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Give i(6). -7 Let k(n) = 2*n**2 + 31*n - 13. Determine k(-16). 3 Let x(o) = o**3 - 4*o**2 - 7. Determine x(5). 18 Let j(p) = -5*p - 48. Give j(21). -153 Let b(f) = f**2 - 7*f + 3. What is b(7)? 3 Let q(n) = 3*n - 57. What is q(20)? 3 Let f(n) = -n**3 - 16*n**2 + 18*n + 25. What is f(-17)? 8 Let b(z) = z**2 - 32*z + 44. What is b(31)? 13 Let k(q) = -7*q**3 - 3*q**2 + 4. Calculate k(-3). 166 Let u(v) = -2*v**3 - v**2 - 2*v - 1. Calculate u(-1). 2 Let y(t) = -t - 13. Give y(-18). 5 Let n(p) = 2*p**3 + 7*p**2 - 8*p - 9. Give n(-4). 7 Let c(i) = -i - 20. What is c(15)? -35 Let q(l) = -37*l - 336. What is q(-9)? -3 Let o(k) = 4*k - 23. What is o(8)? 9 Let t(u) = u**2 + u + 2. Determine t(3). 14 Let v(h) = -7*h**3 - 17*h**2 + 17*h. Calculate v(1). -7 Let w(n) = -n**3 - 7*n**2 - 8*n + 6. Calculate w(-5). -4 Let d(y) = -y**2 + 31*y + 63. Calculate d(33). -3 Let m(u) = -u**2 - 3*u - 2. Determine m(3). -20 Let x(b) = 2*b - 8. Give x(0). -8 Let q(u) = u**3 + 5*u**2 + 10*u + 26. Determine q(-5). -24 Let z(m) = m**3 + 3*m**2 + 2*m + 1. Determine z(-3). -5 Let x(k) = k**2 + 5*k - 51. Calculate x(0). -51 Let w(d) = -d**3 - 10*d**2 - 16*d - 18. What is w(-8)? -18 Let r(y) = -14*y**2 + 7*y + 4. Calculate r(-1). -17 Let z(k) = k**3 + 3*k**2 + 17*k + 139. Give z(-5). 4 Let u(s) = s**3 - 7*s. Calculate u(-3). -6 Let j(x) = -x**2 - 8*x + 2. What is j(-7)? 9 Let f(n) = n**2 + 50*n + 616. What is f(-29)? 7 Let f(b) = b**3 - 27*b**2 - 27*b - 25. Give f(28). 3 Let s(q) = q**2 + 2*q - 5. Give s(-2). -5 Let g(u) = u**3 - 27*u**2 + 24*u + 31. Give g(26). -21 Let i(a) = 2*a - 10. Give i(0). -10 Let c(k) = -4*k**2 - 2*k - 1. Calculate c(-1). -3 Let m(q) = q**3 + 26*q**2 + 26*q + 34. Calculate m(-25). 9 Let h(a) = -a**2 - 6*a + 13. What is h(-6)? 13 Let j(v) = -36*v + 284. Calculate j(8). -4 Let y(w) = -w**3 + 9*w**2 - 12. Calculate y(9). -12 Let h(w) = 5*w + 4. Calculate h(-3). -11 Let i(d) = d**2 - 6*d + 6. Determine i(7). 13 Let u(a) = 13*a - 28. What is u(3)? 11 Let v(k) = -3*k**2 + 18*k - 3. Determine v(5). 12 Let v(n) = -n**2 + 36*n + 204. What is v(41)? -1 Let q(w) = -w**2 - w + 7. Give q(-4). -5 Let l(u) = 13*u - 26. Calculate l(-8). -130 Let v(t) = 16*t**3 + 7*t**2 + 6*t + 1. What is v(-1)? -14 Let t(u) = -u**2 + 16*u + 55. Give t(-3). -2 Let y(i) = -2*i - 15. Give y(2). -19 Let f(u) = -4*u - 4. What is f(-5)? 16 Let w(l) = l**2 - 7*l - 2. Calculate w(5). -12 Let z(g) = g**3 + 6*g**2 + g - 2. Determine z(-3). 22 Let y(b) = 5*b + 51. Determine y(-10). 1 Let q(x) = x**3 + 6*x**2 - 6*x - 3. Determine q(-6). 33 Let b(z) = -z**3 - z**2 + 2*z - 7. What is b(0)? -7 Let p(w) = 4*w - 51. Determine p(18). 21 Let k(g) = g**3 - 2*g**2 - 2. What is k(3)? 7 Let q(x) = 13*x + 1. Give q(-2). -25 Let b(t) = t**2 - 12*t - 120. What is b(-7)? 13 Let d(x) = -x**2 - 18*x - 30. Calculate d(-16). 2 Let j(p) = -p**3 - 6*p**2 + 5*p + 11. What is j(-7)? 25 Let q(g) = -g**3 - 5*g**2 + 20*g + 46. Give q(-7). 4 Let y(q) = q**3 - 14*q**2 + 45*q - 135. What is y(11)? -3 Let y(o) = 16*o + 2. Give y(1). 18 Let k(x) = x**2 - 51*x - 157. Determine k(54). 5 Let x(k) = -k**2 + 11*k + 4. Calculate x(12). -8 Let q(f) = -f**2 - 15*f - 21. What is q(-4)? 23 Let b(q) = q**2 - 7*q + 4. What is b(6)? -2 Let v(q) = -q**2 + 2*q + 15. What is v(4)? 7 Let v(m) = -m**3 + 38*m**2 - 3*m + 112. What is v(38)? -2 Let v(n) = 6*n - 108. Calculate v(22). 24 Let i(j) = j**3 - 53*j**2 - 110*j + 19. Calculate i(55). 19 Let j(i) = -2*i**2 + 18*i + 14. Calculate j(10). -6 Let q(c) = c**3 - 10*c**2 - 17*c + 21. Calculate q(10). -149 Let a(r) = -5*r + 5. Give a(3). -10 Let b(u) = -u**3 + 6*u**2 + 4*u - 49. Give b(4). -1 Let b(z) = 3*z**2 + 19*z - 15. What is b(-10)? 95 Let p(y) = y**2 - 16*y + 15. Calculate p(15). 0 Let a(y) = y**3 - 13*y**2 - 14*y - 8. Calculate a(14). -8 Let q(d) = d**2 - 4*d - 59. Determine q(10). 1 Let c(s) = 4*s - 7. What is c(3)? 5 Let o(t) = -t**3 + 11*t**2 - 16*t - 23. Determine o(9). -5 Let d(r) = r**3 - 10*r**2 + r - 1. What is d(10)? 9 Let b(f) = f**3 - 9*f**2 + 18*f - 12. Calculate b(6). -12 Let y(d) = 11*d - 421. Give y(39). 8 Let c(q) = -2*q**3 - 4*q**2 - q + 2. Give c(-2). 4 Let f(n) = n + 8. Give f(-5). 3 Let a(w) = w**2 + 6*w + 10. Calculate a(-4). 2 Let z(k) = -k**3 + 5*k**2 + 22*k + 6. Give z(8). -10 Let r(j) = -j - 21. Give r(-21). 0 Let a(c) = -c**2 + 7*c - 2. What is a(6)? 4 Let s(g) = -g**3 + 7*g**2 - 8*g - 2. Determine s(6). -14 Let b(k) = k**3 + 7*k**2 - 8*k + 9. Give b(-8). 9 Let f(l) = l**2 + 2*l - 11. What is f(0)? -11 Let t(b) = -7*b - 68. Determine t(-3). -47 Let j(i) = -i**2 - 2*i - 5. Calculate j(-2). -5 Let s(k) = k - 13. What is s(-3)? -16 Let o(y) = y**3 - 14*y**2 + 13*y + 11. Calculate o(13). 11 Let x(q) = q**3 - q**2 + q + 15. Calculate x(0). 15 Let z(n) = n**3 - 12*n**2 - n + 16. Calculate z(12). 4 Let c(v) = 10*v - 47. What is c(5)? 3 Let w(g) = g**2 + 9*g + 16. Calculate w(-8). 8 Let x(b) = -2*b - 2. Determine x(-8). 14 Let r(q) = -q**3 + 5*q**2 + 2*q - 27. Give r(3). -3 Let x(r) = r + 14. Calculate x(-21). -7 Let z(m) = m**3 - 12*m**2 - 87*m - 14. Give z(-5). -4 Let p(m) = -3*m**2 + m - 1. Determine p(0). -1 Let y(l) = -2*l**2 - 9*l + 20. Give y(9). -223 Let k(i) = i**2 - i - 51. What is k(8)? 5 Let n(j) = -3*j**3 - 121*j**2 + 83*j + 34. Determine n(-41). -7 Let b(k) = -k**2 + 2*k + 17. What is b(5)? 2 Let y(d) = d + 17. Give y(-15). 2 Let b(g) = -2*g**2 + 11*g + 10. Give b(-1). -3 Let i(r) = 5*r**3 + 126*r**2 + 27*r + 48. Determine i(-25). -2 Let c(w) = w**2 - 10*w + 23. What is c(5)? -2 Let w(m) = 9*m + 51. What is w(-8)? -21 Let h(t) = -t**3 - 51*t**2 + 48*t - 194. Determine h(-52). 14 Let z(l) = -l**3 - 3*l**2 + 2*l - 13. Give z(-4). -5 Let a(t) = t - 8. What is a(10)? 2 Let k(t) = 7*t + 27. Determine k(-9). -36 Let j(n) = -n**3 + n**2 + 5*n + 2. Give j(-4). 62 Let k(i) = i**3 + 11*i**2 - 14*i - 18. What is k(-12)? 6 Let o(j) = 6*j - 155. Determine o(36). 61 Let x(b) = 4*b - 74. Determine x(11). -30 Let p(w) = 9*w + 110. Determine p(-10). 20 Let x(k) = k**3 - 3*k**2 - 3*k + 6. What is x(4)? 10 Let c(j) = j**2 - 8*j - 9. Calculate c(10). 11 Let o(a) = -a**2 + 6*a + 1. Determine o(6). 1 Let d(j) = -2*j**2 + 17*j - 9. Calculate d(8). -1 Let f(g) = -5*g**2 + 2*g + 1. What is f(2)? -15 Let a(w) = -9*w - 102. Determine a(-12). 6 Let w(n) = -n**3 + 4*n**2 + 7*n + 1. Calculate w(6). -29 Let k(x) = -13*x**2 - 3*x + 7. Give k(3). -119 Let t(y) = -y**2 - 19*y + 26. What is t(-22)? -40 Let q(k) = 2*k**2 - 43*k + 130. Give q(18). 4 Let h(f) = -6*f**2 - 9*f - 12. What is h(-5)? -117 Let n(v) = -v**3 + 5*v**2 - 15*v + 80. Determine n(5). 5 Let n(r) = -r**2 + 7*r + 1. What is n(8)? -7 Let j(w) = w + 2. Determine j(6). 8 Let y(l) = -l**2 + 54. Determine y(0). 54 Let m(g) = 6*g - 9. Determine m(6). 27 Let r(k) = -11*k - 45. Determine r(-4). -1 Let t(j) = -j**3 + 5*j**2 - 3*j + 5. Determine t(3). 14 Let f(y) = 2*y + 6. Calculate f(-12). -18 Let j(k) = -k**2 - 18*k - 33. Determine j(-17). -16 Let k(h) = 6*h. Calculate k(4). 24 Let d(o) = 7*o**2 - 16*o. Calculate d(3). 15 Let y(h) = -h**3 + 10*h**2 - 11*h - 15. Determine y(10). -125 Let c(p) = 18*p**2 - 3*p + 2. Determine c(1). 17 Let h(w) = w**3 + 5*w**2 - 2. Calculate h(-4). 14 Let x(b) = b**2 + 19*b + 40. What is x(-16)? -8 Let z(q) = 3*q**3 + 12*q - 13. Give z(1). 2 Let a(q) = 2*q**3 - 3*q**2 - 2*q - 5. Calculate a(3). 16 Let l(t) = -5*t - 37. Give l(-7). -2 Let a(q) = 2*q**2 + 25*q + 73. Give a(-6). -5 Let c(p) = -14*p + 35. What is c(1)? 21 Let j(a) = a**3 + 8*a**2 - 2*a - 10. Calculate j(-8). 6 Let h(b) = -62*b - 311. Calculate h(-5). -1 Let t(c) = -4*c**3 - c - 1. Determine t(-1). 4 Let l(w) = 15*w**2 - 4*w + 4. Give l(1). 15 Let v(f) = 7*f + 14. Give v(-3). -7 Let p(c) = -27*c**2 + 3*c + 2. What is p(-1)? -28 Let s(u) = u**2 + u - 2. Determine s(-3). 4 Let d(j) = -2*j - 1. Calculate d(2). -5 Let c(o) = -o + 2. What is c(4)? -2 Let o(h) = 2*h**3 + 19*h**2 + 9*h + 4. Calculate o(-9). 4 Let z(q) = -q**2 + 7*q - 21. Give z(3). -9 Let s(f) = 2*f + 3. Determine s(3). 9 Let w(o) = 9*o - 30. Give w(4). 6 Let n(t) = t + 11. Give n(8). 19 Let c(k) = -k**3 - 12*k**2 + 13*k - 12. Calculate c(-13). -12 Let x(p) = -13*p**3 - 3*p**2 - p + 2. Determine x(-1). 13 Let k(j) = -j**3 + 6*j**2 - 5*j + 5. Give k(6). -25 Let o(c) = -7*c - 90. Dete
{ "pile_set_name": "DM Mathematics" }
3*p + 2*p = 30. Let s = i + p. Calculate the greatest common divisor of s and 20. 5 Let z(v) = v**3 - v + 3. Suppose -2*p + 2 = -4. Suppose 3*b = o + 4 - 0, p*b - 20 = 5*o. Let x be z(b). What is the highest common factor of 12 and x? 3 Suppose m + 4*b = 6*m - 122, 0 = 5*m + 5*b - 95. What is the highest common factor of 2 and m? 2 Suppose -f + 44 = -4*i - 3, -3*f + 4*i = -117. Calculate the highest common divisor of f and 14. 7 Let p be -4*21/4*1. Let n be ((-8)/(-3))/((-7)/p). Let i be 19/3 - n/(-12). Calculate the greatest common divisor of 77 and i. 7 Let r be (-7)/((-1)/(-1))*-11. Calculate the greatest common factor of 22 and r. 11 Let k = -10 - -25. Let w(r) = r**2 - 14*r. Let s be w(15). What is the greatest common factor of s and k? 15 Let h(l) = l**2 - 3*l - 6. Let g be h(-3). What is the greatest common factor of g and 4? 4 Suppose 2*y + 0*y + 2*a - 416 = 0, 0 = 3*a. Suppose y + 17 = 5*g. What is the highest common factor of 15 and g? 15 Let s(c) = 4*c**2 + 14*c - 4. Let t be s(-6). What is the highest common factor of 8 and t? 8 Let m be 48*(-3)/(-9)*6. Calculate the highest common factor of 24 and m. 24 Suppose 2*l = 3*q + 19, -3*l - l - q + 31 = 0. Calculate the greatest common divisor of 8 and l. 8 Let t be (-4)/18 + (-38)/(-9) + -2. Calculate the greatest common factor of t and 22. 2 Let b(z) = z**3 + 11*z**2 - 12*z + 10. Let r be b(-12). Calculate the greatest common factor of 70 and r. 10 Let j be (1*-3)/((-9)/24). Suppose 2*o = 6, 18 = -6*s + 2*s - 2*o. Let w be s*3/21*-28. Calculate the greatest common factor of w and j. 8 Suppose 5*s - 45 = -0*s. Let g(h) = -71*h - 2. Let v be g(-2). Suppose r + 41 = v. What is the highest common factor of r and s? 9 Suppose 7 = 5*b + 2. Let a be (-10 - -22) + (-3)/b. What is the highest common factor of a and 18? 9 Suppose 0 = -2*c - 3*t + 42, 5*c - t = t + 105. Calculate the highest common factor of 7 and c. 7 Let x(t) = -25*t + 12*t**2 + 25*t - 1. Let b be x(1). What is the greatest common factor of 88 and b? 11 Let l be (18/24)/((-1)/(-12)). Suppose 0 = 5*x - 10*x + 45. Calculate the greatest common divisor of x and l. 9 Let x(m) = -m + 11. Let q be x(5). What is the highest common factor of q and 42? 6 Suppose -32 = -3*r + 28. Suppose -l - 160 = -3*l. Calculate the greatest common divisor of r and l. 20 Let t = 14 + 142. Calculate the greatest common factor of t and 104. 52 Suppose -2*w + 7 = -5. Suppose 4*i - 3*f - 10 = -f, 0 = -i + 4*f + w. Suppose -12 = -i*r + 48. What is the greatest common factor of r and 45? 15 Suppose 2*w - 192 = -4*c, 2*w + 0*c = 3*c + 171. Suppose -a - 62 = -4*r + 7, -2*a = -r + 12. Calculate the greatest common divisor of w and r. 18 Let z be -1 + 1 + 2 + 0. Let f be (28/21)/(z/9). Calculate the highest common factor of 15 and f. 3 Let q be 18/4 + 7/14. Suppose -q = b - 47. Suppose 2*x - 12 = 4*v, -4*v = 4*x - 57 - 15. Calculate the highest common factor of x and b. 14 Let r = 217 - 72. What is the highest common factor of 29 and r? 29 Let x(n) = -24*n - 2. Let o(q) = -25*q - 2. Let y(g) = 5*o(g) - 6*x(g). Let r be y(2). Calculate the greatest common divisor of 16 and r. 8 Let j = -35 + 60. Suppose -k + 2*b - b - 4 = 0, 5*b = j. What is the greatest common divisor of k and 10? 1 Let q(x) = x**3 - 4*x**2 + 5*x - 21. Let k be q(5). Calculate the highest common factor of k and 87. 29 Let h(w) = -4*w + 10. Let z(c) = -4*c + 9. Let x(i) = -4*h(i) + 3*z(i). Let k be x(9). Calculate the highest common factor of 115 and k. 23 Let a = -77 - -269. Calculate the highest common divisor of a and 24. 24 Let k(z) = -6*z + 1. Let y be k(1). Let d(i) be the second derivative of -i**3/3 - 2*i**2 + i. Let g be d(y). Calculate the greatest common factor of g and 15. 3 Suppose 3*z + 56 = 200. Suppose w - z = -3*w. Let o = 53 - -31. Calculate the highest common factor of w and o. 12 Suppose 5*m - 400 + 25 = 0. Calculate the highest common divisor of 50 and m. 25 Let p(t) = -t**2 - 17*t - 24. Let o be p(-11). Calculate the greatest common divisor of o and 6. 6 Let r be (2 - -1) + (-1 + 35 - 4). What is the greatest common divisor of r and 3? 3 Let w(o) = 32*o**2 - 4*o + 1. Let n be w(2). Calculate the greatest common factor of n and 11. 11 Suppose -3*l + 42 = -w - 188, 4*l + 2*w = 320. Calculate the greatest common divisor of l and 52. 26 Suppose -5*s + 11 = -z, -z - 24 = -2*s - 1. Let v = -23 - z. Calculate the highest common divisor of 12 and v. 4 Let r(g) be the second derivative of -3*g**5/20 - 5*g**4/12 - 5*g**3/6 - 3*g**2 + g. Let h be r(-4). Calculate the greatest common divisor of h and 14. 14 Let o = -14 - -28. Suppose -2*p + o = -2*k, -p - k = -0*p - 9. What is the highest common divisor of p and 16? 8 Let z(o) = o**3 - o + 3. Let r be z(0). Let i be (3 - r - -3)*11. What is the highest common divisor of i and 33? 33 Let w = 250 - 154. Suppose -w = -2*z + z. What is the greatest common divisor of z and 12? 12 Let c(o) = o**3 - 10*o**2 + 2*o - 3. Let k be c(10). What is the greatest common factor of k and 85? 17 Suppose -12 = -5*h + 28. Suppose 0*w - w - 44 = -5*l, 2*w + 40 = 4*l. What is the highest common factor of h and l? 8 Suppose 0 = -4*l + 7 + 61. Let r = 1 + l. Calculate the highest common factor of 45 and r. 9 Let o be (2/(-2))/((-5)/85). Calculate the highest common divisor of o and 85. 17 Suppose -2*r = -0*r - 6. Let h(j) = j**2 + j**3 - 3*j**2 + 1 + 2. Let d be h(r). What is the highest common divisor of d and 3? 3 Let v = -1 + 33. Let p = 2 - -1. Let t be 1 + 5/(5/p). What is the highest common divisor of v and t? 4 Let f(c) = -c**2 - c + 3. Let m be f(0). Suppose w + x - m - 6 = 0, -4*w + 51 = -x. Suppose 20 + w = 4*l. What is the highest common divisor of 24 and l? 8 Suppose 3*v - 77 = 91. Calculate the greatest common divisor of v and 280. 56 Let m be 4/(-18) + 1752/108. Calculate the highest common divisor of m and 24. 8 Suppose -32 = 3*q - 8. Let m = q - -64. Calculate the highest common factor of m and 8. 8 Let o be ((-10)/(-8))/((-5)/(-240)*6). What is the greatest common factor of 50 and o? 10 Suppose 3*k = -k + 120. Suppose -6 = -3*w + k. Suppose 5 + 7 = 4*f. What is the highest common divisor of f and w? 3 Let a be 1 - -84 - 0/3. Let t(y) = 19*y + 129. Let s be t(-5). Calculate the greatest common factor of s and a. 17 Let a(d) = -22*d - 1. Let z be a(-1). Let p = 9 + -3. Let u = p + 1. Calculate the greatest common factor of z and u. 7 Let k(x) = -49*x - 1. Suppose -4*p = -9*p - 5. Let o be k(p). What is the greatest common divisor of o and 120? 24 Let r = -2 - -9. Suppose 60 = -3*w + r*w. Suppose 5*a - 7 - 23 = 0. What is the highest common divisor of a and w? 3 Let d(m) = 2*m**2 - 2*m + 2. Let j be d(2). Let t be j - 3 - 1*-2. Suppose 14 + 46 = t*x. What is the greatest common divisor of x and 12? 12 Let x(r) = r**2 + 10*r - 7. Let q be x(-11). Suppose 2*h - 69 = -q*l - h, 0 = l - 5*h - 23. What is the greatest common divisor of l and 12? 6 Let s be (-6)/4 + 105/10. Calculate the highest common divisor of 1 and s. 1 Let l be (4/6)/(1/6). Let b(y) = -y**2 - 5*y + 20. Let v be b(-7). Calculate the highest common divisor of v and l. 2 Let w(l) = -l**3 + 9*l**2 + 9*l + 5. Let y be w(10). Let q = 8 + y. What is the greatest common divisor of q and 33? 3 Suppose 42 = -8*a + 9*a. Let m = -127 + 64. Let r be (m/(-6))/(3/4). What is the highest common factor of r and a? 14 Suppose 106 = 4*a + 6. Let o = a - 15. What is the highest common factor of 10 and o? 10 Let u be (0 + 5)/(2 - 3). Let w be ((-12)/(-10))/((-1)/u). Let v = 5 + -3. Calculate the greatest common factor of w and v. 2 Let r(a) = a**2 + 4*a + 3. Let n = 1 - 0. Let g = -7 + n. Let y be r(g). Calculate the highest common factor of 45 and y. 15 Suppose -4*b - 10 = b. Let x be (8/(-3))/(b/3). Let g be (192/20)/(x/30). Calculate the greatest common factor of g and 8. 8 Let u(v) = -3*v**3 - 5*v**2 - 4*v - 2. Let b be u(-3). Let l = b + -22. What is the highest common factor of l and 72? 24 Suppose 0 = z - 6*v + 4*v - 82, -2*z + 168 = -3*v. What is the greatest common divisor of z and 10? 10 Let b be 484/12 - 2/6. Suppose 4*a - b = -4. Calculate the highest common factor of 63 and a. 9 Let u = 261 + -153. What is the greatest common divisor of u and 4? 4 Let u(d) = d**2 + d - 2. Let p be u(2)
{ "pile_set_name": "DM Mathematics" }
Let a be (-11 - 2)*(-22 - -8). Suppose 3*f = -23*f + a. Solve -n - f = -5*s - 17, 0 = s + 5*n + 28 for s. -3 Let c = 20035 - 20030. Solve -m + 1 = -2*a - 6, -c*a - 24 = 4*m for m. -1 Suppose 28 = 4*p - 18*v + 10, -3*p - 3*v = -63. Solve -5*i - 32 = -3*c, -p*c - 32 = -23*c + 3*i for c. 4 Suppose -8*k + 34*k - 2*k - 120 = 0. Solve 15 = 3*t - k*x + 7*x, -t + 2*x - 3 = 0 for t. 3 Let n(q) = 24 - 4*q - q**2 + 27 + 19 - 62. Let u be n(8). Let l = u + 90. Solve 2 - 3 = h - l*w, -3*h + 3 = -4*w for h. 5 Let h = -35 - 156. Let j = 194 + h. Solve -j*z + 0*b + 3*b = 24, 2*z + 4*b = 14 for z. -3 Let c be (6 - (-2 - -7)) + -5. Let h be c/(-10) - 120/(-75). Solve -5 = -h*q - l, q - 3*l + 5 = 18 for q. 4 Let h(g) = -194*g - 578. Let p be h(-3). Solve -14 = -p*q + 3*l, 14*q = 16*q + 2*l for q. 2 Suppose -18*i + 11 = -3*x - 13*i, x + 3*i - 15 = 0. Let t(r) = 3*r**2 - 4*r - 13. Let v be t(x). Solve 0 = 4*d - s - 7, v*d - 4*s + 2*s = 8 for d. 1 Suppose -105 = -2*r - 11. Suppose -r - 127 = -29*s. Solve 2*h - 6 = i, 28 - s = 2*h - 5*i for h. 1 Suppose -336 = -15*p - 2*y, 137*p + 3*y + 57 = 140*p. Solve 3*d = 4*b - 1 + p, 5*b = -3*d - 6 for d. 3 Let t be (1 - (2 + 2)) + 3. Suppose t = 4*q - i - 21, 2*q + 2*i = -2*i - 12. Let r be 2 - 0/q - 1*-4. Solve 3*f - r = 0, 4*a - 3*f + 6 = 3*a for a. 0 Let c be (4*(-4)/8 - -5)*1. Suppose -8 = -g - c*s, -8*g + 4*g + 17 = -3*s. Solve -5*h - 12 = -2*h + n, -5*n = -g*h - 20 for h. -4 Let x(t) = t + 7. Let n be x(-5). Let f = -525 - -777. Suppose -10*o + f = -o. Solve 0 = -n*k + 2*g + 6, -4*k - g - o = 3*g for k. -2 Let f be 4*((-60)/16 - (-1)/(-4)*-20). Solve -t - 5 = 0, -f*z + 5*t + 24 = -16 for z. 3 Let j = 7177 - 7177. Solve j = -4*b + 3*z - 1, 5*b = 39*z - 34*z for b. -1 Suppose 13*t + 121 = -334. Let n = 29 + t. Let q be n/(-1) + 0/1. Solve 3 = 2*h + 3*c, 3*h = -6*c + c + q for h. -3 Let w(h) = h**3 + 24*h**2 - 301*h - 112. Let o be w(-33). Solve 13 - 18 = -3*l + r, -4*l = 4*r + o for l. 0 Suppose 2*u + 88 = 128. Suppose u*z = -49 + 169. Solve 2*q - l + z - 3 = 0, 3*l = -q + 9 for q. 0 Let h(u) = u**2 + 181*u + 3490. Let k be h(-21). Solve -k*l + 126*l + 4*j = 0, 4*l + 3 = j for l. -1 Let s(r) = -3*r**2 + 43*r - 48. Let c be s(13). Solve 6 = -4*l + 4*z + 34, 0 = -4*l - c*z + 4 for l. 4 Suppose -420 = -9*t + 10*t + 4*y, t - 2*y = -408. Let n = t - -412. Solve 2*r - 14 = 2*i, 2*r - 6 + n = 0 for i. -4 Let s be (-7)/189*12*(-27)/6. Solve -3*g + z = -3, z - 2 = -s*g - z for g. 1 Suppose 35*h - 85 + 45 = 65. Solve -6*t + p = -10*t + 12, t - h = 5*p for t. 3 Let b = -226 - -229. Suppose 4*d = 16, 5*y + 10 = -5*d - 10. Let x = -6 - y. Solve -4*n - 6 = x*t, -t = -b*t + 3*n + 1 for t. -1 Suppose 0 = 6*w - 43 - 5. Suppose 9*f - 6 = w*f. Suppose 0 = 5*n + 4*p + f, -2*n = -5*p - 8 - 16. Solve -5*q = 4*o - 4, 3*o - n - 1 = q for o. 1 Let u be -2 + (-14)/(-6)*(8 + -5). Suppose -2*x = -u*b, -b = b. Suppose x = -2*n - 5*y + 34, -4*n + 2*y + 29 = 9. Solve j = -i - 6, -3*i + j - n = -1 for i. -3 Suppose -7*a + 12*a - 585 = 0. Suppose a = 26*y - 13. Solve 3*q = -j - q - 20, -y = j + q for j. 0 Suppose 4*v - 2*x + 7*x = 239, -4*v + 4*x + 212 = 0. Solve r = -o, -5*r = -v*o + 51*o - 20 for r. 2 Let j(m) = m**3 - 18*m**2 + 70*m - 59. Let u be j(13). Solve 4 = 4*s, 0 = -u*p + 7*p - 3*s + 2 for p. 1 Let r(p) = 2*p + 16. Let c be r(-7). Let x(a) = -10*a - 9. Let i be x(c). Let t = i - -29. Solve t = -w + 1 - 5, 2*f = 4*w + 14 for f. -1 Suppose 6*q - 25 = q, 4*q - 26 = -v. Solve -28 = 5*d + 3*u, 65*d = 66*d + u + v for d. -5 Suppose -2*n = -2, 21*x - 20*x = 4*n - 169. Let u = x + 168. Solve -u*r - 3*s + 0 = 3, -r = -s + 7 for r. -4 Let k be ((-32)/(-96)*9)/(-1 + 7/4). Solve -k*p - 9 = 5*u, 2*p - 1 = -2*u + 5*p for u. -1 Suppose 0 = 4*n + 144 - 152. Suppose n*g = 10*g - 40. Solve -j - 20 = 3*h, -3*j + h - 5 = g for j. -5 Let m be (2/(-2))/(9/(-27)). Suppose 9*v + v - 270 = 0. Solve -2 = i, 2*d + v = -m*d - i for d. -5 Let i be (-143)/(-29) - (-2)/29. Solve -3*h - q + 4 = 0, -h + 8 = 2*h + i*q for h. 1 Let l be 158 + (9 - 3 - (4 - 1)). Let w = 164 - l. Solve -5*p + w*v = v - 30, -4*p + 2*v + 26 = 0 for p. 4 Suppose 15254 + 19486 = -4*g. Let u be 4/14 - g/105. Let c = 95 - u. Solve 3 = 4*m + 2*d - 5, -c = -m + 2*d for m. 4 Let w(z) = 107*z + 2. Let h be w(0). Solve -h*a = 3*l - 17, 5*l = -7*a + 6*a + 19 for l. 3 Suppose 15*c - 13*c - 2*i = 12, 5*i + 25 = 4*c. Solve -2*y = -5*m + 5, 2*y + 3 = -4*m + c*y for m. 3 Let d(n) = 2*n**2 - 58*n + 81. Let g be (-1530)/(-54) - (-1)/(-3). Let m be d(g). Let a = 6 - 4. Solve -4*t = -2*x + 12 - 2, 0 = -a*x - 3*t - m for x. -5 Suppose 3*a + 2*f + 2 = -6, -2*f - 24 = -5*a. Solve -69*u + 73*u + 18 = r, -a*r = -4*u - 20 for u. -4 Let x be 82/246 - 10/(-6). Let z(n) = -12*n + 24. Let r be z(x). Solve -10 = -2*a - 0*a + 2*h, r = 5*h for a. 5 Suppose -2*d + 2*b + 36 = 0, d - 31*b = -27*b + 21. Solve 3*x - 11 = h, 9*x = 5*x - h + d for x. 4 Let v = -7045 + 7047. Solve -o + 4*f + 14 = 0, 13*o - 16 = 8*o + v*f for o. 2 Suppose -u = 3*t - 1, 28*t + 8*u + 32 = 24*t. Solve 4*j - l - 1 - t = 0, l + 3 = -2*j for j. 0 Suppose 0 = 7*u - 549 - 396. Let z = 141 - u. Solve 3*x + 5*a - 1 = 0, -2*a + 4*a = 2*x - z for x. 2 Suppose -m - 2*v = -5*m + 1100, 4*v = 2*m - 550. Suppose 0 = -36*x + 25*x + m. Solve -4*b + 3*b = 2*s + 9, -5*b = -4*s - x for b. 1 Let z = 26 - 24. Suppose 44*p - 43*p - z = 0. Solve -j - 3 = y - 1, 0 = -2*j + p*y + 8 for j. 1 Suppose -5*h - 22 = v, 14 = -5*v - 4*h + 3*h. Let j = v - -4. Suppose -23777*m = -23850*m + 292. Solve -j*l + 10 = -a, 0*l - m = 4*l + 4*a for l. 3 Let i be ((-882)/245)/((-4)/10). Suppose -6 = -k - 3. Suppose -3*m + 6*m = -4*o + 17, k*o + m = i. Solve 3*z + 0*z + 2*d = -15, 4*d + 10 = -o*z for z. -5 Let h(m) = -m**3 + 16*m**2 + 57*m + 12. Let u be h(19). Solve -5*w = 2*x + 25, -u = w + 3*w for x. -5 Suppose 77*h - 17 = 68 + 69. Solve h*x - 5*l - 18 = 0, 16 = 5*x + 53*l - 51*l for x. 4 Let a be 32/(-24)*6/(-4). Suppose -4*q - 10 + 2 = 3*y, -4*y - a*q + 6 = 0. Solve 4*h - 32 = y*l, 0 = 3*l - 0*l + h + 4 for l. -3 Suppose 76 = 5*n - t, 7*t - 6*t + 16 = n. Suppose -5*j - 20 = -n*j. Solve 17 = -4*s + a, 2*s + j*a + 5 + 1 = 0 for s. -4 Suppose 1 - 46 + 1 = -22*x. Solve -u - u + x*a = 2, 2*u - 28 = -4*a for u. 4 Let w = -1404 + 1418. Solve z - 3 = 2*v - 1, -5*z + 2*v - w = 0 for z. -4 Let o(u) = -u**3 + 28*u**2 - 27*u. Let a be o(27). Let w(y) = -y**3 - y + 5. Let v be w(a). Solve -k - 20 = -2*r - 8, -v*k = 4*r - 10 for r. 5 Suppose j - 33 = 5*r - 2, -5*r - 64 = -4*j. Suppose 119 - j = 4*s. Let m be s/6 + 0 - 2/(-4). Solve 28 - m = -u + 5*f, 4*u + 4*f = 28 for u. 2 Suppose b + 2*l - 185 = 0, -5*l - 409 = -5*b + 576. Let y = -177 + b. Suppose -5*f = -27 + 2. Solve -o + y = -f*j, 2*o + 8 = -0*o for j. -4 Let k(z) = z**2 - 15*z + 17. Let l(r) = -3 + 1 + 0 - 3 + 22*r. Let g be l(1). Let w be k(g). Solve -5*m + 5*y - 11 = -w, -y - 16 = -3*m for m. 4 Let z = 1 + -1. Let s be 2408/8428 + (-80)/(-14). Solve z = 5*a + 3*j + 17, -4*a - 11 = -j + s*j for a. -4 Suppose -19*y + 18*y = -5*f + 362, 3*y - 301 = -4*f. Solve 3*h - 1 = -5*j, -2*h - 5*j - 69 + f = 0 for h. -3 Suppose 3*h = 4*f - 19 + 50, f = -5*h + 90. Let v be ((-46)/(-9))/2 - (-24)/54. Solve 0 = 2*z - v*l - l + 4, -3*l + h = 2*z for z. 4 Suppose 0 = -12*v - 2154 + 2214. Solve -4*p + v*p + 3 = 0, 2*i - p + 1 = 0 for i. -2 Let i be (165/(-3))/11 + (7 - -1). Solve -l = 4*l + 5*g + 5, -i*l - g = -7 for l. 4 Suppose 2*m + 5*g + 3 = 2, 5*m - 3*g - 44 = 0. Suppose -3*l = -3, -4*t + 5*l + m = 12. Solve t = -3*v + 6, 3*n - n = 5*v - 4 for n. 3 Let t be (-17)/(-4 - -89) - (-32)/10. Solve j + v = 5*v + 3, 17 = -t*j - v for j. -5 Let s(z) = -23*z - 174. Let t be s(-9). Suppose -14*v + 20 = -4*v. Solve t = v*f - 5*g, -3*f = 2*f - 3*g - 35 for f. 4 Let s(l) = 5*l**2 + 1. Suppose o = -3*o + 20, 8 = y + 2*o. Let z be (0 + (-2)/4)*y. Let t be s(z). Solve -34 = -2*u - 4*h - 10, -2*u + 2*h = t for u. 2 Let i(s) = -54*s - 912. Let z be i(-17). Solve -18 = -5*v - j, 4*j = -7*v + z*v + 15 for v. 3 Let f(k) = -k**3 + 6*k**2 - 9*k + 8. Let y be f(4). Let c be 6*((-4)/(-3))/y. Suppose -13 - 7 = -5*r. Solve -t + c*w = -5*t + 16, r*w = 3*t - 12 for t. 4 Let w be 45/(-360)*(-368)/2. Let u(m) = m - 3. Let n be u(w). Solve -3*g = -2*o - 0*o - 10, -n = 2*g + 4*o for g. 0 Let d(
{ "pile_set_name": "DM Mathematics" }
i) = 644*i. Let r(c) = -1043*c - 62. Calculate r(n(o)). -671692*o - 62 Let x(w) be the first derivative of -2*w**3 + 2*w + 23. Let j(n) = 6*n**2 - 3. Let y(m) = -4*j(m) - 6*x(m). Let k(i) = -4*i**2. Calculate y(k(s)). 192*s**4 Let v(s) = -s**2 + 157*s - 36. Let x(c) = -108*c. What is v(x(t))? -11664*t**2 - 16956*t - 36 Let m(o) be the second derivative of 7/6*o**3 - 2 + 27*o + 0*o**2. Let v(b) = -8*b - 4 + 4 + 10*b. Calculate m(v(z)). 14*z Let q(y) = 391992*y. Let h(p) = -123*p**2. Give q(h(z)). -48215016*z**2 Let y(h) = 18. Let g(b) = 218*b + 11772. Let k(z) = 4*g(z) - 2616*y(z). Let m(i) = i. Calculate m(k(p)). 872*p Let l(n) = 37*n. Let x(f) be the second derivative of f**4/6 - 2*f + 635. What is x(l(v))? 2738*v**2 Let m(a) = 2*a. Let x(j) = 9*j + 15. Let i(c) = 5*c + 8. Let v(z) = -11*i(z) + 6*x(z). Let q(w) = w**2 - 6*w - 69. Let t(b) = q(b) - 6*v(b). What is t(m(g))? 4*g**2 - 81 Let w(o) = 4 + o - 4. Suppose 3*f = k + 6, -5*f + 4*k = -k - 10. Let l(b) = f*b - 20*b + 6*b - 10*b. Give w(l(n)). -22*n Let a(x) = -2*x**2. Let l(s) = -1958708165*s**2. Determine l(a(f)). -7834832660*f**4 Let b = 27 + -15. Let w(s) = b*s**2 + 35*s**2 + 12*s**2 - 38*s**2. Let v(i) be the first derivative of -i**3/3 + 17. Calculate v(w(y)). -441*y**4 Let d(h) = 3878594*h. Let f(y) = 41*y. Calculate d(f(z)). 159022354*z Let j(c) = 235*c**2. Let r(u) be the second derivative of 5*u**3/6 - 1729*u. Determine r(j(i)). 1175*i**2 Let s(t) = -36709*t. Let x(i) = 497*i**2. Determine s(x(m)). -18244373*m**2 Let h(l) be the third derivative of -l**5/30 + 3436*l**2. Let s(y) = -743*y. Determine h(s(p)). -1104098*p**2 Let t(n) = 2*n + 63475. Let l(r) = 4*r. Calculate t(l(u)). 8*u + 63475 Let k(u) be the first derivative of 10*u**3 - 104. Let s(n) be the first derivative of -n**2/2 - 11. Determine k(s(c)). 30*c**2 Let p(q) = 1 - 1 - 18*q. Let f(d) = 10*d - 30. Let n(u) = -11*u + 35. Let h(m) = -7*f(m) - 6*n(m). Give p(h(l)). 72*l Let s(m) = 72*m. Let d(i) = -7*i + 8503. Determine d(s(y)). -504*y + 8503 Let j(g) = 5401931*g**2. Let k(y) = 6*y. Determine j(k(w)). 194469516*w**2 Let a(v) = -2821*v**2. Let r(l) = -109003*l. Determine a(r(z)). -33518145959389*z**2 Let a(w) = 30*w. Let k = 153 + -151. Let x(z) = -17*z**2 + 7*z**2 + 6*z**k. Calculate a(x(q)). -120*q**2 Let u(f) be the third derivative of -7*f**4/24 + 11*f**3/6 - f**2 + 35. Let a(g) = 4*g - 6. Let x(w) = -11*a(w) - 6*u(w). Let c(s) = -7*s - 2. What is x(c(h))? 14*h + 4 Let y(u) = -413664*u**2. Let g(d) = 2*d**2 - 1118. Give g(y(f)). 342235809792*f**4 - 1118 Let k(q) = 109314*q**2 + 2*q - 10. Let s(j) = 4*j. What is k(s(d))? 1749024*d**2 + 8*d - 10 Let g(w) = 990315*w. Let a(c) = 3*c. Give g(a(q)). 2970945*q Let v(u) = -22384937*u**2. Let d(s) = -3*s. What is d(v(w))? 67154811*w**2 Let c(h) = -h**3 - 7*h**2 + 20*h + 7. Let d be c(-11). Let k(i) = -d + 553 + 32*i - 281. Let l(s) = 2*s**2. Calculate k(l(a)). 64*a**2 + 1 Let j(o) = 5*o**2 - 3*o**2 - 4*o**2. Suppose 47*p + 18 = 49*p. Let t(a) = -25*a + 4. Let z(c) = -52*c + 9. Let y(l) = p*t(l) - 4*z(l). Give j(y(v)). -578*v**2 Let j(x) = -6*x**2. Let p(o) = 3439737*o. What is p(j(a))? -20638422*a**2 Let p(f) be the third derivative of f**8/5040 + 13*f**5/6 - 157*f**2. Let x(v) be the third derivative of p(v). Let o(d) = -d**2 - 9*d. Give o(x(m)). -16*m**4 - 36*m**2 Let c(l) = -2*l. Let o(x) = -3*x - 43340. What is c(o(j))? 6*j + 86680 Let m(f) be the third derivative of 109*f**4/24 + 135*f**2. Let z(t) = -t**2 - 2*t - 2. Let b(k) = -k**2 - k - 1. Let d(s) = 2*b(s) - z(s). Determine m(d(w)). -109*w**2 Let a(r) = -161*r**2. Let u(h) = 7*h + 56. Let d(j) = -36*j - 294. Let b(n) = -4*d(n) - 21*u(n). Give a(b(z)). -1449*z**2 Let s(t) = -1385*t**2. Let w(h) = -1583*h**2. What is w(s(n))? -3036550175*n**4 Let l(u) = -24*u. Let o(c) = -c - 4. Let i(w) = -70 + 79 - 7*w + 9*w. Let f(d) = 4*i(d) + 9*o(d). Calculate l(f(v)). 24*v Let i(k) = -22*k + 19*k - 7*k - 8*k. Let c be 1168/(-2)*-6*(-4)/(-8). Let j(r) = 1752 + 2*r - c. Calculate j(i(d)). -36*d Let f(s) = -712*s. Let n(q) = -507*q**2 + q + 1. What is n(f(b))? -257020608*b**2 - 712*b + 1 Let s(y) = 2*y**2 - 478*y. Let q(j) = 7*j - 13431 + 13431. Calculate q(s(o)). 14*o**2 - 3346*o Let r(y) = 2*y. Let q be 14/21 - (-4 - -1 - 132/(-36)). Let p(t) be the first derivative of 13 + q*t**2 + 0*t - 16/3*t**3. Calculate p(r(s)). -64*s**2 Let q(u) = -2*u**2. Let d be (-9)/3 + -4 + (-41580)/(-5). Let m(w) = d*w - 8309*w - 378*w**2. Determine q(m(f)). -285768*f**4 Let i(z) = z. Let r(m) be the third derivative of 0*m + 3*m**3 + 0 - 1/6*m**4 + 104*m**2. Determine r(i(k)). -4*k + 18 Let y(d) = -9*d + 5. Suppose 11 = 4*r - 9. Let i be (-4)/(-2) + (-3 - 3). Let u(l) = -8*l + 4. Let q(b) = i*y(b) + r*u(b). Let o(f) = -3*f. What is o(q(a))? 12*a Let l(w) = w**2. Suppose -22*q = -37 - 7. Let h(i) be the second derivative of -14*i + 1/6*i**4 + i**3 + 0 + 0*i**q. Calculate l(h(b)). 4*b**4 + 24*b**3 + 36*b**2 Let t(z) = -10*z**2. Let a(q) = -q**2 + 310*q + 274. Give a(t(b)). -100*b**4 - 3100*b**2 + 274 Let v(a) = 2*a**2 + 69*a. Let j(c) be the first derivative of -2*c**3/3 + 1239. Give j(v(n)). -8*n**4 - 552*n**3 - 9522*n**2 Let j(v) = -v**2 - 23*v - 19*v + 42*v. Let p(q) = 424*q + 439*q - 854*q. Give j(p(m)). -81*m**2 Let b(o) = 5*o**2 + 6. Let d(c) = 9023*c - 1. Determine b(d(w)). 407072645*w**2 - 90230*w + 11 Let d(u) = -5*u. Suppose -7*z + 42 = 14*z. Let q(f) = -3*f**2 + 2*f**2 + 2*f**z + 5*f**2. Calculate d(q(n)). -30*n**2 Let a(w) be the first derivative of 0*w + 76 - 3/2*w**2. Let p(h) = -5*h. What is a(p(z))? 15*z Let n(s) be the first derivative of s**2 - 1. Let h(x) be the second derivative of -19/12*x**4 + 0 + 0*x**2 + 56*x + 0*x**3. Give h(n(z)). -76*z**2 Let w(r) = -90*r**2. Let a(m) = 2*m**2 - 11*m + 7. Let s be a(5). Let n(c) = 1094*c**s - 2187*c**2 + 1092*c**2. What is n(w(j))? -8100*j**4 Let n(x) = -197*x + 25. Let u(k) = -8378*k**2. Determine n(u(y)). 1650466*y**2 + 25 Let v = 3369 + -3367. Suppose 3*r + 5*u + 19 = 0, 5*u + 18 = -r + u. Let k(p) = r + 2180*p - v - 2174*p. Let w(n) = 10*n. Determine k(w(c)). 60*c Let i(n) be the first derivative of -220*n + 31*n**2 + 101*n + 119*n + 43. Let h(b) = 2*b**2. What is h(i(s))? 7688*s**2 Let p(c) = -17*c - 15. Let f be p(-1). Let q(y) = 17*y**2 + 9*y**2 - 41*y**f. Let a(s) = -5*s**2. What is q(a(j))? -375*j**4 Let f(v) be the first derivative of 64 - 290*v**3 + 141 + 143*v**3 - 52 + 146*v**3. Let t(x) = 29*x**2. Determine f(t(k)). -2523*k**4 Let k(g) = 5*g**2 - 14. Let q(f) = -4*f**2 + 12. Let v(w) = 6*k(w) + 7*q(w). Let z(t) be the third derivative of -101*t**4/12 - 7*t**2 - 2. What is z(v(y))? -404*y**2 Let b(k) = 85745*k**2. Let j(c) = -3848*c**2. What is b(j(v))? 1269635132480*v**4 Suppose -5*f = 4*g - 52, -2*g + 4*g - 6 = 0. Let o(k) = -k**2 - f*k**2 + 0*k**2 + 2*k**2. Let w(r) be the second derivative of -r**4/12 + 15*r. What is o(w(i))? -7*i**4 Suppose -7*r + 19 + 16 = 0. Let d(s) = -s - 2 - r + 7. Let p(v) = -16*v. What is p(d(n))? 16*n Let x(i) = -17092*i**2 - 17087*i**2 - 17096*i**2 + 51273*i**2. Let s(j) be the third derivative of j**5/30 + 5*j**3 - j**2. Calculate s(x(p)). 8*p**4 + 30 Let b = 565/58 - 268/29. Let k(f) be the first derivative of -24*f - b*f**2 + 28. Let x(t) = 2*t. Calculate x(k(h)). -2*h - 48 Let n(u) = -8*u**2. Let q = 211/7230 + 1/241. Let w(m) be the third derivative of 0*m + 0*m**3 + 0*m**4 + q*m**5 + 0 + 11*m**2. Calculate n(w(j)). -32*j**4 Let y(l) = l + 656. Let t(d) = 2*d + 1367. Let r(p) = -4*t(p) + 9*y(p). Let o(i) = 2*i**2. Calculate r(o(h)). 2*h**2 + 436 Let j(u) be the third derivative of 0*u**3 + 0 + 0*u**4 + 51*u**2 + 4/15*u**5 + 0*u. Let c(a) = -4*a**2. Determine j(c(i)). 256*i**4 Let a(l) be the first derivative of -51*l**2/2 + 3929. Let f(z) = z. Let j(q) = -q**2 - q. Let y(d) = -f(d) - j(d). Calculate y(a(k)). 2601*k**2 Suppose -562*g + 35*g - 118*g = -29*g. Let f(s) be the second derivative of 0*s**3 + 5*s + 7/6*s**4 + 0 + g*s**2. Let o(d) = 5*d**2. What is o(f(y))? 980*y**4 Let f(v) = -v**2 + 17*v - 9. Let b be f(16). Suppose -b*p + 8*p = 2. Let h(z) = 193*z**p - 398*z**2 + 201*z**2. Let w(j) = 10*j**2. Calculate w(h(l)). 160*l**4 Let w(i) = 14100*i**2. Let k(g) = -1107*g**2. What is w(k(u))? 17278830900*u**4 Let x(m) = -6*m**2 + 5*m. Le
{ "pile_set_name": "DM Mathematics" }
2*g - 5. Suppose 0 = -2*v + 4*v. Suppose w = -v*w + 4*o + 13, 0 = 2*w - 4*o - 30. Let c = 12 - w. Calculate h(c). 5 Let v(n) be the second derivative of n**3/6 - 13*n**2/2 + n + 4. What is v(15)? 2 Suppose -4 - 2 = -2*y. Let h = y - 7. Let l(m) = -m**3 - 2*m**2 + 5*m - 1. Calculate l(h). 11 Let m(o) = -3*o - 4*o + 4*o. Let d = -22 - -26. Let h be (-2)/d + 1/(-2). What is m(h)? 3 Suppose 0 = 5*s + 3*s + 40. Let n(v) = v**2 + 3*v - 6. Calculate n(s). 4 Let n(r) = r**2 - 3*r - 1. Suppose p = 4, 5*m - 2*m - p - 11 = 0. Let q = 8 - m. Let y be (-12)/(-10)*10/q. Give n(y). 3 Let a(n) = -5*n + 2. Let o(y) = 2*y - 1. Let v(l) = 6*a(l) + 14*o(l). Give v(3). -8 Let n(x) = x**2 + 4*x - 3*x + 2*x - 6. Let c be (-24)/5 - 4/20. What is n(c)? 4 Let q = 8 + -11. Let s(a) = a**3 + 2*a**2 - 2*a - 4. Let g be s(q). Let b = g + 10. Let j(d) = d**3 - 4*d**2 + 5*d - 4. What is j(b)? 2 Let k(i) = i**3 + 2*i**2 - 1. Let p(o) be the second derivative of 3*o + 1/2*o**2 + 0. Let c(v) = k(v) - p(v). What is c(-2)? -2 Let f = 10 - 12. Let x(h) = -2*h**2 - 3*h - 3. Determine x(f). -5 Let v(a) = a**3 - 6*a**2 - 3. Suppose -4*g + 6*g + 16 = 0. Let o = 14 + g. Determine v(o). -3 Let l(f) = -f**3 - 4*f**2 + 5*f + 7. Let p = 1 - -3. Suppose -p*n - 4*w = -12, w + 30 = 2*n + 9. Suppose -3*s + 25 = -n*s. Give l(s). 7 Let t be (-6)/4 + (-108)/(-24). Let f(x) = -4*x + x**3 - t - 7 + 3*x + 1. Calculate f(0). -9 Let r(c) = 0*c + 0*c**2 + c**2 + 3*c - 2*c. Suppose y = 5*k - k - 15, 5*y + 5*k = 0. Calculate r(y). 6 Let y(g) = g**2 - g - 2. Let s(d) = -d**3 + 6*d**2 + 2*d - 8. Let c be s(6). Give y(c). 10 Let g(h) = -4*h**3 - 2 + 1 - 4*h**2 + 5*h**3 - 2*h + 2. What is g(2)? -11 Let i(l) = -l**2 + 11*l + 2. Let a be ((-22)/5)/(7/(70/(-4))). Give i(a). 2 Let w(v) = -5*v - 1. Let t be 3/2*8/(-6). Let a = t + 3. Suppose -1 - a = 2*g. Calculate w(g). 4 Let o(j) = -13 - 3 + 7*j - 8*j. Calculate o(-12). -4 Suppose -3*h - 12 = -3. Let l be 7/h - 14/21. Let g(m) = m**2 + m - 3. Calculate g(l). 3 Let p(j) = j + 4. Let k(v) = v + 1. Let i(o) = 2*k(o) - p(o). Let n be i(3). Let x = n + 2. Let s(m) = -m + 3. Give s(x). 0 Let y be 16/6 + 14/(-21). Let f(r) = -6*r + 1. Calculate f(y). -11 Let j(f) = 3*f**2 - 16*f - 9. Let l be (20/16)/(2/8). Let u(n) = -2*n**2 + 8*n + 4. Let g(s) = l*u(s) + 3*j(s). Calculate g(-7). 0 Let p(l) = -l**2 + 1. Let z(d) = 10*d**3 + 2*d**2 - 1. Let c be z(-1). Let v(u) be the second derivative of -u**3/6 - 9*u**2/2 + 7*u. Let g be v(c). Give p(g). 1 Let f(w) be the first derivative of w**4/4 + w**2/2 + 3*w + 25. Give f(0). 3 Let q(u) be the first derivative of -2*u**3/3 - 3*u**2/2 + 2*u - 3. Let w(d) be the first derivative of q(d). Give w(-2). 5 Let d = 6 - 1. Let v(q) = -q**2 + 11*q + 5. Let i be v(11). Let j(a) = -1 - i*a**3 + 3*a**2 + 4*a**3 + a + 2*a**2 + 0. What is j(d)? 4 Suppose -5*a = -9*a - 4. Let c(y) = -9*y**3 + 2*y + 1. Calculate c(a). 8 Let k(u) = -u**2 + 8*u - 5. Let q(r) = -r + 6. Let w be q(8). Let o be -1 + (-4)/w - 1. Suppose -s - 3*a = o, 0 = 3*s + 4*a - 9*a - 28. Determine k(s). 7 Suppose -36*y = -32*y + 8. Let l(j) be the third derivative of -j**4/24 - j**3/6 - 2*j**2. Determine l(y). 1 Let s be (0/(-1))/(-2 - 4 - -5). Let r(j) = j. What is r(s)? 0 Suppose -2*q - 8 = -4*a + 2, -15 = 3*a. Let t = 9 + q. Let f(n) = n + 4. Let g be f(t). Let p(r) = -3*r + 1. Determine p(g). 7 Let p(b) = b - 8. Suppose -2*k = 3*f - 24, -2*k - f + 8 = -2*f. Give p(k). -2 Let d(c) be the third derivative of c**7/2520 - c**6/360 - c**5/20 + c**2. Let x(r) be the third derivative of d(r). Let w be -6*((-10)/15 + 1 + -1). Give x(w). 6 Let b(h) = -h**3 - h - 5. Let j = -47 - -47. Determine b(j). -5 Suppose -2*g + 0 + 2 = -x, -2*g - 2*x = 4. Let k(c) = c**3. Let r be k(g). Let h(o) = -o**2 - o + 4. Determine h(r). 4 Suppose 3*x + x = -4. Let u(p) = p - 1. Let y(n) = 2*n - 5. Let v(h) = -15*u(h) + 3*y(h). Let s(m) = -m. Let t(j) = x*v(j) + 6*s(j). What is t(-2)? -6 Let n(k) = -4 - 3 + 6 + k**2 - 3*k**2. What is n(-2)? -9 Let p(m) = m + 11. Let k = -24 + 18. Calculate p(k). 5 Suppose 0 = -34*m + 35*m + 2. Let r(z) = -z**3 - z - 2. Give r(m). 8 Let o(j) be the second derivative of -j**6/360 + 7*j**5/120 + j**4/8 - j**3 - j. Let f(k) be the second derivative of o(k). Give f(8). -5 Let o be (-20)/8*(-16)/10. Let q(i) = -o*i**2 + 5*i + 3 - 2*i**2 - 3*i - 2. What is q(-1)? -7 Let x be (-4)/(-3)*33/11. Let m(u) = u**3 - 3*u**2 - 5*u + 2. What is m(x)? -2 Suppose -4 = 5*v - 29. Let p(r) be the first derivative of -r**2/2 + 6*r - 1. Calculate p(v). 1 Let h(z) = 1 + z + 0*z + 15. Let y(o) = -o - 17. Let k(g) = 6*h(g) + 5*y(g). Let t be -2 + (-3 - -6) - 1. Calculate k(t). 11 Let j be (-24)/(-10) - (-3)/5. Let d(w) = 2*w**2 - 5*w - 6*w - 6 + 4*w - j*w**2. What is d(-5)? 4 Let m(f) = 1 + 6 + 2*f - 3. What is m(-3)? -2 Let o = -2 + 4. Suppose -o*p = -h - 3*p + 1, -4*h - 14 = -2*p. Let v(n) = n**2 - 2*n - 2. Determine v(h). 6 Let i(a) = a**3 + 6*a**2 - 3*a - 1. Suppose -4*r - k = -r + 13, -4*k = r - 14. Give i(r). 17 Let n(d) = 3*d + 5. Let w(t) = -7*t - 11. Let z(f) = 5*n(f) + 2*w(f). Give z(5). 8 Let k = -19 + 19. Let g(x) be the third derivative of x**4/24 - x**3/3 + x**2. Determine g(k). -2 Let z(d) = d**3 + d**2 - d. Suppose -k - 5*s - 1 - 1 = 0, 0 = -2*k + 2*s - 4. Let u be -2*(-3 - (-2 + k)). Determine z(u). -2 Suppose -5*u = -4*u - 5*v - 17, 3*u = 2*v - 1. Let w(t) = t**3 + 3*t**2 + t - 1. Calculate w(u). -4 Let v(w) = -w - 5. Let n(d) = -1. Let j(k) = 2*n(k) - v(k). Let y be (-22)/11 + 0 + 2. What is j(y)? 3 Let n(k) = k**3 + k**2 + 2*k - 4. Let u be n(0). Let j(p) be the first derivative of p**3/3 + 2*p**2 + 3*p + 1. Calculate j(u). 3 Suppose 2*c + 4 = 3*r, -c = -2*r - 2*r + 12. Let j(d) = -4*d + d + 8 + c*d. Let u = 63 + -67. Calculate j(u). 4 Let g(f) = -f**3 + 4*f**2 - f - 2. Let r be (9/(-12) + 0)*-4. Let x be g(r). Let m(b) = -3 + 4 - 4 - 5*b + b**2. Give m(x). -7 Let q be 2 - (-1 - -3)*-2. Let r(j) = j**3 - 3 + q*j**2 - 4*j + 7*j + 0*j**3. Determine r(-5). 7 Let j(r) = -r - 3. Let l(k) = k**2 - 5. Let f be l(3). Suppose -b = -f*b. What is j(b)? -3 Let g(f) = f + 3. Let j be 0 + 6 - (2 - 3). Suppose 2*m + 10 = 2*a, 3*a + m + j - 2 = 0. Give g(a). 3 Suppose 3 = r + 3*a + 4, a = -3*r + 13. Let n = -7 + r. Let p(f) be the third derivative of -f**4/24 + f**3/3 - 4*f**2. Determine p(n). 4 Let g(z) = 3*z. Let u = 8 + -5. Suppose u*l - 10 = -2*l. Give g(l). 6 Let c be -1*-2*2 - 0. Let v(x) be the first derivative of -x**3/3 + 7*x**2/2 - 4*x - 3. Give v(c). 8 Let t be (-12)/10*10/(-3). Suppose 0 = -t*a - o + 19, 2*a = 7*a - o - 17. Suppose a*m + 16 = -0*m. Let i(u) = u**3 + 3*u**2 - 5*u - 4. Determine i(m). 0 Let m(n) be the third derivative of n**4/8 + n**3/3 + 5*n**2. Suppose -6 = -2*v - 4*c, -4*c + 26 + 0 = -2*v. What is m(v)? -13 Let y(q) be the first derivative of -q**2/2 + q - 1. Determine y(1). 0 Let d(m) be the first derivative of -3*m**2/2 + 2*m + 8. Give d(-3). 11 Suppose 0 = -m - 111 + 113. Let y(h) be the first derivative of -h**4/2 + h**3 - 3*h**2/2 + 3*h - 1. Calculate y(m). -7 Let d(z) be the third derivative of -z**6/120 - z**5/60 + z**4/24 - 4*z**3/3 - 11*z**2. What is d(0)? -8 Let r(w) = -w**3 + 8*w**2 - 6*w - 7. Let l be ((-2)/4)/((-399)/98 + 4). Calculate r(l). 0 Let c(m) = -m**3 + 9*m**2 - 6*m - 3. Let l be c(8). Let w(d) = 5*d - 19*d + l*d - 7. Determine w(-5). -2 Let w(a) = -2*a**3 - 13*a**2 - 6*a + 1. Let o be w(-6). Let c(d) = 13*d**3 + 2*d**2 - 1. Determine c(o). 14 Let k(b) = 12*b + 2 - 4 - 7*b**3 + 9*b**3 + 8 - 3*b**2. Let o(a) = a**3 - 2*a**2 + 6*a + 3. Let s(f) = 4*k(f) - 9*o(f). Suppose -15 = -4*v + 5. Calculate s(v). -8 Let r(x) = 3*x**3 - 2*x**2 - 2*x - 1. Let s = -23 - -22. Give r(s). -4 Let z = 1 - 1. Let k be 2*3/(-15)*-5. Let i(u) = -2*u**2 + u - u**k + 4*u**2. What is i(z)? 0 Let u be -1 - (11 + -3)/(-2). Let n(q) = 65*q**2 + 6 + 0*q + u*q - 66*q**2. Determine n(5). -4 Let y(z) be the first derivative of 2*z + 2 + 3/2*z**2. Calculate y(2). 8 Let t(j) = -j - 7. Let h(r) = 3*r + 15. Let i(z) = 2*h(z) + 5*t(z). What is i(-4)? -9 Let n(t) = t - 7. Let d(y) = 2*y - 8. Let o(h) = -7*h**3 + 2*h**2 - 1. Let q be o(1). Let s(v) = q*d(v) + 7*n(v). Let c be (-2)/(-9) + 11/(-9). Calculate s(c). 4 Let s(k) = k**2 - 5*k + 3. Let c be s(4). Let u(v) = -v**2 + 5*v
{ "pile_set_name": "DM Mathematics" }
Let p(u) = -u**3 + 3*u**2 - 4*u + 2. Let m be p(2). Let q(n) be the first derivative of -n**3 - n**2 - 3*n + 3608. Calculate q(m). -11 Let a(r) be the third derivative of -r**5/60 + 17*r**4/24 - 4*r**3 + 2*r**2 + 11*r. Determine a(19). -62 Let s = -997 - -976. Let v(k) = 44*k + 920. Determine v(s). -4 Let s = 114 - -2. Let j(i) = -8*i + 2*i**2 + 3*i**2 + i**2 + 128 - s - 5*i**2. What is j(7)? 5 Let n(s) = -s**3 - 7*s**2 + 31*s + 12. Let u be n(-10). Let d be (-20)/(-9) + 2/(-9). Let h(c) = 2 - c - c - d*c + 5*c. What is h(u)? 4 Suppose 2*p - 9 = -s, 2*s = -p + 12 - 3. Let l(j) = 9*j**2 - 310*j - 4*j**3 + 321*j - 7 + 3*j**p + 0*j**3. Determine l(10). 3 Let y(r) = 318*r**2 - 34*r - 10. Let w(m) = -67*m**2 + 7*m + 2. Let u(p) = -19*w(p) - 4*y(p). Determine u(4). 30 Let f(z) = 8*z + 7*z + 2*z**2 + 2*z**2 - 26225 - 3*z**2 + 26216. Calculate f(-16). 7 Suppose -3*x + 3 = -2*t - 1, -4*t + 10 = 3*x. Let n(s) = -674*s**2 - 4*s + 3*s + 675*s**x + 3 + 4*s. Calculate n(-5). 13 Suppose 4 = 4*s + 4*c, 0 = 4*s - c + 20 - 19. Let o(q) = -q**2 + 2*q + 13. Determine o(s). 13 Let f(m) = -3*m + 2. Let t = 26155 + -26163. Calculate f(t). 26 Let m(b) be the first derivative of -b**3/3 + 16*b**2 - 92*b - 3020. What is m(29)? -5 Suppose -4*j = j. Suppose 3*y - 97 = -46. Let c(a) = -5 - y - 2*a**2 + a**3 + 11 + a**2. What is c(j)? -11 Let r(y) be the second derivative of y**4/12 - 3*y**3 + 11*y**2/2 + y. Determine r(17). -6 Let a(y) = y**2 + 13*y - 30. Let k be a(-14). Let f = 18 + k. Let j(t) = -13*t + 20*t + 0 - 3. What is j(f)? 11 Let t(l) be the first derivative of l**4/4 - 2*l**3 - 5*l**2 + 12*l - 5110. Determine t(8). 60 Let z(t) = t. Let d(j) = 4*j**2 - j. Let v be d(1). Let u be 4/(1*v/12). Let k be (-4 + 60/u)/(2/8). What is z(k)? -1 Let i(w) = -w - 42. Suppose 3005*r = 2989*r - 288. Give i(r). -24 Suppose 67 + 173 = -15*n. Let i(q) = 4*q - 6. What is i(n)? -70 Suppose 6*g = 4*g - 22. Let a(i) be the first derivative of i**3/3 + 6*i**2 + 3*i + 59. Let t be a(g). Let f(y) = -y**2 - 8*y + 9. What is f(t)? 9 Let z(i) = i - 11. Let w(a) be the third derivative of -a**5/60 + a**4/6 + a**3/2 - 5*a**2 + 6*a. Let q be w(6). Determine z(q). -20 Suppose 10 = -14*j + 19*j. Suppose 5*u + 2*k = 8, -u + j*k + 4 = -0. Suppose y + 5*b - 5 = u, -2*y - 5*b + 9 = 0. Let l(d) = 6*d - 1. Determine l(y). 11 Let q(v) = -v**3 + 44*v**2 - 46*v + 129. Let l be q(43). Let h(x) = 14 + 21 - 5*x - x**2 + l*x - 39 + 17*x. Calculate h(11). 7 Let d(k) = 16*k - 50*k + 28*k + 14*k + 42. What is d(-5)? 2 Let x = 1162 - 1159. Let y(f) be the second derivative of -4/3*f**x + f - 1/12*f**4 + 0 + 2*f**2. What is y(-8)? 4 Let f(u) be the second derivative of u**4/12 + 7*u**3/6 - 11*u**2/2 - 26472*u. Let q be 86/(-10) + (-4)/10. Determine f(q). 7 Let u(g) be the second derivative of g**7/840 + g**6/30 + 11*g**4/24 - 121*g**3/6 + 62*g - 2. Let r(x) be the second derivative of u(x). What is r(-12)? 11 Let v be 1/(-8)*-34 - 14/56. Let b = -22 + 40. Suppose 5*l + 2*w = -4 + 15, 0 = v*l - 3*w - b. Let z(x) = x**3 - x**2 - 4*x + 1. Calculate z(l). 7 Let i(j) = j. Let a(p) = p**2 + 10*p + 20. Let u be a(-7). Let w(f) = 5*f + 10. Let t be w(u). Calculate i(t). 5 Let a(h) = -h + 8. Let i = 359 - 371. Let s be ((-2)/(-10)*i)/((-38)/95). Calculate a(s). 2 Let r = -2798 - -2802. Let s(z) = 6 + 13*z - 9*z - 6*z - 7*z. Calculate s(r). -30 Suppose -16 = -o - 19. Let a(u) be the second derivative of 1/6*u**4 + 1/6*u**3 + 0 + 1/20*u**5 + 2*u**2 + 24*u. Calculate a(o). -8 Let z(p) = -p**2 + 27*p - 177. Let c = 5121 + -5111. Give z(c). -7 Let l(m) = -m**2 + 8*m + 4. Suppose 20*n + 1778 = 4478. Suppose 10*i + n - 215 = 0. Determine l(i). 4 Let i(f) = -4*f**3 + 16*f**2 - 14*f - 43. Let d(y) = -y**3 - 2. Let h(g) = 3*d(g) - i(g). Calculate h(15). 22 Let q(k) be the third derivative of -17*k**4/8 + 65*k**3/3 - k**2 + 2*k + 1908. Calculate q(2). 28 Let y(l) = -2*l + l - l**2 - 1 + 2*l. Let a(s) = -2*s**2 + 2*s - 6. Suppose -4*w = -h - 17, 5*h - 4*h + 21 = 5*w. Let t(r) = h*a(r) + 3*y(r). Give t(0). 3 Let o(m) = 2*m - 19. Suppose -20 = 5*z, 3*v + z - 43 = 2*z. Suppose 10 = -x - 5*u + 43, -x - u + v = 0. What is o(x)? -3 Let p(u) be the third derivative of -5*u**4/6 + 55*u**3/3 - 2*u**2 + 920*u. Determine p(5). 10 Let u(z) = -34*z**2 - 5*z - 196. Let f(j) = 136*j**2 + 21*j + 880. Let l(r) = -2*f(r) - 9*u(r). What is l(-2)? 134 Suppose -15 - 5 = -4*k. Let h(p) = 13*p - 3. Let w(b) = -5*b. Let f(i) = -36*i + 107. Let q be f(3). Let x(z) = q*h(z) - 2*w(z). Give x(k). -12 Let a(x) = -7*x**2 + 14*x + 61. Let k(z) = z**2 + z. Let h(f) = a(f) + 6*k(f). Let o be h(23). Let t(b) = 2*b + 7. What is t(o)? -9 Let w(h) = h**3 - 6*h**2 + 7*h - 9. Let o(b) = 28 - 27*b + 10 - 6 + 27. Let i be o(2). Give w(i). 1 Let d(r) = -r**3 - 18*r**2 + 15*r - 70. Suppose -11*b = 153 + 56. Give d(b). 6 Let q(z) = 5*z**2 + 2*z - 53. Let c(w) = -11*w**2 - 4*w + 120. Let l(i) = -4*c(i) - 9*q(i). Suppose 4*x + x + 25 = 0. Determine l(x). -18 Suppose 0 = -f + 2*f. Suppose -2*d - 10 = 0, -23 = -3*m + 5*d + 8. Let n(u) = 16 - m - 8 + 1 + u. What is n(f)? 7 Let m(t) = -7*t + 2. Let p = -148 + 103. Let z = 45 + p. Let s be m(z). Let w(d) = -3*d**2 + 2*d. What is w(s)? -8 Let u(c) = 7*c + 10. Let y(q) = 6*q + 9. Let k(j) = 5*u(j) - 6*y(j). Suppose 0*i + 44 = 3*i + 4*o, -2*i + 52 = -3*o. Suppose -i*f = -2*f - 3*f. What is k(f)? -4 Let z(l) = 20*l - 7. Suppose -67*q - 21 = -0 - 155. Calculate z(q). 33 Let g(r) = 48*r + 93. Let x(d) = -d**2 + 86*d - 87. Let v be x(1). Determine g(v). -3 Let x(h) = h. Let u = 5 - -8. Suppose -18*o + 25 = -u*o. Suppose 0 = 4*a + 1 - o. Calculate x(a). 1 Let f(z) = z - 3. Let q be f(-2). Let u(x) be the first derivative of 2*x + 1/2*x**2 - 118. Give u(q). -3 Let g(t) = -21*t**3 - 4*t**2 - 30*t + 46. Let b(v) = -2*v**3 - 2*v**2 - v. Let r(q) = 10*b(q) - g(q). Calculate r(14). -158 Let b(u) = -u**3 + 10*u**2 - 30*u + 63. Let s be b(7). Let j(h) = -8 - 36*h**3 + 2*h**2 + 2*h + 18*h**3 - h**2 + 17*h**3. What is j(s)? -8 Let o(u) = 0*u + 1 + 0 + 0*u**2 - 5*u**2 + u. Let y = -2086 + 2084. What is o(y)? -21 Let x(s) = -s**3 + 2*s**2 - 1. Suppose 0 = 4*n - 6*n + r + 11, -4*r = -4*n + 32. Suppose 2*p - p = -n*g - 1, 3 = -3*p - g. What is x(p)? 2 Let p(x) = x + 5. Let s(q) = -q**3 + 19*q**2 - 3*q - 3. Let w be s(19). Let o = 60 + w. Suppose o = 4*j - 2 + 2. Determine p(j). 5 Let d = 3616 + -86783/24. Let q(i) be the third derivative of 0 - 25*i**2 - 3/2*i**3 - d*i**4 + 0*i. Give q(-6). -3 Let x(m) = 15*m + 18. Let g be x(16). Let c be (-2)/9 - g/54. Let a(d) = d**2 + 4*d + 3. Calculate a(c). 8 Let u = 9346 + -9327. Let h(x) = 3*x - 41. What is h(u)? 16 Let x(d) = -d. Let y(i) = 7*i - 5. Let o(h) = 4*x(h) + y(h). Suppose 10*n + 13*n = 161. Let z be (-1 - (-70)/n) + -5. Calculate o(z). 7 Let f = 39613 - 39611. Suppose -5*n = -4*x + 4, -3*n - 4 = -4*x - 0*x. Let p(b) = 0 - x + b + 2*b - 1. Give p(f). 4 Suppose 0 = -5*k - 1230 + 1195. Let r(w) = -11*w - 18. Let m(d) = 7*d + 12. Let g(i) = -8*m(i) - 5*r(i). Calculate g(k). 1 Suppose 0 = -3*k + 4*k - 4. Let y(p) = -5*p - k + 2 - 10*p + 23*p. Determine y(2). 14 Suppose -66*v + 371 = -119*v. Let u(q) = q**3 + 8*q**2 + 2*q - 8. Give u(v). 27 Let a(t) be the second derivative of -t**4/12 - t**3/6 + 403*t + 1. Suppose -4*g + 4 = -2*g - 3*f, g + 3 = -f. Give a(g). 0 Let t(g) = 1 - 3 + 0 - 6*g**2 - 6*g**2 + g**3 + 8*g**2. Let x(v) = -v + 13. Let o be x(9). Calculate t(o). -2 Let t(z) = -4*z + 5. Let p be t(0). Let c(o) = -o**2 - 562*o**3 + o - 4 + p + 533*o**3. What is c(-1)? 28 Let o(q) = 5*q - 91. Let b be (34/(-5))/(-9*(-68)/(-1530)). Give o(b). -6 Let z(x) = 9*x**2 + 72*x - 33. Let d(w) = -4*w**2 - 35*w + 16. Let a(l) = -5*d(l) - 2*z(l). Let f be a(-16). Let b(r) = r**2 + 2. What is b(f)? 6 Suppose -4*y - a - 3 = 0, 4*y - 3 - 12 = 5*a. Suppose y = 12*m - 8*m - 16. Let p(s) = -5*s + 23. What is p(m)? 3 Let k(p) = -17*p**3 + 4*p**2 + 19*p + 11. Let h(c) = 37*c**3 - 8*c**2 - 41*c - 24. Let g(q) = -6*h(q) - 13*k(q). Determine g(-6). 79 Let n(a) = a**3 + 15*a**2 + 4*a + 67. Suppose 2*z + 231 = 247, -2*z + 61 = -3*o. Calculate n(o). 7 Let m(p) be the third derivative of p**4/24 + 7*p**3 - 769*p**2. Determine m(-27). 15 Let w(l) = 1558*l - 6231. Let s be w(4). Let o(d) = 209*d - 209. Determine o(s). 0 Let l =
{ "pile_set_name": "DM Mathematics" }
