2*h. Suppose h = -5*g + 9*g - 36. Solve 4*i = 7*i + g for i. -3 Let j be (-84)/(-168)*0/(-1). Solve s + 5 - 1 = j for s. -4 Let r(z) = -z**2 - 7*z - 4. Let x be r(-6). Suppose 0 = 4*g - g - 15. Suppose -5*s + 31 = j, -5*s + 3*j + 44 = -3. Solve x = -g*n + s for n. 1 Suppose -4*c + 0*c - 8 = 0. Let m be 2 - (c + -1 + 2). Suppose -a + 4*n = 6, -24 = -3*a + a - n. Solve 0 = m*k - 5*k - a for k. -5 Let o be 48/(-18)*(-6)/4. Let l be (2/o)/(5/10). Solve -3*x - 14 = l for x. -5 Let j(m) = m**2 - 13*m - 10. Let t be j(14). Let z be (-4)/22 - 26/(-22). Let w = z - 1. Solve t = -4*u - w for u. -1 Let h be (-2)/(-7) + 552/(-21). Let p = h + 30. Solve -2*s + p = -3*s for s. -4 Let t(b) be the second derivative of b**3/3 - 3*b**2 + b. Let c be t(4). Let z be (-5080)/1905 + 3*(-14)/(-9). Solve z*m - 4 = -c for m. 1 Let w = -5 + 1. Let p = w - -4. Suppose p*a = -3*a. Solve a = n - 3 - 0 for n. 3 Let r be 1 + 9/(-3) + 6. Suppose 19 = r*y - 21. Let w(p) = p - 1. Let g be w(y). Solve -o - 2*o = g for o. -3 Let t = -2 + 4. Suppose -l + 5*n + 21 = 10*n, 2*n = 5*l - 51. Solve -t*p + l = 1 for p. 5 Suppose 21*j - 40 = j. Solve x - j = -0*x for x. 2 Let d = -397 + 412. Solve -5*k = -d + 35 for k. -4 Let k = -10 - -13. Suppose -4 = b + 3*g, -2*g + k*g = -b. Let o be (2/(-6))/(b/(-18)). Solve o*x + 10 = -2*x for x. -2 Suppose 26*q = 25*q. Solve -2*g - 2*g + 4 = q for g. 1 Let r(h) = -h**3 + 8*h**2 - 6*h - 7. Let o be (3 - 4)*-3 + 4. Let u be r(o). Solve 0*q - 4*q - 20 = u for q. -5 Suppose 0 = 7*n - 185 + 535. Let o = -45 - n. Solve 8 = -o*q + 7*q for q. 4 Suppose 2*c - 3 = 17. Solve c*j = 7*j for j. 0 Let c(q) = -q + 10. Let w be c(5). Suppose 40 = 3*s - w*s. Let z be -1*(s/4 + 2). Solve b + z*b = -4 for b. -1 Suppose -3*h = -4*h + 6. Let w be 4/(-12) + 20/h. Suppose 0*n - w*n = 0. Solve n = 4*f - 33 + 13 for f. 5 Let w(g) = 89*g**2 - 2*g**3 - 7*g - 54*g**2 - 11*g + 21. Let a be w(17). Solve c = 5*c - a for c. 1 Let f be (1 + 0 - 1) + 2. Suppose 5*l = -4*d + 27, 0 = -f*l + d - 6*d + 21. Suppose -5*q + l*p + 20 + 11 = 0, 52 = 5*q + 4*p. Solve b + 3*b = -q for b. -2 Suppose 0 = -19*j + 1170 + 464. Solve j = -11*v + 31 for v. -5 Let d = -5 - -20. Let c be 10*6/d*1. Solve c*n - 2*n = 0 for n. 0 Let n(k) = 2*k**2 - 31*k + 19. Let c be n(15). Suppose -14 = -a + 4*l, c*l - l = -5*a + 1. Solve -a*o + 1 = -3*o for o. -1 Suppose 0 = -7*g + 42 + 70. Solve -2*a = -6*a - g for a. -4 Let r be 1 - (-27)/6*32/72. Solve 3*a = 4*a - r*a for a. 0 Let x = -17 + 20. Suppose -x*c = -4*y + 10, -10*c + 8 = -6*c. Solve -y + 0 = 4*t for t. -1 Suppose 24*a = 25*a - 4. Solve 12 = -4*n - a for n. -4 Let j be (2 + -1)*(-1 + -2). Let s be -1*4/(-2)*(-30)/(-12). Let q = s - j. Solve 5*w - 3 = -q for w. -1 Suppose -47*q - 60*q + 321 = 0. Solve -9 = -q*i - 15 for i. -2 Let a = -25 - -31. Let c = 15 - a. Solve 4*z + c = -3 for z. -3 Suppose 0 = 4*z + 140 - 20. Let h = z - -51. Suppose 3 = 5*k - 2. Solve -4*b = -h + k for b. 5 Suppose -9*r + 3 = -87. Solve -2 = 4*h + r for h. -3 Let q(b) = -13*b - 1. Let d be q(-1). Let r = 16 - d. Solve r + 4 = -4*a for a. -2 Let b = 75 + -67. Suppose 11 = b*l + 3. Solve l = t - 0 for t. 1 Suppose -4*y + 28 = -4*r, -4*r + 4 = -5*y + 38. Suppose -3*g = -y*g. Let a be g/(4/(-1) - -5). Solve a*w + 2 = w for w. 2 Let h be (4 - 11)*-1 - 1/1. Suppose l = -2*l + 9. Solve -h = -l*j - 0 for j. 2 Let z = -13 - -12. Let x be 5/10 - z/2. Suppose x + 3 = y. Solve y*b + 9 - 1 = 0 for b. -2 Let k(v) = v + 6. Let i be k(-4). Suppose -o + 2*n = -0*n + 6, i*o - n = 3. Solve 2*c = 4*c - o for c. 2 Suppose 3*c + 3 = 0, 84*u - 79*u - 2*c - 12 = 0. Let k(g) = g**2 + 6*g + 2. Let i be k(-6). Let h be (0*u/(-10))/i. Solve h = 6*a - 2*a + 8 for a. -2 Suppose 5 = 5*b - 20. Suppose -o - 3 + b = 0. Solve p + 5 = o*p for p. 5 Let i be -2 - 44/(-8)*6. Suppose -i = -2*q - 9. Suppose 2*h - 1 - 9 = 0. Solve q = h*u - 4 for u. 3 Let m = -900 + 905. Solve m*b - 3*b - 6 = 0 for b. 3 Let v(m) = -2 - m + 8 + 9. Let j(a) = 3*a + 4. Let g be j(3). Let r be v(g). Solve -6*z = -r*z - 4 for z. 1 Let d be (-15)/12 - 42/(-8). Suppose -5*q + 32 = 3*y, d*q + y = -q + 24. Solve -q*t + 9*t = -25 for t. -5 Let p(q) = 2*q - 15. Let n be p(10). Suppose -5*x + n*h = -1 - 4, -7 = -2*x + h. Suppose -x*v = -11*v + 15. Solve 3 + 0 = -v*k for k. -1 Let v(f) = -11*f + 8. Let l be v(3). Let q = l + 34. Solve -s - 2*s = -q for s. 3 Suppose 2*h = 2*r - 32, 0 = 2*r + 10*h - 8*h - 20. Solve r*q - 4*q - 36 = 0 for q. 4 Suppose 14 = 4*j + 2*s, -3*j - 3*s = -27 + 18. Solve y + y - j = 0 for y. 2 Suppose -8 = -62*z + 58*z. Solve -z*u + 363 - 365 = 0 for u. -1 Suppose 10 = 5*b, 4*v - 52 = -0*v + 4*b. Let n = v - 11. Solve -n*k = -2*k + 10 for k. -5 Let o be (6/(-5))/((-1)/(-10)). Suppose 4*l - 5*d + 45 = 0, 4*d - 54 = -3*l + 8*l. Let c = l - o. Solve c*a = 4*a - 8 for a. 4 Let r(f) = -98*f + 493. Let b be r(5). Solve 0 = 92*g - 91*g - b for g. 3 Let d = 6 - 1. Let v(b) = 6*b**3 - b**2 + 1. Let p be v(1). Solve p*j - 4 = d*j for j. 4 Let o(s) = -5*s - 24. Suppose 30 = -5*j + 5. Let q be o(j). Solve -3 = -d + q for d. 4 Suppose -4*l = 5*c + 22 - 1, -l = -5*c - 26. Let h be (10 + -11)*l*-1. Let g = 12 + h. Solve 3*d - g + 1 = 0 for d. 4 Let a be ((-24)/15)/(3/(-15)). Let m = -8 + a. Suppose m*r + r - 1 = 0. Solve 0 = 4*z - 3*z + r for z. -1 Let q = 23 + -35. Let b be (-5)/(-20) + (-21)/q. Solve b*t - 6*t = 16 for t. -4 Let z = 3 - 1. Suppose 0*c + 22
{ "pile_set_name": "DM Mathematics" }
gy when four letters picked without replacement from ggckkgigygckkkky. 1/2184 Three letters picked without replacement from {t: 3, n: 3, y: 6, k: 4, f: 1, x: 1}. What is prob of sequence ynf? 1/272 What is prob of sequence ss when two letters picked without replacement from sssspsssssvsvs? 55/91 Three letters picked without replacement from {q: 6, a: 1, f: 1, d: 1}. What is prob of sequence qqd? 5/84 Four letters picked without replacement from xxqxxxqqxxqxxqqxxxq. What is prob of sequence qxxx? 385/3876 Two letters picked without replacement from {a: 6, c: 5, d: 4, g: 1, h: 3, b: 1}. Give prob of sequence db. 1/95 What is prob of sequence do when two letters picked without replacement from {k: 2, d: 3, o: 7, w: 3}? 1/10 Three letters picked without replacement from {t: 9, w: 4, y: 3}. Give prob of sequence tyw. 9/280 Calculate prob of sequence dq when two letters picked without replacement from {d: 1, q: 6, r: 2, e: 3, g: 5}. 3/136 Four letters picked without replacement from hhhkkhhhhkhkhhhkhh. Give prob of sequence hkhh. 143/1224 Three letters picked without replacement from razaarzrrrrranacrr. What is prob of sequence crz? 1/272 Calculate prob of sequence pn when two letters picked without replacement from pppdmndnsmpk. 2/33 What is prob of sequence ulk when three letters picked without replacement from {k: 9, u: 1, l: 4}? 3/182 Three letters picked without replacement from {s: 1, o: 1, b: 1, e: 2}. What is prob of sequence osb? 1/60 Two letters picked without replacement from {d: 1, x: 7, y: 1}. Give prob of sequence xd. 7/72 Four letters picked without replacement from {z: 5, m: 1, u: 2, d: 8}. What is prob of sequence dzdz? 1/39 Three letters picked without replacement from {i: 6, q: 2, o: 1, g: 4}. What is prob of sequence igq? 4/143 Three letters picked without replacement from {f: 12, p: 3}. Give prob of sequence ppp. 1/455 Four letters picked without replacement from rlryrrgpprpjg. What is prob of sequence rjrr? 1/286 Two letters picked without replacement from aaatggatzgggagaaag. What is prob of sequence ga? 28/153 What is prob of sequence ogu when three letters picked without replacement from bbxgohobbguub? 2/429 Four letters picked without replacement from zrwtrzwzrzzrrtzwwr. Give prob of sequence trrz. 1/204 Calculate prob of sequence ke when two letters picked without replacement from zkzewzizkwikeziw. 1/40 Four letters picked without replacement from {o: 4, s: 1, z: 3, l: 3}. What is prob of sequence zlos? 1/220 Two letters picked without replacement from ubifvxvix. What is prob of sequence ui? 1/36 Four letters picked without replacement from emdmdderexergmg. Give prob of sequence ddmx. 1/1820 What is prob of sequence oqdq when four letters picked without replacement from qqqqdoqoqqoqoq? 12/1001 What is prob of sequence nvm when three letters picked without replacement from {m: 4, n: 5, v: 3, i: 1, l: 1}? 5/182 What is prob of sequence la when two letters picked without replacement from {l: 8, j: 4, a: 5}? 5/34 Two letters picked without replacement from zdzpdddddpppdpdddddd. What is prob of sequence dz? 13/190 Calculate prob of sequence hhv when three letters picked without replacement from vhhvvvhv. 5/56 Three letters picked without replacement from rorrxrborlkkrrxrrrr. What is prob of sequence rlk? 11/2907 Two letters picked without replacement from sphymyn. Give prob of sequence ys. 1/21 Calculate prob of sequence ez when two letters picked without replacement from zeekhekzexez. 5/44 Four letters picked without replacement from {f: 5, l: 10, u: 4}. Give prob of sequence lufl. 25/1292 What is prob of sequence aa when two letters picked without replacement from vvvvaavava? 2/15 Four letters picked without replacement from nnxxxxvnnvx. What is prob of sequence xxxn? 1/33 Two letters picked without replacement from {b: 5, i: 4, a: 1, x: 3, s: 1}. Give prob of sequence ia. 2/91 Two letters picked without replacement from {t: 5, u: 6, g: 2}. What is prob of sequence tt? 5/39 Calculate prob of sequence cs when two letters picked without replacement from {t: 4, c: 3, s: 2, g: 4, y: 3}. 1/40 Three letters picked without replacement from dddgdgggdddgggdgddg. Give prob of sequence ggg. 28/323 Four letters picked without replacement from coccocoooc. Give prob of sequence ooco. 5/84 Calculate prob of sequence wk when two letters picked without replacement from {z: 4, f: 2, d: 3, w: 4, k: 1}. 2/91 What is prob of sequence cz when two letters picked without replacement from {d: 1, z: 1, c: 2, s: 1, b: 1, m: 1}? 1/21 Two letters picked without replacement from {w: 1, y: 6, u: 10}. What is prob of sequence uu? 45/136 Three letters picked without replacement from nrriiniinnririn. What is prob of sequence ini? 5/91 Four letters picked without replacement from fuunnuff. Give prob of sequence nnff. 1/140 What is prob of sequence dzu when three letters picked without replacement from xudmezx? 1/210 Calculate prob of sequence ii when two letters picked without replacement from {e: 5, i: 2, f: 7}. 1/91 Two letters picked without replacement from {h: 1, q: 2, s: 1, z: 2, g: 1}. What is prob of sequence zq? 2/21 What is prob of sequence uuu when three letters picked without replacement from {m: 1, k: 1, x: 2, u: 3}? 1/35 Four letters picked without replacement from {z: 2, h: 6, l: 9}. Give prob of sequence hzlz. 9/4760 Calculate prob of sequence wo when two letters picked without replacement from {w: 2, c: 2, o: 5}. 5/36 What is prob of sequence ppp when three letters picked without replacement from {s: 10, p: 2, f: 2}? 0 Calculate prob of sequence ds when two letters picked without replacement from sssfffffd. 1/24 Calculate prob of sequence bvv when three letters picked without replacement from {b: 1, v: 2}. 1/3 Four letters picked without replacement from {h: 2, l: 5}. What is prob of sequence llll? 1/7 Four letters picked without replacement from krxwxkxxxzkxxr. What is prob of sequence rzwr? 1/12012 Four letters picked without replacement from {q: 4, o: 3}. What is prob of sequence qooo? 1/35 What is prob of sequence kttt when four letters picked without replacement from ixkttxkxxttkxktkx? 5/952 Calculate prob of sequence uxh when three letters picked without replacement from {x: 1, u: 2, i: 1, e: 2, h: 1}. 1/105 Four letters picked without replacement from {h: 3, x: 4, t: 1}. What is prob of sequence xhht? 1/70 Two letters picked without replacement from lhlllllhl. Give prob of sequence hh. 1/36 Three letters picked without replacement from {h: 1, f: 1, z: 1, o: 2, u: 2, y: 1}. Give prob of sequence yzf. 1/336 Two letters picked without replacement from {y: 6, p: 6}. What is prob of sequence yy? 5/22 Two letters picked without replacement from vcwwcqcccwqq. Give prob of sequence wq. 3/44 What is prob of sequence ck when two letters picked without replacement from {a: 1, r: 1, i: 2, b: 2, k: 2, c: 1}? 1/36 Calculate prob of sequence llz when three letters picked without replacement from lzzzlzzlzzzlzllzzz. 5/68 Two letters picked without replacement from lovovovvvyovvvyuov. What is prob of sequence ou? 5/306 Three letters picked without replacement from cycsststtfyccsssctt. What is prob of sequence fst? 5/969 Two letters picked without replacement from {z: 1, g: 6, r: 4}. Give prob of sequence gg. 3/11 Two letters picked without replacement from {k: 1, h: 13, c: 2, i: 1}. What is prob of sequence ik? 1/272 Three letters picked without replacement from {l: 1, t: 1, r: 1, m: 2}. Give prob of sequence rmt. 1/30 What is prob of sequence qot when three letters picked without replacement from {q: 1, u: 1, o: 1, t: 2}? 1/30 Two letters picked without replacement from ggbgbggbbbgggggggg. Give prob of sequence gb. 65/306 What is prob of sequence yulu when four letters picked without replacement from ocnlnuynynyuucy? 1/1365 Calculate prob of sequence hpep when four letters picked without replacement from {p: 1, d: 1, h: 4, l: 2, e: 2, f: 2}. 0 What is prob of sequence jd when two letters picked without replacement from {a: 1, w: 1, o: 2, d: 1, j: 5}? 1/18 Four letters picked without replacement from zczczczzzccz. Give prob of sequence czzz. 35/396 What is prob of sequence xxn when three letters picked without replacement from {t: 1, n: 2, k: 8, x:
{ "pile_set_name": "DM Mathematics" }
/1785 + -1/357. Let t = 0.04 - -0.96. Put 0, t, z, -4 in descending order. t, z, 0, -4 Suppose 60*c - 86*c = -26. Suppose 12 = 2*o - 4*o. Sort c, -5, 0, o in descending order. c, 0, -5, o Suppose -6*u + 7*u = 21. Let f be (-58)/(-6) + (-14)/u. Let h be (-1)/(f/(-6))*-3. Put 3, -5, h in descending order. 3, h, -5 Let j = 18 + -15. Suppose 4*n - 4 = j*n. Put 5, n, -1 in descending order. 5, n, -1 Let p = -144.9 - -145. Suppose -3*m = -3*v + 24, -5*v - 2*m + 56 = 9. Let b = 26/3 - v. Put 0.5, b, p in descending order. 0.5, p, b Let o = -1167.07 - -1167. Put 0.3, o, 0, 0.05 in decreasing order. 0.3, 0.05, 0, o Let w = 3 + -2.9. Let j = -1.6 - 0.8. Let s = j - -2.4. Sort -5, s, w. -5, s, w Let b = -31 + 36. Let d be -2 + (-2 - 3)/b. Sort d, -6, -2 in increasing order. -6, d, -2 Let x = -393 + 390. Put 2, x, 4, -2 in ascending order. x, -2, 2, 4 Let t = -856 - -841. Put 0.3, t, 0.4 in increasing order. t, 0.3, 0.4 Suppose -2*o + 0*o = 2*z - 60, 4*z - 123 = -5*o. Let s = -31 + z. Sort -2, s, 0 in descending order. 0, -2, s Suppose -16*v = -51 + 195. Let p(d) = 3*d**2 - d + 1. Let a be p(1). Let i = a - 3. Put v, i, 4 in descending order. 4, i, v Let o be (1/(-3))/(2/(-18)). Let z(a) = a - 4. Let n be z(o). Let h be 0*(-3)/18*3. Sort n, h, 2. n, h, 2 Suppose -8*z - 57 - 7 = 0. Put -7, z, 5 in descending order. 5, -7, z Let i = 361 + -358. Sort -10, i, 2 in descending order. i, 2, -10 Let v = 0.0748 - 0.5748. Sort v, -0.3, 4, -0.06 in decreasing order. 4, -0.06, -0.3, v Let d = -71/25 - -1347/175. Let w = -143/28 + d. Let g = -8 + 4. Sort g, w, -2 in increasing order. g, -2, w Suppose -7*z = -3*z - 16. Let p be (-1 + 16/20)/(z/(-20)). Let o be (-1 - -1)/(2 - 1). Sort 3, p, o in descending order. 3, p, o Let c be 4/(-14) - 115/(-35). Suppose -c*w + 2 - 3 = 5*y, 8 = -3*w + 2*y. Sort w, 3, 18. w, 3, 18 Suppose v + 2 + 6 = 0. Let l = 7 + v. Let a = -7 + 10. Sort 4, a, l in decreasing order. 4, a, l Let r(u) = -u**2 - 46*u - 47. Let t be r(-45). Let x be 6/12 - 10/(-4). Suppose 1 - x = -2*n. Sort -4, n, t in descending order. n, t, -4 Suppose 4*r = 2*r + 22. Suppose 0 = 3*v - r - 1. Sort v, 0, -7 in decreasing order. v, 0, -7 Let c be ((-4)/(-16))/((-3)/(-24)). Let w be c/7 - (-1)/(-28). Sort 0, w, 4 in increasing order. 0, w, 4 Let r = -15 - -11. Let i be -1*14/((-1344)/16). Put r, i, 1/3 in increasing order. r, i, 1/3 Let w be -1 - (-13)/12 - (-435)/1260. Sort w, 6.7, 2. w, 2, 6.7 Let k be 1/4 - 207/12. Sort -5, 2, k in increasing order. k, -5, 2 Let c = -2.19 - 1.81. Let x = -0.4 - -2.4. Put x, c, 1 in ascending order. c, 1, x Suppose -155*t + 157*t - 55 = -3*n, -5*n + 3*t + 60 = 0. Sort -5, n, 54. -5, n, 54 Suppose -3*u + 3*a = 6 + 9, -u - a = 1. Let s(o) = -o**3 - 2*o**2 + o - 2. Let m be s(u). Let b be m - 3 - (-10)/(-14). Sort b, 4, -3 in decreasing order. 4, b, -3 Let w = 146 - 153. Let m = -0.04 - -3.04. Let r = w + m. Put -0.5, r, 1/2 in decreasing order. 1/2, -0.5, r Let x(v) = v**2 - 10*v + 3. Let y(z) = -z**2 + 9*z - 4. Let q(l) = 3*x(l) + 4*y(l). Let o be q(5). Let u be (-2)/4 - 2/(-4). Sort 1, u, o in increasing order. o, u, 1 Let s be 2/(-7) - 111/(-21). Suppose 28 = 4*y + 3*n + n, 8 = 2*y + 5*n. Suppose -s*j + 10 = -2*z, 4*j - 2*z - y = 1. Sort 1, -5, j. -5, j, 1 Let s(c) = c**3 + 6*c**2 - 6*c + 11. Let p be s(-7). Let o = 5 - 3. Sort -3, o, -5, p. -5, -3, o, p Suppose -2*d + 0*d - 12 = 0. Let s be (-3)/d + (-3)/(-2). Let q be s/((-16)/(-36)*-6). Sort -0.5, -4, q in decreasing order. -0.5, q, -4 Let n = 0 - -0.1. Let g = -0.064 + 26.064. Let j = -26 + g. Sort n, 1, j in decreasing order. 1, n, j Let c = -52 - -35. Let t = 24 + c. Let y = t + -8. Put 0, y, 5 in descending order. 5, 0, y Suppose -5*u = -3*u - 10. Suppose 0 = -2*h + s - 6, -h - s - 17 = -u*s. Let f be h*(2 - 1) + 3. Sort 0.1, 0.05, f in increasing order. 0.05, 0.1, f Let l be (-2)/2 - -2*60/104. Let p = -3.07 - -0.07. Put p, 2/5, l in decreasing order. 2/5, l, p Let b(h) = 37*h + 2. Let n be b(1). Let l = -38 + n. Let x(m) = -m**3 - m**2 + m. Let u be x(l). Put 3, u, 4 in ascending order. u, 3, 4 Let o = 1.225 - 1.625. Sort -5, -8, o. -8, -5, o Let l = -28 + 30. Suppose 5*y - 14 = -2*v - 0*v, 3*y - 2 = l*v. Put y, -1, 1 in increasing order. -1, 1, y Let x(v) be the first derivative of 3*v**2/2 - 10*v - 1. Let j be x(4). Let k = j + 3. Sort 0, k, 6 in decreasing order. 6, k, 0 Suppose 0 = i + j - 6, j - 6 = -2. Suppose -i*y = y + 21. Let g = y + 5. Put 2, -5, g in ascending order. -5, g, 2 Let m(n) = -5 + 4 - 2 + 2 + 10*n - 2*n**2. Let x be m(5). Sort 35, x, -2 in descending order. 35, x, -2 Let o be 24/2 - 3 - 5. Put 2, -2, -32, o in increasing order. -32, -2, 2, o Suppose m + 12 = -2*m, -2*m + 8 = 4*o. Suppose 0 = w - o*w. Suppose w = 2*l + 7 - 1. Sort l, -5, 3/5 in descending order. 3/5, l, -5 Let a = 60 - 58. Put -4, -2, a, -35 in decreasing order. a, -2, -4, -35 Let j be (0 + 2)/(114/(-14) + 8). Sort 0, -4, j. j, -4, 0 Let s = -0.1 - 4.9. Let z = 6.644 - -0.356. Put z, -10, s in increasing order. -10, s, z Let l(n) = n**2 + 32*n + 78. Let c be l(-28). Put 1, -3, 0, c in ascending order. c, -3, 0, 1 Let a be (-3)/(-6)*(-1 - -9). Let t(k) = k**2 + 5*k - 108. Let c be t(-13). Put a, -34, c in descending order. a, c, -34 Let m = 239 + -239. Sort 6, 3, m. m, 3, 6 Suppose 25 + 0 = -10*r + 45. Let d be 2/(3/((-27)/6)). Let s = 0.1 - 2.1. Sort s, r, d in decreasing order. r, s, d Suppose 4*s + s - 45 = -5*o, -2*o + 30 = 5*s. Suppose -12 = -s*v + 8*v. Sort 1, -5, v in decreasing order. 1, v, -5 Let d = -794 - -792. Sort -3, -3/5, 13, d. -3, d, -3/5, 13 Let x = -81 - -86. Put x, -3, -4, -2 in increasing order. -4, -3, -2, x Let s = -2.8 + 3. Let q = -0.3 + s. Let p = -0.577 + 0.677. Put q, 4, p in decreasing order. 4, p, q Let c = -644 - -641. Put c, 1.49, 3/2, -4 in descending order. 3/2, 1.49, c, -4 Let c = 0 + 3. Let g = -952 + 6644/7. Let j = g - -166/63. Sort c, j, -2/7. -2/7, j, c Let p = 2623 + -2599. Sort p, -4, 2, 1 in decreasing order. p, 2, 1, -4 Let m = -1.73 - -1.63. Put m, -0.5, -3/5, -2 in decreasing order. m, -0.5, -3/5, -2 Suppose -6*s + 2*s + 3*y = 19, 0 = 5*s - 5*y + 30. Put 23, s, -2 in increasing order. -2, s, 23 Let t = -546 - -551. Sort -1, -5, 3, t. -5, -1, 3, t Suppose -2*m - 2*t - 16 = 4, -2*m - 3*t = 23. Let s(u) = 2*u + 11. Let o be s(m). Let w be 2 + -3 - (-1 + 0). Sort -4, o, w in decreasing order. w, o, -4 Suppose -7*w + 11*w + 2*y - 14 = 0, -w + 14 = -3*y. Sort w, 1, 22, 3. 1, 3, w, 22 Let q be (-3 - 1 - 0) + 7. Suppose -2*b = -q*b - 2. Let y = 3 - 0. Put 0, y, b in descending order. y, 0, b Suppose -2*g + 4 = -12. Suppose 3*u = g*u + 25. Let l(c) = 3*c**2. Let y be l(1). Sort u, y, -1 in descending order. y, -1, u Suppose 2*o - 3*t - 15 = 0, -12 = 4*t + 8. Let k = 6 - o. Let g = k - 5. Sort 3, -4, g in increasing order. -4, g, 3 Let t(o) = o + 1. Let h be t(-1). Let n = -45093 - -45088. Sort -4, h, n in increasing order. n, -4, h Suppose 5*m + 6*m = 88. Sort -2, m, 1, 2. -2, 1, 2, m Let o be -28 + (-16)/(-4) + -6. Let x = o + 30. Sort 3, -5, x. -5, x, 3 Suppose -7*x + 10*x = 0. Let l be -14*(-3)/(6 - x). Suppose -3*j = l + 5. Sort 1, j, -1 in increasing order. j, -1, 1 Let y = 3 + 12. Suppose -5*l + 0*l - y = -5*z, 2*l = z - 8. Suppose o + 5 = -3*p + 5*o, 2*p + 3*o = 25. Put p, z, -5 in decreasing order. p, z, -5 Suppose 0 = -41*v + 51 + 359. Suppose 0 = -2*n - 10, -m + 3*m - 13 = n. Let t = 6 - m. Sort v, 5, t in ascending order. t, 5, v Let a(z) = 15*z - 210. Let r be a(13). Sort r, 1, 10 in decreasing order. 10, 1, r Let s = -2.9 + 3. Let h = -181 + 1271/7. Put 2/5, s, h, 0.3 in descending order. h, 2/5, 0.3, s Let g = 4.0187 - 0.0187. Let b = -517/60 - -35/4. Sort -0.5, g, b in decreasing order. g, b, -0.5 Let m = 0.094 - 56.094. Let h = m + 59. Put 4, -0.3, h in decreasing order. 4, h, -0.3 Let i = 24 + -24. Suppose 2 = -f + 2*f + 3*r, -5*r + 5 = i. Put 2, 1, f, 3 in increasing order. f, 1, 2, 3 Let i(f) = f**2 + 39*f - 39. Let s be i(1). Put -8/11, s, -2/5 in descending order. s, -2/5, -8/11 Let g = 214 - 217. Sort 0.6, g, 3/25. g, 3/25, 0.6 Let w be -3 - (-6)/(-12)*-78. Let v be (-8)/w + (-34)/(-72). Put 2/17, -2, v, 1 in increasing order. -2, 2/17, v, 1 Let s = 5.7 + -6.2. Let o = s + 0.9. Let g be ((-4)/3)/(4/(-6)). Put g, -4, o in incr
{ "pile_set_name": "DM Mathematics" }
6*v + v - s*v. Let i(u) = u**2. Calculate i(b(r)). 16*r**2 Let r(j) be the first derivative of -j**6/120 - 25*j**3/3 - 20. Let m(k) be the third derivative of r(k). Let b(h) = -8*h. Determine b(m(n)). 24*n**2 Let a(j) = -2*j. Let t(z) = -9*z**2 - 4*z - 140. Determine a(t(q)). 18*q**2 + 8*q + 280 Let j(k) = 77*k**2 + 93*k. Let t(b) = 6*b. Give j(t(n)). 2772*n**2 + 558*n Let r(v) = 273*v**2 - 297*v - 33. Let q(y) = -17*y**2 + 18*y + 2. Let k(p) = -33*q(p) - 2*r(p). Let h(i) = 31*i**2. Determine h(k(z)). 6975*z**4 Let z(t) = -17*t**2. Let c(d) = 0*d**2 - 14*d + 6*d + 8*d + 2*d**2. Calculate z(c(m)). -68*m**4 Let a(p) = -305*p**2. Let b(g) = g + 32. Calculate b(a(z)). -305*z**2 + 32 Let f(c) = 2*c**2. Suppose v - 1 = 1. Let n(g) = 5*g**v - 16 + 16. Calculate n(f(h)). 20*h**4 Let z(n) = 3*n. Let j(i) = i + 1461780. Determine j(z(d)). 3*d + 1461780 Let p(m) be the third derivative of -m**5/30 - m**2 + 13*m. Let o(z) = z**3 - 4*z**2 + 2. Let y be o(4). Let n(a) = 5*a + 4*a**y - 3*a - 2*a. What is p(n(f))? -32*f**4 Let c(d) = d**2. Let h(w) be the first derivative of 11*w**2 + w**2 - 3*w**2 + 20. Give h(c(r)). 18*r**2 Let d(a) = 2*a - 6. Let s(w) be the first derivative of -w**4/12 - 18*w + 20. Let h(u) be the first derivative of s(u). Give h(d(l)). -4*l**2 + 24*l - 36 Let c(k) be the first derivative of k**3/3 - 61. Let l(v) = -259*v. What is l(c(f))? -259*f**2 Let m(o) = 8*o - 5. Suppose 16 = -27*f + 31*f. Let c(r) = -7*r + 4. Let v(w) = f*m(w) + 5*c(w). Let z(q) = 3*q. Give z(v(i)). -9*i Let p(l) = -68*l. Let g(u) = -27*u - 204. Calculate p(g(t)). 1836*t + 13872 Let g(o) = -4*o**2. Let x(q) = 89687*q. Give x(g(r)). -358748*r**2 Let y(u) = 3 - 3 - u. Let f be 6/(-8) - 33/(-12). Let p(m) = -3*m**2 - 2*m**2 - 2 + f. Determine y(p(n)). 5*n**2 Let m(x) = -297*x**2 - 21*x. Let o(d) = -495*d**2 - 36*d. Let f(s) = -12*m(s) + 7*o(s). Let h(r) = -r. What is h(f(y))? -99*y**2 Let k(g) = -213*g**2 - 2*g. Let b(x) = 4*x. Determine b(k(w)). -852*w**2 - 8*w Let b(g) = 4*g. Let w(s) = 310337*s**2. Give w(b(d)). 4965392*d**2 Let y(k) = -2*k**2 + 4. Let z(l) = 1. Let p(b) = 3. Let j(i) = -p(i) + 2*z(i). Let u(n) = -4*j(n) - y(n). Let a(g) = g**2 - 9*g. Determine a(u(t)). 4*t**4 - 18*t**2 Let s(o) = -9 + 19 - 10 - o**2. Let d(p) = -139*p. Determine d(s(v)). 139*v**2 Let c(x) = 3*x**2. Let r(u) = -27502*u**2. Determine c(r(z)). 2269080012*z**4 Let p(h) = 19*h. Let r(o) = 26*o - 10*o - 6*o - 7*o. Let c(s) = 6*p(s) - 39*r(s). Let u(d) = 15*d. What is u(c(m))? -45*m Let k(w) = -w**2 + 14664*w. Let i(x) = x**2. Determine k(i(b)). -b**4 + 14664*b**2 Let i(z) = -25*z - 2. Suppose -8*l - 266 = -3*a - 3*l, 3*a = -l + 242. Let y(n) = -38*n**2 - 43*n**2 + a*n**2. Calculate i(y(d)). -25*d**2 - 2 Let l(z) = -257*z**2. Let y(h) = 5*h**2 - h. Give y(l(v)). 330245*v**4 + 257*v**2 Let o(h) = h. Let r(u) be the third derivative of -u**5/30 + 31*u**4/24 + 6*u**2 - 14*u. Calculate o(r(a)). -2*a**2 + 31*a Let b(o) be the first derivative of o**2/2 - 36. Let w(p) be the third derivative of p**5/20 + 9*p**2. Calculate w(b(l)). 3*l**2 Let w(v) = 163*v**2 + 165*v**2 - 321*v**2. Let t(i) = -12*i. What is w(t(g))? 1008*g**2 Let b(o) = o. Let m(n) = 1859873*n. Calculate m(b(c)). 1859873*c Let y(o) be the second derivative of -o**5/60 + 19*o**2/2 + 20*o. Let h(f) be the first derivative of y(f). Let p(n) = -3*n. Calculate p(h(c)). 3*c**2 Let s(r) = 162*r - 320*r + 160*r. Let u(o) = o. What is u(s(q))? 2*q Let w(l) = l. Let n(y) be the second derivative of 11*y - y**4 - y - 6*y + 7*y. Calculate w(n(v)). -12*v**2 Let a(b) = 138*b**2 - 269*b**2 + 133*b**2. Let h(j) = 45*j - 3. Calculate a(h(l)). 4050*l**2 - 540*l + 18 Suppose 14*a = -8 - 76. Let i(g) = 2. Let r(x) = x**2 - 1. Let v(t) = a*i(t) - 12*r(t). Let q(n) = 3*n. Calculate v(q(f)). -108*f**2 Let s(d) = 12*d**2 - 3*d + 3. Let n(w) = -4 - 60*w**2 + 4*w + 26*w**2 + 21*w**2. Let l(a) = -3*n(a) - 4*s(a). Let v(t) = -t. Calculate v(l(y)). 9*y**2 Let g(b) = 341*b**2 - 187*b. Let r(c) = 11*c**2 - 6*c. Let z(w) = -6*g(w) + 187*r(w). Let i(k) be the third derivative of k**5/12 - 152*k**2. Give i(z(a)). 605*a**4 Let k(h) = h + 1. Let a be k(1). Let u(t) = 8*t**a - 2*t**2 - t**2. Let s(n) be the second derivative of -n**3/6 + 13*n. Determine u(s(z)). 5*z**2 Let l(k) = -2*k - 4. Let g(b) = 18*b + 12*b - 17*b. What is g(l(d))? -26*d - 52 Let s(o) = -o - 1. Let x(z) = 2 + 9 - 16 + 0*z - 11*z. Let n(h) = -5*s(h) + x(h). Let d(a) be the first derivative of a**2 + 2. Give n(d(p)). -12*p Let k(o) = 4*o. Suppose 0 = -d - 3*z + 9, -5*d - z + 11 = -3*z. Let s(a) = -d*a - 12*a + 26*a - 13*a. What is s(k(p))? -8*p Let g(p) = -44*p**2 - 16*p. Let s(k) = 9*k**2 + 3*k. Let f(o) = -3*g(o) - 16*s(o). Let j(n) = -8*n**2. What is f(j(d))? -768*d**4 Let q(r) = -3*r. Let z(l) = -79*l**2 + 20*l + 12. Let n(b) = 17143*b**2 - 4345*b - 2607. Let s(g) = -4*n(g) - 869*z(g). Determine q(s(i)). -237*i**2 Let r(c) = 99*c**2 + 2*c - 58. Let k(q) = 17*q**2. Calculate r(k(d)). 28611*d**4 + 34*d**2 - 58 Let o(j) = 7*j**2. Let f = -64 + 54. Let s(c) = -7*c + 5. Let g(m) = -4*m + 3. Let b(w) = f*g(w) + 6*s(w). Determine o(b(h)). 28*h**2 Let u(a) = 9*a. Let d(x) = -37*x. Let r(k) = 65*k. Let o(j) = 7*d(j) + 4*r(j). Calculate o(u(v)). 9*v Let z(r) = -5*r + 94. Let d(y) = -120*y**2. What is z(d(g))? 600*g**2 + 94 Let m(q) = 116797*q. Let l(w) = 2*w**2. Calculate l(m(t)). 27283078418*t**2 Let t(l) = -6*l. Let v(c) be the second derivative of 0 + 0*c**2 + 20*c - 13/6*c**3. What is t(v(x))? 78*x Let i(q) = q + 1. Let l(w) = -w**2 - 2*w. Let a(o) = -i(o) - l(o). Let n(h) = 21*h**2 - 6*h + 6. Let y(x) = -6*a(x) - n(x). Let v(z) = -2*z**2. What is y(v(g))? -108*g**4 Let o(t) be the third derivative of -7*t**5/60 + 177*t**2. Let s(a) = -34*a**2. What is o(s(c))? -8092*c**4 Let l(d) be the third derivative of d**5/20 - d**3/3 - 23*d**2. Let r(f) = -2*f. Calculate l(r(g)). 12*g**2 - 2 Let a(c) be the third derivative of -c**5/60 - 191*c**2. Let x(b) = -2*b - 89. Determine a(x(k)). -4*k**2 - 356*k - 7921 Let d(g) = -2*g**2 + 5*g**2 - 2*g**2. Let x(i) = -20*i**2 - 22. Let l(b) = b**2 + 1. Let a(u) = 88*l(u) + 4*x(u). Determine d(a(r)). 64*r**4 Let z(n) = -10*n + 18. Let p(h) = -8*h + 15. Let m(a) = -6*p(a) + 5*z(a). Let k(s) be the third derivative of 5*s**4/24 + 2*s**2. What is m(k(t))? -10*t Let y(f) be the second derivative of -f**3/3 + 61*f + 3. Let u(o) = -4*o**2 - 6*o**2 + o**2. What is u(y(l))? -36*l**2 Let v(i) = i. Let s(a) = a**3 + 15*a**2 - 16*a + 11. Let d be s(-16). Let m(x) = -d*x + 31*x + 9*x. Determine v(m(k)). 29*k Let b(k) = 150*k**2 + 21*k - 21. Let g(s) = -15*s**2 - 2*s + 2. Let m(p) = 2*b(p) + 21*g(p). Let l(a) = -a - 7*a + 4*a**2 + 8*a. Determine l(m(x)). 900*x**4 Let q(k) = -k**2. Let o(x) be the third derivative of -9*x**4/8 + x**3/6 - 31*x**2. Determine o(q(r)). 27*r**2 + 1 Let c(t) = 7*t**2. Let i(w) = -23*w**2 + 2*w. Let a(p) = 92*p**2 - 9*p. Let s(q) = 2*a(q) + 9*i(q). What is s(c(l))? -1127*l**4 Let l(i) be the third derivative of 6 + 6*i**2 + 0*i - 11/8*i**4 - 1/3*i**3. Let g(u) = -2*u**2. Determine l(g(b)). 66*b**2 - 2 Let j(l) = l. Let y be 36/10 - 0 - (-16)/40. Let b(o) = y*o**2 - 81 + 81 + 6*o**2. What is j(b(z))? 10*z**2 Let t(p) = p - 1. Let a(x) = 70*x**2 - 5*x + 5. Let q(w) = a(w) + 5*t(w). Let s(o) = -o**2. Give q(s(n)). 70*n**4 Let y(b) = 81*b. Let g(p) be the third derivative of -p**5/30 - 12*p**2 - 2. What is y(g(i))? -162*i**2 Let t(l) = 6*l**2 - 3 + 3. Let q(o) = o**3 + 6*o**2 + 9*o + 13. Let j be q(-4). Let r(c) = 14*c - j*c + c**2 - 5*c. What is r(t(v))? 36*v**4 Let p(b) = -b**2. Let d(a) be the first derivative of -10 + 1/6*a**4 - 3/2*a**2 + 0*a + 0*a**3. Let o(c) be the second derivative of d(c). Determine o(p(u)). -4*u**2 Let j(k) = -8*k. Let u(g) = -2*g. Suppose 17*o + 9 = 16*o. Let n(l) = o*u(l) + 2*j(l). Let a(q) = -3*q. Calculate a(n(d)). -6*d Let w(g) = -242*g. Let c(p) = -19*p. Calculate c(w(k)). 4598*k Let w(i) = 2*i. Let v(u) = -1450378*u**2. Determine w(v(z)). -2900756*z**2 Let v(d) = 2*d**2 + 4*d - 8. Let g(z) = -6*z**2 - 11*z + 22. Let w(m) = -4*g(m) - 11*v(m). Let o(j) = -14*j. Calculate o(w(r)). -28*r**2 Let a(w) = -16*w. Let p(z) be the third derivative of -z**5/40 - 7*z**3/2 - 6*z**2. Let h(y) be the first derivative of p(y). Determi
{ "pile_set_name": "DM Mathematics" }
a, 0 Let f = 2/23 - 39/184. Let c = f + 13/8. Put -0.1, c, 2/7 in descending order. c, 2/7, -0.1 Suppose 0*b + 3*b - 9 = 0. Suppose j = -k + 6, -2*k = 4*j - 0*k - 14. Let o be (j/3)/(2/12). Sort o, b, 1 in descending order. b, o, 1 Let b = 1.3 + -0.7. Let w = 1.1 - b. Sort w, -1, 1. -1, w, 1 Let c = 6 + 9. Let k(r) = 2*r + 14. Let a be k(-5). Suppose -7*l = -a*l - c. Sort l, -1, -0.1 in increasing order. -1, -0.1, l Let s be ((-6)/8)/(10/(-8)). Let k(w) = w**2 + 6*w - 2. Suppose 0*u + 2*u + 14 = 0. Let j be k(u). Sort s, j, 2/9 in decreasing order. j, s, 2/9 Let u = 0.508 - 0.008. Put u, 5, -5/3 in descending order. 5, u, -5/3 Let j(g) = g - 1. Let x be j(4). Suppose x*t - 2 = 7. Sort 1, -1, t. -1, 1, t Let w = 2233 - 11053/5. Let y = w - 799/35. Let f = 0.1 - 0.1. Put y, -0.5, f in descending order. f, y, -0.5 Let l = -1 - 1. Let d = 21.5 + -18. Let m = d - 3. Sort l, m, 0 in ascending order. l, 0, m Let t(v) = v**3 - 3*v**2 - 3*v + 6. Let f be t(4). Suppose -u - f = -2*u. Suppose 4*b = -u - 2. Put 1, 3, b in descending order. 3, 1, b Let o = -12 + 17. Suppose -z - 9 = d - 0*z, -22 = 3*d + 2*z. Sort -5, o, d. -5, d, o Suppose 2*a = -s + 69, -4*s - 3*a = a - 292. Let c be 2/(-11) + 3/s. Put c, -1/5, 3/5 in descending order. 3/5, c, -1/5 Let o(d) = -d**2 - 7*d - 1. Let k be o(-7). Sort -5, k, 2. -5, k, 2 Suppose -9 = -5*x + 6. Suppose 0 = -2*d - 1 + x. Put 3, -5, d in decreasing order. 3, d, -5 Let z = -19 - -20. Let j be (0 - -2)*(0 + z). Put 0, 5, j in ascending order. 0, j, 5 Let s(o) = 3*o - 1. Let f be s(2). Let h = -3 + 0. Sort -1, h, f. h, -1, f Let b = 92 - 93.54. Let m = 0.06 - b. Let p = m + -2. Sort -1, 2, p. -1, p, 2 Let s = 18 + -13. Suppose 1 = -4*a + 5. Sort a, s, -2 in descending order. s, a, -2 Let f = 1507 + -1496.99. Let u = -10 + f. Let n = u - -0.09. Put n, 5, 0.5 in increasing order. n, 0.5, 5 Let l be ((-10)/(-2))/((-3)/6). Let w = l - -6. Let h = -5 - -7. Put h, w, -3 in decreasing order. h, -3, w Let r(q) = -q - 3. Let t be r(0). Let a = 6 - 11. Put t, a, -4 in increasing order. a, -4, t Let a be (-2)/4*8/(-28). Let r = -0.5 + 0.6. Sort -0.3, r, a. -0.3, r, a Let t = -7.9 + 9. Let z = -0.1 + t. Let s = -129/55 - -28/11. Sort s, z, 5 in decreasing order. 5, z, s Let m be (-1)/4 - 18/(-8). Suppose -c + 5*c + 24 = 0. Let y(h) = -h**2 - 4*h + 7. Let t be y(c). Sort t, 5, m. t, m, 5 Let g(t) = -6*t - 21. Let d be g(-4). Sort 5, -5, 1, d in increasing order. -5, 1, d, 5 Suppose -2*f + 5 = 3*f. Let o(v) = 5*v**3 - v**2 + 2*v - 2. Let k be o(1). Sort 0, k, f. 0, f, k Let y = 5 + -3. Suppose y*g = g + 5. Sort 0, 3, g. 0, 3, g Let f be 1*-3 - (8 + -24). Put 0, f, -4 in decreasing order. f, 0, -4 Let r be (-2)/12 - 1 - -1. Let g be (7/(-63))/(2/4). Sort 0.5, r, g in ascending order. g, r, 0.5 Let w = 0.06 - -2.94. Let g = -2.5 + w. Suppose o - 8 = -4*u, 2*u + 0*o - 4*o - 22 = 0. Sort -3, g, u in descending order. u, g, -3 Suppose 11 - 47 = -4*j. Let v = j + -13. Sort -5, v, -2. -5, v, -2 Let h = -19 - -30. Let m = -16 + h. Let b = m + 3. Sort 3/2, -0.3, b. b, -0.3, 3/2 Let u be (44/10)/((-5)/25). Suppose 4*f - 4*b = 12, -2*f + 0 + 11 = 3*b. Let z be (-126)/(-330) + f/u. Sort z, 0, 0.1 in ascending order. 0, 0.1, z Suppose 3 = t, 0*h + 5*h + t = -7. Sort -3, -5, h in increasing order. -5, -3, h Let y = -8 - -16. Let o be ((-4)/(-5))/(20/(-50)). Let p be (-3)/(-20) - o/y. Put -2/13, -5, p in decreasing order. p, -2/13, -5 Let g(z) = 2*z**3 - z**2 + z - 2. Let y be g(2). Suppose 3*b + b = -y. Let f(s) = s + 2. Let p be f(-3). Sort b, p, -2. b, -2, p Let h = -0.3 - -1.3. Let s = -905/7 - -129. Let r = -0.3 + 0.2. Sort h, r, s. s, r, h Let v be 8/(-2) - -2 - 2. Suppose 5*l - g = 27, 2*g - 7*g = -3*l + 25. Sort -5, l, v in ascending order. -5, v, l Let p(z) = z**3 - 3*z**2 + z - 1. Let r be p(2). Sort 2, -2, r. r, -2, 2 Suppose 0 = 2*y - 4*x + 2, y - 10*x + 9*x = 2. Let t = -3 + 4. Sort 3, y, t in decreasing order. y, 3, t Suppose 0 = -5*v + 24 + 1. Suppose 5*y = 2*d - 6*d + 16, 4 = 2*y + d. Suppose -5*h - 15 = -y. Sort h, v, 2. h, 2, v Let a = -15 + 22. Let n = -10 + a. Sort n, -4, 5 in descending order. 5, n, -4 Let a be (-4)/63 + 2/7. Sort 4, -2/9, a in decreasing order. 4, a, -2/9 Let u(x) = -2*x + 5. Let y be u(5). Suppose 2*t - k - 2*k + 12 = 0, 2*k - 8 = 4*t. Suppose 3*j + t = 6. Sort y, -1, j in descending order. j, -1, y Let d(l) = -l**2 + 6*l + 1. Let t be d(6). Let k be 12/15*45/54. Let u = t - k. Sort 4, -5, u. -5, u, 4 Let v = -6 - -12. Suppose -t = v - 3. Put 0.4, 0.2, t in decreasing order. 0.4, 0.2, t Let n = 0.7 + 0.3. Let p = 3 + n. Let s = -66 - -331/5. Sort -1/2, s, p in descending order. p, s, -1/2 Suppose -3*m + 35 = -5*o, 11 = -m - 0*o - 4*o. Let u = m + -6. Let b be ((-6)/4)/(18/24). Put u, -4, b in decreasing order. u, b, -4 Let v(n) = n**3 + n + 3. Suppose s = -0*s. Let j be v(s). Let i = 6 + -4. Put -2, j, i in ascending order. -2, i, j Suppose 6 = 3*a, j - 2*a = 2*a - 12. Suppose w - 14 = 5*p, -2*w + w - 5*p = 6. Let x be (-2)/(-1) - (w + -6). Put j, -2, x in increasing order. j, -2, x Let n = -0.09 - 0. Let f = -0.06 - n. Let a = -0.23 + f. Sort 5, a, -0.4 in increasing order. -0.4, a, 5 Suppose -2*k = k + 12. Let u be (-3)/(3 + (-15)/4). Put 5, u, k in descending order. 5, u, k Let y = 37 - 34. Sort y, 2, -2/3, 0 in descending order. y, 2, 0, -2/3 Let r be (-4)/(-30)*12/(-16). Sort -1/2, r, 2/15, -2/7 in increasing order. -1/2, -2/7, r, 2/15 Let d = -0.02 - -0.07. Let y = d + -2.05. Sort y, -1/6, 3 in descending order. 3, -1/6, y Let w = 0.16 - -0.14. Let o = w - 0.4. Let j = 1 - 4. Sort 0.3, j, o in decreasing order. 0.3, o, j Let j = -6 - -13. Sort j, 5, 0 in decreasing order. j, 5, 0 Let t(b) = 2*b - 5. Let z be t(3). Let m be (1 - 0) + 1 + 3. Sort z, m, -2 in increasing order. -2, z, m Let a = 2.56 - -0.44. Sort 0.5, 4/3, 1, a in descending order. a, 4/3, 1, 0.5 Let s = 6 - 7. Let j = s - -0.7. Sort 1, 0, j in increasing order. j, 0, 1 Suppose 2*a - 5*r = 15, 4*r = 2*a - 7*a + 21. Sort a, -2, -3 in increasing order. -3, -2, a Let k = -0.03 + 1.03. Put k, 1/5, 3/5 in descending order. k, 3/5, 1/5 Let x be (-1 - 2 - -2)*-1. Put -3, -1, x in increasing order. -3, -1, x Let s = -11 + 10. Sort -6, s, -0.2, -2 in decreasing order. -0.2, s, -2, -6 Suppose c + 5 = 6*c. Let f(j) = -6*j**2 + 22 - 22 + j**3. Let s be f(6). Sort c, s, -4 in increasing order. -4, s, c Let m = 0.7 + -0.2. Let n = -0.2 - -0.1. Let s = -1.9 + n. Sort m, 4, s in increasing order. s, m, 4 Let x(v) = 2*v - 6. Let h be x(-6). Let y be ((-2)/(-6))/((-3)/h). Sort y, 0.4, 5 in decreasing order. 5, y, 0.4 Let r be 2 - 1/(2/6). Let y = -7 - r. Let p = y - -2. Sort 5, 0, p in decreasing order. 5, 0, p Let c be (-3)/2 + (-21)/6. Let y(v) = -v - 1. Let u be y(3). Put u, c, 4 in decreasing order. 4, u, c Let u = -2 - -4.02. Let t = 0.2 + -0.18. Let r = u - t. Sort -3, r, -1. -3, -1, r Let r be (-10)/(-3)*12/10. Let s be 1/2 + (-29)/(-2). Suppose -a - 4*f = 4*a + s, 0 = -5*a - 3*f - 15. Sort r, 3, a. a, 3, r Suppose -u = 3*u + 4. Let a be 1/2*(-1 + -9). Let v be ((-12)/(-15))/(-2)*a. Sort v, u, 4 in ascending order. u, v, 4 Suppose 27*b = 23*b - 4. Suppose -t + 2*t = 2*q - 3, 3*q = 4*t + 7. Sort 0, q, b in ascending order. b, 0, q Let j = 13 - 8. Put 2, 2/5, j in decreasing order. j, 2, 2/5 Let r be -2*(-1)/(-2)*-4. Suppose 2*j + a + 6 = 0, 5*j - 3*j - 2 = -5*a. Suppose 4 + 10 = -4*q + 2*i, 4*q - i = -13. Sort r, q, j in descending order. r, q, j Suppose -2*l = c + 4 - 12, -l + 4 = 0. Let x(n) = n**3 + 8*n**2 + 9*n + 10. Suppose 2*b + 21 = -b. Let i be x(b). Sort c, i, 1 in increasing order. i, c, 1 Let c = 1.995 - -0.005. Put c, 0.2, -0.7 in ascending order. -0.7, 0.2, c Let d = -5 - -7. Suppose -d*b - 2 = -3*b + c, -14 = 5*b + c. Let y be 10/8*b*2. Sort 5, 0, y in decreasing order. 5, 0, y Let y = -7.2 - 7.8. Sort y, -0.3, 1/6 in increasing order. y, -0.3, 1/6 Let o(h) = h**2 + 4*h - 7. Let j be o(-5). Let k be j/10 + (-24)/5. Let p = -3.07 + 0.07. Sort 1/8, k, p in descending order. 1/8, p, k Suppose -4*s - l - 96 = 3*l, 25 = -5*l. Let z = -10 - s. Let c be (1 - 7)*(-6)/z. Sort -2, c, 2 in increasing order. -2, 2, c Suppose 0*d - 5*d - 30 = 5*f, f + 4*d = -18. Put f, 1, -3, 4 in increasing order. -3, f, 1, 4 Let c = 89.8 + -90. Put c, -3/8,
{ "pile_set_name": "DM Mathematics" }
of a tonne in kilograms? 30500 Convert 9609.309km to meters. 9609309 How many years are there in 54/5 of a decade? 108 What is 1/4 of a litre in millilitres? 250 What is 845.476 millilitres in litres? 0.845476 What is seven quarters of a litre in millilitres? 1750 How many centuries are there in 230862.48 months? 192.3854 What is one quarter of a meter in millimeters? 250 How many millilitres are there in 6.187394 litres? 6187.394 How many litres are there in 0.667216 millilitres? 0.000667216 How many months are there in eleven quarters of a decade? 330 Convert 95754.98 meters to kilometers. 95.75498 Convert 326.1931 litres to millilitres. 326193.1 What is 8603.34ug in kilograms? 0.00000860334 How many decades are there in 0.0344706 centuries? 0.344706 What is 89/2 of a kilometer in meters? 44500 How many meters are there in 3/50 of a kilometer? 60 What is thirty-seven fifths of a century in years? 740 What is 21/5 of a gram in milligrams? 4200 What is 50.73594 days in milliseconds? 4383585216 How many millilitres are there in 1/4 of a litre? 250 What is fifteen quarters of a microsecond in nanoseconds? 3750 What is 0.0528893 millennia in years? 52.8893 What is 4.698051kg in grams? 4698.051 How many litres are there in 49.01661 millilitres? 0.04901661 How many milliseconds are there in fifty-one quarters of a second? 12750 What is 6.665273 decades in years? 66.65273 How many months are there in 13/4 of a millennium? 39000 What is 31/2 of a kilometer in meters? 15500 How many nanograms are there in 3/40 of a milligram? 75000 What is 0.2189552 nanometers in meters? 0.0000000002189552 How many millilitres are there in 51/2 of a litre? 25500 How many kilograms are there in 13/4 of a tonne? 3250 How many nanograms are there in 55/2 of a microgram? 27500 What is twenty-nine halves of a minute in seconds? 870 What is 11/10 of a meter in millimeters? 1100 How many millilitres are there in 31.0098l? 31009.8 How many days are there in thirty sevenths of a week? 30 Convert 199621.5ng to milligrams. 0.1996215 What is 11/4 of a meter in millimeters? 2750 Convert 36324.56 hours to nanoseconds. 130768416000000000 What is 2.778259 years in months? 33.339108 How many millilitres are there in one fifth of a litre? 200 Convert 281.9634m to millimeters. 281963.4 How many minutes are there in 383.2273 days? 551847.312 What is 6/5 of a micrometer in nanometers? 1200 Convert 1.851047nm to millimeters. 0.000001851047 What is 598966.8 millilitres in litres? 598.9668 How many millennia are there in 19.31125 years? 0.01931125 How many milliseconds are there in 2.932128us? 0.002932128 What is 8984.486ml in litres? 8.984486 How many minutes are there in 4/15 of a hour? 16 How many years are there in 0.781375 millennia? 781.375 What is 222.7794ml in litres? 0.2227794 What is 13/4 of a kilogram in grams? 3250 What is 11/4 of a microgram in nanograms? 2750 How many millilitres are there in 34/5 of a litre? 6800 How many months are there in eleven quarters of a century? 3300 How many grams are there in 11/4 of a kilogram? 2750 What is 3/16 of a centimeter in micrometers? 1875 What is 8.71023 millilitres in litres? 0.00871023 How many millilitres are there in twenty-one quarters of a litre? 5250 What is 29/5 of a centimeter in micrometers? 58000 How many minutes are there in one tenth of a week? 1008 What is 37/2 of a decade in months? 2220 What is three tenths of a millimeter in micrometers? 300 How many millilitres are there in 11/2 of a litre? 5500 How many millilitres are there in 7/8 of a litre? 875 What is eleven halves of a millimeter in micrometers? 5500 Convert 689285.8 millennia to centuries. 6892858 What is 787.868ml in litres? 0.787868 What is 9/10 of a micrometer in nanometers? 900 How many millilitres are there in 6/25 of a litre? 240 What is fifty-one halves of a milligram in micrograms? 25500 Convert 108234.2 millimeters to meters. 108.2342 How many milligrams are there in one quarter of a gram? 250 What is 31/2 of a litre in millilitres? 15500 What is twenty-five quarters of a millennium in months? 75000 Convert 111103.7 millilitres to litres. 111.1037 How many litres are there in 9318.653 millilitres? 9.318653 Convert 8.883046kg to nanograms. 8883046000000 How many minutes are there in twenty-nine thirds of a hour? 580 How many years are there in 15/4 of a century? 375 How many nanograms are there in 94393.93 grams? 94393930000000 How many decades are there in 21.78443 millennia? 2178.443 What is 7/2 of a kilometer in meters? 3500 Convert 7.504739 grams to milligrams. 7504.739 Convert 22.91344 millilitres to litres. 0.02291344 How many years are there in 0.0156199 millennia? 15.6199 How many milliseconds are there in 0.4333143 hours? 1559931.48 What is seven halves of a litre in millilitres? 3500 What is 45/4 of a day in hours? 270 How many minutes are there in fifty-one halves of a day? 36720 What is 27/4 of a microgram in nanograms? 6750 How many litres are there in 387.0635 millilitres? 0.3870635 How many decades are there in fifty-nine fifths of a millennium? 1180 How many nanograms are there in 67.91787 micrograms? 67917.87 What is thirteen fifths of a litre in millilitres? 2600 Convert 49817.41ml to litres. 49.81741 What is 1/5 of a litre in millilitres? 200 What is five quarters of a week in minutes? 12600 What is fifty-two fifths of a tonne in kilograms? 10400 How many litres are there in 8144.731 millilitres? 8.144731 How many nanograms are there in fourty-five eighths of a microgram? 5625 Convert 907.0103 millilitres to litres. 0.9070103 Convert 749.217ml to litres. 0.749217 Convert 3.198211 millimeters to centimeters. 0.3198211 How many months are there in eleven quarters of a century? 3300 Convert 0.1547178nm to micrometers. 0.0001547178 What is 8230.307ng in kilograms? 0.000000008230307 What is 500701.1l in millilitres? 500701100 What is 29/5 of a microgram in nanograms? 5800 What is twenty-nine fifths of a litre in millilitres? 5800 What is 187.8669 tonnes in grams? 187866900 What is 8.467437 microseconds in nanoseconds? 8467.437 How many grams are there in one sixteenth of a tonne? 62500 What is 30/7 of a week in minutes? 43200 What is 7/8 of a micrometer in nanometers? 875 What is seventy-four fifths of a milligram in micrograms? 14800 How many months are there in one fifth of a millennium? 2400 How many centuries are there in 3/10 of a millennium? 3 Convert 3143.751l to millilitres. 3143751 How many millilitres are there in five eighths of a litre? 625 Convert 0.9683401ml to litres. 0.0009683401 How many decades are there in 1180.6437 months? 9.8386975 What is 25.68902 litres in millilitres? 25689.02 Convert 5467.874 micrograms to milligrams. 5.467874 How many millilitres are there in 86343.29l? 86343290 Convert 55742.37 centuries to years. 5574237 What is 75/4 of a litre in millilitres? 18750 What is 8807.388 kilograms in tonnes? 8.807388 How many nanograms are there in 21/5 of a microgram? 4200 What is 1/20 of a kilogram in milligrams? 50000 How many years are there in one fifth of a decade? 2 What is 25/4 of a second in milliseconds? 6250 How many millimeters are there in 22540.94km? 22540940000 How many seconds are there in 3/5 of a day? 51840 What is 16/9 of a week in minutes? 17920 What is 143.8930332ms in weeks? 0.000000237918375 How many nanograms are there in one quarter of a microgram? 250 What is eighty-one halves of a meter in centimeters? 4050 What is 0.5614171ng in kilograms? 0.0000000000005614171 What is 1/10 of a gram in milligrams? 100 What is 3/5 of a litre in millilitres? 600 What is 417753.7mm in nanometers? 417753700000 What is nine tenths of a litre in millilitres? 900 What is 1/20 of a microsecond in nanoseconds? 50 How many months are there in 23/3 of a century? 9200 What is 0.063252 years in months? 0.759024 How many years are there in seven halves of a decade? 35 What is 5/4 of a century in months? 1500 What is 53/5 of a microgram in nanograms? 10600 What is twenty-one eighths of a litre in millilitres? 2625 How many millilitres are there in 27/4 of a litre? 6750 What is nineteen quarters of a week in minutes? 47880 What is eleven halves of a day in hours? 132 Convert 180953.4 centuries to millennia. 18095.34 Ho
{ "pile_set_name": "DM Mathematics" }
(-1377)/18)/17*12/(-15)*1180/36 118 Evaluate ((-4)/182*1)/(((-1)/9)/(51/459)). 2/91 What is the value of (((-649)/11)/118)/((-8)/272)? 17 What is the value of 161*24/432*18*(-9)/21? -69 3/((((-351)/104)/(-9))/(123/2132)) 6/13 Evaluate ((-42)/(22/11))/((-1456)/6032). 87 What is the value of -24*96/(-1920)*90? 108 Calculate 78/39*2/(-4)*4. -4 ((-1)/((196/(-119))/7))/(12/960*4) 85 What is ((-44)/1056)/(8*(-9)/39744)? 23 ((-2024)/230)/((-319)/(-2030)) -56 Evaluate 16*(-42)/(-36)*48/(-10)*(-10)/(-14). -64 5/((-4)/30*85/(-34))*2 30 What is the value of -115*(4/(-12))/(380/(-456))? -46 1*(2/(-8))/((-305)/10370) 17/2 What is the value of (1/((-12)/18))/((-12)/50)*22/110? 5/4 What is 3/(((-55)/((-4290)/(-9)))/(1/2))? -13 648656/(-132472)*87/12 -71/2 Calculate (10*(-92)/(-2415))/(-8). -1/21 What is (-36)/(((-22176)/(-148))/(-154))? 37 Calculate ((-660)/36)/((-4994)/(-8172)). -30 What is (-4)/((-1)/(((-276)/(-16))/(-3)))? -23 What is ((-21600)/(-64))/27*-6*4/(-72)? 25/6 (-10340)/(-4136)*-3*20/48 -25/8 What is ((-1128)/752)/(112/96)? -9/7 What is (-43890)/(-30030)*(-78)/(-10)? 57/5 312/9*((-5544)/64)/(-77) 39 (144/(-66)*(-5)/35)/(2/21) 36/11 Evaluate (1664/(-1456))/((-20)/(-315)). -18 Evaluate (((-4446)/1045)/39)/((-23)/((-1495)/52)). -3/22 Evaluate (-775*74/9250)/(1/(-5)). 31 What is 62/((-6510)/(-1925))*(-3)/5? -11 ((-6496)/(-43120)*-77)/((-1)/(-10)) -116 1*-2*11*(-80)/(-1320) -4/3 What is the value of ((-40314)/739090)/(5/((-605)/6))? 11/10 Calculate ((-58)/(-2)*8/(-40))/(((-20)/(-5))/(-60)). 87 ((-238)/(131376/414))/(42/208) -26/7 What is the value of 3/42*-4*(13000/50)/(-52)? 10/7 What is the value of (7/((-126)/88))/(-5*16/1440)? 88 What is (2278/(-5695))/(((-1)/310)/(1/(-4)))? -31 ((-1)/30*3)/(23/(920/110)) -2/55 24/70*((-12445)/(-19))/131 12/7 Evaluate -14*(-52)/(-101738)*43. -4/13 Calculate (3*1)/((-28050)/74800). -8 ((-5)/(-21))/((-22240)/62272) -2/3 ((-27040)/(-7605))/((-720)/27) -2/15 Evaluate (6/(-2))/(-15)*1*(-155)/(-155)*60. 12 Calculate ((-3)/301*(-2261)/(-6783))/(3/(-7)). 1/129 Calculate 18/5*(-239)/(4302/27). -27/5 385/(-924)*4/(-9)*873/(-18430) -1/114 ((-54)/(-1512)*-21)/(6/(-1)) 1/8 What is (48084/(-20035))/(36/40)? -8/3 Evaluate -39*((-14)/(1764/70))/(-1). -65/3 What is the value of ((-12)/(-6405)*7)/((-476)/(-595))? 1/61 What is (-36)/12*(-2262)/(-1305)? -26/5 Evaluate ((-28)/56)/1*18/21. -3/7 (1/(-2)*(-5460)/(-273))/(((-63)/6)/7) 20/3 What is the value of (-22930)/18344*(-1)/(15/27)? 9/4 (-13)/1*(56/(-7))/((-20)/(-75)*-6) -65 What is (((-33)/44)/((-1)/(-2)))/(((-234)/(-120))/13)? -10 Evaluate ((-1)/(-33)*-3)/((4/(-22))/(24/(-33))). -4/11 Evaluate (((-160)/(-8320))/((-1)/(-3)))/(18/(-48)). -2/13 What is ((-24)/(-160))/((-425)/(-110500))? 39 ((-1914)/(-3828))/((-59)/(-4)) 2/59 Calculate (10/250*-10)/((-6)/(-45)*2/12). -18 What is (840/(-90))/4*7/(1715/14)? -2/15 What is the value of (2108/(-1581))/(8/237)? -79/2 What is ((-17)/3)/((-3)/(-4))*(-20)/((-3680)/828)? -34 What is (70/(-28))/((-18)/8*34/(-1530)*170)? -5/17 What is the value of (-57)/1140*8*(-3)/(-15)? -2/25 Evaluate (1400/(-24))/5*(9/(-126)*-21)/(-5). 7/2 Evaluate (-2*6*11/(-52))/(95202/618813). 33/2 What is (4/(-36)*-2)/(((-1140)/(-63))/(-38))? -7/15 34*(-30)/12*(-21)/28*(-16)/12 -85 ((-2)/(-22))/(374/(-1496)) -4/11 Calculate ((-2)/(-8))/((-5)/40)*5/(30/(-171)). 57 What is (1/(7/(-56)))/((-13804)/29)? 2/119 Evaluate (861/(-210)*5)/((-1)/(-4)*2). -41 What is (1/884)/((-243)/(-4131))? 1/52 17/(5236/231)*(-312)/9 -26 Calculate ((-870)/(-12))/(4100/(-1640)). -29 Evaluate 650/130*280/14*-2*(-3)/(-15). -40 Calculate 46/(-69)*8*4107/(-592). 37 Calculate (60/(-184)*12/5)/(1/((-17)/51)). 6/23 What is (-2)/(-2)*3*((-13570)/(-177))/23? 10 Evaluate 39/(6201/(-53))*12. -4 Evaluate ((-16)/(-36)*3)/(25*15/75). 4/15 What is (-41)/(10168/4092)*4/(-2)? 33 102/(-8)*(-58656)/6110*10/(-18) -68 (10/(-1675))/((-8)/(-10))*14/49*-14 2/67 What is 12/20*8/(-6)*(-10270)/43134? 4/21 Calculate (1040/60)/((-98)/(-147)). 26 What is (((-7)/(-2))/((-5)/(200/(-15))))/((-70)/(-420))? 56 Evaluate ((-208)/(-3770))/(42/(-35))*(-20)/120. 2/261 (48/(-72))/(1155/(-33))*(5*3)/3 2/21 What is -138*(-1323)/(-882)*(-2)/(-6)? -69 Evaluate 2/11*40392/(-7344). -1 Evaluate 9/(-63)*2*3/(-12)*4. 2/7 (-1392)/((-27144)/(-117))*3/(-102)*-1 -3/17 Calculate (2*388/(-8))/((-85)/2295*27). 97 Evaluate (-3)/(-5)*(-17450)/1387275. -2/265 What is ((-240)/(-3))/(-4)*(-205)/(-4510)? -10/11 7/((-7)/20)*(-5355)/2380 45 What is ((561/(-22))/(-3))/(-15*32/960)? -17 (404/19695)/((-350)/375) -2/91 Evaluate (9/39)/(((-8)/18)/(1716/1287)). -9/13 What is the value of 23*139/(242972/(-1520))? -20 What is -1*13/((-23010)/(-12))*-5? 2/59 Calculate (441252/(-56))/(-51)*20/(-90)*3. -103 (2/(-4))/((58/(-522))/((68/48)/(-17))) -3/8 What is (-3)/(3/(2*(-4)/(-8)))*120/(-460)? 6/23 What is the value of (1/(-3))/(((-4)/6)/(112/(-252)*24))? -16/3 What is the value of (((-45150)/(-258))/175)/((-2)/2*-18)? 1/18 Calculate (17/(-51))/(9/(567/(-156))*5/(-20)). -7/13 What is (-42)/16*6996/(-61215)? 3/10 What is (-44*(-1)/220)/((-6)/(-40))? 4/3 2/(-3)*-2*3/196*(-1156)/1734 -2/147 What is (-1716)/(-1001)*2/(-9)*-84? 32 Calculate (124/(-16))/((-371)/(-1484)). -31 2/((4/9)/(-4))*(-409)/(196320/(-640)) -24 Evaluate (-54)/((-8316)/(-22))*-3. 3/7 Calculate (-310)/(-3162)*-17*-21. 35 (-1*(-3)/(-15))/(((-272)/(-4480))/(-17)) 56 Evaluate (6/(-44))/(15243/(-9613252)). 86 (-40535)/(-25795)*(-3)/3*-1 11/7 What is the value of 1/(3/(-6)*(-13)/(2639/(-14)))? -29 What is the value of ((-158)/(-4))/(39/(-2028)*-286*2/(-22))? -79 What is the value of (-108)/(-168)*146/(-219)*-3? 9/7 What is ((-216)/(-54))/((-80)/1220)? -61 Evaluate ((-688)/(-430))/(-4)*6. -12/5 Calculate (-6115)/3669*(-21)/1. 35 Calculate 65/(5720/(-726))*(-2)/(-15). -11/10 What is the value of 141/(-6)*(-117)/(14625/(-250))? -47 What is 2/(-1)*3830/(-383)? 20 What is the value of (-2)/((16226/4087)/133)? -67 Calculate (1*-174)/((30744/(-244))/(-63)). -87 (-1*252/90)/((-1)/120*4) 84 (-3090)/10815*7/18 -1/9 Evaluate -3*((-4335)/2295)/((-4)/(-12)). 17 Evaluate 18/15*(((-133125)/(-325))/71)/(4/52). 90 Calculate ((-11340)/195)/21*1872/288. -18 (-17)/(7140/(-216))*-5*(-21)/(-1) -54 ((-1)/((-17)/(153/(-9))))/(11/726) -66 ((-76)/(-7))/((64/28)/((-2104)/(-263))) 38 (2*3/(-84))/((-12)/(-20)*3480/(-504)) 1/58 What is (58/957)/(70/18095)? 47/3 What is the value of (-1008)/84*50/200? -3 Evaluate (72/((-5)/(-2)*(-282)/(-940)))/3. 32 What is ((-4)/22)/(24700/28600)? -4/19 150/(-945)*(15834/(-145))/(-26)*(-10)/3 20/9 (-4)/(-30)*105/4*81/1134 1/4 (-62)/(6/(-5)*5*9/27) 31 What is the value of (55876/13740)/((-1)/15)? -61 Calculate ((-4655)/(-1064))/(42*23/(-828)). -15/4 Evaluate (3/(60/(-8)))/(4/(-735))*692/2076. 49/2 Calculate ((-209)/(-133))/(308264/1808). 2/217 ((-405)/(-50))/(-9)*120200/(-9616) 45/4 (-1665)/10*45696/(-51408) 148 Calculate (19*2/7)/(((-10521)/441)/(-167)). 38 (22244/(-1005))/(-83)*-35 -28/3 What is 555*(3555/(-675))/(-79)? 37 What is the value of (((50/(-105))/1)/((-23)/(-621)))/(2/(-7))? 45 Calculate ((-6)/28)/(6*14/(-315)*(-2583)/(-2296)). 5/7 (33*(-35)/(-3465))/(2/(-546)) -91 What is ((2/7)/2)/(((-387035)/3178)/(-55))? 2/31 (-141)/(-7050)*(190/12)/19 1/60 What is the value of (6/28)/((-3987)/9303)? -1/2 What is the value of ((-6)/(-9)*(6/4)/(-3))/((-2)/114)? 19 (-8)/3*123*(-891)/(-8118) -36 Calculate (756/3822*7/(-4))/((-1176)/637). 3/16 Calculate (-12)/(-765)*(-5060)/4600*(-30)/22. 2/85 10/(-5)*((-4095)/168)/((-27)/(-36)) 65 Calculate (846/114)/((-456)/5776). -94 (((-41580)/(-1254))/63)/(-5) -2/19 12/105*(-273*86/(-41925))/((-88)/10) -2/275 (38/10)/(51/((-22950)/(-60)))*-2 -57 (-2)/(76/(-24168)*-53) -12 Calculate (37/2664*-12)/(2/16*14). -2/21 Calculate ((568/(-8520))/(1/(-15)))/(2/76*-2). -19 What is 18640/932*(-54)/(-40)? 27 Calculate (112/(-6))/((-6531)/(-5598)). -16 (-1)/(4/(-6))*19*(-118)/13452 -1/4 What is the value of (-6)/((-87)/((-11745)/9))? -90 What is (2775/(-60))/((-5)/(36/((-54)/(-6))))? 37 Evaluate ((3/2)/((-2304)/(-512)))/(2/(-348)). -58 (-133)/(-1064)*(66/(-8))/((-9)/(-96)) -11 Calculate 5/(120/9)*(-30832)/(-282). 41 What is (48*476/2448)/((-24)/(-54)*-3)? -7 What is the value of (2/12)/(179/428526*19)? 21 Evaluate (405/1188)/((3/4)/((-19)/((-95)/(-10)))). -10/11 What is the value of (-8
{ "pile_set_name": "DM Mathematics" }
-1331 + 1615 for v. -27 Solve 343877*o + 130 = 343887*o for o. 13 Solve -30*f - 7*f - 38*f - 225 = 0 for f. -3 Solve -407*u - 3571 = -120*u + 1308 for u. -17 Solve 168*p - 147*p + 24 = -270 for p. -14 Solve -12*w + 1676 = 1856 for w. -15 Solve -41*z - 70 - 77 = 263 for z. -10 Solve -101*r = 10*r + 181*r + 876 for r. -3 Solve -150 + 35 = -13*j - 10*j for j. 5 Solve -15*m + 201 = -82*m for m. -3 Solve -v - 24*v = -127 + 777 for v. -26 Solve -763*u - 504 = -727*u for u. -14 Solve -12*y = -56 - 100 for y. 13 Solve -2*q - 459 = 3*q + 12*q for q. -27 Solve 69*x = -255*x for x. 0 Solve 9*n + 26 - 58 = 40 for n. 8 Solve -25948 = -517*a - 219*a - 262*a for a. 26 Solve -21*b - 8189 = 35*b - 7125 for b. -19 Solve 15*p + 795 = 795 for p. 0 Solve -17*y - 18*y + 33*y - 4 = 0 for y. -2 Solve 51*z = -611 - 613 for z. -24 Solve -4030 = 1014*j - 482 + 508 for j. -4 Solve 5*b - 21*b - 30 = -10*b for b. -5 Solve -47*m + 376 = 47*m for m. 4 Solve -361 = 42*m + 437 for m. -19 Solve -458*n - 31 - 41 = -452*n for n. -12 Solve -3710 = -144*v + 364 - 906 for v. 22 Solve -3405 = -908*d + 681*d for d. 15 Solve 874 = 992*r - 1045*r - 557 for r. -27 Solve -46*r - 289 = 6*r - 29 for r. -5 Solve 108*t + 4624 = 40*t - 204*t for t. -17 Solve -17*p = 582 - 327 for p. -15 Solve -203*i = 117*i + 3872 + 4128 for i. -25 Solve -1331 = -122*g + 621 for g. 16 Solve -9*i = 25*i + 241 - 887 for i. 19 Solve 92*k = -73*k + 1155 for k. 7 Solve 151*j + 11258 - 6577 = 0 for j. -31 Solve 25*t - 27*t - 10 = 0 for t. -5 Solve 274*b - 574*b + 256*b = 0 for b. 0 Solve 109*v + 1343 - 275 = -785 for v. -17 Solve -1986 = -5*c - 2106 for c. -24 Solve -17031*d = -17097*d + 198 for d. 3 Solve 6*c - 279 = -213 for c. 11 Solve -426 + 48 = -59*z + 271 for z. 11 Solve -387*l + 635*l = 3968 for l. 16 Solve -74*o + 25*o + 16*o = 396 for o. -12 Solve 5*q + 5*q - 7*q + 45 = 0 for q. -15 Solve 8*y - y = -26*y + 726 for y. 22 Solve -1013*v + 1500 = -1144*v - 989 for v. -19 Solve 0 = -4966*w + 5239*w - 1365 for w. 5 Solve -61*d + 17 = -41*d - 3 for d. 1 Solve 0 = 61*g + 61*g - 125*g + 27 for g. 9 Solve 1414 = 300*t - 1117 - 2869 for t. 18 Solve 213959 - 215443 = -53*r for r. 28 Solve -2481 = 2*x + 6*x - 2377 for x. -13 Solve -605 = 727*f - 672*f for f. -11 Solve 1940*y - 3869*y + 126 = -1938*y for y. -14 Solve 0 = 40*c + 83*c - 246 for c. 2 Solve -20*k + 12*k + 2 = -9*k for k. -2 Solve -77*x + 772 = -846 + 386 for x. 16 Solve 47709*c + 221 = 47692*c for c. -13 Solve 104*j + 94*j = -32 - 562 for j. -3 Solve 988*z - 1092*z = 2288 for z. -22 Solve -26*m + 14*m = 22*m + 680 for m. -20 Solve -10*z + 4*z - 12*z = -108 for z. 6 Solve 7 = 6*i - 4*i + 5*i for i. 1 Solve -37*g + 129 = -396 - 511 for g. 28 Solve 65*y + 498 = 169*y - 21*y for y. 6 Solve 2*y + 5 = -28 + 21 for y. -6 Solve -37*z + 1239 = 1572 for z. -9 Solve -14 = -50*b + 561 + 75 for b. 13 Solve -202*u - 4316 = 49*u - 300 for u. -16 Solve -92*g = 66*g - 101*g - 855 for g. 15 Solve 314004 - 314418 = 18*s for s. -23 Solve -770*n - 273 = -805*n - 28 for n. 7 Solve 12726 = -944*y - 470*y for y. -9 Solve 297*a + 1530 = -145 - 2780 for a. -15 Solve -1173 + 1175 = 2*s for s. 1 Solve 0 = -57*j + 432 + 67 + 71 for j. 10 Solve 290*y = 217*y - 1022 for y. -14 Solve 31*v = 10*v + 2159 - 2537 for v. -18 Solve 1594*v = 1548*v - 368 for v. -8 Solve 895*j = 861*j - 544 for j. -16 Solve -158*s + 1610 = 4432 + 2550 for s. -34 Solve 84*w - 144 = 76*w - 48 for w. 12 Solve -133*v - 2228 = -1164 for v. -8 Solve 178 = 114*n - 208 - 70 for n. 4 Solve 26*g - 313 = -17*g + 203 for g. 12 Solve 21*c - 250 = -75*c - 29*c for c. 2 Solve 45*r + 253 = -107*r - 203 for r. -3 Solve 0 = 1099*h + 5891 + 2901 for h. -8 Solve 0*q + 75 = -27*q + 2*q for q. -3 Solve -m - 80*m + 1925 = -4*m for m. 25 Solve 115 + 2 = 13*p for p. 9 Solve 1576 + 404 = 63*s + 69*s for s. 15 Solve -98*z = 39*z + 822 for z. -6 Solve 5158 = -24*g + 4702 for g. -19 Solve 8 = 61*c + 47*c + 548 for c. -5 Solve -17 - 344 - 90 = 41*m for m. -11 Solve -44*n + 32287 = 30703 for n. 36 Solve 122337*m - 122332*m = -45 for m. -9 Solve 68*p + 617 = 1637 for p. 15 Solve 13167*s = 12996*s - 513 for s. -3 Solve 10*x - 27 - 101 = -68 for x. 6 Solve -110*a = 12*a for a. 0 Solve -423*k = -370*k + 636 for k. -12 Solve -16*x - 36 - 131 = 105 for x. -17 Solve 36*f + 979504 = 978460 for f. -29 Solve 237*y + 466*y = -13417 + 4981 for y. -12 Solve -149*p + 7*p = -0*p + 1136 for p. -8 Solve 319*j = 414*j + 1425 for j. -15 Solve -2232 - 628 = -266*k + 598 for k. 13 Solve -977 + 1273 = -37*c for c. -8 Solve -1007*x = 36684 - 10502 for x. -26 Solve 22*b + 41*b = 10*b - 1590 for b. -30 Solve 170759 - 168569 = 146*q for q. 15 Solve 385 + 95 = 120*c for c. 4 Solve -51*t - 73*t + 2397 = 17*t for t. 17 Solve 307 = -32*b + 211 for b. -3 Solve -15*t - 1288 = 60*t + 17*t for t. -14 Solve 37*s - 15793 + 17162 = 0 for s. -37 Solve -53 + 160 = 14*l - 117 for l. 16 Solve -9*d + 44 = 98 for d. -6 Solve 3501 = -791*o - 454 for o. -5 Solve -65 - 53 = 8*s + 34 for s. -19 Solve 107*p + 101*p + 507 = 39*p for p. -3 Solve 73*f + 790 = -150*f - 2332 for f. -14 Solve 0 = 1078*c - 547*c - 546*c + 330 for c. 22 Solve 1415*m = 1376*m + 262 + 401 for m. 17 Solve 0 = -4801*c + 4778*c + 138 for c. 6 Solve 0 = 128*x + 396 - 2700 for x. 18 Solve 457*f + 1814 = -13724 for f. -34 Solve 60*g - 637 = -31*g for g. 7 Solve 607 - 210 + 401 = -114*o for o. -7 Solve -68*q - 20 = -70*q for q. 10 Solve 66*a + 80*a - 18*a = 1536 for a. 12 Solve -57*h + 4*h - 342 = 4*h for h. -6 Solve 0 = 230*z + 198*z + 5157 + 4259 for z. -22 Solve 166*x - 11*x - 1550 = 0 for x. 10 Solve -442 = 95*t + 1648 for t. -22 Solve 0 = 7*h + 364 - 357 for h. -1 Solve 27*d = 13*d + 16*d - 26 for d. 13 Solve 105 = 13*s - 101*s - 71 for s. -2 Solve 293*d + 103*d - 15365 = -43*d for d. 35 Solve -592 = 25*g - 7*g - 92*g for g. 8 Solve 696*z = -565*z - 38*z + 10392 for z. 8 Solve 0 = -4*d - 177 + 197 for d. 5 Solve 0*y - 230*y + 2530 = 0 for y. 11 Solve 211*d = -35*d - 3444 for d. -14 Solve -38*w - 4*w = -16 + 436 for w. -10 Solve -728*s - 710*s + 1029 = -1487*s for s. -21 Solve 111 = 36*j - 420 - 477 for j. 28 Solve -5765 = 43*b - 5894 for b. 3 Solve 97 - 12 = -754*z + 737*z for z. -5 Solve 10*v + 133*v + 1960 = -53*v for v. -10 Solve -11*s + s - 65 + 35 = 0 for s. -3 Solve 3682*i - 3663*i = -209 for i. -11 Solve 1309*n = -3445 - 13572 for n. -13 Solve 21*x - 22*x + 8 + 4 = 0 for x. 12 Solve -330 = 203*b - 1548 for b. 6 Solve 72*j - 133*j - 130 = -71*j for j. 13 Solve -175*x - 153*x + 4592 = 0 for x. 14 Solve 102 - 8 = -47*w for w. -2 Solve 1108*m + 1540 = 1248*m for m. 11 Solve -51*m - 236 + 93 - 724 = 0 for m. -17 Solve 18*y = 13*y + 61*y - 224 for y. 4 Solve -108*g + 121*g = -52 for g. -4 Solve 3367 + 154 + 119 = 455*r for r. 8 Solve -167*w + 3146 + 1184 - 1324 = 0 for w. 18 Solve -21130*u + 46 = -21107*u for u. 2 Solve -27*t = 393*t + 2520 for t. -6 Solve 916 = -143*q - 85 for q. -7 Solve 76*z = -5734 + 4214 for z. -20 Solve 1711*i - 40866 - 10464 = 0 for i. 30 Solve 0 = -836*r + 828*r + 16 for r. 2 Solve 23*y = 70*y + 643 + 391 for y. -22 Solve 28*d - 210 + 42 = 0 for d. 6 Solve 26528 = 463*a - 310*a + 676*a for a. 32 Solve 55302*y - 55296*y = -24 for y. -4 Solve -18*q - 418*q = -6540 for q. 15 Solve 0 = -69*f + 240*f + 3420 for f. -20 Solve 265*m + 116*m + 404*m + 13345 = 0 for m. -17 Solve -123*r = 177*r + 1500 for r. -5 Solve 66*m + m = -40*m + 2568 for m. 24 Solve 0 = 17*d - 64009 + 63992 for d. 1 Solve 0 = -135*j + 361*j + 241*j - 1868 for j. 4 Solve 0 = 163*q - 306*q + 169*q + 910 for q. -35 Solve 106 = -62*u + 71*u - 65 for u. 19 Solve -16576 = -237*u - 17998 for u. -6 Solve -71*l - 5430 = -433*l for l. 15 Solve -300*l + 58*l + 2580 = -70*l for l. 15 Solve -20*o = 21*o + 82 for o. -2 Solve -13*y + 11*y + 130 = 140 for y. -5 Solve -12*h + 1693 - 1765 = 0 for h. -6 Solve 13*r = 43 - 30 for r. 1 Solve p - 53 + 120 = 60 for p. -7 Solve 68*y - 429 = -973 for y. -8 Solve -92*t = 223*t + 109*t + 5088 for t. -12 Solve 160*o - 2*o = -12*o + 1020 for o. 6 Solve -115 = 19*n + 75 for n. -10 Solve -16824 + 16764 = -10*x for x. 6 Solve -55*u - 13 + 5 = 47 for u. -1 Solve 741 - 181 = 40*o for o. 14 Solve -17*m - 209 + 14 = 48*m for m. -3 Solve -24*t - 21*t = 89*t + 402 for t. -3 Solve -26*m + 894 - 686 = 0 for m. 8 So
{ "pile_set_name": "DM Mathematics" }
m of -6571, -13029, -19435, -25765, -31995, -38101, -44059? 4*g**3 + 2*g**2 - 6492*g - 85 What is the w'th term of 2050796, 2050811, 2050826? 15*w + 2050781 What is the d'th term of 215470, 215467, 215464, 215461, 215458, 215455? -3*d + 215473 What is the m'th term of 698, 1410, 2156, 2930, 3726? -m**3 + 23*m**2 + 650*m + 26 What is the b'th term of 29043, 29178, 29527, 30198, 31299, 32938, 35223, 38262? 18*b**3 - b**2 + 12*b + 29014 What is the z'th term of -43550822, -174203285, -391957390, -696813137, -1088770526, -1567829557? -43550821*z**2 - 1 What is the k'th term of 5028024, 5027688, 5027340, 5026974, 5026584, 5026164? -k**3 - 329*k + 5028354 What is the k'th term of -520, -4134, -13916, -32956, -64344, -111170, -176524, -263496? -515*k**3 + 6*k**2 - 27*k + 16 What is the t'th term of 748, -544, -1850, -3176, -4528, -5912? -t**3 - t**2 - 1282*t + 2032 What is the o'th term of 8309, 20569, 32829, 45089, 57349? 12260*o - 3951 What is the s'th term of -30444, -30321, -30198? 123*s - 30567 What is the u'th term of -47443, -50564, -55767, -63052, -72419, -83868, -97399? -1041*u**2 + 2*u - 46404 What is the w'th term of -8130, -6921, -5710, -4497? w**2 + 1206*w - 9337 What is the k'th term of -2268, -5810, -11944, -21966, -37172, -58858? -216*k**3 - 2030*k - 22 What is the w'th term of -138, 122, 536, 1104? 77*w**2 + 29*w - 244 What is the x'th term of -141164, -282327, -423494, -564665, -705840? -2*x**2 - 141157*x - 5 What is the t'th term of 5379, 20497, 45693, 80967, 126319, 181749, 247257? 5039*t**2 + t + 339 What is the j'th term of 5717, 5550, 4411, 1814, -2727, -9698, -19585, -32874? -81*j**3 + 400*j + 5398 What is the m'th term of 35443, 70659, 105877, 141097? m**2 + 35213*m + 229 What is the v'th term of -34688626, -69377252, -104065878, -138754504? -34688626*v What is the r'th term of -94502, -94283, -94062, -93839? r**2 + 216*r - 94719 What is the v'th term of 762671, 762675, 762681, 762689, 762699, 762711, 762725? v**2 + v + 762669 What is the n'th term of -510236, -510168, -510054, -509894, -509688, -509436, -509138? 23*n**2 - n - 510258 What is the g'th term of -18261, -18447, -18633, -18819, -19005? -186*g - 18075 What is the z'th term of -1751390, -1751403, -1751416, -1751429, -1751442, -1751455? -13*z - 1751377 What is the n'th term of 212446, 212536, 212626? 90*n + 212356 What is the g'th term of 3751949, 3751946, 3751945, 3751946, 3751949, 3751954, 3751961? g**2 - 6*g + 3751954 What is the u'th term of -4911, -11751, -18609, -25491, -32403? -u**3 - 3*u**2 - 6824*u + 1917 What is the a'th term of 83385697, 166771399, 250157111, 333542839, 416928589, 500314367? a**3 - a**2 + 83385698*a - 1 What is the t'th term of -6347, -32639, -104015, -243017, -472187, -814067, -1291199, -1926125? -3757*t**3 + 7*t - 2597 What is the w'th term of -12510, -12764, -13028, -13308, -13610? -w**3 + w**2 - 250*w - 12260 What is the r'th term of -1340, -12030, -29844, -54782? -3562*r**2 - 4*r + 2226 What is the b'th term of 47, 850, 3067, 7412, 14599, 25342? 119*b**3 - 7*b**2 - 9*b - 56 What is the j'th term of -9005, -17984, -26953, -35912, -44861, -53800? 5*j**2 - 8994*j - 16 What is the p'th term of -33718, -32720, -31722? 998*p - 34716 What is the c'th term of -472, -4738, -12828, -24742, -40480? -1912*c**2 + 1470*c - 30 What is the j'th term of -26724, -59124, -91522, -123918? j**2 - 32403*j + 5678 What is the r'th term of -284847267, -284847266, -284847265, -284847264? r - 284847268 What is the d'th term of -10544, -10619, -10824, -11225, -11888, -12879, -14264, -16109? -11*d**3 + d**2 - d - 10533 What is the b'th term of 4287, 4499, 4823, 5235, 5711, 6227, 6759, 7283? -4*b**3 + 80*b**2 + 4211 What is the x'th term of 75924789, 75924790, 75924789, 75924786, 75924781, 75924774, 75924765? -x**2 + 4*x + 75924786 What is the h'th term of 1529, 1691, 2037, 2627, 3521? 10*h**3 + 32*h**2 - 4*h + 1491 What is the s'th term of -210365, -420811, -631257, -841703? -210446*s + 81 What is the n'th term of -27856, -55889, -83922, -111955? -28033*n + 177 What is the t'th term of -525488, -525279, -524934, -524453, -523836, -523083, -522194? 68*t**2 + 5*t - 525561 What is the a'th term of 2996146, 2996086, 2996028, 2995972, 2995918, 2995866, 2995816? a**2 - 63*a + 2996208 What is the w'th term of -29026, -116108, -261246, -464440, -725690, -1044996, -1422358? -29028*w**2 + 2*w What is the z'th term of 11974, 11864, 11732, 11584, 11426, 11264? z**3 - 17*z**2 - 66*z + 12056 What is the j'th term of -902, -888, -888, -902, -930, -972, -1028? -7*j**2 + 35*j - 930 What is the b'th term of -14205, -113738, -383933, -910122, -1777637, -3071810, -4877973, -7281458? -14222*b**3 + b**2 + 18*b - 2 What is the a'th term of 270, 1378, 4450, 10488, 20494, 35470, 56418, 84340? 167*a**3 - 20*a**2 - a + 124 What is the n'th term of -11208576, -11208575, -11208574, -11208573, -11208572, -11208571? n - 11208577 What is the r'th term of 524719, 524697, 524673, 524647, 524619, 524589, 524557? -r**2 - 19*r + 524739 What is the m'th term of -423523, -847112, -1270701? -423589*m + 66 What is the q'th term of 72330822, 72330824, 72330826, 72330828, 72330830, 72330832? 2*q + 72330820 What is the j'th term of 168773, 167267, 165761, 164255, 162749, 161243? -1506*j + 170279 What is the w'th term of 37318, 149201, 335648, 596659, 932234? 37282*w**2 + 37*w - 1 What is the c'th term of -17766, -18446, -19126, -19806, -20486? -680*c - 17086 What is the t'th term of -53244, -53327, -53426, -53547, -53696, -53879, -54102, -54371? -t**3 - 2*t**2 - 70*t - 53171 What is the o'th term of -4491, -19421, -44275, -79029, -123659, -178141, -242451, -316565? 4*o**3 - 4986*o**2 + 491 What is the c'th term of 198052, 396104, 594152, 792196, 990236, 1188272, 1386304? -2*c**2 + 198058*c - 4 What is the p'th term of 7293, 7327, 7361, 7395? 34*p + 7259 What is the w'th term of -619, -1266, -1907, -2542, -3171? 3*w**2 - 656*w + 34 What is the u'th term of -2364, -2792, -3988, -6342, -10244? -65*u**3 + 6*u**2 + 9*u - 2314 What is the n'th term of -329111, -658718, -988325? -329607*n + 496 What is the c'th term of 461339, 922716, 1384093, 1845470, 2306847? 461377*c - 38 What is the o'th term of 138260, 276490, 414720, 552950? 138230*o + 30 What is the i'th term of -31058, -62087, -93030, -123839, -154466, -184863? 8*i**3 - 5*i**2 - 31070*i + 9 What is the k'th term of 8517, 16056, 23595, 31134, 38673, 46212? 7539*k + 978 What is the q'th term of 140548, 562429, 1265642, 2250187, 3516064, 5063273, 6891814? 140666*q**2 - 117*q - 1 What is the b'th term of 126, 836, 2584, 5826, 11018, 18616, 29076? 76*b**3 + 63*b**2 - 11*b - 2 What is the y'th term of 1435, 1090, 513, -296, -1337, -2610, -4115? -116*y**2 + 3*y + 1548 What is the b'th term of -10345, -20957, -31573, -42199, -52841, -63505, -74197? -b**3 + 4*b**2 - 10617*b + 269 What is the l'th term of 2316064, 4632073, 6948082? 2316009*l + 55 What is the m'th term of 162260, 325283, 488306, 651329, 814352? 163023*m - 763 What is the u'th term of 61698397, 61698392, 61698385, 61698376, 61698365, 61698352? -u**2 - 2*u + 61698400 What is the c'th term of -224687, -224541, -224397, -224255, -224115? -c**2 + 149*c - 224835 What is the r'th term of 8821646, 17643295, 26464946, 35286599? r**2 + 8821646*r - 1 What is the x'th term of 686117, 1372133, 2058149, 2744165, 3430181? 686016*x + 101 What is the v'th term of -5168879, -5168866, -5168855, -5168846, -5168839, -5168834? -v**2 + 16*v - 5168894 What is the o'th term of 23684, 94681, 213006, 378659? 23664*o**2 + 5*o + 15 What is the a'th term of 443601, 443434, 443149, 442740, 442201, 441526? -a**3 - 53*a**2 - a + 443656 What is the k'th term of 7162674, 14325351, 21488028, 28650705, 35813382? 7162677*k - 3 What is the k'th term of 5075975, 10151954, 15227933, 20303912, 25379891, 30455870? 5075979*k - 4 What is the u'th term of -3761911, -7523957, -11286003? -3762046*u + 135 What is the u'th term of -374654, -749312, -1123958, -1498592, -1873214? 6*u**2 - 374676*u + 16 What is the g'th term of -3832527, -7665076, -11497625, -15330174, -19162723, -22995272? -3832549*g + 22 What is the g'th term of 5242498, 5242706, 5242914? 208*g + 5242290 What is the k'th term of 28743, 28855, 29045, 29313? 39*k**2 - 5*k + 28709
{ "pile_set_name": "DM Mathematics" }
f = 12.2 - 116.2. Let u = -104.00000087 - f. Round u to seven dps. -0.0000009 Let g = 33.0694044 + -33.07. What is g rounded to four decimal places? -0.0006 Let k(v) be the third derivative of -v**4/24 - v**3 - 3*v**2. Let z be k(-8). Suppose -z*t - 2102047 = 3297953. What is t rounded to the nearest one million? -3000000 Let r = -0.026 - -2.066. Let y = 1.21 - r. What is y rounded to 1 decimal place? -0.8 Let w = 33615 + -22736. What is w rounded to the nearest one thousand? 11000 Let f = 123 + -142. Let o = 19.000199 + f. What is o rounded to four decimal places? 0.0002 Let i = -117 + 120. Suppose -i*s = -s - 2*b - 11920000, 4*b - 29800000 = -5*s. What is s rounded to the nearest one hundred thousand? 6000000 Let f = -2.1 + 2.2. Let y = -1.1 + f. Let b = -1.00049 - y. Round b to 4 decimal places. -0.0005 Suppose -5498 - 2332 = -3*i. What is i rounded to the nearest one hundred? 2600 Let x = 40 + -35. Suppose 12840 + 28160 = -x*q. Round q to the nearest 1000. -8000 Let m = -4651486043 - -4651487141.9999377. Let f = m - 1099. Round f to five dps. -0.00006 Let c = 32.4 + -18.19. Let m = 0.21 - c. Let l = -14.00000056 - m. Round l to 7 dps. -0.0000006 Let j = 640.158 - 51.124. Let n = j + -577. Let d = 12.2 - n. What is d rounded to 2 decimal places? 0.17 Let d = -0.29241 + 0.29253613. Round d to 6 decimal places. 0.000126 Let f = 0.03 - 0.13. Let g = 37.1 + f. Let o = g + -36.99999882. What is o rounded to 7 decimal places? 0.0000012 Suppose 104*d - 426240000 = 56*d. What is d rounded to the nearest 100000? 8900000 Let z = 1405.4 + -1596. Let y = 19.3 - -150.7. Let n = z + y. Round n to 0 dps. -21 Let w = -190.137 - -190. What is w rounded to two decimal places? -0.14 Let t(p) = 2*p**2 - p. Suppose -12 = -3*g, -3*g + 8*g - 25 = 5*a. Let v be t(a). Let u be 31*-2 + -2 + v. Round u to the nearest ten. -60 Let i = 96 + -106. Let s be i/55 + ((-125418)/22 - -1). Round s to the nearest one thousand. -6000 Let z = 2926.000021248 - 2926. What is z rounded to six dps? 0.000021 Let f = 92 - 91.999922. Round f to four decimal places. 0.0001 Let v(b) = 5*b**3 - 3*b**2 - 6*b - 26. Let m be v(11). Round m to the nearest 1000. 6000 Let a = 8095 + -7716.9. Let c = 395 - a. Round c to zero dps. 17 Let t = -54.3 + 98.7. Let q = t - 44.3707. What is q rounded to two dps? 0.03 Let w = 557 - 557.0000434. Round w to six dps. -0.000043 Let z = -5506 + 5506.4997. Round z to one dp. 0.5 Suppose 3*v - 6 = 6, q + 5*v - 19 = 0. Let z be 8425/((-4 + q)/(-200)). Round z to the nearest 10000. 340000 Suppose -3*g + 39625 = -53984. Let h be g/12 - 2/8. What is h rounded to the nearest one thousand? 3000 Let u = 73 + -145. Let r = u + 20. Let v = -52.0000021 - r. What is v rounded to 6 dps? -0.000002 Suppose -5*z + 2*z = 3705000. Round z to the nearest 100000. -1200000 Let g = 531.976 - 524. Let o = -8.02 - -0.02. Let v = g + o. What is v rounded to two decimal places? -0.02 Suppose -15 = 5*v, 5*y = -0*y + 4*v + 164937. Suppose 11 = 5*z - 9. Suppose -z*h = 4*n - 131980, -h - n - 2*n + y = 0. Round h to the nearest 10000. 30000 Let u = 132.9 + -16.9. Let s = u + -126.3. Round s to the nearest integer. -10 Let c = 146.93 - 146. Let i = c + -2.78. Let y = i + 2.3. What is y rounded to 1 decimal place? 0.5 Let a(r) = 2501*r**2 + 7*r + 6. Let l = -7 + 12. Suppose -4*y + 8 = -2*z, 0 = 2*z - l*y - 4 + 11. Let x be a(z). Round x to the nearest 10000. 90000 Suppose -4*y + 72 = -92. Let s = y + -41. Suppose 3*f + 1057 = 5*o, s = f - 3*o + 159 + 196. What is f rounded to the nearest 10? -350 Let u = -574 + 558.06. Let o = u - 0.06. Let c = o + 15.999988. Round c to 5 decimal places. -0.00001 Let j = -1637 - -1636.953225. Let o = j - -0.047. What is o rounded to 5 decimal places? 0.00023 Let v = -1608131 - -774131. What is v rounded to the nearest 10000? -830000 Let c = 10601128113663242.53999959 - 10601128184948583. Let p = c - -71285295.46. Let t = -45 - p. Round t to 7 dps. 0.0000004 Let n = -2.821 - -89.851. Let y = n - 2.03. Let x = y - 85.00000179. What is x rounded to 7 dps? -0.0000018 Suppose -2*l - 6 = -3*t, -2*l = t + 2 + 4. Suppose 990 = -t*o + o. What is o rounded to the nearest 100? 1000 Suppose -2*g = 3*g - 2679895. Let r = -25465 + 951444. Let o = r - g. Round o to the nearest one hundred thousand. 400000 Let d = 1394 + -1393.9999177. Round d to five decimal places. 0.00008 Let o = 8.5 - 8.672. Let k = o - 145.828. Let w = -146.63 - k. What is w rounded to one decimal place? -0.6 Suppose -87447 - 257355 = -4*g + s, 2*g - s = 172402. What is g rounded to the nearest one thousand? 86000 Let b = 0.15403 + -0.153. What is b rounded to 3 dps? 0.001 Let x = -0.19 + 0.2. Let z = 12.01 - x. Let t = z - 12.0014. Round t to 3 dps. -0.001 Let w = 10 - 8. Suppose 644 - 4284 = w*r. Round r to the nearest 100. -1800 Suppose 114 + 42 = 4*h. Let i(u) = 33*u - 20*u + 5 + h*u - 1. Let x be i(-7). Round x to the nearest 100. -400 Let l = -2988 - -5042. What is l rounded to the nearest 1000? 2000 Let v = 17.184 + -17.1840029044. Round v to seven decimal places. -0.0000029 Let x = 208.00000084 + -208. What is x rounded to 7 dps? 0.0000008 Suppose -u + 5 = 0, 1 = z + 3*u - 2. Let x(j) = 873*j**3 - 9*j**2 + 12*j - 16. Let s be x(z). Round s to the nearest one hundred thousand. -1500000 Let n = 308476 - 571476. What is n rounded to the nearest ten thousand? -260000 Let l = 543.00908 - 543. Round l to 3 dps. 0.009 Let w = -2.83 + 3. Let j = 0.16989 - w. What is j rounded to 4 decimal places? -0.0001 Let o = -0.01211 + 0.0104. Round o to 4 decimal places. -0.0017 Let x = -160 + 274. Let d = -113.746 + x. Round d to 1 decimal place. 0.3 Let l = -0.99 + -51.01. Let p = l + 63.2. Round p to the nearest integer. 11 Let v = 1480 + -1479.99998761. What is v rounded to 6 decimal places? 0.000012 Let q = -190 + 315. Let g = 125.0424 - q. What is g rounded to three dps? 0.042 Let n be 848069991/27 + 39/9 + -4. What is n rounded to the nearest one million? 31000000 Let t = 333.198241 - 333.2. What is t rounded to 4 dps? -0.0018 Let y = 2040030 - 2992075. Let l = y + 672045. Round l to the nearest 100000. -300000 Let n = 124 + -139.88. Let q = 16 + n. Let l = 0.1199962 - q. What is l rounded to 6 dps? -0.000004 Let m = -7554559 + 7554559.3050163. Let y = -0.305 + m. What is y rounded to 6 decimal places? 0.000016 Let r = -2.3158 + 0.4048. What is r rounded to zero dps? -2 Let a(h) = 2*h - 5. Let o be a(4). Let v be (2 - 2) + 115 + o. Let i be (-1)/(-3 + v/39). Round i to the nearest ten. -40 Let j = 670 - 175. What is j rounded to the nearest ten? 500 Let u = 36.89999774 - 36.9. Round u to 7 decimal places. -0.0000023 Let p = 65.4 + -91. Let w = p + 29. What is w rounded to the nearest integer? 3 Suppose -560213 - 79787 = 2*j. What is j rounded to the nearest one hundred thousand? -300000 Let j = 190 - 193.25. Let v = -75.9 + 80. Let y = j + v. What is y rounded to one dp? 0.9 Let c = -68734 + 68676.074. Let d = 57.97 + 0.03. Let z = c + d. What is z rounded to two decimal places? 0.07 Let y = 10.599431 + -10.6. What is y rounded to five dps? -0.00057 Let a = 459 + -458.9998537. Round a to 5 dps. 0.00015 Let i = 54.088401 - 54.3506. Let j = i - -0.262. Round j to 5 dps. -0.0002 Let w = -90.45 + 139.4. Let z = -48 + w. What is z rounded to one decimal place? 1 Let d = -33.997 + 34. Let u = d + -0.053. What is u rounded to 1 dp? -0.1 Suppose -19199946 = -3*q + 2*l, -2*l + 12604637 = 3*q - 6595297. Suppose 5*m = -5*v + v + 8000016, -4*m + 5*v + q = 0. Round m to the nearest 100000. 1600000 Let n = 0.37327 + -0.377. What is n rounded to 4 decimal places? -0.0037 Let t = 1961 + -1961.01746. Round t to three dps. -0.017 Let r(v) = 27*v - 4. Let g be 3 - (0 - 2/1). Let n be r(g). Let m = n + -78. Round m to the nearest ten. 50 Let t be (-3 - 0/4)/(-1). Suppose 0 = -t*s + 4*s - 3012. Let k = s - 1682. What is k rounded to the nearest one hundred? 1300 Let x = -349.161 - -349. Let s = x - -13.561. Round s to the nearest integer. 13 Let s = -0.1081 - -509.1081. Let q = 460.1 - s. Round q to the nearest 10. -50 Suppose -120 = -5*b + q + 4757, q - 1955 = -2*b. Round b to the nearest 10. 980 Suppose -8*b - 3*s = -13*b + 2553506, s + 2 = 0. Round b to the nearest 100000. 500000 Suppose 75 = -2*r - 3*r. Let t be (20 - r
{ "pile_set_name": "DM Mathematics" }
ase 2, what is 10000001001011101001010011 - -1? 10000001001011101001010100 In base 13, what is -24 - 3043? -3067 In base 8, what is 1 + 453411564? 453411565 In base 10, what is 4239 + -638? 3601 In base 9, what is -1556 + 83683? 82126 In base 15, what is -84ed - 5ca? -8ac8 In base 13, what is 6679 + -8b? 65bb In base 7, what is -114 + 121311? 121164 In base 8, what is 34 - 755753? -755717 In base 7, what is 513 + 105013? 105526 In base 15, what is 1a6b + -27ed? -c82 In base 3, what is 110200 + 2002011111? 2002122011 In base 7, what is -31522 + 6311? -22211 In base 11, what is -a1467 + -31? -a1498 In base 11, what is 106509880 + 4? 106509884 In base 14, what is -9209 + -157? -9362 In base 7, what is -101 - 532164? -532265 In base 4, what is 1003011021301 + 3? 1003011021310 In base 12, what is 60760 - -a? 6076a In base 13, what is -3 + -6a8c24? -6a8c27 In base 12, what is 12b2 + 7bbb4? 812a6 In base 9, what is -4700 + -1787? -6587 In base 13, what is 42095 + 20? 420b5 In base 13, what is 1694831 - -5? 1694836 In base 14, what is -3230a1 - -87? -323018 In base 2, what is 101010001011100 - -1111100111010? 111001110010110 In base 16, what is -2bfb6 - 86? -2c03c In base 12, what is 164181 - -20? 1641a1 In base 8, what is 6330 - 123230? -114700 In base 6, what is 4501 - 540210? -531305 In base 4, what is -1122022 - 2202302? -3330330 In base 14, what is 2 - a45b037? -a45b035 In base 12, what is 420a8a1a - -1? 420a8a1b In base 15, what is 66c - 1520? -da3 In base 6, what is 4 - 21015505? -21015501 In base 7, what is 22465116 + -6? 22465110 In base 7, what is -60612143 + 3? -60612140 In base 11, what is -2716 + a50? -1776 In base 16, what is -1 + -2e61a3? -2e61a4 In base 6, what is 3503 + 154221? 202124 In base 8, what is 446275316 - 4? 446275312 In base 14, what is 37366 - 87? 372bd In base 7, what is 43003 - -15615? 61621 In base 4, what is 211 + 3233330120? 3233330331 In base 2, what is 1111110010000 + 110111010000? 10110101100000 In base 13, what is 49c7780 - 5? 49c7778 In base 12, what is -2422 - -428? -1bb6 In base 9, what is -182512 - -260? -182242 In base 15, what is -7a + ded1de? ded164 In base 10, what is -101 - 272840? -272941 In base 9, what is -34883 + -232? -35225 In base 4, what is -22 - -111220001323? 111220001301 In base 7, what is 61 + -4433120? -4433026 In base 13, what is 3b9 + -28c32? -28846 In base 11, what is -36684a100 - 2? -36684a102 In base 4, what is 10 + -100021011012? -100021011002 In base 9, what is -30005 - -44? -28851 In base 13, what is -3 - 301254c? -3012552 In base 11, what is 152 - 110904? -110762 In base 12, what is -21b2a7 + -322? -21b609 In base 8, what is -13274 + 2353? -10721 In base 11, what is 4158a620 - 4? 4158a617 In base 9, what is 10617624 - 1? 10617623 In base 3, what is -2200021022000 + -12? -2200021022012 In base 11, what is -138 - -7972a2? 797165 In base 16, what is -24e6542 - -1? -24e6541 In base 4, what is 13110210220 - 10? 13110210210 In base 9, what is 558406 - -16? 558423 In base 7, what is 3543 - 3161061? -3154215 In base 9, what is 708 - 32778? -32070 In base 14, what is -2d5a - 400b? -6d67 In base 12, what is -1 - -947528? 947527 In base 5, what is -434131144323 + 10? -434131144313 In base 13, what is -985c - 9b? -992a In base 6, what is 35000241 - 101? 35000140 In base 12, what is 393511 - -252? 393763 In base 5, what is 33311410121 - 3? 33311410113 In base 11, what is -1355972 + -1a3? -1356065 In base 14, what is -762 + c6? -67a In base 12, what is 59882303 - 1? 59882302 In base 16, what is -12070 + -366? -123d6 In base 6, what is -20524215331 + 10? -20524215321 In base 13, what is -21040 - -a3? -20c6a In base 14, what is -2 + -4db546? -4db548 In base 3, what is 1100 + 100101110020? 100101111120 In base 14, what is -3903897 + -2? -3903899 In base 4, what is -1 - 23332102102? -23332102103 In base 7, what is -4 - 151253605? -151253612 In base 7, what is 226356 + -232? 226124 In base 3, what is 2020 - -2011210111? 2011212201 In base 8, what is -3 + 106337225? 106337222 In base 2, what is 10000001001111 - 111010011? 1111001111100 In base 5, what is -102334133200 + 30? -102334133120 In base 3, what is -12 + 10201102211001122? 10201102211001110 In base 4, what is 13003012023 + 2231? 13003020320 In base 13, what is -6a1a7726 + -4? -6a1a772a In base 7, what is -4 + -1013600124? -1013600131 In base 12, what is 75 - 6b574? -6b4bb In base 5, what is -1 + 410431212034? 410431212033 In base 11, what is 8a70 - -7982? 15942 In base 9, what is 42363 - 36? 42326 In base 9, what is 114222776 - 3? 114222773 In base 16, what is 9 + 15cef3? 15cefc In base 8, what is 203 - 17070? -16665 In base 11, what is 712a - -555? 7684 In base 6, what is 44523252 - -141? 44523433 In base 4, what is -22103211332 + 23? -22103211303 In base 16, what is -1b1 - 1224? -13d5 In base 12, what is -32a0735 - -1? -32a0734 In base 8, what is 23123 + 302? 23425 In base 7, what is -5401000 + 412? -5400255 In base 13, what is -45cb6 + b23? -45193 In base 13, what is -56 - 28680? -28706 In base 4, what is -12 - 2121310100020? -2121310100032 In base 15, what is d01 + 44ebd? 45cbe In base 6, what is 1 + -41244400? -41244355 In base 14, what is 463a359 - -5? 463a360 In base 13, what is -23 - 1a5c2b6? -1a5c309 In base 12, what is 2 - 1a174a87? -1a174a85 In base 8, what is -12 + 7146654? 7146642 In base 5, what is 134240 + -1104444? -420204 In base 8, what is 0 - -16214557? 16214557 In base 16, what is 11a8f858 - 3? 11a8f855 In base 16, what is -15df0c + -20d? -15e119 In base 12, what is -652 + bbb1? b55b In base 14, what is 43a0 - -8476? c836 In base 9, what is -6 - 46683676? -46683683 In base 9, what is 1 + 22020704? 22020705 In base 15, what is -79921ab + -2? -79921ad In base 14, what is d12214 + 4? d12218 In base 3, what is -200001122 - 20020? -200021212 In base 8, what is -267300 - 1361? -270661 In base 12, what is 35b2a + -1768? 34382 In base 15, what is 4d7cc - -10? 4d7dc In base 6, what is -313255 - -3520? -305335 In base 10, what is -214927 - -1024? -213903 In base 11, what is 4096 - -152? 4238 In base 15, what is 2e009c5 + -2? 2e009c3 In base 5, what is 342333134 + -4040? 342324044 In base 12, what is 27500124 - 2? 27500122 In base 2, what is -1011100010000110101010 + 1? -1011100010000110101001 In base 14, what is -26b3ad + c7? -26b2c6 In base 2, what is 11010111000101110011111 + 11? 11010111000101110100010 In base 2, what is -11 - 1010001000001111110000011? -1010001000001111110000110 In base 8, what is 445 - -63220? 63665 In base 7, what is -6232 - -40122? 30560 In base 13, what is -87368 - -68? -87300 In base 6, what is -1 - 10250522234? -10250522235 In base 13, what is -5531712 - -9? -5531706 In base 6, what is 201535 - -23433? 225412 In base 16, what is -27e563c + -8? -27e5644 In base 7, what is -20303 + -21536? -42142 In base 10, what is 91 + 6029? 6120 In base 15, what is 2 - 60752c? -60752a In base 15, what is -131c75 - 31? -131ca6 In base 3, what is -10011022 + 21220? -2212102 In base 7, what is 11033030 + 110? 11033140 In base 5, what is -2 + 2030322203? 2030322201 In base 11, what is -25a0873 + 81? -25a07a2 In base 9, what is -6820 - -44152? 36232 In base 12, what is 241 + 163208? 163449 In base 4, what is 110223 - 13331202? -13220313 In base 4, what is -113 + 1100313002? 1100312223 In base 8, what is 417543722 + 0? 417543722 In base 14, what is -816284 - -4? -816280 In base 2, what is 111010011 + -110111? 110011100 In base 3, what is 201020210012 + 212? 201020211001 In base 7, what is -1634262 - -42? -1634220 In base 2, what is 101010101 - -111001010000? 111110100101 In base 2, what is 101110 + 1010011111? 1011001101 In base 6, what is -115552 + 105? -115443 In base 6, what is -2505243 - -4001? -2501242 In base 15, what is -1adbecd + 1? -1adbecc In base 4, what is 1 - 111222221131? -111222221130 In base 15, what is 2246 - 70b? 1a3a In base 13, what is 44500a + 12? 44501c In base 5, what is -410224440 - -11344? -410213041 In base 4, what is 2202332313212 + -11? 2202332313201 In base 11, what is 4 + 560829? 560832 In base 6, what is -142345002 + 102? -142344500 In base 6, what is -50052040 + -51? -50052131 In base 10, what is 101550634 + 6? 101550640 In base 16, what is 18 - 2f6a046? -2f6a02e In base 13, what is 3 + 27103b?