rue Suppose 4005963 + 750878 = 58*n - 13146773. Is n a composite number? True Let r = 573 - -192. Suppose -3295 = -5*u - 5*l + r, 3*u + 4*l = 2441. Is u a composite number? True Let i(j) = -59*j**3 - 57*j**2 - 721*j - 60. Is i(-21) a composite number? True Let v(f) = 3125*f**2 + 14*f - 2. Is v(-1) a prime number? True Let r(u) be the second derivative of u**5/4 - 7*u**4/6 + 11*u**3/3 + u**2/2 - 9*u. Is r(10) composite? False Let i(d) = 4*d**2 + 4. Let t be i(2). Suppose -13*g - 9730 = -t*g. Is g/4 + 1/(-2) a composite number? False Suppose -13*k + 12*k + 8 = 0. Suppose -2*b = -5*v + 12, v - 5*b + k = -8. Suppose 3*y + 142 = 2*p, p - 179 = -2*p - v*y. Is p a composite number? True Suppose -19*t - 10*t + 7*t = 0. Suppose -4*l + 3*s + 36136 = t, 6*s - 5*s + 4 = 0. Is l composite? True Let y be (-3)/9 - (-1983)/9. Let n = -2067 - -2070. Suppose n*i - y = 29. Is i a prime number? True Let l(k) = -k**2 + 12*k - 32. Let m be l(8). Let z(s) = 2*s**2 - s - 2593. Let w be z(m). Let g = w - -4746. Is g a composite number? False Let h(a) = -66*a**3 - 23*a**2 - 34*a + 34. Is h(-11) a composite number? True Let c = -2090 - -3240. Suppose -4*z + c = 3*r, 827 - 60 = 2*r + 3*z. Is r a composite number? True Let k = 554 - 2067. Suppose -3*j = 2*j + 2730. Let v = j - k. Is v composite? False Let k(n) = -47367*n - 857. Is k(-18) a prime number? True Is 3/(-3)*(-162 - 37331) composite? False Let t = 401 - -2590. Is t a prime number? False Suppose 8591875 = 65*d - 1688508 + 254588. Is d prime? True Suppose 0 = 6*q - q - 5. Let j be q/(1*(-2)/(-9414)). Suppose 5*b + j = 17222. Is b prime? True Suppose -4*h + 128 = -6*h. Let i = -60 - h. Suppose 4*f - 1210 = -5*p, 3*p - p = -i*f + 1216. Is f a composite number? True Let s(f) = -35*f**2 - 78*f - 22. Let m(p) = -36*p**2 - 80*p - 21. Let i(a) = -3*m(a) + 2*s(a). Is i(-21) a composite number? False Let i = 416667 + -142308. Is i a prime number? False Let b be 5*-1 + -14*(-12)/42. Is ((-7)/(21/(-5730)))/(b - -3) prime? False Let j(o) = 13*o**2 - 15*o + 23. Let r(w) = w**2. Let l(g) = j(g) + 4*r(g). Is l(12) prime? False Is (-3 + 376854/348)*198 - (-18)/261 a composite number? True Let y(r) = 40*r**2 - 35*r - 211. Let c be y(-39). Let t = -37407 + c. Is t prime? False Let q(o) = -o**3 + 31*o**2 - 32*o + 62. Let x be q(30). Let h be 1/2 - (-2)/4. Suppose -3*f + 5 = -h, a + x*f = 747. Is a a prime number? True Let j be (10 - 5) + 0 + 0. Suppose -5215 = -4*d + j*s, -2*d = -5*s + 1544 - 4139. Suppose 5*f + d = 5*l, 3*l + 4*f - 794 = -f. Is l a composite number? False Let n(y) = -105*y**2 + 8*y - 3. Let d be (8 - 3)/((-2)/(-2)). Let f(j) = 52*j**2 - 4*j + 1. Let l(q) = d*f(q) + 2*n(q). Is l(3) a prime number? False Suppose 4*i - 44 - 100 = 0. Let d be (-14)/(-49) + (-1)/((-21)/i). Suppose 2*v + 0*v = 10, z + d*v - 149 = 0. Is z a prime number? True Suppose 0 = 5*d - 10, d = -4*n - 3*d + 52. Suppose 4*f + 3 = n. Is (27/18)/(f/724) prime? False Let u = -15 - -23. Is ((-17882)/u)/(2/(-8)) composite? False Let k = 466257 - 100952. Is k a composite number? True Suppose 4*o - 2*r = 0, -r = 5*o - 0*r. Let d be ((-1 - 0) + 0)*o. Suppose -2*q = -5*c + 1971, d*q = c + q - 390. Is c composite? True Let n(j) be the second derivative of 665*j**3/6 - 11*j**2/2 + 21*j. Is n(2) a prime number? True Suppose 2*x - 2882 = -4*m, -m + 3*m = -3*x + 1447. Let a = m + -272. Suppose 4*w - w - a = 0. Is w a prime number? True Suppose -7*b + 5*b - 5*b + 5491241 = 0. Is b a prime number? True Suppose -44*z + 37563 = 5*g - 48*z, -7530 = -g - 5*z. Let o = g + -5078. Is o prime? True Suppose 36*t = 2119755 + 1311441. Is t composite? False Let h = -31437 - -12324. Let g = -10136 - h. Is g a composite number? True Is 539441/4 + (-297)/(-396) prime? False Let k be (-5)/2*24/60. Let y be (-2 - -3)*2/k. Is 1/((-6)/471*y/4) a composite number? False Let b(c) = -c**2 + 23*c + 26. Let h be b(23). Suppose 0 = 4*v + 2*o - h, -v + 5 + 3 = o. Is (-5)/2*-1678*v/25 prime? True Suppose -3*i = 11*i - 126. Suppose 0 = -4*w + i*w - 35045. Is w prime? False Suppose 4*i - 648 = -2*b, -5*i - 648 = 2*b - 4*b. Let h(m) = 6*m - 168. Let g be h(46). Suppose b = 2*v - 5*t + g, v + 3*t = 97. Is v a composite number? False Is ((-250782)/5 - -1)/(1043/(-5215)) a prime number? True Let r(v) = 42195*v + 328. Is r(1) a composite number? True Is 177950 - (-1)/(-3)*-33 a prime number? False Suppose 0 = 5*h - 5*x - 1165, 3*x - 470 = -2*h + 4*x. Suppose h*j + 7582 = 239*j. Is j a composite number? True Suppose -3*b - 5*j + 22221 = 0, -3*j = -2*b + 17303 - 2451. Is b prime? True Let x be (4 - 13) + (-2 - (0 + -5)). Let j(d) = -2223*d + 43. Is j(x) prime? True Let g(m) = 20*m**2 - 2*m + 29. Let y(q) = 7*q**2 - q + 10. Let l(h) = 6*g(h) - 17*y(h). Let a be l(-4). Suppose a = -x + 367 + 790. Is x composite? True Suppose -21*n + 206125 = 4*n. Let g = 17444 - n. Is g prime? True Let y be ((-129)/(-9))/((-6)/108). Let d = -116 - y. Is d a prime number? False Let s(q) = q**3 + 11*q**2 - 10*q + 28. Let z be s(-12). Suppose -639 = -5*f - z*c, -126 = -f - 10*c + 11*c. Is f a composite number? False Let o(r) = 6*r - 32. Let q be o(4). Is 6 + -6 - (q + -8343) composite? True Suppose -2146*b + 2165*b = 3863669. Is b prime? True Let t = -2296644 + 3528815. Is t a prime number? True Let i(g) = -g**3 - g**2 + 1. Let p(w) = 32*w**3 + 6*w**2 + 7*w - 1. Let n(o) = -i(o) - p(o). Is n(-5) a composite number? True Let x = -593309 - -1008166. Is x composite? False Let k(i) = -7703*i**3 + 15*i**2 + 15*i - 3. Is k(-2) a prime number? True Let d(b) = -b**3 - b**2 - 7*b + 2221. Let k be d(0). Suppose -s - 38231 = -m + k, 0 = -m - 3*s + 40456. Is m a prime number? False Let d(z) = 174*z**3 + z**2 + z + 29. Is d(8) a prime number? True Suppose -26*h - 1581321 = -29*h + 4*i, 4*h - 2108252 = -24*i. Is h a composite number? False Suppose 774*s - 778*s = -12. Suppose 2*j = 2*a + 17714, 5*a - 44305 = -s*j - 2*j. Is j prime? False Let n = -601 + 729. Is 160/n - 125806/(-8) prime? True Let i be (-3 - (-963)/12)/((-15)/(-40)). Suppose -r + 198 = n, r = 5*n + i + 16. Suppose 0 = 2*u + 3*a - 499, a = u - r - 50. Is u a prime number? True Let o be (5 - 5710)/(0 + -1). Suppose -167*j + o = -162*j. Is j a prime number? False Let p(w) = -w + 5. Let a be p(-3). Suppose a*t = 189850 + 66030. Is t a prime number? False Let d(k) = -4*k - 47. Let b(y) = 9*y + 94. Let i(z) = -3*b(z) - 5*d(z). Let o be i(-22). Let t = o + 362. Is t a prime number? False Let w(v) = -v**3 - 19*v**2 + 21*v + 30. Let k be w(-20). Is -3*(-32931)/45 - 4/k composite? True Suppose 0 = 20*a + 56609 + 66801 - 443710. Is a a prime number? False Suppose -588*d + 584*d = -124. Suppose -d*g + 71453 = -69318. Is g a composite number? True Is (2*3/6)/((-25)/(-146275)) a prime number? True Suppose 0 = 3*v - 8*v + 100. Let b(g) = 3*g**2 - 6*g - 28. Let d be b(v). Is d/5 - (3/(-5) - 0) composite? False Let i = 60 + -56. Suppose -5*r + 2 = -2*a, i*r - r - 4*a = 4. Suppose r = 5*v - 6*v + 1261. Is v a composite number? True Let n = -45 + 69. Let b(a) = 16*a**2 - 26*a - 74. Is b(n) a prime number? False Let b(p) = -11*p**3 + 5*p - 4. Let f be b(1). Is (-16)/40*f - (1 - 1358) a prime number? True Suppose -c = -3*a - 29454, -2*c - 5*a = -a - 58878. Suppose -132*j + 127*j - c = 0. Let i = j + 11056. Is i composite? False Suppose 3*n - 836087 = 936*i - 940*i, -3 = -3*n. Is i a prime number? True Let q be 6*(3 + 30/(-12)). Suppose 18*y = 16*y + 4, 0 = -2*h - q*y + 17212. Is h a prime number? False Let q be 1/(-8 - (-89)/11). Suppose -79526 = -23*x - q*x. Is x a prime number? True Suppose 19*u = 289*u - 56971890. Is u a composite number? False Suppose 0 = -3*a - 3*s + 689223, 3*a - 105*s = -101*s + 689223. Is a a prime number? False Let z = -57 + 61. Suppose -8037 = -z*p - 1889. Is p a prime number? False Let r(k) = -k**3 + 5*k**2 + 12*k + 7. Suppose -2*s + 5*l = -0*l + 7, 0 = 2*s - 3*l + 9. Is r(s) a composite number? False Suppose 5*z - 495405 = 5*s, -2*z + 198148 = 4*s + s. Is z a prime number? True Let f = 136718 + 265221. Is f composite? False Let d be (-13 - (-66)/6)/(1 - 2). Suppose -d*g + 1769 = -737. Is g a composite number? True Suppose -10*u - 8*u = -1013994. Is u a composite number? False Let o(g) = -329*g - 474. Let z(c) = -17*c + 21. Let n be z(2). Is o(n) prime? True
{ "pile_set_name": "DM Mathematics" }
(-20))/((-1)/f) prime? True Let l(q) = -15*q + 1. Suppose 5*w - 8 = 22. Let o(r) = r**3 - 7*r**2 + 6*r - 6. Let h be o(w). Is l(h) prime? False Suppose 0 = 4*d + b - 62, 6*b - 4*b = 4*d - 56. Suppose 10 = s - d. Suppose 2*p - 183 = -s. Is p a prime number? True Suppose 16*m - 231 = 13*m. Is m prime? False Let r(q) = -q**2 + 4*q + 11. Let u be r(6). Is (4*13 - u)*1 a prime number? True Suppose 5*l - 107 = -j, 7*l + 301 = 3*j + 2*l. Suppose -102 = -3*k - 5*f, -f - j = -3*k - 2*f. Is k composite? True Let i = 201 - 118. Is i a prime number? True Is (-27695)/(-35) + 0 + (-4)/14 prime? False Suppose r + 0*r + 2*g - 13 = 0, -5*g + 34 = 3*r. Let b(t) = t**2 - 3*t - 4. Let o be b(r). Is (-36)/6*46/o composite? True Suppose 4*n - 639 = 1813. Is n a prime number? True Suppose 4*x - 2*i - 5 = 21, 4*i = 5*x - 34. Let w be ((-4)/3)/(10/(-15)). Suppose -d - l + 28 = -x*l, -l - 101 = -w*d. Is d prime? True Let w be (-3)/(-12) + (-7)/(-4). Suppose 3*y = 7*y. Suppose w*n - 4*n + 178 = y. Is n a prime number? True Let f(x) be the second derivative of x**3/6 - x**2 + 2*x. Let i be f(8). Let w = 27 - i. Is w a prime number? False Suppose 4*a - 4*u - u + 5 = 0, 3*a + 4*u = 4. Suppose -4*b + g - 16 = -3*g, a = g - 2. Is b*(170/(-4) - -1) a composite number? False Suppose -3*b - 3*q = -1356, 5*b - 3*q = 436 + 1864. Is b composite? False Suppose z + 2*z = -9. Let h(c) = 20*c**2 - c + 2. Is h(z) prime? False Is 62472/36 + (-2)/6 a composite number? True Suppose 9*v + 3 = 6*v. Let x(h) = 156*h**2 + 2*h + 1. Is x(v) a composite number? True Suppose 10*j - 5*j + 2805 = 0. Let a = j + 1010. Is a composite? False Let n = 157 + -108. Is n a composite number? True Let y(t) = -160*t**3 - 2*t**2 - 2*t - 1. Let c be y(-1). Let w = c - 97. Is w composite? True Let t(d) = -d**3 + 4*d**2 + 2*d + 6. Let g be (-24)/(-40) + (-22)/(-5). Let p be t(g). Is ((-382)/6)/(3/p) a prime number? True Suppose -2*t - 2*f = -8, -4*t = -0*f - f - 11. Let p = -1 + t. Suppose -s - p*s = -5*g + 260, g - 5*s = 30. Is g prime? False Suppose 3*n + 2*n - 25 = 0. Suppose -2*d + 4 = -d - 5*w, -d - n*w = -4. Suppose 2*i + 218 = d*i. Is i a prime number? True Let q(m) = 5*m**2 + m - 2. Let z be q(3). Suppose -z = 2*h - 492. Is h a composite number? False Let l be (-355)/(-7) + (-4)/(-14). Suppose 3*j - 3*x - 60 = 0, -5*j + 9 = 3*x - l. Let c = 46 - j. Is c prime? True Suppose 2*d + l - 197 = -2*l, 0 = -5*d + 2*l + 521. Let w = d + -50. Is w composite? False Is (-1)/(3 - 1010/335) a composite number? False Suppose -3 = 4*m - 0*m + 5*a, -4*a = -3*m + 21. Suppose 0 = 2*v + m*v - 110. Is v prime? False Suppose -2*k + 2*x - 158 = 0, 4*k + 0*x + 310 = x. Let q = 244 - 100. Let i = k + q. Is i prime? True Suppose 0 = -m + 3*m. Let z(t) = -t + 13. Is z(m) a composite number? False Let a = -82 - -227. Is a a prime number? False Is -22*(((-27)/6)/3 - 2) prime? False Is (-1)/(2/(-37))*2 composite? False Let s(c) = 38*c**2 + 9*c - 2. Let o(w) = -37*w**2 - 8*w + 1. Let i(v) = -5*o(v) - 4*s(v). Is i(-2) a prime number? True Let u(i) = 2*i - 2. Let m be u(3). Let l(g) = -g**3 - 4*g**2 + m*g**2 - 3 + 2*g. Is l(-4) composite? False Let g = -165 - -268. Is g a prime number? True Let f(q) = 9*q**2 - q - 19. Is f(-14) composite? False Is 658/4*(-3 + 5) a composite number? True Suppose 3*s - 1437 = 3*j + 1443, s + 5*j = 990. Is s prime? False Let j be (-1 + -38)*(-2)/6. Let h = 5 - j. Let z = 29 + h. Is z a prime number? False Is (-741)/(-3)*(-1)/(-1) composite? True Let a(z) = -656*z**2 + z - 1. Let y be a(1). Let g = y + 1650. Suppose -4*r + g = 254. Is r composite? True Let r = -14 - -26. Suppose 6*a = 2*a - r. Let d(y) = 33*y**2 - 4. Is d(a) composite? False Let m = 299 - -414. Is m a composite number? True Suppose 2523 = 4*t + m, 3*t + 537 - 2429 = -m. Is t prime? True Let l(f) = 2*f**2 + 2*f - 1. Let s = 1 + -3. Is l(s) a prime number? True Let i(z) = z**2 - z + 4. Let w be i(0). Suppose 4*l + 20 = 0, -20 = w*d + 4*l - 4. Is 3 + 2 + d + 109 a prime number? False Is (-46)/((-1)/((-68)/(-8))) composite? True Let q(d) = -d**2 + d. Let y(t) = -9*t**2 + 3*t + 1. Let o(j) = q(j) - y(j). Is o(-2) a prime number? False Is (-15)/(-5)*(-2395)/(-15) prime? True Suppose 3*g = 2*b - 365, -2*b - 4*g - g = -373. Suppose 3*h - b = -h - s, -4*h + 200 = -3*s. Is h a composite number? False Suppose 662 = 2*s + y, 331 = -0*s + s - 5*y. Is s prime? True Let n = 1570 - 1101. Is n prime? False Let d(r) = 318*r**3 + 2*r**2 + r - 2. Is d(1) a composite number? True Let s = 6 + -2. Suppose s*u = -4*w + 816, -4*u = -4*w + 178 - 986. Is u a composite number? True Let f be 1/(-5) + 6984/45. Let t be 2/(-7) + (-90)/(-21). Suppose -c - t*c = -f. Is c prime? True Let w = -83 + 138. Is w a prime number? False Let w be 1/(2/38) - -1. Let b = 27 - w. Is b prime? True Let h be 6/(-10) + (-54)/(-15). Suppose 0 = 2*s + h - 9. Is (-1)/((s/(-19))/3) a prime number? True Let j be 8*((-140)/(-16) - 3). Suppose -i = -4*z + 4 + 4, -4*z + 8 = -5*i. Suppose i = 6*v - 4*v - j. Is v a composite number? False Let n(p) = 49*p + 6. Is n(5) prime? True Let y(g) = -588*g**3 - 3*g**2 - g + 1. Suppose -18 = -2*n - 5*j, 9*n - 4*n + 2*j = 3. Is y(n) composite? False Suppose -6 = -n - n. Let r(v) = 26*v**2 + 117 + 111 + v - 230. Is r(n) prime? False Suppose 0 = 7*b + 6831 - 28426. Is b prime? False Let h(w) = 10*w. Let i = -6 + 7. Is h(i) composite? True Let u = -2128 + 3107. Is u composite? True Let h(j) = -j**2 - 14*j + 1. Suppose 0 = -2*u + g + 4*g + 3, -u = -2*g + 1. Is h(u) prime? False Suppose -4 = -3*n + n. Suppose 3*j + n*j = 595. Is j prime? False Suppose 268 + 67 = 5*d. Is d composite? False Suppose -9*n + 17459 = -3790. Is n a composite number? True Let v = 19 - 25. Is 16 - 5/((-15)/v) composite? True Let d = 3408 + 3395. Is d prime? True Let u = 2603 - 1534. Is u a prime number? True Let q = -16 + 23. Is q prime? True Let b be (6/(-1))/((-20)/(-30)). Let o(v) be the first derivative of -v**2/2 + 13*v + 3. Is o(b) composite? True Let j(q) = -8*q - 4. Let a be j(-4). Let w = a - -27. Is w a prime number? False Let u be (2/3)/(8/24). Suppose -16 = 4*y, 0 = 3*q + 6*y - u*y - 341. Is q prime? False Let n be (-2)/3*5*-87. Suppose 7*c - n = 2*c. Is c a composite number? True Suppose 4*r = -2*v + 20, 5*v + 2 = 4*r - 4. Suppose -335 = -7*h + v*h. Is h a prime number? True Suppose -40 = -0*z - 4*z. Is z composite? True Let b(x) = -8*x**2 - 2*x + 5. Let a(n) = -n**2 + 1. Suppose 0 = -4*j - 2*i - 14, -5*i - 13 = 12. Let v(u) = j*b(u) + 3*a(u). Is v(-3) prime? True Let p be (7 + -1)/(10 - 8). Suppose -5*t = -3*t - 8, 794 = -2*j + p*t. Is 5/(-15)*(j - 2) prime? True Suppose 0 = 3*a - 6*a + 12318. Is a prime? False Suppose t = -4*t + 10. Suppose 133 + 132 = 3*g + t*o, -2*g = -2*o - 180. Is g composite? False Suppose 5*h - 6 = 3*v, 2*h - 3*v = 2 - 5. Suppose -69 = 5*n + l, h*l = -0*n + 5*n + 53. Is -2 + -1*(-2 + n) prime? True Suppose -3*q - 14 = 4*d, -4*q = d - 4 + 14. Is (d/(-1))/(2/257) a prime number? True Let u = 5288 + -3511. Is u composite? False Let n be ((-102)/(-9))/((-2)/(-6)). Suppose 0 = -5*i + 121 + n. Is i composite? False Let m be (18/(-10) + 1)*5. Is (74/m)/((-7)/14) a composite number? False Suppose 5*d + 2*c = 477, 4*d - 81 = -2*c + 299. Is d a composite number? False Let x = 13 + -9. Is 322/x - (-12)/(-8) composite? False Let s(l) = -2*l - 5. Let t be s(-4). Suppose -158 = -y - t*f + 74, 4*y - 4*f - 944 = 0. Is y a composite number? True Is 0/(-2) - (-61 + 21/7) a composite number? True Suppose -33 = 5*l + 57. Let t = 29 + l. Is t composite? False Let z(f) = -3 - 3*f**2 - 2*f**2 - 2. Let i(b) = -9*b**2 + b - 9. Let n(d) = -3*i(d) + 5*z(d). Is n(-5) prime? True Is 6 - 3 - (5 + -1479) a composite number? True Is (8508/(-36))/((-1)/3) a composite number? False Suppose -3*u - 5*k + 31 = -2*u, 0 = -4*u - 3*k + 192. Is u a composite number? True Let k = 122 + -71. Is k a composite number? True Let j = 1 + -1. Let y be (-1 + 3 + -1)*j. Suppose y*d = d - 33. Is d prime? False Suppose -2*s = -7*s + 20. Suppose -2*q - 1 = 4*d + 3, 0 = 4*q + s*d. Is (-4 + q + 3)*19 a prime number? True Let s = -828 - -1225. Is s composite? False Suppose -20*g + 22*g = 422. Is g a composite number? False Is (7 - 2)*(-278)/(-2) composite? True Let g(v) = -16*v + 1. Suppose -7*i = -3*i - 5
{ "pile_set_name": "DM Mathematics" }
070. Let s(o) = o - 1. Determine z*s(r) + 4*y(r). -8*r Let m(w) = -47*w**3 - 36*w**2 - 7*w + 16. Let i(q) = 24*q**3 + 17*q**2 + 3*q - 7. Calculate 7*i(o) + 3*m(o). 27*o**3 + 11*o**2 - 1 Let k(d) = 209*d + 249. Let o(h) = 209*h + 198. Calculate -4*k(u) + 5*o(u). 209*u - 6 Let u(m) = m - 28. Let j = 7207 + -7208. Let h(p) = p - 1. Calculate j*h(q) - u(q). -2*q + 29 Let i(k) = 24*k**3. Suppose 148*q = 173 + 256 + 311. Let b(v) = 12*v**3. Give q*i(t) - 9*b(t). 12*t**3 Let a = 4 - 7. Let i(s) be the third derivative of 1/15*s**5 - 1/6*s**4 + 0 - 132*s**2 + 0*s + 0*s**3. Let m(h) = h**2 - h. Give a*i(z) + 10*m(z). -2*z**2 + 2*z Let p(w) = 15*w**2 - 2*w + 87. Let q(h) = -16*h**2 + h - 88. Give -3*p(g) - 4*q(g). 19*g**2 + 2*g + 91 Let d(i) = 2*i**3 + 2*i**2 - i + 1. Let h(o) = 8347*o**3 + 8838*o**2 - 4419*o + 4419. Calculate -8838*d(l) + 2*h(l). -982*l**3 Let c = -13686 + 13685. Let p(h) = 3*h**3 - 7*h**2 + 2*h - 1. Let n(u) = -u**3 + 1. Calculate c*p(m) - n(m). -2*m**3 + 7*m**2 - 2*m Let x(b) = -9*b**2 - 570*b + 5. Let y(z) = 11*z**2 + 569*z - 6. Calculate -6*x(g) - 5*y(g). -g**2 + 575*g Let o(j) = 37307424*j**2 + 23324*j - 233240. Let v(f) = -9598*f**2 - 6*f + 60. What is -6*o(u) - 23324*v(u)? 19208*u**2 Let h(i) = 2023*i + 5. Let w(l) = 4039*l + 12. What is 7*h(r) - 3*w(r)? 2044*r - 1 Let c(q) = -4*q**2 + 20*q + 52. Let p be c(-2). Let w(u) = -7*u**3 - 3*u**2 - u - 5. Let j(o) = 7*o**3 + 2*o**2 + o + 4. Calculate p*w(d) - 5*j(d). -7*d**3 + 2*d**2 - d Let h(l) = -l**3 + 6*l**2 - 4*l. Let g(n) = -18*n**2 - 6 + 15*n**2 + 2*n**2 + n + 6. Give 11*g(k) + 2*h(k). -2*k**3 + k**2 + 3*k Let p(v) = -6*v**2 - 63*v + 29. Let w(n) = n**2 + n - 6. Calculate -p(f) - 4*w(f). 2*f**2 + 59*f - 5 Let f be 13 + -20 - (-5)/(20/(-4))*-10. Let k(s) = -s + 6. Let g(h) = 2*h - 7. Calculate f*k(m) + 2*g(m). m + 4 Let m(x) = 27*x**2 + 7*x - 2. Let k(l) = -13*l**2 + 33*l + 35 - 37*l - 34. What is -7*k(i) - 4*m(i)? -17*i**2 + 1 Let y(l) = -l. Let n(w) = 282*w + 2537. Let q be n(-9). Let m(p) = 7*p**2 - 2. Determine q*m(i) + 2*y(i). -7*i**2 - 2*i + 2 Let s(r) = -9*r + 585. Let i(d) = 3*d - 292. What is 7*i(u) + 4*s(u)? -15*u + 296 Let f(a) = -8684753*a**2 + 19459*a + 77836. Let d(j) = -1339*j**2 + 3*j + 12. Calculate -38918*d(t) + 6*f(t). 2684*t**2 Let w = 50 + -59. Let m(x) = 11*x**3 - 9*x**2 - 5*x - 7. Let d(k) be the first derivative of 5*k**4/4 - 4*k**3/3 - k**2 - 3*k + 25. Give w*d(h) + 4*m(h). -h**3 - 2*h - 1 Let u(v) = -3*v + 1. Let b be u(1). Let k(f) be the third derivative of -7*f**5/60 - f**4/4 + 198435*f**2. Let q(p) = 3*p**2 + 3*p. Calculate b*k(r) - 5*q(r). -r**2 - 3*r Let z(l) = l - 1. Let t(y) = -16*y - 6. Suppose -24 = 5*b - 4*d - 26, -2*b - 4*d = -12. Determine b*t(a) - 12*z(a). -44*a Let b(v) = -57*v**2 + 10*v - 8. Let z(y) = 29*y**2 - 6*y + 3. Determine 3*b(f) + 5*z(f). -26*f**2 - 9 Let f(a) = -a. Let p = 288 + -276. Let t(y) = y - 13. Let m be t(p). Let c(s) = 2*s + 2. Calculate m*c(k) - 3*f(k). k - 2 Let o(l) = -2*l**2 - 2*l - 1. Let c be (12/30)/(-1 + 9/10). Let x be 6/1*-1 + c + 5. Let g = 3 + x. Let z(d) = 2*d**2 + 3*d + 1. What is g*z(k) - 3*o(k)? 2*k**2 + 1 Let k(j) = 18*j**3 + 36*j + 36. Let d(n) = -n - 1. Let y(g) = -g**3 - 2*g**2 - 23*g - 88. Let c be y(-4). What is c*d(z) + k(z)? 18*z**3 Suppose -x + 18 = 3*x - r, 3*x = 3*r + 18. Let z(d) = 2 + 35*d**2 + 0*d + x*d - 36*d**2. Let v(y) = -1 + 4*y + 5*y - 2*y**2 + 6. Give -2*v(a) + 5*z(a). -a**2 + 2*a Let w(o) = -o**2 - 9*o - 7. Suppose -4*c - 5*q + 34 = -7, 2*q - 6 = c. Let m(h) = -9 + 2*h - h**2 - 2*h + 6 - c*h. Calculate 7*m(y) - 3*w(y). -4*y**2 - y Let f(o) = 2*o**2 + 2*o + 16. Suppose -241*x = -292*x + 102. Let r(a) = 2*a**2 + 2*a + 17. Determine x*r(y) - 3*f(y). -2*y**2 - 2*y - 14 Let o(g) = -2*g**2 - 6*g + 9. Let r = -13760 + 13756. Let m(h) = -2*h**2 - 5*h + 8. What is r*o(j) + 5*m(j)? -2*j**2 - j + 4 Let y(r) = 5*r - 9. Suppose 2*b = -0 - 12. Let f(q) = 108 - 18 - 6*q - 8*q - 64. Determine b*f(o) - 17*y(o). -o - 3 Let o(r) = 11. Let p(f) = -36. Let j(a) = 13*o(a) + 4*p(a). Let b(k) = k + 1. Let y(s) = -s - 2. Let v be y(-6). Give v*j(x) - b(x). -x - 5 Let f(m) = -102*m - 231. Let b(w) = -21*w - 2. Calculate -5*b(z) + f(z). 3*z - 221 Let f(h) = -926. Let b(o) = -o - 13. Determine 5*b(w) + f(w). -5*w - 991 Let d(u) = 8*u**2 + 5*u - 26. Let p(h) = 9*h**2 - 5*h - 18. Let c(l) = 5*l**2 - 4*l - 9. Let x(r) = -3*c(r) + 2*p(r). Give -4*d(z) + 11*x(z). z**2 + 2*z + 5 Let b(s) = -35*s + 6. Suppose 30*k + 439 = 49. Let r(n) = 71*n - 13. Determine k*b(u) - 6*r(u). 29*u Let s(t) = -2*t - 8. Let o(p) = -p - 8. Suppose 3*k = -5*b - 27, -2*b - 4 = 2*k + 10. What is b*o(v) + 2*s(v)? -v + 8 Let a(d) = -2*d**3 - d**2 + 2*d. Let v(y) = 2*y**3 + y**2 - 3*y. Suppose -5*r - 5*l = 0, 6*l - 9*l = r - 6. Give r*v(h) - 4*a(h). 2*h**3 + h**2 + h Let r(w) = -2*w**2 - 34*w. Let f(g) = 81*g + 4. Let i(v) = -v**2 + 3*v + 1. Let l(d) = f(d) - 4*i(d). Give 4*l(a) + 7*r(a). 2*a**2 + 38*a Let x(j) = 80*j**2 + 97*j - 661. Let o(s) = 5*s**2 + 6*s - 40. Let t(h) = 33*o(h) - 2*x(h). Let w(i) = -6*i**2 - 3*i - 1. Give 2*t(f) + 3*w(f). -8*f**2 - f + 1 Let z(n) = -n + 4. Let k(y) = y. Suppose -2*d = -s + 11, -95*s + d = -93*s - 4. Determine s*z(j) + 4*k(j). 5*j - 4 Let a(j) = 122*j**2 + 168*j - 1. Let n(t) = 102*t**2 + 169*t - 2. Determine -5*a(m) + 6*n(m). 2*m**2 + 174*m - 7 Let c(h) = -3*h**3 + 20*h**2 + 4*h + 297. Let y(t) = -2*t**3 + 16*t**2 + 3*t + 296. Calculate -3*c(o) + 4*y(o). o**3 + 4*o**2 + 293 Let m(v) = 4*v + 3. Let p(y) = -36*y - 28. Let s(o) = -12 - 2*o**2 - 8 + 698*o - 769*o. Let b be s(-36). Determine b*m(n) - 6*p(n). -8*n Let u(l) = -l**3 + 3*l**2 + 3. Suppose 7 = 4*b + 31. Let i(h) = -2*h**3 + 7*h**2 + 7. Let d(g) = -14*g + 840. Let s be d(59). Give b*i(t) + s*u(t). -2*t**3 Let o(q) = 24*q**2 - 14*q - 25. Let x(c) = -19*c**2 + 15*c + 26. Determine 4*o(h) + 5*x(h). h**2 + 19*h + 30 Let v(y) = -2*y**2 + y - 56. Let p(k) = k + 14. Determine -12*p(b) - 3*v(b). 6*b**2 - 15*b Let i(j) = j**2 - 2*j + 4. Let b(r) = -14*r - 28. Let p be b(-4). Let z(d) = -p*d + 3 + 29*d + 1 - 7. Determine -2*i(g) - 3*z(g). -2*g**2 + g + 1 Let h(b) = 65*b**2 + 4*b + 2. Let s(d) = -129*d**2 - 9*d - 4. Give -5*h(w) - 3*s(w). 62*w**2 + 7*w + 2 Let a(f) = 7*f - 2. Suppose 5*o - 41*o - 1122 = -14*o. Let p(z) = 57*z - 17. Determine o*a(y) + 6*p(y). -15*y Let g(l) = 14017*l + 4. Let j(q) = -344425730*q - 98287. What is 98287*g(m) + 4*j(m)? -14041*m Let v(n) = -3*n - 563. Let h(q) = -5*q - 1104. What is -2*h(d) + 5*v(d)? -5*d - 607 Let o(n) = -n - 2*n**2 - n - 1 + 3*n**2. Let u(x) = 3*x**2 + x. Let q = 106 + -107. Let a be u(q). Let r(p) = 2*p**2 - 5*p - 1. Calculate a*r(c) - 5*o(c). -c**2 + 3 Let b(t) = t - 5. Let n(l) = -25 - 24 + 85 - 37. Suppose 5*i + 0 = -5. Give i*b(f) + 5*n(f). -f Let n(r) = -63*r**3 - 22*r**2 - 5*r - 21. Let m(x) = -127*x**3 - 48*x**2 - 11*x - 43. Give 6*m(i) - 13*n(i). 57*i**3 - 2*i**2 - i + 15 Let b(h) = -10*h - 35. Let m(s) be the third derivative of -9*s**2 + 1/24*s**4 + 2/3*s**3 + 0*s + 18. Give -4*b(l) - 35*m(l). 5*l Let p(c) = c. Let a = -1 - -2. Let s(y) = -y + 3. Suppose 26*j - 3949 = 37*j. Let m = j - -358. What is a*p(t) + m*s(t)? 2*t - 3 Let r be ((-169)/(-13) - -1)*2/7. Let x(d) = 8*d**2 - 7027*d - r + 6 + 7022*d. Let c(y) = -y**2 + y. Determine -6*c(q) - x(q). -2*q**2 - q - 2 Let g(c) = 3*c**2 + 2*c + 5. Let k(w) = -6*w**2 - 4*w - 11. Suppose -o + 5 + 14 = -4*q, 3*o - 29 = 5*q. What is o*k(u) + 7*g(u)? 3*u**2 + 2*u + 2 Let p(s) = 99*s**2 + 8*s + 5. Let h(c) = -72*c**2 - 8*c - 4. Let x(i) = 4*h(i) + 3*p(i). Let f(l) = l**2 - l. Determine 5*f(r) - x(r). -4*r**2 + 3*r + 1 Let i(s) = -s**2 + s. Let d(h) = 5*h**3 + 20*h**2 - 20*h. Let y = -16666 + 16686. Let o be (2/4)/(4/8). Determine o*d(m) + y*i(m). 5*m**3 Let s(m) = -73*m - 5. Let d(j) = 29*j - 18 + 8*j + 35 - 14. Determine 5*d(t) + 3*s(t). -34*t Let p(c) = -9*c**2 - 652*c - 21. Let i(o) = 16*o**2 + 1306*o + 35. What is -3*i(n) - 5*p(n)? -3*n**2 - 658*n Let r(k) = -6*k - 8220. Let j(f) = -3*f - 4133. Determine 5*j(x) - 3*r(x). 3*x + 3995 Let m(o) = -10*o**2 + 5*o - 9. Let f(x) = x**2 + 1. What is 5*f(l) + m(l)? -5*l**2 + 5*l - 4 Let c = -6 - -2. Let j(n) = n. Let o = -803 - -804. Let a(u) = -o + u - 4*u + u + u - 2*u. Give c*a(l) - 11*j(l). l + 4 Let q(j) = -
{ "pile_set_name": "DM Mathematics" }
5*b(n) - 14*v(n). 4*n**3 Let p(u) = -4113*u + 5. Let i(g) = 4114*g - 4. What is 5*i(t) + 4*p(t)? 4118*t Let j(z) = 93*z - 2*z**2 + 4 - 92*z - 2 - 1. Let y(v) = -v**2 + v + 1. What is j(d) - y(d)? -d**2 Let u(j) = j**3 - j**2 + 1. Let v = -4038 + 4037. Let r(g) = -5*g**3 + 3*g**2 - 5*g - 3. Calculate v*r(w) - 3*u(w). 2*w**3 + 5*w Suppose 6*k = 4*k + 3*i - 4, -6 = 3*k - 2*i. Let v(m) = -m**3 - 4*m + 2. Let f(b) = -b**3 - 8*b + 5. Calculate k*f(h) + 5*v(h). -3*h**3 - 4*h Let v(w) be the first derivative of -11*w**4/4 + w**2 + 2*w - 17654. Let r(x) = 34*x**3 - 7*x - 7. Suppose -18 = 5*g + 17. Determine g*v(h) - 2*r(h). 9*h**3 Let y(s) = -3*s + 0 + 2 + s**2 - 3*s**2. Let z(g) = -3*g**2 - 3*g + 3. Let c = -136 - -140. Suppose 8 = -2*i, -4*i = c*k + 40 - 8. Calculate k*z(n) + 5*y(n). 2*n**2 - 3*n - 2 Let y(o) = 5*o**2 + 14*o + 14. Let f(g) = -2*g**2 - g - 19230 + 19225 - 4*g. Let w = 2 + -3. Let n be w + 2 - (2 - -2). What is n*y(m) - 8*f(m)? m**2 - 2*m - 2 Let u(n) = n**2 + n + 1. Let h(m) = -20*m**2 - 35*m - 40. Let c(o) = -h(o) - 35*u(o). Let t(s) = s**2 + 1. Calculate c(w) - 5*t(w). -20*w**2 Suppose -5*w = w - 222 - 102. Let i(y) = 39*y**2 + 27. Let b(h) be the third derivative of -h**5/20 - h**3/3 + 2*h**2. What is w*b(c) + 4*i(c)? -6*c**2 Let s(a) = -173025866*a**3 + 49231*a**2 + 49231*a + 98462. Let h(z) = 14058*z**3 - 4*z**2 - 4*z - 8. What is 49231*h(u) + 4*s(u)? -14066*u**3 Let v(g) = -5*g + 3. Let l be (5 - (-222)/(-42))/((-3)/42). Let w(i) be the first derivative of -2*i**2 + 2*i - 70. Determine l*w(o) - 3*v(o). -o - 1 Let j(z) = -9*z**3 + 4*z**2 + 450*z + 8. Let s(m) = -28*m**3 + 13*m**2 + 1347*m + 26. Calculate 13*j(u) - 4*s(u). -5*u**3 + 462*u Let r(q) = -q**2 + 6*q - 6. Let p(i) = -26*i + 2*i + 21*i - 4 + 5 - 2 + 4*i. Suppose -h - h + 12 = 0. Give h*p(n) - r(n). n**2 Let a(p) = p - 1. Let d be (-12 + 13 - 0)*(-3)/(6/(-20)). Let u(t) = -6*t + 10. What is d*a(x) + u(x)? 4*x Let q(a) = -3*a**3 - 14*a + 2. Let m(g) = -7*g**3 - g**2 - 30*g + 6. Give 2*m(u) - 5*q(u). u**3 - 2*u**2 + 10*u + 2 Let g(m) = -259*m**3 + 18*m**2 + m + 3. Let f(r) = 8*r**2 - 2*r + 2. What is 2*f(b) - g(b)? 259*b**3 - 2*b**2 - 5*b + 1 Let u be 2/(-1)*(-5 - -4). Let f(y) = 4 - y**3 + y**2 - y + u*y**3 - 3. Let d(i) = 2 - 2*i**3 + 3 - 6*i + 5*i**3 + 4*i**2 + 0. Calculate -d(x) + 4*f(x). x**3 + 2*x - 1 Let n(z) = 3*z**3 + 4*z + 4. Let s(l) = 8*l - 3*l - 16*l**3 + 5*l**3 + 5 + 4*l**3 + 10*l**3. Determine -5*n(j) + 4*s(j). -3*j**3 Let m(g) = -3*g + 27. Let b(f) = -281*f - 84. Let u(a) = -927*a - 280. Let y(x) = -33*b(x) + 10*u(x). Give -5*m(q) - 4*y(q). 3*q - 23 Let b(l) = -36*l. Let m = 88019 - 88023. Let z(r) be the third derivative of 5*r**4/24 + r**2. Calculate m*b(w) - 27*z(w). 9*w Let x(z) = -1 + 7*z - 3*z - 3*z. Let w be 3 + (-2*2 - -2). Let m(f) = -46*f + 80. Let l(g) = 9*g - 15. Let s(i) = -11*l(i) - 2*m(i). Calculate w*s(d) + 6*x(d). -d - 1 Let t(k) = -31*k**2 - 6*k - 16. Let i(z) be the first derivative of 2*z**3 + z**2/2 + 3*z + 843. What is -11*i(p) - 2*t(p)? -4*p**2 + p - 1 Let i(y) = 1201191*y - 1101. Let f(a) = 2184*a - 2. Determine 1101*f(n) - 2*i(n). 2202*n Let v(m) = 2*m + 3*m - 30 - m - 12 + 16. Let s be v(6). Let c(o) = 10*o + 16. Let g(n) = 3*n + 5. Determine s*c(f) + 7*g(f). f + 3 Suppose 7*s = 6*s + 3. Let z(k) = -2*k**3 + 7 + 3*k**2 + s*k - 2*k**3 + 0*k**3. Let c(j) = -57*j - j**2 + 2 - 4 + j**3 + 0 + 56*j. Give -7*c(a) - 2*z(a). a**3 + a**2 + a Let q(v) = 14*v - 35. Let b(f) = 9*f - 37. Calculate 8*b(a) - 7*q(a). -26*a - 51 Let o(w) = 5*w**2 + 5*w - 200. Let i(y) = y**2 + y. Give -6*i(t) + o(t). -t**2 - t - 200 Let j(v) = 1715*v**3 - 11*v**2 + 17*v - 6. Let k(q) = -286*q**3 + 2*q**2 - 3*q + 1. Give 6*j(a) + 34*k(a). 566*a**3 + 2*a**2 - 2 Let u(m) = -m - 1. Let w(s) be the first derivative of 5*s**2/2 + 6*s - 202. Give -30*u(q) - 5*w(q). 5*q Let z(v) = 14*v - 13. Let a(f) = -32*f. Let k(g) = -199*g + 7. Let w(d) = -6*a(d) + k(d). Calculate 7*w(x) + 4*z(x). 7*x - 3 Let d be (-346)/6 - (-2)/3. Let r be d/(-11) - ((-707)/(-77) + -9). Let f(j) = 12*j**3 + 5*j**2 - 5*j + 5. Let u(k) = k**3 + k**2 - k + 1. Give r*u(i) - f(i). -7*i**3 Let z(c) = 15*c + 4. Let a(w) = -5 + 2*w - 10*w - 267 + 270. Give -7*a(f) - 4*z(f). -4*f - 2 Let q(s) = 48*s**3 - 8*s**2 - 3*s - 8. Let j(u) = 32*u**3 - 5*u**2 - 2*u - 5. Let v be 2793/171 + 5/3 + -10. Give v*j(x) - 5*q(x). 16*x**3 - x Let j be 1 + ((-720)/18)/20. Suppose -3*f + 24 = f. Let v(c) = 2*c + 6. Let i(a) = 1. Calculate f*i(h) + j*v(h). -2*h Let q(i) = -28*i**3 - 8*i**2 - 8*i. Let c(j) = 19*j**3 + 5*j**2 + 5*j. Let y = -39311 + 39319. What is y*c(t) + 5*q(t)? 12*t**3 Let b(c) = 12*c + 9. Let g(w) = -58*w - 16. Let k(h) = -27*h - 8. Suppose -90*v + 86*v + 36 = 0. Let q(o) = v*k(o) - 4*g(o). Give -6*b(y) - 7*q(y). 5*y + 2 Let g(c) = -23*c**2 - c - 81. Let z(n) = 3*n**2 + 11. Let o(k) = -2*g(k) - 15*z(k). Let p = 8 - 4. Let y(b) = -3*b**2 - 5*b + 8. Determine p*y(t) + 11*o(t). -t**2 + 2*t - 1 Let p(b) = -275*b - 1. Let k(s) = 274*s. Determine -3*k(o) - 4*p(o). 278*o + 4 Let s(r) = 4*r**2 + 13*r + 17. Let v(x) = -259*x**2 - 275*x**2 - 26 + 800*x**2 - 272*x**2 - 20*x. Determine -8*s(m) - 5*v(m). -2*m**2 - 4*m - 6 Let b(m) = 2*m**2 + 4*m - 1. Let i be 188/60 + 22/(-165). Let z(a) = -6*a + i*a + 1 - 842*a**2 - 3*a + 841*a**2 + 3*a. Calculate -3*b(c) - 4*z(c). -2*c**2 - 1 Let k(d) = 3*d**3 - 6*d**2 - 11. Let b(o) = o**3 - o**2 - 1. Suppose -4*u = z + 18, 2*u + 12 = 6. Give z*b(r) + k(r). -3*r**3 - 5 Let j(u) = -7*u**3 - 244*u**2 + 2*u - 1. Let t(m) = 8*m**3 + 249*m**2 - 2*m + 1. Calculate 9*j(r) + 8*t(r). r**3 - 204*r**2 + 2*r - 1 Let o(b) = -14*b + 128. Let t(z) = 4*z + 33. Let g(f) = -o(f) + 4*t(f). Let n(u) = 1. Calculate g(p) - 5*n(p). 30*p - 1 Let u(t) = 80*t - 67*t**2 + 80*t + 71*t**2 - 159*t + 2. Let j(v) = -v**2 + 1. Determine 3*j(r) + u(r). r**2 + r + 5 Let s(t) = -26*t**3 - 9*t**2 - 14*t + 264. Let q(o) = 6*o**3 + 2*o**2 + 3*o - 66. Give 9*q(j) + 2*s(j). 2*j**3 - j - 66 Let n(b) = -b**3 + 119*b**2 + 2*b - 120*b**2 - 3*b. Let y be -4 + -6 - (-6 + -1). Let i(h) = h**3 + 3*h**2 + 3*h. What is y*n(a) - i(a)? 2*a**3 Let d(r) = r**2 - r - 1. Let x(i) = -2*i + 2*i**3 - 222 + 80 + 147 - 5*i**2. Calculate 5*d(y) + x(y). 2*y**3 - 7*y Let a(y) = 1. Suppose 21*d + 2*d - 46 = 0. Let h be d/(-15) + 365/(-75). Let f(z) = -2*z - 4. Determine h*a(w) - f(w). 2*w - 1 Let n(t) = 3 + 4*t - 2 - t**2 - 5*t. Let p(r) be the third derivative of -r**5/20 - r**4/24 - r**2 + 65556*r. Determine n(g) - p(g). 2*g**2 + 1 Let z(s) = 11*s - 6. Let y be z(2). Let w(u) = -36*u + 3*u - 8*u - y*u. Let p(b) = 2*b. Suppose 5*k + 2*m = 268, k + 211 = 5*k + 5*m. Determine k*p(d) + 2*w(d). -6*d Let b(q) = 3*q**2 - 6*q - 2. Let i(o) = -20*o**2 + 22*o**2 + 5 + 13*o - 8*o**2. Determine -5*b(u) - 2*i(u). -3*u**2 + 4*u Let m(y) = -2*y**3 + 30*y**2 + 2*y - 25. Let u(g) = -4*g**3 + 27*g**2 + 3*g - 25. Give 3*m(l) - 2*u(l). 2*l**3 + 36*l**2 - 25 Let z(q) = -4*q - 1. Let m(h) = -21*h - 5. Let o = 13 + -2. Let f(v) = -v**3 - 12*v**2 + 20*v + 78. Let b be f(-2). Calculate b*m(s) + o*z(s). -2*s - 1 Let z(x) = -2*x**3 - 111*x**2 + 10*x + 14. Let g(d) = -d**3 - 2*d**2 + 2*d + 3. What is -5*g(i) + z(i)? 3*i**3 - 101*i**2 - 1 Let t(m) = -124*m + 5696. Let c be t(46). Let x(d) = 3*d**2 - 2*d - 4. Let n(s) = -3*s + 6*s - 9*s**2 + 11 + 3*s. Determine c*x(u) - 3*n(u). 3*u**2 - 2*u - 1 Let p(k) = 5*k - 31. Suppose 1626 = 849*i - 1770. Let q(d) = -d + 6. Calculate i*p(l) + 22*q(l). -2*l + 8 Let y(t) = t. Let s(r) = -10*r + 1. Let o(l) = -s(l) - 6*y(l). Let n(w) be the second derivative of 7*w**3/6 - w**2 - 11*w + 156. Give 3*n(c) - 7*o(c). -7*c + 1 Let g(z) = z**3 - 7*z**2 + 16*z - 185. Let a be g(8). Let r(q) = q**2 + 3*q + 4. Let p(m) = -3*m**2 - 7*m - 9. Give a*r(f) + 3*p(f). -2*f**2 + 1 Let m(n) = 9*n**2 + 49*n + 2884. Let v(s) = 8*s**2 + 42*s + 2885. Give 6*m(z) - 7*v(z). -2*z**2 - 2891 Let k(p) = -156*p**2 - 26*p + 26. Let c(m) = 31*m**2 + 5*m - 5. Let w = -4407 + 4381. What is w*c(d) - 5*k(d)? -26*d**2 Let g(p) = -162*p - 19. Let k(d) = -7*d - 6. What is g(h) - 6*k(h)? -120*h + 17 Let q(k) = 5*k**2 + 3*k. Let d(z) = 5*z**2 + 2*z - 1. Let f(y) = -232*y + 3478. Let w be f(15). Give w*q(p) + 3*d(p). 5*p**2 - 3 Let l be 6 - (4 + -4)/4. Let z(m) = -l - 1 - 5*m + 7 - 3
{ "pile_set_name": "DM Mathematics" }
Solve -10*j - 124 = -2*j + 12, -2*l + j = 8*j + 119 for l. 0 Solve -94044*i + 94041*i + 5*y - 5 = 0, -3*i + 4*y - 30 = 2*i for i. -10 Solve -1968151*r = -1968155*r - 5*b + 61, 4*b = -3*r + 45 for r. 19 Solve -45*c - 2 = -k - 53*c, -4*c + 358 = 3*k + 352 for k. 2 Solve -h + 95 = 2*h - o, 120*o - 240*o = 4*h - 117*o - 118 for h. 31 Solve 4*i + r = -10, 3*i - 11*r + 17*r + 9 + 30 = 0 for i. -1 Solve -4*b + 24 = 2*o, 6*b + 11248*o - 11251*o - 12 = 0 for b. 4 Solve -42*o = 6*y - 36, 48 = 4*y + 3*o + 149 for y. -29 Solve -t + 2*k + 2 = 0, 1309986*k + 10 = 5*t + 1309988*k for t. 2 Solve -2*r + 3*n - 416 + 442 = -0*r, -2 = n for r. 10 Solve -269 + 221 = -b + 4*s, 33*s + 146 = 2*b for b. 40 Solve -26*m + 98 = -2*i, -22*m + 24*m = -3*i + 15 + 2 for m. 4 Solve -174*s + 91*s = -88*s - 13*x - 105, -3*s - 14 = -2*x for s. -8 Solve u + 2*o + 209 = 13*o - 241, 195 = -10*u + 5*o for u. 1 Solve -4*f + 17063 = 4*l + 17143, 5*f + 78*l = 46 for f. -22 Solve 0 = -9*q - 234, 622*c - 134 = 624*c + 4*q - 26 for c. -2 Solve g = -18*o + 15, 5848*o - 5849*o + 107 = -5*g for o. 2 Solve 0 = 8*x + u + 24, 73*x - 70*x - 4*u - 20 = -1 + 7 for x. -2 Solve 8*t - 6 + 0 = w, -t = 42*w - 91*w + 47*w + 3 for t. 1 Solve -17*k - 97 - 92 = 10*k, 5*l + 469*k + 5 = -2*l + 2*l + 464*k for l. 6 Solve -g = 2*j + 1, -4*g + 135 = -8*j + 123 for g. 1 Solve 3*q = -l - 39, 20*l + 62388*q - 62389*q + 48 = 0 for l. -3 Solve 119*l - 2*x - 34 = 100*l, -2*x - 34 = -l for l. 0 Solve -20*f + 8918 = 4*s + 8910, -2*s - 11 = -5*f for s. -3 Solve -37128*j + 51*d + 102 = -37129*j, 0 = 2*j - 4*d - 8 for j. 0 Solve 6 = x - 3*i, 3*x + 2*i - 58132 = -58103 for x. 9 Solve -3*m - 29037 = -d - 29063, -d = -17*m + 124 for m. 7 Solve -4*v + 3*b = 33, -184*b = 8*v + 223*b - 404*b + 39 for v. -6 Solve -5*w = -4*a + 40, 13*a = 4831*w - 4830*w + 69 for a. 5 Solve -105*s + 48*s + 52*s + 7*t + 48 = 0, 4*t = -4*s for s. 4 Solve -4*h = -5*o + 3, -10210 = 21*h - o - 10270 for h. 3 Solve 5*m = z + 7420 - 7416, -m = 26*z - 27 for m. 1 Solve 8 = -4*i, 0 = -19*d - 105*d + i + 1073 - 575 for d. 4 Solve 0 = 5*m - 2*p - 130490 + 130261, -3*p + 9 = 0 for m. 47 Solve -3*w = -d + 14, -16769*w + 4 = 2*d - 33534*w + 16761*w - 12 for d. -4 Solve -5*h + 8 = -3*h + 3*w, 205*h + 421*w - 3336 = 201*h for h. -8 Solve -j - d + 5*d + 21 = 0, 3*j = -3*d + 3 for j. 5 Solve -4*v - 10*z = 470*z + 16, v = 3*z - 4 for v. -4 Solve 4*w - 56 = -6*q, 133*q + 24 = 5*w + 129*q for w. 8 Solve 0 = 3*v - 4*t - 56, 4*v + 3*t = 849 - 866 for v. 4 Solve 394*l - 401*l + 67 = -5*v, 2*v + 70 = 10*l for l. 6 Solve -3*s = 2*c - 134, -2*c = 1551334*s - 1551336*s - 124 for c. 64 Solve -23*r = -1208 + 1070, 0 = 4*z - 5*r + 18 for z. 3 Solve 49*r + 3*j - 205 = 0, 5*j = -659*r + 1316*r - 652*r - 5 for r. 4 Solve -t - 17 - 18 - 105 = -2*x - 4*x + 85, x - 38 = 0 for t. 3 Solve 705*p - 709*p = 5*m - 34, 0 = -2*m + 5*p + 40 for m. 10 Solve 2*q = -5*l - 79, 4*q + 32*l + 465 - 176 = -19*l - 566 for q. 3 Solve 3 = 3*z, 4776*p - 4781*p + 25*z = 155 for p. -26 Solve 21 = -4*j + i, 5*j + 33 = -86165*i + 86167*i for j. -3 Solve -530*h = -535*h + 5*z + 155, 114 = 4*h + z for h. 29 Solve -5*z + 5*c + 43 - 57 = 4*c, 2*z + 2*z + 3*c = 137 for z. 5 Solve 258*l = r + 260*l - 17, 2*l = -4*r + 32 for r. 5 Solve 0 = -4*q - 72, 66*j - 92*j - 3 = -25*j - 5*q - 97 for j. 4 Solve -6*b - 3*o - 45 = -5*b, 0 = 8*b - 13*b - 4*o - 258 for b. -54 Solve -f + 99*m = 11*m + 47*m + 147, 5*f + 5*m + 54 = -51 for f. -24 Solve -5*a - 21*w - 129 - 55 = 0, -16*a + 7*w + 48 = -31*a + 14*a for a. -20 Solve 0 = 454*c - 453*c - 7*v + 16, -3*c - 4*v - 23 = 0 for c. -9 Solve -14 = 5*a + 450*v - 452*v + 9, -2*v = 4*a + 22 for a. -5 Solve 10*d + 30 = 3*f, -d = 4*f + 6267 - 6264 for f. 0 Solve g = 4*s - 6129 + 6124, -13 = 2*g - 5*s for g. -9 Solve 166*k = -5*b - 4*k - 229 - 1306, -41 = -4*b + 5*k for b. -1 Solve 4672*x - 142 = -14*w + 4668*x, 4*w - 5*w = -5*x + 270 for w. -5 Solve 0 = 3*l - 2*n - 22, 14*n + 44 = 3*l + 10*n for l. 0 Solve 0 = 7*p - 5*w + 169, -5*w + 6*w - 47 = 2*p for p. -22 Solve 5*d + 726749*c = 726747*c - 49, 95*c + 163 = 3*d for d. -9 Solve 4*i - 24 = -28527*d + 28529*d, -200 = 3*d + 76*i for d. -16 Solve 4*y + q = 10, q + 3 = 145*y - 141*y - 3 for y. 2 Solve -26 = -3*z - 4*p + 191, -2*z = -0*p - 5*p - 37 - 100 for z. 71 Solve -3*h + 14 = 4*b - 2*h, -2*h - 2671 = -b - 2672 for b. 3 Solve 5*s = -3*q + 24, 16*q - 20 = -15*s - 16*q + 27*q for s. -3 Solve -s + 20 = 4*j, -48*j - 200*s - 284*s = -488*s - 176 for j. 4 Solve -36 - 75 = -4*f + 57, -4*f + 164 = -5*n - 14 for n. -2 Solve 0 = 2*v + 3*v + 5, -635*y + 1263*y = 608*y + 3*v + 323 for y. 16 Solve 30*t - 24 = 39*t - 17*t + x + x, 2 = 5*t - 3*x - 6 for t. 4 Solve -127 = -2*y - 3*y + 3*g, 0*g + 118 = -40*g - 42 for y. 23 Solve 114*t + 15 = 119*t, 0 = -r + 5*t - 3 for r. 12 Solve -46 = 4*f - 2*t, -106*f + 110*f - 25*t - 131 = 36*t for f. -13 Solve -11*b - 1231 = 17*l - 1027, 2*l + 36 = -2*b for b. -17 Solve 0 = -5*j + 5*u + 100, 33*j = 38*j + 10*u + 245 for j. -3 Solve 4233*u + 2*b - b - 14 = 4235*u, 4*b = -5*u - 48 for u. -8 Solve f = 21639 - 21636, 0 = -6*k - f + 15 for k. 2 Solve -9*h + 0*a - 4*a + 28 = -13*h, -5*a = -25 for h. -2 Solve -69 = f + 15*y - 19*y, -51 = -3*y for f. -1 Solve o + 50*p - 19 = 48*p, -57*o + 36 = -54*o + 3*p for o. 5 Solve -5*x = 3*q + 4549 - 4589, 0 = 3*q - 13*x + 50 for q. 5 Solve i = c - 41, -706*c + i + 29 = -711*c for c. 2 Solve 0 = -7*u + 3*j - 66, -393*u + 159 = -426*u + 4*j for u. -3 Solve q - 5*c + 7 = 48, c = 1456*q - 1451*q + 11 for q. -4 Solve 4*q + 3*x + 76 = 0, 142*x - 143*x = -10 + 17 + 13 for q. -4 Solve 5*r - 150 = p, -2*r = -45*p - 14*p - 6*r - 179 for p. -5 Solve -3*z + 3*d = 2*z - 21, -45*z + 55*z - 4*d - 48 = 0 for z. 6 Solve 9*l = 3*a + 10*l - 3, -2*a + l + 769 - 760 = 4*l for a. 0 Solve -2*o + o - 27 = -3*i, -o = -140*i - 2*o - o + 1104 - 136 for i. 7 Solve -3*k + 34 = k - 4*r + 162, -21*k - 102 = -15*k - 3*r for k. -2 Solve 0 = 3*f - 3*i + 21, 20942*f - 20940*f + 3*i + 14 = 0 for f. -7 Solve 0 = -10*w - 33*f - 1178, 181*w - 5*f = 179*w + 182 for w. 1 Solve -5192*k + 5187*k = 25, 53*l - 73 = k + 303 for l. 7 Solve 555*z - 558*z + s - 15 = 0, -73*z = -4*s + 243 for z. -3 Solve -219*m = 205*m - 426*m + 2*j - 66, -179 + 14 = 5*m - 2*j for m. -33 Solve 5*i + t = i + 28969 - 28968, 2*t - 4 = -5*i + 1 for i. -1 Solve 4*q + 3*q + 0*t = 33*q + 4*t + 22, -549 = q - 39*t for q. -3 Solve 0 = -5*x - 4*h + 131 + 98, -2*x + 125 - 32 = 3*h for x. 45 Solve 5*a - 6*j - 87 = -2*a, 14*a - 14*a + 5 = -2*a - j for a. 3 Solve -22 = -3*j - j + a, -232*j = -109*j - 125*j - 4*a - 88 for j. 0 Solve -3*z = -3*s + 3, 790*s = 789*s + 9*z - 15 for s. 3 Solve 0 = 4*h - 6*j - 60, 3*j + 54 = 5*h + 6*j for h. 12 Solve y + 17*z - 93*z + 985 = -0*y, -2*y + 71 = 5*z for y. 3 Solve -74 = 499*q - 507*q + 3*u, -4*u + u - 70 = 3*q - 7*q for q. 1 Solve -8*q - 41 = 15*q - i + 4, 240 - 307 = q - 3*i for q. -1 Solve -118 - 66 = 6*x - q - 0*q - 47, 6*q - 40 = 2*x for x. -23 Solve -18*n + 15*n + 4 - 15 = -4*h, 209*h + 204 = n for n. -5 Solve 0 = -59*j - 3*f + 289, 0*j - 41*f + 38*f - 21 = -3*j for j. 5 Solve -68*c - 144 = -5*p + 188 - 130, -20 + 48 = -0*p - 2*p for c. -4 Solve 24*x + 115*v + 785 = 29*x + 895*v, -4*x + 8 = x + 3*v for x. 1 Solve 0 = -2*n + 5*h - 3, 4*h = -10*n + 2*h + 119 - 269 for n. -14 Solve 0 = 2*d - d + h + 4 + 7 - 4, 4*d + 9*h + 43 = 0 for d. -4 Solve -s + 2*a + 24 = s - 0*s, -228*s - 4*a - 62 + 15 = -231*s for s. 1 Solve -5*p - 9*t - 15276 = -15215, 33 = -3*p - 5*t for p. 4 Solve -224 = -2*m - 10*p - 96 - 126, 0 = 4*p for m. 1 Solve -2*c + 4*c - 2*y + 34 = 0, 0 = 10*c + 63376*y - 63378*y + 130 for c. -12 Solve 0 = h + 6 + 50, w = -0*w + 5*h - h + 227 for w. 3 Solve -24*x + 23*x - 1 = 5*p, -7*p + 4*x - 131 = 0 for p. -5 Solve 500*i - 504*i - 2*m = -74, -52*i + 179 = -3*m for i. 5 Solve -3*g + 2706 = 2*p + 2612, 0 = 32*g + 2*p - 152 for g. 2 Solve -55*q + 27 = -6*d - 50*q + 43, 2*d - 5*q = 12 for d. 1 Solve 6*n + 2*z = 5*n + 18, -3*n + 6*n + 30*z + 32 - 236 = -n for n. 6 Solve x = l - 12, 3*x + 5*l + 244758 = 244754 for x. -8 Solve 0 = -2*c - w + 11, -2639429*w - 105 = -2639450*w for c. 3 Solve -l = 8*d + 86 + 47, 2*d + 159 - 301 = -174 for l. -5 Solve 4*a + 3*v - 75 = 8*a, 0*a - 26*v = 4*a - 70 for a. -15 Solve 56*t - 51*
{ "pile_set_name": "DM Mathematics" }
*m + 32 What is the k'th term of 101125, 404716, 910699, 1619074, 2529841? 101196*k**2 + 3*k - 74 What is the h'th term of 18923468, 18923470, 18923472, 18923474, 18923476, 18923478? 2*h + 18923466 What is the c'th term of -12034, -14854, -17674, -20494? -2820*c - 9214 What is the m'th term of 2267897, 2267895, 2267893, 2267891? -2*m + 2267899 What is the t'th term of -31896, -126435, -283998, -504585, -788196, -1134831? -31512*t**2 - 3*t - 381 What is the c'th term of -15888, -63589, -143090, -254385, -397468, -572333, -778974? c**3 - 15906*c**2 + 10*c + 7 What is the c'th term of 18395, 18718, 19041, 19364? 323*c + 18072 What is the p'th term of -547, -2555, -5911, -10615, -16667, -24067, -32815? -674*p**2 + 14*p + 113 What is the h'th term of -388, -745, -1068, -1357, -1612, -1833, -2020? 17*h**2 - 408*h + 3 What is the l'th term of 276171597, 552343193, 828514789, 1104686385, 1380857981, 1657029577? 276171596*l + 1 What is the x'th term of 45261, 89702, 134143, 178584? 44441*x + 820 What is the g'th term of -43255, -42159, -41065, -39973, -38883, -37795, -36709? -g**2 + 1099*g - 44353 What is the v'th term of 4699, 18897, 42527, 75559, 117963, 169709, 230767, 301107? -5*v**3 + 4746*v**2 - 5*v - 37 What is the m'th term of -21038, -21602, -22166, -22730, -23294, -23858? -564*m - 20474 What is the w'th term of 209198, 418288, 627378? 209090*w + 108 What is the d'th term of 14798582, 14798580, 14798578, 14798576, 14798574, 14798572? -2*d + 14798584 What is the w'th term of -342123, -684203, -1026283, -1368363? -342080*w - 43 What is the l'th term of 20978850, 83915416, 188809694, 335661684? 20978856*l**2 - 2*l - 4 What is the m'th term of 7112792, 7112787, 7112782, 7112777? -5*m + 7112797 What is the c'th term of -1039369, -1039248, -1039127, -1039006? 121*c - 1039490 What is the l'th term of 4, -49, -220, -563, -1132, -1981, -3164? -9*l**3 - 5*l**2 + 25*l - 7 What is the o'th term of 20, 1204, 4616, 11372, 22588, 39380, 62864? 186*o**3 - 2*o**2 - 112*o - 52 What is the a'th term of 6669518, 6669581, 6669644? 63*a + 6669455 What is the h'th term of 115, 540, 1651, 3796, 7323, 12580, 19915? 58*h**3 - 5*h**2 + 34*h + 28 What is the w'th term of 5229, 10456, 15657, 20814, 25909? -3*w**3 + 5*w**2 + 5233*w - 6 What is the n'th term of 5851, -45567, -131263, -251237, -405489? -17139*n**2 - n + 22991 What is the j'th term of -515257, -4121912, -13911377, -32975056, -64404353, -111290672, -176725417, -263799992? -515234*j**3 - j**2 - 14*j - 8 What is the c'th term of 1258, -522, -2302, -4082? -1780*c + 3038 What is the j'th term of 205724, 411564, 617404, 823244, 1029084, 1234924? 205840*j - 116 What is the a'th term of -37251, -74181, -111021, -147771, -184431, -221001, -257481? 45*a**2 - 37065*a - 231 What is the h'th term of 5327848, 5327847, 5327846, 5327845? -h + 5327849 What is the l'th term of 3742, -6302, -16346, -26390, -36434, -46478? -10044*l + 13786 What is the j'th term of 26073899, 26073902, 26073905, 26073908? 3*j + 26073896 What is the w'th term of 842372, 842377, 842372, 842357, 842332, 842297, 842252? -5*w**2 + 20*w + 842357 What is the x'th term of 23008, 184081, 621298, 1472737, 2876476, 4970593? 23013*x**3 - 6*x**2 + 1 What is the b'th term of -15406, -30653, -45862, -61033? 19*b**2 - 15304*b - 121 What is the z'th term of -6577464, -13154910, -19732356, -26309802, -32887248, -39464694? -6577446*z - 18 What is the y'th term of -5736170, -5736214, -5736258, -5736302, -5736346, -5736390? -44*y - 5736126 What is the w'th term of 30975, 124030, 279059, 496062? 30987*w**2 + 94*w - 106 What is the r'th term of -320320, -640539, -960758, -1280977? -320219*r - 101 What is the b'th term of 9277750, 18555502, 27833258, 37111018, 46388782? 2*b**2 + 9277746*b + 2 What is the j'th term of 23018977, 46037951, 69056925, 92075899, 115094873, 138113847? 23018974*j + 3 What is the l'th term of 16229, 16935, 17641? 706*l + 15523 What is the m'th term of 526046, 1051966, 1577888, 2103812, 2629738, 3155666, 3681596? m**2 + 525917*m + 128 What is the k'th term of 8281, 10580, 12879? 2299*k + 5982 What is the g'th term of 109871, 109990, 110107, 110222, 110335? -g**2 + 122*g + 109750 What is the i'th term of -123, -1084, -2869, -5454, -8815, -12928, -17769, -23314? 4*i**3 - 436*i**2 + 319*i - 10 What is the r'th term of 6278, 12830, 19382, 25934, 32486? 6552*r - 274 What is the n'th term of 301, 530, 911, 1444, 2129, 2966, 3955? 76*n**2 + n + 224 What is the m'th term of 261676, 261654, 261632, 261610? -22*m + 261698 What is the p'th term of -7572903, -7572905, -7572917, -7572945, -7572995? -p**3 + p**2 + 2*p - 7572905 What is the r'th term of -2544, -5149, -7824, -10605, -13528, -16629? -6*r**3 + r**2 - 2566*r + 27 What is the q'th term of 2888, 5926, 8926, 11888, 14812, 17698? -19*q**2 + 3095*q - 188 What is the p'th term of 1480002, 1479903, 1479804? -99*p + 1480101 What is the y'th term of -512698, -1025391, -1538084? -512693*y - 5 What is the t'th term of -1215723, -2431371, -3647019, -4862667, -6078315? -1215648*t - 75 What is the z'th term of 11620, 14295, 16970, 19645? 2675*z + 8945 What is the a'th term of 1342, 1429, 1550, 1711, 1918, 2177? a**3 + 11*a**2 + 47*a + 1283 What is the j'th term of -1158, -2662, -4770, -7482? -302*j**2 - 598*j - 258 What is the y'th term of 20106, 20702, 21692, 23076, 24854? 197*y**2 + 5*y + 19904 What is the k'th term of -1523996, -1524022, -1524048? -26*k - 1523970 What is the f'th term of 579, 321, 63, -195, -453, -711? -258*f + 837 What is the z'th term of -922922, -1845845, -2768768? -922923*z + 1 What is the n'th term of -304798, -304981, -305166, -305353, -305542, -305733? -n**2 - 180*n - 304617 What is the k'th term of 943, 6869, 22695, 53371, 103847, 179073, 283999? 825*k**3 + 151*k - 33 What is the s'th term of 43229, 172310, 387443, 688628, 1075865, 1549154, 2108495? 43026*s**2 + 3*s + 200 What is the f'th term of -7914, -35132, -81640, -147432, -232502, -336844? f**3 - 9651*f**2 + 1728*f + 8 What is the f'th term of -18411, -36563, -54457, -72093, -89471, -106591, -123453? 129*f**2 - 18539*f - 1 What is the s'th term of 332117, 664022, 995927, 1327832, 1659737? 331905*s + 212 What is the l'th term of 237, 832, 1941, 3564, 5701, 8352, 11517? 257*l**2 - 176*l + 156 What is the c'th term of 632, -2572, -7922, -15424, -25084, -36908? -c**3 - 1067*c**2 + 4*c + 1696 What is the f'th term of 15407, 26199, 36987, 47771, 58551, 69327? -2*f**2 + 10798*f + 4611 What is the y'th term of -10032374, -10032361, -10032348, -10032335, -10032322? 13*y - 10032387 What is the f'th term of 42182, 54298, 66414, 78530? 12116*f + 30066 What is the t'th term of 315881, 631761, 947643, 1263527? t**2 + 315877*t + 3 What is the r'th term of -484936, -969808, -1454680, -1939552, -2424424? -484872*r - 64 What is the d'th term of 560, 1375, 2686, 4487, 6772? -d**3 + 254*d**2 + 60*d + 247 What is the h'th term of 2161, 7174, 15567, 27340? 1690*h**2 - 57*h + 528 What is the x'th term of -287544, -574947, -862350, -1149753, -1437156, -1724559? -287403*x - 141 What is the y'th term of 65633, 262502, 590619, 1049984, 1640597? 65624*y**2 - 3*y + 12 What is the m'th term of 215, 818, 2083, 4226, 7463, 12010? 36*m**3 + 115*m**2 + 6*m + 58 What is the x'th term of -19992211, -19992212, -19992213, -19992214, -19992215, -19992216? -x - 19992210 What is the c'th term of -398590, -796971, -1195148, -1593121, -1990890, -2388455? 102*c**2 - 398687*c - 5 What is the i'th term of 48918986, 48918992, 48918998, 48919004, 48919010, 48919016? 6*i + 48918980 What is the k'th term of -1146050, -1145790, -1145530? 260*k - 1146310 What is the k'th term of -20533, -20386, -20223, -20044, -19849, -19638, -19411? 8*k**2 + 123*k - 20664 What is the y'th term of -7916014, -15832028, -23748042, -31664056, -39580070? -7916014*y What is the m'th term of 1685, 11035, 35743, 83489, 161953? 1280*m**3 - m**2 + 393*m + 13 What is the h'th term of 45958441, 45958437, 45958433, 45958429, 45958425, 45958421? -4*h + 45958445 What is the l'th term of 18732, 43486, 68240, 92994? 24754*l - 6022 What is the q'th term of -76481, -76466, -76449, -76430, -76409? q**2 + 12*q - 76494 What is the q'th term of 1374203, 1374197, 1374203, 1374227, 1374275, 1374353, 1374467? q**3 -
{ "pile_set_name": "DM Mathematics" }
. 75.31 What is -0.061248162 rounded to four dps? -0.0612 What is 102406.9654 rounded to the nearest ten? 102410 What is 289296679.5 rounded to the nearest 10000? 289300000 What is -0.007921188409 rounded to four decimal places? -0.0079 Round -216.4443213 to two decimal places. -216.44 What is 19.22068022 rounded to 3 dps? 19.221 What is -0.0001023528293 rounded to six dps? -0.000102 Round -4737.572406 to the nearest 10. -4740 What is 74830476.2 rounded to the nearest ten thousand? 74830000 What is 0.000214058406 rounded to six decimal places? 0.000214 What is 47.7498207 rounded to one dp? 47.7 Round -384838035.5 to the nearest one million. -385000000 Round -91572554 to the nearest 1000000. -92000000 Round -1.6432409828 to 5 dps. -1.64324 Round -275.816668 to 0 decimal places. -276 What is 5733006 rounded to the nearest one million? 6000000 What is -152221.79773 rounded to the nearest ten thousand? -150000 What is 57872254 rounded to the nearest 1000000? 58000000 Round 0.0019625976 to 3 dps. 0.002 Round 32843528.99 to the nearest ten thousand. 32840000 What is -32.853613 rounded to the nearest ten? -30 Round -0.0000006182859 to seven decimal places. -0.0000006 What is -0.002116369582 rounded to five decimal places? -0.00212 What is -4.18624 rounded to one dp? -4.2 What is 0.000449391146 rounded to seven decimal places? 0.0004494 Round 481.0193828 to 2 dps. 481.02 Round 0.0173743424 to seven decimal places. 0.0173743 Round 1905102749 to the nearest one million. 1905000000 Round 0.3672646987 to 5 dps. 0.36726 What is -494949440 rounded to the nearest one million? -495000000 What is -27917007 rounded to the nearest 1000? -27917000 What is -912101799 rounded to the nearest 100000? -912100000 Round -1011771.38 to the nearest 10000. -1010000 Round -5200769.3 to the nearest one thousand. -5201000 Round -265.118562 to the nearest one hundred. -300 Round -40.69876355 to 0 decimal places. -41 Round -2.57834763 to three dps. -2.578 What is -4.5156678 rounded to 3 decimal places? -4.516 What is -672.1579546 rounded to the nearest one hundred? -700 Round 0.00001477559125 to 7 dps. 0.0000148 What is -214404.542 rounded to the nearest 100? -214400 What is 230282720 rounded to the nearest one million? 230000000 Round 7583.95582 to the nearest ten. 7580 What is -363773.64 rounded to the nearest one thousand? -364000 What is -0.00004736695 rounded to seven decimal places? -0.0000474 What is -20092145.8 rounded to the nearest 10000? -20090000 Round 0.0112604619 to 6 decimal places. 0.01126 Round -3799.679844 to the nearest 10. -3800 What is 3527.68722 rounded to the nearest 10? 3530 What is -18564543410 rounded to the nearest one million? -18565000000 Round 0.00000636827028 to 6 dps. 0.000006 What is -0.00333486101 rounded to six dps? -0.003335 Round -0.23156162 to two decimal places. -0.23 Round -275.6301914 to two dps. -275.63 What is -1006.4507871 rounded to zero decimal places? -1006 What is -31.8556327 rounded to 1 dp? -31.9 Round -388120921.7 to the nearest ten thousand. -388120000 Round -0.00069050522 to six dps. -0.000691 What is 985841.02 rounded to the nearest 100000? 1000000 What is -0.00001062773 rounded to seven dps? -0.0000106 What is 0.549669555 rounded to four decimal places? 0.5497 Round -0.177855173 to 5 dps. -0.17786 Round -1893040.853 to the nearest 10000. -1890000 What is 938846.63 rounded to the nearest ten thousand? 940000 What is 182.27860653 rounded to 3 decimal places? 182.279 Round 5.4029158 to 3 decimal places. 5.403 What is -30606616960 rounded to the nearest 1000000? -30607000000 What is 0.00070188547 rounded to 6 decimal places? 0.000702 Round -0.00015834574714 to five dps. -0.00016 Round -0.01524811327 to 5 decimal places. -0.01525 Round 213163160 to the nearest 1000000. 213000000 What is -0.0360946577 rounded to two decimal places? -0.04 What is -7.4815213 rounded to the nearest integer? -7 What is 26071190.9 rounded to the nearest one hundred thousand? 26100000 What is -0.00000049986751 rounded to 7 dps? -0.0000005 What is 0.000002224883247 rounded to 6 dps? 0.000002 What is -26034.9237 rounded to the nearest 100? -26000 What is -319942.9835 rounded to the nearest 1000? -320000 What is 0.00000634372499 rounded to 7 dps? 0.0000063 What is -2.5726891334 rounded to 1 decimal place? -2.6 Round 766.698745 to the nearest ten. 770 Round 45891.4558 to the nearest ten thousand. 50000 What is -3344337.52 rounded to the nearest 10000? -3340000 Round 0.00293305459 to 6 decimal places. 0.002933 What is -1101277270 rounded to the nearest one hundred thousand? -1101300000 Round -0.000067627723 to 5 decimal places. -0.00007 What is -0.001675308919 rounded to five dps? -0.00168 Round 4187767.5 to the nearest one hundred thousand. 4200000 What is -11662.6849 rounded to the nearest one hundred? -11700 Round -9.75184519 to 1 dp. -9.8 What is 0.0080297545 rounded to four dps? 0.008 What is -633583.1556 rounded to the nearest 10? -633580 Round -2.7695316 to 2 dps. -2.77 Round -81.78654323 to 2 dps. -81.79 Round 219.49705 to 2 decimal places. 219.5 What is -0.00039932985 rounded to four dps? -0.0004 Round -0.0005785385 to 6 dps. -0.000579 Round 586991927 to the nearest 1000000. 587000000 What is 0.0098223574 rounded to five dps? 0.00982 Round -0.000008774139 to 7 decimal places. -0.0000088 What is -473524.545 rounded to the nearest 100? -473500 Round -174709915 to the nearest ten thousand. -174710000 Round 0.6775686698 to four decimal places. 0.6776 What is 909712.836 rounded to the nearest 100? 909700 What is -3107029.7 rounded to the nearest one thousand? -3107000 Round 64460588 to the nearest ten thousand. 64460000 What is -0.000207887359 rounded to five dps? -0.00021 What is -0.426973821 rounded to two dps? -0.43 What is -27787568.51 rounded to the nearest one hundred thousand? -27800000 Round 5632.25192 to the nearest one thousand. 6000 Round 8313.5722 to the nearest one hundred. 8300 Round 3728960070 to the nearest 100000. 3729000000 What is 10571.434073 rounded to one dp? 10571.4 Round -308.551082 to the nearest 10. -310 What is 40.8423277 rounded to two decimal places? 40.84 Round -223172.018 to the nearest 100. -223200 Round -16928019.48 to the nearest 100000. -16900000 Round 0.47167541 to three decimal places. 0.472 What is 0.0000008211644 rounded to 6 dps? 0.000001 What is -8905651.9 rounded to the nearest 100000? -8900000 Round -0.000013991198 to six dps. -0.000014 Round -1511105990 to the nearest 100000. -1511100000 Round 1.364956099 to 1 decimal place. 1.4 Round -0.0564483773 to three decimal places. -0.056 What is 0.0076273875 rounded to four decimal places? 0.0076 Round 0.00041941415 to 5 decimal places. 0.00042 What is -45.6635798 rounded to two decimal places? -45.66 Round -13537696.09 to the nearest 1000000. -14000000 What is -23017264680 rounded to the nearest 1000000? -23017000000 Round -0.000066110993 to five dps. -0.00007 Round 26.076341 to 0 decimal places. 26 What is 176354253.6 rounded to the nearest 1000000? 176000000 What is -0.00139794782 rounded to five decimal places? -0.0014 What is -2225.597328 rounded to the nearest 100? -2200 What is -4526180.7 rounded to the nearest one hundred thousand? -4500000 What is -35132.5222 rounded to the nearest 100? -35100 What is -0.0003979262536 rounded to 7 dps? -0.0003979 Round 89347.2634 to the nearest one thousand. 89000 What is 952302.6 rounded to the nearest one million? 1000000 Round 224980264 to the nearest one hundred thousand. 225000000 What is -488272.61 rounded to the nearest ten thousand? -490000 What is -5332.3794 rounded to the nearest 1000? -5000 Round 445327527.8 to the nearest 1000. 445328000 Round 688407.18 to the nearest one thousand. 688000 What is 665950.798 rounded to the nearest 100? 666000 Round 1.9942758 to three dps. 1.994 What is -0.018845824 rounded to four decimal places? -0.0188 Round -243095128.3 to the nearest ten thousand. -243100000 Round 0.4007806351 to two dps. 0.4 Round 49304298.5 to the nearest 10000. 49300000 What is -0.052739132 rounded to three decimal places? -0.053 What is 114.4946214 rounded to 3 dps? 114.495 What is -1678900414.8 rounded to the nearest 1000000? -1679000000 What is 1262196768 rounded to the nearest one hundred thousand?
{ "pile_set_name": "DM Mathematics" }
en two letters picked without replacement from fkewxwkwkxxxkekx. 1/16 What is prob of sequence bjr when three letters picked without replacement from {j: 1, t: 1, b: 1, v: 1, r: 1}? 1/60 What is prob of sequence tt when two letters picked without replacement from {n: 14, g: 1, r: 1, t: 2, b: 1}? 1/171 What is prob of sequence umk when three letters picked without replacement from eebmkudmdmudkd? 1/182 Two letters picked without replacement from {b: 4, s: 1, p: 2, f: 1, a: 1}. What is prob of sequence bf? 1/18 Three letters picked without replacement from bbbbcccbbb. What is prob of sequence bbb? 7/24 What is prob of sequence zt when two letters picked without replacement from {z: 3, t: 1}? 1/4 Two letters picked without replacement from ppwpppeelplwlepppp. What is prob of sequence pw? 10/153 Three letters picked without replacement from {k: 2, a: 1, y: 7, w: 1, r: 2, b: 1}. Give prob of sequence rkk. 1/546 Four letters picked without replacement from {x: 5, o: 15}. What is prob of sequence ooxx? 35/969 What is prob of sequence jmq when three letters picked without replacement from {j: 1, m: 2, d: 3, q: 1}? 1/105 Calculate prob of sequence qqq when three letters picked without replacement from {q: 9, b: 2, c: 1, d: 1}. 42/143 Four letters picked without replacement from csrrreerereerssers. What is prob of sequence cree? 7/2448 Two letters picked without replacement from {z: 4, t: 16}. Give prob of sequence tt. 12/19 Two letters picked without replacement from {y: 2, v: 1, u: 2}. What is prob of sequence vy? 1/10 Two letters picked without replacement from {t: 1, j: 2, k: 1}. What is prob of sequence tj? 1/6 Two letters picked without replacement from {p: 7, y: 2, v: 11}. Give prob of sequence vy. 11/190 Three letters picked without replacement from {d: 1, f: 1, n: 2, z: 2, k: 2}. What is prob of sequence fkn? 1/84 Two letters picked without replacement from tttktktt. Give prob of sequence kt. 3/14 Two letters picked without replacement from ukuikkwiwwwwwiuiwk. What is prob of sequence kk? 2/51 Calculate prob of sequence dqy when three letters picked without replacement from oyyoyyqqqhohodhhhy. 5/1632 Two letters picked without replacement from {m: 3, j: 3, a: 6, c: 7}. What is prob of sequence cm? 7/114 Calculate prob of sequence af when two letters picked without replacement from hpcpcfphcvav. 1/132 What is prob of sequence zzx when three letters picked without replacement from {z: 9, x: 2}? 8/55 Four letters picked without replacement from {d: 8, k: 1, x: 11}. What is prob of sequence xdkd? 77/14535 What is prob of sequence kkee when four letters picked without replacement from {e: 5, k: 7}? 7/99 Four letters picked without replacement from {h: 1, t: 1, r: 2, o: 2}. What is prob of sequence htrr? 1/180 What is prob of sequence uq when two letters picked without replacement from zumpopq? 1/42 Three letters picked without replacement from {q: 2, f: 1, d: 4, m: 1, c: 1}. What is prob of sequence qfc? 1/252 Calculate prob of sequence nq when two letters picked without replacement from {q: 1, n: 3, h: 3}. 1/14 Calculate prob of sequence mymy when four letters picked without replacement from {m: 17, y: 3}. 4/285 Calculate prob of sequence fbgb when four letters picked without replacement from {y: 1, b: 2, g: 1, f: 1, l: 2, a: 1}. 1/840 What is prob of sequence mc when two letters picked without replacement from mmmmmmcmmmmmvmm? 13/210 Four letters picked without replacement from {l: 1, p: 1, t: 8, n: 1, u: 4}. What is prob of sequence ulnu? 1/2730 What is prob of sequence bdb when three letters picked without replacement from dwwbwbb? 1/35 Calculate prob of sequence kb when two letters picked without replacement from kbbbkb. 4/15 Two letters picked without replacement from {z: 2, f: 2, o: 2, s: 1, h: 3, v: 2}. Give prob of sequence sf. 1/66 Four letters picked without replacement from {r: 3, d: 1, m: 4, w: 5, g: 1}. What is prob of sequence rmdw? 5/2002 Two letters picked without replacement from {u: 1, l: 1, k: 2, j: 1, p: 2, d: 1}. What is prob of sequence du? 1/56 Two letters picked without replacement from {m: 1, r: 19}. What is prob of sequence rm? 1/20 Calculate prob of sequence in when two letters picked without replacement from niini. 3/10 Two letters picked without replacement from jqjqqqqq. Give prob of sequence jj. 1/28 Three letters picked without replacement from {r: 2, k: 3, a: 10}. What is prob of sequence kkr? 2/455 Three letters picked without replacement from {i: 5, a: 7}. What is prob of sequence aia? 7/44 What is prob of sequence bqb when three letters picked without replacement from {l: 1, q: 2, r: 1, b: 8, k: 4}? 1/30 Three letters picked without replacement from {q: 2, g: 1, m: 3, k: 4, n: 9}. Give prob of sequence nqk. 4/323 Three letters picked without replacement from {x: 14, v: 5}. What is prob of sequence xxx? 364/969 Three letters picked without replacement from {t: 5, p: 7}. What is prob of sequence ppp? 7/44 What is prob of sequence kkh when three letters picked without replacement from {k: 3, h: 15}? 5/272 What is prob of sequence zd when two letters picked without replacement from {p: 1, z: 1, d: 1, h: 2, w: 1, u: 1}? 1/42 What is prob of sequence cub when three letters picked without replacement from {c: 5, b: 3, h: 2, u: 2}? 1/44 Calculate prob of sequence be when two letters picked without replacement from rresbhub. 1/28 What is prob of sequence ol when two letters picked without replacement from ozzolzzllyyzloozzly? 10/171 Three letters picked without replacement from {d: 4, p: 1, r: 1, n: 2, y: 3, x: 1}. Give prob of sequence rny. 1/220 What is prob of sequence udud when four letters picked without replacement from iduduuiiuudd? 2/99 What is prob of sequence ne when two letters picked without replacement from {e: 1, o: 3, n: 1}? 1/20 Calculate prob of sequence ji when two letters picked without replacement from wxzziiiojxxi. 1/33 What is prob of sequence jjjm when four letters picked without replacement from jjmjjjjjjjmj? 4/33 Calculate prob of sequence zg when two letters picked without replacement from ttztzzggtgggfg. 9/91 Two letters picked without replacement from ccxccccbxdmxxdcmlxxc. What is prob of sequence bl? 1/380 What is prob of sequence aa when two letters picked without replacement from {a: 5, o: 5}? 2/9 Four letters picked without replacement from mxxxxxxxxxxxxmxxxxxx. What is prob of sequence xxmm? 1/190 Calculate prob of sequence yh when two letters picked without replacement from fffyffhhhh. 2/45 Three letters picked without replacement from {j: 2, u: 4, v: 1, z: 1, i: 4, r: 2}. What is prob of sequence ujr? 2/273 Three letters picked without replacement from mmmmimimmiiimiiimi. What is prob of sequence iii? 7/68 What is prob of sequence bf when two letters picked without replacement from rbwfrtrttqqwtrt? 1/210 What is prob of sequence qvv when three letters picked without replacement from {p: 1, q: 1, v: 2}? 1/12 Four letters picked without replacement from {i: 4, l: 10}. What is prob of sequence illi? 45/1001 Three letters picked without replacement from rsssuvvrvvs. What is prob of sequence uvv? 2/165 Three letters picked without replacement from ocouuouggouoooou. What is prob of sequence oog? 1/30 Calculate prob of sequence shh when three letters picked without replacement from hsssbhsshbsbs. 7/286 Four letters picked without replacement from pisjeispeiei. What is prob of sequence ipjs? 2/1485 What is prob of sequence bj when two letters picked without replacement from {b: 4, p: 9, j: 2, t: 4}? 4/171 Calculate prob of sequence dj when two letters picked without replacement from dekgj. 1/20 Calculate prob of sequence wwna when four letters picked without replacement from {a: 5, k: 1, j: 1, n: 2, w: 2, c: 2}. 1/858 Four letters picked without replacement from kymk. What is prob of sequence kkym? 1/12 Three letters picked without replacement from {d: 2, s: 1, x: 2, b: 11}. What is prob of sequence sbd? 11/1680 Three letters picked without replacement from {g: 15, v: 4}. Give prob of sequence vgg. 140/969 Three letters picked without replacement from ossviioiusuuiuvuouiu. What is prob of sequence ooi? 1/228 What is prob of sequence xsr when three letters picked without replacement from {s:
{ "pile_set_name": "DM Mathematics" }
t common factor of 181210 and 310. 10 Calculate the greatest common factor of 108 and 2034342. 54 What is the highest common factor of 22806 and 2394? 126 Calculate the greatest common factor of 32280 and 285. 15 What is the highest common factor of 3424 and 128? 32 Calculate the highest common divisor of 90 and 690. 30 Calculate the highest common divisor of 80534 and 402. 134 Calculate the highest common factor of 60798 and 96. 6 What is the greatest common factor of 8676 and 2502? 18 Calculate the highest common factor of 66164 and 56. 28 What is the highest common divisor of 752 and 34451? 47 What is the highest common factor of 98718 and 18? 6 Calculate the greatest common divisor of 127765 and 2024. 253 Calculate the highest common factor of 4190 and 19274. 838 What is the greatest common factor of 326 and 4334333? 163 What is the greatest common divisor of 1353 and 144? 3 What is the greatest common factor of 885 and 218005? 295 What is the greatest common divisor of 140 and 5530? 70 Calculate the greatest common divisor of 18 and 578196. 18 Calculate the greatest common divisor of 372 and 732. 12 What is the highest common factor of 30 and 800? 10 Calculate the greatest common factor of 18192 and 21732. 12 Calculate the highest common factor of 366 and 1523475. 183 What is the greatest common divisor of 3991 and 2925? 13 What is the highest common factor of 8582 and 28? 14 Calculate the greatest common divisor of 1760 and 3580. 20 What is the greatest common divisor of 48363 and 282? 141 Calculate the greatest common divisor of 44190 and 27. 9 What is the highest common factor of 116 and 1436428? 116 What is the greatest common factor of 18582 and 72? 6 Calculate the greatest common factor of 56 and 13804. 28 Calculate the greatest common divisor of 45883 and 119. 17 What is the greatest common factor of 12349 and 3728? 233 Calculate the highest common factor of 2321 and 1309. 11 What is the highest common divisor of 13739 and 297? 11 Calculate the greatest common factor of 87 and 280227. 87 Calculate the highest common factor of 36399 and 297. 33 Calculate the greatest common divisor of 187656 and 224. 56 Calculate the highest common divisor of 238070 and 15960. 1330 Calculate the greatest common divisor of 72 and 204632. 8 Calculate the highest common factor of 16 and 76344. 8 Calculate the greatest common divisor of 20081 and 1161. 43 What is the highest common factor of 2237 and 19? 1 Calculate the greatest common divisor of 20 and 57720. 20 Calculate the highest common divisor of 256 and 149824. 64 What is the greatest common divisor of 4625 and 251600? 925 What is the highest common factor of 14 and 370034? 14 Calculate the highest common factor of 3562 and 6302. 274 What is the greatest common factor of 414 and 722154? 138 What is the greatest common divisor of 18 and 1782711? 9 Calculate the greatest common factor of 14036 and 464. 116 What is the greatest common divisor of 37074 and 68804? 334 What is the greatest common factor of 969 and 44251? 323 What is the greatest common factor of 124 and 1032517? 31 What is the highest common divisor of 16949712 and 52? 52 Calculate the highest common factor of 744499 and 14. 7 What is the highest common divisor of 336 and 532112? 112 What is the highest common divisor of 3654 and 70470? 522 Calculate the highest common factor of 53339 and 572. 143 Calculate the highest common divisor of 34485 and 726. 363 Calculate the greatest common factor of 2912 and 1582. 14 Calculate the greatest common factor of 23616 and 26784. 288 Calculate the greatest common factor of 587530 and 164. 82 Calculate the greatest common factor of 4065 and 345. 15 Calculate the highest common factor of 160 and 110624. 32 Calculate the greatest common divisor of 22 and 295262. 22 Calculate the greatest common factor of 230 and 17848. 46 What is the highest common factor of 224620 and 4400? 220 Calculate the greatest common divisor of 8241 and 4. 1 Calculate the highest common factor of 58935 and 15. 15 Calculate the greatest common factor of 72 and 577088. 8 Calculate the greatest common factor of 8196 and 237. 3 Calculate the highest common divisor of 50115 and 1365. 195 Calculate the greatest common divisor of 98 and 18. 2 Calculate the highest common divisor of 13225537 and 29. 29 Calculate the highest common factor of 121957 and 33. 11 Calculate the greatest common factor of 428 and 4387. 107 Calculate the greatest common divisor of 294 and 96582. 6 Calculate the highest common factor of 2985 and 404766. 597 What is the greatest common factor of 92 and 838212? 92 What is the highest common factor of 91 and 306007? 13 What is the highest common divisor of 114 and 537833? 19 What is the greatest common divisor of 74 and 131498? 74 What is the highest common divisor of 152 and 122? 2 What is the greatest common factor of 105 and 12369? 21 What is the highest common divisor of 3836 and 30548? 28 What is the greatest common factor of 42 and 37254? 42 What is the greatest common factor of 14 and 3820411? 7 Calculate the greatest common divisor of 84 and 43197. 21 What is the greatest common factor of 7125 and 494? 19 What is the highest common divisor of 2164 and 411701? 541 What is the highest common divisor of 175907 and 1537? 53 What is the highest common divisor of 431 and 20257? 431 What is the highest common factor of 73008 and 3456? 432 What is the greatest common divisor of 97152 and 12903? 759 What is the highest common divisor of 27636 and 4431? 21 Calculate the highest common divisor of 707 and 1344310. 101 Calculate the greatest common divisor of 56798 and 21. 7 What is the highest common factor of 487501 and 294? 49 Calculate the highest common factor of 41 and 285319. 41 Calculate the highest common divisor of 9 and 2804814. 9 What is the highest common factor of 2092 and 1130203? 523 What is the highest common factor of 34531 and 112? 7 Calculate the greatest common divisor of 6 and 24363. 3 Calculate the highest common divisor of 38 and 3861598. 38 Calculate the highest common divisor of 10001 and 43840. 137 Calculate the greatest common factor of 6405 and 4935. 105 Calculate the highest common factor of 33774 and 12. 6 Calculate the highest common divisor of 29916 and 252. 36 What is the highest common divisor of 1504 and 97901? 47 Calculate the greatest common divisor of 290087 and 203. 203 Calculate the highest common factor of 6887 and 17945. 97 What is the highest common factor of 352 and 902? 22 What is the greatest common divisor of 24944 and 1984? 16 Calculate the highest common divisor of 2173 and 18409. 41 What is the greatest common divisor of 34 and 22372? 34 Calculate the highest common factor of 37990 and 638. 58 Calculate the greatest common divisor of 1558 and 342. 38 Calculate the highest common factor of 1426020 and 60. 60 Calculate the greatest common divisor of 118759 and 1133. 103 What is the greatest common factor of 9330 and 19455? 15 What is the greatest common divisor of 13452 and 826? 118 What is the greatest common divisor of 125 and 109085? 5 Calculate the greatest common divisor of 99926 and 272. 34 Calculate the highest common factor of 18921 and 80801. 119 What is the highest common factor of 17316 and 592? 148 Calculate the greatest common factor of 1646827 and 455. 91 Calculate the greatest common divisor of 33 and 52008. 33 What is the greatest common divisor of 696 and 9947? 29 What is the highest common factor of 89024 and 242248? 856 Calculate the greatest common factor of 68173 and 2. 1 Calculate the highest common factor of 117 and 255099. 39 Calculate the highest common factor of 72 and 1218852. 36 Calculate the greatest common factor of 25116 and 46851. 483 What is the highest common factor of 42 and 208446? 42 Calculate the greatest common divisor of 144 and 158336. 16 Calculate the highest common factor of 10 and 145315. 5 Calculate the greatest common divisor of 21638 and 1984. 62 What is the highest common divisor of 119573 and 109? 109 Calculate the highest common factor of 4086 and 18. 18 Calculate the highest common factor of 2065 and 5537. 7 Calculate the highest common divisor of 36 and 1105938. 18 Calculate the greatest common divisor of 1164 and
{ "pile_set_name": "DM Mathematics" }
f(s) + 4*o(s). -2*s Let u(d) = d**2 - 2*d + 6. Let r(h) = 7*h**2 - 2*h + 5. Let m(z) = 1 + 8*z - 10*z + 1 + 3 + 8*z**2. Let j(n) = -6*m(n) + 7*r(n). Calculate -5*j(p) + 4*u(p). -p**2 + 2*p - 1 Let t(m) be the first derivative of -m + 231. Suppose -4*v + 10 = v. Let c(y) = -y. What is v*c(f) + 3*t(f)? -2*f - 3 Let u(o) = 4*o**2 + 47*o - 16. Let n(q) = 10*q**2 + 118*q - 40. Calculate -5*n(i) + 12*u(i). -2*i**2 - 26*i + 8 Let o(b) = -b**2 - 3*b + 1. Let g be o(-3). Let c(z) = 2 + z - 3 + g. Let y(i) = -i. Let m(l) = 10*l. Let f(j) = -m(j) - 5*y(j). Calculate 6*c(v) + f(v). v Let b(v) be the third derivative of v**4/24 - 5*v**3/3 - 3*v**2. Let a(r) = r - 9. Give -5*a(l) + 4*b(l). -l + 5 Let n(b) = 47*b**2 + 4*b + 4. Let s(m) = 47*m**2 + 3*m + 3. Determine -3*n(d) + 4*s(d). 47*d**2 Let k(f) = 5*f - 5*f - 3 - 2 + 5*f + 6. Let q(g) = 5*g + 1. Calculate -6*k(o) + 5*q(o). -5*o - 1 Let i(j) be the third derivative of j**4/24 - 11*j**3/6 - 15*j**2. Let x be i(10). Let m(a) = -5*a - 6*a + 2*a - 2. Let d(o) = o. Calculate x*m(q) - 6*d(q). 3*q + 2 Let x(w) = -w - 1. Suppose 2*m - 4*a - 10 = 0, -5*m + 12 = -3*a - 13. Let p(f) = 2*f**2 + 2*f - 5. Determine m*x(b) - p(b). -2*b**2 - 7*b Let i(l) = -30*l**2 + 151*l - 6. Let m(v) = 38*v**2 - 150*v + 7. Give 5*i(d) + 4*m(d). 2*d**2 + 155*d - 2 Let o(m) = -79*m**3 + 4*m**2 - 3. Let w(x) = -x**3 + x**2. Give -o(n) + 4*w(n). 75*n**3 + 3 Let y(g) = 47*g**2 - 2*g + 5. Let j(a) = -48*a**2 + 2*a - 6. Give 4*j(v) + 5*y(v). 43*v**2 - 2*v + 1 Let m(i) = -2*i**3. Suppose -3*v - 3 = 0, -13 = -3*l + 8*l - 2*v. Suppose 0 = 3*c + 8 - 2. Let y(s) = 2*s**3. What is c*y(r) + l*m(r)? 2*r**3 Let f(g) = -g**3 - g + 1. Let s(u) = -144*u**3 - 162*u + 162. Determine 324*f(m) - 2*s(m). -36*m**3 Let j(i) = -24*i - 19. Let o(v) = -70*v - 56. What is 17*j(s) - 6*o(s)? 12*s + 13 Let k(u) = -3*u. Let n(i) be the third derivative of i**4/8 - 8*i**2. Let h be (-2)/6 - (-22)/(-6). Let f be (h/(-5))/((-6)/(-30)). Give f*k(o) + 5*n(o). 3*o Let a(c) = 9*c**2 + 37*c + 23. Let z(m) = -3*m**2 - 13*m - 8. What is -6*a(y) - 17*z(y)? -3*y**2 - y - 2 Suppose -3*h = -16 - 2. Suppose 15 = -3*o + h*o. Suppose o*k = -0*k + q, 2*q = 10. Let c(s) = -1. Let j(r) = -2*r + 4. Calculate k*j(g) + 5*c(g). -2*g - 1 Let m(t) = -3*t**2 - 5. Let p = -302 + 305. Let h(r) = 2*r**2 + 4. Let d(z) = -5*z - 1. Let n be d(-2). Suppose 0 = 4*f - n*f + 20. Calculate f*h(g) + p*m(g). -g**2 + 1 Let k(h) = -h**2 - h + 9. Let a(u) = -u**2 - u + 9. Let l(s) = -2*a(s) + 3*k(s). Let q be l(5). Let p(d) = 6*d + 7. Let m(o) = -o - 1. What is q*m(n) - 3*p(n)? 3*n Let z(m) = -9*m**2 - 2*m + 2. Suppose -4*x - 2*d - 2 = 0, 4*x - 5*x + 2*d - 8 = 0. Let p(v) = 17*v**2 + 5*v - 5. What is x*p(l) - 5*z(l)? 11*l**2 Let q(n) = -37*n - 42*n + 113*n - 42*n. Suppose 9*j - 7*j = -12. Let x be (1 + (-54)/3)*1. Let d(w) = 3*w. Give j*q(i) + x*d(i). -3*i Let a(w) = -6. Let u(i) = i + 226. What is -10*a(d) - 2*u(d)? -2*d - 392 Let h(y) = 8*y - 8*y + 1 - 2*y**2. Suppose -4*l + 4 = -3*k - 9, -2*k + 10 = 2*l. Let p(b) = b**2 - b. What is k*p(q) + h(q)? -q**2 - q + 1 Let l(k) = 21*k**3 - 5*k**2 - 2*k + 5. Let b(j) = j**3 - j**2 - j + 1. What is 5*b(n) - l(n)? -16*n**3 - 3*n Let b(s) = -280*s**3 - 5*s - 10. Let v(a) = -558*a**3 - 9*a - 18. Calculate 9*b(g) - 5*v(g). 270*g**3 Let q(j) = 3*j + 25. Let d(r) = r + 1. Give 4*d(m) - q(m). m - 21 Let x(a) = -a - 1. Suppose -35*p - 108 + 73 = 0. Let n(f) = -3*f + 8. Calculate p*n(w) + 4*x(w). -w - 12 Let h(v) be the first derivative of -5*v**3/3 + 3*v**2/2 + 828. Let n(r) = -29*r**2 + 3*r**2 - 1 + 15*r + r. Give -11*h(m) + 2*n(m). 3*m**2 - m - 2 Let j(a) = -5*a**3 - 6*a**2 + 4. Let t(l) = -10*l**3 - 13*l**2 + 9. Let d = -37 + 41. Suppose 2*c - 5*q + 20 = -23, -3*c + 4*q = 47. Determine c*j(o) + d*t(o). 5*o**3 + 2*o**2 Let s = 76 + -71. Let u(c) = c - 1. Let d(g) = -g**3 + 2*g**2 + 5*g - 5. What is s*u(b) - d(b)? b**3 - 2*b**2 Let g = 2 + 4. Suppose -2*l - g = -4*l. Let j(i) = 0*i + 2 - 4*i - 4*i**l - 3*i**3. Let y(k) = k**3 + k. What is j(p) + 6*y(p)? -p**3 + 2*p + 2 Let j(g) = g - 1. Suppose 2*c = -3*u, 0*c = 2*c - 3*u. Suppose 0 = r - c*r + 20. Let l be (-2 + 0)*(-10)/r. Let f(p) = -2*p. What is l*f(y) - j(y)? y + 1 Let u(h) = -9*h + 9. Suppose -6*l + 8 = 86. Let g(y) = 4*y - 5. Determine l*g(w) - 6*u(w). 2*w + 11 Suppose 0 = 5*p - p. Suppose -20 = -p*v - 5*v. Let n(c) = -v - 2 + 11*c - 2 + 3. Let l(o) = 5*o - 2. What is -5*l(x) + 2*n(x)? -3*x Let h(q) = -14*q - 19. Let b(t) = 40*t + 56. Determine -6*b(i) - 17*h(i). -2*i - 13 Let t(b) = -b**2 - 4. Let q(z) = -4*z + 23. Let k be q(4). Suppose 0 = k*i - 10*i - 12. Let o(c) = -c**2 + 1. Calculate i*o(n) - t(n). 5*n**2 Let m(l) = 5*l**2 - 2*l + 3. Let w(i) = -14*i**2 + 6*i - 9. Determine 17*m(v) + 6*w(v). v**2 + 2*v - 3 Let i(n) = -n**3 - 9*n**2 + n + 15. Let o be i(-9). Let k(j) = -j**2 - 5*j - 5. Let q(l) = l**2 + 6*l + 6. Determine o*k(c) + 5*q(c). -c**2 Let c(k) = -2*k**2 - 15*k - 3. Let r be c(-7). Let g(w) = 10 - 7 + 6*w - 7 - r. Let p(o) = -2*o + 3. Let h be (1/1)/((-3)/9). What is h*g(u) - 8*p(u)? -2*u Let z(j) = 8*j + 2. Let m(c) = 9*c + 3. Suppose -3*r + 13 = -k, -3*r = -2*k - k - 21. Determine r*z(a) - 2*m(a). 6*a Let l(q) = -7*q**3 + 43*q**3 - 8*q**2 - 7*q**3 - 9*q**3. Suppose 4*p - x + 30 = 0, 3*p + 4*x + 27 = -5. Let f(n) = -13*n**3 + 5*n**2. Calculate p*f(i) - 5*l(i). 4*i**3 Let j(h) = 555*h**2 + 2*h. Let r(q) = -11653*q**2 - 43*q. What is -43*j(w) - 2*r(w)? -559*w**2 Let a(v) = 11*v**3 - 566*v + 88. Let m(y) = -4*y**3 + 189*y - 33. Give -3*a(n) - 8*m(n). -n**3 + 186*n Let v(b) = b**2 - 6*b + 2. Let z(n) = -1. Determine v(x) + 4*z(x). x**2 - 6*x - 2 Suppose 6*a - 4*a - v - 8 = 0, -v = 0. Let x(s) = 7*s + 15. Let l(n) be the first derivative of 3*n**2/2 + 7*n + 1. Determine a*x(y) - 9*l(y). y - 3 Let u(s) = 14*s + 20. Let c = 20 + -13. Let m be (-4)/((-8)/(-10))*-1. Let b(o) = -c + m*o - 8*o - 2*o. What is -17*b(r) - 6*u(r)? r - 1 Let u = -5/111 - -565/222. Let n(f) be the first derivative of 2*f + 1/3*f**3 + u*f**2 - 6. Let c(r) = r**2 + 4*r + 1. Determine -3*c(a) + 2*n(a). -a**2 - 2*a + 1 Let y(a) = 31*a - 12. Let n(b) = 32*b - 9. Determine -5*n(h) + 4*y(h). -36*h - 3 Let j(v) = 5*v**2 - 2*v + 16. Let q(w) = 2*w**2 + w + 1. Determine -j(i) + 2*q(i). -i**2 + 4*i - 14 Let n(y) = -y + 1. Let p(z) = -3*z**3 + z**2 - 4*z + 3. Let q = -328 + 327. Give q*p(f) + 3*n(f). 3*f**3 - f**2 + f Let w(n) = -8*n**3 - 5*n**2 + 2*n + 4. Suppose -253*j + 243*j = -60. Let o(q) = -9*q**3 - 6*q**2 + 2*q + 5. Let l be (-3)/9 - 14/3. Determine j*w(u) + l*o(u). -3*u**3 + 2*u - 1 Let d(h) = h - 3. Let m(w) be the third derivative of -w**4/8 + 5*w**3/3 - 338*w**2. What is -7*d(l) - 2*m(l)? -l + 1 Let f(t) = 7*t**2 + 4*t. Let n(i) = 15*i**2 + 9*i. Suppose 2 = 7*x - 33. Suppose 14 - x = b. Determine b*f(o) - 4*n(o). 3*o**2 Let b(d) = -5*d**3 + 2*d - 3. Let z(t) = -6*t**3 + t**2 + 2*t - 4. Let k = -10 + 13. Suppose 5*v - 43 - 12 = 0. Let u = v + -15. Determine k*z(s) + u*b(s). 2*s**3 + 3*s**2 - 2*s Let d(w) = 2*w. Let y(k) = 3*k - 1. Suppose -c = -4*h - 5*c + 4, 0 = -2*h - c - 3. Calculate h*y(r) + 5*d(r). -2*r + 4 Let h(m) = -4*m. Let c(j) = 5*j. Let x(i) = i - 17. Let g be x(23). Suppose 42 = -g*z + 6. Determine z*h(k) - 5*c(k). -k Let m(d) = -5*d**3 - 2*d**2 + 593*d + 16. Let g(j) = -3*j**3 - j**2 + 395*j + 10. Calculate 8*g(w) - 5*m(w). w**3 + 2*w**2 + 195*w Let x(u) = u**2 - 1. Let n(c) be the third derivative of c**5/60 - c**3/6 + 13*c**2 + 3. Give -6*n(p) + 4*x(p). -2*p**2 + 2 Let i(j) = 247*j + 38. Let m(f) be the second derivative of -11*f**3/2 - 5*f**2/2 - 283*f. Determine -5*i(t) - 38*m(t). 19*t Let y(q) = -6*q**3 - 6*q + 5. Let n(i) = 5*i - 8 + 8 + 6*i**3 - 4 - i**3. Determine 7*n(d) + 6*y(d). -d**3 - d + 2 Let r(j) = -80 + 169 + 6*j - 86. Let z(m) = -m - 1. Determine -r(f) - 3*z(f). -3*f Let z(n) = -9954*n**2 - 316*n. Let k(a) = -158*a**2 - 5*a. Give 316*k(u) - 5*z(u). -158*u**2 Let c(g) = 27 + 5*g**2 + 3*g - 2*g**2 - 24 - 4*g**2. Suppose -14*m + 61 = 19. Let w(l) = -8*l**2 + 28*l + 28. Calculate m*w(d) - 28*c(d). 4*d**2 Let w(j) = -3*j - 3. Let z(h) = -4*h - 22. Let p(g) = 4*g + 50 - 98 + 43 - 5*g. Let v(f) = 18*p(f) - 4*z(f). Give 8*v(m) - 5*w(m). -m - 1 Let c(d) = -18*d**2 + 26. Let j(p) = -2*p**2 + 3. Let b = -155 +
{ "pile_set_name": "DM Mathematics" }
lculate 275304 - -0.46. 275304.46 What is -0.637893 minus -364? 363.362107 Calculate 0.189473 - -25.868. 26.057473 0.137 - 1235095.82 -1235095.683 Work out -439568 - 0.1. -439568.1 Subtract -285984.72 from 670. 286654.72 1.9 - -6942602 6942603.9 Calculate 664845 - 31. 664814 Work out -3843649066 - 6. -3843649072 What is -0.41 + 71.692? 71.282 What is 8795348 take away 850.2? 8794497.8 What is -120.8 minus -29746? 29625.2 6492179 + -18 6492161 What is -3 take away -750732962? 750732959 -5188589 - 1 -5188590 -0.5 + 0.033114463 -0.466885537 Sum -2.95 and 12.43531. 9.48531 4582993+8 4583001 What is the difference between -6678.889 and -0.5? 6678.389 What is 9755 minus -2042? 11797 What is the difference between 748 and -8562? 9310 What is -0.227 + 571016? 571015.773 What is the difference between -216881 and -0.02105? 216880.97895 Calculate -0.1372 - 2450743. -2450743.1372 85 - -10976877 10976962 What is -3326923 take away 0.07? -3326923.07 What is 20632 less than -17.1? -20649.1 What is 0.43 - 31090523? -31090522.57 Subtract 103429.369 from -0.5. -103429.869 -34 - 21548736 -21548770 Work out 1518239566 - -12. 1518239578 What is -1 plus -7533554? -7533555 Calculate 14.1 - 67969602. -67969587.9 Calculate -23553 - 150.1. -23703.1 0.13+-17895401 -17895400.87 What is the distance between -0.1 and -27745.81? 27745.71 Subtract -12.42 from -3.57205. 8.84795 Work out -48000 + 556. -47444 Calculate -0.2 - -396.66414. 396.46414 Add together 11748 and -2.0908. 11745.9092 What is 19667 - 0.00718? 19666.99282 Subtract 1036.924 from 4.31. -1032.614 Work out -0.106188 - -629.3. 629.193812 What is the distance between 88921627.54 and 5? 88921622.54 Add together -2655157 and -0.049. -2655157.049 Calculate 335 - -0.0380949. 335.0380949 Calculate -0.02758018 + 0.092. 0.06441982 Work out -353 - 918.148. -1271.148 Work out 39185100.39 + -2. 39185098.39 Calculate -7.5219 - 0.1614. -7.6833 What is -80980708.5 minus -0.053? -80980708.447 What is the difference between 0.03257 and 19586? 19585.96743 Subtract 69.07931293 from -0.3. -69.37931293 What is 2910065 + -60? 2910005 Put together 214.3 and 8216. 8430.3 Sum -1302.29 and -10.5. -1312.79 707171 + 26483 733654 Work out 727587 + -5422. 722165 Add 162 and -2314619. -2314457 Calculate 4 + 6520867. 6520871 What is the difference between 0.0363968 and -5732? 5732.0363968 Total of 0.5890143 and -126. -125.4109857 Calculate 0.02958 + 812131. 812131.02958 What is 2.36 less than 0.0632811? -2.2967189 Work out 77.520769 + -143. -65.479231 -0.2532751754 + -0.4 -0.6532751754 Calculate -7298 - 0.041302. -7298.041302 -363354+0.82 -363353.18 Work out 0.2392 - 903967. -903966.7608 Add -8.446212 and 0.68. -7.766212 Add together 14 and 9980.89. 9994.89 Sum 5 and -187834393. -187834388 What is -257.6827 plus -271? -528.6827 Subtract -0.3 from 45201236. 45201236.3 What is -31764131 - 0.4? -31764131.4 What is -0.0455 plus 434.25? 434.2045 What is -1083 + -1064540? -1065623 Put together 0.04 and 163910937. 163910937.04 Work out 856 + 10863325. 10864181 15235 - 48 15187 -0.5015512 - -14.3 13.7984488 What is -237823 take away 21.2? -237844.2 83+29655 29738 -48 + -1102225 -1102273 What is 55 minus 16574015.9? -16573960.9 Add together 51712 and -21. 51691 What is -0.9783 less than 107122? 107122.9783 Add together 1 and 13776828. 13776829 Sum -0.0872 and 52620. 52619.9128 Work out 662694.82505 + -4. 662690.82505 What is the distance between -567 and -32.830197? 534.169803 Calculate -0.2 + -7957885. -7957885.2 What is 0.13287212 minus 1? -0.86712788 Calculate 0 + 0.04810464. 0.04810464 -395171 - -431.43 -394739.57 What is 24.914904 plus 99? 123.914904 Calculate -466.02 - -149090. 148623.98 -0.2+123312.365 123312.165 What is -5508737112 plus 2? -5508737110 What is 3739 + 5.76561? 3744.76561 Work out 743 + -4.4985348. 738.5014652 6401169+0.3 6401169.3 What is -95188 take away -36.1? -95151.9 10.97558 + 69693 69703.97558 Work out -5.29 - 5410702. -5410707.29 Subtract -4309988 from -0.3. 4309987.7 Total of 5 and -321974497. -321974492 Work out 1.1 + -1655609. -1655607.9 Total of -14.9 and 1175508. 1175493.1 Work out -682168346 + -0.3. -682168346.3 Sum 1 and -0.238023827. 0.761976173 Calculate 0.5 + -5183619.47. -5183618.97 Calculate -125 - -5132269.6. 5132144.6 Calculate 891 + 5770300. 5771191 What is -546.5 - -37? -509.5 Work out 2 - 1780034. -1780032 What is 7.9 + -82452.7? -82444.8 What is -22277 take away 26.2? -22303.2 Work out 383608 + 98. 383706 -28814+-0.8811 -28814.8811 What is 3.291930789 less than -0.3? -3.591930789 What is 0.055269 + -340342? -340341.944731 What is -821 plus -361880? -362701 What is the difference between -17847.97 and 0? 17847.97 Subtract 0.2 from 2651723. 2651722.8 -7.4+118894373 118894365.6 Subtract -4520714649 from 5. 4520714654 Subtract 18444 from 133.699. -18310.301 Calculate -4022688.0152 - -0.5. -4022687.5152 294.4 + 87.6532 382.0532 20.277 + -88418 -88397.723 What is -6.872 plus -4772? -4778.872 Calculate -1305099 - 73. -1305172 Sum 2720 and 103.8981. 2823.8981 Sum 0.955 and 0.580691. 1.535691 What is -0.28 less than -77599? -77598.72 What is -0.938517 - 1839.6? -1840.538517 What is -15013 take away 0.2? -15013.2 What is -65807 + -6.8065? -65813.8065 Sum 3.8 and -0.09748542. 3.70251458 What is -5322 minus 2046904? -2052226 What is -16990 plus 531.06? -16458.94 Total of 3692126912 and 0.3. 3692126912.3 Add together 49380 and 124. 49504 What is the difference between -4035950 and 0.16149? 4035950.16149 -0.0741446 + -1 -1.0741446 Put together -0.1522 and -3053. -3053.1522 What is -8 - -837.23? 829.23 What is -59.51352 take away -2165? 2105.48648 Add together 57.6 and 182.93. 240.53 What is -15.7 plus -59134? -59149.7 What is the distance between 0 and 6248019? 6248019 Calculate 59439360 - -75. 59439435 Calculate 45458.7 - 1518. 43940.7 -0.5 - -108.182 107.682 What is 8.3805502 + 0.06? 8.4405502 Work out 0.5 - 4516152837. -4516152836.5 What is the distance between -0.5 and 291.52526? 292.02526 Work out 2628 - -0.83273. 2628.83273 Total of 0.0000991 and -0.074. -0.0739009 Total of -7981454 and -3. -7981457 What is -0.25 - -1436.802? 1436.552 What is 5 take away 4143733? -4143728 What is 3.654214 + -5? -1.345786 Sum 757762 and 7. 757769 What is 0.8 take away 2177068.266? -2177067.466 Sum 1132702651 and 0.12. 1132702651.12 Put together -112079434 and 0.3. -112079433.7 Add together -56545659682 and -3. -56545659685 What is -3 plus -15269129.7? -15269132.7 Add -1.641931 and 14. 12.358069 Put together 929496.51 and -2.7. 929493.81 Add together 82805254 and 0.22. 82805254.22 What is 0.39 less than 0.0472308626? -0.3427691374 Subtract -253457811 from 0.262. 253457811.262 What is -0.1 minus -110484928.3? 110484928.2 What is -9 + 1.257692255? -7.742307745 Work out -0.28938 + 0.11426. -0.17512 What is -11.740512 - -1960? 1948.259488 What is -454.5 take away -0.390231? -454.109769 Calculate -15 + 12124.43. 12109.43 Work out 5530433 + 0.086. 5530433.086 What is -8.20249 + -6? -14.20249 What is 48398 less than 60411? 12013 Add 286.78 and 5.475. 292.255 Add together 3496097 and -10. 3496087 Total of 380 and -477847.45. -477467.45 Add -159618.4 and -0.9. -159619.3 2.5 - -141776162 141776164.5 Calculate -0.4 + -137424782.1. -137424782.5 145535.51 - -15 145550.51 -0.1 + -153685.534 -153685.634 Calculate 0.035985 + 0.0767. 0.112685 Sum 13 and -367653.262. -367640.262 What is -766 - -6.47802? -759.52198 Put together -9 and -186.29376. -195.29376 3 + -1692384579 -1692384576 Add together 1.7412 and -11418.6. -11416.8588 Work out -3 - -251787483. 251787480 What is 2.1706 + -11.47614? -9.30554 Calculate 0.1185977 - 5. -4.8814023 What is 19 take away -38.4828? 57.4828 108+955.4948 1063.4948 Calculate -11263154687 - -0.3. -11263154686.7 What is -271.202 take away 199? -470.202 Calculate -1904.972 - -0.09. -1904.882 Total of 3.1 and -0.005737533. 3.094262467 26585 + -8530.18 18054.82 Subtract -5 from -68785. -68780 What is -0.03 less than -7559253? -7559252.97 What is 1.8170479622 - -0.06? 1.8770479622 Work out 71 - 4115. -4044 What is the distance between 0.3 and -1579.289? 1579.589 Total of -101 and -59.361. -160.361 What is -54.1 + 2937? 2882.9 What is 7094404 + 0.09? 7094404.09 Add together 6140.87 and 434. 6574.87 What is the differe
{ "pile_set_name": "DM Mathematics" }
- 379*p**2/2 - 287*p. Differentiate i(t) with respect to t. -1029*t**2 Let u = 89 - 86. What is the derivative of 4*h**3 + 2*h**3 - 7 - 10 - 4*h**u wrt h? 6*h**2 Let s = -4 + 10. Suppose 0 = 2*k + 6, -4*p + 2*k = 7*k - 13. What is the first derivative of -p*r - 2 - 2 + 0 - s wrt r? -7 Let w(t) be the second derivative of 6*t**6/5 - 23*t**2/2 + 20*t. Find the first derivative of w(m) wrt m. 144*m**3 What is the second derivative of 530*g + 247*g**2 - 461 + 80*g**2 + 461 wrt g? 654 What is the second derivative of 41*t**3 + 184*t - 127*t**3 + 2 - 37*t**5 + 44*t**3 + 42*t**3 wrt t? -740*t**3 Let h = -76 + 99. What is the second derivative of -11*y**2 + 23*y - 32*y**2 + 42*y - h*y wrt y? -86 Suppose m = -m - 12. Let v(y) = -13*y**2 + 21*y - 6. Let u(j) = -26*j**2 + 42*j - 13. Let l(d) = m*u(d) + 13*v(d). Find the second derivative of l(g) wrt g. -26 Suppose 2*h - 10 = -3*h. Suppose h*d - 4*c + 6*c = 24, -2*d = 3*c - 25. Find the third derivative of 11*k - 5*k**2 - k**5 - d*k wrt k. -60*k**2 Let z be (-36)/6*4/(-6). Find the third derivative of -6*k**4 - z*k**2 + 0*k**4 - 5*k**2 + 0*k**4 wrt k. -144*k Let x(v) be the first derivative of -3*v**6/2 - v**2/2 - 2*v - 186. Find the second derivative of x(l) wrt l. -180*l**3 Let k(b) be the first derivative of 49*b**4/2 - 31*b**3/3 + 94. What is the third derivative of k(x) wrt x? 588 Find the third derivative of -1 - 2 - 130*h**2 + 66*h**2 + 5*h**5 + 63*h**2 wrt h. 300*h**2 Suppose 33*o - 20 = 28*o. What is the derivative of -9 - o*c + 21 - 2*c wrt c? -6 Let x(s) be the third derivative of 151*s**6/30 - s**4/24 - 23*s**3/2 - 38*s**2 - 15. Find the first derivative of x(y) wrt y. 1812*y**2 - 1 Let z(m) = -m**2 + m - 1. Let i(n) = -6*n**2 + 2*n + 7. Let a(w) = i(w) + 4*z(w). What is the second derivative of a(k) wrt k? -20 Let o be 2*(-2 - 9/(-2)). Let j(d) be the second derivative of 4*d - o*d**2 - 3/2*d**3 + 0. What is the derivative of j(z) wrt z? -9 Let f(n) be the second derivative of -283*n**5/20 - 13*n**4/4 + 4*n + 81. What is the third derivative of f(x) wrt x? -1698 What is the second derivative of 5*o**2 - 61*o**2 - 23*o + 86*o + 1 wrt o? -112 Let m = 3 + -17. Let w be (-8)/m + (-60)/(-42). Find the first derivative of -u**2 + 0*u**w - 2*u**2 - 4 - 4*u**2 wrt u. -14*u Let u(a) be the third derivative of 0 + 1/30*a**6 + 9*a**2 + 1/12*a**5 + 0*a + 0*a**3 + 0*a**4. Find the third derivative of u(o) wrt o. 24 Let o(f) = -8*f**4 - 3*f**3 + 3*f**2 + 29*f - 53. Let t(n) = n**4 - n**3 + n**2 + 2*n + 1. Let r(h) = -o(h) + 3*t(h). Differentiate r(c) with respect to c. 44*c**3 - 23 Let t(k) be the third derivative of 16*k**2 + 0*k + 5/12*k**4 + 0 - 17/6*k**3. Find the first derivative of t(n) wrt n. 10 Let k(r) be the second derivative of 8/15*r**6 + 5*r + 0*r**2 + 0 + 0*r**3 + 0*r**5 + 3/4*r**4. Find the third derivative of k(g) wrt g. 384*g Let j(o) = -25*o - 13. Let y(d) be the first derivative of -25*d**2/2 - 14*d + 24. Let a(h) = 3*j(h) - 4*y(h). Find the first derivative of a(z) wrt z. 25 Let i be ((-8)/(-10))/(10/50). Differentiate 6*p**i - 14 + p**4 - 7*p**4 + 6*p**4 with respect to p. 24*p**3 Let c(t) be the third derivative of 11*t**6/40 + t**5/60 + 13*t**3/2 + 3*t**2 - 1. What is the derivative of c(u) wrt u? 99*u**2 + 2*u Suppose -3*m + 3 = 3*n, 2*n - 2*m = -5*m. Suppose -19 = -4*o - n*g, -g + 2 + 7 = 4*o. Differentiate 12*s - 6 - o - 1 + 1 with respect to s. 12 Let v = 100 + -92. Find the first derivative of v - 34*r + 19*r - 6 + 6 wrt r. -15 Let k(h) be the first derivative of 0*h**4 + 0*h**5 + 0*h**6 + 0*h + 0*h**2 - 11 + 4/7*h**7 - 22/3*h**3. Find the third derivative of k(z) wrt z. 480*z**3 Let w(f) = -2*f + 28. Suppose -4*q + 47 = -5. Let d be w(q). Find the third derivative of -5*p**4 - d*p**2 - 2*p**2 - 6*p**2 + 2*p**2 wrt p. -120*p Let n(h) = -9*h**4 - 4*h**3 + 2*h**2 + 12*h + 2. Let g(u) = u**3 - 2*u + 1. Let b(l) = -4*g(l) - n(l). What is the second derivative of b(v) wrt v? 108*v**2 - 4 Let v(i) = -199*i + 215. Let b(m) = -67*m + 72. Let k(j) = 7*b(j) - 2*v(j). Find the first derivative of k(o) wrt o. -71 Let b(n) be the first derivative of 809*n**2/2 - 638*n - 361. Differentiate b(q) wrt q. 809 Suppose -s = -0*s - 2. Let p(i) = i**3 - 8*i**2 + 8*i. Let r be p(7). What is the second derivative of -2*a**2 + s*a**2 + 40*a - 43*a - r*a**4 wrt a? -84*a**2 Let w(j) be the first derivative of 318*j**5/5 - 150*j**2 + 353. Find the second derivative of w(z) wrt z. 3816*z**2 Let p(w) = 13*w**4 - 2*w**3 + 35*w. Let z be -4 + (42/35)/(2/5). Let n(k) = k**4 + k**3. Let h(u) = z*p(u) - 2*n(u). Find the second derivative of h(c) wrt c. -180*c**2 Let n(c) be the third derivative of -817*c**7/210 - 65*c**4/24 + 30*c**2 - 3*c. Find the second derivative of n(p) wrt p. -9804*p**2 Let h(r) be the first derivative of -9*r + 0*r**2 + 23/4*r**4 + 2 + 0*r**3. What is the first derivative of h(t) wrt t? 69*t**2 Let f(z) be the third derivative of -17*z**5/5 - z**4/2 - z**3/6 - 24*z**2 - 1. Find the second derivative of f(c) wrt c. -408 Let s(i) = -4*i**2 - 2*i - 72. Let z(a) = -1. Let p(f) = -s(f) + 3*z(f). What is the first derivative of p(r) wrt r? 8*r + 2 Let d(o) be the third derivative of -o**4/12 - 2*o**3/3 + 46*o**2 + 1. Let s(i) = i - 4 + 0*i + 7. Let q(v) = 3*d(v) + 2*s(v). Differentiate q(r) wrt r. -4 Let v(w) = 37*w**3 + 8*w**2 - 4*w - 6. Let u(c) = 108*c**3 + 24*c**2 - 11*c - 19. Let q(r) = 4*u(r) - 11*v(r). Find the third derivative of q(y) wrt y. 150 Suppose -2*a - 60 = -14*a. What is the third derivative of -a*v**2 - 126*v**5 - 39*v**2 + 103*v**5 wrt v? -1380*v**2 Find the third derivative of 3*s - 116*s**4 + s + 271*s**3 - 2*s**2 - 271*s**3 wrt s. -2784*s Let j = 24 + -21. What is the second derivative of 51*r**j - 17*r**4 + 14*r - 51*r**3 wrt r? -204*r**2 Let d(b) be the second derivative of 1081*b**4/12 - 27*b**2/2 + 202*b. Find the first derivative of d(a) wrt a. 2162*a Let c(v) be the first derivative of 0*v**2 - 27 - 29/5*v**5 + 0*v - 32/3*v**3 + 0*v**4. What is the third derivative of c(w) wrt w? -696*w Let n(j) = -j**3 + 10*j**2 + 3. Let u be n(10). Find the second derivative of 66*b**3 - 16*b + 10*b**5 - 66*b**u wrt b. 200*b**3 Let g = -83 - -85. Let b(y) be the third derivative of 0 + 1/40*y**6 + 0*y**4 + 0*y + 0*y**3 - 1/20*y**5 - y**g. What is the third derivative of b(w) wrt w? 18 Differentiate -131 - 32*a - 10*a - 8*a - 15 + 2*a**4 with respect to a. 8*a**3 - 50 Let s(j) be the third derivative of 21*j**6/40 + 63*j**4/8 + 113*j**2. What is the second derivative of s(l) wrt l? 378*l Suppose -k - 7 = 2*v + 1, 4*k = -3*v - 7. Let i be 8/(-6)*(-3)/2. What is the third derivative of -f**i + 12*f**6 - 7*f**k - 5*f**6 wrt f? 840*f**3 Let r(k) be the third derivative of 0*k**3 + 0*k**5 + 0*k**6 - k**2 + 0 + 1/2*k**4 - 1/70*k**7 + 0*k. Find the second derivative of r(c) wrt c. -36*c**2 Suppose 20 = 4*g + 4. Suppose 14*h - 110 = 3*h. What is the second derivative of 15*y**4 - 2*y - 6*y**4 - h*y**g wrt y? -12*y**2 Let f be 2/(6/9)*24/9. Differentiate -2 - 24 + 28*w - f*w wrt w. 20 Let f(q) be the second derivative of 3*q**2 + 5*q + 31/12*q**4 + 0 + 0*q**3. Differentiate f(m) with respect to m. 62*m Let h(n) be the third derivative of n**7/105 + n**6/40 - n**3/3 - 3*n**2. Let y(q) be the first derivative of h(q). What is the third derivative of y(g) wrt g? 48 Let i(k) be the first derivative of k**8/840 + 3*k**4/2 + 38*k**3/3 + 30. Let x(p) be the third derivative of i(p). What is the first derivative of x(v) wrt v? 8*v**3 Let i(f) be the first derivative of 60*f**3 + f**2/2 - 225*f - 286. What is the second derivative of i(j) wrt j? 360 Find the third derivative of 48*m**5 - 5*m**5 - 101*m**5 - 159*m**2 wrt m. -3480*m**2 Let r(h) = 116*h**4 - 3*h**3 + 3*h**2 + 6*h + 104. Let m(u) = 116*u**4 - 4*u**3 + 4*u**2 + 8*u + 104. Let w(q) = -3*m(q) + 4*r(q). Differentiate w(j) wrt j. 464*j**3 Let i = 152 + -152. Let z(q) be the second derivative of 0*q**2 + 5/6*q**3 + q + i*q**4 + 0 + 0*q**5 - 1/10*q**6. Find the second derivative of z(k) wrt k. -36*k**2 Let n(h) = -89*h**4 + 2*h**2 - 2*h + 310. Let q(u) = 90*u**4 - 2*u**2 + 3*u - 311. Let g(m) = 3*n(m) + 2*q(m). What is the derivative of g(i) wrt i? -348*i**3 + 4*i Let m = -418 + 8361/20. Let k(v) be the third derivative of 0 + 7/6*v**3 + 0*
{ "pile_set_name": "DM Mathematics" }
t to -4? (a) 2/11 (b) j (c) 0.1 b Let s = -10.8 - 0. Let t = s - -9. Let j = t - 3.2. What is the closest to 1 in -1/4, j, 1? 1 Let y = 0.94 - -0.06. Let j = 0.0473 + -1.0473. Which is the closest to -1? (a) j (b) y (c) 0.04 a Let g = -113.6 - -5.6. Let w = g + 111. Which is the nearest to 1/6? (a) 5 (b) 0.02 (c) w b Let r = -1.73 + -0.27. Let g be (-22)/99 - (-2)/(-18). Which is the closest to g? (a) r (b) -2/7 (c) -2/5 b Let g = 24/77 - -29/154. Suppose 4*s = -4*m + 28, -m = 5*s + 3*m - 32. Suppose 2*n = -b - 1, 0 = 5*b - s*n + 14 + 19. What is the closest to g in 0.3, b, 2/11? 0.3 Suppose 0 = 10*z + 11*z - 525. Suppose -z*n - 28 = -18*n. Let t = -0.3 - 0.7. Which is the closest to t? (a) -0.1 (b) n (c) -2/21 a Let s = 1 - -1. Suppose q + 3 - 2 = 0. Let o be q + (1 - (-1)/(-2)). What is the closest to o in 2/5, s, -0.1? -0.1 Let u = 1369 - 1373. Which is the closest to 0.6? (a) 1 (b) 3/5 (c) 5 (d) u b Let r = -6206.2 - -6206. Suppose -2*y + 22 = -0*y + 3*i, 3*y + 4*i = 31. Suppose -1 = -d - c, -30 = -d - d + y*c. What is the closest to 2 in r, 0.2, d? 0.2 Let v = -15860/189 - -38/189. Let p = 84 + v. What is the nearest to -0.1 in -0.1, p, -1? -0.1 Let q = -9.76 - -9.72. Let r = 6.08 + -0.08. Let d = 5.7 - r. Which is the nearest to -0.1? (a) -3 (b) d (c) q c Let x be 7851/(-3555) + 1*2. Let a = -2/237 - x. Let f = -51/583 + -5/53. What is the nearest to 0.1 in a, f, 1? a Let j = 68 + -39. Let z = j - 59. Let i be (-20)/24*8/z. Which is the nearest to i? (a) 2 (b) 3/2 (c) 0.5 c Let m be 16/15 + (-36)/90. What is the closest to m in -5, -0.05, -4? -0.05 Let g = 103/130 + -5/26. Which is the nearest to -0.1? (a) -0.25 (b) g (c) -3/4 a Let j = 45.5 + -40.5. What is the closest to -21 in j, 4, -0.3? -0.3 Suppose -15 = -3*g, -2*x - 2*g + 3 = -15. What is the nearest to 4/65 in -0.3, 5, 1/6, x? 1/6 Let k = -0.36 + 0.96. Let n = -281.07 + 283. Let l = n - -0.07. What is the closest to k in -2/5, -3, l? -2/5 Let m = 0.263 + -3.263. Let r = 15 + -21. What is the nearest to r in -0.1, 0.3, m? m Let c = 3.76 + -41.36. Let p = 37 + c. What is the closest to -1 in p, 1, 0? p Let p = -0.3 - -0.3. Let v = 10 - 16. Let m = v - -6.2. What is the closest to 1/2 in 0.4, m, p? 0.4 Let q be (-34)/(-14) + (1 - 3). Let l = -5.8 - 58.2. Let i = 64 + l. What is the closest to i in 4, q, -0.2? -0.2 Let x be 4 + 148/(-16) - (-14 - -8). What is the closest to -3 in x, 0.1, -2/13? -2/13 Let b = 0.01 + 0.02. Let j = b + -0.03. Suppose 24*i = 7*i - 68. What is the nearest to -3 in 1, j, i? i Let h = -781 + 782. Let c(a) = -2*a**3 - a**2 + a + 1. Let k be c(-1). What is the closest to h in -0.01, -0.4, k? k Let s be (-1)/(-3) + 40/15. Suppose 4 = -2*o + s*r - 5*r, -o = 3*r. Let a = -3.4 + 2.9. What is the closest to -2/5 in a, 1, o? a Let j = -883 + 881. Let h = -15 - -11. Which is the closest to -0.1? (a) h (b) 4 (c) j c Let m be (-2)/6 - (-88)/120. Which is the nearest to m? (a) -4 (b) 5 (c) 0.2 (d) 4 c Let o = -29 + -11. Let c = o + 39.6. What is the nearest to 2 in -3/2, c, 1? 1 Let p = 0.3 + -5.3. Let z be 968/(-30) + (-3)/(-9). Let r = -97/3 - z. Which is the nearest to r? (a) 5 (b) 1/4 (c) p b Let x = -11 + 12. Let l(q) = q**3 - 9*q**2 - q + 13. Let p be l(9). Let k(d) = 5*d - 15. Let s be k(p). Which is the nearest to -1? (a) x (b) s (c) 2 a Let a be 2/(-19) + 0/(-2). Let z = -10285 + 10282. What is the closest to -1 in a, -4, z? a Let w = 6.157 + 0.043. Let q = w + -6.6. Which is the closest to -6? (a) 2/9 (b) -4/5 (c) q b Let q = -91.5 + 91.62. Let f = -0.7 - 0.3. Which is the nearest to f? (a) q (b) 5 (c) -4 a Let v = 9.98 - 10.98. What is the closest to v in -2, -0.14, 0.7? -0.14 Let g = 702 - 702. What is the closest to g in -5, 4/5, 1? 4/5 Let f = -1.9 + 2.1. Let w = -251 + 249. Which is the closest to 2? (a) w (b) f (c) -1/7 b Let s be (114/798)/((-12)/(-14)). What is the nearest to 5/6 in s, -0.11, -0.1? s Let i be (-2)/6 - (-2)/3. Suppose 8*n - 6 = -22. What is the nearest to -0.1 in i, -18, n? i Let k = -5 + 5.4. Let f = 4949 - 4954. What is the closest to -7 in -3, f, k? f Let d = 9 + -8.1. Let q = d - 1. Let a be 1/((-15)/(-12) - 2). What is the nearest to q in 2, a, 2/7? 2/7 Let y be (-3 - -5) + -3 - 0. What is the nearest to 3 in -0.9, -5, y? -0.9 Let r = -367/6 + 61. Let u = -36.01 + 41.01. Which is the closest to -1/4? (a) u (b) 1 (c) r c Let x = -1522/7 + 218. Which is the closest to -2/5? (a) x (b) 0.1 (c) -2/3 (d) -2 c Let w = 1.9799 - -0.0201. What is the closest to w in 0, 1/9, -1, 3? 3 Let w be 20/(-8)*1/(-5). Let i = -2973 + 2973.4. What is the nearest to i in -1, w, 3? w Let f be (-22)/(-121) + 260/22. Suppose -6*q = -9*q + f. Let i = -1 + 2. What is the nearest to -3 in i, 0.1, q? 0.1 Let d = -0.493 + 0.393. Which is the nearest to -4/3? (a) 5 (b) -5 (c) d c Let d = 43 - 42.6. Let l = 0.053 - -0.047. What is the nearest to 1/2 in 4, d, l? d Let k(w) = w**3 + 2*w**2 - 3*w - 1. Let i be k(-3). Let d = i - -2. Let g be (-70)/84 + ((-115)/(-6))/5. Which is the closest to d? (a) -1/5 (b) g (c) 2/5 c Let p be (-121)/4 + 3/12. Let y be (-564)/p + (-4)/10. Let h = y + -18. What is the closest to 1/4 in h, 4, 1? h Let y = -0.046 - -0.113. Let n = -0.167 + y. Which is the nearest to n? (a) -1/4 (b) 1 (c) -0.2 c Let p = -35/4 + 8. Suppose -3*b = -2*b + 3. What is the nearest to 1 in p, -1/5, b? -1/5 Let j be 6/9 + (-395)/474. Let p be 3 + -3*(-4)/6. What is the closest to -1 in p, j, 17/3? j Let m = -33 - -33.32. Let r = -2.32 + m. Let s = 5.6 - 6. Which is the closest to r? (a) s (b) -0.5 (c) 4 b Let n = -170 - -846/5. Let b(c) = -c**3 - 4*c**2 + c - 3. Let s be b(-4). Let d = s - -43/6. What is the closest to 0 in -2/7, n, d? d Let j = -1.1 - -0.1. Let l = -3 - j. Let s = l - -1.5. What is the nearest to -1 in -1, -3, s? -1 Let r = -1.37 - 1.63. Let o = 2.1 - 2. What is the closest to 0.1 in r, -0.3, o? o Let q = -135 - -132. Let y be (q + 1)/(2/4). What is the closest to 1 in y, -6, -0.2? -0.2 Let s = -1 - -0.8. Let r = 36.95 + -37. Let t = r - 2.95. Which is the nearest to 0? (a) 2 (b) s (c) t b Let d = -2.426 - -2.326. What is the nearest to d in 24/11, -0.1, 0.2, 1? -0.1 Let q = 1701 + -1698. Let z = 22/19 + -412/323. What is the closest to -1 in q, 7, z? z Let t = -3.35 - 0.65. What is the nearest to 2/15 in t, 0, 0.5, -2? 0 Let i = -3.8 + -1.2. Suppose -38*r - 8 = -42*r. Let y = -2 - -1.6. Which is the closest to r? (a) -1 (b) y (c) i b Let v = -4 + 4. Suppose 5*h - 5*u - 20 = 0, h - 1 - 3 = 4*u. Let l = -3/14 - 1/28. Which is the nearest to v? (a) l (b) 2 (c) h a Suppose -1 = -3*d - 4*z + 5*z, 0 = 4*d + 5*z - 33. Suppose 5*w - 8 = -33, -5*a = d*w + 35. Let s be 279/315 - (-3)/a. What is the nearest to -2/3 in 1, 0.3, s? s Let s = 3.2 - 4.41. Let k = s - -0.71. What is the nearest to -2/7 in 0, -2/3, k? k Let m be (-6)/(-8) - (-159)/(-84). Let f = -39/28 - m. Let s be 2/10 - 4/10. Which is the closest to f? (a) s (b) 4 (c) 0.3 a Let g = -3.89 - 1.245. Let x = 0.135 + g. Which is the closest to 1? (a) -0.5 (b) 4 (c) x a Let x = 0.112 - 0.152. What is the closest to 0 in 0.3, 2, x? x Let l = 2.13 + 0.3. Let g = l - -1.73. Let f = g + -0.16. What is the nearest to 0.1 in f, -1, 3? -1 Let u = -5.22 + 1.22. Let s = -3.3 - 0.8. Let r = s + 4. Which is the nearest to 0? (a) r (b) u (c) -1/3 a Let k(z) = -z**2 + 6*z + 10. Let q be k(6). Let b = -6 + q. Let o = -4 + 1. What is the nearest to -1 in o, b, 4/5? 4/5 Let a = -46 + 42. What is the closest to 5 in 5, 1, a? 5 Suppose -12*f + 27 = -9. Which is the nearest to 5? (a) -2/11 (b) f (c) -2/3 (d) -1/8 b Let b be (3/(4*-3))/(7/70). What is the closest to -4 in b, 3/2, -5? -5 Let k = 7 - -48. Let z = -55.1 + k. Let g = 4 - 2. What is the nearest to z in 5, 1/4, g? 1/4 Let z = -18 - -18.3. Let t = 0 - 0. What is the nearest to t in 2, -0.08, z? -0.08 Let h = 0.31 + -30.31. Let y = h + 31. Suppose 2*u - 15 = -u. Which is the closest to y? (a) u (b) 2/5 (c) 2/11 b Let l(v) = v - 9. Suppose 0 = -4*k + 3*k + 4. Let m be l(k). Let f = 0.67 + -0.57. Which is the closest to f? (a) m (b) -4 (c) 0.5 c Let k = -29.74 + 24.6. Let f = k - -1.14. Which is the nearest to 6? (a) 1 (b) f (c) 0.1 a Suppose -2*t = -0*t
{ "pile_set_name": "DM Mathematics" }
-42? False Let s = 89 - 127. Let b = -116488 - -116487.9. Are b and s equal? False Let w be (-3699 - -1)*22/(-16) - (-6)/(-8). Is 5082 greater than w? False Let p(o) = -o**2 + 23*o + 123. Let d be p(26). Suppose k = -4*l, -3*l - 43*k + d*k = 0. Is 10/121 <= l? False Suppose -321*k - 1407*k - 1335983 - 117265 = 0. Let c(m) = -30*m**3 - 4*m**2 + 2*m - 1. Let q be c(3). Do k and q have different values? False Let c(g) = 1325*g**2 + 645*g - 2. Let u be c(-4). Is 18617 greater than u? False Let g = 4503 - 4627. Suppose 0 = 2*j - 5*x + 265, 0 = -3*j - x + 6*x - 390. Is j at most g? True Let v = -1255 + 1253. Is -53/34 != v? True Let b = -40101964/3379 + 11868. Which is smaller: 0 or b? 0 Let y = -1.1 - -0.1. Let c be (-141)/48 - (3 + 0)/(-1). Is y at most c? True Suppose 218288 - 1405648 = 80*s. Is s > -14843? True Let u(i) = -i**2 + 13*i - 30. Suppose n - 10 = -0*n. Let z be u(n). Which is bigger: 2/67 or z? 2/67 Suppose 0*v - 27*v = -243. Let p = 297/10 + -101/5. Do p and v have the same value? False Let x = 10 - 8. Let i(h) = -h**3 - 5*h**2 - 3*h - 5. Let v be i(-4). Let c be (v/21)/((-2)/7). Which is bigger: x or c? x Let y = -45 + 44. Let j be y + 4 + -3 + 3. Suppose 0 = -b - j + 4. Which is smaller: b or -2/91? -2/91 Suppose 3*w - 9 = 3*j, 0 = -5*w - 2*j + 7 + 22. Suppose w*n - 25 = -5*i, 3*i - 9 = -2*i + 3*n. Suppose -x - i*x - 4 = 0. Is -4/17 equal to x? False Suppose 0 = -z + 6*z - 85. Let i = -7 + 89. Suppose -11*o = -i - 94. Is o >= z? False Let t(v) = -v**3 + 13*v**2 + 2*v - 11. Let r be t(13). Suppose -z - w = w - 6, 0 = -5*z + 5*w + r. Let p be 4*z/(-8) + 1. Is p >= -1? True Let b(j) = j**2 - 25. Let s be (-16)/24 + (-2)/(-3). Let i be (2 - s) + (-2 - (-1 + -4)). Let n be b(i). Which is smaller: n or 3/37? n Let h = -5793 - -5668. Which is bigger: h or -1373/11? -1373/11 Let r = -18881 + 18880.9. Let a = 253 - 10883/43. Which is smaller: a or r? r Let a = -0.101 + 12.101. Let c = a - -49. Let x = c + -72. Which is smaller: x or 0.1? x Let c be 3/((-90)/322234) + (-4)/6. Let j = c - -10803. Is 61 > j? False Let u = -351 + 351. Suppose 3*j = -15, u = c - 0*c + 5*j + 27. Is -3/4 less than c? False Let f(r) = r**3 + 3*r**2 + r + 3. Let c be f(-3). Suppose c = 2*k - 7 - 13. Suppose 44 = v + k. Is 34 at least as big as v? True Let j(g) = 21 - 9*g + 0*g**2 + 5*g + 15*g + 5*g**2 - 4*g**2. Suppose 7 + 11 = -2*w. Let y be j(w). Which is smaller: 13 or y? y Let i = -215 - -218. Let q be (5301/4)/(-9) - i/4. Is q greater than -147? False Let x(g) be the third derivative of -2*g**4 + 22*g**3/3 + 179*g**2. Let v be x(1). Is v equal to 2? False Let v = 44 - 40. Let f be (-50)/20 + (-6)/v. Let l = -3 - -2.8. Is f greater than l? False Suppose -5*l = 5*u + 160, -l = 6*u - 7*u + 32. Does -55 = l? False Let q(p) = 3*p**2 - 102*p + 20. Let w be q(34). Let h be -1 + 0 + -2 + 22. Suppose -5*r - 4*o + h = -4*r, 5*r = 5*o + 95. Do r and w have different values? True Let t = -6.31 - -25.31. Is t at least as big as -0.7? True Let a be (90/75)/(1 + (-2263)/2260). Let z be ((-52)/(-39))/((a/(-6))/(-2)). Which is smaller: -1 or z? -1 Let p = 0.76833 - -0.23167. Which is smaller: p or 19/17? p Let t = -311 - -241. Let q = 28 + t. Is -42 at most q? True Let t = 919.3 + -16.3. Is 4 less than or equal to t? True Let m(h) = -2*h + 3*h**2 + 13*h + 14*h**3 + 9*h**3 - 24*h**3 - 4. Let f be m(5). Suppose 0*d - f = -3*d + a, -6 = -3*a. Is -2 equal to d? False Suppose -35*d - 14891 = -118*d + 13827. Is d at least as big as 3792/11? True Let s = -33 + 47. Let l = -31 + s. Let n be (-24)/(-140) - 4/7. Is n <= l? False Let t be 0 + ((-408)/(-108) - 6/(-27)). Let h be 17 + (4 - t - 5). Which is smaller: h or 67/6? 67/6 Let f(h) = 82 - 163 - 11*h - 61. Let r be f(-13). Which is bigger: r or -12/13? r Let s be (5 - (-1 + 5))*99. Let u = -38 + 140. Which is greater: s or u? u Suppose 66*r - 504 = 59*r. Suppose r*u - 64 = 64*u. Let m(y) = y**2 + y + 4. Let q be m(0). Is q equal to u? False Suppose 12*q + 19400 = -36*q - 49*q. Is q != -202? True Let j(q) = 4*q - 27. Let k be j(8). Suppose 4*y = y - k*f + 5, -3*y + 5*f - 35 = 0. Is -39/7 bigger than y? False Let a be (((-8)/2)/4)/(-9 - -8). Suppose 16 = 3*n - n. Let q be 1/n*(-16)/(-36). Which is smaller: q or a? q Let g(x) = 2*x**3 - 31*x**2 + 39*x + 79. Let v be g(14). Is -3/112 at least v? False Let f = -631 + 633. Suppose f = -4*l - 2*a + 6, -3*l - 2*a = -3. Which is smaller: 1/129 or l? 1/129 Let o = 9.4 - 9.6. Let n = -130 + 761/6. Which is smaller: o or n? n Let a be (16/40)/(-5 + (-201)/(-45)). Which is greater: -302 or a? a Suppose 0 = r + 5 - 12. Suppose -r = -4*w + 13. Let i be w - 2 - -16*4/(-3). Is i greater than -17? False Let o = -0.6508 - 393.3492. Which is greater: 3/4 or o? 3/4 Suppose 89 = 3*r - 61. Let n be 2 + -6 - (-196)/r. Let u = 369 + -368. Is u less than or equal to n? False Let q = 317/1441 - 5/131. Let j be (-3 - 32)*(-1 + 0). Let m = j - 36. Is q != m? True Let s = -18158 - -1252966/69. Is 2 equal to s? False Let d = -185.2 + -14.8. Let w = -177 - d. Let m = -25 - -24.9. Which is smaller: m or w? m Let k = 10 + -9.1. Let d = k - 1. Let t = 434 - 434.02. Is d less than t? True Let r = 211.079 - -111.8465. Let p = 0.0745 + r. Which is bigger: -1/3 or p? p Let x = 1.355 - 2. Let w = x - -0.6. Let p = 0.015 + w. Is p equal to 1? False Let g = 0.04 + -5.04. Let m = 947 - 956. Which is bigger: m or g? g Let h be 6/9*6/10. Let v be 55*(-3)/(-10)*28/3. Let g = 1698/11 - v. Which is bigger: h or g? h Let w = 15 - 6. Suppose -4*g - 2*n = 34, w = -4*g - n + 4*n. Let j be (-230)/20 - 9/g. Which is bigger: -9 or j? -9 Let t = -98.5233 - 1.5717. Let g = t + 0.095. Let m = g + 79. Which is smaller: 0 or m? m Suppose m - 5*u = -2*u - 10, 0 = 5*m - 4*u + 50. Let g be (-118)/(-15) - m/75. Let p = g - -4. Which is smaller: p or 9? 9 Let n = 3425 + -3457. Let g = -11/40 + 3/40. Which is bigger: n or g? g Let t(w) = 16*w + 200. Let m be t(-12). Let v be (20/m - 6) + (-5)/(-2). Which is greater: 1/104 or v? 1/104 Let j(c) be the second derivative of 11*c**5/20 - 7*c**4/12 + 4*c**3/3 - 6*c**2 - 193*c. Let g be j(3). Do g and 247 have the same value? False Let u(y) = 8769*y - 4366. Let m be u(-1). Is -13133 at most m? False Let r(a) = -a**2 - 9*a - 12. Let k be r(-2). Suppose 0*u = -4*o - u + 23, 0 = -o + 3*u - 4. Suppose o*f - 87 = k*p, 2*p = 4*p - f + 75. Are -35 and p nonequal? True Let o(n) = 9*n - 19. Suppose 2*d - 4*i - 6 = -6*i, -2*d + 5*i - 1 = 0. Let f be o(d). Which is smaller: f or -4/117? f Let j = -24 - -29. Let u = j - -4. Let l = u - -8. Which is smaller: l or 0.1? 0.1 Let y(z) = -6*z**3 + 3*z**2 - 3*z + 1. Let s be y(1). Let i be (2 + s)*(-2 - -88)/(-2). Let x = 1679/13 - i. Which is greater: 5/2 or x? 5/2 Let u = -1579 - -1612. Suppose -150 = -5*m + 5. Is u bigger than m? True Suppose -2*d - 3*j + 24 = 0, -5*d + 2*j + 55 = 7*j. Suppose -3*z + 7*v = 2*v + 2, 34 = 5*z + v. Let f be (-92)/z*2/(-4). Is f < d? True Let y = -29.4425 + 28.4425. Let p = -15 + 53. Are y and p nonequal? True Let w = 32103 + -28797. Which is smaller: 3307 or w? w Suppose 0 = -4*b - 12, 1 = -2*q - 2*q - 3*b. Suppose 0 = -3*k + q*k. Let v be (-9)/225 - (k - 0). Which is smaller: v or 1? v Suppose 4 = -3*m + w, -386*w - 16 = -3*m - 390*w. Is 23/44 greater than or equal to m? True Suppose -792 = -4*p + 5*k - 9*k, -196 = -p - 2*k. Which is smaller: p or 2188/11? 2188/11 Let w be (1161/(-33) - -2) + (-28)/(-154). Let d be (-50)/(-6)*4/((-44)/w). Are -2/9 and d nonequal? True Let g = 40654 - 203273/5. Let t = 34.988 - -0.012. Which is greater: t or g? t Let r(l) = -826*l + 10738. Let j be r(13). Which is smaller: j or 4/10475? j Suppose -2*o + 68 = -8. Suppose 2*n - 3*n - o = 0. Let w = n - -59. Is 21 > w? False Suppose -36*k - 90 = -30*k. Let p(o) = 7*o + 14. Let v be p(k). Which is smaller: v or -92? -92 Let g(s) = -s**2 + 3*s + 1. Let n be g(2). Let t be 8 - (0 - (-24 + 6)). Let l be (-4)/t*(-4 + n)*-10. Which is greater: 1 or l? l Let d = -299 + 365. Suppose 7*s + d = -11. Do s and 8/5 have different values? True Let d be 6/(-56)*-6 + 0. Suppose 0 = 9*b + 47*b + 560. Let l be 4 + b/3 + 10/(-15). Which is smaller: l or d? l Let l(t) = -17*t + 1619. Let v be l(84). Is v smaller than 193? True Let g(f) = 2*f - 20. Suppose 27 = 3*t - 0. Let
{ "pile_set_name": "DM Mathematics" }