{ "pile_set_name": "DM Mathematics" }
et h = b - -389/2. What is the common denominator of 4/14*(-15)/4 and h? 14 Suppose -45 = -4*a + 67. Suppose 4*b + 50 - 222 = 0. Suppose -45 = -4*r + b. Calculate the least common multiple of r and a. 308 Let x(m) be the second derivative of -m**5/20 + m**4/12 + m**3/3 - 4*m. Let i be x(2). Let v = i + 10. Calculate the least common multiple of v and 22. 110 Let t = 5765/14 + -411. Calculate the common denominator of t and -7/20. 140 Let d = 2/40533 - -959261/405330. Let x = -741607/69 + 10747. Calculate the common denominator of d and x. 690 Suppose 26*b - 28*b = -20. What is the lowest common multiple of 154 and b? 770 Let a(v) = 17*v + 128. What is the least common multiple of 30 and a(-7)? 90 Let r = -9 - -12. Let a(j) = 3*j**2 - 3*j - 3. Calculate the lowest common multiple of 18 and a(r). 90 Let y = -5369/4 - -4046/3. Let o = 43992 + -31396. Let b = o - 126063/10. Find the common denominator of b and y. 60 Let l = 8 + -6. Suppose l*n - 5*x - 37 = 0, -5*n - 4*x + 2*x + 20 = 0. What is the least common multiple of 3 and n? 6 Let o = 809329/48 - 16863. Calculate the common denominator of o and 125/36. 144 Find the common denominator of -46/11 and 15/9*(-2)/((-30)/5). 99 Let d be 4/(-14) - (-2664850)/70. Let q = -1370351/36 + d. Find the common denominator of q and -61/20. 180 Suppose -20*w + 928 = -16*w. Suppose -3*f + 2*f = -2*t - 58, 4*f = -2*t + w. Calculate the least common multiple of f and 10. 290 Suppose 0 = 2*s - 14 + 54. Let c = 30 + s. Let d = c + -2. Calculate the least common multiple of d and 4. 8 Let y be 53/(-11) + 44/(-242). Calculate the common denominator of -43/18 and (-524*y/240)/((-10)/(-4)). 90 Let j(z) = 327*z**2 + 3*z - 4. Let p be j(1). Let i = -212 + p. What is the least common multiple of i and 12? 228 Let q(u) = u - 4. Let z be q(4). Suppose -2*g + 0*g + b - 49 = z, -b = g + 17. Let x = g - -26. Calculate the lowest common multiple of x and 3. 12 Let b be 1/(-18)*(-313196)/2954. Let k = b + -2/1477. Calculate the common denominator of (77/42*2)/3 and k. 9 Let g(j) be the third derivative of 763*j**6/40 + j**4/24 + 6*j**2. Let f be g(-1). Let l = -18379/8 - f. Find the common denominator of l and -29/8. 8 Calculate the common denominator of -109/420 and 13/((-455)/154)*10. 420 Let w = -475 + 481. What is the smallest common multiple of w and 6*7 - (-1 + 1)? 42 Suppose -9*p + 96 = 3*p. Calculate the smallest common multiple of 23 and p. 184 Suppose 0 = 19*q - 2165 - 343. What is the least common multiple of 180 and q? 1980 Let q = 31 - 29. Suppose 3*i - 2*c - 126 = -2*i, 0 = -q*i + 2*c + 54. Calculate the lowest common multiple of i and 32. 96 Let l = -23 + 29. Calculate the common denominator of -4 - ((-545)/(-4))/(-5) and (-12)/(-4) - (-31)/l. 12 Let x be ((-3)/(-2))/((-3)/(-2)). Let o be 7 + 10 + (x - 2). What is the smallest common multiple of -1*o/(-4) + 3 and 4? 28 Suppose -4*a + 4*r + 360 = a, 0 = -4*a - 2*r + 288. Calculate the smallest common multiple of a and 56. 504 Let x = 1806 - 5488/3. Suppose -r - 3 = 0, -5*r = -3*a + 18 + 6. Calculate the common denominator of x and (-1)/a + (-151)/(-12). 12 Let v(c) = c**3 + 16*c**2 + 47*c - 8. Calculate the least common multiple of 33 and v(-12). 132 Let p = 57638417/10 + -5768971. Let w = p - -5118. Find the common denominator of -47/14 and w. 70 Let l(k) = k**2 - 7*k + 12. Suppose 3*g - 15 = -2*p, 11 = 5*g - p - 27. What is the lowest common multiple of 14 and l(g)? 84 Let h(a) = -2*a + 10. Let d be h(3). What is the common denominator of (-3)/d + 1712/(-704) and -22/13? 143 Let d(t) = -t**2 - 26*t - 14. Let g be d(-23). Let k = g - 49. What is the least common multiple of 2 and k? 6 Suppose -136 = -2*l - 2*p - 14, 167 = 3*l - 5*p. Suppose 0 = -55*s + l*s - 48. Calculate the smallest common multiple of 16 and s. 48 Suppose 2*p + h - 70 = 0, 3*p - 121 = -2*h - 18. Let i = p + -71. Let o = -431/4 + 90. What is the common denominator of i and o? 4 Let o = 54201 + -4064999/75. Calculate the common denominator of o and 49/27. 675 Let b be 2 - -4 - 0/(-7). Suppose 17 = b*t + 5. Let g(l) = 5*l + 4. Calculate the lowest common multiple of g(t) and 16. 112 Let o = 121823/72 - 13587/8. Find the common denominator of o and 107/76. 684 Let o(r) = -11*r + 69. Let z(a) = -9*a + 1 + 3*a + 3*a - 16*a. What is the lowest common multiple of o(5) and z(-1)? 140 Let r = 56 + -65. Find the common denominator of (73/18)/(12/r) and -52/9. 72 Suppose -q + 4*q + 8 = -2*y, 4*q - y = 4. Let x = -1 - -3. Suppose x*r + 0*r + 2*i - 24 = q, -r + 16 = 2*i. What is the smallest common multiple of r and 12? 24 Suppose 3*k - 112 = -4*h, -3*h = 25 - 10. What is the least common multiple of 20 and k? 220 What is the smallest common multiple of 48 and ((-8)/((-168)/(-35)))/((-1)/36)? 240 Calculate the smallest common multiple of (2/5)/((-2)/(-30)) and 2. 6 Find the common denominator of 27/5 and 8/(-32)*1*(-300)/(-14). 70 Let n = 780 - 9371/12. Find the common denominator of n and 70/80*(3 + -4). 24 Let z be -1 - (-2 + 0) - (-8561)/(-6). Let u = 1420 + z. Find the common denominator of u and 40/9. 18 Suppose 7*x = 5*x + 8. Let u be (0 - -3)*x/(-3). Calculate the smallest common multiple of 22*(-1)/u*2 and 9. 99 Calculate the common denominator of 10/((-640)/84)*1/18 and -33/2. 96 Calculate the common denominator of -1 + 30/4 + 0 and 84/196 + 285/(-175). 10 Let q = -52621/206790 + 346/565. What is the common denominator of 113/10 and q? 1830 Let f(u) = -u**3 + 22*u**2 + 3*u + 14. Calculate the lowest common multiple of f(22) and 40. 80 Suppose 4*m - 206 = 3*q + 284, -4*q = 3*m + 645. What is the smallest common multiple of 9 and (-3)/5 - q/45? 9 Let v = -194 + 204. Suppose -86 = -3*u - 20. What is the least common multiple of v and u? 110 Let t = 508 - 504. Let o(v) be the second derivative of -v**5/20 + v**4/3 + 2*v**3/3 - v**2 + v. What is the lowest common multiple of 22 and o(t)? 154 Let k = 3 - 2. Let y(v) be the second derivative of 19*v**4/12 - v**3/6 + 2*v - 58. What is the lowest common multiple of 16 and y(k)? 144 Let v = -8 - -21. Let o = 26 - v. What is the smallest common multiple of 4 and o? 52 Let u = 2229 - 17757/8. What is the common denominator of 2 + 15/36*34 and u? 24 Let o = 201 - 161. What is the smallest common multiple of 35 and o? 280 Suppose 7*m - 6*m = 1. What is the common denominator of 3/m - (-25)/8 and -145/6? 24 Let r = 9327 - 15333587/1644. Let w = r + -35623/4932. What is the common denominator of 131/18 and w? 18 Let a(d) = -5*d + 94. Calculate the lowest common multiple of 12 and a(10). 132 Let w = 15 - -17. What is the common denominator of 121/20 and (-52)/w + 2/(-6)? 120 Find the common denominator of (1*-2 + -29)*(-49)/(-686) and 101/8. 56 Calculate the common denominator of 6 + (200820/(-30240) - (-4)/9) and -113/140. 280 Let o be 45/10 - 9/6. Suppose 0*w - 6 = -w + 2*p, 17 = 5*w + o*p. Suppose 2*c + w = 48. What is the lowest common multiple of c and 10? 110 Let s = 205 + -63. What is the least common multiple of s and 2? 142 Suppose -3*j - p = 20957, -2*p = -4*j - 0*p - 27926. Let c = -97697/14 - j. What is the common denominator of -95/18 and c? 126 Let h be ((-79)/(-2))/((-93)/(-18)). Let n = h + -1715/496. What is the common denominator of n and -2*(-10 + 3 - 5405/(-276))? 48 Let o(d) = 2*d**2 - 2*d + 2. Suppose 3*l = 2*a + 15, 5*a - 22 + 112 = -3*l. Let z = -13 - a. Calculate the lowest common multiple of o(z) and 10. 30 Let y(q) = -q**2 - 8*q - 2. Let n(k) = k. Let o(l) = 4*n(l) - y(l). What is the lowest common multiple of 3 and o(-12)? 6 Let n(o) = 9*o - 27. Let z be n(4). Let l be (-1 - -2)/((-3)/(-12)). Suppose 7 + z = l*c. What is the least common multiple of c and 4? 4 Suppose 0 - 550 = -5*q. Calculate the least common multiple of q and 80. 880 Let q(m) = -m - 7*m**2 - 8 + m**2 + 1 - m**3. What is the common denominator of (-20)/(-3)*(-24)/12 and q(-6)? 3 Suppose 0 = u + u + 28. Let t = 1581/10 - 157. Find the common denominator of t and -1 + ((-291)/u)/(-3). 70 Let m(j) = -j**3 + 9*j**2 - 9*j + 11. Let k be m(8). What is the smallest common multiple of (35 - (k - (5 - 1))) + 0 and 21? 252 Let c = -419/945 - -2/135. Suppose 4*r - 3*r = 10. Calculate the common denominator of c and (-5)/r + 56/(-5). 70 Let h = -871377/76 + 11466. Calculate the
{ "pile_set_name": "DM Mathematics" }
nearest to 0? (a) v (b) -2 (c) j a Let d = 38 - 43.9. Let r = d + 6. Let x = -16/5 - -17/10. What is the nearest to r in x, 0.4, 0.2? 0.2 Let l = 190 - 194. Let r be 4/(-3) + 2 - 1. What is the nearest to r in 4, -3, l? -3 Suppose -5*h + 20 = -5*v, -7*v + 8*v - 4*h + 10 = 0. What is the nearest to 0.1 in -10, v, 0.2? 0.2 Let i = 0.4 - -7.6. Let l = i - 7.7. What is the closest to -2/7 in l, 1/2, -2? l Let y(h) = -5*h + 86. Let o be y(17). Let j = -373/8 + 47. What is the nearest to o in 1/6, j, 0.4? 0.4 Let l be ((-12 - -6) + 8)/(1 + -20). What is the nearest to 0.3 in l, -4, -3? l Let h = 0 + 0.3. Let s = 158 - 158. Which is the closest to s? (a) -1/3 (b) -3 (c) h c Let x = -16.9 + 17. Which is the closest to x? (a) -6 (b) -0.5 (c) 5 b Let d = 0.7 - 0.6. Let j = d + -1.1. Which is the nearest to j? (a) 3/2 (b) -4/5 (c) 2 b Let i = -6 - -5.9. Let u = -0.7 + 0.3. Suppose 5*v - 13 = w, 0 = 5*v + 5*w - 2*w - 1. Which is the nearest to i? (a) v (b) u (c) -1 b Let x = -20 - -34. Let z = 14.4 - x. Let j be 4/6 - 2/2. Which is the nearest to 0.1? (a) z (b) 1 (c) j a Let k be (3/22)/(6/(-8)). Let y = 0.47 - -1.53. Which is the nearest to y? (a) -2/3 (b) k (c) -0.5 b Suppose -4*i + i = 9, v = 3*i + 124. Let f = 807/7 - v. Let w = 8 + -12. Which is the closest to 2/5? (a) -5 (b) f (c) w b Let m be ((-288)/44)/(-3) + -2. Let v be (3/6)/((-2)/(-4)). Which is the nearest to v? (a) 5/2 (b) m (c) 3/7 c Let n be ((-6)/20)/(6/(-5)). Let l be 4/(-6) - (-19)/(-57). Which is the closest to l? (a) n (b) -0.5 (c) 1 b Let g = 5.3 + -5. Let d be 3*(-3)/18*2. What is the closest to d in g, -0.4, -4? -0.4 Let u = 0.24 + -0.24. What is the nearest to u in 4, -2, 0.4? 0.4 Let d = -271/5 - -55. Let i(t) = -t + 5. Let r be i(9). Let x be (-21)/(-27) + r/(-18). What is the nearest to -2 in x, d, -4? -4 Let x = -16.9 - -17. What is the nearest to x in 12, 2/5, -5? 2/5 Suppose 4*n - 4 = -2*x, 3*n - 12 = 2*x + x. What is the nearest to x in 0.4, -2/5, 3? -2/5 Suppose -2*z + 3*z - 2 = 0. Let i be 0*(-2)/(-10) + 3. Which is the closest to z? (a) -1/6 (b) i (c) -5 b Let g = 0.02 + -0.52. Let h = -0.13 + 0.03. What is the nearest to h in 1/4, g, 1? 1/4 Let r = -240 - -240. Let n = 2.8 + -3. Which is the closest to -1? (a) r (b) n (c) 4 b Let p = 0.1 - 0. Let x = p + 0.4. Which is the nearest to 0? (a) 0.3 (b) 2 (c) x a Let s be 81/60 - ((-15)/12 - -2). What is the closest to -1 in -1/3, -3, s? -1/3 Let v = 5.2 - 1.2. Which is the closest to -1? (a) 5 (b) 0.2 (c) v b Let y = -26 + 25. Suppose -3*a - 2 = -5. What is the nearest to 1 in y, a, -3? a Let n = -10.4 + 11.4. Let j be (-27)/2*(-68)/(-6). Let z = -762/5 - j. Which is the nearest to n? (a) z (b) 3 (c) 1 c Let r = -44 - -41. Which is the closest to 3? (a) 1/2 (b) r (c) 1/4 a Let r = 4.08 - 0.08. Let w(s) = -s**2 + 13. Let d be w(-4). What is the closest to -1 in r, d, 1/6? 1/6 Let u = 0.05 - -4.95. Let g be ((-14)/6)/(-1) + -2. Which is the closest to g? (a) u (b) 2/7 (c) -2 b Let i(v) = v**3 - 3*v + 1. Let t be i(2). Let o be ((-9)/6 - -3)/t. Suppose -5*u = -0*u - 20. Which is the closest to 0.1? (a) u (b) o (c) -2 b Let i be (-3)/(-18) - (-73)/30. Let c = -3 + i. What is the closest to -0.1 in -1/8, c, -2/17? -2/17 Let t = 0 + 0. Let f(l) = -3*l + 1. Let r be f(1). Let m = -5 - r. Which is the closest to t? (a) -4 (b) m (c) 2/17 c Let l = -1.02 - -0.02. Which is the nearest to -4? (a) l (b) -0.3 (c) 5 a Let i(t) = -t - 11. Let p be i(-5). Let x(z) = z + 7. Let m be x(p). What is the nearest to -1/2 in m, 2/3, -0.2? -0.2 Let f = 0.9 - 1. Let x = 0.01 - 0.51. Let m = -0.7 - x. What is the nearest to -0.1 in f, 2/5, m? f Let g = -130 - -652/5. Let w = -2 - 1. Let t = 4 - 6. Which is the nearest to t? (a) w (b) 4/7 (c) g a Let a = 104 + -34. Let t be 36/a + (-8)/(-28). What is the nearest to -1/3 in 0, -0.5, t? -0.5 Let m = 5.3 - 5. Suppose u + 0*u - 5*x - 11 = 0, 0 = 4*u + 4*x + 28. Let t = -0.6 - -2.6. What is the nearest to 0 in u, t, m? m Let s be 6/(-7)*(-13)/(-39). What is the nearest to -0.1 in 1/3, -1, s? s Suppose 5*s + 7 = 32. Suppose 32 = -s*g - 2*f - f, 5*g + 4 = 4*f. Which is the nearest to 0? (a) g (b) -2 (c) -3 b Let i = -0.1 - -0.4. What is the closest to 2 in i, -1/6, 5? i Let s = -913/1110 + -2/185. Let u = 1.2 - 1. Which is the closest to -1? (a) u (b) 5 (c) s c Let x = 3/19 - 2/133. Let h = 1 + -1. Let g = -3 + 3.5. Which is the nearest to 1? (a) h (b) x (c) g c Suppose 0 = -4*z + 33 - 77. What is the nearest to 2/7 in 2/5, 1/5, z? 1/5 Let z = -10 + 10. Let t = 174804253/38969 - 85237/19. Let v = t - -1/293. What is the closest to z in v, -2/11, -1? -2/11 Let l(y) = y**3 - 6*y**2 + 6*y - 11. Let w be l(5). What is the nearest to 2 in 2, 2/5, w? 2 Let r be 18/(-24) - 1*2. Let c = 21/4 + r. Let g = -1.2 + 0.2. What is the closest to g in 0.5, c, 0.4? 0.4 Let w = -3/253 + -11885/506. Let m = w - -24. Let t be 3 + ((-2)/(-1))/(-2). What is the nearest to -0.1 in m, 0.1, t? 0.1 Let o = 0 + 0.1. Let r be (2/36)/((-4)/8). Let u = -7/9 - r. Which is the nearest to 0.1? (a) u (b) o (c) -4/7 b Suppose -a = a - 3*z - 3, 5*z - 17 = -4*a. Let d be 1758/20*(-6)/(-9). Let q = d - 59. What is the closest to q in -3, a, -0.4? -0.4 Let s(r) = -r**3 + 7*r**2 + 8*r + 3. Let u be s(8). Let d = -0.3 + 0.2. What is the nearest to -2/3 in -0.5, d, u? -0.5 Let w = -20/23 - -214/299. Which is the nearest to 0.1? (a) 4/3 (b) w (c) -4 b Let v = -14.9 + 16. Let t = 6.1 - v. What is the closest to 1/4 in 0.3, -0.1, t? 0.3 Let w be (1 - 1) + 3/(-5). Let z be ((-32)/20)/((-2)/5). Suppose 4*o + 3 = -3*c, -z*o = c + 2 - 9. What is the closest to -2/7 in -3/8, c, w? -3/8 Let j = -0.09 + -0.41. What is the nearest to 1 in j, 1/4, -2/9? 1/4 Let k be (-470)/(-1269)*(1 + 4/(-10)). Which is the closest to 3? (a) k (b) -0.1 (c) -2/5 a Let f = -82/3 - -27. Which is the closest to -0.3? (a) 0.5 (b) f (c) -1 b Let g = 0.3 - 0.1. Let j = -5.06 + 0.06. Suppose -2*x = -o - 0 - 1, 33 = -4*x - 5*o. Which is the nearest to g? (a) j (b) -3 (c) x c Let z = -7 - -11. Let s = -3 - 1. Let x = s + z. Which is the closest to 2? (a) 3/2 (b) x (c) -1 a Let k = -1.8 + 1.1. Let z = k + -3.3. Let a = z - -3.9. What is the closest to a in -2, 1/3, 2/11? 2/11 Let z = 0.9 + -0.3. Let l = z + 0.3. Which is the closest to -2/3? (a) -1 (b) l (c) 0.1 a Let q = -2 + 2. Let y = 0.1 + q. Let d = 8.5 + -9. Which is the nearest to y? (a) d (b) 0.1 (c) 0.5 b Suppose 4 = -4*v + 2*w, 16 = -3*w + 7*w. Let x be 2/4 - 11/2. Which is the nearest to v? (a) 0 (b) x (c) 0.1 c Let b = 10 - 9. Let u = -0.3 + 3.3. Let k = u - 2.9. What is the closest to b in 2, k, 0.3? 0.3 Let i = 115 - 113.98. Let k = i - 0.02. Let x = -2 - k. What is the nearest to -0.1 in -0.3, x, 5? -0.3 Let s = -4 + 5. Let a be 20/(-8)*(-2 + 0). What is the nearest to -1 in -0.2, s, a? -0.2 Let a = 87.7 + -88. What is the nearest to 0 in a, 1, 4? a Let d = 6.9 + -6.8. What is the nearest to -0.6 in -0.3, -2, d? -0.3 Let j = 0.995 - -0.045. Let u = j + -0.04. Let c = 0.3 - 0.2. What is the nearest to u in 4/5, 0.5, c? 4/5 Let f = 11 - 11.4. What is the nearest to -0.1 in -2/11, f, 1? -2/11 Let z be ((-1)/(-2))/(21/(-12)). Let o = 775/7543 - -1/397. What is the nearest to z in 0.2, o, 2? o Let w = -1523/9 + 169. Let n = -1 + 1. Which is the nearest to 3? (a) -5 (b) w (c) n c Let x = -0.02 + 0.12. What is the closest to x in 6, 0, -2? 0 Let c = -4 - -32. Let a = -55/2 + c. What is the closest to a in -0.3, 2, 3/5? 3/5 Let j = -180/7 - -26. Let n(x) = x**3 + 4*x**2 - 2. Let z be n(-4). What is the nearest to 1/5 in j, 5, z? j Let o = 1 - 1. Suppose 5*r = -3*k + 2*r + 15, -4*k - 1 = -3*r. Let z be 1*1/(-3)*-3. Which is the nearest to k? (a) o (b) 1/4 (c) z c Let i = -0.854 - 0.146. Let w = 0.2 - -0.8. Which is the nearest to -1/4? (a) -0.5 (b) i (c) w a Let c = -2 - -1. Let t = c + 0. Let g = -1 - -2. What is the nearest to t in -2, 0.3, g? -2 Let w be 6/(-24) + (-11)/4. Let k = -3 - -2.9. Which is the closest to k? (a) w (b) 5 (c) 1 c Let n = -7.91 - 0.09. Let a = 5 - 1. Let h = n + a. What is the closest to -1/3 in h, 5, 0? 0 Suppose 0 = -m + 3*m + 4. Let w be 0 + 2*m/14. Let n = -26 + 24. What is the nearest t
{ "pile_set_name": "DM Mathematics" }
, -191, -421, -743? -1157 What is next in -480, -478, -462, -426, -364? -270 What is next in 6, 1, -4, -9, -14? -19 What is the next term in -5, -24, -53, -92, -141, -200? -269 What is the next term in 176, 346, 514, 680, 844, 1006? 1166 What is the next term in 3, 2, -5, -18, -37? -62 What comes next: -123, -245, -367, -489, -611, -733? -855 What is the next term in -32, -66, -100, -134, -168? -202 What comes next: 21, 11, 1, -9, -19, -29? -39 What comes next: 51, 224, 397? 570 What is next in -11, 3, 41, 115, 237, 419, 673? 1011 What is next in 166, 321, 478, 637? 798 What comes next: -125, -127, -129, -131, -133, -135? -137 What is the next term in 73, 78, 83, 88, 93, 98? 103 What is next in -58, -62, -76, -106, -158? -238 What is next in -1066, -1065, -1064, -1063? -1062 What comes next: -605, -2398, -5379, -9542, -14881, -21390? -29063 What is the next term in 75, 147, 215, 279, 339? 395 What is next in -331, -334, -337? -340 What is the next term in 20, 111, 366, 869, 1704, 2955? 4706 What is the next term in -1861, -7444, -16749, -29776, -46525, -66996, -91189? -119104 What is next in -4, 36, 104, 200, 324? 476 What comes next: 145, 552, 1229, 2176, 3393, 4880, 6637? 8664 What is next in 3236, 6469, 9700, 12929, 16156? 19381 What comes next: 1964, 1965, 1958, 1937, 1896, 1829, 1730? 1593 What comes next: 382, 675, 966, 1255, 1542? 1827 What is next in -55, -79, -125, -199, -307? -455 What is next in 35, 123, 271, 479, 747, 1075? 1463 What is the next term in -49, -150, -437, -1006, -1953, -3374, -5365, -8022? -11441 What is next in -51, -123, -221, -345, -495, -671, -873? -1101 What is the next term in 142, 208, 260, 292, 298, 272, 208, 100? -58 What comes next: -60, -260, -590, -1044, -1616, -2300, -3090? -3980 What comes next: 33, 58, 99, 156, 229? 318 What is next in 12, 41, 86, 153, 248, 377, 546, 761? 1028 What is next in -3029, -3031, -3033, -3035, -3037? -3039 What is next in 20, 2, -36, -106, -220, -390, -628, -946? -1356 What comes next: -7, 3, 29, 71, 129? 203 What is the next term in 92, 90, 86, 80, 72, 62? 50 What is the next term in 94, 146, 210, 292, 398, 534? 706 What is the next term in 273, 512, 751? 990 What comes next: 3, -2, -11, -24, -41, -62, -87? -116 What comes next: 210, 241, 272, 303, 334, 365? 396 What comes next: -16, -43, -80, -133, -208, -311? -448 What is next in 8482, 8477, 8462, 8431, 8378, 8297, 8182? 8027 What is next in 0, 0, 8, 30, 72, 140, 240? 378 What is next in 105, 109, 117, 129, 145? 165 What is the next term in 10, 22, 48, 94, 166, 270, 412, 598? 834 What is the next term in -10, -21, -18, 5, 54, 135? 254 What comes next: 11, 28, 57, 98, 151, 216? 293 What is the next term in -77, -188, -335, -518, -737? -992 What is next in -144, -133, -114, -87, -52, -9, 42? 101 What is next in -45, -103, -161, -219? -277 What is next in -102, -247, -390, -531, -670? -807 What is next in 878, 865, 852, 839, 826? 813 What is next in 1348, 2694, 4040, 5386, 6732? 8078 What is the next term in -302, -338, -384, -446, -530, -642? -788 What is the next term in -145, -282, -417, -550, -681? -810 What comes next: -58, -168, -396, -802, -1446, -2388, -3688, -5406? -7602 What comes next: 192, 374, 556, 738, 920? 1102 What is the next term in 43, 41, 37, 31, 23, 13, 1? -13 What comes next: 193, 417, 655, 913, 1197, 1513, 1867, 2265? 2713 What is next in -55, -94, -131, -166, -199? -230 What is next in 298, 299, 300? 301 What is the next term in -2716, -2715, -2714, -2713, -2712? -2711 What comes next: -53, -98, -135, -164, -185, -198? -203 What comes next: 218, 885, 1996, 3551, 5550, 7993, 10880? 14211 What is the next term in 5403, 5399, 5393, 5385, 5375, 5363, 5349? 5333 What comes next: 1604, 1609, 1616, 1625, 1636? 1649 What is next in -68, -199, -412, -701, -1060, -1483? -1964 What comes next: -253, -1016, -2291, -4078, -6377, -9188? -12511 What is next in -59, -50, -19, 46, 157, 326, 565? 886 What comes next: -58, -65, -82, -115, -170, -253, -370, -527? -730 What is next in -67, -124, -195, -286, -403, -552, -739? -970 What comes next: -2545, -5088, -7631? -10174 What is next in -14, -4, 6? 16 What comes next: -182, -354, -526, -698? -870 What is the next term in -11, -16, -25, -38? -55 What is next in -141, -119, -111, -123, -161, -231? -339 What is next in 10, 7, 6, 7, 10? 15 What is the next term in 16, 12, 8? 4 What is next in 11, 33, 69, 119, 183? 261 What is next in 195, 200, 201, 198, 191, 180? 165 What is next in -7, -15, -9, 17, 69, 153? 275 What comes next: 16, -4, -58, -164, -340, -604, -974, -1468? -2104 What is next in 37, 49, 67, 91, 121? 157 What is next in -33, -46, -63, -84, -109, -138, -171? -208 What comes next: 27, 30, 33? 36 What is the next term in 160, 307, 454, 601, 748? 895 What is next in 90, 138, 186, 234, 282, 330? 378 What is next in -53, -83, -99, -95, -65, -3, 97? 241 What is next in 8, 15, 28, 47, 72? 103 What is next in -231, -938, -2109, -3738, -5819, -8346, -11313, -14714? -18543 What comes next: -175, -351, -537, -739, -963, -1215? -1501 What is the next term in -237, -241, -245? -249 What is the next term in -26, -50, -74? -98 What is next in 23, 22, 13, -10, -53, -122, -223? -362 What comes next: -13, -30, -25, 14, 99? 242 What comes next: -54, -61, -72, -87, -106, -129? -156 What comes next: 83, 64, 11, -94, -269, -532? -901 What is next in -2737, -2734, -2729, -2722, -2713, -2702? -2689 What comes next: 235, 436, 637, 838, 1039? 1240 What is next in 2362, 4727, 7092, 9457? 11822 What is next in 840, 843, 846, 849, 852? 855 What is next in 232, 240, 254, 274, 300? 332 What is the next term in -176, -178, -178, -176, -172, -166, -158? -148 What is the next term in 43, 60, 77? 94 What is next in -11, -2, 15, 40, 73, 114? 163 What is the next term in 303, 313, 323, 333, 343? 353 What comes next: 0, 6, 18, 36, 60, 90, 126? 168 What comes next: 762, 760, 758, 756? 754 What comes next: 203, 204, 199, 182, 147, 88? -1 What is next in -319, -2593, -8769, -20797, -40627, -70209, -111493? -166429 What is next in 156, 152, 144, 132, 116? 96 What is the next term in 240, 481, 720, 957, 1192? 1425 What is the next term in -17, -26, -37, -50, -65? -82 What is the next term in -3654, -7309, -10964, -14619, -18274, -21929? -25584 What is the next term in -10, -51, -122, -223, -354? -515 What is the next term in 864, 895, 926, 957, 988? 1019 What is next in -70, -153, -250, -361? -486 What comes next: -9, -59, -149, -285, -473, -719, -1029? -1409 What comes next: 15, 33, 67, 123, 207, 325, 483? 687 What is the next term in 90, 91, 92, 93? 94 What is the next term in 7, 44, 151, 364, 719? 1252 What is the next term in -278, -532, -786, -1040, -1294? -1548 What is next in -105, -229, -363, -513, -685, -885? -1119 What is the next term in 31, 19, -15, -83, -197, -369, -611, -935? -1353 What is the next term in 222, 226, 232, 240, 250, 262? 276 What comes next: 1, -43, -169, -419, -835, -1459, -2333, -3499? -4999 What is next in 8, 3, -8, -25, -48? -77 What is next in -213, -210, -187, -132, -33, 122? 345 What is the next term in -136, -579, -1328, -2383, -3744, -5411? -7384 What is next in -49, -108, -175, -256, -357, -484, -643? -840 What is next in 10, 11, 2, -23, -70? -145 What is next in 1460, 1461, 1462, 1463? 1464 What is the next term in 303, 591, 881, 1173, 1467, 1763? 2061 What comes next: 4, -2, -10, -20, -32, -46? -62 What is the next term in -89, -178, -265, -350, -433, -514, -593? -670 What is next in -19, -51, -107, -199, -339, -539? -811 What comes next: 534, 500, 480, 480, 506, 564, 660, 800? 990 What comes next: 52, 45, 34, 19, 0, -23? -50 What comes next: 532, 527, 512, 481, 428? 347 What is the next term in 45, 59, 61, 45, 5, -65, -171, -319? -515 What is next in -25, -19, -11, -1? 11 What is the next term in 129, 237, 333, 411, 465, 489? 477 What is the next term in -219, -220, -223, -228, -235? -244 What is the next term in 181, 179, 173, 163, 149? 131 What is the next term in -1049, -2101, -3155, -4211? -5269 What is the next term in 1408, 1416, 1426, 1438, 1452? 1468 What comes next: -65, -82, -103, -128, -157, -190, -227? -268 What is the next term in 78, 81, 86, 93, 102, 113? 126 What is the next term in 5, 2, -23, -82, -187? -350 What comes next: -25, -58, -103,
{ "pile_set_name": "DM Mathematics" }
t replacement from yyyueyyyyydy. Give prob of picking 1 d, 1 e, and 1 y. 9/220 Calculate prob of picking 1 y and 3 k when four letters picked without replacement from yllikykkknklliyhkii. 5/323 Calculate prob of picking 1 i and 1 t when two letters picked without replacement from giiitggigggiiggtg. 3/34 Two letters picked without replacement from {l: 2, s: 2, m: 5}. What is prob of picking 2 m? 5/18 What is prob of picking 1 d and 1 c when two letters picked without replacement from cddcmm? 4/15 Calculate prob of picking 4 l when four letters picked without replacement from {l: 10}. 1 What is prob of picking 1 m and 1 d when two letters picked without replacement from {l: 6, m: 1, a: 8, d: 1, x: 4}? 1/190 Three letters picked without replacement from {j: 5, z: 7}. Give prob of picking 3 z. 7/44 Calculate prob of picking 1 i and 1 k when two letters picked without replacement from {i: 1, w: 2, o: 2, t: 6, k: 1}. 1/66 Calculate prob of picking 3 y when three letters picked without replacement from {y: 4, s: 3, r: 6}. 2/143 Calculate prob of picking 1 p and 1 l when two letters picked without replacement from mmmudpl. 1/21 Calculate prob of picking 1 l and 1 f when two letters picked without replacement from eleelfelletylleel. 7/136 Two letters picked without replacement from {q: 1, l: 1, w: 2, v: 2, r: 2}. What is prob of picking 2 v? 1/28 Calculate prob of picking 1 a and 1 y when two letters picked without replacement from {a: 3, q: 1, y: 4, e: 1, i: 2}. 12/55 Calculate prob of picking 1 n and 3 y when four letters picked without replacement from {n: 1, b: 3, v: 1, a: 3, c: 2, y: 3}. 1/715 Calculate prob of picking 1 f and 1 c when two letters picked without replacement from {c: 1, r: 1, f: 1}. 1/3 What is prob of picking 1 f, 1 t, and 1 u when three letters picked without replacement from {u: 1, f: 1, p: 2, t: 1}? 1/10 Two letters picked without replacement from {z: 2, g: 1, f: 1, t: 1, b: 2, q: 2}. Give prob of picking 1 b and 1 q. 1/9 Calculate prob of picking 3 h and 1 r when four letters picked without replacement from grhrrrrrhghrhhrg. 4/91 Three letters picked without replacement from {z: 3, c: 9}. What is prob of picking 3 c? 21/55 Three letters picked without replacement from uwyew. What is prob of picking 1 y, 1 w, and 1 e? 1/5 Calculate prob of picking 2 q and 1 o when three letters picked without replacement from ooaqqqqqaqaaqoqq. 27/140 Two letters picked without replacement from {c: 2, r: 6, m: 2, n: 4, p: 1, g: 2}. What is prob of picking 1 g and 1 n? 1/17 Two letters picked without replacement from yiiqyqqqiyyyooq. What is prob of picking 1 y and 1 i? 1/7 What is prob of picking 1 h and 1 b when two letters picked without replacement from {w: 2, m: 4, b: 1, h: 3}? 1/15 Calculate prob of picking 1 i and 2 c when three letters picked without replacement from iccccccc. 3/8 Calculate prob of picking 1 e, 1 w, and 1 f when three letters picked without replacement from {s: 1, f: 1, e: 5, w: 5}. 5/44 Calculate prob of picking 2 q when two letters picked without replacement from jooqomjmjojojjjomqj. 1/171 Three letters picked without replacement from wymkwwwmwwymmjymm. Give prob of picking 2 k and 1 w. 0 What is prob of picking 1 q and 2 e when three letters picked without replacement from {e: 14, q: 4}? 91/204 What is prob of picking 1 a, 1 y, and 1 h when three letters picked without replacement from {y: 5, r: 1, a: 2, h: 1}? 5/42 What is prob of picking 4 m when four letters picked without replacement from pmmpmmpppmmp? 1/33 What is prob of picking 2 w and 2 d when four letters picked without replacement from dwwwddw? 18/35 Two letters picked without replacement from zmczsszkkkkv. Give prob of picking 1 m and 1 z. 1/22 Calculate prob of picking 1 b and 1 d when two letters picked without replacement from dddddddddbdydd. 12/91 Three letters picked without replacement from oznnnccccczchcececc. What is prob of picking 2 z and 1 n? 1/323 Calculate prob of picking 1 j, 1 i, 1 p, and 1 l when four letters picked without replacement from yjilijpy. 2/35 Two letters picked without replacement from {b: 2, m: 1, e: 3, h: 2, l: 9, v: 1}. Give prob of picking 1 m and 1 b. 2/153 Calculate prob of picking 1 n, 1 o, and 1 i when three letters picked without replacement from onbipnv. 2/35 Two letters picked without replacement from bbbbkkakrbark. What is prob of picking 1 k and 1 a? 4/39 Calculate prob of picking 1 s and 3 m when four letters picked without replacement from wfmsw. 0 Four letters picked without replacement from ttttgttauuhtygy. Give prob of picking 1 a, 1 u, and 2 g. 2/1365 Calculate prob of picking 1 e and 1 m when two letters picked without replacement from {e: 4, g: 1, m: 2, x: 2}. 2/9 Calculate prob of picking 1 m and 2 a when three letters picked without replacement from amhafpaamp. 1/10 Two letters picked without replacement from {p: 1, n: 1, t: 1, r: 1, q: 1}. Give prob of picking 1 t and 1 r. 1/10 Calculate prob of picking 2 t and 1 o when three letters picked without replacement from {o: 6, t: 2, j: 4, q: 6}. 1/136 What is prob of picking 1 e and 1 u when two letters picked without replacement from eneunefueffunf? 12/91 Three letters picked without replacement from {p: 1, w: 5, h: 1, f: 6, t: 2}. What is prob of picking 2 t and 1 w? 1/91 Two letters picked without replacement from ggzz. What is prob of picking 2 z? 1/6 Three letters picked without replacement from {t: 2, b: 2, e: 2, p: 4, y: 2, c: 2}. What is prob of picking 1 b and 2 p? 3/91 What is prob of picking 1 c, 1 v, and 1 d when three letters picked without replacement from {z: 5, c: 4, t: 1, v: 4, d: 6}? 8/95 Calculate prob of picking 1 m and 1 t when two letters picked without replacement from fuumzfumtvmu. 1/22 Three letters picked without replacement from oboppzozyp. Give prob of picking 2 z and 1 p. 1/40 What is prob of picking 1 b and 2 l when three letters picked without replacement from bbllllllblbb? 21/44 Calculate prob of picking 1 t and 1 w when two letters picked without replacement from lkikkltwill. 1/55 Calculate prob of picking 2 t and 2 b when four letters picked without replacement from ttttttbtbtttt. 1/13 Four letters picked without replacement from {b: 1, n: 3, t: 1, c: 4, v: 2, r: 4}. What is prob of picking 1 v and 3 c? 8/1365 Two letters picked without replacement from {c: 3, i: 1}. Give prob of picking 1 i and 1 c. 1/2 Four letters picked without replacement from {j: 3, h: 4, b: 2}. What is prob of picking 2 h, 1 b, and 1 j? 2/7 Two letters picked without replacement from {r: 11, s: 1, d: 7}. Give prob of picking 1 s and 1 d. 7/171 Two letters picked without replacement from jjjjjljjjjjjjjljjjj. Give prob of picking 2 l. 1/171 Three letters picked without replacement from {q: 3, b: 1, j: 1, g: 4, t: 2, w: 1}. What is prob of picking 1 q, 1 w, and 1 t? 3/110 Calculate prob of picking 1 r and 2 o when three letters picked without replacement from oiroooioiiiiiiiiriii. 1/57 What is prob of picking 3 z when three letters picked without replacement from zvzvvvzvvzvvvz? 5/182 Two letters picked without replacement from vaaavavavvaav. What is prob of picking 2 v? 5/26 Four letters picked without replacement from gzuaapc. What is prob of picking 1 c, 1 a, 1 u, and 1 z? 2/35 Two letters picked without replacement from aaaananaaanaaaaaana. What is prob of picking 2 n? 2/57 Calculate prob of picking 4 o when four letters picked without replacement from {o: 5}. 1 Four letters picked without replacement from dddyydyddyyd. Give prob of picking 3 d and 1 y. 35/99 What is prob of picking 2 y, 1 j, and 1 q when four letters picked without replacement from {q: 4, y: 2, j: 2}? 4/35 Four letters picked without replacement from iiivivrrx. Give prob of picking 2 i and 2 r. 1/21 Three letters picked without replacement from vjcvcdvvvjv. Give prob of picking 2 c and 1 d. 1/165 Three letters picked without replacement from kkccscjcccykkycc. What is prob of picking 1 y, 1 k, and 1 j? 1/70 Four letters picked without replacement from lpxpqoq. What is prob of picking 2 p, 1 x, and 1 l? 1/35 Calculate prob of picking 1 n, 1 b, and 1 e when three letters picked without replacement from wnwewbnewebnenenwnm. 20/323 Two letters picked without replacement from {p: 2, u:
{ "pile_set_name": "DM Mathematics" }
se 73*r - 70*r = j. What is the tens digit of r? 3 Let d be (-7)/((-84)/(-488))*(-45 + 0). Suppose 0 = -7*n + 2*n + d. What is the units digit of n? 6 Suppose -q - 2*y + 1966 = 0, -q + 0*y + 1969 = y. Let u(z) = -z**2 + 4*z - 1. Let p be u(3). What is the tens digit of p*6/(-20) - q/(-20)? 9 Suppose 31 + 39 = c. Let w = c - -144. Let z = w - 124. What is the tens digit of z? 9 Let h(n) = 209*n - 5. Let x be 579/(-15) + 3 + (-8)/20. Let d be -4*(-3)/x + (-4)/(-3). What is the units digit of h(d)? 4 What is the hundreds digit of (-11)/1 + 25 - -866? 8 What is the hundreds digit of 1845200/150 + (-22)/(-2) + 2/(-6)? 3 Suppose -2*d + 2*g = 72, 4*d + 15 = -4*g - 97. Let k = 316 + d. What is the hundreds digit of k? 2 Let g = 534 - -221. Suppose -9*h + g = -4*h. Let a = h - 82. What is the units digit of a? 9 Suppose 0*c + 5*v + 3 = c, 5*c + 4*v - 15 = 0. Suppose 5*n + 23 = c. What is the tens digit of (4 - 313)*(1 - n/(-3))? 0 What is the ten thousands digit of 0/(-18) + (2 - -15529) + 5? 1 Suppose 8*v - 5474 = 23425 + 29. What is the thousands digit of v? 3 What is the units digit of ((-4091)/2)/((-418)/(-44) - 10)? 1 Let v(f) = f**3 - 16*f**2 - 13*f - 25. Let n(y) = 19*y - 4. Let p be n(3). Suppose -19 = -2*g - 5*i + 10, 3*g - 2*i = p. What is the units digit of v(g)? 3 What is the hundreds digit of (-93701920)/1482*12/(-10)? 8 Let n(w) = -w**3 + 3*w**2 + 4*w + 3. Let i be n(4). Suppose -5*u + 40 = 2*h + 294, 415 = -i*h + u. Let j = -95 - h. What is the units digit of j? 2 Let n be (30/4)/((7 + -6)/6). Let k = 28 - n. Let c(a) = a**2 + 15*a - 10. What is the units digit of c(k)? 4 Let l(i) be the first derivative of i**3/3 - 3*i**2 - 23*i + 93. Suppose -2*h + 33 = h. What is the units digit of l(h)? 2 Let b = 86 - 78. Let f(u) = 24 - 1662*u + 1632*u - b. What is the hundreds digit of f(-4)? 1 What is the units digit of (-12)/24 + 206330/20? 6 Let h(k) = k + 4. Let y be h(-1). Suppose 0 = -4*g - y*z + 405, 0 = -5*g + 4*g + 4*z + 106. Let t = g + -34. What is the tens digit of t? 6 Suppose -3*h = 4*g - g - 15, -4*g = -2*h - 2. What is the units digit of (h - 2)*199 + -1? 8 Let z be (330/(-35))/(((-1)/(-7))/(-1)). Suppose -z + 473 = 11*o. Suppose -6*u + 7*u = o. What is the tens digit of u? 3 Let p(i) = -i**2 - 8*i - 3. Let n be p(-7). Suppose -2*m = -n*y + m + 17, 0 = -4*y - 2*m + 2. Suppose -f = y - 17. What is the tens digit of f? 1 Suppose -23 + 3 = -10*d. Let n(k) = 3*k - k**2 - 18 + 0*k**d + 7 + 2*k**2. What is the tens digit of n(8)? 7 Let d = -309 - -309. Suppose 4*p + 4*w - 1031 - 413 = d, 0 = -2*p + 5*w + 736. What is the tens digit of p? 6 Suppose 255*k - 9033609 = -1567719. What is the ten thousands digit of k? 2 What is the hundreds digit of 30*((-916)/20 - 5)*(-6 + 1)? 6 Suppose a + x + 155119 = 4*a, -a + 5*x = -51697. What is the units digit of a? 7 Let l be (-55)/(-66)*(-8)/(-10)*810. Suppose m - 3*u = -0*u + l, -5*m + 4*u + 2656 = 0. What is the hundreds digit of ((-6)/(-72)*6)/(2/m)? 1 Let t = 21264 - -13602. What is the hundreds digit of t? 8 Let b(m) = -15*m**3 - 19*m**2 + 18*m + 96. What is the tens digit of b(-5)? 0 Suppose 3*p = -2*p - 720. Let s = 56 + -127. Let j = s - p. What is the tens digit of j? 7 Let r(x) = -x**3 + 4*x**2 - 8*x + 16. Let u be r(3). Let o(w) = 226*w**3 - 2*w**2 + 3*w. What is the tens digit of o(u)? 2 Let y = 214 - 64. Let d be 25/y - 22/(-12). Suppose -p = 2*g, d*p - 5*g = 8 + 10. What is the units digit of p? 4 Let g be -7 - -761 - 3 - (3 - 0). Suppose -j + 199 = 5*o, 0 = -7*j + 3*j - 4*o + g. What is the hundreds digit of j? 1 Suppose 3*j - 10 = -o, -18*j + 14*j + 10 = 3*o. Let q(m) = 0*m - 7*m**2 - 2 - 9 + 64*m**2 - 6*m. What is the units digit of q(o)? 9 What is the units digit of ((-1053)/36 - -27)/(2*(-1)/15888)? 4 Let f = 50538 - 31626. What is the thousands digit of f? 8 Let c = 88 + -131. What is the tens digit of (-2 - c)/(-5 - (-392)/77)? 5 Suppose -2*w + 15798 = -4*h, 38*w = 35*w - h + 23662. What is the units digit of w? 9 Suppose -447 = -6*i + 783. Suppose x = 4*x + h + i, 2*h - 73 = x. Let b = x + 231. What is the tens digit of b? 6 Suppose -8*i + 10*i = 4. Let n be ((-80)/3*-3)/(i/4). What is the hundreds digit of (-4 - -1)*(n/(-3) + 3)? 1 Let v(r) = 39*r**2 + 57*r - 693. What is the tens digit of v(16)? 0 Let g be -2 + (696/1)/3. Suppose -v - 30 = -32, 5*d = -5*v + 40. What is the hundreds digit of ((-114)/15 + d)/((-2)/g)? 1 Let r(a) = -a + 16. Let i be r(-6). What is the tens digit of ((-32)/i)/(-8) + (-11282)/(-22)? 1 Suppose -2*f = 4*w - 14, 3*f + f - 12 = 0. Let s be ((-3)/w)/((-5)/30). What is the units digit of (6 + -26)/(0 - 2/s)? 0 Suppose 755714 = 40*w - 78872 - 787214. What is the thousands digit of w? 0 Let a = -193 + 85. Let j = a - -199. What is the tens digit of j? 9 Suppose 0 = -61*o - 70155 + 284047 + 188891. What is the thousands digit of o? 6 Let t = -33145 + 48571. What is the ten thousands digit of t? 1 Let o = 5 + 5. Suppose -3*s - o = 20. Let i(r) = -17*r - 55. What is the hundreds digit of i(s)? 1 Let n(o) = 96*o + 621. What is the units digit of n(34)? 5 Let v(h) = -h**3 - 48*h**2 - 101*h - 129. What is the ten thousands digit of v(-58)? 3 Let l(g) = g**2 + 5*g - 3. Let j(x) = 2*x - 6. Let r be j(4). Let h be l(r). Suppose -5*o + h*o - 396 = 0. What is the units digit of o? 6 Suppose 2*g = 0, g = -4*z - 7*g + 18432. What is the hundreds digit of z? 6 Let m = 101 - 979. Let v = 371 - m. What is the tens digit of v? 4 Suppose 0*b - 55 = -5*b. Let u = b - -35. Let f = u - 43. What is the units digit of f? 3 Suppose 4*r + 10*f - 6*f - 2304 = 0, 5*r - 2884 = -3*f. Let q = 18 + r. What is the hundreds digit of q? 5 Suppose -76*i - 6 = -79*i. Suppose -2*p - 33 = -s - 4*p, -5*s + 2*p + 201 = 0. What is the tens digit of s*(i/7 - 232/(-168))? 6 Let d(b) = -6*b**2 - 150*b + 39. Let j be d(-25). Suppose y - 3*g + 127 = -8*g, -3*g + 159 = -y. Let o = j - y. What is the hundreds digit of o? 1 Let m(a) = 92*a - 38. Let r be m(4). Let o = r - 256. What is the units digit of o? 4 Let t(p) = -24*p - 259. Let n be t(29). Let l = n + 2185. What is the hundreds digit of l? 2 Let k be 4 + (-20)/5 + -1. Let l be (-20)/(-6)*12*k/(-8). Suppose -198 - 167 = -l*c. What is the tens digit of c? 7 Suppose 78599 = -20*j + 317119. What is the units digit of j? 6 Let d be ((-1632)/36 - 8)/(1/3). What is the tens digit of d/((-46)/112 + 8/28)? 8 Suppose 8*m + 11*m = 97059 + 58665. What is the thousands digit of m? 8 Suppose -4*w - 8*n = -13*n - 2799, w - 705 = -4*n. What is the hundreds digit of w? 7 Let p be (2/2)/(2/12*-3). What is the hundreds digit of 0 - 257*p - (2 + -4)? 5 Let l(h) = -14*h. Let z be l(1). Let t = z - 6. What is the tens digit of (-16)/(-2 - 35/t)? 6 Let m = -958 - -1834. Suppose -m*q - 3913 = -883*q. What is the units digit of q? 9 Suppose -2*d = -0*q + 3*q + 32, 4*d = 4*q - 24. Let o be (-3 - 17)*d/4 - 1. What is the units digit of 14/o + 24/14? 2 Let b(u) = -5*u + u + 3 + 2*u + 33. Let m be b(18). Suppose -4*n + 6*n - 98 = m. What is the units digit of n? 9 Suppose -335 = -6*w + 49. Let k = w + -58. Suppose k*g - 5*g - 49 = 0. What is the tens digit of g? 4 What is the units digit of (-256077)/(-7) - 23*90/4830? 2 Let d = 11 - -5. Suppose 0 = -13*v + d*v - 57. Suppose -z + 2*z = -2*a + v, -21 = -z - a. What is the tens digit of z? 2 Suppose -4*w + 168648 = 3*n + n, 4*n - 20 = 0. What is the units digit of w? 7 Let h(v) = -2*v**2 - 39*v + 4. Suppose -2*p + 5*p + 49 = 2*m, 4*m = -p - 35. What is the units digit of h(p)? 3 Suppose -17 = -4*m + 199. Suppose m*z - 41*z - 11791 = 0. What is the hundreds digit of z? 9 What is the ten thousands digit of 54 + (-12307581)/(-584) - (-1)/((-16)/(-6))? 2 Let g(w) = 5*w**2 - 22*w - 8. Let i be g(-7). Let c = 407 + i. What is the tens digit of c? 9 Suppose 16761 = 4*a + s, -5*a - 3*s + 4*s + 20949 = 0. What is the units digit of a? 0 Suppose -2*a + 289 + 9 = i, -884 = -3*i - a. Suppose 5*s + s - i = 0. Let c = 77 - s. What is the tens digit of c? 2 Let l be -3 + 7 + (-2)/(-2)*-5. What is the tens digit of -75*(-2 + l)*1? 2 Suppose -3*m + 4*m = 4*d + 11, 0 = -m + 3*d + 15. Suppose -m*t - 14529 + 43473 = 0. What is the units digit of t? 2 Let j be -24*-3*53/(-9). Let h = 173 - j. What is the tens digit of h? 9 Suppose -w - 3829 =
{ "pile_set_name": "DM Mathematics" }
3522, -3594? -3698 What is the next term in -222, -186, -150, -114? -78 What comes next: -236, -192, -126, -44, 48, 144, 238? 324 What is next in 3683, 3681, 3679, 3677, 3675? 3673 What is the next term in -440, -442, -444, -446, -448? -450 What is the next term in -8, -161, -542, -1265, -2444, -4193, -6626, -9857? -14000 What comes next: -132, -265, -398? -531 What is next in -23, -26, -29? -32 What is the next term in -104, -270, -714, -1574, -2988? -5094 What is the next term in 122, 258, 418, 614, 858, 1162? 1538 What is next in 13, 29, 79, 181, 353, 613? 979 What is next in -461, -913, -1365, -1817, -2269? -2721 What is the next term in 19, 26, 37, 52, 71? 94 What is next in 23, 8, -15, -52, -109, -192, -307, -460? -657 What is the next term in -81, -153, -235, -333, -453, -601, -783, -1005? -1273 What is the next term in 66946, 66947, 66948? 66949 What is the next term in -54, -84, -100, -96, -66, -4, 96? 240 What comes next: 105, 174, 245, 318, 393, 470, 549? 630 What comes next: -58, -111, -162, -211, -258? -303 What comes next: -9, 7, 47, 117, 223, 371? 567 What is the next term in -14, 2, 30, 70, 122, 186? 262 What is next in 32, 131, 304, 557, 896? 1327 What is the next term in -1, -3, -1, 5? 15 What is the next term in -85, -174, -265, -358, -453, -550, -649? -750 What is next in -2, 23, 72, 151, 266, 423, 628, 887? 1206 What comes next: -151, -183, -219, -259, -303, -351? -403 What is next in -1900, -1907, -1926, -1963, -2024? -2115 What is next in 63, 80, 109, 150, 203, 268? 345 What comes next: -190, -222, -270, -340, -438, -570, -742? -960 What is next in -28476, -28477, -28478, -28479? -28480 What comes next: -27, -44, -61, -78? -95 What is next in -68, -143, -236, -353, -500, -683, -908, -1181? -1508 What comes next: 10, 24, 60, 130, 246, 420? 664 What comes next: 38591, 38590, 38589, 38588, 38587? 38586 What is next in 24, 28, 42, 66, 100, 144, 198? 262 What is the next term in 121, 209, 297, 385? 473 What comes next: -309, -317, -317, -303, -269, -209? -117 What is next in 27, 97, 213, 381, 607, 897? 1257 What comes next: -170, -704, -1594, -2840, -4442, -6400? -8714 What comes next: -44, -131, -280, -521, -884, -1399, -2096, -3005? -4156 What is the next term in 58, 107, 156, 205, 254, 303? 352 What is the next term in -91, -166, -243, -322? -403 What is next in -5006, -5007, -5010, -5015? -5022 What comes next: 40, 42, 12, -62, -192? -390 What is the next term in -31, 91, 203, 299, 373, 419, 431, 403? 329 What is next in -2526, -5047, -7558, -10053, -12526? -14971 What is the next term in 59, 242, 545, 968? 1511 What is next in -434, -433, -432, -431, -430, -429? -428 What comes next: -16, -55, -94, -133? -172 What is the next term in 380, 760, 1140, 1520, 1900? 2280 What comes next: 9, 15, 21, 27, 33? 39 What comes next: -13, -17, -7, 23, 79, 167, 293? 463 What comes next: 21, 63, 127, 219, 345, 511? 723 What is next in -549, -543, -525, -489, -429, -339, -213? -45 What is the next term in -2052, -4099, -6144, -8187? -10228 What is the next term in 909, 907, 905, 903, 901? 899 What comes next: -15, -37, -93, -201, -379? -645 What is the next term in -59, -61, -63? -65 What comes next: -26, -12, 6, 22, 30, 24? -2 What comes next: 25, 25, 23, 19? 13 What is next in -4, 16, 36, 44, 28, -24, -124? -284 What is the next term in -83, -166, -251, -338, -427? -518 What is the next term in -976, -1947, -2918? -3889 What comes next: -90, -142, -194, -246, -298, -350? -402 What comes next: -110, -206, -302, -398, -494, -590? -686 What is next in -168, -176, -190, -210, -236, -268, -306? -350 What is the next term in -82, -90, -102, -118? -138 What is the next term in 22, 12, -48, -182, -414, -768, -1268, -1938? -2802 What comes next: 6, -19, -62, -123, -202, -299? -414 What comes next: 70, 81, 92, 103, 114? 125 What is next in -344, -668, -994, -1322, -1652? -1984 What comes next: -17, -98, -245, -464, -761? -1142 What is next in 338, 404, 470, 536, 602, 668? 734 What comes next: -5098, -5109, -5134, -5179, -5250, -5353, -5494? -5679 What is the next term in -80, -77, -64, -35, 16? 95 What comes next: -26245, -26241, -26235, -26227, -26217? -26205 What is next in -67, -131, -195, -259, -323? -387 What comes next: -1083, -1081, -1079, -1077? -1075 What is next in -119, -105, -81, -47, -3, 51, 115? 189 What is next in 264, 530, 796, 1062? 1328 What is the next term in 128, 259, 386, 509, 628? 743 What comes next: 116, 117, 118? 119 What comes next: 2, -4, -24, -64, -130, -228? -364 What is next in 71104, 71105, 71106, 71107, 71108? 71109 What comes next: -175, -363, -527, -655, -735, -755? -703 What is the next term in 6, -2, -36, -108, -230? -414 What comes next: 713, 717, 723, 731? 741 What is next in 13, 39, 79, 139, 225, 343, 499? 699 What is next in 58, 74, 92, 112, 134? 158 What comes next: -132, -263, -380, -477, -548, -587, -588, -545? -452 What comes next: 807, 1627, 2457, 3303, 4171? 5067 What is the next term in 83, 79, 75? 71 What comes next: 75, 69, 53, 21, -33, -115? -231 What is next in -2037, -2032, -2023, -2010, -1993? -1972 What comes next: 3, 33, 107, 243, 459, 773? 1203 What is the next term in 46, 101, 158, 217, 278? 341 What is the next term in -1271, -1270, -1269, -1268? -1267 What is next in 20, 44, 68, 92, 116, 140? 164 What is the next term in -675, -1350, -2025, -2700, -3375, -4050? -4725 What is the next term in -25, -113, -259, -463, -725? -1045 What is the next term in -4233, -8469, -12705, -16941? -21177 What is the next term in 53, 186, 417, 752, 1197, 1758, 2441? 3252 What is next in 198, 220, 258, 312, 382, 468? 570 What is the next term in 3, -6, -25, -60, -117, -202? -321 What is the next term in 309, 297, 261, 189, 69, -111, -363? -699 What comes next: 4, -24, -76, -146, -228, -316, -404? -486 What is next in -4063, -4064, -4065? -4066 What is next in 17773, 35545, 53317? 71089 What comes next: 153, 158, 167, 180, 197? 218 What is the next term in -189, -246, -303, -360, -417? -474 What is next in 201, 402, 603, 804, 1005? 1206 What is next in -23, -110, -257, -464, -731, -1058? -1445 What comes next: 30, 51, 70, 87, 102, 115? 126 What is the next term in 1839, 1832, 1811, 1770, 1703, 1604, 1467, 1286? 1055 What comes next: 7, -95, -275, -539, -893, -1343, -1895? -2555 What is the next term in -24, -67, -146, -267, -436, -659, -942? -1291 What is the next term in 13, 14, 15? 16 What is the next term in 229, 460, 691, 922, 1153? 1384 What is next in -16, -89, -162, -235, -308, -381? -454 What is next in -22, -58, -108, -178, -274, -402? -568 What is the next term in -25, -37, -41, -31, -1? 55 What comes next: -488, -491, -494, -497? -500 What is the next term in 51, 54, 71, 108, 171, 266? 399 What comes next: -30, -116, -270, -498, -806, -1200? -1686 What is next in 796, 1589, 2382, 3175? 3968 What is next in 124, 239, 342, 427, 488, 519, 514? 467 What is the next term in 29, 40, 57, 80, 109? 144 What comes next: -8436, -16869, -25292, -33699, -42084, -50441, -58764? -67047 What comes next: 205, 198, 201, 220, 261, 330, 433? 576 What is the next term in -47, -101, -155? -209 What is the next term in 11, 6, 1, -4? -9 What is the next term in -8, -17, -38, -77, -140, -233? -362 What is next in 491, 1981, 4465, 7943, 12415? 17881 What is next in -141, -568, -1281, -2280, -3565, -5136, -6993? -9136 What is next in 114, 260, 464, 756, 1166, 1724? 2460 What is the next term in -143, -289, -435, -581, -727, -873? -1019 What is the next term in 58, 74, 100, 136? 182 What is next in -100, -338, -740, -1312, -2060, -2990? -4108 What comes next: -6752, -6750, -6748? -6746 What comes next: -81, -114, -191, -330, -549, -866, -1299? -1866 What comes next: -138, -137, -136, -135, -134? -133 What is the next term in -30, -12, 32, 114, 246? 440 What is the next term in 62, 66, 60, 38, -6, -78? -184 What is the next term in -104, -214, -324, -434? -544 What is the next term in 24, 49, 94, 171, 292? 469 What is next in 35, -31, -93, -151? -205 What comes next: -17, -4, 5, 4, -13, -52, -119? -220 What is the next term in 26, 46, 62, 74, 82, 86, 86? 82 What is next in 8, 19, 30, 41, 52, 63? 74 What comes next: -2650, -5298, -7946? -10594 What is next in 463, 451, 417, 349, 235? 63 What is the next term in -7459, -
{ "pile_set_name": "DM Mathematics" }
31) to b + l*f and give b. 105 Rearrange (-9*l + l + l - 3*l + 4*l + l + 1 + 3*l - 1 + (-2 + 5 - 1)*(l + 0*l + l) + 1 - l - 1)*(-2*l - 2*l + 3*l) to the form v*l + z*l**2 + c and give z. -1 Rearrange (2*x - 6*x + x)*(-1 + 1 + 885*x**2 - 847*x**2) to z + w*x**3 + h*x**2 + m*x and give w. -114 Express 3*t**2 + 0*t**3 - 1 - 15*t**4 + 9*t**4 + t**3 in the form y*t**4 + n*t**3 + r + g*t + q*t**2 and give q. 3 Rearrange -16*k - 2*k**4 - 2*k**4 - 3*k**2 + 6*k**4 + 21*k - 2*k**3 to the form i*k**2 + y + p*k**3 + b*k**4 + o*k and give p. -2 Express 2*a**3 + 2*a**4 - 15*a**2 - 4*a**2 - 4*a**4 - 40 + 38 in the form q*a**2 + o*a**3 + d + p*a + h*a**4 and give h. -2 Rearrange 5 - 3 + 0 - 2*d to n + l*d and give n. 2 Express 2*l**2 - 101*l + 103*l + 5*l**2 as a*l**2 + h + d*l and give a. 7 Express (-2*o + 3*o - 3*o)*(-7 + 2 + 3) in the form u*o + n and give u. 4 Rearrange (-4*q + 2 - 2)*(-5 + 4 + 1 - 63*q) to the form v + h*q**2 + c*q and give h. 252 Rearrange (-17*q + 40*q + q)*(0*q + 5*q - 3*q) to o*q**2 + f*q + l and give f. 0 Express -2*h**2 + h**2 - 4*h**3 + 0*h**3 in the form z*h**3 + g + l*h + o*h**2 and give z. -4 Express -2*u**4 + 14 - 2*u**3 + 2*u**3 - 7*u**2 + 5*u**2 as x + i*u + j*u**2 + p*u**4 + l*u**3 and give x. 14 Express (4 + 1 - 4 + (-2 - 2 + 2)*(0 - 2 + 1) - 5 + 3 - 6)*(-g - g + 3*g)*(2 + 1 - 2) in the form r*g + w and give r. -5 Rearrange (0*s**2 - 2*s**2 + 3*s**2)*(2*s - 2*s + 3*s) - 2*s**3 - 4*s**2 + 4*s**2 + (-3 - s**3 + 3)*(-5 + 1 + 6) to d*s + m + b*s**3 + z*s**2 and give d. 0 Express -323*i**2 + 323*i**2 + 118*i**3 + (3 - 2 + 1)*(-2*i**3 - i**3 + i**3) as p*i + o + c*i**3 + y*i**2 and give c. 114 Express (-5*i + 4 - 4)*(0*i**2 + 0*i**2 + i**2)*(-3*i + 3*i + 3*i) in the form k*i**4 + p + t*i + w*i**3 + d*i**2 and give k. -15 Express (7 + 4 - 44)*(0*l + l + 3*l + (2 + 0 + 0)*(2*l + l - l)) in the form d + m*l and give m. -264 Rearrange 87*i**2 - 73*i**2 - 56*i**2 to r*i + h*i**2 + f and give h. -42 Express (1 + 1 - 12)*(z**2 + 2*z - 2*z) as u + a*z**2 + n*z and give a. -10 Rearrange 112 - 55 - 58 + 4*x**3 + 7*x**2 to o*x + g*x**2 + j + n*x**3 and give o. 0 Rearrange -25*c + 89*c - 48*c to x*c + s and give x. 16 Rearrange (5*z**4 - 2*z**4 + 0*z**4)*(13 - 20 + 9) to the form v*z + p*z**3 + j*z**4 + d*z**2 + x and give j. 6 Rearrange (1 + 1 - 3)*(2*t**2 - t**2 + 0*t**2) + 22*t - 22*t - 15*t**2 + (1 + t - 1)*(-t - 3*t + 5*t) to the form p*t**2 + i*t + y and give p. -15 Rearrange (3*z - 5*z + 7*z)*(3 - 4 + 0)*(0*z - 2 - z + 1) to j*z + i*z**2 + x and give i. 5 Express 0*v - 396*v**3 + 21*v**2 + 397*v**3 + 0*v as j*v**3 + x*v**2 + h + i*v and give x. 21 Express (-2 - 3 + 1)*(0*x - 2*x + 0*x)*(-4 + 4 - 2) in the form y*x + s and give y. -16 Rearrange 44*v - 4*v - 18*v to s + o*v and give o. 22 Rearrange -9 - 30*x + 5*x + 11*x + 12*x to the form h*x + j and give j. -9 Rearrange ((-2*l + 5*l - 4*l)*(1 - 4 + 5) + l - 2*l - 2*l + 2*l + 3*l + 0*l + (0 - 2 + 1)*(l + 1 - 1))*(0 + 2 - 1) to a*l + c and give a. -1 Express -16*n**2 - 24*n**2 + 8*n**2 as o + b*n + m*n**2 and give m. -32 Express 3*w**4 + 23*w**2 - 2*w - 2*w**2 + w**3 - 27*w**2 + 2 in the form a*w**4 + r*w**3 + o*w + k*w**2 + h and give r. 1 Express -9*s - 1 + 23*s - 2*s**3 - 10*s in the form z + y*s + t*s**2 + n*s**3 and give n. -2 Rearrange 1 - 75*s**3 - 3*s**2 + 2*s**2 + s**2 to the form c*s**3 + j*s**2 + a*s + f and give c. -75 Express -23*x**2 + 0*x - x + x in the form y + d*x + u*x**2 and give u. -23 Express (-w**2 - 2*w**2 + 4*w**2)*(1 + 2 - 4) + (-3*w + 8*w + 4*w)*(-2 + w + 2) in the form p + d*w + j*w**2 and give j. 8 Rearrange 4 - 2 + 4 - 9*z - 2 to the form d*z + j and give j. 4 Express -8*l**2 - 6 + 2*l - 4 + 8 in the form c*l**2 + k + b*l and give c. -8 Express (2 + 1 + 3)*(6*x - 3*x - 4*x - x + 0*x + 3*x + (3 - 2 - 2)*(-x - 5*x + 4*x) - 2*x - 2*x + 3*x) as u*x + i and give u. 12 Express (0*p + p - 2*p)*(31*p - 43 + 43 - 3*p + 3*p - p + (0 + 0 - 1)*(-p + 0*p + 2*p)) as c*p + h*p**2 + f and give h. -29 Express (2 - 2 + 3)*(-416 + 416 + 12*p)*(-p - 2*p + 2*p) in the form k*p + j + u*p**2 and give u. -36 Express -2*x + 0*x + x**4 - 2*x**4 - x**4 + 3 - 2*x**3 - 2*x**2 as j*x + h*x**2 + c*x**4 + r + d*x**3 and give c. -2 Rearrange ((0*o + 2*o - o)*(3 - 3 + 2*o**2) - 4*o**2 + 4*o**2 + o**3)*(-3 - 2 - 2) to h*o + d*o**2 + g + q*o**3 and give q. -21 Express (4 - 10 - 3)*(9 - 9 + w) as c*w + r and give c. -9 Express (-6 + 2 + 4 + 1)*(-10 + 10 - 3*o) as a*o + w and give a. -3 Express 621 + 19*t - 621 in the form u*t + y and give u. 19 Rearrange 93*w - 93*w + w**3 + 14 to the form b + c*w**2 + i*w**3 + u*w and give b. 14 Rearrange 3 + 9*d**2 + 0 - 4*d**2 + 0*d**2 to v*d**2 + b*d + y and give y. 3 Rearrange 94*v**2 + 3 - 2*v**3 - 3*v - 88*v**2 - 1 to k*v + h + d*v**3 + g*v**2 and give k. -3 Express (0*q - 2*q + 0*q)*(-8 - 7 - 16)*(0 - 1 + 3) as m*q + j and give j. 0 Rearrange -2*q**4 + q**4 + 9*q**4 + (2*q**4 + q**4 + 0*q**4)*(-2 + 4 - 4) to j*q**2 + b*q + y*q**4 + g*q**3 + s and give y. 2 Rearrange -1 + 2*f**3 + 3 + f**4 - 26*f + 29*f to i*f + v*f**2 + s*f**4 + o + a*f**3 and give i. 3 Express -7 + k**3 + 9*k**2 - 2*k + 13*k**2 - 29*k**2 + 5*k**2 as a + j*k**3 + g*k + f*k**2 and give j. 1 Express -4*d**3 - 13*d + 13*d - 2*d**4 + d**2 + 1 in the form l*d**4 + x*d + v*d**3 + a*d**2 + r and give v. -4 Express (4 - 2 - 5)*(t**3 - t**3 - 2 + t**4) as a*t + f*t**3 + r + j*t**4 + d*t**2 and give d. 0 Express (1 - t - 1 + t**2)*(t**2 + 4*t**2 - 2*t**2) as a + y*t**2 + g*t**4 + x*t + w*t**3 and give a. 0 Rearrange -46*n**2 - 525*n + 10*n**2 + 525*n to the form g*n + r*n**2 + j and give g. 0 Express -2*c - 5 + 18*c**2 - 20*c**2 - 10 + 5 as n + g*c + l*c**2 and give g. -2 Rearrange (-2*p - p + 4*p)*(-51 + 51 + 10*p)*(3*p - 2*p - 2*p) to the form t*p + s + j*p**3 + a*p**2 and give s. 0 Express 86*a**3 + 2*a - 88*a**3 - 3*a - 3*a**2 + a**2 as r*a + t + y*a**2 + d*a**3 and give d. -2 Rearrange -10*z - 6*z + 16*z + 62*z**2 to i*z**2 + r*z + j and give j. 0 Rearrange (z - 1 + 1)*(z + 0*z - 3*z) - 4*z**2 - 2*z**2 + 5*z**2 + z**2 - z**2 - 2*z**2 - 3*z**2 + z**2 - 4*z**2 to h*z + b*z**2 + i and give b. -11 Express -14*l**2 + l + 58*l**3 - 3 - 30*l**3 - 29*l**3 as p + d*l**3 + f*l**2 + x*l and give d. -1 Rearrange (-115 + 55 - 153)*(4 + 2*k**2 - 4) to the form f*k + j*k**2 + c and give j. -426 Express (-20*a + 25*a - 75*a - 184*a)*(3*a**3 - 6*a**3 + 2*a**3) in the form d*a**3 + u*a + o*a**2 + f*a**4 + y and give f. 254 Rearrange 0*j + j - 2*j + j + 0 + 0 - 3*j + 2*j - j + (1 + 1 + 0)*(3*j - 2*j - 3*j) - 12*j + 31*j + 9*j to the form y*j + k and give y. 22 Rearrange 4 - 5 + 1 - 3*n to d + w*n and give w. -3 Rearrange 23*l**4 + 3*l - 2*l - l**2 - 25*l**4 - 4*l**2 to p*l**2 + o*l**3 + b + y*l**4 + i*l and give i. 1 Rearrange (0 + 0 - q**4)*(-3 - 3 + 1) to i*q**2 + y*q**4 + p + f*q**3 + c*q and give y. 5 Rearrange (4*n**2 + 11 - 11 + (1 + 2 - 5)*(-2*n**2 + 2*n**2 + n**2))*(-7*n**2 + 3*n**2 + 3*n**2) to z*n + u + w*n**2 + m*n**4 + x*n**3 and give m. -2 Express (3*z - 2*z - 4*z)*(92*z + 142 - 142) as x + w*z + q*z**2 and give q. -276 Rearrange 2*y + 2*y + 2*y**4 - 2*y**3 - 4*y - 4*y to o*y + n*y**3 + z*y**2 + a*y**4 + j and give n. -2 Express -o**4 - 1 + 0 + 3 + (0*o + o + 0*o)*(-8*o**3 - 77*o**3 + 42*o**3) in the form g*o**4 + j*o + b + u*o**2 + z*o**3 and give b. 2 Express (-4*h + 2*h + h)*(-2*h - 3 + 3) - h**2 - 2*h**2 + 0*h**2 + 2*h**2 - 2*h**2 + 7*h**2 in the form k*h**2 + z + c*h and give k. 6 Express (3*w**3 + 3 - 3)*(w + 4 - 4) + 3*w**4 - 2*w**4 + w**4 + 7*w**4 - 8*w**4 + 17*w**4 as i*w**2 + h*w**4 + g + m*w + y*w**3 and give h. 21 Rearrange ((2*i**2 - 2*i**2 - 2*i**3)*(-1 + 4 - 2) - 3*i**3 + 2*i**3 - 3*i**3)*(-2 - 4 - 8) to the form o*i**2 + d + h*i + v*i**3 and give v. 84 Express -2 - 1 + 12*q**4 + 4 - 10*q**4 - 19*q**2 in the form w + c*q**3 + l*q + i*q**2 + z*q**4 and give i. -19 Rearrange 34*x**2 - 143*x**2 + 62*x**2 to h*x**2 + s + y*x and give h. -47 Rearrange (-v - 2*v + 2*v)*(-230*v - 217*v + 23*v - 28*v) to j*v**2 + f*v + h and give j. 452 Rearrange 3*f + 0 + 2*f - 2 - 7*f to h*f + r and give h. -2 Express (4*b - b - 5*b)*(-19*b**2 - 9*b**2 + 5*b**2) in the form q*b**3 + z + g*b + o*b**2 and give q. 46 Rearrange (-5 + 5 - y)*(-y**3 + 0*y + 0*y) - 7*y**4 + 3*y**4 + 2*y**4 + y**2 + y**2 -
{ "pile_set_name": "DM Mathematics" }
.1 (c) 2212/9 (d) 2 (e) -2/5 (f) -4/5 b What is the smallest value in -3/2, 13, 2292.1, -4/3? -3/2 Which is the smallest value? (a) 1/2 (b) 5 (c) -1/4 (d) -0.5 (e) 0.188 (f) 0 d Which is the fifth biggest value? (a) 5 (b) 2 (c) 0 (d) 0.4 (e) -2/3 (f) -13 e Which is the fifth smallest value? (a) 2/3 (b) -3/2 (c) 5 (d) 4 (e) 42/1189 (f) 0.5 d Which is the fourth biggest value? (a) 27 (b) 3/383 (c) -0.3 (d) 4 c What is the third smallest value in 2, 3/7, -2411, 5? 2 Which is the smallest value? (a) 1/2 (b) 3.4 (c) 0 (d) 8/7 (e) -1/2 e Which is the second biggest value? (a) 10 (b) 0.3 (c) 173/8 a What is the fifth smallest value in 0.4, -0.5, -0.09, -0.8, 0.047, -0.4? 0.047 Which is the third biggest value? (a) 0.6 (b) 1/4 (c) 0.4 (d) 0.2 (e) 248.7 (f) -1/3 c Which is the third biggest value? (a) 1 (b) 4 (c) 78 (d) -4/11 a Which is the third biggest value? (a) 4/27 (b) 28/9 (c) -50 c Which is the fourth smallest value? (a) 4 (b) -5 (c) -0.4 (d) 2738/11 (e) -2 a What is the fifth smallest value in -8.87, -7.6, 0.1, 0.5, -3/7? 0.5 What is the fifth smallest value in -6, 0.111, -0.1, -2/15, 53, -1? 0.111 Which is the fifth smallest value? (a) -0.2 (b) -2.6 (c) -2 (d) -55 (e) 0.4 (f) 2/11 f What is the fifth biggest value in -3, 0.2, 2, -2/5, -2, 5/19? -2 Which is the biggest value? (a) 57 (b) 2/9 (c) -2/7 (d) -3/4 a Which is the fourth smallest value? (a) -175.4 (b) -2 (c) -1/3 (d) -0.2 (e) 11 (f) -0.4 c What is the fifth smallest value in -3.5, 0.13, 1, 1/4, -4, -0.03? 1/4 Which is the fourth smallest value? (a) 1 (b) 1/3 (c) -33 (d) 0.1 (e) 7 a Which is the second biggest value? (a) 6 (b) 19 (c) -10 a Which is the second biggest value? (a) 0.1 (b) 2672 (c) 17 c What is the third smallest value in -0.436, -2/9, -42? -2/9 What is the third biggest value in -22.68, 2/11, -3/185? -22.68 Which is the smallest value? (a) 4 (b) 1 (c) 0.0882 (d) 0 (e) 3 (f) 5 d What is the biggest value in 2, 2/43, -5, -113/15? 2 Which is the smallest value? (a) 2/11 (b) 3903 (c) 51 (d) -1/7 d What is the biggest value in 51, 9/8, -123? 51 What is the second smallest value in 3, -5.1, -101.4? -5.1 Which is the biggest value? (a) 2 (b) -1.87 (c) -2 (d) 3 (e) -1/5 d What is the third smallest value in -9, 59692, -4? 59692 What is the second biggest value in -9, 2/5, 4, 0.42, -0.7? 0.42 What is the smallest value in -246, -1/4, -2/9, 0? -246 What is the third smallest value in -923, -16/3, -1, 0.3? -1 Which is the biggest value? (a) -695 (b) 17/5 (c) -13 b What is the fifth smallest value in 0, -1, 1/215, 10, 4? 10 What is the smallest value in 5.3, -3/5, -15, 0, -0.039? -15 What is the fifth biggest value in -5/4, -122, -50, -2/85, 1? -122 Which is the sixth biggest value? (a) -4/57 (b) -2/5 (c) 2/29 (d) 2 (e) -0.2 (f) 9 b What is the biggest value in -0.14, 2/17, 2/9, 4, 5, -43? 5 What is the third smallest value in -1, -2, -0.018, -4? -1 What is the third smallest value in 4/3, -0.2, 11, -550? 4/3 Which is the fifth biggest value? (a) 2/3 (b) 9 (c) 23 (d) 2/17 (e) 3 d Which is the biggest value? (a) -3 (b) -24 (c) -11 (d) 29 d What is the smallest value in -1, -144, -32.7? -144 What is the fourth smallest value in -18, 0.072, -1/5, -0.01, 3? 0.072 Which is the second smallest value? (a) 5 (b) -4 (c) 0.15 (d) -5 (e) -1126 (f) 3 d Which is the biggest value? (a) 18155 (b) 0 (c) 0.184 a Which is the second biggest value? (a) -2/9 (b) -0.056 (c) -0.207 c What is the second biggest value in -317/2, -2/817, 0.1, 2, 1/5? 1/5 What is the fourth smallest value in -234, 0.3, -3/4, 12/7? 12/7 What is the smallest value in -5, -9, 10? -9 Which is the fourth biggest value? (a) 9/361 (b) -2/11 (c) 0.4 (d) 1/3 b What is the fourth smallest value in -1, 2/18485, -7, -0.2? 2/18485 Which is the second biggest value? (a) 0.01 (b) -1 (c) -587 (d) -0.3 d What is the smallest value in 5, -3, -2, -5, -1/17708, -0.3? -5 What is the second smallest value in -5, -0.5, -2/9, -2594, -2/19? -5 Which is the second biggest value? (a) -61592 (b) -11 (c) -2 b Which is the smallest value? (a) -0.2 (b) -3/52 (c) 0.044 a Which is the fourth biggest value? (a) 1/8 (b) 6 (c) 2/9 (d) 3 (e) -6 a Which is the second biggest value? (a) -0.1 (b) 491 (c) -0.3 (d) 0 (e) -6 d What is the third smallest value in -2/11, 3, -52, -1, -4? -1 What is the third biggest value in -1, -18, 0.6, 2, 1/8, -1/4? 1/8 What is the third biggest value in 4, -7, -0.04926, -4? -4 Which is the fourth biggest value? (a) 4 (b) 0 (c) -2/9 (d) -2/3 (e) 326 c What is the second smallest value in -59, 16, 0.7, 3, 0.1? 0.1 Which is the fifth biggest value? (a) -5 (b) 24 (c) 1/3 (d) -3/4 (e) -4/7 a Which is the fourth biggest value? (a) -14 (b) 0.02 (c) -10 (d) 1 a Which is the second biggest value? (a) -0.3 (b) 3 (c) 1/2 (d) 0.1 (e) -1870 (f) -2 c Which is the third biggest value? (a) -13 (b) 1 (c) 24 (d) -0.4 (e) -27 d What is the smallest value in 1, -2/5, 4, -0.027, 0.5, -2? -2 What is the third biggest value in 2, 703909, -0.4? -0.4 Which is the second biggest value? (a) -0.11 (b) 4 (c) -19 (d) 0.2 (e) -6.6 d Which is the fourth smallest value? (a) -24 (b) -2/3 (c) 3355 (d) -1/2 c What is the fifth smallest value in -23/3, 5, 4, -4, 74? 74 Which is the fourth smallest value? (a) -7 (b) -1 (c) -3 (d) -2/7 (e) -0.3 e Which is the fourth biggest value? (a) -1/3 (b) 31 (c) 3/13 (d) 0 (e) 4 d What is the biggest value in -2, 8, 5, -288/5, 4, 0.3? 8 Which is the fourth biggest value? (a) 5 (b) -2 (c) -0.5 (d) 0.072 (e) 3/26 c What is the third smallest value in 2/13, 0.5, 2/21, -5? 2/13 Which is the fourth biggest value? (a) -2.12 (b) 11 (c) -0.3 (d) -1 (e) -3 a What is the smallest value in -0.4, 3, -7434? -7434 What is the third biggest value in 2.94, -2.6, 2/3? -2.6 What is the third biggest value in -596, 2/9, 0.1? -596 Which is the third smallest value? (a) -4 (b) 5 (c) -10915 b What is the second biggest value in 1, -2/3, 0.1083983? 0.1083983 Which is the fifth smallest value? (a) 0.04 (b) 1.2 (c) -192 (d) 2/9 (e) -0.4 (f) 0.2 d What is the smallest value in -58, -0.2, -1, -5, 39.6? -58 Which is the fourth biggest value? (a) 50 (b) -0.3 (c) 5 (d) -1 d What is the fifth biggest value in 3/8, -17, 0.2, -0.4, -3? -17 What is the fifth biggest value in -0.5, -15, 0.4, 1, 0, -2/103? -0.5 What is the second biggest value in -3532, 0.07, -0.2? -0.2 What is the fourth smallest value in -1, -1111, 1, -52, 2? 1 What is the third biggest value in -4, 0.3, 83, 303/2, -1? 0.3 Which is the third biggest value? (a) -179 (b) -123 (c) 1/3 a Which is the smallest value? (a) -0.4 (b) 1/9 (c) -2 (d) 3/35 c Which is the third smallest value? (a) -2.5 (b) -0.2 (c) -1/4 (d) -14 (e) -5 (f) 3 a What is the third biggest value in 3/13, 54, -8? -8 Which is the second smallest value? (a) 43 (b) -44/9 (c) -2/9 (d) 3 (e) 4 c What is the smallest value in 1.3, -7/3, -0.4, -0.5, 3? -7/3 What is the third smallest value in -0.3, 3, -1, 4, -0.091? -0.091 Which is the third smallest value? (a) -2/5 (b) -1 (c) 558 (d) -18 a What is the smallest value in 37/3, 2/3, 32, -0.3, 1? -0.3 What is the second smallest value in 8/12395, -2/7, 4? 8/12395 Which is the fourth biggest value? (a) 0.4 (b) 0.6 (c) -1.5 (d) -1.3 c Which is the third biggest value? (a) -28/11 (b) -2/7 (c) 1 (d) -0.1 (e) 2/7 (f) 0.01 f What is the smallest value in 3378, -0.4, 54.9? -0.4 What is the fourth biggest value in -2/9, -2, -8, 1536? -8 What is the third biggest value in 12, 654, 17.7? 12 What is the biggest value in -0.0802, 269, 0.3, 0? 269 What is the biggest value in 5, -4, -0.6, 2/15, 6, -2/7? 6 Which is the second biggest value? (a) -3/7 (b) 1 (c) -1613.5 a Which is the fourth biggest value? (a) -4 (b) -2/11 (c) 1 (d) 2/11 (e) 100 (f) 4 d Which is the second biggest value? (a) -1.7 (b) 0.5 (c) 5 b What is the fifth smallest value in 2/5, 1/5, 4/3, -1/338, -83.8? 4/3 Which is the fourth biggest value? (a) 0 (b) -0.46 (c) -5/6 (d) -4 (e) 0.2 c Which is the second smallest value? (a) -1493 (b) -3/5 (c) 20 b What is the third biggest v
{ "pile_set_name": "DM Mathematics" }
e 8, what is -5406306 + -105? -5406413 In base 5, what is 20020102 + 21320? 20041422 In base 12, what is 27455a71 - 5? 27455a68 In base 12, what is 12294 + 1489? 13761 In base 12, what is 3 - -16123b89? 16123b90 In base 16, what is -2be1b - 84? -2be9f In base 4, what is 11 - -1000203011303? 1000203011320 In base 5, what is 3422423322 - -10? 3422423332 In base 10, what is 482026 - 60? 481966 In base 16, what is -a + 262dfe? 262df4 In base 9, what is -14 + 665488? 665474 In base 3, what is -1021000112 + 10201? -1020212211 In base 3, what is 210110201001022121 - -2? 210110201001022200 In base 14, what is 90 + 5442a6? 544356 In base 11, what is 1347 - 30297? -29a50 In base 10, what is 12810 + 743? 13553 In base 11, what is 4 - 191a3447? -191a3443 In base 9, what is 321 + 502302? 502623 In base 13, what is -91 - 8441? -8502 In base 3, what is 201112212210112 - -112? 201112212211001 In base 6, what is -10 + -113532233? -113532243 In base 9, what is 6221 - -2224? 8445 In base 10, what is 0 - -7483883? 7483883 In base 14, what is -3 - a9dc38? -a9dc3b In base 6, what is 52300 - 201002? -104302 In base 11, what is 1 + 85a530? 85a531 In base 16, what is 3 - -49e5b? 49e5e In base 5, what is 13432321243 - 0? 13432321243 In base 14, what is 5b9907 + 1? 5b9908 In base 13, what is -4572 + 6a63? 24c1 In base 2, what is 10111000010000101111011 - 1010? 10111000010000101110001 In base 7, what is 4310050 - 6112? 4300635 In base 3, what is 11 - -2021022122111000? 2021022122111011 In base 2, what is -100111101 - 1000001101110010? -1000010010101111 In base 4, what is -112212 - -3103? -103103 In base 7, what is -23644326 + -16? -23644345 In base 9, what is 58 - -340288? 340357 In base 4, what is -112303 - 211203200? -211322103 In base 14, what is cc7c2d39 - -5? cc7c2d40 In base 4, what is -10 + -11033100002? -11033100012 In base 3, what is -2012022211021 - 120022? -2012100101120 In base 5, what is 132114 + -10342? 121222 In base 6, what is -5320114 + 15? -5320055 In base 5, what is -1202031011204 - -4? -1202031011200 In base 10, what is -10787 + 20158? 9371 In base 11, what is a - -14243520? 1424352a In base 9, what is -14 + 1014876? 1014862 In base 11, what is 817 - 17402? -16696 In base 2, what is 10110010110001100110000 - -10? 10110010110001100110010 In base 6, what is 5 - -15325231231? 15325231240 In base 12, what is 2338303 + 14? 2338317 In base 13, what is -90 + 3387c? 337bc In base 16, what is -49e4 - -84d? -4197 In base 10, what is 73 - -1072826? 1072899 In base 12, what is -174217 - 479? -174694 In base 13, what is -13346 - -240? -13106 In base 13, what is 3 - 2ccc72? -2ccc6c In base 15, what is bc2e454 - 1? bc2e453 In base 2, what is 111 + -11100101000110000011101? -11100101000110000010110 In base 16, what is -2 + d11240? d1123e In base 8, what is -42064143 - -3? -42064140 In base 3, what is 2020201200 - -1221110? 2022200010 In base 13, what is b - -12195a? 121968 In base 14, what is 2508 - 68? 2480 In base 14, what is 6 - -7065c32? 7065c38 In base 15, what is -14cd4b1 - 2? -14cd4b3 In base 11, what is -3a - -724897? 724858 In base 12, what is -34683 - 65a? -35121 In base 13, what is -773b13 - -57? -773a89 In base 2, what is 11 + 11110011011001100111101? 11110011011001101000000 In base 11, what is -32460 - 37a0? -36150 In base 3, what is 12010200110110 + 12? 12010200110122 In base 3, what is -12 - -2220010202021? 2220010202002 In base 4, what is 3 + 2002021230223? 2002021230232 In base 8, what is -1 - -3554563? 3554562 In base 12, what is -7963b8 - -37? -796381 In base 13, what is -2 + -17998cc? -1799901 In base 4, what is 301300 + 2103203? 3011103 In base 4, what is -20222210330 + -1121? -20222212111 In base 11, what is -4253 + -5598a? -5a132 In base 16, what is 15 - -93ee7? 93efc In base 3, what is 20122121010021211 - -1? 20122121010021212 In base 6, what is -1402503030 - 101? -1402503131 In base 14, what is 1c655215 - -4? 1c655219 In base 8, what is -33130 - -37340? 4210 In base 16, what is 26 + -35c6? -35a0 In base 11, what is -7828a9 - 3? -782901 In base 6, what is -1525 + 31014040? 31012111 In base 11, what is 22a93839 + 0? 22a93839 In base 8, what is 1104041206 - -3? 1104041211 In base 2, what is 10100 + 101000110000110111000? 101000110000111001100 In base 15, what is 43ac8a + 15? 43aca0 In base 12, what is -16 + -1172412b? -11724145 In base 13, what is -1c + ba8529? ba850a In base 13, what is 1 - -658ca884? 658ca885 In base 10, what is -1222 + 96950? 95728 In base 6, what is 104525 - 142042? -33113 In base 2, what is -100 + 101011011110111100100? 101011011110111100000 In base 2, what is -111010001001100100111001010 + 10? -111010001001100100111001000 In base 14, what is -249d - 1152b? -139ca In base 8, what is -5 - -5605272? 5605265 In base 7, what is -32 - -13314313? 13314251 In base 13, what is -c43529 - 1? -c4352a In base 12, what is -3 + -6114754a? -61147551 In base 4, what is 11 + -1201112000030? -1201112000013 In base 2, what is -1010010000 + -100111010101100011000? -100111010110110101000 In base 4, what is 23231013 + -133221? 23031132 In base 7, what is 325513402 + -2? 325513400 In base 16, what is -23 + 3e9bf? 3e99c In base 16, what is -fcb886 - 3? -fcb889 In base 2, what is 10000 + -111001111101? -111001101101 In base 12, what is -59 - -6481b7? 64815a In base 16, what is 2558 - 1e? 253a In base 5, what is -132311 + -1014? -133330 In base 11, what is a08a0 - 109a? 9a801 In base 7, what is 23230260 - -10? 23230300 In base 13, what is -2 - -c45298? c45296 In base 5, what is -4241 - -212131? 202340 In base 16, what is 29d615 + 1? 29d616 In base 14, what is 54661 + 2b3? 54934 In base 5, what is 1121030 + -132221? 433304 In base 16, what is -9cdd0 - -172? -9cc5e In base 16, what is f8dd1 + -f? f8dc2 In base 16, what is 72f89 - -1e? 72fa7 In base 13, what is -3c0 + 86b? 47b In base 7, what is 1 + 330164? 330165 In base 14, what is -377 + -27169c? -271a35 In base 15, what is b919 - 14? b905 In base 3, what is -10222211112101 - 201? -10222211120002 In base 12, what is 3 - 22733b39? -22733b36 In base 14, what is 34 - -1bdb30? 1bdb64 In base 7, what is -21515064 + 3? -21515061 In base 9, what is 32 - -1424802? 1424834 In base 10, what is 2015 + 2184? 4199 In base 11, what is -73a914 + 8? -73a907 In base 15, what is d607 - -1dd? d7e5 In base 16, what is 3 - dfb49? -dfb46 In base 4, what is -11 + 1213332010231? 1213332010220 In base 9, what is -5734618 - 2? -5734621 In base 9, what is 1450 + -36304? -34744 In base 6, what is -34034 - 35122? -113200 In base 3, what is 0 - 112012010100100? -112012010100100 In base 7, what is -5 + 62030412? 62030404 In base 11, what is -a0287 + -1465? -a1741 In base 15, what is 29 + ca00? ca29 In base 3, what is 11 - -12100010122021? 12100010122102 In base 14, what is -24 + 70a54? 70a30 In base 14, what is cbb + -40b7? -31da In base 7, what is 4 - 1222450420? -1222450413 In base 6, what is 30304052 - 3? 30304045 In base 9, what is 82362 - 36? 82325 In base 10, what is 1194977 + -16? 1194961 In base 6, what is 34 - 1033302201? -1033302123 In base 5, what is -1011302 + -41333? -1103140 In base 13, what is -10699 - 1cb? -10897 In base 2, what is -1000100 - -100100000100? 100011000000 In base 13, what is 12 - 2aa70c6? -2aa70b4 In base 14, what is -1ad - 2a27? -2bd6 In base 13, what is -194818 - -3cb? -19441a In base 4, what is 221011032323 + -2? 221011032321 In base 10, what is 10468220 + 5? 10468225 In base 6, what is -233203000 - 25? -233203025 In base 15, what is -186b88 + ed? -186a8a In base 13, what is -1 - 92bc82b? -92bc82c In base 15, what is -99ada - -d6? -99a04 In base 10, what is 1646783 + 653? 1647436 In base 7, what is -11622641601 - 3? -11622641604 In base 7, what is -33 + 104130? 104064 In base 4, what is 1 + 101223010? 101223011 In base 8, what is -123536 - -2644? -120672 In base 7, what is -50365 - 2054? -52452 In base 15, what is -2 + -edb1ea5? -edb1ea7 In base 9, what is 2757 - -87600? 101457 In base 11, what is -18 - -1589a4? 158987 In base 15, what is -2c4221b - -4? -2c42217 In base 12, what is -23a8 - 1595? -3981 In base 6, what is 32 + -4503001? -4502525 In base 7, what is 20255426 - 163? 20255233 In base 5, what is -2144 + -13340442? -13343141 In base 14, what is 1923b16 + 1? 1923b17 In base 8, what i
{ "pile_set_name": "DM Mathematics" }
7, what is -63 - 164? -260 In base 9, what is -2015 + 1? -2014 In base 15, what is 2 + -258? -256 In base 2, what is -1000101 + -1010? -1001111 In base 3, what is -10110111 - 10? -10110121 In base 9, what is 3 + 53? 56 In base 9, what is 25 - -132? 157 In base 8, what is 70625 - 4? 70621 In base 16, what is 55 - -1? 56 In base 7, what is -264 + 445? 151 In base 14, what is 97 + -b4? -1b In base 12, what is a3 + 2? a5 In base 12, what is -497 - 30? -507 In base 13, what is 2a3 - 3? 2a0 In base 14, what is 36d - 5? 368 In base 6, what is -22 + -313? -335 In base 11, what is -220 - 13? -233 In base 11, what is aa - 1? a9 In base 8, what is -3 - -2044? 2041 In base 7, what is 3 + 25? 31 In base 13, what is 204 - -1? 205 In base 15, what is -7 + -60? -67 In base 8, what is 512 - 5? 505 In base 8, what is 12 + 17? 31 In base 12, what is -23a4 + 1? -23a3 In base 7, what is -122 - -6? -113 In base 5, what is -1 + -240? -241 In base 16, what is -157 - -7? -150 In base 10, what is 7 - -87? 94 In base 10, what is -1 - -1327? 1326 In base 12, what is 4815 + 0? 4815 In base 15, what is 9a + 3? 9d In base 7, what is -10 - -2203? 2163 In base 16, what is -2 - 70? -72 In base 12, what is 2 - a98? -a96 In base 9, what is 5 + 4? 10 In base 3, what is -1012 - 12? -1101 In base 15, what is -1c - 2? -1e In base 16, what is 1 - -2e? 2f In base 10, what is 4 - -638? 642 In base 14, what is 543 + -5? 53c In base 8, what is 3 - -177? 202 In base 16, what is -2111 - 4? -2115 In base 5, what is -3 - -200? 142 In base 4, what is -2013 + -3? -2022 In base 7, what is 123 - 234? -111 In base 5, what is -3142 + -12? -3204 In base 11, what is -7 - -5? -2 In base 13, what is -24 - -14? -10 In base 7, what is 3 - 1303? -1300 In base 15, what is -1 + 7? 6 In base 16, what is -8d + 47? -46 In base 3, what is -120 + 111211? 111021 In base 12, what is -21 + 5? -18 In base 14, what is -8 + 1cb? 1c3 In base 11, what is -39a - -1? -399 In base 7, what is 5 - 22466? -22461 In base 9, what is 578 - 5? 573 In base 6, what is 5 + -3433? -3424 In base 14, what is 3 + -aa? -a7 In base 6, what is 354 - 12? 342 In base 5, what is 3440 - -2? 3442 In base 15, what is -5 + -209? -20e In base 15, what is -4 - 712? -716 In base 15, what is -1 + -11b? -11c In base 3, what is -112010021 - -1? -112010020 In base 9, what is -3747 + -2? -3750 In base 4, what is 2000 - 112? 1222 In base 8, what is 27 + -152? -123 In base 9, what is -2 + 750? 747 In base 16, what is -10fd + -3? -1100 In base 9, what is -1 + -812? -813 In base 13, what is 8 - -11? 19 In base 11, what is -2 - 139? -140 In base 9, what is 7 + -851? -843 In base 2, what is -1000110 + -1100? -1010010 In base 13, what is -14 + -7? -1b In base 2, what is -11 - 11111100? -11111111 In base 11, what is 16 - 2? 14 In base 6, what is 2 - 35203? -35201 In base 4, what is -23 - -20113? 20030 In base 6, what is 10 + 4? 14 In base 2, what is -100 + -1111110111? -1111111011 In base 8, what is 3 + -347? -344 In base 16, what is -3 - 14? -17 In base 10, what is -3 + 8? 5 In base 4, what is -2 - 2312? -2320 In base 5, what is 13300 - 3? 13242 In base 16, what is 5 + -37? -32 In base 6, what is 4 - 255? -251 In base 12, what is 81b - 16? 805 In base 5, what is -123 + -2142? -2320 In base 15, what is -c1 - -5? -bb In base 12, what is 282 + -2? 280 In base 11, what is -1 + 32? 31 In base 2, what is -1011 - -1? -1010 In base 10, what is 10 + 5? 15 In base 2, what is -101 + -10000110? -10001011 In base 10, what is -18 - 329? -347 In base 13, what is -5 - 39? -41 In base 11, what is 6 - 134? -129 In base 11, what is -1 - 330? -331 In base 8, what is -2745 + -3? -2750 In base 4, what is 102 + -213? -111 In base 8, what is -1 + -77? -100 In base 12, what is 550b + 4? 5513 In base 8, what is 1 + 157? 160 In base 4, what is 20 + -111233? -111213 In base 9, what is -778 + -10? -788 In base 11, what is -7 - -96? 8a In base 6, what is 343 + 1? 344 In base 3, what is -20121 + 11? -20110 In base 14, what is -70 + 2? -6c In base 5, what is -113410 - 4? -113414 In base 6, what is 245 - 3? 242 In base 7, what is -551 + -5? -556 In base 10, what is -3 + -140? -143 In base 8, what is 2 + -124? -122 In base 9, what is 1343 + 0? 1343 In base 3, what is 1101011 - 12? 1100222 In base 8, what is 214 + -411? -175 In base 15, what is 63 + 55? b8 In base 6, what is -12 - 354? -410 In base 3, what is 12 + 12121? 12210 In base 13, what is -2a - -658? 62b In base 12, what is 212 - -8? 21a In base 15, what is -4 - 776? -77a In base 6, what is -14130 - -5? -14121 In base 6, what is 0 - -153? 153 In base 14, what is -78 + -3? -7b In base 5, what is 24 + 2030? 2104 In base 16, what is -5 + b5? b0 In base 8, what is -6 - 27? -35 In base 9, what is 208 + 4? 213 In base 15, what is -434 + -2? -436 In base 16, what is 435 - -5? 43a In base 15, what is 3 - -e35? e38 In base 13, what is 32 - b9? -87 In base 8, what is 3 - 0? 3 In base 14, what is 1161 + -1? 1160 In base 4, what is 1322 - 0? 1322 In base 14, what is 5 + -85c? -857 In base 6, what is -11 + 20? 5 In base 8, what is 12114 + 3? 12117 In base 9, what is -84 + 13? -71 In base 8, what is 141 - -1? 142 In base 9, what is -1 + -325? -326 In base 5, what is 1 - -43? 44 In base 16, what is -6 - -47? 41 In base 16, what is 109c - 5? 1097 In base 6, what is -145 + -11? -200 In base 11, what is 24 - 6? 19 In base 5, what is -1011 + -11? -1022 In base 8, what is 4 + 45? 51 In base 16, what is 673 + 5? 678 In base 16, what is -16a3 - -5? -169e In base 6, what is -433 + -2? -435 In base 11, what is 29 - -37? 65 In base 7, what is -120 - 60? -210 In base 3, what is 20 + -212102? -212012 In base 6, what is 23014 + 0? 23014 In base 11, what is 984 + 3? 987 In base 15, what is 39 - -2? 3b In base 2, what is -1111 - 1001011? -1011010 In base 4, what is -32 + 10? -22 In base 10, what is 35 - -5? 40 In base 8, what is 4 - 1317? -1313 In base 6, what is 435 - 31? 404 In base 12, what is -14a - 1? -14b In base 2, what is 111101011 + 100? 111101111 In base 11, what is -1170 - 8? -1178 In base 16, what is b9 - 4? b5 In base 6, what is 1214 - 5? 1205 In base 16, what is 262 - 1? 261 In base 13, what is 108 - 66? 72 In base 7, what is -3523 - -4? -3516 In base 5, what is -33 + -3? -41 In base 10, what is 6 + 4897? 4903 In base 10, what is 1 + 16? 17 In base 11, what is 0 + -a9? -a9 In base 12, what is 1 + -237? -236 In base 4, what is 20 + -123? -103 In base 14, what is 4 - -18? 1c In base 5, what is -103 + 1231? 1123 In base 4, what is -1 + -3010? -3011 In base 5, what is 0 + -31? -31 In base 4, what is -101200 - 0? -101200 In base 2, what is -101 + 1101111? 1101010 In base 11, what is 2 + -1308? -1306 In base 12, what is -3 + -2bb? -302 In base 13, what is -2 - 38? -3a In base 16, what is 80 + -5? 7b In base 7, what is 4 + 3? 10 In base 5, what is -103 + -1? -104 In base 6, what is -34153 + -5? -34202 In base 8, what is 35 + -27? 6 In base 10, what is -24 + 26? 2 In base 15, what is -82 - 7? -89 In base 15, what is -3 - 1cbe? -1cc2 In base 2, what is 1011001 - 11100? 111101 In base 16, what is -22 - 5? -27 In base 10, what is 332 - -2? 334 In base 7, what is -253 + -1? -254 In base 5, what is -2240 + 33? -2202 In base 4, what is 10201 - 23? 10112 In base 14, what is -4 - -78? 74 In base 11, what is 0 - a25? -a25 In base 15, what is 4 - -213? 217 In base 16, what is -f7 - -39? -be In base 5, what is -313 - 230? -1043 In base 13, what is -6 + -1b? -24 In base 4, what is 3 - -212? 221 In base 15, what is -74 + 21? -53 In base 10, what is -2 + 6? 4 In base 13, what is 11 + -b9? -a8 In base 14, what is -212a - 5? -2131 In base 2, what is -1010000 - -1011? -1000101 In base 7, what is 3 - -461? 464 In base 8, what is -4 - 1222? -1226 In base 15, what is -10 + 4? -b In base 4, what is 11 - -100100? 100111 In base 10, what is -1 + 127? 126 In base 3, what is -1200021122 + 10? -1200021112 In base 13, what is 5 - 2c5? -2c0 In base 8, what is -15 + 16? 1 In base 10, what is -1063 + 1? -1062 In base 6, what is -1 + 3342? 3341 In base 16, what is -1 - e9? -ea In base 15, what is -1bb9 - 3? -1bbc In base 14, what is -29 + 3c? 13 In base 16, what is -17de + 1? -17dd In base 2, what is -1110000 + -100? -1110100 In base 4, what is 2303 + 11? 2320 In base 14, what is 0 - -
{ "pile_set_name": "DM Mathematics" }
, x, 2, 4. x, 2, 3, 4, 5 Suppose -g = 4*p - 168, -126 = -1092*p + 1089*p - 5*g. Sort p, 73, -2/13 in decreasing order. 73, p, -2/13 Suppose -97*o - 394 - 91 = 0. Sort o, -6, 1/4, 0 in decreasing order. 1/4, 0, o, -6 Let v = 10392 + -10393. Sort v, -2, 1, 7. -2, v, 1, 7 Let r(h) = 2*h**2 + 9*h - 8. Let f be r(-8). Suppose -7*t + 29 = -f. Sort t, 0, -5 in descending order. t, 0, -5 Let z = -2146 + 2117. Sort -3, 0.1, z, 2/7 in increasing order. z, -3, 0.1, 2/7 Let y be ((-9 - -1) + 48/8)/(0 + -12). Let d = -1054/1305 - -2/261. Put -0.5, d, 0.4, y in increasing order. d, -0.5, y, 0.4 Let i = 14775.5 - 14775. Sort -0.001, i, 0.1, 3/2, -1 in decreasing order. 3/2, i, 0.1, -0.001, -1 Suppose 0 = -5*y - 5*y + 4600. Let f = y + -2302/5. Sort -1.3, f, 5. -1.3, f, 5 Let f = -19 + 42. Let v(j) = -8*j + 19. Let r be v(4). Let m = f + r. Put m, 4, -3 in increasing order. -3, 4, m Let t be 3/(-16) + (-6968)/(-1664). Suppose 0 = -5*p - 3 - 2. Sort -4, t, -13, p in descending order. t, p, -4, -13 Suppose -5*u - 3*b - 2 - 20 = 0, 4*u - 4*b + 56 = 0. Put -6, -5, -3, u in increasing order. u, -6, -5, -3 Let s be (6/(-8))/(3/(-2)). Let b = 0.02988 + -5.02988. Let k = -293/4 - -74. Put s, k, 0.4, b in increasing order. b, 0.4, s, k Let n = -2/369 - 353/2952. Sort -0.5, 0.1, -2/25, n, 2/5 in decreasing order. 2/5, 0.1, -2/25, n, -0.5 Let h(v) = -v**2 - 17*v + 27. Let y be h(-18). Let d be (2/y)/((-7)/(-63)). Put d, -8, 0, -1 in increasing order. -8, -1, 0, d Let n = -37153/8 - -4646. Put n, -1/2, 8 in decreasing order. 8, n, -1/2 Let f = -0.512 - -0.212. Let l = 25 + -27.5. Let r = l + 2.3. Put 1/3, f, r in decreasing order. 1/3, r, f Suppose -16 = 8*c + 4*f, -55*c + 5*f = -53*c - 32. Sort c, -144, -2 in descending order. c, -2, -144 Let o = 63 - 61. Suppose 0 = 3*s - o*s - 27. Put s, -4, 5, -1 in descending order. s, 5, -1, -4 Let n = 55/3 - 18. Let m = 8.388 + -0.388. Sort n, m, -1/4, 0.4 in decreasing order. m, 0.4, n, -1/4 Let n(m) = m**3 - 23*m**2 - 26*m + 39. Let w be n(24). Let u be (10 + w)*(2 + -1). Sort 12, -2, u. -2, u, 12 Let t be (-15 - -11)/(16/(-2 + 6)). Sort 0, 5, t, -99 in descending order. 5, 0, t, -99 Suppose 10 = -0*z + 5*z. Suppose 5 = 3*v + z*v. Let j(s) = -120*s + 3816. Let i be j(32). Put i, -4, v in decreasing order. v, -4, i Suppose 2*k + 166 = 408. Let o = 116 - k. Sort o, 7, 4, -4. o, -4, 4, 7 Let n = -1144 - -1703. Let x = -559.5 + n. Sort -0.1, x, 1, 0.5. x, -0.1, 0.5, 1 Let d be 6/3 + -2 - 1. Let o be (8/76)/((-1)/d). Let m be (18 - (23 - 0)) + 222/48. Sort 0.5, o, m in descending order. 0.5, o, m Let b = -405.3 + 403.3. Put b, -1, 1/5, 0.4, -3/17 in descending order. 0.4, 1/5, -3/17, -1, b Suppose -u - 4*g + 0*g = -3, 2*u + 2*g = 0. Let t = 1.97 + -2.57. Sort u, -5, t in increasing order. -5, u, t Suppose -4*c + 2*y = -64, 0 = -c + y - 2*y + 13. Let j be (1/6)/(c/90). Let h be (-1)/2*(15 - 15). Put j, h, -4 in decreasing order. j, h, -4 Let g = 50/7 + -7. Suppose 14*v + 33*v = 0. Sort v, -7, g in descending order. g, v, -7 Let w = -873 - -872.7. Sort w, 6, 0.1, 3, -8 in decreasing order. 6, 3, 0.1, w, -8 Let c = -34 - -22. Let p = c + 17. Sort 3/8, p, 4 in increasing order. 3/8, 4, p Let u = 667 - 665. Let t = -28.3 + 26.3. Put t, 2/5, 0.1, u in decreasing order. u, 2/5, 0.1, t Suppose 6 = -2*t + 4*b, 0 = -3*t + 4*b + b - 7. Let v(a) = 4*a**3 + 2*a + 0*a + t + 5*a - 5*a. Let l be v(-1). Sort 0.2, l, 0.5. l, 0.2, 0.5 Let w = -1306 - -1318.85. Let m = w + -12.75. Let q = -125/102 - -1/17. Put m, q, 1 in decreasing order. 1, m, q Let x = 22 - 24. Let d be (-13)/(-4) + (-2)/((-16)/x). Suppose 0 = d*p + p + 8. Sort -1, -3, p. -3, p, -1 Let h = -8449/728221 - 1/4309. Let j = -185/1352 - h. Let b = -253.9 - -254. Sort 1/17, b, 1/5, j. j, 1/17, b, 1/5 Suppose 0 = 432*d - 383*d - 490. Put d, -3, 4, 3, -2 in decreasing order. d, 4, 3, -2, -3 Let n = 1834.9 - 1971. Let j = 136 + n. Put j, 2/11, 0.4, -2 in ascending order. -2, j, 2/11, 0.4 Let r = -10 + 14. Let k = -0.13035 + 2.13035. Sort r, k, -4 in decreasing order. r, k, -4 Let t = 14 + 0. Let r = t - 13.8. Let s = -22.37 - -24.37. Put r, s, 5, 3 in decreasing order. 5, 3, s, r Let l = -715 + 691. Put -12, 5, l in decreasing order. 5, -12, l Let u = 0 - -2. Let o = -114 - -168. Let j be (-11 + 1)*(-5 - o/(-10)). Put 4, j, u in increasing order. j, u, 4 Let i = -8.26 + 0.26. Let z = -328 + 197. Let u = z + 128. Sort i, 6/7, u in descending order. 6/7, u, i Let x = -4222 - -4219.8. Put x, 3/7, 7 in increasing order. x, 3/7, 7 Let j = 8066 - 8070. Sort 2, -44, j, 4, 6 in ascending order. -44, j, 2, 4, 6 Let o = -21 - -26. Let i = o - -1. Suppose 2*n = 14 - i. Sort n, 3, -5 in descending order. n, 3, -5 Let s be 3/(-10)*-60*(-95)/456*4. Let i be 0 - (-2*1)/1. Let q = 1 - i. Sort q, 4, s in increasing order. s, q, 4 Let r = -3.12 + 10.12. Sort -0.1, r, 25, -0.02 in decreasing order. 25, r, -0.02, -0.1 Let q = 4.355 - 4.455. Let r = -6 + 5.5. Sort r, 1, -3, q in increasing order. -3, r, q, 1 Let u(b) = 32*b + 14. Let a be u(0). Suppose -a*y = 82 - 138. Put y, -6, 3 in ascending order. -6, 3, y Suppose 3*m = -2*a + 487, 6*a = m + 8*a - 157. Put m, -4, 1 in descending order. m, 1, -4 Let b = 1 - -3. Suppose 5*j = -b*g + 9, 0 = -g + j + 4 + 5. Suppose -2*z + 14*x = 15*x - 3, 3*x - 9 = -5*z. Sort g, z, -2. -2, z, g Let y = 31 + -35. Let m be (-8)/4 - 2/y*14. Put -2, 76, m in decreasing order. 76, m, -2 Let k(o) = -o**3 - 8*o**2 + 3. Let r(i) = -i**2 + 3*i - 4. Let w be r(4). Let j be k(w). Let s = 6.9 + -2.9. Sort j, s, -3 in increasing order. -3, j, s Suppose -648*c + 71 = -577*c. Let d be ((-20)/8)/(4/40). Sort c, d, 4. d, c, 4 Let b be 4 + 115/(-30) - (129/18 + -10). Let c = 40 + -95. Sort 4, c, b in descending order. 4, b, c Let v be 13 + 205/123*(-78)/10. Sort -4137, 5, v in ascending order. -4137, v, 5 Let c(z) = -2*z**3 - z**2 + 5*z + 2. Suppose -40*a = -30*a + 20. Let k be c(a). Put k, -2, -1, 1 in decreasing order. k, 1, -1, -2 Let f = -0.7 + 0.3. Let n = 24128 - 361918/15. Put -10, f, n, 0 in increasing order. -10, f, 0, n Let b = -10 + 6. Let o = -464 - -473. Let q be o/(-108)*0*(-2 - -1). Put b, 4, q in increasing order. b, q, 4 Let u = -0.22 - 0.08. Let k = 15.6 + -15.5. Sort 5/3, -10/3, u, k. -10/3, u, k, 5/3 Suppose 0 = -l - 2, 5*r - 8*r + 2*l = 11. Let t = -49 + 49. Sort 3, r, t in ascending order. r, t, 3 Let g = 10041 + -10033. Put g, -1.9, -3/7, 1 in increasing order. -1.9, -3/7, 1, g Suppose 0 = -3*r + 2*a - 122, -a = 2*r + 3*r + 186. Let x = -17 - r. Let w = 81/4 - x. Sort 1/7, -4, w. -4, w, 1/7 Let a be (-63)/6*2/3 - (-25)/3. Sort -0.4, a, -0.05, 2/3, 5. -0.4, -0.05, 2/3, a, 5 Suppose 13*b - 17*b = -h - 15, -5*b + 5*h = 0. Sort 14, 28, b in descending order. 28, 14, b Let b = 7812 - 7820. Sort 3, b, 5, -13, -5 in decreasing order. 5, 3, -5, b, -13 Let a be 6/(-27) - (-50)/(-18). Let g = -68141 - -68145. Let n = 3 + -2. Sort a, -2, n, g in ascending order. a, -2, n, g Suppose 5*r = -9 - 1, -4*h = 5*r - 2. Suppose 0 = 7*o - 3*o + 5*s - 4, 0 = h*s. Let y = -7 + 6. Sort -4, y, o in increasing order. -4, y, o Let w(g) = g**3 + 11*g**2 - 4*g + 98. Suppose 505 = 3*n + 541. Let f be w(n). Let p = -22 - -16. Sort f, -3, p, 0 in decreasing order. f, 0, -3, p Let f = 759 + -439. Let m = f - 318. Sort 0.4, m, -4 in decreasing order. m, 0.4, -4 Let f(m) = 21*m**2 - 8. Let r be f(2). Let y = 80 - r. Put y, -7, 3 in increasing order. -7, 3, y Let o = -8728/11 + 794. Let q = 320 - 316. Put 2/11, 0.5, q, o in increasing order. 2/11, 0.5, o, q Suppose -5*v + 4*d - 81 = -0*v, -4*v - 72 = 4*d. Let p = 73301 - 3225513/44. Let b = 70/11 + p. Put v, b, 1/8 in ascending order. v, 1/8, b Let q = 0.915 - -421.085. Let k = q + -421. Sort -13, -1, k, -4 in descending order. k, -1, -4, -13 Let g be 2/3*9840/2240. Let n = g + -439/126. Sort 1/4, -0.2, n in increasing order. n, -0.2, 1/4 Let z = 6.646 - -0.774. Let c = z - 6.42. Sort -5, c, -4/7 in ascending order. -5, -4/7, c Let q = -26 + 19. Let g(n) = -n**2 - 7*n + 84. Let h be g(6). Sort q, 3, h in ascending order. q, 3, h Let k be 42/(-546)*2/16. Let c = -201/728 + k. Put -5, c, 0.07, -0.5 in increasing order. -5, -0.5, c, 0.07 Let i(d) = d - 17. Let h be i(0). Let a be -1 + 10/15 + (-24)/9. Put -4, a, h in decreasing order. a, -4, h Suppose -1 = -u
{ "pile_set_name": "DM Mathematics" }