s and give g. -32 Express 365*u - 364*u + 0 + 6 + 4801*u**2 - 4 + 849*u**2 in the form f*u + q + j*u**2 and give q. 2 Rearrange -8 - 98 + 65*p + 16 - 2 - 15*p to w*p + k and give k. -92 Express 573*z**3 + 2*z**2 + 7 - 509*z**3 + z - 2*z**2 in the form c*z**3 + g*z + u + b*z**2 and give g. 1 Rearrange (3 + 2 - 6 + (-1 + 1 - 2)*(105 + 86 - 62))*(0*o + 0*o + 2*o**2) to the form t*o**2 + w + p*o and give t. -518 Rearrange -89*p**2 - 1 - 2*p - 34*p**2 + 3*p**3 - 11*p**4 + 124*p**2 to the form j*p**4 + f + v*p + d*p**3 + o*p**2 and give o. 1 Rearrange -77343 - 11*p + 77331 + p**4 - 7*p**2 + 13*p - p**3 to z*p + c + g*p**2 + t*p**4 + l*p**3 and give z. 2 Express 192*w + 17*w**3 - 48*w**2 + 21*w**2 + 25*w**2 - 193*w in the form n*w**2 + o*w + y*w**3 + p and give y. 17 Rearrange (-3*r**4 + 0*r**4 + r**4)*(-609108 + 1213720 - 609666) to h*r**2 + s*r**4 + g*r + b + k*r**3 and give g. 0 Express -6 + 0 + 4*j - 6*j**2 + 0 - 32*j**2 - 2*j**2 in the form u*j + y*j**2 + z and give z. -6 Express (-3416 + 9691 - 12434 - 20825 + 6300 - 24940)*(-2 + 2 - 7*t) as w*t + m and give m. 0 Express (4 + 3 - 1)*(6*f - 5*f + 5*f) + 4 - 4 - 5*f - 3 - 4*f + 3 as p*f + h and give p. 27 Rearrange 5853*s + 6891*s - 4342*s to i + b*s and give b. 8402 Rearrange (-1 + 191*l - 187*l + 2)*(-28 - 239 - 7) to s*l + z and give s. -1096 Express (-12923*u**2 + 25398*u**2 - 14276*u**2)*(11*u + 3*u - 6*u)*(3*u + 2*u - 2*u) in the form y*u**4 + k + o*u**2 + b*u + m*u**3 and give k. 0 Rearrange -849*r**4 - 29*r - 1 - 2*r**2 - 1 - 2*r - r + 30*r to the form l*r**3 + k*r**4 + h + a*r**2 + j*r and give h. -2 Rearrange -46 - 4*r**2 + 2678 + r**2 - 2*r**2 + 3*r**2 to the form z*r + s + i*r**2 and give s. 2632 Rearrange 2 + 395*s**2 - s - 449*s**2 + 299*s**2 to w*s + d + p*s**2 and give w. -1 Express -u**3 - 3*u**3 + 1 + 1 - 6*u - 752*u**2 + 748*u**2 in the form p*u**2 + q*u**3 + v*u + h and give p. -4 Rearrange -498*s**3 + 219*s**3 + 2 - 332*s**3 + 10*s**2 to t*s + v*s**2 + u + r*s**3 and give v. 10 Express 0*s**3 + 4*s**3 + 17 + 9*s - 12*s + 8*s**3 + 13*s**2 - 13*s**3 as u + q*s**2 + r*s + c*s**3 and give u. 17 Express (97*z - 301*z - 605*z)*(z - z - 3*z)*(-2*z - z + 4*z) in the form l*z**2 + i*z + t + g*z**3 and give g. 2427 Rearrange -82*f**2 - 10*f + 2*f**4 + 119*f**3 - 121*f**3 + 44*f**2 + 41*f**2 to the form j*f**3 + v + z*f**2 + n*f**4 + m*f and give z. 3 Rearrange ((-4 + 4 - 1)*(1 - 2*z - 1) + 2*z - 5*z + 4*z)*(5 - 5 + 2)*(17843 - 18731 - 35347) to the form y + t*z and give t. -217410 Express -107419*z**3 + 4*z**2 - z**4 + 107367*z**3 + 8*z**2 - 3 as g + l*z**3 + u*z**4 + r*z**2 + q*z and give l. -52 Rearrange -2896*x - 45281 + 45281 - 2294*x to the form w + j*x and give j. -5190 Rearrange (8*m - 7*m - 2*m)*(2*m + 0*m - 7*m)*(19 - 1 + 5) to p*m + g*m**2 + s and give g. 115 Express (2990*x + 111 + 12222*x - 1596*x + 59 - 170)*(-2*x - 2*x + 6*x) as q*x**2 + y*x + j and give q. 27232 Rearrange -97 - 4*u**2 + 10*u**2 - 45 - 7*u**2 - 2*u**3 - 124 + u to the form c*u**2 + i*u**3 + b + j*u and give c. -1 Express -4*c - 20*c**2 + 20 + 19*c**2 - 2*c - c**3 + 12*c - c in the form r*c**3 + i*c**2 + y*c + b and give y. 5 Express (44 + 100 + 39)*(0*h**4 + 0*h**4 + h**4) - 5453*h**3 + 5453*h**3 + 72*h**4 in the form o*h**2 + n + q*h**4 + r*h + s*h**3 and give q. 255 Rearrange (-2822 + 9585 - 2798)*(-5*y**3 + 4*y**3 + 3*y**3) + 0*y - y**3 + 0*y to the form l*y + d + z*y**2 + n*y**3 and give n. 7929 Express (-6 - 9*s + 6)*(2 + 0 - 3)*(-51*s - 264*s - 67*s) in the form u + m*s**2 + j*s and give m. -3438 Express -882 - 263*h**2 + 1758 - 877 in the form s + a*h**2 + p*h and give a. -263 Express (-4*o - 7 + 7)*(19 - 19 + 8*o**2) + 2*o**3 + 9*o**2 - 9*o**2 + (o**3 - 3*o**3 + 0*o**3)*(1 - 1 + 1) in the form z + x*o**2 + y*o**3 + q*o and give y. -32 Rearrange 10095*s + 2175*s + 3093*s + 297*s + 2 to the form v*s + c and give v. 15660 Rearrange (0 + 3 + 1)*(-7034 + 1968*l - 7030 - 7036 + 21100) to the form t + p*l and give p. 7872 Express -4*s**2 - 15*s - s**3 + 0*s - 13*s**2 + 19*s as k*s**3 + u*s**2 + f + c*s and give c. 4 Rearrange (0 + 0 - 2*b)*(0 - 1 + 0 + (-2 + 3 + 2)*(4 + 3 - 5) - 531 + 49 - 82)*(-2 + 1 + 0)*(3 - 2 - 2) + 3*b - 3*b - 3*b to m + z*b and give z. 1115 Rearrange -28*u + 37 + 24 + 59 + 8 + 20*u to q + s*u and give q. 128 Rearrange (-13734 + 6856 + 6880 + 4056*a)*(0*a**2 + 2*a**2 - 3*a**2) to the form n*a**2 + t*a + l + i*a**3 and give n. -2 Rearrange -421 + 1568*f**2 - 3146*f**2 + 1574*f**2 + 3128 to t*f**2 + u + a*f and give t. -4 Rearrange (-4 + 4 - 5)*(-2*l**2 + l - l)*(-362*l**2 - 1090*l**2 - 318*l**2) - 2*l**4 - l**4 + 0*l**4 to the form j*l**3 + z + c*l**4 + o*l + t*l**2 and give z. 0 Express (-d - 3*d - d)*(292*d**2 + 1028708 - 1028708) in the form y*d**3 + v*d + f + g*d**2 and give y. -1460 Express (-a - a + 0*a)*(-3683 + 1849 + 72*a**2 - 596*a**2 + 1837) as c*a**3 + m + t*a + w*a**2 and give c. 1048 Express 20*v + 357*v**2 - 19*v - 1490*v**2 as i + b*v**2 + z*v and give z. 1 Express (4*f + 1 - 3*f + 0*f)*(2693 + 1631 - 142 + 4020) in the form h*f + u and give h. 8202 Rearrange (-18*q + 125 - 125)*(2*q + 428 + 23*q + 96*q - 428) + 51*q - 10*q**2 - 51*q to z + l*q + r*q**2 and give r. -2188 Express (4*q + 3*q + 2*q)*(5*q**2 - 4*q**2 + 3*q**2) - 38*q + 38*q + 17*q**2 - 5*q**3 as a*q + g*q**3 + y + k*q**2 and give k. 17 Rearrange 3567*h**3 - 89*h - 3562*h**3 - 61*h - 164*h to the form n + o*h + a*h**3 + z*h**2 and give a. 5 Rearrange -601 - 10949*v + 601 + 795*v to the form i*v + d and give i. -10154 Rearrange 13 + 3*x**2 - 4 + x**2 - 169*x**3 + 183*x**3 to m*x**3 + z*x**2 + y*x + r and give r. 9 Rearrange 2885 - 47*v - 5726 + 80*v + 2880 + 98*v to the form j + i*v and give i. 131 Express -19*m + 14*m - 19*m + 173 - 9*m + 0*m as o*m + u and give o. -33 Rearrange 26 - 31337*d + 62681*d + 0*d**2 - 107*d**3 - 31345*d + 0*d**2 to o*d + w*d**3 + p + f*d**2 and give p. 26 Rearrange (734 - 825 - 844)*(4 - 6*p - 4 + (0 + 3 - 5)*(-p + 3*p - p)) to s*p + b and give s. 7480 Rearrange -103*i + 14148 - 7094 - 7081 - 9*i to f + n*i and give f. -27 Express 6*c**4 + 14*c**2 + 14*c**3 - 6734 + 6734 as x*c**4 + p + y*c**3 + o*c + u*c**2 and give x. 6 Express -2*y**2 + 57*y - 44*y**3 + 29*y**4 + 43*y**3 - 84*y as x*y + j*y**3 + i + q*y**4 + k*y**2 and give k. -2 Express -368*d + 12 - 2*d**3 - 27 + 17 as s*d**3 + k + b*d**2 + l*d and give l. -368 Express 2*z + 342 - 558 + 275 + 344 in the form l*z + x and give l. 2 Rearrange 31518 + 3*l**3 - 4*l**4 - 31517 + 74*l**2 + 3*l**4 - 43*l**2 + 39*l**2 to the form q*l**2 + n*l**4 + v + m*l + b*l**3 and give n. -1 Rearrange 2*m**4 + 11285*m**3 - m**2 + 2 - 53*m - 11291*m**3 + 10*m + 0*m**4 + 2*m**2 to v*m**4 + n + t*m**3 + w*m + k*m**2 and give k. 1 Express 18008 - 9019 - 8989 - 43460*k**2 + (0*k - 2*k + 3*k)*(5*k - 2*k - 4*k) as i*k**2 + s*k + j and give i. -43461 Express -2949 + 1485 + 1492 - 27*t as n + v*t and give v. -27 Express (3*c**2 - c**2 - 4*c**2)*(5*c + c - 4*c) - c**3 + c**3 - c**3 + 205*c**3 - 202*c**3 + 1067*c**3 in the form d*c**3 + j*c**2 + y + l*c and give d. 1065 Express 99*k**2 + 0 + 17652*k + 0 - 17647*k as t*k + i*k**2 + s and give t. 5 Rearrange -54*x**2 - 54*x**2 - x + 3 - 67*x**2 + 2*x**4 + 162*x**2 - 3*x**3 to the form m*x**4 + z*x**2 + c + t*x + a*x**3 and give t. -1 Express -275*v - v**2 + 99*v - 539 + 543 in the form o*v + u + q*v**2 and give q. -1 Rearrange (2*t - 3*t + 2*t)*(-4146977 + 4146977 - 1954*t) to the form o + j*t + f*t**2 and give f. -1954 Express (155 - 157*i - 155)*(1 + 22 - 12)*(7 + 13 + 9) as q*i + h and give q. -50083 Rearrange 975*s + 6*s**2 - 5*s**2 + 5*s**2 - 3*s**2 - s**3 - 4*s**2 to the form c*s + g + y*s**2 + n*s**3 and give n. -1 Rearrange (-2089*g**3 - 422374*g**2 - 2323*g**3 + 422376*g**2)*(-2 - 2 + 7)*(g + 0*g + g) to the form w*g + y*g**4 + z + p*g**2 + c*g**3 and give c. 12 Rearrange 21 - 31 - 214*y + 10 - 309*y**3 - 2*y**2 + 322*y**3 to the form l + b*y**3 + i*y + n*y**2 and give i. -214 Express (-m**2 - 1 + 1)*(-2 + 3 - 2) - 2 - 3*m**2 + 2 - 20*m**2 - 45*m**2 + 20*m**2 in the form x*m**2 + y + f*m and give x. -47 Express (-w**3 - 4*w**3 + 4*w**3)*(5577 + 6526 + 624) in the form q*w**2 + b*w + h*w**3 + n and give h. -12727 Express (51*l + 23*l + 8*l)*(-6*l + 0*l + 2*l) - l**2 + 11*l - 11*l as n + b*l**2 +
{ "pile_set_name": "DM Mathematics" }
4944? 4944 Is -16 < 5193566? True Are -14/153423 and -277 equal? False Is -1 greater than or equal to -3256/7981? False Is -695067 at least -695075? True Is 11785682 equal to 11785682? True Is 1 at least 912/95137? True Does 1 = -17/17275139? False Is -58776456 at most as big as -58776456? True Which is smaller: -1063801 or -1063692? -1063801 Is -1634606 greater than or equal to -1634606? True Which is bigger: 70954396 or 70954395? 70954396 Which is greater: 5/9067051 or 0? 5/9067051 Does 2362432 = 16537032/7? False Which is greater: 0.37174 or -3703? 0.37174 Is -27724 >= -582220/21? True Which is greater: -1 or -71/1263994? -71/1263994 Which is bigger: -677500 or -14227531/21? -677500 Which is bigger: -0.0182794374 or 0.1? 0.1 Is -5257 bigger than -5296? True Is -16 != -2779/172? True Is -8269 bigger than -636792/77? True Which is smaller: 8799292 or 8799264? 8799264 Do -157869117/2 and -78934560 have the same value? False Is -22 at least as big as 143640? False Which is smaller: 501060 or 500786? 500786 Which is smaller: -40970 or -260? -40970 Are 0.1 and -0.15640523 unequal? True Is -2514598 != -2514593? True Is 57009/4 bigger than -77/2? True Is -790/5355141 bigger than -1? True Which is smaller: -479 or -76015/159? -479 Which is bigger: 10940/23 or -0.83? 10940/23 Which is smaller: 1577632/11 or 143421? 143421 Which is smaller: 3/6008065 or 0? 0 Which is smaller: 2 or 4899/2012? 2 Do -223770788 and -223770788 have the same value? True Is -41355220 greater than or equal to -41355217? False Which is smaller: 8944921 or 8944953? 8944921 Which is smaller: -46 or -37590/793? -37590/793 Which is greater: -2102948 or -345? -345 Is -407990 < -551? True Which is smaller: -9/4 or 0.136033? -9/4 Which is bigger: -10/23118311 or 1? 1 Which is greater: -1165255 or -1165252? -1165252 Which is bigger: 33631452 or 33631449? 33631452 Which is greater: 10915 or 11151? 11151 Is 84786 at least 84832? False Are 1311673/680 and 1929 equal? False Which is greater: -4655555/16 or -290971? -290971 Are -13190 and 28728 nonequal? True Which is bigger: -20214104 or -20214103? -20214103 Which is smaller: -13190 or -751801/57? -13190 Which is bigger: -1 or 119/93490? 119/93490 Is 2490/15493 at least -1? True Which is greater: 50034 or 58565? 58565 Do -1116054 and -1116057 have different values? True Is 0.103 greater than or equal to -1140062? True Which is smaller: 6624/44591 or -1? -1 Which is bigger: -1742720 or -1742764? -1742720 Which is smaller: 1 or 33952/13635? 1 Which is bigger: -1 or -28/966459? -28/966459 Is 1520434 at most 1520434? True Which is greater: 2146478 or 2146485? 2146485 Does 261385.86 = -0.1? False Is -93319302 > -93319303? True Is 11044717 not equal to 11044718? True Do 2.4604087 and 0.1 have different values? True Which is smaller: 61.1 or -1881/2? -1881/2 Which is greater: -153148 or -151569? -151569 Which is smaller: -1/2187 or -573? -573 Are 0.19 and -1179435 equal? False Which is smaller: -445390406 or -445390407? -445390407 Which is smaller: -4/285 or -83680? -83680 Which is smaller: -1038391 or -1038752? -1038752 Which is greater: 176985 or 3/31? 176985 Which is smaller: -15247003 or -0.11? -15247003 Which is bigger: 0 or -2601/87889? 0 Is -5 less than 0.04678673? True Is -14032541 at least -14032540? False Is -22 > -1/1215966? False Which is smaller: -2080928 or -2080932? -2080932 Is -32570278 at most -32570277? True Which is bigger: 2302357 or 2302356? 2302357 Is 5/3 >= -28440035? True Is -30031162 at most as big as 0? True Is 14871765 at least 14871765? True Is -53682825 < -268414124/5? True Which is smaller: -6714971 or -6714988? -6714988 Which is bigger: -62136611/24 or -2589026? -62136611/24 Which is smaller: 37826 or 37573? 37573 Which is greater: -1019651 or -7137547/7? -7137547/7 Which is bigger: 2 or 16896/8489? 2 Which is smaller: 2947720/3 or 982572? 982572 Are -21 and -15787425 equal? False Which is smaller: -630589 or -2/5? -630589 Which is smaller: 138 or 11915/7? 138 Are -39127 and -1056391/27 equal? False Which is smaller: -4160379 or -4160374? -4160379 Is 595/9739 less than 1? True Is -1930451 <= -1930452? False Which is bigger: -156862507 or -156862504? -156862504 Is -54360409 less than -54360409? False Which is smaller: -2 or -3763/1140? -3763/1140 Which is bigger: 1 or -12961390? 1 Is 414 at least 67701? False Is 11607340 greater than 11607315? True Is -176020 < -175648? True Which is bigger: -783585 or 9? 9 Which is smaller: -0.2 or -799348/15? -799348/15 Which is greater: 0 or -4890/34319? 0 Is -45834 at least as big as -45635? False Which is bigger: -1 or -11990/316127? -11990/316127 Which is bigger: -93819597/2 or -46909799? -93819597/2 Does 25464 = -0.1562? False Is -1181316 > -1181317? True Which is greater: -104826031 or -209652061/2? -209652061/2 Do -759/17219 and 0 have different values? True Which is bigger: -18 or -29450/1771? -29450/1771 Which is greater: -3481747 or -3481750? -3481747 Which is smaller: -1 or -6/2099383? -1 Do -105646 and -8 have the same value? False Which is greater: 719.0141 or -2? 719.0141 Which is smaller: 1 or -3/4042186? -3/4042186 Which is bigger: 1/8 or -634778? 1/8 Are 21974374 and 21974376 equal? False Is -230187417 less than or equal to 1/3? True Which is greater: -22038 or -20956? -20956 Which is smaller: 3613631 or 3613634? 3613631 Is -177713532 greater than or equal to -177713532? True Which is smaller: 494150 or -39? -39 Which is smaller: 4353 or 8388? 4353 Is -965763 at most as big as -965707? True Which is bigger: -14889291 or -14889286? -14889286 Is -3010 < -2020? True Is -4819647 less than or equal to -4819650? False Which is greater: 272/5039249 or -1? 272/5039249 Which is smaller: -341100428 or -341100425? -341100428 Which is smaller: -1/58674241 or -1? -1 Which is smaller: -37881 or -38797? -38797 Is 15 at least 425.325? False Which is greater: 261413147 or 261413145? 261413147 Is 132149 at least as big as 263? True Which is smaller: 50378 or 106? 106 Is 324636 smaller than 3571005/11? True Is 1264954504 <= 1264954506? True Which is greater: -8/81101021 or 1? 1 Is -853305189/8 at most -106663149? False Is 11 bigger than 1336734? False Is 0.048 at most as big as -94/1929? False Is 30111303/47 at most as big as 640665? False Is 136 >= -103759.3? True Which is greater: -3485 or -170635? -3485 Are -497130 and -18393812/37 unequal? True Which is bigger: 517 or -62689? 517 Is 1 equal to -1/18794746? False Are -132711 and -132700 equal? False Which is smaller: 22 or -10828? -10828 Which is smaller: -7.55 or -21/110? -7.55 Is 2442.838 at least as big as -0.08? True Are -31332 and -2412588/77 nonequal? True Which is greater: 1987 or 2822? 2822 Is 30948 > 30915? True Which is bigger: 34498/207 or 168? 168 Is 1/25207353 greater than 0? True Which is smaller: -1236.78 or -2? -1236.78 Does 13419611 = 13419611? True Are 0.9 and 1321488.57 equal? False Is 47404/445 at most as big as 108? True Which is smaller: 24007532 or 24007533? 24007532 Which is smaller: -1 or -249/10219729? -1 Is -360517 greater than or equal to -360514? False Are 214203 and -2310 nonequal? True Which is smaller: -5/135652061 or 1? -5/135652061 Is 19/1847 at most -158/11? False Is 211476 smaller than 211472? False Which is bigger: -1 or 37/611003? 37/611003 Is -2 <= -275263174? False Is 10385234 <= 10385233? False Is -1277/23085 not equal to 0? True Which is smaller: 0 or 4/466593755? 0 Which is bigger: 8314515 or 2? 8314515 Which is smaller: -435174 or 21? -435174 Is 117454805/3 != 39151601? True Is 5970482 > 5970482? False Is -9454088 <= -9454085? True Is -59719 <= -59695? True Which is smaller: 7597 or 1084? 1084 Which is smaller: 4983 or -90519? -90519 Which is bigger: 0 or -2/155918965? 0 Which is bigger: 1 or 9149/138545? 1 Is 28082/152903 at least 0? True Which is bigger: -2 or -438.4174? -2 Is 1 at least as big as -5/200861907? True Is 290879/1441 at least as big as 203? False Which is smaller: 3965.31 or 2/265? 2/265 Which is smaller: -2656 or 4/727? -2656 Which is smaller: 34 or -625112? -625112 Is 5/1146044 at most -1? False Do -44754/613 and -73 have the same value? False Which is greater: -132595/59 or -2247? -2247 Is -19583143 less than -19583154? False Is -69850609/5 not equal to -1397012
{ "pile_set_name": "DM Mathematics" }
c = 2*m, 0 = -5*z + 2*m + 5. Find the first derivative of 11*u**3 - 7 - 17 + 5 - z wrt u. 33*u**2 Suppose 0 = -2*j + 3*v + 13, -2*j + 4 = 3*j + 2*v. Differentiate 122 - 2*b - 3*b + 9*b**j - 239 with respect to b. 18*b - 5 Let o = -236 - -240. Find the second derivative of -85*k**o + k - 36*k**4 - 4400 + 4394 wrt k. -1452*k**2 Suppose -2*m - 5*i + 110 = 0, 5*i - 3*i - 204 = -4*m. What is the first derivative of -11 + 0 - 2*w**2 - 9 - 88*w**3 - m wrt w? -264*w**2 - 4*w Suppose -19*x + 154 = 58*x. Suppose -4*a + g + 5 - 1 = 0, 14 = -3*a + 5*g. What is the second derivative of 2*m + 11*m**a - x*m - 8*m wrt m? 22 Find the second derivative of 899*q**2 + 653*q - 1 - 184*q + 1 + 1436*q wrt q. 1798 Let v(y) be the third derivative of 1481*y**7/210 + 43*y**4/24 + 7*y**3/6 + 230*y**2. What is the second derivative of v(t) wrt t? 17772*t**2 Find the third derivative of -14*y - 124*y**2 + 773*y**3 + 3645*y**3 + 26*y + 54*y**2 - 21*y wrt y. 26508 Let k(p) be the first derivative of -9 + p**4 + 0*p + 3/2*p**2 + 2*p**3 + 0*p**5 + 2/3*p**6. What is the third derivative of k(v) wrt v? 240*v**2 + 24 Let x(a) be the second derivative of -14 - 1/6*a**4 - 5*a**3 + 2*a + 33/2*a**2. Find the first derivative of x(m) wrt m. -4*m - 30 Find the third derivative of 42458*a**2 - a + a - 154*a**4 - 831*a**4 - 39319*a**2 wrt a. -23640*a Let m(w) = -w + 49. Let z be m(47). Differentiate -z + 9*i + 8 + 6 + 6*i + 0*i wrt i. 15 Let z be 6/(-21) - (-930)/70. Differentiate -5 + z - 43*b - 60 with respect to b. -43 Let w(u) = -u**2 - 18*u + 117. Let s be w(-23). Find the third derivative of -16*a**3 + 31*a**2 + 103*a**s - 13*a**2 wrt a. -96 Let n(p) be the third derivative of -31*p**7/42 + p**6/24 + 49*p**4/12 + p**3/6 - 884*p**2. Find the second derivative of n(j) wrt j. -1860*j**2 + 30*j Let k be (-696)/(-40) + 4/(-10). Suppose -k*v - 10 = -18*v. What is the derivative of v*l**4 - 3*l**4 + 1 - 27 wrt l? 28*l**3 Let w(l) = 6*l**2 + 54*l - 34. Let v(m) = m**2 + 11*m - 7. Let t(x) = 11*v(x) - 2*w(x). Let s be t(9). Differentiate 9 + s - 24*i**4 - 2*i + 2*i wrt i. -96*i**3 Let w(r) = 39*r**2 + 6*r - 93. Let h(n) = -n + 6*n - 10*n - 1 + 6*n. Let z(j) = 6*h(j) - w(j). What is the first derivative of z(a) wrt a? -78*a Let g(a) = 120*a**2 - 4*a - 29. Let d(o) = 480*o**2 - 15*o - 115. Let n(w) = w - 7. Let t be n(3). Let b(l) = t*d(l) + 15*g(l). Differentiate b(h) wrt h. -240*h Suppose -46 = -7*w - 32. Find the third derivative of 26*h**w + 11*h**3 + 31*h**2 - 50*h**5 - 11*h**3 wrt h. -3000*h**2 Let o(q) be the second derivative of -19*q**6/30 - q**5/10 + 5*q**4/2 + 5447*q**3/6 - 196*q. Find the second derivative of o(k) wrt k. -228*k**2 - 12*k + 60 Let n(l) be the first derivative of -883*l**2/2 - 726*l + 887. What is the first derivative of n(r) wrt r? -883 Let w(l) = 2381*l**2 + 3383*l - 11. Let a(j) = 1186*j**2 + 1692*j - 6. Let p(z) = -11*a(z) + 6*w(z). Find the second derivative of p(o) wrt o. 2480 Let n be (22/8 - 3)*-8 - -2. What is the third derivative of -3*d - 23*d**2 - 29*d**2 + n*d**4 - 528*d**3 + 532*d**3 wrt d? 96*d + 24 Let p(w) be the third derivative of -w**6/120 - 41*w**5/30 + w**4/4 - 2755*w**3/6 + 102*w**2 - 6. What is the derivative of p(j) wrt j? -3*j**2 - 164*j + 6 Let r(d) = d + 30. Let u be r(-27). Find the third derivative of -66*f**u - 2 - 882*f - 2*f**2 + 882*f + 6 wrt f. -396 Suppose 3*w + 49994 = 2*n, -4*n - 6*w + 99996 = -10*w. Find the second derivative of 16*a**5 + n*a**4 - 25003*a**4 - 3*a**2 + 3 + 5*a wrt a. 320*a**3 - 6 Let f(b) = b**3 + b**2 + 2*b + 10. Let a be f(0). What is the third derivative of -512*o**3 - o**2 + 516*o**3 - a*o - 9*o + 6*o wrt o? 24 Find the third derivative of -287*n**3 - 277*n**3 - 640*n**2 - 2*n**4 + 598*n**3 wrt n. -48*n + 204 Let u(r) be the second derivative of 73*r**4/12 + 15*r**3/2 + 90*r**2 + 221*r. Let n(q) be the first derivative of u(q). Differentiate n(m) with respect to m. 146 Find the second derivative of -17*f**2 + 2*f - 50 - 141 + 16*f**2 + 526*f**4 - 303*f**4 wrt f. 2676*f**2 - 2 Let n be 20*(-8)/(-20) + -5. What is the third derivative of -114*i**2 + 38*i**n - 15*i**2 - 11*i**3 + 49*i**3 wrt i? 456 What is the second derivative of -11*c**2 + 9*c**3 - 1222*c - 42*c**4 + 40*c**4 + 334*c wrt c? -24*c**2 + 54*c - 22 Let v(o) be the third derivative of 25*o**9/8 + 568*o**5/5 + 4467*o**2. What is the third derivative of v(d) wrt d? 189000*d**3 Let d(i) be the second derivative of 0 - 61*i + 0*i**2 - 293/12*i**4 + 61/2*i**3. What is the second derivative of d(t) wrt t? -586 Let k = 3 - 1. Let q be 7 - (-3)/(-9)*6. What is the third derivative of 1364*i**2 - 1354*i**k + i**q - 17*i**5 wrt i? -960*i**2 Suppose 11*o - 74 + 52 = 0. What is the third derivative of i**3 - 6999*i**2 + 27*i**4 + o + 7026*i**2 + i**3 wrt i? 648*i + 12 Let j(o) = 244*o**4 + 5*o**3 - 2200*o**2. Let b(c) = -246*c**4 - 4*c**3 + 2201*c**2. Let z(a) = -5*b(a) - 4*j(a). Find the third derivative of z(p) wrt p. 6096*p Find the second derivative of -24404*b**2 + 10460*b**3 + 0*b - 12*b + 24404*b**2 + 48 wrt b. 62760*b Let y = 14 + -29. Let d be (-24)/y*40/16. What is the second derivative of 2*k**d - k**4 - 3*k + 3*k**4 + 6*k wrt k? 48*k**2 Let i(v) = -v - 22. Let c be i(-9). Let d(w) = w**2 + 14*w + 16. Let g be d(c). Differentiate 10*a + 13 + 1 + g - 2 wrt a. 10 Let b(h) = -85*h + 142. Let x be b(-3). Find the second derivative of 11*o - o**2 - 397*o**3 - 6*o**5 - 32*o + x*o**3 wrt o. -120*o**3 - 2 Let d = -3674 - -3685. Let p(y) = -19*y**3 - 2*y**2 - y. Let m be p(-1). Find the second derivative of m*h - 9*h + 10*h + d*h + 23*h**3 wrt h. 138*h Let d(i) be the third derivative of -2*i**7/105 - 13*i**5/12 + 1243*i**4/24 - 4*i**2 - 344*i. What is the second derivative of d(s) wrt s? -48*s**2 - 130 Let b(j) be the second derivative of j**6/30 + 66*j**5/5 + 132*j**2 + 299*j + 4. Differentiate b(k) with respect to k. 4*k**3 + 792*k**2 Let v(u) = -642*u**2 - 12*u + 1061. Let w(j) = 641*j**2 + 9*j - 1061. Let r(o) = -3*v(o) - 4*w(o). Differentiate r(g) wrt g. -1276*g Suppose 17*s - 26 = 4*s. Find the first derivative of -1 - 54*q + 41*q + s*q**4 - 54 - 47 wrt q. 8*q**3 - 13 Find the third derivative of 2*f - 2657*f**5 - 108328*f**2 - 2*f + 108329*f**2 + 89 wrt f. -159420*f**2 Suppose 0 = 8*u - 28 + 4. Find the second derivative of -u*f**5 + 115*f**3 + 144*f - 115*f**3 + 18*f**5 wrt f. 300*f**3 Let b(y) be the second derivative of 67*y**5/20 + 61*y**4/12 - y**3/6 + 3*y**2 + 6814*y. What is the third derivative of b(o) wrt o? 402 Let t(f) = 22*f**3 - 322*f**2 - 781*f - 66. Let r(o) = -15*o**3 + 214*o**2 + 521*o + 47. Let v(b) = 7*r(b) + 5*t(b). Find the second derivative of v(c) wrt c. 30*c - 224 Let l(f) = 113*f - 5. Let p be l(4). Let s = -50 + p. Find the second derivative of -s*y**4 + y + 372*y**4 - 15*y wrt y. -300*y**2 Let y = -204 - -208. What is the first derivative of -111*u**4 + 72*u**y - 65 - 42*u**4 wrt u? -324*u**3 Let l(w) be the first derivative of -679*w**4/2 + 3*w**2/2 + 71*w - 2267. Find the second derivative of l(x) wrt x. -8148*x Let v(o) = -o**2 + 9*o - 13. Let a be v(3). What is the third derivative of 8*l**2 + 13*l**2 + a*l**4 + 25*l**3 - 24*l**3 + 14*l**4 wrt l? 456*l + 6 Let m be 1/(5/10)*1. Find the second derivative of 18*z**2 + 54*z**m + 72*z - 23*z**2 wrt z. 98 Find the first derivative of -221 + 100 - 3298*w - 297 - 140 wrt w. -3298 Let o(f) be the third derivative of 439*f**7/105 + f**6/40 - f**5/60 + 1115*f**4/12 + 9958*f**2. What is the second derivative of o(s) wrt s? 10536*s**2 + 18*s - 2 Let d(i) = -3*i**3 + 5*i**2 + 3*i - 6. Let f be d(-2). Differentiate 10 + f*m - 51 - 72 + 2*m + 5 with respect to m. 34 Let l(i) be the second derivative of -91*i**4/6 - 10*i**3/3 - 7141*i**2/2 - 36*i + 18. Find the first derivative of l(c) wrt c. -364*c - 20 Suppose 10 = -2*w, 87 = 4*i - w - 106. Differentiate -135 + 34*z**4 + z + 162 + i - 4*z with respect to z. 136*z**3 - 3 Let k(t) be the first derivative of -7 + 2*t**2 - 5*t - 7/3*t**3. Let j(q) be the first derivative of k(q). Find the first derivative of j(r) wrt r. -14 Suppose a - 2 = 4. What is the third derivative of 72 - 72 + 6*b**6 + 79*b**2 + 4*b**3 - b**a + 2*b**6 wrt b? 840*b**3 + 24 Find the third derivative of -3236*g**2 + 55149239*g**3 + 129*g**5 - 55149231*g**3 + 1
{ "pile_set_name": "DM Mathematics" }
) Simplify (sqrt(4235)*1*-3)/(-3*sqrt(30)/(sqrt(12)/sqrt(2))). 11*sqrt(7) Simplify (sqrt(1815) + -1*sqrt(1815)*6 + sqrt(1815) + sqrt(1815))/((sqrt(720) + sqrt(720)*2)*5). -11*sqrt(3)/60 Simplify (sqrt(2448) + 3 + -3)**2 - sqrt(51)/((sqrt(120)/sqrt(8))/sqrt(5)). -sqrt(17) + 2448 Simplify (2*3*sqrt(110)*3)/((sqrt(240)/sqrt(6)*1)/sqrt(4)). 18*sqrt(11) Simplify 6*-2*(sqrt(567) + 0 + sqrt(567))**2*-6. 163296 Simplify ((-6*(2*sqrt(35) + sqrt(35)))/(sqrt(10)/(sqrt(14)/sqrt(7))) + 0)**2 + 0. 2268 Simplify 3*((((sqrt(1216) - -1*sqrt(1216)) + 4)**2 - (sqrt(1216) - sqrt(1216)*-1)**2*-3) + (0 + sqrt(1216))*2*1). 432*sqrt(19) + 58416 Simplify (3*(sqrt(11) - (-5 + sqrt(11)))**2 - (sqrt(330)/sqrt(10))/sqrt(3)) + 1. -sqrt(11) + 76 Simplify 4 + (sqrt(3) + (1*sqrt(243) + sqrt(243) - sqrt(3)) - sqrt(27)*-2) - (3 + (sqrt(192) + 1*sqrt(192))**2). -767 + 24*sqrt(3) Simplify 0 + (-5*sqrt(84)/sqrt(12) - ((sqrt(847))**2 + -4 - sqrt(7))). -843 - 4*sqrt(7) Simplify (sqrt(68) + 4 - sqrt(153)*1)*3. -3*sqrt(17) + 12 Simplify (-2*(sqrt(64)*-3 - sqrt(64)) + sqrt(64))/(sqrt(96)/(sqrt(12)*-2) - sqrt(8)*-1*6). 36*sqrt(2)/11 Simplify (sqrt(847) + 0 + 5 - (-1 + sqrt(847) + -3)) + (sqrt(847) + 1 + 4 - (0 + sqrt(847)*1)**2). -833 + 11*sqrt(7) Simplify -1*(3 + -2*sqrt(833) + sqrt(833) + 3 + 3). -9 + 7*sqrt(17) Simplify ((sqrt(108) + sqrt(108)*3)/sqrt(6))/((sqrt(36)*-3)/sqrt(4)). -4*sqrt(2)/3 Simplify (sqrt(143) + (sqrt(143) - (sqrt(143) - (-2*sqrt(143) + sqrt(143))))*-4 + (sqrt(143) - (sqrt(143) - -1*sqrt(143))*4))/(-2*sqrt(55)/sqrt(20)). 2*sqrt(13) Simplify (-1 + sqrt(1900) + 1*sqrt(1900) + sqrt(1900))**2 + (sqrt(133)/(sqrt(7) - (sqrt(21)/sqrt(3) + sqrt(7))*-1))**2. -60*sqrt(19) + 153928/9 Simplify 2 + -1*((sqrt(3) - (sqrt(9)/sqrt(3)*-6)**2) + (sqrt(12) + 1)**2). -5*sqrt(3) + 97 Simplify (sqrt(175)/sqrt(7)*1)/sqrt(5) - (sqrt(45) + -4 + -1 + sqrt(5) + -2). -3*sqrt(5) + 7 Simplify sqrt(3)*2 + 3 + sqrt(3) + sqrt(3) + (sqrt(432)*-2)**2 - 4*(sqrt(3) + 1*sqrt(12))**2. 4*sqrt(3) + 1623 Simplify (6*(sqrt(153) + -2*sqrt(153))*6)/(sqrt(144)/(2*sqrt(4))). -36*sqrt(17) Simplify -3 + ((5 + (sqrt(300)*-1*6 - sqrt(300)))*-2)**2. -2800*sqrt(3) + 58897 Simplify 1 + 5 + sqrt(5) + ((sqrt(60) + 4*sqrt(60))/sqrt(12) + sqrt(5))**2 + sqrt(5) + sqrt(5)*-2 + 5. 191 Simplify (6*(2*sqrt(175) - sqrt(175)) + 5*sqrt(175)*2)**2 - ((sqrt(175) - (-3 + 0 + sqrt(175)))**2 + 1). 44790 Simplify 6*(3 + (sqrt(72) + -2)**2 + 0) + 1. -144*sqrt(2) + 475 Simplify 4 + (sqrt(21)/(6*-2*sqrt(3)))**2 + sqrt(175)*1 + 3. 1015/144 + 5*sqrt(7) Simplify ((((sqrt(132)*2 - sqrt(132))*-6)/(-1*sqrt(12)*-3))**2 + 1)*4. 180 Simplify (-4*(3 + (sqrt(304)*-1 - (sqrt(304) + -4))))**2. -1792*sqrt(19) + 20240 Simplify sqrt(1088) + 1*sqrt(1088) + -5 + sqrt(1088) + -1*sqrt(1088) + 0 + 4. -1 + 16*sqrt(17) Simplify 2 + (1*-6*(sqrt(3) + 1) - (4 + sqrt(9)/sqrt(3) + -4*-2*sqrt(3)))**2. 300*sqrt(3) + 777 Simplify ((2*(sqrt(425) - (sqrt(425) + 1)))**2 - (3*sqrt(2057) + 3)**2)*2. -37036 - 396*sqrt(17) Simplify (3 + 1 + sqrt(833) - sqrt(833))**2 + ((sqrt(1088) + 1)**2 - ((sqrt(1700) + 0)**2 + sqrt(1700))). -595 + 6*sqrt(17) Simplify (1 + 5 + 2 + sqrt(288) - (sqrt(288) - (5 + -1 + sqrt(288)))*-6)**2. -384*sqrt(2) + 544 Simplify (-5*(-2 + sqrt(325) + 0)*4*3)**2. -72000*sqrt(13) + 1184400 Simplify 3*(3 + 1 + sqrt(162) + 5 + 0). 27 + 27*sqrt(2) Simplify 1*(6*((sqrt(192) - (-5 + 2*sqrt(192) + sqrt(192))) + sqrt(192)) + 3 + 1)**2. -3264*sqrt(3) + 8068 Simplify (0 + (1 + sqrt(6292) - sqrt(6292))**2 + sqrt(52))*-4 + 2. -8*sqrt(13) - 2 Simplify ((sqrt(176)/(sqrt(32)/sqrt(4)) + sqrt(22))/sqrt(11) - (-1 + sqrt(288) - sqrt(2))*5)**2. -530*sqrt(2) + 5643 Simplify (3 + sqrt(425) + 2 + sqrt(425)*-4*5)**2. -950*sqrt(17) + 153450 Simplify 5*(-5*(-1 + (sqrt(2448) - 2*sqrt(2448)) + 4))**2*4. -36000*sqrt(17) + 1228500 Simplify (5 + -1*4*(sqrt(44) - (2 + (sqrt(44) - sqrt(176)/sqrt(4)) + sqrt(44)))*-2)**2. 121 Simplify -5*(-4 + 2*(sqrt(972) + 2)). -180*sqrt(3) Simplify 2 + 5*1*sqrt(1377) + 0. 2 + 45*sqrt(17) Simplify 1*(sqrt(17) + 0)**2 + (-5 + sqrt(272) + sqrt(17))**2 + (-3*(sqrt(17) + sqrt(272))*6)**2. -50*sqrt(17) + 138167 Simplify (((sqrt(65)*3)/sqrt(5)*-1)**2 + 2)*6. 714 Simplify -5 + 6*((sqrt(3) + 0)*5)**2*1 + 4. 449 Simplify ((-1 + (-1*(2 + sqrt(343)) - (1 + sqrt(343) + 3)))*-3)**2. 1764*sqrt(7) + 12789 Simplify (2 + sqrt(125) + -5)**2 + -5 + (sqrt(10)*-1)/sqrt(2). -31*sqrt(5) + 129 Simplify (sqrt(153) - ((2*sqrt(153) + sqrt(153))*6 + sqrt(153)))/sqrt(9) - ((sqrt(510)*2)/sqrt(10))/sqrt(3). -20*sqrt(17) Simplify (sqrt(3000)*-2 + (sqrt(30) + sqrt(270))*4)/(-6*(sqrt(1440)*2 + sqrt(1440))). sqrt(3)/54 Simplify (2*1*-4*sqrt(567)*3*-5 + -5)**2. -10800*sqrt(7) + 8164825 Simplify (sqrt(76) + 0 + sqrt(19) + (sqrt(95) + (sqrt(95) - sqrt(95)*2))/sqrt(5) - (3 + sqrt(19))*-2*-4)**2 + -4. 240*sqrt(19) + 1047 Simplify 3*(sqrt(110) - -1*sqrt(110)*-6)/sqrt(10)*2. -30*sqrt(11) Simplify (2 + (sqrt(432)*-3 + 5)*-3)**2. -2808*sqrt(3) + 35161 Simplify ((4*(sqrt(228)*3 - sqrt(228))*-1)/((sqrt(1452) - (sqrt(1452) + 2*sqrt(1452) - sqrt(1452))) + (1*sqrt(144))/sqrt(12)))**2. 304/25 Simplify -4*(4 + (0 + sqrt(847) + sqrt(847) - (-4 + (sqrt(112))**2)) + 4). -88*sqrt(7) + 400 Simplify -3*(2 + (-2 + sqrt(567))*4). -108*sqrt(7) + 18 Simplify (1 + 4*(sqrt(468) + 0))**2 + ((sqrt(117)/(sqrt(81) + sqrt(9)) + (-2*sqrt(104))/sqrt(8))*-2)**2. 48*sqrt(13) + 30593/4 Simplify -2 + sqrt(22)/(sqrt(11)*-1) + (-4*sqrt(128))/sqrt(4). -17*sqrt(2) - 2 Simplify 5*((1*sqrt(468)*-3 + sqrt(468) + 0 + sqrt(468) + 0)*1)**2. 2340 Simplify ((3 + (sqrt(55) - sqrt(165)/sqrt(3))/sqrt(5))*2 + (-1*(1*sqrt(66) + sqrt(66)))/(5*(sqrt(54) + sqrt(6)) - sqrt(6)))**2. -24*sqrt(11)/19 + 13040/361 Simplify 4*((-3*2*sqrt(84))/sqrt(12) + 3 + sqrt(84)/(sqrt(24)/sqrt(2) - sqrt(12) - sqrt(12))). -28*sqrt(7) + 12 Simplify -4 + (1*sqrt(243)*-1 + 2 + sqrt(243)*1)**2. 0 Simplify sqrt(1008) + -1 + 1 + ((-2*sqrt(1008) - sqrt(1008))*-3 + sqrt(1008))**2 + 3. 12*sqrt(7) + 100803 Simplify -4*(-2 + 4 + (sqrt(425) - (-4 + 0 + sqrt(425))) + -3 + sqrt(425)*-1)**2. -1736 + 120*sqrt(17) Simplify ((sqrt(198)*-6 - sqrt(22))*5)/(sqrt(2048) + sqrt(2048)*-2). 95*sqrt(11)/32 Simplify (5 + ((sqrt(135)/(sqrt(9)/sqrt(3)) + sqrt(45))/sqrt(9) - (-5 + (sqrt(720) - (sqrt(720) + 1)) + sqrt(720))))**2. -220*sqrt(5) + 621 Simplify (4 + 2*(3 + ((sqrt(1700) + 1)*5 - sqrt(1700)))**2)*6. 7680*sqrt(17) + 327192 Simplify 5*(sqrt(14)/sqrt(7) - sqrt(2))**2 + ((sqrt(10) + sqrt(490) + sqrt(10))/sqrt(5))**2 - (-1*(sqrt(8) + -1*sqrt(1152))/sqrt(4))**2. -80 Simplify ((sqrt(187) - sqrt(187)*-2*-6)/((sqrt(176)*-4 - sqrt(176)) + sqrt(176) + sqrt(11)))**2. 2057/225 Simplify (-5*((sqrt(5929)*-3 - sqrt(5929)) + sqrt(5929)))/(sqrt(847) + sqrt(847) + sqrt(847) + sqrt(847)*1 - -6*sqrt(28)/sqrt(4)). 33*sqrt(7)/10 Simplify 3*(sqrt(52)/((2*sqrt(44))/sqrt(11)) - (-3 + sqrt(26)/sqrt(2) + 2)). -3*sqrt(13)/2 + 3 Simplify (-3 + -3 + 2*(sqrt(176) + 0) + sqrt(176) + -5 + -1*sqrt(176))**2. -176*sqrt(11) + 825 Simplify -4*(-3 + sqrt(320)*-1 + 1 + sqrt(5) + 1 + 1*sqrt(20)/sqrt(4)). 4 + 24*sqrt(5) Simplify (-1*(3*sqrt(48) - (sqrt(3) - (sqrt(21)/sqrt(7) + -2))))**2. -48*sqrt(3) + 436 Simplify ((-3*(-4 + sqrt(1300)) - (4*(sqrt(1300) - (sqrt(1300) - sqrt(1300)*5)) - sqrt(1300))) + -1)**2. -4840*sqrt(13) + 629321 Simplify 0 + ((sqrt(130)*-3 - sqrt(130))*6)/((4*sqrt(120))/sqrt(12) + sqrt(10)) + -2. -24*sqrt(13)/5 - 2 Simplify (-3 + (sqrt(1458)*-3)/sqrt(6))*-6. 18 + 162*sqrt(3) Simplify (4*5*(2 + (0 + sqrt(175)*2)*-6))**2. -96000*sqrt(7) + 10081600 Simplify -5 + sqrt(20)/(sqrt(90)*1) + -1. -6 + sqrt(2)/3 Simplify (-5 + sqrt(312)/sqrt(6))**2 + (-2 + sqrt(156)/(sqrt(12)*3 + sqrt(12)))**2. -21*sqrt(13) + 1309/16 Simplify (sqrt(68)*-1*2*2)/(sqrt(400) - (2*sqrt(400) - sqrt(400)) - (sqrt(144) + (2*sqrt(144) - sqrt(144) - sqrt(144)))). 2*sqrt(17)/3 Simplify -4*sqrt(2057) + -5 + (sqrt(2057)*-1*-5)**2 + -4. -44*sqrt(17) + 51416 Simplify 3 + -4 + (0 + sqrt(605) + -1)*-2. -22*sqrt(5) + 1 Simplify ((sqrt(198)*1 + sqrt(198))/sqrt(6))/(sqrt(3) - -4*-3*sqrt(3)). -2*sqrt(11)/11 Simplify (4*(sqrt(55)/(-2*sqrt(11)) + (sqrt(5) - (sqrt(5) + 1 + 1))))**2. 32*sqrt(5) + 84 Simplify (-3*((sqrt(128) - (-1 + sqrt(128) + sqrt(128) - sqrt(128))) + -3) + (sqrt(128) - (-1 + sqrt(128)))*-6*5)**2*6. 3456 Simplify ((1 + (sqrt(171) - sqrt(19)) -
{ "pile_set_name": "DM Mathematics" }
llest common multiple of 7520 and 8? 7520 Calculate the common denominator of -61/1660 and -83/40. 3320 Calculate the least common multiple of 452 and 8. 904 Calculate the smallest common multiple of 436 and 32. 3488 What is the common denominator of 45/976 and 39/4? 976 Calculate the smallest common multiple of 3 and 6. 6 What is the common denominator of 51/7 and -13/935? 6545 Calculate the common denominator of 1/216 and -56/81. 648 What is the least common multiple of 9 and 96? 288 What is the common denominator of -5/37 and 63/124? 4588 Calculate the common denominator of 115/156 and 149/6. 156 Find the common denominator of -58/9 and -77/7383. 22149 What is the least common multiple of 66 and 286? 858 What is the common denominator of 125/24 and -89/20? 120 Find the common denominator of -87/10 and -9/52. 260 Find the common denominator of 67/40 and 139/6460. 12920 What is the lowest common multiple of 237 and 15? 1185 Find the common denominator of 7/580 and 59/8120. 8120 What is the lowest common multiple of 163 and 2? 326 What is the lowest common multiple of 2865 and 105? 20055 Calculate the common denominator of 5/4 and -123/3370. 6740 Calculate the lowest common multiple of 7 and 242. 1694 What is the common denominator of 45/3616 and 37/3164? 25312 What is the least common multiple of 24 and 399? 3192 Calculate the least common multiple of 234 and 34. 3978 Calculate the common denominator of 57/10 and -77/8616. 43080 What is the least common multiple of 1603 and 2? 3206 Calculate the least common multiple of 105 and 112. 1680 Calculate the least common multiple of 24 and 48. 48 What is the smallest common multiple of 684 and 38? 684 Calculate the smallest common multiple of 366 and 11. 4026 Calculate the smallest common multiple of 342 and 504. 9576 What is the lowest common multiple of 144 and 54? 432 Find the common denominator of 85/264 and -73/24. 264 Calculate the smallest common multiple of 18 and 15. 90 Calculate the least common multiple of 5 and 956. 4780 Calculate the lowest common multiple of 8 and 208. 208 What is the common denominator of 113/10 and 95/66? 330 Calculate the lowest common multiple of 1164 and 30. 5820 Calculate the lowest common multiple of 24 and 4. 24 Find the common denominator of 79/170 and -25/11. 1870 Find the common denominator of -5 and -67/447. 447 What is the lowest common multiple of 120 and 240? 240 Calculate the least common multiple of 520 and 16. 1040 Find the common denominator of 53/21 and 49/60. 420 What is the common denominator of 79/792 and -25/56? 5544 What is the lowest common multiple of 3930 and 6550? 19650 What is the lowest common multiple of 133 and 4? 532 What is the lowest common multiple of 245 and 1? 245 What is the common denominator of 71/50 and 31/510? 2550 Calculate the common denominator of -7/20 and -83/102. 1020 What is the least common multiple of 144 and 112? 1008 What is the common denominator of 91/2 and -69/158? 158 Calculate the lowest common multiple of 60 and 5. 60 Find the common denominator of -43/8 and -79/70. 280 What is the lowest common multiple of 2604 and 434? 2604 Calculate the smallest common multiple of 1279 and 2. 2558 Find the common denominator of -109/36 and 55/81. 324 Calculate the least common multiple of 288 and 396. 3168 Calculate the common denominator of -77/544 and 61/64. 1088 What is the lowest common multiple of 128 and 20? 640 What is the lowest common multiple of 36 and 1776? 5328 What is the common denominator of -79/42 and -8/5? 210 Calculate the smallest common multiple of 15 and 45. 45 What is the common denominator of -85/112 and -29/154? 1232 What is the least common multiple of 36 and 30? 180 What is the common denominator of 101/450 and 97/1200? 3600 Calculate the common denominator of 51/130 and -107/1976. 9880 Find the common denominator of 23/171 and -86/21. 1197 Calculate the lowest common multiple of 65 and 25. 325 Find the common denominator of -51/8 and -20/121. 968 Calculate the lowest common multiple of 12 and 3542. 21252 Calculate the least common multiple of 5 and 176. 880 Calculate the smallest common multiple of 65 and 40. 520 Find the common denominator of -79/7176 and -30/11. 78936 What is the common denominator of 143/24 and 131/420? 840 Calculate the common denominator of -101/18 and 11/54. 54 Find the common denominator of -143/288 and 133/36. 288 Calculate the smallest common multiple of 444 and 64. 7104 Calculate the common denominator of 43/61 and -30/11. 671 What is the common denominator of 173/30 and 82/15? 30 What is the lowest common multiple of 250 and 50? 250 Calculate the lowest common multiple of 11077 and 5035. 55385 Calculate the least common multiple of 63 and 117. 819 Calculate the common denominator of -26/55 and 47/210. 2310 Find the common denominator of 19/28 and -9/224. 224 Calculate the smallest common multiple of 32 and 32. 32 Find the common denominator of 37/16 and -3/124. 496 What is the smallest common multiple of 120 and 30? 120 Find the common denominator of -9/41 and -5/164. 164 Calculate the lowest common multiple of 2300 and 690. 6900 What is the least common multiple of 6 and 90? 90 What is the common denominator of 83/1128 and -49/376? 1128 What is the lowest common multiple of 3 and 38? 114 Find the common denominator of 109/13840 and -121/5190. 41520 Calculate the common denominator of -93/8 and 145/678. 2712 What is the smallest common multiple of 10 and 1066? 5330 What is the smallest common multiple of 715 and 55? 715 Find the common denominator of 19/13 and -50/61. 793 Calculate the common denominator of 109/682 and 13/12. 4092 Calculate the common denominator of -113/40 and 109/10. 40 Calculate the lowest common multiple of 8 and 2960. 2960 Calculate the least common multiple of 315 and 504. 2520 Calculate the common denominator of -91/4 and 7/116. 116 Find the common denominator of 31/6 and 14/747. 1494 Find the common denominator of -7/270 and -97/84. 3780 Calculate the common denominator of -91/20 and 1/140. 140 What is the smallest common multiple of 28 and 72? 504 Calculate the least common multiple of 1 and 1860. 1860 What is the lowest common multiple of 24 and 678? 2712 Calculate the common denominator of -155/84 and -16/27. 756 Calculate the smallest common multiple of 40 and 32. 160 What is the common denominator of -127/12 and 7/1206? 2412 Calculate the lowest common multiple of 204 and 184. 9384 Calculate the lowest common multiple of 1605 and 3210. 3210 What is the lowest common multiple of 133 and 798? 798 What is the common denominator of 143/270 and 55/246? 11070 Calculate the lowest common multiple of 927 and 78. 24102 What is the smallest common multiple of 1276 and 176? 5104 Calculate the common denominator of -139/42 and -109/42. 42 What is the common denominator of 25/9 and 35/1768? 15912 Calculate the least common multiple of 156 and 3. 156 Calculate the common denominator of -20/189 and 131/216. 1512 Calculate the smallest common multiple of 28 and 336. 336 Calculate the smallest common multiple of 276 and 27. 2484 What is the smallest common multiple of 434 and 310? 2170 Calculate the least common multiple of 99 and 738. 8118 Calculate the smallest common multiple of 6 and 10. 30 Calculate the smallest common multiple of 150 and 16. 1200 What is the least common multiple of 66 and 319? 1914 Calculate the lowest common multiple of 672 and 672. 672 What is the lowest common multiple of 49 and 777? 5439 What is the common denominator of -47/36963 and -20/27? 36963 What is the least common multiple of 192 and 60? 960 Calculate the common denominator of -21/4040 and -77/50. 20200 Find the common denominator of -58/135 and -19/360. 1080 Calculate the common denominator of -23/27 and -64/531. 1593 What is the smallest common multiple of 561 and 44? 2244 Calculate the common denominator of 9/55 and -33/65. 715 Find the common denominator of -87/2 and -39/913. 1826 Find the common denominator of 31/150 and -82/15. 150 Calculate the common denominator of 55/266 and 59/4. 532 Calculate the common denominator of 10/9 and 109/18. 18 What is the lowest common multiple of 54 and 2115? 12690 Calculate the smallest common multiple of 10 and 152. 760 Cal
{ "pile_set_name": "DM Mathematics" }
+ g. Let p(n) = 3*n. Let v(b) = 10*b + 1. Determine s*p(c) + 2*v(c). -c + 2 Suppose -m - 3*i = -5, -2*i + 0*i = -2*m + 18. Let u(f) = 9 - 2 + m*f + 0 + 0. Let d(w) = 7*w + 6. What is 7*d(p) - 6*u(p)? p Let m(g) = 5*g**2 - 2*g. Let s(a) = -a**2. Let o be 2/(-4)*(2 + 0). What is o*m(y) - 4*s(y)? -y**2 + 2*y Suppose 0*u - 5 = 5*u. Let a(i) = i**2 + i. Let h be (-9)/(-2 - 28/(-8)). Let y(z) = -5*z**2 - 6*z. Give h*a(g) + u*y(g). -g**2 Suppose -4*n = -2 - 6. Suppose -3*c = n*c - 15. Let o(u) = -u**3 - 3*u**2 + 4. Let m(p) = 2*p**3 + 5*p**2 - 7. Give c*m(a) + 5*o(a). a**3 - 1 Let i(t) = -2*t**3 - 22*t**2 - 22*t + 22. Let m(l) = l**2 + l - 1. Calculate -2*i(y) - 44*m(y). 4*y**3 Let c(d) = -9*d**3 - d**2 - 7*d - 3. Let b(f) = 6*f**3 + f**2 + 5*f + 2. What is 7*b(n) + 5*c(n)? -3*n**3 + 2*n**2 - 1 Let b(s) = -s - 1. Let u(h) = 1. Suppose 4*a = -n - 2 + 3, 2*a - 8 = 2*n. What is n*u(l) - 2*b(l)? 2*l - 1 Let i(u) = 17*u - 11. Let f = -15 + 22. Suppose -n + 11 = f. Let o(m) = 3*m - 4. Let r(d) = 5*d - 8. Let x(h) = 7*o(h) - 3*r(h). Calculate n*i(v) - 11*x(v). 2*v Let c(d) be the second derivative of 3*d**4/4 + 4*d**3 + 12*d**2 - 7*d. Let y(q) = 2*q**2 + 5*q + 5. What is -5*c(r) + 24*y(r)? 3*r**2 Let l(c) = c**2 + 2*c + 1. Let v(y) = 4*y**2 + 9*y + 5. Determine 18*l(i) - 4*v(i). 2*i**2 - 2 Let u(l) = 1. Let f(y) = -5*y**2 + 2*y - 5. Determine -f(o) - 3*u(o). 5*o**2 - 2*o + 2 Let o(n) = -1. Let k(z) = -z - 3. Let g = 15 - 21. Calculate g*o(p) + k(p). -p + 3 Let p(t) = 7*t**3 - t**2 + t + 2. Let j(r) = -r**3 - r**2. Determine -2*j(m) - p(m). -5*m**3 + 3*m**2 - m - 2 Let d(l) = l**2 + 9*l - 7. Let c(v) = -v**2 - 5*v + 3. Calculate 5*c(n) + 3*d(n). -2*n**2 + 2*n - 6 Let n(m) be the third derivative of -m**6/60 - m**5/60 + m**3/2 - 14*m**2. Let a(x) = -x**3 - x**2 - 1. Give -a(l) + n(l). -l**3 + 4 Let x(n) = -7*n**2 + 9*n - 13. Let g(h) = 4*h**2 - 5*h + 7. Give -5*g(y) - 3*x(y). y**2 - 2*y + 4 Let l(c) = 9*c + 13. Suppose -10*b + 7*b - 15 = 0. Let u(y) = 14*y + 20. Determine b*u(j) + 8*l(j). 2*j + 4 Let f(m) = -m + 1. Suppose -8*p - 4 = -9*p. Let l(k) = -k - 1. Let d(a) = a + 3. Let s(z) = -d(z) - 2*l(z). Determine p*f(c) + 3*s(c). -c + 1 Let p(m) = 3*m. Suppose -x - 1 = -y - 2, -2*x = 3*y - 27. Let n(b) = b. Give x*p(i) - 17*n(i). i Let r(p) = 7. Let k(o) = 1. Let n(h) = 6*k(h) - r(h). Suppose 1 = -4*y - 7. Let s(w) = w**2 + 1. Give y*n(a) - s(a). -a**2 + 1 Let v(q) = -1 + q - 2 - 4*q. Let y(i) = -i**2 + i + 1. What is -v(f) - 3*y(f)? 3*f**2 Let n(v) = 4*v - 5. Let j be (-5)/(15/(-12)) + 1. Let b(a) = -3*a + 4. Calculate j*b(q) + 4*n(q). q Let f = 10 - 8. Let x(n) = 30*n**2 + 3 - 28*n**f + 1. Let m(y) = y**2 + 1. Determine -4*m(u) + x(u). -2*u**2 Let c(p) = -3*p**3 - 2*p + 2. Let y(k) = 16*k**3 - k**2 + 11*k - 11. Give 11*c(w) + 2*y(w). -w**3 - 2*w**2 Let d(g) = -4*g - 8. Let s(m) = -1. Let o = 190 - 189. Calculate o*d(z) - 8*s(z). -4*z Let x(u) = -1. Suppose 2 = -2*c + 6. Suppose -c*y + 4*y - 2 = 0. Let w(h) = -2*h - 4. Suppose v = -0*v - 3. Give v*x(l) + y*w(l). -2*l - 1 Let p(v) = 8*v + 9. Let a = 2 - -16. Let b(g) be the second derivative of -g**3/6 - g**2/2 - 3*g. Calculate a*b(x) + 2*p(x). -2*x Let a(m) = 12*m**3 + 6*m**2 + 13*m + 6. Let c(k) = -k**2 - 1. Let j(n) = a(n) - 3*c(n). Let s(y) = 3*y**3 + 2*y**2 + 3*y + 2. Calculate 2*j(z) - 9*s(z). -3*z**3 - z Let l(v) = 2*v - 6. Let c be l(4). Let t(j) = 2*j**3 + 3*j**2 + 5*j + 5. Let x(h) = h**3 + h**2 + 2*h + 2. Calculate c*t(n) - 5*x(n). -n**3 + n**2 Let h(s) = 10*s**3 - 4*s**2 - 4*s - 4. Let g(b) = 4*b**2 + 5 - b**2 - 9*b**3 + 3 + 3*b - 5. Calculate -4*g(j) - 3*h(j). 6*j**3 Let y = -7 - -20. Let t = 18 - y. Let b(j) = -7*j**3 - 4*j**2 - 2*j + 5. Let u(k) = -3*k**3 - 2*k**2 - k + 2. Calculate t*u(z) - 2*b(z). -z**3 - 2*z**2 - z Let u(f) = 13*f**2 - 9*f - 7. Let k(x) = 7*x**2 - 5*x - 4. Let z be (-12)/42 + (-23)/(-7). Suppose 14 = -3*h + q, 5*q + 8 = z*q. What is h*u(p) + 11*k(p)? -p**2 - p - 2 Suppose 4*y = -4*z - 4, 0 = y + 3*y - z - 16. Let h(s) = 5*s**2 - 4*s + 6. Let t(f) = 4*f**2 - 3*f + 5. Determine y*h(n) - 4*t(n). -n**2 - 2 Let h(y) = 2*y - 1. Suppose -4*b + 52 = -12. Let g(k) = -10*k + 6. Suppose 0 = -5*q + 5*i, -4*q = -5*i + 7 - 4. Calculate b*h(z) + q*g(z). 2*z + 2 Let o(h) = 2*h**3 + 14*h + 3. Let x(k) = -k**3 - 7*k - 1. Give -2*o(j) - 5*x(j). j**3 + 7*j - 1 Let p(s) = -7*s + 8. Let o(v) be the third derivative of v**4/3 - 3*v**3/2 + v**2 - 8*v. Determine 5*o(u) + 6*p(u). -2*u + 3 Let y(q) = -q. Suppose 5*x + 4*a = 0, -12 = -4*x + 3*a - 43. Let k = -13 - -14. Suppose 3*l + k = -8. Let g(d) = d. What is l*y(p) + x*g(p)? -p Let m(c) = c**3 - 1. Let z(a) = -a**3 - a**2 + 12. What is -3*m(j) - z(j)? -2*j**3 + j**2 - 9 Let z(p) = -5*p + 2. Let o(q) = 9*q - 3. Calculate 3*o(v) + 5*z(v). 2*v + 1 Let t(f) = 8*f + 2. Let c(n) be the first derivative of 0*n + 4 + 1/2*n**2. Let z = -31 + 21. Give z*c(o) + t(o). -2*o + 2 Let d(l) be the third derivative of -l**5/30 + 2*l**2. Let i(y) = -y**2. Give -2*d(s) + 3*i(s). s**2 Let d = -1 - 2. Let f(b) = -2*b**2 + b. Let v(z) be the first derivative of -z**3/3 - 3. Determine d*v(w) + f(w). w**2 + w Let o(x) = -11*x - 3. Let l(q) = -82*q + 39*q - 1 + 39*q. Calculate -8*l(y) + 3*o(y). -y - 1 Let l(m) = m - 1. Let o(s) = 21*s**2 + 84*s - 84. What is -84*l(z) + o(z)? 21*z**2 Let w(z) = -28*z**2 - 2 + 52*z**2 - 27*z**2. Let j(q) = 10*q**2 + 7. Let a be (7/2)/((-5)/10). What is a*w(c) - 2*j(c)? c**2 Let a = 15 - 11. Let y(n) = -3*n**3 + 3*n - 6*n - n + a. Let s(t) = 2*t**3 + 3*t - 3. Give 4*s(c) + 3*y(c). -c**3 Let u(x) = -3*x**3 - 5*x**2 - 5*x. Let j(b) = -b**2 - b. Calculate -5*j(v) + u(v). -3*v**3 Let d(z) = 3*z + 3*z - 3*z - 4*z. Let t = 12 - 8. Let b(l) = l - 2*l + 6*l. Calculate t*d(a) + b(a). a Let i(y) = -3*y**3 + 2*y**2 + y + 2. Let h(p) = 7*p**3 - 5*p**2 - 2*p - 5. Let n(t) = t**3 + t + 4. Let b be n(0). Determine b*h(f) + 10*i(f). -2*f**3 + 2*f Let n(q) = 24*q + 3. Let o(l) = 25*l + 4. What is 3*n(k) - 2*o(k)? 22*k + 1 Let t(j) = -2*j**3 - j**2 + 5. Let q(k) = -2*k**3 - k**2 + 4. Let x = 99 + -96. What is x*t(b) - 4*q(b)? 2*b**3 + b**2 - 1 Let u(w) = 8*w**3 + 10*w - 2. Let o(i) = -i**3 - i. Let v be 4/(-16) + 9/4. Suppose l = v*l + 1. What is l*u(x) - 10*o(x)? 2*x**3 + 2 Let l(t) = 10*t**3 + 12*t**2 - 4*t + 7. Let g(p) = -3*p**3 - 4*p**2 + p - 2. What is -7*g(a) - 2*l(a)? a**3 + 4*a**2 + a Let h(l) = -2*l**2. Let t(m) = m**2. Suppose -14 = d - 16. Let r be ((-8)/(-10))/(2/5). Calculate d*t(a) + r*h(a). -2*a**2 Let m(x) = -6*x**2 + 2*x + 4. Let j(i) = -i**2 + 1. What is -4*j(z) + m(z)? -2*z**2 + 2*z Let j be 1 + (-77)/14 - (-1)/2. Let w(b) = -3*b + 3. Let z(h) be the first derivative of -h**2/2 + h - 2. What is j*w(p) + 11*z(p)? p - 1 Let j(t) = -5*t**3 + 4*t**2 - t - 3. Let d(b) = -11*b**3 + 9*b**2 - 2*b - 7. Let s = -48 + 41. Give s*j(r) + 3*d(r). 2*r**3 - r**2 + r Let c(b) = -7*b + 3. Let d(j) = 20*j - 8. Determine 8*c(a) + 3*d(a). 4*a Suppose -32 = 2*q + 2*q. Let w = -14 - q. Let y(r) = 11*r**3 - 17*r**2 + 17. Let j(i) = -2*i**3 + 3*i**2 - 3. Give w*y(k) - 34*j(k). 2*k**3 Let d = 12 + -25. Let k = d + 5. Let t(y) = -7*y + 2. Let m(f) = -f + 1. Let v(h) = 5*m(h) - t(h). Let q(g) = 5*g + 8. What is k*v(b) + 3*q(b)? -b Let m(w) = -9*w**2 + 17*w. Let q(h) = 2*h - 1. Let v(x) = -x**2 + 16*x - 7. Let n(k) = -14*q(k) + 2*v(k). Give -6*m(l) + 26*n(l). 2*l**2 + 2*l Let j(v) = 14*v**3 + 7*v. Let p(t) = -7*t**3 - 3*t. Give 6*j(g) + 14*p(g). -14*g**3 Let k(a) = -5*a - 7. Let v(u) = 2*u + 0 - 3 + 1 + 5. Calculate 3*k(x) + 7*v(x). -x Let d(q) = -11*q**3 - 7*q**2 - 5*q - 14. Let r(t) = -6*t**3 - 4*t**2 - 3*t - 7. Let h(p) = 3*d(p) - 5*r(p). Let o(z) = -z**3 - 2. Calculate 2*h(g) - 7*o(g). g**3 - 2*g**2 Let c(h) = -3*h**2 + 3*h - 1. Let b(s) = -s**2 + s. Suppose -1 = 2*v - p - 2, 3*v - 5*p = -2. Calculate v*b(d) - c(d). 2*d**2 - 2*d + 1 Let h(y) = -5*y**3 - 9*y**2 + 9*y. Let w(d) = 2*d + 12. Let z be w(-8). Let g(f) = -2*f**3 - 4*f**2 + 4*f. Give z*h(r) + 9*g(r). 2*r**3 Let x(u) = u - 2. Let l be x(2). Let c(o) = -6 + l*o + 2*o**2 - 14*o**2 - 2*o + 10*o**2. Let s(g) = 2*g**2 + 2*g + 5. Determine 3*c(z) + 4*s(z). 2*z**2 + 2*z + 2 Let b be (-6)/(-15) + 27/(-5). Let a(g) = 6*g - 3. Let q(x) = 4*x - 2. Let z be -1 + (-1 - -10 - 1). Calculate b*a(d) + z*q(d). -2*d + 1 Le
{ "pile_set_name": "DM Mathematics" }
t common factor of o and y. 6 Suppose -4*w = j - 57, -2 = -j - 5. What is the greatest common divisor of 105 and w? 15 Let x = -11 + 20. Calculate the greatest common divisor of 9 and x. 9 Let m = 74 - 41. Calculate the highest common divisor of m and 363. 33 Let n = 5 - 4. Calculate the highest common divisor of 8 and n. 1 Let d(h) = -4*h**3 - 5*h**2 - h - 5. Let o be d(-4). What is the greatest common divisor of 25 and o? 25 Suppose -3*u + 336 = -0*u. Suppose 0 = -18*b + 21*b - 42. Calculate the greatest common divisor of b and u. 14 Let k(v) = -v - 1. Let q be k(-4). Suppose 0 = -8*r + q*r + 570. Let z = -24 + r. Calculate the greatest common divisor of z and 15. 15 Let l be 8/(-3)*24/(-32). Suppose 0 = -v + 6 - 2. Suppose -l*s + s = 3*x - 3, x + v = 0. Calculate the greatest common divisor of s and 60. 15 Let u(l) = l**2 - 4*l + 8. Let d be u(6). What is the greatest common divisor of d and 10? 10 Suppose -8*v = 4*v - 2640. Calculate the greatest common factor of v and 55. 55 Let v be (-6)/(-9) + 2/(-3). Suppose 5*i - 240 - 255 = v. What is the greatest common divisor of 11 and i? 11 Let n(l) = -l**3 - l**2 + 8*l + 5. Let j be n(-5). Suppose -4*v + 8*v - 96 = 0. Let f be (0 - -1) + 1 + v. Calculate the highest common divisor of f and j. 13 Let k be 24 - (0 - -2)*-1. Let m = k - 11. Suppose -9*h = -228 - 42. What is the greatest common factor of h and m? 15 Let k be (23 - -2)*6/10. Let j = 35 - k. Calculate the greatest common factor of 80 and j. 20 Suppose 2*w + 864 = 5*w. Let q = w + -96. Calculate the highest common divisor of 24 and q. 24 Let i = -2 + 3. Suppose -3*y - 22 = -25. Calculate the highest common divisor of y and i. 1 Let q be 442/3*45/30. What is the highest common factor of 13 and q? 13 Let j be (9/2)/((-3)/(-4)). Let x = 68 + -43. Let l = 55 - x. Calculate the highest common divisor of j and l. 6 Let m = 1 - 1. Suppose -c = 3*f - 23, 2*f + m = c - 3. What is the highest common divisor of 11 and c? 11 Let m(n) = -11*n - 2. Let z be m(-4). Let w(v) = 12*v - 3. Let d be w(9). Calculate the greatest common factor of z and d. 21 Let q be 44/(-5) - 1/5. Let i(n) = -n - 7. Let u be i(q). Let r be (-6)/(-6) + 38*u. What is the greatest common divisor of 7 and r? 7 Suppose 3*l + 62 = t, l + 0*l = -t + 58. Let m = t - 37. Let b be 3*(3/(-9) - -1). Calculate the greatest common divisor of b and m. 2 Let n(y) = y**3 - y**2 - y + 70. Let o be n(0). Suppose 0*b - 10 = -b. What is the highest common factor of b and o? 10 Let f be ((-153)/2)/(1/(-2)). Let x = f - 81. Calculate the greatest common divisor of 9 and x. 9 Suppose -5 = -c, 5*m + 2*c - 3*c - 30 = 0. Suppose 3*k = k + 4. Suppose k*o = 3*b - 2*o - 72, 4*b - 3*o = 103. What is the highest common factor of b and m? 7 Let w be -5 + 1 + 51 - -3. Suppose w = 5*n - 40. What is the highest common divisor of 18 and n? 18 Let n(o) = 17*o - 2. Let z be n(1). Calculate the highest common divisor of 45 and z. 15 Let f be 2 + (-27)/(3*-1). Let p(g) = -10*g + 2. Let a = -4 - -2. Let i be p(a). Calculate the greatest common divisor of f and i. 11 Suppose 5*x = -k + 80, -2*k + 5*k + 3*x = 264. What is the highest common divisor of 30 and k? 30 Let h(n) be the first derivative of -n**4/4 - 2*n**3 - n**2 - 9*n - 5. Let s be h(-6). Calculate the highest common factor of s and 24. 3 Let d(f) = 8*f - 16. Let x be d(9). What is the greatest common divisor of 7 and x? 7 Suppose s - 6*s = 2*f - 29, 30 = 5*f + 4*s. Suppose -24 = -a - 0*a + f*g, a = g + 27. Calculate the greatest common factor of a and 90. 30 Suppose y - 3*y = 3*m - 620, -5*m + y = -1055. Calculate the highest common divisor of m and 21. 21 Let l(h) be the first derivative of h**2 + 0*h - 2 - h**3 + 3/4*h**4. Let y be l(3). Calculate the highest common factor of y and 24. 12 Let l = 16 + -11. Suppose -l = 3*s - 53. Calculate the greatest common factor of 24 and s. 8 Let q = -66 - -103. Suppose 14 = 3*w + 80. Let a = q + w. What is the highest common divisor of a and 75? 15 Suppose -4*c + 2 + 2 = 0. Let k = 15 + -10. Suppose -2*f - 8 = -5*b, k*f = 4*f - 3*b + 7. Calculate the greatest common divisor of c and f. 1 Let u be (-2)/(-2 + 1) + 24. Let g be 2 + 13 + 2 + -1. Let b = u - g. What is the highest common divisor of 10 and b? 10 Let h(b) = b**2 - 2*b + 4. Let t be h(-8). Let o = -6 - -9. Suppose -x = -6*x + 3*d + 75, -o*x + 16 = 4*d. What is the greatest common divisor of x and t? 12 Let z(m) = 0*m - 3*m - 3 + 8*m. Let h be z(2). Let w be (-2)/(-8) - 614/(-8). Calculate the greatest common divisor of h and w. 7 Let o(c) = -4*c + 2*c + c + 0*c + 3. Let y be o(-5). Calculate the greatest common divisor of 4 and y. 4 Suppose -i = 2*i + 9. Let o be i/((-22)/10 - -2). Suppose 4 + 41 = q. Calculate the highest common divisor of o and q. 15 Suppose 0 = -2*b + b + 3*w + 116, -b + 4*w = -114. Suppose -3*o = 14 - b. What is the highest common divisor of 90 and o? 18 Let c be 1/(-2) + 365/10. Suppose v - 4*v + 78 = -2*y, -v - 5*y = -9. Calculate the greatest common divisor of v and c. 12 Let k(g) = -g**2 - 5*g + 8. Let f be k(-4). Let c(h) = -17*h - 4. Let v be c(-8). Calculate the highest common factor of f and v. 12 Let n = -11 - -30. Suppose 0 = -p + n - 2. What is the greatest common factor of p and 17? 17 Suppose 0 = -9*k + 15*k - 168. Let w = 26 + -12. Calculate the greatest common factor of k and w. 14 Let g be -2 - (-51 + 0 + 0). Calculate the greatest common factor of 98 and g. 49 Suppose -5*z - 3*c = -182 + 436, -z + 2*c = 43. Let k = -27 - z. What is the highest common divisor of 11 and k? 11 Let t be 137/3 + 6/(-9). Suppose 0 = 3*i - t - 0. What is the highest common factor of i and 105? 15 Let f(d) be the first derivative of d**3/3 - d**2/2 + 48*d - 2. Let n be f(0). What is the greatest common factor of 6 and n? 6 Suppose -2*p + 4 + 0 = 0. Suppose 24 = 4*q - 2*q. Let u = q - p. Calculate the highest common divisor of u and 40. 10 Suppose -108 = -4*b - 36. Calculate the greatest common divisor of b and 45. 9 Suppose 0 = -4*u + p + 618, -u - p = 2*p - 148. Calculate the greatest common divisor of 22 and u. 22 Suppose 67 = 3*z - 5. What is the highest common factor of z and 12? 12 Suppose 0*v = 4*v - n - 38, 5*v = -n + 52. Let p(m) = m**2 - 13*m + 14. Let s be p(12). Let d be (-4)/(-8)*4/s. What is the greatest common factor of v and d? 1 Let r(c) = -c**2 + 25*c - 22. Let q be r(14). What is the greatest common factor of q and 88? 44 Suppose 0 = 5*p + 53 - 368. Calculate the greatest common divisor of p and 7. 7 Suppose -8 = -5*y + 12. Suppose f - 3*f = -b + 84, 0 = b - y*f - 88. What is the greatest common factor of 10 and b? 10 Let x(t) = -t**3 - 4*t**2 + 4*t - 4. Let o be x(-4). Let w = -11 - o. Let l be -6*-15*(-1 + 2). Calculate the greatest common factor of w and l. 9 Suppose -w + 1087 = 4*k, -2*k - 2*k = 3*w - 1077. Suppose -4*x - k = -1085. What is the greatest common factor of x and 29? 29 Let f = 28 + 17. Let u = 34 + -16. Calculate the highest common divisor of u and f. 9 Suppose -t = -5*b + 65, -4*b - 3*t + 76 = t. Calculate the highest common divisor of b and 14. 14 Let z = -462 - -814. What is the greatest common factor of z and 32? 32 Let p be (0 - 8)/(3/6). Let w = p - -30. Calculate the highest common factor of w and 28. 14 Let x = 2 - 12. Let h = x - -14. Calculate the highest common factor of h and 12. 4 Suppose z + 3 = h, 49 + 6 = 5*h + 3*z. Let w be (54/4)/(6/h). Let a = -83 + 86. What is the highest common divisor of a and w? 3 Let q be 7/(-1)*22/(-2). Let a(b) = b**3 + 5*b**2 - 2. Let h be a(-5). Let c be 42/(-3)*1/h. What is the greatest common factor of q and c? 7 Let d = -77 - -98. Calculate the highest common factor of 7 and d. 7 Suppose -2*g + 31 = -9. Calculate the highest common factor of 20 and g. 20 Let u be (-1 + 33/9)*3. Let k be u*(2 - 10/8). Suppose -3*s - 36 = -k*s. What is the highest common factor of 36 and s? 12 Let u be (31 + 2)/(3 - 2). What is the highest common factor of 22 and u? 11 Let t = 19 - 3. Let u be 0 + 0 + 2 + 1. Suppose z - 2*z = 3*n - 8, u*z - 10 = -2*n. What is the highest common factor of n and t? 2 Suppose 5*n + 12 = 2*n. Let x be ((-1)/(-2))/((-1)/n). Suppose -2*r + 2 = -x. Calculate the highest common factor of r and 8. 2 Let o = -12 + 19. Suppose i = -x + 12, -3*i = -0*x
{ "pile_set_name": "DM Mathematics" }
-2 Which is the closest to -7? (a) 18 (b) -5 (c) -1 (d) -0.6 (e) -0.2 b What is the closest to -1/3 in 4, 2/145, 1.1, 0.2, -2/5? -2/5 Which is the nearest to -2/15? (a) 29 (b) -5 (c) 1 (d) 2/1375 d What is the closest to -48 in -2/139, -5, 71/4? -5 What is the nearest to 1/3 in -0.2, -0.3, 636, 4? -0.2 Which is the nearest to 0? (a) -5 (b) 0.1444 (c) 3/5 (d) -4 b Which is the closest to 4? (a) 6/11 (b) 0.4 (c) 7/29 (d) 0 (e) -0.4 a Which is the closest to 0? (a) 5 (b) 70 (c) -4 (d) 1/10 d What is the nearest to -2/7 in 17/549, -4, 0.4? 17/549 Which is the closest to 0? (a) -10 (b) -2/3 (c) 1 (d) -1/10 d What is the closest to 2/9 in 187, -3, 2/5? 2/5 Which is the closest to -1203? (a) -5 (b) -0.4 (c) -347 c Which is the closest to -2/19? (a) 0 (b) 417 (c) -1 (d) 2 a What is the closest to -5 in 3, -66, 5/102? 5/102 Which is the closest to 15? (a) 25 (b) 1.8 (c) -0.4 (d) -3/5 (e) -2/9 a What is the closest to 2/5 in 0, -0.04, 10547, 4? 0 Which is the closest to 2? (a) -1/10 (b) -3/1087 (c) 5 b What is the closest to 2 in 15, -0.5, -196, 1/6, -3? 1/6 What is the closest to 693 in 0.2, -5, -1/7, 587? 587 Which is the closest to -1/2? (a) 3/5 (b) -2/7 (c) 2 (d) -1 (e) -16 b Which is the closest to -32? (a) 0.5 (b) -1/7 (c) 0.08 (d) -18/5 d Which is the nearest to 28? (a) -5/4 (b) -2/5 (c) 726 b Which is the nearest to -1? (a) 11 (b) -2/3 (c) -7.91 (d) 2/9 b What is the nearest to 13 in -2, 8, 16, 1.76? 16 What is the nearest to -1 in 67, 2/199, 0.32, 1? 2/199 Which is the nearest to 10? (a) 177 (b) 12/11 (c) 4 (d) 0.06 c Which is the nearest to -0.6? (a) 2 (b) -11/62 (c) 5 (d) -0.09 b Which is the nearest to -419? (a) -5/2 (b) 0.1 (c) 3/4 (d) 0.2 a Which is the nearest to 3/7? (a) -1542 (b) 0 (c) -5 (d) 0.1 (e) 5 d Which is the closest to 0.01? (a) -26.4 (b) 2/3 (c) 1/17 (d) 2/7 c What is the closest to 0.07 in 2/3, -0.1, -4424? -0.1 Which is the nearest to -1? (a) 0.5 (b) 27 (c) 1/33963 c Which is the nearest to -217? (a) 0.4 (b) 11 (c) 1 a Which is the nearest to -0.2? (a) 3 (b) 4 (c) -54 (d) 0.1 (e) 0.4 d Which is the nearest to 2/9? (a) -15/7 (b) 2/3 (c) -0.5 (d) 1 b What is the closest to -2 in -5, 0.08, -8, -7/2? -7/2 Which is the nearest to -1/4? (a) 590 (b) 0.2 (c) -4 (d) 3 (e) -2/95 e Which is the nearest to -2? (a) 0.1 (b) 12657 (c) 27/4 (d) -2/5 d Which is the nearest to -1? (a) 1/20 (b) -3048 (c) 3 a What is the nearest to 3 in -0.3, -0.03707, 7? -0.03707 Which is the closest to -0.056? (a) -3 (b) 0 (c) 2/101 b Which is the nearest to -233? (a) 64 (b) -2 (c) 0 b What is the nearest to 2/3 in -0.2, -2/6395, -2/3? -2/6395 Which is the closest to 0.1? (a) 4/5 (b) 0.1 (c) 6/19 (d) 0.55 (e) -23 b Which is the closest to -22? (a) -0.11 (b) -2 (c) -3/2 (d) -18 d What is the nearest to 14/11 in -3, -1/4, -1.6, -4/5? -1/4 Which is the closest to -0.18? (a) 65 (b) 3/7 (c) 4 (d) 3/4 b Which is the closest to 0? (a) -4/7 (b) 1.7 (c) 19.07 a What is the nearest to -4 in 0.1, -0.3, 0, 1124? -0.3 What is the nearest to 40 in -1, 2/11, -221, 3/4, 0.2? 3/4 What is the nearest to -2 in -0.5, 0.1, 8, -0.1? -0.5 What is the nearest to -5 in 4, -0.6, -3, -2/39, -6? -6 Which is the nearest to -3/4? (a) -0.7 (b) -2/53317 (c) 0.5 a Which is the nearest to -7/19? (a) 2 (b) -1.3 (c) 4 b Which is the closest to -1/4? (a) 1/6 (b) 0.4 (c) -161.81 a What is the nearest to 0 in 2.3, 40.3, -1/4? -1/4 Which is the nearest to -2? (a) -2 (b) 0.4 (c) 1202 (d) 2 (e) 9/5 a What is the nearest to 1 in 34, 0.03, 36, 0.4? 0.4 Which is the closest to -5? (a) -1 (b) -2 (c) 106 b Which is the closest to 1? (a) -368 (b) 2 (c) -7/2 (d) -0.3 b What is the closest to -32 in 2/5, -27, -0.3? -27 What is the closest to 2/3 in 1/4, -2.92, -5, -0.07? 1/4 What is the nearest to 1 in 0, -37.62, 0.5, 4, -2/9? 0.5 What is the closest to 0.1 in -0.4, 0.2, 66/2131, 2/5? 66/2131 What is the nearest to 1 in 5/79, -141, 3? 5/79 Which is the nearest to -0.1? (a) -5758 (b) 1 (c) -3/4 c Which is the closest to -0.3? (a) 4/9 (b) 20 (c) -2 (d) -2/15 d Which is the closest to -5? (a) 1/4 (b) 2/7 (c) -0.5 (d) 50 (e) 10/9 c What is the closest to 0 in -7/5, -89, -0.2, -1? -0.2 Which is the nearest to 2? (a) -1/18 (b) 2 (c) -6 (d) -4 (e) 1 b What is the closest to 6.3 in 2/55, 1/4, 9? 9 Which is the nearest to -2/5? (a) -0.1 (b) 1 (c) -0.15 (d) -35 c What is the closest to -5 in -0.5, 0.1, 127, -3/17? -0.5 Which is the nearest to 0.2? (a) -0.03 (b) 111 (c) 1 a What is the closest to -1 in 17, 0.4, -0.11, -3? -0.11 Which is the closest to -7/3? (a) -0.05 (b) -0.2 (c) 0.1 (d) 4 b Which is the nearest to -0.0173? (a) 2 (b) -8/5 (c) -22 b What is the closest to 0.11 in 0.3, -2/11, -806? 0.3 What is the closest to 139 in -2/17, 0.5, -0.5, -6? 0.5 Which is the nearest to -17? (a) -2/7 (b) -2/21 (c) 1.2 (d) 1 a Which is the nearest to -0.242? (a) -3/7 (b) -4 (c) -144 a Which is the nearest to -0.16? (a) -1 (b) 0.4 (c) -124 b What is the closest to 0 in 1/12, -24/23, -94? 1/12 Which is the nearest to -1/2? (a) 2 (b) 1/3 (c) -5 (d) -5/4 d What is the nearest to 3 in 7, 2, 2799? 2 Which is the nearest to 15? (a) 2/11 (b) 1 (c) -0.4 (d) -1/27 (e) -2/17 b Which is the nearest to 5? (a) -2 (b) -1/3 (c) -16 (d) -1 (e) -6 b Which is the nearest to 0.02? (a) -10 (b) -4 (c) 0.4 (d) 1/12 d Which is the closest to 0.04? (a) -4 (b) 0.1 (c) 31 b What is the nearest to -14 in 32, 3, 0.3, 0.06, -0.1? -0.1 Which is the nearest to -0.1? (a) 4 (b) 0 (c) -5 (d) -2/21 d What is the closest to 0.3 in -3, -307, 0? 0 What is the closest to 1 in 0.3, 0.22, 2, -0.14, -12? 0.3 What is the closest to -67 in 1/4, -4, -19, 4? -19 Which is the nearest to 395/3? (a) 0.5 (b) 0.4 (c) 3/2 (d) 4/11 c Which is the nearest to -2/11? (a) 0.5 (b) -0.73 (c) 19.1 b What is the nearest to 0 in -2/7, 2.9, -93, -0.3, 6? -2/7 What is the closest to -1319 in 2, -6, 1, 4/3? -6 Which is the closest to -5265? (a) -4 (b) 2 (c) -2 a Which is the nearest to 0.2? (a) -3 (b) 4 (c) 1/4 (d) 39 c Which is the closest to -1? (a) -3 (b) 2/5 (c) -1/726 c Which is the nearest to -13? (a) -1/1286 (b) -5 (c) -1/7 b What is the closest to 2 in -3, 2/7, 11/58, -5? 2/7 What is the closest to 3 in -5, -2/105, 4, 2/7? 4 What is the nearest to 2042 in 1/4, 1, -0.7, -5? 1 What is the nearest to 118/39 in -3, -0.5, 1/2? 1/2 Which is the nearest to -3? (a) 3 (b) -186.4 (c) 4 a Which is the nearest to -29? (a) -3 (b) 0.25 (c) -17 c Which is the nearest to 21? (a) -1.12 (b) 3 (c) -3/2 b Which is the closest to 4? (a) -2 (b) 5/2 (c) -24 b What is the nearest to -1/3 in 189, -3, 207, 1/4? 1/4 What is the closest to 1 in -2, 2, -0.64, 0.02? 0.02 Which is the nearest to -3? (a) -2 (b) -1236/25 (c) -2/19 a What is the nearest to 18 in 7, 2, 21? 21 Which is the nearest to -0.1? (a) -1.26 (b) 2/13 (c) 6.73 (d) 0.5 b Which is the nearest to -1? (a) 32 (b) -489 (c) 4 c What is the closest to 1/10 in -5, 4, 3, 0.3, -12? 0.3 Which is the closest to 0? (a) -1 (b) 2564 (c) -5 a What is the closest to -0.2 in 6, 0.44, 1, -0.3? -0.3 What is the closest to -339 in -2/19, 3.5, 5? -2/19 What is the nearest to -1 in -2/55, -58, 0? -2/55 What is the closest to 1/4 in -2, 8, 0.4, 0.263? 0.263 What is the closest to -2 in -10, -0.4, 4/9? -0.4 Which is the nearest to -0.13? (a) 0.3 (b) 1/4 (c) 13/108 (d) -0.3 (e) -0.5 d What is the nearest to -17 in -62, -0.4, -10? -10 Which is the nearest to 0.1? (a) -0.3 (b) 2/223 (c) 56/9 (d) -2/7 b Which is the nearest to 0.0209? (a) -0.6 (b) -2 (c) 1/6 (d) 1/7 d What is the closest to 2/3 in -5, 1, -114, -34? 1 Which is the closest to -133? (a) 4 (b) -13 (c) -4 b What is the nearest to 9 in 0.5, -1/6, -0.4, 1/44, 0? 0.5 Which is the closest to 1922? (a) 2/19 (b) -0.4 (c) -4 (d) -0.5 (e) -3 a What is the closest to 27 in -117, -2/3, -14? -2/3 What is the nearest to -1 in 1/5, 5/2, 58/15? 1/5 Which is the closest to 1? (a) 445 (b) 36 (c) -1/3 c Which is the nearest to -0.1? (a) 6 (b) -0.2 (c) -1/57 (d) -0.5 c What is the closest to -1 in -146.4, -48, 4? 4 Which is the closest to -2/7?