base 2? -11 10 (base 6) to base 4 12 Convert -123 (base 9) to base 4. -1212 What is -61 (base 11) in base 7? -124 What is -14 (base 8) in base 6? -20 11 (base 2) to base 16 3 What is 424 (base 5) in base 15? 79 What is 304 (base 6) in base 8? 160 Convert 2b (base 16) to base 9. 47 Convert -3 (base 10) to base 5. -3 -31 (base 9) to base 14 -20 What is 100 (base 2) in base 7? 4 -211 (base 4) to base 12 -31 What is 3 (base 9) in base 3? 10 0 (base 3) to base 8 0 -1f (base 16) to base 5 -111 Convert 0 (base 11) to base 9. 0 Convert -10 (base 10) to base 15. -a 0 (base 13) to base 7 0 -20 (base 3) to base 4 -12 Convert 117 (base 15) to base 4. 3313 Convert 2a (base 13) to base 3. 1100 17 (base 13) to base 4 110 Convert -2 (base 14) to base 7. -2 Convert 10 (base 2) to base 9. 2 Convert 5 (base 8) to base 6. 5 What is -160 (base 7) in base 9? -111 Convert -10 (base 16) to base 14. -12 What is -1d (base 14) in base 13? -21 What is 6 (base 12) in base 7? 6 -1 (base 4) to base 15 -1 -112 (base 3) to base 7 -20 What is -1000 (base 3) in base 9? -30 What is 2a (base 11) in base 9? 35 What is 2111 (base 3) in base 2? 1000011 111 (base 3) to base 4 31 Convert 1210 (base 5) to base 6. 500 Convert 120 (base 6) to base 12. 40 Convert 9 (base 10) to base 9. 10 Convert 2 (base 16) to base 7. 2 What is 1 (base 5) in base 11? 1 135 (base 10) to base 16 87 27 (base 13) to base 6 53 What is -44 (base 5) in base 6? -40 Convert 2 (base 8) to base 16. 2 27 (base 11) to base 6 45 1241 (base 5) to base 10 196 Convert 21 (base 5) to base 4. 23 What is b3 (base 16) in base 9? 218 -5 (base 10) to base 14 -5 Convert -5 (base 13) to base 7. -5 What is 1 (base 15) in base 12? 1 Convert -30 (base 4) to base 16. -c Convert 2 (base 15) to base 14. 2 Convert -29 (base 13) to base 8. -43 Convert 1011 (base 3) to base 12. 27 1231 (base 4) to base 11 9a What is 1 (base 9) in base 6? 1 Convert -3 (base 10) to base 5. -3 -1 (base 6) to base 10 -1 Convert -1001 (base 2) to base 6. -13 What is 2 (base 5) in base 6? 2 What is 2 (base 10) in base 4? 2 11 (base 2) to base 16 3 4 (base 15) to base 12 4 Convert 134 (base 15) to base 2. 100010010 Convert 2000 (base 3) to base 7. 105 -2b (base 13) to base 14 -29 Convert -35 (base 6) to base 11. -21 What is 28 (base 16) in base 3? 1111 -3 (base 13) to base 11 -3 2 (base 16) to base 2 10 19 (base 15) to base 5 44 Convert -11302 (base 4) to base 7. -1036 Convert 62 (base 12) to base 11. 68 Convert -10 (base 3) to base 4. -3 What is -10 (base 2) in base 10? -2 Convert -25 (base 6) to base 16. -11 What is 43 (base 7) in base 8? 37 What is -11 (base 11) in base 3? -110 105 (base 7) to base 5 204 Convert 4 (base 16) to base 7. 4 -197 (base 11) to base 4 -3203 30 (base 10) to base 6 50 b (base 16) to base 13 b 3 (base 8) to base 9 3 Convert 11010111 (base 2) to base 7. 425 c8 (base 16) to base 6 532 Convert 1 (base 3) to base 15. 1 What is 0 (base 7) in base 5? 0 What is 6 (base 11) in base 4? 12 231 (base 4) to base 8 55 What is -10 (base 12) in base 2? -1100 33 (base 15) to base 4 300 2 (base 4) to base 10 2 What is -1 (base 6) in base 2? -1 What is -232 (base 7) in base 14? -89 What is 10 (base 2) in base 12? 2 What is 1b (base 15) in base 13? 20 -d (base 14) to base 8 -15 What is -22 (base 11) in base 5? -44 1 (base 11) to base 2 1 c (base 13) to base 6 20 -4 (base 5) to base 7 -4 20 (base 10) to base 5 40 -183 (base 15) to base 7 -1005 7b (base 16) to base 12 a3 -22 (base 3) to base 7 -11 What is -6 (base 15) in base 16? -6 What is 4 (base 13) in base 11? 4 -34 (base 6) to base 2 -10110 Convert -15 (base 13) to base 3. -200 Convert 30 (base 16) to base 6. 120 Convert 51 (base 11) to base 14. 40 What is -7 (base 11) in base 16? -7 -1ab (base 14) to base 5 -2342 -75 (base 16) to base 13 -90 Convert 23 (base 7) to base 14. 13 What is 1110 (base 2) in base 3? 112 Convert -18 (base 14) to base 10. -22 Convert -1 (base 9) to base 16. -1 Convert -1232 (base 4) to base 3. -11002 What is -11 (base 11) in base 12? -10 Convert 0 (base 14) to base 6. 0 What is 58 (base 9) in base 15? 38 15 (base 7) to base 16 c What is 1 (base 9) in base 6? 1 11 (base 4) to base 14 5 What is 0 (base 6) in base 3? 0 Convert 103 (base 4) to base 3. 201 What is a3 (base 12) in base 7? 234 -4 (base 8) to base 9 -4 What is 2203 (base 4) in base 11? 139 What is 6 (base 11) in base 8? 6 What is -3 (base 13) in base 15? -3 -4 (base 6) to base 10 -4 What is -100110 (base 2) in base 5? -123 Convert 123 (base 5) to base 7. 53 2 (base 4) to base 14 2 What is a (base 14) in base 13? a Convert 2 (base 11) to base 2. 10 -3 (base 4) to base 13 -3 -1 (base 4) to base 15 -1 -3 (base 7) to base 3 -10 -6 (base 12) to base 11 -6 What is -24 (base 5) in base 15? -e What is -21 (base 4) in base 14? -9 5 (base 10) to base 3 12 Convert -20 (base 6) to base 12. -10 -52 (base 11) to base 5 -212 What is -44 (base 7) in base 4? -200 66 (base 13) to base 5 314 -34 (base 7) to base 5 -100 What is 1354 (base 6) in base 13? 217 Convert -10 (base 7) to base 3. -21 -b0 (base 12) to base 11 -110 1001 (base 5) to base 2 1111110 What is 62 (base 8) in base 4? 302 26 (base 16) to base 2 100110 Convert 120 (base 4) to base 5. 44 What is 0 (base 6) in base 15? 0 Convert -20 (base 5) to base 3. -101 Convert -3 (base 14) to base 7. -3 What is 131 (base 4) in base 9? 32 -4 (base 11) to base 4 -10 What is 251 (base 13) in base 12? 298 -18 (base 15) to base 2 -10111 Convert d (base 15) to base 8. 15 Convert 647 (base 8) to base 9. 520 2114 (base 5) to base 12 1b8 Convert 26 (base 15) to base 13. 2a What is -11 (base 3) in base 14? -4 Convert -11 (base 3) to base 10. -4 1010 (base 2) to base 7 13 201 (base 3) to base 13 16 Convert 2 (base 12) to base 7. 2 What is -4 (base 14) in base 11? -4 -50 (base 15) to base 12 -63 What is 22 (base 3) in base 10? 8 What is -1 (base 11) in base 9? -1 Convert 463 (base 7) to base 12. 181 What is -a (base 11) in base 2? -1010 What is -2 (base 4) in base 2? -10 What is 1 (base 14) in base 7? 1 -131 (base 7) to base 6 -155 63 (base 8) to base 7 102 What is 211 (base 5) in base 9? 62 165 (base 11) to base 3 21010 What is 11011 (base 2) in base 14? 1d 1d0 (base 14) to base 2 101111010 Convert 40 (base 9) to base 2. 100100 Convert 4 (base 9) to base 15. 4 Convert -9 (base 10) to base 16. -9 100 (base 2) to base 5 4 Convert 11 (base 4) to base 6. 5 5 (base 10) to base 2 101 -1004 (base 6) to base 5 -1340 Convert -13 (base 10) to base 3. -111 243 (base 5) to base 8 111 20 (base 9) to base 6 30 Convert -62 (base 12) to base 2. -1001010 Convert -27 (base 12) to base 6. -51 Convert 0 (base 5) to base 6. 0 -1000100 (base 2) to base 3 -2112 Convert 105 (base 8) to base 9. 76 Convert -4 (base 10) to base 14. -4 Convert 1 (base 2) to base 16. 1 37 (base 11) to base 7 55 35 (base 9) to base 13 26 Convert -4 (base 5) to base 16. -4 -2 (base 3) to base 16 -2 -2 (base 5) to base 15 -2 -22 (base 5) to base 2 -1100 7 (base 14) to base 16 7 What is 64 (base 12) in base 8? 114 What is 7 (base 10) in base 8? 7 What is -164 (base 7) in base 13? -74 Convert 10 (base 11) to base 5. 21 1143 (base 5) to base 9 212 -11 (base 8) to base 10 -9 What is -4 (base 8) in base 11? -4 100111 (base 2) to base 3 1110 Convert -1 (base 16) to base 12. -1 5e (base 15) to base 7 155 Convert 2 (base 14) to base 16. 2 What is -4 (base 7) in base 15? -4 What is -1220 (base 3) in base 11? -47 -2 (base 8) to base 7 -2 What is 56 (base 12) in base 7? 123 Convert 1 (base 3) to base 9. 1 -2 (base 3) to base 9 -2 Convert 9a (base 14) to base 12. b4 -4 (base 10) to base 5 -4 Convert 2d (base 16) to base 4. 231 -2 (base 6) to base 12 -2 What is 15 (base 11) in base 7? 22 What is -5 (base 13) in base 2? -101 Convert 2 (base 3) to base 11. 2 -255 (base 7) to base 14 -9c Convert -133 (base 8) to base 11. -83 Convert -1 (base 16) to base 8. -1 Convert 7 (base 15) to base 9. 7 What is -3 (base 14) in base 3? -10 What is 22 (base 12) in base 10? 26 Convert -211 (base 4) to base 15. -27 1 (base 13) to base 4 1 What is -202 (base 3) in base 7? -26 0 (base 13) to base 16 0 Convert -4 (base 11) to base 9. -4 What is 3 (base 8) in base 15? 3 What is 42 (base 8) in base 12? 2a What is 56 (base 8) in base 9? 51 What is 1a (base 11) in base 5? 41 C
{ "pile_set_name": "DM Mathematics" }
sequence gt? 1/12 Two letters picked without replacement from uvirtunir. Give prob of sequence it. 1/36 Three letters picked without replacement from reekzsvr. What is prob of sequence zse? 1/168 Calculate prob of sequence utu when three letters picked without replacement from tuug. 1/12 Three letters picked without replacement from fcfooocco. Give prob of sequence fco. 1/21 What is prob of sequence mmn when three letters picked without replacement from {h: 1, n: 2, m: 2}? 1/15 What is prob of sequence hlpp when four letters picked without replacement from {l: 1, z: 1, h: 2, p: 2}? 1/90 Two letters picked without replacement from {l: 1, c: 1, a: 2, f: 1, s: 1, y: 1}. Give prob of sequence aa. 1/21 Three letters picked without replacement from {h: 13, u: 6}. Give prob of sequence uuh. 65/969 What is prob of sequence os when two letters picked without replacement from {j: 2, s: 2, o: 6, l: 2}? 1/11 What is prob of sequence dlrd when four letters picked without replacement from {s: 5, l: 1, r: 3, d: 3}? 1/660 Four letters picked without replacement from jiiciikc. What is prob of sequence kjci? 1/210 Four letters picked without replacement from {c: 2, x: 4, i: 3, h: 1}. What is prob of sequence hcic? 1/840 Calculate prob of sequence ko when two letters picked without replacement from oopwkckppcwpkppckp. 4/153 Three letters picked without replacement from lgbbg. What is prob of sequence blb? 1/30 Two letters picked without replacement from gkgwqsq. Give prob of sequence kq. 1/21 What is prob of sequence vy when two letters picked without replacement from yzeyyyeyvyevvzyyz? 3/34 Four letters picked without replacement from {c: 6, h: 1, p: 1, g: 1}. What is prob of sequence gphg? 0 What is prob of sequence ene when three letters picked without replacement from {n: 2, e: 18}? 17/190 Three letters picked without replacement from {s: 2, v: 2, t: 3, y: 3, m: 1, l: 1}. What is prob of sequence mst? 1/220 Four letters picked without replacement from {r: 3, z: 7, q: 1, g: 3}. Give prob of sequence zgzz. 15/572 Calculate prob of sequence ww when two letters picked without replacement from {w: 2, o: 1, j: 1, i: 1, s: 2, d: 1}. 1/28 Four letters picked without replacement from {w: 1, z: 1, e: 3, p: 1, f: 2, n: 4}. What is prob of sequence wnpf? 1/1485 Calculate prob of sequence ko when two letters picked without replacement from hobhvekev. 1/72 What is prob of sequence rq when two letters picked without replacement from qyrrybrbbyqybrqy? 1/20 Two letters picked without replacement from xpxcaur. Give prob of sequence ur. 1/42 Calculate prob of sequence rubj when four letters picked without replacement from {r: 1, u: 2, b: 1, j: 1}. 1/60 Two letters picked without replacement from {c: 2, m: 4, k: 2}. Give prob of sequence mm. 3/14 Three letters picked without replacement from {n: 2, h: 3, l: 3}. Give prob of sequence hnh. 1/28 Two letters picked without replacement from tdtodvm. Give prob of sequence vm. 1/42 Two letters picked without replacement from {m: 1, n: 9, h: 6, v: 3}. What is prob of sequence vm? 1/114 Three letters picked without replacement from {t: 1, c: 3, l: 1, r: 1, h: 5}. What is prob of sequence hrh? 2/99 Calculate prob of sequence gmuo when four letters picked without replacement from {u: 1, g: 1, o: 3, m: 1, w: 1}. 1/280 Four letters picked without replacement from ssqqsxsxqqqsavqbqqsv. Give prob of sequence baxq. 2/14535 What is prob of sequence my when two letters picked without replacement from mymyyyyy? 3/14 Calculate prob of sequence ii when two letters picked without replacement from {r: 9, i: 4, o: 1}. 6/91 Calculate prob of sequence ri when two letters picked without replacement from wivcr. 1/20 Three letters picked without replacement from vvvvvvvvvvdvvvvvvvv. Give prob of sequence dvv. 1/19 What is prob of sequence qqqq when four letters picked without replacement from {q: 6}? 1 Calculate prob of sequence oul when three letters picked without replacement from {l: 3, o: 2, m: 1, e: 3, u: 4, c: 2}. 4/455 Three letters picked without replacement from {z: 3, c: 3, f: 1, v: 1, r: 2, k: 1}. What is prob of sequence fzv? 1/330 Two letters picked without replacement from vgtuvrx. What is prob of sequence xu? 1/42 What is prob of sequence ggog when four letters picked without replacement from {g: 11, o: 1}? 1/12 What is prob of sequence xo when two letters picked without replacement from {t: 2, w: 3, o: 1, d: 3, j: 3, x: 4}? 1/60 What is prob of sequence jxjx when four letters picked without replacement from {x: 14, j: 5}? 455/11628 What is prob of sequence oo when two letters picked without replacement from {y: 7, o: 2}? 1/36 What is prob of sequence kgg when three letters picked without replacement from {k: 7, b: 2, z: 5, j: 1, g: 3}? 7/816 What is prob of sequence qcrq when four letters picked without replacement from {q: 7, c: 2, r: 6}? 1/65 Three letters picked without replacement from {q: 2, c: 1, i: 7, f: 1, h: 4}. What is prob of sequence qch? 4/1365 What is prob of sequence tj when two letters picked without replacement from {k: 3, t: 3, j: 1, x: 1, u: 3}? 3/110 Calculate prob of sequence kki when three letters picked without replacement from ikekfiiiikkkkx. 25/364 Calculate prob of sequence eyen when four letters picked without replacement from {y: 3, f: 2, n: 1, e: 9, d: 4}. 3/1292 Calculate prob of sequence mkk when three letters picked without replacement from ffffkmmfkm. 1/120 What is prob of sequence vbwl when four letters picked without replacement from {w: 2, l: 1, o: 1, b: 2, v: 1}? 1/210 What is prob of sequence kd when two letters picked without replacement from {h: 2, b: 1, d: 4, k: 7, l: 1}? 2/15 Two letters picked without replacement from {p: 12, h: 1, g: 3, b: 1, t: 2}. What is prob of sequence tg? 1/57 What is prob of sequence seq when three letters picked without replacement from sqweo? 1/60 What is prob of sequence qqp when three letters picked without replacement from kqppq? 1/15 Three letters picked without replacement from {w: 3, t: 2, r: 2, v: 3, o: 1, f: 1}. Give prob of sequence owv. 3/440 What is prob of sequence zm when two letters picked without replacement from {z: 5, m: 1, i: 14}? 1/76 What is prob of sequence rf when two letters picked without replacement from {v: 1, l: 1, r: 6, f: 1, b: 1, p: 1}? 3/55 Calculate prob of sequence dwd when three letters picked without replacement from {d: 3, w: 3}. 3/20 Calculate prob of sequence lz when two letters picked without replacement from {l: 3, d: 4, s: 1, h: 2, n: 6, z: 3}. 1/38 Calculate prob of sequence bbbb when four letters picked without replacement from bbbbbbb. 1 What is prob of sequence mrbe when four letters picked without replacement from {e: 4, w: 4, b: 1, m: 1, r: 3, q: 6}? 1/7752 What is prob of sequence uwi when three letters picked without replacement from {u: 7, w: 2, i: 1, n: 2}? 7/660 Four letters picked without replacement from {g: 2, c: 1, r: 2}. What is prob of sequence ggrg? 0 Calculate prob of sequence llo when three letters picked without replacement from {l: 2, o: 2}. 1/6 What is prob of sequence fmmm when four letters picked without replacement from {f: 4, a: 7, m: 7}? 7/612 Calculate prob of sequence kxkl when four letters picked without replacement from kkklxpkxllkklkxlxxkk. 5/323 Two letters picked without replacement from xqnjxxqxjxqxqnbj. What is prob of sequence bj? 1/80 Calculate prob of sequence qqdd when four letters picked without replacement from {d: 5, q: 13}. 13/306 What is prob of sequence rwr when three letters picked without replacement from {w: 8, b: 2, r: 4, a: 1}? 16/455 Four letters picked without replacement from xxgxnxxxnx. Give prob of sequence gxnn. 1/360 Four letters picked without replacement from ppppff. What is prob of sequence pfpp? 2/15 Four letters picked without replacement from {h: 2, j: 2, s: 8}. What is prob of sequence jjsh? 4/1485 Four letters picked without replacement from jttvgvvvwqqqvqt. What is prob of sequence qtwg? 1/2730 Two letters picked without replacement from adia. What is prob of sequence ad? 1/6 Two letters picked without replacement from {x: 8, y: 5}. What is prob of sequence yy? 5/39 What is prob of sequence yqdp when four letters picked without replacement from {d: 2, p: 2, n
{ "pile_set_name": "DM Mathematics" }
*t**2 - 6794*t - 5739 What is the p'th term of -19652, -78564, -176746, -314198? -19635*p**2 - 7*p - 10 What is the m'th term of 28476848, 56953674, 85430498, 113907320, 142384140, 170860958, 199337774? -m**2 + 28476829*m + 20 What is the c'th term of -726280, -1452551, -2178822? -726271*c - 9 What is the p'th term of 1708690, 3417326, 5125962, 6834598? 1708636*p + 54 What is the u'th term of -3097, -6236, -9375? -3139*u + 42 What is the v'th term of -1140606, -2281267, -3421914, -4562541, -5703142, -6843711, -7984242? v**3 + v**2 - 1140671*v + 63 What is the l'th term of 32260, 33463, 34666, 35869, 37072? 1203*l + 31057 What is the t'th term of -3808, -1676, 4128, 15446, 34120? 307*t**3 - 6*t**2 + t - 4110 What is the t'th term of -1798005, -1797872, -1797739, -1797606, -1797473, -1797340? 133*t - 1798138 What is the c'th term of -154503, -310165, -466989, -624975, -784123, -944433, -1105905? -581*c**2 - 153919*c - 3 What is the q'th term of 1497, 2947, 4285, 5511, 6625, 7627, 8517? -56*q**2 + 1618*q - 65 What is the d'th term of 113, 418, 1133, 2426, 4465, 7418, 11453? 28*d**3 + 37*d**2 - 2*d + 50 What is the a'th term of 280804, 561620, 842448, 1123294, 1404164, 1685064? a**3 + 280809*a - 6 What is the p'th term of -727, -2109, -3473, -4819, -6147, -7457, -8749? 9*p**2 - 1409*p + 673 What is the k'th term of -21645610, -21645613, -21645616, -21645619, -21645622, -21645625? -3*k - 21645607 What is the y'th term of -44926, -179711, -404354, -718855, -1123214? -44929*y**2 + 2*y + 1 What is the p'th term of -339280, -339425, -339570, -339715, -339860? -145*p - 339135 What is the p'th term of 526327, 1052718, 1579109? 526391*p - 64 What is the b'th term of 147252, 145040, 141364, 136230, 129644, 121612? b**3 - 738*b**2 - 5*b + 147994 What is the y'th term of -4463805, -4463808, -4463811? -3*y - 4463802 What is the n'th term of 641, 748, 935, 1202? 40*n**2 - 13*n + 614 What is the w'th term of 3199, 3360, 3619, 3970, 4407? -w**3 + 55*w**2 + 3*w + 3142 What is the i'th term of -846, -6444, -21758, -51684, -101118, -174956? -816*i**3 + 38*i**2 - 68 What is the a'th term of -1646801, -1646789, -1646767, -1646729, -1646669, -1646581, -1646459, -1646297? a**3 - a**2 + 8*a - 1646809 What is the q'th term of -5936, -12075, -18218, -24365, -30516? -2*q**2 - 6133*q + 199 What is the u'th term of -599219, -1198836, -1798453, -2398070, -2997687, -3597304? -599617*u + 398 What is the h'th term of 40736, 40656, 40584, 40526, 40488, 40476? h**3 - 2*h**2 - 81*h + 40818 What is the z'th term of 1253, 2273, 3259, 4205, 5105, 5953? -z**3 - 11*z**2 + 1060*z + 205 What is the h'th term of 588082, 1176340, 1764770, 2353372, 2942146, 3531092? 86*h**2 + 588000*h - 4 What is the w'th term of -4064, -16430, -37082, -66050, -103364, -149054, -203150, -265682? -5*w**3 - 4113*w**2 + 8*w + 46 What is the t'th term of -1602860, -3205427, -4807994? -1602567*t - 293 What is the q'th term of -68856, -273859, -615530, -1093869, -1708876, -2460551, -3348894? -68334*q**2 - q - 521 What is the u'th term of 1638031, 3276044, 4914057? 1638013*u + 18 What is the b'th term of -3336926, -3336942, -3336962, -3336986, -3337014, -3337046, -3337082? -2*b**2 - 10*b - 3336914 What is the m'th term of -730999, -730527, -729741, -728641, -727227, -725499? 157*m**2 + m - 731157 What is the r'th term of -54, -181, -564, -1347, -2674, -4689, -7536, -11359? -24*r**3 + 16*r**2 - 7*r - 39 What is the m'th term of -955101, -1910278, -2865541, -3820890? -43*m**2 - 955048*m - 10 What is the z'th term of -52503, -55288, -59929, -66426, -74779, -84988, -97053? -928*z**2 - z - 51574 What is the b'th term of 155189, 155011, 154833? -178*b + 155367 What is the b'th term of 1436564, 1436498, 1436432, 1436366, 1436300, 1436234? -66*b + 1436630 What is the p'th term of -637270, -637269, -637268, -637267, -637266? p - 637271 What is the s'th term of 2163092, 8652353, 19467788, 34609397, 54077180? 2163087*s**2 + 5 What is the r'th term of 3524, 4528, 5532, 6536, 7540? 1004*r + 2520 What is the i'th term of 1783, 3706, 5785, 8020, 10411, 12958, 15661? 78*i**2 + 1689*i + 16 What is the q'th term of -1148339, -1148381, -1148423, -1148465, -1148507, -1148549? -42*q - 1148297 What is the v'th term of -952194, -3808772, -8569740, -15235104, -23804870, -34279044, -46657632, -60940640? -v**3 - 952189*v**2 - 4*v What is the a'th term of 12203967, 48815870, 109835709, 195263484, 305099195? 12203968*a**2 - a What is the d'th term of -13048236, -13048239, -13048244, -13048251, -13048260? -d**2 - 13048235 What is the r'th term of -14106758, -28213521, -42320284, -56427047, -70533810? -14106763*r + 5 What is the g'th term of -179398080, -179398083, -179398088, -179398095, -179398104? -g**2 - 179398079 What is the f'th term of -139310, -139258, -139178, -139076, -138958, -138830, -138698? -f**3 + 20*f**2 - f - 139328 What is the m'th term of -106, 993, 3986, 9821, 19446, 33809, 53858? 158*m**3 - m**2 - 4*m - 259 What is the c'th term of -1076, -6524, -21356, -50264, -97940, -169076? -782*c**3 + 26*c - 320 What is the f'th term of -780631, -780626, -780621, -780616, -780611, -780606? 5*f - 780636 What is the d'th term of -6452, -18394, -35798, -58664? -2731*d**2 - 3749*d + 28 What is the g'th term of -43222, -42381, -41538, -40693, -39846? g**2 + 838*g - 44061 What is the q'th term of 627530, 627525, 627540, 627593, 627702, 627885, 628160, 628545? 3*q**3 - 8*q**2 - 2*q + 627537 What is the m'th term of 1388, 6454, 16496, 32822, 56740, 89558? 218*m**3 + 1180*m**2 - 10 What is the k'th term of 14527, 14785, 15043, 15301? 258*k + 14269 What is the s'th term of 122116, 975972, 3293310, 7805872, 15245400, 26343636, 41832322? 121957*s**3 - s**2 + 160*s What is the g'th term of -6108, -12349, -18900, -25917, -33556, -41973, -51324, -61765? -26*g**3 + g**2 - 6062*g - 21 What is the i'th term of -687, -3542, -6397, -9252? -2855*i + 2168 What is the a'th term of -116704, -232821, -348938, -465055? -116117*a - 587 What is the x'th term of 74934, 74947, 74964, 74985, 75010, 75039? 2*x**2 + 7*x + 74925 What is the l'th term of 3160, 3584, 4264, 5194, 6368, 7780? -l**3 + 134*l**2 + 29*l + 2998 What is the p'th term of 314296159, 314296161, 314296163, 314296165, 314296167, 314296169? 2*p + 314296157 What is the q'th term of -9451626, -18903345, -28355064? -9451719*q + 93 What is the w'th term of -8559, -68505, -231233, -548133, -1070595? -8565*w**3 - w**2 + 12*w - 5 What is the i'th term of 6701, 27104, 61211, 109028, 170561, 245816, 334799? i**3 + 6846*i**2 - 142*i - 4 What is the s'th term of -395, -1567, -3605, -6509, -10279? -433*s**2 + 127*s - 89 What is the c'th term of 3523, 7105, 13081, 21451, 32215, 45373, 60925? 1197*c**2 - 9*c + 2335 What is the p'th term of 919900, 1839785, 2759656, 3679513, 4599356, 5519185? -7*p**2 + 919906*p + 1 What is the i'th term of -751398, -751387, -751368, -751341, -751306, -751263, -751212? 4*i**2 - i - 751401 What is the w'th term of 6785, 13402, 19853, 26132, 32233, 38150, 43877? -w**3 - 77*w**2 + 6855*w + 8 What is the r'th term of -33417, -267792, -904071, -2143206, -4186149, -7233852, -11487267? -33492*r**3 + 69*r + 6 What is the z'th term of 170779, 170797, 170815, 170833? 18*z + 170761 What is the z'th term of -14398, -15273, -16156, -17047, -17946? -4*z**2 - 863*z - 13531 What is the r'th term of 58217, 59902, 62711, 66644, 71701, 77882, 85187? 562*r**2 - r + 57656 What is the a'th term of -258159, -516330, -774505, -1032684, -1290867? -2*a**2 - 258165*a + 8 What is the s'th term of -14388, -28639, -42842, -56997, -71104, -85163, -99174? 24*s**2 - 14323*s - 89 What is the d'th term of -4588149, -9176302, -13764455, -18352608? -4588153*d + 4 What is the k'th term of 1441, 1492, 1509, 1492, 1441, 1356? -17*k**2 + 102*k + 1356 What is the r'th term of 36824, 77248, 117686, 158144, 198628, 239144, 279698? r**3 + r**2 + 40414*r - 3592 What is the j'th term of 100210, 400854, 901928, 1603432, 2505366, 3607730? 100215*j**2 - j - 4 What is the n'th term of 2160, 4684, 7576, 10836? 184*n**2 + 1972*n + 4 What is the v'th term of 48116, 385138, 1299912, 3081314, 6018220? 48146*v**3 - 30 What is the t'th term of 9301, 74630, 251927, 597166, 1166321, 2015366, 3200275? 9329*t**3 + 10*t**2 - 4*t - 34 What i
{ "pile_set_name": "DM Mathematics" }
-58, -95, -142? -199 What is the next term in 23, 16, 9, 2, -5, -12? -19 What comes next: -65, -63, -61? -59 What is the next term in 47, 80, 113, 146? 179 What comes next: -110, -142, -186, -248, -334? -450 What is next in 485, 498, 539, 620, 753, 950? 1223 What is next in -388, -379, -364, -343, -316, -283? -244 What is next in 8, 69, 176, 335, 552, 833, 1184, 1611? 2120 What is next in 5285, 5286, 5287, 5288? 5289 What is next in 41, 147, 335, 611, 981, 1451? 2027 What is the next term in 438, 437, 434, 429, 422, 413? 402 What is next in 1775, 1773, 1771, 1769, 1767? 1765 What is the next term in -1269, -2525, -3781, -5037, -6293? -7549 What comes next: 28, 65, 90, 103, 104? 93 What comes next: 140, 280, 420? 560 What comes next: 57, 53, 37, 3, -55, -143, -267, -433? -647 What comes next: -282, -1121, -2518, -4473? -6986 What is next in -12, -70, -234, -558, -1096, -1902? -3030 What is the next term in 2769, 11064, 24889, 44244, 69129, 99544? 135489 What is the next term in 76, 90, 120, 172, 252, 366, 520, 720? 972 What is the next term in 885, 1752, 2619? 3486 What is the next term in -30, -36, -42, -48? -54 What is next in -28, -83, -172, -295? -452 What is next in -99, -393, -899, -1629, -2595, -3809, -5283, -7029? -9059 What is next in 164, 661, 1490, 2651, 4144? 5969 What is next in 1, 30, 101, 232, 441, 746? 1165 What comes next: -126, -252, -378, -504, -630, -756? -882 What comes next: 27, 20, -1, -42, -109, -208, -345, -526? -757 What is next in -3682, -3706, -3752, -3826, -3934, -4082? -4276 What is the next term in -493, -742, -989, -1234, -1477, -1718, -1957? -2194 What is the next term in -16, -2, 32, 98, 208? 374 What comes next: -4, -42, -138, -322, -624, -1074, -1702? -2538 What comes next: 38, 67, 96, 125, 154? 183 What is the next term in -225, -224, -223? -222 What is next in -18, -25, -38, -57, -82? -113 What is the next term in -335, -348, -369, -398, -435? -480 What is the next term in -43, -85, -125, -163, -199, -233? -265 What is next in -7, -8, -7, -4? 1 What is the next term in 3, 4, 5, 6, 7, 8? 9 What is the next term in -9967, -9966, -9965? -9964 What comes next: 30, 51, 72, 93, 114, 135? 156 What is next in -451, -450, -439, -412, -363? -286 What is next in -907, -908, -909, -910, -911, -912? -913 What is next in 103, 98, 95, 100, 119, 158? 223 What is next in 2383, 4771, 7159? 9547 What comes next: -13, -110, -373, -886, -1733, -2998, -4765? -7118 What is next in 945, 1892, 2841, 3792, 4745, 5700, 6657? 7616 What is next in -35, -61, -101, -161, -247? -365 What is the next term in -388, -385, -378, -367, -352, -333? -310 What is the next term in 240, 253, 274, 303, 340, 385, 438? 499 What is the next term in 94, 100, 106, 112? 118 What comes next: 87, 148, 209, 270, 331, 392? 453 What comes next: 40, 91, 150, 223, 316, 435? 586 What is the next term in 3699, 3686, 3673, 3660, 3647, 3634? 3621 What comes next: 12, 30, 50, 72, 96? 122 What is next in -1018, -2035, -3052, -4069, -5086, -6103? -7120 What is the next term in -336, -344, -352, -360, -368, -376? -384 What comes next: -296, -605, -914, -1223, -1532, -1841? -2150 What is next in 37, -26, -131, -278, -467? -698 What comes next: 1789, 3577, 5365, 7153? 8941 What is next in 8, 26, 70, 152, 284, 478? 746 What comes next: -3, -25, -69, -141, -247, -393, -585, -829? -1131 What comes next: -116, -281, -442, -599, -752, -901? -1046 What comes next: 363, 360, 345, 312, 255, 168? 45 What comes next: 98, 381, 852, 1511, 2358? 3393 What is the next term in 21, 22, 35, 66, 121? 206 What is next in 59421, 59420, 59419, 59418? 59417 What comes next: 10, 23, 44, 73? 110 What is the next term in -291, -293, -295, -297? -299 What is the next term in 2, -41, -112, -211, -338, -493? -676 What comes next: 22, 3, -32, -89, -174, -293? -452 What comes next: 37, 36, 35, 34? 33 What is the next term in 6157, 12316, 18475, 24634? 30793 What is next in -141, -286, -429, -570, -709, -846, -981? -1114 What is the next term in 1626, 1624, 1620, 1614, 1606, 1596, 1584? 1570 What is the next term in -13, 35, 157, 389, 767, 1327? 2105 What is next in 7, 56, 139, 256, 407, 592, 811? 1064 What is the next term in -832, -831, -830? -829 What comes next: -2270, -4543, -6816, -9089, -11362, -13635? -15908 What comes next: -169, -166, -173, -196, -241, -314? -421 What comes next: -21, -42, -65, -90, -117, -146, -177? -210 What is next in 32, 111, 242, 425? 660 What is next in -191, -194, -199, -206? -215 What is next in -5, -24, -55, -98, -153, -220? -299 What is the next term in 6462, 12925, 19388? 25851 What is the next term in 46, 89, 132, 175, 218? 261 What is the next term in 34, 62, 100, 154, 230, 334, 472? 650 What comes next: 26, 36, 56, 92, 150, 236, 356? 516 What is the next term in -618, -616, -614, -612, -610, -608? -606 What comes next: 31, 129, 293, 523, 819, 1181, 1609? 2103 What comes next: 5138, 5144, 5162, 5198, 5258, 5348, 5474, 5642? 5858 What comes next: -6139, -12280, -18421? -24562 What is the next term in -30, -61, -106, -171, -262, -385? -546 What is next in -317, -273, -217, -143, -45, 83? 247 What is next in 8, 2, -4, -10? -16 What is next in 31, 13, -31, -107, -221, -379? -587 What comes next: 6054, 6053, 6052, 6051, 6050, 6049? 6048 What is the next term in -321, -320, -319, -318? -317 What is the next term in 55, 91, 127? 163 What is next in 1031, 1032, 1033, 1034, 1035? 1036 What is next in 5195, 5196, 5197, 5198? 5199 What comes next: -1608, -3214, -4820? -6426 What is next in -18, 81, 358, 903, 1806, 3157, 5046? 7563 What is next in 100, 109, 128, 163, 220, 305, 424? 583 What is the next term in 76, 184, 482, 1066, 2032, 3476, 5494, 8182? 11636 What is the next term in 1442, 2881, 4320, 5759? 7198 What is the next term in -21962, -21959, -21954, -21947, -21938, -21927? -21914 What is next in 3, 15, 35, 63, 99? 143 What comes next: 485, 484, 483, 482, 481, 480? 479 What is next in 60, 75, 100, 135? 180 What comes next: -22, -46, -72, -94, -106, -102, -76? -22 What is the next term in 71, 278, 615, 1076, 1655, 2346, 3143, 4040? 5031 What comes next: -9, -33, -103, -243, -477, -829, -1323, -1983? -2833 What is the next term in 17, 15, 21, 41, 81, 147, 245? 381 What is next in 61, 272, 625, 1120, 1757, 2536, 3457? 4520 What is the next term in -10, -36, -78, -136? -210 What is the next term in -2, -9, -16, -23, -30, -37? -44 What is the next term in -19, -88, -203, -364, -571? -824 What is the next term in 1106, 1104, 1102, 1100, 1098, 1096? 1094 What is the next term in 444, 876, 1308, 1740, 2172, 2604? 3036 What comes next: 55, 136, 219, 304? 391 What is the next term in -253, -509, -765, -1021, -1277, -1533? -1789 What is the next term in -96, -189, -282, -375? -468 What comes next: 493, 1893, 4233, 7519, 11757, 16953, 23113? 30243 What is next in -33, -112, -239, -414, -637, -908, -1227? -1594 What is next in 15547, 15545, 15543? 15541 What is the next term in -1, -4, -3, 2? 11 What comes next: -235, -473, -711? -949 What is next in 11, 17, -11, -91, -241, -479? -823 What is next in 2496, 4993, 7494, 9999, 12508, 15021, 17538? 20059 What is next in 61, 261, 597, 1069, 1677, 2421? 3301 What is next in -299, -304, -309, -314? -319 What is the next term in 484, 950, 1404, 1840, 2252, 2634, 2980, 3284? 3540 What comes next: -12, -18, -24? -30 What is the next term in -432, -437, -446, -459, -476, -497? -522 What is the next term in 3377, 3375, 3373, 3371, 3369? 3367 What is the next term in 36, 68, 130, 228, 368, 556, 798, 1100? 1468 What is next in 26, 106, 242, 434, 682, 986? 1346 What is next in 187, 186, 185, 184, 183? 182 What comes next: 265, 258, 251, 244, 237, 230? 223 What is the next term in -54, -58, -68, -90, -130, -194, -288? -418 What is the next term in 1193, 2387, 3581? 4775 What comes next: 143, 118, 77, 20, -53, -142? -247 What comes next: -190, -1626, -5522, -13108, -25614, -44270? -70306 What comes next: 308, 304, 292, 266, 220, 148? 44 What is the next term in 88, 165, 242, 319? 396 What is next in -201, -434, -681, -948, -1241, -1566? -1929 What is next in -6806, -6805, -6802, -6797, -6790, -6781? -6770 What is next in 153, 154, 155, 156, 157, 158? 159 What is the next term in 420, 421, 422, 423, 424? 425 What is the next term in 78, 59,
{ "pile_set_name": "DM Mathematics" }
+ -27. Let u be (1 - (0 - p))*-40. Factor u - 7*z**2 - 17*z - 32*z + 9*z + 12*z**2. 5*(z - 4)**2 Solve 867 - 17*s + 6*s**2 + 118*s - 3*s**2 + s = 0. -17 Let m be (20/(-15))/(2/(-3)). Suppose -m*f + 2*f = f. Determine w, given that -1/2*w**2 + f - 1/2*w = 0. -1, 0 Let d(z) be the second derivative of -z**6/1620 + z**5/108 - z**4/18 - 13*z**3/6 + 21*z. Let k(g) be the second derivative of d(g). Solve k(c) = 0. 2, 3 Suppose -33*t - 89*t + 282 - 38 = 0. Factor -32/5*y - 4/5*y**4 + 4*y**3 - 8/5*y**t + 0. -4*y*(y - 4)*(y - 2)*(y + 1)/5 Let s(a) = -a**4 + 3*a**2 - 26*a + 18. Let b(i) = 3*i**4 - i**3 - 9*i**2 + 77*i - 53. Let w(o) = -6*b(o) - 17*s(o). Factor w(v). -(v - 6)*(v - 1)**2*(v + 2) Let p(l) be the third derivative of -7/30*l**6 - 11/21*l**7 + 0*l - 25/168*l**8 - 22*l**2 + 3*l**3 + 13/4*l**4 + 23/15*l**5 + 0. Let p(i) = 0. Calculate i. -1, -3/5, 1 Let w(x) be the third derivative of 0*x + 4/35*x**7 + 1/8*x**6 + 0*x**4 + 0 + 0*x**3 - 17*x**2 + 1/20*x**5 + 1/28*x**8. Factor w(m). 3*m**2*(m + 1)*(2*m + 1)**2 Let d = -32 + 52. Suppose -3 + 40*c - 30*c**3 - 4 - 10*c**5 - d*c**2 - 8 + 35*c**4 = 0. Calculate c. -1, 1, 3/2 Let u be (-1)/(-5) - (-98)/35. Factor 3*r**4 + r**4 + r**3 - 13*r + 11*r**u - 3*r. 4*r*(r - 1)*(r + 2)**2 Let s(m) be the third derivative of -m**6/420 + 2*m**5/105 - 26*m**2 + m. Factor s(l). -2*l**2*(l - 4)/7 Let k(b) be the second derivative of 0 - 16*b + 2/5*b**4 + 8/25*b**5 + 1/5*b**3 + 1/20*b**2. Suppose k(q) = 0. Calculate q. -1/4 Let k(n) be the second derivative of -n**4/6 - 2*n**3/3 - n**2 + 68*n. Factor k(b). -2*(b + 1)**2 Let w(r) be the third derivative of 2*r**7/105 + 4*r**6/15 + 7*r**5/5 + 3*r**4 - 203*r**2. Find a such that w(a) = 0. -3, -2, 0 Let u = 13263 - 13261. Let 4/11*h + 0 - 2/11*h**u = 0. What is h? 0, 2 Let m(c) be the first derivative of c**6/360 - c**4/24 - 14*c**3/3 + 6. Let s(w) be the third derivative of m(w). Factor s(i). (i - 1)*(i + 1) Suppose t - 6 = -3*s, 37*s = 36*s. Let m(p) be the second derivative of 0*p**4 - 1/28*p**7 + 0*p**2 - 3/80*p**5 - 3/40*p**t + 0*p**3 + p + 0. Factor m(d). -3*d**3*(d + 1)*(2*d + 1)/4 Factor 1/9*h**3 + 5/9*h**2 - 14/9*h + 0. h*(h - 2)*(h + 7)/9 Let q(x) = 4*x**3 + x**2 + x + 1. Let k(w) = -33*w**3 + 186*w**2 + 129*w - 72. Let s(c) = -k(c) - 6*q(c). What is y in s(y) = 0? -1, 1/3, 22 Let q(u) be the second derivative of -u**5/30 - 5*u**4/9 - 17*u**3/9 - 8*u**2/3 - 612*u. What is g in q(g) = 0? -8, -1 Suppose -2*j - 29 = -9. Let i = j - -14. Factor -m**2 - i*m**2 + 2*m**2. -3*m**2 Let b(v) be the third derivative of 0*v**3 + 0*v + 0 + 0*v**4 + 1/315*v**7 + 0*v**5 - 1/360*v**6 - 46*v**2 - 1/1008*v**8. Solve b(h) = 0. 0, 1 Let 126/5*h + 0 + 3/5*h**3 - 69/5*h**2 = 0. What is h? 0, 2, 21 Let q(w) be the third derivative of 10*w**2 + 0 + 1/360*w**6 + 0*w + 0*w**3 + 0*w**4 - 1/1260*w**7 - 1/360*w**5. Suppose q(j) = 0. What is j? 0, 1 Let i(t) = 55*t**2 - 69*t + 6. Let x(f) = -110*f**2 + 139*f - 11. Let p = 29 + -25. Let j(d) = p*x(d) + 9*i(d). Determine y, given that j(y) = 0. 2/11, 1 Let z(w) be the first derivative of w**6/48 - 7*w**5/40 - w**4/32 + 7*w**3/24 + 221. Suppose z(g) = 0. Calculate g. -1, 0, 1, 7 Find d such that -3*d**2 - d - 13*d**2 + 2 - 5*d**5 - 11*d**3 - 6 + 17*d + 3*d**2 + 17*d**4 = 0. -1, 2/5, 1, 2 Find w such that 55*w**2 - 4*w**3 + 3222*w + 33*w**2 - 4*w**4 - 3062*w = 0. -4, -2, 0, 5 Let m(a) = -4*a**2 - 2*a + 168. Let v(x) = 12*x**2 + 9*x - 504. Let i(y) = -7*m(y) - 2*v(y). Factor i(j). 4*(j - 7)*(j + 6) Let h = -21/520 - -93/130. Let n(g) be the second derivative of -h*g**5 - g**3 + 5*g + 0 + 3/2*g**4 + 0*g**2. Factor n(b). -3*b*(3*b - 2)**2/2 Let n = 30384/5 - 6076. Let -n*t**2 - 64/5 + 32/5*t = 0. What is t? 4 Factor -6/11*w**2 + 2/11*w**4 + 10/11*w - 2/11*w**3 - 4/11. 2*(w - 1)**3*(w + 2)/11 Factor 3*r**2 + 776*r - 2*r**2 - 792*r. r*(r - 16) Let z(o) be the second derivative of o**5/50 + 7*o**4/60 + o**3/15 - 3*o**2/10 - 8*o - 3. Factor z(f). (f + 1)*(f + 3)*(2*f - 1)/5 Find u such that -4*u**5 + 0*u + 176/5*u**3 - 112/5*u**2 + 0 + 268/5*u**4 = 0. -1, 0, 2/5, 14 Factor -4107/5 - 222/5*c - 3/5*c**2. -3*(c + 37)**2/5 Let g(w) = 2*w**3 - 10*w**2 - 2*w + 5. Let a(q) = -3*q**3 + 9*q**2 + 2*q - 4. Let x(t) = 5*a(t) + 4*g(t). What is z in x(z) = 0? -2/7, 0, 1 Let y(m) = 9*m**2 - 5*m. Let q(c) be the first derivative of c**3/3 - c**2/2 - 12. Let g(w) = 14*q(w) - 2*y(w). Factor g(p). -4*p*(p + 1) Let j = 9 + -1. Suppose 4 + j = 4*b. Let m(y) = 9*y**2 - y - 7. Let r(g) = 10*g**2 - 2*g - 8. Let o(f) = b*r(f) - 4*m(f). Solve o(s) = 0 for s. -1, 2/3 Suppose 939*u = 937*u - 10. Let s be (-3)/5*(120/32 + u). Let 3/4*b - s*b**3 - 3/4 + 3/4*b**2 = 0. What is b? -1, 1 Suppose 2*j - n - 120 = 2*n, -240 = -4*j - 2*n. Suppose 4*v - 44 = j. Determine t so that t**5 - 18*t**5 + v*t**4 - 18*t**3 - 2*t**2 + 4*t + 7*t**5 = 0. -2/5, 0, 1 Let p(c) be the first derivative of c**6/33 - 6*c**5/55 + c**4/11 - 194. Let p(x) = 0. Calculate x. 0, 1, 2 Let l(x) be the second derivative of 0*x**2 + 8/15*x**3 + 0*x**6 + 0*x**4 - 2/25*x**5 - 18*x + 1/210*x**7 + 0. Factor l(h). h*(h - 2)**2*(h + 2)**2/5 Let x be (3770/(-325) + 12/1)/((-2)/(-4)). Factor -x*q**2 - 4/5*q + 0. -4*q*(q + 1)/5 Let v(h) = 48*h**4 - 20*h**3 - 84*h**2 - 36*h + 20. Let i(t) = 7*t**4 - 3*t**3 - 12*t**2 - 5*t + 3. Let f(s) = 20*i(s) - 3*v(s). Suppose f(m) = 0. Calculate m. -1, 0, 2 Let y(z) be the third derivative of z**8/336 - z**7/210 - z**6/30 + z**5/15 - 8*z**2 + z. Solve y(f) = 0. -2, 0, 1, 2 Let t(x) be the first derivative of -x**6/6 + 6*x**5/5 - 11*x**4/4 + 2*x**3 + 142. Factor t(g). -g**2*(g - 3)*(g - 2)*(g - 1) Let y = 170 - 170. Suppose -2*d + 10 = y, -3*l + 3*d - 2 - 7 = 0. Solve 0 - 1/4*o**l + 1/4*o = 0. 0, 1 Suppose 0 = -27*l - 132*l + 42*l + 234. Determine i so that 6/11 + 2/11*i**l - 10/11*i + 2/11*i**3 = 0. -3, 1 Let l(a) be the third derivative of -6*a**2 + 1/150*a**5 + 0 - 2/15*a**3 + 0*a - 1/60*a**4. Factor l(v). 2*(v - 2)*(v + 1)/5 Let f(j) be the third derivative of j**6/540 - j**5/135 + 7*j**2. Factor f(o). 2*o**2*(o - 2)/9 Let d(f) = -4*f**4 + f**3 + f**2 + f. Let m(y) = 9*y**4 - 30*y**3 - 81*y**2 - 75*y. Let p(r) = 3*d(r) + m(r). Find c, given that p(c) = 0. -4, -3, -2, 0 Suppose -3*v + 0*n + 216 = -n, -288 = -4*v + 5*n. Let z be (0 - (-4)/66)/(12/v). Find m, given that -4/11*m + z*m**3 + 2/11 - 2/11*m**4 + 0*m**2 = 0. -1, 1 Solve -11*f**3 - f**4 + f + 8*f**3 + 7*f**2 + 6*f**3 - 4*f**3 - 4 - 2 = 0. -3, -1, 1, 2 Suppose 10*r - 12 = 7*r. Factor 12*k**r - 7*k**4 + 5 + 0 - 10*k**2. 5*(k - 1)**2*(k + 1)**2 Let f(b) = -b**2 - b + 1. Let a(h) = 147*h**3 + 11*h**2 - 47*h + 11. Suppose 15*v - 10*v + 5 = 0. Let x(o) = v*a(o) + 3*f(o). What is z in x(z) = 0? -2/3, 2/7 Let z = 1877/55 - 305/11. Factor -14/5*s - 2/5 - 16/5*s**2 + z*s**3. 2*(s - 1)*(4*s + 1)**2/5 Let f(t) be the third derivative of t**7/840 + 13*t**6/480 + 23*t**5/240 + 11*t**4/96 + 6*t**2 + 2*t. Solve f(p) = 0. -11, -1, 0 Let w = 191/6 - 127/4. Let c(k) be the first derivative of w*k**3 + 0*k - 1/8*k**2 + 8. Factor c(i). i*(i - 1)/4 Suppose 2*g - 2/17*g**2 - 120/17 = 0. Calculate g. 5, 12 Let 73 + y + 17*y**3 - 75 - 57*y**2 + 18*y + y**3 - 16*y**4 + 38*y**3 = 0. What is y? 1/4, 1, 2 Suppose 370 - 360 = -5*g - 5*d, 2*g + 9 = -3*d. Solve 9/2 + 1/2*f**2 + g*f = 0 for f. -3 Let s(i) be the third derivative of i**7/280 + i**6/96 - i**5/80 - 3*i**4/32 - i**3/6 - 9*i**2. Factor s(p). (p + 1)**3*(3*p - 4)/4 Factor -1/4*u**2 + 0 - 1/2*u. -u*(u + 2)/4 Suppose 17 = 6*o + 5. Let v be (2 - 1)*(4 + -1). Factor -v*k**3 - 3*k + o*k + 3*k - 2*k**2 + k**3 + 2*k**4. 2*k*(k - 1)**2*(k + 1) Let f(i) be the third derivative of i**6/120 + i**4/24 - 2*i**2. Let o(w) = 4*w**2 + 4*w + 2. Let v = 138 - 140. Let t(b) = v*f(b) - 2*o(b). Factor t(z). -2*(z + 1)**2*(z + 2) Let h(c) be the first derivative of 2*c**5/75 - 17*c**4/30 + 22*c**3/5 - 81*c**2/5 + 144*c/5 + 57. Find p, given that h(p) = 0. 3, 8 Let v(g) = -20*g**3 - 24*g**2 - 6*g - 2. Let k(u) = -u**3 + u - 1. Let t be 5*(-4)/(-90)*9. Let h(w) = t*k(w) - v(w). Factor h(f). 2*f*(3*f + 2)**2 Let o = 136 - 116. Determine p, given that -o - 15*p**2 + 10*p**2 - p**2 + 11*p**2 = 0. -2, 2 Suppose -p - 2*p = 48. Let u = 31 + p. Let 36*n**3 - u*n + 7*n + 72*n**2 - 8*n - 32 = 0. Calculate n. -2, -2/3, 2/3 Let v =
{ "pile_set_name": "DM Mathematics" }
1 + 2. Suppose -4*n = -z + 10, 2*n + 50 = -3*z - 2*n. Let s be i(z). What is the highest common factor of s and 18? 6 Suppose 547*d = -27*d + 24108. Let z(k) = 51*k + 3. Let h be z(9). What is the greatest common divisor of h and d? 42 Suppose -7*l + 5*l = s - 25, 3*s = -2*l + 15. Suppose -l*u + 82*u = 3484. What is the greatest common factor of 221 and u? 13 Let w be ((-156)/130)/(1/(-35)). What is the greatest common factor of w and 3486? 42 Let w = 196 - 140. Let d = 141 - w. Let c = d - 30. Calculate the greatest common factor of c and 33. 11 Let o(z) = 18 - 17 + 58 - 2*z. Let y be o(10). What is the highest common factor of 26 and y? 13 Suppose 166 = -5*y - 2*j + 4*j, j - 168 = 5*y. Let d be (-18)/((-15)/21 - -1). Let f = y - d. Calculate the greatest common divisor of f and 319. 29 Let z = 100 + -179. Let x = 68 - z. Suppose 0 = 2*o - 2*w - 102, 3*o + 2*w = 3*w + x. Calculate the greatest common divisor of 432 and o. 48 Suppose 0 = -2*r - 2*c + 66, 3*r - 5*c = 5*r - 69. Suppose 3*u = -r*u + 1225. Calculate the greatest common divisor of u and 5. 5 Let i(h) = 4*h - 44. Let m be i(21). Suppose -m + 10 = -10*o. Suppose 12 = j + 3*f, -4*f = -2*j + 40 - 6. What is the highest common factor of j and o? 3 Let b be (1/(-1))/(2 - 1). Let a be (74 - -1) + (4 - 3) + b. Calculate the greatest common divisor of a and 135. 15 Let h(d) = -21*d**2 + 7*d - 82. Let f be h(10). Let u be ((-1)/2)/(32/f). What is the highest common divisor of u and 55? 11 Let q = -1121 + 1126. Calculate the highest common divisor of q and 10. 5 Let o be (0 - 1)*(-415)/(-166)*(-2 - 72). Let a(x) = -2*x - 2. Let s be a(-3). Let p = 33 + s. What is the greatest common factor of o and p? 37 Let q = -31 + 51. Let v be (408/q)/((-4)/(-30)). Let x = -103 + v. Calculate the highest common divisor of x and 20. 10 Suppose -5*a = 15, 4*a = -l - 5 - 3. Let g = -563 - -566. Suppose l*b + g*o - 7*o - 380 = 0, -5*o + 113 = b. What is the highest common divisor of b and 28? 14 Suppose 2*v = 4*z - 262, -z - 6 = 3*v - 75. Let o be (-1330)/(-8) - 1 - (546/(-104))/(-21). What is the highest common divisor of o and z? 33 Let m = 79 + -56. Suppose -23 + 6 = -f. Let g = m - f. Calculate the highest common divisor of 18 and g. 6 Let j be (5/6)/(-6 + (-876)/(-144)). Let i(n) = n**3 - 10*n**2 + 31*n + 2. Let x be i(j). Calculate the highest common divisor of 39 and x. 39 Let z = -9 - -495. Calculate the greatest common divisor of z and 90. 18 Suppose -31752 = -367*h - 221*h. Let r(v) = 2*v**3. Let b be r(1). Calculate the greatest common divisor of b and h. 2 Suppose d = 2*d - 2. Let c(b) = b**2 - 10*b - 34. Let w be c(13). Suppose 3*l - d*g - 405 = g, -w*g - 285 = -2*l. What is the highest common factor of 13 and l? 13 Let b(c) = c**2 - 18*c + 71. Let u be b(14). Let k = 65 - 46. Let a = k - 4. Calculate the highest common divisor of u and a. 15 Let j = 63 - 60. Suppose -2 = 2*o, -j*s = -s + 5*o - 7. Calculate the highest common divisor of 162 and s. 6 Let u be 1 - -9 - (-1)/(-1). Suppose 106*a - 2272 = -1318. What is the highest common divisor of u and a? 9 Suppose 5*z + 2*l = 1676, -74*l + 69*l = -z + 346. What is the greatest common factor of z and 400? 16 Let b(h) = 2*h**3 + 44*h**2 + h - 2*h - 12 - 3*h - 52*h**2. Let i be b(5). Calculate the greatest common factor of 60 and i. 6 Suppose -79*u - 49833 = -128*u. What is the highest common divisor of 63 and u? 9 Suppose 4*c + 72 = 25*w - 22*w, w = -4*c - 8. What is the highest common factor of 580 and w? 4 Let k be ((-72)/5)/((-1)/15). Let y = 46456 - 46402. Calculate the highest common factor of k and y. 54 Suppose -8*h + 59494 + 6631 + 5435 = 0. Calculate the highest common divisor of 10 and h. 5 Suppose -169*o + 173*o - 176 = 0. Suppose -i - 10 = 3*r, 0 = -5*i + 3*i - 3*r - 23. Let l = -2 - i. Calculate the greatest common factor of o and l. 11 Let a(f) = -f**2 + 10*f + 11. Let y be (-1)/(-4) + 70/8. Let t be a(y). Suppose 819*x - 1013*x + 5820 = 0. What is the highest common divisor of t and x? 10 Let p(i) = 15*i + 85. Let a be p(-5). Let j = a - -44. What is the highest common divisor of j and 6? 6 Let j = -12570 + 12820. Calculate the greatest common divisor of 475 and j. 25 Let v be ((-1064)/(-57))/((3/3)/6). Let o be ((-92)/69)/(2/(-105)). What is the greatest common divisor of v and o? 14 Let a = -841 + 962. Let p(g) = g**2 + 11. Let q be p(0). What is the highest common factor of a and q? 11 Let q = -217 - -3456. Calculate the greatest common divisor of 237 and q. 79 Let z = 37 - -191. Let h = z + -60. What is the greatest common divisor of h and 96? 24 Let h be 2/(-6) - (-51086)/42. Calculate the greatest common divisor of 114 and h. 38 Let c = 16 - 10. Let q be c/(-3) - (-7 - -1). Suppose 649 = 4*x - 2*d + 133, 376 = 3*x + q*d. Calculate the greatest common factor of 16 and x. 16 Let i be -4 - (-50)/18 - (-6)/27. Let o be 73*(3 - i/(-1)) - 2. Suppose o = 7*u - 4*u. Calculate the highest common factor of u and 12. 12 Let x(g) = -g - 20. Suppose -12*r - 15 = -11*r. Let n be x(r). Let s = n - -130. Calculate the greatest common factor of 25 and s. 25 Let j(u) = 36*u**3 - 2*u**2 + 2*u. Suppose 4*d = -16, 2*d = -f - 3*f - 4. Let s be j(f). Calculate the greatest common factor of 36 and s. 36 Let q(h) = h**2 + 9*h - 122. Let z be q(-23). What is the highest common divisor of z and 1080? 40 Suppose -11*c + 22*c = 39*c - 40796. What is the highest common factor of 94 and c? 47 Let m be 66/110 + (-38781)/(-15) + 0 + -2. Calculate the greatest common divisor of m and 760. 152 Suppose -3*f = -3*d - 144, -226*f + 224*f + 4*d = -84. What is the greatest common factor of 2466 and f? 18 Let f = 976 + 520. Calculate the greatest common divisor of f and 22. 22 Let t(v) = -2105*v - 10389. Let n be t(-5). Calculate the highest common divisor of 1717 and n. 17 Let c be (-226)/(-6) - 2664/999. Let x(l) = 3*l**3 - 7*l**2 + 3*l - 7. Let a be x(3). What is the greatest common divisor of c and a? 5 Let g(o) = o**3 + 10*o**2 - 9*o + 60. Let r be g(-7). What is the highest common factor of 54 and r? 54 Let t = 8803 + -8758. Suppose -q = -4*q + 75. What is the highest common divisor of q and t? 5 Let h(q) = -q**3 + 25*q**2 + 52*q + 58. Let k be h(27). Suppose k*t + 41 = 3*v - 6, 4*t = v - 29. What is the highest common divisor of v and 27? 9 Suppose 2*n - 20 = -0. Let x be (-36)/(-48) + (-1086)/(-24). What is the greatest common factor of x and n? 2 Let b be (-25)/(-15) + 13 + 304/(-24). Calculate the greatest common factor of b and 1294. 2 Let f = 17986 - 11566. Calculate the highest common divisor of 20 and f. 20 Let t = -186 - -121. Let z be 1356/26 + 10/t. Suppose 4*k - z = r, k - r = 4*r - 6. Calculate the greatest common divisor of 14 and k. 14 Let p be (3 - 4)*(1 - 6). Suppose -4*c + 288 = t - 35, 2*c = p*t + 167. What is the highest common factor of c and 297? 27 Let i(v) = -v**3 + 55*v**2 - 99*v + 18. Let h be i(53). What is the highest common factor of h and 1? 1 Let l = 943 - 935. Let y(x) = 43*x - 228. Let g be y(l). Calculate the greatest common divisor of 1276 and g. 116 Suppose 11*o + 6*o = 391. Let k(s) = -2*s**2 + 51*s + 55. Let h be k(o). Suppose 3*m = 7*m - 40. What is the highest common factor of h and m? 10 Suppose 4*q - v + 273 = 0, 325 + 13 = -5*q - 2*v. Let f = -26 - q. Suppose 4*z = 2*m - f, -28 = 2*m - 5*m - z. Calculate the highest common factor of m and 22. 11 Let m(z) = 48*z - 82. Let d = -319 + 321. Let t be m(d). Suppose 0 = a + 3 - 4. Calculate the highest common factor of a and t. 1 Suppose 111*n + 96 = 117*n. Calculate the greatest common divisor of n and 512. 16 Let o = 3891 + -3761. Calculate the greatest common divisor of o and 2665. 65 Let r = 255 + -242. Suppose -12*b + r*b = 253. What is the highest common factor of 11 and b? 11 Let g be ((-95)/(-15) + 1)*3. Suppose 2*u + g = -9*u. Let v(p) = 9*p**2 + 8*p + 2. Let z be v(u). What is the greatest common divisor of 22 and z? 22 Let f be 1*((2 - (-105)/(-49)) + 648/28). Calculate the greatest common factor of f and 25. 1 Let l be 6 + 0 - 28/(-70)*10. Suppose 0 = -2*s - 5*h - 0*h + 75, -5*s + 5*h = -205. Calculate the greatest common factor of s and l. 10 Let q = -2942 + 3138. Calculate the highest common divisor of 5488 and q. 196 Let o(s) = s + 17. Let r be o(-9). Let k
{ "pile_set_name": "DM Mathematics" }
= -217. What is the hundreds digit of j? 1 Suppose 0 = -3*t + 55 + 47. What is the units digit of t? 4 Let x be (-2)/(-4) - 27/(-2). Suppose -14 = -0*z - 2*z. What is the units digit of 38/x - (-2)/z? 3 Let p(o) = -o**3 + 3*o**2 + 6*o - 6. Let c be p(4). Suppose 3*m + 5 = -10. What is the units digit of c*((-15)/2)/m? 3 Suppose 4*f - 16 + 0 = 0. Let k be (4 + 0)*20/f. Suppose k = 7*u - 2*u. What is the units digit of u? 4 Let s = -229 - -424. Suppose -4*w = -3*r - 0*w + 121, -5*w - s = -5*r. What is the tens digit of r? 3 Suppose 4*k - 149 = p, -k - 5*p - 2 = -13. What is the tens digit of k? 3 Let j(q) = q**2 + 4*q - 28. What is the tens digit of j(9)? 8 Let c = 8 - -9. Suppose -v - v + c = -k, 3*k + 1 = v. What is the tens digit of v? 1 Let a(i) = -16*i - 1. What is the hundreds digit of a(-8)? 1 Let u be ((-9)/(-4))/(2/(-8)). Let i be (-5)/(-1) - u/(-3). Suppose 3*o - i - 34 = 0. What is the units digit of o? 2 Suppose 3*a - 43 = 2*a. What is the units digit of a? 3 Suppose 11 - 2 = 3*a. Suppose -a*z - z = 0. Suppose -4*d + 20 = -z*d. What is the units digit of d? 5 Let a(o) = -o + 7. Let l(i) = i**3 - 7*i**2 + 2*i - 7. Let s be l(7). Let z be a(s). Suppose 0 = -4*d - z*d + 44. What is the tens digit of d? 1 Let v(i) = -i**2 - 7*i - 8. Let w be v(-4). Suppose 5*k - 7 = w*k. What is the units digit of k? 7 Let b(c) = c**2 - c + 3. Let p be (-6)/(-3) + -9 + 3. Let s be b(p). Suppose 52 = 5*x - s. What is the units digit of x? 5 Let d be ((-4)/(-4))/((-1)/2). What is the units digit of (-3 + -15)*1/d? 9 Let q(f) = -f**3 - 11*f**2 + 12*f + 2. What is the units digit of q(-12)? 2 What is the tens digit of 266/8 - (-5)/(-20)? 3 Suppose 74 = 4*q - 142. Suppose 0 = t - 5*x - q, 0*t + 142 = 3*t - 5*x. Suppose -5*z = 2*u - 62, 0 = -z - z + 4*u + t. What is the tens digit of z? 1 Suppose -10*z + 13*z - 33 = 0. Suppose -3*i = -l + 6*l - z, 2*l = 3*i - 4. What is the units digit of l? 1 Suppose -s = 2, -5*s = -2*z + 15 + 31. Suppose 2*v - z = 4*r, -2*v + r + 36 - 6 = 0. What is the units digit of v? 7 What is the units digit of (-1)/(-1) + (1 - -8)? 0 What is the units digit of 2*-2 + 336/6 + 0? 2 Let z(n) = 6*n + 1. Let s(d) = d**2 - d + 2. Let m be s(0). What is the tens digit of z(m)? 1 Let y(f) = 1 + 0 + f**2 - 7*f + 3. Let c be y(7). Suppose -4*x - c*v + 8 = 0, -3*x + 10 = x + 2*v. What is the units digit of x? 3 Let d = -52 - -113. Suppose 5*i = 114 + d. Let f = i - 21. What is the tens digit of f? 1 Let x = -4 - -5. What is the units digit of ((0 + x)*1)/1? 1 What is the units digit of 17 - (3 + -2 + -4)? 0 Suppose -13 = 5*s + 2. What is the units digit of s/(-6) + 30/4? 8 Suppose -7 - 13 = 5*r + 5*h, -5*r - 14 = 3*h. Let f be (-3)/((-6)/2) - r. Suppose f*k = -k + 9. What is the units digit of k? 3 Let p = -28 - -70. What is the units digit of p? 2 Suppose 5*x = -c + 33, 0 = c - 2*x - 33. What is the tens digit of c? 3 Suppose 0 = -4*r + 3*l - l + 58, -5*r = -4*l - 77. Let x = -12 + r. What is the units digit of x? 1 Let w be 3*((-30)/(-9))/(-5). Let q = w + 42. What is the tens digit of q? 4 Let f(m) = 2*m**2 - 1. Let y be f(-1). Let c(l) = l**3 - l. Let d be c(y). Suppose d = 4*b - 2*i - 42, 5*i - 2*i = -3*b + 9. What is the units digit of b? 8 Let m(l) = -2*l - 5. Let s be m(-4). Suppose 4*d - 2*d - 15 = s*w, -2*w = 2*d. What is the units digit of d? 3 Let t = -5 - -15. Suppose -6*c = -4*c - t. What is the units digit of (c - -1) + -2 - 1? 3 Suppose -4*g - 64 = 3*z, g - 2*g - 16 = -2*z. Let v = g - -23. What is the units digit of v? 7 Let y(i) = 5*i - 41. What is the tens digit of y(20)? 5 Suppose -w = 3*u - 41 + 3, -160 = -5*w - 5*u. Let r = -11 + 30. Let j = w - r. What is the units digit of j? 0 Suppose 3*j + 30 = 4*j. Let h(b) = 6*b**2 - b - 1. Let c be h(-1). Suppose n - 21 = -5*t, -4*n - 4*t + j = -c. What is the units digit of n? 6 Suppose -5*p + 426 = -3*p. What is the tens digit of p? 1 Suppose a - 4*l + 4 - 19 = 0, 4*l = 3*a - 21. Suppose -5*p + 4*z - a*z = -77, 0 = -4*z - 8. What is the tens digit of p? 1 What is the hundreds digit of 14*((-282)/(-21) - -2)? 2 Let a(s) = -s**3 + 14*s**2 - 8*s + 15. Let x(p) = -p**3 + 13*p**2 - 7*p + 15. Let w(d) = 3*a(d) - 4*x(d). What is the units digit of w(10)? 5 Let h(w) = -5*w - 1. Let s be h(1). Let m = s + 7. What is the units digit of m? 1 Let y(o) = 10*o**2 - o - 3. What is the hundreds digit of y(4)? 1 Let r = -3 + 4. Suppose -25 + 0 = -5*a. What is the units digit of a - (r - -2)/3? 4 Let n = 58 - 36. What is the tens digit of n? 2 Suppose -3 = 3*z - 9. Let n be 4 - -2*1 - z. Suppose -41 = -3*i - n*t, -3*i + 6*t - t - 4 = 0. What is the units digit of i? 7 Let z(y) = y + 3. Let l be z(6). What is the units digit of (6/4)/(l/24)? 4 Suppose -5*h = -0*h - 25. Let k = h + -3. Suppose -k*l + 1 = -9. What is the units digit of l? 5 Suppose 3*o + 7 = 1. Let n be (0 - 1/(-2))*o. What is the tens digit of n - 6/(-3)*6? 1 Suppose -v + 6*v + 30 = 0. Let i be (v/4)/((-2)/4). Suppose 2*q + 16 + 33 = i*m, q = 5*m - 70. What is the units digit of m? 3 What is the units digit of 131 - (0 + 3)/3? 0 Suppose -6031 = 4*p - 847. What is the units digit of (-4)/14 + p/(-28)? 6 Suppose -u + 235 = 4*u. What is the units digit of u? 7 What is the units digit of (2/(-1))/((-7)/231)*1? 6 Let a = 0 - -5. Suppose 2*v + 2 = q - 4, a*q + 3*v = 69. What is the units digit of q? 2 Suppose -3*s = -46 + 7. Suppose 4*z + s = -3*x + 2*z, 2*x - 4*z - 18 = 0. Let g = 4 - x. What is the units digit of g? 5 Let w(n) = 5*n**2 + n**3 - 8 - 3*n + 3*n**2 + 2*n**2. Let j be w(-10). Let y = j - 10. What is the tens digit of y? 1 What is the tens digit of ((-4)/(-10))/(2 + (-756)/380)? 3 Let c(a) = 2*a**2 + 8*a - 34. What is the units digit of c(-10)? 6 Let b = 14 + -1. Suppose -7 = -5*s + b. What is the units digit of s? 4 Suppose -4*y = 16, d + 2*y + 12 = -y. Suppose -4*m = 8, 0 = -2*q - d*q - 3*m + 164. Suppose 2*p - q = -3*p. What is the tens digit of p? 1 Suppose -u - 2*h = -10, 0 = 4*u + 6*h - 4*h - 22. Suppose -4*r - u*c + 44 = 0, c - 14 = -2*r + 3. Let s = -5 + r. What is the units digit of s? 1 Suppose 5*y - 1 = 4. Suppose 4*c - 9 = -y. What is the units digit of c? 2 Let w be 5/(-5) - (1 + 2). What is the tens digit of 135/10 - 2/w? 1 Suppose 10*u - 1573 - 2107 = 0. What is the tens digit of u? 6 Let o(n) = -n**3 - 8*n**2 - 9*n - 7. Suppose 0*r = -5*m + 2*r - 46, -5*r = -15. Let b be 1/4 - (-58)/m. What is the units digit of o(b)? 7 Let b = -2 - 9. Let g = -3 - b. What is the units digit of g? 8 Suppose 3*n + 3*c - 60 = 2*c, -3*c - 67 = -4*n. Suppose 2*a = n - 7. What is the units digit of a? 6 Let g(d) = d + 3. Let c be g(8). Suppose -3*i + c + 25 = 0. Suppose 0 = -5*l + 3*l + i. What is the units digit of l? 6 Let j be 5 + -3 - (2 + -2). Suppose 4*u = -j*u + 174. What is the units digit of u? 9 Let b = 2 + -32. Let m be 166/10 + (-12)/b. Let f = m - 6. What is the units digit of f? 1 Let j(s) = -s**2 + 7*s - 4. Let n be j(6). Suppose v = y - n*y - 2, -5*y = 20. What is the units digit of v - 1 - 5/(-5)? 2 Let m = 39 - -13. What is the tens digit of m? 5 Let d(a) = -a + a - 2*a + 5. Let h(r) = r**3 + 8*r**2 - 4. Let p be h(-8). What is the tens digit of d(p)? 1 Suppose 0 = -4*r + r + 27. What is the units digit of r? 9 Suppose 60 = 4*j + v - 8, 3*j = v + 44. Suppose 18 = 9*q - 3*q. Suppose 5*p + 4*c = j, -29 = -5*p - q*c - 12. What is the units digit of p? 4 Let i be -2 - (-2 - 84/2). Suppose 0 = 5*v + 25, 4*m - 2*m - i = 2*v. Suppose 0*s - 2*s = -m. What is the units digit of s? 8 Suppose q = 6*q, 5*i - 175 = 5*q. What is the units digit of i? 5 Let a(u) = 8*u. Let j be a(4). Let t = 49 - j. What is the tens digit of t? 1 Let v = -29 - -14. Let p = v - -32. What is the tens digit of p? 1 Suppose x + 222 + 112 = 5*w, 340 = 5*w + 5*x. What is the tens digit of w? 6 Suppose -2*o + 52 = -154. Suppose -2*n - 9 = -o. What is the units digit of n? 7 What is the tens digit of 54 - (0/6 - -3)? 5 Let g = 8 + -5. Suppose -3*b + 33 = -g. What is the tens digit of b? 1 Let m be -3 + 1 + (-4)/(-1). Suppose -3*o - 5*h + 1 = 0, -m*o + 0*o - 3*h = 0. What is the tens digit of 0 + o/(3/(-10))? 1 Suppose l + l = 12. Suppose l = -j + 1. Let w = -4 - j. What is the units digit of w? 1 Let f = -74 + -10. What is the units digit of f/(-5) +
{ "pile_set_name": "DM Mathematics" }
*u**3 Find the third derivative of 22*c**2 - 47*c**2 + 12 - 46*c**2 + 2380*c**5 + 1985*c**5 - 2*c**2 wrt c. 261900*c**2 Suppose -14 = -2*d - 4*r, r = 4*d - 4*r - 15. Find the second derivative of 8*v**2 - d*v**3 + 4*v + 0*v + 0*v**2 - 1 wrt v. -30*v + 16 Let b(m) = 2*m**2 - 4*m - 22. Let r(i) = i**3 + 4*i**2 - 10*i - 43. Let p = -46 - -44. Let h(u) = p*r(u) + 5*b(u). What is the first derivative of h(y) wrt y? -6*y**2 + 4*y Suppose 2*u = -5*k - 0*u + 23, 0 = -2*k + 3*u - 6. Differentiate -31 - 206*h - 2*h**3 + 206*h - k*h**3 with respect to h. -15*h**2 Let r = -22 - -24. Let h be (-5)/r*-2 + 0. What is the third derivative of -6*t**2 - t**2 + h*t**6 + 0*t**2 wrt t? 600*t**3 Suppose q = -4*s + 38, -5*s - 28 + 8 = -q. Suppose -40 = -5*j + 5*i, j - 2*i + 4 = 3*j. Find the second derivative of -375*v + q*v**5 + 416*v - 10*v**j wrt v. 400*v**3 Let t(v) be the first derivative of 7/3*v**3 - 5 + 0*v**2 - 68*v. Differentiate t(f) wrt f. 14*f Suppose 5*g = 21 - 6. Suppose 5 = 4*w - g. Find the third derivative of 4*d**2 - d**4 - 5*d**4 + 0*d**2 + 4*d**w wrt d. -144*d Let z = -292 + 302. Differentiate 131 - 183 - 89*f - z*f with respect to f. -99 Let w be 16 - (-963)/(-81) - 2/18. Let n(d) be the first derivative of 21/2*d**2 + w + 7/2*d**4 + 0*d**3 + 0*d. What is the second derivative of n(z) wrt z? 84*z Let y(z) = 1980*z - 897. Let i(h) = 989*h - 444. Let v(m) = 7*i(m) - 3*y(m). What is the first derivative of v(k) wrt k? 983 What is the second derivative of -485 - 483 + 968 + 2056*d**3 - 1560*d wrt d? 12336*d Let g(h) = -h**3 + h + 1. Let v(n) = -2*n**2 + 6*n - 54 + 53 - 21*n**3 + 71. Let x(w) = -6*g(w) + v(w). What is the third derivative of x(f) wrt f? -90 What is the second derivative of -681*p**2 + 868*p**2 + 966*p - 992*p**2 - 914*p**2 wrt p? -3438 Suppose -11*c + 8 + 25 = 0. Differentiate -9*l + 15*l + c*l + 73 + 19*l wrt l. 28 Let h(k) be the first derivative of -363*k**4/4 + 2849*k**2/2 + 5406. Find the second derivative of h(z) wrt z. -2178*z Suppose 6*d + 768 = 18*d. Let m = d - 61. Find the third derivative of 34*q**2 - 5*q**6 - 34*q**m - 36*q**3 + 70*q**3 wrt q. -600*q**3 Let w be (1 - -4) + (-1)/(1/1). Suppose -70 - 2 = -w*p. What is the third derivative of -19*r**2 + 38*r**2 - 15*r**2 - p*r**3 - 18*r**2 wrt r? -108 What is the derivative of 2973*b**2 - 4491 + 7670 + 6752 wrt b? 5946*b Let l(a) = 636*a**2 - 99*a + 2183. Let c(k) = -1908*k**2 + 264*k - 6548. Let q(s) = 3*c(s) + 8*l(s). What is the first derivative of q(r) wrt r? -1272*r Differentiate -7918594*n**2 + n - 4*n**3 - 3*n**4 + 7918631*n**2 - n + 7648 with respect to n. -12*n**3 - 12*n**2 + 74*n Let s(w) be the first derivative of -15*w**4/8 - 38*w**3/3 - 19*w**2/2 + 23. Let b(x) be the second derivative of s(x). Differentiate b(o) wrt o. -45 Suppose 13*w - 4*w = 306. Find the second derivative of 0*v**2 - 2*v**2 - w*v**2 - 75*v - v**2 wrt v. -74 Let w = 4738 - 4735. Let a(q) be the first derivative of w*q**2 - 10/3*q**3 + 10 + 0*q. What is the second derivative of a(u) wrt u? -20 Let d(s) = -835*s**2 - 2*s - 3733. Let y(u) = -1671*u**2 - 5*u - 7457. Let c(w) = 5*d(w) - 2*y(w). What is the first derivative of c(g) wrt g? -1666*g Let c(d) be the third derivative of 12*d - 7/6*d**5 + 3*d**2 + 0*d**7 + 0*d**4 + 0 + 0*d**6 + 1/8*d**8 + 0*d**3. Find the third derivative of c(u) wrt u. 2520*u**2 Let b(m) be the second derivative of 6793*m**8/56 + 17*m**4/12 - 2*m**3/3 - 54*m - 3. What is the third derivative of b(z) wrt z? 815160*z**3 Let x = 56 + -54. Let l be (x - 2) + (0 - -1). What is the derivative of -2 + 17*c + 2 - 5 - l wrt c? 17 Let w(r) be the first derivative of -3*r**5/5 - 17*r**4/4 + 5*r**3/3 + 37*r**2 + 909. What is the third derivative of w(x) wrt x? -72*x - 102 Let m(r) = -113*r**3 - 46*r**2 + 1960*r + 5. Let o(c) = 55*c**3 + 23*c**2 - 979*c - 3. Let n(b) = -3*m(b) - 5*o(b). Find the second derivative of n(a) wrt a. 384*a + 46 Let z(m) be the third derivative of 231*m**6/8 - 1017*m**4/8 - 69*m**2 - 8*m. What is the second derivative of z(y) wrt y? 20790*y Let r(z) = -2*z**4 - 65*z**3 + 12*z**2 - 2148. Let h(v) = 2*v**4 + 65*v**3 - 14*v**2 + 2145. Let m(d) = 6*h(d) + 7*r(d). Differentiate m(g) wrt g. -8*g**3 - 195*g**2 Let k(w) = 5*w**3 - 2*w**2 + 16*w + 83. Let o(q) = 2*q**3 - 4*q - 2. Let m(r) = k(r) + 4*o(r). Find the first derivative of m(a) wrt a. 39*a**2 - 4*a Let m(r) be the first derivative of -r**6/6 - 3*r**4/4 + 358*r**3/3 + 4579*r**2/2 + 3558. What is the second derivative of m(c) wrt c? -20*c**3 - 18*c + 716 Let a(c) = -2*c**4 - c**2 + 2. Let l(f) = 2*f**5 + 6*f**4 + 285*f**3 - 1349*f**2 - 6. Let j(t) = -3*a(t) - l(t). Find the third derivative of j(m) wrt m. -120*m**2 - 1710 Let l(z) = -2*z**3 + 510*z**2 - 24*z - 1. Let v(h) = -2*h**3 + 499*h**2 - 25*h. Let x(q) = 4*l(q) - 5*v(q). Find the second derivative of x(i) wrt i. 12*i - 910 Let s(h) be the third derivative of -1301*h**9/504 - 1073*h**5/60 + 2*h**2 - 140*h. What is the third derivative of s(y) wrt y? -156120*y**3 Suppose k + 14 = 45. Find the third derivative of 29*m - m**2 + 32*m - 101*m**3 + 9*m + k*m wrt m. -606 Let i(t) = 1654*t**2 - 300*t + 12. Let r(a) = -830*a**2 + 149*a - 6. Let m(p) = -4*i(p) - 7*r(p). What is the second derivative of m(g) wrt g? -1612 Let x(z) be the second derivative of -z**8/14 + 4*z**7/21 + 12*z**5/5 + 65*z**4/2 + 5*z**2/2 - 1010*z - 3. Find the third derivative of x(i) wrt i. -480*i**3 + 480*i**2 + 288 Let x be 2*1/(16/24). Find the third derivative of -11*j**2 + 4*j - 25*j**3 - j - 237*j**3 - 14*j**2 + 17*j**x wrt j. -1470 Let m(k) be the second derivative of 5*k**2 + 1/3*k**6 + 0 + 1/2*k**3 - 1/42*k**7 - 51*k + 0*k**5 + 0*k**4. Find the second derivative of m(f) wrt f. -20*f**3 + 120*f**2 Let p = -1 - -1. Let g(f) = 141*f + 1001. Let a be g(-7). Find the first derivative of 19*m**3 + p + 17 + a wrt m. 57*m**2 What is the second derivative of -430*i**5 - 714*i**5 - 1594*i - 1596*i**5 - 1642*i wrt i? -54800*i**3 Let c(h) be the third derivative of -677*h**6/60 + 215*h**3/2 + 1123*h**2. What is the derivative of c(r) wrt r? -4062*r**2 Find the first derivative of 828592*r - 415164*r + 1063 - 414579*r wrt r. -1151 Suppose 0 = 2*u + 2*g + 2, -6*g + 3*g = 4*u + 3. Suppose u = 33*b - 39*b + 36. Find the third derivative of 8*c**6 - b*c**2 - 3*c**2 - 38*c**6 - 11*c**2 wrt c. -3600*c**3 Suppose 0 = 25*a - 23*a - 6. Find the second derivative of -156*u**a - 191*u - 24606*u**4 + 23*u**3 + 24607*u**4 wrt u. 12*u**2 - 798*u Let p(d) = -20*d**3 + 98*d**2 + 306*d + 4. Let v(a) = -24*a**3 + 101*a**2 + 307*a + 5. Let r(t) = -5*p(t) + 4*v(t). Find the second derivative of r(f) wrt f. 24*f - 172 Differentiate 107*h**2 + 15*h**3 + 14*h**3 - 5630 + 3586493*h - 5*h**2 - 3586493*h with respect to h. 87*h**2 + 204*h Suppose 0 = -j - 2, 5*r - 111 = -4*j + 26. Find the third derivative of 19 + 10 - r + 44*s**2 - 57*s**3 wrt s. -342 Let k(t) be the first derivative of -5*t**6/2 + 94*t**3/3 - 1329*t**2 - 3096. What is the second derivative of k(l) wrt l? -300*l**3 + 188 Suppose -314 + 1054 = 10*q. What is the second derivative of 74*x**3 - 60*x**4 - q*x**3 + 17*x wrt x? -720*x**2 Suppose -o = -2, -3*o + 10 + 23 = 3*j. Suppose -j*c = -12*c + 39. What is the derivative of 14*y**2 + 9*y**2 + 11 + c - 48*y**2 wrt y? -50*y Find the third derivative of -20250*p**2 + 20253*p**2 - 3*p**3 - 644*p**5 - 1025*p + 3117*p**5 + 3*p**3 wrt p. 148380*p**2 Let j(c) = -6*c**2 + c + 236*c**3 - 9*c**2 - 1 + 16*c**2. Let z be j(1). What is the second derivative of -275*m**3 + z*m**3 + 16*m + 7*m wrt m? -228*m Let p(m) = -4998*m - 1871. Let k(h) = 4998*h + 1871. Let i(a) = 6*k(a) + 5*p(a). Differentiate i(w) with respect to w. 4998 What is the second derivative of -1782*h + 12*h**2 - 801*h**2 - 533*h**2 - 124*h**2 - 129*h**2 wrt h? -3150 Let j(h) be the third derivative of 0*h**4 + 46/105*h**7 + 0 - 265*h**2 + 109/6*h**3 + 0*h + 0*h**6 + 0*h**5. What is the derivative of j(m) wrt m? 368*m**3 Suppose 5*c = 6*c - 2*q - 5, 3*q = -4*c + 9. What is the third derivative of -11*b**2 + 5 - 5 - b - 107*b**c - 33*b**2 wrt b? -642 Let a(b) be the second derivative of 1463*b**6/30 + 29*b**4/12 + 678*b. What is the third derivative of a(r) wrt r? 35112*r Let a(g) = 11*g**3 + 0*g**2 - g**4 - 1 - 11*g**3 + g**2. Let f(t) = -6*
{ "pile_set_name": "DM Mathematics" }
e form j*b**3 + h*b + u*b**4 + k + n*b**2 and give h. 1 Rearrange -24*h**2 + 4*h - 2*h + 106*h**2 to x*h**2 + p + w*h and give x. 82 Rearrange 2436 - h - 1291 - 1300 to the form i + f*h and give f. -1 Rearrange -219 + 5*b**3 + 2*b**4 - 4*b**4 + 217 - 2*b to the form p + u*b + x*b**4 + f*b**3 + s*b**2 and give p. -2 Express -27 - 31 + 27 + 3 + 0*b**2 - 2*b**2 as q + o*b**2 + z*b and give o. -2 Express 178*l**3 - 2*l + 96*l**2 - 98*l**2 - 3*l**4 + 6*l**4 as m*l + s*l**4 + b*l**3 + p*l**2 + y and give b. 178 Rearrange -4*d**2 - 172*d - 171*d + 1 + 345*d - 1 to the form g + s*d**2 + q*d and give q. 2 Rearrange -11 + 11 - 6*k + (-k + 3*k - 4*k)*(4 + 0 - 5) - k + 0 + 0 + 5*k + k - 2*k + (k - 3*k - k)*(-1 - 2 + 5) to the form q*k + n and give q. -7 Rearrange 7*k - 4*k - 2*k + 9 + 4*k**3 - 2*k**4 + k**2 - 3 to q*k**2 + t*k + v*k**3 + r*k**4 + w and give r. -2 Express (3 - 2 + 0)*(2 + 2 - 2 + (2 - 3 - 1)*(3 - 4 - 1))*(-690*y + 617*y + 323*y) as r*y + d and give r. 1500 Express ((1 + 0 - 3)*(290*g + 17*g + 425*g) + 4*g - 4*g - 2*g)*(-3*g - g + 6*g) in the form d*g**2 + h + b*g and give h. 0 Express 87*i**3 - 30*i**3 + 11*i**3 + (4*i - 2*i - i)*(i + i**2 + i**2 + 1 - 4*i**2) in the form q*i**2 + u*i + h + n*i**3 and give n. 66 Rearrange 4*p**3 - 11*p + 14*p - 5*p**3 + 2*p**2 + 22*p to the form w + n*p**2 + y*p**3 + u*p and give y. -1 Express 0 + 4 + 20*g**3 - 2 + 25*g**2 - 2*g**3 - 22*g**3 - 2*g as b*g**3 + y + o*g**2 + n*g and give y. 2 Express 4*g**2 + 5 - 13319*g**4 - 3 - 2*g**3 + 13354*g**4 in the form i*g + m*g**3 + o*g**2 + f*g**4 + s and give o. 4 Rearrange 0*q + q + q + (-9*q - 5*q - 5*q)*(-10 + 0 - 1) to u + g*q and give g. 211 Rearrange 188*k**4 - 7*k**2 - 186*k**4 + 10*k**2 - k**2 - 3*k - 34*k**3 + 1 to the form r*k**4 + v*k**3 + c + b*k**2 + i*k and give c. 1 Rearrange -36*z - 15*z - 2*z**3 + 20*z + 1 to the form h*z**2 + l + x*z**3 + b*z and give b. -31 Express 19 + 5*s**2 + s - 23 + 4 in the form c*s + k + m*s**2 and give c. 1 Rearrange (-2*h - 3*h + 8*h)*(-4 - 2 + 4) + (2 - 2 - h)*(-1 + 3 + 0) + (-1 + 1 + 3*h)*(1 + 2 - 1) + 2*h - h + 2*h + 4 + h - 4 to the form b + r*h and give r. 2 Rearrange 15 + 65*w**3 - 2*w**2 - 2*w + 6*w**2 + 3*w**4 - 12 - 67*w**3 to the form g*w + a*w**4 + i*w**3 + m + z*w**2 and give a. 3 Express -2560*d**2 + 5110*d**2 - 96*d - 2552*d**2 in the form k*d**2 + u*d + y and give y. 0 Rearrange 19 + 171*x - 19 + 412*x + 320*x to a*x + s and give a. 903 Express 4*m + 5*m - 4*m + (1 + 0 + 0)*(0*m - 3*m + 5*m) - 5 + 18*m + 5 in the form z*m + l and give z. 25 Express (3*y - 3*y - y)*(3 - y**2 - 3) + 6*y**3 + 2*y**3 - 2*y**3 + 25*y**3 - 13*y**3 + 33*y**3 in the form z*y**3 + t + u*y + n*y**2 and give z. 52 Rearrange -157306*q**3 + 157316*q**3 - 27 + q + 0*q to the form f*q**2 + o*q + v + a*q**3 and give o. 1 Express 4*p + 9 - 9 + 1 - 1 - p - p - 2*p + p + (3 + 4 - 5)*(2 - 2 + 2*p) + (-1 + 2 + 0)*(24 - 7 + 9)*(0 - 2*p + 0) in the form r*p + s and give s. 0 Rearrange -27 + 12*r**3 - 2*r**2 + 29 - 29*r**3 + 3*r to a*r**3 + z*r + u + d*r**2 and give a. -17 Express 2*s - 2*s - s + (3 - 5 + 0)*(s + s - 4*s) + 0 + 2*s + 0 - 2*s + 2*s + s - 20*s + 3 + 5 - 8 as k + g*s and give g. -14 Express j**2 + 11*j - 23*j + 6*j - 2*j**2 as m*j**2 + s + v*j and give v. -6 Express 31*a**4 + 1 - 57*a**4 - 7*a**2 + 5*a**2 in the form l*a**2 + s*a + v + f*a**3 + o*a**4 and give l. -2 Express (2*u + 5*u - u)*(-8*u + 3 - 10*u - 7*u) as i*u**2 + w*u + x and give w. 18 Express -5 + 74*m**4 - m**2 - 2*m + 3*m**3 - 5*m**3 - 76*m**4 - 2*m**2 in the form s*m**2 + y*m**3 + l*m + t + h*m**4 and give h. -2 Rearrange 5 + 3 + 55*c - 7 + 6 to w*c + n and give n. 7 Rearrange (d**2 - 65*d**2 - 22*d**2)*(-d + 0*d - d) - 2*d**3 + 0 + 0 to the form g*d**3 + s*d + h*d**2 + a and give g. 170 Rearrange 430*p**3 + 10*p**2 + 10*p**2 + 10*p**3 + 4*p**2 - 23*p**2 to the form k*p**2 + f*p + u*p**3 + m and give k. 1 Rearrange (-2 + 7 + 2 + (-1 + 1 + 1)*(-2 + 10 - 6))*(2*q - 4 + 3*q - 3*q) to x + j*q and give x. -36 Rearrange -3 - 20*u**2 + 21*u + 3 - 25*u to the form y + i*u + z*u**2 and give i. -4 Express -3*h + 25 + 59 - 49 + 4 + 31 in the form d + l*h and give l. -3 Rearrange -79*h + 57*h - 203*h - 361*h + 42*h to r*h + b and give r. -544 Rearrange (533*d - 335*d + 1169*d)*(d + 1 - 1) to the form k + r*d**2 + l*d and give r. 1367 Rearrange 31*c**3 + 25*c**3 + 17*c**3 - 67*c**3 + 21*c**2 to z*c**2 + i*c + j*c**3 + y and give j. 6 Express -5 - 2 + 120*g - 102*g + 0 as m + w*g and give m. -7 Rearrange 19*t + 10*t - 37*t + 3*t**2 + 288*t**2 + 10*t to the form z + r*t + f*t**2 and give r. 2 Rearrange -2*a - 2979*a**2 + 2959*a**2 - 8*a**3 - 6 + 3 to s*a**3 + l*a + c*a**2 + k and give s. -8 Express (-18 - 26*b + 18 + (0*b + b + b)*(-3 + 5 + 0))*(6 + 0 + 2) as z + t*b and give z. 0 Express -13*t**2 + 19 + 18*t**3 - 9 + 2*t - 2*t**4 - 9 - 20*t**3 in the form k*t**3 + p*t**4 + v*t + z*t**2 + y and give p. -2 Express 5 + 10 + 4 - 23 - 324*r + 5 as n*r + d and give n. -324 Express -z**2 - 3*z**3 + 48 + z + 1235*z**4 + 4*z**3 + 1227*z**4 - 2463*z**4 as x*z**2 + g*z**3 + u + n*z**4 + c*z and give c. 1 Rearrange -6*y**2 - y**4 + 1 + y - 2*y**4 - y**2 + 3*y**2 + y**3 to the form t + p*y + k*y**4 + j*y**2 + b*y**3 and give k. -3 Express (-4 - r**2 + 4)*(-2*r + 0*r + r) + (-4 + 17 - 11 - 2*r)*(-r**2 + 0*r**2 - r**2) as n*r + z*r**3 + f*r**2 + u and give f. -4 Rearrange -15*s + 18*s - 7*s - 5*s + 5*s + 2*s + (0 - 1 - 1)*(2*s - 2*s + 2*s) - 2*s + 2*s - 3*s to k + i*s and give i. -9 Rearrange (0*u - 3*u + 14*u)*(-5*u**3 + u**3 - u**3) + (28*u**4 + 5*u**4 - 5*u**4)*(0 + 1 - 2) to the form w*u**2 + b + i*u + t*u**3 + h*u**4 and give h. -83 Rearrange -l - 3*l**4 - 3846 + 3837 + 2*l**3 + 2*l to the form d + w*l**4 + p*l + c*l**3 + i*l**2 and give p. 1 Express -81*w + 162*w + 2*w**4 + 3*w**3 - 81*w + 2*w**2 in the form p*w**2 + x*w**4 + o + h*w + r*w**3 and give r. 3 Express (5*s + 17 - 17)*(0 + 1 - 2)*(-497*s + 250*s + 1 + 245*s) as x*s + r + u*s**2 and give x. -5 Express -2*q + 2*q**2 + 1324 + 651*q**3 - 2650 + 1324 + (0*q - q + 0*q)*(4 + 2*q**2 - 4) in the form p*q**2 + y + l*q**3 + s*q and give p. 2 Express -2*z**2 - 31*z + 1 - 30*z + 16*z + z**2 in the form x*z**2 + l*z + a and give l. -45 Express 25*v**2 + 9 - 10 + 2 + (-6*v + 3*v + 2*v)*(-v + 0*v + 0*v) as b*v**2 + m*v + a and give b. 26 Express -7*x**2 - 97 + 46 - 13*x**2 + 48 as d + b*x**2 + k*x and give d. -3 Rearrange (1 - 2*h - 1)*(0 - 3 + 1)*(-1 + h + 1)*(-4 - 7 + 9 + 87*h) to the form v + c*h**3 + q*h + i*h**2 and give i. -8 Rearrange (1 + 3 - 2)*(-36 - 138*v**2 + 25*v**2 + 37) to l*v + f + a*v**2 and give a. -226 Express -50*c**2 + 2*c**3 + 30*c**2 - 5 - 3*c**3 as y + r*c**3 + k*c**2 + u*c and give y. -5 Rearrange 252*y**3 + 211*y**3 - 458*y**3 + 172*y + 2 to the form z*y**3 + x*y + r*y**2 + m and give m. 2 Rearrange -57*u**2 + 69*u**2 + 77 - 74 - 8*u**3 to the form t + n*u**3 + f*u**2 + k*u and give t. 3 Express -91*t + 13*t - 82*t as d + u*t and give u. -160 Express (3*v - 3*v + 2*v)*(v**3 + 0*v**3 + v**3) + 281*v**4 + v**3 + 160*v**4 - 149*v**4 as d + b*v**4 + f*v + c*v**2 + h*v**3 and give d. 0 Rearrange 269*s**2 + 106*s**2 - 19*s**2 to the form f*s + t*s**2 + r and give t. 356 Express 171*r + 1831*r + 19*r as g + o*r and give o. 2021 Rearrange (-13 + 44 + 15 + (-2 + 2 - 2)*(-1 + 2 + 1) + 3 - 2 - 2 - 1 - 3 + 5)*(-3*h**2 + h**2 + 4*h**2) to the form s*h**2 + f*h + b and give s. 84 Express (-n - 2 + 2)*(335 + 303 - 168) in the form f*n + h and give f. -470 Express -305*y - 150*y - 99*y as p*y + m and give p. -554 Express 2 - 2 - 2*s**2 + 4 - 4 - 5*s**2 + (7 - 10 - 18)*(4*s - 4*s + s**2) + 0*s**2 - 8*s**2 + 4*s**2 in the form p + t*s + l*s**2 and give t. 0 Express -8 + 19*i - i**2 - 23*i - 2*i**2 - 23 + 3*i in the form g*i + p + h*i**2 and give g. -1 Rearrange 2*t - 2*t**4 - 7*t**3 + 2*t**3 + 7*t**3 + (2 + t - 2)*(-14620*t - 7*t**3 + 14620*t) to u + n*t**2 + z*t**3 + v*t**4 + g*t and give v. -9 Rearrange -15 + 0 - w - w - 2*w**2 - 3 to g + h*w**2 + i*w and give h. -2 Express 49 - 9*k - 25*k - 10 + 10 + 18*k as v + o*k and give v. 49 Express 1 - w**2 + 10*w**3 - 9*w**3 + 3*w + 2*w**3 - w**3 as j + u*w + r*w**2 + q*w**3 and give r. -1 Express -2 + 2 - w + (0 + 0 + 1)*(0*w - 5*w + 4*w) + 19 + 68 - w + 27 as f + x*w and give x. -3 E
{ "pile_set_name": "DM Mathematics" }
(1/3)*v*v*(v**(-1/4))**(-46)) assuming v is positive. v**(-359/15) Simplify (((f/(f*(f*f*f**0)/f)*f*f/(f/((f/f**(2/3))/f)))**(4/5))**(2/29))**(-3/29) assuming f is positive. f**(16/4205) Simplify (y*y**(-27)/y*y**(2/35)*(y**3)**(-29))**(-43) assuming y is positive. y**(171484/35) Simplify ((a**(-17))**(3/31)/(a**6)**(-16/9))**(-12/5) assuming a is positive. a**(-3356/155) Simplify ((o*o**13)/o**10)/((o/((o/((o**3*o*o)/o))/o))/o**22) assuming o is positive. o**21 Simplify (((w*w*(w*w**(7/4))/w*w*w)/((w/(w/w**12)*w)/w))/((w**(-10)/w)/(w/(w*w**2*w))))**(-2/55) assuming w is positive. w**(-7/110) Simplify (((q/q**30)/q**33)/(q/((q/(q/((q*q**38)/q)*q)*q)/q))**2)**31 assuming q is positive. q**310 Simplify ((g**(-26)*g**11)**(1/52))**(2/17) assuming g is positive. g**(-15/442) Simplify ((h*(h*h**(3/5)*h)/h)/h**(-1/6))/(((h**(1/6)/h)/h*h*h)/(h**2*h))*((h*h**(-5)/h*h)/(h/(h/h**(-5))))**(13/4) assuming h is positive. h**(177/20) Simplify (t/(t**(-3)/t))/t**6*(t*(t**(11/2)*t)/t)**17 assuming t is positive. t**(219/2) Simplify v*v**3*v/(v*v**1)*(v*v**(-1))**(-1/18)*(v**(-1)*v)**8/((v**(-2/7)*v)/((v**(2/3)*v)/v*v)) assuming v is positive. v**(83/21) Simplify ((i*i*i/i**(-31)*i*i*i/i**(2/45))/((i*i*i**(-1/6))/i)**(-2/15))**(-18/5) assuming i is positive. i**(-3336/25) Simplify (((w*w**(1/2)/w)/w*w**(-1)*w)/(w**(-2)*w**(2/3)*w))/(w**0*w*(w*(w**(1/2)/w)/w*w*w)/w)**(-5/3) assuming w is positive. w**(7/3) Simplify ((f**(-2/3)*f*f**(-13/6)/f)/((f/((f*f**(26/7))/f))/f*f*f/f**(-29)))**26 assuming f is positive. f**(-16445/21) Simplify ((t**13)**16/((t/t**1*t*t)/t)**(-50))**(-4/7) assuming t is positive. t**(-1032/7) Simplify ((d/d**(-3/10)*d/d**(-11)*(d*d**(-11))/(d*d**(1/12)/d))**(-21))**(1/37) assuming d is positive. d**(-1351/740) Simplify ((j*j**5)**(-13)*((j*j**(2/17))/j)/j*(j/j**(2/11))/j)**39 assuming j is positive. j**(-576615/187) Simplify (y*y**(-6/13))/(y*y**(1/23))*y**(-12)*y**(-40) assuming y is positive. y**(-15699/299) Simplify (((r**(-2/29))**28)**14)**42 assuming r is positive. r**(-32928/29) Simplify s**9/(s**(1/5)*s)*s**2/s**8*(s**4*s*s*s**(-5))/(s**(-2))**0 assuming s is positive. s**(14/5) Simplify (((p/(p**(2/5)/p)*p)/p*p/(p/p**(-2/9)))/(((p/p**(1/3))/p)/p)**(4/7))/((p/(p/(p/p**1*p*p*p))*p*p*p**(-1))/(p**8/p**3)) assuming p is positive. p**(989/315) Simplify ((j/((j/(j**(-17)/j))/j))/j)/j**(-25)*(j**(-19))**(-5/21) assuming j is positive. j**(242/21) Simplify ((a*a**(-12)*a**3/a)/(a**(-2/5)*a*a*a**(-14)))**(34/3) assuming a is positive. a**(578/15) Simplify ((n**(1/12))**(8/9)*(n**(-7))**(-25))**26 assuming n is positive. n**(122902/27) Simplify (t**(3/4)*t**6*t**(-1)/((t/t**(2/19))/t))/((t**0)**(-12)*(t/t**(2/3))**39) assuming t is positive. t**(-543/76) Simplify ((j**(1/3))**(-6/13)/(j**(1/3))**(-6/7))/(((j**(-1/5)*j)/(j*j**4/j*j*j))/(j**(1/7)/j**(-2))) assuming j is positive. j**(3401/455) Simplify ((m*m**(-8))/m**(-5))**(22/7)*((m**(-2)*m)/(m/(m*m**(7/5))))**46 assuming m is positive. m**(424/35) Simplify (((y*(y*(y*y**(14/13))/y*y*y*y)/y*y**(-10/11))**(-4/15))**18)**20 assuming y is positive. y**(-57216/143) Simplify (((u**(1/5)/u)/u*u/(u/((u*u*u*u/(u/(u*u*u**(-23)/u*u*u))*u)/u)))/(u**(-18)*(u*u/u**(-2/41))/u))**(4/9) assuming u is positive. u**(-1516/1845) Simplify (((p/(p/(p*p*p**1)*p)*p)**(1/11)/((p**(2/19)*p)/(p*p**(1/4)*p*p)))**(2/13))**(-26/9) assuming p is positive. p**(-2021/1881) Simplify ((k**(7/2)/(k*k**(4/3)))/((k*k**(3/4)*k)/k*k**(-6)/k))/(k**10*k/k**(-4)*k)**(-14) assuming k is positive. k**(2765/12) Simplify ((((f*f*f**(1/8))/(f**(-6)/f))/(f**3*f/f**(1/4)))**(-2/177))**(-11/7) assuming f is positive. f**(473/4956) Simplify y*y**21*y/(y*y**(6/17))*(y*y**(3/4)/y)/(y/y**(-41)) assuming y is positive. y**(-1333/68) Simplify o/((o/((o/(o/o**(-7/2))*o)/o))/o*o*o)*(o/(o*o/o**18*o))/o*o**(-5/2)/o*(o/o**39)/o assuming o is positive. o**(-32) Simplify (a**(-2/7))**(-7/3)*a**(4/23)/((a/a**(-2/13)*a)/a) assuming a is positive. a**(-281/897) Simplify (m**(1/5)*m*m*m**(-1))**5/((m/((m/m**(-6))/m)*m*(m**(-7)*m)/m*m)/(m**(1/2)*m*(m*m**6)/m)) assuming m is positive. m**(47/2) Simplify o**1/o**(2/9)*o*o/(o**(-2)/o)*o**4*(o/(o*o**1*o*o))**(-27)/((((o**(-3)/o)/o)/o)/(o/((o*o**(-2)*o)/o))) assuming o is positive. o**(889/9) Simplify (w**14/(w*w/w**(-3/4)))**(6/17)/((w**2)**19*(w*w*w**6*w*w)/w**(-1/3)) assuming w is positive. w**(-4525/102) Simplify (k/(k*k*k**0))**(-2)/((k*(k/(k*(k*k/k**(2/7))/k))/k)/(k**1/k))*(k**(5/3)*k*k*k/(k*k**(1/6)))/(k*(k/k**(-1/2))/k)**35 assuming k is positive. k**(-324/7) Simplify ((y/(y**(26/5)/y))**(-3/23)*(y**(-2/9)*y)/y**(1/26))**29 assuming y is positive. y**(902683/26910) Simplify (t*t**2)**(11/4)/((t*t*t**(3/10)/t*t)/(t/t**7))*(t**0)**(-1)/((t/(t/(t**(2/17)*t)))/(t*(t/((t*t**(5/6))/t)*t)/t*t)) assuming t is positive. t**(1019/1020) Simplify (r**(4/5)*r**(-3/7))**(2/83)*((r**(-2))**(-38))**(-4) assuming r is positive. r**(-883094/2905) Simplify ((s**(-11)/s*s/s**(-5)*s**9/(s/(s*s/s**5)))**(2/31))**(-1) assuming s is positive. s**(2/31) Simplify h**3/h**5*h*h/(h**2/h*h)*h/(h*(h/((h**(-2/11)*h)/h))/h*h)*h**(-1/5)/(((h*h/(h*h**6*h))/h)/h)*h**(-1/5)*h**(1/2) assuming h is positive. h**(541/110) Simplify (((w**3/w)**40*(w*w**(-5/7))/w**(2/11))**(-14))**(-4) assuming w is positive. w**(49344/11) Simplify ((((r*r*r**(-21))/r)/((r**(-19)*r)/r))/(r**25*r*r*r*r*r**4*r))**3 assuming r is positive. r**(-105) Simplify ((f/(f**(1/3)/f))**(-1/12))**25/(f**1*f**3*(f**(4/3)*f)/(f/(((f**(-5)/f)/f)/f))) assuming f is positive. f**(-29/36) Simplify ((c*c**(-3/17)/c*c)**(3/17)*c*c**(-1)*c/(c*c**(-27))*c)**(2/29) assuming c is positive. c**(16268/8381) Simplify ((l**(2/65)*l**(1/13))/(l**(-1)*l**17*l))**(4/5) assuming l is positive. l**(-4392/325) Simplify (p*p*p**(-7)*p)**12/(p**(5/6)*p*p*p**(-31)*p*p) assuming p is positive. p**(-131/6) Simplify c*c*c**4*c*(c**(-7/3)*c)/c*c**(9/8)*c*c*c/(c/c**(3/2))*c assuming c is positive. c**(247/24) Simplify (((k*k**(-4/9))/(k/(k*((k**(-1/13)*k*k)/k)/k)*k))/((k*(k**(3/10)/k)/k)/(k/k**(-4/7)*k)))**(-2/101) assuming k is positive. k**(-223/4095) Simplify ((g/(g*g/(g/g**3)))**(-37))**(-1/11)*(g**(-4/11)*g*g**1)/((g*g/g**(-3/8)*g*g)/(g*g**(-2/21))) assuming g is positive. g**(-22037/1848) Simplify ((g**(1/2)/(g*g**(-2/13)*g))/(g**3/(g/(((g**(-7)/g)/g)/g))))/(((g/((g*g/(g**(5/4)*g*g))/g)*g)/g)/g*g**(-2/17))**(-7/3) assuming g is positive. g**(30841/2652) Simplify (y*((y*y*y*y*y**(1/50))/y*y)/y*y/(y/(y**(-21)*y)))/(y**(-26)*y/y**(2/19)) assuming y is positive. y**(8669/950) Simplify ((((v/(v*v**(-2/3)*v))/v)**(-3/14)*(v/(v/(v**(-1/4)*v)))**(-1/63))**(9/4))**0 assuming v is positive. 1 Simplify ((x/(x/x**25))/x)**(-11/2)/((x/(x**(-6)/x))/x**(1/37)) assuming x is positive. x**(-5179/37) Simplify (o**(-2)/o*o/(o*(o**(-2/13)*o)/o))**(3/5)/((o/o**6*o*o*o*o**(2/3))/(o**5*(o/(o/(o/(o**6*o)*o)))/o*o)) assuming o is positive. o**(-73/195) Simplify (l**(-14)*l/((l/l**0)/l)*l**(1/29)*l**12)**3 assuming l is positive. l**(-84/29) Simplify ((p**(-1/64))**4/((p/(p*p**(-24)))/p*(p*p*p/p**(5/7))/p*p))**(-6/19) assuming p is positive. p**(8517/1064) Simplify k/k**(-38)*k*(k*k**(-34))/k*(k**(-22)/k)/(k*k/k**40) assuming k is positive. k**21 Simplify (a**4/a**(4/5))**(-42)*a**(-4)/(a*a**3)*(a**(-2)*a)**(-5/11) assuming a is positive. a**(-7807/55) Simplify (v/v**3*v*v**(1/16)*v**7*v*v**(2/33))**(2/19) assuming v is positive. v**(3761/5016) Simplify ((((m*m**3*m)/m**(-7))**(-44/7))**(-20))**(-2/13) assuming m is positive. m**(-21120/91) Simplify ((w**(6/7)*w)/((w/w**(-2/3))/w))**13*w**1*w*w**1/w*(w**1)**(-48) assuming w is positive. w**(-641/21) Simplify ((i**(-1/2)/(i/((i/((i**1*i)/i))/i))*(i**(1/4))**(-2))**(-1/36))**(-9/2) assuming i is positive. i**(-3/8) Simplify (((p**(-5)*p)/p*p**14)/(p**(-4/7)/p**(1/23)))**(2/49) assuming p is positive. p**(3096/7889) Simplify (y**(-2/19)/(y*y**(-13)*y))**(-48)/((y*y*y**(-2/9)/y*y)/y*y/y**(-1)*y*(y**(-1))**17) assuming y is positive. y**(-87163/171) Simplify ((i/(i**(-4)/i))/i*i*i*i**23*i*(i/(i*i**(-41)*i))/(i**(-28)*i))**(1/18) assuming i is positive. i**(49/9) Simplify (((v*v**(-1/13))/v**(-3))/(((v*v**(-1/3))/v)/v)**(-13/7))/(v*(v*(v/v**2*v)/v*v)/v*v**(-1/9)*v)**(-16) assuming v is positive. v**(25937/819) Simplify ((z**2/(z*z**(-8/7)))/(z**(-8))**(1/10))**(-2/25) assu
{ "pile_set_name": "DM Mathematics" }
1/6? 1/6 Which is the closest to -1/15? (a) 2/11 (b) 3/7 (c) -1/30 (d) -0.341 (e) -2 (f) -1/3 c What is the nearest to -100.5 in -0.08, 3, -3, 4? -3 Which is the closest to -33? (a) -0.009 (b) 140 (c) 3 (d) 16 a Which is the closest to 29? (a) -2/17 (b) -2 (c) -2/5 (d) -0.11 (e) -6 d What is the closest to -13 in 2/27, 0.4, 0.2, -1.9, 4, 85? -1.9 Which is the nearest to -12? (a) -5 (b) -0.583 (c) 2/169 (d) 0 a Which is the closest to 1? (a) 439 (b) -14 (c) -0.04 (d) -8 (e) -1 c Which is the nearest to 0.04? (a) 56 (b) 13178 (c) 8 c What is the closest to 15/364 in 18, -2, 0.4, 23? 0.4 What is the nearest to -0.1 in 17, 15, 0.4, -26, -2? 0.4 What is the closest to 1/21 in 8/15, -2, 1/5, -3, 12, 4? 1/5 Which is the closest to -1? (a) -0.2 (b) 3/3557 (c) 12 (d) -1 d What is the nearest to 1.8335 in 1, -1, -0.4, -1.6? 1 Which is the closest to 2/631895? (a) 2/5 (b) -0.3 (c) -2 (d) 2/13 d What is the closest to 6 in -4/9, 5/59, 36? 5/59 What is the closest to 119/3 in -0.9, -5, 5, 1/16? 5 Which is the nearest to 151? (a) 0.7 (b) -0.1 (c) 0.2 (d) 2/7 (e) -0.09 a What is the closest to 7 in 0.2, 2, -1/87, -0.4, 0.297? 2 What is the closest to -1 in 4, 55, -0.3, -1.35, 39? -1.35 Which is the closest to 2? (a) -2/5 (b) 0.4 (c) -17 (d) 25/8 (e) 5577 d Which is the closest to -0.1? (a) 1.8589 (b) 90 (c) 3 a What is the nearest to 0.1 in 57, -3, 193/4, -4/7? -4/7 Which is the nearest to -0.7? (a) -2/3 (b) 953 (c) -0.26611 a What is the nearest to -41 in -0.73, -0.5, -4031/4? -0.73 What is the nearest to 9.4 in -5, 0.2, 33, -26? 0.2 Which is the closest to -2/3? (a) 402 (b) 3/26 (c) -3/449 c Which is the nearest to 1/3? (a) -4 (b) -11/7 (c) -3/10 (d) 2/23 (e) 5 d Which is the closest to 125? (a) -591 (b) 2/5 (c) 0.6 c What is the closest to 151/6 in 0.093, 0, 3, -5, 4? 4 What is the nearest to 3/94 in 278, -1, -2/13, -1/3, 8? -2/13 Which is the nearest to -0.05? (a) -10 (b) -2/3 (c) -2 (d) -0.5 (e) 0.3 (f) 37 e Which is the nearest to 273454/7? (a) 4 (b) -2 (c) 3 a Which is the nearest to -204/7? (a) -0.4 (b) -5 (c) 2/737 b What is the nearest to 0.2 in 4585, 3.3, -1, -1/2? -1/2 Which is the closest to -279635? (a) -2 (b) 0 (c) 32 a What is the closest to 0.1 in 226, -65, 100? -65 Which is the closest to 6/7? (a) 153 (b) -1 (c) 38 (d) 2/163 d What is the closest to -7 in -2, -14, 71, 0.2, -71? -2 What is the nearest to -0.1 in -3/8, 1/6, 8.69, 196? 1/6 Which is the closest to 284? (a) -1/4 (b) 15/7 (c) 28 (d) -21 (e) 5 c What is the nearest to 92 in -11, -2/219, -9, -3? -2/219 Which is the nearest to 0.4? (a) -1.2 (b) 327.1 (c) -1 (d) 0 d Which is the closest to -36? (a) 714 (b) -6 (c) 7/6 b Which is the nearest to -5? (a) 2/7 (b) 196/13 (c) 1.34 a What is the closest to -1/2 in -118, -17/3, 394? -17/3 Which is the closest to 0.2? (a) 8 (b) 1.43 (c) 2/35 (d) -8.16 c What is the closest to -7.586 in 4, -2, 281/5? -2 Which is the nearest to 0.02? (a) 0.1 (b) 24685 (c) -2/11 (d) -4 (e) 0 e Which is the nearest to -1/2? (a) -4 (b) -109 (c) -1 (d) -7/18 (e) 3/8 (f) 5 d What is the nearest to 72 in -10, -3, -0.013, 1.18, -0.1? 1.18 What is the closest to -1/3 in 46, 4/5, 4, -2/61, 8? -2/61 Which is the closest to 1960.1? (a) -1 (b) -0.4 (c) -4 (d) 1/3 (e) -5 (f) 0.4 f Which is the nearest to 7? (a) -0.038 (b) -761 (c) 0.2 c What is the closest to -356 in -47, 269, 4/5? -47 What is the nearest to 2 in 3/2, -0.4, 5, -4/1495? 3/2 Which is the closest to -2? (a) -14148/29 (b) 14/5 (c) -2/9 c What is the closest to 6 in 0.7, -2, 0.5, -2/11, -23172, 3? 3 Which is the closest to -0.6? (a) -1/3 (b) -1818287 (c) -5 a What is the closest to -2/27 in 5/3, -6/11, -17, -0.056, 0.3? -0.056 What is the nearest to -4478 in -5, 3/14, -7/8? -5 Which is the nearest to -69? (a) 0.8 (b) 3/5 (c) 0 (d) 3170 c Which is the nearest to 2? (a) -2 (b) 1248 (c) 12346/5 a What is the nearest to -3 in -0.4, -3, 595.4, -4/9? -3 Which is the closest to -0.1? (a) 2/13 (b) 18401 (c) 0.4 (d) 2 (e) -3 a What is the nearest to 1/6 in -32, 176/15, -2/7, 0.06, 1? 0.06 What is the closest to -33 in 2, -4/3, -1/4, -7, 2226, 0.3? -7 What is the nearest to 11 in 3.1, -1/4, 0, -2/55? 3.1 What is the closest to -2 in 1698, 519, 2/13, 5? 2/13 What is the nearest to -4620 in 13, 2, -3? -3 What is the closest to -2 in 3, 8/3, 738? 8/3 Which is the nearest to 3? (a) 35 (b) -3/5 (c) -2/5 (d) 181/3 (e) 2 e Which is the nearest to 2/25? (a) 39 (b) -0.4 (c) -38.4 (d) -2/11 d Which is the closest to 8/3? (a) 3/281 (b) 1 (c) 0.4 b Which is the closest to -6? (a) 3.47 (b) -1 (c) 1 (d) -2 (e) -0.3 d Which is the closest to 126? (a) -3 (b) 3/7 (c) 20 (d) -0.084 (e) 0.4 c Which is the closest to 0? (a) -0.3 (b) 0.117 (c) -393.1 (d) -0.6 b Which is the closest to 9/7? (a) 5 (b) 142.2 (c) -5 a What is the nearest to 9.9 in 59.1, 2, -0.3, -4, -117? 2 What is the closest to 0.1 in -0.14, 160, 42, 7, 0? 0 Which is the nearest to -162? (a) 0 (b) 0.4 (c) 2/7 (d) -11 (e) 1.3 (f) -3 d What is the closest to 492 in -13, 1, -228? 1 What is the closest to 764 in -0.06, -2, 79, -0.5? 79 What is the nearest to -3.804 in -1, -8, 4425? -1 What is the closest to 4 in 2, -5, 18329? 2 Which is the nearest to 39? (a) 13 (b) -4 (c) 353 a What is the nearest to -2/9 in -1569, -0.54, -1? -0.54 Which is the closest to 1? (a) 4/7 (b) -2/11 (c) 71277/11 a Which is the closest to -92? (a) -4/5 (b) 3 (c) 1/6 (d) 5 (e) -14/9 (f) -11.7 f Which is the closest to 0.1? (a) -0.4 (b) -2 (c) -27633 (d) -4 (e) -10 a What is the nearest to -2/21 in 2607/5, -0.08, 11/5? -0.08 What is the nearest to -1 in -4, -0.3, 43/121, 30, -0.15? -0.3 What is the closest to -1/2 in 9, -3, -2/107, -9? -2/107 What is the nearest to 319 in -44, 2, -21? 2 What is the nearest to 2/5 in -250899, 1/16, -1/5? 1/16 Which is the closest to 0? (a) -17511787 (b) 5 (c) -2/3 c What is the nearest to 2/25 in -2, 0.4, -1/3, 486, 0.1? 0.1 Which is the closest to 4/51? (a) -1 (b) -65 (c) 158 (d) -4/3 (e) -4 a What is the nearest to 23114 in -18, -0.05, 4, -79? 4 What is the nearest to -1/2 in 2/599, -1/2, -11, -1, 97, 0.5? -1/2 What is the closest to 1 in 0, 0.5, -12/5, -27539? 0.5 Which is the nearest to 1? (a) -4 (b) 14 (c) -5685 (d) -2 d What is the nearest to 6 in 1/3, 1.1, 10/13, -1707, 1/4? 1.1 Which is the closest to 5/4? (a) 6/143 (b) 0.5 (c) 6/10321 (d) 0.4 (e) 1/5 b Which is the nearest to 7.27? (a) -6 (b) 0 (c) 358 b Which is the nearest to -0.1? (a) 5/3 (b) 2/9 (c) 0.03 (d) -72 (e) 141 c What is the closest to -2/3 in 117/2, 1/3, 2.11, 11? 1/3 Which is the nearest to 0.1? (a) 65 (b) 0.3 (c) 1 (d) -47 (e) -0.5 b Which is the closest to -0.5? (a) 0.048 (b) 17/5 (c) 5 (d) 54 a What is the nearest to -13/2 in -49, 3, 0, -0.3, -9, 360? -9 Which is the closest to 2/3? (a) -467 (b) -1/13 (c) 139 (d) -213 b Which is the closest to 2? (a) -0.5 (b) 3/2992 (c) 0.5 (d) -2/15 (e) 4 (f) 5 c Which is the closest to -2? (a) -0.3 (b) 1149855 (c) -58 (d) 3/7 a Which is the closest to -3/16? (a) -4 (b) 0 (c) -46/11 (d) -2 (e) -2.6 b What is the nearest to 1 in -6/5, 1/3, 2, -0.3429? 1/3 What is the closest to 4/5 in -1/2, 4/97, 0.3, 928? 0.3 What is the closest to 1.5 in 1/2, -2/9, 646, 0.02? 1/2 Which is the nearest to -1/17? (a) 2/205 (b) -13 (c) 3 (d) 4 (e) 5 a What is the nearest to -2/7 in 1/6, -0.033, 47/27, 0.4? -0.033 Which is the nearest to -0.1? (a) 4 (b) 1.437 (c) 22/19 c Which is the closest to -0.3? (a) -3 (b) -16 (c) -31 (d) -1.1 (e) 2 (f) 0 f What is the nearest to -1 in -1.4, -0.1, 2, -2/55, 2/359? -1.4 What is the closest to -2/3 in 1/26, -3/4, -0.6, -109.3, 1/7? -0.6 Which is the closest to 0.1? (a) -0.2 (b) 134 (c) -2 (d) -15.9 (e) 2 a Which is the nearest to 3? (a) -5 (b) 14/121 (c) -1/10 (d) 10.9 (e) -3 (f) 2 f What is the closest to 0.6 in -4/605, 2/45, -3, -1/5? 2/45 What is the closest to 5 in -5, 750, -6? -5 What is the closest to -1/5 in -13, 3/5, 3, 275/2, -3/5? -3/5 What is the closest to 2/3 in -593, 2/5, 6, 2/19, -20.5? 2/5 Which is the nearest to -2? (a) 0 (b) 9933 (c) 144 a What is the closest
{ "pile_set_name": "DM Mathematics" }
0. Calculate b. -8, -2/9, -2/20089 Determine m, given that 2368*m**3 + 265212*m**2 + 262400*m - 444 = 0. -111, -1, 1/592 Factor -t**2 - 108*t + 899584. -(t - 896)*(t + 1004) Let -4*z**4 + 4170372*z**3/5 + 10008972*z**2/5 + 7506748*z/5 + 1668168/5 = 0. Calculate z. -1, -2/5, 208521 What is n in -n**3 - 66664847*n**2 - 133329691*n - 66664845 = 0? -66664845, -1 Factor -2*n**3 - 8038*n**2 + 39251922*n + 158484982230. -2*(n - 4435)*(n + 4227)**2 Let -6*j**3/11 + 21750*j**2/11 - 496932*j/11 - 518688/11 = 0. What is j? -1, 24, 3602 Factor v**2 + 7743*v + 6134912. (v + 896)*(v + 6847) Factor 2*b**2 - 20930*b - 272428. 2*(b - 10478)*(b + 13) Find s such that 2*s**5 + 4243*s**4 - 132592*s**3 - 2839965*s**2 + 1452600*s = 0. -2152, -15, 0, 1/2, 45 Solve -40094224*h**3 + 1042981712*h**2 - 13830852*h + 45864 = 0 for h. 21/3166, 26 Let 2*k**5 - 334*k**4 - 19488*k**3 - 247680*k**2 = 0. Calculate k. -24, 0, 215 Find a such that -a**3 - 24745*a**2 + 1165014*a - 5206320 = 0. -24792, 5, 42 Suppose -5*m**2 + 2085270*m - 377270065 = 0. What is m? 181, 416873 Find h, given that -h**3/3 - 291850*h**2 - 63882025024*h + 383295652352/3 = 0. -437776, 2 Factor -22*h**4/5 - 551156*h**3/5 - 4602536736*h**2/5 - 12810533310092*h/5 + 1164784135102. -2*(h + 8351)**3*(11*h - 5)/5 What is h in -2*h**5/13 + 386*h**4/13 + 15144*h**3/13 - 3913120*h**2/13 - 44333696*h/13 = 0? -92, -11, 0, 148 What is t in -2*t**3/15 - 245734*t**2/15 - 17836144*t/3 + 59781464/5 = 0? -122503, -366, 2 Solve -k**2/3 + 6980*k + 3624543 = 0. -507, 21447 Suppose 2*h**2 + 33036*h - 70435638 = 0. What is h? -18429, 1911 Solve -529*w**5/7 + 209691*w**4/7 + 549720*w**3/7 + 51300*w**2 = 0. -30/23, 0, 399 Find b such that -18*b**5 + 47992*b**4 - 726434*b**3 + 159060*b**2 = 0. 0, 2/9, 15, 2651 Find d such that -2*d**2/3 - 3310*d/3 + 68600 = 0. -1715, 60 Determine h, given that 2*h**4 + 220*h**3 - 27280*h**2 - 1936380*h - 12147282 = 0. -159, -51, -7, 107 Factor -2*a**2/9 - 207464788*a/9 - 5380204782485618/9. -2*(a + 51866197)**2/9 Solve 2*n**5/9 + 1158*n**4 - 253274*n**3/3 + 4911890*n**2/9 - 763100*n = 0 for n. -5283, 0, 2, 5, 65 Factor -h**4/4 - 125*h**3/2 + 68186*h**2. -h**2*(h - 412)*(h + 662)/4 Solve 5*n**3/3 - 584150*n**2/3 + 5732284580*n - 2629129379640 = 0. 466, 58182 Factor 3*f**3 - 13615677*f**2 + 15448881539520*f + 15448895155200. 3*(f - 2269280)**2*(f + 1) Determine m so that 3*m**5 + 648*m**4 - 97644*m**3 - 504678*m**2 + 97641*m + 504030 = 0. -317, -5, -1, 1, 106 Factor g**3/2 + 188738*g**2 - 1132437*g/2. g*(g - 3)*(g + 377479)/2 Let -3*b**2 - 17318598*b - 24994486390467 = 0. What is b? -2886433 Factor -3*h**3 + 5072262*h**2 + 10144533*h + 5072268. -3*(h - 1690756)*(h + 1)**2 Factor -2*a**2/9 - 29248*a/9 + 13835254/3. -2*(a - 1303)*(a + 15927)/9 Solve -2*z**3/5 + 897698*z**2/5 - 100737649558*z/5 + 1108005526342/5 = 0. 11, 224419 Let -m**2 - 214812*m + 1074085 = 0. Calculate m. -214817, 5 Find i, given that -4*i**2 + 3111392*i - 3111388 = 0. 1, 777847 Factor -1692077*z**2/3 + z/9. -z*(5076231*z - 1)/9 Determine l so that 64*l**3/7 - 463536*l**2/7 - 1506999*l/7 - 1224574/7 = 0. -13/8, 7246 Factor -3*r**2 + 45417*r + 909540. -3*(r - 15159)*(r + 20) Let 2*u**2/9 + 62327688*u + 4370333277853512 = 0. What is u? -140237298 Let 2*a**4 - 28648*a**3 - 630974*a**2 - 3586292*a - 2983968 = 0. What is a? -13, -8, -1, 14346 Let 3*o**5 + 102090*o**4 + 1530909*o**3 + 7959990*o**2 + 16327488*o + 9796320 = 0. Calculate o. -34015, -6, -4, -1 Factor 35*j**3/2 - 492099*j**2/10 + 172971744*j/5 + 988418/5. (j - 1406)**2*(175*j + 1)/10 Suppose 18220*n**3 - 72533822*n**2 + 72523562*n - 7960 = 0. Calculate n. 1/9110, 1, 3980 Factor 2*z**4/5 + 53836*z**3/5 + 366623834*z**2/5 + 58337658648*z/5 + 2348455939848/5. 2*(z + 81)**2*(z + 13378)**2/5 Determine d, given that d**2/8 - 1429577*d/4 - 714789 = 0. -2, 2859156 Factor -3*r**4/7 + 8845692*r**3 - 426007432802754*r**2/7 + 976974347847200142660*r/7 + 976974773854694865261/7. -3*(r - 6879983)**3*(r + 1)/7 Find z such that 16*z**4 + 1287756*z**3 + 34027665492*z**2 + 280817677082180*z - 380250380882959572 = 0. -27221, 4713/4 Suppose -2*u**3 - 5588*u**2 + 322320526*u - 1309822544184 = 0. What is u? -15708, 6457 Determine n so that n**3/3 - 1693*n**2 - 369745*n/3 - 1935059 = 0. -49, -23, 5151 Determine u, given that -15*u**2/4 + 2444653*u/8 + 162977/8 = 0. -1/15, 162977/2 Find y, given that 13*y**4/8 - 19251*y**3/8 - 264335*y**2/2 - 1017711*y/2 - 75166 = 0. -49, -4, -2/13, 1534 Suppose 6*t**2/11 - 8628*t/11 + 720366/11 = 0. What is t? 89, 1349 Suppose -2*x**3/13 - 19790384*x**2/13 - 48957392568042*x/13 + 97914864297636/13 = 0. Calculate x. -4947597, 2 Factor -c**2/4 + 2087289*c/2 - 4356775369521/4. -(c - 2087289)**2/4 Solve -v**3/3 - 12356*v**2 + 271953*v - 4487890/3 = 0 for v. -37090, 11 Factor -j**2/5 - 392637*j + 15705544/5. -(j - 8)*(j + 1963193)/5 Determine l, given that -5*l**2 + 308850340*l = 0. 0, 61770068 Suppose o**2 - 18531233*o + 37062462 = 0. What is o? 2, 18531231 Solve -s**4/2 - 2395*s**3 - 6426253*s**2/2 - 826548030*s - 59551836498 = 0. -2241, -154 Factor v**2/3 + 1724975*v/3 - 574992. (v - 1)*(v + 1724976)/3 Factor -3*o**2/5 - 10266564*o/5 + 10266567/5. -3*(o - 1)*(o + 3422189)/5 Determine d, given that -2*d**3 - 197170*d**2 - 4859402526*d + 4859599698 = 0. -49293, 1 Find n, given that -4*n**4 + 680916*n**3 - 1361820*n**2 + 680908*n = 0. 0, 1, 170227 Let s**3/2 - 3160*s**2 - 311943*s/2 - 439461 = 0. What is s? -46, -3, 6369 Factor w**5/3 - 110971*w**4/3 + 3078474247*w**3/3 + 3078807169*w**2. w**2*(w - 55487)**2*(w + 3)/3 Find i such that -2*i**2 - 19868718*i - 19868716 = 0. -9934358, -1 Factor -i**3/3 + 106180*i**2/3 - 5519332*i/3 + 23914176. -(i - 106128)*(i - 26)**2/3 Determine c, given that -4*c**4 - 116713816*c**3 + 233427648*c**2 = 0. -29178456, 0, 2 Find a, given that -2*a**2/9 - 4916840*a/9 - 4916834/3 = 0. -2458417, -3 Suppose 4*o**3 + 18776*o**2 + 28932736*o + 14682595200 = 0. Calculate o. -1950, -1372 Factor z**2 - 122990388*z + 245980772. (z - 122990386)*(z - 2) Determine s so that -4*s**5/3 + 26204*s**4/3 - 34920*s**3 + 52360*s**2/3 + 104764*s/3 - 26188 = 0. -1, 1, 3, 6547 Factor 2*g**2/15 - 220942*g/15 - 1902320. 2*(g - 110600)*(g + 129)/15 Factor -2*b**2/7 + 5659480*b/7 - 4003714233800/7. -2*(b - 1414870)**2/7 Let -d**3/4 - 14414719*d**2/4 - 7207359*d/2 = 0. Calculate d. -14414718, -1, 0 Factor -2*i**2/13 + 2595016*i/13 - 15570024/13. -2*(i - 1297502)*(i - 6)/13 Suppose -u**3 - 1056*u**2 - 79283*u - 300300 = 0. Calculate u. -975, -77, -4 Find n such that n**2/4 - 4579*n/2 + 2580297/4 = 0. 291, 8867 Determine q, given that 212*q**4 + 9546*q**3 - 51882*q**2 + 40924*q + 1200 = 0. -50, -3/106, 1, 4 Factor 2*z**2/3 + 6050*z/3 + 332528/3. 2*(z + 56)*(z + 2969)/3 Let -4*n**3 - 360420*n**2 - 10089408*n - 70620368 = 0. What is n? -90077, -14 Factor l**2 - 27165607*l + 27165606. (l - 27165606)*(l - 1) Suppose 4*y**5 + 64*y**4 - 3756*y**3 + 46136*y**2 - 229600*y + 413952 = 0. Calculate y. -44, 6, 7, 8 Solve -3*y**2 + 15787110*y - 31574208 = 0. 2, 5262368 What is l in l**4/5 + 76439*l**3/5 + 1973201136*l**2/5 + 17835604323584*l/5 + 16373712796635136/5 = 0? -25136, -1031 What is s in -2*s**2/11 + 378020*s/11 + 378022/11 = 0? -1, 189011 Let -9*z**4/7 + 13354*z**3/7 + 1723075*z**2/7 - 4898036*z/7 - 167628 = 0. Calculate z. -122, -2/9, 3, 1603 Factor 5*p**2 - 44070*p - 1770800. 5*(p - 8854)*(p + 40) Factor -o**3 + 1434*o**2 + 20272*o. -o*(o - 1448)*(o + 14) What is f in 44*f**5 - 66540*f**4/7 + 640768*f**3/7 - 109152*f**2 - 4539456*f/7 + 177984/7 = 0? -2, 3/77, 6, 206 Factor -d**2 + 115648*d - 462576. -(d - 115644)*(d - 4) Factor -2*v**2 + 19960*v - 4827072. -2*(v - 9732)*(v - 248) Let 2*h**3/11 - 15426*h**2/11 + 857902*h/11 - 2434926/11 = 0. What is h? 3, 53, 7657 Solve -3*d**4/7 - 786*d**3/7 + 17271*d**2/7 + 97470*d/7 - 60912 = 0 for d. -282, -7, 3, 24 Suppose 2*p**2/11 + 5118*p/11 + 116748 = 0. What is p? -2277, -282 Solve 4*b**2/9 - 16168*b/9 + 5248288/3 = 0 for b. 1636, 2406 Suppose 5092072803*u**3 + 50920480836*u**2 - 2471937*u + 30 = 0. What is u? -10, 1/41199 Find p, given that -4*p**2 - 6292*p + 1626296 = 0. -1799, 226 Determine l so that -2770*l**3 - 37015*l**2 = 0. -7403/554, 0 Suppose 4*t**3 - 879476*t**2 - 100299252*t - 2858899068 = 0. What is t? -57, 21998
{ "pile_set_name": "DM Mathematics" }
05144, 1705200, 1705278, 1705378? 1705500 What is the next term in 82926, 82949, 82990, 83049? 83126 What is next in 17146050, 34292099, 51438148, 68584197? 85730246 What is the next term in 5388, 21103, 47144, 83511, 130204, 187223? 254568 What is next in -2761869349, -2761869348, -2761869347? -2761869346 What comes next: 86, -1008, -3974, -9748, -19266, -33464? -53278 What is the next term in 9265, 9130, 8907, 8596, 8197? 7710 What is next in 1316552, 2633060, 3949526, 5265950? 6582332 What comes next: -47970, -47995, -48020, -48045, -48070? -48095 What is next in 17214, 21420, 25622, 29820, 34014, 38204, 42390? 46572 What is the next term in -543, -595, -703, -891, -1183, -1603, -2175? -2923 What comes next: 8935, 8901, 8895, 8917? 8967 What is the next term in -2805484, -2805534, -2805600, -2805688, -2805804, -2805954, -2806144, -2806380? -2806668 What comes next: 21516836, 43033672, 64550508, 86067344, 107584180, 129101016? 150617852 What is next in 259, 1818, 5947, 13900, 26931, 46294? 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33005 What is the next term in 112, 305, 660, 1261, 2192? 3537 What is the next term in -23752, -47350, -70798, -94102, -117268, -140302, -163210? -185998 What comes next: 30677, 63918, 97171, 130442, 163737? 197062 What comes next: -5688, -7145, -8602, -10059, -11516, -12973? -14430 What comes next: 2656, 5107, 7142, 8551, 9124, 8651, 6922? 3727 What is next in 13761, 57758, 131087, 233748? 365741 What is the next term in 177126, 708796, 1594926, 2835528, 4430614, 6380196? 8684286 What comes next: -999116, -7992842, -26975816, -63942662, -124888004, -215806466? -342692672 What is the next term in -220414, -440952, -661490, -882028? -1102566 What comes next: -114290, -228317, -342344? -456371 What comes next: -61, -1494, -5397, -13012, -25581, -44346, -70549, -105432? -150237 What is the next term in -161976, -162248, -162522, -162798? -163076 What comes next: -274876, -275041, -275206? -275371 What comes next: -37997, -37385, -36359, -34913, -33041, -30737? -27995 What comes next: 35283, 141094, 317519, 564618, 882451? 1271078 What is next in 14071, 13818, 13565, 13312? 13059 What is next in -9838, -9644, -9450, -9256, -9062? -8868 What is the next term in 31, -4, -61, -140, -241, -364, -509? -676 What is the next term in -470569644, -941139289, -1411708934, -1882278579, -2352848224, -2823417869? -3293987514 What is the next term in 295554653, 591109306, 886663959, 1182218612? 1477773265 What is the next term in -8358, -6439, -4522, -2607? -694 What is the next term in 6700, 5119, 3538, 1957, 376, -1205? -2786 What is the next term in 10393, 10273, 9983, 9445, 8581, 7313, 5563, 3253? 305 What comes next: -544, -1226, -2390, -4036, -6164, -8774? -11866 What is the next term in 740833, 740680, 740527, 740374? 740221 What is the next term in -112707752, -112707753, -112707754, -112707755, -112707756, -112707757? -112707758 What is the next term in -765, 323, 1435, 2577, 3755? 4975 What comes next: -21142305, -21142313, -21142319, -21142323, -21142325, -21142325? -21142323 What is the next term in 812447, 812449, 812461, 812489, 812539, 812617, 812729, 812881? 813079 What is the next term in 2914332, 5828662, 8743000, 11657346, 14571700, 17486062, 20400432? 23314810 What is next in -13317, -26468, -39461, -52308, -65021? -77612 What is next in -34453, -67185, -99915, -132643, -165369, -198093, -230815? -263535 What is next in -259002740, -259002739, -259002738, -259002737, -259002736? -259002735 What is next in -71018, -284102, -639242, -1136438? -1775690 What is next in -13867, -27679, -41383, -54919, -68227? -81247 What is next in -699, -1277, -1643, -1683, -1283, -329, 1293? 3697 What is the next term in 11710, 46785, 105242, 187081, 292302? 420905 What is the next term in 1875, 8094, 18449, 32934, 51543, 74270, 101109? 132054 What comes next: 282, 556, 1106, 2070, 3586, 5792? 8826 What comes next: -493, -2256, -5181, -9268, -14517, -20928, -28501? -37236 What is next in -905398, -905401, -905392, -905365, -905314, -905233, -905116, -904957? -904750 What comes next: -14311, -14320, -14343, -14380, -14431, -14496? -14575 What is the next term in -5791929, -5791955, -5791989, -5792031, -5792081, -5792139, -5792205? 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{ "pile_set_name": "DM Mathematics" }
) t b Suppose 0 = -3*v - 5*d - 8, -2*d = 2*v - v + 3. What is the smallest value in 0.2, v, 3? v Let r = 330 - 326.94. Let w = r - 0.06. Let h = -380/1791 + -2/199. Which is the third biggest value? (a) h (b) -1/7 (c) w a Let z = -4 + 1. Let y = -0.22 - 0.08. Let m = 0 - -0.2. Which is the second smallest value? (a) z (b) m (c) y c Let k = -0.02 + -0.08. Let l = -0.1 + 2.1. What is the smallest value in k, -4/5, l? -4/5 Let d = -141 + 140.6. Which is the third biggest value? (a) 3 (b) 1 (c) d c Let g(r) = -r**3 - 6*r**2 + 7*r. Let x be g(-7). What is the biggest value in -3, -4, x? x Let h be ((-25)/6)/5 - -1. Let j = 18 + -17. Let p = 1.5 - j. Which is the third biggest value? (a) p (b) 0.02 (c) h b Let m = -1.9 + 1.4. Let f be (-2)/4*(-4)/(-8). Which is the third smallest value? (a) 5 (b) m (c) f a Suppose 0 = i - 12 + 16. Which is the third biggest value? (a) -1 (b) i (c) -2/3 b Let p = -21.8 + 16. Let y = p - -6. Let v = 0.2 - 0.1. What is the biggest value in -2/15, v, y? y Suppose -w - 3 - 1 = 0. Let r = 0.05 + -0.15. What is the biggest value in r, -5, w? r Suppose -p + 0*i = -2*i + 8, 5*p - i = 5. Suppose -16 = 6*o - p*o. What is the third biggest value in -0.3, 2, o? o Let j be 0 - (-21)/(-6) - -3. Let p = -256/1309 - -6/77. Which is the second biggest value? (a) 0.5 (b) j (c) p c Let v = -12.3 - -12.6. What is the second biggest value in -1, 2, v? v Let g be 5/(-18) + 6/12. Let d be (-5)/(-12) + ((-66)/24)/11. Which is the third biggest value? (a) d (b) 5 (c) g a Let p = -1.2 + 2.2. Let w(a) = a**3 - 4*a**2 + 3*a + 4. Let q be w(3). What is the second biggest value in -5, p, q? p Let i = -0.9 + 0.1. Let l = 1 + i. Let h = -2 - -3. What is the second biggest value in 0.5, h, l? 0.5 Let p = 11 + -9. What is the third biggest value in p, -2, 1/4? -2 Let z = 0.03 + -0.33. Let d = -11.6 + 12. Which is the third smallest value? (a) -2/15 (b) d (c) z b Let g be -4 + ((-3)/(-24) - -4). Which is the smallest value? (a) -10 (b) 1/3 (c) g a Let o = -102 - -101.5. What is the second smallest value in 0.4, 1/6, -0.4, o? -0.4 Let j = -0.118 + -1.922. Let g = 2 + j. Which is the second biggest value? (a) -4 (b) g (c) 0.4 b Suppose -4*v - 20 = -0*v. Which is the second biggest value? (a) -3 (b) -0.3 (c) v a Let s = -1020 + 66329/65. Let g = s + -3/65. Let v = 10 + -5. Which is the second smallest value? (a) v (b) g (c) 1/2 c Let t = 0 + 3. Suppose 0 = -t*q + 1 + 8. What is the third biggest value in -2/9, 5, q? -2/9 Let s = -0.1 - 0. Let h = 50 - 246/5. Let v(x) = -x**2 - 13*x - 11. Let d be v(-12). What is the third smallest value in d, h, s? d Let q be -2*4/56*-2. What is the fourth biggest value in 5, -3, q, 4? -3 Let w = -0.596 - 2.194. Let n = w + -0.21. What is the smallest value in -1, n, 5? n Let v = 4 - 0. Let z = -3.95 + v. Which is the second smallest value? (a) z (b) 0.4 (c) -2 a Let a = -103 + 102.8. What is the fourth smallest value in 0.1, a, 5, -31? 5 Let k = 57 + -286/5. Let i = -1.1 + 0.1. Let o = 0.25 - 0.05. Which is the second smallest value? (a) k (b) o (c) i a Let u = -0.27 - 15.73. Let a = u - -16.2. What is the third smallest value in a, 4, 0? 4 Let o = -41/27 + 2519/1647. Let x be (-479)/(-6405) - (-3)/15. Let p = x + o. Which is the third smallest value? (a) -3 (b) p (c) 1/3 c Let z be (-2 + 3)/(6/24). What is the biggest value in 2/5, z, -3? z Let o = 233 + -1634/7. Let x = 24.3 + -24. What is the third biggest value in o, -5, x? -5 Let h = 74 + -68.2. Let q = -3 + 3.8. Let m = q - h. Which is the biggest value? (a) -0.4 (b) m (c) -4 a Let j = -6 + 6.09. Which is the smallest value? (a) 0.2 (b) j (c) 5 b Suppose 0 = -4*h + 3*h - 5. Let r(y) = 4*y - 1 - 3*y + 0*y. Let k be r(-1). Which is the biggest value? (a) h (b) k (c) -4 b Let h = -10 + 17.4. Let u = 7 - h. Which is the third biggest value? (a) -0.1 (b) -4/3 (c) u b Let l = -6 - -6. Which is the second smallest value? (a) l (b) 7 (c) 2 c Let k = 0.09 + 0.41. Which is the second biggest value? (a) 1 (b) -1 (c) k c Let b be ((-1)/(-6)*-1)/(4/(-6)). Let t = 1 - 0.9. What is the smallest value in 2/11, t, b? t Let m = 12 + -24. Let v = m + 13. Let d = 2.94 - -0.06. What is the second smallest value in d, -3/8, v? v Let l = 31 + -17. Let d be l/(-20) - (-2)/10. What is the smallest value in -0.4, -5, d? -5 Let t = 64 - 63.94. What is the third biggest value in -2, 2/13, t? -2 Let g be 128/252 + (-6)/27. Let t be 14/91 + 0/(-2). Which is the second smallest value? (a) t (b) -10 (c) g a Let s = -167 + 163. What is the smallest value in 0, 4, s? s Suppose 7*x = 3*x + 8. Let k(i) = -i**3 + 3*i**2 + 2*i - 3. Let f be k(x). Which is the smallest value? (a) f (b) 3 (c) 3/2 c Let f = 2.3 + -1.3. Let o = -3 - -2.9. Let p be 1*3/7 - 0. Which is the third smallest value? (a) f (b) p (c) o a Let o = -20 - -20.3. Which is the second smallest value? (a) 1 (b) o (c) -4/5 b Let l = 2.2 - 2. Which is the smallest value? (a) l (b) -2 (c) 0.3 b Let i be 0 - (-3)/(-3)*-1. Let g be (-1)/2 + 3/12. What is the third biggest value in i, 0.5, g? g Let n = 64 - 64.58. Let b = -0.18 - n. What is the biggest value in 1/5, -5, b? b Let x = -0.7 - -0.4. Let c = 0.09 + 1.41. Let j = 6.5 - c. What is the third smallest value in 3, x, j? j Let f be ((-2)/2)/((-5)/(-2)). What is the second biggest value in f, 0.5, -2/17? -2/17 Let l = -1511/5 - -1968828/6515. Let m = -99043/19545 - l. Let r = m - -27/5. What is the third biggest value in -2/9, 0.1, r? -2/9 Let q = -11.12 - -11. What is the third biggest value in q, 4, -0.5? -0.5 Suppose 5*w - 2*w - 15 = 0. Let b = -114 - -453/4. Suppose -z - 3*p = 3*z - 12, 0 = -p. What is the third smallest value in z, w, b? w Let s be (-1)/16*-18 - 1. Let k = -1.3 - -1.23. Let o = k + -0.03. Which is the second smallest value? (a) o (b) 0.2 (c) s c Let u = 73292/3 + -24712. Let p = u + 284. What is the smallest value in -2, 1/2, p? -2 Suppose -2*y = t + 32, 5*y - 4*t + 80 = -t. Which is the fourth biggest value? (a) -4 (b) 2/7 (c) 2/11 (d) y d Let w = 1.7 - 1. Let k = -0.8 - -0.2. Let x = k + w. Which is the smallest value? (a) x (b) -1/3 (c) 4 b Let h = 4.61 + -1.61. What is the second smallest value in 31, -4, h? h Let l = -340 - -342. Let y = -49/185 - 5/37. Which is the third biggest value? (a) l (b) 1/3 (c) y c Let u = 16508 - 82239/5. Let b = -1503/25 + u. Let o be 2/(-9)*3 - -1. What is the biggest value in o, b, 3? 3 Let w be (4*(-1)/(-2))/(-2). Let m be (-14)/10 - 3/(-3). Let z be (3/6)/((-14)/12). Which is the second biggest value? (a) w (b) m (c) z c Let f = 2.5 - 2. Let l = f - -5.5. Let j = l + -3. Which is the second biggest value? (a) 4 (b) -1 (c) j c Let i = -4 + 4.05. What is the second biggest value in -0.3, -1/2, i? -0.3 Let v = -1.3 + 5.3. What is the second smallest value in 5, -10, v? v Let g = 73 + -149/2. Let v = -2 + -3. Which is the third smallest value? (a) g (b) v (c) 4 c Let s = -56 + 57. Which is the third biggest value? (a) s (b) -4 (c) -0.4 b Suppose -2*z = -z - 8. Suppose -3*l + 20 = -z*l. Let u(v) = -v**2 - 3*v + 5. Let s be u(l). Which is the third biggest value? (a) s (b) 0.4 (c) 4/5 b Let v(i) = 2*i - 2. Let z be v(2). Let t be (2*(4 - z))/1. Let w = 12 - 14. Which is the third smallest value? (a) t (b) w (c) 3 a Let u = -0.03 + -2.97. Let z = -186 - -185.5. What is the biggest value in -5, u, z? z Let g = 130.2 + -130. Let h = -0.3 - -0.1. Let w = -2 - -3. What is the third smallest value in g, h, w? w Let a(m) = -2*m. Let o be a(5). Let s be 12/o*4/6. Let b = 6 + -2. What is the third smallest value in b, s, 1/8? b Let w = -0.31 + 0.325. Which is the smallest value? (a) -0.1 (b) -1/4 (c) w b Suppose -5*z + 5*a - 45 = 0, 2*z - 7*z = -3*a + 39. Let q be 1*(-4)/z*1. Suppose x + 0 = 3. What is the third smallest value in x, q, -5? x Let s = -5 + 9/2. Suppose l = -1, 4*j - l + 16 = 3*l. Let q = j + 2. Which is the third biggest value? (a) s (b) 5 (c) q c Let v = -4.06 + 4. Let i = 1.06 + v. Let q = 10 + -14. Which is the smallest value? (a) q (b) i (c) -4/3 a Let r = -5/32 - 9/352. What is the smallest value in 0.15, r, -0.4? -0.4 Let j = -0.04 + 0.06. Let l = -4.02 + j. Let h = 1 + -4. What is the third smallest
{ "pile_set_name": "DM Mathematics" }
-1/3, 0, 2/7, 1 Find i such that 0 + 1/6*i - 1/6*i**4 + 1/2*i**3 - 1/2*i**2 = 0. 0, 1 Let 8/7*l**2 - 4/7 + 2/7*l**5 - 4/7*l**3 + 2/7*l - 4/7*l**4 = 0. What is l? -1, 1, 2 Let m(z) be the first derivative of -z**3/12 - 3*z**2/4 - 9*z/4 + 19. Factor m(j). -(j + 3)**2/4 Let c(z) be the second derivative of z**5/100 + z**4/12 + 14*z. Factor c(k). k**2*(k + 5)/5 Suppose -3*v - v = 4*r + 8, 4*r = -3*v - 12. Let b be (-10)/15 - 16/r. Factor j**2 + j**2 - 2*j**2 - 3*j**b - 6*j. -3*j*(j + 2) Let z = 23/63 - 2/63. Determine k, given that -1/3*k - z*k**2 + 0 = 0. -1, 0 Let a(j) be the third derivative of -16*j**5/15 + 20*j**4/3 - 50*j**3/3 + 17*j**2. Factor a(b). -4*(4*b - 5)**2 Let t be 10*5/(11 + -1). Let m(s) be the third derivative of 3*s**2 + 1/180*s**t - 1/72*s**4 + 0 + 0*s + 0*s**3. What is g in m(g) = 0? 0, 1 Let -6*p - 4*p**2 - 3 + p**2 + 12*p**3 - 6*p**5 - 4*p**2 - 3*p**4 + 13*p**2 = 0. What is p? -1, -1/2, 1 Let r be 7/3 + (-4)/12. Suppose 0 = -28*f + 23*f. Factor f*m - 1/3*m**r + 0. -m**2/3 Determine m so that m - 2*m**2 + 2 - 3 + 2 = 0. -1/2, 1 Factor 24*t**2 + 0*t**3 - 45 - 2*t**3 - 2*t**3 + 4*t + 21. -4*(t - 6)*(t - 1)*(t + 1) Let x(n) be the first derivative of n**6/9 + 2*n**5/15 - n**4/6 - 2*n**3/9 - 3. Let x(k) = 0. What is k? -1, 0, 1 Let r(k) = 8*k**3 + 6*k**2 - 3*k. Let c(g) = -3*g**3 - 2*g**2 + g. Suppose 2*m + v = -20 - 2, -5*v - 33 = 3*m. Let d(f) = m*c(f) - 4*r(f). Solve d(l) = 0. 0, 1 Determine n, given that -n**2 - 3/2*n**3 + 0 - 1/2*n**4 + 0*n = 0. -2, -1, 0 Let z(g) be the second derivative of -g**5/10 - 2*g**4/3 - 5*g**3/3 - 2*g**2 - 4*g. Factor z(j). -2*(j + 1)**2*(j + 2) Let -18*k**2 - 5*k + 6*k + 22*k**3 - 5*k + 0*k = 0. Calculate k. -2/11, 0, 1 Let t be (-1)/(0 + -1)*-1. Let c be t/(-2*3/12). Find x such that 4 - 6*x - 2*x**2 + 5*x**c - x**2 = 0. 1, 2 Suppose -3*i = 2*i - 15. Let h(r) be the second derivative of -1/20*r**5 + 1/6*r**4 + 1/6*r**i + 0 - r**2 - r. Factor h(s). -(s - 2)*(s - 1)*(s + 1) Let w(l) = -l**2 - l - 2. Let i be w(-2). Let y be i/(-28) + (-2)/14. Let 2/3*c**3 + 0*c + y - 2/3*c**2 = 0. Calculate c. 0, 1 Let g(r) = 33*r**2 + 60*r + 27. Let q(y) = 8*y**2 + 15*y + 7. Let a(p) = -5*g(p) + 21*q(p). Solve a(u) = 0 for u. -4, -1 Suppose 2*b - 4 = 3*c, 2*b - c - 5 + 1 = 0. Find n such that n**2 - 3*n**b - 2*n**2 + n = 0. 0, 1/4 Let p(i) = -i**2 + 4*i + 7. Let q be p(5). Let b be 3/q*2/6. Determine z so that b*z + 0 + 1/4*z**3 + 3/4*z**2 = 0. -2, -1, 0 Let j(f) be the third derivative of -f**5/15 - f**4/24 - 2*f**3/3 - 3*f**2. Let q(a) = a**2 + a + 1. Let u(z) = -j(z) - 3*q(z). Suppose u(p) = 0. Calculate p. 1 Let z(g) be the second derivative of 0 - g - 1/9*g**3 - 1/9*g**2 - 1/18*g**4 - 1/90*g**5. Factor z(y). -2*(y + 1)**3/9 Let s(a) = a - 7. Let f be s(8). Let h(x) = 2*x**3 + x**2 + x - 1. Let u be h(f). Factor -1/3*n**u - 1/3*n**2 + 1/3*n + 1/3*n**4 + 0. n*(n - 1)**2*(n + 1)/3 Let i(p) be the second derivative of -p**6/50 - 9*p**5/100 - 3*p**4/20 - p**3/10 - p. Determine m, given that i(m) = 0. -1, 0 Let h(l) be the third derivative of 0*l - 1/300*l**6 + 0 + 0*l**4 - 1/75*l**5 - 5*l**2 + 0*l**3. Suppose h(f) = 0. Calculate f. -2, 0 Suppose 2/11*t**4 + 0 - 2/11*t - 2/11*t**2 + 2/11*t**3 = 0. Calculate t. -1, 0, 1 Let k be 178/9 + -5*12/(-270). Find d such that -40/7*d**2 + 8/7*d + 0 + 14*d**5 - 6/7*d**3 + k*d**4 = 0. -1, 0, 2/7 Let u be 1/(-2)*-4 - 0. Suppose -2*j**4 + 15 + 16*j**3 - u*j**4 - 15 - 16*j**2 = 0. Calculate j. 0, 2 Let j(r) be the second derivative of -1/15*r**4 - 1/5*r**2 + 1/25*r**6 + 2*r + 0 - 1/25*r**5 - 1/105*r**7 + 1/5*r**3. Factor j(v). -2*(v - 1)**4*(v + 1)/5 Let r(q) = -4*q**2 + 3*q + 1. Let v(o) = -o - 8*o - 1 + 7*o**2 - o + 4*o. Let j(t) = -10*r(t) - 6*v(t). Let j(f) = 0. Calculate f. 1, 2 Let z = -113/3 + 38. Let j be (3 - 28/24*3)*0. Find k, given that -z*k**3 + 1/3*k + j + 0*k**2 = 0. -1, 0, 1 Let -1/11*a + 0 - 1/11*a**2 = 0. Calculate a. -1, 0 Suppose 15*o = 8*o. Factor -3*g - g**2 + o*g**2 + 4*g. -g*(g - 1) Let d(s) be the second derivative of -5*s - 1/21*s**4 - 4/21*s**3 + 0 + 1/70*s**5 + 8/7*s**2. Factor d(y). 2*(y - 2)**2*(y + 2)/7 Let m(k) be the third derivative of -5*k**6/24 + 7*k**5/4 - 5*k**4/6 - 56*k**2. Factor m(h). -5*h*(h - 4)*(5*h - 1) Let s be 23 + -25 + (-59)/2. Let y = 32 + s. Factor -y - 2/3*c - 1/6*c**2. -(c + 1)*(c + 3)/6 Let a(n) be the second derivative of -n**7/21 + 8*n**6/45 - n**5/30 - 4*n**4/9 + 4*n**3/9 - n. Determine w, given that a(w) = 0. -1, 0, 2/3, 1, 2 Let w(n) = -n + 1. Let r(f) = -2*f**3 - 4 + 2*f + 3*f**3 + 1. Let a be -2 + (6/3 + -1)*-1. Let g(h) = a*w(h) - r(h). Find k, given that g(k) = 0. -1, 0, 1 Let a = -1/21 + 5/7. Determine g so that 2/9*g**3 + 2/3*g + 2/9 + a*g**2 = 0. -1 Let c(o) = 5*o**4 + 13*o**3 + 13*o**2 + 3*o - 2. Let s(j) = -j**2 - j. Let g(x) = -c(x) - 4*s(x). Factor g(t). -(t + 1)**3*(5*t - 2) Let m(x) = x**2 - x. Let z(j) = -2*j**2 + 9*j - 7. Let h(d) = -3*m(d) - z(d). Let h(g) = 0. Calculate g. -7, 1 Let i be (10 + -15)*2/(-5). Factor -1/4*b**5 - 1/4*b**3 + 0*b**i + 0*b + 0 - 1/2*b**4. -b**3*(b + 1)**2/4 Suppose 2/5*i**3 + 2/5*i**2 - 2/5 - 2/5*i = 0. Calculate i. -1, 1 Let x(w) = 4*w**2 + 23*w + 5. Let d(i) = i**2. Let r(q) = 2*q**2 - 12*q - 2. Let p(z) = 4*d(z) - r(z). Let n(u) = 7*p(u) - 4*x(u). Factor n(c). -2*(c + 1)*(c + 3) Solve 5/4*j**5 + 1 + 3*j - 17/4*j**3 - 1/4*j**2 - 3/4*j**4 = 0. -1, -2/5, 1, 2 Let y(r) = -r + 2. Let v be y(0). Factor 5*n**3 - 6*n**3 - 2*n**2 + v*n**3. n**2*(n - 2) Let 18/7*q**4 - 22/7*q**2 + 2*q**3 + 4/7 - 2*q = 0. Calculate q. -1, 2/9, 1 Let w(b) be the first derivative of -2*b**5/5 + b**4 - 2*b**3/3 - 7. What is h in w(h) = 0? 0, 1 Let k(z) = z**3 - z**2. Let t(n) = -5*n**5 + 15*n**4 - 7*n**3 - 13*n**2 + 10*n. Let r(j) = 2*k(j) + t(j). What is y in r(y) = 0? -1, 0, 1, 2 Let w be ((-1 - -1) + -32)*7/(-42). Factor 14/3*v**3 + w*v**2 + 0 - 98/9*v**4 + 8/9*v. -2*v*(v - 1)*(7*v + 2)**2/9 Let v be (-268)/(-48) + -5 - 2/6. Let j(q) be the first derivative of 0*q**2 - 1/6*q**6 - 1/5*q**5 + 2 + 0*q + 1/3*q**3 + v*q**4. Determine i so that j(i) = 0. -1, 0, 1 Let x(s) be the first derivative of -4/7*s - 2/21*s**3 + 4 - 3/7*s**2. Factor x(u). -2*(u + 1)*(u + 2)/7 Suppose 5*k + 10 = 35. Let o(c) be the third derivative of -1/210*c**7 + 0*c**4 + 0*c - c**2 + 0*c**k - 1/120*c**6 + 0 + 0*c**3. Factor o(h). -h**3*(h + 1) Let v(i) be the second derivative of 4/3*i**3 - 5*i + 8*i**2 + 0 - 7/12*i**4 + 1/20*i**5. Let v(f) = 0. What is f? -1, 4 Let l = -9 - -9. Factor 7*z + 3*z**2 + l*z**2 + 2*z + 6. 3*(z + 1)*(z + 2) Let i(x) be the first derivative of x**5/30 + x**4/9 - x**3/9 - 2*x**2/3 + 3*x - 7. Let m(r) be the first derivative of i(r). Let m(u) = 0. What is u? -2, -1, 1 Let c(b) be the third derivative of -b**6/200 + 12*b**2. Factor c(y). -3*y**3/5 Suppose 2*j - 2 = 2*o, 0*j + j = 3*o - 1. Let b = 31/87 - 2/87. Find v such that -b*v + 0 + 1/3*v**j = 0. 0, 1 Let t(m) be the first derivative of 2*m**3/15 + 11*m**2/5 + 10. Factor t(d). 2*d*(d + 11)/5 Suppose 4*x = n + 23 - 13, 2*n - 2 = -3*x. Let s(d) be the second derivative of 1/3*d**3 + 0 - 4*d + 1/12*d**4 + 0*d**x. Suppose s(q) = 0. What is q? -2, 0 Let i(s) be the third derivative of 1/48*s**6 + 0*s**3 + 2*s**2 - 1/30*s**5 + 0 - 1/210*s**7 + 0*s + 1/48*s**4. Let i(z) = 0. What is z? 0, 1/2, 1 Let w(q) be the third derivative of q**6/40 - q**4/8 + q**2 - 3*q. Find z, given that w(z) = 0. -1, 0, 1 Let z(j) = -3*j**2 + 4*j + 3. Let q(w) = 11*w**2 - 16*w - 13. Let s be (-18)/4*(-8)/3. Let i be (3/2)/(2/s). Let t(y) = i*z(y) + 2*q(y). Factor t(m). -(m - 1)*(5*m + 1) Let d = 8 + 5. Let a(r) = r**3 + r + 2. Let o be a(0). Let -13*n + d*n - n**o = 0. What is n? 0 Suppose 3*i = 5*o - 69, 2*i - 12 = 6*i. Let x be (-1)/(9/o - 1). Factor -s**2 + 2 + s**2 + x*s + 2*s**2. 2*(s + 1)**2 Let h(d) be the second derivative of 8*d + 4/27*d**3 + 1/180*d**5 + 0 - 5/108*d**4 - 2/9*d**2. Determine y so that h(y) = 0. 1, 2 Let d = 2/5 + -3/10. Let a(z) be the first derivative of 2 - d*z**4 + 1/5*z**6 + 0*z + 0*z**2 - 4/15*z**3 + 8/25*z**5. Factor a(m). 2*m**2*(m + 1)**2*(3*m - 2)/5 Suppose w - 5*t + 8 = -2*w, 2*w - 4 = t. Let s(h) be the second derivative of -h + 2/9*h**3 + 1/60*h**5 + 0 + 1/9*h**w + 0*h**2. Factor s(o). o*(o + 2)**2/3 Let g(m) = 3*m**3 + m**2 - 4*m - 7. Let p(
{ "pile_set_name": "DM Mathematics" }
tor m**2 - 116*m - 236. (m - 118)*(m + 2) Solve 2*y**3 + 10*y**2 + 4*y - 16 = 0. -4, -2, 1 Determine w, given that 3*w**4 - 117*w**3 + 1683*w**2 - 10527*w + 23958 = 0. 6, 11 What is f in -f**4 + 6*f**3 + 36*f**2 - 216*f = 0? -6, 0, 6 Factor 3*c**2/7 - 456*c/7 + 900/7. 3*(c - 150)*(c - 2)/7 Determine r so that -2*r**3 - 12*r**2 + 64 = 0. -4, 2 Determine h, given that -27*h**4/4 + 117*h**3/4 + 75*h**2/2 - 81*h + 30 = 0. -2, 2/3, 5 Factor -g**2/5 - 8*g/5 + 9/5. -(g - 1)*(g + 9)/5 Factor 21*o**2 - 7176*o - 2052. 3*(o - 342)*(7*o + 2) Solve -2*u**3/5 + 16*u**2/5 - 32*u/5 = 0. 0, 4 Factor -r**3 - 8*r**2 - 13*r - 6. -(r + 1)**2*(r + 6) Factor -p**5 - 22*p**4 - 141*p**3 - 56*p**2 + 1600*p + 1536. -(p - 3)*(p + 1)*(p + 8)**3 Solve -2*w**3/7 - 2*w**2 + 692*w/7 + 704/7 = 0. -22, -1, 16 Let k**5 - 7*k**4 + 11*k**3 + 7*k**2 - 12*k = 0. Calculate k. -1, 0, 1, 3, 4 Factor 3*t**4 - 855*t**3 - 873*t**2 + 4299*t - 2574. 3*(t - 286)*(t - 1)**2*(t + 3) Factor 21*t**3 - 4653*t**2 + 256743*t + 110889. 3*(t - 111)**2*(7*t + 3) Find p, given that 4*p**4/3 - 272*p**3/3 + 88*p**2 + 272*p/3 - 268/3 = 0. -1, 1, 67 Factor -5*k**5 - 35*k**4 - 30*k**3. -5*k**3*(k + 1)*(k + 6) Factor 28*x**3/5 + 2416*x**2/5 + 688*x/5. 4*x*(x + 86)*(7*x + 2)/5 Factor -4*p**3 - 68*p**2 - 152*p + 224. -4*(p - 1)*(p + 4)*(p + 14) Factor 5*a**3 + 45*a**2 + 90*a. 5*a*(a + 3)*(a + 6) Factor 9*z**3/2 + 15*z**2 + 33*z/2 + 6. 3*(z + 1)**2*(3*z + 4)/2 Factor 2*q**3/7 - 8*q**2/7 - 22*q/7 - 12/7. 2*(q - 6)*(q + 1)**2/7 Suppose l**2/2 - 23*l/3 + 5/2 = 0. Calculate l. 1/3, 15 Suppose -i**2/5 - 4*i/5 = 0. Calculate i. -4, 0 Find b, given that -4*b**4 + 20*b**3 + 76*b**2 - 116*b - 168 = 0. -3, -1, 2, 7 Determine l so that l**5/4 - 5*l**4/4 + 5*l**3/4 + 5*l**2/4 - 3*l/2 = 0. -1, 0, 1, 2, 3 Factor 3*l**4/4 + 69*l**3/4 - 27*l**2 - 216*l. 3*l*(l - 4)*(l + 3)*(l + 24)/4 Factor 2*k**2/17 + 662*k/17 + 1968/17. 2*(k + 3)*(k + 328)/17 Factor 21*m**4 - 39*m**3 + 15*m**2 + 3*m. 3*m*(m - 1)**2*(7*m + 1) Factor -n**3/4 + 13*n**2/4 + 57*n/2. -n*(n - 19)*(n + 6)/4 Suppose -4*a**2 - 52*a + 120 = 0. Calculate a. -15, 2 Suppose s**4/6 + s**3/6 - 7*s**2/6 - s/6 + 1 = 0. Calculate s. -3, -1, 1, 2 Determine n so that -6*n**5 + 177*n**4 - 1167*n**3 - 7236*n**2 + 76464*n - 36288 = 0. -7, 1/2, 12 Suppose 3*x**3 - 66*x**2 + 159*x + 228 = 0. What is x? -1, 4, 19 Factor 5*c**3 + 125*c**2 + 440*c + 420. 5*(c + 2)**2*(c + 21) Solve -l**3/5 - 27*l**2 - 4623*l/5 - 4489/5 = 0. -67, -1 Factor -4*c**4 - 8*c**3 + 20*c**2 + 24*c. -4*c*(c - 2)*(c + 1)*(c + 3) Solve q**2/6 - 77*q/2 - 116/3 = 0. -1, 232 What is h in -3*h**4 - 6078*h**3 + 18252*h**2 - 18258*h + 6087 = 0? -2029, 1 Find x, given that -2*x**2/3 - 16*x = 0. -24, 0 Let 27*c**3/2 - 99*c**2 + 93*c/8 + 129/4 = 0. Calculate c. -1/2, 2/3, 43/6 Factor 4*b**2 + 76*b + 280. 4*(b + 5)*(b + 14) Factor 2*u**5 + 248*u**4 + 7436*u**3 - 15624*u**2 + 7938*u. 2*u*(u - 1)**2*(u + 63)**2 Factor -3*q**4 + 24*q**3 + 12*q**2 - 96*q. -3*q*(q - 8)*(q - 2)*(q + 2) Factor 2*w**2/21 + 1580*w/21 + 312050/21. 2*(w + 395)**2/21 Suppose -4*j**4 - 536*j**3 + 48*j**2 + 6368*j - 8576 = 0. What is j? -134, -4, 2 Factor 200*o**4/3 + 760*o**3 + 1926*o**2 - 1368*o + 216. 2*(o + 6)**2*(10*o - 3)**2/3 Factor w**4/7 - 138*w**3/7 + 5029*w**2/7 - 18492*w/7 + 17956/7. (w - 67)**2*(w - 2)**2/7 Determine h so that h**2 + 168*h + 167 = 0. -167, -1 Let -2*w**5/5 - 36*w**4 + 1804*w**3/5 + 432*w**2 - 1802*w/5 - 396 = 0. What is w? -99, -1, 1, 10 Solve -2*l**2/7 - 106*l/7 - 300/7 = 0. -50, -3 Factor -6*s**2/11 + 1194*s/11 + 1200/11. -6*(s - 200)*(s + 1)/11 Factor -g**2 - 3*g + 270. -(g - 15)*(g + 18) Find w such that 5*w**2 + 915*w + 1810 = 0. -181, -2 Let -z**4 + 10*z**3 + 99*z**2 - 360*z = 0. What is z? -8, 0, 3, 15 Determine l, given that -l**4/8 + 537*l**3/8 - 535*l**2/8 - 537*l/8 + 67 = 0. -1, 1, 536 Factor -3*u**3/4 + 81*u**2/4. -3*u**2*(u - 27)/4 Factor -l**4 - 29*l**3 - 175*l**2 - 147*l. -l*(l + 1)*(l + 7)*(l + 21) Suppose -4*i**4 + 76*i**3 - 392*i**2 + 320*i = 0. What is i? 0, 1, 8, 10 Find q, given that -q**3 + 17*q**2 + q - 17 = 0. -1, 1, 17 Factor -2*v**5 + 8*v**4 - 8*v**3. -2*v**3*(v - 2)**2 Factor -78*o**4 + 171*o**3 - 30*o**2. -3*o**2*(o - 2)*(26*o - 5) Factor -4*b**2 - 3256*b - 662596. -4*(b + 407)**2 Find g, given that -5*g**3 + 5*g**2 + 245*g - 245 = 0. -7, 1, 7 Factor 3*f**2 - 452*f - 151. (f - 151)*(3*f + 1) Factor 301*m**4/5 - 1804*m**3/5 + 720*m**2 - 2384*m/5 - 16/5. (m - 2)**3*(301*m + 2)/5 Let 35*x**3/2 - 4380*x**2 + 549375*x/2 - 78125 = 0. Calculate x. 2/7, 125 Factor -s**3 - 21*s**2 + 45*s - 23. -(s - 1)**2*(s + 23) Factor t**3/5 - 82*t**2/5 + 1596*t/5 + 3528/5. (t - 42)**2*(t + 2)/5 Factor 4*b**3 - 240*b**2 + 4800*b - 32000. 4*(b - 20)**3 Determine h so that 2*h**3 - 10*h**2 - 32*h + 160 = 0. -4, 4, 5 Solve -f**4/2 + 122*f**3 - 11163*f**2 + 453962*f - 13845841/2 = 0. 61 Factor -3*c**4 + 12*c**2. -3*c**2*(c - 2)*(c + 2) Factor -8*r**3 - 5280*r**2 - 5274*r - 1318. -2*(r + 659)*(2*r + 1)**2 Determine d, given that -d**3/4 + 3*d**2/4 + 321*d/4 - 323/4 = 0. -17, 1, 19 Let 5*m**2 - 1040*m + 54080 = 0. What is m? 104 Suppose -4*i**4 + 20*i**3 - 28*i**2 + 12*i = 0. Calculate i. 0, 1, 3 Factor -75*s**2 - 2540*s - 64516/3. -(15*s + 254)**2/3 Factor -5*y**3 + 345*y**2 + 350*y. -5*y*(y - 70)*(y + 1) Determine c, given that -60*c**2 - c = 0. -1/60, 0 Determine t, given that -4*t**2/9 + 212*t/9 = 0. 0, 53 What is s in 4*s**3 - 156*s**2 + 296*s = 0? 0, 2, 37 Factor d**5/7 + d**4 - 8*d**3/7. d**3*(d - 1)*(d + 8)/7 Determine p, given that 4802*p**4/5 - 244216*p**3/5 + 4657548*p**2/5 - 39478264*p/5 + 125484482/5 = 0. 89/7 Suppose v**2/4 + 249*v/2 - 3535/4 = 0. What is v? -505, 7 Suppose 15*h**5 - 111*h**4 - 213*h**3 - 33*h**2 + 54*h = 0. What is h? -1, 0, 2/5, 9 Factor z**2/4 + 62*z + 3844. (z + 124)**2/4 Determine n so that n**4 + 32*n**3 + 142*n**2 + 192*n + 81 = 0. -27, -3, -1 Determine q, given that -q**2/4 - q/4 + 18 = 0. -9, 8 Factor 5*l**5 + 255*l**4 + 690*l**3 - 1580*l**2 - 6840*l - 5760. 5*(l - 3)*(l + 2)**3*(l + 48) Factor -4*o**4 + 748*o**3 - 744*o**2. -4*o**2*(o - 186)*(o - 1) Determine w so that 5*w**2 + 11850*w = 0. -2370, 0 Factor -9*g**4 + 38*g**3 - 53*g**2 + 28*g - 4. -(g - 2)*(g - 1)**2*(9*g - 2) Solve -3*d**3/5 + 201*d/5 - 378/5 = 0. -9, 2, 7 Suppose 3*q**3/8 + 117*q**2/8 = 0. Calculate q. -39, 0 Factor 3*f**5 - 27*f**4 + 69*f**3 - 9*f**2 - 108*f. 3*f*(f - 4)*(f - 3)**2*(f + 1) Determine n, given that -n**4/3 + 9*n**3 - 68*n**2/3 - 32*n = 0. -1, 0, 4, 24 Factor x**2 + 27*x - 1078. (x - 22)*(x + 49) Factor -4*p**3 + 928*p**2 - 51920*p - 222784. -4*(p - 118)**2*(p + 4) Factor 2*h**2 - 84*h. 2*h*(h - 42) Suppose -3*h**2 - 6072*h - 3072432 = 0. What is h? -1012 Find a such that 3*a**5/2 - 39*a**4 + 108*a**3 + 1920*a**2 + 3072*a = 0. -4, -2, 0, 16 Solve 4*y**4 - 436*y**3 - 900*y**2 + 1332*y = 0. -3, 0, 1, 111 Solve 5*c**2/3 + 143*c/3 - 58/3 = 0 for c. -29, 2/5 Factor -3*c**3 + 30*c**2 + 69*c + 36. -3*(c - 12)*(c + 1)**2 Factor -m**2/3 + 2*m/3 + 1. -(m - 3)*(m + 1)/3 Factor s**5/4 - 795*s**4/4 + 159195*s**3/4 - 472825*s**2/4 + 117810*s - 39204. (s - 396)**2*(s - 1)**3/4 Factor -15*j**4 + 33*j**3 + 39*j**2 - 9*j. -3*j*(j - 3)*(j + 1)*(5*j - 1) Factor -2*s**3/9 - 70*s**2/9 - 134*s/9 - 22/3. -2*(s + 1)**2*(s + 33)/9 Determine v, given that v**4/8 - 63*v**3/4 + 3969*v**2/8 = 0. 0, 63 Factor 5*g**3 + 125*g**2 - 130*g. 5*g*(g - 1)*(g + 26) Factor m**2/4 - 7*m + 13. (m - 26)*(m - 2)/4 Find s such that -5*s**3 + 545*s**2 - 15120*s + 14580 = 0. 1, 54 What is u in 2*u**2/11 - 2124*u/11 + 563922/11 = 0? 531 Solve -2*t**4/9 - 8*t**3/9 + 4*t**2/3 + 8*t/9 - 10/9 = 0 for t. -5, -1, 1 Let -2*a**4/9 + 50*a**3/9 - 46*a**2/3 + 134*a/9 - 44/9 = 0. What is a? 1, 22 Factor w**2/9 + 14*w - 127/9. (w - 1)*(w + 127)/9 Factor 2*h**5/13 + 266*h**4/13 - 810*h**3/13 + 814*h**2/13 - 272*h/13. 2*h*(h - 1)**3*(h + 136)/13 Determine i so that -4*i**4 - 20*i**3 + 44*i**2 + 132*i + 72 = 0. -6, -1, 3 Let -36*r**3 + 3036*r**2 + 2036*r + 340 = 0. What is r? -1/3, 85 Factor 15*m**2 + 110*m - 80. 5*(m + 8)*(3*m - 2) Let 196*r**4/3 - 868*r**3/3 - 635*r**2/3 + 128*r - 15 = 0. Calculate r. -1, 3/14, 5 Find h such that -h**4/2 + 9*h**3/2 + 24*h**2 + 26*h = 0. -2, 0, 13 Factor 2*m**2/11 - 30*m/11 - 152/11. 2*(m - 19)*(m + 4)/11 Let 3*q**5 + 24*q**4 + 5
{ "pile_set_name": "DM Mathematics" }
et k = -598 - -632. Is 34 a factor of k? True Suppose -7*u + 2*u + 810 = 0. Let r(b) = -15*b**3 + 4*b**2 + 6*b - 17. Let x be r(2). Let k = u + x. Does 26 divide k? False Suppose 0 = 2*h + 1840 - 512. Let p be h/(-6) + (-8)/(-24). Let u = p + -56. Does 10 divide u? False Does 7 divide (-5)/((-30)/684) + -4 + 4? False Suppose -9*s + 10*s - 20 = 0. Is 5 a factor of s? True Let c = -8 - -12. Suppose -c*b + 3*b + 16 = 0. Is b a multiple of 4? True Let f = 1037 - 951. Does 3 divide f? False Suppose 0 = 7*o - 3*o - 160. Is o a multiple of 10? True Let m be (-82)/3 + 2/(-3). Let p = m - -30. Suppose p*y = 9 + 23. Is 5 a factor of y? False Suppose -45 = 8*k + k. Let w be (3/2)/(3/(-4)). Does 10 divide ((-25)/w)/k*-12? True Suppose 15*f - 11*f = 96. Is 15*(-4)/f*-28 a multiple of 35? True Is 24 a factor of (-144)/(-10)*60/18? True Suppose f = -5*j + 2874, -f + 5*j + 2910 = j. Does 17 divide f? False Let r(t) = -t**3 - 3*t**2 + 3*t - 2. Let z be r(-5). Let l = z + -19. Suppose -l = -0*o - o. Is o a multiple of 14? True Let x(k) be the third derivative of -25*k**4/24 - 5*k**3/6 - 10*k**2. Is x(-2) a multiple of 5? True Let d = -6 + -20. Let f(w) = -w**3 - 27*w**2 - 29*w + 21. Is 33 a factor of f(d)? True Let w(q) = 4*q**2 - 12*q + 56. Is 21 a factor of w(7)? True Does 14 divide 8 + -11 + 2/(8/3260)? True Let h(j) = j**3 - j**2 + 71. Let w be h(0). Let v = 118 - w. Suppose 4*a = -3*y + v, -4*a + 3 + 5 = 0. Is 13 a factor of y? True Let t(v) = -v**2 + 40*v - 72. Is t(16) a multiple of 12? True Suppose 174 = 3*z + 3*u, 2*z - u = -2*z + 247. Is 2 a factor of z? False Let t be (-11609)/(-91) + 6/14. Suppose 5*s = 9*s - t. Is s a multiple of 3? False Let g(o) = o**3 + o**2 - o + 2. Let l be g(-2). Let r(n) = -n**2 + n + 12. Let d be r(l). Let u = d + -5. Is u a multiple of 7? True Suppose -4*u + 0*u + 1973 = y, 2*u + 2 = 0. Is 63 a factor of y? False Let q(c) = 28*c**2 + 4*c - 5. Is 11 a factor of q(2)? False Suppose u + 0*u - 3 = 0. Suppose 3*v + 2*w - 280 = u*w, -5*w - 191 = -2*v. Does 12 divide v? False Let a = 35 + -33. Suppose k - 4*f - 180 = -k, a*k - 153 = -5*f. Is k a multiple of 6? True Let l be ((-20)/(-25))/(2/5). Suppose l*q - 3*m = 22 - 1, 4*m = -4*q + 32. Is 3 a factor of q? True Suppose -5*h - 28 = -m, 5*m + 4 = -4*h - 1. Does 2 divide m? False Let d be (-2)/((-2)/3) + -2. Is 16 a factor of (448/(-4))/(d/(-1))? True Suppose 0 = -2*f - 3*r - 52, 0 = 2*f + r - 0*r + 52. Let o = f + 57. Is o a multiple of 6? False Let c(o) = 8*o - 10. Let b(z) = 7*z - 9. Let v(x) = 5*b(x) - 4*c(x). Let f = -28 + 32. Is 7 a factor of v(f)? True Suppose -8*p - 386 = 182. Let v = p + 86. Is v a multiple of 9? False Let u(z) = -z**3 - 5*z**2 + 5. Let c be u(-5). Suppose -4*q = q + c*g - 850, -3*q + 5*g + 494 = 0. Does 21 divide q? True Suppose 47*i = -1931 + 22235. Does 16 divide i? True Let j = -2374 - -2384. Does 2 divide j? True Let q(f) = -38*f - 19. Let h be q(-4). Let v = h + -88. Is 14 a factor of v? False Suppose 2*w = -4, 5*m = 10*w - 7*w + 256. Is m a multiple of 2? True Suppose -13*o = -9*o - 3132. Does 15 divide o? False Suppose -201 = -2*u + 123. Does 5 divide (4/(-6))/((-6)/u)? False Suppose 3*k = 5*k - 6. Suppose 4*z - 2 = 3*p - 2*p, 0 = k*p + z - 7. Suppose 0*a - 50 = -p*a. Does 25 divide a? True Suppose 2*t = -2*d + 4056, -9*d = -5*d + t - 8118. Is 14 a factor of d? True Let l(o) = -3*o**2 - 11*o + 6. Let m be l(-4). Suppose -3*r + 15 = m*z, 4*z + 15 = -3*r + 42. Is z a multiple of 2? True Suppose 2*k - 4*j - 34 = 0, -k = -5*k + 3*j + 78. Let g(q) = -q - 1. Let d be g(-3). Is k - (d + -2 - -3) a multiple of 6? True Let r(q) = -q**2 - 12*q + 32. Let o be r(-14). Suppose -260 = -5*a - 5*x, -3*x - 2*x - 181 = -o*a. Is a a multiple of 5? False Let a be (-3 - (-2 - -1)) + 6. Let b(d) = -d**2 - 12*d + 8. Let j be b(-6). Suppose a*x + 0*l - j = -2*l, 6 = 3*l. Is 4 a factor of x? False Let a be (8/12)/(4/30). Suppose 0 = 4*o + a*k - 156, k + 117 = 3*o - 3*k. Is 8 a factor of o - 2*4/(-8)? True Is 10 a factor of (-2*2)/(4/(-691))? False Let g be (-155)/9 + 20/90. Let p = g - -11. Does 9 divide -1*23*p/6? False Let x = -26 + 20. Does 4 divide (60/(-18) - 5)/(1/x)? False Suppose 2*b - 3 = 51. Let k = b - 27. Suppose -3*r = -k*r - 153. Is r a multiple of 18? False Let n = 2227 + -1129. Is n a multiple of 29? False Let m = 201 - 96. Does 15 divide m? True Let l(s) = s**3 - 2*s**2 + 2 + 0*s**2 - 9*s**2 + 14*s. Does 21 divide l(10)? True Suppose -16 = -4*r, 3*x - 4 = 5*r + 12. Suppose 4*m = 2*b - 8, -b - 2*b = 4*m - x. Suppose m = 2*d + 10 - 74. Does 9 divide d? False Suppose 3*g = 2*v + 1708, 0 = -2*v + 5 - 15. Is g a multiple of 8? False Let m(n) = n**2 + 10*n + 7. Let y be m(-9). Let s(v) = 30*v**2 + 3*v. Is s(y) a multiple of 18? False Let t be (-1 + 0)*-4 + 0. Suppose 0 = 3*m - 5*a - 359, -3*m - t*a + 349 = a. Is m a multiple of 11? False Let o(k) = 2*k**2 + 45*k + 29. Does 52 divide o(-23)? True Suppose 0 = 4*l - 5*c - 4742, -3*c + 6 = -0*c. Is 99 a factor of l? True Suppose -2*m = -m - 85. Suppose -81*i - 100 = -m*i. Does 11 divide i? False Suppose 0 = 8*z - 13*z - 3*d + 121, -d - 29 = -z. Let y be -1*-5*(0 - -1). Suppose -40 = -3*n - 5*q, -3*q + z + 30 = y*n. Does 8 divide n? False Suppose 7*c - 1229 - 7549 = 0. Is 38 a factor of c? True Let g be ((-1)/(-2))/(6/(-48)). Let b(w) = w**3 + 4*w**2 - 4*w - 4. Let o be b(g). Is 6 a factor of 0 + (2 - o/(-3))? True Suppose 4*z - 42 = -5*l, -3 = -4*l + z + 18. Suppose -3 + 111 = l*w. Does 9 divide w? True Suppose 2*a - 32 = 4*g, 2*a = g - 2*g + 2. Let f be 5/(45/g)*-6. Suppose 6*v = -f*w + v + 163, -v + 3 = 0. Is w a multiple of 13? False Suppose 2*t - 5 = 1. Suppose -t*s - 83 = -563. Is s a multiple of 27? False Let t = 82 - 85. Is 12 a factor of (24 - t)*(-16)/(-12)? True Let b(f) be the third derivative of f**5/15 - 5*f**4/12 + 3*f**3/2 + 9*f**2. Is b(3) a multiple of 5? True Let s(r) = -r**3 + 2*r**2 + 10. Let t be s(0). Suppose t*w - 611 - 249 = 0. Is 43 a factor of w? True Let z = -156 + 93. Let i = 94 + z. Does 18 divide i? False Let n(a) = -7*a - 1. Let c be n(-2). Suppose g - c = 2. Is g a multiple of 15? True Suppose 11*n = 594 + 77. Is n a multiple of 6? False Suppose -15*a - 1160 = 5*a. Is (-5)/(-5) + a/(1 - 3) a multiple of 6? True Suppose -h - 5*v + 2 = 0, 3*h + 3*v + 2*v + 4 = 0. Let m be (29/h)/((-4)/60). Let g = -68 + m. Is g a multiple of 19? False Let g(v) = -17*v - 2. Let o be (-6)/9*(-6)/4. Let x(c) = c + 1. Let h(y) = o*g(y) + 4*x(y). Is 16 a factor of h(-6)? True Suppose 3*x + 57 = -0*x. Suppose -2*p + 8*p = 690. Let q = x + p. Does 16 divide q? True Suppose -600 = -9*o + o. Does 5 divide o? True Suppose 40 = 2*q - 4*q. Let k = 17 + q. Is (-46)/k*3 + 2 a multiple of 10? False Let a(r) = -r. Let l be a(-5). Let s = 40 - l. Is s/2*(1 + 1) a multiple of 12? False Let v = 65 + -99. Is 4/v + (-138)/(-17) even? True Let h(q) = 87*q**2 - 10*q - 22. Is h(-2) a multiple of 35? False Let c = 4 - 2. Suppose -3*v + 3 = c*u, 0 = 3*v - 0*v + 5*u + 6. Is v a multiple of 3? True Let p(m) be the second derivative of -2*m - 23*m**2 - 29*m**2 + m**3 + 54*m**2. Does 13 divide p(8)? True Let i(z) = 6*z + 1. Let w be (1/3)/((-7)/(-63)). Let y be 2 + 3/((-9)/w). Is 7 a factor of i(y)? True Let l = -36 + 39. Suppose 0 = -l*x - 15, -4*i + 3*x + 99 = 12. Is i a multiple of 18? True Let l(r) = 5*r**2 - 19*r - 61. Does 37 divide l(-10)? True Suppose 3*m = 6 + 150. Suppose 5*x - 53 = m. Is 21 a factor of x? True Let v = 6732 + -3526. Does 51 divide v/35 + 6/(-10)? False Let u = 3817 - 1357. Is 10 a factor of u? True Suppose -4*u - 16 = 0, -2*u - 408 = -3*n - 22. Suppose -4*a + 2*a + n = 0. Does 21 divide a? True Suppose 48*y = 47*y - 3. Does 8 divide 1*-3 + (-2 - 207/y)? True Let t(i) = 84*i**2 + i. Let a be t(-1). Suppose 1 = m + 2, 0 = -2*n + 3*m + a. Is 10 a factor of n? True Suppose -b + 5*b = -8. Let t be (0/2)/(1 + b). Suppose t = -3*u, -216 = -4*r + 4*u + u. Is 18 a factor of r? True Suppose k = -30 - 0. Is (816/k)/(4/(-10)) a multiple of 17? True Let z = -2558 - -2899. Does 31 divide z? True Suppose -5*s + 6*n = n - 2000, 0 = -3*n. Is s a multiple of 32? False Suppose 3*n + 5*c = -85, 66 + 42 = -4*n - 4*c. Let v = n - -22. Does 20 divide 1/((2 + v)/(-46))? False Let l = 876 - 502. Is 17 a factor of l? True Let
{ "pile_set_name": "DM Mathematics" }
d**2 - 2*d*u**3 + 6 wrt u. 240810*a*d*u - 2*d**3 - 12*d*u What is the second derivative of 21*h*i**2 - 4*h*i*k - 21*h*i + h*k - 376775*i**2*k*u + 2*i**2*k + 2*i*k*u - 3*i*k - 269*i*u + k*u - 1 wrt i? 42*h - 753550*k*u + 4*k What is the third derivative of -107964*s**5 - 2110*s**2 - 3544*s wrt s? -6477840*s**2 Find the first derivative of 6116*j**2*u + 2*j**2 - 24*j*u - 2*j + 10783892*u wrt j. 12232*j*u + 4*j - 24*u - 2 What is the third derivative of 489378752*f*p**3 + f*p**2 + 275*f*p + 292803*f wrt p? 2936272512*f Find the third derivative of -43173409*a**3 + 661886*a**2 wrt a. -259040454 What is the second derivative of -51122238*m**4 - 18177*m + 8342? -613466856*m**2 Differentiate 420760256*x + 189080711 wrt x. 420760256 Find the first derivative of -2*t**3 - 23209*t**2 + 67*t + 48567240. -6*t**2 - 46418*t + 67 What is the third derivative of -263*m*v**4 - 7*m*v**3 + 8*m*v**2 - 336*v**4 - 2*v**3 + v**2 + 2*v + 454102 wrt v? -6312*m*v - 42*m - 8064*v - 12 What is the third derivative of -20956*c**5*p + 3492*c**4*p - 73*c**2*p - c**2 + 98*c + 1595*p wrt c? -1257360*c**2*p + 83808*c*p What is the second derivative of 11472994*p**2 + 9560*p + 95 wrt p? 22945988 What is the derivative of 38313755*y**4 + 25686985 wrt y? 153255020*y**3 What is the third derivative of d**5*w + 12058301*d**4 - 3*d**3*y + 4*d**2*w - 192177*d**2 + 12*w*y wrt d? 60*d**2*w + 289399224*d - 18*y What is the second derivative of -30*c**4 - 148016*c**3 - c**2 - 10848505*c? -360*c**2 - 888096*c - 2 What is the second derivative of -133*f**4*x - 177247*f**2*x**2 + 7*f*x**2 + 1900344*f wrt f? -1596*f**2*x - 354494*x**2 Find the second derivative of -13540099*b**2*i*t**2 + 3*b**2*t**2 + b*i*t**2 + 2*b*i - 30*b*t**2 + 304*b*t - 7*i - 4*t + 1 wrt b. -27080198*i*t**2 + 6*t**2 What is the third derivative of -49*d**3*k**2*n - 111229*d**3*k*n - 606877*d**2*k**2 + 22*d**2*n - 2*k**2*n wrt d? -294*k**2*n - 667374*k*n What is the derivative of -135810048*u**2 + 110436783 wrt u? -271620096*u Find the third derivative of 9441505*l**5 - l**4 - 4355*l**2 + 688*l + 3 wrt l. 566490300*l**2 - 24*l Find the third derivative of -108790762*r**5 + 947*r**2 + 6*r - 270 wrt r. -6527445720*r**2 Find the third derivative of 178147013*h**3 - 2013457*h**2 + 11*h - 2 wrt h. 1068882078 What is the derivative of 15980616*g**2 + 23388830? 31961232*g What is the second derivative of 7*h**3*k**2 - h**3 + 2602003*h**2*k**2 + h**2 + 8*h*k**2 - 12*h*k - h + 13244 wrt k? 14*h**3 + 5204006*h**2 + 16*h Find the second derivative of -6229998*k**3 - 3*k**2 - 237498*k - 11. -37379988*k - 6 What is the first derivative of -66524446*j**3 - 2*j - 129460837 wrt j? -199573338*j**2 - 2 What is the third derivative of -155*y**5 + 13232*y**3 - y**2 - y - 9641395 wrt y? -9300*y**2 + 79392 Find the second derivative of -18185*c**3 - 2149*c**2 + 199*c + 252319 wrt c. -109110*c - 4298 What is the first derivative of -2*a*i*z - 7*a*i - 19*a*z + 30*a - 37391*i*z + 228*i wrt a? -2*i*z - 7*i - 19*z + 30 Find the second derivative of -43935*q**4*u - 331*q**2*u**3 + 12*q*u**2 - 4*q*u + 489*q + 3*u**3 + 3*u**2 wrt q. -527220*q**2*u - 662*u**3 Find the first derivative of 24*i**4 + 1022*i**3 + 31*i**2 + 3250980 wrt i. 96*i**3 + 3066*i**2 + 62*i Find the third derivative of c**4*g**2 + 4069852*c**3*g**2 + 228*c**2*g**2 - c**2 - 11*c*g**2 + 3*c*g wrt c. 24*c*g**2 + 24419112*g**2 What is the second derivative of 6067264*n**2 - 56957833*n wrt n? 12134528 Find the second derivative of -162*i**3*v - 7*i**3 + 3591*i**2*v - 2*i**2 + 18*i*v - 2906*v + 760 wrt i. -972*i*v - 42*i + 7182*v - 4 Differentiate -79*d**2*l - 3*d*l**3 - 9*d*l**2 + 3*l**3 - 50862*l**2 - l - 2 with respect to d. -158*d*l - 3*l**3 - 9*l**2 What is the third derivative of 360*b**5*j + 688794*b**3*j + 1009*b**2*j + b**2 - 25*b*j - 4*b - 2*j + 2 wrt b? 21600*b**2*j + 4132764*j Differentiate -18733*l**3 - 108*l*y - 34419562*y with respect to l. -56199*l**2 - 108*y Find the third derivative of -12481567*c**3 + 2575*c**2 + 869*c. -74889402 What is the second derivative of 1830*a**3*b**3 + a**3*b + 1052954*a*b - 86*b**2 wrt b? 10980*a**3*b - 172 Find the third derivative of 86387266*v**5 + 2*v**4 - v**3 + 37216799*v**2 wrt v. 5183235960*v**2 + 48*v - 6 Find the third derivative of 3276258*n**4 + 21*n**3 + 64084937*n**2 wrt n. 78630192*n + 126 Find the first derivative of 14720188*c**4*d**2 - 5061903*d**2 wrt c. 58880752*c**3*d**2 What is the third derivative of -39293*l**6 - 933*l**5*y - 559*l**2 + 548*l*y - 21*l - 7*y wrt l? -4715160*l**3 - 55980*l**2*y What is the third derivative of 4734121*h**4 + 260356*h**2 + 3? 113618904*h What is the third derivative of -3057854*h**3 + 4754*h**2 - 312*h? -18347124 What is the first derivative of -r**3*s - 324*r**3 + 2*r*s*z - 148752*s*z + 34*s + 298781*z wrt s? -r**3 + 2*r*z - 148752*z + 34 What is the third derivative of -3429*h**2*v**3*x + h**2*v**2*x - 2*h**2*v**2 - 2*h**2*x + 2*h*v**3*x + h*x + 222*h - 517*v**3 + 3*v*x wrt v? -20574*h**2*x + 12*h*x - 3102 Find the third derivative of -1044433494*a**3 - 258*a**2 - 808360*a wrt a. -6266600964 Find the second derivative of 128*h**5 - 2155368*h**4*w - 72*h*w - 2570*w - 185 wrt h. 2560*h**3 - 25864416*h**2*w Find the third derivative of 41415*c**5 - 2860*c**4 - 2416*c**2 + 20746. 2484900*c**2 - 68640*c Differentiate 1673*n**4 - 49*n**3 + 2*n**2 + 2*n + 7345346 with respect to n. 6692*n**3 - 147*n**2 + 4*n + 2 Find the third derivative of -10799753*q**5 - 3*q**3 - 1257499*q**2. -647985180*q**2 - 18 Find the first derivative of -4668200*c*h**2 - h**2 + 16776*h + 69 wrt c. -4668200*h**2 Find the second derivative of -6698027*a**2 - a + 2102759 wrt a. -13396054 Find the second derivative of -75*m**3*r - 3*m**3 + 930*m**2*r + 84*m**2 - 460*m*r + 18*m - 44*r - 6 wrt m. -450*m*r - 18*m + 1860*r + 168 Find the third derivative of 1002410124*f**2*j**3 - 53*f**2*j**2 - 6*f**2*j + 16*f**2 - 2*j**2 - 1049*j wrt j. 6014460744*f**2 What is the third derivative of 77*f**3*m*u**3 + 32262*f**3*m*u**2 - 465*f**2*u**2 + 52*f*u**3 + 12*m*u**2 - 2*u**3 wrt f? 462*m*u**3 + 193572*m*u**2 Find the second derivative of 24*c**3 + 463998*c**2 + 344963065*c. 144*c + 927996 Find the second derivative of -97919271*a**4 - 44277760*a. -1175031252*a**2 Find the first derivative of -152792819*n**2 - 1048957. -305585638*n What is the second derivative of d**2*i**2 + 1662*d**2*i - 38*d**2 - 6044*d*i**2 - 356*d*i + 2*d wrt d? 2*i**2 + 3324*i - 76 What is the derivative of 5*s**2 - 5937302*s*z**2 - 6*z**2 - 472*z - 1884 wrt s? 10*s - 5937302*z**2 What is the second derivative of -41002359*i**2 - 8*i + 2322459 wrt i? -82004718 Find the first derivative of -437330767*g**2 + 403822247 wrt g. -874661534*g Differentiate -63198827*d*j**3 - j**3 + 2*j - 146151 wrt d. -63198827*j**3 Find the first derivative of 6739419*n + 280138609. 6739419 Find the third derivative of -2*a**3*b**3 - 216770*a**3*b - 89*a**3 + 2*a**2*b**2 + 310*a*b**2 - 490*a + 9*b**3 wrt a. -12*b**3 - 1300620*b - 534 What is the third derivative of 1188*g**6*k - 328*g**4*k - 53*g**2*k - g**2 + 16*g + 7*k - 4 wrt g? 142560*g**3*k - 7872*g*k Differentiate -25735*p**3 + 88*p**2*q**3 - 1160*q**3 - q - 2446 with respect to p. -77205*p**2 + 176*p*q**3 What is the second derivative of -868675*c**3*l**3 + 344*c**3 - 2*c**2*l**4 - 10*c*l - 2*c + 79*l wrt l? -5212050*c**3*l - 24*c**2*l**2 Find the third derivative of -16396103*v**6 - 2*v**5 + 10*v**2 - 34*v - 52169. -1967532360*v**3 - 120*v**2 What is the first derivative of -6383520*f + 8136805? -6383520 Find the second derivative of 174*b**3*q**2*y**2 - 9103*b**3*q**2 - 14*b**3*q*y - 1287*b**2*q*y**2 + 2*q*y**2 - y**2 wrt q. 348*b**3*y**2 - 18206*b**3 What is the third derivative of -485998082*t**3 - 2070*t**2 + 107793 wrt t? -2915988492 What is the first derivative of -90*o*x + 17542*o + 69285166*x wrt o? -90*x + 17542 Find the second derivative of 3874213*a**4*r**2 - a**3*r**2 - a*r**2 - 756600*a*r + 7*r**2 wrt a. 46490556*a**2*r**2 - 6*a*r**2 What is the second derivative of 163005286*z**3 + 3978*z + 37092 wrt z? 978031716*z Find the second derivative of 2*z**4 + 1746*z**3 - 189*z**2 + 195560976*z wrt z. 24*z**2 + 10476*z - 378 Find the second derivative of -751517*x**2 - 335352*x - 17 wrt x. -1503034 Find the first d
{ "pile_set_name": "DM Mathematics" }
2*sqrt(5) - 3 Simplify (-5*(1 + sqrt(12) - sqrt(12)))**2. 25 Simplify -1 + sqrt(60)/sqrt(3). -1 + 2*sqrt(5) Simplify (-4 + sqrt(5)*3 + (sqrt(5) + 3)*-6)**2. 132*sqrt(5) + 529 Simplify ((sqrt(130) - (-5*sqrt(130)*2 - sqrt(130)))/(sqrt(810)*1))**2. 208/9 Simplify (((-1*sqrt(720) + sqrt(720))*-4 - sqrt(720)) + sqrt(720) + (sqrt(5) + (sqrt(5)*1 - sqrt(5)))*-5*-4)**2. 2000 Simplify ((sqrt(405) + 0 + 1 - (sqrt(405) - (-1 + 2*sqrt(405) - sqrt(405))))*-1)**2. 405 Simplify (2*sqrt(425))**2 + 6*(sqrt(17) + (sqrt(153) - sqrt(17))) + sqrt(17). 19*sqrt(17) + 1700 Simplify (1 + -1*sqrt(128))*-3. -3 + 24*sqrt(2) Simplify 5 + ((sqrt(2448) + -1)*5 - (sqrt(2448) + -1)*-1)**2. -864*sqrt(17) + 88169 Simplify ((-2 + sqrt(200) + (sqrt(200) - 2*sqrt(200)) - 3*(1 + sqrt(200)))*-1)**2. 300*sqrt(2) + 1825 Simplify (1*(sqrt(117) - (sqrt(117) + sqrt(117) + (sqrt(117)*-1 - sqrt(117)))) - sqrt(117))/((sqrt(144) - 2*sqrt(144)) + sqrt(144) - sqrt(9)). 0 Simplify (2 + -3*sqrt(17) - sqrt(17) - sqrt(17)) + 4. -5*sqrt(17) + 6 Simplify (sqrt(28) + 0 + sqrt(28) + -3)**2. -24*sqrt(7) + 121 Simplify sqrt(156)/(6*sqrt(24)/sqrt(2))*-3 + 5. -sqrt(13)/2 + 5 Simplify -3 + sqrt(45)/((sqrt(45)*-4)/sqrt(5)). -3 - sqrt(5)/4 Simplify 4 + sqrt(2) + 3 - (sqrt(128) + -5). -7*sqrt(2) + 12 Simplify ((sqrt(80)/(sqrt(8) + sqrt(128)))/(sqrt(18)/sqrt(36)))**2. 4/5 Simplify -1*sqrt(91)/(sqrt(1008) - sqrt(1008)*-1)*1. -sqrt(13)/24 Simplify ((sqrt(152)*-2 - sqrt(152))*5 + sqrt(152))/(sqrt(8) - sqrt(16)/sqrt(2)*5). 7*sqrt(19)/2 Simplify (sqrt(19) + 1)*3 + sqrt(19) - (sqrt(1216) + sqrt(1216)*-1 + sqrt(1216))**2. -1213 + 4*sqrt(19) Simplify (sqrt(17) + 4*sqrt(153))**2 + sqrt(17) + -1 + 2. sqrt(17) + 2874 Simplify (1 + sqrt(1900) + sqrt(1900)*-3 - sqrt(1900) - (sqrt(1900) + -1 + 2))**2. 30400 Simplify 1*((4 + sqrt(11) + -1)**2 + sqrt(66)/(sqrt(12)/sqrt(2))). 20 + 7*sqrt(11) Simplify -2 + sqrt(891) - -4*sqrt(275). -2 + 29*sqrt(11) Simplify (-1*(sqrt(33) + sqrt(132)/sqrt(4) + sqrt(33)))/(-2*sqrt(11)*-4). -3*sqrt(3)/8 Simplify 2 + 4*((6*-1*sqrt(300) - sqrt(300))**2 + sqrt(300) + sqrt(300)). 80*sqrt(3) + 58802 Simplify -3*3*sqrt(52). -18*sqrt(13) Simplify 4 + (sqrt(6)/(sqrt(27)/sqrt(9) + sqrt(3)))**2 + -3. 3/2 Simplify (5*(sqrt(1700) + 1 + 2))**2. 1500*sqrt(17) + 42725 Simplify -3 + ((sqrt(99)*2)/sqrt(9))**2 + sqrt(11) + sqrt(11). 2*sqrt(11) + 41 Simplify -2 + (sqrt(52)/sqrt(4) + sqrt(13))**2 + sqrt(13) - (1 + sqrt(13) + -4)**2. 7*sqrt(13) + 28 Simplify -5 + (sqrt(1216) - 6*(sqrt(1216) + sqrt(1216) + 2 + sqrt(1216) + sqrt(1216))) + sqrt(1216). -176*sqrt(19) - 17 Simplify (-3*-2*sqrt(91))/(1*sqrt(700)). 3*sqrt(13)/5 Simplify 3 + (-2*sqrt(304) - sqrt(304)) - (3 + (sqrt(304) - (0 + sqrt(304)))**2). -12*sqrt(19) Simplify (sqrt(143) - (sqrt(143) - 3*sqrt(143))*-6)/(-3*sqrt(539)). 11*sqrt(13)/21 Simplify (sqrt(176) + 0 - (sqrt(176) + 1))**2. 1 Simplify sqrt(448)*1 + 1 + 0. 1 + 8*sqrt(7) Simplify ((6*sqrt(189))/(sqrt(3)*2*-1))**2. 567 Simplify (sqrt(405) - sqrt(405)*1)**2*3. 0 Simplify -5 + sqrt(72)*-3. -18*sqrt(2) - 5 Simplify 5 + sqrt(80) + (-2*sqrt(80))**2 + -5. 4*sqrt(5) + 320 Simplify sqrt(95)/sqrt(45)*2 - (sqrt(19) + sqrt(57)/(-1*sqrt(3)) + -4). 2*sqrt(19)/3 + 4 Simplify -4 + (sqrt(2) - sqrt(16)/(sqrt(24)/sqrt(3))). -4 Simplify (sqrt(160)*2)/((sqrt(88)*-1 - sqrt(88))/sqrt(11) + sqrt(8)). -4*sqrt(5) Simplify (-2*(1*sqrt(45))/sqrt(9))**2. 20 Simplify (-5 + sqrt(13)*-2)*5*5. -50*sqrt(13) - 125 Simplify (sqrt(468) + 3 + 5)**2. 96*sqrt(13) + 532 Simplify ((sqrt(114) + sqrt(114)*-1)/sqrt(6))**2 - (sqrt(19) - (sqrt(19) - (0 + sqrt(19) + 1))). -sqrt(19) - 1 Simplify (-6*sqrt(133)*-2)/(2*sqrt(175) - sqrt(175) - sqrt(175) - sqrt(175)). -12*sqrt(19)/5 Simplify ((sqrt(2736) - (sqrt(2736) + sqrt(2736) + 0 - sqrt(2736)))*-5 + -3)**2*-6. -54 Simplify -5 + (sqrt(4)/sqrt(2) + 1 + (sqrt(2) + -1)*4)**2. -30*sqrt(2) + 54 Simplify (4 + (sqrt(136) + 6*(sqrt(136) - 1*sqrt(136)) - sqrt(136))/(sqrt(8) + ((sqrt(64) - (sqrt(64) - -2*sqrt(64))) + sqrt(64) + sqrt(64))/sqrt(8)))**2. 16 Simplify 5*(sqrt(576)*1)/((sqrt(2) + sqrt(6)/sqrt(3))*-6). -5*sqrt(2) Simplify (1 + sqrt(176) + -5*(-2*sqrt(11) + sqrt(11)))**2. 18*sqrt(11) + 892 Simplify (-1*sqrt(2))**2*4 + 0 + sqrt(6)/sqrt(3). sqrt(2) + 8 Simplify 3*((sqrt(2) - sqrt(450)) + sqrt(2)) + (-5 + (sqrt(200) + -1 - sqrt(200)) + sqrt(200))**2. -159*sqrt(2) + 236 Simplify (sqrt(204)/(sqrt(12) + sqrt(192)*5 + sqrt(12) - sqrt(12)))**2. 17/441 Simplify 2 + 3*sqrt(3) + (sqrt(384)/sqrt(8))**2. 3*sqrt(3) + 50 Simplify (4 + 1*sqrt(500))*5. 20 + 50*sqrt(5) Simplify (sqrt(120)*-2)/sqrt(10). -4*sqrt(3) Simplify 2*sqrt(112)*-6 - (-2 + (5 + 2*sqrt(7) + sqrt(7))**2). -78*sqrt(7) - 86 Simplify 2 + sqrt(176) + 4. 6 + 4*sqrt(11) Simplify (2 + ((sqrt(320) + 1)*1 - sqrt(320)*2*3))**2. -240*sqrt(5) + 8009 Simplify sqrt(21)/(sqrt(70)/(sqrt(10)*-2) - sqrt(7)). -2*sqrt(3)/3 Simplify (sqrt(228)/sqrt(432) + 4)**2. 4*sqrt(19)/3 + 595/36 Simplify sqrt(80) + 1 + sqrt(80) + -2. -1 + 8*sqrt(5) Simplify (2*(2 + 4 + sqrt(112)))**2. 192*sqrt(7) + 592 Simplify (3 + sqrt(405) + 1)**2. 72*sqrt(5) + 421 Simplify (sqrt(3) - 6*sqrt(3)*-1 - (-3 + (sqrt(3)*-1)**2)) + 3. 3 + 7*sqrt(3) Simplify ((sqrt(78) - -3*(3*sqrt(78) - sqrt(78))) + sqrt(78))/sqrt(6). 8*sqrt(13) Simplify sqrt(19) + 1 + sqrt(76) + 1. 2 + 3*sqrt(19) Simplify ((sqrt(432) + (-3*sqrt(432) + -5 - sqrt(432)) - sqrt(432)) + -2 + 1 + sqrt(432))**2. 432*sqrt(3) + 3924 Simplify sqrt(132)/((1*sqrt(108))/sqrt(9))*-1. -sqrt(11) Simplify (sqrt(192) + 1)**2*4 + -5. 64*sqrt(3) + 767 Simplify ((sqrt(288) + sqrt(288) + (sqrt(288) - sqrt(288)*-1))**2 + 1)*2. 9218 Simplify (1*(sqrt(10) + (sqrt(40) - sqrt(10))))/(sqrt(320)*-1). -sqrt(2)/4 Simplify (sqrt(12) + (-2*(sqrt(300) - sqrt(12)) - sqrt(12)))/sqrt(4). -8*sqrt(3) Simplify (-1 + sqrt(1216) - (5 + sqrt(19) + sqrt(19) + 0))**2. -72*sqrt(19) + 720 Simplify (-5 + -6*(-2 + sqrt(128)) + sqrt(128))**2. -560*sqrt(2) + 3249 Simplify -2 + (sqrt(833) + 5 + sqrt(833) + sqrt(833))*3. 13 + 63*sqrt(17) Simplify (sqrt(78)/(sqrt(6) + -2*sqrt(6)*4) + -4)**2. 8*sqrt(13)/7 + 797/49 Simplify (-4*(sqrt(20) + sqrt(720)))/(sqrt(16)/sqrt(4)*-5). 28*sqrt(5)/5 Simplify -5 + ((sqrt(17) - (-1 + sqrt(833))) + 1 + sqrt(272))**2 + 0. -8*sqrt(17) + 67 Simplify (sqrt(144)/(sqrt(27)/sqrt(3)))/(sqrt(648)*-2)*-6. sqrt(2)/3 Simplify (sqrt(121) + (sqrt(121) + sqrt(121)*2)*2 + sqrt(121))/sqrt(11). 8*sqrt(11) Simplify (4 + -2 + sqrt(468) + sqrt(468))**2. 48*sqrt(13) + 1876 Simplify (-1 + sqrt(539) + -5 + -5)**2. -154*sqrt(11) + 660 Simplify -4*(sqrt(1700) - sqrt(1700)*-2 - (-5 + 1 + sqrt(17) - sqrt(17))). -120*sqrt(17) - 16 Simplify (-4 + sqrt(208)*-6)**2. 192*sqrt(13) + 7504 Simplify sqrt(363) + -1 + 0 + sqrt(108) + 1. 17*sqrt(3) Simplify -2*(sqrt(300) + 2)**2. -608 - 80*sqrt(3) Simplify -4*((4*(sqrt(18) + sqrt(54)/sqrt(3) - sqrt(18)))/sqrt(9))**2. -128 Simplify 6*sqrt(18) + -5. -5 + 18*sqrt(2) Simplify (sqrt(110)/(sqrt(2)*-2))/(-5*-3*sqrt(11)). -sqrt(5)/30 Simplify -5*sqrt(38)/sqrt(2) + (sqrt(684) + 2)**2. 19*sqrt(19) + 688 Simplify ((sqrt(65) - ((4*sqrt(65) + sqrt(65))*-5 + sqrt(65)))/sqrt(5))**2. 8125 Simplify (-4 + sqrt(34)/sqrt(2))**2 + sqrt(17) + sqrt(34)/sqrt(2) + -5. -6*sqrt(17) + 28 Simplify (sqrt(98) + 1*sqrt(98))**2*2 - (-2 + sqrt(98) + -1)**2. 42*sqrt(2) + 677 Simplify ((sqrt(52)/(sqrt(4) + sqrt(4)*2))**2 - sqrt(13)) + (sqrt(13) - sqrt(52)/sqrt(4) - sqrt(13)) + 0 + sqrt(13). -sqrt(13) + 13/9 Simplify -2*(-4 + -1 + sqrt(19))**2 + ((sqrt(209)*-2 + sqrt(209))*-3)/sqrt(11). -88 + 23*sqrt(19) Simplify -1*sqrt(288)*-5. 60*sqrt(2) Simplify (4*(5 + sqrt(320)) + 0)**2. 1280*sqrt(5) + 5520 Simplify 0 + (sqrt(6)*-1)/sqrt(2). -sqrt(3) Simplify (sqrt(1216)*-1 - (sqrt(190)*3)/sqrt(10))**2 + 1. 2300 Simplify sqrt(68)/(sqrt(4) + sqrt(324)*-2 + sqrt(324) + sqrt(4))*-1. sqrt(17)/7 Simplify sqrt(51)/(sqrt(27) + sqrt(3)) + sqrt(17) + 5 + (sqrt(68)/sqrt(4))**2. 5*sqrt(17)/4 + 22 Simplify ((sqrt(256)*2 - sqrt(4))/sqrt(2))**2. 450 Simplify (2 + -1 + (sqrt(5) - sqrt(30)/sqrt(6)))*4. 4 Simplify -5*(2*sqrt(1216) + 2) + 3. -80*sqrt(19) - 7 Simplify ((sqrt(7488) + -1 + sqrt(7488) + sqrt(7488))*-4 + sqrt(7488) + 0)**2. -2112*sqrt(13) + 906064 Simplify (sqrt(17) + 1)*-1 + 5. -sqrt(17) + 4 Simplify -2*(sqrt(3) - (sqrt(30)/(-1*sqrt(10)) + sqrt(3))). -2*sqrt(3) Simplify sqrt(637) - (sqrt(637)
{ "pile_set_name": "DM Mathematics" }
5)*v*v)*v)**(-10/11) assuming v is positive. v**(-89/5) Simplify (o**(-5/3))**(-13)/(o**(-2))**22 assuming o is positive. o**(197/3) Simplify ((r/r**30*r)/(r/r**10))/(r*r/(r*r*r*r/(r/(r*r**(18/5)))*r)*r**(1/6)) assuming r is positive. r**(-377/30) Simplify (z/((z/(z*z*z**(1/10)/z))/z))/(((z/(z*z/(((z**14/z)/z)/z)))/z)/z)*z**(-13)/z**(-5) assuming z is positive. z**(-139/10) Simplify (i**(-3/5)/(i*i**(-1/3)))/((i*(i/(i/((i*i/i**13)/i)))/i)/(i/(i**(2/41)*i)*i)) assuming i is positive. i**(7186/615) Simplify (n*n/(((((n/(n/(n/((n**(2/13)*n)/n))))/n)/n)/n)/n))**8/(((n*n*n**(-14))/n)/n**(2/3)) assuming n is positive. n**(2141/39) Simplify ((j**(-6)*j/((j*j/(j**9/j)*j)/j))**(7/6))**(1/3) assuming j is positive. j**(7/18) Simplify ((p*(p**0/p)/p)/p)**(-42/11)*p**(2/47)*p**9*p assuming p is positive. p**(9140/517) Simplify (t*t**(-4)*t)/(t*t*t**15)*(t*((((t*t**2*t)/t)/t)/t)/t)/t**18 assuming t is positive. t**(-36) Simplify (d/(d*d*d*(d*d*d*d*d**(-2/9))/d*d))**6/(d**6*d*d**(-3)/d) assuming d is positive. d**(-113/3) Simplify x/x**(-16)*x*x**(-20)*x*x**(-4)*x*x*x**(1/10)/x assuming x is positive. x**(-39/10) Simplify ((v**(-8)/v)/v**(-5/6))/(v*v*v/(v/(v*v/(v**4/v)*v))*v)**(-13/6) assuming v is positive. v**(-5/3) Simplify ((g**(-1/3)*g**(1/2))/(g*g*(g*g**(1/2))/g*g*g*g**8))**(-42) assuming g is positive. g**518 Simplify (y**(-11)/(y**(-24)*y))/(y/((y*y**(-4/21)*y)/y))**49 assuming y is positive. y**(8/3) Simplify ((x**(-2/5)/x)/(x*x**(2/15)))/(x**(-3/8))**47 assuming x is positive. x**(1811/120) Simplify ((d**32)**(6/11))**(-7) assuming d is positive. d**(-1344/11) Simplify ((x*(x*x**(-1/4)*x)/x*x)**(-23)/(x*((x/(x*x*x/(x*x/x**(2/11)*x)))/x)/x*x*x*x**(-7)*x))**(-26) assuming x is positive. x**(33787/22) Simplify (w*w/(w/(w*w/(w*w*w**(1/4)*w)))*w/(w/w**19))/(w**25/w*w*w**16) assuming w is positive. w**(-89/4) Simplify (u*u**(-2/11))/u*u/(u*(u/u**(-2/7)*u)/u*u)*u*(u/u**(-14))**(-7) assuming u is positive. u**(-8198/77) Simplify ((a**(-3/7)/a)/a**(-13/6))/(a/a**(-5/7))**(-1/16) assuming a is positive. a**(71/84) Simplify ((((n**23*n)/n*n)/n)/n**(-2))/(((n*n**15/n*n)/n)/(n/(n*n*(n**1/n)/n))) assuming n is positive. n**10 Simplify v/v**(4/5)*v**(-7)/v*v*(v**(1/12)*v)**(-36) assuming v is positive. v**(-229/5) Simplify (q*q*q*q/(q*q/q**(6/11)*q)*q*((q*q**(-1/11))/q)/q)**27 assuming q is positive. q**(432/11) Simplify v*v*v**(-1/11)*v/(v**30/v)*v*v*(v**7*v*v)**4 assuming v is positive. v**(131/11) Simplify ((((p/p**4)/p)/p)**37)**(-24/11) assuming p is positive. p**(4440/11) Simplify ((l/((l**(-3/2)/l)/l)*l**6)/(l/(l*(l/((l*(l*(l*l/(l/l**(-2))*l*l)/l)/l)/l))/l)*l**0/l))**(14/9) assuming l is positive. l**(161/9) Simplify ((f**(-34))**(2/169))**(-11) assuming f is positive. f**(748/169) Simplify ((x/(x/(x/(x/(x/x**(-22)))))*x/(x*x*x*x*x**12*x))**(-3/14))**46 assuming x is positive. x**(-69) Simplify ((d*d**(-9)/d)**38)**(-1/12) assuming d is positive. d**(57/2) Simplify (c**(-2/13))**(1/8)*(c*c*(c*c*c/(c**(-2)*c))/c)**(2/101) assuming c is positive. c**(419/5252) Simplify ((z**2/z**8)/((z*((z*z*z**(-1/2)*z)/z)/z)/(z**(-1/7)*z)))**12 assuming z is positive. z**(-558/7) Simplify (((t*(t**6*t)/t*t)/t)/(t**(-1/6)*t*t*t*t))**49 assuming t is positive. t**(931/6) Simplify (((((k/((k**13*k)/k))/k*k)/k)/k**(-3))**(2/23))**(1/29) assuming k is positive. k**(-20/667) Simplify w**(-8)/w**(1/2)*w**(-9)/w*w*w**(-7) assuming w is positive. w**(-49/2) Simplify (m*(m/(m**(2/5)*m)*m)/m)**8/(m**(1/9)*m)**47 assuming m is positive. m**(-2134/45) Simplify (m**11*m**(-5)*((m*m**(1/4))/m)**10)**(-2/19) assuming m is positive. m**(-17/19) Simplify k**(-1/4)*k*k*k*k/(k/(k*k**6))*k*k*k/k**7*(k*k**(-12))/k assuming k is positive. k**(-25/4) Simplify ((v**2)**(-30)*(v**(-1/2))**(-2/69))**7 assuming v is positive. v**(-28973/69) Simplify ((((w*w**(-2))/w)/w)/((w*(w**(-7/6)/w)/w*w)/w))/(w/(w*w**(-2/15)*w))**(-2/33) assuming w is positive. w**(-877/990) Simplify j/(j/(j/((j/(j*j**(-2/5)))/j)))*j*j/j**10*((j**(-3)*j)/j)/j*j/j**10 assuming j is positive. j**(-97/5) Simplify ((m/(m**(-1/5)*m))/m*m)**17/((m*m*m**(1/9)/m)/m**(-2/15)) assuming m is positive. m**(97/45) Simplify ((a/(a*a**22/a))/a**(3/2))/(a**(-15)/a**(11/3)) assuming a is positive. a**(-23/6) Simplify (i**(3/10)*i*i**(-22))/(i**(4/3)*i)**(15/7) assuming i is positive. i**(-257/10) Simplify ((m*m/m**(-4)*m)/m)**(2/9)*m**10/m**(-5/6) assuming m is positive. m**(73/6) Simplify (s*s/(s/((s/(s/(s/((s*s/(s*(s/s**(1/2)*s)/s)*s)/s))))/s)))**48*(s**(1/12)/s)/(s*(s*s*s*s/((s/(s*s**(-5/4)))/s*s))/s) assuming s is positive. s**(61/3) Simplify (r/(r/r**10))**(7/10)*(r*r/r**(1/2))**(29/3) assuming r is positive. r**(43/2) Simplify (w**(-12))**(-25/3)*w**(-7)/w**17 assuming w is positive. w**76 Simplify (h*h*h**(-21)/h*h*h**(-20))/(h**4)**(-11) assuming h is positive. h**5 Simplify (h/h**(-2)*(h**1/h)/h)/((h**14/h)/h**(-3/4)) assuming h is positive. h**(-47/4) Simplify (l**(1/7))**(-2/49)*l*((l**(-1/2)/l)/l)/l*l**(-6/13) assuming l is positive. l**(-26463/8918) Simplify (i**(-1)*i**(-5/6))/(i**(3/7)/i**8) assuming i is positive. i**(241/42) Simplify (((t/(t/t**(-9/5)))/t*t)/t**(2/13)*(t*(t/((t**(-11)/t*t)/t))/t)/((t**(2/9)*t)/t))**(2/31) assuming t is positive. t**(12664/18135) Simplify (((a**9)**(-16/7))**(-42))**(6/11) assuming a is positive. a**(5184/11) Simplify (w*w**4*w*w)/w**12*(w/(w**(-3/8)*w))/(w**18/w*w*w) assuming w is positive. w**(-189/8) Simplify (w**(2/3))**(-1/83)/(w**(5/4)*w**4) assuming w is positive. w**(-5237/996) Simplify (b/b**5)**(-47)/((b*b*b**(-3/10))/(b*b*b*b**(-6/7)/b*b)) assuming b is positive. b**(13191/70) Simplify (v**(2/15))**(-28/3)*(v**(-4/7)*v)**(34/7) assuming v is positive. v**(1846/2205) Simplify (((v/(v*v**(4/17)))**(-36))**(-2/13))**(-3/26) assuming v is positive. v**(432/2873) Simplify (q**7*q**(-4/5)/q)/(q**(-17)*q*q*q*(q**10*q)/q) assuming q is positive. q**(46/5) Simplify (u*u*u*u**25*u*((u**36/u)/u)/u)/((u*u**31)/u**13) assuming u is positive. u**43 Simplify (f**(18/7)/f**(-35))**(12/19) assuming f is positive. f**(3156/133) Simplify ((i**2)**(1/3)/(i*(i/(i**(-2/3)/i)*i)/i)**(24/7))**(-17/2) assuming i is positive. i**(2125/21) Simplify (b/(b*b*b**6*b)*(b*b**(-4)/b*b)/b*(b/b**(-5)*b)/b*b/((b/(b**(-1/7)*b))/b))**(-13/5) assuming b is positive. b**(377/35) Simplify (((h*h**(-11))/h**(-3))**(-1/12))**(-1/47) assuming h is positive. h**(-7/564) Simplify (p**(-2/3))**27/(p**0/p**(-4/5)) assuming p is positive. p**(-94/5) Simplify (a/a**(-1)*a)**35*a*a**(1/8)*a/(a/a**(-10/3)) assuming a is positive. a**(2467/24) Simplify l**(-1/10)*l**(-1/34)*(l*l*l/(l/(l**(-8)*l))*l)/l**(5/7) assuming l is positive. l**(-2882/595) Simplify (h**(-5)*h)/((h/(h*h**(4/13)*h))/h)*(h/(h*h**(-1/21)))/(h**(1/3)/h) assuming h is positive. h**(-89/91) Simplify ((g*g**(-2/3))**28)**(-20) assuming g is positive. g**(-560/3) Simplify (j**(-8/3)*j*j*j**(-1/19)*j)/((j*j**(7/4))/(j/((j*j/j**(-4)*j)/j))) assuming j is positive. j**(-1703/228) Simplify (((u/u**(-18/11))/u)/u*u**(13/5))**(-2/71) assuming u is positive. u**(-356/3905) Simplify (b**(-1/10)/b)**(-13)*((b/b**(1/7))/b)/b*(b**(3/8)*b)/b assuming b is positive. b**(3789/280) Simplify ((x**6)**(3/23))**(-49) assuming x is positive. x**(-882/23) Simplify (((j**(-8)/j)/(j/(j/j**(-7)*j)*j))/(j*j/((j*j**(-2/5))/j))**(-23/6))**(-2/29) assuming j is positive. j**(-72/145) Simplify (u**3)**25/(u**0/u)**33 assuming u is positive. u**108 Simplify p**(-23)*p*p/p**0*(p**(-4/19)*p)/(p**(7/3)/p) assuming p is positive. p**(-1228/57) Simplify ((q**(-21)*q)/q)**(-11)/(q*q**(-6)*q*q*(q*q**(-18))/q) assuming q is positive. q**252 Simplify ((v**(13/3)*v)/v*v)/v**(-11)*(((v**(-13)*v)/v*v)/v)/(v*v**(-17)) assuming v is positive. v**(58/3) Simplify (c**7)**(-30)/(c**12*(c/(c/((c/((c**14*c)/c*c))/c)*c)*c)/c) assuming c is positive. c**(-206) Simplify (s*s*s*s*s**4*s)**(-2/89)/((s/(s*s/s**(-10)))/(s*s**(-5)*s)) assuming s is positive. s**(694/89) Simplify ((b**(-2/3))**34/(b**3/b**8))**39 assuming b is positive. b**(-689) Simplify (o/(o*o*o/o**(1/5)*o)*(o*(o/(o**(-11/3)/o))/o)/o)/((((o/(o**(-1/10)*o*o*o))/o)/o)/o**(11/2)) assuming o is positive. o**(169/15) Simplify ((v**(5/6)*v)/v**(-1/2))/(v**(-1/5))**(25/4) assuming v is positive. v**(43/12) Simplify ((z*(z/(z**(1/2)*z*z))/z*z)**(8/5)/((z/((z**(
{ "pile_set_name": "DM Mathematics" }
- 7. Let f = -0.11 + 51.11. What is the second smallest value in f, a, p? p Let u = 130 - 113. Let i = u - 17.068. Let m = i - -0.128. Which is the third smallest value? (a) 1/7 (b) m (c) -0.2 (d) 0 b Let r = -2026.2 - -2026.7. What is the fourth biggest value in -0.001, -0.9, 3/7, r? -0.9 Let v = -242 + 220.4. Let q = v - -22. Let g = -2.24 + -0.76. What is the smallest value in 3, q, g? g Suppose 2*p = -5*d - 13, -35*d + p = -24*d + 61. What is the second smallest value in d, -742/3, 0, 1/12? d Let u = 0.2605 + -0.7605. What is the smallest value in 4/13, 24, -4, u? -4 Let o = -0.03 - -4.03. Let p(t) = 4*t + 5. Let a(f) = -f + 1. Let s(l) = 2*a(l) + p(l). Let w be s(-4). What is the biggest value in w, 0, o? o Let t = 1.2 + -1. Let z = 2523/2 - 5473/4. Let p = 107 + z. Which is the second biggest value? (a) t (b) -0.4 (c) p a Let i = 37791/5 + -7559. What is the second smallest value in i, -39, -0.1? i Suppose -3*y - 3 = -24. Let a be (-9 - y)*(-6)/4. Let c be 2/24*16/a*-8. What is the smallest value in c, 2, -1/4? c Let c = -12719/1016 + -77/127. What is the second biggest value in c, -0.4, 4, 5? 4 Let o = -0.14 - 0.06. Let p = 29 + -29. Let s be -15*(-4 - 26/(-6)). Which is the biggest value? (a) s (b) o (c) p (d) -1 c Suppose -r - 30 = -11*r. Suppose -3*w - r*t - 9 = 0, t + 5 + 6 = -3*w. Let f = -28/9 - -299/99. Which is the biggest value? (a) 0 (b) w (c) f a Let y = 165.199 + -165. Let q = y - -98.801. Let t = q - 95. Which is the third biggest value? (a) 3 (b) t (c) -2/5 (d) -0.3 d Let g = -72.5 + 374.5. Let f = g - 299. What is the biggest value in -19, -2, f? f Let r = 606 + -623. What is the third biggest value in r, 2/23, -4? r Suppose -g - t + 5 = 0, -6*g + 3*g = -t - 11. Let w be ((-10)/10 - 0)*g/(-14). What is the biggest value in w, 2, 0.6, -0.3? 2 Suppose 68*t - 19*t = -1715. Which is the fourth biggest value? (a) 1 (b) 0.4 (c) -2/13 (d) t d Let n = -2.5221 + -0.4779. What is the fourth smallest value in -1/5, n, -9, 5? 5 Let i = 14379.3654 - 14378. Let m = 0.0346 + i. What is the second smallest value in 0.2, m, 5, 0.1? 0.2 Let t = 0.3 + -0.5. Let y = -24485 + 24503. Which is the second smallest value? (a) 0.2 (b) t (c) -1/3 (d) y b Let z = 4175.4 - 4175. What is the second biggest value in z, 3, -0.126, 0? z Let y = 67 - 66. Suppose h + 5*g = 23, 3 + y = 3*h + 2*g. Let f = h - 3. Which is the third smallest value? (a) 1 (b) 1/7 (c) -2/3 (d) f b Let y = 0.1163 + 0.0837. Which is the third smallest value? (a) y (b) 0.46 (c) 2 (d) -4 (e) -2 a Let y be -11*(-9)/990*-2. What is the smallest value in 4/9, 1/6, y? y Let t = -298.8 + 236.8. Which is the smallest value? (a) -1 (b) t (c) -1/5 b Let o = -0.15 + -0.1. Let y = -187890 + 187893. Which is the third biggest value? (a) o (b) 4/5 (c) y (d) 0.3 d Let z = 1.45 - 4.45. Let w be (-1 + 1)/((-12)/6) + -2. What is the second smallest value in w, z, -1.7? w Let k = 1.348 + -1.61. Let r = -1.738 + k. What is the second biggest value in -0.04, r, 2? -0.04 Let x = -70.2 - -283.7. Let v = x + -214. Which is the third biggest value? (a) -0.2 (b) -23 (c) v b Suppose f - u = 2*f + 4, 0 = 5*f - 4*u + 2. Let v(b) = 20*b - 66. Let c be v(4). Let x be 75/50 + (-25)/c. What is the second biggest value in x, -5, f? f Let h = -0.111 + 1.271. Let n = -66 + 66.66. Let t = n - h. Which is the biggest value? (a) -2/3 (b) -1/3 (c) t (d) -5 b Suppose 234*l + 549 = 51*l. Which is the fourth smallest value? (a) -5 (b) 2/9 (c) 0.2 (d) -4 (e) l c Let o = 5059 + -5056. Which is the biggest value? (a) -0.4 (b) o (c) -0.28 (d) 1 (e) -2/9 b Let y = -2024.07 + 2024. What is the smallest value in -15, y, 3/4? -15 Let n be (-648)/243*(-2)/8. Let s = 7 - 7.03. Which is the biggest value? (a) -0.1 (b) s (c) -9 (d) n d Let j be ((-1810)/(-13575))/(2/6 - (-4)/(-30)). What is the smallest value in -4, j, 12.02? -4 Let d(w) = -w**2 + 3*w - 4. Let k be d(3). Let x = -13650 - -13654. Let h = -158/9 + 52/3. What is the fourth biggest value in k, -0.4, h, x? k Let b = -104.1 - -106.1. What is the fourth smallest value in -0.1, b, 2/3, 2/23, -0.6? 2/3 Let g = -6 - 0. Let f be (-14)/12 + g/(-9). Suppose 4*j - 3*w = 33, 57*w - 54*w = -6*j - 3. Which is the third biggest value? (a) 2 (b) j (c) f c Suppose 2*z = 6, 0 = 12*m - 4*m - 3*z + 49. What is the third smallest value in -0.4, -1/2, -24, m, 1? -1/2 Suppose 21*r - 44*r = -69. Let k be (286/(-65) - r/5)*-1. Which is the smallest value? (a) 1/3 (b) k (c) 0.03 c Let i = -1.934 - -2.334. Which is the second biggest value? (a) i (b) 61 (c) 4 c Let l = -3/32 - -47/160. Let r = 8493 + -382204/45. Let p = l + r. Which is the biggest value? (a) 4 (b) -1/4 (c) p (d) 0.5 a Let i be 6/(-4)*4/(-33). Let x = -1400.5 - -1401. Which is the third biggest value? (a) i (b) x (c) 2/13 (d) 2/5 a Suppose -5*s = -4*c + 2*c - 22, -5*c - 9 = -s. Let q = 4 - 7. Let z = 2110685.01 + -2110685. What is the second biggest value in z, q, c? c Let g be 13886/4558 - (-4)/(-86). Let y = 0.2 - 0.4. Let p = y + 1.2. What is the smallest value in 0.4, g, p? 0.4 Suppose c - 3*c = -40. Suppose -5*r + c = -15*r. Let o = -0.04 + -0.16. What is the second smallest value in -0.5, r, o? -0.5 Let f = 11719 - 11702.7. What is the biggest value in f, -5, 2/7, 0.2? f Let r = -501 + 501.3. What is the second smallest value in r, 0.8, 1.07? 0.8 Let y = 34 + -21. Suppose 22 = -3*x + y. Let r be 308/33*x/(-2). What is the third biggest value in 1/5, 5/3, r? 1/5 Let z = 5 - 8. Let u be (256/(-25))/(4/10). Let y = -26 - u. What is the third biggest value in y, 1, -2/15, z? y Let q = 131 - 242. Let r = -111 - q. What is the third smallest value in 5, r, -1? 5 Let o = -354 - -1413/4. What is the fourth smallest value in o, -46, -0.5, 0.1? 0.1 Suppose s = -s - 8. Let w = -8436 + 8434.7. Which is the biggest value? (a) 0.2 (b) w (c) 4 (d) s c Suppose 0 = -3*p - 165*v + 160*v + 1, 0 = -p - 4*v - 2. Which is the second smallest value? (a) 4/9 (b) -5 (c) p (d) -1/15 (e) -5.1 b Suppose 3*f - 43512 = -11139. Let z = 54139/5 - f. Let c = z + -36. What is the smallest value in -12, c, 2/7, 3? -12 Let g = 2 - 3. Suppose 8*d = -7*d - 4*d. Suppose -3*s + 5*r = 27, s - 4*r + 15 + 1 = d. What is the smallest value in s, 0.6, g, 4? s Let h = -2.4 + 5.1. Let n = -1.3 - h. Let w = -133 - -132.5. Which is the second smallest value? (a) w (b) n (c) 2/17 a Let r be (248/8 - 11)*4*(-3)/(-48). Which is the smallest value? (a) -2 (b) r (c) 1167.6 a Suppose -3*d + 23 - 5 = 3*q, 3*q = 5*d - 14. Let r be (-4)/(240/7) - q/15. Let i = -2 + 4. Which is the second smallest value? (a) i (b) -0.01 (c) r b Let s = 40685.7 - 40686. Which is the fourth smallest value? (a) 7 (b) -2 (c) -0.06 (d) -26 (e) s c Let s be (39/12012*8)/(2/(-14)). Which is the second smallest value? (a) -1/27 (b) 0.4 (c) s a Let v = 0.82 - 0.32. Let r = 0.02 - 1.22. Let s = -0.8 - r. What is the biggest value in 4, s, v, 2/3? 4 Let h = -1519.5 - -1597.5. Which is the smallest value? (a) 0.4 (b) -0.6 (c) h b Let b = -1.52 - 5.48. Suppose 5*i - 2 = 2*g, 0 = -i - 0*g - 5*g - 5. What is the smallest value in b, i, 7? b Let k = 1268.1 + -1268. Which is the smallest value? (a) k (b) -2 (c) 3 (d) 12 b Suppose -31 = -3*l - 0*l - 5*p, -2*p = -10. Let s be (178/56 + -28 + 26)*8. Let v = s + -507/56. Which is the third smallest value? (a) v (b) 1 (c) l c Let s = -1926 - -1926. What is the fourth smallest value in -2, 5, -0.07, s, -7? s Let s = -721 + 717. Let n = -41 + 1. Let f be n/210*3/2. What is the third biggest value in s, f, 2/7, 0.5? f Let n = 0.39368 - 0.79368. What is the third biggest value in -0.3, 18, -3, n, 0.3? -0.3 Let n = -7 - -6.76. Let r be (-2*(-6)/(-21))/(4/(-14)). Let d = 2.68 + -5.68. What is the second biggest value in d, n, r? n Let y(r) = r**3 - 14*r**2 + 4*r - 51. Let m be y(14). Which is the biggest value? (a) -4 (b) -3/47 (c) m c Suppose -5*o = -2*l - 851, -4*o - 2105 = 5*l - 9*o. Let g = l + 1675/4. What is the second smallest value in -0.5, -2, g, -1/3? -0.5 Let i = -0.12 - -0.09. Let n = i + 2.03. Let s = -0.3 - -0.28. What is the smallest value in n, s, -5? -5 Let h = 227819/3278 - -1/1639. Let m = h + -2923/42. Let g be (-9)/(-66)*(-20)/15. Wha
{ "pile_set_name": "DM Mathematics" }
cement from {i: 3, x: 3}. 1/5 What is prob of picking 1 f and 1 g when two letters picked without replacement from gufffgk? 2/7 Three letters picked without replacement from {e: 3, n: 1}. Give prob of picking 3 e. 1/4 Calculate prob of picking 1 s, 1 q, and 2 i when four letters picked without replacement from {s: 2, i: 1, q: 4}. 0 Calculate prob of picking 1 e and 2 o when three letters picked without replacement from {f: 3, z: 1, d: 3, x: 1, e: 2, o: 3}. 3/143 Three letters picked without replacement from {n: 1, g: 12}. Give prob of picking 1 n and 2 g. 3/13 Two letters picked without replacement from {e: 1, h: 1, f: 1}. What is prob of picking 1 e and 1 f? 1/3 Calculate prob of picking 2 o when two letters picked without replacement from oppoppopoppppppo. 1/12 Three letters picked without replacement from {x: 4, e: 4, o: 3}. What is prob of picking 1 x and 2 e? 8/55 Four letters picked without replacement from xdzzbmxdxhdzhbmhdz. Give prob of picking 2 d and 2 z. 1/85 What is prob of picking 2 p when two letters picked without replacement from {n: 2, i: 1, p: 2, y: 1}? 1/15 Calculate prob of picking 1 o and 1 b when two letters picked without replacement from zzxixoxzxvxxxbxxxx. 1/153 Calculate prob of picking 1 p and 1 w when two letters picked without replacement from {q: 9, p: 4, w: 3}. 1/10 Two letters picked without replacement from jjqqjrrrtwjjwj. What is prob of picking 2 r? 3/91 What is prob of picking 1 p and 1 j when two letters picked without replacement from jjpppppjpppppppjjppp? 15/38 Three letters picked without replacement from kkwiouixxik. What is prob of picking 1 w, 1 k, and 1 u? 1/55 What is prob of picking 2 w when two letters picked without replacement from pidijjppwjwpww? 6/91 Four letters picked without replacement from gaxajhrxxgxhjjag. Give prob of picking 1 g, 1 r, 1 h, and 1 a. 9/910 Two letters picked without replacement from sqgsqgssq. What is prob of picking 2 q? 1/12 Four letters picked without replacement from iyyyi. What is prob of picking 3 y and 1 i? 2/5 Two letters picked without replacement from uueaaaeauaaeuueesau. Give prob of picking 1 a and 1 e. 35/171 Calculate prob of picking 1 p, 1 s, and 2 z when four letters picked without replacement from snyszpppzppppsggppz. 27/1292 Four letters picked without replacement from eeppepeppe. What is prob of picking 4 e? 1/42 Calculate prob of picking 1 t and 3 u when four letters picked without replacement from ututuuuuuuuu. 16/33 Two letters picked without replacement from {n: 6, d: 3, p: 4, l: 1, b: 1}. Give prob of picking 1 d and 1 l. 1/35 Three letters picked without replacement from {j: 2, v: 9, e: 2}. What is prob of picking 1 e and 2 j? 1/143 What is prob of picking 3 w when three letters picked without replacement from {h: 2, w: 4}? 1/5 Two letters picked without replacement from {d: 6, x: 3, w: 2, m: 2, u: 2, i: 2}. What is prob of picking 1 u and 1 m? 1/34 Two letters picked without replacement from mtrmzzrjrjzzt. Give prob of picking 2 t. 1/78 What is prob of picking 1 l and 1 t when two letters picked without replacement from {l: 1, t: 12}? 2/13 Calculate prob of picking 2 h when two letters picked without replacement from {h: 2, y: 1}. 1/3 Three letters picked without replacement from jmmpvmjttjvmivvtttvt. What is prob of picking 2 v and 1 t? 1/19 What is prob of picking 3 g when three letters picked without replacement from {i: 2, g: 8}? 7/15 What is prob of picking 2 g and 1 q when three letters picked without replacement from qgq? 0 Two letters picked without replacement from ivavaiviahivv. Give prob of picking 2 v. 5/39 What is prob of picking 1 g and 2 d when three letters picked without replacement from gddggddd? 15/28 Four letters picked without replacement from cyycyc. Give prob of picking 1 c and 3 y. 1/5 Two letters picked without replacement from {z: 4, i: 1, n: 9, f: 1, w: 1, g: 1}. Give prob of picking 1 f and 1 w. 1/136 Three letters picked without replacement from kxkks. What is prob of picking 2 k and 1 s? 3/10 What is prob of picking 3 a when three letters picked without replacement from ncaaxazznafaxaa? 1/13 Three letters picked without replacement from {q: 1, i: 3, e: 7, x: 2, g: 1, y: 3}. Give prob of picking 2 x and 1 i. 3/680 Calculate prob of picking 2 r when two letters picked without replacement from {r: 4, i: 15}. 2/57 Two letters picked without replacement from qsqqeeqqe. Give prob of picking 1 e and 1 s. 1/12 What is prob of picking 1 m and 3 a when four letters picked without replacement from mcacmmtamattcmmttt? 1/510 Two letters picked without replacement from {c: 1, b: 2, x: 4}. What is prob of picking 1 b and 1 x? 8/21 Three letters picked without replacement from {x: 3, z: 11}. Give prob of picking 3 x. 1/364 Four letters picked without replacement from sdmsssssdum. Give prob of picking 2 s and 2 m. 1/22 What is prob of picking 2 s when two letters picked without replacement from srtrrwsrxwrrw? 1/78 Three letters picked without replacement from tqccyttcqtttyyt. Give prob of picking 1 c, 1 t, and 1 y. 9/65 What is prob of picking 1 q, 1 v, and 2 y when four letters picked without replacement from vlylylqqlqyeqlllehlq? 1/323 Calculate prob of picking 1 p and 1 l when two letters picked without replacement from {p: 4, l: 3}. 4/7 Calculate prob of picking 1 s and 2 p when three letters picked without replacement from {s: 2, j: 3, o: 4, p: 2}. 2/165 Two letters picked without replacement from qkqqkqqqqqqqqqqkqkqk. Give prob of picking 2 k. 1/19 Calculate prob of picking 3 e when three letters picked without replacement from memmmdedmimmdmmdmme. 1/969 Four letters picked without replacement from {p: 2, i: 1, v: 4, g: 1, l: 3}. What is prob of picking 1 p and 3 v? 4/165 Four letters picked without replacement from {j: 1, m: 7, i: 6}. What is prob of picking 4 m? 5/143 Calculate prob of picking 1 a, 1 n, and 2 g when four letters picked without replacement from {r: 1, v: 1, n: 4, o: 2, a: 1, g: 6}. 4/91 Three letters picked without replacement from {m: 2, w: 1, i: 2, p: 9}. What is prob of picking 1 i and 2 p? 18/91 What is prob of picking 3 j when three letters picked without replacement from {m: 1, j: 5, u: 3}? 5/42 Calculate prob of picking 2 z and 2 a when four letters picked without replacement from {a: 10, z: 2}. 1/11 Calculate prob of picking 1 c and 1 e when two letters picked without replacement from cecceeaee. 5/12 Two letters picked without replacement from ggv. What is prob of picking 1 v and 1 g? 2/3 What is prob of picking 3 n and 1 y when four letters picked without replacement from {y: 5, n: 2}? 0 Calculate prob of picking 2 v when two letters picked without replacement from ffffevfffhffvhvqhh. 1/51 What is prob of picking 2 y when two letters picked without replacement from yyyy? 1 Four letters picked without replacement from uzzfzzlfzzflu. Give prob of picking 1 u, 1 z, and 2 f. 36/715 Calculate prob of picking 1 b, 2 e, and 1 l when four letters picked without replacement from {h: 1, b: 3, o: 5, e: 2, l: 1}. 1/165 Calculate prob of picking 1 f and 2 o when three letters picked without replacement from oofd. 1/4 Two letters picked without replacement from {k: 1, c: 2, n: 2, s: 1, m: 2, w: 4}. What is prob of picking 1 s and 1 m? 1/33 What is prob of picking 2 i when two letters picked without replacement from iii? 1 Calculate prob of picking 1 e, 1 v, and 1 m when three letters picked without replacement from zzpvpepmp. 1/84 What is prob of picking 2 s, 1 d, and 1 h when four letters picked without replacement from {i: 2, x: 4, s: 2, d: 1, h: 1}? 1/210 Three letters picked without replacement from laljljlkjlm. Give prob of picking 1 m, 1 j, and 1 a. 1/55 Two letters picked without replacement from {o: 2, j: 8, y: 3, s: 3}. Give prob of picking 1 y and 1 s. 3/40 What is prob of picking 3 q when three letters picked without replacement from {e: 2, q: 3}? 1/10 Calculate prob of picking 2 z when two letters picked without replacement from {i: 2, z: 1, g: 1, l: 1, m: 1, d: 1}. 0 Two letters picked without replacement from {t: 3, e: 2, u: 2, n: 2}. Give prob of picking 1 u and 1 n. 1/9 Calculate prob of picking 3 x and 1 r when four letters picked without replacement from {u: 6, k: 6, n: 1, g: 1, r: 1, x: 3}
{ "pile_set_name": "DM Mathematics" }
5*k**4 - 485*k**3 - 810*k**2 - 360*k = 0. -12, -1, -6/7, 0 Let 3*y**2 + 12*y - 135 = 0. What is y? -9, 5 Factor -4*l**4 - 24*l**3 + 12*l**2 + 64*l - 48. -4*(l - 1)**2*(l + 2)*(l + 6) Let -6*o**3 + 2129*o**2 + 3561*o + 1426 = 0. What is o? -1, -2/3, 713/2 Solve 13*s**2/2 + 401*s/2 - 31 = 0 for s. -31, 2/13 Find p such that 4*p**2 - 40*p - 684 = 0. -9, 19 Factor v**3 - 12*v**2 - 73*v + 420. (v - 15)*(v - 4)*(v + 7) Factor -2*x**2/11 - 40*x/11 + 42/11. -2*(x - 1)*(x + 21)/11 Factor -8*i**2 - 11078*i + 2770. -2*(i + 1385)*(4*i - 1) Suppose -2*v**5 + 12*v**4 - 22*v**3 + 12*v**2 = 0. What is v? 0, 1, 2, 3 What is a in -5*a**4 + 720*a**3 - 38880*a**2 + 933120*a - 8398080 = 0? 36 Factor 4*c**4 - 40*c**3 - 348*c**2 - 576*c. 4*c*(c - 16)*(c + 3)**2 Suppose 21*z**3 - 849*z**2 + 8760*z - 3600 = 0. Calculate z. 3/7, 20 Solve j**5/7 + 16*j**4/7 - 54*j**3/7 + 8*j**2 - 19*j/7 = 0 for j. -19, 0, 1 Find t, given that 2*t**2/11 + 3456*t/11 + 1492992/11 = 0. -864 Factor -z**2/5 + 4033*z/5. -z*(z - 4033)/5 Factor 10*m**2 + 105*m + 50. 5*(m + 10)*(2*m + 1) Determine x, given that x**2 + 83*x - 1248 = 0. -96, 13 Solve 5*c**2 + 370*c - 375 = 0 for c. -75, 1 Let 8*n**5/7 - 104*n**4/7 + 234*n**3/7 + 76*n**2/7 - 22*n - 60/7 = 0. Calculate n. -1/2, 1, 3, 10 Factor 8*k**2 - 332*k + 164. 4*(k - 41)*(2*k - 1) What is d in 3*d**4/7 + 45*d**3/7 + 18*d**2 - 276*d/7 - 360/7 = 0? -10, -6, -1, 2 Find f such that 5*f**4/2 + 75*f**3/2 + 110*f**2 = 0. -11, -4, 0 Let p**5/5 + 12*p**4/5 - 64*p**3/5 + 16*p**2/5 + 48*p - 256/5 = 0. Calculate p. -16, -2, 2 Factor l**4/10 - l**3/2 + 9*l**2/10 - 7*l/10 + 1/5. (l - 2)*(l - 1)**3/10 Factor -a**2 + a + 56. -(a - 8)*(a + 7) Factor -4*b**3/9 - 2*b**2/9 + 50*b/9 - 8/3. -2*(b - 3)*(b + 4)*(2*b - 1)/9 Solve -4*p**4 - 14*p**3/3 + 68*p**2/9 + 14*p/9 - 4/9 = 0. -2, -1/3, 1/6, 1 Factor 2*u**3/7 - 220*u**2/7 + 856*u/7 - 848/7. 2*(u - 106)*(u - 2)**2/7 Suppose 2*f**2/7 + 94*f/7 = 0. What is f? -47, 0 Find s, given that -s**2/2 + 1839*s - 3381921/2 = 0. 1839 Find w such that -3*w**5 - 120*w**4 + 519*w**3 - 396*w**2 = 0. -44, 0, 1, 3 Factor -492032*o**2 + 5952*o - 18. -2*(496*o - 3)**2 Factor i**3 - 3*i**2 - 46*i + 48. (i - 8)*(i - 1)*(i + 6) Factor -6*p**3 + 897*p**2 - 444*p - 447. -3*(p - 149)*(p - 1)*(2*p + 1) Determine j, given that j**3/4 - 7*j**2/2 - j + 14 = 0. -2, 2, 14 Factor -6*b**3 + 2642*b**2 + 1766*b - 882. -2*(b - 441)*(b + 1)*(3*b - 1) Factor 2*s**4/7 + 2*s**3/7 - 12*s**2/7. 2*s**2*(s - 2)*(s + 3)/7 Find o such that o**3/5 + 53*o**2/5 - 56*o/5 - 108/5 = 0. -54, -1, 2 Factor 2*k**3/15 + 92*k**2/15 - 38*k/3 + 32/5. 2*(k - 1)**2*(k + 48)/15 Let 2*y**3 - 26*y**2 + 78*y - 54 = 0. Calculate y. 1, 3, 9 Factor 2*g**5/5 + 14*g**4/5 + 36*g**3/5 + 8*g**2 + 16*g/5. 2*g*(g + 1)*(g + 2)**3/5 Find o, given that -12*o**5 - 177*o**4/5 + 249*o**3/5 - 12*o**2/5 = 0. -4, 0, 1/20, 1 Solve 4*g**3 + 492*g**2 + 2844*g + 4212 = 0. -117, -3 Let 2*v**3 + 168*v**2 + 3528*v = 0. Calculate v. -42, 0 Suppose 2*q**4 + 16*q**3 + 44*q**2 + 48*q + 18 = 0. Calculate q. -3, -1 Find i such that 3*i**2/7 - 30264*i/7 + 76325808/7 = 0. 5044 Factor -4*y**4 + 88*y**3 - 608*y**2 + 1664*y - 1536. -4*(y - 12)*(y - 4)**2*(y - 2) Determine m so that -3*m**5 + 18*m**4 - 24*m**3 - 18*m**2 + 27*m = 0. -1, 0, 1, 3 What is h in -h**4/8 - h**3/8 + 3*h**2/2 - h/2 - 2 = 0? -4, -1, 2 Factor -x**3/4 + 105*x**2/4 + 53*x/2. -x*(x - 106)*(x + 1)/4 Factor u**2/9 - 1930*u/3 + 931225. (u - 2895)**2/9 Find h such that 14*h**3/5 + 10*h**2 + 32*h/5 - 24/5 = 0. -2, 3/7 Factor 4*x**2 - 104*x + 100. 4*(x - 25)*(x - 1) Let -8*c**4 + 1436*c**3 - 64076*c**2 - 33120*c + 32400 = 0. What is c? -1, 1/2, 90 Determine n, given that -3*n**2/7 - 54594*n/7 - 248375403/7 = 0. -9099 Factor 3*m**2 + 75*m + 450. 3*(m + 10)*(m + 15) Determine w, given that -3*w**3 - 51*w**2 - 240*w - 192 = 0. -8, -1 Solve i**5/6 - 31*i**4/6 - 73*i**3/6 + 211*i**2/6 + 108*i + 66 = 0. -2, -1, 3, 33 What is b in -14*b**2/3 + 29*b/3 - 2/3 = 0? 1/14, 2 Find i, given that -35*i**3 + 1130*i**2 - 2420*i + 600 = 0. 2/7, 2, 30 Let -3*c**5/7 - 6*c**4/7 + 6*c**2/7 + 3*c/7 = 0. What is c? -1, 0, 1 Solve 3*v**2/8 - 21*v/8 = 0 for v. 0, 7 Suppose -2*q**4/5 + 12*q**3 - 194*q**2/5 - 384*q/5 + 104 = 0. What is q? -2, 1, 5, 26 Determine u, given that -3*u**2 - 36*u - 105 = 0. -7, -5 Find j such that 4*j**2/5 - 28*j - 160 = 0. -5, 40 Solve 3*q**5 - 54*q**4 + 249*q**3 - 102*q**2 - 1152*q + 1056 = 0. -2, 1, 4, 11 Determine a, given that -8*a**5/7 + 106*a**4/7 + 430*a**3/7 - 626*a**2/7 - 422*a/7 + 520/7 = 0. -4, -1, 1, 65/4 Let -3*u**3/2 - 12*u**2 - 33*u/2 + 30 = 0. What is u? -5, -4, 1 Factor -2*o**4/7 + 24*o**2/7 + 32*o/7. -2*o*(o - 4)*(o + 2)**2/7 Determine d so that 2*d**3/11 - 34*d**2/11 - 130*d/11 + 3042/11 = 0. -9, 13 Solve -42*c**3/5 - 10012*c**2/5 - 760*c + 1904/5 = 0. -238, -2/3, 2/7 Determine f so that -5*f**4/4 - 7*f**3/2 + 35*f**2/4 + 11*f = 0. -4, -1, 0, 11/5 Suppose 12*z**5 - 80*z**4 + 140*z**3 - 40*z**2 - 32*z = 0. Calculate z. -1/3, 0, 1, 2, 4 Factor 2*j**4 + 48*j**3 + 178*j**2 - 228*j. 2*j*(j - 1)*(j + 6)*(j + 19) Find z such that -5*z**3 + 15*z + 10 = 0. -1, 2 Let -25*g**5 + 240*g**4 + 675*g**3 + 530*g**2 + 120*g = 0. Calculate g. -1, -2/5, 0, 12 Find q, given that -6*q**5 + 8*q**4 + 4*q**3 - 8*q**2 + 2*q = 0. -1, 0, 1/3, 1 Factor -x**4/3 - 5*x**3/3 + 22*x**2/3 - 16*x/3. -x*(x - 2)*(x - 1)*(x + 8)/3 Factor 4*g**4 - 3260*g**3 - 9804*g**2 - 9812*g - 3272. 4*(g - 818)*(g + 1)**3 Factor -t**4 - 8*t**3 + 3*t**2 + 22*t - 16. -(t - 1)**2*(t + 2)*(t + 8) Suppose -5*w**4 - 10*w**3 + 100*w**2 - 120*w = 0. What is w? -6, 0, 2 Solve 12*h**3 + 27*h**2 + 18*h + 3 = 0. -1, -1/4 Let -r**2/4 - r + 21/4 = 0. What is r? -7, 3 Factor -3*j**2 - 1566*j - 3120. -3*(j + 2)*(j + 520) Solve 2*q**4 - 20*q**3 + 26*q**2 + 120*q + 72 = 0 for q. -1, 6 Determine w so that -w**4 - 21*w**3 - 120*w**2 - 100*w = 0. -10, -1, 0 Solve k**2 - 16*k + 15 = 0. 1, 15 Suppose 2*x**4/13 + 124*x**3/13 + 242*x**2/13 + 120*x/13 = 0. Calculate x. -60, -1, 0 Determine c so that -2*c**2 + 2 = 0. -1, 1 What is k in 2*k**3 + 248*k**2 - 502*k + 252 = 0? -126, 1 Factor k**2/8 + 1787*k/4 + 3193369/8. (k + 1787)**2/8 Suppose -o**5 - 170*o**4 - 7392*o**3 - 14112*o**2 = 0. What is o? -84, -2, 0 Find k such that 3*k**2/2 - 336*k = 0. 0, 224 Let -2*r**2 + 88*r/5 + 18/5 = 0. Calculate r. -1/5, 9 Solve -51*w**2/7 + 9*w - 12/7 = 0 for w. 4/17, 1 Find r such that 295*r**2 - 285*r - 10 = 0. -2/59, 1 Determine i so that 2*i**2/11 + 258*i/11 + 1000/11 = 0. -125, -4 Solve -75*m**4 + 4245*m**3 + 1722*m**2 - 3396*m/5 - 1368/5 = 0. -2/5, 2/5, 57 Let -11*a**3 + 70*a**2 + 53*a - 28 = 0. Calculate a. -1, 4/11, 7 Factor -f**3 + 21*f**2 - 23*f - 285. -(f - 19)*(f - 5)*(f + 3) Let 4*q**4 - 2256*q**3 + 424128*q**2 - 26578688*q = 0. What is q? 0, 188 Factor l**3/3 + 2*l**2 + 11*l/3 + 2. (l + 1)*(l + 2)*(l + 3)/3 Suppose -x**5 - x**4 + 33*x**3 + 41*x**2 - 232*x - 240 = 0. Calculate x. -4, -1, 3, 5 Factor -3*l**4/2 + 792*l**3 - 103749*l**2 - 209880*l - 210675/2. -3*(l - 265)**2*(l + 1)**2/2 Factor -l**5/2 - 5*l**4/2 - 3*l**3 + l**2 + 7*l/2 + 3/2. -(l - 1)*(l + 1)**3*(l + 3)/2 What is y in 3*y**2/4 - 21*y/2 + 18 = 0? 2, 12 Determine t so that -3*t**2/7 + 348*t/7 - 1017/7 = 0. 3, 113 Find o such that 4*o**5/3 - 108*o**4 + 628*o**3/3 + 108*o**2 - 632*o/3 = 0. -1, 0, 1, 2, 79 Solve -6*o**3 - 28*o**2 - 34*o - 12 = 0. -3, -1, -2/3 Factor 5*z**4 - 60*z**3 + 110*z**2 + 420*z + 245. 5*(z - 7)**2*(z + 1)**2 Factor -8*b**4/7 + 4*b**3 - 36*b**2/7 + 20*b/7 - 4/7. -4*(b - 1)**3*(2*b - 1)/7 Suppose 6*w**3/7 + 24*w**2/7 + 6*w/7 - 36/7 = 0. Calculate w. -3, -2, 1 Solve -2*i**2/9 - 2584*i/9 - 834632/9 = 0 for i. -646 Solve -2*g**2/11 + 334*g/11 - 1304/11 = 0. 4, 163 Let p**2/6 - 485*p/3 - 324 = 0. What is p? -2, 972 Factor g**4/6 + 15*g**3 + 567*g**2/2 - 2736*g - 10368. (g - 9)*(g + 3)*(g + 48)**2/6 Factor -d**3/4 - 2*d**2 - 17*d/4 - 5/2. -(d + 1)*(d + 2)*(d + 5)/4 Factor -3*c**2/5 - 846*c/5 - 59643/5. -3*(c + 141)**2/5 Solve -d**4 - 2*d**3 + d**2 + 2*d = 0. -2, -1, 0, 1 Factor 5*u**4 - 40*u**3 + 110*u**2 - 120*u + 45. 5*(u - 3)**2*(u - 1)**2 Factor -4*j**3 + 458*j**2 - 680*j + 226. -2*(j - 113)*(j - 1)*(2*j - 1) Factor -2*v**3/11 + 6*v**2/11 - 4*v/11. -2*v*(v - 2)*(v - 1)/11 Factor 2*t**3/9 + 10*t**2/9 + 4*t/9 - 16/9. 2*(t - 1)*(t + 2)*(t
{ "pile_set_name": "DM Mathematics" }
t b(w) = -w + 6. Let j be b(6). Suppose j = -s - 0*s + 12. Suppose m = -4*q + s, m - 7 + 4 = -q. Solve -2*p = -5*p + q for p. 1 Let r = 246 - 309. Let k = 65 + r. Solve -q - 7 = -k for q. -5 Suppose -3*r + 2*j = -50, 4*r - 5*j = 73 - 18. Suppose r*h + 9*h - 116 = 0. Solve 24*c - 28*c = -h for c. 1 Let m(r) = 10*r**2 + r - 13*r + r**3 + 3 + 36*r. Let j be m(-6). Solve -3 - 6 = j*a for a. -3 Let l be (9/36 + 1/4)*0. Suppose 4*g - 46 = -2*z, -g = -l*g + 4*z + 6. Solve 0 = g*t - 13*t for t. 0 Let d = -77 + 136. Suppose 6*g = 83 - d. Solve -g*q - 12 + 0 = 0 for q. -3 Let m(o) = o**3 - 11*o**2 - 13*o + 20. Let w be m(12). Let i be (4 + -2 + 1)/(6/w). Let t be ((-2)/4)/(1/(-16)). Solve i*r + 0 = t for r. 2 Let f(s) = 145*s**2 + 3*s - 1. Let u be f(1). Let l be u/28 + (-2)/8. Suppose 4*a = -a + l. Solve -3 = j - a for j. -2 Let u be (-3268)/86*6/(-57). Solve 24*h - 26*h + u = 0 for h. 2 Let r = 30 - 25. Suppose 211 = -5*f + r*v - 204, -2*f + v = 168. Let b = f - -91. Solve 0*a + b = -2*a for a. -3 Suppose 6*n = -5*z + 5*n - 37, 5*n - 4 = 2*z. Let l(m) be the third derivative of m**5/60 + m**4/3 + 5*m**3/3 - m**2. Let p be l(z). Solve q - 8 = -p*q for q. 2 Let f(w) = 113*w + 39. Let d be f(-2). Let l = -184 - d. Solve 0 = 4*o - l*o for o. 0 Let a(s) = 3*s**3 + 10*s**2 - 10*s - 1. Let f(t) = -5*t**3 - 19*t**2 + 19*t + 3. Let j(u) = -7*a(u) - 4*f(u). Let r be j(4). Solve -8*d + r = -13 for d. 2 Suppose -3*r - 5*w - 4 = 26, 2*r - 5*w = 5. Let b be (3 + -5 - r) + (-1 - -1). Suppose 0 = -0*k + k - 16. Solve -7*y - k = -b*y for y. -4 Suppose 0 = -4*m - 3*o + 4 - 3, 5*m + 13 = o. Let d be 85*(m + (-8)/(-20) - -2). Suppose -29*l + d*l = 35. Solve -l + 2 = -5*u for u. 1 Suppose 4*b - c - 40 = 0, 5*c + 10 = b - 0. Suppose 0*u = -2*u - b. Let i(o) = o**3 + 6*o**2 + 6*o + 9. Let q be i(u). Solve 0*x = -4*x + q for x. 1 Suppose 3*q - 28 + 1 = -3*s, 5*q + 4*s = 47. Suppose q*r - 13*r - 8 = 0. Let n be r + ((-2)/(-2) - -4). Solve 3*j - 4*j = -n for j. 1 Let g be (-158 - 16)/((-24)/28). Solve -5*m + g = 183 for m. 4 Suppose -4*i + b - 10 = -i, -4*b = -5*i - 12. Let j = i + 25. Let n be (6/4)/(j/28). Solve -3*d = -n*d + 4 for d. -4 Suppose 2*p - 54 = 14. Let v = 5192 - 5159. Suppose -p*g + 3 = -v*g. Solve s = g*s for s. 0 Let y = 554 + -506. Solve y*o - 76 = 67*o for o. -4 Suppose 4*n = -4*j + 268, 4*j + 2*n = -77 + 345. Suppose 4*w = p + j, 11 = 2*w - 12*p + 7*p. Solve 24*a - 30 = w*a for a. 5 Suppose -6*v + 20 = -3*v + 4*j, 2*v + 4*j - 20 = 0. Suppose -5*z = w - v - 11, -w = -4*z - 2. Solve -w*a = -7*a for a. 0 Suppose 21 = w - 89*h + 93*h, 4*w = -3*h + 19. Let o(s) = -s**2 + 6*s + 9. Let n be o(7). Suppose -w = -n*k + 3. Solve 0 = -0*p + k*p - 2 for p. 1 Suppose -4*l + 20*d = -3*l + 53, l + 2 = 3*d. Solve -l*b + 17 - 10 = 0 for b. 1 Let c(q) = -2*q**2 - 3. Let f be c(13). Let a = 351 + f. Solve 7*z - a = 2*z for z. 2 Let i(v) = v**2 - 16*v + 14. Let p be i(19). Let t = 77 - p. Solve -5 = t*x + 13 for x. -3 Let y be 10/4*(-5 + -1) - -3. Let f be 183/(-7) - y/84. Let q = f - -37. Solve 3*h + q = -1 for h. -4 Suppose -136 = -34*j + 30*j. Let m = j - 34. Suppose -p - 5*p = m. Solve -i + p*i = -2 for i. 2 Suppose 3*i + 5*b - 25 = 0, 3*i + 5 - 28 = -4*b. Suppose -3*y - 4*z + 26 = -6, -i*z + 21 = -y. Solve -8*a + 16 = -y*a for a. 4 Let s(v) = -3*v - 20. Let d = -1 - 5. Let z be s(d). Let q be 1 + z + (-2 - 1)/(-1). Solve -q*m = m - 15 for m. 5 Let j(c) = c**2 - 12*c + 46. Let w be j(7). Suppose -w*g - g = -72. Solve 28 = -g*z - z for z. -4 Suppose -2*f - 47 = k - 130, 5*f - 176 = 2*k. Solve -30*u + 49*u + f = 0 for u. -2 Suppose -3*q = m - 10, 5*q - 6 = 2*q. Suppose 0*y - m*y - 4*j = -4, 2*j = y - 10. Solve 0 = -y*a - 0*a for a. 0 Suppose 207*x - 2795 - 2794 = 0. Solve 15*g - x*g = 24 for g. -2 Suppose 0 = 4*f + f + 2*y + 10, 3*f = -y - 5. Let c = 1746 + -1741. Suppose f = -2*d + c + 3. Solve d - 19 = 5*q for q. -3 Suppose 4*v + 289*t - 274 = 287*t, -5 = t. Solve -v*y + 42*y - 174 = 0 for y. -6 Suppose -16*t = -374 + 166. Solve 10*w + t = 3 for w. -1 Let k be (-68)/(10/(-135) + (-4 - 6/(-81))). Solve k = -10*a + 57 for a. 4 Suppose 2*u - 4*p = 48, -9*u + 2*p = -7*u - 36. Solve -55*s + 43*s = u for s. -1 Let s(b) = 7*b**3 + 4*b + 14. Let v be s(-3). Let y = 198 + v. Solve -y - 3 = -7*i for i. 2 Suppose -147*z + 10970 + 173319 + 13279 = 0. Solve 4*t + 1324 = z for t. 5 Let j(y) = -y**3 - 3*y**2 + 4. Let c be j(-3). Suppose -c = -19*g + 17*g. Solve g*v = -v for v. 0 Let n(w) be the second derivative of -w**3/2 + 24*w**2 - 24*w + 2. Let u be n(15). Solve -u*b - 8 - 4 = 0 for b. -4 Suppose -19 = -6*h + 47. Suppose h*z - 4*z - 70 = 0. Solve 5 = x + z for x. -5 Suppose 53*y - 2855 = -537 + 1922. Solve 22*k = -52 - y for k. -6 Let j = -8737 + 8780. Suppose 2*r = 7*r - 15. Solve r*p - 34 = -j for p. -3 Let k = 80 + -72. Suppose -5*g = k*g - 26. Solve 0 = -g*b + 4*b - 6 for b. 3 Suppose -4*b - 132 = -5*n, 3*b + 15704 = 15695. Let d = -7 - -13. Solve n = -0*s - d*s for s. -4 Let v(k) = k**3 - 4*k**2 + 6. Let o be v(4). Solve -4*q = -4*q - o*q for q. 0 Let v = 12 + -21. Let u = -2 - v. Let x = 964 + -960. Solve u*r = x*r - 9 for r. -3 Suppose p - 4*d = -0 + 14, 0 = 2*p + d - 1. Suppose 2*b + 3*b - 48 = -p*v, 0 = -4*v - 4. Solve 5*f = -0 + b for f. 2 Let n(s) = -s**3 + 4*s**2 + 19*s - 26. Let t be n(6). Suppose 0 = -3*u + 14 + t. Solve -6*h + 4 = -u*h for h. -1 Let z(b) = -32*b + 1017. Let h be z(29). Solve 4 = -91*v + h*v for v. -2 Let n be 32*(33/(-165))/((-4)/10). Solve -n*c + 15 = 31 for c. -1 Let v be 305*1/(-3) - 28/84. Let l = -95 - v. Solve -l*f + 20 = -15 for f. 5 Let o be (-15)/(-150)*20*(-2)/4 + 17. Let n be 3*4/(-6) - -7. Solve 0 = n*i - 9 - o for i. 5 Suppose -7 = 4*i - 15. Let x be (5 - 1)/(4/66). Suppose 4*h + 7*h = x. Solve -h + i = -2*u for u. 2 Let t = 530 + -517. Suppose -t*j - 5*b - 4 = -10*j, -5*j + 60 = -5*b. Solve -3*i + 19 = j for i. 4 Let f be (-768)/2688 + 72/(-21)*33/(-4). Solve -45*d + f = -52*d for d. -4 Let g = 2727 - 2714. Solve 10*v + g*v + 92 = 0 for v. -4 Let x be (6/(-24)*-46)/(-7*11/(-154)). Solve 21*a + x + 19 = 0 for a. -2 Suppose -15 = 3*g, -3*g = -2*y - 27 - 24. Let k = -15 - y. Solve -6*i - 6 = -k for i. 2 Suppose 6*i - 2131 = -1999. Suppose -i*m - 5 = -21*m, 5*a + 4*m = -5. Solve 0 = -5*h - a*h + 24 for h. 3 Let k be -22 - -30 - (-4 - 1). Let y be -1 - ((-8)/(-6) - k/3). Solve -3*n + 13 + y = 0 for n. 5 Let u(o) = -o**2 + 27*o + 67. Let r(q) = 3*q**2 - 80*q - 201. Let v(w) = 2*r(w) + 7*u(w). Let s be v(31). Solve 0 = -2*d + s*d - 12 for d. 4 Let m be -4*6/(-9)*-3. Let i = m + 8. Let r = 141 - 141. Solve i = -r*s - 3*s - 12 for s. -4 Let l(a) = -a**2 - 13*a - 33. Let k be l(-5). Suppose -o = -5*f - k - 21, f = o - 8. Solve o*g - 20 = -g for g. 5 Suppose -2*l - 2*w - 6 = 0, 0 = -0*w - 2*w - 10. Suppose 2*c - 12 = -l*m, -m + 14 = -0*c + 3*c. Solve -3*h - m = -11 for h. 3 Let o be 16*7/224 - 5/(-2). Let c(b) = -b - 1. Let f be c(-5). Solve 0 = f*p + o*p - 7 for p. 1 Let w(s) = s**2 + s - 28. Let n be w(6). Suppose 3*l + 6 = m, -9*m - l = -4*m - n. Suppose -2*t + 26 = -5*z, 4*t + z + 4 = -m*z. Solve t*f + 2 = -4 for f. -2 Suppose 394*y + 4*q = 398*y - 2332, 4*q + 1160 = 2*y. Solve 15 = -y*m + 581*m for m. -3 Let z(i) = i**3 - 4*i**2 - 6*i + 5. Suppose -2*v + 9 = 3. Suppose -5*m = v - 28. Let f be z(m). Solve f*p + p = 0 for p. 0 Suppose -3332 = -278*v + 1821 + 963. Solve 21*y - v = -1 for y. 1 Suppose z - 7 = -4*s, 5*z - 20 = 2*s - 7*s. Let l(v) = -v**2 + 13*v - 9. Let q be l(12). Suppose -q*k = -4*k + 2. Solve k*x + z*x = 20 for x. 4 Let o be (0 + -1)*(-2 + 5). Let q = 4 + o. Let u = 20746 + -20735. Solve q - u = -2*k for k. 5 Suppose -6*v = -8*v + 10. Suppose 0*n + 6 = n + 2*j, 0 = v*n + 4*j - 12. Suppose 4*k - k + 2*w = 17, 4*w - 4 = 0. Solve -k*t + 7 - 2 = n for t. 1 Suppose 3*w + 834 = 5*d, 8*d - 3*d - 837 = 4*w. Let b be (-395)/d*-3 - (-4)/(-22). Suppose -f + b = 5. Solve f*i = -15 + 5 for i. -5 Let z(f) = -f**3 - 12*f**2 - 19*f + 4. Let g be z(-10). Let q be (g/36*2)/(1/(-9)). Let v be (-20)/(-3)*(-4 + 10 - q). Solve -v + 8 = 3*x for x. -4 Let r = -2821 + 2829. Solve 0 = -8*p + 4*p - r for p. -2 Let u = -14845 - -15617. Solve 775*b + 21 = u*b for b. -7 Let c = -4018 + 4025. Solve -28*k = c*k + 140 for k. -4 Suppose -u - 8*y - 13 = 0, -19