{ "pile_set_name": "DM Mathematics" }
Let p(x) = -x**3 + 11*x**2 + 73*x - 271. Determine p(15). -76 Let l(i) = -1147*i + 4524. What is l(4)? -64 Let u(i) = -3*i**3 + 673*i**2 + 461*i - 1125. Determine u(225). 1350 Let x(k) = -k**3 + 172*k**2 + 8985*k + 639. Give x(214). -3 Let z(m) = m**2 + 3106*m + 230313. What is z(-76)? 33 Let u(g) = -74*g**3 + 68*g**2 - 64*g - 1. What is u(1)? -71 Let c(s) = 62134*s + 186408. Give c(-3). 6 Let p(b) = 31*b**3 - 1579*b**2 - 183*b + 4117. Determine p(51). -14 Let s(y) = -4*y**3 - 364*y**2 - 415*y - 4989. Give s(-90). -39 Let d(z) = -10*z**2 + 4158*z - 60130. What is d(15)? -10 Let q(l) = -81*l**3 - 5*l**2 + 3*l + 18. Calculate q(2). -644 Let v(r) = -11*r**2 + 477*r + 29900. Determine v(78). 182 Let d(t) = 4*t**3 - 87*t**2 - 555*t + 5750. Calculate d(25). 0 Let g(r) = 2*r**2 - 804*r + 16030. Calculate g(381). 28 Let p(x) = 685*x**2 - 548683*x - 1611. Give p(801). -9 Let n(k) = 76*k**2 + 110*k + 71. Give n(-2). 155 Let t(w) = -w**2 - 35*w - 602. What is t(-41)? -848 Let g(k) = -2*k**3 + 71*k**2 + 115*k - 1462. Give g(4). 6 Let a(o) = -38695*o - 38654. Calculate a(-1). 41 Let b(k) = -4*k**3 - 14*k**2 + 160*k + 197. Determine b(7). -741 Let h(g) = -g**3 - 238*g**2 - 1515*g + 23607. What is h(-231)? 45 Let q(l) = 1884*l + 1295. Determine q(0). 1295 Let r(q) = -21*q**2 + 408*q - 1796. Determine r(20). -2036 Let m(c) = -3554*c + 717814. Calculate m(202). -94 Let j(r) = -r**3 - 15*r**2 + 2*r - 217. Calculate j(0). -217 Let j(a) = 372410*a - 3351712. Calculate j(9). -22 Let p(n) = 2980*n - 149012. Determine p(50). -12 Let a(v) = -v**3 - 246*v**2 + 2858*v - 312. Determine a(11). 29 Let v(r) = -12*r**2 + 146*r - 235. Give v(12). -211 Let m(n) = 13436*n - 765855. Give m(57). -3 Let x(j) = j**3 - 19*j**2 + 922*j - 14355. What is x(16)? -371 Let l(i) = -i**3 + 29*i**2 + 263*i - 8115. Give l(28). 33 Let s(m) = 604*m**3 + 3*m**2 + 641*m - 644. What is s(1)? 604 Let a(d) = -9068*d - 45181. Determine a(-5). 159 Let c(x) = -569*x + 103557. Determine c(174). 4551 Let x(o) = -2*o**2 + 1114*o - 154846. Give x(263). -202 Let l(z) = 12*z**2 - 170*z - 433. Give l(17). 145 Let m(j) = -2*j**2 + 239*j - 67. Determine m(120). -187 Let q(s) = s**2 - 331*s + 27736. Give q(178). 502 Let b(f) = -1278*f - 214701. What is b(-168)? 3 Let t(c) = 2517*c + 57838. Calculate t(-23). -53 Let g(j) = 544*j - 53538. Determine g(100). 862 Let p(w) = -303*w**2 - 111*w + 112. Calculate p(1). -302 Let f(g) = -1548*g**2 - 385*g - 383. Calculate f(-1). -1546 Let s(r) = -r**3 - 40*r**2 + 190*r + 4441. Give s(-42). -11 Let n(g) = -g**3 - 183*g**2 - 1245*g - 111. What is n(-7)? -20 Let f(m) = 191*m**2 + 271*m - 79. Determine f(-1). -159 Let q(v) = 2*v**2 + 11231*v + 44923. Calculate q(-4). 31 Let z(g) = -2*g**2 - 10*g + 116. Calculate z(-30). -1384 Let w(s) = 8*s**3 + 981*s**2 + 1574*s + 124. What is w(-121)? 3 Let h(r) = r**2 - 898*r - 4528. Determine h(-5). -13 Let z(q) = 2*q**3 - 25*q**2 - 976*q + 10239. Determine z(10). -21 Let j(u) = -u**3 + 2872*u**2 - 11490*u + 75. Determine j(4). 3 Let y(i) = -28*i**2 + 988*i - 8567. Determine y(20). -7 Let s(a) = -81*a**2 + 1053*a - 2919. What is s(9)? -3 Let f(c) = -c**3 + 114*c**2 + 554*c - 9978. Determine f(118). -302 Let k(q) = -4*q**2 + 614*q + 14646. Give k(-21). -12 Let o(u) = -u**3 + 141*u**2 + 131*u + 1569. Give o(142). 7 Let f(p) = 29151*p + 349515. Give f(-12). -297 Let i(d) = 2*d**2 - 21*d + 2. Determine i(-3). 83 Let l(x) = 40*x**3 - 2*x**2 - 18*x - 26. Determine l(-3). -1070 Let v(x) = 5892*x + 124176. Give v(-21). 444 Let q(m) = 24*m + 6420. Determine q(-268). -12 Let l(r) = -2*r**3 + 2501*r**2 - 68445*r - 423. Give l(28). -3 Let x(c) = -84*c + 14455. Give x(174). -161 Let a(o) = -19*o**3 - 120*o**2 + 965*o - 161. Give a(-11). -7 Let i(v) = 330*v**3 - 1319*v**2 - 6*v + 21. What is i(4)? 13 Let b(w) = -w**3 + 2*w**2 + 35887*w - 71776. Determine b(2). -2 Let q(c) = -5*c**2 - 379*c - 567. Calculate q(-74). 99 Let y(p) = 8*p**2 - 307*p + 605. Determine y(36). -79 Let t(j) = 4470*j + 49151. Determine t(-11). -19 Let l(f) = 83*f + 65620. Give l(-788). 216 Let q(a) = -a**3 - 28*a**2 + 24*a - 1042. Calculate q(-30). 38 Let r(b) = -167*b**2 - 264700*b - 7929. What is r(-1585)? -4 Let w(j) = -404*j**2 - 376*j - 376. Calculate w(-1). -404 Let a(t) = 23181*t + 69450. Determine a(-3). -93 Let q(y) = 2*y**2 - 977*y + 30055. Calculate q(33). -8 Let s(m) = -m**2 + 2535*m + 25449. Give s(-10). -1 Let n(k) = 83*k - 3299. Give n(57). 1432 Let z(c) = 41*c**2 - 328*c - 2275. Give z(-7). 2030 Let a(w) = 16*w**2 - 493*w + 4995. Determine a(12). 1383 Let l(k) = -197*k + 153506. Calculate l(779). 43 Let b(q) = q**3 + 791*q**2 + 5553*q - 25. Calculate b(-7). -480 Let f(v) = v**3 + 4*v**2 + 43*v + 174. Calculate f(-11). -1146 Let j(d) = -766*d - 6067. Give j(-6). -1471 Let z(t) = -t**3 - 180*t**2 - 1708*t - 2588. What is z(-8)? 68 Let g(o) = 15*o**2 - 33*o + 129. Give g(4). 237 Let c(t) = 52*t**2 - 50*t - 107. Calculate c(-3). 511 Let p(w) = 13*w**2 + 4733*w + 42666. Calculate p(-9). 1122 Let t(z) = -z**3 + 129*z**2 - 213*z - 5206. Calculate t(127). 1 Let z(s) = 2*s**3 + 346*s**2 - 430*s - 14221. What is z(-174)? 47 Let p(h) = 255*h**2 + 2563*h + 123. Determine p(-10). -7 Let z(g) = g**3 + 12*g**2 - 523*g - 6274. What is z(-12)? 2 Let h(t) = 733*t + 41678. What is h(-57)? -103 Let r(f) = -373*f - 7065. Calculate r(-18). -351 Let j(c) = -1366*c**2 + 1363*c - 17. Calculate j(1). -20 Let w(n) = -464966*n - 8369385. What is w(-18)? 3 Let v(p) = 7019*p + 103784. Give v(-15). -1501 Let t(l) = 21*l + 2326. Give t(-88). 478 Let o(a) = -a**3 - 68*a**2 + 2099*a + 577. What is o(-91)? 31 Let s(b) = 8220*b - 591844. Give s(72). -4 Let j(i) = 1420*i - 50272. Calculate j(37). 2268 Let i(v) = 274475*v + 274435. Calculate i(-1). -40 Let m(n) = n**3 - 56*n**2 - 2006*n - 1476. Give m(81). 63 Let o(j) = 23*j**2 - 4271*j + 86065. Determine o(23). -1 Let a(b) = -1135*b - 49940. Determine a(-44). 0 Let v(b) = 17*b**2 - 1770*b + 2058. Give v(103). 101 Let d(n) = -n**3 - 17*n**2 + 17*n - 1396. Give d(-21). 11 Let s(o) = 2*o**2 - 17*o - 1581. What is s(-23)? -132 Let n(r) = -r**3 - 1783*r**2 - 794677*r + 4403. Determine n(-882). -7 Let g(s) = 15742*s + 63788. What is g(-4)? 820 Let h(f) = 8*f**3 + 88*f**2 - 387*f - 4297. Give h(-11). -40 Let h(o) = o**3 - 19*o**2 + 11*o - 34. What is h(21)? 1079 Let m(i) = 168*i**3 - 859*i**2 + 99*i - 21. Give m(5). -1 Let p(f) = -14*f**2 + 633*f + 9371. What is p(-15)? -3274 Let n(c) = -436*c**2 - 3412*c - 2. Calculate n(-8). -610 Let v(x) = 1081*x + 302692. Give v(-280). 12 Let o(r) = 11*r**2 - 76*r + 57. What is o(2)? -51 Let m(q) = -q**2 + 1926*q - 2464. Calculate m(0). -2464 Let t(m) = m**3 - 183*m**2 - 802*m + 45361. What is t(186)? -23 Let v(c) = -42082*c - 2356592. Calculate v(-56). 0 Let g(v) = -50*v**2 + 332*v + 672. Give g(-2). -192 Let u(c) = -508*c + 9163. Calculate u(18). 19 Let y(l) = 3*l + 863. Give y(12). 899 Let o(q) = 429*q - 214516. Give o(500). -16 Let i(t) = -8*t**3 + 358*t**2 + 99*t - 207. What is i(45)? 198 Let t(r) = -86*r**2 + 5317*r + 924. Determine t(62). -6 Let p(x) = 3*x**3 + 36*x**2 - 27*x - 135. What is p(-11)? 525 Let s(b) = -b**3 + 64*b**2 + 172*b - 6987. Calculate s(65). -32 Let t(i) = -1387*i - 6709. What is t(-4)? -1161 Let r(v) = -201263*v - 2817681. Calculate r(-14). 1 Let u(p) = 27*p**3 + 83*p**2 + 8*p + 5. Determine u(-3). -1 Let d(i) = -1250*i**2 + 77500*i + 10. Determine d(62). 10 Let t(h) = 6597*h - 422182. Determine t(64). 26 Let u(b) = -2882*b - 2472758. What is u(-858)? -2 Let k(f) = 1131*f - 17371. Determine k(11). -4930 Let n(d) = -d**3 - 22*d**2 + 42*d + 445. Give n(-23). 8 Let z(n) = -n**2 + 1231*n - 304626. Determine z(888). -42 Let n(f) = 5234*f + 779861. Calculate n(-149). -5 Let r(g) = 4374*g + 284524. Calculate r(-65). 214 Let f(i) = 3*i**2 - 1368*i + 3721. Give f(453). -356 Let w(k) = 1740*k - 1468547. Calculate w(844). 13 Let s(x) = -10163*x + 193078. Give s(19). -19 Let q(w) = -2*w**2 - 2284*w - 22655. Calculate q(-10). -15 Let a(q) = -q**2 + 138*q + 147. Calculate a(146). -1021 Let s(p) = -5*p**2 + 14556*p + 102129. What is s(-7)? -8 Let n(d) = 15*d**2 + 1272*d + 15821. Calculate n(-15). 116 Let j(t) = -t**3 - 21*t**2 + 439*t + 220. Give j(-34). 322 Let o(g) = -g**3 - 39*g**2 + 71*g + 1590. Calcu
{ "pile_set_name": "DM Mathematics" }
c - 3 = -g. Sort c, z, -2 in increasing order. z, -2, c Let q = -27 + 33. Suppose -4*z - 12 = -s - s, -7 = 3*s - z. Sort 7, s, -2, q in descending order. 7, q, -2, s Suppose 503 = -28*l + 363. Sort l, -4, 126 in descending order. 126, -4, l Let r = 43.2 + -40. Let p = -1.8 - r. Let v = 0.06 - -0.34. Sort p, -0.3, v in increasing order. p, -0.3, v Let n be (-2)/(7/(-3) + 11/33). Let f be 27/(-6) + 3/(-6). Let u = 140 + -137. Sort n, f, 0, u in decreasing order. u, n, 0, f Let b be ((-1760)/(-480))/(77/3). Put b, 2/7, 2/13, 0.2 in descending order. 2/7, 0.2, 2/13, b Let b = 0.532 + -0.032. Let a = 28.15 - 0.15. Let c = -32 + a. Sort b, c, 3/5, 0 in increasing order. c, 0, b, 3/5 Let g = -9804.8 + 9805. Put g, -4.37, 4, -3/7 in ascending order. -4.37, -3/7, g, 4 Let i = 2 - 3. Let u = 0 - i. Let y = 5936 - 5941. Put -2, y, u, 3 in ascending order. y, -2, u, 3 Suppose 8761 = 20*t + 9181. Sort 4, -13, t, 1 in decreasing order. 4, 1, -13, t Let g(k) = -3*k**3 + 4*k**2 - 1. Let j be g(3). Let b = j + 36. Let f = 13 + b. Sort f, -4, -2 in decreasing order. f, -2, -4 Suppose 12 = 3*y - 0*y. Let i = -312700 - -312595. Sort i, 0, y in descending order. y, 0, i Let q = 5850 + -5852. Put 419, q, -3, 3, 1 in ascending order. -3, q, 1, 3, 419 Suppose -2*a + 4 + 4 = 0. Suppose -485 - 496 = 192*g + 301*g + 5. Sort g, a, -4. -4, g, a Let l(r) = r**3 + 8*r**2 + 7*r - 6. Let c be l(-6). Suppose -3*m + 4*n = n + c, -m + 5*n = 20. Sort 2, 5, m, 1. m, 1, 2, 5 Suppose 3*l - 54 = -48. Suppose -4*j - 16*c + 15 = -19*c, -l*j = 4*c + 20. Put -3, -2, -65, j in ascending order. -65, -3, -2, j Suppose 23*z = 19*z - 12. Suppose -s = 6*s + 448. Let m = s + 68. Sort m, z, 14. z, m, 14 Let k = 1.176 - 3.176. Let g = 15/7 - 2. Sort g, 5, k, 0 in descending order. 5, g, 0, k Let f = -4128 + 12385/3. Put 14/47, f, 2/7 in ascending order. 2/7, 14/47, f Suppose -m - 6 = -3*o, 4*o + 0*m = 3*m + 3. Let q be (-38)/(-84) + ((-23)/(-6) - 4). Put 1/7, o, q, 5 in descending order. 5, o, q, 1/7 Suppose 5*r = -p + 5, -3*r - 2*r - 5*p + 5 = 0. Let k be r/(-2) - (-30)/20. Let t be 10/3 - (4 + (-14)/3). Sort k, t, 5 in ascending order. k, t, 5 Let m(f) = f**3 - 6*f**2 - 2*f + 7. Let o be m(6). Let a be -1 + -3*o/(-60). Let j be 3/9 - (-32)/12. Sort a, -3/5, 3/5, j in decreasing order. j, 3/5, -3/5, a Let q be (51/(-255))/(4/8). Put q, 109, 8 in increasing order. q, 8, 109 Let q = 1.71 + -0.21. Let x = -5.5 + q. Let g = 121 - 2179/18. Put x, 0.2, g in increasing order. x, g, 0.2 Let m be (56/3)/((-2)/(-3)). Suppose -4*l + c + 3*c - m = 0, 0 = -4*l - 3*c + 7. Let q be ((-124)/40 + 2)*l + -2. Sort -3, -5, q, -2/3. -5, -3, -2/3, q Let g be (15/(-20))/((-1)/(-8)). Let t = 330 - 131. Let v = -199.4 + t. Sort g, -0.2, v. g, v, -0.2 Suppose 3774 - 414 = 35*x. Put -4, x, 0 in decreasing order. x, 0, -4 Let b(v) = 3*v**3 - 3*v**2 + 2*v + 4. Let i be b(-1). Let r = -10 + 13. Let x be -2 + r + -1 - -2. Put 1, 0, i, x in decreasing order. x, 1, 0, i Let o = 0.15157 - -3.84843. Let b = -27 - -18. Let x = -1 + -4. Sort b, o, x. b, x, o Suppose 678*q - 684*q = 0. Put 18, q, 0.15 in ascending order. q, 0.15, 18 Let c = -35137 + 245949/7. Put -1/4, c, 40 in decreasing order. 40, -1/4, c Let c = 1168.9 + -1172.9. Sort 95, c, -0.04 in descending order. 95, -0.04, c Suppose 3*c = a + 1058, c = -a - 0*a + 350. Let s = 239 - c. Let u = s - -109. Sort 33, u, 0 in decreasing order. 33, 0, u Suppose -5*x - 3*i + 280 = 0, 13*i - 14*i = 0. Suppose -34*n + x*n = -66. Sort -0.1, 3, n, -2/7 in decreasing order. 3, -0.1, -2/7, n Let q = -20539/13 + 1588. Let w = -827/104 + q. Put w, -4, 0.3, -3 in descending order. 0.3, w, -3, -4 Let p be 6/(-12) + ((-279)/(-2))/(-3). Let b be (-50)/(-375) - p/(-15). Put -2, -7, b, 1 in ascending order. -7, b, -2, 1 Let s(o) = 114 - 4*o + 5*o + o - 113. Let f be s(2). Put -3/8, 1.1, f in increasing order. -3/8, 1.1, f Suppose 3*h + 3 = d, -h + 0*h = 1. Let f = 101 + -112. Let q = -14 - f. Put d, q, -13 in descending order. d, q, -13 Let i(y) = -y**3 + y**2 - 5*y + 6. Let v(o) = o**3 + 7*o**2 - 31*o - 6. Let k be v(-10). Let h be i(k). Sort 3, -2, 1, h in descending order. 3, 1, -2, h Suppose 4*m + 2 = 110*k - 108*k, 2*k + 2*m - 14 = 0. Sort 1, 4, k, -261 in descending order. k, 4, 1, -261 Suppose 3*o - 48 = -2*s - 35, -18 = -3*o - 3*s. Put o, -7, -28, 2 in decreasing order. 2, o, -7, -28 Let p(t) = t**3 - 3*t - 2. Let z be p(2). Suppose z = -4*d + 129 + 143. Let f = d - 67. Sort -4, 4, f in increasing order. -4, f, 4 Let k = 527 + -571. Let q = 35 + k. Sort 4, q, -1/30. q, -1/30, 4 Let a(d) = -d**3 - 6*d**2 - 11*d - 11. Let k be a(-4). Let b = 36 - 42. Let t be ((-1)/(-3) - (-2)/b)/(-2). Sort k, t, 2, 10 in decreasing order. 10, 2, k, t Let h = 4 + 0. Let n(p) be the second derivative of -2*p**3/3 + 28*p**2 + 3*p + 4. Let w be n(15). Put h, -5, 5, w in ascending order. -5, w, h, 5 Let z be 0/(1/(-1)) - (-8 + 2). Let c be 452/24 - (-1)/z. Let d = c + -15. Sort -1, 5, d. -1, d, 5 Suppose -619 = -2*x + 3*p, 3*x + 2*x + p - 1522 = 0. Let z be x/85 - 6 - -3. Sort z, -2/5, -1/7 in descending order. z, -1/7, -2/5 Let f = -577/4 + 1151/8. Sort -1/2, f, 4/3 in descending order. 4/3, f, -1/2 Let p be (-3 - -2)*6/4. Let c = 4 - 2. Let g = 602.71 + -607.71. Sort -0.5, g, c, p. g, p, -0.5, c Let u(b) = b**3 + 150*b**2 - 171*b - 2917. Let q be u(-151). Put q, 2, -3 in descending order. q, 2, -3 Let c = 26.8 + -33. Let m = 10900 + -10900.5. Sort m, 2, 3, c. c, m, 2, 3 Let n be (6/(-4))/(14/35*(-25)/20). Sort 0, 147, -1, n, -4 in increasing order. -4, -1, 0, n, 147 Let j(g) = 2*g**3 + 2*g**2 - 8*g - 5. Let m be j(-2). Suppose 4*u - 12 = 0, 0 = -m*s + 3*u + 6 - 15. Put 0.2, s, -11 in descending order. 0.2, s, -11 Suppose -4*j + 35 = -5*f, 0 = -33*f + 28*f - 15. Sort j, 4, 2, -2, 58 in ascending order. -2, 2, 4, j, 58 Let t = 8418 + -8411. Put -0.14, t, 1, -2/3 in ascending order. -2/3, -0.14, 1, t Let m(s) = s**2 + 6*s - 18. Let a be m(-8). Let h = -1325 + 1328. Put h, 8, a in ascending order. a, h, 8 Let r = -2/59 - -81/649. Suppose 17255*d - 17216*d - 39 = 0. Sort 1/5, -3/4, r, d in ascending order. -3/4, r, 1/5, d Let z = -93.44 - -91.2. Let f = z - -2.54. Let k = 47 + -189/4. Put 3, 0, f, k in decreasing order. 3, f, 0, k Let n = 0.0021 + -33.0021. Let v = n + 29. Sort 5, -5, v in ascending order. -5, v, 5 Let x = 168 - 115. Suppose 49 = -g + x. Suppose 0 = 4*d - 8, 27 = 5*a + 3*d - 9. Put a, g, 1 in decreasing order. a, g, 1 Let p = 3690 + -3777. Sort 3, p, 0 in descending order. 3, 0, p Let v(n) = 8*n + 48. Let k be v(-6). Suppose k = 345*j - 349*j + 20. Put -17, j, 0, -4 in ascending order. -17, -4, 0, j Suppose -4*c - r - 12 = -c, 3*r = -5*c - 24. Let m = -202 + 203. Let y be ((-17)/(-51))/(m/3). Put c, y, -1 in descending order. y, -1, c Let b = -42.5 + 43. Let g be (-19)/(-4) - 1/(-4). Let y = -276091/7 - -39442. Put y, -4, g, b in decreasing order. g, b, y, -4 Let j = 1657 - 1655. Put -2, 4, -4, j in descending order. 4, j, -2, -4 Let j = 7641 - 7641.3. Sort -2/3, -1/9, 0.3, j. -2/3, j, -1/9, 0.3 Suppose -4*l + 10 + 6 = 0. Suppose 0 = l*k + k. Let h = -2.569 - -2.369. Sort h, -3, k, -5 in decreasing order. k, h, -3, -5 Let h = 6/71 - 95/284. Let g = -72.5 - -13.5. Let w = g - -59.2. Put h, 2, w, -5 in decreasing order. 2, w, h, -5 Suppose 136*r = 129*r + 14. Let v(h) = -10*h - 80. Let q be v(-8). Suppose 3*a + 10 = 4*a. Sort q, r, a in increasing order. q, r, a Let a = 1 - -4. Let i = -14545.3 - -14545. Sort i, a, -3/8, -2/5 in descending order. a, i, -3/8, -2/5 Let d = -40 - 46. Let j = d - -82. Let b(v) = -v**3 - 18*v**2 - 15*v - 18. Let a be b(-17). Put a, 2/9, -0.3, j in ascending order. a, j, -0.3, 2/9 Let l(b) = 24*b + 87. Let r be l(-4). Sort r, -6, -5, 3 in increasing order. r, -6, -5, 3 Let p = -3.279 - -3.292. Let a = 0.472 - 0.885. Let b = p + a. Put 4/3, -2/21, b in ascending order. b, -2/21, 4/3 Let o = -644 + 643.9. Let k = 5 - 8. Let z be k*(-1 - 69/(-81)). Put 4, z, o in ascending order. o, z, 4 Let j = -15668.602 - -15684. Let u = 0.002 + j. Let f = u - 15. Sort 0.5, f, -4. -4, f, 0.5 Let f = 400 - 399.649. Let c = -3.351 + f. Sort 0, c, 3, 6 in increasing order. c, 0, 3, 6 Suppose -7*s = 16*s - 161. Suppose -3*v + 3*n + s = -5*v, v = 3*n + 10. Put 11, -3/4, v in decreasing or
{ "pile_set_name": "DM Mathematics" }
2, -1? -1 Which is the closest to -1/3? (a) 0.4 (b) -5 (c) -4 (d) -0.04 d What is the nearest to -0.1 in -2/3, -14, -2? -2/3 Which is the closest to 11/5? (a) 0.5 (b) 11 (c) -24 (d) -2/9 a Which is the closest to 1? (a) 2 (b) -5 (c) 0.3 c What is the nearest to 14/11 in 4, 0.9, 5? 0.9 What is the closest to 2/7 in -0.4, -1, -7/3, 2/3? 2/3 Which is the nearest to -3/4? (a) 0.3 (b) -1/2 (c) -0.3 (d) -2/9 b What is the closest to 2/9 in -5, 0.2, -4, 0.4? 0.2 Which is the closest to 9? (a) 2/19 (b) -7 (c) 0 (d) -0.1 a What is the closest to -0.9 in 5, -5/4, -0.3, 0.04? -5/4 Which is the closest to -5? (a) -2/9 (b) -4 (c) -2/7 (d) -1/7 b Which is the closest to 3/5? (a) 0.3 (b) 2/7 (c) -0.3 (d) 0 a What is the nearest to -2/9 in -2/11, -1/4, 2? -1/4 What is the nearest to -1/2 in -1, -5, 2/3, -2/15? -2/15 What is the nearest to 1 in -34, 1, -4, 2/13? 1 Which is the closest to -48? (a) 0.3 (b) -2 (c) 2/5 b Which is the closest to -1/6? (a) -0.047 (b) -3/4 (c) 2/5 a Which is the nearest to -8? (a) -1/7 (b) 2/7 (c) -35 a What is the closest to -0.4 in 20/11, 2, 0.4, 1? 0.4 What is the nearest to -1/2 in 1, -2.8, -4/7? -4/7 What is the closest to 0.6 in -8/11, 1/10, 17? 1/10 Which is the closest to -2? (a) -9 (b) -1/4 (c) 4 (d) 8 b Which is the nearest to 4? (a) 2/11 (b) 0.5 (c) 21 b Which is the nearest to 6? (a) -5 (b) -3 (c) -0.5 c Which is the nearest to 1/2? (a) 0.07 (b) -2/11 (c) 0.3 (d) -0.1 c What is the nearest to -2/11 in 9, 1/4, 2.7? 1/4 Which is the nearest to 0.2? (a) -4 (b) 27 (c) 0 c What is the nearest to -2/55 in 2, 4, -6, -5? 2 Which is the closest to 11? (a) 1/4 (b) 1 (c) -4 (d) 3 d Which is the nearest to 4? (a) 1 (b) -2/13 (c) -5 (d) -0.5 a What is the nearest to 0.4 in -23, -2/7, -0.3, 0.5? 0.5 What is the nearest to -2/15 in 1/17, 2/7, 1? 1/17 Which is the nearest to 21? (a) -1 (b) 0.1 (c) -0.2 b Which is the nearest to 27? (a) 9/2 (b) -4 (c) -5 a What is the closest to -7 in 14, -5, -4? -5 Which is the closest to 1/2? (a) 2 (b) -0.6 (c) 0.1 (d) 1/9 d What is the closest to 11 in 1, 4, -2? 4 Which is the nearest to -7/4? (a) 0.1 (b) -0.5 (c) 2/3 (d) 0.5 b What is the nearest to -107 in 6, 1, -0.3? -0.3 Which is the closest to -1? (a) -2 (b) -4 (c) 49 (d) 0.5 a Which is the nearest to 0? (a) -1/3 (b) 4/7 (c) 4 (d) -1/4 d What is the closest to 4 in -35/4, -0.2, 2? 2 Which is the closest to -4/7? (a) -7 (b) -2 (c) 1 (d) 0.1 d Which is the nearest to 1? (a) -0.49 (b) -2 (c) -1 a Which is the nearest to 0.01? (a) 5/6 (b) 22 (c) -3 a What is the closest to -1/2 in -3, -3/8, -4? -3/8 What is the closest to -1/3 in 13, 0, -0.5? -0.5 What is the closest to 1 in 2/5, 0.1, 0.13, -1/2? 2/5 Which is the closest to 1? (a) 0.02 (b) -6 (c) -4 a Which is the nearest to 0.1? (a) 2/13 (b) 21 (c) 10 a Which is the closest to -4/5? (a) -0.4 (b) -0.3 (c) 1 a Which is the nearest to -0.6? (a) -2/3 (b) 1/2 (c) 4 (d) 2 a Which is the nearest to -27/4? (a) 0.07 (b) 0.1 (c) 0.4 a What is the closest to -3 in -2/3, -3/17, -4, 0.03? -4 Which is the closest to -6? (a) 1 (b) -3 (c) -2/5 (d) 5 b Which is the nearest to -61? (a) 0 (b) -1 (c) -3 (d) 6 c What is the closest to -4.7 in -1/8, 0.4, -3, -2? -3 What is the closest to -13 in -2/5, -5, -10? -10 What is the nearest to -47 in 1, -0.3, 34? -0.3 Which is the closest to -1/8? (a) 0.1 (b) -25/4 (c) 0.07 c Which is the nearest to 5/8? (a) 0.2 (b) -5 (c) -0.1 (d) -4 a Which is the closest to -2? (a) -2/9 (b) -1/10 (c) -0.2 (d) -5 a What is the closest to 0.29 in 0.4, 3, 0.2? 0.2 Which is the closest to -1? (a) -0.4 (b) 5/2 (c) -3 (d) -10/11 d Which is the nearest to 1? (a) -3 (b) 0.1 (c) 6.73 (d) 1/2 d Which is the closest to 38? (a) -5 (b) -1/5 (c) 1 (d) 2/3 c What is the nearest to 3 in 5, 11, -4? 5 What is the closest to -21 in 0, -3/4, 29? -3/4 Which is the closest to -1? (a) 45 (b) 0.6 (c) -0.15 c What is the nearest to 3 in 3, -2/127, 1/3? 3 Which is the nearest to 1.7? (a) 1.2 (b) -6 (c) 0 a Which is the closest to 5? (a) 0.3 (b) -0.03 (c) -0.3 (d) 0.2 a What is the closest to -0.7 in 1/4, 8, -1? -1 Which is the closest to 2? (a) 16 (b) -0.3 (c) -3 (d) -0.2 d What is the nearest to -2 in -1/5, -2/7, -3, 4? -3 Which is the closest to -2/3? (a) 7 (b) -1 (c) 5 (d) -3 b Which is the closest to 1/2? (a) -0.07 (b) 2 (c) -5 a Which is the nearest to -3? (a) 4 (b) 0 (c) 0.05 (d) -3 d What is the closest to -3.3 in 6/11, -0.1, 0, -0.09? -0.1 Which is the closest to -2.1? (a) 5 (b) -4 (c) -39 b Which is the closest to -1.07? (a) -2/11 (b) -5 (c) 3 a What is the closest to -3 in 3, 0.03, 0.3? 0.03 What is the nearest to -1 in -5, -312, 0? 0 Which is the nearest to -7? (a) 1/6 (b) 1/4 (c) -4 (d) -1 c What is the closest to -20 in 0.4, -1/2, -2/11? -1/2 Which is the nearest to -2? (a) 1/13 (b) 4 (c) 0.4 (d) -3 d Which is the nearest to 1/4? (a) -2/9 (b) -30 (c) 1/5 c Which is the nearest to 0.1? (a) 2 (b) -3 (c) -10 a What is the nearest to 1 in -9, 5/4, -3? 5/4 Which is the closest to -30? (a) 4 (b) 12 (c) -2/7 c What is the closest to 1/2 in 0, 0.6, -29/6? 0.6 What is the closest to 0.2 in 1/4, -5, 4/3, -38? 1/4 Which is the closest to 0? (a) -2/15 (b) -0.1 (c) 3/5 b What is the nearest to -7 in -4, -2, 1, -1/12? -4 Which is the closest to -1/11? (a) -2/7 (b) 0.5 (c) -2 a What is the closest to 0.1 in 0.2, -6, 0.5, 3? 0.2 What is the nearest to -2 in -0.1, 2, -0.3, 140? -0.3 What is the nearest to 2 in 4, -0.4, 1/7, 3? 3 Which is the nearest to 3? (a) 3 (b) -2/5 (c) 4 (d) -3 a Which is the closest to 1/3? (a) -5 (b) -25 (c) -0.1 c Which is the closest to 2/5? (a) 5 (b) -2 (c) 1/3 (d) -1 c What is the closest to -0.03 in 1/10, -2/3, -1, 0.2? 1/10 Which is the closest to 2/7? (a) -1/9 (b) 1.5 (c) -2/131 (d) -3 c What is the closest to 2/7 in -1, -2/11, -0.51, 2/13? 2/13 What is the nearest to -2 in -35, 4, 4/3, -0.1? -0.1 What is the closest to 2/17 in -5/6, 2/9, -1? 2/9 What is the nearest to 1/2 in 0.6, 11/2, 2? 0.6 What is the closest to 2/7 in 0.2, 0.4, 568? 0.2 Which is the closest to 5? (a) -0.5 (b) 0.4 (c) 2/13 (d) 2 d What is the nearest to 0.4 in 3, 0, 2/5, 4? 2/5 What is the closest to 416 in 0, 0.2, 0.5? 0.5 Which is the closest to 1? (a) -2/3 (b) 5 (c) 87 (d) 1 d What is the nearest to -1/3 in 5, 2/17, 0.3, 1/2? 2/17 What is the closest to 1/3 in 0.2, 136, -2? 0.2 Which is the nearest to 2? (a) -2 (b) -4 (c) -0.006 c What is the closest to -2/3 in -0.4, 82, 0.1, -2? -0.4 Which is the closest to -1? (a) -5 (b) -0.09 (c) 4 b Which is the closest to 19/5? (a) 0 (b) 0.2 (c) -0.4 b Which is the closest to -8? (a) 4 (b) 1/3 (c) 2 b Which is the closest to -10? (a) 1/3 (b) -0.1 (c) -0.3 c What is the nearest to 4 in 4, 0.3, 2/5? 4 What is the closest to 0.1 in 3/7, 215, 0.15? 0.15 Which is the nearest to -17? (a) 0.1 (b) -1/4 (c) 1 (d) 0 b What is the closest to 1 in 0.2, -3, -4, 2.3? 0.2 Which is the closest to -1? (a) -11/3 (b) 0 (c) -5 (d) -2/15 d Which is the nearest to -0.1? (a) -0.4 (b) -3 (c) 0.079 c What is the closest to -16 in -2, 4, 0? -2 Which is the nearest to 0.3? (a) -4/3 (b) -2/7 (c) -3/10 (d) 1 b What is the nearest to 1/3 in -53, 0, -0.3, -2/5? 0 Which is the closest to -1/6? (a) -4 (b) -1/3 (c) -1/16 c Which is the nearest to 7? (a) -0.3 (b) -10 (c) 0.014 c Which is the nearest to 1? (a) 1/4 (b) -2 (c) 0.09 (d) 0.1 a Which is the closest to 0? (a) -4/11 (b) 1/8 (c) 3/2 (d) 3 b Which is the closest to 1? (a) -4/17 (b) -0.3 (c) 5 a What is the nearest to 0 in -2/3, 0, 0.2, -47? 0 Which is the closest to 1? (a) 3.7 (b) -0.2 (c) 12/17 c Which is the closest to -0.1? (a) -1 (b) 4 (c) -2/11 c Which is the nearest to 1/26? (a) 6/5 (b) 0.1 (c) 6 b Which is the closest to 0? (a) -21/2 (b) -1/10 (c) 2/7 (d) 3 b Which is the closest to -1? (a) 0.4 (b) 4 (c) -15 a Which is the closest to 0? (a) 27 (b) 0.17 (c) 5 b What is the nearest to -15 in -8, 4, 0.1, 1? -8 What is the nearest to -1 in 2/13, -1/4, 0.5, 1? -1/4 What is the closest to 2 in -93, -4, -2/9, 0.4? 0.4 What is the closest to -1 in -0.6, -1, -1/13? -1 Which is
{ "pile_set_name": "DM Mathematics" }
out replacement from csasesjiesajjse. 1/273 Two letters picked without replacement from {y: 7, n: 1, a: 3, k: 5}. What is prob of picking 1 a and 1 k? 1/8 Two letters picked without replacement from {x: 2, p: 2, i: 1, e: 1}. What is prob of picking 1 i and 1 x? 2/15 Two letters picked without replacement from yfutut. Give prob of picking 2 t. 1/15 Two letters picked without replacement from {l: 1, t: 4, n: 1, r: 1, h: 2}. What is prob of picking 1 r and 1 l? 1/36 What is prob of picking 2 f when two letters picked without replacement from iffiffififikfkikfi? 28/153 Calculate prob of picking 1 m and 1 w when two letters picked without replacement from mumdmddzndmw. 2/33 What is prob of picking 1 n and 1 q when two letters picked without replacement from {o: 6, m: 1, g: 2, n: 7, q: 1, c: 2}? 7/171 Calculate prob of picking 3 f and 1 c when four letters picked without replacement from {c: 6, f: 12}. 22/51 What is prob of picking 1 c and 1 v when two letters picked without replacement from {p: 10, v: 1, l: 2, c: 1, n: 3}? 1/136 Three letters picked without replacement from {b: 8, f: 3}. What is prob of picking 3 f? 1/165 What is prob of picking 1 r, 1 h, and 1 o when three letters picked without replacement from {y: 3, h: 2, r: 1, m: 1, c: 3, o: 1}? 2/165 What is prob of picking 1 m and 2 d when three letters picked without replacement from {d: 2, m: 2, e: 3, x: 1, p: 4}? 1/110 Calculate prob of picking 4 u when four letters picked without replacement from {z: 1, u: 18}. 15/19 Four letters picked without replacement from {r: 3, b: 6, o: 3, a: 5}. What is prob of picking 1 b, 1 a, and 2 o? 9/238 Three letters picked without replacement from enannnea. What is prob of picking 3 n? 1/14 What is prob of picking 1 o and 3 y when four letters picked without replacement from ytttlttyyttttoyyt? 1/238 Three letters picked without replacement from gygyygygycgggygggy. Give prob of picking 1 c and 2 g. 15/272 What is prob of picking 4 w when four letters picked without replacement from wwww? 1 Four letters picked without replacement from bviairr. Give prob of picking 1 v, 2 r, and 1 i. 2/35 What is prob of picking 1 l and 1 j when two letters picked without replacement from {w: 4, l: 3, v: 3, g: 6, j: 2}? 2/51 Two letters picked without replacement from {i: 12, c: 6}. What is prob of picking 1 i and 1 c? 8/17 Two letters picked without replacement from {l: 1, t: 3, m: 4}. Give prob of picking 1 l and 1 t. 3/28 Calculate prob of picking 1 p and 1 m when two letters picked without replacement from {c: 1, p: 9, m: 1}. 9/55 Calculate prob of picking 1 b, 1 p, and 1 u when three letters picked without replacement from {b: 2, p: 2, u: 2, v: 3}. 2/21 Three letters picked without replacement from {f: 2, a: 3, r: 6, q: 1, n: 6}. What is prob of picking 1 r and 2 n? 15/136 Two letters picked without replacement from rdpwa. What is prob of picking 1 a and 1 w? 1/10 Two letters picked without replacement from eogguggqgogggegg. Give prob of picking 1 q and 1 u. 1/120 Calculate prob of picking 1 h, 2 m, and 1 q when four letters picked without replacement from mdhmzyqhz. 1/63 Four letters picked without replacement from ieererr. What is prob of picking 2 e and 2 r? 9/35 Two letters picked without replacement from {v: 9, w: 11}. Give prob of picking 2 v. 18/95 What is prob of picking 1 q and 1 m when two letters picked without replacement from {m: 6, q: 4}? 8/15 What is prob of picking 2 z when two letters picked without replacement from gbbbzvbgzbzzbbbzgzb? 5/57 Calculate prob of picking 1 p and 2 y when three letters picked without replacement from {w: 2, l: 1, z: 1, p: 1, y: 2, q: 1}. 1/56 What is prob of picking 4 a when four letters picked without replacement from {x: 1, a: 19}? 4/5 Two letters picked without replacement from {h: 1, x: 3, t: 2, l: 3, j: 5, s: 1}. Give prob of picking 1 t and 1 s. 2/105 What is prob of picking 1 w and 2 g when three letters picked without replacement from gonixgniw? 1/84 Four letters picked without replacement from kkkydkykkkyd. What is prob of picking 3 y and 1 k? 7/495 Calculate prob of picking 1 u and 1 a when two letters picked without replacement from {u: 1, v: 1, j: 1, d: 2, a: 2, g: 2}. 1/18 What is prob of picking 2 v and 1 i when three letters picked without replacement from ivfvvvvva? 5/28 Calculate prob of picking 2 a when two letters picked without replacement from uauuuuuuauuu. 1/66 Two letters picked without replacement from ererdeddeer. Give prob of picking 2 e. 2/11 Two letters picked without replacement from {x: 3, i: 8, p: 7}. What is prob of picking 2 x? 1/51 What is prob of picking 2 l when two letters picked without replacement from {l: 14, t: 4}? 91/153 Two letters picked without replacement from {j: 2, p: 2, r: 7}. What is prob of picking 1 j and 1 r? 14/55 Four letters picked without replacement from qnnsssqnvqvae. What is prob of picking 3 s and 1 a? 1/715 Two letters picked without replacement from zyyzzzy. What is prob of picking 2 y? 1/7 What is prob of picking 1 n and 1 y when two letters picked without replacement from {y: 4, n: 1, u: 5, f: 1}? 4/55 Two letters picked without replacement from {a: 2, f: 4}. What is prob of picking 2 f? 2/5 Three letters picked without replacement from {y: 1, d: 1, m: 1, g: 1, w: 2, l: 1}. Give prob of picking 1 y, 1 d, and 1 l. 1/35 What is prob of picking 1 l, 1 e, and 1 a when three letters picked without replacement from {e: 1, l: 2, n: 1, a: 2}? 1/5 Calculate prob of picking 2 h when two letters picked without replacement from yyhyyhyyyh. 1/15 Calculate prob of picking 3 s when three letters picked without replacement from snssjjbjsbp. 4/165 What is prob of picking 1 f, 1 m, and 2 b when four letters picked without replacement from ktfbbmp? 1/35 Calculate prob of picking 1 a, 2 x, and 1 q when four letters picked without replacement from {t: 2, i: 4, q: 2, d: 2, a: 3, x: 3}. 9/910 What is prob of picking 3 z when three letters picked without replacement from {z: 5}? 1 Calculate prob of picking 3 g and 1 l when four letters picked without replacement from nnnggnnnnnnnlnngn. 1/2380 Four letters picked without replacement from {l: 1, y: 7}. What is prob of picking 4 y? 1/2 Calculate prob of picking 1 j, 1 r, 1 l, and 1 q when four letters picked without replacement from {r: 1, q: 3, m: 1, l: 1, j: 1}. 3/35 What is prob of picking 2 w when two letters picked without replacement from zzzzswwswwz? 6/55 What is prob of picking 2 q when two letters picked without replacement from {x: 6, d: 1, k: 2, r: 1, q: 2}? 1/66 Calculate prob of picking 2 e and 1 k when three letters picked without replacement from {d: 4, e: 8, k: 1, t: 2}. 4/65 Four letters picked without replacement from {o: 2, h: 1, y: 2, d: 1, q: 1, c: 2}. What is prob of picking 1 h, 1 c, 1 d, and 1 y? 2/63 What is prob of picking 3 p and 1 x when four letters picked without replacement from {x: 1, k: 3, p: 4}? 2/35 Four letters picked without replacement from {k: 4, p: 3}. What is prob of picking 2 k and 2 p? 18/35 Calculate prob of picking 1 w and 1 v when two letters picked without replacement from {w: 1, c: 2, s: 9, j: 4, v: 3}. 1/57 Two letters picked without replacement from {o: 1, e: 1, v: 1, g: 2, f: 2}. What is prob of picking 2 g? 1/21 Two letters picked without replacement from ffvmdffdm. What is prob of picking 2 d? 1/36 What is prob of picking 1 z and 2 w when three letters picked without replacement from dggzglzzlzzwwg? 5/364 Calculate prob of picking 2 t when two letters picked without replacement from zzztzzzztntnnzzzntz. 2/57 Three letters picked without replacement from {j: 1, w: 4, e: 2, u: 2, n: 5}. What is prob of picking 1 n and 2 w? 15/182 Calculate prob of picking 1 k and 1 n when two letters picked without replacement from {u: 5, g: 4, k: 5, q: 5, n: 1}. 1/38 Four letters picked without replacement from {e: 1, l: 5, c: 5}. What is prob of picking 3 l and 1 c? 5/33 What is prob of picking 2 m and 1 n when three letters picked without replacement from denndmgenmneemmdmge? 40/969 Calculate prob of picking 1 q, 1 o, and 1 w when three letters picked without replacement from {q: 1, x: 7, u: 1, o: 1, w: 5}. 1/91 Two letters picked without replacement from ddhhzzzdzmzhfxddhhdz. Give prob of pickin
{ "pile_set_name": "DM Mathematics" }
*u - 1126*u - 11, l - 5 = -2*u for l. 3 Solve 0 = -5*t + 4*b - b + 174, 64 = -79*t + 76*t - 3*b - 134 for t. -3 Solve -4*f - 3*z = 65, 8203*f + 5*z = 8205*f - 8 - 57 for f. -5 Solve 2*y = 4*y + 3*h + 18, 0*y - y + 77*h - 44 = 61*h for y. -12 Solve 2*u - 2*z = -40, 5793*u - 5798*u - 68 = 3*z for u. -16 Solve -260*f - 2*y = 61*f - y + 317, 5*f - 3*y = -17 for f. -1 Solve -5*j + 5*k = -25, 23931*k - 15 = 4*j + 23934*k for j. 0 Solve -4*r + 12 = 3*j, -3*j - 512*r + 885 = -217*r for j. 0 Solve -4*h - 63 = h + 3554*f - 3550*f - 7, -2*h - 5*f - 53 = 0 for h. -4 Solve k - 34 = 31*q - 36*q, -2*k + 5 = q for k. -1 Solve 8 = 4*u - 2*k, -2*u - 176 = -1683*k + 1697*k for u. -4 Solve 48 = -17*a + 4*p, -2013 = 2*p - 2003 for a. -4 Solve 5*u + 8877*c - 8872*c = 30, -4 = -2*u + 6*c for u. 5 Solve 5*d + 26 = y, 0*y + 67 = y + 4*y - 4*d for y. 11 Solve c + 284*y + 41 = 95*y + 94*y + 96*y, y - 16 = -4*c for c. -5 Solve -2*a = j + 10, 8*a + 38*j + 24 = -4*a + 34*j for a. 4 Solve -4*v + 5*m = 17, -v - 2*m = 55787 - 55799 for v. 2 Solve 13*s - 27 = 10*s + 4*r, -3*s - 15*r + 27 = -17*r for s. 9 Solve 7*i - 5*i = n + 10*i - 4*i, 0 = -3*n - 4*i + 8 for n. 4 Solve -5*n + 54 = 886543*q - 886517*q, -3*n = -4*q + 46 for q. 4 Solve -2332 = u + 2*r + 2329 - 4667, -42 = -7*u - 2*r for u. 6 Solve -96 = -4*p + 1234*l - 1235*l, -4*p + 104 = 3*l for p. 23 Solve 2*a - 2*a + 25 = 2*a - 1, 6*a = -0*r + 2*r + 68 for r. 5 Solve -t - 1674*c - 11 = -1677*c, -3*c = -3*t - 3 for t. 4 Solve 7*w - 2*c = -10*w + 13*w - 106, -c = -4*w - 101 for w. -24 Solve 3*p + 2*p = 5*v + 9 + 6, 549*v - 552*v = 36*p - 69 for p. 2 Solve r = -57*q + 3306, 2*q - 2*r = 18781 - 18665 for q. 58 Solve -530*g - 78 = -526*g - 2*d, -188 = 10*g + 2*d for g. -19 Solve m + 3 = 5*m + t, 4*m - 1891*t = -1896*t - 1 for m. 1 Solve 933*r = -a + 928*r + 19, -4*a = 8*r - 28 for a. -1 Solve 2*d - 2*r + 52 = -2*d - 0*r - 3*r, -11*d + 5*r = -105 for d. -5 Solve 10*r - 4*r + 5*q - 4 = 4*r, -16 = 4*r + 4*q for r. -8 Solve 5*v = c - 20, -20 = -2*c + 46092*v - 46087*v for c. 0 Solve -2*h + 202*q - 55 = -196*q + 401*q, -5*h = 4*q + 141 for h. -29 Solve 17*m + 543 = -6*w, 47*m - 46*m + 3*w + 24 = 0 for m. -33 Solve 11*u = 26*b - 416, 61*b - 120*b + 57*b - u - 42 = u for b. 5 Solve 1934*m - 5*z = 1929*m, 3*z + 2 = 5*m for m. 1 Solve -3*f = -4*z + 156, 6*f - 5051 = 5*z - 5255 for f. -4 Solve -3*g - 182404 + 182406 = v, 2*g - 8 = -2*v for v. 5 Solve -5*d + 9*d - 2*r = 60, r + 45 + 70 = 8*d - 11 for d. 16 Solve 64849*i - 64856*i + 123 = 5*x, -5*i + x + 97 = 0 for i. 19 Solve -5*t + 2*i = 87, -t + 504303*i = 504304*i + 16 for t. -17 Solve 598 = -19*i - 4620*o - 4621*o + 9253*o, -116 = 4*i - 5*o for i. -34 Solve 33*z + 34*z = -17*g + 105*z - 33*z + 168, 2*g - 6*z = 3*z + 45 for g. 9 Solve -5*b = -5*a - b - 65, 1013*a + 3*b - 55 = 1018*a for a. -5 Solve -5*d = 10373*f - 10372*f - 538, -3*d + 9*f = -342 for d. 108 Solve -o - 5*q = 22 + 26 + 16, 3*o - 3*q = 42 for o. 1 Solve -50 = -8*k + v, 3*k - 18*v + 9 - 22 - 41 = 0 for k. 6 Solve 5*x - 5 + 27 + 22 = 4*r + 5, -21*r + 3*x = -42 for r. 1 Solve 1226 = -3*h + 2*t + 1228, 0 = 2*h + 3*t - 12 - 11 for h. 4 Solve 3*z - 68 = 3*j + 46, 0*z + z + 3*z = 144 for j. -2 Solve -6*z = 2*m - 11*z + 17, 6482*z - 6483*z + 55 = -9*m for m. -6 Solve 24 = -i - 5*j, 17*j + 15*j + 22*j - 34 = i + 61*j for i. 1 Solve 91*k + 2366 = -3*j, 3*k = -3*j - 227 + 149 for j. 0 Solve 3*i + 2*i - v = 46, 0 = 4*i - 4*v + 8*v + 88 for i. 4 Solve j = -4*m - 4, -1 = 5*j + 538282*m - 538281*m for j. 0 Solve -j + 19 = 2*a, 2*a - 8 = 3486*j - 3498*j for a. 10 Solve -5*o = 2*o - 30*o + 5*k - 350, -4*k = -o - 7*k - 12 for o. -15 Solve -2*b - 27*z = -108, -4*z = b + 840 - 856 for b. 0 Solve -5 = 5*f - 5*m, -9724*f + 9728*f - 4*m + 7*m - 24 = 0 for f. 3 Solve 0*a - 21 = 2*a + 2028*z - 2059*z, -a = -3*z - 2 for a. 5 Solve l - 2*l + 3*l + 198 = 19*b, b - 675*l - 18 = -673*l for b. 10 Solve 0 = -6*p - 2*i + 26, -15814 = -3*p + 5*i - 15807 for p. 4 Solve -310*k + 3*x + 23 = 2*x + 354, -2*k - 66 = k - 3*x for k. -1 Solve 4*d = -16, 0*k + 0*d + 5*d = 8*k + 3*d - 0*d for k. -1 Solve -2*v = -2*u + 14, -3*v = -3*u - 9*v + 11 + 8 + 2 for u. 7 Solve -7*q = r - 41, 622*r + 5*q = 627*r - 3 - 2 for r. 6 Solve 0 = -2*d - 238*a + 722, 3*d + d - 28*a = d - 33*a + 27 for d. 4 Solve -14*q + 30*q = -37*q - 3*s + 212, -q = 4*s - 4 for q. 4 Solve -1464*c = -13*f - 1463*c + 14, f + 56 = -4*c for f. 0 Solve n + 3*n + 339*c - 342*c = 50, 42*n = -c + 460 for n. 11 Solve 2*i - 88 = -w, -6*w - 4*i = 7*w - 6*w - 509 - 127 for w. 92 Solve 0*u = u - l + 22, 0 = 18*l + 10*l + 28 - 84 for u. -20 Solve 21*d = 19*d + 8*o + 71 + 35, -3*d + 2*o + 39 = 0 for d. 5 Solve 0 = 7*d - 5*m + 44, -70*m - 72*m = -3*d - 139*m - 30 for d. 3 Solve -2*t - 4*b - 30 - 16 = -68, 4*b + 1 = 21 for t. 1 Solve y + 21 + 24 = 10*m, 72*y + 67*y = 134*y + 3*m + 10 for y. 5 Solve -10*k - 3*o - 108 = -13*k, -223 = 186*k + o for k. -1 Solve 45 = -5*m + 5*g - 105, -27*m + 22*m - 114 = 7*g for m. -27 Solve 5*p - 26*z + 72 = -941, -5*p + 51 = 2*z for p. -5 Solve k + m + 34 = 41, -243*k + 4*m = -251*k + 36 for k. 2 Solve 0 = t + 103*z - 51*z - 51*z - 39, 0 = 2*z - 74 for t. 2 Solve 4*y - 6*k + 110 = 0, -2*y - 4*k + 3204353 - 3204261 = 0 for y. 4 Solve 355*u - 357*u = 3*x - 84, -u - u = x - 76 for x. 4 Solve 4*r - 6*j = -24, 4*j - 5*j - 10 - 18 = -3*r - 8*j for r. 0 Solve -278 = 3*u - 281, 0*u = 7*q - 5*u - 93 for q. 14 Solve 2*l + 5*g + 19 = -4 - 3 - 16, -4 = 2*g for l. -16 Solve 0 = -2*t + 7*i - 46, 4 = 3*i - 10 - 10 for t. 5 Solve 3*k = -4*b - 19 + 39, -6*k = 4*b + b - 4*k - 25 for b. 5 Solve 163*d + 2*h = 167*d - 34, 3*h + 59 = 8*d for d. 4 Solve 2*k - u = -16, 0 = -4*k - 238*u + 234*u - 44 for k. -9 Solve -7*i + r = -2*i + 27, -35*i + 2712 = r + 2925 for i. -6 Solve -7*i - 10*i - g = -15*i - 27, 5*i - 70 = -5*g for i. 13 Solve -17*g - 86 = 3*i, -168215*g + 336430*g + 28 = 168211*g - 2*i for g. -4 Solve 2*q = -2*c - 3*q - 33 - 2, -630*q + 25 = -3*c - 632*q for c. -5 Solve 3*g + 442 = -185*d, -d - 2*d - 76 = -5*d + 4*d + 2*g + g for d. -2 Solve -28*r + 21*m - 37*m = -23*m + 196, 5*r = -4*m - 56 for r. -8 Solve 0 = -4*w - 16*r + 32, 3*w + 20 = 3*r - 18 + 2 for w. -8 Solve x - 108*u - 7 = -111*u, -9 + 67 = -23*x + 4*u for x. -2 Solve 2*b + 1550*l + 22 = 1545*l, 3*b - 14*l - 29 = 24 for b. -1 Solve -3*x + 65 = -5*u, 0 = 203*u - 201*u - 2*x + 41 + 9 for u. 5 Solve -20*f + 2*t - 228 = -318, 5*f - 45 = -4*t for f. 5 Solve -4*n - 3*i = -50, -112*n - 2*i + 35 = -109*n for n. 5 Solve n = -3*a + 5*a + 32 - 49, 9*a - 4*n = 77 for a. 9 Solve -86*o - 85 = -t, -98*o + 95*o = 5*t + 8 for t. -1 Solve -2*c = -4*q + 1803 - 925 - 932, 5*c = -2*q + 75 for q. -5 Solve 4531*t = -16*b + 4530*t + 34, 5*b + 2*t - 14 = 0 for b. 2 Solve -2*v = 2*s - 43 - 65, 2*v = -4 + 2 for s. 55 Solve -3*o - 33 = -65*i + 63*i, -2*o + 24 = -4*i - 6*o for i. 3 Solve -19*s - c - 97 = 0, -83*s - 2*c + 0 - 9 = -82*s for s. -5 Solve 4*d - 9*k + 62 = 104, 5*k - 16 = 5*d - 81 for d. 15 Solve g + 6 = 2*j, -4*g + 47 = -4*j - 5 + 88 for g. -12 Solve -4*h + 4*m - 4 = 0, -3*h - 11 = -2800*m + 2805*m for h. -2 Solve r - 13 = 5*o, -1792*o + 1790*o - 3448 = -91*r for o. 5 Solve -25 = -5*t - 2*r, 570*t - 3*r + 44 = 569*t + 32 for t. 3 Solve -3*j = 3*z - 24, 12485*z - j + 12 = 12488*z for z. 2 Solve -r - 30 = -5*n, 4*n + 3517 = -3*r + 3522 for n. 5 Solve 28*c - 3*h - 25 = 0, 5*h + 19 = 24*c + 7*c - 7 for c. 1 Solve -100*l + 98*l + p = -71, -2*l + 6*p = -86 for l. 34 Solve 276*c - 273*c - 18*v = 6, 3*v + 2*v + 240 = -10*c for c. -22 Solve -8*h + 0 = -3*h + 20, 5*h - 1144 = -5*t - 1364 for t. -40 Solve 2*a - 13 = -y, -2*a = -3*y - 6538 + 6545 for a. 4 Solve -2*i = 251*z - 255*z + 42, -4*i - 51 = 3*z for z. 3 Solve -3*y - 18*u = -0*y - 0*y + 534, -5*u - 146 = -3*y + 5*y for y. 2 Solve d - 20 = 6*d + 2*h, 4*d = 4*h - 16 for d. -4 Solve 5*l + 22 = -3*c, c - 24706*l = -0*c - 24709*l - 10 for c. -4 Solve -14*r - 326 - 101 = -9*r + 2*h, 40*r - h + 1686 = -1798 for r. -87 Solve 5*n + 87 + 107 = 4*o - 139 + 95, -5*o + 293 = -4*n for n. -2 Solve 150487*c = 150490*c - 4*d + 16, 58 = -3*c + 10*d for c. 4 Solve 3*t + 495*u = 450*u - 1065, -52 = 4*t + 3*u for t. 5 Solve -z + 155262*o - 14 = 155267*o, 3*z - o + 106 = 0 for z. -34 Solve 0 = -m + 274*u - 270*u + 135, -141 =
{ "pile_set_name": "DM Mathematics" }
n and 40. 5 Let n(y) = 2*y. Let q be n(2). Suppose 5*u + 262 = 2*d + 22, -q*u = -4*d + 456. Calculate the greatest common factor of d and 22. 22 Let m = -3 + 13. Let h be (-12)/m*(-245)/14. Let g = h - -11. Calculate the highest common factor of g and 96. 32 Let r be (-12)/10 + 25/125 - -17. What is the greatest common factor of 1 and r? 1 Let s be -1*3/(-2)*6. Suppose r - 13 = 2*d - 6, -3*r = -s. Let w be ((-3)/(-6))/(d/(-60)). Calculate the highest common factor of w and 45. 15 Suppose 3*n - 126 = -2*j, n - 6*n + 212 = 4*j. What is the greatest common divisor of n and 8? 8 Suppose -5*k + k = -j + 47, k - j = -14. Let y be (k + -13)*(-1)/1. Suppose 6*c = 96 - y. Calculate the highest common factor of c and 3. 3 Suppose 0 = x - 0*x + a - 87, -2*x = 5*a - 180. Suppose 0 = 2*u - 95 - x. What is the greatest common factor of u and 30? 30 Let i be 96/(-9) + 1/(-3). Let t = i + 18. Let g be (55/(-22) + 4)*224/6. What is the highest common divisor of g and t? 7 Let v be (-429)/91*-7 + 11. Calculate the greatest common divisor of 330 and v. 22 Suppose 4*a + w = 5241, -3917 = -3*a - 6*w + 8*w. Calculate the greatest common factor of a and 77. 77 Let v be (-100)/(-16) - (-3)/4. Suppose s = -2*d + v*d + 29, -2 = -d. Calculate the highest common divisor of 26 and s. 13 Suppose -261 + 93 = -21*a. Let m(k) = -3*k**3 + k**2 + k - 2. Let y be m(-2). Calculate the highest common factor of a and y. 8 Let h = 14 - 106. Let z = -66 - h. Let y = 95 - 56. Calculate the highest common factor of y and z. 13 Let t be 2/6 - (-304)/6. Suppose 0 = -5*w + 3*o + t, -6 = -w - 2*o + 4*o. Suppose -9 = -i + 3. Calculate the highest common factor of i and w. 12 Suppose 2*u = -3*u + 90. Suppose 845*a - 834*a - 22 = 0. Calculate the highest common divisor of u and a. 2 Suppose q - 31 - 59 = 3*i, 2*q = 4*i + 188. Calculate the highest common divisor of 170 and q. 34 Let z = 63 + -88. Let o = z - -25. Suppose -f = -o*f - 5. Calculate the highest common factor of f and 25. 5 Let y = -21 - -37. Suppose -3 = -19*x + y*x. What is the highest common factor of x and 7? 1 Let z(s) = 5 - 10 + 4 + 3*s + 3. Let f be z(4). What is the greatest common factor of 35 and f? 7 Let w be (-2)/(-10) + 348/10. Let o = w - 15. Let a = 143 + -135. Calculate the greatest common factor of a and o. 4 Let j be 9/(216/(-16)) - (-716)/3. Calculate the greatest common factor of j and 34. 34 Let w = -25 + 18. Let z = 77 + w. What is the greatest common divisor of 28 and z? 14 Suppose -3*g = 0, 3*g = -6*n + n + 20. Suppose 3*z = -3*j + 15, -z - z + 10 = 0. Let d be (3 - n)*(-2 - j). Calculate the highest common divisor of 22 and d. 2 Let f = -251 + 482. Calculate the highest common factor of f and 33. 33 Suppose 0*a - 30 = -3*a + 5*j, 3*a - 27 = 4*j. Suppose 0 = 2*w - 4*w + a*b + 177, -3*w = 3*b - 276. Calculate the highest common factor of 13 and w. 13 Let q(u) = -u**3 - 9*u**2 - 8*u + 5. Let i be q(-8). Suppose 2*p = -4*a + 64, -48 - 107 = -5*p - i*a. Calculate the highest common divisor of p and 15. 15 Let y(x) = 6*x**2 - 4. Suppose 0 = -5*a + 4*a + 26. Let n = 29 - a. Let v be y(n). Calculate the highest common divisor of 10 and v. 10 Let t(u) = 12*u**2 - 5*u + 9. Let c be t(1). Calculate the highest common divisor of c and 4. 4 Suppose 2*m - 6*k - 18 = -2*k, -2*m - 3*k = -4. What is the highest common divisor of m and 2? 1 Let o be 0 + -1 - (11 + -290 + 2). Calculate the highest common factor of 69 and o. 69 Let w(m) = m**3 - 11*m**2 + m - 11. Let x be w(11). Suppose 4*y - 2*y - 304 = x. Suppose -s - 2*s + 57 = 0. What is the greatest common divisor of y and s? 19 Suppose -50 = -t - t + 2*r, 5*t + 2*r - 160 = 0. Let o(l) = -51*l + 3. Let p be o(-4). Let f = p + -117. What is the highest common divisor of f and t? 30 Let l be (-1 + 6)*24/20. Let n = 69 - 106. Let y = n + 39. What is the highest common divisor of y and l? 2 Let m be (45/3)/(-5) + (-2 - -285). What is the highest common divisor of 40 and m? 40 Let s be 3/(-12) + (-50)/(-8). Let i be (13 - s)/((-1)/(-23)). Calculate the greatest common divisor of i and 23. 23 Suppose -153 = -7*c + 1. Let z = c - 18. Suppose -z*m - 16 = -76. Calculate the highest common divisor of m and 30. 15 Suppose y - 2*y - 4*j + 20 = 0, 4*j = -5*y + 84. What is the highest common divisor of y and 944? 16 Suppose 3*j + 54 = -0*j. Let r be ((-1)/(-4)*-6)/(1/j). Calculate the greatest common factor of 9 and r. 9 Let d(z) = 7*z - 20. Let w be d(3). Let b be (-2 - w) + (3 - -47 - -7). What is the highest common divisor of b and 36? 18 Let m(o) = -o**2 - 25*o - 34. Let p be m(-22). What is the highest common factor of p and 336? 16 Let z be (-4 + (-7)/(-2))*0. Let j be 1 + (3 - z) - -13. Let h(f) = 21*f + 6. Let y be h(7). Calculate the greatest common divisor of j and y. 17 Let b(s) = 0 - 10 - 1 - 1 + 17 + 5*s. Suppose -2 - 7 = -3*d. Let u be b(d). Calculate the highest common divisor of 140 and u. 20 Let o be 1/((-32)/33 - -1). Suppose 4*i = 5*s + 4 - 171, -o = -s + i. Let f be 114/190*(-25)/(-3). Calculate the highest common divisor of s and f. 5 Let c = 556 + -526. Calculate the greatest common divisor of 96 and c. 6 Suppose -3*g + 3*r = 0, 2*r - 19 = -2*g - 3. Suppose -2 = 2*f, -67 = -3*k - g*f - f. Calculate the greatest common divisor of k and 120. 24 Let i(j) = -j - 6. Let s be i(-2). Let o be (s/(-2) - 0) + 30 + -9. Calculate the highest common factor of 207 and o. 23 Let t = 34 - -316. Calculate the greatest common divisor of 14 and t. 14 Let f(a) = 2*a**2 - 23*a + 17. Suppose 0 = 6*c - 11*c + 55. Let v be f(c). What is the highest common divisor of v and 9? 3 Let d be (-8)/144*6 - 37/(-3). Let p(x) = 3*x**2 - 2*x. Let k = -5 - -7. Let r be p(k). Calculate the greatest common factor of d and r. 4 Suppose 6*w - 35 = w - 3*k, w + 5*k = 29. Suppose -5*c = -15, w*j - 217 = -2*c + 5. Calculate the greatest common factor of 18 and j. 18 Suppose 7*y - 3*y + 106 = 3*w, 3*w = 2*y + 110. What is the greatest common factor of 475 and w? 19 Let q = 45 - 85. Let j = q + 48. Calculate the highest common divisor of j and 88. 8 Let o be (-3)/(-2)*2 + (59 - -6). What is the greatest common factor of o and 85? 17 Let t = -36 + 44. Suppose -10*j + 54 = -t*j. What is the highest common factor of 18 and j? 9 Let o be (-1)/(-2)*170/5. Let q be (o + -51)*(1 + (1 - 4)). Suppose 8*r - 4*j - 60 = 4*r, -j = -2. Calculate the highest common divisor of r and q. 17 Suppose -93 = -b + 98. Calculate the greatest common divisor of b and 1. 1 Suppose 9*v - 56 = -20. Suppose v*t + 3*i + 15 - 64 = 0, 2*i + 74 = 4*t. What is the highest common factor of t and 256? 16 Let l = 12 + -10. Let w be 3 + -3 - (l - 4). Suppose 15 = h + w*i, h - 4*i = -9 + 24. What is the greatest common divisor of 6 and h? 3 Suppose 3*u = -6*b + 3*b + 3, 0 = 2*u - 6. Let d be b/(-4) - 2/4. Suppose -p + 11 + 9 = d. Calculate the greatest common factor of p and 30. 10 Let x(a) = -a**2 - 7*a + 9. Let u be x(-7). Let i be 16/3*15/2. Suppose 0 = -4*n - 4 + i. What is the greatest common factor of u and n? 9 Let k = -51 - -87. Suppose -35*h - 16 = -k*h. Calculate the greatest common divisor of h and 8. 8 Suppose -12*v + 20*v = 16. Suppose 0*n + 4*h = -3*n + 4, -h - 8 = 3*n. Let c be 11/(-22) + (-6)/n. What is the greatest common divisor of v and c? 1 Suppose 7*d + 45 - 10 = 0. Let q be (d - (-2 + -2))/(1/(-121)). What is the highest common divisor of q and 11? 11 Let m(a) = a + 35. Let p be m(-14). What is the greatest common factor of 1134 and p? 21 Suppose 0 = 2*y + y - 276. Suppose -3*u + 8*u - 104 = -3*n, 0 = -3*n - 2*u + y. Let s = n - 19. What is the highest common factor of s and 9? 9 Suppose -2*r - 14 = -3*n, -4*n + 11 = 5*r - 0. Suppose -n*i + 176 = 16. What is the greatest common factor of i and 320? 40 Suppose 507 = -9*j + 22*j. Calculate the highest common divisor of 312 and j. 39 Let q = -733 - -736. What is the greatest common factor of q and 375? 3 Suppose 667*w - 672*w + 375 = 0. What is the highest common divisor of w and 300? 75 Suppose 7*l - 6*l + 2 = 0, 3*c - 887 = -2*l. What is the greatest common divisor of c and 27? 27 Let r = 147 - 138. Suppose -4*c = -3*j - 51, -5*j + 15 = 5*c - 5. What is the greatest common factor of r and c? 9 Let q be 12 + (-4)/8*-2. Suppose -7 = r - q. Suppose -5*f = -0*k + 4*k - 18,
{ "pile_set_name": "DM Mathematics" }
-400 - -395. Which is the closest to 2? (a) l (b) 5 (c) -2 (d) 0.1 d Let w be (-13)/(234/20) + 1. Let j = 33/5 + -6. Which is the nearest to 0.1? (a) w (b) j (c) 0.3 c Let f(h) = -h**2 + 6*h + 4. Let a be f(6). Suppose 0 = -y - v + 215, 2*y = -y + 5*v + 637. Let l = -2784/13 + y. What is the closest to 1 in -18, l, a? l Suppose -y + 33 - 34 = 0. What is the closest to y in -2, -6, 2? -2 Let j = 4 - 7. Let f = 3979 - 3979.5. Which is the closest to j? (a) 0 (b) 1/2 (c) f c Suppose 3*d = 2*v + 2*v - 111, 42 = v + 4*d. Let n = v + -35. Which is the nearest to 0.1? (a) -1/11 (b) n (c) 2 a Let q = -118 + 114. Let m = -3.6 - -5. Let x = 1.3 - m. What is the closest to 0.02 in 0, x, q? 0 Let v = 0.255 - -32.845. Let i = -33 + v. Which is the closest to i? (a) 0.4 (b) 3 (c) -0.4 a Suppose -4*i - 34 = -2*h, -i - 3 = -2*h + 13. Let w(f) = -f**3 - 4*f**2 + 6*f - 39. Let y be w(i). What is the closest to 2/3 in y, -0.06, 1/6? 1/6 Let x(g) = -g**2 - 7*g + 6. Suppose -2*b = w, 4*w = 2*w + 3*b - 28. Let f be x(w). Let k = 0 + -1. What is the closest to k in -2/7, -2/17, f? -2/7 Let z = -10 + 7. Let c be z + 9*1/2. Let j = 1.4 + -1. What is the closest to -1/2 in j, c, -4? j Let d = 809 + -5660/7. What is the closest to 1.3 in d, -0.3, 1? 1 Let q be 13/(-117) + 0 - (-14)/(-36). Which is the nearest to 16? (a) 2/7 (b) -2/5 (c) q a Let l = -808/7 + 116. What is the closest to 3/2 in -7, -4, -5, l? l Let r be (4 - 1) + (-216)/9. Let c be (8 + -1)*(-18)/r. Let j be (-2)/c*(-2 - -11). What is the closest to j in -0.3, 0.4, -0.2? -0.3 Suppose 5*l + 5*p = -130, 4*p - 26 = l - 0*p. Let r be (-4)/l + 40/(-52)*-5. Let d = 7/55 - -3/11. Which is the nearest to 0? (a) d (b) 5 (c) r a Let o(h) = -2*h**2 - 11*h - 15. Let s be o(-2). Let j be (s/(-25)*5)/((-3)/5). What is the nearest to j in -5, -8, -3? -3 Let x = 1.11 - 5.11. Let z = -67 + 70. Which is the nearest to 0.1? (a) z (b) x (c) -3 a Let r = -225.8 - -209. Let g = 17 + r. What is the closest to -0.2 in 1/6, 5, g? 1/6 Let t be ((-408)/112)/(-17)*(-7)/(-6). Which is the closest to t? (a) 1/3 (b) -4 (c) -0.3 a Let a = -1.106 - -0.106. Let b = -103/6 - -17. Let s = 1 + -2. What is the nearest to a in -5, b, s? s Let j = -0.89 - 0.01. Let b = 0.7 + j. What is the closest to -1 in 3/4, 1/12, b? b Let y = -3 - -3.1. Let r = -10.11 + 10.21. Let q be 0/2 - (-2)/(-10). Which is the closest to y? (a) 0.3 (b) r (c) q b Let v be (-68)/18 - 5*(-32)/40. What is the closest to 2/5 in 0.5, v, -1, 5? 0.5 Suppose v + 2*v + 3 = 0. Let c be v + 1*(-11)/(-1). Let g = 1 - c. What is the nearest to 1 in -3, -2, g? -2 Let d = 275/182 - 17/26. What is the closest to 2/3 in 2, d, 0.4? d Let d = 10 + -10. Let g = 381 + -386. What is the closest to 0.2 in -2/7, g, d? d Let w = 1/18 + 1/9. Let x be (26/6 + -3)/((-26)/3). Which is the closest to 0.3? (a) w (b) x (c) 5 a Let r = -2.2 - 1.8. Let s = -1/5 + -13/35. Which is the closest to -1/11? (a) s (b) r (c) -0.3 c Let v = -1.4172 - -0.0172. Let b = 23/3 + -47/6. What is the closest to -2/7 in v, b, 4? b Suppose -3*w - g + 6 = 0, g + 1 = 2*w + 2. Let f be 1 - (w - 4/18). Let i be 27/24*(2 - (-36)/(-27)). Which is the nearest to 3? (a) i (b) f (c) 3/7 a Let b = 0.73 - 0.43. Let i = 2.27 - 1.27. Let f be (1 - 3)*(-10)/(-4). What is the closest to b in f, 0.2, i? 0.2 Let y = -387 - -388. What is the closest to y in -0.2, 0.04, -1? 0.04 Suppose 3*o + y = 41, y + 0*y - 65 = -5*o. Let u be (-6)/(1 - 4/o). Let q be 10/6*u/(-45). Which is the closest to -2/3? (a) -6 (b) 3 (c) q c Let l = -0.17 + 0.42. Let k = 3.25 - l. Which is the closest to -2? (a) -5 (b) -2/5 (c) k b Let v = -10.8 - 3.2. Let c = v - -14.27. Let d = c - -4.73. What is the nearest to 0 in d, -0.2, 1? -0.2 Let z = 0 - 0. Let m = -390.5 - -391. What is the nearest to z in 2, m, 15? m Suppose 0*t - 21 = t. Let a = -3612 + 3617. What is the closest to 1 in a, t, 1/5? 1/5 Let j = -16.3 + 12.3. Which is the closest to 2? (a) j (b) 0.1 (c) 0.5 c Let c = -4.98 + 1.98. What is the closest to 1 in c, -1/4, -1, -0.6? -1/4 Let j = -187/1344 - -15/64. Let q = j + -3/7. What is the nearest to 2 in -0.4, q, 1/2? 1/2 Let d = -0.6 - -0.5. Let s = -35 + 33. Which is the nearest to 1? (a) d (b) s (c) 0.09 c Let o = 910.5 + -911. Let q = -5 - -8. Which is the closest to -1/2? (a) -3/11 (b) q (c) o c Suppose -8 = -44*o + 42*o. Which is the nearest to 13? (a) -0.1 (b) -0.4 (c) o c Let h(x) = -x**2 - 4*x + 1. Let g be h(-3). Suppose 3*y + 28 = -y - 3*c, 4*c = 3*y - g. Let b = 0.08 - -0.22. What is the nearest to b in 3, 0.3, y? 0.3 Let p = 64 + -834/13. Let g = 104 - 108. Which is the closest to -1? (a) p (b) -1 (c) g b Let g = 0.0947 + -0.0847. Which is the nearest to 2/5? (a) g (b) 5 (c) -8 (d) -1/6 a Let v = -0.013 - 0.086. Let i = v - -0.499. Which is the nearest to 1/10? (a) 2 (b) -1/3 (c) i c Let v = -1893 - -17039/9. Which is the nearest to -1/5? (a) -22 (b) v (c) 0.3 b Let y = -34 + 169/5. Let w be 0 + (-30)/9 + 3. What is the closest to -1 in y, 6, w? w Let x = 3 - 3/2. Let y = 57 - 56.9. Which is the nearest to y? (a) -1/4 (b) 2 (c) x a Let s = -36 + 35.56. Let q = s + -0.06. Let u = 75 + -527/7. What is the closest to -1/2 in u, q, -3/8? q Let x = -2.1 - -2. Let s = 2/169 + -175/507. Which is the nearest to s? (a) 2 (b) -0.3 (c) x b Suppose 2*g + 32 = -2*z, z - 3*g + 0*g = -12. Let a be 67/95 - (-9)/z. Let s = -6 + 5. What is the nearest to s in -2/19, a, 0? -2/19 Let o = 5.74 - 5.24. Let s = -1.1 + 1. What is the closest to s in -0.3, 3, o? -0.3 Let k = 3.053 - 0.053. Which is the nearest to 0? (a) 7 (b) 5 (c) k c Let f = 0.7 - 0.2. Let b = 16 - 16.6. Let u = -109.3 + 109. What is the closest to 0 in u, f, b? u Let x = 0.0594 + -2.0594. Which is the closest to -4? (a) -1 (b) 0.06 (c) x c Let o(y) = -9*y - 8*y - y - 37 + 10*y. Let k be o(-5). Which is the closest to -0.2? (a) k (b) -0.04 (c) -2/7 c Suppose 0 = 4*r - 2*g + 2, -2*r - 1 = g - 2. Suppose -w - 15 = -3*s + 2*w, -21 = -5*s + w. Which is the closest to 0? (a) s (b) r (c) 1/6 b Let n = 0.8 + 2.2. Let s = 0 + 4. Let r = 0.01 + 0.29. What is the closest to r in -1/4, s, n? -1/4 Let z = -5.3 + 5.3. Let h = -23 + 12. Which is the closest to z? (a) h (b) -2 (c) -0.3 c Let z = -1510 - -1510. What is the closest to z in -0.45, -0.5, 0.3? 0.3 Let a = -3.6 + 4.6. Let c = -5.4 + 4.4. What is the nearest to -1 in a, c, -1/5? c Let q(g) = g**3 - 4*g**2 + g. Let v be q(4). Suppose s - 3 = v. Suppose -s = -3*r - 22. Which is the closest to -1? (a) r (b) -0.1 (c) -2 b Let s be 6*4/(-6)*-1. Let v be 46/(-10) - (-84 + 79). Which is the nearest to v? (a) -3 (b) s (c) -0.3 c Let y = -68/105 - -1/21. Let z = -7 - -12. Which is the nearest to y? (a) -1 (b) z (c) -1/2 c Let r = -18 + 36. Let h = r - 15. Which is the closest to -2/3? (a) -7 (b) h (c) 1 c Let a(p) = -2*p**2 - 6*p + 2. Let x be a(-3). Suppose -4*g - g + 14 = -4*k, -5 = -5*k - 5*g. What is the nearest to k in 6/11, x, 0.4? 0.4 Let t = 0.3 + -0.5. Let o = -12 - 3. Let f = 16 + o. Which is the closest to f? (a) 2 (b) t (c) 0.2 c Let h = -15 - 0. Let f = -10 - h. Let k be 416/672 + 3/(-9). Which is the nearest to k? (a) -3/5 (b) f (c) 1 c Let r be (1 - 4)*4/6. Let y = -2424 + 2423. Which is the nearest to 2? (a) r (b) 3 (c) y b Let h = -4 + 12. Let n = -11 + h. Let j be 0/(n/(9/6)). What is the nearest to 0 in -0.2, 1/2, j? j Let d be (10/4)/((-114)/(-76)). What is the closest to d in 2/7, -3, 2? 2 Let p = 0.048 - 1.048. Let o = 0.03 + 0.07. Which is the nearest to 2/5? (a) 9 (b) p (c) o c Suppose 7*r - 23 = 5. Let l be (1 + -5)*(-5)/(-50). Let n(g) = g**2 - 4*g - 1. Let k be n(4). What is the nearest to l in 1, r, k? k Suppose 2*k = 538 - 538. Let w = 101/5 - 429/20. Which is the nearest to k? (a) 0.2 (b) -5 (c) w a Let m(n) = n**2 - 6*n - 7. Suppose -2*f - 2*s = -14, 35 = 5*f + 3*s - 8*s. Let d be m(f). What is the nearest to -1 in d, 0.4, 0.3? d Let d = -198 - 75. Let j = 5185/19 + d. Which is the nearest to -0.1? (a) j (b) 1/5 (c) 4/3 a Let m(l) = l**3 + 12*l**2 + 12*l + 8. Let h be m(-11). Let z be 11/15 - (-4)/(-12). Let o be 1 + ((-135)/(-35))/(-3). What is the nearest to z in o, h, 0? 0 Let b = -3 + 1. Let l = -0.091
{ "pile_set_name": "DM Mathematics" }
hird root of 465456528 to the nearest integer? 775 What is the third root of 245329867 to the nearest integer? 626 What is 76333069 to the power of 1/3, to the nearest integer? 424 What is 74477312 to the power of 1/9, to the nearest integer? 7 What is the square root of 271844075 to the nearest integer? 16488 What is 454350356 to the power of 1/2, to the nearest integer? 21315 What is 117882000 to the power of 1/2, to the nearest integer? 10857 What is the third root of 22960426 to the nearest integer? 284 What is the square root of 235120824 to the nearest integer? 15334 What is 7101059 to the power of 1/4, to the nearest integer? 52 What is the third root of 14097878 to the nearest integer? 242 What is 192985979 to the power of 1/2, to the nearest integer? 13892 What is the third root of 154568762 to the nearest integer? 537 What is the third root of 126732216 to the nearest integer? 502 What is the sixth root of 31292700 to the nearest integer? 18 What is the square root of 235885513 to the nearest integer? 15359 What is the cube root of 49989574 to the nearest integer? 368 What is 27713477 to the power of 1/2, to the nearest integer? 5264 What is the cube root of 175472835 to the nearest integer? 560 What is the fourth root of 580971405 to the nearest integer? 155 What is 63267428 to the power of 1/2, to the nearest integer? 7954 What is 88242426 to the power of 1/3, to the nearest integer? 445 What is 1021504 to the power of 1/8, to the nearest integer? 6 What is 864213109 to the power of 1/2, to the nearest integer? 29398 What is the square root of 5765352108 to the nearest integer? 75930 What is 386553329 to the power of 1/3, to the nearest integer? 728 What is the seventh root of 533589440 to the nearest integer? 18 What is the tenth root of 356568680 to the nearest integer? 7 What is the cube root of 82460542 to the nearest integer? 435 What is the seventh root of 234067650 to the nearest integer? 16 What is 122029373 to the power of 1/2, to the nearest integer? 11047 What is 439453381 to the power of 1/2, to the nearest integer? 20963 What is 21069077 to the power of 1/10, to the nearest integer? 5 What is 55634837 to the power of 1/7, to the nearest integer? 13 What is the sixth root of 704475917 to the nearest integer? 30 What is the square root of 979170489 to the nearest integer? 31292 What is the square root of 209025066 to the nearest integer? 14458 What is the square root of 664877811 to the nearest integer? 25785 What is the cube root of 6262616224 to the nearest integer? 1843 What is 3940414338 to the power of 1/8, to the nearest integer? 16 What is the square root of 77722350 to the nearest integer? 8816 What is 582720408 to the power of 1/4, to the nearest integer? 155 What is 7957210 to the power of 1/4, to the nearest integer? 53 What is 2318565639 to the power of 1/5, to the nearest integer? 75 What is 2648710745 to the power of 1/3, to the nearest integer? 1384 What is 2309191548 to the power of 1/9, to the nearest integer? 11 What is the cube root of 42623491 to the nearest integer? 349 What is 1267072744 to the power of 1/4, to the nearest integer? 189 What is 43234157 to the power of 1/3, to the nearest integer? 351 What is the fourth root of 2139448119 to the nearest integer? 215 What is 7228618471 to the power of 1/5, to the nearest integer? 94 What is the square root of 372969707 to the nearest integer? 19312 What is the square root of 1063716069 to the nearest integer? 32615 What is the square root of 97891176 to the nearest integer? 9894 What is 100181980 to the power of 1/2, to the nearest integer? 10009 What is the cube root of 1041979190 to the nearest integer? 1014 What is the cube root of 4227018 to the nearest integer? 162 What is 23904879 to the power of 1/2, to the nearest integer? 4889 What is 612585020 to the power of 1/10, to the nearest integer? 8 What is 56797188 to the power of 1/8, to the nearest integer? 9 What is 1533939144 to the power of 1/8, to the nearest integer? 14 What is 289125411 to the power of 1/3, to the nearest integer? 661 What is 639633508 to the power of 1/7, to the nearest integer? 18 What is 46647549 to the power of 1/2, to the nearest integer? 6830 What is 1318727700 to the power of 1/2, to the nearest integer? 36314 What is 292758363 to the power of 1/2, to the nearest integer? 17110 What is the square root of 37622011 to the nearest integer? 6134 What is the eighth root of 2642116375 to the nearest integer? 15 What is 739860948 to the power of 1/3, to the nearest integer? 904 What is the fifth root of 804878464 to the nearest integer? 60 What is 4226041 to the power of 1/6, to the nearest integer? 13 What is 24279577 to the power of 1/7, to the nearest integer? 11 What is 573264864 to the power of 1/8, to the nearest integer? 12 What is the cube root of 1480212376 to the nearest integer? 1140 What is 176545519 to the power of 1/5, to the nearest integer? 45 What is the ninth root of 58599511 to the nearest integer? 7 What is the fifth root of 1003693312 to the nearest integer? 63 What is 36916667 to the power of 1/2, to the nearest integer? 6076 What is the square root of 71327317 to the nearest integer? 8446 What is the square root of 22845544 to the nearest integer? 4780 What is 29286798 to the power of 1/6, to the nearest integer? 18 What is the cube root of 443542654 to the nearest integer? 763 What is 514459113 to the power of 1/3, to the nearest integer? 801 What is the fourth root of 1174212427 to the nearest integer? 185 What is 181126043 to the power of 1/2, to the nearest integer? 13458 What is the seventh root of 336065411 to the nearest integer? 17 What is 215075651 to the power of 1/3, to the nearest integer? 599 What is the third root of 88090516 to the nearest integer? 445 What is 143756071 to the power of 1/2, to the nearest integer? 11990 What is the cube root of 87558065 to the nearest integer? 444 What is the third root of 3391049746 to the nearest integer? 1502 What is the third root of 105795215 to the nearest integer? 473 What is 86442100 to the power of 1/3, to the nearest integer? 442 What is the cube root of 200192440 to the nearest integer? 585 What is 66750402 to the power of 1/2, to the nearest integer? 8170 What is 14654012 to the power of 1/5, to the nearest integer? 27 What is 184399804 to the power of 1/10, to the nearest integer? 7 What is the square root of 3987647659 to the nearest integer? 63148 What is the cube root of 759745539 to the nearest integer? 912 What is 296462329 to the power of 1/8, to the nearest integer? 11 What is the ninth root of 38827740 to the nearest integer? 7 What is the fifth root of 307716369 to the nearest integer? 50 What is the cube root of 925932114 to the nearest integer? 975 What is the cube root of 36809921 to the nearest integer? 333 What is the square root of 521707277 to the nearest integer? 22841 What is 473759957 to the power of 1/2, to the nearest integer? 21766 What is the cube root of 1833896826 to the nearest integer? 1224 What is the square root of 72620014 to the nearest integer? 8522 What is the third root of 128218098 to the nearest integer? 504 What is the square root of 699521271 to the nearest integer? 26448 What is the tenth root of 95108965 to the nearest integer? 6 What is 851763293 to the power of 1/8, to the nearest integer? 13 What is 356736187 to the power of 1/3, to the nearest integer? 709 What is 91051193 to the power of 1/6, to the nearest integer? 21 What is the third root of 326370181 to the nearest integer? 688 What is 222523857 to the power of 1/2, to the nearest integer? 14917 What is 860568794 to the power of 1/2, to the nearest integer? 29335 What is the cube root of 1292601409 to the nearest integer? 1089 What is the fifth root of 42869248 to the nearest integer? 34 What is 52804043 to the power of 1/10, to the nearest integer? 6 What is the square root of 46692106 to the nearest integer? 6833 What is the cube root of 117504992 to the nearest integer? 490 What is the third root of 17955413 to the nearest integer? 262 What is the square root of 981431240 to the nearest integer? 31328 What is 4190294308 to the power of 1/8, to the nearest integer? 16 What is 42653008 t