{ "pile_set_name": "DM Mathematics" }
4*h - 6 for z. 1 Let j = -27 + 37. Suppose 11*i - j*i - 5 = 0. Let t(n) = n**3 - 4*n**2 - 5*n - 1. Let y be t(6). Solve -3*a + 2*w - 5 = 0, 1 = 3*a + i*w + y for a. -5 Suppose 5*h + 0*h = 10. Let c be (-5)/(6/4 - h). Let l(q) = q**2 - 9*q - 6. Let d be l(c). Solve 0 = k + m - 3, d*m = 4*k + 2 + 2 for k. 1 Let q = -2 - -4. Let u = 1 + q. Suppose y = -y + 2. Solve 0 = t + y, -t = u*n - n - 7 for n. 4 Let c be -2 - (-6)/(-3)*-4. Solve 4*m + 4*s - 16 = 2*m, -2*m - 2*s = -c for m. -2 Let v(y) = y**2 + y + 25. Let x be v(0). Let q = 36 - x. Solve -3*r - 2*r = -3*t + q, -3*t = -2*r - 8 for t. 2 Let h(m) = -m**2 - 8*m. Let v be h(-6). Suppose 0*g = 4*g - v. Solve -g*f = -q - q + 5, -q - 2*f = 1 for q. 1 Let b be -1 - (-3 - (-8)/4). Suppose -3*s + 9 = -2*m - 8, -m - 1 = b. Let z(g) = -3*g - 8. Let v be z(-6). Solve -v = 5*h - 0*j + s*j, j = h - 6 for h. 2 Let h(b) = -b + 5. Let d be h(11). Let g = d - -6. Solve 3*v - 5*s = 5, s + g*s + 29 = -5*v for v. -5 Suppose g + 37 = -s - 2*s, -4*g = -2*s - 34. Let l be (18/4)/((-2)/(-8)). Let n = s + l. Solve 4*z = -w, 4*z + 17 = -4*w + n for w. -4 Suppose -2*i + 4*i = -2*c + 12, 0 = -i + 4*c - 19. Let n(m) = i + 0 + 5 - m. Let z be n(4). Solve 13 = 5*k + z*h, h = -5*k + 3 + 6 for k. 1 Suppose 3*y - 102 = 2*r, 0*y + 3*r = -y + 45. Suppose 2*i + 3*i - 8 = -3*h, -3*i - y = -5*h. Solve -u + h = -4*g - 5, 5*g = 4*u for u. -5 Suppose 3*q - 22 = -2*z, 0 = 3*z - 0*z - 4*q - 16. Let v(y) = -y**2 + 9*y - 4. Let s be v(z). Solve k - 7 + 2 = 0, -s*k + 45 = 5*g for g. 5 Suppose 76 = -2*a + 6*a. Let d = a - 14. Let k(x) = -4*x**3 - x - 1. Let i be k(-1). Solve -i - 1 = -5*v + d*c, -3*c = -4*v for v. -3 Let n be (-1)/(1 + 9/(-6)). Suppose -3*v = -v - n. Let l be 0 - (2*-1 + 0). Solve 4*s + b = -16, -v = -5*s + l*b - 8 for s. -3 Let f(d) = d**2 + 3*d + 2. Let m be f(-3). Suppose 2*y - 6 = -0*y. Solve 0*s - y*s + h = 12, h + 3 = -m*s for s. -3 Let g be (-4)/(-6)*-3 + 7. Let s be 0*(-1)/(-4)*-2. Suppose s*o - g = -o. Solve -5*x = -v - 0*v - 4, o*v - 3 = 2*x for v. 1 Let s(r) = -r**3 + 10*r**2 - 2. Let l be s(10). Let g be (l/5)/(2/(-30)). Solve q = 4*h - g*h - 3, -3*q = -4*h - 11 for h. -2 Suppose 11 - 31 = -5*y. Solve 3*u + 5*w - y = -u, -5*u + 3*w = 32 for u. -4 Let m be 2/((-3)/(-4) + -1). Let o = -2 - m. Suppose 3*z - 5 = 7. Solve 10 = -2*v, -3*q - o*v = -z*v + 7 for q. 1 Let k = 7 - -1. Suppose 5*q - 18 = -5*n + 17, k = 4*q. Solve m = -0*m + n*g + 4, 3*m = -4*g - 7 for m. -1 Suppose 5*c = -h + 14, 0*c = 3*h + 4*c - 20. Suppose -15 = -5*q + h*q. Suppose -4*k + 5 = -q. Solve -k*x = -0*x - 5*d - 5, 2*x + d = 2 for x. 1 Suppose 25 = 2*u + 3*u. Suppose s + 15 = 3*r, -2*r - s - s + 10 = 0. Suppose p = 4*l - 4 - r, -3*p = -l - 6. Solve -1 = -z - l*x - u, 0 = 3*z + 3*x for z. 2 Let f(q) = 1 - q**2 - 2 + 15*q**3 + 2*q**2. Let j be f(1). Suppose -2*b + 1 = -j. Solve 3*s + y = -2*s - 2, -4*y - b = 0 for s. 0 Let s = 19 + -19. Solve 3*m - 4*v - 6 = 0, 5*m + s = 4*v + 2 for m. -2 Let z(d) = d**3 - 18. Let y be z(0). Let b be 6/y*12/(-2). Let t = 54 + -32. Solve 3*s + s - h = t, b*h - 1 = -s for s. 5 Let m(z) = 2*z**3 - 94*z**2. Let t be m(47). Let r = -2 - -7. Solve r*d = 4*n - t*d + 31, -n + 11 = 5*d for n. -4 Let y be (3 + -5)/(-1) - -3. Suppose -y*u = -0*u. Let x(o) = 2*o + 4. Let r be x(4). Solve -r = 4*s, u*w + 3*s = -5*w - 34 for w. -5 Let d = -93 + 109. Solve -3*j + j = 4*v + 16, 0 = 2*v - 3*j + d for v. -5 Let m be (-93)/9*-1 - 6/18. Solve -4*r = -7*r - j - 10, 2*j = -4*r - m for r. -5 Let x be 6/(-8) + (-2774)/(-8). Suppose 5*j = x - 101. Let b be (-2)/7 - (-112)/j. Solve 2*a = 2*c, -7*a = -2*c - 4*a + b for c. -2 Let x = -8 - -13. Suppose -x*i + 2 = -8. Solve -5*s - 3*a + 29 = -0*a, i*s = 5*a - 7 for s. 4 Suppose -6*v = -5*t - 4*v + 18, -3*t - 5*v = 14. Solve -4*m = -3*o - 7, -o - o + t = 4*m for o. -1 Suppose -f + 6*f + 10 = 0. Suppose c - 5*b = -3*c, -3*c = -b. Let i = c - f. Solve k = -i*t + 4 - 3, -5*k = -3*t + 8 for t. 1 Let z = 1 - -6. Solve -4*t = 4*v - z*t, 0 = 2*t - 8 for v. 3 Suppose -2 = -4*f + 3*f. Suppose 2*u - f*k = -2, -2*k = 2*u + k - 13. Solve -u*z - 2 = -0*z - 3*g, 2*g + 24 = -5*z for z. -4 Let g(d) = d**3 - 6*d**2 + 2*d - 8. Let u be g(6). Let f be (16/12)/(1/(-3)). Let k = 1 - f. Solve 5*y + 30 = -u*x, -5*y - x = -k*x - 10 for y. -2 Let s(k) = -2*k - 4. Let i be s(-4). Suppose i*v - 2*v = -3*f, 0 = -2*f - 2*v. Solve x + j + 3*j + 11 = f, 4*x - 1 = -j for x. 1 Let g(h) = -h**2 - 10*h. Let c be g(-10). Solve x = -5*p - 9, c = p + 2*x - 4*x + 4 for p. -2 Let a(o) = o + 9. Let h be a(0). Solve -3*k + 4*m = 14, 2*k + 0*m + m = h for k. 2 Suppose 13 + 22 = -5*g. Let f = g - -9. Solve 8 = f*l, 0 = y + l + 2*l - 11 for y. -1 Let y = 4 + -8. Let a = -2 - y. Solve 4*u + 9 = u + a*o, 0 = -5*o for u. -3 Let a be (-4)/(-2) - -1*2. Suppose a = -z - 3*z, 0 = -5*k - 4*z - 4. Suppose -2*x + 5*x - 6 = k. Solve -x*p - 3*n - 17 = 0, 5*n + 0 = 5*p + 5 for p. -4 Let w be (1/2)/(2/8). Let i be 1 - -1 - (-1 - 0). Suppose 11 = 5*g + 1. Solve -i*k - 2 = -w*y, 2*y = -g*y - 8 for k. -2 Suppose 17 = -3*i - 2*i - 3*k, -5*k = -4*i + 16. Let w(a) = -6*a - 1. Let f be w(i). Solve 4 = q + 4*g, -2*q + f*g - 5 = -3*q for q. 0 Let f = 32 + -22. Solve b = -5*u + 8, -u + 3*b - f + 2 = 0 for u. 1 Let j(d) = -d**3 - 6*d**2 - 7*d - 6. Let r be j(-5). Solve 12 = -4*p + r*m - 4, 4*p + 1 = m for p. 1 Let q be (-16 + 18)*(-5)/(-2). Solve 3*h + 9 = -3*z, z + 0 = -5*h + q for z. -5 Let b = 2 + 1. Suppose -14 = -c + 4*w, 5*c - 5*w - 19 = b*c. Suppose c*h + 0 = 4. Solve -x + 2*x + h*v = 2, 4*x - 2 = -2*v for x. 0 Suppose -8 = 4*s - 0*s. Let z be 1 + -3 + 2*3. Let k = z + s. Solve 3*f - 1 = -i - 6, 2 = k*i for f. -2 Suppose -3*p + 16 = -5*k, 3*k - 4*p + 10 = -4. Let d(r) = -3*r - 1. Let i be d(k). Let l = 5 + -5. Solve l = -i*w, 0*w - 2*w + 8 = -4*t for t. -2 Let g = -31 + 34. Solve -2*u - g = 3*q, -q - 3 = 2*q for u. 0 Let g = 33 - 30. Solve -c + 2*w + 11 = 0, g*w = 5*c + w - 31 for c. 5 Suppose 2*w + m = 8, 1 - 26 = -3*w + 5*m. Suppose 4*b = -2*v + 10, -w = -2*v + v + b. Solve -4*i + 12 = -5*j, 9 = -3*i - v*j - 17 for i. -2 Suppose 0 = 3*w - 5*w. Let v = -8 + w. Let i(o) = o**3 + 8*o**2 - o - 6. Let j be i(v). Solve -3*c - 8 = -3*b - 4*c, -2*b + c + j = 0 for b. 2 Suppose 0 = -5*b + 3*b. Suppose 0 = 2*k - 0*k. Suppose 4*z - 8 - 8 = k. Solve -5*m + b*m + 23 = z*s, 0 = -3*m + 9 for s. 2 Let r = -14 - -16. Let g be (8/(-3))/(r/(-3)). Solve z + 4*a = -7, 0*z - g*a - 12 = -4*z for z. 1 Let v(c) = -c**2 + 12*c - 7. Let b be v(11). Suppose -5 + 1 = -x. Solve -x*n - 2*w - 12 = 0, 2*n + b = -2*w + 2 for n. -5 Suppose -5*g + 75 = -2*q + 5*q, 4*g - 92 = 4*q. Let v = -12 + g. Solve -7 = 2*j + r, 2*j = v*j + 4*r + 24 for j. -1 Let g = 7 - 3. Let h be 1*2*(-35)/(-14). Suppose 4*f - g = -p, h*f = 4*p - 0*p - 16. Solve -l - p*l = -a + 7, 7 = -a - 2*l for a. -3 Let l be (4 + -3)/2*10. Solve -p - 3*o = 4*p - 26, -l*o = p - 14 for p. 4 Suppose -7*r - 7 = -21. Solve 17 = u + 5*f + 7, 3*u + r = f for u. 0 Let i(p) = -p**2 + 6*p - 3. Let t be i(4). Suppose -8*o = -4*o. Suppose -3*r - f = -3, o - 11 = -r + 3*f. Solve -t*s + 2 = y - 11, -2*s + 2*y = r for s. 2 Let g be 12/8 - 6/(-4). Suppose -m + g + 4 = 0. Solve -m = 5*w - 3*z, -2*w - 1 = z - 4*z for w. -2 Let k = -6 - -8. Suppose k - 10 = 4*i, 0 = 4*p + 2*i - 4. Solve -f - p = -2*y, -4*y + y - f = -8 for y. 2 Let n be (3/(-9))/((-2)/6). Let w be (6/(-12))/(n/(-22)). Let h = w - 7. Solve 0 = 2*u - h*z, -u - 6*z = -z + 14 for u. -4 Let w = 49 + -27. Suppose j + 4*o - w = 0, 2 = -4*j + 2*o - 0. Let b be 3/6 + 5/2. Solve -j*m + 14 = 6*y - 3*y, -b*y + 2*m + 10 = 0 for y. 4 Suppose 0 = -c + 5*c + 7516. Let u be (-6)/(-27) - c/9. Suppose 84 = -5*j + u. Solve -a + 5 = 5*n, 6*a - j = -n + a for n. 0 Let q = 3 - -1. Suppose 0 = -3*f - n + 1, -q*f - 17 = 5*n - 0*n. Solve -f*s + s - 11 = -4*u, -s - u + 4 = 0 for s. 1 Let a = 16 + 14. Suppose 0 = -5*c - 0*c + a. Let j(w) = -w**2 + 7*w - 4. Let u be j(c). Solve -5*o = -2*y - 2, 3*y + 7*o - 22 = u*o for y. 4 Suppose 0 = 3*x - 0*x - 54. Let s = 21 - x. Solve -12 - 4 = -4*u - 4*k, -k = 2*u - s for u. -1 Let z be 72/33 + 4/(-22). Suppose z*v + 3 = 9. Solve -3*g + v*j + 24 = 0, -2*j = -3*g + 3*j + 32 for g. 4 Suppose -2*j + 6 = 6. Solve j = -4*d + 2*h - 0*h + 6, 0 = -4*d - 4*h for d. 1 Suppo
{ "pile_set_name": "DM Mathematics" }
ue Does 34 divide 1496? True Is 2156 a multiple of 44? True Does 24 divide 7248? True Does 128 divide 89088? True Is 6 a factor of 132? True Is 4332 a multiple of 19? True Is 28 a factor of 5600? True Is 2796 a multiple of 19? False Is 30 a factor of 11670? True Is 3384 a multiple of 9? True Does 30 divide 52752? False Does 15 divide 1456? False Is 36 a factor of 11155? False Does 63 divide 1770? False Does 10 divide 323? False Is 25 a factor of 2375? True Is 6370 a multiple of 7? True Is 11225 a multiple of 58? False Is 6 a factor of 57126? True Is 1742 a multiple of 26? True Is 33 a factor of 3688? False Does 130 divide 1430? True Is 42817 a multiple of 262? False Is 65704 a multiple of 344? True Is 4 a factor of 49? False Is 78 a factor of 33683? False Does 67 divide 22780? True Is 3712 a multiple of 16? True Is 14 a factor of 1127? False Does 96 divide 2496? True Does 8 divide 204? False Is 784 a multiple of 28? True Is 15 a factor of 3617? False Is 13 a factor of 364? 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True Does 18 divide 4331? False Does 37 divide 7437? True Does 4 divide 156? True Is 20139 a multiple of 137? True Is 65 a factor of 25704? False Is 1219 a multiple of 53? True Is 12204 a multiple of 108? True Is 25 a factor of 1350? True Is 124 even? True Is 23 a factor of 11314? False Is 49 a factor of 51110? False Is 10236 a multiple of 5? False Is 11 a factor of 770? True Is 1031 a multiple of 20? False Is 40 a factor of 460? False Is 3652 a multiple of 44? True Does 104 divide 312? True Does 8 divide 29792? True Does 38 divide 138? False Is 434 a multiple of 13? False Is 3822 a multiple of 98? True Is 40862 a multiple of 94? False Is 32 a factor of 1120? True Is 183 a factor of 111630? True Is 8 a factor of 21999? False Is 107 a factor of 7347? False Is 783 a multiple of 6? False Is 6762 a multiple of 42? True Is 18 a factor of 16038? True Does 51 divide 9537? True Does 325 divide 69363? False Does 37 divide 747? False Is 75 a factor of 1666? False Does 6 divide 2944? False Is 2431 a multiple of 13? True Is 2889 a multiple of 2? False Is 83 a factor of 10819? False Is 4 a factor of 780? True Does 22 divide 14508? False Is 22 a factor of 1210? True Is 51702 a multiple of 14? True Is 17 a factor of 2343? False Is 4997 a multiple of 19? True Does 71 divide 24566? True Does 11 divide 1899? False Is 3 a factor of 57? True Is 11033 a multiple of 11? True Is 3 a factor of 830? False Does 27 divide 2539? False Is 1118 a multiple of 43? True Does 15 divide 30454? False Is 16 a factor of 256? True Does 6 divide 2894? False Is 620 a multiple of 18? False Is 455 a multiple of 66? False Is 114132 a multiple of 12? True Does 64 divide 768? True Is 134 a multiple of 2? True Is 847 a multiple of 21? False Does 4 divide 10888? True Is 615 a multiple of 4? False Is 5 a factor of 37135? True Is 90 a factor of 1170? True Does 3 divide 894? True Is 270 a multiple of 5? True Is 7180 a multiple of 38? False Is 158 a factor of 14543? False Is 3280 a multiple of 4? True Does 15 divide 21884? False Is 9852 a multiple of 4? True Does 11 divide 492? False Is 37 a factor of 15096? True Is 12 a factor of 22971? False Does 21 divide 12138? True Does 7 divide 278? False Is 23786 a multiple of 14? True Is 30 a factor of 1747? False Is 5869 a multiple of 3? False Does 12 divide 6576? True Does 17 divide 2822? True Does 19 divide 2812? True Is 22 a factor of 2573? False Is 6 a factor of 9666? True Is 95928 a multiple of 24? True Is 3340 a multiple of 5? True Is 156 a factor of 4836? True Is 8 a factor of 899? False Is 244 a factor of 11220? False Is 8 a factor of 734? False Is 44 a factor of 25978? False Is 6 a factor of 12723? False Is 6 a factor of 1925? False Is 4365 a multiple of 15? True Is 8 a factor of 32? True Does 6 divide 186? True Does 7 divide 3851? False Is 28417 a multiple of 181? True Does 51 divide 969? True Does 34 divide 1365? False Is 15 a factor of 1021? False Is 2899 a multiple of 49? False Does 7 divide 1779? False Is 4 a factor of 936? True Is 23 a factor of 230? True Does 12 divide 16612? False Is 227 a factor of 1362? True Is 17 a factor of 231? False Is 6697 a multiple of 47? False Does 57 divide 9348? True Does 22 divide 1540? True Is 88 a multiple of 4? True Does 47 divide 94? True Does 65 divide 1066? False Is 14 a factor of 2786? True Does 2 divide 8135? False Is 3 a factor of 144? True Is 40 a factor of 4036? False Is 38 a factor of 1152? False Is 22 a factor of 351? False Is 350 a multiple of 10? True Does 28 divide 16716? True Is 10 a factor of 381? False Is 11 a factor of 11? True Is 2311 a multiple of 110? False Is 58015 a multiple of 9? False Is 14476 a multiple of 28? True Is 15 a factor of 5953? False Is 7392 a multiple of 18? False Does 5 divide 525? True Is 4 a factor of 101? False Is 5684 a multiple of 53? False Is 7679 a multiple of 21? False Is 4521 a multiple of 26? False Is 3 a factor of 12? True Does 13 divide 7462? True Is 55 a factor of 2090? True Does 23 divide 23276? True Does 10 divide 901? False Does 23 divide 529? True Is 63 a factor of 693? True Is 20935 a multiple of 79? True Is 632 a multiple of 14? False Is 15276 a multiple of 67? True Does 52 divide 25792? True Is 41 a factor of 1737? False Does 26 divide 2259? False Is 384 a multiple of 16? True Is 19 a factor of 89417? False Is 64 a factor of 10639? False Is 23 a factor of 2139? True Does 4 divide 568? True Does 40 divide 320? True Does 69 divide 5451? True Is 8021 a multiple of 51? False Does 32 divide 97? False Does 32 divide 64? True Is 5 a factor of 6969? False Is 9 a factor of 361? False Is 34 a factor of 167? False Is 668 a multiple of 10? False Is 24714 a multiple of 6? True Is 30 a factor of 6750? True Is 121 a factor of 7728? False Does 285 divide 34061? False Is 1128 a multiple of 5? False Is 759 a multiple of 16? False Is 91 a factor of 38129? True Is 8 a factor of 760? True Is 111 a factor of 6327? True Does 115 divide 923? False Does 86 divide 35896? False Does 5 divide 2012? False Is 4 a factor of 55736? True Is 155 a factor of 9220? False Is 384 a multiple of 12? True Is 1245 a multiple of 8? False Is 8 a factor of 4389? False Does 26 divide 12116? True Is 1208 a multiple of 3? False Does 44 divide 4809? False Is 2 a factor of 233? False Is 189 a multiple of 3? True Does 10 divide 4050? True Is 13 a factor of 979? False Does 35 divide 446? False Does 26 divide 1310? False Does 21 divide 946? False Is 10 a factor of 5610? True Does 176 divide 6842? False Does 3 divide 618? True Is 2629 a multiple of 11? True Does 71 divide 113671? True Is 126 a multiple of 18? True Is 1859 a multiple of 42? False Is 51 a factor of 10536? False Is 10 a factor of 2036? False Is 4 a factor of 776? True Is 944 a multiple of 16? True Is 9236 a multiple of 6? False Is 6120 a multiple of 20? True Is 65 a factor of 6890? True Does 2 divide 888? True Is 648 a multiple of 18? True Does 118 divide 5900? True Is 29040 a multiple of 20? True Is 287 a multiple of 11? False Does 23 divide 184? True Does 82 divide 9922? True Is 23290 a multiple of 7? False Does 140 divide 36704? False Is 243 a factor of 21141? True Does 10 divide 3474? False Is 22960 a multiple of 112? True Is 41405 a multiple of 65? True Is 486 a multiple of 3? True Is 473 a multip
{ "pile_set_name": "DM Mathematics" }
- 131/7. Let u = -184/435 + j. What is the closest to q in u, 1, 3? u Let g = 41 + -42. Which is the closest to -2/5? (a) 111 (b) 5 (c) g (d) -0.5 d Suppose -4*l - 13 = -3*f, -5*f = 3*l + 2*l - 10. Suppose -313*w = -295*w - 18. Which is the nearest to 1? (a) w (b) l (c) 13 a Let x be ((-2760)/140 - -20) + 200/(-651). Which is the nearest to x? (a) 0.1 (b) 14 (c) 3 a Let v = -1.04181 + 0.34181. Let p = 0 - 0.5. Which is the closest to v? (a) -2 (b) -0.1 (c) p c Let q = 4.914 - 1.914. Let s = 4.15 + -0.15. Let t = 4.2 - s. Which is the closest to 0.2? (a) -0.08 (b) t (c) q b Let t = 2.06281 - 0.06281. Which is the closest to 7? (a) t (b) 0.4 (c) 92 a Let u be (7017/15 - 0)*(-7 + 8). Let h = u - 468. Which is the nearest to 0.4? (a) h (b) -1/7 (c) -3 b Suppose 0 = -2*x + i + 54, 0 = -181*i + 176*i + 30. What is the closest to 3 in 3, 1, x, -1/7? 3 Let j = -2/911 - -1832/4555. Let q be -1*1 + (-78)/(-91). What is the closest to 0 in 14, q, j? q Let t be 0 - (1 - 4) - (-10 + 23). Let h(w) = -w**2 - 6*w + 45. Let r be h(t). Let y = -3/52 - -133/52. What is the closest to 0.1 in -5, y, r? y Let n = 0.02 - 0.92. Let x = n - -1. Let v = -841.5 + 842. What is the closest to x in v, 0.1, 0.07? 0.1 Let j = -228.5 + 228.5. Let r be -22*2/(-12) - (2 + 1). What is the nearest to r in -0.3, j, 0.3, -1/4? 0.3 Let l = -354 + 354.2. Let u be -160 + (-100)/10 - (1 + 0). What is the nearest to l in -5, u, -2/3? -2/3 Let f = 0.51 + -0.41. Let q = 319 - 313.24. Let o = -0.24 - q. Which is the nearest to f? (a) 2/9 (b) o (c) 1 a Suppose 5*v = -2*m - 3, 5 = -3*v - v + m. Let r = 288 + -1437/5. What is the nearest to v in 1/11, -0.5, r? -0.5 Let d be ((-3)/2)/(3/(-2)). Let n(z) = 3*z**2 + 125*z + 79. Let v be n(-41). Suppose 4*t - 2*t - 6 = 0. What is the closest to v in 0.2, t, d? 0.2 Let k(g) = g**2 + 31*g + 211. Let j be k(-10). Which is the nearest to j? (a) -2/13 (b) -5 (c) 0.2 (d) 4.4 c Let l = 60787/3 - 20262. Which is the closest to 3? (a) -1 (b) l (c) 712 (d) 0 b Let w = 1447/2 + -724. Let m be (-81)/(-15) + 4/(-10). Suppose -6 - 4 = -m*i. Which is the closest to -1/2? (a) w (b) 4 (c) i a Let i = -324.3 - -320.3. Which is the closest to i? (a) 321 (b) -2 (c) -4 (d) -5 c Let c = 0 + 1. Let g be (-13)/(39/(-18)) - (27 + 1). Let n be 2/(-10)*(4 - (-33)/g). What is the closest to 2/3 in -2, c, n? c Suppose 4*w - 4*r - 836 = 0, -2*w - r - 4*r + 404 = 0. Let m = 205 - w. Let y = -2 - -3. What is the nearest to 0 in y, m, 3? y Let v(d) = 4*d**2 + 4*d + 39. Let q be v(10). Suppose 477*x - 22 = q*x. Which is the closest to x? (a) 0.1 (b) 2 (c) 4 a Let q = 98.4 - 165.7. Let s = q - -67. Which is the nearest to 8? (a) -3/7 (b) s (c) 4 c Let m = 8156 + -8159. What is the nearest to -0.1 in 0, m, 0.078, 1? 0 Let o be 0 + -3 - (2 - -9 - -61). Let x = -524/7 - o. Which is the nearest to 0? (a) x (b) 3 (c) -0.1 c Let o be 2 - ((4 - -4) + -3) - (-99)/36. Let b be (4/10)/(7/(-5)). What is the closest to b in -0.4, -4, o? o Let x be ((-14)/(-3))/2 - ((-2378)/(-30))/29. Which is the nearest to 12/13? (a) 26 (b) x (c) -0.5 b Let d = -38 + 53. Let n = -261 - -260. Let y be n/2*(-38)/57. Which is the nearest to 2? (a) y (b) d (c) 1/5 a Let p = -173830 - -173833. Let s(z) = z + 4. Let t be s(-5). What is the nearest to 23 in p, 0.4, t? p Let g be ((-18)/(-54))/((-1)/(-2)). Suppose -5 - 3 = -4*s. Let f = 5479.5 - 5480. Which is the closest to g? (a) f (b) s (c) 3 a Let n = 44.26 + -49.26. Let s be 2/6*12/8. Which is the nearest to n? (a) s (b) 2/19 (c) -2/7 c Let v be 4/(-6) - (9 + (7 - 16)). Let r = -130 + 128. Which is the nearest to r? (a) v (b) 0 (c) -11 a Let u = -0.06 - -5.06. Let m = -7/580 + 297/580. Which is the nearest to -0.2? (a) u (b) 0 (c) m b Let y = 4.1 - 1.1. Suppose 0 = 7*g + 36 - 155. Let z = -12 + g. What is the closest to 0.1 in z, y, 2? 2 Let m = 2 + -1.8. Let c = 488 + -488.698. Let u = c - -0.098. What is the closest to -0.1 in u, m, -2? m Let m = 47.64 + -52.64. What is the closest to 0.082 in 3/2, -0.4, m? -0.4 Let o = 1118 + -1117.1. Let d = 2.1 + -2.3. What is the nearest to -2 in d, o, -0.5? -0.5 Let h = -86 - -88. Let w be -3 - 29*h/(-18). Let m = 0.1 - -0.2. Which is the closest to 0.1? (a) w (b) -2 (c) m a Let h = -2368 - -2364. Which is the nearest to -2/5? (a) -0.15 (b) h (c) 2/3 (d) 0.5 a Let x = -10.773 - -10.273. Which is the closest to 0.4? (a) 25 (b) -2/7 (c) x (d) -0.3 b Let t be (-2)/(-6) - (-2)/(-6). Let a = -0.0556 + 64.0556. What is the closest to t in a, 2/3, 0.2? 0.2 Let q = -55/2 - -82/3. Let f = 0.21 + 27.79. Let u = 13 - f. Which is the closest to u? (a) 2/17 (b) 0.2 (c) q c Let v be (1 - 1)/(2/(-2)). Let n be (-8)/(-18)*2/(-4). Suppose 181214 = -145*q + 179474. Which is the nearest to v? (a) n (b) -5 (c) q a Let v = 55.3 - 55.752. Let l = v - -0.052. Which is the nearest to -1? (a) 2/9 (b) l (c) 1/4 b Let n = -27788 + 83363/3. What is the nearest to 0 in -1/2, 1/6, -1.8, n? 1/6 Let q = 3 - 6. Let g = 84446.7 - 84447. What is the closest to -8/11 in g, q, -1? -1 Let b = -69.48 - -69.38. Let p = 203/90 + -4/45. What is the closest to 1/2 in p, b, -0.2? b Let q = 278.98 + -279. Let j = -45.8 - -41.8. Which is the nearest to q? (a) j (b) 1 (c) 2 b Let t = -4.02 - -251.02. Let o = t - 227. Let j = 6 - 6.2. Which is the nearest to o? (a) 1/6 (b) j (c) -2/11 a Let b = -298.39 + -5.11. Let v = 303 + b. What is the closest to -12 in -2/5, 3, v, 0.2? v Let n = -701 - -1266. Let r = 564.5 - n. What is the nearest to -1 in 4, 0, r, 0.5? r Let k be 9/(-12) + (0 - -1). Let m be 396/(-16) - (22 + -46). Which is the closest to k? (a) m (b) 4 (c) -3/2 (d) 3 a Let h = -6.691 + 3.691. What is the closest to -2 in -13, 0.4, h? h Let k = -490 - -491. Let x be (-39)/(-33) - 4/22. Which is the nearest to x? (a) k (b) 1/5 (c) -0.1 a Let f = -0.4 - -0.416. Let h = -284.016 - -297. Let d = h + f. Which is the nearest to 2/3? (a) 2/5 (b) 2 (c) d a Suppose 3*j = -2*j - 2*y - 254, -4*y + 92 = -2*j. Let o = j - -50. Let v = 159/4 - 40. Which is the closest to o? (a) -3 (b) 0.5 (c) v c Let j = 545.21 + -542. Let z = 2.21 - j. Which is the closest to 0.1? (a) -4 (b) 20 (c) z c Let q = -1598 + 3197/2. Which is the closest to -1/3? (a) -3.3 (b) q (c) 2 (d) -2 b Let y = 13 + -6. Suppose -8*h + 74 + 38 = -2*r, -2*r - 3*h = -20. What is the closest to 0 in 2, -5/3, r, y? -5/3 Let g = 558 + -15061/27. Let f = -17/189 + g. Suppose 3 + 7 = 5*o. Which is the closest to 0? (a) f (b) 0.2 (c) o a Let o be (-360)/(-56) + (-8)/(-14). Let v = 83 + -82.8. Which is the closest to -0.1? (a) 12 (b) v (c) o b Let p = 0.77926 - -0.22074. Which is the nearest to p? (a) 0.1 (b) -7 (c) 122 a Let v = -2559 + 2554. Which is the nearest to -0.03? (a) 3/7 (b) 0.07 (c) 3 (d) v b Let o = -3.754 + 3.854. Which is the nearest to -1? (a) -0.011 (b) o (c) -5 a Let r = -1765.03 + 1765. Which is the nearest to r? (a) 0.4 (b) 0.1 (c) -2/5 b Let n = -2904 - -2903.8. Which is the closest to -0.07? (a) 0.4 (b) n (c) 0.6 (d) 0.027 d Let f = 8 - 14. Let h be -2 + (-12)/15*-2. Let t(q) = q**3 + 12*q**2 + 3*q - 168. Let p be t(-10). Which is the closest to f? (a) -5 (b) h (c) p a Let n = -37.07 - -37.37. Let v(r) = r - 3. Let f be v(7). Let u = 6 - 8. Which is the closest to n? (a) u (b) f (c) 2/3 c Let a = -107 + 109. Let v = -162 + 152. What is the nearest to v in 5, 2/13, a? 2/13 Let q = -6.72 - -18.4. Let g = 6.49 - q. Let r = 0.19 + g. Which is the nearest to -0.4? (a) -0.4 (b) 2 (c) r a Let w = 0.095 + 5.205. Let x = w + -5. Let t(z) = 257*z + 1026. Let k be t(-4). What is the closest to k in x, 4, -3? -3 Suppose 4*v - 3*k = v, 0 = -3*v + 2*k. Let q be ((-48)/28)/(-6)*-1. Which is the nearest to 2? (a) q (b) -5 (c) v c Let j = 31982 - 31981. Let p = -0.8 + -0.2. Which is the nearest to p? (a) 9 (b) -0.1 (c) j b Let y be 242/(-330)*-15 + -10. What is the closest to y in 0.09, 667, -0.3? 0.09 Let m = 158 - -137. Let o = m - 295.2. Which is the nearest to o? (a) -52 (b) 0.3 (c) -5/3 b Let d be (-50)/(-8)*268/201 + -8. Let p = 4 + 0. Which is the closest to d? (a) p (b) 0 (c) -7 b Suppose 8*w - 5*w - 15 = 0. Let q = 1.221 - 1.721. Which is the near
{ "pile_set_name": "DM Mathematics" }
t one million? 161000000 What is 0.004987 rounded to 3 dps? 0.005 What is -168600000 rounded to the nearest 1000000? -169000000 Round -20309200 to the nearest 100000. -20300000 What is -3325.9 rounded to the nearest ten? -3330 Round -7539 to the nearest 1000. -8000 Round 609280 to the nearest one hundred thousand. 600000 What is 1202.6 rounded to the nearest one hundred? 1200 Round 0.00014339 to five dps. 0.00014 What is 338.7 rounded to the nearest one hundred? 300 Round -0.047037 to three dps. -0.047 Round -0.16889 to two dps. -0.17 What is -730.9 rounded to the nearest ten? -730 Round -1766.35 to the nearest ten. -1770 Round 0.00131 to four dps. 0.0013 Round -0.12619 to two decimal places. -0.13 What is -8159200 rounded to the nearest one million? -8000000 Round 1533.6 to the nearest ten. 1530 What is -16320000 rounded to the nearest 1000000? -16000000 What is -197205 rounded to the nearest ten thousand? -200000 What is -2373500 rounded to the nearest ten thousand? -2370000 Round -27801.6 to the nearest 100. -27800 Round -0.0758 to 2 decimal places. -0.08 Round 0.4 to zero dps. 0 What is -0.001081 rounded to five decimal places? -0.00108 Round 0.00029715 to 5 dps. 0.0003 Round -6031.7 to the nearest 1000. -6000 What is -97070000 rounded to the nearest 1000000? -97000000 What is -1.7566 rounded to one dp? -1.8 What is -0.0000049 rounded to 6 decimal places? -0.000005 What is -91500 rounded to the nearest 10000? -90000 What is 549.4 rounded to zero dps? 549 What is 8025 rounded to the nearest ten thousand? 10000 Round -920000 to the nearest 100000. -900000 What is -5.5225 rounded to 2 decimal places? -5.52 Round -0.000002228 to seven decimal places. -0.0000022 Round 628240 to the nearest ten thousand. 630000 Round -0.0000037989 to 7 dps. -0.0000038 What is -0.00056776 rounded to 4 decimal places? -0.0006 What is -0.0000001077 rounded to seven dps? -0.0000001 What is -82.402 rounded to 0 dps? -82 Round -5758000 to the nearest 100000. -5800000 What is 1243.7 rounded to the nearest 10? 1240 What is -1758640 rounded to the nearest 10000? -1760000 Round 0.014897 to 4 decimal places. 0.0149 What is -21880000 rounded to the nearest 1000000? -22000000 What is -2.641 rounded to zero dps? -3 What is -0.000277 rounded to four decimal places? -0.0003 Round -636100 to the nearest one hundred thousand. -600000 Round -0.0031195 to 4 dps. -0.0031 What is 1.7658 rounded to 2 dps? 1.77 Round -2.25747 to one dp. -2.3 Round -114030 to the nearest 1000. -114000 Round 1.006 to 2 decimal places. 1.01 Round -73800 to the nearest one thousand. -74000 What is -491590 rounded to the nearest ten thousand? -490000 Round 84.444 to the nearest ten. 80 Round 39180000 to the nearest 1000000. 39000000 Round -0.001224 to 5 decimal places. -0.00122 Round -0.007272 to 3 decimal places. -0.007 Round -404.38 to the nearest ten. -400 What is -0.001092 rounded to 3 decimal places? -0.001 What is 1770500 rounded to the nearest 100000? 1800000 What is 21937200 rounded to the nearest one hundred thousand? 21900000 Round -3.455 to 1 decimal place. -3.5 Round -0.00000135848 to 7 decimal places. -0.0000014 What is -835.7 rounded to the nearest one hundred? -800 Round 5436 to the nearest one thousand. 5000 Round -23.53 to 1 dp. -23.5 Round 4676.1 to the nearest one hundred. 4700 Round 23632000 to the nearest one hundred thousand. 23600000 Round 0.000559 to 4 dps. 0.0006 What is -2.4347 rounded to one decimal place? -2.4 Round 36950 to the nearest one hundred. 37000 What is 234.7 rounded to the nearest 100? 200 What is -7408000 rounded to the nearest one million? -7000000 What is 10470 rounded to the nearest 10000? 10000 What is 0.00000035792 rounded to seven decimal places? 0.0000004 What is -31.7 rounded to 0 decimal places? -32 What is -9482.7 rounded to the nearest one hundred? -9500 What is 147890 rounded to the nearest ten thousand? 150000 What is -0.001707 rounded to four dps? -0.0017 Round -0.000001178 to 6 decimal places. -0.000001 Round -73930 to the nearest 10000. -70000 What is 0.0004505 rounded to 4 decimal places? 0.0005 What is 5.61 rounded to the nearest integer? 6 Round -0.096936 to three decimal places. -0.097 Round -514.3 to the nearest 10. -510 Round 0.00022494 to 6 decimal places. 0.000225 What is 0.0000108815 rounded to seven dps? 0.0000109 What is 182185 rounded to the nearest 10000? 180000 What is 0.02507 rounded to 1 decimal place? 0 What is 372900 rounded to the nearest 100000? 400000 Round 0.00133583 to four dps. 0.0013 Round 5.968 to 1 dp. 6 Round -0.00050856 to six decimal places. -0.000509 Round 26.044 to zero decimal places. 26 What is 9910 rounded to the nearest one hundred? 9900 Round 0.004203 to 3 decimal places. 0.004 Round -2225700 to the nearest 100000. -2200000 Round -0.000005518 to seven decimal places. -0.0000055 Round -0.01255 to 3 dps. -0.013 What is 0.382 rounded to 1 decimal place? 0.4 What is -0.0002139 rounded to 5 dps? -0.00021 Round -89548 to the nearest 10000. -90000 What is 0.004985 rounded to 3 decimal places? 0.005 Round 845 to the nearest 1000. 1000 Round -521.22 to the nearest 100. -500 What is 0.4745 rounded to two decimal places? 0.47 Round 0.030763 to 2 decimal places. 0.03 Round 6.681 to the nearest integer. 7 What is 0.00028126 rounded to 5 dps? 0.00028 What is 54.25 rounded to the nearest ten? 50 What is 417.64 rounded to the nearest 10? 420 Round -1.8227 to two decimal places. -1.82 Round -277890 to the nearest 1000. -278000 Round -0.0010312 to four decimal places. -0.001 What is -0.13262 rounded to 3 dps? -0.133 Round 3.4771 to one dp. 3.5 Round -5471 to the nearest 1000. -5000 Round 70342 to the nearest ten thousand. 70000 Round 0.0020997 to 4 decimal places. 0.0021 Round -15846.2 to the nearest one thousand. -16000 What is 4484.8 rounded to the nearest 1000? 4000 Round 0.6951 to one decimal place. 0.7 Round -0.1074 to 2 dps. -0.11 What is -1289.3 rounded to the nearest 10? -1290 Round -132900 to the nearest 10000. -130000 Round 49650000 to the nearest 1000000. 50000000 What is -6413.1 rounded to the nearest 1000? -6000 What is 0.01014 rounded to 3 decimal places? 0.01 What is -107300 rounded to the nearest ten thousand? -110000 What is 2800000 rounded to the nearest 1000000? 3000000 What is 58573 rounded to the nearest one hundred? 58600 Round -9677.5 to the nearest 100. -9700 What is 0.00236292 rounded to five dps? 0.00236 Round 0.000001147 to 6 decimal places. 0.000001 What is 157.32 rounded to the nearest 10? 160 What is 0.00204037 rounded to 5 dps? 0.00204 What is -0.000524 rounded to 5 decimal places? -0.00052 Round -20.5256 to 1 dp. -20.5 What is -82.9 rounded to the nearest 10? -80 What is 112800 rounded to the nearest ten thousand? 110000 Round 39432000 to the nearest 1000000. 39000000 What is 0.0049217 rounded to 5 decimal places? 0.00492 Round -2.4809 to two dps. -2.48 What is -0.3577 rounded to two decimal places? -0.36 Round -0.000009422 to 6 dps. -0.000009 Round -3522 to the nearest ten thousand. 0 Round 22510 to the nearest ten thousand. 20000 What is -0.1734 rounded to three dps? -0.173 What is 0.000050169 rounded to six dps? 0.00005 What is 0.0027059 rounded to 3 decimal places? 0.003 What is -0.04333 rounded to two dps? -0.04 What is 319700 rounded to the nearest one thousand? 320000 Round -0.000001565 to 6 dps. -0.000002 What is 93.4 rounded to the nearest ten? 90 Round 0.736 to one dp. 0.7 What is -196440 rounded to the nearest 1000? -196000 Round -1853 to the nearest 1000. -2000 What is 5967000 rounded to the nearest one hundred thousand? 6000000 Round 9.15 to the nearest integer. 9 Round 0.000013062 to 6 decimal places. 0.000013 What is 0.00000123 rounded to 5 decimal places? 0 Round 0.164731 to three dps. 0.165 What is -1790400 rounded to the nearest ten thousand? -1790000 Round -1634.53 to the nearest one hundred. -1600 Round -2251 to the nearest 100. -2300 Round 0.000003559 to 7 dps. 0.0000036 What is -18.831 rounded to 1 dp? -18.8 Round -0.00017351 to five dps. -0.00017 What is -0.0000233 rounded to five dps? -0.00002 What is -2455200 rounded to the nearest one million? -2000000 Round -0.00010466 to six decimal places. -0.000105 What is 0.4223 rounded to two dps? 0.42 What is 1.82 rounded to zero d
{ "pile_set_name": "DM Mathematics" }
in decreasing order. 1800, 1, -1, -2, -29 Put 5, -4, 6, -4094, -3 in decreasing order. 6, 5, -3, -4, -4094 Sort -4, 5, -997, 1, 11 in ascending order. -997, -4, 1, 5, 11 Put 9, 896, -3 in ascending order. -3, 9, 896 Put -1333/8, 1, -2 in increasing order. -1333/8, -2, 1 Sort -5559, -3, 42 in descending order. 42, -3, -5559 Sort -4/7, 3033/5, 43/2. -4/7, 43/2, 3033/5 Put 2/11, -69, 0, -17, 4 in ascending order. -69, -17, 0, 2/11, 4 Sort -0.2, -5, -1.18, -7 in ascending order. -7, -5, -1.18, -0.2 Put 1/8, 2/3, 2, -0.5, 5, -4.7 in descending order. 5, 2, 2/3, 1/8, -0.5, -4.7 Put -517, 2, 4, 1, -9 in descending order. 4, 2, 1, -9, -517 Sort 6, 22429, -4, 1/2. -4, 1/2, 6, 22429 Sort -1, -0.4, 30, 6, 5. -1, -0.4, 5, 6, 30 Sort -7, -3, 2, -2, -153 in ascending order. -153, -7, -3, -2, 2 Put 3/68, -18, 0, -0.1, 1 in decreasing order. 1, 3/68, 0, -0.1, -18 Sort -0.25, -2, 290, 1/6 in decreasing order. 290, 1/6, -0.25, -2 Sort 1, 2, -0.07, 4.8, 9. -0.07, 1, 2, 4.8, 9 Put 2/45, -0.4, 4/5, -5, -34 in increasing order. -34, -5, -0.4, 2/45, 4/5 Sort 2, 0.7, 58, -3.1 in ascending order. -3.1, 0.7, 2, 58 Sort 0.2, 245, -1, -4/3, -5, -3. -5, -3, -4/3, -1, 0.2, 245 Sort -0.345, -3, -13, -0.1, -2/5. -13, -3, -2/5, -0.345, -0.1 Put 1/4, 1, -3, 1394, 0.2, -15 in increasing order. -15, -3, 0.2, 1/4, 1, 1394 Sort 356, -1/25, 0.4, -40 in increasing order. -40, -1/25, 0.4, 356 Put 3, 1, -11, -1, 519 in ascending order. -11, -1, 1, 3, 519 Sort -2/11, -0.5, 19.69, 2, 1. -0.5, -2/11, 1, 2, 19.69 Sort -2, 2, -22112, 3, 4. -22112, -2, 2, 3, 4 Sort 5, 0.39, 0.3, 2, 1/3, -4/3 in decreasing order. 5, 2, 0.39, 1/3, 0.3, -4/3 Sort 2/9, 4/9, 3, -8, 1/3 in ascending order. -8, 2/9, 1/3, 4/9, 3 Sort -2/7, -20.5, 5, -2/3 in decreasing order. 5, -2/7, -2/3, -20.5 Sort -799, -1, -0.03. -799, -1, -0.03 Sort -2, -14, -1, -7, -20, 36 in decreasing order. 36, -1, -2, -7, -14, -20 Put -13, -2, -0.2, -8, 66, -1 in increasing order. -13, -8, -2, -1, -0.2, 66 Sort -855, -0.1, 2/5, 57 in descending order. 57, 2/5, -0.1, -855 Put -4, 1, -1, -89, 3 in increasing order. -89, -4, -1, 1, 3 Sort 0, 10204, -27 in decreasing order. 10204, 0, -27 Sort -75217, -5, -2 in descending order. -2, -5, -75217 Sort 55, -17, 1, 5, -4, -3 in increasing order. -17, -4, -3, 1, 5, 55 Put -3, -0.2, -2/3, -1/3, -2, 840 in descending order. 840, -0.2, -1/3, -2/3, -2, -3 Sort -14, -1, -2, 1, 1032. -14, -2, -1, 1, 1032 Sort -3, -7, 3, 4, 265 in descending order. 265, 4, 3, -3, -7 Sort -7809, -9, 4 in descending order. 4, -9, -7809 Sort -0.08, -9/2, -0.9, 5, 10, 2/9 in decreasing order. 10, 5, 2/9, -0.08, -0.9, -9/2 Put 0, 78, 1, -2, -29, -1 in decreasing order. 78, 1, 0, -1, -2, -29 Sort -0.5, -23.8, 23/2, -0.2 in ascending order. -23.8, -0.5, -0.2, 23/2 Sort -25, -3, -4, -2, -5 in ascending order. -25, -5, -4, -3, -2 Put 77.2, 0.1, 75, 4 in increasing order. 0.1, 4, 75, 77.2 Sort -2/1223, 0.4, 9/29 in increasing order. -2/1223, 9/29, 0.4 Put 15063, -4, 1, 5 in decreasing order. 15063, 5, 1, -4 Sort 0.038, -5, -359, -3 in descending order. 0.038, -3, -5, -359 Sort -3, 2, 15, 0 in descending order. 15, 2, 0, -3 Sort -5, -10/377, -1/3, 0, -3 in ascending order. -5, -3, -1/3, -10/377, 0 Sort -69/4, -220, -0.2. -220, -69/4, -0.2 Sort -2500, -0.4, -126 in descending order. -0.4, -126, -2500 Sort 5, -1, -3, -2, -42, -5 in ascending order. -42, -5, -3, -2, -1, 5 Sort -14, -1/4, -5, -4.8, -2. -14, -5, -4.8, -2, -1/4 Sort -2, -1, -3, 10, 36 in descending order. 36, 10, -1, -2, -3 Put 66/7, -120/41, 6 in descending order. 66/7, 6, -120/41 Sort 959, -3, 67 in increasing order. -3, 67, 959 Sort -1, 3, -5, 23, -4, 0 in ascending order. -5, -4, -1, 0, 3, 23 Sort 6, -0.4, 4, 4913. -0.4, 4, 6, 4913 Sort 0.7, 0, -1, -2.5 in descending order. 0.7, 0, -1, -2.5 Sort -5, -14, -2419 in decreasing order. -5, -14, -2419 Sort -0.02, -3, -26, -0.6, 4, 7 in decreasing order. 7, 4, -0.02, -0.6, -3, -26 Sort -2, -1693, -60, -5. -1693, -60, -5, -2 Put -2, -29, -4, 1, 0 in increasing order. -29, -4, -2, 0, 1 Sort -80, 5, -5, -3 in descending order. 5, -3, -5, -80 Sort -101, -0.2, 22, 5, 3 in decreasing order. 22, 5, 3, -0.2, -101 Put 1, 787, 3, -153, 4 in decreasing order. 787, 4, 3, 1, -153 Sort 6, 0.3, 59, -3/91, -0.5, 3/5. -0.5, -3/91, 0.3, 3/5, 6, 59 Put -2, -80, -0.165, -0.3 in descending order. -0.165, -0.3, -2, -80 Sort 4, -3, 3924, -5, 1. -5, -3, 1, 4, 3924 Put -1/3, 5, -0.2, 0.2, 2, -151 in decreasing order. 5, 2, 0.2, -0.2, -1/3, -151 Sort -2, 2, 15, 1, 17. -2, 1, 2, 15, 17 Put 2, 4, 14, -6 in decreasing order. 14, 4, 2, -6 Put -5, -72, -0.9, -2/23, 0, 4 in decreasing order. 4, 0, -2/23, -0.9, -5, -72 Put -29, 3, -1, -7, 40, -21 in descending order. 40, 3, -1, -7, -21, -29 Sort -4, 9/133, 11.5 in ascending order. -4, 9/133, 11.5 Put -51.4, 523, -1/4 in descending order. 523, -1/4, -51.4 Sort -4, 131, -15, -2. -15, -4, -2, 131 Sort -956, -3, 5, 3, 4, 7 in increasing order. -956, -3, 3, 4, 5, 7 Put -1015, 2, -0.07, 2/27 in descending order. 2, 2/27, -0.07, -1015 Sort 0.4, -0.1136, -0.14 in ascending order. -0.14, -0.1136, 0.4 Sort -1, 3/13, -1.41, 2/9 in increasing order. -1.41, -1, 2/9, 3/13 Put 2.3, 162/29, -2/5 in decreasing order. 162/29, 2.3, -2/5 Put -5, 0, 2, 93 in descending order. 93, 2, 0, -5 Sort -0.01, -102/145, 4 in descending order. 4, -0.01, -102/145 Sort 1, -11.4, -44 in descending order. 1, -11.4, -44 Put 0, -38, -5 in increasing order. -38, -5, 0 Put 1/9, -12, -2/17, -0.0077 in descending order. 1/9, -0.0077, -2/17, -12 Sort 3035, -0.5, 4 in increasing order. -0.5, 4, 3035 Sort 5, -2/3, -5, -223, 2/87, -0.5 in decreasing order. 5, 2/87, -0.5, -2/3, -5, -223 Put -5, 34, -3, -34, -4 in decreasing order. 34, -3, -4, -5, -34 Sort -5, -276, 2, -1, -2, 55 in decreasing order. 55, 2, -1, -2, -5, -276 Sort 83, -11, 0.2, 0.36, -2, 2 in increasing order. -11, -2, 0.2, 0.36, 2, 83 Sort 3/26, 0.5, 2/5, 6, 3/8, 0.0272 in decreasing order. 6, 0.5, 2/5, 3/8, 3/26, 0.0272 Sort 31, 2, 186. 2, 31, 186 Sort 24, -1266, 21 in decreasing order. 24, 21, -1266 Sort -3.8, 3/58, -0.8 in descending order. 3/58, -0.8, -3.8 Sort 1, 113/3, 4, 0 in descending order. 113/3, 4, 1, 0 Sort 5, 29, -491 in descending order. 29, 5, -491 Sort 0.2, 3/22, -6, 4 in descending order. 4, 0.2, 3/22, -6 Sort -77, 39, 3, -113. -113, -77, 3, 39 Put 0, -4, 34, -10, -1 in descending order. 34, 0, -1, -4, -10 Put 1, 4, 2, 42, -11, -1 in decreasing order. 42, 4, 2, 1, -1, -11 Sort 1, -0.1, 168280, -1/6, 0.1 in increasing order. -1/6, -0.1, 0.1, 1, 168280 Put 4, -107, 3/107 in increasing order. -107, 3/107, 4 Sort 0.4, 3/2, 0.2, -0.2, 0.4754. -0.2, 0.2, 0.4, 0.4754, 3/2 Sort -13, 4, 64, 6 in increasing order. -13, 4, 6, 64 Sort 2, -1, 23, 48, 4, -102 in decreasing order. 48, 23, 4, 2, -1, -102 Put 34, 97, 3, 0 in ascending order. 0, 3, 34, 97 Put 1, -56, -5, -154, 5 in increasing order. -154, -56, -5, 1, 5 Sort -174, -42, -0.5, -5 in decreasing order. -0.5, -5, -42, -174 Sort -1, -2, 30566, -6 in increasing order. -6, -2, -1, 30566 Sort -5, -1/8, -25/6, 5, -4/3, -6 in descending order. 5, -1/8, -4/3, -25/6, -5, -6 Sort 2/3, -4, 58 in ascending order. -4, 2/3, 58 Sort -207, -253, 4. -253, -207, 4 Sort -192, -3, 3191 in decreasing order. 3191, -3, -192 Put 2, 6/19, 7 in decreasing order. 7, 2, 6/19 Sort -2, 0, -20, 158 in descending order. 158, 0, -2, -20 Sort 33, -11, 0, 2/21 in increasing order. -11, 0, 2/21, 33 Sort 1/151, -1/4, 0.02, 1, -16/3 in descending order. 1, 0.02, 1/151, -1/4, -16/3 Sort 0, -5, 29, 1, 9, 5 in increasing order. -5, 0, 1, 5, 9, 29 Put 11656, 11, -3 in decreasing order. 11656, 11, -3 Sort 2/35, 2/9, -1/7, 0.03, 5, 461. -1/7, 0.03, 2/35, 2/9, 5, 461 Sort 4, -16, -5, 1, 5. -16, -5, 1, 4, 5 Sort -23, 2, 4, 0. -23, 0, 2, 4 Sort -1, -770/9, 165 in decreasing order. 165, -1, -770/9 Sort 2, -52, 3, 0, 6 in increasing order. -52, 0, 2, 3, 6 Put -76, -1, 3, 0, -3/220, -1/4 in decreasing order. 3, 0, -3/220, -1/4, -1, -76 Put 5, 4, 20, 26 in ascending order. 4, 5, 20, 26 Put -3, -5, -10615 in increasing order. -10615, -5, -3 Sort 1, -2/13, -457, 26 in descending order. 26, 1, -2/13, -457 Put 1241, 3, 4, 1/5, -1/6, -4 in decreasing order. 1241, 4, 3, 1/5, -1/6, -4 Sort -4.96, -2, 11, 0, -0.5 in decreasing order. 11, 0, -0.5, -2, -4.96 Sort -5, 225, 1027 in d
{ "pile_set_name": "DM Mathematics" }
*h - 4*b, 2*h = 3*b + 307. What is the hundreds digit of h? 1 Let m be (-18)/(-15)*5/2. Suppose -v = 4*v - 15. Let r = v + m. What is the units digit of r? 6 Let u = -25 - -45. What is the units digit of u/(-10) + 1 + 27? 6 Suppose -29 = 4*a - 129. Let g = a + -16. Let h(o) = -o + 10. What is the units digit of h(g)? 1 Let y(b) = -8*b + 1. Let l(v) = v - 1. Let p(j) = 5*l(j) + y(j). Let a be p(-3). Suppose 4*i = -a*x + 51 + 4, -2*x + 5*i = -22. What is the units digit of x? 1 Let a = 221 + -129. Suppose 0 = -5*f + f + a. What is the units digit of f? 3 Suppose 24 = -8*w + 128. What is the units digit of w? 3 What is the tens digit of (-18 - 0)/(12/(-450)*5)? 3 Let f(d) = d**2 - 3*d - 2. Let m(g) = g**2 + g - 2. Let n be m(2). Suppose 0*s + s = -n*v + 13, 5*v - 17 = -s. What is the units digit of f(v)? 2 Let r be (-5)/(-25) - (-24)/5. Let z(v) = v**3 - 4*v**2 - 6*v + 7. Let m be z(r). Suppose 4*o - 3*l = 48, -5*l = m*o - 3*o + 29. What is the units digit of o? 9 Suppose -4*q - 10 = 2, -5*x + 5*q = -55. What is the units digit of x? 8 Suppose 12*s - 1305 = 771. What is the tens digit of s? 7 Let d be 2/(-5) + 13/(-5). Let b(q) be the second derivative of q**5/20 + q**4/3 + q**3/3 - 2*q. What is the units digit of b(d)? 3 Suppose 5*h - 39 = 41. What is the units digit of h? 6 Let u = 8 - 4. Suppose 3*r = -u*n + 28, 1 = 4*n - 3. What is the units digit of r? 8 Suppose -3*n + 31 = -5*v, -2*v + 3 = 2*n + 9. Suppose -5*x + 44 = -3*w, -n*w - 32 = -5*x + 4. Let z(u) = u + 9. What is the units digit of z(w)? 1 Let d = 126 + -83. What is the tens digit of d? 4 Suppose 3*z - 1 = 2*z. Let b = 10 + -6. Suppose 4*m - z = -3*k - 6, -b*k = -5*m - 14. What is the units digit of k? 1 Suppose 0 = 4*l, 4*q - 2*l + 2 - 22 = 0. Let r = q - 0. Suppose -r*g = -29 + 9. What is the units digit of g? 4 Let w(f) = f**3 + 5*f**2 + 7*f + 6. Let m be w(-4). Let s = 6 + m. Suppose s = x - 5*i + 17, -6*x = -x + 3*i - 27. What is the units digit of x? 3 Let v(y) = -2*y**3 + 2*y**2 - 2*y - 4. Let h(s) = s**3. Let x(i) = 3*h(i) + v(i). Let f be x(-3). Let q(a) = -a**2 - 9*a + 5. What is the units digit of q(f)? 9 Let f be (6 - -5)/((-2)/8). Let h = -17 - f. What is the tens digit of h? 2 Let n = 106 - 19. What is the units digit of n? 7 Let c = 12 + -11. What is the units digit of 18*2/4 - c? 8 Let h(l) = l**2 + 4. Let a be h(0). Suppose 8 - a = -4*d. Let m(b) = -5*b + 1. What is the units digit of m(d)? 6 Let s(c) = -c**2 - 5*c + 5. Let n be s(-7). What is the units digit of (-3)/2*12/n? 2 Suppose -5*f - 157 = -5*q + 298, 443 = 5*q + f. What is the tens digit of q? 8 Suppose 2*n - 7 = g, -4*g - 15 = -5*n - g. What is the units digit of n? 6 Suppose 0 = -3*g + 4*m + 3, 2*g - 3*m - 2 = -1. Suppose -2*a - 6 = g*i - 1, -3*i = 15. What is the units digit of a? 0 Let n(m) = m**3 + 3*m**2 - 2*m - 3. Let b be n(-3). Suppose -b = f + a, 4*f - 6*f + 2 = -2*a. What is the units digit of (f - -17) + (5 - 8)? 3 Let u = 5 + -5. Suppose u*z = -z + 7. What is the units digit of z? 7 Let u(i) = i + 5. Let r be u(-4). Suppose o + 4*d - 2 = 0, o - d - r = 1. What is the units digit of o? 2 Let z be (-8)/6*15/(-10). Suppose -50 = -4*v - z. What is the units digit of v? 2 Suppose b - 26 = -5. What is the tens digit of b? 2 Let k = 4 - 10. Let j(v) = 9*v - 2 - 10*v - 3. What is the units digit of j(k)? 1 Let v = -3 + -11. Let n = -10 - v. What is the units digit of n? 4 Let i = -19 + 5. Let q be (-2)/(-3) + i/(-6). Suppose -15 = -2*v + q. What is the units digit of v? 9 Let o = -304 + 602. What is the hundreds digit of o? 2 Suppose -g + 3*r = -2*g + 31, g - 2*r - 46 = 0. What is the units digit of g? 0 Let q = -27 + 91. What is the units digit of q? 4 Suppose 2*t + 0*x = x, 8 = 2*x. Let s = t - 1. Suppose s + 1 = h. What is the units digit of h? 2 Let d = 94 + -47. Let b = d - 26. What is the units digit of b? 1 Let i = -77 + 170. Suppose -4*m + i = -m. What is the units digit of m? 1 Suppose f - 5*f + 3*n + 49 = 0, f = 4*n + 9. Let t = -2 + f. What is the tens digit of t? 1 What is the units digit of (-1664)/(-44) + 2/11? 8 Suppose -44 = -4*n + 2*x, 5*n = n + 3*x + 46. Suppose -24 = 4*a + 5*w, 3*w - w = -2*a - n. What is the units digit of -5*(-2)/(a + 3)? 5 Let y = 138 + -18. What is the units digit of y? 0 Let l(i) = -i**3 + 15*i**2 - 10*i + 2. What is the units digit of l(7)? 4 Let z(s) be the first derivative of s**4/8 - 7*s**3/6 - s**2/2 - 2. Let q(o) be the second derivative of z(o). What is the units digit of q(5)? 8 What is the units digit of (-5)/15 + 64/3? 1 Let g(o) = -13*o + 1. Let u = 1 + 3. Suppose -u*q = 3 + 1. What is the units digit of g(q)? 4 Let b(j) = j**2 - 7*j + 6. Suppose 5*g - 4*a = -3 + 7, -3*a = 3*g - 24. Let r be b(g). Let x = 8 + r. What is the units digit of x? 2 Let r(k) = k**3 + k**2 + k - 3. What is the tens digit of r(2)? 1 Suppose 3*m = b - 88, -3*b = -5*m - 18 - 230. What is the tens digit of b? 7 Let o(a) be the third derivative of -a**6/120 + 11*a**5/60 + a**4/2 + a**3/3 + 2*a**2. What is the units digit of o(12)? 2 Let k(t) = t**2 + 8*t + 4. Let y be k(-7). Let j = y - -4. Suppose -4*w = o - 15, 2*w - j = o + 2. What is the units digit of o? 3 Suppose -4*u + 52 = 3*c + 3, 0 = -3*u + c + 27. Let z = u + -5. What is the units digit of z? 5 Let p = -33 - -85. What is the units digit of p? 2 Let o = 1 - -3. Suppose 0*c - c - 2*q + 15 = 0, 68 = 4*c + o*q. What is the units digit of c? 9 Let o be (3/2)/(6/12). What is the tens digit of -25*(-1 - (3 - o))? 2 Let m = -85 - -161. What is the tens digit of m? 7 Let p be (-7 - -2)/(3/(-36)). Let h = p - 43. Let z = h + -10. What is the units digit of z? 7 Let l = -10 - -13. Suppose -5*c = 5*t - 40, t - l*c = 6*t - 40. What is the units digit of t? 8 Suppose u - b - 7 = -3*u, -2*u + 8 = -2*b. Suppose -2 = -t + u. Let l = -2 + t. What is the units digit of l? 1 Suppose 0*z + 4*i + 20 = 4*z, -2*i = 0. Suppose 2*b = -z*h + 57, -2*h = -3*b + b - 34. What is the units digit of h? 3 Let m(u) = -u**2 - 10*u - 7. Let c be m(-7). Suppose -3*k = -z - 4 - 15, 3*k - c = -4*z. What is the units digit of k? 6 What is the tens digit of ((-8)/6)/((-3)/189)? 8 Let i(w) = w**3 - 9*w**2 + 10*w + 4. Let g be i(8). Suppose 3*p + 5 = u, u + g = 5*u. Suppose p*d - 3*d = -63. What is the tens digit of d? 2 Let j(x) = -x**2 - 11*x + 15. Let f be j(-12). Suppose -f*y = -0*y - 90. What is the tens digit of y? 3 Let s = 177 - -44. What is the units digit of s? 1 Let k = 16 + -11. Suppose -i - 8 = -k*i. What is the units digit of i? 2 Suppose -5*c = -2 - 13. Let i(h) = -h**2 + 2*h. Let o be i(c). What is the units digit of 0 + (-1 - (-1 + o))? 3 Let x(g) be the first derivative of -g**4/4 - 4*g**3/3 + 2*g**2 - 2*g + 1. Let v = 17 - 22. What is the units digit of x(v)? 3 Let q be (3 - 0)*80/24. Let a(s) = -s**3 + 9*s**2 + 14*s + 1. What is the units digit of a(q)? 1 Suppose -5*p + q + 402 = -0*q, 4*p - 327 = -q. What is the units digit of p? 1 Let h(f) = f**2 - 6*f + 3. Let n be h(6). Suppose -4 - 26 = -n*k. What is the tens digit of k? 1 Suppose 4*t - 106 = 54. Suppose 6 = -i + t. What is the tens digit of i? 3 Let u be 2/(-3) + 143/3. Suppose 3*x - u = -17. What is the tens digit of x? 1 Let t(q) = q**3 - 5*q**2 + 6*q - 5. Let c be t(4). Suppose -c*a + 1 + 2 = 0. What is the units digit of a? 1 Let r = -5 - -11. Let m be ((-25)/(-3))/((-1)/r). What is the units digit of (-6)/(-9) + m/(-6)? 9 Suppose 30 = -3*c + 117. What is the tens digit of c? 2 Let k(l) = -2*l + 11. Let j(i) = -3*i + 21. Let y(r) = -4*j(r) + 7*k(r). Suppose -5*c - 30 = a + 3*a, -a = 4*c + 13. What is the units digit of y(a)? 3 Let w = -13 - -43. What is the tens digit of w? 3 Let p = -8 + 10. Suppose i = 4*q - 116, p*q + 7*i - 3*i = 40. What is the tens digit of q? 2 What is the tens digit of (15 - -1)*(-49)/(-28)? 2 Suppose -24 = 22*u - 26*u. What is the units digit of u? 6 Let w(r) = r**3 - 5*r**2 + 2*r - 6. Suppose 0*y + 2*y = 10. What is the units digit of w(y)? 4 Let u(h) = 36*h - 4. Let f(b) = -b - 1. Let n(d) = 2*f(d) - u(d). What is the units digit of n(-1)? 0 Let y(m) = -m**3 + 4*m**2 - 1. What is the units digit of y(3)? 8 Let g(k) = 3*k**2 + 3*k + 4. What is the units digit of g(-3)? 2 What is the units digit of (35/21)/((-2)/(-6))? 5 Suppose -3*q + 13 = -2*q + 2*l,
{ "pile_set_name": "DM Mathematics" }
is the nearest to 1 in -2/3, t, 5? t Let q = -10 + 10.3. What is the closest to -2/7 in 0, 0.2, q? 0 Let i = 33 - 34. Which is the closest to 2? (a) -4 (b) -1/3 (c) i b Let z = -0.32 + -3.08. Let v = z - -3. Let w = v + 0.2. Which is the nearest to -0.1? (a) 3/5 (b) w (c) -0.5 b Let g = 57 - 56. Which is the closest to -1/2? (a) -3 (b) 1/2 (c) g b Let y = 5 + -6. Let r be 0/3 + y/(-5). Let w = 73/9 + -25/3. Which is the nearest to 2/5? (a) w (b) 5 (c) r c Let f = -0.2 - 0.3. Let d = 0.5 - f. Which is the nearest to d? (a) -3 (b) 1 (c) 0.5 b Let g = -28.1 + 28. Which is the closest to g? (a) -2/5 (b) -3 (c) 1/4 a Let w = 8/3 + -13/6. Let q = -30 - -30.1. What is the nearest to 1 in q, w, 0.2? w Let p = -19.9 - -2.9. Let i = -17 - p. Let s = -2 + 2.5. What is the nearest to i in 3, s, 0? 0 Let z = 2.3 - 2.3. Let s = -0.06 + -4.94. Which is the closest to 2/3? (a) z (b) s (c) -0.1 a Let s = -3 + 2.5. What is the closest to -1 in 2/11, -3, s? s Let i = 0.38 - 0.08. Let x = 8 + -5. Which is the closest to x? (a) i (b) -2/7 (c) -1/3 a Let l = -21 + 21.5. What is the closest to -0.2 in 0.3, l, 1? 0.3 Let j = 17.5 + -18. What is the closest to -1 in 5, 10, j? j Suppose 10 = -5*l - 15. Let n be l*((-294)/(-75) + -4). Let f = 0.2 + -1.2. What is the nearest to f in n, 0, 0.1? 0 Let w be -2 - (-97)/11*23. Let z = w + -201. Let l = 0.1 + -1.1. What is the closest to l in 0.1, -1, z? -1 Let q(w) = w - 8. Let t be q(7). Let c be t*0*(-2)/4. What is the nearest to 0.3 in -1, c, 1/6? 1/6 Let m = 6 - 7. Which is the nearest to -1? (a) -3 (b) 4 (c) m c Let q = -47 + 42. Which is the nearest to 2? (a) -2 (b) 2 (c) q b Let v = -12 - -8. Let j = -2 - -4. Suppose -l - q = 2 + j, 4*q + 16 = 0. Which is the closest to 2/7? (a) v (b) -5 (c) l c Suppose 5*b - o - 6 = 0, -o = -3*b - 2*o + 10. Suppose 5*j - 7 = -b. What is the closest to 0.2 in 5, -5, j? j Let t = -5.6 + 6. Let k = -2 - -5/2. Which is the closest to 0.2? (a) -0.2 (b) k (c) t c Let s = -16 - -15.9. Let o = -47/18 + 28/9. Which is the closest to o? (a) s (b) 1/5 (c) -3 b Let x = 1.5 + -2. Let y be 20/(-90) - (-58)/18. Suppose -5 = -y*j + 1. Which is the nearest to -1? (a) x (b) -1/6 (c) j a Let h = -77 - -72. Let t = 0.3 - 0.1. Which is the closest to t? (a) -4 (b) 4 (c) h b Suppose n - 58 = -0*n. Let f = 26774/7 + -3767. Let v = f - n. What is the nearest to -0.1 in v, 3/5, -2/3? v Let p = -0.12 + 0.52. Let o = -193/3 - -65. Which is the closest to 1? (a) o (b) -0.3 (c) p a Let q = -0.036 - -3.996. Let p = 0.04 + q. Let g = 0.01 + 0.99. Which is the nearest to 2? (a) -2/7 (b) p (c) g c Let q = -2.05 - -0.05. Let k = -2.1 - q. Let v = -3.5 + 3. What is the nearest to k in 2/9, v, 3? 2/9 Let n = 48 - 48.5. Which is the closest to 1? (a) n (b) -3 (c) -63 a Suppose -q - 5*o - 14 = 1, 0 = 4*o + 4. Let l be (-2)/(-1) - q/(-8). Which is the closest to 0? (a) 4 (b) l (c) 0 c Let x = -14 - -14.35. Let k = -0.05 + x. Which is the closest to -2? (a) k (b) 3 (c) -5 a Let d = -2/195 - 581/390. Which is the closest to -1? (a) d (b) -5 (c) -8 a Suppose -4*l = -6*l + 56. Let x = l + -86/3. What is the nearest to x in 2, 0.1, 0.3? 0.1 Let f = 0.06 + 3.94. Let r = 4 - f. Which is the nearest to 0.1? (a) -4 (b) 3 (c) r c Let n = 140 + -1258/9. Let t = -1.37 + -0.63. Which is the nearest to t? (a) -3 (b) n (c) 3 a Let g = 0.2 - 0.2. Let t = -4/3 + 2/3. Which is the nearest to g? (a) 5 (b) 0.1 (c) t b Suppose -3*s = -s, 0 = -t + s - 2. Let k = -0.5 + 1.5. What is the nearest to -1 in k, t, -4? t Let i = -636/77 - -54/7. Which is the closest to 0? (a) 3 (b) -3/5 (c) i c Let m = -21/8 + 105/8. Let t = 61/6 - m. What is the closest to -1 in 3, t, -0.3? t Let d be (-2)/3*1/(-2). What is the nearest to 1/4 in d, -1, -5? d Let n = 17.06 + -0.06. Let w = n - 18. What is the closest to w in 2/13, -1, 0.1? -1 Suppose -2*d = -3 + 11. Let g be d*(3 - 57/18). Let p = -100 - -704/7. Which is the closest to -2/7? (a) p (b) g (c) 4 a Let z be (-1 + 34/30)*(-110)/11. Let t = -8 + 23. Let w = 10 - t. What is the nearest to 0 in 1/3, w, z? 1/3 Let d = -11/2 + 61/14. Let b = d - -25/28. Let k = 95/28 - 22/7. What is the closest to -1/3 in k, 4, b? b Let h = -85 + 339/4. What is the nearest to h in -3, 1, -2? 1 Let a = -27.2 + 27. What is the closest to 4 in a, 0.4, 1? 1 Let y = 20 - 21. Which is the closest to 0.1? (a) -5 (b) 1/8 (c) y b Let i = -1.4 - -0.6. Let c = 1.3 + i. What is the closest to 0.1 in -1, c, 3/2? c Let j = -1.462 - 0.038. Which is the nearest to 0.1? (a) 0.3 (b) j (c) 1 a Let b = 2 + -8. Let l = b + 5.9. Let k = 102 - 513/5. What is the closest to 0.2 in -1, l, k? l Let m(d) = -d**2 - 5*d + 19. Let x be m(3). What is the closest to -2/13 in x, 0.3, -3? 0.3 Let o be (1/4)/((-2)/(-12)). Let j(i) = -i**3 - 6*i**2 - 7*i - 6. Let t be j(-5). Suppose -4 = t*s - 0. Which is the nearest to s? (a) 0.3 (b) o (c) -0.1 c Let v be ((-2)/(-6))/(4/(-4 - 0)). Which is the closest to v? (a) 1 (b) 0.5 (c) -6 b Let p(v) = 22*v + 0 - 24*v + 3. Let k be p(2). What is the closest to k in 2/7, -4, -1/11? -1/11 Let d = -0.28 - -0.08. Which is the nearest to -0.1? (a) d (b) 3 (c) -4 a Let v be 30/(-40) + (-1)/(-2). Which is the closest to v? (a) -1/4 (b) 6 (c) -2 a Let d = -253/2 + 126. What is the nearest to -13 in d, 5, -1/3? d Let a = -2 + 2. Suppose -13 = 3*t + 2. Let j = 2.04 - 0.04. What is the nearest to -2/3 in j, a, t? a Let c = 0.02 - -2.98. Let q be 1*0*(3/6 + -1). What is the closest to q in 1, c, -2? 1 Let j = 34 + -14. Suppose -2*h + 3*h = j. Let o be 2/4 - 2/h. What is the closest to o in -1, 0.2, -2/11? 0.2 Let m(c) = c**2 - 2. Let z be m(-2). Suppose -3*t - 5 = -z*t. Let u = -1/66 + 35/132. What is the closest to u in t, 1, 3? 1 Let j = 81 - 79. What is the closest to 1/3 in 0, -1, j? 0 Let u = -213 - -2345/11. What is the nearest to u in -4, 5, 2/3? 2/3 Suppose 0 = 5*v + 10, -v - 5 = b + v. Let o = 2 + b. What is the closest to -0.01 in -2/5, 0.4, o? -2/5 Let c = 51 + -58.3. Let i = 13.2 + c. Let d = 6 - i. What is the closest to d in 4, -0.4, -4? -0.4 Let g(q) = -4*q - 20. Let r be g(-5). Which is the nearest to 1? (a) r (b) -0.5 (c) 4 a Let h = -49 - -48.98. What is the closest to 0 in -1/3, 0, h? 0 Let o be (5/3)/(1/6). Let k be ((-6)/15)/(1/o). Let a be (1/(-4))/((-9)/8). What is the closest to -1 in k, a, -1/9? -1/9 Let j(m) = -m - 6. Let z be j(-9). Let h = 1 - -4. Let n = 0.02 - 0.02. What is the closest to n in -2/15, h, z? -2/15 Let i = 1.6 - 0.6. Let k = 3.8 - -1.2. Which is the nearest to i? (a) -0.4 (b) 2/5 (c) k b Suppose -13 = -d - 0*d. Suppose 0 = l + d - 10. What is the nearest to 1/2 in 2/5, 0.5, l? 0.5 Let f = 5 - 5.2. What is the nearest to 2 in 0, f, 1/2? 1/2 Let m = -0.2 + -0.3. Suppose -7 = 3*d + d - 3*y, -d = 5*y - 27. Let c be d*(1/2 - 0). What is the nearest to c in 0.5, -2/9, m? 0.5 Let w = 5 - 5. Let c = 0.5 + w. Let z(m) = m**3 + 6*m**2 + 5*m + 1. Let i be z(-5). What is the nearest to i in 2/9, c, 4? c Suppose 0 = 4*v + 225 + 111. Let x be 104/v - 12/(-21). Let a = 1 - -2. What is the nearest to x in 0.1, 4, a? 0.1 Let j = 0.15 - 6.15. Let m = j - -4. Let r = 2 + m. What is the nearest to -2/7 in -0.5, r, 3/8? -0.5 Let c = -5.86 + -0.14. Let t = 8 + c. Let v = t + -4. What is the closest to -0.1 in 3/4, -3, v? 3/4 Let g = -16.1 - -16. Which is the nearest to 1? (a) -2 (b) g (c) -0.6 b Let s = -0.17 + -3.83. Which is the closest to 1? (a) -0.5 (b) s (c) 0.1 c Let m be ((-6)/4)/(1 + 2). Let y be 1 + -3 + 2 + 1. Let j = 37 + -42. Which is the nearest to m? (a) -3 (b) y (c) j b Let v = -0.1 - -0.11. Let w = v + -0.01. Let o = -0.5 - w. Which is the closest to 1? (a) 0.4 (b) -4 (c) o a Let m = 136/3 + -45. Which is the closest to -4? (a) 4 (b) m (c) -2 c Let x be 12 + (1 - 4) + 3. Suppose -2*k = 3*m - x, 3*k - 2*m - 1 = 2*m. What is the closest to 0 in 1, -1/8, k? -1/8 Let t = -1.2 - -1.2. Let h = 12 + -17. Which is the closest to 1? (a) h (b) 0.5 (c) t b Let p = 97 - 96.7. Suppose -4*m + 4 = -0*m. Let o be (m - 0) + (-6)/9. Which is the closest to o? (a) -1 (b) p (c) -0.3 b Let c be (-24)/36*1/(-2). What is the closest to -1 in 0.4, -2, c? -2 Let j = -0.36 + -0.04. Let q = -3.46 +
{ "pile_set_name": "DM Mathematics" }
*2 + 1. Let s be c(k). Let r be o(s). Round r to the nearest ten thousand. 140000 Let c = -9238085.30000015 + 9238085. Let l = c + 0.3. What is l rounded to 7 decimal places? -0.0000002 Let f = 278319013.341 - -96485.659. Let t = f - 278415500.19999973. Let c = t + 1.2. What is c rounded to 7 dps? 0.0000003 Let u = -24 - 6. Let i be 176/(-6)*u/(-4). Round i to the nearest 10. -220 Let a(f) = -f**2 + 5*f - 3. Let p be a(2). Let u be ((-400)/p)/((-2)/(-6)). Round u to the nearest one hundred. -400 Let b = 51620 + 52380. What is b rounded to the nearest ten thousand? 100000 Let x = 14.99999984 + -15. What is x rounded to 7 dps? -0.0000002 Let f = 6.6 + -7. Let p = 0.2 - f. Let y = p + -0.60000025. What is y rounded to seven dps? -0.0000003 Let m = -4733856214.0672510646 - 0.9327489354. Let k = m - -4733856255.00000039. Let p = -40 + k. What is p rounded to seven decimal places? 0.0000004 Let f = -6 + 6.08. Let u = -113 - -113.084. Let i = f - u. Round i to three decimal places. -0.004 Let b(y) = 455*y**3 - 3*y + 4. Let h be b(-3). Let z = h + 5072. Round z to the nearest 1000. -7000 Let g = -134 + 320. Round g to the nearest 10. 190 Let g(u) = 75556*u**2 - 4. Suppose -1 = -3*k + 8. Let y be g(k). Round y to the nearest one hundred thousand. 700000 Let o(v) = v**2 - 5*v - 4. Suppose -4*j = -p - 6 - 4, 0 = p - 5*j + 14. Let q be o(p). Let g(s) = -5800*s. Let u be g(q). Round u to the nearest one thousand. -12000 Let n = -143 + 110. Round n to the nearest ten. -30 Let u(q) = -262504*q**2 - 2*q + 2. Let k be u(-2). Let l be k/35 + 4/14. What is l rounded to the nearest ten thousand? -30000 Suppose v - w + 3*w = -11, -5*w + 40 = -5*v. Let a = -5 - v. Suppose -a*l + 8*l = 324. Round l to the nearest ten. 80 Let m = -18028.79061 - -18107.205. Let a = m + -75.6143995. Let g = 2.8 - a. Round g to six decimal places. 0.00001 Let j = 0.01 - 3.01. Let n = 0 - j. Let u = 3.00000008 - n. What is u rounded to seven dps? 0.0000001 Let l(s) = s**2 + 6*s - 6. Let v be l(-7). Let k be 100*94*v*-5. What is k rounded to the nearest 10000? -50000 Let r = -3.201 - -3.03. Round r to two dps. -0.17 Let c = -44.462 - -0.262. Let q = c + 41. Round q to the nearest integer. -3 Let j = -31 + 31.515. Round j to two decimal places. 0.52 Let l(r) be the second derivative of 1/2*r**3 + 3*r**2 - 2*r + 0 - 1/3*r**4. Let t be l(6). What is t rounded to the nearest 100? -100 Let w = -393559507286.699855 - -393560365584. Let x = w - 858304. Let n = x - -6.7. What is n rounded to 5 decimal places? 0.00015 Let v = 3.97 - 4. Let m = -54 + 56.57. Let h = m - v. What is h rounded to the nearest integer? 3 Let b = 266 + -153. Let v = b + -112.999897. What is v rounded to five dps? 0.0001 Let x = 0.63143 + -0.63. Round x to 4 decimal places. 0.0014 Let g = -8.8 + -0.2. Let p = g - 18. Let d = p + 26.12. Round d to 1 decimal place. -0.9 Let p = 0.9 + -0.46. Round p to one dp. 0.4 Let y = 0.266399036 + -1.366398806. Let l = y + 1.1. Round l to 7 decimal places. 0.0000002 Let x = -83 - -82.852. Let j = x + 0.1539. Round j to three decimal places. 0.006 Let a = -15 + 11. Let n = -3.8 - a. Let p = n - 0.20000125. What is p rounded to 7 dps? -0.0000013 Let z = -29.9 + 31.23. What is z rounded to 1 dp? 1.3 Let s = -93 + 18.6. Let w = s + 55. Round w to the nearest integer. -19 Let l be 24/(-9)*(-6)/4. Let k be (-4)/3*330/l. Let y = 0 - k. What is y rounded to the nearest 100? 100 Let c be ((-9)/3 - 6) + 0. Let v = c - -8. Let h(m) = -720000*m**2. Let i be h(v). Round i to the nearest 100000. -700000 Let a = -1.3 + 1.30000011. What is a rounded to seven decimal places? 0.0000001 Suppose 0 = 2*v - 3*c - 4, -4*v = 2*c - 18 - 22. Let l be (-4)/v - (-36800002)/4. What is l rounded to the nearest one million? 9000000 Suppose 2*v - 11304 = r, 5*v + 11290 = -0*r - r. What is r rounded to the nearest 1000? -11000 Suppose 3*i + 3*f + f - 3839984 = 0, -2*i = -3*f - 2560012. What is i rounded to the nearest 100000? 1300000 Let h = -4 - -7. Let y be 7208/(-12) + 2/h. Let o be 0 - 0 - y/1. What is o rounded to the nearest one hundred? 600 Let x = 51 + -33.9. Round x to 0 dps. 17 Let p(x) = x**3 - 4*x**2 - x + 2. Let d be p(4). Let m be -376*((-63)/(-6) - d). Round m to the nearest one thousand. -5000 Let b be 9/3*(-1)/(-1). Suppose 3*p - 771 = b*a, -p - 17 = 3*a + 766. Round a to the nearest one hundred. -300 Let f = -55 + 61.8. Let c = f - 6.799855. What is c rounded to five decimal places? 0.00015 Let m = -650.976 + 672.6. Let p = m + -21. Let s = -0.7 + p. Round s to two dps. -0.08 Let o be (2 - 1 - 0)*3. Let c be 2500*-9*64/o. Round c to the nearest 100000. -500000 Let d(m) = 77*m + 13. Let v be d(11). What is v rounded to the nearest one hundred? 900 Let b = -21.47797204 - -35.47797203. Let s = 14 - b. What is s rounded to seven decimal places? 0 Let j(w) = 3193*w**3 + 2*w**2 - 12*w + 7. Let p be j(11). Round p to the nearest one hundred thousand. 4300000 Let i be -2 + 0/(-2) + 272. What is i rounded to the nearest 100? 300 Let y = 0.3946 + -0.39. Round y to three dps. 0.005 Let y = 138 - 139.14. Round y to one dp. -1.1 Let c = -23828068.0000005 - -23828057. Let q = -11 - c. Round q to six dps. 0.000001 Let f = -2655.87 - -2668. Let q = -11.5 + f. What is q rounded to 1 decimal place? 0.6 Let y = 0.2599404 + -0.26. Round y to five decimal places. -0.00006 Suppose 16200000 = q + 5*q. What is q rounded to the nearest one million? 3000000 Let p be (-3)/(-1)*1294942 - 1. Let a = 215175 + p. What is a rounded to the nearest 1000000? 4000000 Let h = 137 + -136.692. What is h rounded to two dps? 0.31 Let y(u) be the first derivative of 999998*u**3/3 + 2*u**2 + 2. Let c be y(2). Round c to the nearest one million. 4000000 Let s = -16 - -9. Let d = s + 7.2. Let t = -0.20005 + d. What is t rounded to 5 dps? -0.00005 Suppose 2*g - g = 2. Let w be (-20748 - g)*(-6 - 2). What is w rounded to the nearest 10000? 170000 Let u(x) be the second derivative of 8101*x**5/20 - x**4/6 + x**2/2 - x. Let l be (-1 - 1)*2/(-4). Let q be u(l). What is q rounded to the nearest 1000? 8000 Let j = 0.106 + -0.105812. What is j rounded to 5 decimal places? 0.00019 Let g = -5260.7 - -5261.32057. Let z = g + -0.62. What is z rounded to four dps? 0.0006 Let f = 14.91941297 + 0.08055903. Let w = -1 + -14. Let y = f + w. Round y to five dps. -0.00003 Let f = -22 - -21.977. Round f to 2 dps. -0.02 Let q = -6.13 - -0.13. Let u = -1045 - -1051.008. Let r = q + u. What is r rounded to three decimal places? 0.008 Let b = 0.16 - 2.66. Let u = b - 0.1. Round u to zero decimal places. -3 Suppose 3*u = -3, 78213 = -b + 5*u - 144208. Let m = -852426 - b. Round m to the nearest one hundred thousand. -600000 Let b(f) = f**3 - f**2 - 3*f + 12. Let c(i) = i + 1. Let y(q) = -b(q) - 2*c(q). Let x be y(0). Let h be 4/x + (-10)/(-35). Round h to the nearest 10000. 0 Let p = 0.35 - 55.35. Let a = p - -121. Let w = a - 65.99961. What is w rounded to 4 dps? 0.0004 Suppose -87 = 3*b - 3*m, 7*m - 4*m = 2*b + 56. What is b rounded to the nearest 10? -30 Let l = -141.33 + 0.33. Let z = l + 141.00063. What is z rounded to four decimal places? 0.0006 Let c = 30 + 21. Let i = c + -36. Let r = 14.99991 - i. Round r to 5 decimal places. -0.00009 Let r = -0.331 + 0.35. Let s = -0.247 + r. Round s to two dps. -0.23 Let w = 11.54 - 12. Let t = w + 0.01. What is t rounded to 1 dp? -0.5 Let r = -1.71 - -1.7100146. Round r to five decimal places. 0.00001 Let k(u) = u**3 + 16*u**2 + 6*u - 24. Let z be k(-32). Round z to the nearest one thousand. -17000 Let o = 366 - 365.396. Let d = -0.6 + o. Round d to 3 dps. 0.004 Let t = -1.75 + 1.74887. What is t rounded to four dps? -0.0011 Suppose -4*t - 15 = t, 2*q + 5*t + 31 = 0. Let c be (q - -5)*(-30200000)/6. Round c to the nearest one million. 15000000 Let r = -0.89934 - -0.9. Round r to three dps. 0.001 Let f = -11.4871 + -4.5035. Let w = 16 + f. What is w rounded to three decimal places? 0.009 Let z = -0.8 - 3.2. Let o = -4.08 - z. Let c = -0.08000095 - o. Round c to 7 dps. -0.000001 Suppose 4*y = -0*a - 5*a + 6, 0 = -5*y - 5. Let t(d) = 4*d - 2*d + d**2 - 2 - 12*d**a. Let m be t(-6). Round m to the nearest 100. -400 Let b(v) be the second derivative of v**4/12 + v**3/6 + 4*v. Let j be b(-2). What is j rounded to the nearest in
{ "pile_set_name": "DM Mathematics" }
0. What is q? -1, 0 Let -4*g**2 + 500/3*g - 328/3 = 0. Calculate g. 2/3, 41 Let y = -52 + 54. Let b(g) be the first derivative of -4 + 3*g**y - 1/2*g**3 - 6*g. Suppose b(d) = 0. What is d? 2 Let t(l) be the third derivative of -l**6/360 + l**5/30 + 5*l**4/24 - l**3/3 + 10*l**2. Let s(u) be the first derivative of t(u). Factor s(x). -(x - 5)*(x + 1) Factor 81/4*s**2 - 2187/8*s - 3/8*s**3 + 0. -3*s*(s - 27)**2/8 Suppose s - o + 322 = 0, 0 = -3*s + o - 377 - 597. Let v = 2286/7 + s. Let -v - 2/7*f + 2/7*f**2 = 0. Calculate f. -1, 2 Suppose -t = d, 7 = 5*t + 22. Let -2/5*u**d - 4/5 - 8/5*u**2 - 2*u = 0. Calculate u. -2, -1 Let y(z) be the first derivative of 27/2*z**2 + 3*z**3 + 2*z + 1/4*z**4 - 11. Let u(c) be the first derivative of y(c). Factor u(i). 3*(i + 3)**2 Let o = 2267/4518 - 4/2259. Suppose 17*g**4 + 65/4*g**2 + o + 19/4*g + 25*g**3 + 4*g**5 = 0. Calculate g. -2, -1, -1/2, -1/4 Let u(p) be the first derivative of 0*p + 6*p**2 + 3 + 1/15*p**5 + 0*p**3 - 1/2*p**4. Let f(k) be the second derivative of u(k). Suppose f(s) = 0. What is s? 0, 3 Let t be (5 + 597/(-120))/(9/12). Let s(p) be the first derivative of 0*p + t*p**5 + 7 + 1/12*p**2 + 1/8*p**4 + 1/6*p**3. Factor s(b). b*(b + 1)**3/6 Let w(o) = -o**2 + 4. Let a(n) be the first derivative of -2*n**3/3 + 9*n - 4. Let u(s) = 3*a(s) - 7*w(s). Factor u(k). (k - 1)*(k + 1) Let q(r) be the third derivative of -r**9/72576 - 11*r**8/60480 - r**7/3780 + 11*r**5/30 + 3*r**2. Let f(s) be the third derivative of q(s). Factor f(d). -d*(d + 4)*(5*d + 2)/6 Let d be (-3)/(-9)*7/(56/16). Let z(v) be the second derivative of 1/21*v**7 - 3/10*v**5 + 4/3*v**3 + 2/15*v**6 - d*v**4 + 0*v**2 + 7*v + 0. Factor z(t). 2*t*(t - 1)**2*(t + 2)**2 Suppose 0 = 5*w - 9 - 1. Suppose -w*j + 12 = -j. What is k in -52*k**2 - j + 55*k**2 + 3 - 6*k = 0? -1, 3 Let g(l) be the third derivative of -l**6/120 - l**5/60 + l**4/12 - 146*l**2. Factor g(f). -f*(f - 1)*(f + 2) Let k(o) = o**2 - 7*o + 17. Let r be k(4). Suppose 3 = 2*n - r. Factor 0*u**2 - 1/2*u**5 + 0*u**n + u**3 + 0 - 1/2*u. -u*(u - 1)**2*(u + 1)**2/2 Let p be (-19 - -27)*((-2)/12)/(34/(-51)). Factor -1/2*z**3 + 0 + z**p + 0*z - 1/2*z**4. -z**2*(z - 1)*(z + 2)/2 Suppose -22*q = -14*q + 376. Let l = q - -49. Factor 0*r**l - 1/2 + 1/2*r**4 + r - r**3. (r - 1)**3*(r + 1)/2 Solve 24 + 290*k**3 - 16*k - 2*k**2 - 146*k**3 - 142*k**3 = 0. -3, 2 Suppose 118*k - 115*k - 6 = 0. Determine z, given that z**3 - k*z**3 + 6*z**2 - 3*z**2 - 2*z = 0. 0, 1, 2 Find d, given that 161*d**2 + 464*d**2 - 453*d + 15 + 653*d + 1 = 0. -4/25 Let i = -1681/7 - -8433/35. Let -76/5*t**4 + 8/5 + 124/5*t**3 + 16/5*t**5 + i*t - 76/5*t**2 = 0. What is t? -1/4, 1, 2 Suppose 0 = 207*w - 229*w + 44. Let k(j) be the second derivative of -1/21*j**3 + 0*j**w + 0 + j - 1/70*j**5 - 1/21*j**4. Factor k(o). -2*o*(o + 1)**2/7 Suppose -75*h**2 + 10*h**4 + 1474*h**3 - 36*h - 1518*h**3 - 15*h**2 = 0. Calculate h. -1, -3/5, 0, 6 Let p(j) be the first derivative of -j**4/20 + 7*j**3/15 - 2*j**2/5 - 12*j/5 - 558. Factor p(f). -(f - 6)*(f - 2)*(f + 1)/5 Let b(q) = q + 16. Let j be b(-6). Let p(i) = i**3 - 14*i**2 + 12*i + 18. Let x be p(13). What is w in -x + 10 + w**2 + j*w + 1 + 19 = 0? -5 What is o in -3/8*o + 9/4 - 3/8*o**2 = 0? -3, 2 Let j(l) = l**2 + 12*l + 34. Let v be j(-8). Factor 3 + 2 - 22*z**v - 36*z - 17*z**2 - 18*z**3 - 17 - 3*z**4. -3*(z + 1)**2*(z + 2)**2 Let o(n) be the second derivative of 7*n**5/20 - 3*n**4/4 + n**3/3 - 3*n - 12. Suppose o(u) = 0. What is u? 0, 2/7, 1 Suppose 5*z + 3*q + 87 = 0, -2*q - 54 = 4*z + 14. Let k(u) = 4*u**2 - 23*u + 3. Let j(a) = -a**2 - 1. Let s(t) = z*j(t) + 5*k(t). Factor s(h). 5*(h - 3)*(7*h - 2) Suppose 0 = 98*y - 103*y + 15. Let u(z) be the third derivative of 1/84*z**4 + 0 + 0*z**y + z**2 - 1/210*z**5 + 0*z. Factor u(f). -2*f*(f - 1)/7 Let w(v) = 2*v - 8. Let l be w(7). Factor -2*j**2 + 15 - 10*j - l*j**2 + 5*j**2 - 2*j**2. -5*(j - 1)*(j + 3) Let a = 58 - 54. Find c such that 10*c**3 - 16*c**2 + 363*c**a + c**2 - 358*c**4 = 0. -3, 0, 1 Factor -26/11*f - 28/11 + 2/11*f**2. 2*(f - 14)*(f + 1)/11 Let f(o) = -9*o**4 + 2*o**3 - 2*o**2 - o. Let c(q) = -2*q**4 + q**3 - q**2. Let g(k) = 10*c(k) - 2*f(k). Solve g(h) = 0. 0, 1 Let -3/2*s**3 - 15/2*s**2 - 54 + 48*s = 0. Calculate s. -9, 2 Let g = -3388/3 + 1134. Suppose 0*u + 10/3*u**3 + g*u**4 + 0 - 4/3*u**2 = 0. What is u? -1, 0, 2/7 Let v(t) be the third derivative of -t**7/14 - 7*t**6/12 - 7*t**5/12 + 5*t**4/6 + 10*t**2 - 1. Factor v(q). -5*q*(q + 1)*(q + 4)*(3*q - 1) Suppose 3*j - 2*j = 1. Let p(c) = -c**4 - c**5 + 0*c**4 + 0*c**4. Let k(w) = w**5 - 4*w**4 - 13*w**3 - 12*w**2 - 4*w. Let f(i) = j*k(i) + 2*p(i). Factor f(l). -l*(l + 1)**2*(l + 2)**2 Let j(b) be the first derivative of -5/3*b**3 - 15*b - 25/2*b**2 - 6 + 5/4*b**4. Determine y so that j(y) = 0. -1, 3 Factor -2/11*a**3 + 0 + 8/11*a + 0*a**2. -2*a*(a - 2)*(a + 2)/11 Suppose -14*j + 15 = -188 - 7. Let -75 - 3/4*p**2 + j*p = 0. Calculate p. 10 Let d be 2 + 32/(-24)*(-6)/4. Let w(z) be the second derivative of 0*z**3 + 0 - 2/5*z**2 + 0*z**5 - d*z + 2/15*z**4 - 2/75*z**6. Solve w(m) = 0. -1, 1 Let d(t) be the first derivative of t**6/50 - 9*t**5/50 + t**4/20 + 12*t**3/5 + 24*t**2/5 + 8*t + 13. Let s(j) be the first derivative of d(j). Factor s(g). 3*(g - 4)**2*(g + 1)**2/5 Let d(h) be the first derivative of h**3/9 - 19*h**2/3 - 13*h - 141. Determine j so that d(j) = 0. -1, 39 Let l = 805/12 - 775/12. Factor -3/2*a**3 - l*a + 7/2*a**2 + 1/2. -(a - 1)**2*(3*a - 1)/2 Suppose 0 = -2*h - 5 - 5. Let a be h*6/(-45)*3. Factor 1/2*s**3 - 4 - a*s + s**2. (s - 2)*(s + 2)**2/2 Let x(i) be the first derivative of -i**5/5 + i**4/4 - 11. Suppose x(k) = 0. What is k? 0, 1 Let j(u) be the second derivative of 1/3*u**3 - 5/2*u**2 + 17*u - 1/60*u**4 + 0. Factor j(t). -(t - 5)**2/5 Suppose 157*d + 172 = 643. Factor 7/4*b**4 + 4*b + 1/4*b**5 + 25/4*b**2 + 19/4*b**d + 1. (b + 1)**3*(b + 2)**2/4 Let h(y) be the first derivative of -1/2*y**3 + 3/10*y**5 - 7 + 3/2*y**2 - 3/4*y**4 + 0*y. Factor h(s). 3*s*(s - 2)*(s - 1)*(s + 1)/2 Let m(b) be the first derivative of b**2 + 11 + 2/3*b**3 - 4*b. Factor m(g). 2*(g - 1)*(g + 2) What is l in 236/9*l + 0 - 8/9*l**2 = 0? 0, 59/2 Let s = 1/1594 + 397/2391. Let 0 + 1/3*m + 1/2*m**4 - 1/6*m**5 - s*m**3 - 1/2*m**2 = 0. Calculate m. -1, 0, 1, 2 Let x(s) be the first derivative of -s**4/28 - s**3/21 + 6*s**2/7 - 111. Let x(k) = 0. What is k? -4, 0, 3 Let v(h) be the second derivative of h**7/42 + h**6/30 - 3*h**5/2 + 37*h**4/6 - 67*h**3/6 + 21*h**2/2 - 110*h. Factor v(i). (i - 3)*(i - 1)**3*(i + 7) Let b(p) = 16*p**5 - 19*p**3 + 7*p**2 + 13*p - 17. Let j(r) = 23*r**5 - 29*r**3 + 11*r**2 + 20*r - 25. Let s(o) = -7*b(o) + 5*j(o). Factor s(a). 3*(a - 1)**3*(a + 1)*(a + 2) Solve 1/2*s + 3/2*s**2 - 1/2*s**3 - 3/2 = 0. -1, 1, 3 Let m(u) be the third derivative of -u**6/480 - u**5/48 + u**4/96 + 5*u**3/24 + 13*u**2 + 2. Factor m(x). -(x - 1)*(x + 1)*(x + 5)/4 Let h be 2/((-6)/72*-8). Let v(t) be the first derivative of 3 - 3/2*t**2 + 2*t + 1/3*t**h. Find a such that v(a) = 0. 1, 2 Let r be (-1)/(-5) - 38/(-10). Let y(k) be the first derivative of 0*k**r + 0*k**2 + 0*k**3 - 1 + 3/5*k**5 + 0*k + 1/2*k**6. Factor y(v). 3*v**4*(v + 1) Let k(f) = 2*f**2 - 6. Let t be k(-2). Solve -2*r**3 - 4*r**2 + t + 2*r**5 + 2*r - 6*r**3 + 2*r**4 + 4*r**3 = 0 for r. -1, 1 Let b(o) be the first derivative of -1/5*o**2 - 12 + 2/15*o**3 - 4/5*o. Suppose b(z) = 0. What is z? -1, 2 Let j be (-12)/5*(-22)/(8 + 58). Factor -8/5*b**3 + 0*b**4 + 0 + j*b + 0*b**2 + 4/5*b**5. 4*b*(b - 1)**2*(b + 1)**2/5 Let h(k) = -k**3 - 21*k**2 - 30*k - 1. Let z(m) be the first derivative of -m**4/4 - 11*m**3/3 - 15*m**2/2 - m - 25. Let u(t) = 4*h(t) - 9*z(t). Factor u(y). 5*(y + 1)**3 Let t = -4348/5 + 870. Let -2/5*r**2 + 0*r - 4/5*r**3 - t*r**4 + 0 = 0. Calculate r. -1, 0 Suppose 0 - 2/3*j**2 - 2/3*j**5 + 2/3*j**3 + 2/3*j**4 + 0*j = 0. Calculate j. -1, 0, 1 Let i(s) be the third derivative of s**6/120 + s**5/15 - 25*s**4/24 - 14*s**3/3 - 130*s**2. Find m such that i(m) = 0. -7, -1, 4 Suppose 27*y = y + 9646. Let w = 1115/3 - y. Factor 8/3 + 0*u - 2*u**2 - w*u**3. -2*(u - 1)*(u + 2)**2/3 Suppose 25*w = 29*w - 68. Factor 5*d**3 + d - 36*d + 0*d + w + 13. 5*(d - 2)*(d - 1)*(d + 3) Suppose 73*w - 6
{ "pile_set_name": "DM Mathematics" }
2987*n - 766931 wrt n? -22530*b - 2987 Find the third derivative of -7523*z**6 - 916*z**4 + 3*z**3 + z**2 + 6371931*z wrt z. -902760*z**3 - 21984*z + 18 Differentiate -6*u*x + 203089*u - 10571*x**4 + 5*x**2 + 21 wrt x. -6*u - 42284*x**3 + 10*x What is the first derivative of 267*p**3 + 144*p**2 + 1894*p - 474391260? 801*p**2 + 288*p + 1894 What is the derivative of -78083916*b - 62599601 wrt b? -78083916 Differentiate -10*p**2 - 2*p*y**2 + 1784*p*y - 40*p - 22518301*y**2 with respect to p. -20*p - 2*y**2 + 1784*y - 40 What is the third derivative of 22896*d*s**3 - 799*d*s + 2*d - 3796*s**3 - 11*s**2 + 3766*s wrt s? 137376*d - 22776 Find the second derivative of -6*t**2*x**3 + 623*t**2*x - 369*t**2 - 10*t*x**3 - t*x + 13*x**3 - 3557 wrt t. -12*x**3 + 1246*x - 738 What is the derivative of 1259110309*z - 579161102 wrt z? 1259110309 What is the derivative of -37332448*c + 43315824? -37332448 Find the second derivative of 10129107*b**2*k**4 + 77998*b**2*k + 2*k**4 - 63*k wrt k. 121549284*b**2*k**2 + 24*k**2 Differentiate 238715*p**4 + 2*p**2 + 56*p + 40007418. 954860*p**3 + 4*p + 56 Find the first derivative of 391328814*b**2*j - 143224904*j wrt b. 782657628*b*j What is the first derivative of 13326*g*n*q**2 + 4775*g*n*q - 2*n*q**2 - 7523*n*q + 610*q**2 wrt g? 13326*n*q**2 + 4775*n*q What is the third derivative of 56885263*w**3*z - 13387201*w**2*z - 3*w*z wrt w? 341311578*z Find the second derivative of x**4 + 4*x**3 + 2545500*x**2 + 12616997*x wrt x. 12*x**2 + 24*x + 5091000 What is the third derivative of -126948217*m**3 + 251263340*m**2 wrt m? -761689302 What is the third derivative of -21214653*f**3 + 262246396*f**2? -127287918 Find the third derivative of -1004798622*h**6 - 5509*h**2 - 125189*h wrt h. -120575834640*h**3 What is the derivative of 3*j**2*x + 33171495*j*x**3 + 44986572*x**3 + 4 wrt j? 6*j*x + 33171495*x**3 What is the derivative of 14143*a**3 + 6*a**2 - 73*a + 2505181 wrt a? 42429*a**2 + 12*a - 73 What is the second derivative of 23791158*x**2 - 23*x - 161566 wrt x? 47582316 What is the third derivative of 33984*w**6 + 414*w**3 + 72*w**2 - 6884 wrt w? 4078080*w**3 + 2484 What is the second derivative of -18562307*i**3 + 15037864*i wrt i? -111373842*i What is the third derivative of 60748128*k*n**3 + 2*k*n**2 - k*n - 6*k - 140*n**2 - 1601 wrt n? 364488768*k Differentiate -88948698*h**2*x + 11451000*x wrt h. -177897396*h*x Find the third derivative of -81709644*r**6 - 427719*r**2 + 2*r + 94. -9805157280*r**3 Find the third derivative of f**5 - 31787*f**4 + 4*f**3 + 36392820*f**2. 60*f**2 - 762888*f + 24 Find the third derivative of 152*l*m**4 + 11*l*m**2 - 87*l*m + 7*l + 6*m**5 - m**2 wrt m. 3648*l*m + 360*m**2 Find the second derivative of 7206*g**5 + 100*g**4 + 2*g**3 - 34491215*g - 1. 144120*g**3 + 1200*g**2 + 12*g Find the third derivative of 883727767*c**3*j - 3*c**2*j + 2*c**2 - 3*c*j + 3*c + 126*j + 391 wrt c. 5302366602*j What is the second derivative of 4921392*w**5 - 15829753*w? 98427840*w**3 What is the second derivative of 127851658*m**3 + 3768*m - 38895 wrt m? 767109948*m What is the first derivative of 11317*i**2*v + 1908*i*v + 156*v - 55 wrt i? 22634*i*v + 1908*v Find the second derivative of -42974060*l**3 + 3*l**2 - 130691841*l. -257844360*l + 6 What is the third derivative of -p**6 + 5306507*p**5 - 33045451*p**2? -120*p**3 + 318390420*p**2 Find the second derivative of -27*j*p**3 + 2*j*p + 6513*j + 40073*p**3 + 4*p**2 - p + 667 wrt p. -162*j*p + 240438*p + 8 What is the second derivative of 5*r**5 + 12456*r**4 + 2014521*r? 100*r**3 + 149472*r**2 Find the second derivative of -529562943*y**2 - 1069035983*y. -1059125886 What is the second derivative of -4847*j**2*p**2 - 3834*j**2 + 37206*j*p**2 - 2*j + 53*p**2 wrt j? -9694*p**2 - 7668 What is the third derivative of 9289784*c**4*d - 2*c**2*d - c**2 - 147*c*d + 1356*d + 1 wrt c? 222954816*c*d Differentiate 2*x**3 + 14495*x**2 - 16*x - 7083050. 6*x**2 + 28990*x - 16 Differentiate 53102*x**4 + 2539*x**2 + 739026999 wrt x. 212408*x**3 + 5078*x What is the third derivative of -2081407*b*k**4 - 20*b*k**3*o**3 + b*k**2*o**3 - 4*b*k*o**2 - 1044*b*k + 2*b*o**3 - b*o + 4*k**2 + 12*k*o**3 wrt k? -49953768*b*k - 120*b*o**3 What is the derivative of 77918935*v**4 + 156525325? 311675740*v**3 What is the second derivative of 748*l**3 - 122750*l**2 - 468756793*l? 4488*l - 245500 What is the second derivative of 922907*h**2 - 5337*h - 839 wrt h? 1845814 What is the first derivative of -37145985*k**3 - k + 99457696? -111437955*k**2 - 1 What is the second derivative of -2*f**2*h**2 + 7593*f**2*h + 59*f**2 + 46*f*h**2 + 130024 wrt f? -4*h**2 + 15186*h + 118 Find the second derivative of -486175692*i**3 + 402970520*i. -2917054152*i Find the third derivative of 127654663*y**3 - 302190232*y**2 wrt y. 765927978 What is the derivative of -13244*h**2 + 429*h + 3388228 wrt h? -26488*h + 429 What is the derivative of -7482362*k + 4836074 wrt k? -7482362 What is the third derivative of 3*a**4*i**3 - 3*a**3*i**3 + 15374*a**3*i + 15*a**2*i - 1995794*i**3 wrt a? 72*a*i**3 - 18*i**3 + 92244*i What is the third derivative of -155731835*s**6 + 1013*s**2 - 3*s - 20893 wrt s? -18687820200*s**3 What is the first derivative of -78722825*k*n**4 - 1254411617*k wrt n? -314891300*k*n**3 What is the second derivative of 27043704*f**3 + 2*f - 36491427 wrt f? 162262224*f What is the third derivative of 125134308*q**4 - 2093*q**2 - 119*q + 18? 3003223392*q What is the second derivative of 61*i**3 + 468886*i**2 - 88*i - 64325 wrt i? 366*i + 937772 What is the second derivative of -236258*t**4 - 2*t**3 - 22043*t + 135 wrt t? -2835096*t**2 - 12*t Find the second derivative of 88*s**5 - 6*s**3 - 3968*s**2 + 150428644*s. 1760*s**3 - 36*s - 7936 What is the first derivative of -1111*j**2 + 1944*j + 1710496? -2222*j + 1944 Find the third derivative of 13771375*m**4 - 11015861*m**2 wrt m. 330513000*m Find the third derivative of 4981*g**5 + 33360*g**4 - 12*g**2 - 430139*g wrt g. 298860*g**2 + 800640*g What is the derivative of -32*k**2*s - 81*k**2 - 4*k*n + 3*k + 10*n*s - 2190*s - 20654 wrt s? -32*k**2 + 10*n - 2190 Find the first derivative of -38598697*w**4 - 19060576 wrt w. -154394788*w**3 What is the first derivative of -4*m*p*x + 20*m*p - 957057*p*x + 2994*p - 23 wrt x? -4*m*p - 957057*p Find the second derivative of -500191*w**3 - 101*w**2 - 111870177*w. -3001146*w - 202 Find the first derivative of -18291727*b**2 - 1060800. -36583454*b Differentiate -35892122*n*x + 318762*x + 10 with respect to n. -35892122*x Find the first derivative of 152312429*s**2 + 18672044. 304624858*s What is the second derivative of 111994*n**3 - 3*n**2 - 418*n - 31637? 671964*n - 6 What is the derivative of 4*x**3 + 12950256*x - 19523645? 12*x**2 + 12950256 What is the derivative of -981912*l**4 + 11060154 wrt l? -3927648*l**3 Find the first derivative of 766*t*y**2 - 745*t*y - 1609671*t + 29 wrt y. 1532*t*y - 745*t What is the third derivative of 45208728*b**5 + 53108261*b**2 wrt b? 2712523680*b**2 What is the second derivative of -8372927*i**3 + 8111003*i wrt i? -50237562*i Find the first derivative of 888677856*w**2 - 744102647. 1777355712*w What is the third derivative of 62823392*c**4 - c**2 - 59723789*c wrt c? 1507761408*c Find the third derivative of 5219979*i**3*p**3 + i**3*p**2 + 352600*i**2 wrt p. 31319874*i**3 What is the third derivative of 282670696*s**4 + 6856*s**2 + 2783? 6784096704*s Find the first derivative of -473*a*j + 20*a*k + 41*a + j*k + 26*j - 5*k + 4458 wrt a. -473*j + 20*k + 41 Find the second derivative of -6530148*a**2 - 4*a - 637678. -13060296 Find the first derivative of 833956454*k**2 - 7133862. 1667912908*k Find the second derivative of -230092182*u**4 - 34608*u - 1622 wrt u. -2761106184*u**2 Find the third derivative of -140816066*d**5 + 34*d**2 + 4762*d - 67 wrt d. -8448963960*d**2 Differentiate -203946*i*k**2 + 2*i*k - 5*i - k**2 + 3*k - 325299 wrt k. -407892*i*k + 2*i - 2*k + 3 What is the third derivative of -239165*c**3 + 29972561*c**2 wrt c? -1434990 What is the derivative of -4*j**4 + 42898505*j - 653545268? -16*j**3 + 42898505 Find the first derivative of -2*z**3 - 12297312*z**2 - 128278934 wrt z. -6*z**2 - 24594624*z Find the second derivative of -220815*o**3*r*w + 7531*o**3*w**2 + 66*o*
{ "pile_set_name": "DM Mathematics" }
three decimal places? -0.058 Let f = -85.53 - -86.9398. Round f to 0 decimal places. 1 Let c = -13 + 12.44. Let y = -0.588 - c. Let o = 0.027625 + y. What is o rounded to 5 decimal places? -0.00038 Let i = 3966 - 1853. Let a = i + -2151.43. Let m = a - -39. What is m rounded to one decimal place? 0.6 Let j = -622 - -322. Let k = 5373.7 - 5090. Let a = j + k. What is a rounded to 0 decimal places? -16 Let j = -17321722700 + 17321722789.0000006366. Let r = 89 - j. What is r rounded to 7 decimal places? -0.0000006 Let k = -507 + 524. Suppose 0 = 3*p - 2*g + 86362, 4*p - k*g + 115168 = -19*g. Round p to the nearest 1000. -29000 Let p = 22.91148 + -1100409.91148. Let k = p - -1100386.99199941. Let f = k - -0.008. Round f to 7 decimal places. -0.0000006 Let b = -71767.342278 - -71767. Let z = 0.2768 + -0.6198. Let u = b - z. Round u to five decimal places. 0.00072 Suppose 179*y + 163*y + 24764072 + 7001572 = 0. What is y rounded to the nearest one thousand? -93000 Let q = -5968.578001 + -0.121999. Let n = 6543 + q. Let f = n - 603. Round f to 0 dps. -29 Suppose -168 = 5*m + 57. Let u(j) = 4*j**3 - 12*j - 6. Let g be u(0). Let s be (1/((-9)/51600))/(g/m). What is s rounded to the nearest one hundred thousand? 0 Let c(h) = -24*h + 107. Let r(l) = 264*l - 1176. Let b(v) = -32*c(v) - 3*r(v). Let p be b(21). Round p to the nearest one thousand. 0 Let z = 4996 - 12975.1. Round z to the nearest one thousand. -8000 Let j be 78/(-130) - (-400003)/5. Round j to the nearest 1000. 80000 Let p = 3.9 - 3.899985615. What is p rounded to six decimal places? 0.000014 Let k = -17.692 - -0.477. What is k rounded to 0 dps? -17 Let f = 211.999 + -212. Let s = f + 0.001000482. Round s to 7 dps. 0.0000005 Suppose -30*x + 41936 = -14*x. Suppose 8*z - x + 53501 = 0. Round z to the nearest 1000. -6000 Let w(i) = 2*i + 15. Suppose -4*g + 64 = -4*t, 4*g - 2*t - 27 - 27 = 0. Suppose g*f - 15*f = 36. Let v be w(f). What is v rounded to the nearest 10? 0 Let b = -82 + 118. Let r = -31 + b. Suppose r*v = -412221 - 277779. Round v to the nearest 10000. -140000 Suppose -5*m + 16*l - 19*l + 56 = 0, 0 = -3*m - 3*l + 36. Suppose 4*o - 5*o = -5*q - 823, 0 = -5*q + m. Round o to the nearest 10. 830 Suppose 4*y - 4*b + 642000044 = -8*b, -481500038 = 3*y + 4*b. Let s be 7/(105/y) + (-4)/(-10). What is s rounded to the nearest one million? -11000000 Let l = -462758.0889862 + 462917.089. Let x = 159 - l. Round x to 6 dps. -0.000014 Let n(f) = 351*f - 34. Let l(s) = -702*s + 67. Let u(p) = 4*l(p) + 9*n(p). Let z be u(8). Round z to the nearest 100. 2800 Let o = -13082.675333 + 13096.442. Let x = 12.5666648 - o. Let u = x + 1.2. What is u rounded to 7 decimal places? -0.0000022 Let w be ((-6)/24*-2)/(2/40). Suppose -858000 = -w*o - o. Round o to the nearest 100000. 100000 Let s = -824 - -839.808. What is s rounded to one dp? 15.8 Suppose 80*u + 1285438 = -185*u + 78*u. Round u to the nearest ten thousand. -10000 Let m = 0.1376 - -1.1594. Let r = m - 66.677. Round r to the nearest ten. -70 Let p = 1062 + -1062.429. Let g = p - 0.011. Let i = g + -1.8. Round i to the nearest integer. -2 Let a = 10318761 + -7021161. What is a rounded to the nearest ten thousand? 3300000 Let g = 940.039656775 + 159.960345037. Let d = 1100 - g. Round d to 7 dps. -0.0000018 Let n = 82134.25694 + -82135. What is n rounded to 3 decimal places? -0.743 Let g = 1024.2566 + 3.0634. Let v = -1001 + g. What is v rounded to the nearest integer? 26 Let k = -9106 - -9113.478. Let c = -2.4 - 5. Let o = k + c. Round o to two decimal places. 0.08 Suppose -s + 2223554 = -4*k, -30*s = -4*k - 31*s - 2223566. Round k to the nearest 100000. -600000 Let r = -1611 + 878. Let t = r - -733.00000109. What is t rounded to 7 dps? 0.0000011 Let d = -2546 - -2545.9999996137. Round d to seven decimal places. -0.0000004 Let l(w) = -w**3 + 3*w**2 + 13*w - 7. Let z be l(5). Suppose 0 = z*m - 10*m - 32. Let f be 4/(m/(-30))*720. What is f rounded to the nearest 1000? 5000 Let n = -7098.8532 - -6972.78. Let p = n - -126. Round p to three decimal places. -0.073 Let t = 4.329 - 4.329001848. What is t rounded to seven dps? -0.0000018 Let t = -0.9984 + 1.05619. Let k = -6318.9376 - -6319. Let b = t - k. Round b to three decimal places. -0.005 Let b = -73933158 - -73933157.50000143. Let w = 0 + -0.5. Let f = b - w. What is f rounded to seven decimal places? 0.0000014 Let a be 8/(2 - 3014/1509). What is a rounded to the nearest 1000? 3000 Let t = 7650688 - 7650690.0900028. Let m = 2.09 + t. Round m to 5 decimal places. 0 Suppose -1117*h + 12 = -1116*h. Suppose -h*j - 15*j + 1728000 = 0. What is j rounded to the nearest 10000? 60000 Let h = -5544 - -5544.10806. Round h to three decimal places. 0.108 Let q(d) = 670015*d**3 + 18*d**2 - 83*d + 84. Let t be q(4). Round t to the nearest one million. 43000000 Let a = -8.62872891 + 12.10970304. Let y = a - 3.481. What is y rounded to six decimal places? -0.000026 Let k(h) = 2404*h - 784. Let u be k(51). What is u rounded to the nearest ten thousand? 120000 Let g = 0.00510424 - 0.00544. Round g to 5 decimal places. -0.00034 Let v = -14122.99991349 - -14123. What is v rounded to five dps? 0.00009 Let k = -11739 + 11739.00000077228. What is k rounded to 7 dps? 0.0000008 Let f = 102.19 - 108.873. Let n = -8.12 - f. Round n to 1 dp. -1.4 Let h = 545389457.53959870881949066 - 0.63959892881949066. Let t = h + -545389521.9. Let s = -65 - t. What is s rounded to seven dps? 0.0000002 Let d(z) = -43*z + 24. Let f(j) = -41*j + 22. Let l(q) = -5*d(q) + 6*f(q). Let y be l(-4). Round y to the nearest ten. 140 Let p = 95.9 - -14.1. Let r = 108 - p. Let q = r + 5.59. Round q to one dp. 3.6 Suppose -4*o + 196 = -4*d, -d - 61 = -o - 6*d. Let b be (11 - 13)/(6/o). What is b rounded to zero dps? -17 Let n = 14326.995 - 14285. Let p = 112 + -70. Let d = p - n. What is d rounded to 3 dps? 0.005 Let r = -2636.64 - -2542. Round r to the nearest ten. -90 Let u = -259.893 - -274. Round u to zero decimal places. 14 Let q = 15466 - 15466.055432. What is q rounded to 2 decimal places? -0.06 Let i = -60149 - -60145.0461. Round i to 0 dps. -4 Let j = -2116445 + -9797555. What is j rounded to the nearest 100000? -11900000 Let h = -437.69 + 439. Let s = h + -6.93. What is s rounded to zero dps? -6 Let f = 2856324670.406998811 + -2856322028.407. Let h = f + -2642. Round h to 7 decimal places. -0.0000012 Let l = 6860.940432 - 6861. What is l rounded to four decimal places? -0.0596 Let t(h) = -113*h**2 - 46*h - 555. Let f be t(-47). What is f rounded to the nearest ten thousand? -250000 Let z(k) = -226*k + 2076. Let x be z(-50). Round x to the nearest one thousand. 13000 Suppose r + 5*f = -3*r + 36677, 0 = -2*r + f + 18335. Let t = 17369 - r. Round t to the nearest 100. 8200 Let u be (4/6)/(1 + (-28)/36). Suppose u*x + 47733 = -5097. Round x to the nearest 1000. -18000 Let j be ((-5)/(-10))/(-3 - (-34)/12). Let d be ((-4)/6)/(j/5544*-11). What is d rounded to the nearest ten? -110 Let l(x) = 27*x**3 + 24*x**2 - 11*x + 25*x**2 - 65*x**2 - 325*x**3 + 18 + 22*x**2. Let m be l(6). Round m to the nearest 10000. -60000 Let z = 27454 + -27336.049. Round z to the nearest integer. 118 Let l(t) = 32*t + 418. Let i be l(-13). Suppose 4*k + 40280 = 3*u, -i*k - 17643 = -3*u + 2497. Round k to the nearest 1000. -10000 Let x = -84.653 - -83. Let g = x + -0.087. Round g to one decimal place. -1.7 Let d = -313.76 - -456.87. Let w = -143 + d. What is w rounded to two decimal places? 0.11 Let c(d) = -2470002*d + 4. Let f(w) = -9*w - 13. Let t be f(-2). Suppose -v + 4*x + 1 = t*x, -4*v - 2*x = -6. Let r be c(v). Round r to the nearest one million. -5000000 Let c = -0.0229 + -1.6691. Let r = c + 1.67842. What is r rounded to 3 dps? -0.014 Let b be (-1 + (-6 - -7))/3. Suppose b = 3*z + k - 4562, 7594 = 5*z + 8*k - 11*k. Round z to the nearest one hundred. 1500 Let p = -0.2264559 + -1.6135535. Let g = 1.84 + p. Round g to 7 decimal places. -0.0000094 Suppose 2*t - 163 = -b - 0*b, -5*t + b + 411 = 0. Suppose 5*w - t = 8. Let i be (-150)/4*-3*464/w. What is i rounded to the nearest one thousand? 3000 Let h = 369 + 441. Let n = -811.282 + h. Let a = n - -0.082. What is a rounded to 1 dp? -1.2 Let s = -266.59 + 268. Let i = 7.49 + s. Let o = -8.8999957 + i. Round o to si
{ "pile_set_name": "DM Mathematics" }
(a) 8 (b) 2 (c) 4 b What is the closest to 1469 in 0, -4, 25, 0.4? 25 Which is the nearest to 2? (a) 5 (b) 9 (c) 3/2 (d) 2/5 c What is the closest to -2/7 in -421, -7/4, 0, -1/4? -1/4 Which is the closest to 0.291? (a) -2 (b) -8/15 (c) 0 c Which is the closest to 0.06? (a) -0.62 (b) -5 (c) 5 a Which is the closest to 2/3? (a) 3/7 (b) 1 (c) -20.08 a Which is the nearest to 2? (a) 1/6 (b) 3 (c) 14/1907 b Which is the closest to 25? (a) 0.7 (b) -3 (c) -1/3 (d) -4 a Which is the closest to 2/5? (a) -1.1 (b) -8 (c) -5 (d) -1.19 a Which is the closest to -9? (a) -2 (b) -1/6 (c) -1/11 a Which is the closest to -9? (a) 715 (b) 0.09 (c) 0.2 b What is the closest to 1/4 in 36, -0.5, -5, -2/13? -2/13 Which is the nearest to 3/4? (a) 0.5 (b) 3/77 (c) 5 (d) -2/7 a Which is the nearest to -5/3? (a) 8 (b) 0.6 (c) 101 b What is the nearest to -1 in 2, 36, 0, -5, 8? 0 Which is the nearest to 18? (a) -3 (b) -5 (c) 3 (d) -2/29 c What is the nearest to 0 in 1/2, 3, -75, 11, 5? 1/2 What is the closest to 3.3 in 4/85, 2, 4/17, -3/5? 2 Which is the nearest to -1/3? (a) -1/10 (b) -0.478 (c) -0.08 b Which is the closest to -26? (a) -0.1 (b) -19 (c) 9 b Which is the nearest to 1.5? (a) -17 (b) 2 (c) 4 (d) -4 (e) 5/3 e What is the nearest to 10.1 in -32, -5, -2? -2 Which is the closest to 0? (a) 4 (b) -0.2 (c) 50 (d) -307 b Which is the closest to 0? (a) -190 (b) 0.1 (c) -6 b What is the nearest to 7 in -387, 0, 3/5, 0.3, 1? 1 What is the nearest to 1 in 0.5, -3, -2.2, -16/3? 0.5 Which is the nearest to 2/5367? (a) -5 (b) 1/3 (c) -0.5 b Which is the closest to -3? (a) -0.5 (b) 1480 (c) -1 (d) -0.4 (e) 0.02 c What is the nearest to 0.1 in 88, 1/69, 0.07? 0.07 Which is the closest to -2? (a) -4 (b) -3 (c) 2/53 (d) 14/5 b What is the nearest to -0.19 in -2/159, -0.4, 5, -3/4? -2/159 What is the nearest to 0.1 in -1/5, -122, 2/3, 14/13? -1/5 What is the nearest to -53552 in -4, -3/7, 0, -0.4? -4 What is the nearest to 57 in -2, -0.1, 2.1, 5, 1/4? 5 Which is the closest to 1? (a) -15.82 (b) -5 (c) 5 (d) 1/41 d What is the nearest to -0.1 in -4, 0.4, 5, -5, 11529? 0.4 Which is the nearest to -0.2? (a) 2/11 (b) -0.1 (c) -1 (d) 6 (e) -162 b Which is the closest to -0.1? (a) -1 (b) 2/7 (c) 170744 b What is the closest to -1/4 in 5, 0.8, -119, 1? 0.8 Which is the closest to -3/8? (a) 0.2 (b) -5 (c) -3 a Which is the closest to -2/327? (a) -5 (b) 6/13 (c) 1/4 (d) 0.3 (e) -2/13 e What is the closest to -2/19 in 25, -4, -1, 2/5? 2/5 Which is the nearest to -0.1? (a) -5 (b) 323 (c) -0.1 (d) -3 c Which is the nearest to -3? (a) -149/43 (b) -3 (c) -0.3 b What is the closest to -1 in 1.5, 3, -4/105, -2/5, -2/3? -2/3 Which is the nearest to -0.261? (a) -0.5 (b) 1/135 (c) -5 a Which is the closest to 0.1? (a) -34 (b) -0.1 (c) 1.6 (d) 0.08 d What is the nearest to 0.8 in -2/13, -5, 30, -6/13? -2/13 What is the closest to 1 in -0.06, -338/9, -0.4? -0.06 Which is the nearest to 14? (a) -3/2 (b) -4 (c) 0 (d) 3 d Which is the nearest to 0.131? (a) 0 (b) 1.3 (c) -1/2 (d) -1/11 a What is the closest to -33 in 16, 0.5, -1.3? -1.3 What is the nearest to -3 in 4744, -2/9, -5? -5 What is the nearest to 1/3 in 0, 28, 2, 0.3? 0.3 What is the nearest to -1/5 in 142/9, -5, -0.028? -0.028 What is the closest to 1 in 1797, -4, -3/7? -3/7 Which is the closest to 0? (a) 1/2 (b) 0.02 (c) 10 b Which is the closest to -3? (a) -1.69 (b) 1 (c) -0.5 (d) -5 (e) 0.2 a What is the closest to -0.29 in 1, -6/749, 0? -6/749 Which is the nearest to 0? (a) -2/21 (b) 1/2 (c) -74 (d) -6 a What is the nearest to 175 in 3, 4, 8/3, -2? 4 What is the closest to 0 in -5, -6, -5/3, 5751? -5/3 What is the nearest to -1/3 in -6/257, 357, 5, -2? -6/257 What is the nearest to -1/8 in -24/59, 0.3, 4, -0.3, 0.4? -0.3 Which is the nearest to 4? (a) -2 (b) -3 (c) 38 (d) -151 (e) -1 e What is the closest to -3 in 64927, 2, 5? 2 Which is the closest to -0.372? (a) 13/3 (b) -6/5 (c) 0.4 c Which is the closest to -0.02? (a) -0.1 (b) 3/7 (c) 2 (d) 42 (e) 1.5 a What is the closest to 0.1 in -7, 0.3, 5, -7942, -1? 0.3 What is the closest to 0.3259 in 3, -5, -2, 7, 1/4? 1/4 What is the closest to 126.8 in 12, 9, -4, -3/4? 12 Which is the nearest to 1/4? (a) 3 (b) -0.031 (c) -14.1 b Which is the nearest to 0? (a) -0.445 (b) 3 (c) 0.5 a Which is the closest to -27? (a) -0.3 (b) 21 (c) -0.4 c What is the closest to -2/7 in 14, 1/3, -0.4, 3, 395? -0.4 Which is the nearest to -0.54? (a) -2/41 (b) 2 (c) 0.325 a Which is the nearest to -23/3? (a) 2/5 (b) 3 (c) 0.2 (d) 2 (e) -2 e Which is the closest to -305? (a) -5 (b) -269 (c) -6 b What is the nearest to -6 in 0.1, 10, -60, 2/3, 3? 0.1 Which is the nearest to -1? (a) 0.2 (b) 0.2344 (c) -1 (d) 4/3 c What is the closest to -185 in -1, -2/17, 0.449? -1 What is the nearest to 0 in 37, -3, -0.17, -0.1? -0.1 Which is the closest to -2? (a) -48 (b) -19/9 (c) -1/8 (d) 3 b What is the closest to -10 in -6, 0, 31? -6 What is the closest to -0.01186 in -4, -5, 4.7? -4 What is the nearest to -2/5 in 0.5, -5, -3/8? -3/8 Which is the nearest to -7? (a) 10/9 (b) -2/7 (c) -0.09 (d) -2 d Which is the nearest to -12/13? (a) 9/688 (b) 2/11 (c) -2 a Which is the closest to -6.28? (a) -4 (b) -2/17 (c) 5 (d) -14 a What is the nearest to -2/31 in -0.1, 1/3, -12/43? -0.1 Which is the closest to -0.15? (a) 5 (b) -0.0554 (c) -0.6 b Which is the nearest to 0? (a) 5 (b) 0.5 (c) 11586 b Which is the nearest to -1/2? (a) 61 (b) 0.23 (c) -0.01 (d) 0.4 (e) 1/4 c What is the closest to -1 in -0.078, 0.4, -49/6? -0.078 What is the nearest to -1/2 in 0.4, 1, 6, 0.5, -2.707? 0.4 Which is the closest to -0.1? (a) -264 (b) -46 (c) 1/4 c Which is the closest to 1/2? (a) 12 (b) 123 (c) -0.2 (d) 5 c Which is the nearest to -1? (a) -5 (b) -43 (c) 8803 a What is the nearest to -5 in -0.2, 0.5, -2/11, -3, 371? -3 What is the closest to 1/2 in 0.9, 2/13, 31? 2/13 What is the closest to -1/6 in 2, 2/9, 5, 23/5? 2/9 What is the nearest to -0.2 in 332, -0.07, 0.05, 4? -0.07 What is the nearest to -2 in 13.2, -13, -6/7, 4? -6/7 Which is the closest to -1? (a) 3 (b) 3/5 (c) 65/9 (d) 0 d What is the nearest to -0.1 in -2, -0.2, -5.17, 4? -0.2 Which is the closest to -2.1? (a) -0.05 (b) 3/7 (c) -3 (d) -12 c What is the closest to -1/38 in -0.2, 1/9, -0.1, -5, 0.5? -0.1 What is the closest to -2/3 in 32, 0, -4, -2/813? -2/813 What is the closest to 1 in 0.4, -78/25, 28? 0.4 What is the nearest to 4 in 2, -0.1, 3/158? 2 Which is the closest to -29/3? (a) -4/5 (b) -2/21 (c) 1 (d) 2 (e) 0.2 a What is the closest to 304 in 3, 50, 1? 50 Which is the closest to 2/5? (a) -19 (b) -1.1 (c) 0.06 c Which is the nearest to 13? (a) 2/13 (b) -2/5 (c) -1 (d) -18 (e) -0.12 a Which is the nearest to -1/8? (a) 5 (b) 16 (c) 1 (d) 0.5 (e) -1 d What is the closest to 0 in 0.5, -62.4, 1, 5? 0.5 What is the nearest to 0.05348 in 0.067, 1, 2? 0.067 What is the nearest to 2/7 in 1/6, 1/2, 5, -6? 1/6 Which is the nearest to -1/3? (a) -0.1 (b) 5/16 (c) -44/7 (d) 1 a What is the closest to -6 in -0.67, -15, -2, 4, -2/5? -2 What is the closest to -2 in -119, -17/5, 0.5, -0.4? -17/5 What is the nearest to 117 in 0.1, 120, 0.2, 1/4? 120 What is the nearest to 0 in -140/9, -0.1, -0.4, 5? -0.1 What is the nearest to 1/4 in 2/5, 2/11, 2, -4/1169? 2/11 Which is the nearest to -4? (a) 1/13 (b) 3 (c) -2 (d) 0.12 c What is the closest to 0.1 in 1.08, -5, -2/11, -2? -2/11 Which is the nearest to 2/7? (a) 3 (b) 2 (c) 1/6 (d) -5 (e) 4.9 c What is the nearest to -1/4 in 0.12, 5, -5, -44? 0.12 Which is the closest to 15/7? (a) 0.3 (b) -1/7 (c) 8 (d) 0.04 a What is the nearest to -1/6 in -12, -3, -213? -3 What is the nearest to -1 in 0.3, -1, -2/17, 12558? -1 What is the closest to 0.1 in 5, -3, -2/5, 215? -2/5 What is the closest to -0.2 in 287, 0.4, -20? 0.4 Which is the nearest to 2? (a) 0.44 (b) 9 (c) 0 (d) 0.1 (e) -1 a What is the closest to 0.11 in 1/34, 31, -1/4? 1/34 Which is the nearest to -2? (a) 1 (b) -426 (c) 3 a Which is the nearest to 2/5? (a) 2/85 (b) -0.2 (c) -1/55 (d) 0.3 (e) -2/3 d Which is the nearest to -4070? (a) 2/
{ "pile_set_name": "DM Mathematics" }
. Give prob of sequence kl. 1/20 What is prob of sequence jf when two letters picked without replacement from {p: 5, f: 5, n: 1, j: 4, a: 1}? 1/12 Three letters picked without replacement from lxxrjxjxlxxx. What is prob of sequence rjj? 1/660 Two letters picked without replacement from {g: 1, i: 1, n: 9}. Give prob of sequence gn. 9/110 What is prob of sequence tnu when three letters picked without replacement from {u: 2, t: 2, v: 3, n: 4, j: 3, o: 4}? 1/306 Calculate prob of sequence zqz when three letters picked without replacement from {q: 16, z: 4}. 8/285 What is prob of sequence tt when two letters picked without replacement from rkkkdtutzdkr? 1/66 What is prob of sequence galg when four letters picked without replacement from axgalag? 1/140 Two letters picked without replacement from ppppdppddpppppp. Give prob of sequence pd. 6/35 Two letters picked without replacement from {k: 2, t: 4, v: 3, a: 2}. What is prob of sequence tv? 6/55 Calculate prob of sequence slwl when four letters picked without replacement from wwalhwhsuhhhl. 1/2860 Calculate prob of sequence wu when two letters picked without replacement from {w: 6, u: 2}. 3/14 Two letters picked without replacement from hhhepepopeppeevpev. What is prob of sequence eo? 1/51 Calculate prob of sequence fffj when four letters picked without replacement from fffffffffjfnffffj. 13/170 What is prob of sequence cr when two letters picked without replacement from {r: 2, c: 2}? 1/3 Three letters picked without replacement from {z: 3, s: 17}. What is prob of sequence zsz? 17/1140 Calculate prob of sequence kk when two letters picked without replacement from kpkvkppkdp. 2/15 Two letters picked without replacement from {y: 3, j: 2, h: 1, t: 3, b: 1}. What is prob of sequence jj? 1/45 Three letters picked without replacement from {v: 6, y: 1, a: 7}. What is prob of sequence vay? 1/52 Two letters picked without replacement from {m: 2, z: 3, q: 2, v: 9}. What is prob of sequence qm? 1/60 Calculate prob of sequence mhum when four letters picked without replacement from {w: 5, u: 3, x: 2, m: 7, h: 1, v: 2}. 7/6460 Four letters picked without replacement from jjjtjjjjtjt. Give prob of sequence jttt. 1/165 What is prob of sequence xx when two letters picked without replacement from {d: 1, v: 1, x: 2}? 1/6 Three letters picked without replacement from {o: 2, b: 8, s: 2}. Give prob of sequence sbb. 14/165 Three letters picked without replacement from qqqqqqqqpqqqqqqpqqq. What is prob of sequence pqq? 16/171 Three letters picked without replacement from awjlqxl. Give prob of sequence wll. 1/105 Four letters picked without replacement from udiuudui. What is prob of sequence diui? 1/105 Calculate prob of sequence ggp when three letters picked without replacement from pppgg. 1/10 Calculate prob of sequence tfz when three letters picked without replacement from fgffzgt. 1/70 What is prob of sequence ru when two letters picked without replacement from rupururpudp? 6/55 Two letters picked without replacement from hhth. Give prob of sequence ht. 1/4 Four letters picked without replacement from {a: 2, c: 7, g: 3, j: 3}. What is prob of sequence ajja? 1/2730 Calculate prob of sequence qq when two letters picked without replacement from vuuuupqpu. 0 What is prob of sequence bobr when four letters picked without replacement from {r: 4, o: 10, b: 5}? 25/2907 Three letters picked without replacement from {a: 4, h: 7, p: 6}. What is prob of sequence hah? 7/170 Three letters picked without replacement from ncnpnppypuppnnpcg. Give prob of sequence pgy. 7/4080 Calculate prob of sequence mttt when four letters picked without replacement from mmtmmtt. 1/35 Calculate prob of sequence ha when two letters picked without replacement from rraqqryrrrrrrruuhrar. 1/190 Two letters picked without replacement from {f: 3, h: 1}. What is prob of sequence hf? 1/4 Three letters picked without replacement from {j: 2, g: 3, h: 1, u: 1, p: 1, i: 3}. What is prob of sequence ihi? 1/165 Calculate prob of sequence dzb when three letters picked without replacement from dzlbzzlzll. 1/180 What is prob of sequence dd when two letters picked without replacement from {d: 3, b: 13}? 1/40 Two letters picked without replacement from bxcmxpb. What is prob of sequence bm? 1/21 Four letters picked without replacement from evvdjejkq. Give prob of sequence ekjd. 1/756 Four letters picked without replacement from umtsmmsscmmv. What is prob of sequence tmus? 1/792 What is prob of sequence pr when two letters picked without replacement from {p: 3, r: 13}? 13/80 Three letters picked without replacement from {k: 1, u: 1, r: 2, e: 1, d: 1, i: 1}. Give prob of sequence der. 1/105 Calculate prob of sequence ubu when three letters picked without replacement from abubaubaa. 1/84 Calculate prob of sequence el when two letters picked without replacement from {k: 2, l: 5, d: 3, e: 3}. 5/52 Four letters picked without replacement from fwwssuwsqf. What is prob of sequence fquw? 1/840 Three letters picked without replacement from {l: 5, d: 11}. What is prob of sequence ddd? 33/112 Four letters picked without replacement from tlfthtbft. Give prob of sequence lftb. 1/378 Calculate prob of sequence mi when two letters picked without replacement from {o: 1, a: 2, z: 3, m: 4, i: 2}. 2/33 Calculate prob of sequence bu when two letters picked without replacement from {b: 1, o: 10, u: 7}. 7/306 Two letters picked without replacement from {i: 4, t: 5, b: 7}. Give prob of sequence tb. 7/48 Calculate prob of sequence fa when two letters picked without replacement from azzazaarczznnfa. 1/42 Two letters picked without replacement from uuuuuffuuf. Give prob of sequence uu. 7/15 Calculate prob of sequence qwpq when four letters picked without replacement from {q: 2, v: 1, s: 6, d: 1, p: 1, w: 5}. 1/4368 Three letters picked without replacement from {u: 1, k: 3, a: 1, x: 4, h: 2}. Give prob of sequence xau. 2/495 Four letters picked without replacement from xxxxxxxxxx. Give prob of sequence xxxx. 1 Calculate prob of sequence rnnr when four letters picked without replacement from rrrnrrrrrrrnr. 1/78 What is prob of sequence qpj when three letters picked without replacement from pqqpqjpqqjjjqjp? 4/91 Calculate prob of sequence ggr when three letters picked without replacement from rggrg. 1/5 Calculate prob of sequence yy when two letters picked without replacement from aoqqhymy. 1/28 What is prob of sequence wh when two letters picked without replacement from whhhhhwghmgggwhghg? 4/51 Two letters picked without replacement from llllzowwlpzwolowvzo. What is prob of sequence wz? 2/57 Four letters picked without replacement from {g: 3, j: 3, p: 3, i: 3, d: 1, w: 1}. Give prob of sequence idip. 3/4004 Three letters picked without replacement from woonl. What is prob of sequence owl? 1/30 Calculate prob of sequence pr when two letters picked without replacement from {g: 3, r: 2, i: 4, p: 3, f: 6}. 1/51 Three letters picked without replacement from {n: 1, h: 1, z: 4, i: 2, u: 2, y: 2}. Give prob of sequence iuu. 1/330 What is prob of sequence amak when four letters picked without replacement from kakamackaoa? 1/132 Four letters picked without replacement from {g: 3, n: 2, a: 1, c: 1}. Give prob of sequence cggc. 0 What is prob of sequence bab when three letters picked without replacement from hhhhhbhahb? 1/360 Calculate prob of sequence xsxx when four letters picked without replacement from {i: 6, s: 1, x: 4}. 1/330 Calculate prob of sequence fll when three letters picked without replacement from {l: 2, f: 9}. 1/55 Two letters picked without replacement from uuqjsbqbe. Give prob of sequence ue. 1/36 Four letters picked without replacement from {z: 3, i: 1, m: 1, x: 4, g: 5}. What is prob of sequence zgmm? 0 What is prob of sequence ig when two letters picked without replacement from gfiiggigifx? 8/55 What is prob of sequence od when two letters picked without replacement from kohoookdohkohhooho? 1/34 What is prob of sequence uu when two letters picked without replacement from {r: 1, u: 2}? 1/3 Two letters picked without replacement from hrff. What is prob of sequence hf? 1/6 What is prob of sequence lq when two letters picked without replacement from llllqlllllql? 5/33 Two letters picked witho
{ "pile_set_name": "DM Mathematics" }
+ 3*g. Let h(x) be the first derivative of u(x). Find the second derivative of h(a) wrt a. -12*a Suppose 0 = -41*q + 39*q. Let i(r) be the first derivative of 0*r**5 + q*r + 0*r**4 + 2 + 1/2*r**6 + 0*r**2 + 1/3*r**3. Find the third derivative of i(n) wrt n. 180*n**2 Let b = 2 - -1. Find the second derivative of -4*v**b - 4*v + 0*v**2 + 2*v**2 - 2*v**2 wrt v. -24*v Suppose r - 3 = 1. Find the third derivative of 146*p - 146*p - r*p**4 + 3*p**2 wrt p. -96*p Let r(y) = -23*y**6 - 2*y**5 + 2. Let i(v) = -116*v**6 - 11*v**5 - v**2 + 11. Let d(x) = -2*i(x) + 11*r(x). Find the third derivative of d(a) wrt a. -2520*a**3 Let j(c) = -c**2 + 5*c - 2. Let d be j(3). Differentiate 5*b**4 + 5 - 1 - 3 + d with respect to b. 20*b**3 Suppose -4*d + 5*n = 15, -2*n - 2*n = -12. Let o(k) be the third derivative of -3*k**2 - 1/3*k**3 + 0*k - 1/24*k**4 + d. Differentiate o(s) wrt s. -1 Let x(s) be the second derivative of -3/10*s**5 + 5*s + 0*s**4 + 0 + 1/2*s**2 + 0*s**3. Differentiate x(t) wrt t. -18*t**2 Suppose -v - 6*v = -14. Suppose -r + 4 = 2*z - 4, -r + 5*z - 13 = 0. What is the second derivative of -20*h - v*h**5 + 23*h - r*h**5 wrt h? -80*h**3 Differentiate -10 + 16 + 39*h**3 + 9 with respect to h. 117*h**2 Let m(c) = -c**3 - 2*c + 5. Let n be 1*-3*(-3)/9. Let x(t) = -t + 1. Let z(g) = n*m(g) - 2*x(g). What is the first derivative of z(q) wrt q? -3*q**2 Let v be 2 + 2 + 1 + -2. What is the first derivative of 10*p**3 - 7*p**v - 1 - 1 wrt p? 9*p**2 Let n(g) = -g**2 - 6*g - 5. Let r be n(-4). What is the second derivative of c + r*c - 6*c - 3*c**2 wrt c? -6 Let h(o) = 11*o**5 - 41*o**2 - 17*o. Let g(k) = -4*k**5 + 14*k**2 + 6*k. Let c(n) = -17*g(n) - 6*h(n). Find the third derivative of c(b) wrt b. 120*b**2 Let i = -2 + 2. Let k(u) be the third derivative of 1/210*u**7 + 0 + 0*u**4 - 1/20*u**5 + i*u**3 + 0*u - u**2 + 0*u**6. Find the third derivative of k(r) wrt r. 24*r Let c(p) = -3*p**2 - 13*p. Let g(l) = 3*l**2 + 13*l. Let j(y) = -5*c(y) - 6*g(y). What is the second derivative of j(z) wrt z? -6 Let i = -11 + 13. Find the second derivative of -i*f + 7*f**2 - 2*f + 12*f wrt f. 14 Let y = 2 + 4. Find the second derivative of -4*d**3 + 4*d**3 - 3*d - y*d**5 + 11*d**5 wrt d. 100*d**3 Let u(p) = -16*p**4 + 3*p**3 + 17*p**2 - 3*p. Let j(h) = 17*h**4 - 2*h**3 - 16*h**2 + 2*h. Let z(b) = 3*j(b) + 2*u(b). Find the third derivative of z(m) wrt m. 456*m Let y(v) be the third derivative of -19*v**4/24 - 13*v**3/6 + 15*v**2. What is the first derivative of y(w) wrt w? -19 Let a(p) = -6*p - 1. Let y be a(-1). Let z(c) = 1 + y - 8. Let h(d) = d - 2. Let j(l) = 2*h(l) - 3*z(l). Find the first derivative of j(s) wrt s. 2 Let i(o) be the first derivative of -o**5/40 + 7*o**4/24 - 7*o**3/3 + 3. Let s(g) be the third derivative of i(g). Differentiate s(z) wrt z. -3 Let r(g) be the first derivative of 5*g**4/2 - 3*g**3 + 6. Find the third derivative of r(v) wrt v. 60 Let p(s) = -15*s**3 + 31*s**2 + 11*s. Let y(r) = 3*r**3 - 6*r**2 - 2*r. Let k(f) = 2*p(f) + 11*y(f). Find the third derivative of k(n) wrt n. 18 Let j(w) be the second derivative of w**6/5 - w**3/6 - 10*w. Find the second derivative of j(i) wrt i. 72*i**2 Let o(v) be the third derivative of -3*v**5/20 + 17*v**3/6 - 21*v**2. What is the derivative of o(m) wrt m? -18*m Let l(n) be the first derivative of 5*n**4/4 + 7*n**3/3 + 17. Find the third derivative of l(v) wrt v. 30 Suppose 5*q + 9 = -j - 6, -1 = 3*j + 4*q. Let b be ((-1)/j)/(3/(-15)). Differentiate -3*z - b - 1 + 3 wrt z. -3 Let k(x) = x**3 + 6*x**2 - 7*x + 5. Let m be k(-7). What is the second derivative of -9*f + m*f + f**2 + 3*f**2 wrt f? 8 Let s = 29 - 434/15. Let i(f) be the third derivative of -3*f**2 + 0*f - s*f**5 + 0 + 0*f**4 + 1/2*f**3. Differentiate i(j) with respect to j. -8*j Let t(s) = 3*s**4 + 4*s**3 - 4*s - 6. Let d(g) = 2*g**4 + 3*g**3 - 3*g - 5. Let x(o) = -4*d(o) + 3*t(o). What is the first derivative of x(u) wrt u? 4*u**3 Let v(o) = -23*o**3 - 5*o**2 - 5*o - 35. Let x(i) = -11*i**3 - 3*i**2 - 3*i - 18. Let w(p) = -3*v(p) + 5*x(p). Differentiate w(g) wrt g. 42*g**2 Suppose -3*l + 4*o = 8, 0 = -2*l + 6*o - 3*o - 7. Suppose 0*b + 6 = 2*b. Differentiate -l - u**2 + 2 + b*u**2 wrt u. 4*u Let i(y) be the second derivative of -11*y**7/21 + 3*y**3/2 - 21*y. Find the second derivative of i(g) wrt g. -440*g**3 Let c(n) be the third derivative of n**8/84 - 7*n**5/60 - 9*n**2. Find the third derivative of c(s) wrt s. 240*s**2 Let w(g) be the second derivative of 0*g**5 + 0*g**2 + 0 + 0*g**3 + 1/4*g**4 + g + 1/30*g**6. Find the third derivative of w(i) wrt i. 24*i Let h(f) = -16*f**3 - 9*f**2 + 2. Let k(d) = d**3 + d**2 - 1. Let b(i) = -h(i) - 2*k(i). What is the third derivative of b(w) wrt w? 84 Let j(a) = 5*a - 1. Let k be j(-1). Let h be (4/6)/((-2)/k). What is the third derivative of 0*p**5 + p**h + 2*p**5 - 4*p**5 wrt p? -120*p**2 Suppose 3*a = 2*a. Let g(n) be the first derivative of -1/2*n**4 - 1 + n**2 + 0*n + a*n**3. What is the second derivative of g(p) wrt p? -12*p Let l(x) be the third derivative of x**7/30 + 9*x**5/20 - 14*x**2. What is the third derivative of l(t) wrt t? 168*t Let r(u) = 21*u**2 - 5*u - 38. Let h(n) = 11*n**2 - 2*n - 19. Let k(p) = 5*h(p) - 2*r(p). Find the first derivative of k(v) wrt v. 26*v Let q(w) be the third derivative of 0*w**6 - 1/2*w**3 - 1/70*w**7 + 0 - 4*w**2 + 0*w**4 + 0*w**5 + 0*w. Differentiate q(i) wrt i. -12*i**3 Let t(u) be the first derivative of 0*u + u**2 - 4/3*u**3 - 4. Find the second derivative of t(d) wrt d. -8 Let i = 25 + -17. Differentiate 8*r**3 - 1 - 4 - i*r**3 - 8*r**4 wrt r. -32*r**3 Let c(j) be the second derivative of j**6/60 - 2*j**3/3 + 3*j**2/2 - 4*j. Let f(h) be the first derivative of c(h). Differentiate f(i) wrt i. 6*i**2 Let z be 68/16 + 3/(-12). Suppose -g + z = g. What is the third derivative of -4*f**4 + f**4 + 10*f**2 - 14*f**g wrt f? -72*f Let j(k) be the third derivative of -k**7/1260 + k**6/180 + k**5/60 + 2*k**2. Let o(c) be the third derivative of j(c). Differentiate o(q) with respect to q. -4 What is the derivative of -9 + 10 - 13 + 12*x**2 wrt x? 24*x Let t(k) = k + 13. Let s be t(-9). What is the first derivative of -s - 5*v**4 - 5 + 4 wrt v? -20*v**3 Let g(k) be the second derivative of -2/15*k**6 + 0*k**2 + 0*k**3 + 0 - 5/12*k**4 + 3*k + 0*k**5. What is the third derivative of g(x) wrt x? -96*x Let c(n) be the second derivative of 13*n**6/15 + 7*n**3/6 + 24*n. What is the second derivative of c(h) wrt h? 312*h**2 Let r(g) = -3*g - 4. Let c(a) = 3*a + 4. Let v(f) = f**2 + 11*f + 7. Let t be v(-10). Let i(n) = t*c(n) - 2*r(n). Differentiate i(k) wrt k. -3 Let a(k) = -29*k**4 + 4*k**3 + 4*k**2 - 4*k - 19. Let t(o) = o**3 + o**2 - o + 1. Let q(w) = -a(w) + 4*t(w). Differentiate q(r) wrt r. 116*r**3 Let y(v) be the third derivative of 0*v + 0*v**5 + 0 + 0*v**6 - 7/6*v**3 - 1/42*v**7 + v**2 + 0*v**4. Differentiate y(j) with respect to j. -20*j**3 Let f(u) = 165*u**3 + 24*u + 96. Let k(r) = -33*r**3 - 5*r - 19. Let j(o) = -5*f(o) - 24*k(o). Differentiate j(q) wrt q. -99*q**2 Let m = 4 - -2. Let g(n) = -8*n**4 - 11*n + 8. Let q(z) = -2*z**4 - 3*z + 2. Let a(l) = m*g(l) - 22*q(l). Find the first derivative of a(f) wrt f. -16*f**3 Let k be 2*1 - 3/(-1). Suppose -6 + k = -g. What is the second derivative of g + 2*u**5 + 2*u - 1 wrt u? 40*u**3 Let h(i) = i**2 - 54*i. Let r(z) = -z**2 + 27*z. Let v(k) = 2*h(k) + 5*r(k). What is the second derivative of v(n) wrt n? -6 Differentiate -7 - 40*p**2 + 0 + 1 + 1 with respect to p. -80*p Suppose -4*q + 5*g = 3, 3*g + 3 = -0*q + 4*q. What is the third derivative of q*o**2 - 2*o**2 + o**5 + 2*o**5 wrt o? 180*o**2 Let c(h) = h**2 - h - 1. Let t(x) = -2*x**3 - 3*x**2 + 3*x. Suppose 4*p - 2*p = 2. Let z(u) = p*t(u) + 3*c(u). What is the derivative of z(l) wrt l? -6*l**2 Suppose -6*n + 2*n = 2*t + 6, -3*t - 13 = 2*n. Let d = t - -7. Find the second derivative of -a**5 + a - d*a + 3*a**5 wrt a. 40*a**3 Let n(k) = k + 6. Let t be n(0). What is the second derivative of -2*m**5 + 4*m**5 - t*m**5 - m wrt m? -80*m**3 Let o(j) = 4*j**2 - 2*j - 3. Let h(k) = -9*k**2 + 5*k + 7. Let y(w) = 6*h(w) + 15*o(w). Differentiate y(f) wrt f. 12*f Suppose 0 = 2*s + 7 - 17. Suppose -2*q + s = -3. Differentiate q*u + 3 - 4 - u wrt u. 3 Let m(w) = -w**2 - 2*w
{ "pile_set_name": "DM Mathematics" }
xth root of 394918 to the nearest integer? 9 What is the third root of 1206480 to the nearest integer? 106 What is 507351 to the power of 1/4, to the nearest integer? 27 What is the square root of 1376205 to the nearest integer? 1173 What is the ninth root of 4736965 to the nearest integer? 6 What is 18227773 to the power of 1/9, to the nearest integer? 6 What is the third root of 1287467 to the nearest integer? 109 What is 645201 to the power of 1/2, to the nearest integer? 803 What is the cube root of 2764945 to the nearest integer? 140 What is the fourth root of 577235 to the nearest integer? 28 What is 127534 to the power of 1/3, to the nearest integer? 50 What is the sixth root of 26372519 to the nearest integer? 17 What is 2112473 to the power of 1/2, to the nearest integer? 1453 What is the third root of 1452651 to the nearest integer? 113 What is the cube root of 3160541 to the nearest integer? 147 What is 428013 to the power of 1/2, to the nearest integer? 654 What is 2695640 to the power of 1/7, to the nearest integer? 8 What is the square root of 10455628 to the nearest integer? 3234 What is the square root of 409095 to the nearest integer? 640 What is the square root of 1424052 to the nearest integer? 1193 What is 59901 to the power of 1/2, to the nearest integer? 245 What is 9102995 to the power of 1/3, to the nearest integer? 209 What is 423841 to the power of 1/5, to the nearest integer? 13 What is the fifth root of 139527 to the nearest integer? 11 What is the square root of 4649297 to the nearest integer? 2156 What is the fifth root of 6042768 to the nearest integer? 23 What is 21242505 to the power of 1/6, to the nearest integer? 17 What is the third root of 793234 to the nearest integer? 93 What is 9653079 to the power of 1/4, to the nearest integer? 56 What is the square root of 3830993 to the nearest integer? 1957 What is the square root of 10519576 to the nearest integer? 3243 What is the tenth root of 70317 to the nearest integer? 3 What is the third root of 26303391 to the nearest integer? 297 What is the tenth root of 650153 to the nearest integer? 4 What is 261658 to the power of 1/3, to the nearest integer? 64 What is 2275590 to the power of 1/2, to the nearest integer? 1509 What is the fifth root of 262356 to the nearest integer? 12 What is the square root of 5231491 to the nearest integer? 2287 What is the square root of 241873 to the nearest integer? 492 What is the square root of 4653044 to the nearest integer? 2157 What is 8090 to the power of 1/9, to the nearest integer? 3 What is 15146813 to the power of 1/2, to the nearest integer? 3892 What is the cube root of 498480 to the nearest integer? 79 What is the fourth root of 92206 to the nearest integer? 17 What is the square root of 1520990 to the nearest integer? 1233 What is the square root of 2696384 to the nearest integer? 1642 What is the square root of 10937042 to the nearest integer? 3307 What is the eighth root of 16747814 to the nearest integer? 8 What is the tenth root of 630975 to the nearest integer? 4 What is 5252652 to the power of 1/2, to the nearest integer? 2292 What is the square root of 570990 to the nearest integer? 756 What is 606938 to the power of 1/2, to the nearest integer? 779 What is the sixth root of 3895073 to the nearest integer? 13 What is the eighth root of 12878746 to the nearest integer? 8 What is the seventh root of 1300968 to the nearest integer? 7 What is 2706295 to the power of 1/2, to the nearest integer? 1645 What is the square root of 1343960 to the nearest integer? 1159 What is 140798 to the power of 1/9, to the nearest integer? 4 What is 424249 to the power of 1/2, to the nearest integer? 651 What is 158134 to the power of 1/2, to the nearest integer? 398 What is the cube root of 1139373 to the nearest integer? 104 What is the cube root of 158850 to the nearest integer? 54 What is the eighth root of 1937443 to the nearest integer? 6 What is 15941123 to the power of 1/7, to the nearest integer? 11 What is the square root of 342173 to the nearest integer? 585 What is 4537439 to the power of 1/3, to the nearest integer? 166 What is 223469 to the power of 1/3, to the nearest integer? 61 What is 165657 to the power of 1/8, to the nearest integer? 4 What is the ninth root of 489483 to the nearest integer? 4 What is 1020518 to the power of 1/6, to the nearest integer? 10 What is 2975892 to the power of 1/2, to the nearest integer? 1725 What is 1401497 to the power of 1/2, to the nearest integer? 1184 What is the square root of 2411887 to the nearest integer? 1553 What is 367880 to the power of 1/7, to the nearest integer? 6 What is 491318 to the power of 1/3, to the nearest integer? 79 What is 205928 to the power of 1/4, to the nearest integer? 21 What is 32461738 to the power of 1/5, to the nearest integer? 32 What is the cube root of 8362 to the nearest integer? 20 What is 5096554 to the power of 1/2, to the nearest integer? 2258 What is the third root of 462779 to the nearest integer? 77 What is 1728596 to the power of 1/2, to the nearest integer? 1315 What is the seventh root of 15592175 to the nearest integer? 11 What is 17101671 to the power of 1/2, to the nearest integer? 4135 What is 65982 to the power of 1/10, to the nearest integer? 3 What is 802135 to the power of 1/3, to the nearest integer? 93 What is the third root of 24020184 to the nearest integer? 289 What is 118943 to the power of 1/5, to the nearest integer? 10 What is the square root of 79302 to the nearest integer? 282 What is 297654 to the power of 1/3, to the nearest integer? 67 What is the third root of 8412162 to the nearest integer? 203 What is the third root of 1623696 to the nearest integer? 118 What is 98197 to the power of 1/8, to the nearest integer? 4 What is the third root of 85869 to the nearest integer? 44 What is the square root of 22136059 to the nearest integer? 4705 What is 444309 to the power of 1/10, to the nearest integer? 4 What is 1084334 to the power of 1/5, to the nearest integer? 16 What is the square root of 737654 to the nearest integer? 859 What is 30627063 to the power of 1/10, to the nearest integer? 6 What is 23914425 to the power of 1/3, to the nearest integer? 288 What is the third root of 1638930 to the nearest integer? 118 What is 24180963 to the power of 1/7, to the nearest integer? 11 What is 9496876 to the power of 1/3, to the nearest integer? 212 What is the cube root of 134004 to the nearest integer? 51 What is the third root of 2073267 to the nearest integer? 128 What is 1279784 to the power of 1/3, to the nearest integer? 109 What is the square root of 6777837 to the nearest integer? 2603 What is 103192 to the power of 1/2, to the nearest integer? 321 What is the eighth root of 21595102 to the nearest integer? 8 What is the cube root of 5283326 to the nearest integer? 174 What is the square root of 102086 to the nearest integer? 320 What is 3769285 to the power of 1/3, to the nearest integer? 156 What is the seventh root of 779019 to the nearest integer? 7 What is 649166 to the power of 1/2, to the nearest integer? 806 What is 1272468 to the power of 1/2, to the nearest integer? 1128 What is the eighth root of 138800 to the nearest integer? 4 What is the fourth root of 2855843 to the nearest integer? 41 What is 11772812 to the power of 1/5, to the nearest integer? 26 What is the cube root of 2181780 to the nearest integer? 130 What is 78433 to the power of 1/2, to the nearest integer? 280 What is the sixth root of 569824 to the nearest integer? 9 What is 273680 to the power of 1/8, to the nearest integer? 5 What is the tenth root of 134505 to the nearest integer? 3 What is the third root of 11692065 to the nearest integer? 227 What is the ninth root of 12307747 to the nearest integer? 6 What is the square root of 1118866 to the nearest integer? 1058 What is 1768644 to the power of 1/2, to the nearest integer? 1330 What is the third root of 1185099 to the nearest integer? 106 What is 96700 to the power of 1/2, to the nearest integer? 311 What is 70081 to the power of 1/2, to the nearest integer? 265 What is 860737 to the power of 1/2, to the nearest integer? 928 What is the third root of 144281 to the nearest
{ "pile_set_name": "DM Mathematics" }
23/40600 and 59/464058. 46405800 Calculate the common denominator of -13/2965686 and 39/4942810. 14828430 Find the common denominator of -95/6 and 13/4418114. 13254342 Calculate the least common multiple of 189207909 and 35502. 378415818 What is the lowest common multiple of 144084 and 3192? 38326344 Find the common denominator of -121/22026030 and 97/4. 44052060 What is the common denominator of 101/46600 and -111/14? 326200 Calculate the common denominator of 47/2622054 and 7/111793. 28842594 Calculate the lowest common multiple of 1254 and 228250. 13010250 What is the lowest common multiple of 11648 and 235872? 943488 Calculate the smallest common multiple of 1726 and 17970. 15508110 Find the common denominator of -83/12084336 and -133/70752. 1619301024 What is the least common multiple of 576 and 25200? 100800 Calculate the lowest common multiple of 70079750 and 625. 350398750 Calculate the common denominator of -109/1599732 and -67/1998. 4799196 What is the least common multiple of 128 and 1496576? 1496576 What is the smallest common multiple of 25380 and 200408? 27055080 Calculate the common denominator of 23/80845533 and 65/324. 323382132 Calculate the common denominator of -169/360 and -163/19666944. 98334720 Calculate the lowest common multiple of 182712 and 4887546. 19550184 Calculate the smallest common multiple of 51440 and 3765408. 18827040 What is the least common multiple of 9532716 and 2383179? 9532716 Calculate the least common multiple of 1109744 and 6. 3329232 Calculate the least common multiple of 60841816 and 53236589. 425892712 Calculate the lowest common multiple of 9773 and 1814071. 52608059 What is the lowest common multiple of 1267284 and 106? 67166052 Calculate the lowest common multiple of 36 and 56911044. 170733132 Calculate the least common multiple of 63243175 and 1110. 379459050 Find the common denominator of -29/4565 and 173/14078460. 14078460 What is the lowest common multiple of 1710 and 29304? 2783880 Calculate the smallest common multiple of 9844 and 276916. 6369068 What is the lowest common multiple of 2 and 14081602? 14081602 What is the lowest common multiple of 1992644 and 431528? 67749896 Calculate the least common multiple of 5940 and 14116680. 155283480 What is the least common multiple of 15296 and 82560? 19731840 Find the common denominator of 17/314744 and 41/23920544. 23920544 Calculate the lowest common multiple of 2 and 284621594. 284621594 What is the smallest common multiple of 558 and 189567? 11753154 Calculate the common denominator of 65/66 and -13/136212. 1498332 Calculate the common denominator of -97/52 and -11/7892892. 102607596 Calculate the lowest common multiple of 4967508 and 54588. 4967508 What is the lowest common multiple of 533393 and 1142985? 8000895 Find the common denominator of 131/253571616 and 91/3540. 1267858080 Calculate the smallest common multiple of 3437670 and 36668480. 110005440 Calculate the common denominator of -13/13781740 and -17/63396004. 316980020 Calculate the common denominator of -95/1830168 and 29/33248052. 199488312 Calculate the lowest common multiple of 102690 and 46200. 22591800 Calculate the lowest common multiple of 1194 and 1411308. 1411308 Calculate the common denominator of 99/37814 and 47/291270. 10776990 What is the common denominator of 12/26995 and -13/28070? 151549930 What is the lowest common multiple of 2170249 and 184340? 564264740 Find the common denominator of -131/44288448 and -41/6228063. 398596032 Find the common denominator of 123/1459150 and 17/928550. 10214050 What is the lowest common multiple of 116118 and 19353? 116118 Find the common denominator of 13/183147050 and 79/21977646. 549441150 What is the smallest common multiple of 1803867 and 141726? 285010986 Calculate the common denominator of 48/109911445 and -97/70. 219822890 What is the common denominator of -119/23556 and 107/103206688? 309620064 Find the common denominator of -37/24161424 and 59/168. 24161424 Calculate the common denominator of -28/9 and -76/165204777. 495614331 What is the common denominator of -9/2212 and 41/1897260? 1049184780 Calculate the common denominator of 109/432 and -47/29290224. 263612016 What is the lowest common multiple of 3410 and 137658972? 688294860 Calculate the common denominator of -91/22354270 and 125/12. 134125620 Calculate the least common multiple of 181073115 and 376167. 1991804265 Calculate the lowest common multiple of 451 and 4687. 2113837 What is the least common multiple of 1332 and 10875492? 402393204 Find the common denominator of 109/19266 and -161/1014. 19266 Calculate the smallest common multiple of 623733 and 31809. 14345859 Calculate the smallest common multiple of 2651056 and 331382. 2651056 Calculate the smallest common multiple of 112 and 3875840. 27130880 Find the common denominator of -67/194176125 and 61/607750. 388352250 Calculate the common denominator of -179/1425000 and -17/10462500. 397575000 Calculate the smallest common multiple of 15041376 and 2611350. 376034400 What is the common denominator of -127/33321354 and 43/279? 3098885922 Calculate the smallest common multiple of 28490049 and 118030203. 826211421 What is the smallest common multiple of 23988 and 695652? 695652 What is the least common multiple of 365898 and 26? 365898 Find the common denominator of 173/3192 and 137/4423104. 84038976 Calculate the smallest common multiple of 3302 and 65338. 8297926 What is the common denominator of 23/47550 and -133/2177790? 10888950 Calculate the common denominator of -8/47 and -53/3597. 169059 What is the least common multiple of 17272 and 1746123? 237472728 Calculate the common denominator of 137/4967700 and -56/15. 4967700 What is the common denominator of 16/4640949 and -65/3609627? 32486643 Calculate the common denominator of -58/44145 and 7/24705. 2692845 Find the common denominator of 79/1508805 and -113/4224654. 21123270 Calculate the common denominator of -137/1961856 and 137/1961856. 1961856 Find the common denominator of 161/163440 and 107/80. 163440 Calculate the smallest common multiple of 25193150 and 26200876. 655021900 What is the common denominator of 85/277179 and 83/1385895? 1385895 What is the common denominator of -185/252126 and -187/504252? 504252 What is the common denominator of 57/1280 and 123/4895360? 9790720 What is the common denominator of -139/312289200 and 22/10843375? 1561446000 Calculate the smallest common multiple of 26738 and 484324. 6474927556 Find the common denominator of -16/3503801 and -28/20527. 45549413 What is the common denominator of -49/2130 and 34/4389? 3116190 What is the smallest common multiple of 136 and 810169? 6481352 What is the lowest common multiple of 237728 and 31312? 24485984 What is the least common multiple of 3288 and 45435228? 90870456 Calculate the lowest common multiple of 12 and 6363598. 38181588 Calculate the common denominator of -34/5907 and 167/5217168. 933873072 What is the smallest common multiple of 143990 and 901510? 763578970 What is the least common multiple of 135376726 and 11963? 947637082 Calculate the least common multiple of 390717 and 2170650. 19535850 Calculate the common denominator of -77/24094324 and -61/2. 24094324 What is the common denominator of -5/694974 and 1/992820? 6949740 Calculate the common denominator of -10/9957 and -125/41640174. 41640174 What is the smallest common multiple of 12557 and 812406? 351771798 Calculate the common denominator of -107/1660716 and 23/79345320. 714107880 Calculate the common denominator of -5/6470703 and -38/12677. 45294921 What is the smallest common multiple of 1004220 and 329958? 23097060 Calculate the lowest common multiple of 192 and 2083076. 99987648 Calculate the common denominator of -67/480 and 131/13570890. 217134240 What is the common denominator of -149/1858884 and -95/50496? 29742144 What is the least common multiple of 174015 and 14179? 1914165 Calculate the least common multiple of 44636 and 108. 1205172 Find the common denominator of 61/6875356 and 115/13512. 41252136 Calculate the least common multiple of 445740 and 1091094. 250951620 Calculate the common denominator of 79/83028 and 17/444444. 7555548 Calculate the lowest common multiple of 258162 and 12138. 307212
{ "pile_set_name": "DM Mathematics" }
base 5. 4041 What is 100111011001 (base 2) in base 15? b31 What is 195 (base 10) in base 14? dd Convert 33c6 (base 15) to base 4. 2223222 What is -15a (base 15) in base 4? -10312 What is -110011000011011 (base 2) in base 10? -26139 Convert 132203 (base 4) to base 13. b75 11200 (base 3) to base 8 176 What is -96 (base 13) in base 15? -83 Convert 6544 (base 13) to base 9. 21277 Convert -4010 (base 6) to base 10. -870 1973 (base 11) to base 9 3377 Convert 155 (base 6) to base 9. 78 -208e (base 15) to base 11 -5199 What is -268b (base 13) in base 4? -1112103 Convert -1cab (base 13) to base 3. -12222201 321405 (base 6) to base 16 66ad Convert 1121201 (base 3) to base 16. 49c Convert -a0 (base 15) to base 5. -1100 Convert 107 (base 9) to base 14. 64 What is 57a (base 12) in base 2? 1100101110 5752 (base 11) to base 9 11328 Convert -14303 (base 8) to base 12. -3803 5236 (base 12) to base 6 105310 What is -240514 (base 6) in base 10? -20926 3558 (base 10) to base 5 103213 What is -41244 (base 5) in base 10? -2699 Convert 178 (base 12) to base 8. 354 What is 4741 (base 15) in base 9? 22677 -101010110 (base 2) to base 4 -11112 What is 1015 (base 6) in base 5? 1402 Convert 13625 (base 7) to base 14. 1515 1747 (base 8) to base 10 999 Convert 7745 (base 9) to base 11. 4322 -2b8 (base 16) to base 4 -22320 -6320 (base 8) to base 6 -23104 714 (base 14) to base 8 2556 Convert -435a (base 11) to base 12. -33b4 Convert -1224433 (base 6) to base 9. -110263 Convert -17625 (base 11) to base 3. -1020220020 Convert -1308 (base 12) to base 2. -100001111000 What is 312320 (base 6) in base 11? 17a08 What is -2d45 (base 15) in base 16? -260c Convert 213321 (base 4) to base 15. b53 111102 (base 4) to base 3 1212110 Convert -203 (base 4) to base 8. -43 Convert 101101101111 (base 2) to base 3. 11000102 Convert 332525 (base 6) to base 16. 6cc5 What is -231110 (base 4) in base 13? -1421 What is 2000 (base 3) in base 13? 42 What is -19984 (base 12) in base 5? -2201214 Convert -6 (base 10) to base 7. -6 Convert -663 (base 12) to base 15. -429 What is -652 (base 16) in base 12? -b2a 1111001101 (base 2) to base 9 1301 21502 (base 6) to base 10 2990 Convert 10000101110 (base 2) to base 8. 2056 -15323 (base 6) to base 4 -213003 What is -6a1 (base 16) in base 15? -782 586 (base 14) to base 8 2112 464 (base 11) to base 10 554 -53417 (base 10) to base 6 -1051145 8223 (base 11) to base 8 25243 -15536 (base 9) to base 11 -7aa7 Convert -3435 (base 6) to base 15. -395 What is 415234 (base 6) in base 2? 1000001100100110 What is -22723 (base 12) in base 6? -552443 What is 35 (base 13) in base 5? 134 150 (base 11) to base 9 215 14212 (base 5) to base 2 10010011110 Convert -25793 (base 10) to base 14. -9585 Convert -7459 (base 14) to base 2. -100111001100111 What is 2041 (base 6) in base 14? 249 Convert 13013 (base 5) to base 9. 1340 Convert 324014 (base 7) to base 16. dd1e -42064 (base 7) to base 6 -115504 Convert 4515 (base 7) to base 14. 845 What is -100111101 (base 3) in base 2? -1101100001010 What is 733 (base 13) in base 2? 10011001001 Convert 101101 (base 2) to base 16. 2d 24a8 (base 13) to base 5 131313 1002000200 (base 3) to base 10 21159 What is 91919 (base 10) in base 7? 531662 What is 2d9 (base 14) in base 16? 247 What is 382b (base 13) in base 2? 1111100101100 Convert -1ab (base 16) to base 4. -12223 What is 6 (base 7) in base 12? 6 1021133 (base 5) to base 2 100001010010011 What is 28403 (base 9) in base 6? 225133 Convert 1000100101000 (base 2) to base 9. 6020 Convert 12003231 (base 4) to base 11. 17708 Convert 13a (base 14) to base 5. 1443 199b (base 12) to base 7 12110 205 (base 6) to base 14 57 Convert 773 (base 8) to base 6. 2203 Convert 112100 (base 3) to base 7. 1062 24b6a (base 12) to base 3 2112122201 Convert -172 (base 11) to base 14. -104 533534 (base 7) to base 15 1c642 Convert 426 (base 8) to base 6. 1142 Convert 10001010001 (base 2) to base 5. 13410 -278 (base 10) to base 15 -138 What is -12502 (base 10) in base 6? -133514 5a00 (base 11) to base 3 101210022 Convert 130113 (base 6) to base 14. 43a5 Convert 861 (base 11) to base 2. 10000001011 Convert -31600 (base 7) to base 3. -101202101 -2351 (base 7) to base 16 -365 55054 (base 6) to base 13 35c2 What is 8122 (base 11) in base 3? 112210202 What is 250 (base 13) in base 10? 403 What is 1101010011011 (base 2) in base 15? 2041 What is 22253 (base 8) in base 15? 2bac 1cef (base 16) to base 5 214112 Convert 5ce9 (base 16) to base 12. 11921 Convert -1021100222 (base 3) to base 4. -12013133 Convert -335054 (base 6) to base 4. -12322222 Convert 1001011221 (base 3) to base 12. ba81 What is -84cc (base 13) in base 7? -104463 -240115 (base 6) to base 5 -1131113 Convert 17237 (base 8) to base 5. 222324 Convert 7620 (base 8) to base 12. 2380 -385 (base 13) to base 7 -1540 What is 10230233 (base 4) in base 5? 1103442 Convert -5807 (base 9) to base 10. -4300 13205 (base 6) to base 16 7e5 Convert -2088 (base 13) to base 3. -20011220 Convert -11233 (base 5) to base 7. -2246 Convert -677 (base 13) to base 11. -921 Convert 12a3 (base 13) to base 4. 221230 1245 (base 16) to base 13 218a 651 (base 12) to base 11 771 -168 (base 15) to base 4 -11003 b15 (base 13) to base 10 1877 What is -174 (base 13) in base 4? -10020 Convert 5143 (base 6) to base 4. 101313 -1505 (base 7) to base 12 -415 What is 1104 (base 5) in base 6? 414 Convert -2100022 (base 3) to base 7. -4661 What is b2c2 (base 14) in base 6? 354202 309 (base 11) to base 13 228 Convert -15004 (base 6) to base 14. -c20 Convert 2001 (base 5) to base 3. 100022 Convert 2200 (base 5) to base 2. 100101100 Convert -1105 (base 7) to base 15. -1b7 Convert -240503 (base 6) to base 5. -1132134 What is -1948 (base 12) in base 10? -3080 Convert -435 (base 12) to base 6. -2505 -28322 (base 11) to base 14 -1099b Convert -220211 (base 4) to base 14. -d37 2331222 (base 5) to base 6 525343 Convert -21625 (base 8) to base 2. -10001110010101 What is -3452 (base 7) in base 14? -662 Convert 33a (base 15) to base 11. 604 2c4 (base 15) to base 16 27a Convert -88b (base 13) to base 16. -5bb Convert 2414 (base 7) to base 15. 3e8 2121103 (base 4) to base 14 380b Convert -1539 (base 10) to base 13. -915 What is -1002202 (base 3) in base 8? -1443 Convert -53317 (base 8) to base 14. -8155 -22887 (base 11) to base 6 -412451 -2130012 (base 5) to base 3 -1211201212 -111101101100110 (base 2) to base 11 -21809 What is -12332 (base 5) in base 10? -967 What is 2162 (base 7) in base 9? 1055 Convert -269 (base 12) to base 10. -369 Convert 7842 (base 9) to base 7. 22610 What is -a808 (base 12) in base 2? -100100000001000 What is 16012 (base 7) in base 14? 18b2 Convert 1334 (base 5) to base 9. 263 -281 (base 14) to base 11 -41a What is -60 (base 13) in base 8? -116 Convert -101010011010000 (base 2) to base 14. -7cac Convert 441332 (base 5) to base 14. 578d What is d8a9 (base 14) in base 9? 56253 What is 849 (base 16) in base 12? 1289 -532224 (base 6) to base 10 -43288 46372 (base 11) to base 2 10000010110110000 Convert -1b2 (base 13) to base 8. -472 What is 121133 (base 5) in base 6? 33011 What is -4ce (base 15) in base 5? -13334 What is 24060 (base 9) in base 13? 742b What is -a516 (base 11) in base 7? -55422 Convert -a835 (base 11) to base 10. -14316 What is -61295 (base 10) in base 2? -1110111101101111 What is -21 (base 15) in base 9? -34 What is 40179 (base 10) in base 6? 510003 Convert -2265 (base 7) to base 2. -1100111111 Convert bb0a (base 12) to base 15. 6187 What is -221011 (base 4) in base 5? -41004 Convert -502001 (base 6) to base 5. -2224223 Convert -10246 (base 7) to base 13. -11cb Convert 343 (base 11) to base 16. 19a Convert -1111000101 (base 2) to base 10. -965 What is 31300 (base 4) in base 11? 730 What is 29c2 (base 13) in base 14? 22db 42503 (base 6) to base 15 1ab9 3626 (base 11) to base 8 11213 Convert 1933 (base 11) to base 5. 34311 Convert 45430 (base 6) to base 11. 4912 What is 1000001110 (base 2) in base 13? 316 What is 142 (base 9) in base 12? 9b What is 1154 (base 6) in base 13? 190 Convert -1254 (base 16) to base 15. -15cc Convert -3237 (base 8) to base 2. -11010011111 What is 22c43 (base 13) in base 9? 106215 Convert 110001011000101 (base 2) to base 6. 313021 -1062 (base 9) to base 11
{ "pile_set_name": "DM Mathematics" }
.7390973 Calculate 46.3 + 211271340411. 211271340457.3 What is the difference between 190.7 and -10139.5378? 10330.2378 What is -0.03444 less than 43143506? 43143506.03444 What is -2480 less than 1089192405? 1089194885 Work out 34.71973648 - 8079. -8044.28026352 Work out -12537622 - -4.03852. -12537617.96148 -17.2+-1355680.73938 -1355697.93938 Subtract 0.0086 from -16650146740. -16650146740.0086 What is the distance between -48582459943 and -11.358? 48582459931.642 What is 55.55587942756 less than -3? -58.55587942756 What is 12.87 - -16.87443065? 29.74443065 What is -2.8111 minus 148.15443? -150.96553 -459.97 + -4613.029 -5072.999 Calculate 0.1 - 12.7800041. -12.6800041 Calculate -2.53229 + 1.69291626. -0.83937374 What is -17330 minus 0.1293811819? -17330.1293811819 What is -6919 minus -5359.8276? -1559.1724 Sum -441477720 and -8780. -441486500 Add -0.3 and 19388150967. 19388150966.7 Total of -184.46491089 and 7.7. -176.76491089 Calculate 57424687788877 - 5. 57424687788872 Total of -655406823712 and -0.419. -655406823712.419 9452 - -211.096 9663.096 Total of 0.037455211529 and 0.3. 0.337455211529 Calculate 21058620 + -16802. 21041818 Put together 220.757064 and 34048.6. 34269.357064 What is -1037595136.051 take away -0.06? -1037595135.991 -650225050893 - -407 -650225050486 What is -0.137595574 less than -896? -895.862404426 Calculate -81872.7 - 25783.801. -107656.501 What is 137656 less than 193.6139? -137462.3861 -16163542+-61679.06 -16225221.06 Add together 521885111 and 14622. 521899733 What is 3 plus -6.14783267478? -3.14783267478 Add -69.043118 and -1278. -1347.043118 Add 264502462.7 and -0.155. 264502462.545 Sum -15506128 and 34361. -15471767 Put together 0.1 and 82357731897. 82357731897.1 Total of 251387 and 111969967. 112221354 What is -3188.970876738 - 86? -3274.970876738 Subtract -167403640849 from -75. 167403640774 What is -31528.490198 less than 4501? 36029.490198 Work out 7513.61 + -43597.48. -36083.87 What is -64040449732455 + -5? -64040449732460 Calculate 963952.651 - 0.00589. 963952.64511 Calculate -2.0533 + -9180381. -9180383.0533 Put together 139.9 and 16302894923. 16302895062.9 Calculate 24.41 - -4637605913. 4637605937.41 176539192 + 0.0280549 176539192.0280549 Calculate 24.615251 + 14813. 14837.615251 What is 5660074767 take away 15? 5660074752 What is 9595 + 2399082208? 2399091803 What is 107 + -48618.93985? -48511.93985 What is the difference between 9.003939 and -47169? 47178.003939 0.216 - 52670.757 -52670.541 Add 428908848952536 and 0.5. 428908848952536.5 What is the difference between -5 and -10.3059742903104? 5.3059742903104 Total of -36587672255 and -0.1. -36587672255.1 6.289743205 - 1561.35 -1555.060256795 What is -0.2 minus -521728423769? 521728423768.8 Subtract 0.157765747 from -692. -692.157765747 1.63 + -140848274996 -140848274994.37 What is the difference between 0.6 and -28729590299033? 28729590299033.6 Sum 35906774634 and 2.115. 35906774636.115 Put together -45942491834 and -0.32. -45942491834.32 Subtract -39 from -301.695158573. -262.695158573 What is 438284 plus -0.151288? 438283.848712 Calculate 53 - 413397430369. -413397430316 Calculate -150155.2496 + -6.469. -150161.7186 Sum -0.69959 and 16865722. 16865721.30041 Work out 4.7679 - 94474.68. -94469.9121 What is -14830 minus 10604961.6? -10619791.6 1654018.19 - -5587957 7241975.19 What is the distance between -0.17 and 36834946.871? 36834947.041 Work out -9 + -114982556.583. -114982565.583 -1522233904771 + 0.4 -1522233904770.6 What is -372729 - 2202.5216? -374931.5216 6 - 3014312.357 -3014306.357 What is 6761546561695 less than 0.08? -6761546561694.92 Calculate -0.06374 - 305559180. -305559180.06374 Calculate 634104426151.3 + -0.2. 634104426151.1 Put together 2.6 and -20.36596415897. -17.76596415897 Calculate -58 - 70171.0576956. -70229.0576956 Subtract 0.51759 from -131089909. -131089909.51759 Subtract -5.7361 from -4983537. -4983531.2639 What is 0.057 - 1804029.19925? -1804029.14225 What is 0.029 - 110.471369? -110.442369 What is 0.2901 take away 27861093787? -27861093786.7099 Total of 634162740372 and 48. 634162740420 What is 2028 - -86.15343? 2114.15343 Subtract 8748878091435 from -5. -8748878091440 Work out -2077 - -126390.6685. 124313.6685 Total of 0.0394280566984409 and 0.4. 0.4394280566984409 -4329785790997 - -4 -4329785790993 What is the distance between -9.50602432141 and -5.8? 3.70602432141 Add together -0.19 and -15429138176. -15429138176.19 What is -0.326 less than -166442463700? -166442463699.674 -0.32+0.07130687029513 -0.24869312970487 Work out 17589 - -85.081. 17674.081 Add together -186 and 38059586241. 38059586055 What is 7 - -3.308203973888? 10.308203973888 What is -156.308 less than -7428131? -7427974.692 Work out 24 + 11634.852886464. 11658.852886464 Add 105023.1185 and -124. 104899.1185 Total of 241.821082 and -570. -328.178918 Add together -80.93 and -34838019. -34838099.93 What is 16657079.24621 less than 0.05? -16657079.19621 What is the distance between -48560571.695878 and -3? 48560568.695878 -471 + -92063124776 -92063125247 1914629035 + 0.373537 1914629035.373537 What is the difference between -338669 and -27.68439? 338641.31561 14499.41 - -7.8526 14507.2626 Put together -0.5 and -476381651.08. -476381651.58 Add 437679509 and -0.0170593. 437679508.9829407 What is the distance between 0.92374943427 and 0.12? 0.80374943427 -3760.1726 + 122.03 -3638.1426 What is 242.2 - 15.1028407? 227.0971593 Add together 33928009 and 1446.144. 33929455.144 What is -0.2 plus 128690489470? 128690489469.8 Add 135060411 and 742. 135061153 What is 96.792121 minus -4793? 4889.792121 Sum 126351 and -72130. 54221 Work out -4513.2481001023 - -0.1. -4513.1481001023 Total of -0.1 and -0.01400354800798. -0.11400354800798 Work out -412 + -43.65567402. -455.65567402 What is 1.189646 plus -18056432? -18056430.810354 Put together 234689 and -0.06602204. 234688.93397796 Sum -6664726679 and 0.2. -6664726678.8 What is the distance between -70420987 and 29.962? 70421016.962 Calculate -18.11061 - -16.52826. -1.58235 What is 0.058 minus -39.96551648132? 40.02351648132 What is 604 plus -2990781841.7? -2990781237.7 What is -266999331 minus -865113? -266134218 What is 100460 plus 50.18381? 100510.18381 What is 14 less than 45829807192? 45829807178 Calculate 23710447782 + 3.443. 23710447785.443 Calculate -6337 + 37763356707. 37763350370 What is -15648032 plus 12081? -15635951 What is 0.5 + -1559548507012? -1559548507011.5 What is -0.1 take away 10742309978083? -10742309978083.1 -7225.12 - -1131940670 1131933444.88 What is -4487.186335136 less than 1? 4488.186335136 Add together 20.5 and -4679530197. -4679530176.5 Add -596708116102 and 0.2. -596708116101.8 What is -54285746.6182 + -0.03? -54285746.6482 What is the difference between 1549.3 and -3176398445? 3176399994.3 -26953371210 - -4 -26953371206 What is -120 less than -21941297732? -21941297612 Work out -997.054825363 + -0.047. -997.101825363 Sum 0.5 and -18366670885. -18366670884.5 Total of -10093662 and 0.2829. -10093661.7171 What is 75656 minus 176832? -101176 Add together -4971785.1077 and 152. -4971633.1077 Calculate -2637396577 - 0.545. -2637396577.545 What is 180.6 take away -2736859376? 2736859556.6 What is 0.161228510018895 minus -0.5? 0.661228510018895 Sum -84272192.8 and -0.03498. -84272192.83498 -3294264765 + 24790 -3294239975 Add -20007102781301 and -0.1. -20007102781301.1 What is -1.875 minus -822953564? 822953562.125 Add together 14609747 and -49.637. 14609697.363 Add together -0.109 and -193303161799. -193303161799.109 2.25667284 - 119.89 -117.63332716 What is -73849146490 - 1.09? -73849146491.09 Subtract 23612213 from 1239356. -22372857 Add 0.2 and -3592383775086. -3592383775085.8 What is -8577670.9195 + 369? -8577301.9195 -0.1+-117647319717704 -117647319717704.1 Sum 2204.25318 and 16555. 18759.25318 What is 1762244755184 less than 1? -1762244755183 What is -524540728861 plus 0.0187? -524540728860.9813 What is -15 plus -0.845379358992? -15.845379358992 Total of -0.06511 and -78731285477. -78731285477.06511 What is 348330206 + 2935.237? 348333141.237 Work out -1.175854 - 5576117. -5576118.175854 Subtract -0.31 from -0.13890638292. 0.17109361708 Add together 1167755000847 and 4. 1167755000851 What i
{ "pile_set_name": "DM Mathematics" }
ivative of 1/40*f**5 + 0*f**2 - 10*f + k*f**3 + 1/24*f**4 + 0. Factor s(b). b**2*(b + 1)/2 Let q = -42848 + 42850. Factor 1/4*c**q - 1/8*c**3 + 1/2*c - 1. -(c - 2)**2*(c + 2)/8 Let f be (-354)/(-570) - ((-28)/(-20))/((-154)/(-22)). Suppose -f*v + 0*v**2 + 6/19*v**4 + 14/19*v**3 + 0 = 0. Calculate v. -2, -1, 0, 2/3 Let u be (3*4/24)/(2/32). Suppose z - 3*z = -u. Find x such that 26*x - x**z - 2*x**3 - x**3 - 3*x**2 - 27*x = 0. -1, 0 Let a be 211484/114660 + (-2 - 23/(-9)). What is h in 54/5*h - a*h**2 - 24/5 = 0? 1/2, 4 Let z(f) be the first derivative of f**5/2 - 10*f**4 + 60*f**3 - 160*f**2 + 200*f - 3628. Solve z(n) = 0. 2, 10 Let b(g) be the first derivative of -49*g**4/3 - 27664*g**3/9 - 15712*g**2/3 - 8960*g/3 - 9397. Determine n so that b(n) = 0. -140, -4/7 Suppose 4*o + 55*b = 51*b + 20, 5*o + b - 5 = 0. Find u, given that o - 4/5*u**2 + 0*u = 0. 0 Find b such that -84*b**2 - 1/5*b**4 + 225 + 130*b + 54/5*b**3 = 0. -1, 5, 45 Let y = 2675/10652 - 3/2663. Factor 3/2*u**2 + y + u**3 + 1/4*u**4 + u. (u + 1)**4/4 Let b(x) = -x**2 - x + 1. Let w(g) = -3*g + 3*g**2 + 0*g - 3 + 4. Let s(h) = b(h) + w(h). Determine i so that s(i) = 0. 1 Suppose 29*k = -2*x + 35*k - 14, 4*x = k + 5. Factor -2/5*q**x + 16/5*q - 32/5. -2*(q - 4)**2/5 Let x(b) be the first derivative of 9*b**4/4 - 49*b**3/2 + 63*b**2 - 54*b + 725. Determine z so that x(z) = 0. 2/3, 3/2, 6 Let t(p) be the second derivative of -5*p**8/336 + 5*p**7/42 - p**6/3 + p**5/3 + 34*p**2 + 2*p + 62. Let j(o) be the first derivative of t(o). Factor j(a). -5*a**2*(a - 2)**2*(a - 1) Let d be ((-2)/(-6)*-1)/(54112/(-40584)). Suppose 2*q + 13 = -5*j - 7, -5*q - 8 = 2*j. Factor -s**4 - 1/4*s**5 + q - d*s - 3/2*s**3 - s**2. -s*(s + 1)**4/4 Let c(a) be the second derivative of a**6/6 - 10*a**5 + 745*a**4/12 - 455*a**3/3 + 180*a**2 + 3*a + 543. Factor c(s). 5*(s - 36)*(s - 2)*(s - 1)**2 Let q be (1 - 1)/(1 + (3 - 5)). Determine x so that 114*x**3 + q*x**4 + 3*x**4 - 99*x**3 = 0. -5, 0 Let z be 64/3 + (-15)/45. Let p(t) = t**2 - 21*t + 8. Let m be p(z). Factor -12*h + 5 - 8 + m*h**2 - 5. 4*(h - 2)*(2*h + 1) Let j(v) be the first derivative of 2*v**3/39 + 120*v**2/13 + 7200*v/13 + 1845. Factor j(o). 2*(o + 60)**2/13 Let g be 71/(2059/377) + 282/(-22). Suppose -8/11*a + 10/11 - g*a**2 = 0. Calculate a. -5, 1 Let k(c) be the second derivative of 16*c + 1/1440*c**6 - 1/288*c**4 + 10*c**2 + 0 + 0*c**3 + 0*c**5. Let f(i) be the first derivative of k(i). Factor f(w). w*(w - 1)*(w + 1)/12 Let m(f) be the first derivative of f**5/5 + 23*f**4/4 - 29*f**3/3 - 123*f**2/2 - 72*f - 2278. Determine c so that m(c) = 0. -24, -1, 3 Suppose 256*l - 424*l**2 - 165/2*l**4 + 302*l**3 - 56 + 9/2*l**5 = 0. Calculate l. 2/3, 1, 2, 14 What is x in -1010*x - 1020100 - 1/4*x**2 = 0? -2020 Suppose 7*n - 87 - 123 = 0. Determine f so that 17*f - 31*f + 5*f**2 - n + 10*f + 9*f = 0. -3, 2 Let v be (6/9 - 2/3)/2. Let g be v + 7 + -6 + 3. Determine j, given that -11*j**2 - 3*j**3 + g*j**3 - 5*j**3 - j**2 + 16 = 0. -2, 1 Let c be 2/(-1) + -34 + 39. Solve 3*z**4 + z**3 - 103*z**2 + 101*z**2 - z**c + 3*z**3 - 2*z**5 = 0. -1, 0, 1/2, 2 Let r(f) be the second derivative of -4/5*f**5 + 2/3*f**4 + 0*f**2 + 2*f**3 + 0 - 45*f - 4/15*f**6 + 2/21*f**7. Factor r(x). 4*x*(x - 3)*(x - 1)*(x + 1)**2 Suppose 0 = -5*b + o + 12, -3*b = 6471*o - 6470*o - 4. Factor -1/2*i**b - 23 - 25/2*i. -(i + 2)*(i + 23)/2 Let a = -9/1345 - -162763/2690. Find z, given that -23/2*z**3 - 143/2*z**2 + 0 - a*z - 1/2*z**4 = 0. -11, -1, 0 Factor 2/11*u**3 + 284/11 + 148/11*u**2 + 430/11*u. 2*(u + 1)*(u + 2)*(u + 71)/11 Let w be 450/945*(-14)/(-30). Let g(h) be the first derivative of -7/3*h**4 - 21 + 0*h**2 - 4/3*h**5 - 4/3*h**3 - w*h**6 + 0*h. Factor g(p). -4*p**2*(p + 1)**2*(p + 3)/3 Factor -750/17*o + 44 + 2/17*o**2. 2*(o - 374)*(o - 1)/17 Let b(k) be the second derivative of -k**7/252 + 7*k**6/60 - 19*k**5/60 + 2*k - 741. Factor b(z). -z**3*(z - 19)*(z - 2)/6 Factor 538/19 - 2/19*g**2 - 536/19*g. -2*(g - 1)*(g + 269)/19 Factor 5 - 4*h**3 - 22 - 9 + 44*h - 22 + 8*h**2. -4*(h - 4)*(h - 1)*(h + 3) Let l be ((-10)/(-3))/(120/432). Let q be (-12)/16*-2*16/l. Solve -1/5*i**3 + 0*i**q + 0 + 1/5*i = 0 for i. -1, 0, 1 Let f be (735/243 + -3)/((-2334)/(-21006)). Solve -f*l**4 - 16/9*l + 0 - 8/3*l**2 - 4/3*l**3 = 0. -2, 0 Let a be (-36)/(-108)*(-11 - -15). Solve 568/3*m - 20164/3 - a*m**2 = 0. 71 Let w be -30*(-25)/375*1*6. Suppose b + 7*q + 20 = w*q, 0 = -3*q + 12. Suppose 1/2*n**4 + 0*n**3 + b - 3/2*n**2 - n = 0. Calculate n. -1, 0, 2 Let v(s) be the third derivative of s**6/60 + 676*s**5/15 - 4*s**2 - 16*s. Factor v(b). 2*b**2*(b + 1352) Let o = 83 - 27. Let h = 59 - o. Factor 4*x + 8*x + 4*x - 2*x**h - 4*x**4 - 10*x**3. -4*x*(x - 1)*(x + 2)**2 Let y(t) be the third derivative of -45*t**2 + 1/100*t**6 + 4/75*t**5 - 1/840*t**8 - 2/525*t**7 + 0*t + 0*t**3 - 2 + 1/15*t**4. Suppose y(i) = 0. Calculate i. -2, -1, 0, 2 Let v(y) = -y**5 - 3*y**4 - y**3. Let t(k) = 8*k**5 + 44*k**4 + 73*k**3 + 10*k**2 - 75*k - 45. Let u(d) = t(d) + 3*v(d). Find b such that u(b) = 0. -3, -1, 1 Let o = -778637/5 + 155729. Let 20*p + 48/5 + o*p**2 = 0. Calculate p. -12, -1/2 Let r(h) be the third derivative of -11/24*h**6 + 5/8*h**4 - 10*h**2 + 5/42*h**7 + 0*h**3 + 0*h + 0 - 13/12*h**5. Solve r(a) = 0. -1, 0, 1/5, 3 Let c(d) be the first derivative of d**4/5 - 92*d**3/15 - 2*d**2/5 + 92*d/5 - 539. Let c(r) = 0. Calculate r. -1, 1, 23 Let c = 26205/581 - 3708/83. Factor 21 + c*a**2 + 6*a. 3*(a + 7)**2/7 Let d = 479 - 476. Factor 678 + 84*b**3 - 43*b**d + 765*b - 3 - 38*b**3 + 93*b**2. 3*(b + 1)*(b + 15)**2 Let i(f) be the first derivative of -f**3/12 + 11*f**2/4 - 57*f/4 - 795. Factor i(t). -(t - 19)*(t - 3)/4 Let p be (-66)/(-20) - (-3)/6 - 116/145. Factor -1/6*w**5 + 2*w + 1/3*w**2 + w**4 - 11/6*w**p - 4/3. -(w - 2)**3*(w - 1)*(w + 1)/6 Suppose 0 = 7*o - 2*o - 15. Let x be -3*(-72)/(-27) + 42. Determine f so that x + 6*f**2 + 3*f**3 + o*f - 34 + 0*f = 0. -1, 0 Let u(i) be the third derivative of i**6/720 + 7*i**5/120 + 95*i**4/144 + 25*i**3/12 + 9*i**2 - 20. Factor u(c). (c + 1)*(c + 5)*(c + 15)/6 Suppose -10998 = -3302*z + 770*z + 19386. Let -z*k + 1/5*k**4 + 36/5 + 37/5*k**2 - 2*k**3 = 0. Calculate k. 2, 3 Let y(m) be the first derivative of -5/3*m**3 + 322 - 60*m - 65/2*m**2. Solve y(n) = 0. -12, -1 Let i(j) be the first derivative of j**6/1020 - j**5/255 - j**4/51 + 8*j**3/51 + 6*j**2 - 25. Let u(o) be the second derivative of i(o). Factor u(w). 2*(w - 2)**2*(w + 2)/17 Let w(b) = 3*b**2 + 16*b + 15. Suppose 7*p + 16 = 23*p. Let d(q) = q**2 + 2*q - 1. Let t(u) = p*w(u) - 5*d(u). Solve t(n) = 0. -2, 5 Let f(j) be the third derivative of -j**2 + 16 - 1/600*j**6 + 1/24*j**4 + 0*j - 1/5*j**3 + 1/150*j**5. Let f(b) = 0. Calculate b. -2, 1, 3 Let l = -2013 + 2015. Suppose 1/2*u**4 + 0*u + 15/4*u**5 + 1/2*u**l + 0 - 11/4*u**3 = 0. What is u? -1, 0, 1/5, 2/3 Let l = -65 - 175. Let o be 7/5 - 16/(l/(-9)). Solve -p - 2/5 + o*p**3 + 1/5*p**5 + 4/5*p**4 - 2/5*p**2 = 0. -2, -1, 1 Let c(m) be the third derivative of -87*m**6/28 + 2311*m**5/210 + 149*m**4/21 + 4*m**3/21 - 243*m**2 - m + 1. Let c(f) = 0. Calculate f. -2/9, -1/145, 2 Let x = 156 - 152. Suppose 2*k - 38 = -2*w, 9*k = 4*k - w + 99. Factor -12*i**5 - 35*i**2 + 17*i**2 + k*i**4 + 14*i**2 - x*i**3. -4*i**2*(i - 1)**2*(3*i + 1) Let n be 2/(-3) - (-102)/18. Factor 0*q**4 - 4*q**4 + 4*q**2 + 4*q**n + 12 - 12 - 4*q**3. 4*q**2*(q - 1)**2*(q + 1) Factor 249*o - 4*o**2 + 118*o + 317*o. -4*o*(o - 171) Let w(d) be the third derivative of d**6/24 + 105*d**5/4 + 40545*d**4/8 - 126405*d**3/2 - 9*d**2 - 28*d - 4. Factor w(g). 5*(g - 3)*(g + 159)**2 Let a = -222513 + 890055/4. Let r be 6/(-15) + 19/10. Factor r + 3/4*v**2 - 1/4*v**4 - a*v**3 + 11/4*v. -(v - 2)*(v + 1)**2*(v + 3)/4 Let q(b) be the third derivative of b**6/180 - b**5/4 - 4*b**4/3 + 49*b**3/3 - 212*b**2. Let v(j) be the first derivative of q(j). Solve v(d) = 0 for d. -1, 16 Let w(l) be the second derivative of -l**4/54 + 104*l**3/27 + 35*l**2/3 - 12*l - 4. Factor w(o). -2*(o - 105)*(o + 1)/9 Let n(y) be the third derivative of -y**8/420 - y**7/70 + 2*y**5/15 - 13*y**3/3 + 85*y**2. Let q(a) be the first derivative of n(a). Factor q(w). -4*w*(w - 1)*(w + 2)**2 Let g be (-17)/(-187)*-88 + (-22)/(-2). Factor
{ "pile_set_name": "DM Mathematics" }
c*t**4 + v*t**3 and give v. 1 Express (13*w - 37*w + 13*w + w**2)*(3 + 1 - 2)*(3 - 2 + 15)*(26 + 14 + 16) in the form b*w + k*w**2 + f and give k. 1792 Express (55*o**3 - 26*o**3 - 28*o**3 - 22*o**2)*(-1 + 8 + 8)*(0*o + 2*o - 4*o) as a*o**2 + t*o + z + b*o**3 + x*o**4 and give b. 660 Rearrange (4*y**2 - y**2 + y**2)*(262*y + 2514*y - 127*y) to the form t + i*y**2 + p*y**3 + j*y and give p. 10596 Express -10057*v + 2*v**2 + 30412 + 30422 + 30420 - 91254 in the form a*v**2 + m*v + o and give m. -10057 Rearrange (-40 + 40 + 3*c)*(-2 + 0 + 4) + (20 + 21 - 10)*(0*c - 3*c + 5*c) to y + t*c and give y. 0 Rearrange (-f**3 - 3*f**3 + 0*f**3)*(-10 + 7 - 6) + (1 - 6 + 2)*(-2*f**3 + 2*f**3 + f**3) to the form d*f**3 + s + c*f + o*f**2 and give d. 33 Express -11*w**4 + 28*w - 2 + 3*w**4 - w**2 + 6*w**4 + 6*w**3 + 19*w - 38*w as f*w**3 + o + x*w**2 + z*w + i*w**4 and give x. -1 Rearrange -302*m + 108*m**2 + 907*m - 308*m + 20 - 299*m to the form z + k*m + r*m**2 and give r. 108 Express 42142*y - 16 - 21458*y - 21498*y as j + w*y and give j. -16 Rearrange 4552*h**2 + 2136*h**2 + 560*h**2 to u*h + f*h**2 + w and give f. 7248 Express -4*c + 0 + 358*c + 2 - 17*c + 2 as y + o*c and give y. 4 Express 175*v - 298*v + 932*v - 117*v - 78*v in the form r*v + p and give r. 614 Rearrange -23*a**3 - 16*a - 144785*a**2 + 144795*a**2 + 18*a - 4*a**4 to the form m*a**2 + l*a**4 + c*a**3 + x + i*a and give l. -4 Express -7*q**3 + q**3 + 5*q**3 + (333 - 127*q**2 - 333)*(7*q - 7 - 11*q + 9*q) in the form d*q**2 + t*q**3 + k + f*q and give d. 889 Express (0 - 6 - 19)*(-14 - 1 - 63)*(g - g - 2*g**4) in the form h*g**4 + c + o*g + p*g**2 + v*g**3 and give h. -3900 Express (-6 + 6 + 1)*(1632*w**2 + 77*w**3 - 1632*w**2) + (-w**3 - 3*w + 3*w)*(-4 - 3 + 4) as s*w**3 + m*w + a*w**2 + i and give s. 80 Express (-o**2 + 2 - 2)*(-2117 + 655 - 1663) in the form s + l*o + t*o**2 and give t. 3125 Rearrange ((-1 + 1 + 6)*(2 + 0 - 1) + 0 - 11 + 0)*(0*c**3 - 4*c**3 - 31*c**4 + 7*c**3 - 3*c**3) to d*c**3 + t*c + a*c**2 + m + x*c**4 and give x. 155 Rearrange (4 + 2 - 4*l - 4)*(l**3 + 0*l**3 - 3*l**3) - 67*l**4 + 61*l**2 - 61*l**2 to the form m + n*l + a*l**2 + g*l**3 + i*l**4 and give i. -59 Rearrange -w**2 + 463516 - 1022*w - 463514 - 561*w - w**2 to the form r + p*w + u*w**2 and give r. 2 Express (0 - 5 + 3)*(-4*f + 488 - 488)*(-8*f**2 + 14*f**2 - 58*f**2) as s*f**2 + i*f + h + l*f**3 and give l. -416 Rearrange 715*v**3 - 711*v**3 - 109 - 605*v**2 + 602*v**2 to the form c*v**2 + m*v**3 + s + u*v and give u. 0 Rearrange 51*c**3 + 18 + 61 - 2*c + 9*c**2 - 77 to p*c**2 + r*c**3 + o + k*c and give o. 2 Rearrange -7 + 18*z - 1266*z**2 + 643*z**2 + 624*z**2 to the form v*z**2 + p + w*z and give v. 1 Express (-460*b - 6 - 3 + 491*b)*(-4 + 6 + 3) as n*b + l and give l. -45 Express -79 - 2*w**2 - 1059*w + 2117*w - 1071*w in the form l*w + d*w**2 + b and give l. -13 Rearrange 2600*l**2 - 252*l + 461*l - l**3 - 211*l to t*l**2 + g + j*l**3 + x*l and give x. -2 Rearrange 230*h**2 - h**4 + 1 + 1132*h**2 + 257*h**2 + 2*h**3 - 2*h**3 to the form b*h + s*h**3 + m*h**4 + n*h**2 + q and give m. -1 Express -83*h**3 + 3730 - 3729 + 81*h**3 - 3*h**2 - 18*h in the form l*h + j + a*h**3 + b*h**2 and give l. -18 Express (-6287 - 24376 + 4087 - 1161)*(-2*l**2 + 2*l**2 - 2*l**2 + 2*l - l**2 - 2*l + (1 - 1 - 2)*(l**2 + 2*l - 2*l)) as a*l**2 + i + w*l and give a. 138685 Rearrange 0*y**2 + 152 - 153*y + 50*y + 54*y + y**2 + 44*y to the form l*y + g*y**2 + n and give l. -5 Rearrange (-2*d + 2 - 4 - 1)*(-614*d**2 + 24586*d - 24586*d) to u*d**2 + q*d**3 + s + j*d and give q. 1228 Rearrange 26643*w**2 - 27920*w**2 + 5 + 0 - 5 - w to y + q*w + h*w**2 and give q. -1 Rearrange -16*v**2 - 111*v**4 - 2*v - 75 - 2*v**2 - 2*v + 5*v + 110*v**4 to r*v**4 + w + s*v**2 + a*v + b*v**3 and give s. -18 Express -14*b**2 - 3*b**2 + 38 + 21*b**2 + 0*b**2 as w*b + c*b**2 + s and give s. 38 Rearrange 0 - i - 3*i**4 - 12*i**3 + 8*i - 6*i + 46 - 19 to the form o*i**3 + g*i**4 + t*i**2 + n + w*i and give o. -12 Express -529 + 3*d**2 + 254 - 1107 - 737 + 299 in the form c*d + h + y*d**2 and give h. -1820 Express -9513*x**2 + 4238*x**2 + 161 - 161 - 7699*x**2 in the form l + f*x**2 + w*x and give f. -12974 Rearrange (0*j + 2*j - 4*j)*(-6517 + 5378 + 6010) to v + b*j and give b. -9742 Rearrange (z - 5 - 2 + 6)*(-1977 + 2484 - 1551 + z) to w*z + t*z**2 + x and give t. 1 Rearrange (-17*q + 27*q + 24*q)*(180 - 80 - 87 - 3*q) to the form r + p*q**2 + i*q and give i. 442 Rearrange g**3 + 4 - g**2 - 3 - g**2 - 39*g + 4*g**2 + g**4 - g**2 to f*g**3 + q + a*g**4 + u*g**2 + p*g and give a. 1 Express (-42*v**2 - 496 + 496)*(-25989*v + 25989*v - 397*v**2) in the form y*v + o*v**2 + i + b*v**4 + k*v**3 and give b. 16674 Rearrange -8*f - 11*f + 804 - 808 + 91*f to the form b*f + c and give c. -4 Express 596*y + 152*y**3 - y**2 - 5 - 302*y + 3 - 295*y as l*y**3 + v + j*y + d*y**2 and give d. -1 Rearrange 9*h**3 + 12*h**3 - 25*h**3 - 42 + 7*h**3 - 2 + 6*h to q*h**2 + z*h**3 + t*h + w and give w. -44 Express 50*b - 21*b - 2*b**2 - 49*b as j + v*b + h*b**2 and give v. -20 Express 7*m**2 + 5 - m**2 - 5*m**2 - 9*m - 2*m**2 + 9*m + 0*m**2 - 4*m**2 + 2*m**2 + (30 - 30 - 5*m**2)*(-3 + 0 + 4) in the form x*m**2 + s*m + n and give x. -8 Express -239*h**2 + 241*h**2 + 4 - 53*h**3 - 12 + h + 9 in the form s*h**2 + w + j*h + b*h**3 and give b. -53 Rearrange -109*q + 25*q + 38*q + 42*q - 50*q**2 - 1 to the form g*q**2 + s*q + t and give s. -4 Express -90 + 15 + r + 159 - 763*r**2 - 83 as z + v*r**2 + p*r and give v. -763 Rearrange -6*k - 2*k**2 + 8*k + 2 - 13*k**4 - 29*k**3 + 33*k**3 to o*k**2 + f*k**3 + p*k + g*k**4 + d and give o. -2 Express 0 + 21*q**2 - 96*q - 2 + 2*q**3 + 166*q**2 + 100*q - 16*q**2 in the form h*q**3 + b*q + j*q**2 + v and give b. 4 Express 8516*m - 4119*m + 8 - 4241*m in the form c + o*m and give o. 156 Express 69*x**2 - 19*x**2 - 52*x**2 - 13062*x in the form m*x + r*x**2 + d and give m. -13062 Rearrange (22 - 6 + 18)*(-21 + 21 - 7*r**3 + (0*r**2 - r**2 + 0*r**2)*(-2*r + 0 + 0)) to the form k*r**3 + f*r + y + p*r**2 and give k. -170 Express (-2 + 2 - y**2)*((-3*y - y - 2*y)*(-1 + 0 + 3) - 816 - 38*y + 816) as j*y + b*y**3 + f + n*y**2 and give b. 50 Rearrange (-2*k**2 + 0*k + 0*k)*(27 + 6 + 12) + (-5 + 3 + 4)*(3 - k - 3)*(3*k + k - 3*k) + (4*k - 7*k + k)*(-6*k + 7*k - 6*k) to v + f*k + h*k**2 and give h. -82 Express 40*r - 148 - 93 - 48*r - 27 in the form m*r + s and give m. -8 Rearrange (1802*f + 4 - 4 - 4651*f)*(4*f**2 - f**2 - 4*f**2) to the form t*f + a*f**2 + l*f**3 + h and give l. 2849 Rearrange -2264*w + 221*w + 1166*w - 2552*w to r*w + p and give r. -3429 Rearrange 2745*u - 21 - 16 - 11 + 48 to the form z*u + r and give z. 2745 Express -48062*d**2 + 48063*d**2 + 23*d - 6 - 623*d**3 - 22*d in the form q*d + y*d**3 + a*d**2 + j and give q. 1 Express (4 + 0 + 11)*(-2*h - 1 + 1)*(1 + h - 1 + 1)*(-45*h**2 - 6*h**2 + 3*h**2) as x*h**2 + j + a*h + i*h**3 + o*h**4 and give i. 1440 Express (-623 - 603 + 964)*(0*d + 13*d - 4*d) as r*d + k and give k. 0 Rearrange 40*u - 15*u - 38*u + 109 - 2*u**2 - 118 + 3*u**2 to the form k*u + q*u**2 + b and give b. -9 Express -67*i**2 - 81*i - 125*i - 21*i + 8*i**2 in the form o*i + q*i**2 + b and give o. -227 Rearrange 10*h + 15*h + 178*h**2 - 84*h**2 - 26*h - 456*h**3 + 1 - 95*h**2 to m + p*h**2 + x*h + q*h**3 and give p. -1 Express (-g - g + g)*(10291 - 5149 - 5143 - 2*g**2 + 1747*g) as x + z*g**2 + t*g**3 + v*g and give t. 2 Rearrange (p - p**2 - p)*(-151 - 6 - 90 + 8 + 35 - 84) to k + v*p + d*p**2 and give d. 288 Express 161 - 3*w - 161 + 11*w**2 - 28*w**4 - w**3 + 27*w**4 - 20*w as n + c*w**3 + k*w**2 + x*w + a*w**4 and give k. 11 Express 1433*x**2 + 1425*x**2 - 2831*x**2 - 2*x - 8*x**4 - 4*x**4 in the form i*x**3 + g*x**2 + a*x**4 + c*x + u and give c. -2 Rearrange -5*s - 13*s - 13*s + (-4 - 2 + 6 + 10)*(-28 + 3*s + 28) to w + q*s and give q. -1 Rearrange 2*a**2 - 6*a**4 - 3*a**2 - 490 + a + 3*a**4 - a**3 + 481 to j*a**4 + b + m*a + o*a**3 + i*a**2 and give j. -3 Rearrange (-4 + 3 + 0)*(2 - 2 - 1)*(-2 - 1 - 1)*(5 - 17 - 7)*(2 + 1 + 0)*(j + 2*j + 0*j) to the form t + v*j and give v. 684 Express (34*f**2 - 4*f**3 - f**3 + 3*f**3)*(-29*f - 569 + 70*f - 40*f) as g*f**2 + w*f + l*f**3 + j + s*f**4 and give g. -193
{ "pile_set_name": "DM Mathematics" }
h - 5*m. What is the tens digit of h? 1 Let f = 0 - -5. Suppose -f*g - 23 = -228. What is the tens digit of g? 4 Let l(q) = q + 7. Let b be l(-3). Suppose h = b*h + 15. Let j(x) = x**3 + 5*x**2 - x - 4. What is the units digit of j(h)? 1 Suppose -2*w + 532 = 5*u, 11*w - 9*w = 4*u - 440. What is the units digit of u? 8 Let k be (140/(-8))/5*-6. What is the units digit of (196/k)/(1/3)? 8 Let n(c) = c + 21. What is the units digit of n(18)? 9 Let h(s) = -4*s - 3. Let p be h(-3). Let k(l) = -l**2 + 12*l - 11. What is the tens digit of k(p)? 1 Let z = 146 + -85. What is the units digit of z? 1 Let z(k) be the third derivative of k**5/60 + 3*k**4/8 + 11*k**3/6 - k**2. What is the tens digit of z(-9)? 1 Suppose -3*u - 5*w = -5, 3 = -w + 4. Suppose u = 3*m + 1 + 20. Let b = 8 - m. What is the tens digit of b? 1 Suppose 5*z - 2*s = -5*s + 765, 0 = -z - 5*s + 153. What is the tens digit of z? 5 Suppose -2*m + 41 = 3*w, -m - 3*m - 4*w + 76 = 0. Let y(d) = d**3 + 3*d**2 - 2*d + 3. Let o be y(-3). Let h = m - o. What is the units digit of h? 7 Suppose 3*c = -14 + 65. Suppose -4*z + 23 = d + 2, -c = 2*z - 5*d. Suppose 0 = -3*y + 3, -z*r + 2*y = -0 - 10. What is the units digit of r? 3 Let t(o) = 12*o**2 - o. Suppose -4*g - 21 = -7*v + 2*v, -4 = g. What is the units digit of t(v)? 1 Let o(g) = g**2 - 8*g. Let q be o(9). Let z = q - 7. Let c(y) = 4*y**2 - y + 1. What is the units digit of c(z)? 5 Let d = -137 + 201. What is the tens digit of d? 6 Suppose -3*g = -118 - 182. Suppose -6*f = -10*f + g. What is the units digit of f? 5 Suppose -z + 5*a = -0*z - 104, -5*z = 3*a - 436. What is the units digit of z? 9 Let x(g) = 14*g**2 - g - 1. What is the units digit of x(-1)? 4 Let u be 66/8 + 3/4. Let y(t) = t + 11. What is the tens digit of y(u)? 2 Let g = -531 + 933. What is the hundreds digit of g? 4 Suppose 0*d + 3*f + 83 = -5*d, -3*f + 45 = -3*d. Let t(v) = -3*v + 5. Let a be t(-6). Let z = a + d. What is the units digit of z? 7 Suppose 5*h + 2*f - 50 - 39 = 0, -2*f - 81 = -5*h. What is the units digit of h? 7 Suppose 0 = 2*t - 23 - 33. Let q = -16 + t. What is the units digit of q? 2 Let x be (-2 + 1)*(-2 - 87). Suppose 0 = 4*v - c - x, 0*v + 3*c - 32 = -v. What is the tens digit of v? 2 Let g = 9 - 3. What is the tens digit of (-99)/(-5) - g/(-30)? 2 Let y(v) = 4*v**2 + 0*v + v**3 + v - 5*v**2 + 0*v + 11. Suppose 0 = -q + 3*q. What is the units digit of y(q)? 1 Suppose 2*f - 3*r + 5 = 0, -4*f - r = -f - 20. Suppose 55 = f*x + 5. What is the tens digit of x? 1 Suppose 121 + 583 = 8*a. What is the tens digit of a? 8 Suppose -6*z = -z - 125. What is the units digit of z? 5 Let v(j) = -5*j**3 + 8*j + 22. What is the hundreds digit of v(-4)? 3 Let k(c) = -9*c + 15. Let r(y) = -2*y + 3. Let z(h) = -2*k(h) + 11*r(h). What is the units digit of z(-3)? 5 Let t(i) = i**2 + 10*i + 14. Suppose 3*v + 34 = 4. What is the units digit of t(v)? 4 Suppose 4*f - 162 = -2*c, 2*f + 5*c - 159 = -2*f. What is the tens digit of f? 4 Let a be (3/(-2))/(7/(-14)). Suppose a*u = 8*u + 50. What is the units digit of (-6)/u - (-24)/10? 3 Let r(h) = h**3 + 4*h**2 - 3*h - 5. What is the units digit of r(-2)? 9 Let b be (-20)/(-5) - (0 + -1). Suppose 44 = -3*q + 4*a + a, -b*a = 5*q + 140. Let p = -15 - q. What is the units digit of p? 8 Let a(v) = v**2 + 8*v + 11. Let x = -4 + -6. What is the units digit of a(x)? 1 Suppose 797 + 3246 = 13*l. What is the hundreds digit of l? 3 What is the tens digit of 19*14*1 + (-4 - -1)? 6 Suppose -28 = 2*f + 24. Suppose 7 = -i - 1. Let g = i - f. What is the tens digit of g? 1 Let g = 191 + -133. What is the tens digit of g? 5 Let t(m) = -m**2 + 15*m + 22. What is the tens digit of t(9)? 7 Let x = 6 - -27. What is the units digit of x? 3 Let f(v) be the third derivative of -v**4/12 + 3*v**3/2 + v**2. What is the units digit of f(4)? 1 Let m(d) = -d**3 + 7*d**2 + 8*d. Let r = -9 - -17. Let n be m(r). Suppose n*u - 3 = -u. What is the units digit of u? 3 Let w(g) = 1 - 4 - 6*g - 1 + 0. Let i be w(-4). Suppose 5*d = -5*m + i, -d + 2 = 1. What is the units digit of m? 3 Suppose -4 = -3*x - 1. Let b be (x*-3)/((-6)/4). Suppose 0*t = 2*t - b. What is the units digit of t? 1 Suppose 4*y + 10 = -2*i, -3*y = -2*i + 4*i + 6. What is the units digit of i? 3 Let d(l) = 3*l + 3. Let r(v) = -v - 1. Let s(f) = -2*d(f) - 5*r(f). Let x be s(-7). What is the units digit of 1*(4 + x/3)? 6 Let j(t) = -t + 10. Let s(z) = -z**3 + 5*z**2 - 3*z - 4. Let a be s(3). Suppose 2*d - 31 = 4*y - a, 3*y = -12. What is the units digit of j(d)? 5 Suppose 0 = 3*k + p + 1, 4*k = -4*p - 17 + 5. Let n be (-10)/30 - 31/(-3). Let g = n + k. What is the units digit of g? 1 Let r = -328 - -527. What is the units digit of r? 9 Suppose -20 = -j - 3*j. Suppose -j*v = -v. Suppose -2*n + 10 + 2 = v. What is the units digit of n? 6 Let m = 52 - 27. What is the units digit of m? 5 Let b(g) = 2*g**2 + 5*g + 2. Let w be b(-3). Suppose -16 = -w*h + 29. What is the units digit of h? 9 Let k be (1 + 0 - 4) + -2. Let x = 16 + k. What is the tens digit of x? 1 Let y(d) = -3*d - 7 + 3*d + d - 3*d. What is the units digit of y(-6)? 5 Let d be 156/9 + (-4)/(-6). Let b = d - 13. What is the units digit of b? 5 Let j be -3*((-3)/9 - -1). What is the units digit of 1/j - 21/(-2)? 0 Let a = 0 + 3. Suppose 0*m - 51 = -a*m. What is the tens digit of m? 1 Let b(y) = -6*y**2 + y. Let k be b(2). Let d = k + 16. Let t(q) = -q**2 - 8*q - 7. What is the units digit of t(d)? 5 Let s = -157 + 198. What is the tens digit of s? 4 Let o be 1*-3*2/(-2). Let m be (-2)/8 - 82/(-8). Suppose 4*z = 3*f + m, o*f + 2 = 4*f. What is the units digit of z? 4 Suppose -3*r - 6*t + 119 = -4*t, r = -3*t + 35. What is the tens digit of r? 4 Suppose 6*o + 3*o - 1161 = 0. What is the tens digit of o? 2 Suppose 40 = l - 6*l. Let o = -7 - l. What is the units digit of o? 1 Suppose 0*t - 4*t + 18 = 5*b, -2*b - 5*t + 14 = 0. Suppose 0 = -n + 2*c - 5, 0 = -5*n + 3*c - 2 - b. What is the units digit of n? 1 Let h(w) = w**2 + 2*w + 38. What is the units digit of h(0)? 8 Let m(v) = v**3 - 2*v**2 - 4*v + 3. Let o be m(3). Suppose 0 = 4*p - o*p - 4. Suppose u - 5*k = 5*u - 10, u - p = -2*k. What is the units digit of u? 5 Let v be (-1 - 0)/((-1)/5). Suppose -3*p + 1 = -2*f - 4, 5 = -v*p. What is the units digit of 18/f*(-8)/6? 6 Let h(v) = 15*v**2 + 6*v. What is the tens digit of h(-3)? 1 What is the units digit of 4 - -15 - (-3 - -1)? 1 Let f = -3 - -32. What is the units digit of f? 9 Let v(r) = -6*r**2 - 8*r + 5. Let l(u) = -u**3 + u**2 - 1. Let w(p) = -l(p) + v(p). What is the units digit of w(8)? 6 Suppose k = -l + 5, -3*k + 5*l + 47 + 0 = 0. Let c(m) = 5 + 2*m**2 - 4 - m**2 - 7*m. What is the tens digit of c(k)? 1 Let a = 0 - -1. Suppose t - 2 = a. Suppose 0 = 5*k - 20, t*u = 4*k - k + 21. What is the tens digit of u? 1 Let o(b) = b**3 + 4*b**2 + b - 3. Let q be o(-3). Suppose z + 7 = q*a, z = -a + 3*z + 4. What is the units digit of a? 2 Let g(y) = y**2 - y + 4. Let v be g(0). Suppose z = 4, -3*z + v*z - 11 = -d. What is the units digit of d? 7 Let i be (-8)/14 + (-195)/(-35). Suppose -2*c = p - 50, -3*p + 120 = 5*c - i. What is the units digit of c? 5 Let g(h) = -19*h + 1. Let y be g(1). What is the tens digit of (-60)/y*18/4? 1 Let w(a) = -a**2 - 10*a - 4. Let x be w(-10). Let r(m) = 2*m**2 + 2*m - 3. What is the units digit of r(x)? 1 Let j be (-1 - -3)/(24/60). Suppose 16 = -3*s + j*s. What is the units digit of s? 8 Suppose -6 = 2*g - 3*p, 0 = 5*p - 19 - 1. Suppose -3*m + 2*w = m - 102, g*w - 155 = -5*m. What is the units digit of m? 8 Suppose -o - 644 = -2*b - 3*b, 4*b - 512 = 4*o. What is the hundreds digit of b? 1 Let a be 2/6*159/1. Let i = -38 + a. Suppose -z + i = 4*z. What is the units digit of z? 3 Let j(t) = t**2 + 74. Let l be j(0). Suppose -2*w + 4*m - 24 - 32 = 0, 3*w = m - l. What is the units digit of (9/(-12))/(2/w)? 9 Suppose -11 = 2*j - 29. Let y = -5 + j. Let r = -1 + y. What is the units digit of r? 3 Let v(h) = h**3 + 8*h**2 + 8*h - 2. Suppose 2*t + 20 = 4*o, o - 6 = -0*t + t. Let i = t + -4. What is the tens digit of v(i)? 2 Suppose 4*o = -o + 3*v, 0 = -4*o + 4*v. Suppose k + 1 - 7 = o. What is the units digit of k? 6 Let k(h) = -h**3 + 2*h**2 + 2*h - 4. Let w be k(4). Let c = -13 - w. What is the units digit of c? 5
{ "pile_set_name": "DM Mathematics" }
107*b - 13 - 501 - 449 = 0 for b. 9 Solve -185 = 68*b - 123*b + 585 for b. 14 Solve -115*b + 136*b + 157 = -53 for b. -10 Solve -245 = 5*q - 57*q - 193 for q. 1 Solve -35*x - 55 = 50 for x. -3 Solve -1927 - 5173 = 355*v for v. -20 Solve -14*t + 169 - 447 = -124 for t. -11 Solve -36*a + a - 209 = -16*a for a. -11 Solve 196 + 167 = -4*s - 29*s for s. -11 Solve -164 = 61*i + 28 + 113 for i. -5 Solve 969 = 2502*b - 2409*b - 798 for b. 19 Solve -2217*h - 4011 = -2408*h for h. 21 Solve 303*y - 4868 = -914*y for y. 4 Solve 27*r - 248 = 155 + 83 for r. 18 Solve 0 = 351*d - 41 - 3469 for d. 10 Solve 6*u + 224 = 164 for u. -10 Solve 19*s = 3*s + 43*s - 405 for s. 15 Solve 258*u = 2683 + 2477 for u. 20 Solve -81*i + 96*i - 195 = 0 for i. 13 Solve 876 = 43*i + 274 for i. 14 Solve -854 = -90*m + 89*m + 62*m for m. -14 Solve 4921 = -190*b - 209 for b. -27 Solve -99*h + 125*h = -312 for h. -12 Solve 610*c + 118*c + 4368 = 0 for c. -6 Solve -2999 = 1200*r + 4201 for r. -6 Solve 15387 = -4*m + 15395 for m. 2 Solve 134*p - 3641 = -197*p for p. 11 Solve 427 - 241 = -31*p for p. -6 Solve 0 = 37*o + 9502 - 9983 for o. 13 Solve 6*y + 25 = 22 - 3 for y. -1 Solve -35 - 17 = -33*g - 19 for g. 1 Solve 660*n + 84 = 653*n for n. -12 Solve 3026*a = 5981*a - 3017*a + 620 for a. 10 Solve 51*s - 456 + 87 = 10*s for s. 9 Solve 169*y = 585*y - 229*y - 1870 for y. 10 Solve 35*w + 445 = 46*w + 78*w for w. 5 Solve 58*r + 1888 = -7*r - 582 for r. -38 Solve -3*y - 135 = -96 for y. -13 Solve -31 = -9*r - 12 + 35 for r. 6 Solve -24*r = 17605 - 17749 for r. 6 Solve -1151 + 1115 = -3*q for q. 12 Solve 99*q - 26 = -299 - 717 for q. -10 Solve 21 + 35 = -56*d for d. -1 Solve -71132*b - 2624 = -70804*b for b. -8 Solve -465*r - 405*r = 138*r + 7056 for r. -7 Solve 149*c = -383 + 234 for c. -1 Solve -2210 = 344*q + 886 for q. -9 Solve 5215 - 4855 = -8*h + 68*h for h. 6 Solve -422*q + 24595 - 13201 = 0 for q. 27 Solve 0 = -126*v + 55*v - 497 for v. -7 Solve 0 = -54*h - 680 + 626 for h. -1 Solve 97*j + 600 = -43*j + 200*j for j. 10 Solve 247*d - 556*d - 1309 = -232*d for d. -17 Solve 1266 = -41*w + 1594 for w. 8 Solve 0 = -x + 24*x + 56 - 10 for x. -2 Solve 7*q + 3045 = 2975 for q. -10 Solve 14156 = -33*l + 14123 for l. -1 Solve -130*x - 1071 = -11*x for x. -9 Solve -4*k - 7 - 7 - 38 = 0 for k. -13 Solve 1213*r - 1632 - 24918 - 4988 = 0 for r. 26 Solve -32*q = -7*q + 9*q for q. 0 Solve -97*k - 19*k - 52*k - 2352 = 0 for k. -14 Solve 40 = 20*b - 15*b for b. 8 Solve -132*c + 84 = 360 + 1440 for c. -13 Solve -8*l - 28*l - 40*l - 1064 = 0 for l. -14 Solve -91*u + 12417 = 13145 for u. -8 Solve 0 = -24*q - q + 143 + 32 for q. 7 Solve -97*y = 82*y - 24 - 155 for y. 1 Solve -4*h - 519 = -551 for h. 8 Solve 415*v - 390 = 376*v for v. 10 Solve 123*a = -698 - 286 for a. -8 Solve -15*m - 2*m + 52999 - 52795 = 0 for m. 12 Solve 0 = -22*q - 228 - 22 - 36 for q. -13 Solve -2499*r = -2554*r - 275 for r. -5 Solve 6843*g - 6815*g = -728 for g. -26 Solve -9954*n = -10011*n - 1596 for n. -28 Solve -27*b = -56*b + 36*b - 49 for b. 7 Solve -178 + 1788 = -46*j for j. -35 Solve 367 = -40*g + 18 - 51 for g. -10 Solve -438 = 182*k - 328*k for k. 3 Solve 32*t - 20*t + 19*t = -217 for t. -7 Solve -41*w + 302 = 147 - 337 for w. 12 Solve -76*w + 20*w - 19*w + 1050 = 0 for w. 14 Solve 158*s - 319*s + 373 + 432 = 0 for s. 5 Solve 353*f = 277*f - 456 for f. -6 Solve 1127*k + 312 = -1122*k + 2197*k for k. -6 Solve 334*i = 452 + 2220 for i. 8 Solve -14*m - 32 = 7 + 31 for m. -5 Solve 0 = 102*k + 13 + 859 + 250 for k. -11 Solve -1040 + 272 = 18*i - 82*i for i. 12 Solve 0 = 33*d + 259 + 335 for d. -18 Solve 8*v + 319 = -12*v - 9*v for v. -11 Solve 1214 = -74*y + 252 for y. -13 Solve -71 = 7*p - 23 - 34 for p. -2 Solve -f = 24*f + 11*f - 180 for f. 5 Solve -65 = 31*k + 80 + 103 for k. -8 Solve -78961*t = -78982*t - 294 for t. -14 Solve 1700 = -44*c + 952 for c. -17 Solve 23*y + 27*y = 21*y + 261 for y. 9 Solve -285*g + 198 = 18*g - 1014 for g. 4 Solve 50*i + 19 = 69 for i. 1 Solve -2832*r = -2831*r - 7 for r. 7 Solve 38*f = -38*f + 42*f - 73*f for f. 0 Solve 175 = -80*p + 9*p - 180 for p. -5 Solve 0*u + 35*u = -21*u + 504 for u. 9 Solve -107*z - 1180 = -29*z - 400 for z. -10 Solve -17*i - 1239 = -1494 for i. 15 Solve 27*t = 46 - 8 + 16 for t. 2 Solve -14 = 38*c - 20 - 70 for c. 2 Solve 12891*i - 12935*i = 0 for i. 0 Solve 67*d - 408*d = 2518 + 4643 for d. -21 Solve 3899 = -105*h + 959 for h. -28 Solve -7935 = -1384*h + 1039*h for h. 23 Solve 0 = -43*k - 770 + 555 for k. -5 Solve -870 = 618*c + 15198 for c. -26 Solve 121*q + 1262 = 265 - 334 for q. -11 Solve -25*z + 556 = 581 for z. -1 Solve -27*c + 96 + 137 = -91 for c. 12 Solve -4503 = 242*g - 873 for g. -15 Solve 7953*m - 20 = 7943*m for m. 2 Solve 50*o + 91 = 125*o + 916 for o. -11 Solve -45*z + 162 = -113*z + 50*z for z. -9 Solve 706 - 9821 = -511*l + 594 for l. 19 Solve 0 = 1032*l - 1039*l + 56 for l. 8 Solve 30*o + 107 = 137*o for o. 1 Solve 130*v + 1774 = -523 - 43 for v. -18 Solve -78*j + 175 - 1503 = 76 for j. -18 Solve 2167 = 279*w - 2855 for w. 18 Solve -82 = 70*j - 62*j + 118 for j. -25 Solve 78 = -50*c - 306 - 16 for c. -8 Solve -41*l - 16*l + 165 = -633 for l. 14 Solve 720 = -126*m + 46*m for m. -9 Solve 290*g + 12560 + 44710 = -1619*g for g. -30 Solve -1962*g = -1972*g + 30 for g. 3 Solve -110*s + 156*s + 206*s + 1764 = 0 for s. -7 Solve -7*k + 152 = -42*k - 3*k for k. -4 Solve -59*c + 519 = -1605 for c. 36 Solve -82*t + 381 - 772 = 593 for t. -12 Solve 234 + 3527 = 366*n - 265 for n. 11 Solve 114*q - 49*q = -313*q - 8694 for q. -23 Solve 0 = -32*t - 384*t - 24*t - 1320 for t. -3 Solve -392*l + 30*l - 6804 = 205*l for l. -12 Solve -2*t + 30 = 71 - 19 for t. -11 Solve -113*r - 19*r + 528 = 0 for r. 4 Solve -1465 = -60*z + 569 - 354 for z. 28 Solve 12*j + 6 = -76 - 38 for j. -10 Solve 129*m + 418 + 1904 = 0 for m. -18 Solve 72*z + 2107 - 12790 = -1115*z for z. 9 Solve 368*s - 98*s = -306*s - 6912 for s. -12 Solve -338*y + 1022 = -149*y + 77 for y. 5 Solve -562*c = -433*c + 1419 for c. -11 Solve 35*t + 402 = -57*t + 25*t for t. -6 Solve -321*v = 170*v + 7856 for v. -16 Solve -2417*p + 309 = -2432*p - 66 for p. -25 Solve 37*y = 1055 - 1092 for y. -1 Solve -29*v + 457 = -153*v - 2519 for v. -24 Solve 2*h + 601*h + 1794 = 5*h for h. -3 Solve -2*t - 1445 = -1439 for t. -3 Solve 132*d + 1094 = -537 + 179 for d. -11 Solve -9799*c = -10038*c - 1673 for c. -7 Solve -408*n - 7104 = 36*n for n. -16 Solve -537 = -173*d + 37*d + 143 for d. 5 Solve -544*z + 558 = -593 + 63 for z. 2 Solve 50*h + 64 = -222 - 914 for h. -24 Solve 12*y - 55522 = -55762 for y. -20 Solve -21*m - 142 = 38 + 9 for m. -9 Solve 20*s + 28 = 5 - 97 for s. -6 Solve 34 = -59*l - 7 - 490 for l. -9 Solve -468*r - 62*r - 10*r - 7560 = 0 for r. -14 Solve -304*a - 2321 = 1023 for a. -11 Solve 2*h = -0 - 4 - 12 for h. -8 Solve -65*x = 17*x - 410 for x. 5 Solve 68*m + 773 = 229 for m. -8 Solve 0 = 70*b - 67*b - 27 for b. 9 Solve -1276*t - 2312 = -1495*t - 122 for t. 10 Solve -23*i + 128 + 332 = 69*i for i. 5 Solve 8*i - 29 + 54 = 41 for i. 2 Solve 0 = 38*g + 67*g - 62*g - 344 for g. 8 Solve 34*z + 2949 = 3595 for z. 19 Solve -12*u + 339 = 46*u + 861 for u. -9 Solve -5924*p = -5921*p - 9 for p. 3 Solve 52*f - 604 - 1137 + 441 = 0 for f. 25 Solve 31*a - 15*a = 33*a - 289 for a. 17 Solve -336*s + 773 = -1081*s - 717 for s. -2 Solve 14*x + 133 - 673 = 41*x for x. -20 Solve 4*k - 1132 + 1107 = -k for k. 5 Solve -36*w + 102*w - 774 = 23*w for w. 18 Solve 1664 = -107*w - 583 for w. -21 Solve 51*d = -72*d + 32*d + 3640 for d. 40 Solve -15*q + 40620 = 40845 for q. -15 Solve 324*t + 3 = 327*t for t. 1 Solve 29*u + 7871 = 7726 for u. -5 Solve 32*p + 29*p + 765 = 106*p for p. 17 Solve -856*n = -888*n for n. 0 Solve 122*a + 85 = -15*a - 1285 for a. -10 Solve -30*r + 6*r = -3*r - 63 for r. 3 Solve 1927 = 1414*f + 513 for f. 1 Solve 370 = 221*h - 3829 for h. 19 Solve 74 - 2 = 73*w - 293 for w. 5 Solve 297 - 242 = 28*f + 1147 for f. -39 Solve 925*w = -268*w for w. 0 Solve -129*h + 296*h + 440 = 147*h for h. -22 Solve -2601*i + 2571*i + 90 = 0 for i. 3 Solve -7*i - 4*i + 42 + 79 = 0 for i. 11 Solve 4087*s - 4118*s + 217 = 0 for s. 7 Solve -1375*i = -773 - 6110 - 1367 for i. 6 Solve 43*d = 20*d + 92 for d. 4 Solve 126 = -81*g + 123
{ "pile_set_name": "DM Mathematics" }
t replacement from upckkzj. What is prob of picking 1 j and 1 k? 2/21 Calculate prob of picking 1 m and 1 e when two letters picked without replacement from ivmegtmv. 1/14 Calculate prob of picking 2 h and 2 w when four letters picked without replacement from whhhhwhhpwhhwwwhwh. 21/68 Four letters picked without replacement from wqqqqqqqqqwqwqqwqq. What is prob of picking 3 w and 1 q? 14/765 Three letters picked without replacement from {k: 1, r: 6, i: 5, l: 1, z: 2}. Give prob of picking 2 z and 1 l. 1/455 Calculate prob of picking 1 v and 1 u when two letters picked without replacement from {i: 1, u: 5, v: 2, m: 5, b: 3}. 1/12 Three letters picked without replacement from {a: 2, z: 2, w: 9}. What is prob of picking 2 z and 1 a? 1/143 Calculate prob of picking 4 p when four letters picked without replacement from ppdd. 0 What is prob of picking 2 v and 2 d when four letters picked without replacement from znvzvnvvzdvdd? 6/143 Three letters picked without replacement from {m: 3, b: 1, v: 3, z: 1, k: 2}. What is prob of picking 1 m and 2 v? 3/40 Calculate prob of picking 3 m and 1 c when four letters picked without replacement from yycccmcykccddccmcmc. 5/1938 Two letters picked without replacement from {p: 2, t: 2, l: 6, v: 1, q: 3, n: 6}. What is prob of picking 1 t and 1 q? 3/95 Two letters picked without replacement from {q: 2, e: 3, i: 5, b: 3, p: 1, f: 1}. Give prob of picking 2 b. 1/35 What is prob of picking 1 z and 1 f when two letters picked without replacement from {f: 1, z: 1, b: 4, t: 11}? 1/136 Two letters picked without replacement from orfrrorrrrof. Give prob of picking 2 r. 7/22 Two letters picked without replacement from wowwwyewlettweee. What is prob of picking 1 l and 1 w? 1/20 Calculate prob of picking 2 b when two letters picked without replacement from {e: 1, y: 13, b: 3}. 3/136 Calculate prob of picking 2 a and 1 p when three letters picked without replacement from {a: 18, p: 2}. 51/190 Two letters picked without replacement from sisissssssssssssisss. Give prob of picking 1 i and 1 s. 51/190 What is prob of picking 1 g, 1 x, and 1 t when three letters picked without replacement from sxtgbgz? 2/35 What is prob of picking 1 f and 1 d when two letters picked without replacement from {d: 1, u: 8, f: 10}? 10/171 What is prob of picking 2 m when two letters picked without replacement from {v: 5, m: 2, u: 7}? 1/91 What is prob of picking 1 e and 1 f when two letters picked without replacement from {t: 1, e: 1, p: 1, g: 3, f: 1}? 1/21 Two letters picked without replacement from {p: 6, t: 1, j: 1, f: 1}. What is prob of picking 1 t and 1 p? 1/6 Calculate prob of picking 1 b and 1 e when two letters picked without replacement from {b: 1, e: 1, z: 1}. 1/3 Two letters picked without replacement from jccrvwwczvvvzww. What is prob of picking 2 v? 2/35 Four letters picked without replacement from {u: 1, c: 1, v: 5, b: 2, z: 4, d: 2}. Give prob of picking 1 d, 1 u, and 2 v. 4/273 Three letters picked without replacement from llllwlwwwlwl. What is prob of picking 1 w and 2 l? 21/44 Calculate prob of picking 1 f and 2 q when three letters picked without replacement from qfcjqjm. 1/35 What is prob of picking 4 n when four letters picked without replacement from noooonoxonn? 1/330 Three letters picked without replacement from vnh. What is prob of picking 1 n and 2 h? 0 Three letters picked without replacement from {o: 2, r: 5}. What is prob of picking 1 r and 2 o? 1/7 What is prob of picking 2 e and 1 o when three letters picked without replacement from ooeeooe? 12/35 Two letters picked without replacement from fffffff. What is prob of picking 2 f? 1 Calculate prob of picking 2 c when two letters picked without replacement from {z: 1, c: 7}. 3/4 Three letters picked without replacement from {w: 1, r: 1, g: 1, c: 3, z: 2, v: 4}. Give prob of picking 1 w, 1 c, and 1 z. 3/110 Calculate prob of picking 3 g and 1 s when four letters picked without replacement from {r: 1, e: 1, s: 9, p: 2, g: 5}. 1/34 Two letters picked without replacement from xxxxxffzxfxxf. What is prob of picking 2 x? 14/39 Two letters picked without replacement from {d: 4, u: 2}. Give prob of picking 1 u and 1 d. 8/15 Two letters picked without replacement from {e: 9, h: 1, c: 4, v: 1}. Give prob of picking 1 e and 1 c. 12/35 What is prob of picking 2 p when two letters picked without replacement from {k: 2, u: 3, t: 1, z: 9, p: 3}? 1/51 Three letters picked without replacement from dthvfvhdihttfv. What is prob of picking 2 t and 1 v? 9/364 What is prob of picking 1 s and 1 q when two letters picked without replacement from {q: 1, c: 1, y: 2, s: 2, j: 1, v: 2}? 1/18 Four letters picked without replacement from {i: 4, d: 1, e: 7, t: 2}. What is prob of picking 1 i, 1 t, and 2 e? 24/143 What is prob of picking 1 r and 1 y when two letters picked without replacement from oosorkkykkk? 1/55 Four letters picked without replacement from {w: 3, k: 10, p: 2, a: 3, m: 1}. What is prob of picking 1 k and 3 a? 5/1938 Calculate prob of picking 1 h and 1 n when two letters picked without replacement from yhnmheeeensnsenysen. 10/171 Four letters picked without replacement from kxxkjkxkjjxnkkxjxkj. Give prob of picking 1 n and 3 x. 5/969 Calculate prob of picking 1 h, 1 u, 1 z, and 1 k when four letters picked without replacement from ktzutzhp. 1/35 Two letters picked without replacement from {g: 1, o: 2}. What is prob of picking 2 g? 0 What is prob of picking 3 i when three letters picked without replacement from {n: 10, i: 4}? 1/91 What is prob of picking 2 l when two letters picked without replacement from {e: 5, l: 2}? 1/21 Two letters picked without replacement from {i: 1, l: 1, y: 1, o: 1, r: 1}. Give prob of picking 1 o and 1 r. 1/10 What is prob of picking 1 q and 1 j when two letters picked without replacement from {j: 1, d: 5, q: 1, f: 3, s: 4}? 1/91 Four letters picked without replacement from mmmcc. Give prob of picking 3 m and 1 c. 2/5 Two letters picked without replacement from ttrl. What is prob of picking 1 r and 1 t? 1/3 Calculate prob of picking 1 n, 2 f, and 1 c when four letters picked without replacement from cuffncy. 2/35 What is prob of picking 1 z and 2 w when three letters picked without replacement from {z: 1, w: 2, l: 5, x: 3, u: 3, o: 1}? 1/455 What is prob of picking 2 d when two letters picked without replacement from {d: 7, j: 4, n: 5, a: 3}? 7/57 What is prob of picking 3 z when three letters picked without replacement from zqzz? 1/4 Calculate prob of picking 2 o and 1 m when three letters picked without replacement from {z: 1, o: 3, i: 3, s: 1, l: 5, m: 2}. 6/455 Four letters picked without replacement from qqvqkqkkqkqvqvqv. Give prob of picking 4 v. 1/1820 Calculate prob of picking 2 j when two letters picked without replacement from ccccjcccccccccccccjc. 1/190 Three letters picked without replacement from {n: 8, v: 5, m: 7}. Give prob of picking 1 n and 2 m. 14/95 Four letters picked without replacement from rnnrrn. What is prob of picking 1 r and 3 n? 1/5 Two letters picked without replacement from gutuz. What is prob of picking 1 u and 1 z? 1/5 Two letters picked without replacement from {h: 2, m: 3}. What is prob of picking 2 m? 3/10 Calculate prob of picking 3 b when three letters picked without replacement from {b: 4, k: 5, d: 1}. 1/30 What is prob of picking 2 t when two letters picked without replacement from {o: 5, t: 2, p: 2}? 1/36 Four letters picked without replacement from mbssbsbb. What is prob of picking 4 b? 1/70 Four letters picked without replacement from {w: 3, t: 7}. What is prob of picking 4 t? 1/6 Two letters picked without replacement from {u: 3, e: 5, j: 1, g: 5, q: 6}. Give prob of picking 1 u and 1 q. 9/95 Four letters picked without replacement from {r: 1, h: 1, o: 1, z: 2, t: 1, a: 1}. What is prob of picking 1 a, 1 z, 1 o, and 1 t? 2/35 Calculate prob of picking 1 l and 3 z when four letters picked without replacement from lzmzlllzzzzlzlzzz. 36/119 What is prob of picking 1 i and 1 e when two letters picked without replacement from {c: 6, i: 7, e: 2}? 2/15 What is prob of picking 1 o and 1 g when two letters picked without replacement from orggr? 1/5 What is prob of picking 3 a when three letters picked without replacement fr