{ "pile_set_name": "DM Mathematics" }
mmon factor of 9 and 423? 9 Calculate the greatest common factor of 30 and 110. 10 Calculate the greatest common factor of 66 and 704. 22 What is the highest common divisor of 184 and 161? 23 What is the highest common factor of 1576 and 104? 8 Calculate the highest common divisor of 5 and 35. 5 What is the highest common divisor of 184 and 69? 23 Calculate the highest common factor of 225 and 2535. 15 Calculate the highest common factor of 474 and 12008. 158 What is the greatest common divisor of 49 and 13? 1 Calculate the highest common divisor of 8835 and 2280. 285 What is the highest common divisor of 17004 and 780? 156 What is the greatest common factor of 338 and 78? 26 Calculate the highest common divisor of 17 and 16609. 17 Calculate the greatest common divisor of 133 and 76. 19 Calculate the highest common divisor of 657 and 365. 73 Calculate the greatest common divisor of 68 and 128. 4 Calculate the highest common factor of 77 and 1771. 77 Calculate the highest common divisor of 30 and 330. 30 Calculate the greatest common divisor of 39 and 6357. 39 What is the greatest common divisor of 84 and 448? 28 Calculate the greatest common divisor of 12340 and 40. 20 What is the highest common divisor of 285 and 10? 5 What is the greatest common divisor of 904 and 32? 8 Calculate the highest common factor of 13 and 65. 13 Calculate the highest common factor of 3534 and 76. 38 Calculate the highest common factor of 3350 and 50. 50 What is the greatest common divisor of 7194 and 132? 66 Calculate the highest common divisor of 33 and 231. 33 What is the greatest common divisor of 720 and 64? 16 Calculate the highest common factor of 76 and 114. 38 What is the highest common factor of 121 and 1? 1 What is the highest common factor of 83 and 747? 83 Calculate the highest common divisor of 324 and 378. 54 Calculate the greatest common factor of 56 and 24. 8 Calculate the greatest common divisor of 768 and 1824. 96 What is the greatest common divisor of 407 and 11? 11 Calculate the greatest common factor of 2832 and 624. 48 What is the greatest common factor of 6644 and 453? 151 What is the greatest common factor of 549 and 63? 9 What is the greatest common factor of 6 and 2174? 2 What is the highest common factor of 40 and 1528? 8 Calculate the greatest common divisor of 8 and 36. 4 What is the highest common factor of 1952 and 224? 32 Calculate the highest common factor of 3 and 576. 3 Calculate the greatest common divisor of 645 and 25. 5 What is the greatest common divisor of 15 and 1605? 15 Calculate the highest common factor of 18 and 7284. 6 Calculate the greatest common factor of 1050 and 12. 6 What is the highest common divisor of 31 and 1457? 31 What is the greatest common divisor of 160 and 30? 10 Calculate the highest common factor of 20 and 3170. 10 Calculate the greatest common divisor of 1984 and 31. 31 What is the greatest common factor of 78 and 26? 26 Calculate the highest common divisor of 378 and 12. 6 Calculate the greatest common factor of 544 and 96. 32 What is the highest common factor of 26 and 2600? 26 Calculate the highest common divisor of 213 and 1065. 213 What is the greatest common factor of 120 and 90? 30 What is the greatest common factor of 72 and 1161? 9 Calculate the greatest common divisor of 50 and 30. 10 Calculate the greatest common factor of 4524 and 8352. 348 What is the highest common divisor of 42 and 651? 21 What is the greatest common divisor of 32 and 64? 32 Calculate the greatest common factor of 1269 and 235. 47 What is the highest common divisor of 11074 and 490? 98 Calculate the greatest common divisor of 36 and 444. 12 Calculate the highest common divisor of 144 and 10. 2 Calculate the highest common divisor of 1664 and 130. 26 Calculate the greatest common divisor of 27 and 12. 3 What is the greatest common factor of 343 and 7? 7 Calculate the highest common divisor of 135 and 864. 27 What is the greatest common divisor of 124 and 6386? 62 Calculate the greatest common divisor of 12 and 908. 4 What is the highest common factor of 128 and 24? 8 What is the greatest common factor of 140 and 6580? 140 Calculate the greatest common divisor of 133 and 2641. 19 What is the highest common divisor of 429 and 143? 143 Calculate the highest common factor of 448 and 1036. 28 What is the highest common factor of 16 and 40? 8 What is the highest common factor of 198 and 44? 22 Calculate the greatest common divisor of 207 and 161. 23 What is the highest common divisor of 441 and 63? 63 Calculate the greatest common factor of 185 and 111. 37 What is the highest common divisor of 378 and 10? 2 What is the greatest common factor of 15 and 3165? 15 What is the highest common divisor of 105 and 165? 15 Calculate the highest common divisor of 918 and 17. 17 What is the greatest common divisor of 126 and 162? 18 What is the highest common divisor of 36 and 441? 9 Calculate the highest common factor of 27 and 4266. 27 What is the highest common divisor of 1065 and 255? 15 What is the greatest common factor of 700 and 3640? 140 Calculate the highest common factor of 264 and 13032. 24 What is the greatest common divisor of 540 and 3540? 60 What is the greatest common divisor of 500 and 540? 20 Calculate the greatest common divisor of 162 and 16362. 162 What is the highest common divisor of 416 and 1079? 13 What is the greatest common factor of 2072 and 56? 56 Calculate the greatest common divisor of 300 and 7300. 100 What is the highest common divisor of 2710 and 30? 10 What is the greatest common divisor of 60 and 1470? 30 Calculate the greatest common factor of 144 and 891. 9 What is the greatest common factor of 3515 and 10? 5 What is the highest common divisor of 13328 and 64? 16 What is the highest common factor of 51 and 136? 17 Calculate the highest common divisor of 217 and 63. 7 What is the highest common divisor of 595 and 85? 85 What is the greatest common factor of 9 and 22896? 9 What is the highest common divisor of 132 and 13662? 66 What is the greatest common divisor of 400 and 416? 16 Calculate the greatest common divisor of 781 and 1. 1 What is the greatest common divisor of 3 and 57? 3 Calculate the highest common divisor of 63 and 567. 63 Calculate the greatest common factor of 27 and 27. 27 What is the greatest common factor of 159 and 583? 53 Calculate the greatest common factor of 26 and 5109. 13 Calculate the highest common factor of 48 and 6828. 12 What is the highest common divisor of 10927 and 669? 223 What is the highest common divisor of 616 and 112? 56 What is the highest common factor of 352 and 32? 32 Calculate the greatest common factor of 189 and 1575. 63 Calculate the greatest common divisor of 360 and 1944. 72 What is the greatest common factor of 4689 and 9? 9 What is the greatest common divisor of 292 and 6497? 73 Calculate the highest common divisor of 1232 and 4048. 176 What is the greatest common divisor of 45 and 615? 15 What is the highest common divisor of 346 and 2595? 173 Calculate the greatest common factor of 7848 and 648. 72 Calculate the highest common divisor of 9 and 18. 9 Calculate the greatest common factor of 4251 and 507. 39 Calculate the greatest common divisor of 22 and 6611. 11 What is the greatest common divisor of 533 and 26? 13 Calculate the greatest common divisor of 18 and 1143. 9 Calculate the highest common factor of 60 and 324. 12 Calculate the greatest common factor of 3 and 57. 3 What is the highest common factor of 820 and 20? 20 What is the greatest common divisor of 1100 and 88? 44 Calculate the highest common divisor of 801 and 1. 1 What is the greatest common divisor of 256 and 576? 64 Calculate the highest common factor of 272 and 944. 16 Calculate the highest common factor of 60 and 228. 12 Calculate the highest common factor of 512 and 320. 64 What is the highest common factor of 754 and 29? 29 Calculate the highest common factor of 145 and 29. 29 Calculate the greatest common factor of 224 and 280. 56 What is the highest common divisor of 29 and 29? 29 What is the greatest common factor of 325 and 350? 25 What is the highest common divisor of 168 and 4179? 21 Calculate the greatest common factor of 48 and 116. 4 What is the highest common
{ "pile_set_name": "DM Mathematics" }
*r**2/11 - 492*r/11 = 0. -41, 0, 2/169, 3 What is p in p**3/2 - 36890*p**2 + 1365508333*p/2 - 85442359527 = 0? 126, 36827 Factor s**2/6 - 38501*s/2 - 288770/3. (s - 115508)*(s + 5)/6 Suppose -2523*t**5 - 5394*t**4 + 47229*t**3 + 57048*t**2 + 7188*t + 240 = 0. What is t? -5, -1, -2/29, 4 Find s such that 3*s**5 - 4074*s**4 + 1282458*s**3 + 67951464*s**2 + 1117143627*s + 5998708842 = 0. -17, -14, 703 Factor 20*r**4 + 16877340*r**3 + 3560490058445*r**2 - 28484730585000*r + 56970001250000. 5*(r - 4)**2*(2*r + 843875)**2 Factor -5*j**4/4 - 632085*j**3/4 - 1264155*j**2/4 - 632075*j/4. -5*j*(j + 1)**2*(j + 126415)/4 Solve -5*a**2 + 48631650*a - 118251869086125 = 0 for a. 4863165 Find l, given that 25*l**2 + 25194340*l - 10077740 = 0. -1007774, 2/5 Suppose o**3/5 - 10889*o**2/5 - 196294*o/5 - 349024/5 = 0. What is o? -16, -2, 10907 Let -4*m**2 - 9256284*m + 9256288 = 0. What is m? -2314072, 1 Factor 2*b**3/9 + 74*b**2 - 20624*b/9 - 49096/3. 2*(b - 34)*(b + 6)*(b + 361)/9 Factor -2*u**2/9 + 67484*u/9 - 4516720/3. -2*(u - 33540)*(u - 202)/9 Suppose -3*i**3/2 + 2942709*i**2 - 11770827*i/2 + 2942706 = 0. Calculate i. 1, 1961804 Factor t**2/3 - 27394*t/3 - 10019555/3. (t - 27755)*(t + 361)/3 Suppose u**3 + 60862*u**2 + 486844*u + 730248 = 0. What is u? -60854, -6, -2 Factor 2*d**4/7 - 97750*d**3/7 - 1466550*d**2/7 - 7333250*d/7 - 12222500/7. 2*(d - 48890)*(d + 5)**3/7 Let 2*n**2/19 + 2438*n/19 - 37020/19 = 0. Calculate n. -1234, 15 Determine t, given that -924800000*t**4 + 9247864000*t**3 - 8321840005*t**2 - 1223950*t - 45 = 0. -1/13600, 1, 9 Determine n, given that 4*n**3 + 163464*n**2 + 17607456*n = 0. -40758, -108, 0 Determine f, given that 4*f**5 - 8467360*f**4 + 5974642599264*f**3 - 1405216022765152896*f**2 - 19674195371896185792*f = 0. -14, 0, 705618 Factor -3*y**2/5 - 654965712*y/5 - 35748340324638912/5. -3*(y + 109160952)**2/5 Determine b so that b**4/10 + 2911*b**3/10 + 207361*b**2/5 + 157754*b - 2418636/5 = 0. -2761, -146, -6, 2 Factor f**2 - 1096*f - 263697. (f - 1299)*(f + 203) Suppose 21*k**5 + 235206*k**4 - 4173603*k**3 - 5687640*k**2 - 1278852*k = 0. What is k? -11218, -1, -2/7, 0, 19 Let -2*q**4/3 + 85762*q**3/3 + 1287146*q**2/3 - 11410042*q/3 - 4203808 = 0. What is q? -21, -1, 7, 42896 Solve b**4/2 + 36*b**3 - 2485*b**2/2 - 38028*b + 80730 = 0 for b. -90, -23, 2, 39 Solve -6*h**2 + 296050*h + 98684 = 0. -1/3, 49342 Determine o, given that -2*o**4/3 + 8572*o**3 - 1073016*o**2 + 44967888*o - 628858944 = 0. 42, 12732 Factor 3*z**2 - 53145*z - 7067412. 3*(z - 17847)*(z + 132) Determine y so that -2*y**2/9 - 24407528*y/9 - 74465927883848/9 = 0. -6101882 Find v, given that 402*v**2/7 - 125487*v/7 + 2808 = 0. 21/134, 312 Solve -3*j**4 + 918*j**3 + 157263*j**2 - 968922*j + 1301496 = 0 for j. -127, 2, 4, 427 Determine u, given that -4*u**5 + 116894*u**4 + 409162*u**3 + 467626*u**2 + 175362*u = 0. -3/2, -1, 0, 29227 Solve -12005*r**5/3 + 37849805*r**4/3 - 29887170575*r**3/3 + 28153138205*r**2 + 4795623000*r + 198450000 = 0. -4/49, 3, 1575 Determine i so that 5*i**2 - 197650*i - 1779255 = 0. -9, 39539 Factor -4*s**2 + 58266168*s - 58266164. -4*(s - 14566541)*(s - 1) Find s such that -s**3/5 - 1799700*s**2 - 20243367542493*s/5 - 526321473136394/5 = 0. -4499237, -26 What is q in q**4 - 527*q**3 + 41876*q**2 - 69100*q - 980400 = 0? -4, 6, 95, 430 Let -k**4/7 + 722*k**3/7 + 47563*k**2/7 - 830180*k + 16524900 = 0. What is k? -122, 35, 774 Find n such that -4*n**3 + 50432*n**2 + 17076844*n + 17026408 = 0. -329, -1, 12938 Find f, given that 63525*f**5/2 - 1364715*f**4 - 3150168*f**3 + 10973565*f**2 - 2336229*f/2 + 31590 = 0. -4, 3/55, 13/7, 45 Determine v so that 5*v**2/2 - 13910*v - 103187025/2 = 0. -2545, 8109 Solve 280*h**3 - 1215*h**2 + 1500*h - 380 = 0 for h. 19/56, 2 Find n such that -3*n**3/8 + 79785*n**2/8 - 12844557*n/4 - 6462174 = 0. -2, 328, 26269 Suppose -3*p**2 + 381061443*p + 381061446 = 0. Calculate p. -1, 127020482 Suppose -2*y**2/11 - 20346776*y - 569238028691992 = 0. Calculate y. -55953634 What is v in 2*v**2 + 108787660*v + 1479344371034450 = 0? -27196915 What is x in 4*x**5 - 6932*x**4 + 3292108*x**3 - 252238796*x**2 + 6918230176*x - 64102416560 = 0? 26, 35, 823 Let -k**5 - 361*k**4 + 70730*k**3 - 674844*k**2 + 777672*k + 4826304 = 0. What is k? -504, -2, 6, 133 Solve -1130*v**3 - 63125*v**2 + 8680*v = 0 for v. -56, 0, 31/226 Solve 4*f**5 + 119016*f**4 + 896847240*f**3 + 171193194400*f**2 - 348666700044*f - 518963166216 = 0. -14779, -198, -1, 3 Determine c so that -35*c**5 + 3210*c**4 - 13325*c**3 - 90450*c**2 + 72760*c + 27840 = 0. -4, -2/7, 1, 8, 87 Suppose -5*r**4 - 342695*r**3 - 7760058075*r**2 - 56444990177125*r + 36470893352052500 = 0. What is r? -23045, 596 Solve -2*p**4 - 751030*p**3 - 12016046*p**2 - 29288922*p = 0. -375499, -13, -3, 0 Suppose 4592*s**4 - 3710332*s**3 - 14918048*s**2 - 12992*s = 0. What is s? -4, -1/1148, 0, 812 Determine g so that 32*g**5 + 205642*g**4/9 - 68058*g**3 - 16252*g**2 = 0. -717, -2/9, 0, 51/16 Factor 2*m**3/13 + 696888*m**2/13 - 107214*m + 696892/13. 2*(m - 1)**2*(m + 348446)/13 Factor 5*i**3 + 2567095*i**2 + 2567080*i - 5134180. 5*(i - 1)*(i + 2)*(i + 513418) What is u in 2*u**4 - 5162*u**3 + 3864708*u**2 - 657535320*u - 1330570800 = 0? -2, 243, 1170 What is o in -48734420*o**5 + 245014560*o**4 - 396596905*o**3 + 205723585*o**2 - 5443800*o + 36980 = 0? 43/3122, 1, 2 Suppose 4*v**2 - 19482428*v - 38964872 = 0. What is v? -2, 4870609 What is y in -10*y**3 - 8004*y**2 - 6219072*y/5 + 752296896/5 = 0? -2196/5, 78 Factor -2*n**3/15 + 1608992*n**2/15 - 64720737800*n/3 - 258888100000/3. -2*(n - 402250)**2*(n + 4)/15 Factor 4311*l**2 + 12963*l + 90. 3*(l + 3)*(1437*l + 10) Let -6*y**3 + 21057*y**2 - 31545*y - 94716 = 0. Calculate y. -3/2, 3, 3508 Suppose 2*p**2/17 + 22337800*p/17 + 62372163605000/17 = 0. Calculate p. -5584450 Factor a**2 + 9444752*a + 22300835085376. (a + 4722376)**2 Solve 4*p**4 + 36376*p**3 - 6452644*p**2 - 19612504*p - 13123488 = 0 for p. -9268, -2, -1, 177 Factor -2*g**2 - 30134*g - 661980. -2*(g + 22)*(g + 15045) Determine t so that 2*t**4/13 + 519488*t**3 + 5700950144444*t**2/13 - 877070811456*t + 5700963651138/13 = 0. -1688337, 1 Factor y**2/3 + 5644*y + 421425. (y + 75)*(y + 16857)/3 Factor -2*m**3 + 625304*m**2 + 47531768*m + 903158464. -2*(m - 312728)*(m + 38)**2 Suppose u**4/3 - 74512*u**3/3 - 24843*u**2 + 1192192*u/3 + 1192208/3 = 0. Calculate u. -4, -1, 4, 74513 Find g such that 5*g**4 - 9855*g**3 + 253395*g**2 - 1060445*g + 816900 = 0. 1, 4, 21, 1945 Factor -d**2/4 + 258980135*d/2 - 67070710324618225/4. -(d - 258980135)**2/4 Factor t**2 - 2623723*t. t*(t - 2623723) Find r, given that -47*r**5/3 + 26458*r**4/3 + 299906*r**3 - 1817932*r**2/3 + 831113*r/3 + 20230 = 0. -34, -3/47, 1, 595 Determine z so that -2*z**3/9 + 51706*z**2/9 - 22163624*z/9 = 0. 0, 436, 25417 Suppose -2*o**4 - 1830336*o**3 - 418790027562*o**2 - 10887391295764*o - 20099637123936 = 0. What is o? -457571, -24, -2 Suppose -b**5 + 1686*b**4 - 688063*b**3 - 3469026*b**2 - 5565316*b - 2786040 = 0. Calculate b. -2, -1, 710, 981 Find o such that -60*o**5 - 26785*o**4 + 1512800*o**3 + 2190075*o**2 + 392110*o - 258440 = 0. -497, -1, -2/3, 1/4, 52 Suppose -4*y**4 + 13146592*y**3 - 39439740*y**2 - 16*y + 52586320 = 0. What is y? -1, 2, 3286645 Factor m**2 - 131378*m + 788232. (m - 131372)*(m - 6) Factor 4*v**3 + 230184*v**2 + 3304625796*v - 199107074160. 4*(v - 60)*(v + 28803)**2 Determine v, given that 2*v**4/7 - 678626*v**3 + 57004386*v**2/7 - 30538030*v + 237517900/7 = 0. 2, 5, 2375179 What is x in 1600*x**4/7 + 9542880*x**3/7 + 12401476*x**2/7 - 9328248*x/7 - 12617708/7 = 0? -5963, -23/20, 1 Let -2*n**4/11 + 18306*n**3/11 + 3438134*n**2/11 + 158072286*n/11 - 161528724/11 = 0. Calculate n. -93, 1, 9338 Factor g**4/3 - 1821*g**3 + 3719668*g**2 - 10104054992*g/3 + 1140888527552. (g - 1587)*(g - 1292)**3/3 Determine y, given that 35*y**5 + 1448375*y**4 + 14981421725*y**3 - 57802067275*y**2 + 51384857600*y + 8564004980 = 0. -20693, -1/7, 2 Find w, given that w**4/4 - 702*w**3 - 169339*w**2/4 + 266631*w/2 = 0. -62, 0, 3, 2867 Solve 4*b**4 - 18942964*b**3 + 22427271233508*b**2 - 67281681099836*b + 44854428809288 = 0 for b. 1, 2, 2367869 What is s in 32*s**5/5 - 8622*s**4/5 + 569124*s**3/5 + 327434*s**2 - 8138784*s/5 -
{ "pile_set_name": "DM Mathematics" }
c*j(g) + 5*p(g). Calculate u(6). -7 Let l = -50 - -70. Let z = 21 - l. Let x(f) be the third derivative of -7*f**5/60 - f**4/24 + f**3/6 + 4*f**2. Determine x(z). -7 Let g(k) = 3*k**3 - 2*k**2 - 4. Let x be g(2). Let j(y) = y + x + 0*y - 1 - 2*y. What is j(9)? 2 Let l be -4*(14/(-4) + 3). Suppose 2*b + 3*y = 19, l*b - 2*y - 7 = -y. Let u(z) = -3*z + 6. Calculate u(b). -9 Let f(t) = -3*t**2 + 16*t - 24. Let k(c) = -4*c**2 + 23*c - 36. Let a(z) = -7*f(z) + 5*k(z). Calculate a(-7). 16 Suppose 19 = -t - 4*i, 5*t + 43 = t - 5*i. Let w be (t/((-21)/(-2)))/((-2)/9). Let x(c) = c**2 - 2*c + 1. Calculate x(w). 4 Let k(p) = 125*p + 16 - 4 + 134*p - 258*p. Determine k(-10). 2 Let j(p) = -6*p - 7. Let s(o) = -4*o - 2. Let h(x) = 3*j(x) - 5*s(x). Give h(13). 15 Let i(y) = -y**2 + 8*y - 4. Suppose -5*h - 49 = 146. Let p = 45 + h. Give i(p). 8 Let i(a) = -2*a**2 - 3*a. Let z(r) = -5*r**2 - 7*r. Let f(v) = -7*i(v) + 3*z(v). Let q(l) = 13*l**2 + 1. Let o(y) = 3*f(y) + q(y). Determine o(1). 11 Let o(u) = -u**3 - 6*u**2 - 5*u - 7. Suppose -7*t = -3*t + 2*f + 14, -3*f - 1 = 2*t. Determine o(t). -7 Let f(q) be the first derivative of 2*q + 6 + 1/2*q**2. Suppose 0*o - 17 = 4*o - a, 0 = -4*o - 5*a - 35. Determine f(o). -3 Let u(y) = -37 + 12 - y + 13. Calculate u(-5). -7 Let b(m) be the second derivative of 5*m**3/6 - 11*m**2/2 + 366*m. Give b(6). 19 Let b(u) be the first derivative of -u**5/120 + 2*u**4/3 - 17*u**3/3 - 16. Let a(g) be the third derivative of b(g). What is a(0)? 16 Let z(g) = g**2 + 24*g - 31. Let h be z(-25). Let s(o) = o**2 + 10*o + 10. Determine s(h). -14 Suppose -10*b = -18*b + 88. Let s(d) = -11*d + b*d + 16 + d. Calculate s(0). 16 Let q(s) = -4*s**3 + 11*s**2 - 11*s - 6. Let y(b) = b**3 + 1. Let h(a) = q(a) + 5*y(a). What is h(-12)? -13 Let y(i) = 4*i + 10. Let h(p) = -5*p - 12. Let w(f) = 3*h(f) + 4*y(f). Let l(m) = m - 3. Let s be l(8). Calculate w(s). 9 Let i(d) = 5*d**3 - 1. Let h(p) = p**3 - 4*p**2 - 5*p + 1. Let k be h(5). Let u be i(k). Suppose -3*b = -19 + u. Let n(w) = -w - 1. Determine n(b). -6 Let h(r) = 7*r - 2. Let o(i) = -i + 1. Let u(v) = -v + 15. Let q be u(9). Let l(s) = q*o(s) + h(s). Determine l(-4). 0 Let i(v) be the second derivative of -v**7/840 + v**6/360 + v**5/120 + 5*v**4/12 - 14*v**3/3 - 33*v. Let t(z) be the second derivative of i(z). Give t(0). 10 Let w(g) = g**3 + 4*g**2 + 5*g + 3. Let b(l) = l**3 + 18*l**2 - 18*l + 22. Let a be b(-19). Let i be ((-3)/5)/(a/15). Calculate w(i). -3 Suppose -2 = 5*d - 27, 0 = -r + 4*d - 28. Let s(p) = p**2 + 7*p - 5. Determine s(r). 3 Let w(a) = -a + 3*a - 7 + 7*a**2 - a**3 - 8*a. Suppose 0 = 9*x + n - 58, -4*x = -8*x + 5*n + 4. Calculate w(x). -7 Let d(m) = 39 + 837*m - m**2 - 36 - 835*m. Calculate d(3). 0 Let f(c) = -c - 4. Let m be 38/95 + ((-12)/(-10))/2. Let w be -2 + m + (-6)/(1 - -2). Calculate f(w). -1 Let r = -85 - -88. Suppose 2*c + 3 = 5. Let v be -1 - (c + (r - 6)). Let o(a) = 5*a**3 + 2*a**2 - 2*a + 1. Determine o(v). 6 Let m be (561/(-34))/((-6)/4). Let l(g) = g - 16. Calculate l(m). -5 Let c(n) = -5*n**2 - 16*n - 16. Let o(l) = -l**2 - 3*l - 3. Let z(v) = -2*c(v) + 11*o(v). Suppose a - 3*k + 10 = 0, 2*k = -a + 5*a. What is z(a)? -7 Let r(g) = -g**3 - 10*g**2 + 11*g - 3. Let f = -1528 - -1517. Give r(f). -3 Let g(h) = 3*h + 1. Let u be g(-2). Let y(f) = -67*f**2 - 63*f**2 + 129*f**2 + 1 - 5*f. Give y(u). 1 Suppose i + 93 = g, 0*g + 3*g = -9. Let k = i - -99. Let a(z) = -2*z**2 + 3*z**2 + z - z**3 + z**2. What is a(k)? -6 Let t(z) be the first derivative of -3*z**2 - 4*z + 89. Determine t(-3). 14 Let i(g) = -8*g - 2 - 4*g + 18*g - 7*g. Determine i(-5). 3 Let n(z) be the third derivative of z**5/60 - 5*z**4/24 + z**2. Let i(y) = 6*y - 13. Suppose 87*l - 81*l = 18. Let q be i(l). What is n(q)? 0 Let s(h) = -10*h - 182. Let m be s(-18). Let w(p) be the second derivative of p**4/6 + p**3/3 + 3*p**2/2 - 9*p. What is w(m)? 7 Suppose -2*g = -4*p + 2, 5*p + 8 = 3*g + 13. Let n(t) be the second derivative of t**5/20 + t**4/3 - t**2/2 - t. Calculate n(p). 7 Let d(x) be the first derivative of -x**3/3 + 11*x**2/2 - 10*x + 103. Calculate d(8). 14 Let v(h) = h**2 - 6*h + 8. Suppose -52*c - 161 = -75*c. Calculate v(c). 15 Let i(a) = a**3 - 4. Suppose 0 = -5*q - o + 8, -3*o = 2*q + 2. Let h(d) = -d**q - 5 + 1 - 6*d + 2*d + 0*d. Let k be h(-2). Give i(k). -4 Suppose 13*z + 15 = 8*z. Suppose 0 = -4*k + 7 + 9. Let w(q) = 2*q**2 + 3*q + 2. Let y(i) = 3*i**2 + 2*i + 3. Let v(j) = k*w(j) + z*y(j). Calculate v(3). 8 Let x(r) = r + 8. Let t(l) = -3*l - 36. Let d be t(-12). Suppose -5*w + 0*w - 35 = d. Give x(w). 1 Let t(i) = 5*i + 6. Let b(r) = r + 12. Let j be b(-10). Suppose 5*c = -l + 9, 4*l - 3 = j*l - 5*c. Let d be (l/5)/(6/20). Calculate t(d). -14 Let r = 1 - 1. Let o = 121 - 121. Let g(p) = 15*p**3 + o*p + 4*p + 2 - 14*p**3 - 3*p - p**2. What is g(r)? 2 Let z(x) = -x**3 - 7*x**2 + 8*x - 6. Suppose 0 = -b - 0*b + 10. Suppose -b = 2*w + 6. Give z(w). -6 Let b(s) = 5*s**2 + 2*s - 1. Let d be ((-78)/(-104))/(2/200). Let i = -74 + d. Calculate b(i). 6 Let v(i) = i**3 + 8*i**2 + 5*i + 8. Let o = 194 - 201. Determine v(o). 22 Suppose -5*f + 3*f + 60 = 0. Let l = f + -35. Let w(z) = -4*z - 5. Let a(i) = -7*i - 9. Let j(t) = -3*a(t) + 5*w(t). Give j(l). -3 Suppose -2*q = -5*q + 42. Suppose -11*f = 8 + q. Let o(n) = -3 + 4*n**2 + 0 + 4*n + 5. What is o(f)? 10 Suppose -2*l = -3*j + l, 4*l = 20. Let r(i) = 2*i**3 - i**3 - 4*i - 4*i**2 + 0*i - 7. Determine r(j). -2 Let v(w) = 10*w + 21. Let m(k) = 18*k + 37. Let n(b) = -4*m(b) + 7*v(b). Give n(2). -5 Let j(t) = t**2 + 20*t - 64. Let q be j(-23). Let a(s) be the third derivative of 0 + 6*s**2 + 0*s - 1/60*s**q + 0*s**3 - 1/8*s**4. Calculate a(-5). -10 Let o(i) = -i**2 - i - 4. Suppose -7*r + 36 = -4*r. Suppose -d - 4*v = r, v = 4*d - 0*v - 3. Suppose d = 2*u + 5*t + 15, u - 5*t = -0*u + 15. Determine o(u). -4 Let o(s) = 2*s + s**3 - 119 - 3*s - 6*s**2 + 127. Let k(r) = 5*r**3 + r**2 - r + 1. Let g be k(1). Determine o(g). 2 Suppose -26*y = -32*y - 54. Let n(j) = j + 6. Calculate n(y). -3 Let x = 23 + -51. Let b = -25 - x. Let q(a) = a**2 - 2*a**2 + 0*a + 4*a. Determine q(b). 3 Let g(q) = 486 - 493 + 3*q**2 + 0*q**2 - 6*q - 2*q**2. Determine g(6). -7 Suppose 0 = -17*k + 22*k - 195. Let t(g) = -37 + 74 - k + 2*g**3 - g + 2*g**2. Let o(u) = -u - 4. Let s be o(-2). Determine t(s). -8 Let p = -357 - -361. Let b(u) be the second derivative of -3*u**2 - 1/20*u**5 + 0 + 2*u + 0*u**3 + 0*u**p. Give b(0). -6 Let w(x) = 24*x**3 - x**2 - 25*x - 14. Let r(t) = -11*t**3 + t**2 + 12*t + 7. Let i(a) = -13*r(a) - 6*w(a). Let c = 11 - 17. What is i(c)? -7 Let c(s) = -s - 5. Let z = 502 - 494. Give c(z). -13 Let n = -423 + 420. Let l(w) = w**3 + 4*w**2 + 4*w + 1. Calculate l(n). -2 Let s(i) = -5*i - 1. Let c be (8/6)/(-4 + (-70)/(-15)). Suppose c - 17 = 5*k. Give s(k). 14 Let r(b) = -13 + b + 39*b**2 + 13 - 52*b**2. Give r(-1). -14 Let w(s) = -s**2 - 9*s + 4. Suppose 5*r = -3*a - 61 + 12, 31 = -3*r - a. What is w(r)? -18 Let u = -65 - -32. Let g = -30 - u. Let f(z) = -3*z**3 + z**2 - 4*z - 4. Let x(l) = -13*l**3 + 3*l**2 - 17*l - 16. Let t(r) = 9*f(r) - 2*x(r). Calculate t(g). -10 Let i(z) be the first derivative of -z**4/4 + 3*z**3 + 3*z**2 - 7*z - 66. Determine i(9). 47 Let w(a) = -a**2 - 10*a + 29. Let o be w(-12). Suppose 8 = -l + 2*r, -l + o*r - 33 = -5*l. Let i(t) = -7*t + 3. Calculate i(l). -11 Let y(r) = r**3 + 6*r**2 + 5. Let v be y(-5). Let d = v - 36. Let u(o) = -3*o - 7. Calculate u(d). 11 Let x(w) = w**2 - 2*w + 2. Suppose 0 = 2*f + 2*c - 38, -5*f + 24 + 75 = c. Let g be (-2 + 48/f)*-5. Let s be 19/5 + g/(-10). What is x(s)? 10 Let z(u) be the second derivative of u**7/840 - u**6/90 - u**5/60 + 5*u**4/24 - 13*u**3/6 - 6*u. Let p(d) be the second derivative of z(d). Give p(4). -3 Let u(v) = 5*v**2 - 3*v**2 - 5*v + 18*v**3 - 17*v**3 + 10 - 7. What is u(-4)? -9 Let k(n) = n**2 - 8*n + 2. Let i be k(7). Let v be (-92)/(-8) - i/(-10). Let l(d) = v*d + 2*d**2 - d**2 - 18*d + 5. Determine l(6). -1 Let i(r) be the third derivative of r**5/60 - r**4/24 - r**3/6 + r**2. Let d(n) = -4 + 16 + 0*n - 2*n + 3*n. Let s be d(-9). What is i(s)? 5 Let s(j) = -j**2 - 3*j - 1. Let x be s(-5). Let n(d) = d + 2. Let b be n(x). Let v = b - -13. Let y(w) = w**2 - 3*w - 5. Ca
{ "pile_set_name": "DM Mathematics" }
u) = 2*u**2 - 1367*u. Let n(c) = c**3 - 9*c**2 + 5469*c. What is -9*k(f) - 2*n(f)? -2*f**3 + 1365*f Let f(i) = -i**2 - 5*i - 5. Let g be ((-3)/12*-178)/(8/2192). Let u(b) = -2 + 12192*b - g*b + 1. Calculate -6*f(x) + 30*u(x). 6*x**2 Let c(w) = -35*w**3 + 9*w**2 - 2*w - 40. Let k(s) = -33*s**3 + 8*s**2 - 36. Calculate 8*c(z) - 9*k(z). 17*z**3 - 16*z + 4 Let h(g) = -82*g**3 + 25*g. Let y(c) = 1308*c**3 - 399*c. Let n(k) = 33*h(k) + 2*y(k). Let b(l) = 13*l**3 - 4*l. Determine 27*b(v) + 4*n(v). -9*v**3 Let l(d) = d + 215. Let u(g) = 5*g + 856. What is 9*l(a) - 2*u(a)? -a + 223 Let l(p) = -4*p**3 + 18*p**2 + 2*p + 3. Suppose -81 = 275*c - 302*c. Let q(d) = -3*d**3 + 17*d**2 + d + 2. Determine c*q(b) - 2*l(b). -b**3 + 15*b**2 - b Let j(m) = -5*m. Let u(b) = -b**2 + 4*b + 11. Suppose -f + 5 = 8*i - 3*i, 3*i = 0. Let y be u(f). Let o(h) = -h. What is y*j(k) - 34*o(k)? 4*k Let p be ((-2)/(-12))/(5/30). Let u(v) = -v**3 - 1. Let d(w) be the first derivative of -w**4/2 + 2*w - 1481. Calculate p*u(q) + d(q). -3*q**3 + 1 Let k(l) = 731*l + 157. Let n(p) = -3658*p - 836. What is -16*k(h) - 3*n(h)? -722*h - 4 Let r(v) = 178*v + 1. Let o(n) = 91*n + 1. Give -11*o(a) + 6*r(a). 67*a - 5 Let t(b) = -19*b**3 + 5*b**2 - 28*b - 4. Let l(i) = 172*i**3 - 47*i**2 + 251*i + 38. Determine -2*l(v) - 19*t(v). 17*v**3 - v**2 + 30*v Let l(j) be the first derivative of -17*j**2/2 - 8*j + 82. Let g(i) = i - 1. Let p(r) = 6*g(r) + l(r). Let o(y) = -7*y - 9. Give -8*o(a) + 5*p(a). a + 2 Let s(i) = -9*i + 7. Let r(m) be the second derivative of -5*m**3/6 + 3*m**2/2 - 2016*m. What is 11*r(n) - 6*s(n)? -n - 9 Let t(i) be the first derivative of -7*i**4/4 - 5*i**3/3 + i**2 + 4*i - 757. Let s(m) = -7*m**3 - 4*m**2 + 2*m + 3. Give 5*s(v) - 4*t(v). -7*v**3 + 2*v - 1 Let b(f) = -7*f - 7. Let w(p) be the third derivative of 5*p**4/12 + 5*p**3/3 + 11*p**2. Suppose -13*n = 8 + 57. Suppose -4*c - 20 = 8. Give c*b(q) + n*w(q). -q - 1 Let z(k) be the first derivative of -3*k**2 + 3*k + 542. Let x(h) = 13*h - 5. Suppose 5*b = -3*l + 3, -b - 1 = -4*b - 2*l. What is b*x(r) + 5*z(r)? 9*r Let x(q) = -970*q - 1. Let d(k) = -2917*k - 3. Calculate 2*d(g) - 7*x(g). 956*g + 1 Let q(g) = -43 - 36 - 69*g + 112 - 4*g**3 + 7*g**3 + 14*g**2 - 44. Let p(c) = -c**3 - 5*c**2 + 23*c + 4. Give -11*p(k) - 4*q(k). -k**3 - k**2 + 23*k Let m(k) = 15*k - 7. Let x(q) = -247*q - 6 + 77*q + 95*q + 91*q. Give 6*m(w) - 7*x(w). -22*w Let a(v) = 22 + 5*v - 3*v - 22. Let i be 2/(-15) - (-352)/165 - 2. Suppose -2*k - 5 = -l, 2*l + i*k - 16 = -2*k. Let w(q) = q. Give l*w(z) - 5*a(z). -3*z Let g(p) be the third derivative of p**6/20 - 7*p**5/60 - 5*p**4/24 - 7*p**3/6 - p**2 - 2*p. Let n(u) = 3*u**3 - 3*u**2 - 2*u - 3. Give 2*g(q) - 5*n(q). -3*q**3 + q**2 + 1 Let z(h) = 223*h**3 - 12*h**2 - 16*h + 52. Let i(g) = 223*g**3 - 15*g**2 - 15*g + 65. What is 4*i(a) - 5*z(a)? -223*a**3 + 20*a Let s be 41/((-1804)/(-8)) + 119/11. Let z(t) = -5*t**3 + 6*t**2. Let x(d) = 25*d**3 - 31*d**2. Give s*z(i) + 2*x(i). -5*i**3 + 4*i**2 Let m = 335 + -332. Let p(h) = h - 51*h**3 - 48*h**3 - 44*h**m - 1 + 144*h**3. Let a(o) = 18*o**3 + 12*o - 12. Determine a(n) - 12*p(n). 6*n**3 Let q(d) = -2*d**3 + 7*d**2 + d - 43. Let k(j) = 10*j**3 - 35*j**2 - 6*j + 215. What is 2*k(p) + 11*q(p)? -2*p**3 + 7*p**2 - p - 43 Let q(o) = -54*o**3 - 15*o**2 - 2*o - 5. Let b(n) = 107*n**3 + 24*n**2 + 5*n + 13. Determine 2*b(c) + 5*q(c). -56*c**3 - 27*c**2 + 1 Let z(c) = -c**2 + 2*c - 2. Suppose -5*v - 70 = -5*k, 14 = v + 237*k - 234*k. Let a(w) = 3*w - 8 - 2*w**2 + 0*w + 4. What is v*z(g) + 4*a(g)? -g**2 - 2*g - 2 Let j(c) = -12*c + 2. Let n(m) = -m. Let w = -809 + 787. What is w*n(u) + 2*j(u)? -2*u + 4 Let r(u) = -3*u - 10*u**2 - 2*u - 19 + 10*u**2 + 23 + 5*u**2. Let h(j) = 7*j - 1 + 2*j - 7 - 12*j**2 + 3*j**2. Give 6*h(x) + 11*r(x). x**2 - x - 4 Let y(p) = 13*p**3 - 2*p - 545. Let o(s) = 72*s**3 - s**2 - 10*s - 2724. Give 2*o(k) - 11*y(k). k**3 - 2*k**2 + 2*k + 547 Suppose 120*l = 98 + 382. Let t(b) = -6*b**3 - 6*b**2 + 14. Let r(s) = -2*s**3 - 2*s**2 + 5. What is l*t(g) - 11*r(g)? -2*g**3 - 2*g**2 + 1 Let w(a) = -4 + 8*a**2 - 1 + a**2 + 36*a - 11*a**2 + 6*a**2 - 31*a. Let n(d) = 4 + 3 - 6 - d. Calculate -5*n(t) - w(t). -4*t**2 Let k(o) = -2456208*o + 27660. Let y(j) = 1865*j - 21. What is -7*k(d) - 9220*y(d)? -1844*d Let f(m) = m - 6. Let o(a) = a**3 - 12351*a - 18. Calculate 3*f(h) - o(h). -h**3 + 12354*h Let k(b) = 2*b**2 + 1. Let c(s) = 756*s**3 + 24*s**2 + 12. What is c(u) - 12*k(u)? 756*u**3 Let h(w) = -4*w - 2466. Let o(s) = 2*s + 1237. Determine -6*h(q) - 13*o(q). -2*q - 1285 Suppose -d = 5*g + 1240, 0 = d + 9 - 4. Let h = g - -250. Let o(a) = 6*a - 2. Let t(r) = 13*r - 5. Determine h*t(c) - 7*o(c). -3*c - 1 Let k(c) = 109*c + 36. Let f(b) = -109*b - 43. Give -6*f(d) - 7*k(d). -109*d + 6 Let i(c) = -2063*c**3 + 2. Let h(b) = -10587321*b**3 + 10265. What is 2*h(s) - 10265*i(s)? 2053*s**3 Let x(u) = -79*u**2 + 24*u - 19. Let s(f) = -5*f**2 - f + 5. Calculate -4*s(i) - x(i). 99*i**2 - 20*i - 1 Let y(m) = -64*m**2 + m - 5. Let n(c) = -158*c**2 + c - 12. Give -2*n(a) + 5*y(a). -4*a**2 + 3*a - 1 Suppose 2*v - 4*b + 30 = 0, v + 5*b - 27 = -7. Let p(f) = 4*f - 2. Let k(x) = x - 1. Let s be 4/(-3 + 15)*3. Calculate s*p(q) + v*k(q). -q + 3 Let z(v) = 4*v - 38 + 66 + v**2 - 30. Let p be (0 - 1)/(3*(-3)/(-27)). Let h(f) be the first derivative of f**3/3 + 3*f**2/2 - 2*f + 2. Give p*h(i) + 2*z(i). -i**2 - i + 2 Let a(c) = 7*c**3 - 3 - 8*c**3 + 229*c**2 - 224*c**2 - c. Let l(v) = -v**3 + v**2 - 1. What is -a(k) + 5*l(k)? -4*k**3 + k - 2 Let i(w) be the third derivative of -w**4/24 - 12*w**2 + 152*w. Let b(h) = -3*h**2 - 5*h + 2. Calculate -b(t) + 4*i(t). 3*t**2 + t - 2 Let y(j) = -160*j**3 - 10*j**2 - 3*j + 9. Let m(n) = -n + 3. Give -3*m(a) + y(a). -160*a**3 - 10*a**2 Let l be 1 - (15/5)/(-3). Let m(x) = x + 1. Let v(p) = -p**2 + 292*p - 134*p + p**2 + 2*p**3 + 5 - 153*p. Give l*v(o) - 10*m(o). 4*o**3 Let a(z) = -1955*z**3 - 5*z**2 - 3*z + 5. Let h(t) = 977*t**3 + 2*t**2 + t - 2. Calculate 2*a(b) + 5*h(b). 975*b**3 - b Let k(p) = -3*p**3 + 7*p**2 + 2*p + 46. Let a(q) = 3*q**3 - 8*q**2 - 3*q - 54. What is 5*a(t) + 6*k(t)? -3*t**3 + 2*t**2 - 3*t + 6 Let p(w) = w**2 + 25*w + 88. Let z be p(-22). Let y(h) = 13 - z + 4*h + 1 + 5 + 4. Let u(a) = -5*a - 2. Calculate -2*u(m) - 3*y(m). -2*m + 1 Let z = -126 + 119. Let y be 61/z - (-8)/(-28). Let i(u) = -7*u**2 + 9. Let f(s) be the third derivative of -s**5/30 + s**3/3 + s**2. Calculate y*f(q) + 2*i(q). 4*q**2 Let d(h) = h + 4. Let a(l) = -8*l + 28. Let c(m) = a(m) - 5*d(m). Let p(v) = -27*v + 17. Give -13*c(n) + 6*p(n). 7*n - 2 Let g(t) = -26*t**3 - 20*t**2 - 37*t - 39. Let v(z) = -9*z**3 - 7*z**2 - 13*z - 14. Give -6*g(a) + 17*v(a). 3*a**3 + a**2 + a - 4 Let v(y) = -y. Suppose 5*q - 3*p - 1 + 37 = 0, -q - 4*p = -2. Let d(s) = -4*s. Determine q*v(t) - 3*d(t). 18*t Let j(h) = 13*h + 3. Let o(b) = 70*b - 501. Calculate -6*j(q) + o(q). -8*q - 519 Let l(w) = w**3 - w - 1. Let o(p) = -4*p**3 - 35 + 12*p**3 + 16 + 0*p + p**2 + 14 - 6*p. Give 6*l(i) - o(i). -2*i**3 - i**2 - 1 Let z(j) = -47*j + 154. Let a(g) = -23*g + 69. Calculate -5*a(d) + 2*z(d). 21*d - 37 Let t be ((-30)/(-6))/((-11 - -13) + -1). Let m(f) = -10*f**3 + 22*f**2 + 7. Let r(n) = -7*n**3 + 15*n**2 + 5. Calculate t*m(c) - 7*r(c). -c**3 + 5*c**2 Let w(p) = -2*p**3 + 2*p**2 - p + 2. Let m(h) = -8*h**3 + 9*h**2 - 4*h + 9. Suppose 2*a = -3*r - 27, 5*a + 49 = 5*r + 94. Determine r*w(y) + 2*m(y). 2*y**3 + y Let u(q) = q**3 - 4*q**2 - 2*q - 1. Let k(r) = -29*r - 379. Let b be k(-13). Let w(p) = -p**3 + 5*p**2 + 3*p + 2. Let s = 136 - 139. Calculate b*w(v) + s*u(v). -v**3 + 2*v**2 - 1 Let b(s) = -351*s + 4565. Let o be b(13). Let j(t) = -t**3 - t. Let x(v) = 4*v**3 - 15*v**2 + 3*v - 2. Give o*j(y) + x(y). 2*y**3 - 15*y**2 + y - 2 Let x(w) = 35*w. Let u(y) = 9*y. Let n(v) = -15*u(v) + 4*x(v). Let h = 241 - 237. Suppose 11*t = h + 18. Let g(b) = -21*b - 1. Calculate t*g(i) + 9*n(i). 3*i - 2 Let n(k) = 2. Let r(w) = -w**2 + 8*w - 3. Let s be r(7). Let q(f) = -3*f + 1 - 14 + s*f. Let z = 218336 + -218338. Calculate z*q(b) - 14*n(b). -2*b - 2 Let s(o) = 5*o - 24 + 128 - 107. Let d(r) = -9*r + 8. Let z(b) = 8*b - 8. Let k(f) = -6*d(f) - 5*z(f). Determine 4*k(l) - 11*s(l). l + 1 Let
{ "pile_set_name": "DM Mathematics" }
143 Three letters picked without replacement from {i: 2, h: 7, y: 3, g: 4, j: 1, w: 1}. Give prob of sequence giw. 1/612 Calculate prob of sequence emmm when four letters picked without replacement from enmnmmmnmnm. 1/66 What is prob of sequence fv when two letters picked without replacement from ffvzfvvv? 3/14 Four letters picked without replacement from jgggjgjggjjgggjj. What is prob of sequence jjgg? 9/130 Calculate prob of sequence wqnq when four letters picked without replacement from nwqellnqqq. 1/210 Calculate prob of sequence bm when two letters picked without replacement from iblms. 1/20 Four letters picked without replacement from ddtttttttttddd. What is prob of sequence dttd? 60/1001 Four letters picked without replacement from sswwww. Give prob of sequence ssww. 1/15 What is prob of sequence dss when three letters picked without replacement from ssssssdsssssssssssss? 1/20 Three letters picked without replacement from lmllm. What is prob of sequence lll? 1/10 Calculate prob of sequence ll when two letters picked without replacement from {q: 2, y: 1, x: 2, l: 4}. 1/6 Three letters picked without replacement from nbnzcncnnbnnncnbnzn. What is prob of sequence nnn? 55/323 What is prob of sequence wc when two letters picked without replacement from pqwvccqp? 1/28 What is prob of sequence xxxf when four letters picked without replacement from ffxxxxfxffxfx? 21/286 What is prob of sequence te when two letters picked without replacement from xbslxxesbxxbt? 1/156 What is prob of sequence cp when two letters picked without replacement from {u: 1, w: 3, b: 1, p: 6, c: 1}? 1/22 Two letters picked without replacement from {n: 8, g: 5, b: 5, z: 1}. What is prob of sequence ng? 20/171 Two letters picked without replacement from {r: 1, x: 1, o: 1, t: 1, s: 1, g: 2}. What is prob of sequence ts? 1/42 Two letters picked without replacement from {w: 3, v: 1}. Give prob of sequence vw. 1/4 Two letters picked without replacement from {e: 2, y: 7}. What is prob of sequence ey? 7/36 What is prob of sequence xxw when three letters picked without replacement from {w: 1, x: 2}? 1/3 Calculate prob of sequence ycm when three letters picked without replacement from csymrscstmysrmt. 2/455 Three letters picked without replacement from {u: 3, q: 5, i: 3}. What is prob of sequence qui? 1/22 Calculate prob of sequence sbe when three letters picked without replacement from sweesewweweweeebweeb. 1/171 Three letters picked without replacement from vaeacccavvalvl. What is prob of sequence vva? 2/91 Calculate prob of sequence pppb when four letters picked without replacement from ppppppppbppbpbpppppp. 2/19 Four letters picked without replacement from {k: 2, g: 6, v: 3, e: 1, c: 5, s: 2}. What is prob of sequence cvvc? 5/3876 Two letters picked without replacement from {y: 1, m: 6, f: 10}. What is prob of sequence fm? 15/68 What is prob of sequence eo when two letters picked without replacement from eeoaaea? 1/14 Three letters picked without replacement from {j: 7, r: 4}. Give prob of sequence rrj. 14/165 Two letters picked without replacement from {b: 4, s: 2, e: 2, k: 2, m: 3}. Give prob of sequence es. 1/39 Calculate prob of sequence nn when two letters picked without replacement from {j: 4, n: 2}. 1/15 What is prob of sequence eq when two letters picked without replacement from qemww? 1/20 Three letters picked without replacement from {o: 8, g: 5}. What is prob of sequence oog? 70/429 What is prob of sequence cjjj when four letters picked without replacement from {i: 1, n: 1, x: 9, c: 2, j: 5}? 1/612 Three letters picked without replacement from bykbukuyuu. What is prob of sequence kbu? 1/45 Three letters picked without replacement from {l: 5, o: 5, b: 2, t: 3}. Give prob of sequence ott. 1/91 Calculate prob of sequence wc when two letters picked without replacement from {w: 1, h: 3, n: 1, i: 1, c: 5, s: 6}. 5/272 Two letters picked without replacement from {b: 2, c: 10}. Give prob of sequence bb. 1/66 What is prob of sequence ui when two letters picked without replacement from {u: 2, i: 5, l: 7}? 5/91 Three letters picked without replacement from hlmlsasx. What is prob of sequence xsa? 1/168 Two letters picked without replacement from {m: 5, g: 15}. What is prob of sequence mg? 15/76 Calculate prob of sequence yb when two letters picked without replacement from {y: 5, r: 3, b: 6, h: 3}. 15/136 Two letters picked without replacement from mnoxxhk. What is prob of sequence xn? 1/21 Two letters picked without replacement from {d: 3, k: 3, m: 6, i: 3}. Give prob of sequence ii. 1/35 Three letters picked without replacement from {k: 2, h: 1, u: 1, z: 3}. What is prob of sequence zhk? 1/35 Calculate prob of sequence fyy when three letters picked without replacement from fffyffyyyffyff. 15/182 Calculate prob of sequence udq when three letters picked without replacement from qqduquuuuquququuuq. 35/2448 Two letters picked without replacement from xbb. What is prob of sequence bb? 1/3 What is prob of sequence qqqx when four letters picked without replacement from {p: 1, q: 4, v: 5, x: 1}? 1/330 What is prob of sequence ykry when four letters picked without replacement from {y: 3, k: 1, r: 1}? 1/20 What is prob of sequence hhe when three letters picked without replacement from sessssshshssses? 2/1365 Calculate prob of sequence vvb when three letters picked without replacement from {v: 1, c: 1, e: 2, g: 2, b: 1, j: 1}. 0 What is prob of sequence lf when two letters picked without replacement from ifiiqqiiliiii? 1/156 Two letters picked without replacement from {r: 1, o: 1, z: 6, t: 6, l: 1, n: 3}. Give prob of sequence zo. 1/51 Calculate prob of sequence bi when two letters picked without replacement from vibiobvokbbbkoobibk. 7/114 Two letters picked without replacement from {f: 3, l: 8}. Give prob of sequence ff. 3/55 Two letters picked without replacement from {t: 2, l: 7}. Give prob of sequence ll. 7/12 What is prob of sequence uuau when four letters picked without replacement from {a: 1, u: 7, w: 2}? 1/24 What is prob of sequence he when two letters picked without replacement from eheehheheehe? 35/132 What is prob of sequence cwl when three letters picked without replacement from {x: 1, k: 2, w: 4, l: 3, c: 1}? 2/165 Two letters picked without replacement from boobhhobbobobobbooo. What is prob of sequence ho? 1/19 Calculate prob of sequence rxo when three letters picked without replacement from wfpwxorpo. 1/252 Calculate prob of sequence gw when two letters picked without replacement from dwwdgdw. 1/14 Calculate prob of sequence tf when two letters picked without replacement from {d: 1, f: 1, p: 1, t: 2}. 1/10 Four letters picked without replacement from {f: 1, w: 3, k: 1, l: 1, a: 1}. Give prob of sequence wfal. 1/280 What is prob of sequence amr when three letters picked without replacement from {r: 1, c: 2, z: 1, m: 3, a: 5, w: 1}? 5/572 What is prob of sequence ooko when four letters picked without replacement from {k: 1, o: 11}? 1/12 Three letters picked without replacement from jdkddfldjkkdjkdkk. Give prob of sequence fjl. 1/1360 Two letters picked without replacement from {h: 3, b: 3, a: 1, j: 7}. What is prob of sequence jh? 3/26 Four letters picked without replacement from lazxl. Give prob of sequence lazx. 1/60 Calculate prob of sequence ta when two letters picked without replacement from autooostssttaaut. 1/16 Three letters picked without replacement from {r: 2, z: 1, q: 1, y: 1, j: 1, k: 1}. What is prob of sequence qkr? 1/105 Calculate prob of sequence qs when two letters picked without replacement from qiqssxg. 2/21 Calculate prob of sequence tt when two letters picked without replacement from yyttyytytt. 2/9 Four letters picked without replacement from ttmkrtrmmtxmmtr. Give prob of sequence txtt. 1/546 Calculate prob of sequence hg when two letters picked without replacement from hglghhg. 3/14 Three letters picked without replacement from mqggjmgmmmmqqjf. What is prob of sequence qgq? 3/455 What is prob of sequence ad when two letters picked without replacement from {d: 8, e: 5, a: 1, q: 4}? 4/153 Calculate prob of sequence pp when two letters picked without replacement from {p: 6, l: 1, u: 5, g: 5}. 15/136 Four letters picked without replacement from {y:
{ "pile_set_name": "DM Mathematics" }
609487 a prime number? True Is 104821 composite? True Is 3489 composite? True Is 181123 a composite number? False Is 1293739 a prime number? True Is 3011 prime? True Is 6337 a prime number? True Is 41417 composite? True Is 167699 composite? True Is 12047 composite? True Is 2098 a prime number? False Is 88721 composite? False Is 16753 a composite number? True Is 1517 a prime number? False Is 3989 a composite number? False Is 45307 prime? True Is 3383 composite? True Is 991303 prime? False Is 954293 composite? True Is 10898 a composite number? True Is 597281 a prime number? False Is 34211 a prime number? True Is 4020677 a composite number? True Is 161599 prime? True Is 30161 composite? False Is 3409 prime? False Is 3407 a composite number? False Is 125273 prime? False Is 1647539 a composite number? True Is 239357 composite? False Is 1693 composite? False Is 1138 composite? True Is 21787 prime? True Is 878105 a prime number? False Is 27211 composite? False Is 13963 composite? False Is 2361 prime? False Is 22603 a composite number? True Is 35381 a prime number? True Is 14777 a composite number? True Is 43331 a prime number? True Is 257487 composite? True Is 51713 composite? False Is 187205 a composite number? True Is 8489 a prime number? False Is 86899 a prime number? False Is 875377 composite? False Is 22327 a prime number? False Is 3943 a prime number? True Is 6197 composite? False Is 793 a composite number? True Is 136301 composite? True Is 2633 a prime number? True Is 88931 composite? True Is 11311 prime? True Is 10487 a prime number? True Is 23755 a prime number? False Is 6101 composite? False Is 491 prime? True Is 970321 prime? False Is 18287 prime? True Is 1838519 prime? True Is 381 a composite number? True Is 105899 composite? False Is 23003 composite? False Is 5513 a composite number? True Is 5314537 composite? False Is 20201 a composite number? False Is 3787 a composite number? True Is 377 a composite number? True Is 13859 composite? False Is 138691 a composite number? True Is 913 composite? True Is 7499 prime? True Is 50567 composite? True Is 21621 prime? False Is 1213 composite? False Is 310697 a prime number? True Is 3007 a prime number? False Is 3281 composite? True Is 13379 composite? True Is 349939 a prime number? True Is 16601 a prime number? False Is 18595 prime? False Is 9967 a composite number? False Is 139021 composite? False Is 78479 a composite number? False Is 158149 a prime number? False Is 106591 a prime number? True Is 61951 a composite number? True Is 7321 composite? False Is 245377 a composite number? True Is 222929 prime? False Is 307 a prime number? True Is 9517 a composite number? True Is 955 a prime number? False Is 8203 a composite number? True Is 17859 a prime number? False Is 16937 prime? True Is 213917 prime? False Is 9147 composite? True Is 24161 a composite number? True Is 4717 prime? False Is 503 a composite number? False Is 4729457 prime? True Is 53161 composite? False Is 388931 a composite number? False Is 3491 a prime number? True Is 254033 prime? False Is 26293 a prime number? True Is 253229 a composite number? False Is 97049 a composite number? True Is 183081 a prime number? False Is 114701 a prime number? False Is 210679 composite? True Is 34183 a composite number? False Is 96567 a composite number? True Is 246889 prime? True Is 39661 a prime number? False Is 217207 prime? True Is 414503 composite? False Is 153241 a prime number? False Is 297049 composite? False Is 373613 a composite number? False Is 837461 a composite number? False Is 422078 prime? False Is 7317737 a composite number? True Is 5737 a composite number? False Is 22177 a prime number? False Is 101767 a composite number? True Is 894937 prime? False Is 1379 a composite number? True Is 66403 prime? True Is 73237 prime? True Is 34179 composite? True Is 4621 composite? False Is 27329 a composite number? False Is 6079 a composite number? False Is 475582 a prime number? False Is 35795 a composite number? True Is 365991 a composite number? True Is 473549 a prime number? True Is 5669 a prime number? True Is 47111 composite? False Is 401 a composite number? False Is 419309 a composite number? True Is 61091 a composite number? False Is 1810831 a prime number? False Is 448807 composite? False Is 149191 a prime number? False Is 7753 prime? True Is 120287 a composite number? True Is 3863 a composite number? False Is 3709 a prime number? True Is 1622593 composite? True Is 5413 prime? True Is 4583 a composite number? False Is 214913 a composite number? False Is 317 prime? True Is 1674233 composite? True Is 77917 prime? False Is 36221 a prime number? False Is 7069 a prime number? True Is 57871 prime? False Is 1291 prime? True Is 24098 composite? True Is 196423 composite? True Is 379159 a composite number? True Is 36187 a composite number? False Is 387397 a prime number? True Is 130969 a prime number? True Is 34477 composite? True Is 63223 a prime number? False Is 2721 prime? False Is 30307 composite? False Is 472805 composite? True Is 30937 a composite number? False Is 447589 prime? False Is 1343 a prime number? False Is 417299 composite? True Is 41614 a composite number? True Is 122623 a prime number? False Is 48881 composite? True Is 384005 composite? True Is 1613857 composite? True Is 258173 a prime number? True Is 2669 a composite number? True Is 7621 prime? True Is 422 a composite number? True Is 295751 a prime number? True Is 17857 a composite number? True Is 5045 a composite number? True Is 1085267 a composite number? True Is 17965 a composite number? True Is 25791 a prime number? False Is 2161 a composite number? False Is 30047 prime? True Is 8315 a composite number? True Is 29707 a prime number? False Is 48305 a composite number? True Is 28133 a composite number? True Is 15493 composite? False Is 77201 prime? True Is 39635 composite? True Is 166343 prime? False Is 35093 prime? False Is 2203 a composite number? False Is 7343 a composite number? True Is 213703 a prime number? False Is 35605 a composite number? True Is 959533 prime? True Is 4443 a prime number? False Is 87 a prime number? False Is 4733 a prime number? True Is 47699 a prime number? True Is 14977 a prime number? False Is 86111 prime? True Is 38543 a prime number? True Is 3587 a prime number? False Is 647641 composite? False Is 10397 a prime number? False Is 11863 a composite number? False Is 1944551 prime? False Is 28697 a prime number? True Is 614831 prime? False Is 18391 a composite number? True Is 22247 a prime number? True Is 13159 composite? False Is 100387 prime? False Is 28513 a composite number? False Is 21265 a prime number? False Is 13649 prime? True Is 212723 a composite number? True Is 25661 a prime number? False Is 34211 prime? True Is 2190829 composite? False Is 6339 a prime number? False Is 19913 composite? False Is 10037 composite? False Is 80741 prime? False Is 6761 prime? True Is 145177 prime? True Is 83639 a prime number? True Is 2680003 prime? True Is 23603 a composite number? False Is 25031 a prime number? True Is 2081 composite? False Is 432713 composite? False Is 995183 prime? False Is 9467 composite? False Is 49871 composite? False Is 6247 a prime number? True Is 38957 composite? True Is 4282129 a composite number? False Is 35863 prime? True Is 2064377 prime? False Is 75913 composite? False Is 190751 prime? False Is 18419 prime? False Is 2237 composite? False Is 49303 a composite number? True Is 116713 composite? True Is 14563 a prime number? True Is 12758 a prime number? False Is 367357 a prime number? True Is 8263 prime? True Is 127943 a prime number? False Is 1799 a prime number? False Is 369407 a composite number? False Is 130821 composite? True Is 1276277 a prime number? False Is 34297 prime? True Is 386569 a prime number? True Is 291815 a prime number? False Is 41569 composite? True Is 118739 a prime number? True Is 19697 composite? False Is 223 a composite number? False Is 398143 a prime number? True Is 454271 a prime number? False Is 32467 a composite number? False Is 172373 prime? True Is 7279 composite? True Is 50497 prime? True Is 75937 composite? False Is 266317 a prime number? False Is 280061 a prime number? True Is 2819 composite? False Is 4
{ "pile_set_name": "DM Mathematics" }
quence uy when two letters picked without replacement from {y: 2, a: 1, i: 1, u: 2, d: 1}. 2/21 What is prob of sequence hlh when three letters picked without replacement from {e: 1, h: 8, n: 2, l: 2}? 28/429 Four letters picked without replacement from anjty. Give prob of sequence yjtn. 1/120 Two letters picked without replacement from {g: 6, u: 2, n: 2, b: 3}. Give prob of sequence gg. 5/26 Calculate prob of sequence rer when three letters picked without replacement from pprprrprreprrerr. 3/70 Calculate prob of sequence er when two letters picked without replacement from {r: 5, l: 4, e: 3}. 5/44 Four letters picked without replacement from {j: 2, f: 1, r: 3, v: 1}. Give prob of sequence vrfj. 1/140 Calculate prob of sequence vvzp when four letters picked without replacement from zvvvppvvpvzvvvzavp. 1/68 Two letters picked without replacement from {a: 3, j: 5}. What is prob of sequence ja? 15/56 Three letters picked without replacement from {j: 1, i: 3}. What is prob of sequence iij? 1/4 Calculate prob of sequence wop when three letters picked without replacement from fkokkoiwoowwwpw. 2/273 Calculate prob of sequence rrd when three letters picked without replacement from rbdtodrpdodbrdr. 2/91 Two letters picked without replacement from {h: 11, z: 5}. Give prob of sequence hh. 11/24 Two letters picked without replacement from ivaia. What is prob of sequence vi? 1/10 Four letters picked without replacement from {x: 1, g: 3, q: 1, p: 5, v: 3}. What is prob of sequence qpxg? 1/1144 What is prob of sequence ph when two letters picked without replacement from phhphphphp? 5/18 Two letters picked without replacement from {d: 4, b: 3, f: 6, c: 2}. What is prob of sequence db? 2/35 What is prob of sequence jxxx when four letters picked without replacement from jxxxxj? 2/15 What is prob of sequence ggu when three letters picked without replacement from {d: 4, g: 2, u: 5, m: 2}? 5/858 What is prob of sequence mbbb when four letters picked without replacement from {b: 7, m: 3}? 1/8 Two letters picked without replacement from {c: 4, o: 2, k: 1, b: 3, e: 1}. Give prob of sequence eo. 1/55 Two letters picked without replacement from {i: 2, d: 2, h: 6, a: 1}. What is prob of sequence dh? 6/55 Three letters picked without replacement from {o: 2, u: 1}. Give prob of sequence uoo. 1/3 Calculate prob of sequence vn when two letters picked without replacement from {v: 1, t: 2, i: 2, n: 1, u: 1, j: 1}. 1/56 What is prob of sequence gtzh when four letters picked without replacement from {h: 1, t: 4, b: 1, z: 1, g: 1}? 1/420 Four letters picked without replacement from {r: 2, i: 1, n: 2}. Give prob of sequence irnr. 1/30 Calculate prob of sequence cc when two letters picked without replacement from {z: 17, c: 3}. 3/190 Two letters picked without replacement from {a: 2, i: 6, j: 11}. Give prob of sequence ij. 11/57 Three letters picked without replacement from pjpdjjjjdppp. What is prob of sequence jjd? 1/33 Calculate prob of sequence nvr when three letters picked without replacement from pvbnr. 1/60 What is prob of sequence dggd when four letters picked without replacement from dggddggdgz? 1/21 Calculate prob of sequence tlt when three letters picked without replacement from wwtqqlqtq. 1/252 What is prob of sequence tb when two letters picked without replacement from bbttbttttttt? 9/44 What is prob of sequence ll when two letters picked without replacement from xccxlxxcfx? 0 Three letters picked without replacement from njyyrnyrsrncycs. Give prob of sequence jsr. 1/455 What is prob of sequence rg when two letters picked without replacement from lgrzpjjzl? 1/72 Four letters picked without replacement from {t: 2, d: 7, m: 9}. What is prob of sequence mddm? 7/170 Four letters picked without replacement from {z: 2, e: 16}. What is prob of sequence eeez? 14/153 Three letters picked without replacement from {z: 6, o: 3, k: 3, c: 3, h: 4}. Give prob of sequence hhc. 2/323 Four letters picked without replacement from kjkgkkkkkjjkgjgkkkkk. Give prob of sequence jkgk. 26/1615 Calculate prob of sequence kl when two letters picked without replacement from {l: 18, k: 2}. 9/95 Four letters picked without replacement from qqoqqoqqqqqqqqqqqqq. Give prob of sequence oqoq. 1/171 Three letters picked without replacement from cccccciiic. Give prob of sequence icc. 7/40 Four letters picked without replacement from {j: 2, v: 9}. What is prob of sequence jjvv? 1/55 Three letters picked without replacement from {v: 3, l: 11}. What is prob of sequence vlv? 11/364 What is prob of sequence st when two letters picked without replacement from {s: 4, e: 6, c: 2, t: 3, j: 1, f: 3}? 2/57 What is prob of sequence psr when three letters picked without replacement from rrrijprijprpptjjtjps? 5/1368 What is prob of sequence bke when three letters picked without replacement from ketlebntn? 1/252 Three letters picked without replacement from {t: 2, b: 2, n: 1}. What is prob of sequence nbt? 1/15 Three letters picked without replacement from ceeeerceeeccceceee. What is prob of sequence rcc? 5/816 Calculate prob of sequence is when two letters picked without replacement from izziizs. 1/14 Four letters picked without replacement from iiqihziiz. What is prob of sequence zqiz? 5/1512 Three letters picked without replacement from hhemhhemhhh. Give prob of sequence eem. 2/495 Four letters picked without replacement from {r: 7, q: 9}. What is prob of sequence qrqr? 9/130 What is prob of sequence ibbx when four letters picked without replacement from {e: 1, x: 1, r: 2, n: 1, b: 13, i: 2}? 13/4845 Three letters picked without replacement from uuvbuvu. What is prob of sequence ubu? 2/35 What is prob of sequence kkzk when four letters picked without replacement from {z: 9, k: 3}? 1/220 What is prob of sequence pziw when four letters picked without replacement from {q: 1, z: 2, w: 7, t: 1, i: 2, p: 1}? 1/858 What is prob of sequence uhx when three letters picked without replacement from hxhuhccuhhhuhhhhhcch? 1/190 Three letters picked without replacement from {f: 5, a: 1, i: 2, g: 1, q: 1}. What is prob of sequence aqg? 1/720 What is prob of sequence gd when two letters picked without replacement from {v: 1, g: 2, d: 1, n: 4}? 1/28 Calculate prob of sequence aa when two letters picked without replacement from aaaaaama. 3/4 Four letters picked without replacement from gsgggggsgsgggggggggl. What is prob of sequence gssg? 4/323 Calculate prob of sequence xq when two letters picked without replacement from {x: 2, q: 10}. 5/33 Four letters picked without replacement from {g: 12, o: 3}. What is prob of sequence ggoo? 11/455 Two letters picked without replacement from {h: 1, l: 1, i: 1}. Give prob of sequence ih. 1/6 Calculate prob of sequence ibiz when four letters picked without replacement from {z: 9, b: 3, u: 2, i: 5}. 15/2584 What is prob of sequence ieee when four letters picked without replacement from iieiiiieiieiiii? 1/455 Three letters picked without replacement from {n: 6, x: 3, u: 3, w: 7}. What is prob of sequence nnx? 5/323 What is prob of sequence kz when two letters picked without replacement from zkk? 1/3 Two letters picked without replacement from nqxzv. What is prob of sequence nq? 1/20 Calculate prob of sequence sas when three letters picked without replacement from {a: 1, s: 3}. 1/4 Calculate prob of sequence ggg when three letters picked without replacement from {g: 10}. 1 Three letters picked without replacement from {s: 1, t: 2, p: 5, q: 2, m: 4}. Give prob of sequence qtm. 2/273 Calculate prob of sequence ddpd when four letters picked without replacement from hdhdhdapdhddddndndd. 55/5168 What is prob of sequence ho when two letters picked without replacement from {h: 3, o: 3, n: 2}? 9/56 Two letters picked without replacement from xcccccxcccccxccccc. What is prob of sequence cc? 35/51 Four letters picked without replacement from {p: 8, f: 3}. What is prob of sequence ppfp? 7/55 Four letters picked without replacement from {p: 4, r: 2, y: 1, z: 1, c: 1}. What is prob of sequence rryc? 1/1512 Four letters picked without replacement from {y: 1, t: 1, l: 4, n: 1, b: 2, q: 3}. What is prob of sequence blty? 1/1485 Calculate prob of sequence nnnl when four letters picked without replacement from nonon