{ "pile_set_name": "DM Mathematics" }
560)*3)/(-3*(sqrt(5) - (sqrt(35)/sqrt(7) + sqrt(5))*6))). -48*sqrt(7)/11 + 12 Simplify (0 + (sqrt(612)*-2)**2 + -4 - ((sqrt(17) - sqrt(425)) + -3 + (sqrt(17) - ((sqrt(1700)*1 + sqrt(1700))**2 - sqrt(1700) - sqrt(17))) + sqrt(17)))*6 + 0. -54*sqrt(17) + 55482 Simplify (-3*(-1 + sqrt(425) - sqrt(425)) - (2 + sqrt(425) + -3) - (sqrt(425)*-2 + -5 + sqrt(425))*-4*6)**2. 29000*sqrt(17) + 279081 Simplify (sqrt(833) + 0 + -2 + 1)*-2 - ((3*(sqrt(833) + 1) - 5*(0 + sqrt(833))) + 5)**2. -3394 + 210*sqrt(17) Simplify -1*(((sqrt(405)*-1 + sqrt(405))*5)**2 - (-1 + sqrt(405) + 1) - 6*(5 + 6*sqrt(405) + sqrt(405)))*1. 30 + 387*sqrt(5) Simplify -5*(-1*4*sqrt(5616))/(sqrt(24)/(5*sqrt(8)*-3)). -3600*sqrt(13) Simplify -5 + 6*(sqrt(10)/(sqrt(2) + sqrt(2) + sqrt(8)) + sqrt(40)/(sqrt(8) - sqrt(72)) - (-2*sqrt(720))**2). -17285 - 3*sqrt(5)/2 Simplify (((sqrt(170) - (sqrt(170) - sqrt(170)*-2*-5))/(-1*sqrt(10)*-4) - (((sqrt(34)/sqrt(2) - sqrt(17))*6 - sqrt(17)) + 1 + sqrt(17) + 3)) + -2)**2. -30*sqrt(17) + 569/4 Simplify (4*(1*sqrt(99) - sqrt(99)) + sqrt(99) + 3*(sqrt(99) + (3*sqrt(99) - sqrt(99))))/(-1*-5*sqrt(108)/(sqrt(12) - sqrt(192))). -6*sqrt(11) Simplify ((-2*5*sqrt(114) + sqrt(114))*-1)/(sqrt(54)/(sqrt(90)/sqrt(10))*-5) + -3. -9*sqrt(19)/5 - 3 Simplify 1*(3 + -1 + sqrt(275))**2 + -4 - ((sqrt(176)*-1 - sqrt(44))/((sqrt(48)/sqrt(2))/sqrt(6)) + 5). 23*sqrt(11) + 270 Simplify ((sqrt(66) - (sqrt(66)*1 + sqrt(66)))*-3 + (sqrt(66) + (4*sqrt(66) - sqrt(66) - sqrt(66)) + sqrt(66))*-2)/(sqrt(162)/(sqrt(27)*-1)). 5*sqrt(11) Simplify (((sqrt(243) + 0)*4 - ((sqrt(243)*-2 + 4 - sqrt(243)) + sqrt(243))) + 3 + 5)**2*-1. -8764 - 432*sqrt(3) Simplify 5 + 1*2*(sqrt(209) + (2*-2*sqrt(209) - sqrt(209)) - (sqrt(209) - (sqrt(209) - 1*sqrt(209)*2)))/(3*2*sqrt(99)). -2*sqrt(19)/3 + 5 Simplify 2 + (-5 + 3*(sqrt(2299) + 3 + sqrt(2299) + sqrt(2299))**2 + sqrt(2299)*4 + -5)*-5*-5. 15950*sqrt(19) + 1552252 Simplify ((sqrt(39)/(sqrt(9)/(sqrt(15)/sqrt(5)) + sqrt(3)))**2 - (sqrt(13) + 1*sqrt(1573))*-2)*-6*-4. 78 + 576*sqrt(13) Simplify (-6*((1*sqrt(320) - sqrt(320)) + sqrt(320)))/(sqrt(360)*5*-6 - sqrt(360)). 4*sqrt(2)/31 Simplify (sqrt(3) + (sqrt(180)/sqrt(10))/sqrt(6) + -1*(5 + sqrt(3)) + sqrt(3) + -4 + 0 + sqrt(3) + sqrt(1089)/sqrt(3))**2. -252*sqrt(3) + 669 Simplify -4*(4*(-2 + -4 + ((sqrt(114) - (sqrt(114) - (sqrt(114) + -5*(2*sqrt(114) - sqrt(114))))) + sqrt(114))/((sqrt(24)*-1)/sqrt(4))))**2. -13248 + 2304*sqrt(19) Simplify (sqrt(18) + (sqrt(18) - sqrt(36)/sqrt(2)))/sqrt(6) + -2*(1 + sqrt(3) - sqrt(3)) - ((sqrt(72) + sqrt(72)*1)/sqrt(4))/(sqrt(162)/sqrt(3)). -2 + sqrt(3)/3 Simplify -5*((sqrt(1900)*-1 + -1)*1 + (-2 + sqrt(1900) - sqrt(1900)) + -4 + 2*sqrt(1900)*2)**2. -85745 + 2100*sqrt(19) Simplify -6*((-5*sqrt(84)*1)/sqrt(4))/(-2*sqrt(448)*1). -15*sqrt(3)/8 Simplify ((-5*sqrt(132)*1 + (sqrt(132) - (sqrt(132) - 5*sqrt(132))*4) + sqrt(132))/(-4*(sqrt(192) - (sqrt(192) - (4*sqrt(192) - sqrt(192)))*-2)))**2. 1859/2304 Simplify (-2*(-3*sqrt(132)/sqrt(4) - sqrt(3993)*1))/((sqrt(180)/sqrt(6))/sqrt(10) + sqrt(18)/sqrt(6)*3). 7*sqrt(11) Simplify 3*(sqrt(171)*-1 + 0 + sqrt(171))**2 + -3 - ((-1*sqrt(76)*-1)/(sqrt(12)/(sqrt(27) + sqrt(3))))**2*2. -611 Simplify (-4 + sqrt(567) + 4 + -3 + -3 + -4)**2 + 1 + 2. -180*sqrt(7) + 670 Simplify (sqrt(190)*-3*-6)/(sqrt(10) + (sqrt(60)/sqrt(6)*2 - sqrt(10))) + (sqrt(152)/(sqrt(24)/sqrt(3)*-6) - (sqrt(19) + 1 + 4 - 2*sqrt(19)*1)). -5 + 59*sqrt(19)/6 Simplify (2 + sqrt(891)*2*2 + 2)**2 - ((sqrt(66) - sqrt(66)*2)*-4)/(sqrt(24)/sqrt(4)*6). 862*sqrt(11)/3 + 14272 Simplify (-5*(-1 + (sqrt(475) - -2*1*sqrt(475))))**2 + sqrt(114)/((-1*sqrt(72))/sqrt(12))*-3 + 3. -747*sqrt(19) + 106903 Simplify (-1 + (1*sqrt(750)*1)/((-6*sqrt(80)*2)/sqrt(8))*-4)**2. -10*sqrt(3)/3 + 28/3 Simplify (5*(sqrt(70) - (sqrt(70) + 3*sqrt(70)))*-1*-1)/(-1*sqrt(1000) - (sqrt(80)/(sqrt(48)/sqrt(6)) + sqrt(10))). 5*sqrt(7)/4 Simplify ((3*sqrt(19) + -3 - sqrt(152)/(sqrt(24)/sqrt(3))) + (sqrt(152)/sqrt(4)*-6)/(2*sqrt(128)))**2. -39*sqrt(19)/4 + 3787/64 Simplify (-5*2*sqrt(99) + sqrt(99) + sqrt(99)*5 + 4)**2 - (-1 + (sqrt(99) - (sqrt(99) + 0 + 5)) + 1)**2. -96*sqrt(11) + 1575 Simplify (sqrt(567) - -6*sqrt(567)*2 - -3*(sqrt(567) + 1)) + 5*((sqrt(567) - (sqrt(567)*1 + sqrt(567)))**2 + -3 + 1). 144*sqrt(7) + 2828 Simplify (-5 + -1*sqrt(8)*-2)*4 + (((-2*sqrt(24))/sqrt(6))/(sqrt(8) - sqrt(72)))**2. -39/2 + 16*sqrt(2) Simplify (5*(sqrt(26)/sqrt(2) + 5) - (sqrt(39)/sqrt(3)*-2 + sqrt(52)/sqrt(4) + sqrt(13) + 3)**2) + (1 + (-1 + sqrt(208) + 1 - sqrt(208)))**2*-1. 15 + 5*sqrt(13) Simplify (sqrt(245) - (sqrt(245) + 0 - sqrt(245)) - (sqrt(5) + 2 + sqrt(5) + sqrt(5))*-6)**2 + 1 + -4 + 3*sqrt(320) + (-3 + sqrt(320))*4. 656*sqrt(5) + 3254 Simplify ((-1*(-2*sqrt(1008)*1 + sqrt(1008))*3 + 4*(-5 + sqrt(1008)*-1) + 0)*-6)**2. 17280*sqrt(7) + 50688 Simplify ((3 + sqrt(272)*1 + sqrt(272) - (-3*(1 + sqrt(272) + sqrt(272)))**2) + 4 + (-5*(sqrt(272) + 2)**2 - sqrt(272)) + 5 + sqrt(272)*1)*-2. 432*sqrt(17) + 22338 Simplify 1 + -5 + ((-4 + sqrt(200))**2 + sqrt(2))*2 + sqrt(22)/(sqrt(11) + 3*sqrt(11)) + sqrt(10)/sqrt(5)*3. -619*sqrt(2)/4 + 428 Simplify 2*(sqrt(34)/sqrt(2) + -2) - sqrt(170)/(2*(sqrt(10) - sqrt(40))) - (-1 + (-2*sqrt(17)*3 + 5)*-5). -55*sqrt(17)/2 + 22 Simplify 5*4*(-2 + (-5*(1 + sqrt(76)) + 5)*1)**2*-4. -152320 - 3200*sqrt(19) Simplify ((sqrt(110)/(sqrt(88)/sqrt(1152)))/(1*sqrt(72)*-1))**2*1. 20 Simplify (((0 + 3 + sqrt(98) + -2)**2 - -2*(1 + sqrt(98) + 4)) + 2)*-1 + -3. -114 - 28*sqrt(2) Simplify ((2*sqrt(40)/((sqrt(72)*3)/sqrt(9)))**2 - (-1 + -1 + sqrt(180) + sqrt(5) + 4)) + 3. -7*sqrt(5) + 29/9 Simplify -5*(-1 + (-2 + (-1*sqrt(3) + 1)**2 + ((sqrt(363)*1 - sqrt(363))**2 - sqrt(363) - sqrt(363)) - (3 + 2*sqrt(3) + 3 + -2))). 15 + 130*sqrt(3) Simplify ((-2*sqrt(1210)*1 - sqrt(1210))*3)/(-4*sqrt(3200)*-1). -99*sqrt(5)/160 Simplify 2 + ((-2*sqrt(72) + sqrt(72) + 3)*2 + (2 + 0 + sqrt(72))*-3)**2. 1802 Simplify -2 + 5 + 5*(((-2 + sqrt(2) + sqrt(2)*-1)*-3)**2 + 1*1*sqrt(2)*-3). -15*sqrt(2) + 183 Simplify (6*(-3*sqrt(6)*3*-6)/(sqrt(18)/(sqrt(144) + (sqrt(144) - sqrt(144)*-4))))**2. 181398528 Simplify (2*sqrt(132)*-4)/(sqrt(15)/sqrt(125) - sqrt(48)*6). 80*sqrt(11)/119 Simplify (((sqrt(2448) + 3)*-4)**2 - 6*(sqrt(2448) + sqrt(2448) + 3)**2) + (-1*sqrt(2448) + sqrt(2448) + 0 + sqrt(2448) + (sqrt(2448) + 1)*-2 + 1)**2. -17045 + 312*sqrt(17) Simplify (5 + sqrt(19) + sqrt(76) - (sqrt(152)*2)/sqrt(8))*1 + sqrt(1216) + 0 + -5 + 5*(sqrt(1216) + (sqrt(1216) + 0)**2). 49*sqrt(19) + 6080 Simplify -4*-2*3*(sqrt(208) + (sqrt(208) - sqrt(208)*-1))**2 + (4 + 2 + sqrt(208) + -2 + sqrt(208) + -4)**2. 45760 Simplify -1*(3*(4 + ((sqrt(560) + (sqrt(560)*-2 + sqrt(560) - sqrt(560)))/sqrt(10))/(sqrt(24)/sqrt(3)*-6)))**2. -583/4 - 12*sqrt(7) Simplify ((3*-4*(sqrt(4752) + -3*sqrt(4752) - sqrt(4752) - sqrt(4752)))/((sqrt(21) + sqrt(126)/(sqrt(18)/sqrt(3) + sqrt(6)))/(-2*sqrt(343))))**2. 317915136 Simplify 2 + -4 + (-4*(sqrt(10) + 5*sqrt(10))*-2)/(6*(sqrt(5) - (sqrt(5) - -1*sqrt(5))) + sqrt(5) + (-2*sqrt(500) - sqrt(500))). -2 - 48*sqrt(2)/35 Simplify (6*-6*(2*(sqrt(320) + -1) + 5 + (sqrt(320)*1 - sqrt(320)))*3 + 3)**2. 1109376*sqrt(5) + 15032961 Simplify (-2*4*(3 + sqrt(1008)))**2 + ((3*(sqrt(189) + (sqrt(189) - -2*sqrt(189))) + sqrt(189))/sqrt(3))**2. 4608*sqrt(7) + 75735 Simplify (-1 + 3*sqrt(1331)*2*-2 + (1 + sqrt(55)/sqrt(5) + sqrt(11)*-2*4)*4)**2. -960*sqrt(11) + 281609 Simplify (4*(2*sqrt(1053)*-4 + 2 + 4*sqrt(1053))*-6 + 4)**2. -76032*sqrt(13) + 9706384 Simplify (-4*4*(3 + sqrt(68)*-2 + 0 + 5 + (sqrt(68) - (sqrt(68) + -4 + -4))))**2. -32768*sqrt(17) + 135168 Simplify (4*((sqrt(114) - sqrt(114)*1)*-2 - sqrt(114))*-4)/(-5*(sqrt(600) + 1*sqrt(600))*1). -4*sqrt(19)/25 Simplify 1 + -2*(-1 + 3*sqrt(225)/sqrt(5) + 2 + sqrt(180) + 4). -30*sqrt(5) - 9 Simplify ((sqrt(312) - 5*(sqrt(312)*-1 - sqrt(312))) + sqrt(312)*-1*-1 + sqrt(312))/(sqrt(24)/(-1*sqrt(324))). -234*sqrt(13) Simplify ((-1*sqrt(72) + sqrt(18))*-4*-2)/((2*sqrt(96) - (sqrt(240) + sqrt(60))/sqrt(10))*3). -8*sqrt(3)/15 Simplify (5 + -1*(6*(4 + sqrt(243) + -1) - (-1 + sqrt(243) + -3)*-1) + 4)**2. 630*sqrt(3) + 11932 Simplify -1*(-4*3*(sqrt(133) - (sqrt(133)*1 + sqrt(133))))/((2*sqrt(189)/sqrt(3))/sqrt(9)) + -5. -6*sqrt(19) - 5 Simplify -4 + (((sqrt(352) + (sqrt(352)*-2 - sqrt(352
{ "pile_set_name": "DM Mathematics" }
160 (d) 0 (e) -2/5 b Let t = 1.382 - 0.382. Let b = 103/981 + 2/327. What is the third smallest value in 0.6, -2/7, b, t? 0.6 Let w be 7/1 + (-209)/38 - (-1)/(-6). What is the second biggest value in 7, -2, -16, 3, w? 3 Let d = -2456.327 - -2455.7. What is the biggest value in d, 3, 4/3? 3 Let g = -27218 + 27218. Let i = -8 + 7.7. What is the second smallest value in 4, i, 4/23, g? g Let t = 93 + -87. Let r(g) = -g + 1 - t + 1 - 11. Let p be r(-14). Which is the third smallest value? (a) -1/5 (b) 2 (c) -1/3 (d) p a Let y(w) = -w**3 + w**2 + 7*w - 3. Let i be y(3). Suppose -5*u - 24 + 9 = 0. Which is the fourth biggest value? (a) 1/32 (b) -1/6 (c) u (d) i c Let c be 2/12 - 66/(-36). Let a = 1864.4 + -1864. Let g = 0.1 - 0.1. What is the third biggest value in g, c, a? g Let r be 324/(-432)*(-10)/(-9). Which is the second biggest value? (a) 5 (b) -19 (c) r c Let v = 5847 + -5845. Let a = 0.2 - 0. Let m = -0.3 + a. What is the second biggest value in m, 5, v? v Suppose -14*g + 17*g - 19 = 2*m, 0 = -4*g - 4*m - 8. What is the second biggest value in -5, 0.1, -0.16, g? 0.1 Let r = 5420 - 5417.3. Which is the third smallest value? (a) -6.7 (b) 2/15 (c) -1 (d) r b Let j = -15135 + 181619/12. Which is the fourth smallest value? (a) 6/5 (b) j (c) 0.2 (d) 14 (e) -2/9 a Let t = 15979 - 15992. Which is the biggest value? (a) -0.2 (b) -2 (c) 48 (d) t c Let u = 301.1 - 318. Let o = 14.4 + u. Which is the biggest value? (a) 3/4 (b) 1 (c) o (d) 2 d Let k = -0.6 + 0.5. Suppose -21*t - 4035 = -4098. Which is the fourth biggest value? (a) 0 (b) k (c) 0.5 (d) t b Let a = 8493 - 8493.5. Let q = -14 - -21. Let v = q - 5. What is the biggest value in a, -1/3, v? v Let m = -4425 + 4424. Which is the fourth biggest value? (a) m (b) 0.1 (c) 24 (d) -5 d Let k = 1 + -0.9. Let y = 91.82 - 93. Let t = -0.98 - y. Which is the second smallest value? (a) k (b) 3 (c) t (d) -0.5 a Let w = -30 + 59/2. Suppose -58*x - 79 = -97 + 134. What is the fourth biggest value in -2/3, -3/4, x, w? x Let p be (0/(-6) - -5)/2 - 284/360. Which is the smallest value? (a) -1/2 (b) p (c) -1/12 (d) -1 d Let h = 12409 + -49639/4. What is the fifth biggest value in -5/11, -1, 13, h, 4? -1 Let p = 4236 - 4247. What is the second biggest value in p, -5, -2/5, -3? -3 Let s = -8 + 10. Let t = 306 + -301. Which is the biggest value? (a) s (b) 1/6 (c) t (d) -5 c Let b = 29 + -67. Let j = 42.273 + -0.273. Let q = b + j. What is the biggest value in q, -0.04, -4/7? q Let x(i) = 6*i**3 - i**2 - 3*i + 1. Let y be x(2). Suppose -38*q + 2 = -y*q. Let w = 0 - 0.2. Which is the third biggest value? (a) q (b) w (c) 0.2 (d) 0 b Let x = -346 - -375. Let i = x - 28.6. Which is the fourth biggest value? (a) -5/2 (b) -2 (c) -4 (d) i c Suppose -50*f - 136 = -386. What is the smallest value in 1/3, f, -4, 20? -4 Let j(b) = 198*b - 3370. Let x be j(17). What is the third biggest value in 14/5, 0, 2/81, x, -3? 0 Suppose 4*g = 10*g - 48. Let s be g/30*(29 - 26). Which is the biggest value? (a) -0.27 (b) 3 (c) s b Let f = 0.381 + 82.819. Let i = 67.2 - f. Which is the smallest value? (a) i (b) 0.5 (c) -2 a Let l = -452.3 - -450. Let k = l + 1.8. Let r be (-2)/4 + (-1)/(-4). Which is the smallest value? (a) -0.1 (b) r (c) k (d) 4 c Let k = -477 + 473. Let p be 14/(-12)*9/(-28). Let s(i) = -i**3 + 7*i**2 - i + 6. Let z be s(7). Which is the third biggest value? (a) k (b) z (c) p a Let p = 365 + -378. Let o = p - -14. Which is the second biggest value? (a) -0.3 (b) 18 (c) -0.01 (d) o d Let k = -3.4 + -11.6. Let g = k - 9. Let u = -16 - g. Which is the third smallest value? (a) 0.2 (b) u (c) -3 b Let l = -1.025 + 1. Let r = -103.03 + 103.33. Which is the smallest value? (a) 5 (b) r (c) l c Suppose 2*j - x + 6 = -3*x, 3*j + x + 7 = 0. Let l = 3.3 + -3.697. Let g = -4.397 - l. What is the biggest value in j, g, 0.4, -4/5? 0.4 Suppose 43*q = 48*q + 1050. Let n be (q/2975)/(3/(-5)). Which is the second smallest value? (a) 1/4 (b) 0.4 (c) n (d) 0.3 a Suppose 69 = -6*x + 981. Let o be (-1 - (-202)/210)/(x/(-380)). What is the smallest value in -4/5, o, -1? -1 Let q be 68/51 + 50/30. Which is the second biggest value? (a) -1.73 (b) 1/2 (c) q b Let x = 196 - 70. Let n = -1606 - -1605.8. What is the second smallest value in n, x, 0? 0 Let f be (-2)/39 - 65790/(-105651). Which is the third biggest value? (a) -5 (b) -2/3 (c) f (d) 1/3 (e) 32 d Let q = 364.95 + -360.95. Which is the smallest value? (a) 31 (b) 5 (c) 0 (d) q (e) -3/8 e Let q = 2.2831 + -2.2321. What is the fourth biggest value in -1, 2/3, 0.2, q, 0.1? q Let z = 28234.09 + -28234. Which is the second biggest value? (a) 30/11 (b) z (c) -4 b Let k be 176/(396/(-18)) - 60/(-9). Which is the smallest value? (a) -0.4 (b) k (c) -2/11 (d) -603 (e) 2/11 d Let h be 1/3 + (-20)/6. Let s = 128 + -124.53. Let d = s - 3.37. What is the smallest value in 15, d, h? h Let k = 36.5 + 25.5. Let d = -62 + 5. Let o = k + d. Which is the smallest value? (a) 2 (b) 8 (c) o a Let d = -2824.1 + 2828. Which is the second biggest value? (a) 6 (b) d (c) 0.3 b Let u = -0.9796 + 1.1796. Which is the smallest value? (a) 16 (b) -5 (c) u (d) -1 (e) 0.3 b Let m = 84277.4 + -84277. Let g = 0.1 - 0.3. What is the third biggest value in 0.3, m, 3/4, g? 0.3 Suppose -9457*f = -9449*f + 464. Suppose -94 = -4*u + 134. Let m = f + u. What is the smallest value in 0, 1, m, -4? -4 Suppose -695 = 19*i + 70*i + 50*i. Let l = -1.4 - -1. Let k = l + 5.4. Which is the third biggest value? (a) i (b) -1/5 (c) k a Let t be 2*((-12)/(-76))/3. Let o = 17788.3 - 17788. Which is the second smallest value? (a) t (b) o (c) -9/4 a Suppose 4*y - 26 = 2*b, -4*y + 29 = -981*b + 976*b. What is the fourth smallest value in b, -0.06, -4/5, 5/3? 5/3 Let a = -1276 + 890. Let h = 390 + a. What is the second biggest value in -0.15, h, -0.5? -0.15 Let i = 0.5 - -1.5. Let s be (-120)/14*((-462)/4)/(-11). Let z = s - -541/6. Which is the biggest value? (a) i (b) -4 (c) z a Let z = -0.5 - 2.5. Let i(h) = 7*h**2 - 8*h - 49. Let o be i(-6). Let l = o + -250. Which is the second biggest value? (a) 0.3 (b) l (c) 0.1 (d) z a Let y = -353 - 59. Let j = y - -415. Which is the fourth smallest value? (a) -2 (b) -5 (c) 5 (d) j c Let r be (5/((-50)/8))/2. Let u be ((-6)/10)/(3 + 56/(-20)). Let a be (-8)/(-20) + 196/60 + u. What is the smallest value in -4, r, a, 0.5? -4 Let q(u) = u - 20*u**2 - 23*u**2 + 41*u**2 - 2*u**3 - 1. Let h be q(0). Which is the biggest value? (a) -2 (b) -1/3 (c) h b Suppose -19*d = 5*f - 10*d + 35, -d + 69 = -4*f. Which is the second smallest value? (a) 3 (b) f (c) 0.5 c Let m = -4139 - -4143. What is the smallest value in 1/7, m, 0.2, 42/19, -6? -6 Let i(g) = g**2 - 24*g + 68. Let u be i(3). Let q = 294 - 658. Let s = 6190/17 + q. Which is the third smallest value? (a) u (b) 0.2 (c) s (d) 0 b Let d be (-2)/4 - (513/(-162))/19. What is the fourth biggest value in d, -0.2, -2/71, -1? -1 Suppose -v + 21 = -2*w, -16 = -4*v - 4*w - 4. Which is the fourth smallest value? (a) 2/9 (b) 0.1 (c) -0.09 (d) v d Let f be -2*(-8)/(-21 + 13). What is the biggest value in -0.8, 5, 2, f, 5/2? 5 Let q be (21 + 208/(-8))/1. What is the fourth smallest value in q, 1/6, 0.2, -1319? 0.2 Let i be 2/6 - (4 + 621/(-162)). Which is the second smallest value? (a) -2 (b) 5 (c) i c Let i(s) = s**2 + 9*s + 3. Let p be i(-7). Let k = -11/2 + 5. Suppose h = 6*h + 10. Which is the second biggest value? (a) k (b) p (c) h c Let r be 6/(-4) + (-13825)/1950. Let o = r + 90/13. Which is the third biggest value? (a) 1 (b) o (c) 0 (d) -1/3 d Let b = -883787/285 + 3101. Let h = b - 556/1995. Let i = -41.15 - -36.15. What is the second smallest value in h, 3/7, 0, i? h Let w be 7/3 - -1*(-36)/54. Suppose 4*x + 163 = -i, 5*i - x + 128 = -792. What is the third biggest value in i, w, 2? i Let u = 253 - 2789/11. What is the second smallest value in -13, u, 3, -1.6? -1.6 Let a = -2613 + 2633. What is the second smallest value in -0.2, a, 4? 4 Let n be 2/84*3*-2278. Let o = 163 + n. Let d = 0.146 + 0.054. Which is the second biggest value? (a) o (b) d (c) 5 a Let r = 70 + -72. Let x be 10/6*20/(-100). Which is the th
{ "pile_set_name": "DM Mathematics" }
ded by h(3)? 2 Suppose h - 7 = -0*h. Let s(b) = -b**2 + b + 20. Let m(j) = -j**2 + 7*j + 8. Let k be m(8). Calculate the remainder when s(k) is divided by h. 6 Suppose -2*g = 2*g - 8. Let u(w) = 4*w. Let a be u(g). Suppose -5*k + a + 37 = 0. What is the remainder when k is divided by 5? 4 Let h(y) = 6*y + 10. Let n be h(-4). Let k = n - -24. Let i(a) = a**3 - a**2 - a + 37. What is the remainder when i(0) is divided by k? 7 Let v = -84 + 167. Calculate the remainder when v is divided by 28. 27 Let r = 11 + 10. What is the remainder when 39 is divided by (-8)/(-3)*r/4? 11 Let x = -4 - -8. Calculate the remainder when 10 is divided by x. 2 What is the remainder when 14*(90/(-140))/((-3)/16) is divided by 25? 23 Let x = 12 - 0. What is the remainder when 23 is divided by x? 11 Let r = -59 + 62. What is the remainder when (8/(-6))/((-4)/18) is divided by r? 0 Suppose 4*m + 144 - 148 = 0. What is the remainder when (-1)/(-1*1) - -1 is divided by m? 0 Suppose 13 + 9 = -2*g. Let o(m) = -m**2 - 12*m + 2. Calculate the remainder when 51 is divided by o(g). 12 Suppose -31 = -3*d - n - 0*n, 2*d + 2*n - 22 = 0. Let k = -1 + d. Calculate the remainder when ((-1)/(-1))/((-4)/(-60)) is divided by k. 6 What is the remainder when 101 is divided by (5/(-2))/((-85)/884)? 23 Let p = 154 + -138. What is the remainder when 62 is divided by p? 14 Suppose -2*a - 1 = 5. Let m(r) = -17*r - 1. Let q be m(a). Suppose 5*b - 10 - q = 0. Calculate the remainder when b is divided by 7. 5 Let f be (-1)/(((-6)/2)/27). Suppose -30 = -2*o + 4*q, 2*q = -2*o + f + 9. Calculate the remainder when 30 is divided by o. 8 Suppose 370 = 4*x - 0*x + 3*j, -354 = -4*x + 5*j. Suppose -5*m - 26 = -x. What is the remainder when 23 is divided by m? 10 Suppose -7*g + 9 = -516. What is the remainder when g is divided by 38? 37 Let u = -47 + 67. Let m(t) = 29*t**2. Let x be m(-2). Suppose 0 = c - 3*c + x. Calculate the remainder when c is divided by u. 18 Let j = 32 - 26. Calculate the remainder when 11 is divided by j. 5 Let g(b) = 5*b - 11. Calculate the remainder when g(6) is divided by 10. 9 Let u(v) = v**2 - 4*v - 10. Let z be u(8). Suppose 0 = -d - 0*d + 4*q + 38, -2*d + 2*q = -76. Calculate the remainder when d is divided by (4 - 6)*1 + z. 18 Suppose 5*x + 28 = 103. Suppose -2*j - 3*j = 3*i - 77, 2*i = -4*j + 50. What is the remainder when i is divided by x? 14 What is the remainder when 3*102/9 + -1 is divided by 12? 9 Let i be 38/2 - -2*2. Let w = i + -8. Suppose 2*d - 7*d = 2*k - 71, 5*d - 99 = -3*k. What is the remainder when k is divided by w? 13 Let i(v) = 17*v - 6. Let p(o) = -o - 2. Let z be p(-4). What is the remainder when 109 is divided by i(z)? 25 Let z = 5 + 0. Let l be (22 - (-2 - -1))*1. Suppose z*x = -v + 123, -v + 74 - l = 2*x. Calculate the remainder when 71 is divided by x. 23 Suppose 0 = 5*v - 5 - 15. What is the remainder when 25 is divided by v? 1 Let c = 20 + -6. Let q(n) = 3*n**2 + 5 - 7*n**2 + n**3 + 5*n - 3*n**2. What is the remainder when q(7) is divided by c? 12 Let c be 29/(-2) + (-30)/20. Calculate the remainder when 18 is divided by 10/(-4)*c/8. 3 Let z = 6 - 16. Let s be 2/(-5) + (-4)/z. Suppose 4*y - 2*j = 74, -2*y + 3*j + 7 + 32 = s. What is the remainder when y is divided by 10? 8 Suppose -16*s + 5*s = -825. What is the remainder when s is divided by 16? 11 Let u(k) = -k**3 + 6*k**2 + 5*k - 7. Suppose -n = -0*n - 8. Calculate the remainder when u(6) is divided by n. 7 Suppose -3*i + 3 = -6, -l - 3*i + 11 = 0. Suppose 0 = l*t - 28 - 4. Let q(n) = -n**3 - n**2 - 4*n - 3. Calculate the remainder when t is divided by q(-2). 7 Calculate the remainder when (1 - 166)*(-6)/10 is divided by 34. 31 Let j(n) = n + 7. Let w be j(-5). Suppose -y = -3*m - 4*y + 42, y = -w*m + 23. What is the remainder when 26 is divided by m? 8 Let l = -87 - -91. Let c(o) = -o**3 + 6*o**2 - 6*o + 5. Suppose 0*w - 16 = -4*w. What is the remainder when c(w) is divided by l? 1 Let g = -11 + 7. Let p = g + 10. Let k(m) = 2*m**2 - 7*m - 8. What is the remainder when k(p) is divided by 8? 6 Suppose 5 - 33 = -4*t. What is the remainder when t is divided by 2? 1 Suppose -1 = -c + 2. Calculate the remainder when 28*(6/c - 1) is divided by 13 + 6/((-2)/1). 8 Let v be 1/4 - (-33)/12. Suppose -4*q + 1 = -v*q. Let s(c) = 9*c**2 - c + 1. What is the remainder when 16 is divided by s(q)? 7 Suppose -7*f = -10*f + 57. Calculate the remainder when f is divided by 5. 4 Suppose x - 4 = -0. Suppose -x*v + 5*m + 24 = 0, 2*v - m - 3 = 3*v. What is the remainder when 1 is divided by v? 0 Suppose -5*q = -2*r - 193, q - 121 = -2*q - 4*r. Suppose -7*p + 2*p + 100 = 0. What is the remainder when q is divided by p? 19 Let f(c) = -c**3 + c + 11. Let p(n) = -n**3 + 7*n**2 + 8*n. Let g be p(8). What is the remainder when 20 is divided by f(g)? 9 Suppose 0 = -0*n - 2*n + 3*p + 6, -n + p + 3 = 0. Suppose -n*y + 5*y = 0. Suppose y*f = -3*f + 66. Calculate the remainder when f is divided by 8. 6 Suppose 0 = -2*d + 3*d + 3*n - 13, 5*n + 5 = d. What is the remainder when 89 is divided by d? 9 Suppose 0 = -2*k - 6*k + 488. Let b = -35 - -56. Calculate the remainder when k is divided by b. 19 Suppose 4*w - 2*o = -6, 6*w = 3*w + 4*o - 17. Let j(s) = -3*s. Let t be j(-2). Suppose -u = -t*u + 5. What is the remainder when u is divided by w? 0 Suppose 5*y - y - 4 = 0. Calculate the remainder when 2 is divided by y. 0 Let i = 32 + 6. What is the remainder when i is divided by 3? 2 Let l be (21/12)/(2/40). Suppose s + u - 10 = 0, 3*u - 5 = s - l. Calculate the remainder when s is divided by 8. 7 Suppose -3*f - 5*h + 12 = 0, -4*f - h = 2*h - 16. Suppose 7 = f*v - 125. What is the remainder when v is divided by 9? 6 Suppose 2*p = 5*o + 157, -4*o = 5*p + o - 340. Let d = -25 + 49. Calculate the remainder when p is divided by d. 23 Suppose d + d + 6 = 5*g, -4*g - 3*d = -14. Let f(a) = a. Let i be f(-4). Calculate the remainder when g is divided by ((-1)/(-2))/((-2)/i). 0 Let p = -117 + 185. What is the remainder when p is divided by 24? 20 Let f be 60/14 - (-2)/(-7). Let c be (2/f*10)/1. Suppose 4*r - 3*t = c, r - 6*r - t = -11. What is the remainder when r is divided by 1? 0 Suppose -7*h = -46 - 73. Suppose -2*g = -5*v - 0*v - 76, 0 = -3*v - 6. What is the remainder when g is divided by h? 16 Suppose -5*t + 3*s + 49 = 0, -52 = -t - 4*t + 4*s. Suppose 0 = 4*q - 3*q - t. What is the remainder when q is divided by ((-4)/(-6))/((-16)/(-72))? 2 Let u be (-1 + 4/(-6))*-57. Let f = u - 57. Suppose -w - f = -n + 3*w, 5*n + 3*w = 144. Calculate the remainder when n is divided by 16. 14 Suppose 0*n = -3*n + 15. What is the remainder when (7/2)/((-6)/(-24)) is divided by n? 4 What is the remainder when (-119)/(-3) - (-2)/6 is divided by ((-44)/33)/(2/(-21))? 12 Let x(y) = 3*y**2 + 2*y + 1. Calculate the remainder when 40 is divided by x(-2). 4 Let x = -5 - -2. Let m be (1 + x/6)*-2. What is the remainder when 28 is divided by (18/12)/(m/(-10))? 13 Let n = 219 + -211. What is the remainder when 37 is divided by n? 5 Let c(y) be the second derivative of y**4/12 - y**3/6 + 2*y**2 - 2*y. Calculate the remainder when (-6)/(-9) - (-278)/6 is divided by c(4). 15 Let k = 5 - 9. What is the remainder when (-2)/k*(15 + -1) is divided by -2*1*(-21)/14? 1 Let u = 26 - 19. What is the remainder when 17 is divided by u? 3 Let l = -2 + 19. Suppose -4*r = -5*j + 45, -2*r + 2 - 47 = -5*j. Calculate the remainder when l is divided by j. 8 Suppose -4*j + 8 = -172. Suppose -5*q + j + 60 = 0. Calculate the remainder when 61 is divided by q. 19 Suppose 485 = -l + 6*l. Calculate the remainder when l is divided by 33. 31 Let n = 2 + -2. Let k(c) = -c**2 + 44. Calculate the remainder when k(n) is divided by 23. 21 Suppose 4*z + 3*i = 618, 0*i + 771 = 5*z + 3*i. What is the remainder when z is divided by 22? 21 Suppose 3*v + 3*s + 6 = 0, 4*v + 5*s - 3 = -15. Suppose -13 + v = -a. What is the remainder when 32 is divided by a? 10 Let l = 17 + 3. Calculate the remainder when 56 is divided by l. 16 Calculate the remainder when 152/(-6)*(-39)/26 is divided by 22. 16 Suppose -5*b = -2*c + 14 + 6, -2*c - b = -32. Suppose 2*o = 36 + 48. Calculate the remainder when o is divided by c. 12 What is the remainder when 12 is divided by -3*(-3)/6*2? 0 Let m = -241 + 408. What is
{ "pile_set_name": "DM Mathematics" }
9)*42/560? 3/4 What is the value of ((-28)/5)/(2471/10590)? -24 What is the value of (-8)/(-76)*(-279)/558? -1/19 What is (-200)/(-32100)*107*1/(-5)? -2/15 What is (-10)/(-3)*714/833*(-7)/(-4)? 5 Calculate ((-3)/(-4))/(-2*27/48)*9. -6 Evaluate -6*2/2*(-21)/(-210)*-5. 3 Calculate (162/(-240))/((-249)/(-332)). -9/10 What is ((-54)/(-21))/((-120)/(-280))? 6 Calculate (((-540)/550)/(-27))/(6/(-15)). -1/11 What is the value of 2*(-22)/154*(-35)/(-60)? -1/6 What is (28/140*15)/((-2)/(-2))? 3 ((-1)/(-3))/((-13)/(-2925))*17/85 15 Evaluate (-6)/(-1)*(-448)/128. -21 What is the value of (30/(-60))/(7/2)? -1/7 What is ((-76)/1425)/((-6)/15)*-35? -14/3 What is ((-13)/(-39))/((12/(-15))/(-4))? 5/3 What is ((-16)/(-176))/((-198)/(-121))? 1/18 What is (2/(-3))/((795/180)/53)? -8 What is (147/245)/(3/2)? 2/5 What is 702/14742*(-3)/9*(-18)/(-5)? -2/35 What is the value of (152/(-8))/(29/(-29))? 19 ((-5)/((-75)/(-6)))/(100/4250) -17 What is 9/(-459)*-17*33/(-1)? -11 What is the value of (132/(-308))/(252/1078)? -11/6 ((-1)/9)/(((-319)/87)/11) 1/3 What is the value of (-140)/70*(-2)/20*-2*1? -2/5 Calculate 147/735*3/(3/10)*7. 14 Calculate (-288)/(-144)*2/20. 1/5 What is (-1135)/454*2/(-9)? 5/9 Evaluate ((-13)/78)/(40/1080). -9/2 What is ((-6)/44)/((-174)/(-348))? -3/11 Calculate (808/(-303))/(3*18/(-567)). 28 Evaluate 70/(14/2)*2/(-2)*1. -10 Evaluate (-24)/540*25*(-1)/(40/16). 4/9 Evaluate (2*-8)/4*3068/944. -13 ((-4)/(-6))/(4*(-17)/(-714)) 7 ((-12)/(-8)*4/(-2))/(45/30) -2 Evaluate 15*(8/(-7))/(78/455*-5). 20 (-4)/((((-20)/5)/(-4))/(3/(-114))) 2/19 Evaluate 12288/(-1792)*(-7)/4. 12 Evaluate (8/14)/((-156)/546)*21/(-6). 7 What is the value of ((13/78)/(11/3))/(-1)? -1/22 Evaluate 2*((-9)/(252/(-8)))/((-8)/(-112)). 8 (12/390)/(4/(-60)) -6/13 Calculate ((-164)/2132)/((-3)/(-13)). -1/3 Evaluate ((-90)/(-54)*-57)/5. -19 What is the value of -1*(147/(-1176))/(2/2)? 1/8 What is the value of (30/8)/3*(-13)/((-1443)/148)? 5/3 What is (69/46)/((-7)/(-70))? 15 (80/100)/(3*((-6)/5)/(-3)) 2/3 What is the value of 2*(195/182)/5? 3/7 What is (2/(-2)*1)/(7/112*8)? -2 (9/10)/(825/2750) 3 Evaluate ((416/(-256))/((-1)/(-2)))/(-13). 1/4 What is the value of (((-540)/12)/(-5))/(-6)? -3/2 -9*(-28)/(-10080)*-1 1/40 What is the value of (-72)/45*(10/(-6))/((-24)/(-54))? 6 ((10900/(-50))/(-109))/(((-80)/(-6))/(-2)) -3/10 What is (75/(-100))/((-45)/(-200))? -10/3 (39/(-13))/(-9)*-33 -11 (121/(108900/(-240)))/(2/10) -4/3 What is the value of (8/((-256)/(-56)))/((-1)/12*3)? -7 What is 39/182*21*6/27*6? 6 What is the value of (13*(-20)/5460)/((-10)/7)? 1/30 What is the value of 12/(-4)*(-56)/(-560)*(-12)/(-9)? -2/5 What is ((-28)/((-896)/120))/3? 5/4 Calculate (-70)/(1260/(-162))*3/(-6)*-2. 9 Evaluate (((-1)/((-6)/(-60)))/(-12))/(20/36). 3/2 (-110)/(-462)*(-588)/(-30) 14/3 What is ((-22)/(-330))/((-6)/(-20))? 2/9 What is ((-13)/2)/((-21)/42)? 13 Calculate (15/150*-10)/(4/60). -15 What is (((-48)/(-308))/3)/(2*3/63)? 6/11 What is the value of ((-4)/(-2))/42*6? 2/7 Calculate ((320/6)/(-16))/(-2). 5/3 Calculate (1/18)/(253/1012)*9/31. 2/31 What is (-1)/(-3)*597/(-398)? -1/2 What is the value of (2*30/1120)/(((-10)/7)/5)? -3/16 What is (-4*1/3)/(((-4)/(-15))/2)? -10 Calculate ((-14)/245*5/(-21))/((-1)/(-7)). 2/21 Evaluate (222/(-333))/(2/3). -1 What is (80/1120)/(((-14)/(-12))/(-7))? -3/7 (-112)/(-32)*-1*63/(-49) 9/2 What is 1/(3*2/30)*(-4)/(-16)? 5/4 ((95/(-4))/(-5))/((975/(-52))/75) -19 What is the value of ((-4)/(-6))/((-12)/(-90))? 5 What is the value of ((-20)/(-14))/(2025/22680)? 16 What is the value of (-9)/12*324/(-810)? 3/10 Evaluate ((-41)/((-492)/(-18)))/((15/22)/5). -11 Evaluate (-13)/13*(21/3)/(-1). 7 Calculate (14/6)/(5*1/(-30)). -14 Calculate (-36)/21*3395/485. -12 Evaluate (1/2)/(14/56). 2 What is (13/5)/(266/1330)? 13 Evaluate (1872/720)/((-1)/5). -13 Calculate 2/(81/((-98901)/(-74))). 33 ((-44)/(-66))/(2/48) 16 (20/(-35))/(1003/(-413)) 4/17 What is the value of (304/(-285))/((-29)/((-1595)/(-66)))? 8/9 What is (225/50)/(8/((-128)/60))? -6/5 What is (4/(-3))/((-30)/27)*(-50)/40? -3/2 (18/10)/(18*16/(-1920)) -12 What is ((-2)/10)/(((330/12)/5)/(-1))? 2/55 What is ((4/(-2))/18)/((-385)/(-5775))? -5/3 What is the value of (21/399*19/2)/(11/24)? 12/11 Evaluate (24/54)/((-40)/(-180)). 2 Calculate ((-2)/(-2))/(35/(420/(-36))). -1/3 ((-2835)/126)/(2*10/(-32)) 36 What is (-931)/(-2527)*(6/(-21))/1? -2/19 Evaluate ((-542)/(-813))/(4/2*(-4)/12). -1 What is the value of (-1)/((2/((-56)/35))/((-5)/3))? -4/3 Evaluate 1/6*-35*5/175. -1/6 2/4*72/36 1 (-182)/(-10)*(-135)/(-189) 13 What is the value of (8/6)/(532/(-2394))? -6 Evaluate ((-10)/3)/((-2135)/(-10248)). -16 What is (-1)/(1/(72/16*-2))? 9 What is the value of ((-1)/(-2))/((-306)/(-765))? 5/4 Calculate (10/(-915))/(42/126). -2/61 Evaluate 12/336*(-8)/7*182/156. -1/21 Evaluate 4/((-64)/3)*(-6)/72*-16. -1/4 What is the value of (162/3645)/(((-4)/(-2))/(-20))? -4/9 What is the value of (11/(-44))/(10/(-40))*-19? -19 8/(-5)*7*60/168 -4 Calculate 4/(48/(-140))*(-174)/145. 14 Evaluate (14/4)/((-42)/224*-8). 7/3 Evaluate 4/(((-2)/(-8))/(75/150)). 8 Calculate (-5)/(5/22)*54/((-10152)/(-94)). -11 (-74)/(-12)*-2*1539/(-513) 37 What is the value of (12/(-8))/(-18*(-6)/(-288))? 4 Calculate 4/(-14)*(-32)/(-24)*150/(-80). 5/7 1/1*(-6)/12*198/(-11) 9 What is the value of (270/(-75))/(18/45)? -9 Evaluate -9*16/144*-6*-2. -12 Evaluate ((-26)/78)/(6/(-18)). 1 What is the value of (-5)/6*(-2)/(-75)*6? -2/15 Evaluate 45/288*(-1980)/825. -3/8 Calculate ((-7)/6)/(100/600). -7 What is the value of (765/(-238))/(-45)*(-8)/4? -1/7 What is (3/(-30))/((-19)/(-646)*1)? -17/5 (-1*4/(-20))/(77/1925) 5 Calculate 45/(-210)*7*((-2128)/21)/(-8). -19 What is the value of 12/(-180)*(-4)/(16/(-6))? -1/10 What is 110/(-1188)*-9*3/5? 1/2 (642/3210)/((8/6)/(-2)) -3/10 Calculate (8/(-128)*-8)/(10/200*265). 2/53 Evaluate (43/903)/((-3)/14)*-15. 10/3 What is the value of ((-3213)/(-84))/(-51)*(-24)/126? 1/7 What is the value of -20*(-60)/800*(-10)/9*-6? 10 ((42/(-30))/(-7))/(-13*(-171)/1170) 2/19 Calculate 8/(112/(-42))*(-1)/1. 3 What is 1/30*(-21480)/3222? -2/9 Evaluate (-2)/(-2)*97/(-776). -1/8 ((-18)/24*120/(-18))/(25/30) 6 What is (5/(-1))/((-44)/((-5016)/38))? -15 Evaluate 9/54*15*((-66)/(-275))/(-3). -1/5 What is -14*90/(-525)*2/((-4)/3)? -18/5 Calculate ((-22)/10*1)/(11*24/(-1320)). 11 Evaluate (8/(-16))/(-3*14/(-24)). -2/7 Evaluate (-2)/(-4)*4*(32/16)/128. 1/32 Evaluate ((-108)/(-81))/((16/(-15))/8). -10 Calculate ((93/(-9))/1)/(((-188)/141)/4). 31 What is ((-39)/(-18))/(302/906)? 13/2 Calculate (33/110)/((-45)/(-120)). 4/5 Calculate (-12)/(-5)*(-1185)/1896. -3/2 Evaluate ((-3)/2)/((-282)/(-1504)). -8 What is ((-72)/3)/(1*(-4)/(-2))? -12 2/((-34)/(238/189)) -2/27 What is -2*(-11)/(-44)*(-72)/3*1? 12 Calculate ((2205/42)/(-35))/(2/(-40)*-42). -5/7 What is (19992/(-221))/49*4/(-16)? 6/13 2904/1815*75/12 10 What is the value of (264/36*4*(-6)/(-16))/(-1)? -11 Calculate (54/252)/(4/(320/30)). 4/7 Calculate (6/35)/(((-407)/220)/37*-6). 4/7 What is (3/(-180)*-6)/(14/(-14))? -1/10 What is (48/(-216))/(14/18*-1)? 2/7 What is (15/2)/(-5)*145/(-4350)? 1/20 Calculate (312/624)/(7/(-4)). -2/7 What is (3/8)/((-266)/(-4256))? 6 What is the value of ((-1100)/(-40))/55*-2? -1 Calculate 1/(-7)*-2*6902/2465. 4/5 (((-18468)/(-48))/(-27))/(9/(-12)) 19 What is (-2)/12*(-1668)/1946? 1/7 What is the value of (((-928)/48)/29)/(22/(-99))? 3 Evaluate ((40/(-5))/8)/(9*(-2)/(-18)). -1 (666/(-1184))/(8/(-64)) 9/2 What is ((-30)/(-25))/((-55)/(-275))? 6 35/((-3850)/33)*5 -3/2 Evaluate (-20)/330*-44*45/(-84). -10/7 What is (-1220)/(-549)*((-6)/(-10))/(28/(-70))? -10/3 What is (-39)/(((-7)/(49/3))/(10/(-35)))? -26 What is the value of (-2)/(-10)*-40*9/(-4)? 18 Evaluate (-3416)/976*2/5. -7/5 What is the value of 9/(225/(-80))*(-8)/64? 2/5 What is ((26/(-91))/(-2))/(6/462)? 11 Calculate (96/240)/(56/(-60)). -3/7 Calculate (-49)/490*(-12)/(48/10). 1/4 What is the value of (192/60)/8*(-5)/(-33)*6? 4/11 What is (54*(-20)/(-7200))/(8/10)? 3/16 ((-496)/(-2976))/((-4)/(16/(-3))) 2/9 What is (((-608)/(-3800))/((-28)/10))/((-6)/(-10))? -2/21 Calculate (-95*82/(-1025))/(2/(-5)). -19 20/(-440)*11*2 -1 What is the value of ((-24)/(-1036))/((-1443)/3367)? -2/37 Evaluate (-1*(-1)/(-4))/(26*(-78)/(-5408)). -2/3
{ "pile_set_name": "DM Mathematics" }
4*(-4)/(-6). Let f = -5045 - -5040. Let n = 41/2 + -21. Which is the nearest to n? (a) t (b) f (c) 2 a Let f be (24 + 106820/(-4459))/(1 - (-10)/(-14)). What is the nearest to 2 in 4, 3, f? 3 Let l = 5916 + -5915. What is the nearest to l in -605/4, 4, -1/4? -1/4 Let g = 0 - 1. Let s = 0.7 - 12.2. Let t = 11.8 + s. What is the closest to 1 in -4, t, g? t Suppose -k + 3 = t, 5*t - 133336*k - 3 = -133337*k. Let j be (-1 - 0)/(2/(-4)). What is the nearest to t in -4/7, j, 0, -10? 0 Let z = 0.4283 + -0.3957. What is the nearest to z in 0.4, -1/2, -4, -1/8? -1/8 Let l = -278/11 - -3592/143. Which is the nearest to 0? (a) l (b) -4/5 (c) 2/47 (d) -4 c Let p = 54 + -56. What is the nearest to 0 in 1, -0.2, p, -60? -0.2 Let s = 0 + -8. Let d = -553 + 552. Which is the nearest to d? (a) 0.2 (b) s (c) 4 a Let p be 315/56 - 6 - 5/(880/(-34)). What is the nearest to -2 in -2, 2.9, p? -2 Let c = -55.82 - -51.82. What is the closest to -2/7 in 2, 71, c, -3/2? -3/2 Let m = -487 - -482. Let q be 345/(-138) - -1*(-3)/2. What is the nearest to -2 in -2/11, m, 5, q? -2/11 Let f = -18.538 - -18.6. Let m = f + -0.032. What is the nearest to 1/6 in m, -0.2, -0.4? m Let u = -3701 - -3670. What is the closest to 0.2 in u, 2, 5/4, 3/2? 5/4 Suppose x = n + 6, 0*n + 2*n = 5*x - 24. Let g be 24/(-32) + (0 - n/8). What is the closest to -4 in 0.2, -0.1, g? g Let s(q) = -219*q - 17741. Let d be s(-81). Let m be 47/42 + 6/(-21). What is the closest to m in 5/4, 2/11, d? 5/4 Let g = -69 + 209/3. Let o = -782 + 782. What is the nearest to o in g, 1, 0? 0 Let a be (51*1/36)/(-1). Let h = 7/6 + a. Let v = 11.9 - 12. What is the nearest to -1 in 2, v, h? h Let r(x) = -x**2 - 7*x + 7. Let y be r(-8). Let t be (-3 - -4)/(18/(648/(-234))). Which is the closest to 1? (a) t (b) y (c) 1/5 c Let q = 370.5 + -370. Which is the closest to -9? (a) -0.1 (b) -2 (c) -0.3 (d) q b Let v = 0.2312 - 0.1312. Which is the nearest to -9? (a) -0.4 (b) v (c) -0.1 a Let y = -307.01 + 307. Let f = -0.49 + y. What is the nearest to -0.1 in -0.1, 9, f, -6/11? -0.1 Let t = -526 - -318. Let v = t + 207.588. Let k = v + -0.088. Which is the nearest to -1.3? (a) k (b) -0.4 (c) 0.2 a Let s = -2.1756 + 4.7756. Which is the nearest to -0.05? (a) s (b) -0.1 (c) 2 (d) -3 b Let s = -93 - -93. Suppose g - 4 + 2 = s. Suppose 4*t = -2*z - z - 14, -2*t = -g*z. What is the nearest to 2/3 in -2/11, 2, t? -2/11 Let u be (-27)/(-45) - (3672/45)/6. Which is the closest to 0.1? (a) 1 (b) u (c) 4 (d) 2/3 d Let q = -298 - -294.56. Let n = q - -3.04. Let h = 1 - 0. Which is the closest to -2/5? (a) h (b) n (c) 3 b Let d = -2/137 + 145/548. Suppose 2*u - 3*x = 11, -4*u + 40 = 5*x + 29. Which is the closest to -0.1? (a) u (b) d (c) -3/5 b Let s = -1 + 2. Let q = -0.5272 + 0.6372. What is the nearest to 0.1 in -5, q, s? q Let k = -696/17 + 3514/85. Which is the closest to k? (a) -4 (b) -2 (c) 0.4 (d) -32 c Let s = -36853 + 36855. Which is the nearest to s? (a) -2/31 (b) 2 (c) -4 (d) 3/2 b Let u be 51/(-204)*(-8)/17. Which is the nearest to u? (a) 3/8 (b) -2/5 (c) -3 (d) 0.1 d Let a = 19.861 - 0.161. Let v = 7 - -14. Let l = a - v. What is the closest to 2/5 in 1, 1/6, l? 1/6 Let h = -2.34557 + 0.34557. Let n = 2.9 + 0.1. Which is the closest to h? (a) 5 (b) n (c) 0.4 c Let j = -121.464 - -121. Let w = 0.064 + j. Let t be (-2)/(-4) + (-4)/10. Which is the closest to 2/3? (a) -2 (b) w (c) t c Let y = 0.3 - 1.3. Let x = 11198 + -11202. Which is the nearest to 3/11? (a) 1 (b) y (c) x a Let h = -16651.5 - -16651.4. Let q = 0.04 + 1.96. Which is the closest to -0.1? (a) q (b) h (c) -5 b Let w be (-10 - -8)*2/(-1). Let j = -3454 - -3451. Which is the closest to -1? (a) j (b) -0.02 (c) -2 (d) w b Let l be 12*((-25)/10 + 32/14). Let j = l - -43/14. What is the closest to -0.1 in -5, j, -4? j Suppose -419*n - 1728 = 426*n - 849*n. Which is the nearest to n? (a) -4 (b) -1 (c) 2 c Let h = -11.05 + 14.05. Let m = 5 - 8. Let v = h + m. What is the closest to 2/7 in 5, 0.09, v? 0.09 Let t be ((-99)/8646)/((5 + 46/(-8))*-1). Which is the closest to 0.35? (a) t (b) 0.2 (c) -1 b Let n = 296 + -283. Let h = 15.3 - n. Let j = -1 - -1. What is the closest to 1 in -0.4, h, j? j Let z = -311 + 296. What is the nearest to 0.5 in z, 4/3, -1/2? 4/3 Suppose -180*p + 10 = -175*p. Which is the closest to 5? (a) -13 (b) p (c) 0.13 b Let v = 7.401 + -2.165. Let w = v - 0.236. Which is the closest to 1? (a) -0.14 (b) 1/11 (c) w (d) 2 b Suppose -2*h = -3*t + 18 + 15, h + 4*t = 0. Let i be 8/24*(h - -6). Which is the closest to 18? (a) 4 (b) i (c) 1/12 a Let o = -343/1665 - 3/185. Let h = -3715 + 11150/3. Let x = 0.4 + -0.3. What is the nearest to o in h, x, -1/3? -1/3 Let d = 9204 - 9203.31. What is the nearest to -3 in d, 4, 3? d Let u be (1/(-2))/(170/100). Let z = 59/85 + u. Which is the nearest to -1? (a) -0.2 (b) 5 (c) z a Let z = 18658 + -18656. What is the closest to z in -17/8, -1/4, -0.1, 1? 1 Let w(p) = 82*p - 718. Let q be w(9). Let a be (-10)/2 - 0/1. What is the nearest to -1/4 in q, a, -5/2? -5/2 Let y = -1.15 - -1.62. Let q = 0.17 - y. Let o be 1 + (6/(-2))/1. Which is the closest to o? (a) 0.1 (b) q (c) -1/2 c Let q = 11 + -20. Let n = -1.17 - -57.17. Let f = n + -56.2. Which is the nearest to f? (a) q (b) 5 (c) 4 c Let u = -235.75 - -235.75. Let t = 18.5 + 0.5. Which is the closest to u? (a) 0 (b) t (c) 2/7 a Let q = 1 - 0.4. Let w = 49.07 + -50.07. Suppose 4*g - 19 + 5 = 2*x, -5*g = -20. Which is the closest to -2? (a) x (b) w (c) q b Let z be (-28 + 3)*(-34)/510. Which is the nearest to -1/11? (a) 2/7 (b) 1.1 (c) -2/17 (d) z c Suppose 67 + 147 = -132*x - 446. Which is the closest to -37? (a) -2 (b) 7 (c) 2/17 (d) x d Let c = -158.4 - -158.8. What is the closest to 5/9 in 5, 0, c, -4? c Let w = 0.04187 - 0.24187. What is the nearest to -2 in 0.1, w, -2? -2 Let d = -0.232 + 0.132. Let w = -1 - -0.2. Let o = 0 - w. Which is the closest to d? (a) o (b) 0.4 (c) -2 b Let n be (-463)/10 + (-3 - 322/(-115)). Which is the nearest to 1? (a) 0 (b) -3 (c) -1 (d) n a Let p = 132 - 80.5. Let m = p - 52. Which is the nearest to 0? (a) m (b) 1 (c) -4 a Let t be (3108/(-9))/(-37) - 10. What is the closest to t in 0.4, 4, 0.2, -2/3? -2/3 Let j = 1170 - 1062.8. Let f = -107 + j. Let w = -0.12 - -4.12. What is the closest to f in w, -11, -5? w Let h = 265105631/53 + -5002455. Let l = -462 - h. What is the nearest to 1 in l, 2/3, 0.4? 2/3 Let z = -5 - -9. Let j be (-90)/75*(-5)/z. Let k = -0.204 + 0.404. What is the closest to 0 in j, k, 5? k Let r = -2763 - -2762.9. Let m be (30/(-12))/(0/2 + 2). Which is the nearest to r? (a) 0 (b) m (c) 2/7 (d) 0.4 a Let k = 7630 + -7625. Let g = 0.5 + -0.3. Let u = -5 - -5.4. Which is the nearest to -3? (a) k (b) g (c) u b Suppose 0 = 2*f - 2 - 4. Suppose 744*r - 6 = 746*r. What is the closest to 0.1 in r, f, -1/3? -1/3 Let u be ((-18)/108)/(70/(-63)). What is the nearest to 2/41 in -1/7, u, 3, -1? u Let i = 0.448 + 186.552. Let j = -186.6 + i. What is the closest to 2 in -6, j, 1/5? j Let u = 2 - 1. Let g = -461 - -325. Let t = 136.5 + g. Which is the nearest to u? (a) -2 (b) t (c) 0 b Let w = -87 + 87.3. Let k be 15/10 - (-45)/(-50). Which is the closest to k? (a) w (b) 5 (c) -0.5 a Let h = 0.0792 - 1.0792. Let j = -0.16 + 5.16. Which is the nearest to -3? (a) h (b) 4 (c) j a Let w = 4.0674 - 4.1174. What is the closest to 1 in -1/6, -14/3, w, -0.1? w Let i = -48 - -32. Let j = i - -1. Let f = 13 + j. What is the closest to f in -4, -2, -0.5? -2 Let n(v) = v**2 + 81*v - 162. Let a be n(2). Let q = -2/13 - 20/39. What is the closest to a in -2, -0.4, q? -0.4 Let r = 1762 + -3525/2. Which is the nearest to -5? (a) 5 (b) r (c) -3 c Let x = -1245.8 - -1245.2. Which is the nearest to 1? (a) 5 (b) x (c) -2/7 (d) 2 d Let m be (-7 - (-20)/3)/((140/(-8))/7). What is the nearest to -3 in -4/3, m, -3, 2/9? -3 Let j = 0.552 - -4.948. Let v = -7 - -8.5. Let t = j - v. What is the nearest to 2/5 in 0.2, t, 3? 0.2 Let i = 85.9 - 88.9. Let k = 55 + -53. What is the closest to -2/3 in k, i, -0.5, -8/37? -0.5 Let d(q) = q**3 + 13*q**2 - 23*q - 125. Let r be d(-14). Which is the closest to r? (a) -1/11
{ "pile_set_name": "DM Mathematics" }
of 10 and h. 10 Let g be 2*8/(4/4). Calculate the highest common factor of g and 128. 16 Let s(q) = q**2 + 10*q + 17. Let y be s(-10). Calculate the highest common factor of y and 153. 17 Suppose 7*n = 3*n + 12. Suppose 9 = -n*h + 27. What is the greatest common factor of 2 and h? 2 Suppose 16 = 5*p + 6. Suppose p*n = -2*n + 2*x + 22, -2*n = -4*x - 20. What is the highest common divisor of n and 36? 4 Suppose 7*k - 933 = 257. Calculate the greatest common factor of 17 and k. 17 Let j = -3 - -6. Suppose j*c + 3 - 9 = 0. Calculate the greatest common factor of c and 16. 2 Let s be 18/1 - (1 - 1). Let u = 45 + s. What is the highest common divisor of u and 9? 9 Let f = -22 + 31. Let l = f - 26. Let o = -3 - l. What is the greatest common factor of o and 7? 7 Suppose g - 4 = 5. What is the greatest common factor of 27 and g? 9 Suppose 5*y - 6*y - 9 = 0. Let v be (-2)/(-6) + (-15)/y. What is the greatest common divisor of v and 8? 2 Let w = 176 - 96. What is the highest common factor of w and 16? 16 Suppose -36 = -2*u + 28. Let x = -9 + 9. Let k be -24*2*(-1 + x). What is the greatest common factor of u and k? 16 Let h(o) = 13*o**2 - 2*o - 3. Let u be h(3). Calculate the greatest common factor of 27 and u. 27 Let w be (9/12)/(2/8). Suppose 0 = w*o - 16 - 11. Let b(c) = c**2 - 9*c + 20. Let l be b(13). Calculate the highest common divisor of o and l. 9 Let t(r) = -2*r - 15. Let x be t(-11). Suppose -38 = -5*q + x. What is the greatest common divisor of q and 63? 9 Let k(i) = -2*i - 5. Let a be k(-8). Let p = 96 - 63. Suppose p = -g + 4*g. What is the greatest common factor of a and g? 11 Let f be (8/(-5))/(0 - (-2)/(-60)). What is the highest common divisor of f and 3? 3 Let n = 631 - 451. Suppose -5*t = -3*y - 106, 2*t + y = -t + 58. What is the highest common divisor of t and n? 20 Let u = -33 - -42. What is the greatest common factor of 1 and u? 1 Let t = -2 - -5. Suppose -66 = -4*w + t*w. Let p = -19 - -25. Calculate the greatest common factor of p and w. 6 Suppose -2*j + 2*i = -5*j + 24, 5*j - 36 = -2*i. What is the highest common factor of 90 and j? 6 Let m(n) = -n + 6. Let u be m(5). Let r be 18/(-12)*(u + -3). What is the greatest common factor of r and 1? 1 Suppose 6*p - 32 - 238 = 0. What is the highest common divisor of 9 and p? 9 Let g be 155*(-3 + 72/20). Calculate the highest common factor of 31 and g. 31 Suppose -4*q + v = -62, -2*v + 7*v = -10. What is the highest common divisor of 105 and q? 15 Let x = 23 + -6. Let v = 211 + -75. What is the greatest common divisor of v and x? 17 Suppose 0 = 4*z - 2*l - 702, -4*z + 525 = -z - 3*l. Calculate the greatest common divisor of z and 16. 16 Let m(o) = -o**3 + 2*o**2 + 3*o + 4. Let n = -4 + 4. Suppose n*x = 3*c - 2*x + 8, 3*c + 14 = -x. Let z be m(c). What is the highest common factor of z and 11? 11 Let p be (-2)/(-6) - 85/(-15). Suppose -3*a - 189 = -p*a. What is the highest common divisor of a and 7? 7 Suppose -y + 2 = 4. Suppose 5*l - 117 = 18. Let i be l - ((-1 - -5) + y). Calculate the greatest common divisor of 10 and i. 5 Suppose 224 = b + 3*b. Let j(t) = t**2 - 5*t + 8. Let q be j(6). Suppose -c = -b + q. What is the highest common divisor of c and 28? 14 Suppose q - 44 = 28. Calculate the highest common divisor of q and 8. 8 Let y = 9 + -2. Let c be (-1)/(-2) + 110/4. What is the greatest common divisor of y and c? 7 Let x = -14 - -50. Calculate the greatest common divisor of 54 and x. 18 Let z be (-4)/10 - 96/10. Let m be (-6)/z + 111/15. Suppose w = -3*w + m. Calculate the greatest common divisor of 14 and w. 2 Suppose 94 = m + 5*t, 5*t = 4*m - 191 - 210. What is the greatest common factor of m and 9? 9 Suppose 256 = -u + 3*u. Let r = -2 - -2. Suppose -5*t + r*d + 100 = 4*d, 57 = 2*t + 5*d. Calculate the highest common factor of t and u. 16 Suppose -100 - 180 = -14*s. Calculate the greatest common divisor of 260 and s. 20 Let t(u) = -u - 12. Let c be t(0). Let a be 24*(c/9 - -2). Let h = 0 - -2. What is the highest common divisor of a and h? 2 Suppose 0 = -4*l - 9 + 57. Let v be -1 + -1 + (5 - 0). What is the greatest common divisor of v and l? 3 Let s = 8 - 15. Let d(r) = r + 0*r - 3*r - 4. Let j be d(s). Calculate the highest common divisor of 10 and j. 10 Let s(h) = -h**3 + 21*h**2 - 20*h + 1. Let i be s(20). What is the highest common factor of 7 and i? 1 Let a(l) = 5*l**2 - 2*l**3 + 0*l**3 + 1 - 3*l**2 - 4*l**2 - l. Let x be a(-2). Calculate the greatest common divisor of 77 and x. 11 Let b(w) = w**2 + 6*w + 5. Let x be b(5). Let y = 49 + -34. Calculate the greatest common divisor of x and y. 15 Let t(g) = 16*g**2 + g. Let x be t(-1). Let f = -152 + 257. What is the greatest common divisor of x and f? 15 Let j = -2 - -5. Suppose -2*f + 2*r + 8 = -0*r, -2 = -4*f - j*r. Calculate the greatest common factor of 4 and f. 2 Suppose -2*l + 13 = -15. What is the highest common factor of 28 and l? 14 Let l = 33 - 25. Calculate the highest common divisor of 64 and l. 8 Suppose -6*z + 44 = -2*z. Suppose 2*d - 57 = -3*q - 0*q, 4*d = -q + 129. What is the greatest common factor of d and z? 11 Let q(a) = a**2 + 7*a + 5. Let p be q(-7). Suppose -p*d - 27 = -8*d. Calculate the greatest common factor of d and 36. 9 Let n be 6/21 + (-1754)/14. Let j = 251 + n. What is the highest common divisor of j and 18? 18 Let w(d) = d**3 + 13*d**2 - 3*d + 7. Let u be w(-12). Calculate the greatest common divisor of u and 17. 17 Let y be (2 - -47)*1 - (-2 + 5). What is the greatest common divisor of y and 414? 46 Suppose 4*z - 12 = 44. What is the highest common divisor of z and 14? 14 Let n(a) = 5*a**3 - 25*a**2 + 5*a - 17. Let l be n(5). Let r = 2 - -38. What is the greatest common factor of r and l? 8 Suppose -q - 4*q - 15 = 0. Let f(a) = -a**2 - 6*a - 2. Let m be f(-4). Let b = q + m. What is the highest common factor of 33 and b? 3 Let r = 2 + 1. Let w be (0 - -1)/(r/30). Calculate the highest common divisor of w and 30. 10 Let z = 126 - 118. Let m = -2 - -5. Suppose b = m + 1. What is the greatest common factor of z and b? 4 Suppose 0 = -q + 4*s - 9, 5*q - 2*q + s = -40. Let g = q - -23. Calculate the highest common divisor of g and 25. 5 Let a(j) = 9*j - 3. Let c = 3 + -1. Let x be a(c). What is the greatest common factor of 30 and x? 15 Let n be (7/(-3) - -3)*-9. Let g = 8 + n. Suppose x + 3 = g*x. Calculate the highest common divisor of 24 and x. 3 Suppose v - 1 = 3. Let s = 5 + v. Calculate the greatest common factor of 18 and s. 9 Let x = 249 - 153. Calculate the highest common factor of 12 and x. 12 Let s = 18 + -9. Suppose 3*f = 5*k - 6, -3*f + 5 = -2*k + 2. Calculate the greatest common divisor of s and f. 3 Let x = 33 - 3. Let i = 261 + -186. What is the highest common factor of i and x? 15 Let j = 0 + 2. Suppose 0 = 2*f + 4*t - 178, -j*f + 2*t + 3*t = -133. Suppose 1 + f = 2*w. What is the greatest common divisor of w and 5? 5 Let y = -131 - -339. Suppose 0 = 5*m - 167 - y. What is the greatest common divisor of m and 15? 15 Let z(w) = -2*w - 1. Let p be z(-5). Suppose o - 5 = p. What is the greatest common factor of o and 56? 14 Let m(b) = 5*b - 4*b + 0*b**2 + 2*b**2. Let f be m(1). Calculate the highest common factor of f and 1. 1 Suppose -z + 0*z = -5. Let u = -7 + z. Let l(r) = r**2 - 2*r - 1. Let o be l(u). What is the greatest common divisor of 56 and o? 7 Let b(l) = -3*l**3 - 2*l**2 - 2*l + 4. Let z be b(-2). What is the greatest common factor of 3 and z? 3 Suppose -5*w - h + 156 = 0, 48 = 4*w - 3*w - 4*h. Let t be 1/(482/160 - 3). Calculate the highest common divisor of t and w. 16 Let p be 4 + -7 - (-25)/1. Calculate the greatest common divisor of p and 176. 22 Suppose 0 = -5*h - 1 + 16. Suppose -10 = 2*k + h*k. Let q = 1 - k. What is the greatest common factor of q and 27? 3 Let k(v) = -3*v + 4. Suppose r - 13 = -4*h, -7*r + 29 = 2*h - 2*r. Suppose 0 + 8 = -h*s. Let i be k(s). Calculate the highest common divisor of i and 40. 8 Let j = 18 + -34. Let g = 19 + j. Calculate the greatest common factor of g and 1. 1 Let z(m) = 32*m + 1. Let i be z(1). Let g(r) = r**3 - 7*r**2 + 8*r - 9. Suppose 4*y = 7 + 17. Let b be g(y). Calculate the greatest common factor of i and b. 3 Let c(b) = -b + 11. Let d be c(9). What is the highest common factor of 2 and d? 2 Suppose 2*q + 15 = -q.
{ "pile_set_name": "DM Mathematics" }
- 2212*h*r - r wrt r? -16740*h*r**2 Find the first derivative of f**3*k*v**2 + 3*f**3*k*v - 2*f**3 - 2*f**2*k - 21*k wrt v. 2*f**3*k*v + 3*f**3*k Differentiate -6655*l**2 - 3115 wrt l. -13310*l Find the third derivative of -247*o**3*p + 3*o**3 - 9*o**2 + 3*p wrt o. -1482*p + 18 Find the second derivative of 305*d**4 - 262*d wrt d. 3660*d**2 Find the third derivative of 497*t**6 + 2*t**5 + t**4 + t**2 + 88*t + 6. 59640*t**3 + 120*t**2 + 24*t Differentiate 5*i*q - 1585*i + 484*q**3 + 2 with respect to q. 5*i + 1452*q**2 What is the second derivative of 8*o**2*r**2*x**2 + o**2*x**2 + 18*o**2 + 141*o*r**2*x**3 - 13*r*x**3 - 3*r wrt r? 16*o**2*x**2 + 282*o*x**3 What is the third derivative of -12*c**3*q*w**3 + 5*c**3*q - c**2*q*w**3 + 2*c**2*w**3 - 2*c**2*w - 166*c*q*w**2 wrt c? -72*q*w**3 + 30*q What is the third derivative of 4932*f**3 + 3777*f**2 + 2? 29592 Find the first derivative of -2*l**4 - 14*l**3 - 15*l**2 + 22329 wrt l. -8*l**3 - 42*l**2 - 30*l What is the derivative of -713*g**4 - 694? -2852*g**3 Find the first derivative of 260*p**4 + 426 wrt p. 1040*p**3 What is the second derivative of -21*v**4*x - 19*v**2*x**2 + 10*v - 37*x**2 wrt v? -252*v**2*x - 38*x**2 Find the third derivative of 1230*u**5 + u**2 - 111*u wrt u. 73800*u**2 What is the second derivative of 2*b**5*n**3 + 2283*b**4*n**3 - b*n**3 + 159*b*n**2 + n**3 wrt b? 40*b**3*n**3 + 27396*b**2*n**3 What is the second derivative of 9*i**2*s**4 - 1841*i**2*s - 2*i*s**4 + 44*s**2 + 2*s wrt s? 108*i**2*s**2 - 24*i*s**2 + 88 Find the third derivative of 117*s**4 + 24*s**2 + 4. 2808*s Find the first derivative of 2*k**3*s**2 - 247*k*s**2 + 2*k*s - 13*s**2 - 2*s wrt k. 6*k**2*s**2 - 247*s**2 + 2*s Find the second derivative of -724*k**5 + 2*k**3 + 1640*k wrt k. -14480*k**3 + 12*k What is the second derivative of 232*t**3 - 2*t**2 + 356*t wrt t? 1392*t - 4 Find the second derivative of 4238*c**3*u - c - 23*u wrt c. 25428*c*u What is the third derivative of 37*a**3*u**5 + 2*a**3*u**3 - a**3 - 922*a*u**2 wrt u? 2220*a**3*u**2 + 12*a**3 Find the third derivative of -35*a**3*l - 2*a**3 + 6*a**2*l - 4*a**2 - 2 wrt a. -210*l - 12 Find the second derivative of -d**2*i*k - d**2*i + d**2*k - 2*d**2 - 32*d*i - d*k + 2*d - 2*k wrt d. -2*i*k - 2*i + 2*k - 4 What is the first derivative of 109*k - 3299 wrt k? 109 What is the third derivative of 114*n**6 - n**2 + 95*n wrt n? 13680*n**3 What is the third derivative of -389*b*k**6 - 4*b*k**2 - 2*b*k + k**3 + 63*k**2 wrt k? -46680*b*k**3 + 6 Find the third derivative of 28248*b*o**2*z**3 - 14*b*o**2*z**2 - 140*b*z**2 - 3*o**2*z wrt z. 169488*b*o**2 What is the first derivative of -298*l**3*t*v - 2*l**3*v - 2*l**3 - 4*l**2*v wrt t? -298*l**3*v Find the first derivative of -9*u*w**2 + 862*u - 69*w**2 + 2*w + 1 wrt u. -9*w**2 + 862 Find the first derivative of -3610*o**2*y - 2671*o**2 wrt y. -3610*o**2 Find the third derivative of 9*k**3*v**3 + 285*k**3*v - 2*k**2*v**4 + k**2*v**2 + 2*v**4 wrt v. 54*k**3 - 48*k**2*v + 48*v Find the third derivative of 64*f**4 + 83*f**3 + 25*f**2 + 280*f + 1 wrt f. 1536*f + 498 What is the second derivative of -415*c**2*r**3 + 15*c**2 + 313*c*r**3 + 3*c*r wrt c? -830*r**3 + 30 What is the first derivative of -14379*c + 7713? -14379 Differentiate -134*b**4 + 2*b + 314 wrt b. -536*b**3 + 2 What is the third derivative of 692*a**5 + 2386*a**2 wrt a? 41520*a**2 Find the second derivative of d**3 + 568*d**2 - 5032*d wrt d. 6*d + 1136 What is the second derivative of -296*t**2 - 3*t - 41 wrt t? -592 Find the first derivative of 17*f*h + 65*f*i + h*i + 6*h - 9 wrt f. 17*h + 65*i Find the second derivative of 2*g**2*j**2*y**3 + 2*g**2*y - 61*g*j**2*y**3 + 39*j**2*y + 2*j*y wrt y. 12*g**2*j**2*y - 366*g*j**2*y What is the third derivative of 2746*j**3 - j**2 + 380 wrt j? 16476 What is the derivative of -418*l**4 - 634? -1672*l**3 Find the third derivative of -4*h**3*r**2 - 2*h**3*r + h**2*r**2 + 4*h*r**2 - 14*h wrt h. -24*r**2 - 12*r Find the third derivative of 285*a**3*k**3 - 70*a**2*k**2 - k**3 wrt a. 1710*k**3 Find the third derivative of o**4 - 739*o**3 + 2*o**2 - 76*o wrt o. 24*o - 4434 Find the third derivative of 4*w**6 + 24*w**5 - 24*w**2 + 5*w wrt w. 480*w**3 + 1440*w**2 Find the third derivative of 1504*k**4 - 2454*k**2 wrt k. 36096*k Find the third derivative of 2*t**3*y**3 - 351*t**3 - 63*t**2*y**4 - 5*t**2*y**2 + 2*t**2*y - t*y**4 wrt y. 12*t**3 - 1512*t**2*y - 24*t*y Find the first derivative of 2010*f**2 - 4213. 4020*f What is the second derivative of 132*b**4 + 2*b - 13? 1584*b**2 Find the second derivative of 128*a**2*v - a*v + 223*v wrt a. 256*v Find the first derivative of -3151*w**4 + 2240. -12604*w**3 Find the second derivative of -2*s**3*t**2 + 83*s**3*t - 2*s**3 - 4*s**2 - 226*t**5 wrt t. -4*s**3 - 4520*t**3 Find the second derivative of -5*b**4 - b**3 - 249*b**2 - 5311*b wrt b. -60*b**2 - 6*b - 498 Find the third derivative of 3840*b**6 - 2*b**5 + 6278*b**2 wrt b. 460800*b**3 - 120*b**2 Differentiate 1116*b**4 - b**3 + 5070 with respect to b. 4464*b**3 - 3*b**2 Find the third derivative of -2*f**6*k - 307*f**6 + f**2*k - 1 wrt f. -240*f**3*k - 36840*f**3 Differentiate 2*m**3*x + 4*m**3 - m**2*o + 12*m*o - 3*m*x + 3*o*x - 2*x**2 with respect to x. 2*m**3 - 3*m + 3*o - 4*x What is the derivative of 11017*g**3*k - 2979*g**3 wrt k? 11017*g**3 Find the second derivative of 102*t**5 - 3*t**3 - 669*t - 1. 2040*t**3 - 18*t Find the second derivative of -444*z**2 + 89*z wrt z. -888 What is the third derivative of 3*q*v**4 - q*v**3 - 54*q*v**2 - 3*q - 2*v**4 + 1 wrt v? 72*q*v - 6*q - 48*v What is the third derivative of -165*b**3 - 6*b**2 wrt b? -990 Differentiate 465*m + 387 with respect to m. 465 Find the first derivative of 7*c*f**2 - 1354*c + 2*f**2 - 4130*f wrt c. 7*f**2 - 1354 What is the second derivative of -2393*h**2 - 5625*h wrt h? -4786 Differentiate -635*a*o + 487*a - o**3 + 1 with respect to o. -635*a - 3*o**2 Differentiate -5*b**3*x**2 - 2*b**3 + b*x - 9*x + 1372 with respect to x. -10*b**3*x + b - 9 What is the third derivative of -877*n**3*q + 553*n**2*q + 1 wrt n? -5262*q What is the second derivative of -18*d*v**3 - d*v**2 - 2*d*v + 45*d - 4*v**3 + 2*v**2 + v wrt v? -108*d*v - 2*d - 24*v + 4 Find the third derivative of 1808*j*q**5 + j*q**2 - 2*j + 2*q**6 - 17*q**2 wrt q. 108480*j*q**2 + 240*q**3 Find the third derivative of -1232*h**6 + 120*h**2 - 4*h wrt h. -147840*h**3 Differentiate -51*g**2*n**4 + 28*g**2*n**3 + 2*g**2 - 8*g + 38 wrt n. -204*g**2*n**3 + 84*g**2*n**2 What is the second derivative of -637*f**2*v**5 + f**2*v - 2*f**2 - 77*f*v - 3*v**5 wrt v? -12740*f**2*v**3 - 60*v**3 Find the second derivative of -4176*f**2*l**2 - 64*f**2*l - 11*f**2 + 2*f*l wrt l. -8352*f**2 Find the second derivative of 110*c**4 - 324*c. 1320*c**2 Find the second derivative of -13*h**2*m - 14*h**2 + 2*h*m - 57*m - 1 wrt h. -26*m - 28 What is the second derivative of 755*j**5*p + 2*j**4*p**3 + 177*j*p**3 + 2*j wrt j? 15100*j**3*p + 24*j**2*p**3 What is the third derivative of 2961*o**3 - 110*o**2 + 2? 17766 What is the derivative of -l**2*p**3 + 36*l**2*p + 58*l**2 + 1 wrt p? -3*l**2*p**2 + 36*l**2 Differentiate 3*m**4 - 4*m**2*u - 16*m - 3318*u wrt m. 12*m**3 - 8*m*u - 16 What is the third derivative of 13*k**5*o**2 + 52*k**3*o**2 + 16*k**2*o**2 + 51*k**2 wrt k? 780*k**2*o**2 + 312*o**2 Find the third derivative of 4208*p**3 + 7684*p**2. 25248 What is the third derivative of 178*f**4 + 458*f**2? 4272*f Find the second derivative of 7771*c**2*v + 8*c*v - 2*c - 2*v - 151 wrt c. 15542*v What is the third derivative of -17*n**3*z**3 + 4*n**3*z**2 + 2*n**2*z**3 + 342*n**2 wrt n? -102*z**3 + 24*z**2 Differentiate 33*g**2*h**2*y + 74*g**2*j + 20*g*h*y - 8*h**2*j*y - 2*j*y wrt j. 74*g**2 - 8*h**2*y - 2*y Find the second derivative of -7158*y**2 + 4769*y wrt y. -14316 Differentiate -3*v**3*z**3 + 9*v**3 + 146*v**2 - 2*v*z**3 + 55*z with respect to z. -9*v**3*z**2 - 6*v*z**2 + 55 What is the derivative of 232*b**3*l**4 + 4*b**3 + 5*b**2 - 3*b*l**3 + 55 wrt l? 928*b**3*l**3 - 9*b*l**2 Find the second derivative of -533*t**2 + 119*t - 3. -1066 Find the second derivative of -27*d**2*i*t*x - 5*d**2*t**3*x + d**2*t*x - 5*d*i*t**3*x - d*t**2*x - d*t*x + 2*d*x - 9*i*t**2 wrt d. -54*i*t*x - 10*t**3*x + 2*t*x What is the third
{ "pile_set_name": "DM Mathematics" }
9 = h - 0 for h. 5 Let y(k) = 2*k - 13. Let h be y(6). Let j = 6 + h. Suppose 3*u - 16 = -4*b, -5*b - 8 = -b. Solve j*c + 4*t = u, 7 + 1 = -2*c + 4*t for c. 0 Let h be ((-84)/(-21))/(6/33). Solve -v + 8 = -2*c + h, -2*c = 4*v + 6 for v. -4 Let i(z) be the second derivative of 5/12*z**4 + 1/20*z**5 - 7/6*z**3 - 9*z - z**2 + 0. Let u be i(-6). Solve -u*y - 9 = -4*p - 1, -4*p = y - 13 for y. 1 Let b(x) = -x**3 - 8*x**2 - 9*x + 7. Let t be b(-7). Suppose 16*c + 100 = t*c. Solve 0 = 3*j + j + 5*q - c, 2*j - 10 = -4*q for j. 5 Suppose 0 = 4*b - 4*r - 16, -2*b - 2*r = 3*r - 8. Suppose -8 = -4*y + 4*l, 5*l = b*y + 4*l - 8. Solve -o + m - y*m - 6 = 0, -2*o + m = 0 for o. -2 Suppose 3*f = 3 - 0, 1 = o - 3*f. Let m = -5 - -9. Suppose 2*r - 3*h - 4 = 16, 0 = -4*r - 5*h - 4. Solve 10 = a + o*x, 0*a = -r*a + 2*x + m for a. 2 Let i(c) = -c**2 - 12*c - 29. Let v be i(-7). Solve 3*u + p + v + 1 = 0, -3*p = 4*u + 16 for u. -1 Let f(n) = n**2 - 2*n + 3. Let w be f(0). Suppose -j - j + 1 = -3*c, 0 = w*c - 3. Solve -2*b - j*d + 8 = -0*b, -3*b + 2*d = -17 for b. 5 Let s(h) = -h**2 + 11*h - 7. Let n be s(10). Suppose 2*q + 5*k = 20, 50 = 5*q - k + n*k. Solve 2*m + 2*w + 1 = -7, -4*m = -2*w + q for m. -3 Let k(m) = m**3 - 17*m**2 + 43*m - 9. Let c be k(14). Solve 24 = 4*d + c*x - 4*x, -2*d = -3*x + 2 for d. 5 Suppose 252*x - 56 = 224*x. Solve -3*g + 5*k - 21 = 0, -x + 13 = 2*g + 5*k for g. -2 Let h = 939 - 936. Solve 2 = -5*o - 4*u, 0*o + 5*u = h*o + 16 for o. -2 Suppose n + 8 = 4*a, 12 = 6*a - n + 2. Solve -t - a = 4*h - 2, -4*h = 3*t - 3 for h. 0 Let q = 12 - 19. Let u(t) = -3*t - 11. Let p be u(q). Suppose -2*i = -p, -2*i = -z - 0*i + 4. Solve -5 = 2*v + 5*o, z - 5 = -2*v - o for v. -5 Let s(w) = -w**2 + 7*w - 9. Let j be s(4). Suppose 4 = z - 2*n, j*z + 5*n - 4 = 2*z. Suppose -h + z = -0*h. Solve -5*l + 3*o - 5 = -29, -4*l = -h*o - 24 for l. 3 Let v = -53 + 58. Let j be ((16/(-20))/(-2))/(v/25). Suppose 4*i = x + 9, -4*x + 4 = 3*i - 2*x. Solve -g = j*g - i*s - 2, 18 = 2*g + 2*s for g. 4 Suppose 0 = -5*l + 102 - 2. Solve 3*q = 5*n + 20, 0*q + l = 5*n + 5*q for n. -1 Suppose 4 = 4*j - 5*j. Let v be (-5)/((j/28)/1). Suppose -5*n = -t - 56, 0 = 2*n + 5*t - v - 9. Solve 4*z = 4*x - n, 0*z + 4*x - 15 = z for z. 1 Let r(g) = g**3 + 5*g**2 - 6*g + 3. Let d be r(-6). Suppose 1 = -d*f + 16. Solve 29 = 4*n + f*l, -21 - 4 = -5*l for n. 1 Let c(j) = j**2 - 14*j - 9. Let m be c(17). Let s = m - 40. Solve -3*a + 3 = -s*a + 2*b, 0 = 2*a - 2*b + 12 for a. -3 Suppose 5 = o + 19*d - 21*d, 2*d - 16 = -2*o. Suppose -2*c + 10 = 2. Let m = o - c. Solve 8 = -2*a, m*a + 6 = i - 2 for i. -4 Suppose s + 5*j = -16, 4*j - 4 = -5*s - 0*j. Solve 0 = s*y + 20, -z - 5*y - 33 = z for z. -4 Let i(p) = -p**3 - 10*p**2 - 14*p + 18. Let d be i(-8). Solve -10 = q - 3*g, -d*q + 3*g = -0*g + 14 for q. -4 Let u be (3/5 - 1) + 1431/265. Solve 2*t + 6*s = 2*s + 12, -u*t + 16 = -4*s for t. 4 Let d be 384/(-160)*(-10)/6. Solve -d*s + 5*c - 37 = 0, 3*c = -s - 0*s + 12 for s. -3 Let t = -28 + 30. Let y = t + 0. Solve -4*i = 16, y*f + 3*f + 5*i = -25 for f. -1 Let y(j) = j**3 + 4*j**2 + j - 2. Let m be y(-2). Suppose m*k + 11 = 5*k. Suppose -13*h + 8 = -k*h. Solve 0 = 5*c + 10, -2*i + h*c = -c - 18 for i. 4 Let q = -68 + -21. Let g = 91 + q. Solve -n + m = g*m + 3, 0 = 3*n - m + 1 for n. -1 Let d be -3 + 5 - (1 - -68). Let k = d - -72. Solve 0 = -2*o - 2, t = 4*t + 5*o + k for t. 0 Let b be -12 + 5 - -8 - -2. Solve 2*t + 2*t - 8 = 2*u, b*t = -5*u + 19 for t. 3 Let o = 27 - 25. Let j be 4 + (o/(-1) - -2). Solve 2*h + j*c + 16 = 0, 3*h - 3*c - 8 = 13 for h. 2 Suppose 0 = -4*d + 5*u - 3, 15 = d - 26*u + 30*u. Solve 0 = 5*v + d*j - 3, 5*v = 4*j - 0 - 4 for v. 0 Let a be (2/3 + -1)*(-60)/4. Suppose r = -s - 0*s + 26, -a*r - 38 = -2*s. Solve 4*c + 21 = 5*i, -4*i + 6*c - c + s = 0 for i. 1 Suppose -8 = -y + x + 5, 3*x = 2*y - 21. Let q = y + -12. Suppose 0 = 2*u - q*u. Solve v + 2*v = 4*h - 10, -5*h - 3*v - 1 = u for h. 1 Suppose -3*c = l - 4, c - l + 191 = 187. Let u = -8 + 13. Solve v + 5 = -4*j, 3*v = -2*j - c*j + u for v. 3 Suppose 0 = -4*q + 3*q. Suppose 5*k - 10 + 10 = q. Solve 4*s + 1 = 5*z, k = 2*s - 7*s + 5 for z. 1 Suppose 6*a = 10*a - 20. Let i = 10 - a. Suppose -2*m + 5 = 4*q - i, m - 10 = -3*q. Solve 0 = -c + q*k - 3, -3*k + 4 = k for c. 2 Let q(x) = 5*x + 1 - 3*x - x**3 + 4 - 8*x - 5*x**2. Let l be q(-3). Solve -b = -l*h - 8, -3*h - 7 = 5*b + 9 for h. -2 Let v = 1563 + -1563. Solve p + 4*i + 1 = v, 2*i + i = 3 for p. -5 Let r(o) = -o - 2. Let c be r(-2). Let k = 1 - -1. Suppose -9*j = -4*j - k*j. Solve 4*h + 4*y + 12 = 0, c = -j*h - 3*h - 4*y - 10 for h. -2 Let i(a) = -a**2 + 11*a. Let p be i(11). Solve -g + 5*t = -13, 3*g + p*g + 12 = -2*t for g. -2 Let y be -3 + -2 + (10 - 0). Solve 8 = -s - s, 3*u + y*s = -17 for u. 1 Let p be (57/(-6))/((-3)/6) - 2. Solve 3*s = 6*s - 4*z + 23, 3*s = z - p for s. -5 Suppose -5*u - 5 = -3*g - 4*u, -4*u = -4. Suppose -g*z = -18 + 12. Let n(x) = x - 3. Let o be n(5). Solve -3 = 3*j - s + z*s, o*j + 21 = 5*s for j. -3 Let c(u) = -u**2 - 4*u - 2. Let j be 32/(-18) - (-18)/(-81). Let i be c(j). Solve 0 = -4*r - 3*m - i*m, 5*r - 41 = 4*m for r. 5 Let p be 24*4/((-12)/3). Let j = p + 26. Solve n + 5 = 2*l + j*n, 4 = -5*l + 3*n for l. 1 Let o be 0/((-35)/(-7) + -3). Solve 4*k - 25 = -5*l, o*l - 2*k = l - 5 for l. 5 Let g be 1/2*(2 + 2). Let y = 2 - g. Let a(f) = f**3 - 14*f**2 - 36*f + 66. Let m be a(16). Solve y = -m*w - 3*q + 13, 3*w = 2*q - 3*q + 16 for w. 5 Let a = -321 - -323. Solve 4*w + o = -8, a*w - 7 = w + 2*o for w. -1 Suppose -i + 28 = -0*i - 5*r, 3*i - 3*r - 24 = 0. Suppose 2*f + 2*w = 3*f - 22, 4*w + 20 = 0. Let a = f + -8. Solve i*c - d = -17, 3*c - a*d + 28 = c for c. -4 Let o = -1598 - -1600. Solve 0 = 2*w - o, 5*a + 2*w = 4 + 18 for a. 4 Let m = 24 + -16. Suppose 4*a - 6*a = -m. Solve -p + 3 - 18 = -a*t, 0 = 3*t + p - 13 for t. 4 Let j = 0 - -2. Suppose -8 = o - 9*o. Suppose -2*t + s = 1, 4*s = 2*t + 3 + o. Solve 14 = q - 2*l, t = 3*q - 2*l - j*l - 32 for q. 4 Suppose -104 = -5*a - 5*o + 81, 92 = 2*a - 4*o. Let g be (14/7 - 11)/((-1)/(-3)). Let z = g + a. Solve 0*f = f - 3*d + z, 0 = f + 4*d - 8 for f. -4 Let o(f) = f**3 - 16*f**2 - 2*f + 36. Let s be o(16). Solve -s*y + 24 = 2*u, 3 = -4*y - 3*u + 31 for y. 4 Let h be (-45)/(-30) - ((-11)/2 - -1). Solve -4*c = 5*k - 6, -2 = k - h*k - 3*c for k. -2 Let o be 9 - (-13)/(-2) - 1/(-2). Solve 0 = -o*h + 4*h + 5*y - 9, h = -2*y + 3 for h. -1 Let h = -187 - -192. Solve 2*t = f - 4*f + 6, h*t = 3*f - 6 for t. 0 Let o be (5 - 5)/(0 + 2). Let p be (0/(-1) + o)/(-2). Solve 2*j - 10 = -2*h, -2*h - 2*j - 2*j + 18 = p for h. 1 Let u(l) = -l + 15. Let n be u(9). Let j = 2 - 2. Solve 2*s - n = j, 4*x + 6*s - 6 = 4*s for x. 0 Suppose 19*q - 120 = 9*q. Solve -4*j - q = -4*a - 0*a, 0 = 5*j - a + 7 for j. -1 Suppose -4*u = 4 - 16. Let s(y) be the third derivative of y**4/24 - y**3/6 + 9*y**2. Let w be s(u). Solve z - 5 = 5*z - j, -5*j = -w*z - 7 for z. -1 Suppose 0 = -56*b + 102*b - 184. Solve b*p = -4*f + 2*p + 10, 3*f = -3*p + 15 for f. 0 Let a be ((-4)/3)/((-24)/36). Let v(i) = -i**3 + 4*i**2 - 2*i - 1. Let p be v(a). Solve 2*f + 5 = -y - 1, -20 = p*f - 4*y for f. -4 Let s = 103 + -93. Solve y + 5*j = 8 + 6, -s = -2*y - 4*j for y. -1 Let v be 789/(-12) - (-2)/(-8). Let c be 8/12*v/(-4). Solve -2*h - 2*h = 5*b - c, -4*b = 4*h - 8 for h. -1 Let s be (-7 - -5)/(4/(-10)). Suppose -3*o - 2*o = s, 4*o = -2*d - 68. Let c = -21 - d. Solve 5*i = 20, -t - 5*i + 2*i = -c for t. -1 Suppose -3*z + 2*b = 3 - 8, -15 = -3*z - 3*b. Solve -g = -z*s + 7, 4*g - 6 = -2*s + 5*g for s. 1 Let v(d) = -d**2 + 10*d - 16. Let r be v(4). Let b = 6 + -3. Suppose b*y - r - 37 = 0. Solve -a + 2*g = -4 - 2, y = -5*g for a. 0 Let c = 366 + -255. Let h = -109 + c. Solve -3*k = -4*k - 2, 0 = h*m + 4*k + 2 for m. 3 Let a be (4 - -1 - 8) + 5. Solve -3*s = a*s - 4*c - 21, 2*c = -3*s + 17 for s. 5 Suppose 5*h = 3*j + 51, -19 - 13 = -4*h - 2*j. Let c be 1 + 0 + 0 + 2 + 0. Solve -2*k - k + h = 3*d, -d = -c*k - 3 for d. 3 Suppose -11*m = -7*m - 6*m. Suppose a - 2 = -m. Solve 3*w + 5*j - 25 = 0, 2*j + 0*j = a*w + 10 for w. 0 Suppose 0*n + 4*o - 24 = -2*n, 46 = 5*n + 3*o. Solve 0 = -4*d - 4*u + 24, -5*u - 6 = -n*u for d. 4 Let i be (-513)/(-189) - (-2)/7. Solve -7*h
{ "pile_set_name": "DM Mathematics" }
p(v) - 4*m(v). 2*v Let o(f) = f**2 + 9*f + 9. Let g(m) = 4*m + 4. Calculate -9*g(a) + 4*o(a). 4*a**2 Let u(j) = 4*j**2 + 2*j - 2. Let c(a) = 0*a**2 + 5*a**2 - 4 + 1 + 3*a. Let w = -12 + 9. Give w*c(x) + 4*u(x). x**2 - x + 1 Let u(t) = 36*t - 1. Let m(r) = -37*r + 1. Determine 6*m(z) + 7*u(z). 30*z - 1 Let l(v) = 5*v**3 - 4*v**2 - 4. Let t(r) = r**2 + 1. Let i be -2 - 3 - (0 + -1). Determine i*t(n) - l(n). -5*n**3 Let l be 3*((-8)/(-3) + -2). Let f(j) = 3*j**3 - j**2 + 2*j - 2. Let g be f(l). Let p(d) = -d**2 + 2*d. Let w(u) = 5*u**2 - 11*u. What is g*p(z) + 4*w(z)? -2*z**2 Let b(n) = -6*n - 7. Let h(a) = 5*a + 6. Give -4*b(g) - 5*h(g). -g - 2 Let b(y) = -3*y + 4. Let p(o) = 7*o - 4. Let n(x) be the first derivative of x - 5. Let q(i) = 5*n(i) - p(i). Calculate -9*b(l) + 4*q(l). -l Let i(z) = 4*z + 2. Let j be i(-2). Let f(p) = 4*p - 6. Let h(d) = -d + 1. Suppose -4*u = u + 5. What is j*h(k) + u*f(k)? 2*k Let t(b) = -b**2 + b - 5. Let x = 0 - -2. Let g(j) = -4 + x - j + 0*j + 8 + j**2. Determine 3*g(q) + 4*t(q). -q**2 + q - 2 Let f(j) = 3*j + 6. Let p(a) = -2*a + 13 - 10 - 6. Give -3*f(y) - 5*p(y). y - 3 Let t(v) = -11*v**2 - 3. Let a(z) = -21*z**2 - 5. Determine 3*a(c) - 5*t(c). -8*c**2 Let x(y) = y**3 + 11. Let d(b) = -4. Let u(j) = 3. Let q(a) = 4*d(a) + 5*u(a). Give -44*q(i) - 4*x(i). -4*i**3 Let s(x) = 5*x + 3. Let v(h) be the second derivative of h**3/6 - 31*h. What is -s(q) + 4*v(q)? -q - 3 Suppose 20*a = 23*a - 12. Let c(v) = v - 4. Let i(g) = 2*g - 3. Give a*i(t) - 3*c(t). 5*t Let r(t) = 2. Suppose 0 = 3*k - u - 13 - 5, 0 = 5*u. Suppose -3*i - 15 = -k*i. Let c(l) be the first derivative of l**2/2 + 5*l + 11. Calculate i*r(b) - 2*c(b). -2*b Let f(c) = 63*c**3 - 12*c**2 + 12*c + 12. Let r(p) = -25*p**3 + 5*p**2 - 5*p - 5. What is 5*f(g) + 12*r(g)? 15*g**3 Let m = 2 + -2. Let v(i) be the second derivative of i + 1/6*i**3 - 1/4*i**4 + 1/2*i**2 + m. Let b(g) = -13*g**2 + 5*g + 4. Determine 4*b(x) - 18*v(x). 2*x**2 + 2*x - 2 Suppose 3*l + 30 = 5*l. Let r = 22 - l. Let d(w) = 5*w**2. Let k(s) = -11*s**2. Calculate r*d(q) + 3*k(q). 2*q**2 Let c(j) = 7*j + 3. Let u(g) = -15*g - 5. What is -13*c(i) - 6*u(i)? -i - 9 Let o(w) = 3*w**2 + 6*w + 4. Let m(j) = -j. Give 6*m(k) + o(k). 3*k**2 + 4 Let d(f) = -13*f - 5. Let v(w) be the third derivative of w**4/4 + w**3/3 - 20*w**2. Determine 3*d(n) + 7*v(n). 3*n - 1 Let c(s) = -3*s**3 + 8*s - 7. Let z(y) = 2*y**3 - 5*y + 5. Give -5*c(w) - 7*z(w). w**3 - 5*w Let u(m) = -m**2 - m - 1. Let c(a) = 15*a**2 + 21*a + 21. Calculate -4*c(z) - 84*u(z). 24*z**2 Let o(w) = -w**3 + w**2 - w + 1. Suppose 0 = -2*b + 8, -4*b + 4 = -3*t - 30. Let r(x) = -4*x**3 + 6*x**2 - 6*x + 6. What is t*o(s) + r(s)? 2*s**3 Let t(u) = 2*u - 2. Let n(m) = 1. Let h(k) = -2*k**3 + 56*k**2 + 59*k - 28. Let w be h(29). Let y = 10 + -6. Give w*t(d) + y*n(d). 2*d + 2 Let q(i) = -4*i + 3. Let m(f) = 9*f - 7. Give 2*m(g) + 5*q(g). -2*g + 1 Let r(b) = 14*b + 10. Let n(x) = -x - 1. Calculate -12*n(k) - r(k). -2*k + 2 Let g(p) = p**3 - 3*p**2 - 3*p - 1. Let x(f) = -f**3 + 2*f**2 + 2*f + 1. Determine -2*g(l) - 3*x(l). l**3 - 1 Let m(c) = 12*c**3 - 4*c**2 + 9*c - 5. Let w(g) = 30*g**3 - 10*g**2 + 22*g - 12. Determine 12*m(o) - 5*w(o). -6*o**3 + 2*o**2 - 2*o Let o(w) = -w**2 - 3. Let a(p) = -8 - 4 - 2 - p**2 + 9. Calculate 3*a(n) - 5*o(n). 2*n**2 Let w(r) = r. Let q(j) = 14*j. Calculate 6*q(y) - 132*w(y). -48*y Suppose -4*y - 12 = 4*d, 0 = -4*y - 0*d + d - 17. Let m(l) = -4. Let a(t) = t + 5. What is y*m(v) - 3*a(v)? -3*v + 1 Let w(j) = 2*j**3 - 3*j**2 - j - 3. Let t(u) = -u**3 - u**2 - 1. What is 3*t(h) - w(h)? -5*h**3 + h Let t(w) = -w**2 - w - 1. Let b(q) = -2*q**2 - 4*q - 3. Suppose 3*x + 8 = 2. Let s = 31 - 25. Determine s*t(m) + x*b(m). -2*m**2 + 2*m Let h(c) = 1. Let i(t) = -t + 2. Give -2*h(q) + i(q). -q Suppose 0 = 15*d - 11*d - 20, -a + 3*d - 9 = 0. Let v(n) = -3 + 2 + 0. Let m = 3 - 4. Let h(x) = -2*x**2 - 6. What is a*v(f) + m*h(f)? 2*f**2 Let w(c) = 7*c**3 + 5*c**2 - 5*c. Let g(k) = -6*k**3 - 5*k**2 + 4*k. What is 5*g(s) + 4*w(s)? -2*s**3 - 5*s**2 Let x(y) = y**2 + 2*y + 8. Let d(v) = -4*v**2 - 7*v - 25. Let u(c) = -2*d(c) - 7*x(c). Let a(b) = -1. What is 6*a(l) - u(l)? -l**2 Suppose 5*i + 0*p + 20 = 5*p, 4 = -4*i - 2*p. Let l(d) = d**3 - d - 1. Let x(u) = -u**3 - 2. Determine i*l(f) + x(f). -3*f**3 + 2*f Let l(y) = -2*y**2 - 4*y + 6. Let w(o) = -5*o**2 - 9*o + 13. Determine 13*l(h) - 6*w(h). 4*h**2 + 2*h Let u(h) = 7 - 4*h - 2*h + h - 4*h. Let d(i) be the third derivative of -i**4/6 + i**3/2 + i**2. Determine -7*d(q) + 3*u(q). q Let v(i) = 2*i**2 + 4*i - 1. Let f(h) = h**3 + 5*h**2 + 2*h + 7. Let q be f(-5). Let b(k) = 3*k**2 + 5*k - 1. Determine q*b(a) + 4*v(a). -a**2 + a - 1 Let t(s) = 10*s. Let q(a) = 21*a. Calculate -2*q(m) + 5*t(m). 8*m Let o(n) = -3*n. Let w = -13 - -18. Let l(v) = w - 4*v - 5. What is -5*l(q) + 7*o(q)? -q Let s(n) = n**2. Let b(k) = -30*k**2. What is -2*b(j) - 50*s(j)? 10*j**2 Let f(l) = 6*l**2 + 2*l - 3. Let g(k) = -k**2 + k - 1. Calculate f(q) - 2*g(q). 8*q**2 - 1 Let x(p) = -p**2 - 3*p + 6. Let g(u) = -u**2 - 3*u + 7. What is -3*g(r) + 4*x(r)? -r**2 - 3*r + 3 Let z(u) = -4*u**2 + u - 2. Suppose 2*n = -10, 0 = -2*b - 5*n + 5 - 48. Let i(w) = -17*w**2 + 5*w - 8. Determine b*z(f) + 2*i(f). 2*f**2 + f + 2 Let t(s) = -s**3 - 4*s. Let i be 4 + 2/((-4)/2). Let r(k) = 0*k**3 + 6*k**3 - 3*k**i + 11*k. Calculate -4*r(m) - 11*t(m). -m**3 Let q(m) = -m**3 - 2*m**2 - 3*m - 2. Let n(x) be the first derivative of -5*x**4/4 - 3*x**3 - 13*x**2/2 - 9*x + 8. Calculate -2*n(v) + 9*q(v). v**3 - v Let x(q) = -3*q - 1. Let i(l) = -7*l - 2. Determine 2*i(r) - 5*x(r). r + 1 Suppose -5*u - 2*d - 3 = 0, -3*u + 2*u = 3*d + 11. Let j(k) = -k**2. Let s(f) = 6*f**2 + 3*f - 1. Give u*s(x) + 5*j(x). x**2 + 3*x - 1 Let j(b) = -3*b**3 + 2*b + 3. Let m be 1 + 0 - (-4)/2. Let p(f) = 3*f**3 - f**2 - 2*f**m - 1 - f + 0*f**3. Let r = 2 - 3. Give r*j(u) - 2*p(u). u**3 + 2*u**2 - 1 Let l(x) = -x. Let c(k) be the second derivative of 4*k**3/3 - 3*k. Determine -c(i) - 6*l(i). -2*i Let c(h) = -17*h**2 + 4*h**2 + 37*h**3 - 28*h**3 - 17. Let q(x) = -2*x**3 + 3*x**2 + 4. What is -6*c(m) - 26*q(m)? -2*m**3 - 2 Let x(z) = 120*z**2 - 16*z - 16. Let d(h) = -40*h**2 + 5*h + 5. What is -16*d(c) - 5*x(c)? 40*c**2 Let j(b) = b**2 + 1. Let c(g) = -34*g**3 - 5*g**2 + 2*g - 5. Determine -c(d) - 5*j(d). 34*d**3 - 2*d Let m(k) = 7*k + 7. Let z = -6 + 7. Let i(f) = -3*f - 3. Let q(b) = -2*b - 2. Let x(g) = -3*i(g) + 4*q(g). Determine z*m(t) - 6*x(t). t + 1 Let g(l) = -l**2 - 3*l + 3. Suppose -9*x + 25 = -4*x. Let q(j) = j - 1. Give x*q(c) + g(c). -c**2 + 2*c - 2 Let f(d) = -7*d**3 - 3*d**2 - 3*d - 3. Let m(o) = 2*o**2 + 334*o - 326*o + 20*o**3 + 8 + 6*o**2. Calculate 8*f(z) + 3*m(z). 4*z**3 Let t be ((-21)/12)/(4/16). Let k(o) = -4 + o + 0*o + 3. Let x(n) = 3*n - 4. What is t*k(a) + 2*x(a)? -a - 1 Let o = 3 + 3. Let u(w) = 5*w - 6. Let y(q) = -6*q + 7. What is o*y(s) + 7*u(s)? -s Let r(v) = v + 5. Let z(f) be the first derivative of 2 - 2 + 3*f + 2 - 2*f. What is r(x) - 5*z(x)? x Let o(f) = -13*f**3 - 7*f + 10. Let r = -13 + 21. Let g(j) = j**2 - 9*j + 1. Let x be g(r). Let l(i) = 9*i**3 + 5*i - 7. What is x*l(m) - 5*o(m)? 2*m**3 - 1 Let t(i) be the first derivative of 4*i**2 - i - 384. Let b(s) = 0 + s + 0. Determine -5*b(a) + t(a). 3*a - 1 Let x(k) = 1. Let g(s) = 26*s - 5. Calculate -g(y) - 5*x(y). -26*y Let q(k) = -2*k + 3. Let b(u) = -2. Let j(g) be the first derivative of -3*g - 1. Let l = 0 - 4. Let s(p) = l*b(p) + 3*j(p). What is q(i) + 2*s(i)? -2*i + 1 Let q(s) = -6*s**2 + 2*s - 1. Let j(t) = 17*t**2 - 7*t + 3. Give -4*j(g) - 14*q(g). 16*g**2 + 2 Let k(b) = b**3 - b**2 + 4*b - 2. Let w(p) = -3*p**3 + 3*p**2 - 11*p + 5. Let u(j) = 11*k(j) + 4*w(j). Let f(a) = -1. Give -3*f(n) + u(n). -n**3 + n**2 + 1 Let k(s) = 1 + 49*s**3 + 5 - 33*s**3 - 7*s. Let r(q) = 11*q**3 - 5*q + 4. Let a(w) = w**3 + 9*w**2 + 8*w - 5. Let u be a(-8). Determine u*k(z) + 7*r(z). -3*z**3 - 2 Let k = 25 + -12. Let d(h) = 7*h**2 + 7*h + k*h - 4 - 20*h. Let u(f) = -27*f**2 + 15. Calculate 15*d(a) + 4*u(a). -3*a**2 Let n(p) = 3*p**2 + 2*p + 5. Let s(u) = -u - 1. Give n(d) + 4*s(d). 3*d**2 - 2*d + 1 Let g(f) = -f - 1. Let l(b) be the first derivative of 3*b**2 - 2 + b + 5*b + 0*b**2 + 3. Calc
{ "pile_set_name": "DM Mathematics" }
ng 2 o and 1 r. 63/272 What is prob of picking 2 j when two letters picked without replacement from jjjjkjkkkkjkkkjjkjj? 5/19 Three letters picked without replacement from {m: 2, a: 9}. Give prob of picking 2 a and 1 m. 24/55 Three letters picked without replacement from {i: 3, h: 4, f: 3, w: 3, v: 2, s: 1}. What is prob of picking 1 h and 2 i? 3/140 Four letters picked without replacement from {r: 4, p: 2, x: 9, h: 1, n: 1}. Give prob of picking 1 h, 2 x, and 1 n. 9/595 Three letters picked without replacement from smsmmss. Give prob of picking 3 s. 4/35 What is prob of picking 1 l and 1 r when two letters picked without replacement from {h: 1, z: 9, l: 2, x: 4, r: 4}? 4/95 Calculate prob of picking 1 b, 1 t, and 1 p when three letters picked without replacement from dpdpvvtbbddp. 3/110 Three letters picked without replacement from {p: 6, c: 5, r: 3, s: 1, q: 3}. What is prob of picking 1 s, 1 p, and 1 c? 5/136 Three letters picked without replacement from gugguggggg. Give prob of picking 2 u and 1 g. 1/15 What is prob of picking 1 y and 1 l when two letters picked without replacement from byiclcbp? 1/28 Three letters picked without replacement from gglggmlm. Give prob of picking 1 g and 2 l. 1/14 Calculate prob of picking 2 k when two letters picked without replacement from {x: 5, k: 9}. 36/91 What is prob of picking 1 f and 1 q when two letters picked without replacement from {f: 1, c: 1, q: 3}? 3/10 Two letters picked without replacement from vvomvhhhhvkkvvhv. What is prob of picking 2 v? 7/40 What is prob of picking 2 y and 1 p when three letters picked without replacement from {y: 7, c: 2, p: 4, l: 5}? 7/68 Three letters picked without replacement from {v: 2, z: 5, c: 6, l: 2, y: 3, k: 1}. Give prob of picking 1 y, 1 l, and 1 c. 12/323 Three letters picked without replacement from {e: 3, i: 4, b: 3, w: 1}. What is prob of picking 2 i and 1 w? 2/55 Calculate prob of picking 1 w, 1 j, and 1 d when three letters picked without replacement from {j: 2, w: 2, m: 1, n: 4, u: 3, d: 3}. 12/455 Two letters picked without replacement from {j: 1, x: 4, m: 2, c: 1}. What is prob of picking 1 x and 1 j? 1/7 Two letters picked without replacement from zchczuzhzzcjhchjhj. Give prob of picking 2 z. 10/153 What is prob of picking 4 c when four letters picked without replacement from lclcllllclrlllclllrr? 1/4845 Two letters picked without replacement from {k: 1, p: 7}. What is prob of picking 1 k and 1 p? 1/4 Calculate prob of picking 2 s when two letters picked without replacement from zmzbmsbs. 1/28 What is prob of picking 1 w and 1 o when two letters picked without replacement from wwwwsowwwoojosw? 32/105 Calculate prob of picking 2 j when two letters picked without replacement from mjmyymmmjmymmjmyyjmy. 3/95 Four letters picked without replacement from {u: 1, s: 1, n: 7, x: 3, b: 7}. What is prob of picking 1 u, 1 x, and 2 b? 21/1292 Two letters picked without replacement from eekkkkxkzkkkkxzkkkxd. Give prob of picking 1 x and 1 z. 3/95 Four letters picked without replacement from {k: 4, g: 5, m: 5}. Give prob of picking 2 m and 2 k. 60/1001 Two letters picked without replacement from {u: 7, t: 1}. Give prob of picking 1 u and 1 t. 1/4 Two letters picked without replacement from agggagaaaagaaggaaagg. Give prob of picking 1 a and 1 g. 99/190 Calculate prob of picking 1 e and 2 v when three letters picked without replacement from {e: 1, v: 7}. 3/8 Four letters picked without replacement from {o: 4, p: 1, f: 2, a: 2, u: 1, d: 2}. What is prob of picking 1 p, 1 d, 1 u, and 1 f? 4/495 Calculate prob of picking 2 o, 1 q, and 1 t when four letters picked without replacement from {w: 5, q: 1, t: 5, o: 4}. 2/91 What is prob of picking 4 t when four letters picked without replacement from rttllrtlltrrtttr? 1/52 Two letters picked without replacement from {s: 8, z: 2, v: 1, i: 1, y: 2, k: 6}. What is prob of picking 1 s and 1 y? 8/95 What is prob of picking 3 t when three letters picked without replacement from tttttgtgtttttgtggtt? 364/969 Two letters picked without replacement from fuf. Give prob of picking 1 u and 1 f. 2/3 Three letters picked without replacement from {d: 3, o: 1, s: 1, b: 5, r: 2, n: 3}. What is prob of picking 1 s, 1 n, and 1 b? 3/91 What is prob of picking 2 p, 1 c, and 1 f when four letters picked without replacement from {c: 2, f: 7, p: 4}? 84/715 Three letters picked without replacement from nqnnnqnqgqq. What is prob of picking 3 q? 2/33 Three letters picked without replacement from {o: 3, r: 11}. What is prob of picking 3 o? 1/364 What is prob of picking 1 t, 1 x, and 1 d when three letters picked without replacement from udvtuvpx? 1/56 What is prob of picking 1 s, 1 r, and 1 q when three letters picked without replacement from {q: 2, s: 3, r: 5}? 1/4 What is prob of picking 1 p, 1 u, and 1 s when three letters picked without replacement from {p: 3, u: 2, r: 4, s: 9}? 9/136 Three letters picked without replacement from {g: 1, b: 1, a: 1, r: 2, l: 3, p: 4}. Give prob of picking 2 l and 1 g. 3/220 What is prob of picking 1 p and 1 l when two letters picked without replacement from {s: 3, y: 2, p: 1, l: 6, v: 3}? 2/35 Three letters picked without replacement from {w: 1, m: 2, q: 1, g: 1}. What is prob of picking 1 q and 2 m? 1/10 Four letters picked without replacement from slsywilillssgssslyys. Give prob of picking 2 l and 2 y. 2/323 Calculate prob of picking 1 j and 1 h when two letters picked without replacement from jddjjjhd. 1/7 What is prob of picking 2 n and 2 s when four letters picked without replacement from jjsnjjeneejjeseeeje? 1/3876 Four letters picked without replacement from cncgkwvg. Give prob of picking 2 c, 1 g, and 1 k. 1/35 Calculate prob of picking 1 v and 1 c when two letters picked without replacement from ckcvkvvvcvchckvvckk. 14/57 What is prob of picking 1 r, 1 j, 1 d, and 1 f when four letters picked without replacement from {g: 4, f: 2, j: 1, d: 1, r: 1}? 1/63 Three letters picked without replacement from {q: 1, m: 3, y: 1}. What is prob of picking 1 y and 2 m? 3/10 What is prob of picking 1 s and 3 p when four letters picked without replacement from {v: 1, f: 3, s: 1, o: 4, n: 1, p: 4}? 4/1001 Calculate prob of picking 2 p when two letters picked without replacement from {p: 2, q: 7}. 1/36 Three letters picked without replacement from {i: 10, g: 3, q: 2}. What is prob of picking 2 i and 1 g? 27/91 Calculate prob of picking 2 w and 1 f when three letters picked without replacement from wfwwwwffwfffwwwfff. 27/68 What is prob of picking 2 e when two letters picked without replacement from qkeepqpppkqp? 1/66 What is prob of picking 1 k and 1 e when two letters picked without replacement from klmletetkmymkl? 6/91 Two letters picked without replacement from dcpcrcr. What is prob of picking 1 r and 1 c? 2/7 Three letters picked without replacement from vvvvrvrvrv. Give prob of picking 3 v. 7/24 What is prob of picking 2 j and 1 z when three letters picked without replacement from {z: 4, j: 6}? 1/2 Calculate prob of picking 2 y when two letters picked without replacement from ggjgghgjjyqyg. 1/78 What is prob of picking 1 n, 1 c, and 1 e when three letters picked without replacement from {j: 1, z: 1, u: 1, c: 1, n: 2, e: 1}? 2/35 What is prob of picking 1 n and 1 b when two letters picked without replacement from {b: 1, k: 2, n: 2, r: 4}? 1/18 Calculate prob of picking 1 g, 1 m, and 1 q when three letters picked without replacement from {g: 2, x: 1, q: 3, m: 2, y: 6, c: 4}. 1/68 What is prob of picking 1 r and 1 m when two letters picked without replacement from llgrbpm? 1/21 Two letters picked without replacement from {k: 8, g: 1, f: 1, h: 5, n: 2, r: 3}. Give prob of picking 2 k. 14/95 Four letters picked without replacement from kwxwujwojoxjox. Give prob of picking 2 o, 1 w, and 1 k. 9/1001 Four letters picked without replacement from {b: 10}. What is prob of picking 4 b? 1 Three letters picked without replacement from {w: 8, l: 2, r: 1, m: 5, p: 1}. Give prob of picking 3 m. 1/68 Two letters picked without replacement from mnmmmnnmxmccqxx. Give prob of picking 1 n and 1 x. 3/35 Two letters picked without replacement from byyyoyygyggy. Give prob of picking 1 g and 1 y. 7/22 Two letters picked without replacement f
{ "pile_set_name": "DM Mathematics" }
2/9, 1/2 Let a be (2419/(-738)*9 - -30)*(-6)/(-7). Determine j so that -7500/7 - 300/7*j - a*j**2 = 0. -50 Let x(n) be the first derivative of -n**4/4 - 23*n**3/2 - 63*n**2 + 305*n - 218. Let w(y) be the first derivative of x(y). Factor w(c). -3*(c + 2)*(c + 21) Let s = 101512/118433 + 2/118433. Suppose -2/7*y**3 - 4/7*y - s*y**2 + 0 = 0. What is y? -2, -1, 0 Factor -15/2*h**2 + 93/2 - 1/4*h**3 + 37/4*h. -(h - 3)*(h + 2)*(h + 31)/4 Let k(y) be the third derivative of -y**5/30 + 97*y**4/12 - 32*y**3 + 428*y**2 - 3*y + 1. Factor k(t). -2*(t - 96)*(t - 1) Factor 5751*k - 14*k**3 - k**4 + 5732*k - 25*k**2 - 11495*k. -k*(k + 1)**2*(k + 12) Let j(f) be the first derivative of -f**5/3 + 325*f**4/12 - 1535*f**3/9 + 705*f**2/2 - 300*f - 7122. Suppose j(h) = 0. Calculate h. 1, 3, 60 Let s(m) be the first derivative of m**4/2 + 562*m**3/3 + 19599*m**2 - 39762*m + 1196. Factor s(f). 2*(f - 1)*(f + 141)**2 Let 54*x**2 + 2*x**3 + 264 + 223*x + 126*x - 117*x = 0. What is x? -22, -3, -2 Let -1404/7*r + 1402/7 + 2/7*r**2 = 0. Calculate r. 1, 701 Let o(i) be the third derivative of i**7/1680 + i**6/720 - i**5/120 + 42*i**3 + 45*i**2. Let m(j) be the first derivative of o(j). Find p, given that m(p) = 0. -2, 0, 1 Let j(d) be the first derivative of -d**6/33 - 112*d**5/55 + 299*d**4/22 - 740*d**3/33 - 236*d**2/11 + 976*d/11 + 1491. Find a, given that j(a) = 0. -61, -1, 2 Let f(v) = 30*v**2 - 121*v - 292. Let p(r) = 51*r**2 - 201*r - 486. Let t(c) = -12*f(c) + 7*p(c). Determine b, given that t(b) = 0. -2, 17 Suppose a - 4*x + 40 = 0, -5*a - 17890*x + 17895*x = 35. Find b such that 0*b**3 + 0*b**2 + 0*b + 0 + 4/7*b**5 - 4/7*b**a = 0. 0, 1 Let g = -161 + 157. Let m(l) = 22*l**2 + 89*l + 8. Let k be m(g). Factor 10/11*i**3 - 2/11*i**2 - 8/11*i**k + 0 + 0*i. -2*i**2*(i - 1)*(4*i - 1)/11 Let d(t) be the first derivative of -7*t**2 + 0*t - 1/24*t**4 - 1/4*t**3 + 1/120*t**5 + 5. Let l(n) be the second derivative of d(n). Factor l(u). (u - 3)*(u + 1)/2 Let v(w) be the first derivative of -w**6/24 + 7*w**5/20 + 9*w**4/8 + w**3/6 - 17*w**2/8 - 9*w/4 + 153. Find z, given that v(z) = 0. -1, 1, 9 Let o(m) be the first derivative of -m**4 - 268*m**3/3 - 262*m**2 - 260*m - 6678. Suppose o(i) = 0. Calculate i. -65, -1 Suppose 5*h - 20 = -5*x, 3*x + 20 = -h + 8*x. Suppose 14*f - 9*f - 125 = h. Solve -10*y**4 - 57*y**2 - 34*y**3 - 8*y - 3 + 3 + f*y**2 = 0. -2, -1, -2/5, 0 Suppose 8*o + 6 + 2 = 0. Let a be (o + -2)*(33/(-22) - 2). Solve 21/2*y**4 + 0 - a*y**3 - 3*y**5 + 0*y + 3*y**2 = 0 for y. 0, 1/2, 1, 2 Let q(l) = l**3 - 15*l**2 - 8*l - 69. Let v be q(15). Let o be 6 - 16/(576/v). What is j in 0 + 0*j - o*j**2 - 5/4*j**4 - 15/2*j**3 = 0? -3, 0 Suppose 67*a = 78*a. Let u(d) be the second derivative of 1/3*d**4 - 2*d + 3/10*d**5 + a + 0*d**2 + 0*d**3. Determine j, given that u(j) = 0. -2/3, 0 Let z = 21 - 16. Let b = z + -5. Determine d, given that -4*d**2 + 2*d + 5*d**2 + b*d - 2*d**2 = 0. 0, 2 Solve 104*x + x**4 + 142*x + 53*x**3 + 77*x**3 + 44*x + 425*x**2 - 6*x**4 = 0 for x. -2, -1, 0, 29 Let b(u) be the first derivative of -5/3*u**3 + 0*u - 25/2*u**2 + 47. Solve b(k) = 0. -5, 0 Determine j, given that 398/9*j + 2/9*j**3 + 404/9*j**2 - 268/3 = 0. -201, -2, 1 Let w = 568/521 - 1751/2084. Factor 0 - 1/4*j**4 + 1/2*j**3 + w*j**2 - 1/2*j. -j*(j - 2)*(j - 1)*(j + 1)/4 Let a(q) be the third derivative of q**8/1008 - q**7/315 - q**6/18 + 31*q**5/90 - 61*q**4/72 + 10*q**3/9 - 1593*q**2 - q - 1. Determine d so that a(d) = 0. -5, 1, 4 Let b(u) be the first derivative of -u**5/5 + 33*u**4/4 - 136*u**3 + 1120*u**2 - 4608*u - 564. Determine t, given that b(t) = 0. 8, 9 Let y be (-82 - -83)*(0 + 80)/(-2). Let t = y + 45. What is c in 68/9*c**2 + 4/3*c + 112/9*c**4 + 32/9*c**t + 0 + 136/9*c**3 = 0? -3/2, -1, -1/2, 0 Factor -80*z**3 - 14*z**3 - 20*z**2 + 32*z**2 + 81*z**2 + z**4. z**2*(z - 93)*(z - 1) Solve -28*j**2 - 98*j**2 - 276*j**2 - 7*j**3 + 4*j**3 + 405*j = 0. -135, 0, 1 Let i(u) = u**2 - 62*u + 795. Let n be i(18). Let -7/4*a**2 - 1/4*a**n - 3 - 4*a = 0. What is a? -3, -2 Let t(j) be the first derivative of j**5/35 - 31*j**4/28 + 85*j**3/7 - 225*j**2/14 + 4315. Factor t(w). w*(w - 15)**2*(w - 1)/7 Factor 236 - 3*y**2 - 714 + 238 + 240 - 5319*y. -3*y*(y + 1773) Let p be 2/(-76)*2834/(-327) + (-6)/(-57). Factor -5/3*n + p*n**2 + 0. n*(n - 5)/3 Let r = 2/119 + -1692/1547. Let o = 8/65 - r. Factor -4/5*p**2 + 2/5*p**5 + 0 + 0*p**4 + 0*p - o*p**3. 2*p**2*(p - 2)*(p + 1)**2/5 Let h(f) = -11*f**2 - 43*f + 9. Let r be h(-4). Suppose 5*l**r - 8*l - 8*l**4 + 10*l**2 - 14*l - 7*l + 24*l - 2*l**4 = 0. Calculate l. -1, 0, 1 Let t(u) be the third derivative of 23/40*u**4 - 1/25*u**6 - 11*u + 9*u**2 + 0 - u**3 + 1/560*u**8 - 1/10*u**5 + 2/175*u**7. Determine a so that t(a) = 0. -5, -2, 1 Let y(s) be the second derivative of -s**6/180 + s**5/12 + s**4/2 + 47*s**3/6 - 11*s. Let u(d) be the second derivative of y(d). Factor u(w). -2*(w - 6)*(w + 1) Let h(f) be the third derivative of 0*f**3 + 1/120*f**6 - 1/10*f**5 - 88*f**2 + 0 + 5/24*f**4 + 0*f. Let h(m) = 0. What is m? 0, 1, 5 Suppose 646 - 1010 = -555*j + 746. Determine s, given that 0 + 3/2*s**5 - 6*s**j + 4*s**3 + 0*s + 13/2*s**4 = 0. -3, -2, 0, 2/3 Let k(j) be the first derivative of -4*j + 76 - 1/3*j**3 + 2*j**2. Factor k(u). -(u - 2)**2 Let u(b) be the second derivative of 25*b**4/12 + 4670*b**3/3 - 1870*b**2 + 5794*b. Solve u(k) = 0. -374, 2/5 Let j(m) be the third derivative of m**6/210 - 2*m**5/15 - 5*m**4/14 - 496*m**2 + 2. Factor j(d). 4*d*(d - 15)*(d + 1)/7 Let h = 7236 + -7212. Let d(t) be the first derivative of -h - 3/5*t**5 + 0*t - 3/4*t**4 + 0*t**2 + t**3 + 1/2*t**6. Let d(n) = 0. Calculate n. -1, 0, 1 Suppose -2 + 8 = 2*b + 2*v, -38*v = -7 - 107. Let -y**2 + 1/3*y**3 + b - 4/3*y = 0. Calculate y. -1, 0, 4 Factor 1135*k + 5/2*k**2 - 2275/2. 5*(k - 1)*(k + 455)/2 Suppose -26 = 7*l + 107. Let o(b) = 19*b + 364. Let s be o(l). Find j, given that 53/10*j**2 + 21/10*j + 27/10*j**s - 9/10 + 2/5*j**4 = 0. -3, -1, 1/4 Let h(o) be the third derivative of 1/315*o**7 + 0*o**3 + 37*o**2 - 1/144*o**4 + 0*o - 1/2016*o**8 + 1/90*o**5 + 0 - 1/120*o**6. Solve h(s) = 0 for s. 0, 1 Let h(u) be the first derivative of -u**3/12 + 11*u**2/2 - 43*u/4 + 141. Factor h(r). -(r - 43)*(r - 1)/4 Let q be (19*-1)/(168/2268). Let l = 257 + q. Factor 5/2*u**3 + 3/2*u + 0 + 7/2*u**2 + l*u**4. u*(u + 1)**2*(u + 3)/2 Let z(q) be the second derivative of 1/120*q**4 + 0 - 3/20*q**2 - 23*q + 1/30*q**3. Factor z(s). (s - 1)*(s + 3)/10 Let a(q) be the second derivative of q**4/36 - 175*q**3/3 - 299*q + 1. Find o such that a(o) = 0. 0, 1050 Let z = 401739 + -401736. Determine m so that 1/4*m**z - 5/4*m**2 - 1/8*m + 5/8 + 5/8*m**4 - 1/8*m**5 = 0. -1, 1, 5 Let t be 20/8*(2*-1 - 0). Let a(o) = 12*o**2 + 11*o + 7. Let q(x) be the first derivative of x**3/3 + x**2/2 + x + 12. Let r(c) = t*a(c) + 35*q(c). Factor r(l). -5*l*(5*l + 4) Let x(d) = -d**3 - 9*d**2 - 66*d - 44. Let u be x(-19). Factor -u + 7*g**2 + 65*g - 2400 + 315*g - 12*g**2. -5*(g - 38)**2 Let c(h) be the second derivative of -5/6*h**3 - 18 + 2*h + 45/2*h**2 + 1/4*h**5 - 15/4*h**4. Find i such that c(i) = 0. -1, 1, 9 Let u(j) be the second derivative of 28/9*j**3 - 4/3*j**2 - 35/18*j**4 + 11/30*j**5 + 0 - 76*j. Factor u(n). 2*(n - 2)*(n - 1)*(11*n - 2)/3 Let t(x) be the first derivative of x**5/5 + 143*x**4/4 - 145*x**3 + 437*x**2/2 - 146*x + 2918. Factor t(s). (s - 1)**3*(s + 146) Let b be 3 - 4 - -8 - (-135)/(-30). Let t(c) be the third derivative of 10*c**2 + 0 - 1/12*c**5 + b*c**3 + 0*c - 5/12*c**4. Factor t(u). -5*(u - 1)*(u + 3) Factor 2532*q**3 + 3*q**4 + 288*q**2 - 5132*q**3 + 2534*q**3 + 864*q. 3*q*(q - 12)**2*(q + 2) Let i(z) be the first derivative of z**3/9 + 13*z**2/6 - 66*z + 8192. Factor i(n). (n - 9)*(n + 22)/3 Find l, given that -76/5*l**3 + 0 - 104/5*l**2 - 48/5*l - 22/5*l**4 - 2/5*l**5 = 0. -6, -2, -1, 0 Let t(r) = -32*r**2 - 4*r - 10. Let o(j) = -10*j**2 - 2*j - 3. Let n(l) = 10*o(l) - 3*t(l). Factor n(x). -4*x*(x + 2) Let v(j) be the second derivative of -j**6/10 + 9*j**4/4 - 2*j**3 - 18*j**2 - 3*j + 129. Factor v(u). -3*(u - 2)**2*(u + 1)*(u + 3) Let t = -3430 + 6861/2. Let i(g) be the first derivative of 1/2*g**3 + t*g**2 + 1/20*g**5 + 18 + 1/4*g + 1/4*g**4. Suppose i(m) = 0. Calculate m.