{ "pile_set_name": "DM Mathematics" }
e Let m = 1 + 3. Let q = m - 3. Does 11 divide q + 1 - (-9 - 0)? True Does 13 divide (-24)/(-40) + (-424)/(-10)? False Let o be -3 - -2*(-3)/(-6). Let x = 5 + o. Is 15 a factor of -2 - 0/x - -32? True Let k(g) be the second derivative of -g**4/12 + 3*g**2 + 3*g. Is 2 a factor of k(0)? True Let g(m) = -2*m + 5. Let c be g(3). Does 3 divide c - (-3)/3 - -10? False Suppose 7 = -4*l + 3*l + 4*q, 0 = -3*l + 2*q - 1. Let g(i) = 15*i**3 + i**2 - 2*i + 1. Does 15 divide g(l)? True Is -4 + (-155)/(-9) + 4/(-18) a multiple of 13? True Let j(h) = 2*h + 2. Let w be j(-2). Let z(t) = -3*t**3 - 2*t**2 - 2*t - 3. Does 8 divide z(w)? False Let r be (-3)/6*4*-2. Suppose 3*v + 2*o = 54, r*v = -0*v + 5*o + 95. Is 8 a factor of v? False Let d be 16/6*15/4. Let k be (8/5)/(4/d). Suppose 3*r - 62 = -k*p, 0*r + r - 6 = -5*p. Is 13 a factor of r? True Suppose -r - 4*r - 125 = 0. Let y = r - -38. Let i = 28 - y. Is i a multiple of 6? False Let w = -30 + 14. Let p(s) = s**3 + 15*s**2 - 20*s - 8. Is 21 a factor of p(w)? False Suppose -3*m + 12 = -2*z, 20 = -5*z + m + 4*m. Let q(r) = 3*r**2 + z - 2*r**2 + 3 - r - r**3. Is 21 a factor of q(-3)? True Let k(m) = -m**2 - 6*m + 12. Is 3 a factor of k(-6)? True Is (-83)/(-2) + (-6)/(-12) a multiple of 24? False Suppose 0 = -p + 4, 5*k - 25 - 22 = -3*p. Is 2 a factor of k? False Suppose -2*o = 5*z - 324, 3*o - 2*z + 6*z - 472 = 0. Suppose -5*k + 3*k + o = 0. Does 20 divide k? False Suppose 2*d = 2*i + 3*i - 4, 10 = 5*i. Let k = d - 8. Let z(n) = -n**3 - 4*n**2 + n - 7. Is 7 a factor of z(k)? False Let o(p) = -2*p**2 + 5*p - 2. Let g be o(3). Let z = g + 11. Suppose -80 = -z*c + c. Is c a multiple of 9? False Let w(u) = u**3 + 5*u**2 - 7*u - 2. Let v be w(-6). Let p = 50 - 46. Suppose 3*z - 33 = 2*d + 39, p*d + 92 = v*z. Is z a multiple of 13? True Let g be 4/(-6)*(0 - -3). Let n = 30 + g. Does 14 divide n? True Let p = -27 - -39. Let o(n) = -n**3 + 9*n**2 - 9*n + 6. Let q be o(8). Is p + (q - -1)*1 a multiple of 6? False Suppose -12 = g - 4*g, 5*g = -5*c - 10. Let o(l) = -l**3 - 4*l**2 + 0*l**3 + 0*l**3 + 10*l + 7. Does 8 divide o(c)? False Suppose 2*d - 3*d + 20 = 0. Suppose -4*t + 9 = v + 29, 2*v = 4*t + d. Let f(c) = c**2 + 2*c. Does 15 divide f(t)? True Suppose -25 + 10 = -3*u. Suppose 5*q - 10 = 0, 3*b - u*b = -5*q + 64. Let s = -19 - b. Is s a multiple of 8? True Let j be ((-5)/15)/(1/(-9)). Suppose 11 = -j*a + 32. Let c(n) = -n**3 + 8*n**2 - 2*n - 9. Is 8 a factor of c(a)? False Let t(z) = 4*z**2 + 12*z - 1. Let q(l) = -l**2 - 1. Let v(h) = -3*q(h) - t(h). Let b be v(-10). Suppose 4*w = -2*c + 6, 4*w - 3*c = -w + b. Is 3 a factor of w? True Let n(s) = s**3 - s**2 + s - 1. Let i(u) = 2*u**3 + 6*u**2 - 16. Let o(a) = -i(a) + 3*n(a). Is o(9) a multiple of 15? False Suppose 5 + 7 = 4*v. Suppose -v*q = -q - 82. Is q/4 - (-1)/(-4) a multiple of 10? True Does 18 divide (-228)/(-10)*45/18? False Suppose c = 5*c + 12. Does 30 divide -25*(54/(-10) - c)? True Let g be -3 + ((-4)/(-2) - -118). Suppose 2*n + n = g. Does 13 divide n? True Suppose 0 = 4*x - 5*p - 110, -p = 4*x - 27 - 95. Suppose 0 = -0*n - 5*n + x. Is ((-33)/n)/((-2)/4) a multiple of 3? False Let t = 122 - 117. Does 5 divide t? True Suppose 1 = y - 2*t, -y - y - 6 = -2*t. Let f be (0 - 1)/((-1)/y). Let c(o) = -2*o - 6. Is c(f) a multiple of 6? False Suppose 0*b - 2*b = -12. Let h(q) = -q**3 + 6*q**2 + 8*q - 2. Let k be h(b). Suppose -z - k = -2*z. Is z a multiple of 23? True Let a = 0 + 4. Let h(r) = r**2 - 7*r - 5. Let m be h(a). Let x = m - -25. Does 7 divide x? False Let d = -20 - 6. Let v = 63 + d. Is 8 a factor of v? False Suppose -132 = -3*i - 5*h, 6*i - h - 114 = 3*i. Is 13 a factor of i? True Let d be (-9)/(-4) + 2/(-8). Suppose 3*f = -d*f + 130. Does 13 divide f? True Suppose 0 = b + 2. Let r = 5 - b. Is 5 a factor of r? False Let o = -67 - -267. Is o a multiple of 27? False Does 12 divide 34/(-85) - (-242)/5? True Let c(v) = 2*v**2 + 10*v - 3. Let x be c(-8). Suppose 0*q + x = 5*q. Suppose -2*k + 11 + q = 0. Is k a multiple of 10? True Suppose b = 4*b + 111. Let v = -19 - b. Is v a multiple of 9? True Suppose 33*q - 1330 = 28*q. Is 19 a factor of q? True Let b = 15 + 8. Suppose 0 = -0*c + 4*c. Suppose -b = -2*x - 3*g + 20, 3*x + 5*g - 67 = c. Does 7 divide x? True Suppose 0 = n + 3*q - 6, 3*n - 3*q - 78 = -0*q. Suppose -69 - n = -3*a. Is a a multiple of 10? True Let z(t) = 5*t - 53. Is 9 a factor of z(16)? True Let h be 22 + (5 - 3)*-1. Suppose h = w - 34. Does 20 divide w? False Let v(w) be the second derivative of -w**5/20 - 5*w**4/12 - 5*w**3/6 - 3*w. Let f be v(-4). Does 6 divide f/(-10) + (-62)/(-5)? True Let o(z) = -z**3 - 2*z**2 + z + 2. Let g = 4 + -2. Suppose 3*r + 1 = 2*t - 1, 0 = g*r - t + 3. Is 15 a factor of o(r)? True Let p(d) = -d**2 + 2*d + 10. Let f be 0 - 2 - (-5 - -3). Does 10 divide p(f)? True Let s be (2 - -1)/(-3) - -4. Suppose -3*i = -5*v - 17, 2*i - 3*v - s = i. Is i a multiple of 4? False Suppose -3*h = q - 4*q - 549, -4*q + 208 = h. Is h a multiple of 47? True Suppose -177 = -4*g - s, 7*g - 2*g + 5*s = 240. Let y = g + 8. Is 11 a factor of y? False Suppose 16 - 4 = 2*h. Suppose -3*s - 46 = -4*l, 0*s = -l - 2*s + h. Does 10 divide l? True Suppose 0 = -2*r + 13 - 5. Suppose r*u = 2*u + 2*f + 54, 0 = u + 4*f - 22. Does 21 divide u? False Let a be 6/((-34)/12 - -3). Suppose 4*u + 2*h - a = h, -4*h = -2*u + 36. Is u a multiple of 7? False Suppose 4*p - 24 = 4*m, 11 = 4*p + m - 13. Suppose -3*q + p*q = 36. Let v = q - -13. Does 12 divide v? False Let o(p) = -2*p - 3. Let l be o(-4). Suppose 3*m = l*i + 19, 2*m - 6*m - 5*i - 33 = 0. Let h = m - -5. Is 3 a factor of h? True Let u(b) = -b**2 - b + 4. Let p be u(3). Let z = p + 14. Is 2 a factor of z? True Suppose 2*c = 4*c + 4*v - 16, v = 4*c - 14. Is c a multiple of 4? True Let s be (-35)/2 + 1/2. Let h = -12 - s. Suppose -17 = -3*z - 3*c + 19, h*z + 4*c - 64 = 0. Is z a multiple of 14? False Is 24 a factor of (32/(-3))/((-46)/207)? True Let c(y) = -3*y + 3. Is c(-13) a multiple of 7? True Let g = -10 + 21. Is 7 a factor of g? False Let l(w) = -w**2 + 7*w - 4. Let t be l(6). Let g be (2*(-2)/t)/1. Is 1 - (-1 + g + 0) a multiple of 2? True Is 16 a factor of (-18)/(-5)*100/15? False Let k be (33/12)/((-1)/(-8)). Let j = -9 + k. Does 4 divide j? False Suppose 3*v = j + 43 + 37, v + 3*j = 30. Suppose 30 = 3*q - v. Is 6 a factor of q? False Let b(g) = g**2 + 2*g + 3. Let d(o) = o - 1. Let q be d(-2). Does 6 divide b(q)? True Suppose 330 = -3*n - 2*n. Let p = -40 - n. Is p a multiple of 13? True Suppose 3*h = -4*o + 21, -4*h + 3*h - 31 = -5*o. Let j be o/9 - 4/6. Suppose 0*k + 5*k - 170 = j. Is 17 a factor of k? True Let b = 8 - 10. Does 7 divide 76/3 + b/6? False Suppose -t + 19 = 2*r, -3*t + 2*r + 22 + 11 = 0. Suppose 56 = 4*o + 3*z + t, -2*o + 3*z + 17 = 0. Does 10 divide o? True Let a(h) = 6*h + 11 - 5*h + 3*h + h**2. Does 5 divide a(-6)? False Let s(b) = -2*b**3 - 4*b**2 - 4*b - 3. Let u be s(-2). Let j = 5 - u. Suppose j = -3*c - 4*q + 43, 22 = 2*c - 3*q - 1. Is 8 a factor of c? False Let n = -1 - -62. Is 27 a factor of n? False Suppose 4*s + 4*u - 2 = 2, 0 = -4*s - 2*u + 8. Suppose 0 = 5*a, a - 186 = -s*j - 0*j. Is 16 a factor of j? False Suppose -45*x + 411 = -42*x. Is 11 a factor of x? False Let z = 159 - 31. Is 33 a factor of z? False Let m = 5 + -3. Suppose x - 1 = -m*s, -2*x = x + 4*s - 3. Is x/2 - (-51)/6 a multiple of 7? False Let h(z) = -z. Let m(u) be the third derivative of -u**5/10 - u**4/2 + u**3/3 - 3*u**2. Let i(g) = 10*h(g) - m(g). Is i(2) a multiple of 10? False Let m = 4 + 80. Is m a multiple of 28? True Suppose -6 = -3*c, -3*d + 11 = 5*c - 65. Suppose 8 = 3*l - d. Does 6 divide l? False Is 2 a factor of 3 - (9/3 - 5)? False Is 5 a factor of (-2)/8 + (-1116)/(-48)? False Let c = 211 - 135. Is 38 a factor of c? True Suppose 4*v = 267 + 85. Does 4 divide v? True Suppose 4 - 1 = -3*r. Let b be (-2)/(-4)*(r - -207). Let n = b + -59. Is 22 a factor of n? True Suppose 4*q = 4*p + 272, 5*q = p - 3*p + 333. Suppose 0 = 4*t - 0*t. Suppose 4*d - q + 19 = t. Is 6 a factor of d? True Let s be (1 - 3 - -2)/(-1). Let v(t) = s*t**3 - t - 3 + t**2 - 4*t**2 + 4 + t**3. Does 13 divide v(4)? True Let k(t) = t**2 + 7*t + 4. Let h = -3 + -4. Let n be k(h). Suppose -23 = -3*c - 2*r - 5, 2*c
{ "pile_set_name": "DM Mathematics" }
5 Four letters picked without replacement from {i: 5, h: 4, x: 1, s: 10}. What is prob of picking 1 s and 3 i? 20/969 Four letters picked without replacement from {g: 4, x: 14}. Give prob of picking 1 x and 3 g. 14/765 What is prob of picking 1 p, 1 r, and 1 o when three letters picked without replacement from {o: 1, p: 2, w: 1, m: 1, r: 1, f: 1}? 2/35 What is prob of picking 2 s and 2 k when four letters picked without replacement from {k: 3, s: 15}? 7/68 Three letters picked without replacement from gugeeguedegdengf. What is prob of picking 3 g? 1/56 Four letters picked without replacement from ttttcbtccctbctccbt. Give prob of picking 3 c and 1 t. 14/153 What is prob of picking 1 r and 2 q when three letters picked without replacement from qqrkarn? 2/35 Four letters picked without replacement from {w: 3, e: 2, i: 6, v: 7, m: 1}. What is prob of picking 1 e, 1 i, 1 v, and 1 w? 21/323 Two letters picked without replacement from srsassssrsbr. What is prob of picking 1 r and 1 b? 1/22 Four letters picked without replacement from kbkkbwwobbkkkkkkkww. Give prob of picking 1 o, 1 w, 1 b, and 1 k. 40/969 Two letters picked without replacement from {q: 4, d: 7}. What is prob of picking 1 d and 1 q? 28/55 What is prob of picking 1 r and 1 u when two letters picked without replacement from uooruorruoouo? 2/13 Calculate prob of picking 1 k and 2 b when three letters picked without replacement from bbkkkkbbbb. 1/2 Calculate prob of picking 2 f and 1 n when three letters picked without replacement from nnnfnffnnnnn. 27/220 Calculate prob of picking 3 y when three letters picked without replacement from yyyhi. 1/10 Four letters picked without replacement from rrrrrrrrrrrkrkrrkr. What is prob of picking 4 r? 91/204 Three letters picked without replacement from obobbb. What is prob of picking 2 b and 1 o? 3/5 Three letters picked without replacement from {r: 5, e: 4, w: 10}. Give prob of picking 1 w and 2 e. 20/323 Two letters picked without replacement from {z: 1, j: 3, y: 2, d: 4}. Give prob of picking 1 z and 1 y. 2/45 Calculate prob of picking 2 b when two letters picked without replacement from pbppppbppbppbp. 6/91 Two letters picked without replacement from {l: 2, g: 7}. What is prob of picking 2 g? 7/12 Three letters picked without replacement from {a: 2, b: 1, x: 1, q: 5}. Give prob of picking 2 q and 1 x. 5/42 What is prob of picking 2 k and 1 n when three letters picked without replacement from {k: 4, n: 4, i: 12}? 2/95 What is prob of picking 1 k and 3 a when four letters picked without replacement from kpppaakaappka? 6/143 Four letters picked without replacement from {g: 1, x: 3, a: 4}. What is prob of picking 1 g and 3 a? 2/35 Two letters picked without replacement from yppp. What is prob of picking 2 p? 1/2 Calculate prob of picking 3 l when three letters picked without replacement from {q: 7, y: 2, l: 7}. 1/16 Calculate prob of picking 1 j and 1 b when two letters picked without replacement from bbjjb. 3/5 Calculate prob of picking 1 q and 3 e when four letters picked without replacement from {q: 2, e: 3, p: 5}. 1/105 What is prob of picking 1 y and 1 d when two letters picked without replacement from {c: 5, d: 3, y: 2}? 2/15 What is prob of picking 3 p when three letters picked without replacement from {p: 3, f: 2}? 1/10 Four letters picked without replacement from fndzfffgffnssfd. What is prob of picking 3 f and 1 s? 2/39 Calculate prob of picking 1 f and 3 r when four letters picked without replacement from fffrffrfrfffffff. 1/140 Calculate prob of picking 3 i and 1 r when four letters picked without replacement from iirrriip. 6/35 Two letters picked without replacement from zhccmjcjc. Give prob of picking 2 j. 1/36 Calculate prob of picking 1 i, 2 q, and 1 f when four letters picked without replacement from {l: 1, i: 1, f: 1, n: 2, g: 2, q: 2}. 1/126 Calculate prob of picking 1 e and 2 t when three letters picked without replacement from ptteeteptpppp. 9/143 What is prob of picking 1 c, 1 g, and 2 p when four letters picked without replacement from bbppbgcbcbbbbcbc? 1/455 Calculate prob of picking 1 u and 1 m when two letters picked without replacement from {m: 1, a: 3, u: 3, f: 2, n: 9, j: 2}. 3/190 Two letters picked without replacement from xxwxwxw. Give prob of picking 2 w. 1/7 What is prob of picking 1 s and 1 h when two letters picked without replacement from {s: 1, h: 3, p: 1}? 3/10 What is prob of picking 3 o and 1 y when four letters picked without replacement from yoiibbobbbbiyobbb? 1/1190 Three letters picked without replacement from {z: 3, n: 12}. What is prob of picking 3 z? 1/455 Three letters picked without replacement from {r: 1, c: 1, q: 1, n: 3, x: 6, b: 1}. What is prob of picking 3 n? 1/286 Calculate prob of picking 2 s when two letters picked without replacement from strrtvstvsvttst. 2/35 Two letters picked without replacement from pckcpppkpdpppd. Give prob of picking 2 c. 1/91 What is prob of picking 1 i and 2 z when three letters picked without replacement from {z: 4, x: 1, k: 1, i: 1, t: 4}? 2/55 Calculate prob of picking 1 g, 1 o, 1 p, and 1 d when four letters picked without replacement from fotgpddo. 2/35 What is prob of picking 1 r, 1 t, 1 p, and 1 f when four letters picked without replacement from kftuukuuptfuuuruuuu? 1/969 Calculate prob of picking 2 i and 1 o when three letters picked without replacement from {o: 3, i: 4}. 18/35 Calculate prob of picking 2 y and 1 m when three letters picked without replacement from {m: 4, i: 2, y: 5}. 8/33 Three letters picked without replacement from blgwugllubaullalglb. Give prob of picking 1 u, 1 a, and 1 b. 6/323 What is prob of picking 2 i and 2 d when four letters picked without replacement from {i: 2, h: 3, c: 2, d: 2, q: 2, v: 1}? 1/495 Three letters picked without replacement from tpnnntjnncppn. What is prob of picking 1 j and 2 n? 15/286 What is prob of picking 1 c, 1 y, and 1 t when three letters picked without replacement from {c: 4, x: 1, t: 1, a: 6, z: 2, y: 1}? 4/455 Two letters picked without replacement from {h: 1, z: 1, b: 1}. Give prob of picking 1 b and 1 z. 1/3 Calculate prob of picking 2 m when two letters picked without replacement from evmlmvvmlmfvvvmmvem. 7/57 Two letters picked without replacement from {e: 1, c: 7, v: 1, b: 5, g: 2}. What is prob of picking 2 g? 1/120 Four letters picked without replacement from gggggigggggiig. What is prob of picking 1 g and 3 i? 1/91 Calculate prob of picking 1 d and 2 q when three letters picked without replacement from pjjjjjjqjqqd. 3/220 Three letters picked without replacement from {w: 2, c: 2, i: 5}. What is prob of picking 3 i? 5/42 Two letters picked without replacement from {v: 5, c: 2, u: 2, f: 2, w: 2}. Give prob of picking 1 f and 1 w. 2/39 What is prob of picking 2 d when two letters picked without replacement from ssdstgstssggstdtt? 1/136 Three letters picked without replacement from {b: 2, w: 10}. Give prob of picking 2 w and 1 b. 9/22 Calculate prob of picking 1 r and 2 a when three letters picked without replacement from aagigyriaa. 1/20 Calculate prob of picking 2 u when two letters picked without replacement from puuupuu. 10/21 Two letters picked without replacement from qysnyqesysnyenm. What is prob of picking 1 n and 1 m? 1/35 What is prob of picking 2 u when two letters picked without replacement from {v: 6, u: 2, z: 3, o: 4, b: 1, a: 4}? 1/190 Two letters picked without replacement from {u: 1, m: 1, d: 1}. Give prob of picking 1 d and 1 m. 1/3 Calculate prob of picking 3 e when three letters picked without replacement from {e: 3}. 1 Calculate prob of picking 1 p, 1 s, and 1 z when three letters picked without replacement from {t: 4, z: 2, p: 2, l: 1, s: 10}. 40/969 Three letters picked without replacement from {a: 3, e: 2}. Give prob of picking 2 e and 1 a. 3/10 Calculate prob of picking 1 q, 1 m, and 2 v when four letters picked without replacement from {v: 1, m: 1, q: 1, c: 2, k: 5}. 0 Two letters picked without replacement from {i: 1, f: 5, d: 1, n: 1, g: 3, e: 3}. What is prob of picking 1 g and 1 n? 3/91 Two letters picked without replacement from {s: 11, g: 2}. Give prob of picking 2 s. 55/78 What is prob of picking 1 r, 1 e, and 1 v when three letters picked without replacement f
{ "pile_set_name": "DM Mathematics" }
What is the tens digit of 672? 7 What is the hundreds digit of 1357? 3 What is the tens digit of 68? 6 What is the units digit of 10186? 6 What is the hundreds digit of 920? 9 What is the thousands digit of 74702? 4 What is the thousands digit of 4011? 4 What is the units digit of 80561? 1 What is the thousands digit of 8673? 8 What is the thousands digit of 14169? 4 What is the thousands digit of 2592? 2 What is the units digit of 3415? 5 What is the units digit of 2095? 5 What is the tens digit of 917? 1 What is the units digit of 302? 2 What is the tens digit of 1027? 2 What is the thousands digit of 2013? 2 What is the hundreds digit of 3246? 2 What is the thousands digit of 7091? 7 What is the hundreds digit of 1883? 8 What is the tens digit of 16474? 7 What is the thousands digit of 1736? 1 What is the tens digit of 31827? 2 What is the thousands digit of 2450? 2 What is the ten thousands digit of 23638? 2 What is the tens digit of 566? 6 What is the thousands digit of 11877? 1 What is the tens digit of 12620? 2 What is the hundreds digit of 649? 6 What is the units digit of 333? 3 What is the hundreds digit of 3770? 7 What is the units digit of 1701? 1 What is the thousands digit of 17112? 7 What is the hundreds digit of 745? 7 What is the tens digit of 11002? 0 What is the tens digit of 20374? 7 What is the thousands digit of 41960? 1 What is the ten thousands digit of 47596? 4 What is the tens digit of 788? 8 What is the tens digit of 427? 2 What is the hundreds digit of 3172? 1 What is the hundreds digit of 18328? 3 What is the tens digit of 2474? 7 What is the units digit of 1608? 8 What is the ten thousands digit of 12486? 1 What is the hundreds digit of 2685? 6 What is the thousands digit of 10325? 0 What is the tens digit of 1736? 3 What is the tens digit of 4230? 3 What is the hundreds digit of 24866? 8 What is the tens digit of 227? 2 What is the hundreds digit of 19488? 4 What is the ten thousands digit of 22147? 2 What is the thousands digit of 21606? 1 What is the hundreds digit of 6040? 0 What is the tens digit of 647? 4 What is the units digit of 810? 0 What is the tens digit of 17818? 1 What is the thousands digit of 90177? 0 What is the thousands digit of 25517? 5 What is the hundreds digit of 685? 6 What is the hundreds digit of 17431? 4 What is the tens digit of 37055? 5 What is the hundreds digit of 948? 9 What is the thousands digit of 4804? 4 What is the thousands digit of 1711? 1 What is the tens digit of 16765? 6 What is the tens digit of 61? 6 What is the hundreds digit of 15429? 4 What is the tens digit of 398? 9 What is the thousands digit of 8798? 8 What is the thousands digit of 1888? 1 What is the ten thousands digit of 11445? 1 What is the hundreds digit of 876? 8 What is the hundreds digit of 18307? 3 What is the tens digit of 736? 3 What is the hundreds digit of 13983? 9 What is the hundreds digit of 5212? 2 What is the tens digit of 34? 3 What is the units digit of 4097? 7 What is the units digit of 7757? 7 What is the hundreds digit of 148? 1 What is the ten thousands digit of 10464? 1 What is the thousands digit of 4726? 4 What is the hundreds digit of 462? 4 What is the tens digit of 550? 5 What is the thousands digit of 2797? 2 What is the thousands digit of 81827? 1 What is the tens digit of 47219? 1 What is the thousands digit of 12396? 2 What is the thousands digit of 1268? 1 What is the units digit of 7942? 2 What is the units digit of 57606? 6 What is the ten thousands digit of 27903? 2 What is the units digit of 11736? 6 What is the thousands digit of 1837? 1 What is the thousands digit of 1317? 1 What is the hundreds digit of 19663? 6 What is the hundreds digit of 801? 8 What is the tens digit of 4784? 8 What is the thousands digit of 26829? 6 What is the units digit of 15711? 1 What is the units digit of 3609? 9 What is the hundreds digit of 31659? 6 What is the tens digit of 3595? 9 What is the units digit of 773? 3 What is the units digit of 370? 0 What is the ten thousands digit of 42935? 4 What is the ten thousands digit of 19161? 1 What is the tens digit of 20563? 6 What is the tens digit of 8278? 7 What is the tens digit of 79? 7 What is the hundreds digit of 96234? 2 What is the thousands digit of 2625? 2 What is the units digit of 778? 8 What is the hundred thousands digit of 131078? 1 What is the units digit of 619? 9 What is the hundreds digit of 4393? 3 What is the tens digit of 69513? 1 What is the hundreds digit of 14639? 6 What is the hundreds digit of 271? 2 What is the units digit of 6879? 9 What is the hundreds digit of 21181? 1 What is the units digit of 272? 2 What is the hundreds digit of 867? 8 What is the tens digit of 125550? 5 What is the units digit of 937? 7 What is the thousands digit of 3635? 3 What is the tens digit of 675? 7 What is the thousands digit of 1722? 1 What is the units digit of 4394? 4 What is the units digit of 4473? 3 What is the tens digit of 411? 1 What is the tens digit of 551? 5 What is the hundreds digit of 4925? 9 What is the hundreds digit of 745? 7 What is the tens digit of 8663? 6 What is the units digit of 56405? 5 What is the ten thousands digit of 26289? 2 What is the hundreds digit of 6700? 7 What is the units digit of 149694? 4 What is the hundred thousands digit of 129400? 1 What is the tens digit of 13001? 0 What is the tens digit of 10705? 0 What is the thousands digit of 2157? 2 What is the hundreds digit of 411? 4 What is the hundreds digit of 194? 1 What is the tens digit of 14516? 1 What is the units digit of 1253? 3 What is the hundreds digit of 135? 1 What is the thousands digit of 6801? 6 What is the ten thousands digit of 14924? 1 What is the thousands digit of 7792? 7 What is the thousands digit of 4400? 4 What is the units digit of 598? 8 What is the units digit of 2226? 6 What is the ten thousands digit of 51470? 5 What is the hundred thousands digit of 121577? 1 What is the hundreds digit of 92382? 3 What is the thousands digit of 16060? 6 What is the tens digit of 199? 9 What is the units digit of 1423? 3 What is the tens digit of 6979? 7 What is the tens digit of 43043? 4 What is the thousands digit of 9895? 9 What is the hundreds digit of 265? 2 What is the hundreds digit of 27937? 9 What is the units digit of 853? 3 What is the units digit of 73? 3 What is the tens digit of 1722? 2 What is the units digit of 481? 1 What is the tens digit of 8890? 9 What is the hundreds digit of 433? 4 What is the ten thousands digit of 14955? 1 What is the units digit of 1046? 6 What is the units digit of 7887? 7 What is the hundreds digit of 51363? 3 What is the units digit of 4949? 9 What is the hundreds digit of 347? 3 What is the units digit of 42436? 6 What is the thousands digit of 3494? 3 What is the thousands digit of 3336? 3 What is the thousands digit of 11238? 1 What is the units digit of 6567? 7 What is the units digit of 79033? 3 What is the units digit of 617? 7 What is the units digit of 987? 7 What is the ten thousands digit of 18665? 1 What is the hundreds digit of 153? 1 What is the hundreds digit of 1256? 2 What is the units digit of 3182? 2 What is the tens digit of 1975? 7 What is the units digit of 2000? 0 What is the thousands digit of 1402? 1 What is the thousands digit of 30991? 0 What is the units digit of 203834? 4 What is the hundreds digit of 2025? 0 What is the hundreds digit of 6503? 5 What is the units digit of 80598? 8 What is the units digit of 92495? 5 What is the units digit of 125812? 2 What is the hundreds digit of 2945? 9 What is the hundreds digit of 29280? 2 What is the hundreds digit of 51261? 2 What is the thousands digit of 11109? 1 What is the thousands digit of 13749? 3 What is the hundreds digit of 5689? 6 What is the hundreds digit of 65220? 2 What is the thousands digit of 3416? 3 What is the hundreds digit of 42024? 0 What is the tens digit of 242? 4 What is the tens digit of 7394? 9 What is the units digit of 12598? 8 What is the ten thousands digit of 27557? 2 What is the ten thousands digit of 11396? 1 What is the thousands digit of 5691? 5 What is the units digit of 1571? 1 What is the thousands digit of 4875? 4 What is the units digit of 131? 1 What is the thousands digit o
{ "pile_set_name": "DM Mathematics" }
107)? -86 (-1 - -109 - 147) + 14 -25 Evaluate (-23 - 85) + -49 - -89. -68 Calculate -102 + 77 + -23 - -107. 59 (-20 - (-2 - -2) - -2) + 75 + -73 -16 What is the value of -82 + 62 + -185 - -67? -138 What is (90 - (31 + -25)) + -45? 39 Evaluate -7 - (10 - 25) - (-4 - -71 - (-1 - 1)). -61 Evaluate -1215 + 1233 + (-9 - 0). 9 What is the value of -54 + (16 - (24 - -1) - -21)? -42 What is the value of 62 - (106 + -165) - 33? 88 What is (154 - 407 - -111) + (16 - 1)? -127 Calculate (0 + 0 - ((-386 - -355) + 29 + -1)) + -11. -8 46 + -68 + ((2 - -3) + 7 - 2) + 23 11 Calculate (32 - 25 - (13 - -3)) + 5 - (25 + -18). -11 (37 - 22) + 8 + 8 31 What is the value of 10 + (10 - -3) + 9 + -25 - -22? 29 Evaluate (-40 + 100 - 62) + 0 + -14 - 72. -88 Evaluate -6 - (-26 + 14 + -4) - (2 - 5 - -22). -9 What is -62 + 1 + 6 + 2 + 13? -40 61 + 14 + (-88 - -36) 23 What is the value of -24 - -12 - (14 - (4 + -8))? -30 What is the value of 20 - (-94 - (-132 - 1))? -19 What is (-12 + -10 - 60) + 141? 59 What is the value of (-3 - -2 - (-12 - 1)) + 191074 + -191219? -133 What is the value of 0 - (-11 - (-3 - 6) - 22)? 24 -174 + 95 + (0 + -1 - -17) -63 Evaluate (55 - -75) + 121 + -121. 130 What is (-24 - (-25 - 17)) + -57 + -23? -62 57 - ((-14 - -1) + 196 + -177) 51 What is -50 - ((3 - 12) + (16 - 11 - -8))? -54 What is (-2 - -87) + (233 - (295 - 41))? 64 Calculate -622 + 631 - (-1 - (5 - 3) - 29). 41 Calculate -38 + 3 + -22 + -16 + -26. -99 (59 - 88 - -62) + -135 -102 What is -23 - ((18 - 14) + -9) - -9? -9 (69 + -155 - -55) + (68 - -1) 38 Evaluate -501 + 497 + (0 - -35) + 8. 39 -91 + 80 + (5 - 5) + 9 -2 55 + (-6 - (-1 + 15 - 6)) 41 What is the value of -29 + 0 - (-278 - -354) - -19? -86 What is -16 + (19 - (7 - 7 - -6)) + 0? -3 What is the value of (40 + -28 - -79) + -23? 68 Evaluate 20 + (1 - -2) - (10636 - 10626). 13 Evaluate (-1 - 6) + (-18 + 4 + -2 - -18). -5 Calculate -36 - (8 - 21 - 2) - -64. 43 -126 - -117 - (-5 - -3) -7 What is the value of (30 - 19) + 1 + (1 - 12)? 1 Evaluate 26 + (-228 - -88 - -87). -27 -30 - (-11 + -57 + 34 + 48) -44 What is the value of -146 - (42 + (-54 - 69))? -65 What is 6 + (-10 - (14 + -16)) + (-24 - -3)? -23 (48 - (79 + 25)) + 23 -33 What is -26 - (-27 - (24 + 34))? 59 Calculate 13 + -1 - (1 + 102 + (-35 - (-29 + -2))). -87 What is the value of -97 - (96 + -115) - 17? -95 Calculate (4 - 17) + -1 + 2 + 2. -10 -10 - (1 + 0 - -61 - (-2885 + 2893)) -64 (57 - 56 - (4 + 4 + 1)) + -1 + -28 -37 What is the value of 4 - (-404 + 385 - (1 + (-11 - 1)))? 12 Calculate 114 + -84 + -13 + 2 + -5. 14 -17 - ((71 - 63) + 0 + -78) 53 What is the value of 35 + 40 + 0 + 15 - -3? 93 What is the value of 1381 + -1385 + 6 + 1 + 1 + 2? 6 Calculate -7 - ((-7 - (-11 - -31)) + -4 + -7). 31 What is 8 + -122 + (5 + 15 - -9) + -16? -101 What is the value of -6 - (1 + -17) - ((52 - -52) + -160)? 66 What is 36 + (-4 + 33 - 27)? 38 16 + -11 + (16 - 2 - 13 - -3) 9 (34 + (7 - 13) - 1) + -11 - 48 -32 What is (-61 - -37 - -2) + (-13 - -2)? -33 Calculate 46 + -38 - (-58 - -82). -16 51 + -92 + (0 - (1 + 18)) - 18 -78 Calculate ((-4 - 1) + 27 - 120) + 22. -76 Calculate 10 - -11 - 6 - (5 + -8 + 4). 14 Calculate -11 + 1 - (136 + (-10 - (32 + 12))). -92 What is -1 + 1 + 3 - 52 - (-1 - (2 - -3))? -43 What is -16 + (86 - 98) + (-2 - -1)? -29 What is the value of (141 - 49) + -117 + 58? 33 Evaluate -6 + (4 - -4) - 13 - 81 - (25 + -25). -92 Calculate (0 + 3 + 3 - (4 - 25 - 16)) + -5. 38 0 - -16 - (37 + -22 + 15 - 24) 10 Calculate (483 - 470) + 3 + 19. 35 What is 25 + (8 - 140) - (26 + -9 + -22)? -102 What is -6 + 6 + -8 - (-11 - (-11 + -20 - -16))? -12 Evaluate (-20 - -2) + (2132 - 2072). 42 Calculate (1 - (-1 - -2)) + 1 + -36 + -1513 + 1547. -1 What is -40 + (0 - -1) + 2 - (6 + 5)? -48 What is (36 + -54 - -49) + -34? -3 What is the value of (-11 - -69) + 33 + -24 + -25 - 24? 18 Calculate 6 + (-10 - (58 + (12 - (-1 - -13)))). -62 Calculate -155 - (43 + -128) - -121. 51 What is the value of 6 - (-17 - 13) - 98 - (-1 + -2 - -1)? -60 Calculate 75 - (6 + 1 + -219 + 194). 93 Calculate 59 + (-24 - (-50 - -51)). 34 44 - (4 - 32 - -56) - -94 110 What is the value of (-41 - (39 + 26 + -40)) + 23? -43 Calculate (14 - 1) + (-12 - 12 - 5) + 44. 28 What is (-2 - (1 + 5)) + (-66 + 114 - -21)? 61 Calculate 62 - (-2 - -1 - (-13 - (-23 - (-24 + 10)))). 59 What is the value of -2 + 2 + -10 + (-30 + 108 - 50)? 18 8 + 10 - (21 + -8 + -4) - -17 26 What is the value of 18 + (9 - (34 + (17 - 17) + -8))? 1 Evaluate 119 - (268 - (-9 + 145)). -13 Evaluate (11 - 4) + -19 + (8 + 2 - (74 - 5)). -71 Evaluate (22 - (-38 + 94)) + -22. -56 What is 1 + (-34 - -39) + ((8 - 5) + -2 - 27)? -20 Calculate -7 - (-45 - -68) - -12. -18 (34 - 19 - 6) + (23 - -34) + 1 67 What is the value of -3076 + 3042 + -2 + (-3 - (2 - 3))? -38 What is 39 - (64 - (30 - -77))? 82 What is 3 + 32 - (470 + -446) - 65? -54 What is 5 + 3 + (-419 - -464)? 53 What is the value of -32 - -5 - (-43 + 14)? 2 Calculate 25 + -26 - -5 - 62. -58 6 + -44 + -5 + (11 - (-12 + 7 + 3)) -30 What is the value of 2 - (-13 - ((-43 - -7) + -5 + 11))? -15 Evaluate (8 - ((41 - 35) + (0 - -5))) + -55. -58 What is the value of -72 + (42 - (-43 - -29))? -16 What is the value of 10 - (68 - 11) - -85? 38 What is -9 + 30 - (11 + (-18 - -18) + -11)? 21 -88 - (82 - 182) - (1 + -16) 27 (-137 - -170) + -97 - (1 - 30) -35 What is the value of 5 + 1 + 11 - (6 - (-2 + (2 - -3)))? 14 What is the value of -53 + 25 + 56 + -40? -12 Evaluate (-25 - 72) + -6 + 10 + (1 - 18) + -7. -117 31 + -42 + 22 + 13 + -2 22 What is the value of (-9 - -5 - 26 - -13) + (33 - -87)? 103 -32 - ((20 - 44) + 14 + -25) 3 (80 + -56 - -5) + -20 - (-2 + -14) 25 Evaluate 5 + -3 - -5 - (740 - 688). -45 What is (7 - -56) + -41 - 34? -12 What is the value of (-6 - 9) + (-8 - 7) + -1 + -14? -45 Evaluate -9 - (10 - (-15 - (10 - (-8 + 14 - -38)))). 0 Evaluate -18 - (16 + -38) - (24 + -13 - 3). -4 -3 - (-18 + 3) - (42 + (-7 - 7 - 17)) 1 What is -83 - ((12 - 20) + 23)? -98 Calculate -28 + 0 + -7 + (29 + -27 - -10). -23 Calculate (-124 - (-215 + 61)) + 17. 47 Calculate (-6 - (-17 + -2)) + -18 + 20 + -14. 1 Calculate -35 + (15 - -65) + -25. 20 Evaluate 76 - (-62 - (-59 + -72)). 7 What is the value of 355 + -301 + -17 + -7? 30 What is (-3 - -19) + (-43 - -41) + 2 + -2 + 2? 16 What is the value of -22 - (3 + 20 + (0 - (-2 + -14)))? -61 3 - (100 + (-26 - -8)) - ((-1 - 0) + 2) -80 (-35 - (-11 - 43)) + 9 28 What is the value of (89 - 30) + -387 + 195? -133 -6 + 1 + 20 + -8 7 18 - (-40 - (-4 - 20)) 34 What is -376 - -372 - (-39 + (-1 + 1 - -3))? 32 What is (45 - 33) + 11 - 140 - -29? -88 Evaluate 46 + (24 - (10 + 18)). 42 27 - (9 + -21 + 9 - 2) 32 (-17 - 9 - 30) + 46 -10 Calculate (66 - -23) + -11 - 46. 32 -5 - (142 + -8 + -39) - -47 -53 Calculate (22 - 19 - (-2 - -7)) + 131 + (13 - 11). 131 Calculate 21 + (53 - (4 + 24)) - 38. 8 Calculate 45 - ((657 - 662) + (1 - 14)). 63 Evaluate -3 + -2 + 64 + -10 + 1 - (-19 - -22). 47 What is -20 - (-34 + 7 + -3 + 13 + 40)? -43 Evaluate (-5 + -1 - (395 + -333) - (-2 - 7)) + -1. -60 What is the value of (-7 - -23) + 17 + (1 - 24) - -129? 139 18 + -51 + 5 + 51 23 What is (82 - 87) + -3 + (-2 + 0 - -63) + -2? 51 What is the value of 28 + -1 - (8 - -6 - (14 + 5 + -8))? 24 What is the value of (-3 + 1 + (62 - 58) - (30 - 18)) + 74? 64 What is (4 - (10 + -14)) + -5 + 0 + 8? 11 What is the value of 31 + (4 + -36 + 46 - (11 - 2))? 36 Calculate 13 - ((-4 - 1) + -24 + 45 - (0 + -7)). -10 Calculate -31 - (24 + -38) - (1 - -18). -36 Calculate -12 + (24 - 24) + (-59 - -15). -56 Evaluate -41 + (58 - 67 - (-12 + -4)). -34 What is the value of 3 + -1 + 3 - (50 + -7 - -12)? -50 What is the value of (-4 - -4) + 3 + -22 + -17 + 8? -28 ((390 - 249) + (0 - 14) - (-16 + 14)) + 4 133 What is 49 - (-18 + (-4 - (22 - (13 + 15))))? 65 (9 + (24 - 13) + -22 - 0) + (-3 - -12) 7 Calculate 159 + -172 + (12 - (1 - -3)) - 4. -9 83 - (-65 - -68 - (27 + -6)) - (9 - 1) 93 Evaluate -17 + 1 + (87 + -88 - (13 + -1)). -29 What is the value of 12 + (-35 - 124) - -95? -52 3 - 2 - -19 - (80709 - 80723) 34 -30 + 106 - (33 - 25) - (2 - 4) 70 Calculate -59 + 29 + (-14 - -21) + -53. -76 What is the value of (103 - 52) + (-219 - -69)? -99 What is -61 + (4 - 5 - -5) - (-45 + 18 + 33)? -63 9 + (-8 - -8) - (68 + (-7 - -7)) -59 Calculate
{ "pile_set_name": "DM Mathematics" }
suming r is positive. r**(2090/21) Simplify (x*x*x**0/x)**(6/7)*(x**(1/3))**(4/27) assuming x is positive. x**(514/567) Simplify ((y**(2/7))**(-4/15)/(y**(1/5)*(y**(1/3)/y)/y*y))**(-5) assuming y is positive. y**(-41/21) Simplify x/(x*x*x**(2/5)*x*x)*(x**(8/7)/x)/x*x*x**(-10)*x*x*x/x**11*x*x assuming x is positive. x**(-674/35) Simplify (t**(-5)*t**7*((t/((t/(t*t**0))/t)*t*t*t)/t)**(-1/18))**(3/11) assuming t is positive. t**(16/33) Simplify ((c/c**(3/7))/c)**(-3/46)*(c/((c**(2/13)*c)/c)*c*c)/(c/(c**1*c)*c) assuming c is positive. c**(12031/4186) Simplify q**23/(q**(-15)*q)*(q*q/(q*q/q**(2/19))*q)**(-1/65) assuming q is positive. q**(45674/1235) Simplify ((m**12/(m/m**(2/49)))**(11/7))**(-17/6) assuming m is positive. m**(-101167/2058) Simplify ((c**(-11/4)/c)/c*c)**(-20)/((c/(c*(c**(-13/2)/c*c)/c*c)*c)/(c**31/c*c)) assuming c is positive. c**(197/2) Simplify (k**(3/2))**38/(k*k**(-6)/k*k**(1/5)) assuming k is positive. k**(314/5) Simplify (j**20)**(-5/14)/(j/((j/(j*j**(-1/37)))/j)*j/(j*(j**(-22)*j)/j*j)) assuming j is positive. j**(-7800/259) Simplify (a**(-28))**(-23)*a**(9/5)/a*a*a/(a**22/a) assuming a is positive. a**(3129/5) Simplify (w**(-2)*w)**(16/3)*w**12*w**(3/2) assuming w is positive. w**(49/6) Simplify s**(-6)*s*s**10*((s**(-1/18)*s)/s)/(s**(1/2)/s) assuming s is positive. s**(49/9) Simplify ((m**41/m)/(((m**(3/11)*m)/m)/m))**(-37) assuming m is positive. m**(-16576/11) Simplify ((i**(1/4))**(4/17)*i**(-4)*i**12)**(-2/3) assuming i is positive. i**(-274/51) Simplify ((v**0*v**1)/(v*v/(v*v**(-2))*v/v**4*v))**36 assuming v is positive. 1 Simplify (((i/i**(1/23))/i*i)**(4/13))**48 assuming i is positive. i**(4224/299) Simplify ((s**(17/4))**23)**(-45) assuming s is positive. s**(-17595/4) Simplify (z**(-1/11)/z**28)/((z*z**(-23))/z**33) assuming z is positive. z**(296/11) Simplify (u**(5/3)*u)/((u/u**(1/4)*u)/u)*u**(3/2)*u**(-4)/u assuming u is positive. u**(-19/12) Simplify (l**(3/4))**(3/17)/(l**10/((l*l**22)/l)) assuming l is positive. l**(825/68) Simplify (t**(2/23)/t)**(-15)*(t**(-11/3)*t)/t*t**15 assuming t is positive. t**(1727/69) Simplify (c*c/(c*c*c/(c/c**(-2/5))*c*c))**49*c*c*c/(c**(-3/10)*c)*c/c**(-3/5)*c*c assuming c is positive. c**(-145/2) Simplify (((j/j**3)/j)/j**(-6/5))/(j*j*j*j/(j**19*j)*j**(5/2)/j) assuming j is positive. j**(127/10) Simplify ((l**18/l)/l**(-22))**(-12) assuming l is positive. l**(-468) Simplify (z**(1/8)*(z/(z/(z/z**(2/19))))/z)/(z**8)**35 assuming z is positive. z**(-42557/152) Simplify (c**(-1)/c)**(18/11)/(c**(-2)/(c/((c**(-4/13)*c)/c))) assuming c is positive. c**(5/143) Simplify (l/l**13*l*l**(-12)/l*(l*l**(-3))/((l*l**(1/4)*l)/l))**(-41) assuming l is positive. l**(4469/4) Simplify (q**6)**36/(q**(-2/39)/q**(-13/5)) assuming q is positive. q**(41623/195) Simplify ((l**(-2/5)*l*l)**(-2/37)*(l**(2/7)*l)**(-18/5))**(-3/14) assuming l is positive. l**(9159/9065) Simplify ((t**(-9/4)*t*t/t**(3/7))/(((t/(t**(1/4)/t))/t)/(t**(2/3)/t)))**(1/7) assuming t is positive. t**(-37/147) Simplify (k/((k/k**(2/3))/k))**(-7/3)/((k*k**17)/k*k*(k/(k**16/k))/k) assuming k is positive. k**(-62/9) Simplify (l**3)**(3/7)/(l**7*l*((l/(l**8/l))/l)/l) assuming l is positive. l**(9/7) Simplify ((h*h**2)**(2/17)/(h**(-4)*h**(1/9)))**45 assuming h is positive. h**(3245/17) Simplify (((t**2)**(-36))**(-1/3))**(-11/6) assuming t is positive. t**(-44) Simplify ((k*k/k**28*k)/k*k/(k**(-6)*k))/((k*k**(-5))/k)**10 assuming k is positive. k**30 Simplify (h**(3/7)/(h/(h*h**21/h)))/((((h/(h*h/((h*h/(h*h**(-18)/h))/h)*h*h))/h)/h)/(h/(h**(-1/3)/h))) assuming h is positive. h**(184/21) Simplify ((b*b/(b/(b**(1/26)*b))*b)/b**11)**(-31) assuming b is positive. b**(6417/26) Simplify (((x*x**(-21)*x)/x)**(2/163))**47 assuming x is positive. x**(-1880/163) Simplify y/y**(-4)*(y**(-9)*y)/y*y/((y/(y/(y*y**12)))/y)*y*(y**18/y)/y assuming y is positive. y**2 Simplify (q*q**11)**21*q**(-6/7)*q**1 assuming q is positive. q**(1765/7) Simplify (o**(-4/3)*o*o*o/o**(1/6))/(o**(-12)*o/(o**(-1/2)/o)) assuming o is positive. o**11 Simplify (((w/w**(-3))**11)**(-8/9))**(-21) assuming w is positive. w**(2464/3) Simplify k**(-1/2)/k**(-1/18)*(k/(k/(k/(k/(k*k/(k/((k/(k/(k/(k**(2/41)/k))))/k))*k*k)*k*k)))*k)**(-2/9) assuming k is positive. k**(-406/369) Simplify (k**(2/17)*k)/(k/k**14)*k/k**(-11)*k/k**(-2/35) assuming k is positive. k**(16169/595) Simplify (y*y**7)**(-15)*(y/(y/y**(-3/17))*y)/(y/(y**(-1/12)*y)) assuming y is positive. y**(-24329/204) Simplify (b/(b/b**(2/5)))**(-20)/(b**7*b/b**(-3/7)) assuming b is positive. b**(-115/7) Simplify (v*v**0*v**8)/((v/(v*(v/v**11)/v)*v)/v*v)**(-2/39) assuming v is positive. v**(125/13) Simplify l**(-4/7)*l*l/((l/((l/l**(-2/23))/l))/l)*((l/l**(2/15))/l)**23 assuming l is positive. l**(-3746/2415) Simplify (f**9*f**6/f)/(f*f/(f/f**(-8))*f)**(18/11) assuming f is positive. f**(262/11) Simplify (r*r*r/((r*r*r**4*r*r)/r)*r/(r*r**(3/4))*r*(r*r**(-1/4))**(-1/26))**(-34) assuming r is positive. r**(6681/52) Simplify ((v*(v*v/(v*v/v**14))/v*v)**(-28/3))**7 assuming v is positive. v**(-980) Simplify (a*a*a*a**15)**7/(((a/(a*a**(-5/7)))/a)/a)**(-14) assuming a is positive. a**108 Simplify (x**3*x*x**(-5)/x*x/(x*x**(-2/7)*x)*x*x**7)**(3/23) assuming x is positive. x**(111/161) Simplify f**(3/11)*f*f/(f*f/(f/(f**(-26)*f)*f))*f*(f/f**11)/f**(-4/15) assuming f is positive. f**(3059/165) Simplify (w*w**(-6)*w*w)/(w**11*w)*w**9*w/(w**(-2/7)*w)*w*w assuming w is positive. w**(-26/7) Simplify ((g/(g**12/g))/(g*g*g**(1/24)))/(g**(-6)*g*g**(-2/29)) assuming g is positive. g**(-4853/696) Simplify (((l**(1/38)*l)/l)/((l/(l*(l**(19/5)/l)/l))/l))/(l**(-11)/l**(1/15)) assuming l is positive. l**(7919/570) Simplify (j**27*j)/(j/(j/j**(-13)*j))*(j**(-1/41))**(-16) assuming j is positive. j**(1738/41) Simplify (r/r**(2/9)*r*r)/((r*r**(4/5))/r*r)*(((r*r**(2/7))/r*r)/r)/(r*r**(-17)*r) assuming r is positive. r**(5123/315) Simplify (n**2)**(-4)/(n**4)**(1/4) assuming n is positive. n**(-9) Simplify (k**3/(k/(k/(k*(k/(k*k**(-31))*k*k)/k*k))))**(6/11) assuming k is positive. k**(-186/11) Simplify (i/((i/i**(2/13))/i))/i**(-1/9)*i**(-13)*i/(i/i**5) assuming i is positive. i**(-788/117) Simplify (k**(-10/11)/(k/k**(-2/7)))/(k**2)**(-14) assuming k is positive. k**(1987/77) Simplify (g/(g/(g*g**0*g)))**4/(g**(1/16)/g*g/(((g*g**13)/g)/g)) assuming g is positive. g**(319/16) Simplify (u*u**(10/3)*u)**(-8)/(u**9/u*u/(u/(u/(u/u**18*u)*u))) assuming u is positive. u**(-206/3) Simplify ((d*d/(d*d**8))/((d/(d/(d**(-5/3)*d)))/d))/(((d/(d/(d**(-5)*d)))/d)/d)**(-3/19) assuming d is positive. d**(-358/57) Simplify ((q**1/q**(-7))/((q*q/(q/q**(-2/17))*q*q*q)/(q/(q*q*q/(q/(q/(q**(-3)/q))))*q)))**40 assuming q is positive. q**(-600/17) Simplify (i/i**(-4))**(-4/17)/(i**(4/5))**37 assuming i is positive. i**(-2616/85) Simplify s**(-6/13)/s*s**(2/51)*(s/s**2)**(-1/28) assuming s is positive. s**(-25741/18564) Simplify ((b*b**(-2/15)*b/(b/(b**(-5)*b))*b)/(b**(1/2)/b*b**7))**(-21) assuming b is positive. b**(1813/10) Simplify (k**(3/7)/(k*k*k**(2/31)*k))**(-2/167) assuming k is positive. k**(1144/36239) Simplify (((y*y**3)/(y/(y/y**3*y*y)))/(y**0)**22)**13 assuming y is positive. y**39 Simplify x**(-1/42)/(x/(x*x*(x*x/(x/(x*x/(x*x*x*(x*x**(-1/14))/x*x*x))))/x*x))*(x**(-2/17))**(-4/11) assuming x is positive. x**(-3572/3927) Simplify (c/(c*c**20/c)*c/c**(1/4))/(c**5/((c*c**4/c*c*c*c)/c*c)) assuming c is positive. c**(-65/4) Simplify (k**2*k)**14*(k**(-1))**(-33) assuming k is positive. k**75 Simplify ((l*l*l*l/(l*l/(l**(-24)*l))*l)**(10/11))**(-12/11) assuming l is positive. l**(2400/121) Simplify (((o*o**0/o)/o*o)/o)**(-11/2)/((o/o**4)/o**(-12)) assuming o is positive. o**(-7/2) Simplify (a/(a**(-3)*a)*(a*(a/(a*a/a**4))/a*a)/a)/(a**(2/19)/a**(-22)) assuming a is positive. a**(-306/19) Simplify (j**(-1))**(-21/5)*(j/((j*j*j**(2/31))/j))**21 assuming j is positive. j**(441/155) Simplify b**13/b**27*(((b*b**(1/13))/b*b)/b)**(6/5) assuming b is positive. b**(-904/65) Simplify y**(3/11)/y*y**(-1/9)*y**(5/3)*y**10 assuming y is positive. y**(1072/99) Simplify (s**(-30)/s*s**23)/(s*s**(1/4))**14 assuming s is positive. s**(-51/2) Simplify (c**(-2/9)/c**(-8/7))/(c**(-17)/c*c**2) assuming c is positive. c**(1066/63) Simplify (u*u*(u*u**(5/3))/u)**(3/5)*(u*u*u*u**6*u)
{ "pile_set_name": "DM Mathematics" }
t is the tens digit of 107092? 9 What is the hundred thousands digit of 2621201? 6 What is the hundreds digit of 532579? 5 What is the ten thousands digit of 810657? 1 What is the ten thousands digit of 129260? 2 What is the hundred thousands digit of 232577? 2 What is the thousands digit of 169130? 9 What is the millions digit of 1321074? 1 What is the ten thousands digit of 1927403? 2 What is the units digit of 16902091? 1 What is the tens digit of 36881194? 9 What is the ten thousands digit of 287409? 8 What is the millions digit of 2504783? 2 What is the units digit of 8607337? 7 What is the hundreds digit of 143417? 4 What is the thousands digit of 4435? 4 What is the thousands digit of 621135? 1 What is the ten thousands digit of 687006? 8 What is the tens digit of 436578? 7 What is the ten thousands digit of 306117? 0 What is the tens digit of 728617? 1 What is the tens digit of 413254? 5 What is the ten thousands digit of 842774? 4 What is the ten thousands digit of 384008? 8 What is the units digit of 248958? 8 What is the hundred thousands digit of 145502? 1 What is the hundred thousands digit of 853199? 8 What is the tens digit of 2938211? 1 What is the hundred thousands digit of 2289386? 2 What is the hundred thousands digit of 523675? 5 What is the hundreds digit of 515120? 1 What is the units digit of 33199157? 7 What is the millions digit of 3933410? 3 What is the millions digit of 13876758? 3 What is the millions digit of 4257601? 4 What is the ten thousands digit of 2590707? 9 What is the units digit of 908124? 4 What is the tens digit of 734123? 2 What is the thousands digit of 10104897? 4 What is the ten thousands digit of 647473? 4 What is the tens digit of 2213222? 2 What is the ten thousands digit of 3843832? 4 What is the hundred thousands digit of 788072? 7 What is the hundreds digit of 72309? 3 What is the thousands digit of 1343517? 3 What is the thousands digit of 552504? 2 What is the hundreds digit of 15700529? 5 What is the millions digit of 17898253? 7 What is the thousands digit of 13523? 3 What is the ten thousands digit of 88855? 8 What is the units digit of 3699568? 8 What is the millions digit of 30383525? 0 What is the units digit of 857327? 7 What is the thousands digit of 192501? 2 What is the ten thousands digit of 357754? 5 What is the tens digit of 737606? 0 What is the hundred thousands digit of 3083034? 0 What is the hundreds digit of 4713852? 8 What is the thousands digit of 225458? 5 What is the thousands digit of 8383150? 3 What is the ten thousands digit of 150799? 5 What is the units digit of 30452095? 5 What is the ten thousands digit of 755992? 5 What is the units digit of 1133464? 4 What is the ten millions digit of 14112170? 1 What is the thousands digit of 6196? 6 What is the tens digit of 1064715? 1 What is the ten thousands digit of 155635? 5 What is the thousands digit of 607283? 7 What is the units digit of 312857? 7 What is the units digit of 1174706? 6 What is the hundred thousands digit of 399863? 3 What is the units digit of 2835327? 7 What is the units digit of 2307396? 6 What is the units digit of 449469? 9 What is the millions digit of 1621318? 1 What is the millions digit of 1057757? 1 What is the hundreds digit of 3120290? 2 What is the millions digit of 16928402? 6 What is the thousands digit of 4612507? 2 What is the thousands digit of 740655? 0 What is the tens digit of 545216? 1 What is the millions digit of 1325266? 1 What is the hundreds digit of 916112? 1 What is the ten thousands digit of 12977384? 7 What is the hundred thousands digit of 741988? 7 What is the ten thousands digit of 842825? 4 What is the tens digit of 886376? 7 What is the units digit of 2050192? 2 What is the ten thousands digit of 308341? 0 What is the millions digit of 1018194? 1 What is the units digit of 109528? 8 What is the ten thousands digit of 3013690? 1 What is the hundreds digit of 364525? 5 What is the thousands digit of 577350? 7 What is the thousands digit of 678330? 8 What is the units digit of 173995? 5 What is the units digit of 17359994? 4 What is the millions digit of 2721046? 2 What is the ten thousands digit of 1161171? 6 What is the tens digit of 1433676? 7 What is the ten thousands digit of 761576? 6 What is the tens digit of 1384542? 4 What is the units digit of 1416817? 7 What is the tens digit of 793145? 4 What is the tens digit of 24677? 7 What is the millions digit of 30182748? 0 What is the millions digit of 3448435? 3 What is the ten thousands digit of 1234309? 3 What is the units digit of 999867? 7 What is the units digit of 2350352? 2 What is the millions digit of 4891423? 4 What is the ten millions digit of 16298851? 1 What is the hundreds digit of 5945003? 0 What is the hundred thousands digit of 119752? 1 What is the units digit of 188887? 7 What is the hundreds digit of 531648? 6 What is the thousands digit of 6509008? 9 What is the thousands digit of 1291386? 1 What is the ten thousands digit of 415584? 1 What is the hundred thousands digit of 5863972? 8 What is the thousands digit of 3489078? 9 What is the tens digit of 24534665? 6 What is the tens digit of 164881? 8 What is the units digit of 1810125? 5 What is the ten thousands digit of 4580425? 8 What is the hundred thousands digit of 8078411? 0 What is the units digit of 114440? 0 What is the ten thousands digit of 10905606? 0 What is the thousands digit of 3182868? 2 What is the tens digit of 1653867? 6 What is the thousands digit of 5313044? 3 What is the ten thousands digit of 1017313? 1 What is the ten thousands digit of 23382384? 8 What is the ten thousands digit of 420855? 2 What is the ten thousands digit of 1722012? 2 What is the ten thousands digit of 147415? 4 What is the thousands digit of 255492? 5 What is the units digit of 166328? 8 What is the ten thousands digit of 39501? 3 What is the tens digit of 126869? 6 What is the hundreds digit of 5460977? 9 What is the ten thousands digit of 5671614? 7 What is the thousands digit of 866330? 6 What is the units digit of 2871989? 9 What is the ten thousands digit of 1074705? 7 What is the tens digit of 245357? 5 What is the units digit of 1467586? 6 What is the units digit of 817078? 8 What is the units digit of 766485? 5 What is the millions digit of 1331034? 1 What is the ten thousands digit of 1140298? 4 What is the tens digit of 1527151? 5 What is the units digit of 7127551? 1 What is the ten thousands digit of 10771200? 7 What is the ten thousands digit of 1583074? 8 What is the ten thousands digit of 1276327? 7 What is the hundreds digit of 282201? 2 What is the ten thousands digit of 912678? 1 What is the ten thousands digit of 1101460? 0 What is the ten thousands digit of 1695376? 9 What is the hundreds digit of 968463? 4 What is the hundred thousands digit of 7443215? 4 What is the units digit of 1919526? 6 What is the hundreds digit of 25959? 9 What is the ten thousands digit of 1430815? 3 What is the ten thousands digit of 222506? 2 What is the tens digit of 232150? 5 What is the millions digit of 1755492? 1 What is the hundred thousands digit of 5493011? 4 What is the tens digit of 6423251? 5 What is the ten thousands digit of 3982780? 8 What is the hundreds digit of 19641? 6 What is the units digit of 3193512? 2 What is the hundred thousands digit of 11953129? 9 What is the tens digit of 3730068? 6 What is the hundred thousands digit of 7773357? 7 What is the hundreds digit of 792259? 2 What is the units digit of 31881? 1 What is the hundred thousands digit of 990342? 9 What is the tens digit of 2896609? 0 What is the thousands digit of 118391? 8 What is the hundreds digit of 4974292? 2 What is the ten thousands digit of 1226887? 2 What is the units digit of 15908559? 9 What is the hundred thousands digit of 15639312? 6 What is the units digit of 55485? 5 What is the ten thousands digit of 524526? 2 What is the hundreds digit of 6589557? 5 What is the hundreds digit of 39742? 7 What is the hundred thousands digit of 788598? 7 What is the hundred thousands digit of 225230? 2 What is the thousands digit of 98341? 8 What is the hundreds digit of 255965? 9 What is the hundreds digit of 12044553? 5 What is the hundreds digit of 182820? 8 What
{ "pile_set_name": "DM Mathematics" }
n base 2, what is 10 - -101100? 101110 In base 2, what is 1110111 - -1000111? 10111110 In base 4, what is 21 + 133? 220 In base 4, what is -22 + -11212? -11300 In base 2, what is 1000011 - -11110? 1100001 In base 8, what is -707 - -1? -706 In base 16, what is -48 - f? -57 In base 16, what is 3a - 4? 36 In base 15, what is 3 - 280? -27c In base 3, what is 0 + 1120221? 1120221 In base 15, what is 39 - -6b? a5 In base 6, what is 31 - -22? 53 In base 4, what is 3 + 10031? 10100 In base 7, what is -64 + 2? -62 In base 2, what is 101 - -10101011? 10110000 In base 13, what is -2 + -10a9? -10ab In base 14, what is 1b + -5? 16 In base 8, what is -4 + 1273? 1267 In base 7, what is 1201 - -5? 1206 In base 7, what is 103 + 456? 562 In base 7, what is 356 + -3? 353 In base 16, what is -15 - -26? 11 In base 3, what is 1 + 12110000? 12110001 In base 13, what is -224 + -29? -250 In base 12, what is -268 - -15? -253 In base 4, what is -10 - -20101? 20031 In base 2, what is -111001110011111 - 11? -111001110100010 In base 2, what is 101 - -1100110? 1101011 In base 2, what is -100 - -1110011010? 1110010110 In base 16, what is 15e + -4? 15a In base 16, what is 4 + -1b2? -1ae In base 10, what is 13 + -825? -812 In base 2, what is -101001011 - -11? -101001000 In base 5, what is -1 + 1022? 1021 In base 9, what is 18 + 60? 78 In base 4, what is 102 + -21? 21 In base 2, what is 10 + 1001000110? 1001001000 In base 8, what is 316 + 2? 320 In base 16, what is 1 + -77? -76 In base 5, what is -10 + 121103? 121043 In base 11, what is -9 - -35? 27 In base 3, what is 11 + 20022? 20110 In base 4, what is -3110303 - -2? -3110301 In base 3, what is 20 - 2000001? -1222211 In base 5, what is -13 + 3132? 3114 In base 11, what is -21 + -17? -38 In base 2, what is -100 + -110010011? -110010111 In base 10, what is -184 + -9? -193 In base 7, what is 34 - -160? 224 In base 10, what is 142 - -5? 147 In base 12, what is -96 + -1a? -b4 In base 2, what is -1 + -101101111100? -101101111101 In base 16, what is 2b - -2? 2d In base 3, what is 1 - 2101? -2100 In base 12, what is 11 + -585? -574 In base 12, what is 1 - 29? -28 In base 14, what is -8c4 + 3? -8c1 In base 7, what is -4654 - 5? -4662 In base 5, what is -423 - 2? -430 In base 13, what is -3 - 48a? -490 In base 6, what is 1 - -4? 5 In base 15, what is -7 + -72? -79 In base 2, what is 0 + 10011000? 10011000 In base 11, what is -1 + 334? 333 In base 8, what is 0 + 224? 224 In base 2, what is 110010 + -100? 101110 In base 4, what is -113 - -321? 202 In base 9, what is -23 + -1? -24 In base 6, what is 142 - 1052? -510 In base 13, what is -356 - 5? -35b In base 4, what is 3 + 223? 232 In base 14, what is -6 - 48? -50 In base 8, what is -13 + -1666? -1701 In base 3, what is -121001 + 122? -120102 In base 16, what is b01 - -4? b05 In base 10, what is -2 - -1861? 1859 In base 7, what is -1506 + -53? -1562 In base 9, what is -3 + 2031? 2027 In base 11, what is 221 - 0? 221 In base 6, what is 23 - -2200? 2223 In base 6, what is 1 - -53? 54 In base 6, what is -15241 - 3? -15244 In base 7, what is 0 + 1222? 1222 In base 2, what is 1001000001 + -100? 1000111101 In base 4, what is 10123 + -3? 10120 In base 6, what is 3 + 123? 130 In base 12, what is 3bb - 0? 3bb In base 8, what is 22 + -56? -34 In base 2, what is -1011 + -101100? -110111 In base 12, what is 1 + 28? 29 In base 7, what is 1143 - -2? 1145 In base 8, what is -63 - 237? -322 In base 6, what is 0 + 104? 104 In base 5, what is -140 - -1? -134 In base 10, what is 75 - -8? 83 In base 4, what is 123 - 300? -111 In base 15, what is 17 - 44? -2c In base 11, what is 3 - -58? 60 In base 14, what is -17 + 6? -11 In base 7, what is 6 - -256? 265 In base 4, what is -1313132 - 3? -1313201 In base 11, what is -36 - -6? -30 In base 8, what is -4 - 1? -5 In base 3, what is -10210 - -101? -10102 In base 9, what is 0 - 3163? -3163 In base 15, what is 2b + -5? 26 In base 16, what is -2b - -d2? a7 In base 15, what is -4 + e46? e42 In base 12, what is -19a + 2? -198 In base 5, what is 33 - 10? 23 In base 12, what is 9 + -88? -7b In base 5, what is 33 - 4? 24 In base 10, what is -2 + 110? 108 In base 16, what is -45 + c? -39 In base 11, what is 526 + -4? 522 In base 13, what is -5 - 83? -88 In base 11, what is -3 + -10? -13 In base 6, what is -3 + -445? -452 In base 3, what is 10202 + -2? 10200 In base 13, what is -45 - -3? -42 In base 11, what is 562 - 5? 558 In base 11, what is -27 - 15? -41 In base 12, what is -265 + 34? -231 In base 16, what is 329 - -5? 32e In base 10, what is -220 - 7? -227 In base 2, what is 11 + -110100111? -110100100 In base 11, what is 8 - 5? 3 In base 11, what is -25 - 3? -28 In base 2, what is 101 + 10010101110? 10010110011 In base 3, what is -10 + 200111? 200101 In base 4, what is 32 + 132? 230 In base 14, what is 3 - 124? -121 In base 14, what is -9 - -ca? c1 In base 3, what is 122222 + 1002? 201001 In base 16, what is -1 + -66? -67 In base 3, what is -1200110 - -21? -1200012 In base 12, what is -1484 - 1? -1485 In base 5, what is -110031 + -3? -110034 In base 6, what is -54 - -103? 5 In base 6, what is 10055 - 0? 10055 In base 15, what is 67 + 1e? 86 In base 13, what is 12 + -4? b In base 13, what is 5 + -1689? -1684 In base 4, what is -12031 + 3? -12022 In base 15, what is 4992 + 0? 4992 In base 15, what is -2a3a + 3? -2a37 In base 13, what is -4 - 55? -59 In base 8, what is 5 - -5277? 5304 In base 12, what is 1 - 122? -121 In base 5, what is 32 - -44? 131 In base 11, what is -4 + 265? 261 In base 11, what is -3 + -749? -751 In base 8, what is -1 - -33? 32 In base 14, what is -3 - ba? -bd In base 13, what is 124 + 2? 126 In base 2, what is -1000001 + 1011? -110110 In base 10, what is 1 + 20? 21 In base 9, what is 7 - -762? 770 In base 12, what is -38 - -105? 89 In base 6, what is -10413 + -2? -10415 In base 13, what is -434 + 5? -42c In base 2, what is 111010 + -1001101? -10011 In base 4, what is 102 + -330? -222 In base 14, what is 26 - 3? 23 In base 9, what is -183 + 2? -181 In base 2, what is -11101101010 + 1? -11101101001 In base 4, what is 1013 + -2? 1011 In base 9, what is 16817 - -4? 16822 In base 13, what is -b + 11? 3 In base 2, what is 1101011 - 1010101? 10110 In base 12, what is -2064 + 2? -2062 In base 5, what is -3 - -2233? 2230 In base 10, what is -5808 - 5? -5813 In base 10, what is 447 - -21? 468 In base 10, what is 4 - -5027? 5031 In base 5, what is -42 - -10? -32 In base 11, what is 678 - 6? 672 In base 12, what is 3 - -4045? 4048 In base 3, what is -220020 + -21? -220111 In base 4, what is -1 + -22? -23 In base 4, what is -12103 + 1? -12102 In base 10, what is -15 - 0? -15 In base 4, what is -1002 - -23? -313 In base 9, what is -5 + -148? -154 In base 15, what is 89 + 5? 8e In base 15, what is -3 + 10? c In base 7, what is 161 - -3? 164 In base 16, what is -3 - -ba? b7 In base 11, what is -1 - -215? 214 In base 14, what is -6a + 46? -24 In base 12, what is 1b + 85? a4 In base 6, what is 20 - -15? 35 In base 3, what is 2012021202 + -10? 2012021122 In base 2, what is -1110010 - 110011? -10100101 In base 10, what is 2 - 16? -14 In base 5, what is 341 - -2? 343 In base 8, what is -4 + 76? 72 In base 10, what is -64 + 122? 58 In base 13, what is -266 + 1c? -247 In base 5, what is 4140 + -22? 4113 In base 5, what is -34422 + -4? -34431 In base 5, what is -1 - -311? 310 In base 8, what is 414 + -5? 407 In base 8, what is -103 - -124? 21 In base 3, what is -11 + -12110121? -12110202 In base 6, what is -4 - -25052? 25044 In base 16, what is -190 + 33? -15d In base 9, what is 55 - 22? 33 In base 5, what is -2 - 2001? -2003 In base 12, what is -4 + 1404? 1400 In base 12, what is 4 - -359? 361 In base 15, what is c1 + -2? be In base 2, what is 101 + 1010011001? 1010011110 In base 16, what is -2 + -48? -4a In base 10, what is 437 - -2? 439 In base 14, what is 5 + -22? -1b In base 11, what is 8 + -2a? -22 In base 12, what is 5 + -64a? -645 In base 13, what is -54aa - 1? -54ab In base 2, what is -11 - 1010? -1101 In base 9, what is 1058 - -3? 1062 In base 2, what is 1 + 100001? 100010 In base 16, what is 28f + -6? 289 In base 16, what is -d5 + 2? -d3 In base 12, what is -266 - -11? -255 In base 9, what is -14 + -44? -58 In base 7, what is 6 + -2344? -2335 In base 11, w
{ "pile_set_name": "DM Mathematics" }