{ "pile_set_name": "DM Mathematics" }
remainder when 1261/39 + 1/(-3) - 1 is divided by 19. 12 Let k(f) = 3*f + 28. Let c be k(-7). Suppose -6*l = -c*l + 23. What is the remainder when 135 is divided by l? 20 Let a(k) = -k**2 + 4*k. Let z be a(1). Suppose -136 = -3*s - 4*p, -z*p = -2*s + 58 + 44. What is the remainder when 137 is divided by s? 41 Let x(v) be the third derivative of 59*v**5/60 - 7*v**2. Suppose 2*s = -8*s + 120. What is the remainder when x(1) is divided by s? 11 Let u(j) = -j**2 + 43*j + 542. Suppose -2*s - 3*s + 132 = 3*c, 4*s + 3*c - 105 = 0. Calculate the remainder when u(51) is divided by s. 26 Calculate the remainder when 1308 is divided by (-5)/(-13 - (-684)/54). 3 Suppose 0 = -2*d - o + 23, -o + 4*o + 15 = 0. Suppose 0 = -l - 9*l + 480. Calculate the remainder when l is divided by d. 6 Suppose 101 = -6*w + 179. Calculate the remainder when 269 is divided by w. 9 Let x(r) = -3*r**3 - 18*r**2 - 3*r - 2. Suppose -1 = n + 5*o - 5, 2*n + 3*o + 6 = 0. What is the remainder when 28 is divided by x(n)? 12 Let b = -402 + 414. Calculate the remainder when 266/4 + 6/b is divided by 67. 0 Let w = 2099 + -1213. Suppose -3*o = 6, -j + 4*o = -123 + 26. Calculate the remainder when w is divided by j. 85 Let u(s) = 4*s + 14. Let c be u(-4). Calculate the remainder when 12 is divided by (-2 - 0)/c + (9 - 5). 2 Suppose 0 = 4*f + 5*p - 81, -2*f = -10*p + 8*p - 54. Suppose -492 = 12*x - f*x. What is the remainder when 118 is divided by x? 36 Suppose 285*l = 7845 + 3270. What is the remainder when 141 is divided by l? 24 Suppose -84 = 5*i - 529. Let v be (2 + 434/21)/((-4)/(-42)). Suppose 3*x - v = -2*x - 2*a, -5*a = -4*x + 164. Calculate the remainder when i is divided by x. 43 Let d = 101 - 64. Let m = d - 11. Suppose -o + m = 2*v, 0*v + 3*o - 23 = -v. Calculate the remainder when 41 is divided by v. 8 Suppose 18 = -r + 212. Calculate the remainder when r is divided by 47. 6 Suppose 601 = 8*o - 3*o - 4*m, -3*m = o - 105. Let s = 1 - -3. Calculate the remainder when o is divided by s. 1 Calculate the remainder when (1430/(-33))/((-11)/132) is divided by 19. 7 Let t(l) = 9*l**2 + 78*l + 10. Calculate the remainder when 459 is divided by t(-9). 15 Suppose 0 = 4*l + 38 - 326. Let v be -1*(-58 + 42/7). Let a = l - v. What is the remainder when a is divided by 15? 5 Suppose -o - 2*s = -339, -4*o + 3*s = o - 1695. What is the remainder when o is divided by 26809/765 + -15 - 6/135? 19 Let j(h) = 9*h**2 + 195*h + 789. What is the remainder when j(-4) is divided by 26? 23 Suppose 0 = -4*h - h + 15, -2*h = -5*i + 689. Let z = 57 - i. Calculate the remainder when 53 is divided by 4/12 - z/6. 11 Suppose 2*t = k + t - 155, 2*t = 0. Let l = -6666 + 6692. What is the remainder when k is divided by l? 25 Suppose 0 = -5*a + j + 1523, -2*j + 1231 = 4*a - j. Calculate the remainder when a is divided by 192. 114 Let f be 2/(-4) - 450/4. Let w be (4/(-10))/(44/9680). Let p = w - f. What is the remainder when p is divided by 14? 11 Let k(h) = -884*h - 6676. Calculate the remainder when k(-9) is divided by 217. 195 Suppose 4*a - 2*s - 284 = 0, 39 = -2*a + 2*s + 183. What is the remainder when 123 is divided by a? 53 Let a(h) = -2*h**2 + 15*h - 105. Let y be a(14). Let d = -227 - y. Calculate the remainder when d is divided by 56. 4 Let z be (-2)/4 - 6/((-60)/25). Suppose -18*h + 40 = -14*h + 4*l, z*h - 2*l - 4 = 0. Calculate the remainder when 15 is divided by h. 3 Suppose 3222355 - 11471604 = -817*k. Calculate the remainder when k is divided by 326. 317 Let l = -203 - -209. Let y(a) = 10*a - 22. What is the remainder when 303 is divided by y(l)? 37 Suppose p + 15 = 4*p. What is the remainder when ((-27)/6)/((-1)/2) is divided by -2 + 2 + -1 + p? 1 Let f(k) = -64*k - 2383. Calculate the remainder when f(-40) is divided by 40. 17 Suppose -115*n - 397429 = -1123079. Calculate the remainder when n is divided by 107. 104 Let q(t) = 16*t**3 + 4*t**2 - t - 2. Let w be q(1). Let d = 151 - w. Suppose 2*x - 5*l = 54, 4*l - l = 0. Calculate the remainder when d is divided by x. 26 What is the remainder when 64 + -2 + -23 + 41 is divided by 4? 0 Let g(x) = -758*x - 2855. Calculate the remainder when g(-7) is divided by 152. 19 Suppose 0 = -223*h + 38843 + 9147 + 31398. Let l(s) = 3*s + 2. Calculate the remainder when h is divided by l(6). 16 Let p = 86 + -83. Suppose 3*i - 42 = -p*i. Let a = i + 134. What is the remainder when a is divided by 16? 13 Let s = 11 + -14. Suppose -5*v + 5*q + 243 = -272, -3*q - 505 = -5*v. What is the remainder when v is divided by (-4 - s - 1) + 35? 32 Let h(r) = 84*r - 1558. Calculate the remainder when h(44) is divided by 58. 50 Suppose 0 = -2*a - 39*g + 44*g + 1359, -g = -5*a + 3363. Suppose -63*w + a = -57*w. Calculate the remainder when w is divided by 3. 1 Let y be (2 - 2)/(3 - 4). Suppose -w + 3 = h, 5*h + 7*w - 5*w - 27 = y. What is the remainder when 81 is divided by h? 4 Let z(p) = p - 1. Let d(q) = -12*q + 6. Let x(t) = 2*d(t) + 22*z(t). Let j(o) = 52*o + 45. Let w be j(-1). What is the remainder when x(w) is divided by 3? 1 Let r = 1889 + -1711. Calculate the remainder when r is divided by 57. 7 Suppose -14764*k + 14733*k = -527. What is the remainder when 7851 is divided by k? 14 Let q(r) = r**2 + 40*r - 68. Let a be q(-28). Let j = a - -499. Calculate the remainder when j is divided by 11. 7 Let q(o) = -8*o - 11. Let g be ((-2)/5 - -1)/(28/140). Suppose -53 = g*y + 4*r - 0*r, 4*r + 9 = y. Calculate the remainder when q(y) is divided by 29. 19 Let l = -19 - -29. Suppose -9*y + 2*x + 34 = -8*y, -y - 4*x = -40. What is the remainder when y is divided by l? 6 Let l(i) = i**3 - i**2 - 54*i + 97. Let j(h) = 448*h**3 - h**2 + h. What is the remainder when j(1) is divided by l(8)? 109 Let y = 37 - 7. Suppose j - d = y, -j - 2 + 42 = -3*d. What is the remainder when j is divided by 3? 1 Let t(p) = 11*p + 364. What is the remainder when t(9) is divided by 126? 85 Let p(s) = -8*s + 1. Let j = -100 + 103. Suppose j*k = 9*k - 198. What is the remainder when k is divided by p(-2)? 16 Suppose -21*t + 11*t + 90 = 0. What is the remainder when 121 is divided by (31/(-2))/(-2 + t/6)? 28 Let l be (3/(-30))/((-1)/(-6))*-30. Calculate the remainder when 49/(5 + l/(-4)) is divided by (-1)/((-3)/33)*3. 32 Let l be (11/1 - 1) + -2. Let v(g) = 3*g + 8. Suppose -j + 244 = 227. What is the remainder when v(l) is divided by j? 15 Let m(d) = d**2 - 10*d + 16. Let u be m(2). Suppose u = -13*a + 7*a + 72. Calculate the remainder when 58 is divided by a. 10 Let o = -23116 + 23146. What is the remainder when 657 is divided by o? 27 Let u = 5550 - 5479. What is the remainder when 264 is divided by u? 51 Let j = -3219 - -3234. What is the remainder when 254 is divided by j? 14 Suppose -37*h = -3*w - 42*h + 762, -2*w + 5*h + 533 = 0. What is the remainder when w is divided by 46? 29 Suppose 61*s - 64*s = -93. Suppose -2*a + 5*l = -61, l = -3*a - 0*l + 134. Let t = -36 + a. Calculate the remainder when s is divided by t. 3 Let r(o) = 3*o - 55. Let u be r(-11). What is the remainder when 25/(-2)*u/55 is divided by 11? 9 Suppose 8*i - 330 - 132 = 682. Calculate the remainder when 425 is divided by i. 139 Let s = -745 + -234. What is the remainder when 117 is divided by (-8)/10 + s/(-55)? 15 Calculate the remainder when (15/(-2)*(-35 + 37))/((-1)/118) is divided by 221. 2 Let l be (-4)/(-2) - (86 - -1 - -8). Let x = l - -124. What is the remainder when 84 is divided by x? 22 Let u(h) = -h**3 - 4*h**2 - 4*h - 6. Suppose -5*f + 2*b + 14 = 0, f - 5*b + 16 = 28. What is the remainder when u(-4) is divided by f? 0 Let f(r) = -r + 7. Suppose 5*b = -3*o + 13, -b + 1 = -2*o - 12. Let v be -3 - (o - -1 - -4). Calculate the remainder when 64 is divided by f(v). 9 Suppose -312 = -4*i - z, -z + 384 = 10*i - 396. What is the remainder when i is divided by 43? 35 Let x = -521 - -327. Let n = -155 - x. What is the remainder when 153 is divided by n? 36 Let u = -685 - -760. Calculate the remainder when u is divided by 31. 13 Let h(x) = -3*x**3 - x**2 - 1. Suppose -110*c + 118*c - 6520 = 0. Suppose -19*t + c = -211. Calculate the remainder when t is divided by h(-2). 16 Let t(v) be the first derivative of 7*v**4 - v**2/2 + v - 14. What is the remainder when 6576/80 + (-1)/5 is divided by t(1)? 26 Let h(q) = 13*q**3 - q
{ "pile_set_name": "DM Mathematics" }
x(c(a)). -4*a Let t(w) = 94*w. Let u(l) be the second derivative of 1/3*l**3 + 83*l + 0 + 0*l**2. Calculate u(t(j)). 188*j Let z(d) be the first derivative of -d**2/2 - 52. Let f(o) be the first derivative of -2*o**2 - o**2 - 88 + 87. What is z(f(u))? 6*u Suppose -4*p = 5*p - 135. Let x(a) = -32*a + 10*a + 9*a + p*a. Let t(c) = -c**2 - 90*c. What is x(t(z))? -2*z**2 - 180*z Let y(f) be the third derivative of 7*f**5/60 - 2*f**3 - 7*f**2 - 7*f. Let i(z) = z - 2. Let l(p) = -4*p + 7. Let g(m) = -7*i(m) - 2*l(m). Calculate y(g(o)). 7*o**2 - 12 Let n(c) = 3479*c**2 + 41*c. Let q(j) = -3*j. Give q(n(k)). -10437*k**2 - 123*k Let v(z) = 36*z**2. Let r(q) = -194751*q + 1. What is r(v(u))? -7011036*u**2 + 1 Suppose -5*v - 5*x + 20 = 0, 2*x = 5*x - 6. Suppose -5*n - 2*h = -v, 0*h = 2*h + 8. Let l(u) = 2*u - n*u - u. Let d(j) = 11*j**2. Determine l(d(g)). -11*g**2 Let b(j) = -2*j. Let k(f) = -309125238*f. Calculate k(b(i)). 618250476*i Let c(z) = 3*z. Suppose 21 = 2*j + 5*i, -5*j - i = -12 - 6. Suppose -2*a + 2*g - 1 = a, -a + 2*g = j. Let v(l) = -1 - 2*l + a. Give v(c(y)). -6*y Let w(d) be the second derivative of -d**4/6 - 6*d + 35. Let u(b) = -3*b**2 - 1. Let l(k) = 3*u(k) - 4*w(k). Let q(o) = o. Determine q(l(s)). -s**2 - 3 Let o(s) = -2*s. Let j(b) be the third derivative of 0*b**3 - 8*b**2 + 2*b - 43/30*b**5 + 0*b**4 + 0. Give j(o(n)). -344*n**2 Let l(h) = -3*h. Suppose -2*o = -3 - 5. Suppose 43 = 2*b - 5*j - 0*j, o*j + 4 = 0. Let i(v) = b - 45 + 26 - 4*v. Determine i(l(y)). 12*y Let x(r) = 523*r + 7. Let a(u) = -2*u**2 - 105*u. Determine x(a(k)). -1046*k**2 - 54915*k + 7 Let a(u) = -6*u. Let v(w) = -11*w**2 - 253*w - 7. Let z(o) = -5*o**2 - 128*o - 3. Let q(f) = -3*v(f) + 7*z(f). What is a(q(m))? 12*m**2 + 822*m Let a(n) = -10*n + 6*n + 1 - 1. Let p(j) = 2*j - 725*j**2 + 360*j**2 - 36*j + 363*j**2. Determine p(a(w)). -32*w**2 + 136*w Let f(l) be the first derivative of 2*l**3/3 - 746. Let b(h) = -15*h - 19. Calculate b(f(r)). -30*r**2 - 19 Let u(p) = 89*p. Let v(j) = -576993*j - 3. Give u(v(o)). -51352377*o - 267 Let d(q) = 15*q**2 - 79*q**2 + 18*q**2 + 21*q**2 + 20*q**2. Let x(u) = -11*u**2 + 4. Let j(k) = 330*k**2 - 121. Let t(b) = -4*j(b) - 121*x(b). What is d(t(o))? -605*o**4 Let y(c) = -2228*c. Let t(d) be the second derivative of 2*d**3/3 - 3830*d + 2. Calculate t(y(w)). -8912*w Let z(x) = 238700*x**2. Let g(c) = -3*c**2 + 144. Give g(z(l)). -170933070000*l**4 + 144 Let d(z) be the second derivative of 28*z**4/3 - 8870*z. Let u(p) = -10*p**2 + 3. Calculate d(u(w)). 11200*w**4 - 6720*w**2 + 1008 Let k(i) = -209756 + 57*i + 209756 - 18*i + 19*i. Let r(n) = -n. Calculate k(r(w)). -58*w Let z(d) = -4*d + 3*d - 3*d + 2*d. Let q(n) be the second derivative of 0*n**2 + 0*n**3 - 2 + 7*n + 53/12*n**4. Determine q(z(j)). 212*j**2 Let w(t) = -7418945*t**2. Let v(m) = -44*m**2. Determine v(w(x)). -2421792776173100*x**4 Let g(b) = 594*b**2 + 2. Let t(n) be the third derivative of -n**4/12 - 2*n**2 + 7*n + 13. Give t(g(s)). -1188*s**2 - 4 Let x(y) = -3*y**2. Suppose 29*z + 0*z = 58. Let b(q) = -3 + z + 3 + 41*q**2 - 10*q**2. Calculate b(x(n)). 279*n**4 + 2 Let a(s) = 5*s. Let j(d) be the first derivative of d**4/3 - 33*d - 34. Let n(t) be the first derivative of j(t). What is n(a(k))? 100*k**2 Let b(g) = 6*g - 9. Let i be (1/3)/((-15)/90). Let t(n) = -1. Let x(o) = i*b(o) + 18*t(o). Let l(h) = 6*h. Give l(x(v)). -72*v Let o(r) = 3*r**2 + 4*r + 4. Suppose 0 = 58*p - 61*p + 12. Let h(g) = -3*g**2 - 3*g - 3. Let u(k) = p*h(k) + 3*o(k). Let l(s) = 39*s**2. Determine l(u(q)). 351*q**4 Let r(q) = -15*q**2 + 18*q - 132. Let l(a) = 21*a**2 - 22*a + 165. Let b(y) = -9*l(y) - 11*r(y). Let x(m) = -6*m. Give b(x(u)). -864*u**2 - 33 Let f(k) = 114*k**2. Suppose -5*b - 3*q + 94258 = 0, -b + 14*q + 18846 = 9*q. Let h(j) = -3*j - 18851 + b. Determine f(h(z)). 1026*z**2 Let f(q) be the third derivative of -5*q**4/24 + 213*q**2 - 7*q. Let a(m) be the first derivative of -m**3 + 2. Determine a(f(s)). -75*s**2 Let i(z) = -13*z - 1. Let x(j) = 2820*j - 5. Let b(f) = -5*i(f) + x(f). Let q(g) = g. What is b(q(y))? 2885*y Let x(z) be the second derivative of 43*z**3/6 - 7230*z. Let p(l) = -272*l**2. What is x(p(n))? -11696*n**2 Let d(w) = 75*w. Let f(z) = 167658*z**2. Determine f(d(a)). 943076250*a**2 Let u(b) = 2*b**2. Let v be ((-155)/(-25) - 7)*-2165. Let y(g) = 2*g**2 - 1732*g + v*g - 148. What is u(y(j))? 8*j**4 - 1184*j**2 + 43808 Let n(l) = l**2. Let f(w) = -692511*w**2 + 6*w + 3. Give f(n(k)). -692511*k**4 + 6*k**2 + 3 Let u(y) be the first derivative of y**2/2 - 1. Let j(q) = -53*q**2 + 85*q**2 - 19*q**2 - 14*q**2. Determine u(j(n)). -n**2 Let k(j) be the second derivative of -7*j**3/6 - 3*j**2 - 2238*j. Let g(o) = 2*o. What is k(g(u))? -14*u - 6 Let w(f) = 68*f + 25. Let o(t) = -98*t - 35. Let r(y) = -5*o(y) - 7*w(y). Let i(m) = -19*m**2. Calculate r(i(k)). -266*k**2 Let n(p) = -35231497*p. Let v(l) = 2*l**2. Calculate v(n(x)). 2482516761722018*x**2 Let g(a) be the third derivative of a**4/6 + 26*a**2. Let s(p) = -14*p**2 + 9*p - 9. Let w(k) = k**2 - k + 1. Let c(u) = 4*s(u) + 36*w(u). Calculate c(g(l)). -320*l**2 Suppose -9*m + 93 = -6. Let i(p) = 168 - 81 - 87 + m*p. Let x(f) = f. What is x(i(u))? 11*u Let j(w) = 5*w - 11. Let u be 747/(-166)*(-2)/(-3) + -1. Let o(x) = -x + 2. Suppose -3*f = 2*f + 110. Let l(a) = f*o(a) + u*j(a). Let y(p) = 43*p. Give y(l(v)). 86*v Let b(q) be the first derivative of -20*q**3/3 + 22*q - 12021. Let m(u) = -3*u. What is m(b(x))? 60*x**2 - 66 Let o(b) = 1442065*b. Let u(t) = t. What is u(o(d))? 1442065*d Let o(l) = 381*l + 1. Let z(g) = -g**2 - 10*g. Calculate o(z(b)). -381*b**2 - 3810*b + 1 Let s(y) be the first derivative of -401*y**3/6 - 174*y - 273. Let j(d) be the first derivative of s(d). Let c(b) = -2*b**2. Determine j(c(p)). 802*p**2 Let g(s) = 290*s - 21. Let d(b) = -1443*b + 112. Let z(k) = -3*d(k) - 16*g(k). Let p(j) = -22*j. Determine p(z(a)). 6842*a Let q(s) be the second derivative of s**3/2 + 2611*s. Let u(y) = 323*y. What is q(u(n))? 969*n Let w(k) = k. Suppose -4*f - 53 = -3*r, 0 = 4*r - 6*f + f - 70. Let s = 261 + -243. Let b(c) = -s - r*c + 18. Calculate w(b(v)). -15*v Let d(q) = -4048*q + 2025*q + 2016*q. Let o(n) = -3*n + 82. Calculate o(d(z)). 21*z + 82 Let w(i) = 4*i**2 - 8*i. Let o(a) = 5*a**2 - 12*a. Let k(g) = 4*o(g) - 6*w(g). Let y(t) = -627*t. Give k(y(z)). -1572516*z**2 Let m(x) = -1640177*x**2. Let s(o) = 22*o. What is s(m(h))? -36083894*h**2 Let f(g) = -5*g**2. Suppose -10*z - 45 = -19*z. Let m(v) = -289*v**2. Let q(j) = -12*j**2. Let w(d) = z*m(d) - 119*q(d). Calculate w(f(i)). -425*i**4 Let n be 7 + -7 + (1 - 3) + 19. Let y(b) = -b + 17. Let q be y(n). Let l(j) = 194 - 194 + q*j**2 + 2*j**2. Let d(c) = c**2. What is l(d(s))? 2*s**4 Let g(p) = -3070*p. Let o(z) = -61*z - 9. Let y(a) = -81*a - 12. Let q(c) = -4*o(c) + 3*y(c). Determine q(g(u)). -3070*u Let d(t) = 88*t. Let r(q) = -2622*q**2 - 4*q + 2. Calculate d(r(c)). -230736*c**2 - 352*c + 176 Let n(c) = 5*c**2 - 159410. Let h(a) = 3*a. Determine h(n(v)). 15*v**2 - 478230 Let o(z) = z. Let x(w) = -232*w**2 - 2*w - 225*w**2 + 22*w**2 + 0*w + 110*w**2. What is x(o(g))? -325*g**2 - 2*g Let w(n) be the third derivative of 3/20*n**5 + 0*n**4 - n - 124*n**2 + 0 + 11/6*n**3. Let f(g) = -g. What is f(w(l))? -9*l**2 - 11 Let g(y) be the first derivative of -19/2*y**2 + 145 + 0*y. Let d(a) = -a**2. Give g(d(f)). 19*f**2 Suppose -82 = -9*w + 8*w. Let v(z) = -35 + w + 3*z**2 - 44. Let b(l) = -10*l. Calculate v(b(d)). 300*d**2 + 3 Let h(v) = 711*v - 2. Let q(j) = -3910*j + 11. Let s(f) = -22*h(f) - 4*q(f). Let w(x) = 3*x**2 + 0*x**2 + 3*x - 13*x**2. Determine s(w(a)). 20*a**2 - 6*a Let h(l) = -5*l. Let m(g) = -3*g. Let j(x) = -5*h(x) + 8*m(x). Let s(k) = 55*k - 8. Give j(s(y)). 55*y - 8 Let u(q) = 2*q**3 + 15*q**2 + 3*q - 17. Let p be u(-7). Let h(g) = p*g**2 + 2924 - 2924. Let w(i) = -12*i**2. What is h(w(t))? 1584*t**4 Let i(m) = 11*m**2 + 59*m - 72. Let r(f) = -163*f. Calculate r(i(c)). -1793*c**2 - 9617*c + 11736 Let y(n) = 46*n**2. Let t(f) be the first derivative of -f**2/2 + 22. Let k(r) = -r. Let u(g) = 5*k(g) - 4*t(g). Determine u(y(h)). -46*h**2 Suppose -32 + 6 = -4*s - 5*u, 4*s + 3*u = 22. Let d be 1/(-2) + s + 9/(-6). Let x(a) = a + 5*a - a - d*a. L
{ "pile_set_name": "DM Mathematics" }
(b - 3)*(5*b - 1)**2/3 Factor -6*w**3 - 9*w**3 + 14*w**3. -w**3 Let v be (-28)/(-21)*(-2)/(-8). Let -2/3*j**2 - v*j + 1/3 = 0. Calculate j. -1, 1/2 Let p = 104/209 - 6/19. Factor -2/11*v**3 + p*v - 2/11*v**2 + 2/11. -2*(v - 1)*(v + 1)**2/11 Let k(w) be the second derivative of 0 - 4/27*w**3 + 1/3*w**2 - 7*w + 1/54*w**4. Let k(y) = 0. What is y? 1, 3 Factor -1/5*p**3 - 7/5 + 13/5*p - p**2. -(p - 1)**2*(p + 7)/5 Let c = 180 + -175. Let y(x) be the second derivative of -1/6*x**2 + 0 - 1/6*x**3 - 3*x - 1/12*x**4 - 1/60*x**c. Suppose y(q) = 0. What is q? -1 Let a be -3 + -1 - ((-19)/5 - 1). Suppose 1/5*h**3 + 0 - a*h**2 + 3/5*h = 0. Calculate h. 0, 1, 3 Let b(n) be the second derivative of n**5/30 + n**4/9 + 7*n. Find d such that b(d) = 0. -2, 0 Factor 2/11*p**4 + 0 + 6/11*p + 2/11*p**3 - 10/11*p**2. 2*p*(p - 1)**2*(p + 3)/11 Let p(q) be the third derivative of -3*q**2 + 0 + 0*q + 1/30*q**5 - 1/4*q**4 + 2/3*q**3. Solve p(b) = 0 for b. 1, 2 Let f = -12 + 17. Let x be ((-2)/20)/(f/(-60)). What is n in -4/5*n**3 - 2/5 + 6/5*n**4 - 2/5*n**5 - 4/5*n**2 + x*n = 0? -1, 1 Let q(d) be the first derivative of -4 + 2*d + 1/4*d**4 - 1/2*d**3 - d**2 + 1/10*d**5. Factor q(x). (x - 1)**2*(x + 2)**2/2 Let c(p) be the second derivative of -1/10*p**5 + 0*p**3 + 0 + 0*p**2 + 5*p + 1/6*p**4. Factor c(j). -2*j**2*(j - 1) Let m(p) = p**2 + 18*p - 36. Let h be m(-20). Let v(u) be the first derivative of 1/9*u**2 + 2 - 2/45*u**5 + 0*u - 2/9*u**3 + 1/6*u**h. Factor v(f). -2*f*(f - 1)**3/9 Suppose -3*v + 8 = -2*z, z - 6 = -3*v - 1. Let h(i) be the first derivative of -1/3*i**6 - 2*i + i**4 - v + 4/3*i**3 - i**2 - 2/5*i**5. Factor h(g). -2*(g - 1)**2*(g + 1)**3 Factor 0 - 5*g - 1/2*g**2. -g*(g + 10)/2 Let m = -37 + 40. Let g be m/(-6)*(-72)/16. What is d in -g*d**2 - 5*d - 1 = 0? -2, -2/9 Let b(k) = k**2 - 10*k + 18. Let c be b(8). Factor -1/3*j**c + 1/3*j + 0. -j*(j - 1)/3 Let k(n) be the first derivative of -1/12*n**4 + 3 - 2/3*n + 2/9*n**3 + 1/6*n**2. Factor k(h). -(h - 2)*(h - 1)*(h + 1)/3 Let t = 8 + -6. Suppose -4*q = -4*u - 24, 5*u + 28 = 4*q - 0*q. What is z in 1 + 2*z**q - 3*z**t + 0 = 0? -1, 1 Let v(r) be the second derivative of r**4/36 - 2*r**3/9 + 2*r**2/3 - 3*r. Factor v(l). (l - 2)**2/3 Suppose -7/2*i**4 + 0*i - 2*i**2 + 0 + 8*i**3 = 0. Calculate i. 0, 2/7, 2 Factor -5/2*v - 1/2*v**4 + 1/2*v**3 + 3/2*v**2 + 1. -(v - 1)**3*(v + 2)/2 Let u(r) be the second derivative of 11*r**5/4 - 5*r**4/6 + 7*r. Let u(m) = 0. Calculate m. 0, 2/11 Let f = 13 + -18. Let l be (f - -6) + 3/1. Find t such that 0*t**2 + 0 + 16/3*t**l + 4*t**3 - 2/3*t + 2*t**5 = 0. -1, 0, 1/3 Let f(a) be the third derivative of -a**6/240 + a**5/60 - a**4/48 - 3*a**2. What is y in f(y) = 0? 0, 1 Let f(a) = -a**2 - 1. Let o(i) be the first derivative of -1/2*i**2 + 5/3*i**3 - 1 + 2*i. Let w(j) = -4*f(j) - o(j). Factor w(l). -(l - 2)*(l + 1) Suppose -3 = -t - 1. Find s such that -2*s - 3*s**2 - 2*s**3 - 2*s**t + 4*s**3 - 3*s**2 + 8*s**4 = 0. -1, -1/4, 0, 1 Let l(s) be the first derivative of -1/3*s**2 + 2/9*s**3 + 0*s - 4. Let l(o) = 0. What is o? 0, 1 Let r(n) be the third derivative of n**6/600 + n**5/100 - 3*n**4/40 + 7*n**3/6 - 5*n**2. Let l(h) be the first derivative of r(h). Determine i so that l(i) = 0. -3, 1 Let v(a) = a**2 - 8*a + 18. Let o be v(4). Factor 0*j - 2/11 + 2/11*j**o. 2*(j - 1)*(j + 1)/11 Let f(n) be the second derivative of 2*n**6/5 + 7*n**5/5 - 19*n**4/3 + 10*n**3/3 + 8*n**2 - 12*n - 1. Factor f(p). 4*(p - 1)**2*(p + 4)*(3*p + 1) Let h(s) = 7*s**3 - 15*s**2 + 19*s - 1. Let l(n) = -4*n**3 + 8*n**2 - 10*n. Let b(j) = -3*h(j) - 5*l(j). Let b(f) = 0. What is f? 1, 3 Let v(n) be the third derivative of 3*n**2 - 1/21*n**3 + 0 - 1/42*n**4 - 1/210*n**5 + 0*n. Factor v(c). -2*(c + 1)**2/7 Let k(u) be the first derivative of -5/14*u**4 - 9 + 2/35*u**5 + 6/7*u**3 - u**2 + 4/7*u. Suppose k(a) = 0. What is a? 1, 2 Solve -18/5*r**2 - 2/5*r + 0 = 0 for r. -1/9, 0 Let k(p) = p**3 + 4*p**2 + 5*p + 8. Let j be k(-3). Let g(x) be the second derivative of x + 5/24*x**3 - 1/12*x**4 + 0 + 1/80*x**5 - 1/4*x**j. Factor g(w). (w - 2)*(w - 1)**2/4 Let w(x) be the second derivative of x**7/336 - x**6/80 + x**4/24 + 15*x. Factor w(b). b**2*(b - 2)**2*(b + 1)/8 Suppose 2*i + 10 = -5*l - 3*i, 0 = -l + 3*i + 18. Suppose 0 = -s + l*s - 4. Factor 0 - 4/9*j**s + 2/9*j**3 + 2/9*j. 2*j*(j - 1)**2/9 Let q(z) be the third derivative of -2*z**7/105 - z**6/15 + z**5/5 + 2*z**4/3 - 8*z**3/3 - 13*z**2. Factor q(j). -4*(j - 1)**2*(j + 2)**2 Let c(z) be the first derivative of -2/15*z**3 + 1 + 0*z + 0*z**2. Factor c(l). -2*l**2/5 Let c = -9 + 12. Let y(s) be the first derivative of 1/2*s**2 + 2 + 0*s - 1/6*s**c. Factor y(g). -g*(g - 2)/2 Let z(i) be the second derivative of i**7/84 - i**6/30 + i**4/12 - i**3/12 - 8*i. Factor z(h). h*(h - 1)**3*(h + 1)/2 Let n(l) be the second derivative of -7*l**4/96 - 23*l**3/48 - 3*l**2/8 + 40*l. What is x in n(x) = 0? -3, -2/7 What is m in 0*m + 1/3*m**4 + 0*m**3 + 0 - 1/3*m**2 = 0? -1, 0, 1 Factor -30/7*g**2 - 4/21 + 82/21*g**3 - 26/21*g**4 + 38/21*g. -2*(g - 1)**3*(13*g - 2)/21 Let g(h) = -2*h - 95. Let d be g(-49). Factor -4*i**2 + 0 + 13/3*i**d + 1/3*i**5 - 2*i**4 + 4/3*i. i*(i - 2)**2*(i - 1)**2/3 Let k be (1 - 2 - 2) + 5. Let q be (-9)/(-24) + 5/40. Determine h so that q*h**k + 1/2*h - 1 = 0. -2, 1 Suppose 15/4*j - 15/4*j**3 + 3/2*j**4 - 3/2 + 0*j**2 = 0. What is j? -1, 1/2, 1, 2 Factor 7*m**2 - 207*m - 6*m**4 + 40*m**3 - 24*m**2 - 15*m**4 + 205*m. -m*(m - 1)**2*(21*m + 2) Let z(y) be the first derivative of -y**5/20 - y**4/16 + y**3/6 + 6. Factor z(q). -q**2*(q - 1)*(q + 2)/4 Let a(j) = 5*j**4 - 53*j**3 + 242*j**2 - 194*j - 2. Let c(d) = 16*d**4 - 160*d**3 + 727*d**2 - 583*d - 7. Let x(q) = -7*a(q) + 2*c(q). Factor x(m). -3*m*(m - 8)**2*(m - 1) Let h(i) be the second derivative of -1/6*i**2 + 0 + 2*i + 1/9*i**3 - 1/36*i**4. Factor h(v). -(v - 1)**2/3 Let z(s) be the second derivative of -s**7/2940 + s**6/1260 - s**3 + 6*s. Let p(h) be the second derivative of z(h). Factor p(x). -2*x**2*(x - 1)/7 Let x(s) be the second derivative of s**5/70 + s**4/6 - 56*s. Factor x(p). 2*p**2*(p + 7)/7 Let t(a) be the third derivative of a**8/3360 + a**7/1260 + a**4/12 + 5*a**2. Let s(y) be the second derivative of t(y). Solve s(w) = 0. -1, 0 Let p be (-21)/54 + 3/(-18). Let f = p + 29/36. Suppose -3/4*u**3 + 3/4*u - 1/4*u**2 + f = 0. What is u? -1, -1/3, 1 Find w such that 0*w + 1/3*w**2 - 1/3 = 0. -1, 1 Let k(n) be the second derivative of n**6/75 - n**5/10 + 7*n**4/30 - n**3/5 - 20*n. Solve k(b) = 0 for b. 0, 1, 3 Factor -4/3*i**4 + 0 - 28/3*i**2 - 4*i - 20/3*i**3. -4*i*(i + 1)**2*(i + 3)/3 Let m = 1405/4 + -351. Find y, given that -1/4 + m*y + 1/4*y**2 - 1/4*y**3 = 0. -1, 1 Let j(i) be the third derivative of i**7/630 + i**6/360 - i**5/20 - i**4/8 - 3*i**2 - i. Factor j(h). h*(h - 3)*(h + 1)*(h + 3)/3 Let y(i) be the third derivative of i**5/450 + i**4/45 + 4*i**3/45 - 14*i**2. Determine q, given that y(q) = 0. -2 Let h(v) be the third derivative of v**7/1260 + 7*v**6/1800 + v**5/150 + 5*v**4/24 + 3*v**2. Let b(f) be the second derivative of h(f). Factor b(w). 2*(w + 1)*(5*w + 2)/5 Let l(p) be the first derivative of 5*p**3/9 + 5*p**2/2 + 10*p/3 + 13. Suppose l(n) = 0. Calculate n. -2, -1 Let 0*u**3 + 0*u + 0 + 0*u**2 - 3*u**4 - 15/2*u**5 = 0. Calculate u. -2/5, 0 Let c be 24/(-42) + 107/(-21). Let t = c + 6. Suppose -1/3*z**4 - 1/3 + 1/3*z**5 - 2/3*z**3 + 2/3*z**2 + t*z = 0. What is z? -1, 1 Let q(j) be the third derivative of -1/60*j**4 - 1/300*j**5 + 0*j + 0 - j**2 + 0*j**3. Factor q(b). -b*(b + 2)/5 Let t = -16 - 56. Let b be (-2)/7 - t/105. Determine w so that -2/5*w**4 + 4/5*w**2 - b - 2/5*w**5 - 2/5*w + 4/5*w**3 = 0. -1, 1 Let z(a) be the third derivative of -a**5/140 - a**4/28 + 3*a**3/14 - 54*a**2. Solve z(o) = 0. -3, 1 Solve 0 - 6*q**2 + q**3 + 0 + 9*q**2 + 2*q = 0 for q. -2, -1, 0 Let f = 1723638 - 201668228/117. Let w = 200/9 + f. Factor 2/13*h + 0 + 6/13*h**3 - w*h**4 - 6/13*h**2. -2*h*(h - 1)**3/13 Factor 6*h**2 + 583 - 585 - 4*h**2. 2*(h - 1)*(h + 1) Let h be (15/(-10))/(3/(-6)). Determine u so that -8/5*u**4 + 14/5*u**h - 4/5*u**2 + 0 - 2/5*u = 0. -1/4, 0, 1 Let z = -8 - -18. Let k be 12/(-20)*z/(-4). Factor -k*c**2 + 3/2*c**4 + 3/2*c + 0 - 3/2*c**3. 3*c*(c - 1)**2*(c + 1)
{ "pile_set_name": "DM Mathematics" }
hat is the hundreds digit of d? 3 Suppose 5*a - 1 = 4. Let g(p) = -1. Let l(w) = -3*w + 4. Let x(n) = a*l(n) - 4*g(n). What is the tens digit of x(-6)? 2 Suppose 7*z - 11*z + 292 = 0. Let h(s) = -z*s + 73*s + 3*s**2. What is the units digit of h(2)? 2 Let w(a) = a**3 - 9*a**2 + 48*a - 37. What is the tens digit of w(11)? 3 Let b(i) = 10*i**2 + 10*i + 31. What is the tens digit of b(-7)? 5 Let n = -68 - -126. Suppose w = 2*w - n. What is the units digit of w? 8 Let g(s) = -47*s - 9 + 1 - 2. Let b be g(-7). Suppose -129 = -2*n - x, x = -5*n + 2*x + b. What is the units digit of n? 4 Suppose 446 + 398 = 2*v. Suppose -5*l + 344 = -l - 4*b, 5*l - b - v = 0. Suppose -21 = -5*m + l. What is the units digit of m? 1 Suppose 106*x = 109*x - 9. Suppose 111 + 366 = 3*n + 3*f, 5*n + x*f - 797 = 0. What is the units digit of n? 0 Let q = -1794 + 5074. What is the hundreds digit of q? 2 Let i(a) = -3*a**3 - 4*a**2 - 3. Let x be (-56)/(-10) + 16/40. Suppose -y = w + x + 1, 5*w = -20. What is the units digit of i(y)? 2 Let t(k) = k**2 - 2*k - 39. Let q be t(-5). What is the hundreds digit of 190 - (-1)/(-5 - q)? 1 Let x(m) = m**2 + 10*m. Let j(t) = t. Suppose 0*k = -3*k + 6. Let z(a) = k*j(a) - x(a). What is the units digit of z(-6)? 2 Let s(g) = -28*g - 20. Let v(b) be the first derivative of -b**2/2 - b - 7. Let p(m) = s(m) - 20*v(m). What is the units digit of p(-3)? 4 Suppose 128 = 4*g + 1132. Let t = -393 - g. Let q = -84 - t. What is the tens digit of q? 5 Suppose 0 = 3*z - z - 2. Let j be (z/(-3))/((-3)/(-18)). What is the tens digit of 16*(-1 - (j - 0))? 1 Suppose 6*h = 10*h + 24. Let u(t) = 3*t**2 - t - 17. What is the units digit of u(h)? 7 Let u be 1/2 - 15/2. Let d(p) be the third derivative of -p**5/60 - 3*p**4/8 - p**3/3 + 29*p**2 + 2*p. What is the units digit of d(u)? 2 Let g(k) = 1940*k**2 - 48*k - 50. What is the units digit of g(-1)? 8 Suppose -u + 0*u = u. Suppose i - 2*i + 1 = u. What is the units digit of i? 1 Let p be 15/6*(-44)/(-5). Let c = p - -13. Suppose l = -3 + c. What is the tens digit of l? 3 Let c = 0 - -4. Let f = 98 + 27. Suppose -c*y - 37 = -f. What is the tens digit of y? 2 Suppose -7 = -4*n - 3*s, n + 2*s = -2*n + 6. Suppose 4*f + 0*y - 102 = 2*y, 2*f - 54 = n*y. What is the tens digit of f? 2 Suppose 0 = v + 3*v - 20. Suppose -2*d = b - 97, v*d = -5*b + 629 - 159. What is the units digit of b? 1 Let a = -7 + 15. Suppose 0 = -6*q + a*q. Suppose -2*r + 14 = -q*r. What is the units digit of r? 7 Let b be ((-6)/9)/((-6)/(-27)). Let o be 2/b*(-27)/(-9). What is the tens digit of (o/(-3))/(2/69)? 2 Suppose -2*k + 2 = 5*m, 3*m - 2*m - 5 = -5*k. Suppose 134 + k = r. What is the hundreds digit of r? 1 Let r(q) = 2*q + 12. Let u be r(-5). Suppose u*t - 30 = -4. What is the tens digit of t? 1 Let y = 20 - 38. Let v = -27 + 52. Let g = v + y. What is the units digit of g? 7 What is the hundreds digit of 2*(-2776)/(0 + -4)? 3 What is the units digit of 165/6*1040/50? 2 Let r(x) = x**2 + 2*x - 2. Let o be r(-3). Let a be (8/(-2))/(o - 2). What is the units digit of 5/20 + 23/a? 6 Let z = 58 - 103. What is the tens digit of z/(-20)*(192/(-9))/(-2)? 2 Let u be 4/2 + (2 - (5 - 4)). Suppose 5*f - 308 = -4*j, 0*f = u*f - 12. What is the units digit of j? 2 Let h be (-4)/20 + 41/5. Let n = -1 + h. Suppose -n*p + p + 48 = 0. What is the units digit of p? 8 Let b = -6169 - -11096. What is the units digit of b? 7 Suppose 7*f - 5 = 12*f. Let w = -2 + -6. Let d = f - w. What is the units digit of d? 7 Suppose -1771 = -5*k - 31. What is the hundreds digit of k? 3 Let g(j) = 7*j**2 - j**2 - 3*j**2 - 5*j**2 - 7*j. Let x be g(-4). Let y(v) = -2*v**3 - 5*v**2 + v - 5. What is the tens digit of y(x)? 3 Suppose 3*y = 53*y - 11450. What is the tens digit of y? 2 Let l(i) = -i**2 + 7. Let u = -10 + 17. Let s be l(u). Let n = -23 - s. What is the tens digit of n? 1 Let a(r) = 780*r + 3. What is the units digit of a(1)? 3 Let d(s) = 932*s**2 - 17*s - 17. What is the units digit of d(-1)? 2 What is the units digit of 13/(7*1/112)? 8 Suppose 3*u + 2*u = -2*k + 23, u + 1 = k. Let l be (-6)/k*(-28)/(-21). What is the tens digit of (l - 88)*1/(-2)? 4 Let b(l) = -l + 19. Let c be b(-17). Suppose 0*p = -3*p + c. What is the units digit of p? 2 Let h = 1220 + -61. What is the tens digit of h? 5 Let h(w) = 2*w**3 + 11*w**2 - 4*w - 17. Let m be h(-8). What is the tens digit of m/(-5) - -1 - 2? 6 Let n = -51 - -101. Suppose 3*j + 0*j = -5*b + 71, -2*j = 4*b - n. What is the tens digit of j? 1 Suppose -2*p - 2100 = 2*p. Suppose -272*h + 20 = -268*h. What is the units digit of (h/3)/((-25)/p)? 5 Suppose 0 = -4*f + 19 - 3. Suppose -2*u + 257 = 3*x, f*x + 2*u + 124 - 470 = 0. What is the tens digit of x? 8 Let v(o) = 2*o - o**3 + 16*o**2 - 3*o - 4*o - 21*o**2. What is the units digit of v(-5)? 5 Let m(t) = -t**3 + 4*t**2 - 3*t - 7. Let q be m(7). What is the tens digit of (-3)/(-2 + q/(-95))? 1 Let i(y) = -7*y - 15. Let z be i(-7). Let a = 45 + z. What is the tens digit of a? 7 Let z = -3 + 11. Let j(m) = 2*m - 8. What is the units digit of j(z)? 8 Let g be (-1)/(2/(19 - 3)). Let k be 652/18 - g/(-36). Suppose k - 5 = b. What is the tens digit of b? 3 Let p(z) = -94*z - 15. What is the tens digit of p(-4)? 6 Suppose a - 448 = -m, 5*a + 413 = 2*m - 469. What is the hundreds digit of m? 4 Let u be (45/6)/((-3)/(-20)). Let w be -2 + (3 + 0 - -3). Suppose -w*c - c + u = 0. What is the tens digit of c? 1 Suppose 0 = -6*y + 410 + 8776. What is the hundreds digit of y? 5 Let o be (-1 + 1)/(1 + 1). Suppose o = -5*l - 4*d - d, -4*l - d = -15. Suppose w = l*u - 84, -11 = -u + 3*w + 3. What is the tens digit of u? 1 Let i(j) be the second derivative of j**5/20 - 2*j**4/3 + 11*j**3/6 - 9*j**2/2 + 4*j. What is the tens digit of i(8)? 7 Let c(z) = 3*z**2 + z - 2. Let m be c(3). Suppose 0*a = -3*a - 45. Let x = m + a. What is the tens digit of x? 1 What is the tens digit of (46 - 10)*20/6? 2 Let k(j) be the third derivative of j**4/12 + 91*j**3/6 + 29*j**2. What is the tens digit of k(0)? 9 Let l(j) = -3*j + 1. Let k(u) be the third derivative of u**6/120 - u**5/60 - u**4/8 - u**3/6 - 3*u**2. Let m be k(-2). What is the tens digit of l(m)? 2 Let v be 3/(-6)*-4*(-11)/(-2). Suppose -1315 = -v*a + 6*a. What is the units digit of a? 3 Suppose -2*s + 107 = -5*q + 1648, -3*q + 933 = -4*s. What is the hundreds digit of q? 3 Suppose 28*h - 118955 = -9*h. What is the tens digit of h? 1 Let w(u) = u**2 - 13. Let f be w(4). Suppose 0 = f*y + 2*y - 15. What is the units digit of 1 - 1 - y - -26? 3 Let k(i) = -27*i + 0 + 3 + 30*i. What is the tens digit of k(10)? 3 Suppose -3*x = -4*w - 0*w, 20 = 5*x. Suppose w + 99 = 3*g. Let k = 12 + g. What is the tens digit of k? 4 Let l(a) = -a + 10. Let h(d) = d**2 - 11*d + 8. Let s be h(11). Let z be l(s). Suppose -z*c + 3 = c. What is the units digit of c? 1 Let r(g) = g**3 - 20*g**2 - 52*g - 11. What is the units digit of r(23)? 0 Let n be 41/4 - 1/4. What is the units digit of 70/(-2*(-5)/n)? 0 Suppose 0 = 3*p - 6 - 9. Suppose 0 = d - 0*z - 3*z + p, 0 = 4*z. What is the units digit of 2 - 4 - d - -22? 5 Suppose -2*m - 2*g = -14, -2*m + g - 14 = -4*g. Suppose u = 2*f + 147, -f + 220 + 256 = m*u. What is the tens digit of u? 5 Let q = 155 + -87. Suppose -2*g - q = -3*g. What is the units digit of g? 8 Let q be (4 + -7 + 6)*1. Suppose u = q*u. Suppose u*v = -4*v + 208. What is the units digit of v? 2 Suppose -3*u + 184 = 6*a - a, 3*u - 9 = 0. Suppose -168 = -o - a. What is the hundreds digit of o? 1 Let f(q) = 21*q**3 - 2*q**2 - 3*q + 2. Let k be f(2). Suppose -2*l - l = -k. What is the tens digit of l? 5 Suppose -5*x + 5 = -5. Suppose 2*b = 3*s + 17, -x*b + 6 = -2*s - 2. Let o = -3 - s. What is the units digit of o? 6 Let s(g) = -10*g - 5. What is the tens digit of s(-9)? 8 Suppose 0 = 2*a + 3*j - 21 + 60, 0 = a - 2*j + 30. Let l = a - -75. What is the units digit of l? 1 What is the units digit of (78/(-195))/(1*(-1)/5380)? 2 Suppose -5*i + y = -210, -3*y - 210 = 3*i - 8*i. What is the units digit of i? 2 Let p be (48/(-28))/((-2)/21). Let s be p - (-2 - (2 - 0)). What is the tens digit of ((-2)/4)/(s/(-2068))? 4 What is the tens digit of (58/6)/(0 + 8/168)? 0 What is the units digit of (8852/2)/(104/52)? 3 Let x be (-4)/2 - (-201 + -2). Suppose 7*y -
{ "pile_set_name": "DM Mathematics" }
1*i**2 + 13*i - 66. Let c(o) be the first derivative of x(o). Differentiate c(w) wrt w. 2*w + 3 Let o = -46 + 49. Suppose 8*k + 5*a - 10 = o*k, 6 = 3*k - 5*a. What is the third derivative of -9*z**k + 0*z + 0*z + 3*z**3 - 22*z**2 wrt z? 18 Let w = -306 - -328. Differentiate w + 53*i**4 + 11*i**4 - i**3 - 19 - 66 wrt i. 256*i**3 - 3*i**2 Let d(m) = 173*m**2 - 83*m + 7. Let s = 208 + -201. Let f(y) = 87*y**2 - 41*y + 3. Let i(l) = s*f(l) - 3*d(l). Find the second derivative of i(j) wrt j. 180 Suppose 0 = 4*p - 9*p + 15. Find the first derivative of -36*i**3 - 31 - 28*i**3 + 99*i**3 - 34*i**p - 5*i**2 wrt i. 3*i**2 - 10*i What is the third derivative of -2298*z**2 - 9349*z**3 + 21592*z**3 + 6 - 1 - 5 wrt z? 73458 Let d(r) be the third derivative of -r**8/168 - 41*r**6/15 - 1969*r**5/60 + 665*r**2 + 2. What is the third derivative of d(a) wrt a? -120*a**2 - 1968 Let k be ((-21)/(-14))/((-15)/(-50)). What is the second derivative of y**k + 1152*y**4 - 10*y**3 - 1152*y**4 + 89*y - 3*y**5 wrt y? -40*y**3 - 60*y Let v(y) = 29*y**3 - 88*y**2 - 97*y - 37226. Let f(z) = 5*z**3 - 15*z**2 - 17*z - 6204. Let x(m) = 23*f(m) - 4*v(m). Find the first derivative of x(j) wrt j. -3*j**2 + 14*j - 3 Let o(p) be the third derivative of p**6/60 - 43*p**5/60 - 442*p**3/3 + p**2 + 10. What is the derivative of o(h) wrt h? 6*h**2 - 86*h Suppose -22*i + 19*i + 732 = 5*a, 4*i + 2*a = 962. What is the second derivative of -1 + i*m + 2 - 87*m - 4 - 34*m**5 - 117*m wrt m? -680*m**3 Let a(k) be the second derivative of -k**7/21 - k**5/5 + 479*k**4/12 - k**2 + 123*k. What is the third derivative of a(h) wrt h? -120*h**2 - 24 Let m = 49 - 21. What is the second derivative of -m*h - 5*h**2 + 0*h**2 - 4*h**2 + 4*h**3 + 2*h**2 wrt h? 24*h - 14 Suppose -147*r + 12*r = 0. Let v(y) be the first derivative of -19*y + 48/5*y**5 + 0*y**4 + 0*y**2 + r*y**3 + 15. Find the first derivative of v(n) wrt n. 192*n**3 Let r(o) be the first derivative of 357*o**2 - 1617*o + 1270. What is the first derivative of r(q) wrt q? 714 Let l(g) be the second derivative of 19*g**8/4 + g**6/30 - 5057*g**4/12 + 6866*g. Find the third derivative of l(r) wrt r. 31920*r**3 + 24*r Let u(l) = -12*l**2 - l**2 - 36*l + l**3 + 27*l - 38. Let c be u(14). What is the third derivative of c*z**2 - 12*z**2 - 9*z**2 - 13*z**2 + 21*z**5 wrt z? 1260*z**2 Let y = 86 - 73. Let u be (-5)/(((-325)/30)/y). Find the third derivative of 19*g**2 + u*g**2 + 44*g**3 - 6*g**3 + g**2 wrt g. 228 Suppose -y + a = 42, 4*y + 4*a - 32 + 184 = 0. Let g = y + 42. What is the second derivative of 160 + 27*s**g - 9*s - 160 wrt s? 54 Suppose 0 = -6*b + 8 + 4. What is the third derivative of 82*i**3 + 7*i**b - 18*i**2 - 42*i**2 wrt i? 492 Let k(p) = p + 6. Let u be k(-4). Let f(c) = -c**2 - 15*c - 6. Let b be f(-13). Differentiate -19*s**2 + 0*s**u + b + s**2 wrt s. -36*s Let l(r) = -140*r**2 - 40*r**3 + 2 + 19*r**2 + 115*r**3 + 0. Let t(h) = -2*h**3 + 1. Let f(z) = l(z) - 2*t(z). What is the third derivative of f(v) wrt v? 474 Let w(i) be the first derivative of 0*i**5 + 0*i**3 + 91/2*i**6 + 0*i**4 + 9/2*i**2 + 12 + 0*i. Find the second derivative of w(g) wrt g. 5460*g**3 Differentiate 25*p + 15*p - 293*p**2 - 40*p - 355 with respect to p. -586*p Let x(m) = 2*m - 1. Let v = 71 - 76. Let n(d) = 27*d + 7. Let o(h) = h + 1. Let j(s) = v*o(s) + n(s). Let t(z) = -j(z) + 3*x(z). Differentiate t(w) wrt w. -16 What is the derivative of -480*x**2 + 367*x**4 - 3493 - 125*x**4 - 122*x**4 - 123*x**4 + 69*x**2 wrt x? -12*x**3 - 822*x Suppose -2*b - 4*l + 85 = 3*b, -36 = -b + 3*l. Suppose -5*s + 54 = 2*h - 3, h = 2*s - b. What is the derivative of -5 + 4 - 12*d**4 + s wrt d? -48*d**3 What is the third derivative of 4562*v**6 - 3991*v**2 + 1462*v - 1269*v**6 - 1463*v + 2074*v**6 + 355*v**2 wrt v? 644040*v**3 Let b(q) = 36*q**2 - 12*q. Let j(t) = 72*t**2 - 25*t - 1. Suppose -43*a + 11*a = 320. Let w(p) = a*b(p) + 4*j(p). What is the second derivative of w(f) wrt f? -144 Let z = 102 - 100. Let p = -70 + 115. Find the third derivative of 0*r**4 + 31*r**5 + 21*r**z - p*r**2 + 0*r**4 wrt r. 1860*r**2 Let s(a) be the first derivative of 0*a**3 + 5*a + 34 + 11/2*a**2 + 189/4*a**4. What is the second derivative of s(w) wrt w? 1134*w What is the second derivative of 41138*z**2 - 41042*z**2 + 1234*z + 1559*z - 3484*z - 16*z**5 - 2*z**3 - 4122*z wrt z? -320*z**3 - 12*z + 192 Let m(x) be the second derivative of -61*x**6/30 - x**4/3 + 257*x**2 + 6*x + 12. Differentiate m(r) with respect to r. -244*r**3 - 8*r Let w(r) be the first derivative of -296*r**6/3 + 941*r**3/3 - 914. Find the third derivative of w(c) wrt c. -35520*c**2 Let a(y) be the third derivative of -27*y**2 + 0*y - 14/15*y**5 + 2 - 1/6*y**3 - 97/120*y**6 + 0*y**4. What is the third derivative of a(j) wrt j? -582 Suppose -773 = -6*z + 2323. What is the third derivative of -62*a**2 - z*a**6 - 479*a**6 + 856*a**6 - 50*a**2 wrt a? -16680*a**3 Find the third derivative of -2 + 23*s**4 - 3*s**6 - 38401*s**2 + 38606*s**2 + 19*s**4 wrt s. -360*s**3 + 1008*s What is the derivative of 331 + 568 + 1182*k + 48*k - 160*k - k**2 + 1112 wrt k? -2*k + 1070 Find the second derivative of 9276*t + 2*t**3 - 669 + 166*t**5 - 4635*t - 4638*t wrt t. 3320*t**3 + 12*t Find the third derivative of -177*l**2 - 580*l**5 + 123*l**2 - 1465*l**5 + 9*l + 2*l wrt l. -122700*l**2 Find the first derivative of -4882 + 16226*q - 16226*q + 3184*q**2 wrt q. 6368*q What is the third derivative of 34*h + 180*h**4 + 20*h**4 + 4*h**3 + 61*h + 2717*h**2 - 2704*h**2 wrt h? 4800*h + 24 Let u(q) be the third derivative of 31*q**7/14 + 39*q**5/20 + q**4/3 - 713*q**2 - 2. What is the third derivative of u(t) wrt t? 11160*t Let g be (-41 - -47)*(-4)/(-6). What is the first derivative of -2*w + 36 - 2*w + w + g*w - 114*w**2 - 125 wrt w? -228*w + 1 Suppose 7*f + 14 = 14*f. What is the derivative of -51*m**2 - 38*m**f + 71 - 178*m + 178*m wrt m? -178*m Let q(y) = y**2 - 26*y + 83. Let z be q(35). Find the first derivative of -391*i**4 + 2*i - z*i**4 + 786*i**4 - 51 wrt i. -12*i**3 + 2 Let y(g) be the first derivative of g**7/7 - 36*g**5/5 - 21*g**4/4 - g**3 + 307*g**2 + 16. What is the third derivative of y(u) wrt u? 120*u**3 - 864*u - 126 Let i(b) be the first derivative of -1/2*b**2 + 23*b - 74 + 0*b**3 + 207/4*b**4. What is the second derivative of i(d) wrt d? 1242*d Let z(p) = 209*p**3 + 9*p**2 + 15*p - 49. Let q(t) = t**3 - 2*t**2 + 2. Let d(c) = -3*q(c) - z(c). Find the second derivative of d(k) wrt k. -1272*k - 6 Let r(n) = 8*n - 20. Let k be r(-4). Let w = 56 + k. What is the second derivative of 38*p - 34*p + 13*p**4 + 21*p**w wrt p? 408*p**2 Let w be (-2)/3 + ((-465)/(-9) - 0). Find the third derivative of 51*z**4 - 30*z**2 - w*z**4 + 95*z**4 wrt z. 2280*z Let n(f) be the first derivative of -41*f**6/15 + 66*f**2 + 77*f + 89. Let j(z) be the first derivative of n(z). What is the derivative of j(d) wrt d? -328*d**3 Let t(n) = -36*n**2 + 16*n. Let j(w) = 3. Let f(b) = 4. Let k(o) = -2*f(o) + 3*j(o). Let x(v) = -2*k(v) - t(v). Find the second derivative of x(a) wrt a. 72 Let c(x) be the first derivative of -2/3*x**3 + 0*x**4 + 0*x + 25 + 0*x**5 + 61/6*x**6 - 11*x**2. Find the third derivative of c(u) wrt u. 3660*u**2 What is the third derivative of 0*r**3 - 6944*r - 5888*r**2 + 226*r**6 - 2 + 0*r**3 + 6944*r wrt r? 27120*r**3 Suppose -13*k + 39 + 26 = 0. Find the third derivative of -254*c**2 + c + 4*c - 67*c**3 - k*c + 366*c**2 wrt c. -402 Let f(p) = -2*p**3 - 8*p**2 + p + 7. Let q be f(-4). What is the second derivative of 48*l**5 + 5 + 14*l + q - 15 + 3 wrt l? 960*l**3 Let w = 989 - 705. What is the third derivative of 28*a**4 - a**3 + 5*a + 260*a**2 - w*a**2 - 5*a wrt a? 672*a - 6 Suppose -547*f + 3263 = -78*f - 20. Let x(w) be the third derivative of -f*w**3 + 0*w + 41/24*w**4 - 3*w**2 + 0. What is the derivative of x(n) wrt n? 41 Suppose -2*c = -17*c + 420. Suppose -8*p + 4*p + c = 0. Differentiate -p - 7 - 12 - 9 - v**3 + 19*v**4 with respect to v. 76*v**3 - 3*v**2 Let l = 15 - -56. Let b = l + -42. Find the third derivative of 16*u**4 - 6*u**4 + 29 - b + 5*u**2 wrt u. 240*u What is the third derivative of 1273*l**3 + 3347*l**2 + 12 - 3371*l**2 + 3 wrt l? 7638 Let g(y) be the first derivative of 0*y**4 - 27/5*y**5 + 104 + 0*y**2 - 146/3*y**
{ "pile_set_name": "DM Mathematics" }
Is 7 + (65762/6 - (-25)/(-75)) composite? True Is (1656/(-48))/23 - (-22)/4 a prime number? False Let g(w) = w**3 + 6*w**2 - w - 10. Let b be g(-13). Let c be (b/(-10))/((-2)/(-8)). Suppose 4*h - c = 396. Is h composite? True Suppose -4*l + l = -2925. Let c = -586 + l. Is c a prime number? True Suppose 0 = -3*c - 2*y + 38941, -y - 7609 - 5368 = -c. Is c prime? True Suppose -3*l - 22 = -3*g + 53, -3*l - 80 = -2*g. Let y = l - -81. Is y a composite number? True Let v(a) = -a**2 - 2*a + 6. Let q be v(-3). Suppose 13 = q*j + 2*g, j - g + 4 + 0 = 0. Is (-4243)/(-6) + j/(-6) composite? True Let h(n) = -n**3 + n**2 + 2*n + 6022. Is h(0) prime? False Let m(t) = t**2 - 11*t + 14. Let j be m(8). Is (j + 1)*-1*(-1 + 2) prime? False Let x(y) = 7*y**2 - 13*y - 19. Is x(20) prime? True Let j = 328 + -172. Let y be ((-5)/30*0)/(-3). Suppose 2*m - 1 = -3, -q + m + j = y. Is q prime? False Let r be 12/42 + 10854/(-14). Let o = r + 1362. Is o composite? False Suppose 0 = 5*c + 3*u - 56503, -2*u - 77 = -69. Is c composite? True Is (-21)/(-35) - 5/(75/(-12576)) composite? False Let k(q) = 3*q - 6. Let b be k(3). Suppose -3*l + 5*s = -2016, b*s + 6 = 15. Is l a composite number? False Suppose 3*z = 5*j - z - 15, -9 = -3*j + 3*z. Suppose 0*b - 3*h + 1324 = b, 3930 = j*b - 5*h. Is b a prime number? False Let v(w) = 23123*w + 3. Is v(2) a prime number? False Let l(x) = 171*x - 28. Is l(2) a prime number? False Let t(l) = 2*l**2 - 22*l - 15. Let g be t(12). Is (-3*1 + 10521/g)/2 a prime number? False Let z = -8 - -8. Suppose -4*l = -0*l - 5220. Suppose -5*n + 190 + l = z. Is n prime? False Let m = 1050 + -4320. Let x = -2189 - m. Is x composite? True Let j(x) = 9*x**3 + x**2 + 1. Suppose -2*v - 3*a + 7 = 0, -v - a - 2 = -5*a. Suppose 5*t - v*s = 2 + 6, 0 = t - 4*s + 2. Is j(t) composite? True Suppose d + 2*d - 18036 = 2*q, -d + 4*q = -6012. Let n = d + -3833. Is n prime? True Let f(m) = -m - 16 - 2*m + m. Let i be f(-11). Suppose -22 = -7*k + i*k. Is k composite? True Suppose -72*s + 63652 = -70*s. Is s a prime number? False Let w = 185 - -752. Is w a prime number? True Let s be (-49)/14*(-4)/7. Suppose -6522 = s*t - 8*t. Is t composite? False Let r = -16 - -10. Let b be 93/18 + 1/r. Suppose b*q = 18 + 17. Is q composite? False Let x = 906 - -103. Suppose x = -5*o + 11579. Is 2/(-5) - o/(-10) a prime number? True Let b = 12 + -6. Is ((-6)/(-4))/(b/3076) prime? True Let w(h) = 16*h - 6. Suppose 7 + 13 = 5*x. Is w(x) a composite number? True Let f(n) = 2*n**2 - 5*n + 2*n - 4 - 3*n**2 + 9*n**2. Suppose -2*h + 0*h + 10 = 0. Is f(h) a composite number? False Suppose -2*q + 3*r = -22, 0 = 2*q - 4*q + 4*r + 22. Suppose 1062 = -5*g + q*g. Is g a prime number? False Let d = 82 + 2497. Is d a prime number? True Suppose 0 = 5*q + j - 3849, -q + 5*j - 123 = -872. Suppose 5*r + 5*k - 1048 + 273 = 0, 0 = -5*r - 2*k + q. Suppose 0 = -4*b - 17 + r. Is b a composite number? True Let b(r) = 25*r + 90. Is b(11) prime? False Suppose 2*z = -2*c + 5629 - 1043, 5*z - c - 11453 = 0. Let f = z - 288. Is f prime? True Let t(a) = 2 + 3 + 6*a + 3 - a**2. Let x be t(9). Let d = x + 86. Is d composite? False Let x = -82 - -76. Is (-205)/((-3)/x*-2) a prime number? False Let f = -27 - -29. Suppose -f*v - 549 = -2143. Is v a composite number? False Let q be 1*(480/3 - -2). Suppose 0*a = 4*p - 3*a - 314, -2*p + q = a. Suppose -4*m - 5*i = -p - 155, -2*m - 5*i = -125. Is m a composite number? True Suppose -2*m - 2*m + 3*o + 10620 = 0, 2*m - 5*o = 5324. Let b = m - 739. Is b a composite number? False Let q(c) = -9*c**3 + c**2 + 32*c + 113. Is q(-4) a composite number? False Let o = 3711 - 2000. Is o prime? False Let z(x) = 778*x**2 - 4*x + 3. Let s(h) = -259*h**2 + h - 1. Let m = -5 - 2. Let j(q) = m*s(q) - 2*z(q). Is j(-1) prime? True Let k(y) be the third derivative of 1/6*y**4 + 0 + 5/6*y**3 + 1/20*y**5 - 1/120*y**6 + 0*y - 3*y**2. Is k(-5) composite? True Suppose 5*w + 1666 = 5*z - 704, -2*w = -5*z + 2355. Let a = -299 + z. Suppose -a - 282 = -2*h. Is h a composite number? True Let c be ((-48)/21 - -2) + 190/(-70). Is (52262/c)/(-7) - 1/(-3) a composite number? True Suppose -26*m = -45*m + 183331. Is m prime? True Let v(m) = -3*m - 12 + 1 + m**2 + m**3 + 5 + 12*m. Is v(7) a composite number? False Suppose -1 - 9 = -2*d. Suppose 0 = 4*w, 0 = -3*i + 6*w - d*w + 789. Is i a composite number? False Is 3/(-4) + 1 + (-2817393)/(-204) prime? False Let i(n) = n**2 - 8*n + 5. Let w be i(7). Let g be ((-14)/4 - w)*-2. Suppose 5*j = -g*y + 502 + 274, -4*y = 4*j - 616. Is j a composite number? False Let u = 10982 - 1333. Is u a prime number? True Let u(r) = -18*r**2 + 11*r - 21. Let c(t) = -t**3 - t**2 + t. Let y(z) = c(z) - u(z). Is y(14) prime? False Suppose 2*p = 1 + 9. Suppose 774 = 3*j + n, -p*n + 928 = 5*j - 352. Suppose -j = -3*r - 4*r. Is r a composite number? False Let j(q) = q - 7*q - 2*q - 4*q**2 - 3. Let i be j(-11). Is (-2 + 1)*(i - -2) composite? False Suppose -39*m = -40*m + 22535. Is m a composite number? True Suppose -d + 2168 + 976 = 2*b, -9425 = -3*d + b. Let o = d + -323. Is o composite? False Suppose 23*i = 21*i + 6. Suppose -3*v - 5*r = -4207, -v - i*r + 311 = -1094. Is v a composite number? False Let o(b) = 25*b**2 - 24*b + 29. Is o(15) a prime number? False Suppose -40*j = -37*j - 6159. Is j prime? True Suppose 0 = -s - s - 2*l + 3326, 6638 = 4*s - 3*l. Is s prime? False Let q(m) = 6*m + 4. Let f be q(12). Suppose -3*i = -2*r - 305, 0 = 5*i - 3*r - 188 - 320. Let p = i + f. Is p a prime number? False Suppose -2*l - 7 + 13 = 0. Is -6*(-4)/8*1949/l prime? True Let g = -621 - -404. Let k = 34 - g. Is k prime? True Let f(d) = 2370*d**2 - 104*d - 316. Is f(-3) prime? False Suppose 4*q + 12 = 10*q. Is 14216/40 - q/5 composite? True Let y = 2 + 1. Suppose 2755 = 11*l - 1205. Suppose y*f = l + 87. Is f a composite number? False Let i be (-7 - -16)/((-9)/(-582)). Suppose 3*s - i = s. Is s a composite number? True Let n(y) = 150*y + 91. Is n(13) composite? True Suppose -5151 = -14*l + 22135. Is l composite? False Suppose -41*x + 9141 = -30*x. Is x prime? False Let r(k) = -k + 21*k**2 + 225 - 252 + 2*k. Is r(-11) prime? True Suppose 7*r + 18581 = 3*w + 12*r, 4*r = 5*w - 30993. Is w prime? True Let k = 1365 + -496. Is k a prime number? False Is ((-840)/180)/(4/(-1266)) composite? True Suppose 4*p = 2*a - 38, 0*a = -2*a - p + 33. Let g = a - 13. Suppose l - g*b - 94 = b, l - 93 = 4*b. Is l a prime number? True Let w(a) = 4*a + 16. Let u(j) = 3*j - 1. Let h be u(-2). Let x be w(h). Is x/6 + (47 - -1) a composite number? True Let z(u) = 9*u**2 + u - 6. Suppose 0 = 3*a + 3, -2*a + 1 = -3*b - 9. Is z(b) prime? False Let y be 6/4*(-3 - -1). Is 3/((-5280)/(-1756) + y) + -2 a composite number? True Suppose 14*x = 5*f + 10*x - 1482, 3*f - 898 = -2*x. Is f prime? False Let v(x) = 36*x**2 + 18*x + 31. Is v(9) a prime number? True Suppose j = -5*c - 0*c - 17, 10 = -2*j - 4*c. Is (j/(-5))/((-3)/2055) a composite number? True Let y = 518 + -27. Suppose -5*v = -3946 + y. Is v composite? False Let u(d) = -d. Let b be u(0). Suppose -4*z - 3*n + 248 = 0, -2*z + 126 = n - b*n. Is z a prime number? False Let s = 11 + -12. Let q = -11 - -13. Is (q + -159 + -2)*s prime? False Let p(c) be the second derivative of -35/3*c**3 + 0 - 7/2*c**2 - 2*c. Is p(-6) a prime number? False Let y be -5 + 4 - 3*-3. Suppose -i = -5*i + y. Suppose i*z - 153 = 293. Is z a composite number? False Let c be 1*-3 - (-7 + 1). Let v(h) = -42*h**c + 5 + 3 + 5*h - 29*h**3 - 3. Is v(-2) a composite number? False Let b(g) = g**3 + 20*g**2 + 24*g - 25. Let z(n) = -2*n**3 - 41*n**2 - 47*n + 50. Let y(j) = -7*b(j) - 4*z(j). Let o = -84 + 66. Is y(o) composite? False Let t = -11 - -2. Let n be (-558)/t + -1 + 0. Let l = 18 + n. Is l prime? True Suppose 6*y - 19 - 5 = 0. Is 2555 + (0 - 2) + y + 0 a composite number? False Suppose 2*y - y - 3*o = 1660, -4*o = -4*y + 6632. Is y a composite number? False Suppose 0 = -27*z + 8*z + 740107. Is z composite? False Let m(n) be the first derivative of 4*n**3 - 9 + 5/2*n**2 + 12*n. Is m(5) prime? True Suppose 41 = 4*x + u, 3*x - 3*u - 37 = -x. Let f(p) = p**2 + 9*p + 21. Is f(x) a composite number? False Is (-19)/38 + (-1)/4*-2062 a composite number? True Let g = -24 + 28. Suppose 928 = 3*t + 5*o, -g*t + 3*o +
{ "pile_set_name": "DM Mathematics" }
i + 22. Let z be r(-10). Let d(n) = 2*n**3 - 3*n**2 + 17*n - 34. Let j be d(z). Solve 5*u + j = -1 for u. -1 Let u = 15519 - 15510. Solve 0 = 5*g - 14*g - u for g. -1 Let t(g) = -68*g + 68. Let k be t(1). Solve k = 40*a - 3*a + 148 for a. -4 Suppose t + 65 = -5*n, -n + 0*n = -5*t - 247. Let l be ((-44)/(-10))/((-5)/t). Let u = l + -29. Solve u = -6*s + s for s. -3 Let q(d) = -220*d - 758. Let r be q(-7). Solve 0 = -5*y - r + 762 for y. -4 Let h(b) = -b**3 - 7*b**2 + 4*b - 20. Let z be (-1)/(8/(67 - 3)). Let x be h(z). Solve 21*i - 15*i + x = 0 for i. -2 Let n(j) = 4*j**2 + 456*j + 64. Let v be n(-114). Solve -60 = 2*c - v for c. 2 Suppose -2*y = y - 3. Let d be (3 + 14 + y)/((-4)/(-6)). Let f = d - 23. Solve 0*s = -f*s - 16 for s. -4 Let p = 204 + -204. Let l = 124 - 124. Solve l = -p*c - 3*c + 9 for c. 3 Let p = -4630 - -4660. Solve -31 - 149 = p*l for l. -6 Let w(s) = 11*s - 352. Let b be w(32). Solve 170*g - 165*g - 20 = b for g. 4 Suppose 0*l + 1000 = 4*l. Suppose 0 = y - 3*t - 139, 3*y - t = 5*y - l. Let k = 127 - y. Solve k = s + 2 + 3 for s. -5 Let k(z) = z**2 + 20*z + 21. Let x be (2 - 3 - -2)/((-1)/19). Let y be k(x). Solve y = -q + 5 for q. 3 Let z = 6231 - 6200. Solve -6 = z*g - 29*g for g. -3 Let u(v) be the third derivative of -v**6/120 + 11*v**5/60 - 5*v**4/8 - 10*v**3/3 + v**2 - 52*v. Let o be u(9). Solve o = 6*f + 1 for f. 1 Let x(y) = -y**3 + 3*y**2 + 418*y + 14. Let p be x(22). Solve 25*s = 23*s - p for s. -7 Suppose 28*p = 26*p + 5*f + 176, -4*f = -2*p + 176. Solve 0 = 14*w - 18 + p for w. -5 Let l(f) = 2 - 2 + 11*f - f**2 + 8. Let u be l(12). Let x be 15/(-10) - 18/u. Solve c - 12 = -x*c for c. 3 Let j(z) = -532*z - 3581. Let q be j(-7). Solve -141 + q = -d for d. -2 Suppose 684*n - 155611 = 623*n. Solve p + n = 2557 for p. 6 Let k(z) = 546*z + 12052. Let y be k(-22). Solve -64*b + y = -69*b for b. -8 Let y(b) = -b**3 + 13*b**2 - 2*b + 22. Let p be y(13). Let o be 2 + (-2 - -2)*(-2)/p. Suppose -a = o*k - 6, 5*a - 4 + 14 = 0. Solve x + 0*x = k for x. 4 Suppose 9*w + 90 = 9. Let x be (2 - w/18)/((-1)/(-4)). Solve 13 - x = o for o. 3 Let x(l) = -l**3 + 3*l**2 + 5*l - 4. Let g be 43/387 + 17/9. Let o be x(g). Solve -o + 2 = 2*y for y. -4 Suppose 2*x = -x - 255. Let w = -58 - x. Let c be (28/21)/(12/w). Solve -1 - c = r for r. -4 Let k(o) = -o**2 + 5*o - 2. Let b be k(4). Let l be 21/(-63) - 1087/(-3). Let y = -362 + l. Solve -b*m - 10 = -y for m. -5 Let d = 55984 - 55972. Let f(c) = c - c - 1 - c. Let t be f(-1). Solve t = -0*b + 3*b + d for b. -4 Let t = -10019 + 10041. Solve t*g - 16*g = 42 for g. 7 Let m(d) = d**3 - 73*d**2 - 156*d + 462. Let a be m(75). Solve 9*p = a*p + 6 for p. -2 Let h(c) = -c**3 - 7*c**2 - 16*c - 23. Let t be h(-6). Let q be (-35 + t)/(0 - -1). Solve -q*a - 3*a - 20 = 0 for a. -4 Let f(s) = -2*s**3 + 5*s + 12. Let d be f(-4). Suppose 10*b + 3*m - d = 7*b, 2*b + m = 76. Solve b = 3*c + 45 for c. -3 Let k(l) = -6*l**2 - 186*l - 173. Let g be k(-30). Let y(h) = -h**3 + 2*h**2 + 2*h - 2. Let d be y(2). Solve 0 = -9*p - g - d for p. -1 Suppose 4*y = 3 + 5. Suppose 63 = -y*o + 2*g + 3*g, -4*o + 3*g = 105. Let r(u) = -2*u**2 - 49*u - 24. Let b be r(o). Solve l + b*l = 0 for l. 0 Let h = -27899 - -29582. Solve -1655 = -7*u - h for u. -4 Suppose -32*w + 37*w + 4*c = 1, 4*w = -5*c - 10. Solve -w*a - 15 = -30 for a. 3 Let f be 0 + 0 + -3 - (3 - 5). Let h be (0 + f)/(2/(-6)). Solve -b - h*b - 4 = 0 for b. -1 Let z(g) = g**3 + 16*g**2 - 8*g + 153. Let m be z(-17). Suppose 2*c = 2*y - 46, c + 90 = 4*y - c. Let v = y + -18. Solve -3*i + v*i = m for i. 0 Suppose 175*a + 440 = 215*a. Solve 8*n + a*n - 171 = 0 for n. 9 Suppose 0*b + b = 0. Suppose 60*r - 141 - 39 = 0. Solve b = -f + r - 7 for f. -4 Suppose -33*o + 1411 = 1180. Solve n = -3*n - o*n for n. 0 Suppose 5*t - 4*v + 2*v = -6, 3*v = -3*t + 9. Suppose t = -6*z + 3*z + 21. Solve 5*h - 2 = z*h for h. -1 Suppose 22*m = 5*g + 19*m - 13, 0 = 4*g - 3*m - 11. Suppose 2*s = -0*s - 2*s. Solve 0 = -g*q - s*q for q. 0 Let y(t) be the third derivative of t**4/24 + 8*t**3/3 + 14*t**2. Let w be y(-13). Suppose w*c - 3*x = 9, 0 = -3*c - 4*x + 4 + 26. Solve c*p - 3*p = 0 for p. 0 Let m = 163251 - 163244. Suppose 0 = 2*c - 28 - 0. Solve -42 = m*z - c for z. -4 Let r = -511 - -511. Solve r = -5*i + 8 - 18 for i. -2 Let b be 3/(-4) - 24/(-32). Let q(u) = -4*u - u**3 - 2 - 95*u**2 + 195*u**2 - 95*u**2. Let y be q(2). Solve y*p - p = b for p. 0 Let n be (-23)/(-2) - (17 - (-825)/(-50)). Solve -9*g = 17*g - n*g for g. 0 Let j be (1/((-15)/(-54)) - 0)*16345/934. Solve j*s + 0 = -63 for s. -1 Let v(y) = -2*y**3 + 12*y**2 + 27*y - 142. Let d be v(-4). Solve -x + d = 9*x for x. 7 Let j be ((-35)/252*-12)/((-2)/(-6)). Solve j*m = -4*m for m. 0 Suppose -15 = 6*m + 27. Let k be m/((-28)/64)*-1. Let n be 0 - ((-6)/1 + (-13 - k)). Solve 2*g = n*g for g. 0 Let w be 4740/330 + 4/(-11). Suppose 9*g + 80 = w*g. Solve -4*i + g = 20 for i. -1 Let m(d) = 0*d - 5 + d + 4*d**2 - 1 + 4*d. Let h be m(1). Solve -3*n - h*n = 24 for n. -4 Let t be 6104/1090 - 2/(-5). Solve 21 - 3 = t*x for x. 3 Suppose 36*j + 3456 = 252*j. Solve 5*x - j*x = -19*x for x. 0 Suppose 3*r + 2*u - 5 = 0, 4*u + 16 + 1 = 3*r. Suppose -4*n - 2*o = -0*o - 10, 0 = 2*n - r*o + 15. Suppose n = -3*w - 2*w + 10. Solve w*z - 2 = -0*z for z. 1 Suppose 0 = -4*f + 3*o + 143, 4*f = 9*f - 4*o - 179. Solve 10 = -f*u + 30*u for u. -2 Let i = -15761 + 15765. Solve 0 = i*o + 2 + 26 for o. -7 Suppose -11*p + 30*p - 64 = -13*p. Solve p*r + 6530 - 6546 = 0 for r. 8 Suppose -55 = -0*u - 11*u. Suppose w + 3*a - 1 = 2*w, 0 = -u*w + a + 23. Suppose 0 = -z + 3*z + w*v - 60, z - 35 = -5*v. Solve 0 = 5*s + z - 10 for s. -3 Let d = -167 + 167. Suppose 5*r - 62 + 22 = d. Solve 0*m = -2*m - r for m. -4 Let i(b) = -b**3 + 21*b**2 + 195*b + 28. Let h be i(28). Solve h = -21*v + v + 20 for v. 1 Suppose 6*n + 0 = -6. Let i be (-2)/(n + -2 + 36/18). Solve h - 12 = -i*h for h. 4 Suppose 5*k - 1729*l - 184 = -1730*l, -52 = -2*k + 5*l. Solve 0 = -15*g - k*g + 102 for g. 2 Let w(q) = -q**3 + 45*q**2 - 8*q + 113. Let k be w(45). Let c = k - -253. Solve 4*v - c*v = 10 for v. -5 Let c(f) = 57*f + 773. Let m be c(-10). Solve -m = -40*h + 37 for h. 6 Suppose -5*j - 10 = 0, 0*j = a - 4*j + 323. Let f = a - -338. Solve -21 = f*u + 14 for u. -5 Let q(j) = j**3 + 14*j**2 + 8*j + 132. Let x be q(-14). Let c be 512/20 - 12/x. Solve -4*l + 9*l = c for l. 5 Suppose 3181 = 20*x - 15*x + 3*a, -1264 = -2*x + 3*a. Solve -2*b = 627 - x for b. 4 Let v(t) = -2*t + 30. Let o be v(15). Let a be -1*(o/(-5) - -1). Let u be ((-9)/(-18))/(a/(-4)). Solve -u*s = 1 + 3 for s. -2 Let u be (-6)/(-9)*(-3 - -6). Suppose 5*f = u*p - 4*p, -5*p - 3*f = 0. Solve -3*j - 35 + 26 = p for j. -3 Let k(i) = 6*i**2 - 8*i + 1. Let w = 280 + -278. Let s be k(w). Solve 0 = 2*o + s - 3 for o. -3 Suppose 9*y = -4*y + 4264. Let r = y + -202. Let o = r + -106. Solve -5*z + o = -z for z. 5 Let b(d) = d**2 + 7*d + 12. Let z be b(-5). Let n be -39 + 35 + (z - -2). Solve n = 7*x + 9 + 19 for x. -4 Let o = -43 - -23. Let j be (-4 - -2)/((-32)/o - 2). Suppose -3*b + j = 4*z - 4, -4*z = 0. Solve -5*h = -b*h for h. 0 Let j be 203/70 - (20/(-210) - 1/210). Let f = 12 - 20. Let d be -2*(-2)/f*-4. Solve d*u - j*u = 3 for u. -3 Suppose 180*y - 35 = 179*y + x, 3*x - 39 = -y. Solve d - y + 40 = 0 for d. -4 Suppose -5*w - 130 = 5*m, -2*m = 3*w + 14 + 60. Let l be (-17 - w)*1*4. Solve 0 = -4*s - 4 + l for s. 4 Suppose 6*a - 36 = 3*a - 5*g, g - 31 = -2*a. Solve 18*j = a*j - 2 for j. -2 Let s(b) = b**2 + 11*b + 11. Let d be s(-10). Let c(u) = -2*u**3 + 77*u**2 - 312*u + 204. Let f be c(34). Solve w - d + f = 0 for w. 1 Let x = 192 + -189. Let y be (x/(-2))/(13/(-52)). Solve s + y = 7 for s. 1 Let d(c) = 3*c + 77. Let m be d(-18). Let w = m - 21. Solve w + 7 = 3*s for s. 3 Suppose -5*y - 2*u + 117 = -u, 0 = -5*y + 5*u + 135. Let i = 784903 - 784899. Solve -12*v + i*v - y = 0 for v. -3 Let q = 244 + -204. Suppose 0 = -6*d + q - 16. Solve -3*f = f + d for f. -1 Let j = -97 + -566. Let c = j - -663. Solve c = 2*g + 29 - 23 for g. -3 Let w(h) = 1400*h**2 + 5*h - 1401*h**2 - 17*h - 11*h - 110. Let j be w(-10). Solve 7*b = 12*b - j for b. 4 Let y be (27/(-81))/(4/(-72) + 0). Solve 25*g - y*g - 38 = 0 for g. 2 Let g(o) = o**3 + o**2 - 13*o
{ "pile_set_name": "DM Mathematics" }
d to 4 dps? -0.0405 Round -339633.6192 to the nearest 10. -339630 What is 689001.768 rounded to the nearest 1000000? 1000000 What is -15971948.2 rounded to the nearest one million? -16000000 What is -0.001188992691 rounded to 4 dps? -0.0012 Round 198934.537 to the nearest one thousand. 199000 What is 346.52157 rounded to the nearest 10? 350 Round 5.76629301 to four decimal places. 5.7663 Round 583604976.3 to the nearest 1000000. 584000000 What is -0.1490860295 rounded to three dps? -0.149 What is 0.36513905 rounded to three dps? 0.365 Round 205591.91 to the nearest 1000. 206000 What is 6501.3497 rounded to the nearest one hundred? 6500 Round -236.058778 to the nearest 100. -200 Round -34.22404526 to 1 decimal place. -34.2 Round -1.6864910247 to 2 dps. -1.69 Round -285099059 to the nearest 1000000. -285000000 What is -51775.46743 rounded to the nearest ten? -51780 Round -0.0189775013 to five decimal places. -0.01898 Round -207.2465223 to the nearest 10. -210 Round -0.301267381 to four dps. -0.3013 What is -111.9116735 rounded to the nearest 100? -100 Round 0.00002733303721 to five dps. 0.00003 What is 0.005250103002 rounded to 7 dps? 0.0052501 Round 16010667.239 to the nearest one million. 16000000 Round -0.0000005696756767 to seven dps. -0.0000006 Round 631796.8 to the nearest one thousand. 632000 Round 33604874500 to the nearest 1000000. 33605000000 Round 0.001039066316 to six dps. 0.001039 Round 13081946.04 to the nearest one hundred thousand. 13100000 What is -0.000000066270111 rounded to seven decimal places? -0.0000001 What is -0.00716788445 rounded to 7 dps? -0.0071679 What is 0.0002146176562 rounded to 4 dps? 0.0002 What is -0.00000077367349 rounded to 7 dps? -0.0000008 What is 57401.748 rounded to the nearest one hundred? 57400 Round 0.2884247415 to 1 dp. 0.3 What is -14721.93375 rounded to the nearest integer? -14722 Round -0.0022625532 to seven dps. -0.0022626 What is 505953.5691 rounded to the nearest 1000? 506000 Round -0.003281945767 to four dps. -0.0033 Round -17264.779 to the nearest integer. -17265 What is -1255949.24 rounded to the nearest ten thousand? -1260000 Round -3.2401919 to 1 dp. -3.2 Round 0.0355387834 to 5 decimal places. 0.03554 What is 274800.9551 rounded to the nearest 10? 274800 What is 634957.362 rounded to the nearest one thousand? 635000 Round -238.31937 to 0 dps. -238 What is -0.7452588868 rounded to two dps? -0.75 Round 494102.768 to the nearest 100. 494100 Round 300140.2896 to the nearest 10. 300140 Round 800.158018 to the nearest 10. 800 What is 20.3414577 rounded to 3 dps? 20.341 What is 932482301 rounded to the nearest one hundred thousand? 932500000 Round -0.0392912964 to four dps. -0.0393 Round 0.0630144279 to three decimal places. 0.063 What is -27724462970 rounded to the nearest 1000000? -27724000000 Round 0.371995179 to three dps. 0.372 Round 615514.4471 to the nearest one hundred. 615500 What is 1357563581 rounded to the nearest 1000000? 1358000000 What is -7740.82799 rounded to 0 decimal places? -7741 Round -323326940 to the nearest 1000000. -323000000 Round -2685729.4 to the nearest 100000. -2700000 What is -37948936 rounded to the nearest ten thousand? -37950000 What is -1.23561999 rounded to four dps? -1.2356 Round -0.1452083949 to five decimal places. -0.14521 Round 0.049976531 to 5 dps. 0.04998 Round 0.003318649153 to five dps. 0.00332 What is -0.006522366387 rounded to 7 decimal places? -0.0065224 Round 0.000024926187 to six decimal places. 0.000025 What is 0.000108433024 rounded to seven dps? 0.0001084 Round 147431.484 to the nearest 10000. 150000 What is -0.001697707024 rounded to six decimal places? -0.001698 What is 10397.663013 rounded to one dp? 10397.7 Round 29596.9134 to 0 decimal places. 29597 Round 2.26004478 to 1 dp. 2.3 What is -12.3611732 rounded to three decimal places? -12.361 Round 94306592 to the nearest one thousand. 94307000 What is 35251.8597 rounded to the nearest integer? 35252 What is -4.02351903 rounded to two decimal places? -4.02 What is 121.8634752 rounded to 1 dp? 121.9 Round 0.005751709 to three decimal places. 0.006 What is -1002.977 rounded to the nearest 10? -1000 Round 0.0151171467 to 4 decimal places. 0.0151 What is -70089.94 rounded to the nearest 10? -70090 What is 937512467 rounded to the nearest 10000? 937510000 Round 20.68126141 to the nearest integer. 21 Round -0.0002156583 to 5 dps. -0.00022 What is 37250.4301 rounded to the nearest integer? 37250 Round 975673.397 to the nearest one hundred. 975700 What is 1572100.87 rounded to the nearest one thousand? 1572000 Round 700.44245 to the nearest one hundred. 700 Round 1787.374 to the nearest 100. 1800 Round 71.99770484 to three dps. 71.998 Round -3138140.73 to the nearest one thousand. -3138000 What is 0.00008433127436 rounded to 5 decimal places? 0.00008 What is 2.4723435 rounded to three decimal places? 2.472 Round 0.01724920942 to three decimal places. 0.017 What is -98602657.2 rounded to the nearest 10000? -98600000 Round -0.00000203154084 to seven decimal places. -0.000002 What is 67259.206 rounded to the nearest ten? 67260 Round -0.012395417362 to 4 dps. -0.0124 What is -399.18556 rounded to the nearest one hundred? -400 What is -4.92812574 rounded to 2 decimal places? -4.93 What is -0.999846388 rounded to 3 dps? -1 What is 8.463901883 rounded to two dps? 8.46 What is 0.0002418834513 rounded to 7 dps? 0.0002419 Round 11298294.6 to the nearest 1000000. 11000000 What is 0.820702201 rounded to 1 decimal place? 0.8 Round -21090923 to the nearest 10000. -21090000 What is -99.9362437 rounded to 3 dps? -99.936 Round 0.000395303256 to seven dps. 0.0003953 Round -8.0311824 to 2 decimal places. -8.03 What is 7405.94867 rounded to 0 dps? 7406 Round -490176.84 to the nearest one hundred thousand. -500000 Round -0.000016449989723 to 6 dps. -0.000016 What is 0.011401095 rounded to three decimal places? 0.011 Round 14.39475632 to two decimal places. 14.39 Round 4068043.594 to the nearest one hundred thousand. 4100000 What is -0.0001170198868 rounded to 7 dps? -0.000117 What is 0.0010223637 rounded to four dps? 0.001 What is -0.000000721943914 rounded to seven dps? -0.0000007 Round 15394000.9 to the nearest ten thousand. 15390000 Round -0.08338309224 to three decimal places. -0.083 Round -81449925 to the nearest 1000000. -81000000 What is 16.25997989 rounded to 3 decimal places? 16.26 Round 17953865.67 to the nearest one million. 18000000 What is -0.02461817525 rounded to three decimal places? -0.025 What is -0.7314439509 rounded to two dps? -0.73 What is -0.0008189752447 rounded to 6 dps? -0.000819 What is 529147.528 rounded to the nearest one hundred? 529100 What is -0.1752356056 rounded to 2 dps? -0.18 Round 287.4252711 to 0 dps. 287 Round 2516636.22 to the nearest 100000. 2500000 What is 947.342924 rounded to two decimal places? 947.34 What is 0.00000934503416 rounded to 6 dps? 0.000009 Round -222376.89366 to the nearest 10. -222380 What is -13230782.2 rounded to the nearest one hundred thousand? -13200000 Round 1815604700 to the nearest 1000000. 1816000000 Round 157892.956 to the nearest 10. 157890 What is 174.371278 rounded to two decimal places? 174.37 What is 1.2522149 rounded to one decimal place? 1.3 Round 554116.977 to the nearest one hundred. 554100 What is 33524.5906 rounded to the nearest ten? 33520 What is -13445634 rounded to the nearest 1000000? -13000000 What is 0.374729191 rounded to two dps? 0.37 Round -0.00538350574 to 3 decimal places. -0.005 Round -2149.1357 to the nearest ten. -2150 What is 0.0223569327 rounded to five decimal places? 0.02236 Round -0.000007555032 to 6 decimal places. -0.000008 What is 0.0000005447386198 rounded to 7 dps? 0.0000005 Round -3990.718051 to one decimal place. -3990.7 What is 66263.0454 rounded to the nearest 1000? 66000 Round 0.00102405529 to 5 decimal places. 0.00102 Round -3484073140 to the nearest 100000. -3484100000 Round -4.04806365 to three dps. -4.048 What is 137940.64 rounded to the nearest 10? 137940 What is 1.11361184 rounded to one decimal place? 1.1 What is 0.000239302416 rounded to 7 dps? 0.0002393 Round 0.01765161777 to five decimal places. 0.01765 Round 0.0051196725 to 3 decimal places. 0.005 Round 1359887.34 to the nearest 1000. 1360000 What
{ "pile_set_name": "DM Mathematics" }
in litres? 0.0310194 How many millilitres are there in three fifths of a litre? 600 How many grams are there in eighteen fifths of a kilogram? 3600 What is 1851.825 litres in millilitres? 1851825 Convert 46.93777 years to millennia. 0.04693777 How many months are there in 15/4 of a millennium? 45000 Convert 4.487762 nanometers to centimeters. 0.0000004487762 Convert 7720.972ms to nanoseconds. 7720972000 What is sixty-five thirds of a century in months? 26000 How many microseconds are there in 9.848334s? 9848334 Convert 8.735047 years to decades. 0.8735047 What is 7.730582 micrometers in centimeters? 0.0007730582 How many grams are there in one quarter of a kilogram? 250 What is 12/25 of a litre in millilitres? 480 Convert 4744.61 years to millennia. 4.74461 What is 5/8 of a litre in millilitres? 625 How many microseconds are there in 11.84759 minutes? 710855400 How many grams are there in 6/5 of a kilogram? 1200 How many seconds are there in three sixteenths of a hour? 675 What is 1/5 of a gram in milligrams? 200 How many grams are there in three tenths of a kilogram? 300 What is twenty-one halves of a litre in millilitres? 10500 How many millilitres are there in thirty-seven fifths of a litre? 7400 How many micrograms are there in twenty-seven halves of a milligram? 13500 How many milligrams are there in 17943.68t? 17943680000000 How many months are there in 5/8 of a millennium? 7500 What is three eighths of a microgram in nanograms? 375 Convert 564.0571mg to micrograms. 564057.1 How many nanograms are there in 54/5 of a microgram? 10800 What is fourty-five halves of a kilometer in meters? 22500 What is eighteen fifths of a litre in millilitres? 3600 What is one tenth of a kilometer in millimeters? 100000 How many kilograms are there in 53/4 of a tonne? 13250 What is six fifths of a tonne in kilograms? 1200 What is 136690.1 micrograms in milligrams? 136.6901 What is 70201.33 centimeters in millimeters? 702013.3 Convert 60.47101 micrograms to grams. 0.00006047101 Convert 0.1838725ml to litres. 0.0001838725 How many grams are there in twenty-one halves of a kilogram? 10500 How many years are there in 13/5 of a decade? 26 What is 49/5 of a millennium in centuries? 98 How many weeks are there in 117962.271 minutes? 11.70260625 What is 12/25 of a gram in milligrams? 480 What is 97037.69l in millilitres? 97037690 What is 3/25 of a kilometer in centimeters? 12000 How many seconds are there in 2/27 of a day? 6400 What is twenty-nine halves of a century in months? 17400 How many grams are there in 3/40 of a tonne? 75000 How many millilitres are there in 0.7704115l? 770.4115 How many decades are there in 569391.4 years? 56939.14 How many days are there in 1.624707 minutes? 0.00112826875 What is 8.106782mm in nanometers? 8106782 What is 32/5 of a litre in millilitres? 6400 Convert 64.13591 kilograms to grams. 64135.91 What is 0.9166535 meters in nanometers? 916653500 What is 3/32 of a kilometer in centimeters? 9375 Convert 0.3958263ml to litres. 0.0003958263 How many minutes are there in 51/2 of a hour? 1530 How many months are there in 83/3 of a year? 332 How many tonnes are there in 23905.28ng? 0.00000000002390528 What is 15/4 of a century in years? 375 What is 43/2 of a litre in millilitres? 21500 What is eleven sevenths of a week in minutes? 15840 Convert 12.27938 millilitres to litres. 0.01227938 What is three eighths of a micrometer in nanometers? 375 What is 5/4 of a gram in milligrams? 1250 What is 23/3 of a day in minutes? 11040 What is 292.259ml in litres? 0.292259 Convert 70.66967 millennia to centuries. 706.6967 Convert 16077.21l to millilitres. 16077210 What is 0.4513886g in kilograms? 0.0004513886 How many decades are there in 31935.09 years? 3193.509 Convert 120.63177 months to years. 10.0526475 What is 2485.851 centuries in months? 2983021.2 What is 3/32 of a kilometer in centimeters? 9375 What is 3/8 of a kilometer in centimeters? 37500 What is 1/4 of a millimeter in micrometers? 250 What is eleven eighths of a centimeter in micrometers? 13750 How many tonnes are there in 0.8161584g? 0.0000008161584 Convert 420190.7 weeks to nanoseconds. 254131335360000000000 How many months are there in two fifteenths of a century? 160 What is eleven tenths of a milligram in micrograms? 1100 How many centimeters are there in 25/4 of a meter? 625 What is 20299.2 years in months? 243590.4 Convert 3382.666mg to tonnes. 0.000003382666 Convert 69.95164ms to microseconds. 69951.64 How many seconds are there in five sixths of a hour? 3000 How many millennia are there in 81244.76 centuries? 8124.476 What is seven halves of a meter in millimeters? 3500 How many months are there in 7/8 of a decade? 105 How many kilograms are there in seventeen quarters of a tonne? 4250 What is 3898.305 milligrams in kilograms? 0.003898305 How many minutes are there in 5/14 of a week? 3600 Convert 874.111mm to centimeters. 87.4111 What is 0.300504 kilometers in micrometers? 300504000 How many months are there in 9846.747 decades? 1181609.64 Convert 4196.941ml to litres. 4.196941 Convert 9887.89 millilitres to litres. 9.88789 How many millilitres are there in 6.453408 litres? 6453.408 Convert 39170.85 grams to milligrams. 39170850 What is 743197.8ng in grams? 0.0007431978 What is 61/2 of a litre in millilitres? 30500 How many micrometers are there in twenty-one halves of a millimeter? 10500 What is 793686.7 litres in millilitres? 793686700 How many micrometers are there in one fifth of a centimeter? 2000 Convert 18.124818 months to decades. 0.15104015 What is 59.74609 millennia in months? 716953.08 How many nanoseconds are there in 236921.2 weeks? 143289941760000000000 How many millilitres are there in one fifth of a litre? 200 How many centuries are there in twenty-seven fifths of a millennium? 54 Convert 822.7221 tonnes to nanograms. 822722100000000000 What is one quarter of a decade in months? 30 Convert 40637.61um to centimeters. 4.063761 What is 9.31274ml in litres? 0.00931274 What is 73/5 of a decade in months? 1752 Convert 167.826 years to centuries. 1.67826 What is 203.7104ns in milliseconds? 0.0002037104 What is 1/5 of a litre in millilitres? 200 How many litres are there in 57.563ml? 0.057563 What is one twentieth of a millennium in months? 600 How many nanograms are there in one tenth of a milligram? 100000 How many months are there in 1/5 of a decade? 24 What is 28.36607ml in litres? 0.02836607 Convert 322578.8 millennia to centuries. 3225788 What is 67.7152 kilograms in nanograms? 67715200000000 How many kilometers are there in 795.8244 micrometers? 0.0000007958244 What is eleven eighths of a centimeter in micrometers? 13750 What is 74899.97 decades in millennia? 748.9997 Convert 81.08341 centuries to months. 97300.092 What is 3/10 of a millennium in months? 3600 How many years are there in 21.973902 months? 1.8311585 How many nanograms are there in 11/2 of a microgram? 5500 How many years are there in 3/8 of a millennium? 375 What is 73437.46m in millimeters? 73437460 What is three tenths of a litre in millilitres? 300 How many years are there in five quarters of a millennium? 1250 How many kilograms are there in seventeen halves of a tonne? 8500 Convert 0.3410705 millennia to centuries. 3.410705 How many grams are there in 272.062ug? 0.000272062 What is eight fifteenths of a millennium in months? 6400 What is 3/50 of a litre in millilitres? 60 How many years are there in fifty-four fifths of a century? 1080 How many years are there in seven halves of a century? 350 Convert 29.49567 millilitres to litres. 0.02949567 What is 55/2 of a millennium in decades? 2750 How many years are there in thirty-three fifths of a millennium? 6600 How many hours are there in eighty-three thirds of a day? 664 How many grams are there in 450.0989 nanograms? 0.0000004500989 What is 2/45 of a day in minutes? 64 What is 21/4 of a centimeter in micrometers? 52500 Convert 0.4316815 microseconds to seconds. 0.0000004316815 What is 77.33962l in millilitres? 77339.62 What is fifty-four fifths of a meter in centimeters? 1080 Convert 38.1979 centimeters to micrometers. 381979 How many nanometers are there in 928.5159 centimeters? 9285159000 What is 7/8 of a gram in milligrams? 875 What is se
{ "pile_set_name": "DM Mathematics" }
et h(m) = -m**3 + 5*m**2 + 7*m - 4. Let r be h(6). Factor r*y + d*y**2 + 4/3. 2*(y + 1)*(y + 2)/3 Factor 24/11*c + 6/11*c**3 + 0 - 24/11*c**2. 6*c*(c - 2)**2/11 Suppose 4*n + 2 = -18. Let t(x) = -x**2 - 5*x + 1. Let i be t(n). Factor j - i + 3 + 2*j**2 + 3*j. 2*(j + 1)**2 Suppose -2 = 3*a - a + p, 4*a + 8 = -4*p. Let y be a/(3*3/9). Find r, given that y + 2*r**3 + 4/3*r - 14/3*r**2 - 10/3*r**5 + 14/3*r**4 = 0. -1, 0, 2/5, 1 Let b(g) = 2*g - 1. Let p be b(5). Suppose 0 = -i - 3*x - 2, -4*x - 3 = -i + p. Factor -3*u**2 + u - u + i*u**2 + 2*u. u*(u + 2) Let p(t) be the first derivative of -4*t**5 + 3*t**4 + 16*t**3 + 8*t**2 + 6. Factor p(u). -4*u*(u - 2)*(u + 1)*(5*u + 2) Let x be (-1 + -1)/(112/(-21)). Let p = x + 23/24. Factor p*n**4 + 2*n**3 + 1/3*n + 1/3*n**5 + 4/3*n**2 + 0. n*(n + 1)**4/3 Let s = 40 + -36. Factor 0*p + 0*p**2 - 1/3*p**3 + 4/3*p**5 + 0 + p**s. p**3*(p + 1)*(4*p - 1)/3 Let q = 37 - 109/3. Factor q*b**4 + 8/3 - 2*b**2 - 4/3*b**3 + 8/3*b. 2*(b - 2)**2*(b + 1)**2/3 Let q be (-16)/9 - (-2 - 0). Let w be (-16)/(-7) - 10/35. Factor -q*l**w - 2/9 + 4/9*l. -2*(l - 1)**2/9 Let j(s) be the first derivative of 8*s**3/3 - 3*s**2/2 - 8. Solve j(y) = 0 for y. 0, 3/8 Suppose 14 + 9*d**3 + 2*d**4 - 6*d - 16*d**2 + 3*d**3 - 6*d = 0. Calculate d. -7, -1, 1 Let j(k) be the first derivative of k**4/5 + 56*k**3/5 + 1176*k**2/5 + 10976*k/5 - 60. Find m, given that j(m) = 0. -14 Factor 2*t**3 + 8*t**2 + 7*t + t**4 + 2 - t**5 - 2*t**4 - t**4. -(t - 2)*(t + 1)**4 Let y be (30/(-40))/(2 - (-339)/(-120)). Find q, given that -4/11*q**3 - 8/11*q - 2/11 - y*q**2 = 0. -1, -1/2 Let p(s) be the first derivative of -4*s**3 - 3*s**2/2 + 26. Factor p(m). -3*m*(4*m + 1) Let u be 886/(-232) - 44/(-11). Let y = 2/29 + u. Factor -y*c**5 - 3/2*c**3 - c**2 + 0 - 1/4*c - c**4. -c*(c + 1)**4/4 Let j = -11 + 14. Let p(t) be the first derivative of 10/3*t**j - 1 + t**2 - 4*t - 1/2*t**4 - 6/5*t**5. Find d such that p(d) = 0. -1, 2/3, 1 Let m(k) be the second derivative of k**4/3 + 2*k**3 + 20*k. Factor m(b). 4*b*(b + 3) Factor -9*h**4 - 244*h + 123*h + 121*h + 3*h**5 + 9*h**3 - 3*h**2. 3*h**2*(h - 1)**3 Let k = 43/62 + -6/31. Factor -1/2*f**4 - 1/2 + f**3 + f**2 - k*f - 1/2*f**5. -(f - 1)**2*(f + 1)**3/2 Let m = 26/15 - 14/15. Factor -6/5*s + m - 2*s**2. -2*(s + 1)*(5*s - 2)/5 Let s(z) be the third derivative of z**7/105 - z**6/30 + z**5/30 - 4*z**2. Factor s(g). 2*g**2*(g - 1)**2 Suppose -35 - 2 = -3*v - j, 5*j = 5. Let c = v - 1. Factor -2 - 3 + 15*o + 32*o**2 - 1 - c*o**2. 3*(o + 1)*(7*o - 2) What is i in -3*i + 12*i**3 + 2*i**2 + 7*i**2 + 7*i**2 + 7*i = 0? -1, -1/3, 0 Let p(a) be the second derivative of -9*a**7/70 - 11*a**6/40 - a**5/10 - 2*a**2 + 2*a. Let q(d) be the first derivative of p(d). Factor q(t). -3*t**2*(t + 1)*(9*t + 2) Let j(d) be the third derivative of -d**5/20 - 5*d**4/24 + d**3/3 + d**2 - 17*d. Factor j(i). -(i + 2)*(3*i - 1) Suppose -20*w**3 + 26*w**2 + 4*w**2 - 56*w**3 + 15*w**4 - 5*w**3 = 0. Calculate w. 0, 2/5, 5 Factor 9*g - 5*g**2 - 2*g + 10 + 0*g - 2*g. -5*(g - 2)*(g + 1) Let h be ((-3 - -1) + 0)*(-1)/6. Determine s so that 0 - s**3 + 1/3*s**4 - h*s + s**2 = 0. 0, 1 Let u(w) be the second derivative of -w + 0*w**2 + 3/4*w**4 + 0 + 3/4*w**5 - w**3. Factor u(z). 3*z*(z + 1)*(5*z - 2) Let n be 2/12*15/10. Let g(s) be the second derivative of -s - 1/6*s**3 - n*s**2 + 1/8*s**4 - 1/15*s**6 + 1/10*s**5 + 0. Factor g(a). -(a - 1)**2*(2*a + 1)**2/2 Solve -44 + o - 6*o**2 + 47 - 4*o = 0 for o. -1, 1/2 Let j(f) be the first derivative of 1/4*f**4 + 0*f**3 - f**2 + 3 + 0*f + 1/20*f**5. Let m(b) be the second derivative of j(b). Factor m(k). 3*k*(k + 2) Let k = 66 + -62. Let i(t) be the second derivative of -1/24*t**k + 0*t**3 + 0*t**2 + 1/40*t**5 + 0 - t. Let i(s) = 0. What is s? 0, 1 Let n(c) be the first derivative of -c**6/39 + 34*c**5/65 - 53*c**4/13 + 580*c**3/39 - 25*c**2 + 250*c/13 - 4. Let n(a) = 0. Calculate a. 1, 5 Let c(n) = 3*n**2 - 2. Let u be c(2). What is o in -5*o**2 - 4*o + u*o**5 - 2*o**2 - o**2 - 6*o**3 - 6*o**2 + 14*o**4 = 0? -1, -2/5, 0, 1 Let x = -7 + 5. Let y be ((-8)/(-20))/(x/(-10)). Solve -11 + 11 - 4*b - b**y - 4 = 0 for b. -2 Let t = -54 - -59. Suppose 0 + 4/7*n**4 - 4/7*n**2 - 2/7*n**t + 0*n**3 + 2/7*n = 0. Calculate n. -1, 0, 1 Let i(j) be the first derivative of -j**4/4 + j**3/6 + j**2/4 + 7. Let i(u) = 0. Calculate u. -1/2, 0, 1 Suppose 5*w - 10 = -4*o, 3*w - o - 2 = 2*w. Factor 0 + 1/2*s + 1/4*s**3 + 3/4*s**w. s*(s + 1)*(s + 2)/4 Let f(p) be the third derivative of p**8/2856 - p**7/595 - p**6/510 + p**5/85 + p**4/204 - p**3/17 - 9*p**2. Find w such that f(w) = 0. -1, 1, 3 Suppose 3*z + 22 = 5*z + 4*o, -19 = -z + 2*o. Solve z*j - 21*j**4 - 7 - 1 - 15*j**3 + 27*j**2 + 2 = 0. -1, 2/7, 1 Find n such that 0*n**3 - 1/3 - 1/3*n**4 + 0*n + 2/3*n**2 = 0. -1, 1 Let y = 5 + 14. Suppose -114*r**2 + 24 + y*r**3 + 14*r**3 - 72*r + 84*r + 45*r**4 = 0. Calculate r. -2, -2/5, 2/3, 1 Let x(c) be the third derivative of -c**5/30 + c**4/6 - 5*c**2. Factor x(l). -2*l*(l - 2) Let m(s) be the second derivative of s**4/30 - s**3/5 + 2*s**2/5 + 10*s. Suppose m(o) = 0. Calculate o. 1, 2 Let v(g) be the first derivative of -g**5/20 + g**3/12 - 17. Find n, given that v(n) = 0. -1, 0, 1 Let q(y) be the second derivative of y**6/30 + y**5/5 + y**4/3 + 7*y**2/2 + 8*y. Let i(n) be the first derivative of q(n). Find s such that i(s) = 0. -2, -1, 0 Let h(t) be the first derivative of 2*t**3/3 + 42*t**2 + 882*t - 57. Suppose h(p) = 0. Calculate p. -21 Let q(z) be the third derivative of z**6/24 - z**5/3 + 25*z**4/24 - 5*z**3/3 - 12*z**2. Factor q(l). 5*(l - 2)*(l - 1)**2 Let o(f) be the second derivative of -f**5/160 - f**4/32 + f**2/4 + 12*f. Factor o(d). -(d - 1)*(d + 2)**2/8 Let i be (70/(-24))/(3/(-4)). Let g = i + -11/3. Factor 0*k**2 + 2/3*k**5 + 0 - 4/9*k**3 - g*k**4 + 0*k. 2*k**3*(k - 1)*(3*k + 2)/9 Let t = 992/9 - 110. Factor t - 2/3*d**4 + 4/9*d**2 + 2/9*d**5 - 2/3*d + 4/9*d**3. 2*(d - 1)**4*(d + 1)/9 Let j = -1 - -5. Let -j*x**2 - 220*x + 220*x = 0. Calculate x. 0 Factor -1/4*n - 1/2 + 1/2*n**2 + 1/4*n**3. (n - 1)*(n + 1)*(n + 2)/4 What is k in -16/5*k**4 + 0*k**2 - 4/5*k**5 + 0*k - 16/5*k**3 + 0 = 0? -2, 0 Let x(t) be the first derivative of -7*t**4/22 + 4*t**3/33 + 7*t**2/11 - 4*t/11 + 6. Determine b, given that x(b) = 0. -1, 2/7, 1 Let k(g) = g**2 + 11*g + 4. Let c be k(-11). What is t in 3 + 2*t**3 - 3 + 6*t**2 - 4*t**3 - c*t = 0? 0, 1, 2 Suppose -3*k = -5*t + 10*t + 6, 0 = -2*t + 5*k + 10. Suppose 0*w**2 + 6/5*w**4 + 3/5*w**3 + t + 0*w + 3/5*w**5 = 0. What is w? -1, 0 Let h(u) = u**2 + u - 1. Let k(t) = 6*t**2 - 6*t - 2. Let w(r) = -2*h(r) + k(r). Solve w(p) = 0 for p. 0, 2 Let b(g) be the second derivative of -g**6/6 + g**5/4 + 5*g**4/4 - 5*g**3/6 - 5*g**2 + 34*g. Factor b(c). -5*(c - 2)*(c - 1)*(c + 1)**2 Let m be 9*(-4)/(-108) - (1 - 1). Let 1/3*f**2 + m - 2/3*f = 0. Calculate f. 1 Factor 0 - 4/5*a**2 + 8/5*a. -4*a*(a - 2)/5 Let c(y) be the second derivative of 7*y**6/30 + 4*y**5/5 - 2*y**4 - 32*y**3/3 - 8*y**2 - 14*y. What is j in c(j) = 0? -2, -2/7, 2 Let b(k) be the second derivative of 0 + 0*k**3 - k + 0*k**2 - 1/100*k**5 + 1/60*k**4. Factor b(l). -l**2*(l - 1)/5 Factor -6 + 3 - 3*s**2 + 6. -3*(s - 1)*(s + 1) Let g = 12 + -12. Suppose -3*s**2 + g - 1 - 2 - 6*s + 0 = 0. Calculate s. -1 Let w(l) = 9*l**3 - 33*l**2 + 24*l - 5. Let k(z) = -8*z**3 + 32*z**2 - 24*z + 4. Let v(r) = -5*k(r) - 4*w(r). Factor v(o). 4*o*(o - 6)*(o - 1) Let g(r) = 3*r**2 - 6*r + 1. Let n be g(4). Let k = n - 23. Factor -2/9*c**k - 4/9 + 2/3*c. -2*(c - 2)*(c - 1)/9 Let s(m) = m**3 + m**2 + m. Let k(c) = -c**4 + c**3 - 10*c**2 - 8*c + 8. Let b(x) = -5*k(x) - 20*s(x). Find g such that b(g) = 0. -1, 2 Suppose 13*q - 2*q**2 + 6*q**2 - 19*q + 2*q**3 = 0. What is q? -3, 0, 1 Let i(f) = -24*f**3 + 10*f**2. Suppose 7 - 1 = 2*q. Let y(o) = 4*o**2 - 5*o**3 - o**2 - o**2. Let j(m) = q*i(m) - 14*y(m). Factor j(t). -2*t**2*(t - 1) Let -18/5*j**2 + 12/5*j + 0 = 0. What is j? 0, 2/3 Suppose -290 = 3*d - 299. Factor -2/7*u**d + 2/7*u + 2/7*u**4 - 2/7*u**2 + 0. 2*u*(u - 1)**2*(u + 1)/7 Let c(i) = -3*i**2 + 3*i - 4. Let k(o) = -4*o**2 + 4*o - 4. Let j(m) = 6*c(m) - 5*k(m). Factor j(f). 2*(f - 2)*(f + 1) Let j(c) be the third derivative of c**6/540 - c**4/108 - 3*c**2. Factor j(
{ "pile_set_name": "DM Mathematics" }
? 148 Convert 2581414.8 minutes to hours. 43023.58 How many seconds are there in 909.635 minutes? 54578.1 How many millilitres are there in 6.1954 litres? 6195.4 What is 0.3704338 millennia in decades? 37.04338 How many microseconds are there in 37/5 of a millisecond? 7400 How many kilograms are there in 11/2 of a tonne? 5500 What is 13/4 of a century in months? 3900 How many millilitres are there in thirty-one halves of a litre? 15500 How many minutes are there in 49.59447 weeks? 499912.2576 What is 36.67708 millilitres in litres? 0.03667708 How many seconds are there in 1/15 of a hour? 240 What is 3/8 of a millimeter in micrometers? 375 What is nine tenths of a gram in milligrams? 900 What is 49/5 of a hour in minutes? 588 What is 3.62664 centimeters in micrometers? 36266.4 What is 7/8 of a litre in millilitres? 875 What is 34/5 of a century in months? 8160 Convert 6.790374 months to centuries. 0.005658645 What is 7.519982 micrometers in nanometers? 7519.982 How many nanograms are there in 15/4 of a microgram? 3750 How many millilitres are there in twenty-one halves of a litre? 10500 How many grams are there in 3/8 of a kilogram? 375 What is 8009.133km in millimeters? 8009133000 What is sixty-one quarters of a millennium in years? 15250 Convert 35.00744 millennia to months. 420089.28 What is 4/3 of a century in months? 1600 What is 5/8 of a meter in millimeters? 625 How many micrometers are there in 13/8 of a centimeter? 16250 What is 0.3089134 litres in millilitres? 308.9134 What is 4786.22mg in nanograms? 4786220000 What is 21/8 of a milligram in micrograms? 2625 What is 3/40 of a tonne in kilograms? 75 How many meters are there in 1.4382 kilometers? 1438.2 How many decades are there in 0.6119361 years? 0.06119361 Convert 14154.11l to millilitres. 14154110 What is 4137.071 kilograms in micrograms? 4137071000000 How many nanoseconds are there in 8.508156 milliseconds? 8508156 How many minutes are there in 53/4 of a day? 19080 Convert 192139.5ug to nanograms. 192139500 How many nanometers are there in 0.773682um? 773.682 What is 43806.78ml in litres? 43.80678 What is 588523.2 micrometers in kilometers? 0.0005885232 How many millilitres are there in 8/25 of a litre? 320 How many nanograms are there in six fifths of a microgram? 1200 What is 683.5101ml in litres? 0.6835101 Convert 8440.139ml to litres. 8.440139 What is 138.5611t in micrograms? 138561100000000 Convert 56.97353l to millilitres. 56973.53 Convert 77.3444 centimeters to nanometers. 773444000 How many micrograms are there in 1/20 of a gram? 50000 How many millilitres are there in three tenths of a litre? 300 How many millilitres are there in 3/40 of a litre? 75 What is one fifth of a second in milliseconds? 200 What is three fifths of a hour in minutes? 36 What is 1/5 of a micrometer in nanometers? 200 What is 42085.02 decades in years? 420850.2 How many nanograms are there in 974572.2mg? 974572200000 How many milligrams are there in 3/40 of a gram? 75 What is 9/10 of a meter in centimeters? 90 How many millilitres are there in 0.941248l? 941.248 What is 23/3 of a century in months? 9200 What is three tenths of a week in minutes? 3024 How many centuries are there in 0.6005678 years? 0.006005678 What is 53/4 of a litre in millilitres? 13250 What is one sixteenth of a centimeter in micrometers? 625 What is 13/4 of a litre in millilitres? 3250 How many micrometers are there in 9.356539nm? 0.009356539 What is 1800439.8 months in centuries? 1500.3665 What is 13/8 of a tonne in kilograms? 1625 How many months are there in 1/24 of a decade? 5 How many millilitres are there in one tenth of a litre? 100 What is one quarter of a tonne in kilograms? 250 How many months are there in one sixth of a century? 200 What is one quarter of a centimeter in micrometers? 2500 How many micrograms are there in 65.48236t? 65482360000000 Convert 3710.914l to millilitres. 3710914 What is 51/5 of a kilogram in grams? 10200 How many centimeters are there in 4534.598 meters? 453459.8 What is 63779.84 years in centuries? 637.7984 How many years are there in 12624.729 months? 1052.06075 What is 51.41055 litres in millilitres? 51410.55 How many meters are there in 7.791212 micrometers? 0.000007791212 What is 5/8 of a microgram in nanograms? 625 Convert 0.4614927 kilometers to micrometers. 461492700 What is 17/2 of a year in months? 102 What is 16711.23 months in decades? 139.26025 How many centimeters are there in 1/5 of a kilometer? 20000 How many micrograms are there in seven quarters of a milligram? 1750 How many milligrams are there in 11/8 of a gram? 1375 What is 2.161256l in millilitres? 2161.256 How many meters are there in 4901.245 centimeters? 49.01245 How many millennia are there in 6.13355 decades? 0.0613355 What is 49/5 of a gram in milligrams? 9800 What is 0.2819194 microseconds in seconds? 0.0000002819194 How many millilitres are there in 23289.5 litres? 23289500 How many microseconds are there in thirty-one halves of a millisecond? 15500 What is 8/25 of a kilogram in grams? 320 What is 5.507144 years in centuries? 0.05507144 How many millilitres are there in twenty-seven quarters of a litre? 6750 What is 1/10 of a litre in millilitres? 100 How many milliseconds are there in 28842.27us? 28.84227 What is twenty-one halves of a day in minutes? 15120 Convert 9635.733 weeks to days. 67450.131 What is 3012.164 kilometers in millimeters? 3012164000 What is 0.6615083 centuries in years? 66.15083 How many nanoseconds are there in 1/4 of a microsecond? 250 How many millilitres are there in one fifth of a litre? 200 What is 11/4 of a microsecond in nanoseconds? 2750 How many milligrams are there in 1/20 of a gram? 50 How many nanograms are there in 4064.252t? 4064252000000000000 What is 53240.25t in nanograms? 53240250000000000000 How many centimeters are there in 89.35233nm? 0.000008935233 What is eight fifteenths of a hour in seconds? 1920 How many centuries are there in 3/10 of a millennium? 3 What is 8571.755ug in grams? 0.008571755 How many decades are there in six fifths of a millennium? 120 Convert 9.284444um to centimeters. 0.0009284444 How many litres are there in 8768.435ml? 8.768435 What is thirteen eighths of a microgram in nanograms? 1625 How many minutes are there in 1.345295 weeks? 13560.5736 How many kilograms are there in 55.86195 milligrams? 0.00005586195 How many kilograms are there in 9/10 of a tonne? 900 What is 600385.4 weeks in seconds? 363113089920 How many microseconds are there in three eighths of a millisecond? 375 What is three eighths of a litre in millilitres? 375 How many months are there in 3/10 of a decade? 36 How many decades are there in 0.819456 months? 0.0068288 Convert 7.682751 millilitres to litres. 0.007682751 How many nanometers are there in 18.42621um? 18426.21 How many decades are there in 18/5 of a century? 36 How many grams are there in 18/5 of a kilogram? 3600 How many nanometers are there in seven halves of a micrometer? 3500 How many millimeters are there in nine tenths of a centimeter? 9 What is 0.3930512s in nanoseconds? 393051200 How many grams are there in 11/2 of a kilogram? 5500 What is one quarter of a meter in millimeters? 250 How many litres are there in 82.09651ml? 0.08209651 Convert 78.51034ng to tonnes. 0.00000000000007851034 How many grams are there in 5.566427ug? 0.000005566427 How many millilitres are there in thirty-two fifths of a litre? 6400 What is 6/25 of a litre in millilitres? 240 What is 54/5 of a litre in millilitres? 10800 Convert 62.06695 years to centuries. 0.6206695 Convert 32.74317 years to centuries. 0.3274317 What is 3/40 of a gram in micrograms? 75000 How many micrometers are there in 1/64 of a meter? 15625 What is twenty-five eighths of a millennium in years? 3125 Convert 9.436268 kilograms to milligrams. 9436268 How many litres are there in 72.81491ml? 0.07281491 What is 19/4 of a week in minutes? 47880 Convert 79269.46 millennia to months. 951233520 What is 88.49935l in millilitres? 88499.35 Convert 4.36437s to minutes. 0.0727395 How many micrograms are there in fifty-three quarters of a milligram? 13250 How many nanograms are there in twenty-seven halves of a microgram? 13500 What is 5/8 of a litre in millilitres? 625 How m
{ "pile_set_name": "DM Mathematics" }
r 17*c**2 - 2 + 2*c**3 - 5*c**k - c - 10*c**2 - c. 2*(c - 1)*(c + 1)**2 Let u(k) be the second derivative of -7*k + 1/3*k**2 - 1/15*k**5 + 0 - 4/9*k**3 + 5/18*k**4. Find i such that u(i) = 0. 1/2, 1 Suppose -2*f + 7 = 1. Let i be (-3 + 4 + f)/2. Let n(t) = 4*t**2 + 2. Let d(r) = r**3 + 4*r**2 + r + 3. Let x(y) = i*d(y) - 3*n(y). Suppose x(k) = 0. What is k? 0, 1 Let x(r) be the first derivative of -5*r**6/6 + 4*r**5 - 5*r**4 - 44. Factor x(t). -5*t**3*(t - 2)**2 Determine j, given that 11*j - 5*j - 4*j - 7*j**2 + 3*j**2 + 2*j**3 = 0. 0, 1 Let y(z) = -z - 9. Let w be y(-7). Let l = w - -4. Let 1/2*n**5 + 0*n**l - n**3 + 1/2*n + 0*n**4 + 0 = 0. What is n? -1, 0, 1 Let n = -157 - -159. Let t(u) be the third derivative of 0 + 1/300*u**5 + 0*u**3 - 1/1050*u**7 + u**n - 1/600*u**6 + 1/120*u**4 + 0*u. Solve t(h) = 0 for h. -1, 0, 1 Let q(z) be the third derivative of -z**10/302400 + 7*z**5/60 - 2*z**2. Let l(c) be the third derivative of q(c). Factor l(i). -i**4/2 Suppose 0 = -0*b + 2*b. Suppose -h + 6*h = b. Solve -3*f - f**3 - 1 + 2*f**2 - 5*f**2 + h = 0. -1 Let m(x) be the first derivative of x**5/70 - x**3/7 + 2*x**2/7 + 5*x - 4. Let u(f) be the first derivative of m(f). Factor u(k). 2*(k - 1)**2*(k + 2)/7 Let a(g) be the first derivative of -g**2 - 20*g - 4. Let k be a(-10). Factor 9*c**4 + k*c + 0 + 3*c**3 + 9*c**5 + 1/3*c**2. c**2*(3*c + 1)**3/3 What is b in 3*b**3 + 104*b + 3*b**2 - b**5 - 106*b - b**4 - 2*b**2 = 0? -2, -1, 0, 1 Let n(i) be the second derivative of -i**6/90 + i**4/18 - i**2/6 - 3*i. Factor n(j). -(j - 1)**2*(j + 1)**2/3 Let o(x) = 2*x**2 - 7*x + 10. Let l(h) = -h**2 + h - 1. Let f(r) = -4*l(r) - 4*o(r). Determine q, given that f(q) = 0. 3 Let g(b) be the first derivative of 33*b**3 - 123*b**2/2 + 15*b - 1. Let m(j) = -25*j**2 + 31*j - 4. Let s(n) = 2*g(n) + 9*m(n). Factor s(i). -3*(i - 1)*(9*i - 2) Let u(k) = 13*k**3 + 4*k**4 - 2 + 8 + 12*k - 5*k**3 + 20*k**2. Let f(r) = 13*r**4 + 23*r**3 + 61*r**2 + 35*r + 19. Let g(l) = -2*f(l) + 7*u(l). Factor g(p). 2*(p + 1)**3*(p + 2) Let v(g) be the first derivative of 0*g - 1/4*g**2 - 1/6*g**3 + 1. Factor v(x). -x*(x + 1)/2 Let n be ((-3)/(-1))/(3 + 0). Suppose 0 = 2*x - n - 7. Solve -1/3*s**2 + 0 + 0*s - 2/3*s**3 - 1/3*s**x = 0. -1, 0 Suppose -4*z + 0*r = -3*r - 65, -4*r - 60 = -4*z. Suppose j - y = 0, z = 5*j - 0*j + 5*y. Factor 0 - 1/3*o**4 + 1/3*o**j - 1/3*o**3 + 0*o + 1/3*o**5. o**2*(o - 1)**2*(o + 1)/3 Let p(y) be the second derivative of 0*y**3 - 1/2*y**2 - y + 0 - 1/180*y**5 - 1/72*y**4. Let v(z) be the first derivative of p(z). Factor v(m). -m*(m + 1)/3 Suppose 2*r + 2*t + 6 = -3*t, -2*r + t = 18. Let q = 8 + r. What is w in 4/7*w - 10/7*w**2 + q = 0? 0, 2/5 Let w(o) be the second derivative of o**6/240 - 3*o**5/40 + 9*o**4/16 - 5*o**3/6 + 6*o. Let u(x) be the second derivative of w(x). Factor u(n). 3*(n - 3)**2/2 Let z(c) be the first derivative of c**6/39 - 4*c**5/65 + 16. Find o, given that z(o) = 0. 0, 2 Let j(z) be the second derivative of -2*z**7/21 + 2*z**5/5 - 2*z**3/3 + 8*z. Suppose j(a) = 0. Calculate a. -1, 0, 1 Let p(s) be the second derivative of 2*s**6/45 - s**5/5 - 55*s. Solve p(j) = 0 for j. 0, 3 Let u(y) be the third derivative of y**8/3360 - 2*y**7/525 + y**6/50 - 4*y**5/75 + y**4/15 + 2*y**2. Factor u(i). i*(i - 2)**4/10 Let g(f) = f**3 - 13*f**2 + f - 10. Let x be g(13). Factor 2*b**2 - 6*b**5 + x*b**5 + 2*b**5 + 2*b**3 + 1 - 2 - b - b**4. -(b - 1)**2*(b + 1)**3 Let n be 2/(-3)*(-2)/(-4)*0. Let d(x) be the second derivative of 0*x**4 + 0*x**3 + 0*x**2 - 1/80*x**5 + n + 3*x. Factor d(h). -h**3/4 Let z(j) be the third derivative of j**6/360 - j**5/45 + j**4/24 + 39*j**2. Determine r, given that z(r) = 0. 0, 1, 3 Suppose 9*k**3 - 32*k + 140*k + 54 + 72*k**2 + 7*k**3 = 0. Calculate k. -3/2 Let d be (1 - (-1 - -3)) + -2. Let h(p) = -p**2 + p + 1. Let t(i) = 3*i + 1. Let k(y) = d*t(y) + 6*h(y). Factor k(n). -3*(n + 1)*(2*n - 1) Let i(p) be the first derivative of 2*p**4 + 10*p**3/3 + 3*p**2 + 2. Let k(v) = 15*v**3 + 21*v**2 + 13*v. Let h(l) = 13*i(l) - 6*k(l). Factor h(g). 2*g**2*(7*g + 2) Let r(q) be the second derivative of -1/3*q**3 - 1/18*q**4 + 2/3*q**2 - 4*q - 1/45*q**6 + 0 + 1/10*q**5. Solve r(i) = 0. -1, 1, 2 Let x(c) be the third derivative of 0*c**5 - 1/180*c**6 + 3*c**2 + 0*c**3 + 0*c**7 + 1/72*c**4 + 0*c + 0 + 1/1008*c**8. Factor x(k). k*(k - 1)**2*(k + 1)**2/3 Let j(x) be the third derivative of -x**7/42 + x**6/24 + x**5/12 - 5*x**4/24 - 19*x**2. Factor j(y). -5*y*(y - 1)**2*(y + 1) Find r such that 0 + 3*r**4 + 3/2*r + 15/2*r**3 + 6*r**2 = 0. -1, -1/2, 0 Let l(b) = 2*b**5 - 6*b**4 - 4*b**3 + 4*b**2. Let w(a) = 3*a**5 - 13*a**4 - 8*a**3 + 8*a**2. Let d(j) = -5*l(j) + 2*w(j). Factor d(h). -4*h**2*(h - 1)**2*(h + 1) Let a(x) be the third derivative of -x**8/4200 + x**7/1050 - x**5/150 + x**4/60 - x**3/6 + 7*x**2. Let f(u) be the first derivative of a(u). Factor f(o). -2*(o - 1)**3*(o + 1)/5 Let f(x) be the first derivative of -x**3/6 - x**2/8 + 19. What is b in f(b) = 0? -1/2, 0 Let g(a) be the first derivative of -a**4/5 + 4*a**3/15 + 2*a**2 + 12*a/5 - 13. Let g(n) = 0. What is n? -1, 3 Let b(x) be the third derivative of -x**6/40 + 3*x**5/10 - 3*x**4/2 + 4*x**3 + 9*x**2. Let b(p) = 0. What is p? 2 Factor -4/3*o**2 + 0*o + 2/3*o**3 + 0. 2*o**2*(o - 2)/3 Let t(i) be the first derivative of i**2 - 1/3*i**3 + i + 1/10*i**5 + 2 - 1/6*i**4. Let n(s) be the first derivative of t(s). Factor n(m). 2*(m - 1)**2*(m + 1) Let c(n) be the second derivative of -n**6/90 - 3*n**5/40 - n**4/12 - 11*n**3/6 - 3*n. Let f(y) be the second derivative of c(y). Factor f(i). -(i + 2)*(4*i + 1) Let n be (-155)/(-6) - 3/(-6). Let t = n - 26. Find x such that t*x + 1/3*x**2 - 2/3 = 0. -2, 1 Factor 10/3*z**5 + 6*z**3 + 0*z + 0 - 4/3*z**2 - 8*z**4. 2*z**2*(z - 1)**2*(5*z - 2)/3 Let a(i) = 7*i**3 - 4*i**2 + i - 4. Let j(h) = -48*h**3 + 27*h**2 - 6*h + 27. Let m = 21 + 6. Let l(f) = m*a(f) + 4*j(f). Solve l(o) = 0. -1, 0, 1 Let f(a) be the second derivative of -7*a**5/30 + 22*a**4/9 - 25*a**3/3 + 6*a**2 - 2*a. Factor f(u). -2*(u - 3)**2*(7*u - 2)/3 Let i(n) be the first derivative of -2/15*n**5 + 0*n**2 + 2/9*n**3 + 0*n**4 + 0*n + 1. Determine t, given that i(t) = 0. -1, 0, 1 Let k(w) be the first derivative of -w**6/24 + 3*w**5/40 + w**4/4 - w**3/3 + 4. Let t(u) be the third derivative of k(u). Let t(o) = 0. Calculate o. -2/5, 1 Let m(i) = i**2 - 5*i - 4. Let q be m(5). Let c = 7 + q. Factor -6*w**c + 4*w**4 - w + 5*w**5 + 4*w**2 - 2*w**5 - 4*w**5. -w*(w - 1)**4 Let n(d) be the second derivative of d**7/294 - d**6/42 + d**5/14 - 5*d**4/42 + 5*d**3/42 - d**2/14 - 10*d. Factor n(h). (h - 1)**5/7 Let p(c) be the third derivative of -c**4/24 - 5*c**3/3 + 10*c**2. Let g be p(-10). Factor 2/11*j**2 - 2/11*j + 2/11*j**3 - 2/11*j**4 + g. -2*j*(j - 1)**2*(j + 1)/11 Let n(r) be the first derivative of -r**4/44 + r**3/33 - 32. Factor n(u). -u**2*(u - 1)/11 Let l = 56 + -52. Factor 2*v**3 + 0*v + 0 - 4/3*v**2 - 2/3*v**l. -2*v**2*(v - 2)*(v - 1)/3 Factor -6*n**2 - 2*n**3 - 5*n + 10*n**3 + 8 - 5*n + 2*n - 2*n**4. -2*(n - 2)**2*(n - 1)*(n + 1) Let x(j) be the first derivative of 0*j**2 + 1/2*j**3 - 1/8*j**4 + 0*j + 8. Determine l, given that x(l) = 0. 0, 3 Let p be ((-4)/(-6))/(4/12). Let c = p + 0. Factor -o**2 - 2*o**4 - o**2 + 2*o - c*o**3 + 4*o**2. -2*o*(o - 1)*(o + 1)**2 Let h = 11 - 11. Factor 2/3*k**3 + 0*k + 2/3*k**4 + h*k**2 + 0. 2*k**3*(k + 1)/3 Let c(p) be the first derivative of p**5/50 - 2*p**4/15 + p**3/3 - 2*p**2/5 - 5*p - 2. Let t(i) be the first derivative of c(i). Let t(l) = 0. Calculate l. 1, 2 Let z be (-3 - 0) + -1 + 235/47. What is d in 1/4*d**2 + z - d = 0? 2 Let w = -54 + 56. What is o in 1/2*o - 3*o**3 - 3/2*o**5 + 0*o**w + 0 - 4*o**4 = 0? -1, 0, 1/3 Let k be 46/(-4) + (-2)/4. Let x be (-50)/4*k/5. Determine o so that -32/3*o**2 - 4/3*o - 65/3*o**3 + x*o**5 + 11/3*o**4 + 0 = 0. -1/2, -2/5, -2/9, 0, 1 Let d(n) = -n**4 + n**3 - n + 1. Let r(y) = -y**5 - 5*y**4 + 6*y**3 + 2*y**2 - 5*y + 3. Let c(i) = -4*d(i) + r(i). Factor c(u). -(u - 1)**2*(u + 1)**3 Let y(s) be the first derivative of s**6/30 + s**5/15 - s**4/6 - 2*s**3/3 - 2*s**2 - 2. Let i(b) be the second derivative of y(b). Factor i(z). 4*(z - 1)*(z + 1)**2 Solve 68/3*c**3 + 44/3*c - 20/3*c**4 - 8/3 - 28*c**2 = 0
{ "pile_set_name": "DM Mathematics" }
of sequence ol when two letters picked without replacement from lmolloololmmo? 25/156 Two letters picked without replacement from axwwwwaaaxaawwaxwa. What is prob of sequence xa? 4/51 What is prob of sequence kak when three letters picked without replacement from {k: 7, a: 6, c: 1}? 3/26 Four letters picked without replacement from glglcggclgcclco. What is prob of sequence gcll? 5/546 Calculate prob of sequence utmw when four letters picked without replacement from {w: 2, u: 7, t: 1, m: 6, d: 3}. 7/7752 Three letters picked without replacement from {l: 1, q: 11}. Give prob of sequence qlq. 1/12 Four letters picked without replacement from ttqstqqqqqtqtstqq. Give prob of sequence sqtq. 9/595 Three letters picked without replacement from {o: 3, g: 2, j: 1, e: 1}. What is prob of sequence oej? 1/70 Three letters picked without replacement from {h: 10}. Give prob of sequence hhh. 1 Three letters picked without replacement from {v: 1, h: 1, q: 1, i: 1, p: 1, c: 2}. What is prob of sequence qqi? 0 What is prob of sequence fe when two letters picked without replacement from {f: 17, e: 1}? 1/18 Two letters picked without replacement from {i: 4, e: 4, k: 6}. What is prob of sequence ii? 6/91 Three letters picked without replacement from {o: 1, j: 2, z: 6, l: 2, i: 4}. Give prob of sequence jll. 2/1365 Two letters picked without replacement from {f: 5, k: 7, a: 1}. Give prob of sequence fa. 5/156 Three letters picked without replacement from {q: 2, z: 4, g: 1}. What is prob of sequence zzg? 2/35 Three letters picked without replacement from {i: 2, z: 1, s: 1, v: 2}. Give prob of sequence iis. 1/60 What is prob of sequence qq when two letters picked without replacement from qqqqqqqqqq? 1 Calculate prob of sequence zm when two letters picked without replacement from {e: 1, d: 6, i: 4, m: 4, z: 1}. 1/60 Two letters picked without replacement from qqqlqgqqqqgqqqgqq. Give prob of sequence gl. 3/272 Four letters picked without replacement from {t: 3, b: 4, y: 2, p: 4, k: 1}. Give prob of sequence yypb. 4/3003 Two letters picked without replacement from {p: 5, r: 7, m: 1, d: 1, e: 2}. Give prob of sequence dm. 1/240 Three letters picked without replacement from {t: 5, q: 2, m: 3}. Give prob of sequence ttq. 1/18 Three letters picked without replacement from yypfep. What is prob of sequence pye? 1/30 Calculate prob of sequence jw when two letters picked without replacement from twjwjt. 2/15 Two letters picked without replacement from {d: 3, g: 3, e: 1, x: 1, h: 1, w: 2}. What is prob of sequence gh? 3/110 Two letters picked without replacement from {c: 2, k: 9}. What is prob of sequence kk? 36/55 What is prob of sequence pyy when three letters picked without replacement from pppypypppppypp? 11/364 Four letters picked without replacement from mjffjfgjgggg. What is prob of sequence jgmj? 1/396 Calculate prob of sequence uuo when three letters picked without replacement from uoouwuuwuwowu. 15/286 Three letters picked without replacement from vtvtlvtvvtelttlbz. What is prob of sequence lte? 3/680 Four letters picked without replacement from {s: 1, k: 8, l: 8}. What is prob of sequence klks? 2/255 Four letters picked without replacement from rpprp. Give prob of sequence pprp. 1/10 Three letters picked without replacement from nvvnvnfsvvvnnnn. Give prob of sequence nfv. 1/65 Two letters picked without replacement from pohssuuppesepuueospu. What is prob of sequence hs? 1/95 Two letters picked without replacement from {x: 2, e: 1, j: 1, d: 2}. Give prob of sequence xj. 1/15 Calculate prob of sequence jmj when three letters picked without replacement from {j: 3, m: 2}. 1/5 Two letters picked without replacement from cnnnlunounwuulwu. What is prob of sequence lc? 1/120 Four letters picked without replacement from ppsxxpxxhpxpspxplpex. What is prob of sequence phxe? 7/14535 Four letters picked without replacement from {n: 1, g: 2, r: 1, b: 1, k: 1, e: 2}. Give prob of sequence ekrb. 1/840 What is prob of sequence vorp when four letters picked without replacement from {p: 3, o: 1, r: 3, h: 2, v: 1}? 1/560 What is prob of sequence bxoo when four letters picked without replacement from zqqoqozodqddxdzqbo? 1/6120 What is prob of sequence bh when two letters picked without replacement from hhbbhhhbbhbbb? 7/26 Two letters picked without replacement from {f: 1, r: 3, b: 3, q: 5, o: 7}. Give prob of sequence ob. 7/114 Four letters picked without replacement from {l: 1, x: 5, w: 3, y: 2, s: 8, r: 1}. Give prob of sequence xwwy. 1/1938 Three letters picked without replacement from kkkpm. Give prob of sequence pmk. 1/20 Calculate prob of sequence mgm when three letters picked without replacement from {g: 12, m: 6}. 5/68 Three letters picked without replacement from jgbggaccag. What is prob of sequence ccb? 1/360 Calculate prob of sequence mmc when three letters picked without replacement from {s: 1, m: 3, c: 4, x: 4, i: 2}. 1/91 Two letters picked without replacement from coacggocooooggcagg. What is prob of sequence co? 4/51 Calculate prob of sequence wwvn when four letters picked without replacement from {n: 1, v: 2, x: 1, w: 1, l: 1, h: 1}. 0 What is prob of sequence uqjd when four letters picked without replacement from fjffvvqquqqudqquuvju? 1/1938 What is prob of sequence gvgg when four letters picked without replacement from {v: 4, q: 2, g: 5}? 1/33 Calculate prob of sequence rh when two letters picked without replacement from {j: 6, r: 1, h: 4}. 2/55 Calculate prob of sequence bw when two letters picked without replacement from {b: 7, w: 1, o: 2}. 7/90 Calculate prob of sequence pn when two letters picked without replacement from {n: 3, p: 8, s: 7}. 4/51 Three letters picked without replacement from rttlrrgtgrrrwrrlr. What is prob of sequence lrw? 3/680 What is prob of sequence wy when two letters picked without replacement from {w: 2, y: 3, z: 4}? 1/12 What is prob of sequence rs when two letters picked without replacement from {r: 4, w: 2, l: 2, d: 5, s: 4}? 1/17 Four letters picked without replacement from {e: 4, p: 8, z: 4}. Give prob of sequence eeee. 1/1820 Three letters picked without replacement from {u: 1, b: 1, c: 1, q: 1, z: 1}. What is prob of sequence qcb? 1/60 Calculate prob of sequence gm when two letters picked without replacement from smmshgmmjjjgmsmhjg. 1/17 What is prob of sequence wq when two letters picked without replacement from wkkwwwkwwwwwkkwwqkw? 2/57 What is prob of sequence htt when three letters picked without replacement from kkhtbzbbkt? 1/360 Two letters picked without replacement from {g: 1, l: 3, b: 1, w: 1, h: 1}. Give prob of sequence lw. 1/14 Two letters picked without replacement from {k: 3, z: 12, t: 2}. Give prob of sequence tz. 3/34 Calculate prob of sequence iii when three letters picked without replacement from {i: 3}. 1 Three letters picked without replacement from feffffffffeaff. What is prob of sequence aee? 1/1092 Three letters picked without replacement from xwbbbwxwbbbbbbwbbx. What is prob of sequence wxw? 1/136 Two letters picked without replacement from svivsvvvsvvrvrvsrrvs. What is prob of sequence ri? 1/95 Four letters picked without replacement from qqhue. Give prob of sequence qhue. 1/60 Calculate prob of sequence gvg when three letters picked without replacement from ccgcmcckpcpgpkkcpvck. 1/3420 Calculate prob of sequence fol when three letters picked without replacement from wklffowv. 1/168 Two letters picked without replacement from {q: 2, n: 6, p: 5}. Give prob of sequence pn. 5/26 What is prob of sequence ee when two letters picked without replacement from {e: 4, n: 6}? 2/15 Two letters picked without replacement from {r: 17, l: 3}. Give prob of sequence rr. 68/95 What is prob of sequence kdmx when four letters picked without replacement from kkkmdmtkx? 1/378 Two letters picked without replacement from {t: 1, s: 2, j: 1, w: 4, g: 7}. What is prob of sequence jw? 2/105 Calculate prob of sequence nydd when four letters picked without replacement from ynnnnyyydnnynddyny. 7/1530 Calculate prob of sequence www when three letters picked without replacement from {h: 3, w: 12}. 44/91 Calculate prob of sequence bz when two letters picked without replacement from bbbbzbbzwbbbbb. 11/91 Four letters picked without replacemen
{ "pile_set_name": "DM Mathematics" }