*-7. -1/21 What is the value of ((-176)/33)/(2/((-20)/((-160)/(-24))))? 8 (920/(-322))/(1 - (-244)/(-224)) 32 Calculate (-62 + 1 - -3) + (24 - (-45 - -63)). -52 What is the value of 3/8 - (-136710)/(-317520)? -1/18 Evaluate (-118 - 14499/(-162)) + (-5)/2. -31 -77 + (-3108)/(-140) + 51 -19/5 What is the value of ((-792)/(-56))/((-9)/(-35)*(-815)/(-489))? 33 5/(-71)*(1034/(-55))/(-47) -2/71 What is (553/(-34760) + (-6)/(-66))/(3/48)? 6/5 Evaluate (147/(-60)*1308/(-763))/(3/(-3)*-6). 7/10 What is 2*9*(-13)/702*-8*(-42)/4816? -1/43 Evaluate ((-28)/126)/(104/702)*(-1 + 1 + -3). 9/2 What is 25 - (9/15)/(261/10150)? 5/3 What is the value of (-5 + 0)/((0 + (-16 - -13))/(21/21))? 5/3 What is the value of 3*37/185*(-2)/(-11)*1100/660? 2/11 Calculate ((-10)/(-348))/((-3725)/26820). -6/29 Calculate (-18)/(-12)*46*((-8)/6)/2. -46 What is the value of 5250/3150*12/2070? 2/207 What is the value of 136 + (-2101 - 59)/36? 76 Evaluate (-1)/(42/(-8) - (-112)/16) - (-36)/252. -3/7 What is (-35)/(-4550)*-20*624/(-15)? 32/5 Evaluate (-14)/(-21)*(-8541)/(-146). 39 (247 - -2)*130/(-90545)*28 + 10 -2/199 Evaluate (-26)/(-52) - (24795/38)/(-15). 44 Evaluate (-11)/(132/(-42)) + (-5)/25*25. -3/2 Evaluate (636/689)/((-3432)/(-507)). 3/22 Evaluate (-1281)/122*(18 + -16). -21 What is 49543/(-5665) - (-6)/11 - -9? 4/5 ((-177)/118)/(17/102) -9 (191/5 + -36)/((-45)/(-900)) 44 Calculate (1043 + -1040)*(-4 - (-50)/3). 38 What is the value of (-56)/(-98)*27/36*-2*(-1)/(-9)? -2/21 Evaluate (-1952)/104 + (-405)/1755. -19 Evaluate (2 + (-72)/28 + (-9695)/(-16905))/((-2)/(-12)). 2/161 Evaluate 131/(-15)*5 + (-5)/(-2)*64/96. -42 What is (-69*36/(-2760))/(8/30)? 27/8 Calculate (5094/3962)/(198/4). 2/77 What is the value of (-7 - -1) + (171/(-153) - (216/(-102) + 2))? -7 What is the value of (27/(-270))/(1440/450)? -1/32 Calculate 21440/(-19296)*(-297)/6. 55 Calculate 5*(12/(-66) - 48*(-11)/242). 10 Evaluate -6 + (-140)/(-25) + (-23)/((-1150)/(-1180)). -24 Evaluate (-102)/119*518/3*(-12)/(-16). -111 Evaluate ((-50)/9)/(136/(-918)*42/56). 50 What is (-8 + 2104/260)/(((-12)/(-20))/1)? 2/13 (-16 - (-12456)/774)*9/(-36) -1/43 (11/(6 + 5))/((-1546)/(-86) - 18) -43 What is (187 - 186)/(((-2)/(-3))/((-630)/1701))? -5/9 What is the value of (-14)/(-6)*(493767/1743 - 284)? -5/3 19/(171/(-2232))*(2272/(-256) - -9) -31 (-197835)/7630 - ((-3)/2 + 66/42) -26 -8*(-13650)/(-6384) - -17 -2/19 What is the value of 75 + 124974/(-1643) + 6/93? -1 What is 16 - (-49 + 57) - (-145)/(-18)? -1/18 What is -11 - (4 + -18 + 16/8) - 7? -6 Evaluate (-23434)/(-70302)*((-214 - 1) + 2). -71 Calculate -14*((-27)/162)/((-12)/(-36)). 7 What is the value of ((-8)/4)/(612/51*(-5)/(-10))? -1/3 Evaluate 4352/(-96) + 3 + ((-560)/(-21))/(-10). -45 560/(-400) + (-212)/(-5) 41 Evaluate (12 - 21)/((-24)/144*-306). -3/17 What is the value of -20*(-6)/400*(2/5 + 4305/(-450))? -11/4 Calculate (-6)/(-60) - 9460/600 - -11. -14/3 Evaluate -10*76/3800*-495. 99 What is the value of (-2*25/(-35))/(153178/5278 - 29)? 65 What is the value of 4/528 - 14565266/782760? -93/5 What is ((-8008)/105)/(-22) + (25/45)/((-1)/3)? 9/5 What is the value of -47 + -44 + (-12528)/(-162)? -41/3 (-7)/(18783/288 + -65) -32 -413 - -486 - (70 + 0)/7 63 Evaluate 7638/(-27132)*-374 - 109. -26/7 What is the value of (-79275)/3624 - 75/(-40)? -20 Evaluate (4/5)/(-93*(-61)/11346). 8/5 Evaluate (-1)/((-2 + 4)*(-2430)/(-10260)). -19/9 What is the value of 0 + (36/24)/((-12)/10) - 3419/52? -67 (8800/4235 + (-8)/22)/((-4624)/6664) -42/17 -8*14/14 + -1 + -1 + -4 + 20 6 What is the value of (-2 - -182)*(23958/(-297) + 81)? 60 Evaluate (-824)/(-11) - ((-522)/(-783))/(77/105). 74 -20*(-41 - (-20944)/510)*9/158 -6/79 (((-32)/18)/(-4) + (-133897)/4626)*(13 + -11) -57 Calculate 1*(-1258)/85 - (186/45 - (-200)/(-60)). -78/5 Evaluate (42306/2564)/(2/(4*-1)). -33 (-4660)/1631 - 485/(-35) - -90 101 Calculate (-2597)/(-23) - 11408/(-131192). 113 ((2 + 37)*13/39)/(-8) -13/8 Evaluate 40 + -58 + (-232)/29 + (-757)/(-29). 3/29 Evaluate (-211)/(336545/(-870)) - (-1088)/22. 50 Calculate (9/4*229/(-2748))/((-186)/(-8)). -1/124 What is 139 - 230*(-170)/(-782)? 89 (1725 - 1712) + -2*323/50 2/25 What is (7583/15166)/(1/(-130))? -65 Calculate (-1945)/(-15171)*54/30. 3/13 What is the value of (-8)/292 - ((-9932)/146 + 44)? 24 ((-508)/(-52) - (-1800)/(-2340))/(1 - 2) -9 Calculate (-378)/(-1176)*-14*4/96. -3/16 Calculate ((14356/333 - 24) + -19)*549. 61 What is 4 + -32 + 13 - (-23 - (-984)/126)? 4/21 What is 191/((-67805)/(-852))*1/18? 2/15 What is the value of (161/69)/((-6)/18)*(-80)/(-28)? -20 ((40/15)/(-8))/((-21)/(-3) - 5194/735) 5 Calculate ((-728)/78)/(138/18 - 7). -14 What is 978/39 - ((-18)/1287)/((-4)/22)? 25 Calculate ((-1152)/(-1628))/3 - (-58)/(-319). 2/37 Evaluate (67892/9064 + 45/(-6))*(9/3 - 4). 1/103 What is the value of (-108)/(-520) - (-10230)/(-25575)? -5/26 (-142 + (-27930)/(-196))*(0/(-3) + 64) 32 Evaluate 1/8*(-97)/((-3783)/117). 3/8 What is the value of (1 - -30) + (-569327)/18434? 3/26 (18 - -86) + 12*(-17 - (-403)/26) 86 Calculate 740/(-1110) + (((-54)/(-12))/9)/((-3)/14). -3 Evaluate (1745/1047*(1 + (-2)/10))/((-1344)/9072). -9 Calculate (-4)/86 - 291384/5117688. -3/29 Calculate 4 + 3538/(-819) + 14/(-182) + (-2)/(-18). -2/7 What is 8/11 - (108 - (-41412)/(-957))? -64 (160/(-75))/((18/(-3))/90) 32 ((8/(-136))/((-99)/(-18) + -5))/(6/(-17)) 1/3 1/(-2) + 2 - ((-14200)/(-80))/5 -34 What is the value of (-177054)/1283 - 87/(-1)? -51 What is 52728/(-55770) + 4/10? -6/11 Calculate (-450)/495*(1961/185 - 37). 24 Calculate 258/(-190) - 7002/(-5835). -3/19 Evaluate (5 + -14)*(-41)/31857*-37. -3/7 What is the value of -2 + (((-4)/24)/(1/(-9)))/((-9)/582)? -99 What is (472/(-28) - -10)/(435/6090)? -96 What is the value of 1414/(-21) - (-2)/6? -67 -9 - (-3)/(10 + 2860/(-280)) -23 Calculate (112 + (-13860)/120)*((-656)/(-7))/(-4). 82 What is the value of (-3)/((-2)/(-8)*2) - (-347934)/57426? 1/17 Evaluate (-242)/5 - (-36)/2880*32. -48 What is 1*(1295/(-35) + 38)*37? 37 Evaluate 5/(260/(-692)) - 128/(-416). -13 -37 + 3 - (-91)/((-1183)/260) -54 What is (1168/(-280) - -4)/(2364/5910)? -3/7 Evaluate (5637/15032)/(6/(-68))*(-3 - 1). 17 Calculate 616/42 - (-16)/(-15 + 63). 15 What is (-8200)/(-280) + -55 + 26 - (1 - 1242/1778)? -2/127 What is ((-1746)/1940)/(6/(-8))*340/(-12)? -34 What is (-8)/(-160) - 46128/960? -48 What is (2832/14160)/((-7)/10)? -2/7 Calculate ((-1582)/(-4))/((-24035)/(-110) + -222). -113 Evaluate 117/(-5)*(-6 - -1)/(313/(5947/(-114))). -39/2 What is the value of (((-6888)/30)/7)/(-1)*-15*(-32)/(-1920)? -41/5 Calculate ((-3979)/(-115) - 36) + 6*(-3)/(36/(-16)). 33/5 Calculate (4 - (-217)/(-62))*(-140)/(-2). 35 Evaluate (-29928)/774*12/(-16). 29 Evaluate -418*(-6)/4920 - (630/1148 + 68/(-1394)). 2/205 23 - -5 - (29 - 170/68) 3/2 What is the value of (2/(-14) - 24522/(-1281)) + -23? -4 Calculate 156/(-18304)*-2*16. 3/11 What is the value of 2082/(-244) - 1020/(-120)? -2/61 Calculate (-12 + 15)/((-1794)/161 - -11). -21 What is (48/(-984) - (-2884)/287) + (-678)/48 + 3? -9/8 What is (26/258)/(13975/9675)? 3/43 What is the value of (8 - 2)*(-84)/24 - (1 + -127)? 105 Evaluate (-104)/(-52) - (18450/560 + -31). 3/56 Evaluate 1090/(-218) - -1*(-6 - -3). -8 3377/(-10131) + 6/8 + 2276/(-48) -47 5 - ((-122 - -46) + -12) 93 Calculate (8 - -2)*14/(-16)*(-65056)/8132. 70 Evaluate (-3440)/(-75) + -11 + (11 - 38/(-285)). 46 Evaluate ((-119)/(-21) + -9)*37/7030. -1/57 What is 150/350 + 792/28*13/52? 15/2 -38 + -39 - (29 + -54) -52 Evaluate (-430652)/(-906)*24/184. 62 Calculate (-376)/364 - 1340/(-2345). -6/13 Calculate (0 - 12) + 7 - ((-21)/9)/(5/60). 23 Calculate 3/10*(-3357680)/15792 + -1 + (-11)/(-14). -64 Calculate 110/6*(-1620)/900. -33 Evaluate (-1 + (-56)/(-6))/(1/(-2) - 4264/(-1968)). 5 Evaluate -15 + ((-130)/(-12) - (2424/48 + -50)). -14/3 1663/18293 - (1 + 10/44*-70) 15 109/37 + (-39 - -34)/(-6 - (-92)/12) -2/37 -2 - 228/22 - (-86 - (-129 + 56)) 7/11 Evaluate (-43)/(473/132) - 615/41. -27 What is the value of 10 + (-9 - 1328/(-144) - 119/(-153))? 11 ((-12)/(-8 + 7))/(18/72) 48 (16/(-12))/((-42)/(-9)) + 754/(-203) + -34 -38 (420/(-16) - -24)*20/(-165) 3/11 What is the value of (5 - 27) + 27 + 52 + 2? 59 What is ((-4)/24)/((-7473)/(-1908))? -2/47 What is the value of (1660
{ "pile_set_name": "DM Mathematics" }
26*m = 0. What is m? -2, 1 Let y(o) = -15*o**4 - 8*o**3 + 22*o**2 + 5*o - 16. Let i(j) = -105*j**4 - 55*j**3 + 155*j**2 + 35*j - 110. Let q(z) = -3*i(z) + 20*y(z). Factor q(x). 5*(x - 1)*(x + 1)**2*(3*x - 2) Find h, given that 400*h + 20*h**2 + 6178 + 15*h**3 - 20*h**3 - 5218 = 0. -4, 12 Let b(c) = 314*c - 5335. Let u be b(17). Factor -7/3*x**2 - 4 + 16/3*x + 1/3*x**u. (x - 3)*(x - 2)**2/3 Determine s so that -5*s - 65*s**3 - 55*s**3 + 10*s - 45*s**5 - 130*s**4 + 76*s**2 - 106*s**2 = 0. -1, 0, 1/9 Let y(z) = 11*z**2 + 32*z + 2. Let q be y(-3). Let v(w) be the third derivative of 1/9*w**3 + 0 + 0*w**4 - 3*w**2 + 0*w - 1/90*w**q. Factor v(i). -2*(i - 1)*(i + 1)/3 Find x such that -128625/2 - 156*x**3 - 58800*x + 3/2*x**4 + 5355*x**2 = 0. -1, 35 Suppose 47*s = -4*u + 45*s + 4, 4*s - 8 = u. Factor u - 1/4*l**4 + 0*l + 0*l**2 + 1/4*l**5 + 0*l**3. l**4*(l - 1)/4 Determine n, given that -1/2*n - 3/4*n**2 - 1/4*n**3 + 0 = 0. -2, -1, 0 Let z = 711 + -709. Let i(x) be the first derivative of 5/4*x**4 + 6*x**z - 6*x**3 - 6 + 8*x. Factor i(l). (l - 2)**2*(5*l + 2) Let m be 10/4 - (-1 - 2)/6. Let j be 20/150*(7 + m). Factor 8/3*r**2 - j + 0*r + 0*r**3 - 4/3*r**4. -4*(r - 1)**2*(r + 1)**2/3 Let l = -34 - -40. Factor 4*r**2 - l - r**3 - 11 - 3*r + 17. -r*(r - 3)*(r - 1) Let f(l) be the first derivative of l**5 + 19*l**4/4 + 7*l**3 + 5*l**2/2 - 2*l - 186. Factor f(h). (h + 1)**2*(h + 2)*(5*h - 1) Suppose 0 = -4*y - 19 + 31. Let g(b) be the second derivative of 0 + 2*b**y - 2*b**2 - 4*b + 7/12*b**4. Factor g(d). (d + 2)*(7*d - 2) Let c(h) be the first derivative of -3*h**4/8 - h**3 + 33*h**2/4 + 18*h - 24. Factor c(y). -3*(y - 3)*(y + 1)*(y + 4)/2 Let p(o) be the third derivative of -o**8/560 - o**7/350 + 430*o**2. Determine y, given that p(y) = 0. -1, 0 Let p = 1/1582 + 2711/1582. Solve p*x**2 - 8/7 - 4/7*x**3 + 4/7*x - 4/7*x**4 = 0 for x. -2, -1, 1 Let p(y) be the first derivative of -2*y**6/27 - 8*y**5/45 - y**4/9 - 38. Let p(f) = 0. Calculate f. -1, 0 Let d(z) be the third derivative of 1/180*z**6 + 0 + 23*z**2 + 0*z + 1/36*z**4 + 2/45*z**5 - 2/3*z**3. Factor d(w). 2*(w - 1)*(w + 2)*(w + 3)/3 Factor -d**2 - 8*d**2 + 18*d**2 - 3*d - 8*d**2 - 3*d - 27. (d - 9)*(d + 3) Let m = -160 + 162. Let w(n) be the first derivative of 8/3*n**3 - n**4 + 0*n + 4 - m*n**2. Find h such that w(h) = 0. 0, 1 Suppose -2 = -3*i - n + 7, -n = -3. Let d be (1/3)/((-25)/(-150)). Determine j so that 15*j**i - j**2 - d*j**2 + 8 + 20*j = 0. -1, -2/3 Let y(a) = a**3 - 315*a**2 - 3915*a + 4211. Let b(x) = 2*x**3 - 320*x**2 - 3915*x + 4212. Let j(p) = 6*b(p) - 7*y(p). Factor j(s). 5*(s - 1)*(s + 29)**2 Factor -70 + 4*y - 77 + 159 - 2*y - 10*y**2 - 4*y**3. -2*(y - 1)*(y + 2)*(2*y + 3) Let f = 101/80 + -17/16. Let p(g) be the first derivative of -f*g**3 + 4 - 3/10*g**2 + 3/20*g**4 + 3/5*g. Factor p(b). 3*(b - 1)**2*(b + 1)/5 Let y(j) = 2*j**3 - 4*j**2 + j + 2. Let x be y(2). Suppose x*f - 9*f**3 + 8*f**4 + 42 - 4*f**5 - 16*f**2 - 34 + f**3 + 8*f**5 = 0. Calculate f. -2, -1, 1 Let i = -190 - -2852/15. Let l(x) be the third derivative of 1/150*x**6 + 0*x + 2/75*x**5 - x**2 - 16/15*x**3 + 0 - i*x**4. Factor l(s). 4*(s - 2)*(s + 2)**2/5 Let x(p) = -347*p + 1041. Let b be x(3). Factor -2/5*c - c**2 + 7/5*c**3 + b. c*(c - 1)*(7*c + 2)/5 Let c(t) = -9*t**4 - 11*t**3 + 19*t**2 - 5*t - 2. Let h(m) = 26*m**4 + 32*m**3 - 58*m**2 + 15*m + 7. Let k(z) = -11*c(z) - 4*h(z). Factor k(w). -(w - 1)**2*(w + 3)*(5*w + 2) Suppose s - 5 = 3*j + 2*s, 5 = 3*j - s. Suppose 7 = 2*d + c - 5, -5*d - 4*c + 33 = j. Solve 16/7*v**4 - 8/7 + 20/7*v - 4/7*v**d - 16/7*v**3 - 8/7*v**2 = 0. -1, 1, 2 Let l(g) = -9*g + 31. Let h be l(-14). Let n = h + -155. Determine q, given that 2/7*q**n + 4/7*q - 6/7 = 0. -3, 1 Let s be 304/15960 + (-8)/(-30). Factor 0*l**2 - 4/7*l + 2/7 + 4/7*l**3 - s*l**4. -2*(l - 1)**3*(l + 1)/7 Let y(m) = -11*m**4 + 16*m**3 - 6*m**2 - 12*m. Let o(t) = 120*t**4 - 175*t**3 + 65*t**2 + 130*t. Let h(x) = 6*o(x) + 65*y(x). Solve h(u) = 0 for u. 0, 2 Suppose 28 = -5*a + 12*a. Let g(n) be the second derivative of 0 + 1/120*n**6 - n + 0*n**2 + 0*n**3 + 0*n**a - 1/80*n**5. Factor g(q). q**3*(q - 1)/4 Let q(m) be the third derivative of m**8/7560 + m**7/945 + m**6/324 + m**5/270 + m**3/2 + 12*m**2. Let r(z) be the first derivative of q(z). Factor r(b). 2*b*(b + 1)**2*(b + 2)/9 Suppose -7*r = 2*g - 5*r - 4, -4*r + 4 = 2*g. Factor -16/13 - 6/13*v**g + 28/13*v. -2*(v - 4)*(3*v - 2)/13 Find o, given that 231/2*o**3 - 48*o + 123/2*o**2 + 6 = 0. -1, 2/11, 2/7 Let o(n) be the second derivative of 3*n + 1/66*n**4 + 0 + 5/11*n**2 + 2/11*n**3. Factor o(d). 2*(d + 1)*(d + 5)/11 Let t(a) be the third derivative of 0 + 1/30*a**5 - 1/105*a**7 + 25*a**2 - 1/30*a**6 + 1/6*a**4 + 0*a**3 + 0*a. Find s, given that t(s) = 0. -2, -1, 0, 1 Let a(n) be the second derivative of n**4/12 - 50*n**3 + 11250*n**2 - 23*n + 3. Find s such that a(s) = 0. 150 Let 15781*p**2 - 55*p - 15785*p**2 - 61*p + 144 - 24*p = 0. Calculate p. -36, 1 Factor 0*t**2 - 9/2*t**3 + 3/4*t**4 + 0 + 0*t + 3/2*t**5. 3*t**3*(t + 2)*(2*t - 3)/4 Let -1/7*s**5 - 8/7*s - 10/7*s**2 + 4/7*s**4 + 3/7*s**3 + 0 = 0. What is s? -1, 0, 2, 4 Let l be 33/7 + (-18)/(-63). Let u = -2 + l. Solve -2 - 25*m**5 + 2 - m - 12*m**2 - 61*m**3 + 15*m**u - 60*m**4 = 0 for m. -1, -1/5, 0 Let s(i) be the first derivative of -i**4/10 + 32*i**3/15 + 17*i**2/5 - 322. Factor s(p). -2*p*(p - 17)*(p + 1)/5 Let c(q) = -6*q - 11. Let m(f) = -13*f - 23. Let j(l) = 14*c(l) - 6*m(l). Let h be j(-3). Factor 2/9*k**5 - 2/9 + 4/9*k**h - 4/9*k**3 + 2/9*k - 2/9*k**4. 2*(k - 1)**3*(k + 1)**2/9 Let y(d) be the first derivative of 2*d**3/27 - 17*d**2/3 + 100*d/9 - 419. Determine l so that y(l) = 0. 1, 50 Let b(l) be the first derivative of l**6/360 - l**5/24 + l**4/4 + l**3 - 13. Let g(u) be the third derivative of b(u). Solve g(x) = 0. 2, 3 Let t = 509/135 + -100/27. Let r(h) be the third derivative of 1/6*h**4 + 0*h**3 + 0 + 0*h - 6*h**2 - t*h**5. Find k, given that r(k) = 0. 0, 1 Let q(k) be the first derivative of -k**9/945 - k**8/2100 - 7*k**3/3 - 25. Let v(n) be the third derivative of q(n). Factor v(o). -4*o**4*(4*o + 1)/5 Let c(n) be the second derivative of n**6/60 - n**5/20 + n**4/24 + 63*n. Factor c(a). a**2*(a - 1)**2/2 Let f = -149 + 149. Let t(i) be the third derivative of 0*i + 1/6*i**4 - 1/10*i**5 + f*i**3 + 0 + 8*i**2 + 1/60*i**6. Factor t(w). 2*w*(w - 2)*(w - 1) Let o = 5650 - 11299/2. Factor o*g**2 + 32 - 8*g. (g - 8)**2/2 Let 13/2*n**4 + 0*n + 1/4*n**5 + 23/2*n**2 + 71/4*n**3 + 0 = 0. Calculate n. -23, -2, -1, 0 Let z(d) be the third derivative of -d**7/70 + d**6/15 + d**5/10 - d**4/3 - d**3/2 - d**2 + 542. Find v, given that z(v) = 0. -1, -1/3, 1, 3 Let c(j) be the third derivative of j**7/630 + j**6/45 + 23*j**5/180 + 7*j**4/18 + 2*j**3/3 + j**2 + 17. Solve c(v) = 0 for v. -3, -2, -1 Suppose 3*c = -4*o + 133 - 569, -408 = 3*c - 3*o. Let x be (-76)/c + 0 + 6/(-15). Factor 3/7*p**3 + 0 - 1/7*p**4 + x*p - 3/7*p**2. -p*(p - 1)**3/7 Let k(a) = -a**3 - 3*a**2 - 30*a - 28. Let t be k(-1). Factor -1/4*h**4 + 0 - 3/2*h**3 + 0*h + t*h**2. -h**3*(h + 6)/4 Let y(d) be the second derivative of d**7/56 + 3*d**6/40 - 3*d**5/40 - 3*d**4/4 - d**3 + 2*d + 7. Find z, given that y(z) = 0. -2, -1, 0, 2 Let c be (7/2)/(3000/224 + -12). Let q(j) be the first derivative of 42/13*j**2 - 18/13*j - c*j**3 + 1. Factor q(a). -2*(7*a - 3)**2/13 Determine w so that -2/11*w**5 + 16/11*w - 14/11*w**3 + 8/11 + 2/11*w**2 - 10/11*w**4 = 0. -2, -1, 1 Let n(j) be the first derivative of j**6/240 - j**5/80 + j**4/96 - 7*j + 2. Let q(m) be the first derivative of n(m). Solve q(i) = 0. 0, 1 Let w(v) be the second derivative of -v**5/12 + 5*v**4/4 - 15*v**3/2 - 5*v**2 + 6*v. Let m(b) be the first derivative of w(b). Solve m(d) = 0. 3 Let t = 1165 + -1165. Let 1/3*g**4 - 5/3*g**2 - g + t - 1/3*g**3 = 0. What is g? -1, 0, 3 Let o(w) be the first derivative of w**9/21168 - w**7/1960 - w**6/1260 - 2*w**3/3 + 14. Let v(t) be the third derivative of o(t). Let v(f) = 0. Calculate f. -1, 0, 2 Suppose -4*n + 15 = 7. Factor -6*g - 3 + 2*g**2 + 8*g - 13*g + 2*g**n. (g - 3)*(4*g + 1) Let v(b) = b**2 - 6*b + 21. Suppose 3*l + 60 = 5*g, -2*l = 5*g - l - 40. Let h(q) = -2*q**2 + 11*q - 41. Let z(r) = g*v(r) + 4*h(r). Factor z(c). (c - 5)**2 Le
{ "pile_set_name": "DM Mathematics" }
is the r'th term of 31, 136, 311, 556, 871? 35*r**2 - 4 What is the h'th term of -5131, -5132, -5133, -5134, -5135, -5136? -h - 5130 What is the i'th term of -1, 1, 5, 11, 19? i**2 - i - 1 What is the s'th term of -211, -221, -233, -247, -263? -s**2 - 7*s - 203 What is the x'th term of 57, 174, 423, 870, 1581, 2622, 4059, 5958? 11*x**3 + 40*x + 6 What is the u'th term of 205, 198, 177, 136, 69, -30, -167? -u**3 - u**2 + 3*u + 204 What is the g'th term of 76, 150, 210, 250, 264, 246, 190, 90? -g**3 - g**2 + 84*g - 6 What is the c'th term of -94, -97, -100, -103? -3*c - 91 What is the o'th term of 15, 46, 113, 228, 403, 650, 981? 2*o**3 + 6*o**2 - o + 8 What is the k'th term of 140, 139, 138? -k + 141 What is the b'th term of -831, -828, -823, -816, -807, -796, -783? b**2 - 832 What is the s'th term of -25, -104, -229, -394, -593, -820, -1069, -1334? s**3 - 29*s**2 + s + 2 What is the r'th term of 1, -4, -13, -26, -43, -64? -2*r**2 + r + 2 What is the q'th term of 1741, 1734, 1725, 1714? -q**2 - 4*q + 1746 What is the c'th term of 1, 0, -1, -2, -3? -c + 2 What is the t'th term of 38, 25, -4, -55, -134, -247, -400, -599? -t**3 - 2*t**2 + 41 What is the m'th term of 12, 5, -2? -7*m + 19 What is the n'th term of -14556, -29111, -43666, -58221, -72776? -14555*n - 1 What is the o'th term of 53, 45, 37, 29? -8*o + 61 What is the p'th term of -508, -1018, -1532, -2050, -2572, -3098, -3628? -2*p**2 - 504*p - 2 What is the x'th term of 46, 89, 134, 181, 230? x**2 + 40*x + 5 What is the f'th term of 7, 7, 17, 37, 67, 107, 157? 5*f**2 - 15*f + 17 What is the w'th term of 536, 1073, 1610? 537*w - 1 What is the l'th term of -1049, -2097, -3145, -4193? -1048*l - 1 What is the q'th term of -36, -80, -138, -216, -320, -456, -630, -848? -q**3 - q**2 - 34*q What is the l'th term of 54, -35, -184, -393? -30*l**2 + l + 83 What is the o'th term of 69, 70, 69, 66, 61? -o**2 + 4*o + 66 What is the m'th term of 54, 424, 1428, 3384, 6610, 11424, 18144, 27088? 53*m**3 - m**2 + 2*m What is the y'th term of -89, -70, -31, 34, 131, 266, 445? y**3 + 4*y**2 - 94 What is the x'th term of -1239, -1227, -1215, -1203? 12*x - 1251 What is the q'th term of -97, -190, -281, -370, -457, -542, -625? q**2 - 96*q - 2 What is the f'th term of 9, 49, 173, 423, 841, 1469, 2349? 7*f**3 - 9*f + 11 What is the z'th term of -12, -66, -132, -216, -324, -462, -636, -852? -z**3 - 47*z + 36 What is the y'th term of -358, -1423, -3182, -5623, -8734, -12503, -16918? 2*y**3 - 359*y**2 - 2*y + 1 What is the y'th term of 245, 243, 241, 239, 237, 235? -2*y + 247 What is the y'th term of 129, 125, 119, 111, 101, 89? -y**2 - y + 131 What is the c'th term of -30, -41, -48, -51, -50, -45? 2*c**2 - 17*c - 15 What is the p'th term of 16, 28, 64, 136, 256, 436? 2*p**3 - 2*p + 16 What is the w'th term of 12, -1, -14, -27? -13*w + 25 What is the n'th term of -3, 3, 5, -3, -27? -n**3 + 4*n**2 + n - 7 What is the u'th term of -121, -236, -351, -466? -115*u - 6 What is the t'th term of -222, -223, -224, -225, -226, -227? -t - 221 What is the k'th term of 118, 114, 108, 100, 90, 78, 64? -k**2 - k + 120 What is the s'th term of 8, 6, 4? -2*s + 10 What is the j'th term of 89, 85, 73, 47, 1? -j**3 + 2*j**2 - 3*j + 91 What is the i'th term of 8, 103, 364, 875, 1720, 2983, 4748? 14*i**3 - i**2 - 5 What is the k'th term of 3296, 6590, 9884, 13178, 16472, 19766? 3294*k + 2 What is the k'th term of -1533, -3067, -4601, -6135? -1534*k + 1 What is the m'th term of 9, 153, 537, 1281, 2505? 20*m**3 + 4*m - 15 What is the q'th term of -411, -586, -771, -972, -1195, -1446? -q**3 + q**2 - 171*q - 240 What is the u'th term of -40, -132, -274, -460, -684, -940, -1222, -1524? u**3 - 31*u**2 - 6*u - 4 What is the m'th term of 725, 1449, 2173, 2897, 3621, 4345? 724*m + 1 What is the x'th term of 56, 44, 30, 14, -4, -24, -46? -x**2 - 9*x + 66 What is the c'th term of -35, -33, -21, 7, 57, 135, 247, 399? c**3 - c**2 - 2*c - 33 What is the s'th term of 25, 54, 89, 124, 153, 170, 169? -s**3 + 9*s**2 + 9*s + 8 What is the h'th term of 5, 85, 215, 395? 25*h**2 + 5*h - 25 What is the x'th term of 33, 142, 425, 966, 1849, 3158? 14*x**3 + 3*x**2 + 2*x + 14 What is the v'th term of 209, 208, 207? -v + 210 What is the y'th term of -29, -34, -29, -8, 35, 106, 211, 356? y**3 - y**2 - 9*y - 20 What is the w'th term of 132, 262, 392, 522, 652, 782? 130*w + 2 What is the a'th term of -783, -817, -881, -981, -1123, -1313? -a**3 - 9*a**2 - 773 What is the j'th term of 627, 1267, 1923, 2601, 3307, 4047, 4827? j**3 + 2*j**2 + 627*j - 3 What is the u'th term of -1506, -1506, -1516, -1542, -1590, -1666, -1776? -u**3 + u**2 + 4*u - 1510 What is the g'th term of 7, 14, 37, 88, 179, 322? 2*g**3 - 4*g**2 + 5*g + 4 What is the y'th term of 75, 289, 643, 1137? 70*y**2 + 4*y + 1 What is the u'th term of -65, -292, -673, -1208, -1897? -77*u**2 + 4*u + 8 What is the f'th term of -70, -111, -126, -115, -78? 13*f**2 - 80*f - 3 What is the v'th term of 1306, 1303, 1298, 1291, 1282, 1271, 1258? -v**2 + 1307 What is the y'th term of 2, 8, 36, 98, 206? 2*y**3 - y**2 - 5*y + 6 What is the m'th term of 388, 395, 414, 451, 512, 603, 730, 899? m**3 + 387 What is the m'th term of -1261, -2520, -3779, -5038, -6297? -1259*m - 2 What is the l'th term of -866, -1725, -2584, -3443, -4302? -859*l - 7 What is the i'th term of 10, 20, 30? 10*i What is the t'th term of 128, 128, 126, 122, 116? -t**2 + 3*t + 126 What is the o'th term of -448, -907, -1378, -1861, -2356, -2863, -3382? -6*o**2 - 441*o - 1 What is the p'th term of -14, -28, -50, -80? -4*p**2 - 2*p - 8 What is the a'th term of -38, -80, -146, -248, -398, -608, -890, -1256? -2*a**3 - 28*a - 8 What is the s'th term of 1, 6, 27, 70, 141, 246, 391? s**3 + 2*s**2 - 8*s + 6 What is the w'th term of 15, 50, 143, 324, 623, 1070, 1695, 2528? 5*w**3 - w**2 + 3*w + 8 What is the n'th term of -300, -328, -356, -384? -28*n - 272 What is the v'th term of -32, -66, -90, -98, -84? v**3 - v**2 - 38*v + 6 What is the v'th term of -176, -616, -1344, -2354, -3640, -5196, -7016, -9094? v**3 - 150*v**2 + 3*v - 30 What is the t'th term of -56, -119, -182? -63*t + 7 What is the f'th term of 3, 16, 29? 13*f - 10 What is the n'th term of -61, -127, -189, -247? 2*n**2 - 72*n + 9 What is the u'th term of -68, -54, -38, -20, 0, 22? u**2 + 11*u - 80 What is the k'th term of -412, -405, -398, -391, -384, -377? 7*k - 419 What is the o'th term of 4752, 9500, 14248, 18996, 23744, 28492? 4748*o + 4 What is the c'th term of 131, 121, 111? -10*c + 141 What is the p'th term of -16, -37, -64, -97? -3*p**2 - 12*p - 1 What is the t'th term of -24, 9, 100, 279, 576, 1021, 1644, 2475? 5*t**3 - t**2 + t - 29 What is the y'th term of -32, -46, -54, -44, -4, 78, 214? 2*y**3 - 9*y**2 - y - 24 What is the l'th term of -72, -48, 4, 90, 216, 388? l**3 + 8*l**2 - 7*l - 74 What is the u'th term of -7, 17, 79, 185, 341, 553, 827? u**3 + 13*u**2 - 22*u + 1 What is the w'th term of -9318, -9313, -9298, -9267, -9214, -9133, -9018, -8863? w**3 - w**2 + w - 9319 What is the q'th term of 1261, 1266, 1273, 1282, 1293, 1306, 1321? q**2 + 2*q + 1258 What is the g'th term of 8, 21, 34? 13*g - 5 What is the n'th term of -138, -140, -142, -144, -146? -2*n - 136 What is the o'th term of -63, -44, -11, 36, 97? 7*o**2 - 2*o - 68 What is the v'th term of -99, -197, -291, -381, -467, -549? 2*v**2 - 104*v + 3 What is the v'th term of 10, 19, 28? 9*v + 1 What is the w'th term of 81, 55, -17, -159, -395, -749, -1245? -4*w**3 + w**2 - w + 85 What is the v'th term of 51, 67, 87, 111, 139, 171, 207? 2*v**2 + 10*v + 39 What is the o'th term of 34, 60, 86, 112, 138? 26*o + 8 What is the v'th term of -1042, -1047, -1064, -1099, -1158? -v**3 + 2*v - 1043 What is the y'th term of -49, -98, -135, -154, -149? y**3 - 56*y + 6 What is the c'th term of -313, -320, -339, -376, -437, -528? -c**3 - 312 What is the m'th term of -14, -18, -22? -4*m - 10 What is the m'th term of -70, -120, -172, -226, -282, -340? -m**2 - 47*m - 22 What is the t'th term of 2, 18, 36, 56, 78, 102? t**2 + 13*t - 12 What is the b'th term of -82, -157, -230, -301, -370, -437, -502? b**2 - 78*b - 5 What is the h'th term of 0, 65, 196, 393, 656, 985? 33*h**2 - 34*h + 1 What is the a'th term of -228, -231, -236, -243, -252, -263? -a**
{ "pile_set_name": "DM Mathematics" }
n be 3 + -1 + 45/(-25). Let m = -1.5 + 1.4. Which is the closest to 2? (a) m (b) n (c) -0.3 b Let r = 312 + -311.5. Which is the closest to r? (a) 2/5 (b) -4/3 (c) -1/5 a Let s(u) = 191*u - 575. Let z be s(3). Let w = -7 - -18. Which is the nearest to z? (a) w (b) 5 (c) -0.2 c Let d = -175 - -1227/7. Let l(x) = -x**3 - 6*x**2 - 4*x + 7. Let v be l(-5). Let p be ((-2)/8)/(v/(-4)). Which is the closest to d? (a) p (b) -5 (c) 0.4 c Let o = -0.2 + -0.8. What is the closest to 2 in -0.3, o, -5, 2/17? 2/17 Let i = -63 + 57.7. Let c = -18.7 + 20. Let p = i + c. What is the closest to 0 in p, -1/5, -2? -1/5 Let v = -30 + 30. Let a = 0 - v. Suppose 5*j - 5*f = -20, j + 5*f = -j - 8. What is the closest to a in 3, j, 2/13? 2/13 Let q = 4.6 - 0.6. Let p = 189 - 1319/7. Which is the closest to q? (a) p (b) -2/9 (c) -5 a Let s = 3288.94 + -3289. Let u be (-2)/(-3) - 7/(-3). What is the closest to s in -2, 1, u? 1 Suppose 0 = 9*u - 6 - 12. Which is the closest to 0? (a) u (b) 1/6 (c) 7 b Suppose -17 = -7*i + 4. Let d be (10/(-6) - -2) + 0. Which is the nearest to -1/2? (a) 0.5 (b) d (c) i b Suppose 2*n + 14 = l, 6*l + 2*n = 4*l - 2. Which is the closest to -0.1? (a) 2 (b) l (c) -5 a Let j be 14/(-20) + 2/4. Let p(x) = x**3 + 3*x**2 + 6*x + 4. Let h be p(-6). Let n = h + 557/4. Which is the closest to 2/3? (a) j (b) 1/3 (c) n b Let s = -3.5 - -1.9. Let q = 7.6 + s. Let v = -6 - -4. Which is the closest to -1? (a) -0.3 (b) q (c) v a Let b = -602 - -621. What is the nearest to -0.1 in 3, 0.4, b, -2/19? -2/19 Let k = 8 + -7.857. Let n = -0.043 + k. Which is the nearest to n? (a) -3 (b) 5/3 (c) 0.3 c Let f = -6/37 - -135/148. Which is the closest to 1? (a) 4 (b) f (c) 2 b Let p = -23.16 - -0.16. Let h = p - -25. What is the nearest to h in 1/6, 0.9, -0.5? 0.9 Let u = 371 - 371.3. Which is the closest to 4? (a) -1 (b) u (c) -3 (d) 0.2 d Let i be (-5 + -2)*(-12)/7. Let h be i/(-9) + 4/6. Let z be 40/18 - ((2 - -5) + -5). Which is the nearest to 0? (a) 1/5 (b) h (c) z a Let k be (-1)/(-3)*5 + -1. Suppose 0 = -u - u. Let m be ((-2)/(-8))/((-17)/51). Which is the closest to -3? (a) u (b) k (c) m c Let u = -617/1190 - 9/170. What is the nearest to 0.1 in -0.2, 47, 0, u? 0 Let s = 917.7 + -918. Let p = 5.2 + -5. Let q = p - -0.3. What is the nearest to s in -3/7, 2/3, q? -3/7 Let t = 18.6 - 19. Let r = 1.4 + t. Which is the closest to r? (a) 0.06 (b) 2 (c) -4 a Let j = -107/45 - -13/5. Let t = 0.73 + -0.806. Let z = 0.076 + t. Which is the closest to z? (a) 1/7 (b) j (c) 2/13 a Let f = 4137/55 + -834/11. What is the nearest to 0 in -89, f, -5/3? f Let k = -29 + 77. Let u = k + -50. What is the closest to 0 in 3, -4, u? u Let r = -1681 + 1684. Let z = 2 + -7. Let k be (-2)/5 - 54/(-10). Which is the nearest to -0.2? (a) k (b) r (c) z b Let g = 27 + -23. Suppose 6 = -g*m - 14. Which is the closest to -1/7? (a) 5 (b) 4 (c) m b Let a = 1/14 - 4/7. Let w = -2.881 - 0.119. What is the nearest to -0.2 in a, 0, w? 0 Let j = -1.2 - -1.1. Let i = 10 + -9.6. Let r = i + -1.4. What is the nearest to r in -0.3, j, 1? -0.3 Let j(u) = -u**2 + 15*u - 25. Let b be j(8). Let t = -32 + b. What is the nearest to 0.1 in t, 2/7, -1/5? 2/7 Let b = 1529 + -10701/7. What is the closest to b in 3, -2, -0.5, 13? -0.5 Let k be (-13912)/28*(-2)/(-4). Suppose 744 = 327*o - 330*o. Let l = k - o. Which is the nearest to 1/3? (a) 1/5 (b) l (c) -2 a Let m = 12 - 13. Let y = 3.4 + -2.4. Which is the closest to 1? (a) y (b) m (c) -2/11 a Let u = -0.44 - -0.04. Suppose -85*q = -83*q - 10. Suppose q*g + h + 9 + 2 = 0, -5*h + 3 = -4*g. What is the closest to 0 in g, u, 0? 0 Let p = -1.71 + -0.29. Let n = -0.47 - -0.52. What is the closest to 2 in n, 5, p? n Suppose 0*s + 55 = 5*s. Let y be s/4 + -1*3. Let i = -46.1 + 46. Which is the nearest to 0.1? (a) y (b) i (c) 3 b Let x = 69 - 72. Which is the nearest to x? (a) -2 (b) -5 (c) 0.2 a Let x(l) = -l**3 - 15*l**2 + 15*l - 14. Let k be x(-16). Let u = 0.06 + -3.06. Let g = -8 - u. Which is the closest to -6? (a) k (b) g (c) 5 b Let l = -1.65 + 2.65. Let o = 14 - 6. Suppose o = -5*n - 7. Which is the nearest to -0.2? (a) l (b) n (c) 0.4 c Let g be 0 - ((-8)/30 - 18/(-30)). Suppose -o - 16 = 5*j, 0*o + 2*o + 17 = -5*j. What is the closest to g in o, -2, -1/7? -1/7 Let d = 42 - 41. Let s be -6*(0 - d) - (-6 - -7). What is the closest to 0.1 in -1, -2/19, s? -2/19 Suppose -3*s = 9 + 3. Let z be (-3)/(4/s) + -1. Suppose 2*l - 14 = -3*f - f, f - 5*l + z = 0. What is the nearest to -7 in f, 0.3, 0.2? 0.2 Let o = 5.15 - 5.55. What is the closest to 1 in -5, -0.1, o, 3? -0.1 Let g = 2.13 + -2.33. What is the closest to g in -1/3, 0.2, -3? -1/3 Let p = 0.4652 + 58.4748. Let j = p + -59. What is the nearest to -0.1 in j, 2/7, -0.5? j Let d = 0.4 - 2.4. Let j = d - -2. Let u = -63 + 313/5. Which is the nearest to u? (a) j (b) 4/3 (c) 8 a Let h = 2/27 + 19/108. Let m = -750.9 - -751. Which is the nearest to m? (a) -5/2 (b) 0.1 (c) h b Let t = 121 + -1330/11. Let b = 5719 - 5718. Let r = -131 + 527/4. What is the nearest to r in b, t, 0? b Let x = -445.6 - -446. Let s = 3 + -4. Let y = 0 - -2. Which is the closest to 1? (a) x (b) s (c) y a Let x be 69/115 + (1 - 2). Which is the nearest to -80? (a) -5/4 (b) x (c) 2/5 a Let l(o) = -o**3 + 11*o**2 - 2*o + 25. Let t be l(11). Let z = -10 + 7.2. Let i = -3 - z. What is the nearest to -1/2 in -0.4, t, i? -0.4 Let w = 10 - 9.9. Let d = -11.9 - w. Let s = -7 - d. What is the closest to 1 in -1/4, s, 0? 0 Let v = 97.26 - 97. Let s = -4.7 + 5. What is the closest to v in 0.1, 2, s? s Let s(p) = -p**3 + 7*p**2 - p + 4. Let w be s(7). Let u = -730142 - -634493306/869. Let x = u - 6/79. Which is the nearest to -1? (a) -1 (b) w (c) x a Suppose -16 = -2*p - 2*p. Suppose 5*v = -0*h + h - 17, -p*v = -5*h + 22. What is the nearest to -0.5 in h, 0.4, 1? 0.4 Let x = 59 - 59.3. Let g(v) = v - 16. Let h be g(10). Which is the closest to h? (a) x (b) -5 (c) 2 b Let n = -6.655 - -3.655. Let l = 0 - -1. What is the closest to 0.1 in n, 0.16, l? 0.16 Let q = -2 - 1. Let g = 0.107 - 0.107. Which is the closest to g? (a) -4 (b) q (c) -0.1 c Let h be (8 - 282/36)/(2/(-8)). What is the closest to 1/3 in -1, h, 0.5, 0.1? 0.5 Let k = 1371/2 + -686. What is the closest to k in 1, -5, 9/20? 9/20 Let t = -0.24 - -0.14. Let f(n) = n**3 - n + 3. Let x be f(0). Let d = -151 - -147. Which is the nearest to t? (a) d (b) 3/2 (c) x b Let l = 2 - 2. Let y be (215/(-10) + 20)/(42/8). Which is the nearest to l? (a) 3 (b) 1/2 (c) y c Let r = 4.85 - 4.95. Let m = 8.4 + -14. Let k = 6 + m. What is the nearest to r in k, -1/3, -1? -1/3 Let l = 1360/7 - 194. Let j = l + -32/63. Let p = 763 + -762. What is the nearest to p in j, -2, -1? j Suppose -4*a + z + 12 = 0, -2*z + 18 = 3*a - 5*z. Suppose -a*c = -4*o, 5*o - 7 = -c - 0. What is the nearest to 1/4 in 5, 0.4, c? 0.4 Let x = 205 + -205. Which is the closest to 1/4? (a) x (b) 0.2 (c) -0.5 (d) 3 b Suppose -12*h = 160 + 8. What is the nearest to 0.1 in -2/3, 4, h? -2/3 Let n = -0.2452 - -0.0452. What is the nearest to 1/4 in 1, n, 1/7, -4? 1/7 Let f = 2.9 - 2.5. Let n be (-2)/(-5) + (-8)/(-5). Suppose -9 = 5*g + 1. Which is the closest to g? (a) -1/3 (b) n (c) f a Let w = 52/81 - -2/81. Suppose -5*x - 3*i = -49, 3*x - 2*x - 11 = -i. Let j = x - 15/2. Which is the nearest to w? (a) 0.2 (b) j (c) -0.4 b Let n be 3 + 1 + 2 + 3 + -8. Which is the nearest to n? (a) 0.2 (b) 3 (c) -0.4 (d) 4/5 d Suppose 5*s - 4*g - 2 = 0, -4*g + 9*g + 25 = -5*s. What is the nearest to 7 in 5, -1/12, s? 5 Let x be (-6 + 105/20)*1/(-3). What is the nearest to 0 in -4/3, x, 3? x Let s = -700 - -700. What is the nearest to 2/5 in -4, 1/6, s, 0.046? 1/6 Let f = 3 - 3.7. Let m = 0.3 - f. Let g = 3839 + -15357/4. Which is the nearest to 1/4? (a) g (b) m (c) -0.1 c Let z = -84 + 82. What is the closest to 17/7 in 0.4, 1/3, z? 0.4 Let d = -34 - -10. Let r be -2*(75/(-102)*4 - -3). What is the nearest to -0.1 in 4, d, r? r Let m = 48 + -56. Let o = m - -8.2. What is the nearest to o in -2/11, -0.4, -2/3? -2/11 Let q be 1*(-6)/(-2) + -1. Let z = 166.1 + -165.6. What is the closest to q in z, -5, 0.1? z Suppose 0 = -8*n - 3*n + 66. Su
{ "pile_set_name": "DM Mathematics" }
/((-3)/(0 - 3)). Let y = 5 - o. Calculate h(y). -6 Let u(w) = 7*w + 1. Suppose 3*l = 19 - 4. Suppose 3*j - l = -2*j. What is u(j)? 8 Let f(v) be the first derivative of 7*v**2/2 + v + 4. What is f(1)? 8 Let y(f) = 4*f**2 - 1. Let z(a) = -2*a + 7. Suppose -2*l - 3 + 9 = 0. Let d be z(l). What is y(d)? 3 Let z(c) = 9*c**3 - 2*c**2 - 2*c - 1. Let d be (0 + 3 - 1)*-1. Let l be -1*(2 + -3) + d. What is z(l)? -10 Let k(o) be the first derivative of o**4/4 - 4*o**3/3 - 5*o + 10. Suppose -4*h + 8 = -2*h. Calculate k(h). -5 Suppose h - 21 = -5*b, -3*b - 11 - 4 = -4*h. Let z(w) = -w**3 + 5*w**2 + 5*w + 1. Calculate z(h). -5 Let t be 0/(-2) - 0/2. Let q = 8 - 6. Let h(b) = -q*b + b**3 + 3*b - 4 + 6. What is h(t)? 2 Let p(t) = t**3 + 28 + 3*t - 4*t**3 - 3*t**2 + 2*t**3 - 25. Determine p(-3). -6 Let k = -6 - -3. Let d(f) = f**2 + 2*f + 2. Determine d(k). 5 Let l(x) = -9*x**3 + 8*x**2 + 4*x - 4*x - 4 - 2 - 9*x. Let a(w) = -9*w**3 + 7*w**2 - 8*w - 5. Let t(p) = -7*a(p) + 6*l(p). Let v be 1 - 1 - (1 + -2). Give t(v). 9 Suppose -2*y + 18 = -4*s, 2*s = -0*s - 4. Let u = 8 - y. Let v(o) = 2*o. Determine v(u). 6 Let o(d) = -5*d**2 - 5*d + d**3 - 8 + 3 - 2*d**3 + 3*d. Give o(-5). 5 Let s be 1/(-3) - 39/(-9). Suppose 0 - 5 = -5*h - 5*z, s*z - 19 = h. Let o(n) be the first derivative of 2*n**3/3 + n**2 - 4*n + 3. What is o(h)? 8 Let c(k) be the third derivative of -k**4/12 + 5*k**2. Calculate c(-2). 4 Let n(o) be the third derivative of -o**8/20160 - o**7/2520 - o**6/240 - 2*o**5/15 + 4*o**2. Let s(t) be the third derivative of n(t). Calculate s(3). -18 Let u(v) be the first derivative of v**2 - 5*v + 16. Give u(4). 3 Suppose 2*i = -0*i - 4. Let x(m) = m**2 - m + 1. Let p(d) = d**2 - 5*d + 1. Let w(c) = p(c) - 2*x(c). Give w(i). 1 Let u(x) = 3*x**3 - 4*x**2 + x - 1. Let f(h) = -10*h**3 + 13*h**2 - 4*h + 4. Let y(w) = 2*f(w) + 7*u(w). What is y(-2)? -13 Suppose 0 = -4*m + m + 9. Let b be (-2)/m + 95/(-15). Let n = b + 4. Let s(d) = -d**3 - 3*d**2 + d - 1. What is s(n)? -4 Let b(i) = -24*i**2 - 2*i + 13. Let r(n) = 11*n**2 + n - 6. Let j(d) = 6*b(d) + 13*r(d). Determine j(-3). -12 Let t(k) = 3*k**2 + 11*k + 5. Let x(b) = b**2 + b - 1. Let o(u) = -t(u) + 2*x(u). Calculate o(-8). 1 Suppose 2*j - 12 = 3*z, 8 = -j - 0*j - 2*z. Let p(t) be the third derivative of 0*t**4 + 6*t**2 + 7/6*t**3 + 0*t - 1/60*t**5 + 1/120*t**6 + 0. Calculate p(j). 7 Let x(r) be the third derivative of r**6/120 + r**5/30 - r**4/6 - r**3/6 + r**2. Let n(o) = -2*o + 9. Let l be n(11). Let q = 10 + l. What is x(q)? 2 Let i be (-20)/15 - 2/(-6). Let c(h) = 2*h - 7. Let a(y) = -5*y + 20. Let x(d) = -3*a(d) - 8*c(d). Let k(r) = -1. Let l(z) = i*x(z) + 6*k(z). Give l(-5). -7 Suppose -1 = -d + 1. Suppose 12 = 5*y + d, -5*x = 3*y - 21. Let n(l) = l**x + 3 + 4*l - l + 2*l + 5*l**2. Calculate n(-4). -1 Let y(j) = -10*j + 6. Let i(c) = c - 1. Let z(x) = -8*i(x) - y(x). Let g = 1 + 1. What is z(g)? 6 Let q = -6 - -9. Suppose q = -2*p - 1. Let v be ((-5 - p) + 2)/1. Let k(y) = 3*y**3 - 1. What is k(v)? -4 Let o(a) = 0*a - a + 6*a. Let t be o(-1). Let r(h) = -h**2 - 3*h + 6. Give r(t). -4 Let a be 2/7 + 231/49. Let x(k) = -7*k**2 + 15*k + 19. Let s(g) = 4*g**2 - 8*g - 10. Let y(l) = -5*s(l) - 3*x(l). What is y(a)? -7 Let w = 3 - 7. Let v(i) be the first derivative of -i**2 - 2*i - 5. Determine v(w). 6 Let v(g) be the second derivative of -g**3/6 - g**2/2 - 6*g. What is v(-1)? 0 Let h(a) = a**3 - 3*a**2 + 2*a - 2. Let c = 19 - 16. Determine h(c). 4 Let v = -5 - -10. Let t(b) = -b + 4 - v*b**2 - b + 4*b**2. Suppose -5*h = 7 + 8. Calculate t(h). 1 Let w(n) = -8*n**3 + n**2 - n. Let m be 0/(2/(-4)*-2). Let o be 0 + -2 + m - -2. Suppose o = -3*v - 0*v + 3. Determine w(v). -8 Let w(x) = -x**2 - 6*x + 9. Let d(j) = 2*j**2 + 5*j - 10. Let u(n) = 2*d(n) + 3*w(n). Determine u(8). 7 Let k = -6 - -8. Let i(x) = x**3 - x**2 + x - 1. Give i(k). 5 Let p(a) = -2*a. Suppose -12 = -5*c + 8. Suppose 14 = -2*k + c. Give p(k). 10 Suppose -20 = -3*h + 8*h. Let a(k) = -2*k - 2. Give a(h). 6 Let s(w) = -w**2 + 3*w - 3. Let i be 9/12 + 3/(-4). Suppose -22 = -4*x - i*q + 5*q, -3*x = -q - 11. Calculate s(x). -3 Let r(k) = k**3 - k**2 + 7*k. Let w(s) = 2*s**3 + 8*s + 1. Let z(v) = 3*r(v) - 2*w(v). Let t(y) = -y**3 - 7*y**2 - 3*y + 14. Let c be t(-6). Give z(c). -6 Let y(h) = -h + 6. Let o be y(8). Let v be (-6)/o*(-2)/(-3). Suppose -4*c - 3*q - 3 = 0, c = -3*q + v*q. Let j(p) = -p + 3. Determine j(c). 6 Let g(a) be the second derivative of a**4/3 - a**2/2 - 2*a. Let p be (1/(-2))/((-7)/14). Calculate g(p). 3 Let l(a) = 2*a + 6. Let i = 19 - 27. What is l(i)? -10 Let f(h) = 12*h - 1. Suppose u - 4 = -3*u. What is f(u)? 11 Let s = 14 - 12. Let r(q) = -1 - 5 + s*q + 0. What is r(5)? 4 Let y = -12 + 17. Let o(x) = -x + 3. Let n be o(y). Let h(a) = a**3 + 4*a**2 + a - 1. Calculate h(n). 5 Let c(n) be the second derivative of -n**5/20 + n**4/4 + n**3/2 - n**2/2 - 16*n. Calculate c(4). -5 Let i(p) be the third derivative of -p**4/12 + p**3/6 + 3*p**2. Give i(2). -3 Let r(a) = a**2 - a + 2. Let t(d) = -3*d + 18. Let n be t(5). Calculate r(n). 8 Let f(d) = d**2 + 7*d - 6. Let x be f(-8). Suppose -2*s + 4*v + 16 = x*s, -v = -5*s + 4. Let u(i) = s*i + 0*i + i + 2. Determine u(-3). -1 Let x(c) = -c**2 + 4 - c + 3*c - 3*c. What is x(0)? 4 Let u(k) = -5*k + 0*k**3 - 7*k**2 + 3 - 3*k**3 + 2*k**3. Suppose 25 = 4*h + 5*v, 0 = 5*v - 4 - 1. Suppose 2*r - 18 = h*r. Determine u(r). -3 Let o = 2 + 2. Let b be (-10)/6 - o/(-6). Let m(s) be the second derivative of -5*s**4/12 - s**3/3 - s**2/2 + 7*s. Give m(b). -4 Let p be 23/5 - 2/(-5). Let l(k) = 3*k**3 - 7*k**2 + k - 7. Let z(v) = 4*v**3 - 8*v**2 - 8. Let s(c) = -3*l(c) + 2*z(c). Calculate s(p). -10 Suppose 6*o - 8*o + 6 = 0. Let r(w) be the second derivative of -w + 0 + 1/3*w**o + 3/2*w**2. Give r(3). 9 Suppose 0 = 3*c + 11 + 4. Let s(d) = d**3 + 5*d**2 - 5. What is s(c)? -5 Let k(w) = w**2 - w + 2. Let n be k(0). Let x be (-14)/(-3) + 4/(-6). Let a(l) = -l - 2 + 3 + x*l**2 + 3*l**3 - 4*l**3 - 3*l**2. Determine a(n). -5 Let j(z) = 3*z**2 - 6*z**2 - 2 + 1 + 0*z - z. Determine j(2). -15 Suppose 0 = -3*h - 3 - 0. Let j = -16 + 18. Let d(b) = -2*b - 4*b**2 + 7 + 3*b**2 - 8 - 3*b**j. Calculate d(h). -3 Let y(t) = t**2 + 7*t + 1. Let f be y(-7). Suppose 3*r = f + 8. Suppose -3*h - 5 = q, 5*q - r*h + 25 = -h. Let c(x) = -3*x - 7. Give c(q). 8 Let p(d) = -d**2. Let b(m) = -6*m - 3 - m**3 + 2*m**2 + 5*m**2 + 1 + 7. Let i(s) = b(s) + 2*p(s). Calculate i(4). -3 Let x = 12 - 8. Suppose -x*z + 5*t - 33 = 0, 0 = -2*z + 6*z + 2*t + 26. Let h = z - -11. Let n(f) = f + 1. Determine n(h). 5 Let s(w) be the second derivative of -w**5/120 - w**4/24 - 5*w**3/6 - w. Let q(r) be the second derivative of s(r). Let t be 13/4 + (-1)/4. Determine q(t). -4 Let t be 72/30 + 6/10. Let a(x) = x**2 + 2*x**2 + 4*x**t - 2*x**2. Suppose -2*p - 2 = -2*b, -2*b + 2 = -p + 1. Determine a(p). -3 Let f = -15 - -13. Let v(g) = 4*g + 1. What is v(f)? -7 Let p(v) = -2 - 300*v + 6 + 299*v. Calculate p(4). 0 Let i(a) = a - 4. Suppose 6 = 5*s - 29. Let z be i(s). Let j(n) = 2 - 3 + n**2 + z. Determine j(-3). 11 Let x(n) = -n - 12. Let l be x(-10). Let g(j) = -j**3 - j - 1. Let s(w) = 6*w**3 + 2*w**2 + 5*w + 3. Let t(o) = -5*g(o) - s(o). Determine t(l). 2 Suppose 4*d = d + 3*g + 3, 0 = 2*d + 5*g - 23. Suppose d*a + 2 = -18. Let f(u) = -u**2 - 4*u + 4. Determine f(a). -1 Let l(f) = -f**3 - 2*f**2 - 3*f - 1. Let o be (-9)/6*(-7)/(21/(-4)). What is l(o)? 5 Let r(q) = 438*q**2 + 13 - 9*q - 2*q - 4 - 437*q**2. Calculate r(9). -9 Suppose 49*g = 51*g - 14. Let p(u) = u**2 - 9*u + 9. Determine p(g). -5 Let m = -14 + 17. Let q(t) = -5 + 0*t**m + 0*t**3 + 0*t**3 - t**3 - t - 4*t**2. Determine q(-4). -1 Let h(v) be the third derivative of 0*v + 0 - 1/12*v**4 + v**2 - 1/3*v**3. Calculate h(2). -6 Let z(v) = -v**3 + 3*v**2 + 6*v + 4. Let y(t) = t - 1. Let n(q) = -q**2 + q - 2. Let k(u) = n(u) - 2*y(u). Let f(w) = 6*k(w) + z(w). What is f(-3)? 4 Suppose -2*q = 2*x + 3*x + 47, x - 4*q = -27. Let w = x + 14. Let a(o) = -o**3 + 3*o**2 + 4*o + 1. Give a(w). 13 Suppose -2 = n - 6. Let i(y) = -y + 3. What is i(n)? -1 Suppose 5*s - f - f - 1 = 0, -2*s = 3*f + 11. Let b be 2*(-1)/(-2)*s. Let w(u) be the second derivative of 3*u**5/10 - u**4/12 - 28*u. What is w(b)? -7 Let
{ "pile_set_name": "DM Mathematics" }
uppose j = 4*q + 4*x - 2672 - 2032, 0 = -4*q + x + 4679. Is q a prime number? True Let n = -2158 - -3623. Is n a prime number? False Let n be (-8)/(-6)*(-66)/(-44). Suppose -n*t = -616 - 388. Is t a composite number? True Let o(u) = -16*u - 5. Let i be o(-4). Suppose p + 3*q - 352 = 0, -6*p + 10*p - 1438 = -2*q. Suppose s + 2*z - i = 6*z, p = 5*s + 2*z. Is s prime? True Suppose -993 = -3*j + 678. Is j prime? True Is 9*4/12*2039 a composite number? True Let a(r) = 600*r + 3. Let s be a(2). Suppose 1775 = 2*k - 3*i, -s + 2983 = 2*k + 2*i. Is k composite? True Let x(a) = 1758*a**3 + 2*a**2 - 2*a + 1. Is x(1) prime? True Suppose 3890 = 2*u + 4*m, -4*u + 7*u - 4*m - 5835 = 0. Let l = -1166 + u. Is l a composite number? True Let m = 2188 - -3095. Suppose 3*c + 6*c = m. Is c a composite number? False Let s = 7 + -11. Let r(q) = 104*q**2 - 5*q - 30. Is r(s) composite? True Suppose -5*d + r - 185 = -r, 125 = -4*d - 3*r. Let k be (-6710)/d - (-4)/14. Let a = 319 - k. Is a composite? False Suppose q = 3*h - 1906, -3 - 5 = 2*q. Suppose -2*m - 96 = h. Let l = m - -652. Is l prime? False Suppose 21*y - 295 = 20*y. Suppose -5*s + 2*u + 1463 = 0, -s - 2*u = -0*u - y. Is s prime? True Let z = 41551 - 16294. Is z a prime number? False Let u(l) = 11 - 2 - 18*l + 14 + l**2 - 6. Let b be u(17). Is (12/8 - b)*22 a composite number? True Let g(w) = 3*w + 8. Let c be g(-2). Is (c - (-145)/20)/(2/104) composite? True Let d be 20/(-16) + 1 + 3/12. Suppose 0 = -5*n - 2*t + 1505, d*t - 2*t - 588 = -2*n. Is n a prime number? False Let u = 9812 - 6703. Is u composite? False Let a(r) = 2*r**3 - 16*r**2 + 13. Is a(15) prime? True Is (-2007)/(-8) - 41/(-328) a composite number? False Let d(l) = -4*l**3 + 457*l**2 + 5 - 10*l - 444*l**2 + 23. Is d(-13) a composite number? True Suppose 3*y + 4*a - 1754 = 2*y, 0 = 5*a + 5. Suppose 0 = -54*n + 52*n + y. Is n a prime number? False Let v = 11491 - -1626. Is v prime? False Suppose 0 = 16*k - 364663 + 109191. Is k prime? False Let x be -14 + (-7 - -2 - -4). Let f = x + 14. Let y = f - -116. Is y a composite number? True Suppose -2851 + 449 = -2*q. Suppose 4*m - 4752 = 4*w, 4*m + 5*w - 5962 = -q. Is m prime? False Suppose -12*n - 15579 = -82263. Is n a prime number? True Let h = 2397 - 26. Is h a composite number? False Suppose 9330 = 5*i - 139735. Is i a prime number? False Is 3*(0 - 8 - -301) a composite number? True Let q(l) = -1242*l + 41. Is q(-18) composite? False Is (9 + -4 - 13) + 58893 a prime number? False Let z(b) = -111*b - 3. Suppose -4*t = l + 12, -4*t - 3 = 2*l + 13. Is z(t) a composite number? True Let o = -22 + 22. Suppose -4*q = 4*j - 2129 - 839, -j - 4*q + 739 = o. Is j a composite number? False Let l be 2*2/(-4)*7. Let f = l - -10. Suppose -2*j = 4, -f*r + 150 = -4*j - 131. Is r a prime number? False Suppose 4*n + 1 = s, 3*s = -1 + 4. Suppose -f = -3*j + 3*f + 3027, 3*j + 4*f - 3027 = n. Is j composite? False Suppose 3*d = p - 365, -d = 2*p + 2*d - 694. Let h = -669 + p. Is (h/(-8))/((-1)/(-2)) a composite number? False Let f(d) = -805*d + 5. Is f(-6) a composite number? True Let d(k) = 2*k**2 - 34*k + 12. Let f be d(17). Is (-2)/f + 22593/18 a prime number? False Let z(w) = -724*w + 587. Is z(-6) a composite number? False Let o be (-71460)/(-35) + (-2)/(-7). Suppose 3*a - o = 3118. Let v = a - 1014. Is v prime? False Let d(y) = -10*y - 2 + 34*y**3 + 1 + 9*y. Is d(2) prime? True Let r = 153 + -90. Suppose 4*g + r = 7*g. Is (7/g)/((-1)/(-2721)) a composite number? False Is ((-3)/2)/((-77)/151382) composite? True Let k(o) = 3*o**3 + 7*o**2 - o + 1. Let w be k(-4). Let l be ((-210)/w)/((-1)/5). Let v(s) = -47*s + 15. Is v(l) prime? True Let t be (-4)/((-16)/10)*12552/15. Suppose 2*f - 2*y = -2*f + t, -5*y = -3*f + 1583. Is f composite? False Suppose 3*b - 8116 = a + 4*a, 3*a + 5411 = 2*b. Is b a prime number? True Suppose 0*a + 5*a = -3*w - 590, 2*a = -w - 237. Let n be a/(-5) - 5/25. Suppose 0 = k - n - 31. Is k a composite number? True Let x(u) = u - 2. Let f be x(4). Let o be f/(-8) - 4/(-16). Suppose o*t = 3*t - 429. Is t a prime number? False Let o be (6/(-8))/(90/(-240)). Is (-1237 - (o - 6))*5/(-15) a composite number? True Let i be (3/(-9))/(((-24)/4545)/8). Suppose -s + 3*s - 3*p = 227, 5*p = -5*s + i. Is s a composite number? True Let k be (2 - (-49)/(-14))*20/(-3). Let g = k - -87. Is g a prime number? True Let d(s) = 53627*s**2 - 10*s - 33. Is d(-2) composite? True Let b = -1685 + 3025. Let u = b - -563. Is u composite? True Suppose -23*w - 12662 = -25*w. Suppose -5*o = -w - 3414. Is o prime? True Let c(r) = -39*r**2 + 21*r**2 + r**3 - 3 + 3 + 21*r - 11. Is c(25) a prime number? True Let j(n) = 8*n**2 - 3*n + 2. Let t be j(2). Suppose 0*k + 5*c = -k + 18, 0 = 4*k - 3*c - 3. Suppose -t = -z - k*z. Is z composite? False Let i(a) = a**3 + 3*a**2 - 3*a - 5. Let k be i(-3). Suppose -3*l - 5*v = -10367, -k*l = -l - 5*v - 10327. Is l a composite number? False Suppose 0 = d - 5*o - 388, -3*d + o - 2 = -1208. Suppose d = s - 565. Suppose -997 = -3*n + s. Is n a prime number? False Let a = -41600 - -101409. Is a a composite number? False Let z(o) = 219*o - 16. Suppose 0 = t - 3*k + 6, t = 4*t - 2*k - 3. Is z(t) a prime number? True Let h(i) = -805*i - 16. Is h(-1) a prime number? False Suppose 384 = 2*t + 944. Let l = 122 + t. Let m = l + 225. Is m prime? True Let c(k) = -127*k + 1. Let a = 12 - 18. Let w be c(a). Suppose 0*b + d = 4*b - w, 3*b - 569 = 4*d. Is b prime? True Suppose 1 - 26 = -5*w, -4*w = -5*t + 18805. Suppose 5*n - t = 5*u, 1015 = n + 4*u + 272. Is n a prime number? True Let t(c) = 171*c - 17. Let b be t(-9). Let v = b - -2955. Is v a composite number? False Suppose -11*v + 86541 = 10*v. Is v prime? False Suppose n - 2 = 3*g - 1, 3*n - 4*g + 2 = 0. Is (n - -3) + (-1360)/(-1) prime? True Suppose -6*m = -12*m + 115002. Is m a prime number? False Let p = 33 - -31. Let q = p + -6. Is q a composite number? True Let t(d) = 946*d**2 + 4*d - 1. Is t(-3) composite? False Suppose x = -2*x - i - 2089, -3*i = 3*x + 2097. Is 1/(-1 - 700/x) prime? True Suppose -5*r - 5*d = -8815, 76*r + 7028 = 80*r - 2*d. Is r a prime number? True Let y(v) = -v**2 - 14*v - 14. Let b be y(-10). Let o = 25 - b. Is (-2 - 676)/(-1) + o composite? False Let t(d) = -105*d**3 - 3*d**2 - 3*d. Let b be t(3). Is 6/(-15) - b/15 composite? False Let c(q) = 7*q**3 + 2*q**2 - 4*q + 2. Let y be c(2). Let m be 2/4 + 74/4 + 2. Suppose x - m = y. Is x a prime number? True Let w(v) = -240*v**3 - 60*v**2 - 13*v - 5. Is w(-7) prime? False Is ((-3)/18)/(5821571/646842 - 9) a composite number? False Let t be 44 + 0 - (-2)/(-1)*1. Suppose 0 = 5*p - t - 23. Is p a prime number? True Let y = 4592 + -3128. Let k = 631 + y. Is k prime? False Is 126/21*417/9 a composite number? True Let o = 99 - 69. Let f = o + -7. Is f a prime number? True Suppose 5*g - 35 = -3*v, -2*g + 3*v - 2 - 5 = 0. Suppose -j + g*y = -1115, -4*j + 3075 = y - 1470. Is j composite? True Suppose -18645 = -28*c + 473287. Is c a composite number? False Suppose 0 = -2*n + 3*f + 2282 - 249, 2*f + 4046 = 4*n. Is n composite? False Suppose 3*x + 2*r - 10793 - 27752 = 0, 5*x - 64239 = -2*r. Is x a composite number? True Suppose -6*c + 357 = -5*c. Let o(x) = x - 3. Let n be o(6). Suppose -177 = -n*l + c. Is l composite? True Let g = 44 - 46. Is g/9 + (-24452)/(-36) composite? True Let p be 608 - 3 - (-1)/1. Suppose 3*c - s = p, -7*c + 2*c + 1002 = s. Suppose 0 = 5*v, 3*v = 5*i - c - 184. Is i prime? False Suppose -8*m + 5*m = -45. Suppose m*z - 24 = 19*z. Is 5 - 1 - 450/z a prime number? True Let w(r) = 79*r**3 - 8*r**2 + r - 13. Is w(6) a prime number? False Let o(w) = 8*w**2 + 2*w + 1. Let x be o(-1). Let n(s) = 3*s**2 + 3. Let i(j) = 5*j**2 + j + 7. Let v(t) = x*n(t) - 4*i(t). Is v(12) prime? True Let o(d) = -4 + 0*d + 3*d**2 + 2 - 2*d - d**3. Let b be o(5). Let y = b - -100. Is y a composite number? True Suppose 4*h = h + 18. Let j(v) = 8*v**2 - 19*v + 5. Let d be j(3). Suppose h*b - 22 = d. Is b a composite number? False Let p = 36743 - 8914. Is p a composite number? True Let d(n) = -n**3 - 5*n**2 + 6*n + 9. Let p be d(-6). Let h(w) = -3*w**2 - 5 + 5*w**2 - 4*w**3 - 5*w + 2*w**2 - p*w**2. Is h(-4) composite? False Suppose -k + 0*k + 2 = 0. Suppose t - 1638 = -a - 2*t, 5*t - 3277 = -k*a.
{ "pile_set_name": "DM Mathematics" }
z. 5 Let k be ((-4)/(-6))/((-16)/(-1560)). Let h = 68 - k. Suppose -4*l + 57 + h = 0. Solve 5*q = 2*q + l for q. 5 Suppose 28 - 34 = -2*u. Let a be (27/(-6))/(u/(-16)). Suppose -3*m = o + 4*o - a, 12 = 4*m. Solve -8 = -o*v + 7 for v. 5 Let t(z) = -4*z**3 - 25*z**2 - 91*z + 25. Let o be t(-6). Solve 9*s + 526 - o = 0 for s. 1 Suppose 3*w - 1 = 3*q - 4, 3*w = -3. Suppose q*t + 3*t = 3*j + 3, j = -t + 3. Let l be 10/(-4)*(t + (-96)/30). Solve -6 = l*p + 3 for p. -3 Let h be (0 - 2)/(-5 + 3). Let a be h - 3/(-4 - -7). Let n be (160/(-140))/((-2)/7). Solve n*z - 25 + 9 = a for z. 4 Let u = -4 - 78. Let z = u - -93. Solve 3*t - 2 = -z for t. -3 Suppose -3*p - p - 8 = 0, p + 53 = i. Solve -9*n - 12 = i for n. -7 Suppose h - 1 - 4 = 0. Suppose 5*k + 22*x - 24*x - 8 = 0, 4*k = -h*x + 13. Solve 2*l - 4 = k for l. 3 Suppose 3*a - 12*t + 9*t - 66 = 0, 0 = -a - 4*t + 7. Solve 55*l - a = -294 for l. -5 Let i(b) = -21*b**2 + b + 7. Let l be i(-2). Let n be -3 - (5 + 5 + l). Let m = 68 - n. Solve -10 = -m*f - 2 for f. 4 Let u = 28 + 85. Let b = -18 + 137. Let i = b - u. Solve i*a - a = 0 for a. 0 Let j(m) = -8*m**3 - 3*m**2 - m - 1. Let n = -2 - -1. Let r be j(n). Suppose 5*f - 4*g - 16 - 9 = 0, 25 = r*f - 5*g. Solve 4 = f*c - 11 for c. 3 Suppose 2*z + 18 + 16 = 4*x, -4*x = 4*z - 4. Let a be 28 + (-9 - (-12 + x)). Solve 0 = -5*f - 0*f - a for f. -5 Let z(y) = y**3 + 16*y**2 - 11*y + 31. Let w be z(-17). Let g = w - -75. Suppose 0 = -x - d + 10, -74 = -9*x + g*x + d. Solve x = -5*l - 11 for l. -5 Let j = -243 - -320. Solve 0 = -72*i + j*i - 5 for i. 1 Suppose 90 - 102 = -4*i. Suppose 15*j = 16*j - i. Solve 14*c - 13*c = j for c. 3 Let u = -115 - -117. Suppose 8*q + 33 = 3*p + 9*q, -5*p + 44 = -2*q. Solve 4*c - p + u = 0 for c. 2 Let x(b) = 2*b**2 + 19*b - 15. Let s be x(-11). Let d(j) = -j**2 + 20*j - 36. Let w be d(s). Solve w = 6*n - n + 15 for n. -3 Let r(u) be the third derivative of -u**4/24 + 23*u**3/6 + 66*u**2. Let a be (17 - -3) + -4 + 2. Let q be r(a). Solve 0 = q*o - 5 for o. 1 Let g = 58 + -97. Suppose -2663 = -95*h + 1232. Let a = h + g. Solve a = u + 5 for u. -3 Let y(s) = -152*s - 7235. Let p be y(-48). Solve -p*z + 79*z + 18 = 0 for z. -1 Suppose -4*p + 2*s + 34 = 0, 2073*s - 2076*s - 21 = -3*p. Solve -p*i - 24 = -2*i for i. -3 Let p(c) = c**3 - c**2 - 8*c + 15. Let b be p(2). Let g be 4/10 + (-3072)/(-120). Let r = -23 + g. Solve -r*q - 9 = b for q. -4 Let y = 288 + -284. Solve y*v + 16 + 4 = 0 for v. -5 Suppose -4*g = r - 6*r - 85, -5*g + 4*r = -95. Solve g*h + 10*h = 100 for h. 4 Suppose -38 = -5*b + 2*j, -b = 2*j - 105 + 119. Let v = 82 + -45. Suppose -2*c = 7 - v. Solve q = -b*q + c for q. 3 Let d be 43/1 + (11 - 2)/3. Suppose 0 = -38*x + d*x - 24. Solve x*a + 7 = 1 for a. -2 Suppose -2*u + 19*x = 18*x - 18, 2*u = 3*x + 14. Solve -u*b = -2 + 62 for b. -6 Suppose -39 = -4*m - 3. Suppose 0 = -m*u + 19*u + 80. Let w be 16/12*(-12)/u. Solve w*g - 3*g = 0 for g. 0 Let i be -7 + (3/2 - 2)/((-3)/102). Solve i*j - 63*j = -212 for j. 4 Let x(m) = -70*m + 10. Let p be x(0). Suppose 5*l = 4*o + 4 - 48, -2*o + 3*l = -20. Solve -p*b + 6*b = o for b. -4 Suppose 648*i - 48 = 646*i. Solve -29 = i*z - 5 for z. -1 Suppose 0 = -u - u. Let g(b) = -9*b + 0*b - 2*b**2 - 14*b + 5*b**2 - 3. Let f be g(8). Solve u*v = -f*v for v. 0 Let o = 63 - 53. Let v be 1 + 5*4/o. Suppose 5*j = h + 15, -v*h - 3*j = -j - 6. Solve 3*t - 6 = -h*t for t. 2 Suppose 3*m - 7*m = 0. Suppose -72*u + 263 = -385. Solve -3*j + m = u for j. -3 Suppose 1062 = -15*x + 1482. Solve 5*g + x = -2 for g. -6 Let a(y) = -29*y**3 - 56*y**2 + y + 4. Let x be a(-2). Solve -x*o = -14 + 4 for o. 1 Let d(v) = -v**3 + 2*v**2 + 4. Let i be d(0). Suppose 0 = 4*l + i*p - 8, 0*l - 4*l - 3*p = -8. Suppose l*h - 7 = 3. Solve -2*r + 5 = -h for r. 5 Suppose -4*j + 4*c - 6*c = -282, -5*c = 4*j - 273. Let w = j + -69. Solve -6 = -w*r + 6 for r. 4 Let q(b) = 3*b**3 - 15*b**2 + 2*b - 38. Let l be q(7). Solve 28*j + 102 - l = 0 for j. 6 Let d be (-1706)/(-10) - 7/(-5). Suppose -d + 176 = 2*l. Solve 0*n - l = -n for n. 2 Let n(x) = x**3 + 25*x**2 + 65*x - 22. Suppose 114 = m + 136. Let a be n(m). Solve 2*u - 32 + 24 = a for u. 4 Suppose -15*o + 463 = -4*o - 802. Solve -4 = -119*m + o*m for m. 1 Let z be 6 + (-195)/13 - -11 - 0. Solve -5 = 3*r - z for r. -1 Suppose g + 34 = 5*z, 10 = -3*g - 2. Let m(r) = -11*r - 30. Let t(w) = 4*w + 10. Let o(a) = -3*m(a) - 8*t(a). Let p be o(-7). Solve 0 = -3*q + z + p for q. 3 Let k = -705 + 704. Let m be (-6 + k)*(126/(-98) - 0). Solve -13 = 4*z - m for z. -1 Let r be (0 + 23)*4/(-2). Let q be (0 - (-22)/4) + 23/r. Solve -q*n = -3*n for n. 0 Let d = -17 - -35. Let r(l) = -d*l + 6*l + 15*l - 35. Let m be r(13). Solve m + 8 = 4*v for v. 3 Let p be 1 - (40/(-12) - (-4)/(-6)). Suppose 0 = 4*t + p*j - 26 - 18, j = -t + 10. Solve -4*v - 2 - t = 0 for v. -2 Suppose 10 = 2*g - 4*g, -3*n + 3*g + 129 = 0. Suppose 40*d = n*d + 8. Solve -2*q = -d - 2 for q. 3 Let x = -1669 - -1677. Let y be x - (3 - (15/3 + -5)). Suppose 2*u + 4 = -3*p - 0, 0 = -2*u - 2*p - 2. Solve y*v + 4 = -u for v. -1 Suppose -22*f - 675 = -17*f. Let j be (2/6)/((-9)/f). Solve 4 = -9*x + j*x for x. -1 Let m be (7 - 6) + 2*356/8. Solve m*h - 84*h - 30 = 0 for h. 5 Suppose 0 = 2*v + t - 6162, 12*v - 7*t + 10*t - 36978 = 0. Solve 3076*d - v*d - 18 = 0 for d. -3 Suppose -l + 3 = 0, -4*c + 8 = 4*l - 4. Let u = -454 - -457. Suppose -4*p + 38 + 22 = 0. Solve u*y = -c*y - p for y. -5 Let h(m) = m - 25. Let b be h(25). Solve 55*z - 10*z + 270 = b for z. -6 Suppose 14 = 12*n + 6 - 28. Solve n*i = -207 + 192 for i. -5 Suppose -178 = -2*a - 4*d, 0 = 18*d - 22*d - 12. Solve -16*p - a = -31 for p. -4 Suppose 6*u = 5*u. Suppose -11*m + 12*m - 10 = u. Suppose -54*x = -49*x - m. Solve -q - x = q for q. -1 Let w(d) = 203*d + 1050. Let n be w(-5). Solve 5097*l + n = 5090*l for l. -5 Let r(i) = -2*i + 4. Let q be r(-4). Let d(z) = z**3 - 12*z**2 - 2*z + 44. Let j be d(q). Solve -22*n + 27*n = -j for n. -4 Suppose 3*j = -2*q + 175 + 163, 2*q = 5*j - 526. Solve -124 = 58*v + j for v. -4 Let w = -1867 - -1872. Solve -w*c = -c - 20 for c. 5 Suppose 12*w + 13 - 49 = 0. Suppose w*p - 3*k - 9 = p, 2*p - 5*k - 3 = 0. Suppose 4*a = 6*a - 5*i - p, -2*a = 5*i + 1. Solve 0 = -h - a*h - 12 for h. -4 Suppose 5*g - g - 3*s - 10 = 0, g - s = 2. Let u = -4 + 6. Suppose -u*t + g - 4 = 0. Solve t*n = 3*n - 15 for n. 5 Let h = 7 - -1. Suppose 16*p - 6 = 15*p. Suppose 5*q - p*q = -3. Solve -h - 4 = -q*l for l. 4 Suppose 162 = 2*f - 46*v + 47*v, -5*v = -2*f + 186. Solve -85 = 24*n + f for n. -7 Let j = -125 - -178. Let l = j + -53. Let t be 1 + ((-8)/4 - -4). Solve -t*c + l - 3 = 0 for c. -1 Let j be (1 - 375)*(4 + -8)/(-4). Let p = -367 - j. Solve 4 = -l + p for l. 3 Suppose -2871 = 636*l - 665*l. Solve 0 = 68*w - l*w for w. 0 Let k be -2 + (0 - 1 - (-3 - 6)). Suppose 14*g - k = 11*g. Let v be (-10*g/(-6))/((-18)/(-27)). Solve 4*a - v = -a for a. 1 Let q(x) = -76 + 23*x + 3*x + 21*x**2 + 0*x - x**3. Let j be q(22). Solve -3*u - 3*u - j = 0 for u. -2 Suppose 571*j + 2*n - 8 = 568*j, -3*n = -j - 12. Solve 0 = b - j*b for b. 0 Suppose 1078 - 683 = 79*w. Solve -15*n + 40 = -w*n for n. 4 Suppose -16*p + 55 + 89 = 0. Solve 13*i - p*i + 12 = 0 for i. -3 Let r = -131 - -133. Suppose 4*s - 34 + 14 = 0. Suppose s*y = 3*c + c - 12, -5*c - r*y = -15. Solve k + 0 = -c for k. -3 Suppose -4*l - 16 = r, -3*l + 4 = 4*r + 3. Let o = 9 + l. Solve 0 = 4*j - 0*j - o for j. 1 Let r(x) = -x - 2. Let f(h) = -h**3 + 7*h**2 + 6*h + 8. Let u(c) = -f(c) - 6*r(c). Let s be u(7). Solve 6*p - 10 = s*p for p. 5 Let p(s) = -10*s - 29. Let f = 4 - 12. Let z(c) = -3*c - 10. Let d(y) = f*z(y) + 3*p(y). Let j be d(-2). Solve -4*r = 7 + j for r. -3 Let g = -4935 + 4953. Solve 54*n - g = 63*n for n. -2 Let x(m) be the second derivative of -m**4/12 - 19*m**3/6 + 49*m**2 - 5*m - 7. Let f be x(-23). Solve 2*z - f*z = 16 for z. -4 Let x(k) be the first derivative of k**4/4 - 43*k**3/3 + 40*k**2 + 87*k + 241. Let j be x(41). Solve -8*h + 15 = -j*h for h. 5 Let p be 1/((3 - 1/(-2)) + -3). Let i(g) = -7*g - 21 + g**p - 17*g + 29*g. Let o be i(-8). Solve -1 = o*z - 10 for z. 3 Suppose -2*o + 4*h - 60 = -6*o, 4*h = -5*o + 71. Let t(s) = -11*s + 121. Let m be t(o). Solve -8*n = -m*n - 32 for n. 4 Let l = -47
{ "pile_set_name": "DM Mathematics" }
7)/(-84))/(18/(-48))*2? -4/9 Evaluate ((-96)/1360)/(18/30). -2/17 (-27)/(-2)*258/(-387) -9 What is the value of (1/(4/(-50)))/((-14)/28)? 25 What is 2/(-8)*0*(275/22)/(-25)? 0 Calculate ((-20)/45)/((-17)/1836*3). 16 ((-621)/(-5796))/((-4)/(-14))*2 3/4 What is the value of ((50/75)/(1/2))/((-5)/75)? -20 Evaluate (24/(-3))/(-15*78/65). 4/9 What is 5*(-11)/(-220)*(-16)/(-222)*-3? -2/37 Calculate ((-378)/(-9))/6*1. 7 Evaluate (12/(-15))/(14274/915). -2/39 What is the value of (-1)/2*104/962? -2/37 What is ((1/(9/6))/(3/(-9)))/7? -2/7 Calculate -1*6/4*(1920/(-108))/(-40). -2/3 What is the value of 2/((-40)/(-36))*((-50)/3)/5? -6 What is the value of 8*3/(-42)*210/20? -6 What is (-2)/10*2*(-19)/(19/15)? 6 ((-12)/18)/(26/(-3549))*(-6)/(-21) 26 Calculate 8/102*-2*(45/20)/(-3). 2/17 What is the value of 15/15*(-49)/(-98)? 1/2 Calculate (-2*126/(-24))/(3/(-2)). -7 What is the value of ((-2100)/45)/(-14)*6/5? 4 Calculate (3*4/(-72)*-9)/(12/(-80)). -10 13/(-169)*8/6*(-117)/(-52) -3/13 What is the value of -1*(((-5)/10)/((-65)/(-90)))/(-3)? -3/13 Calculate (-312)/520*5/6. -1/2 (1/(-12))/((121/66)/11*-2) 1/4 Evaluate ((-45)/(-25))/((-48)/(-400)). 15 Evaluate ((-8)/16)/(156/364). -7/6 Calculate ((-21)/105)/(2/5)*(-30)/(-18). -5/6 What is the value of (12/105*(-15)/24)/(2/(-16))? 4/7 What is (-8)/(-128)*14*20*4/(-7)? -10 What is the value of 0/(-26)*7/14? 0 Evaluate (-37)/(62271/44)*9/(-2). 2/17 What is the value of (26/39)/((-14)/(-273))? 13 Evaluate 3*(76/133)/(3*(-46)/7). -2/23 What is 16/10*1110/296? 6 Evaluate 3*((-260)/(-90))/(-13). -2/3 What is the value of ((-24)/9)/((-1)/8*(-248)/372)? -32 Evaluate ((-576)/432)/((-8)/(-54)). -9 What is (-13)/3*1/(-4)*12? 13 Calculate 164/82*(-1)/2*-9. 9 What is the value of -1*1*(-10)/(-30)*4/(-4)? 1/3 What is ((-42)/(-896)*16)/((-42)/(-16))? 2/7 What is (-12)/14*168/(-60)*-5? -12 Calculate (6/(-56))/((-70)/(-280)). -3/7 What is the value of ((418/(-99))/(-19))/(1/9)? 2 Evaluate ((-16150)/285)/(40/12). -17 (-510)/(-85)*((-4)/1)/((-12)/2) 4 Calculate (3/168*6)/(((-35)/1)/140). -3/7 (-336)/(-616)*286/195 4/5 Calculate (3/(-51))/(345/(-1173)). 1/5 What is the value of (-144)/48*(-92)/18*36/(-24)? -23 Calculate (4/(-1*147/(-7)))/((-2)/3). -2/7 Calculate (-15)/(-2)*(-7)/((-490)/(-56)). -6 Calculate 6/4*(-28)/(-49)*35/(-5). -6 What is the value of 9*(-47)/(423/10)? -10 Calculate ((340/51)/(-20))/((-10)/150). 5 What is (((-6)/(-210)*14)/(-2))/(2/(-50))? 5 Evaluate 3*16/(-264)*(-77)/28*0. 0 What is the value of (-108)/(-315)*7*((-30)/(-4))/(-3)? -6 Evaluate 7*(-5)/(175/60). -12 Evaluate (9*7/(-168))/((-1)/(-4)). -3/2 Evaluate ((-696)/1392)/((-2)/(-128)). -32 Calculate (-246)/2*(2650/150)/(-53). 41 Calculate (11/(-264)*8)/5. -1/15 What is 4*(-10)/((-6400)/(-10))? -1/16 What is the value of ((-1320)/605)/((-4)/33)? 18 What is 1*(-4)/(8/(-2))*3*2? 6 Calculate (380/(-171))/(12/54). -10 ((-17)/(-68))/(((-2)/48)/((-108)/(-24))) -27 Evaluate -30*(-3)/324*240/150. 4/9 Calculate ((-182)/65)/((-7)/525*10). 21 What is the value of ((-360)/(-96))/((-1)/4*-3)? 5 -7*8*5/(-360)*-27 -21 Calculate ((-72)/196)/(51/(-119)). 6/7 What is the value of ((3/4)/(108/(-396)))/((-1)/4)? 11 Evaluate (120/90)/(32/6). 1/4 What is the value of (-6*25/(-315))/(50/(-350))? -10/3 What is (-10)/(-33*(-88)/1452)? -5 Calculate ((-5)/(-40))/((-700)/224). -1/25 What is the value of (10/(-6))/5*-18*992/192? 31 What is (105/(-7))/(20/24)? -18 Calculate (4*3)/((-3)/6)*(-1683)/(-15147). -8/3 Calculate (8/(-88))/((-59)/3245). 5 What is (6/(-56)*6)/((-262)/917)? 9/4 What is the value of ((-3)/18)/((-2)/(-3)*594/(-108))? 1/22 Evaluate (2/4)/(112/16)*8/2. 2/7 What is (18*(-36)/(-48))/((-37)/74)? -27 Evaluate (4/81)/(11/((-264)/(-32))). 1/27 Calculate ((1/3)/1)/((-4)/864*-6). 12 Evaluate 14*(80/(-10))/(-16). 7 Calculate 3/87*-1*3/(9/6). -2/29 What is (2/(-10))/(475/(-875)*-14)? -1/38 What is ((-4)/8)/((-59)/118)*(-2)/(-6)? 1/3 Evaluate (768/(-312))/32*(-5)/10*-8. -4/13 Evaluate ((-7)/(-6)*(-27)/(2079/22))/1. -1/3 What is (20/6)/(8/((-144)/(-15)))? 4 What is the value of 864/756*42/180? 4/15 What is the value of (17/1666*49)/(((-10)/(-3))/(-2))? -3/10 ((-8)/((-1440)/9))/(((-9)/3)/(-24)) 2/5 Calculate (12/(396/121))/(5/(-15)). -11 Calculate ((-12)/(-24))/((-77)/(-132)*-1). -6/7 What is ((-377)/10179)/(3/6)? -2/27 What is (-51)/(-34)*4/9*9/4? 3/2 (-8)/4*(-38)/3*(-108)/(-144) 19 What is the value of (-39)/(-26)*(-2)/(-9)*(-936)/39? -8 What is ((-246)/(-11193))/(6/26)? 2/21 Evaluate ((-2)/(-20)*-6)/(-14*(-2)/140). -3 What is the value of (3/8)/(18/(-56))*-1? 7/6 What is (8/(-34))/(390/(-1105))? 2/3 What is the value of ((-2)/(-3))/((-2)/21*(-133)/(-76))? -4 Evaluate (((-198)/9)/(60/(-6)))/((-6)/(-30)). 11 What is (13/(-39))/(12/(-180))? 5 What is 24/(-10)*(1155/(-14))/33? 6 Evaluate (-2*(-16)/3)/(87*(-424)/(-27666)). 8 What is ((-4)/5)/((-412)/13390)? 26 What is ((-12)/(-36))/((-15)/(-180)*(-4)/5)? -5 What is (36/(-14))/((-13)/(-4186)*46)? -18 (12*-1)/(30/12*(-20)/(-25)) -6 What is (-13*(-18)/(-780))/(2/(-140))? 21 Calculate -23*3/((252/(-7))/12). 23 (-72)/84*-3*6/36 3/7 Calculate (-10)/4*35/((-19600)/(-84)). -3/8 What is the value of ((-140)/(-390))/14*2*(-15)/10? -1/13 Calculate 8*(-132)/192*2. -11 Evaluate 1/((30/(-5))/78). -13 Calculate (-1250)/(-750)*60/(4/1). 25 What is 13/(468/192)*525/100? 28 Evaluate 3*(((-19)/(-2))/(-19))/(3/6). -3 Calculate -1*(-24)/120*-125. -25 What is the value of -2*-11*27/(-594)? -1 1*(-6)/45*73/((-1533)/(-420)) -8/3 What is the value of (-5)/((-160)/(-28))*(-135)/(-1890)? -1/16 Calculate (-3*2/75)/((-48)/480). 4/5 Evaluate (59/(-1652))/(4/(-14)). 1/8 (0/((26/78)/(2/12)))/2 0 What is the value of ((-80)/(-200))/((1/10*2)/1)? 2 What is the value of 4*7/(-294)*(-6)/(-48)*12? -1/7 Evaluate (-5*(-4)/30)/((5/(-1))/15). -2 Evaluate ((-40)/(-2200))/(2/30). 3/11 What is (-2)/6*(-231)/(-385)? -1/5 What is 15/((-90)/24)*(-8)/(-128)? -1/4 Evaluate ((-9)/18)/(30/(-24)*(-2)/(-60)). 12 Evaluate (-1530)/(-680)*(-2)/12. -3/8 What is ((-9)/(-35))/((35934/(-265))/(-113))? 3/14 3/(-4)*(-36)/(-27)*-2 2 What is the value of (2/(-6))/(21/(-630)*(-60)/42)? -7 Evaluate (-9)/(-9)*(3/(-9))/(13/273). -7 What is the value of 42/(-8)*((-6160)/(-231))/(-5)? 28 What is (81/54)/((-30)/1)? -1/20 Calculate (4/70)/(3*(-7)/840). -16/7 (750/2250*3*2)/(7/2) 4/7 What is ((-260)/(-91))/(5/14)? 8 -14*(-24)/560*5 3 What is the value of 13644/2653*(-7)/2? -18 (((-257040)/(-320))/153)/((-7)/(-24)) 18 (5/(-225)*27)/(((-462)/40)/7) 4/11 Evaluate (3036/2530)/(((-2)/1)/30). -18 (-1*1260/(-35))/((30/4)/5) 24 Calculate 747/2739*(-44)/(-6). 2 Calculate ((-1)/1)/(((-6)/(-15))/((-672)/(-240))). -7 Calculate 42/((240/(-30))/(-4)). 21 (-76)/((-266)/14)*(-2)/12 -2/3 (0/1*113/339)/1 0 What is (120/50)/(24/150)? 15 Evaluate ((-18)/216*6)/((1*-3)/(-6)). -1 ((-1840)/(-1380))/((-8)/(-10)) 5/3 What is the value of 10*27/810*-21? -7 Evaluate 32304/(-3365)*(-10)/(-4). -24 Calculate ((-6)/(-8))/(((-498)/(-26560))/(4/10)). 16 Evaluate (3/100)/(48*(-26)/(-1664)). 1/25 Calculate (-1)/((-8)/(-12))*40/60*-15. 15 What is (36/2)/(-3)*((-1920)/(-90))/(-16)? 8 (2/10)/((-1)/(-1*45/54)) 1/6 Evaluate (1/(-55))/((-24)/120). 1/11 ((-1224)/144)/((-2)/(-4)) -17 What is the value of (-5)/((-75)/24)*-50*(-189)/3240? 14/3 Calculate (1*7)/((-370)/(-370)). 7 (-4)/(-1)*5*28/70 8 Evaluate (((-4)/(-6))/((-5)/55))/(18/27). -11 What is (((-252)/(-98))/9)/((-9)/14)? -4/9 Calculate (394/985)/((-29)/5). -2/29 Evaluate (54/(-4))/(-9)*246/738. 1/2 Evaluate (-9)/(-6)*36/15*1240/186. 24 Calculate 1/(-11)*385/(-630). 1/18 What is the value of 1278/(-2130)*2/114*-5? 1/19 Calculate -28*3/36*-3. 7 ((-8)/(-84))/((-52)/(-78)) 1/7 8/(224/4)*-3 -3/7 Calculate ((-40)/1620)/(2/(-6)*(-6)/(-6)). 2/27 Calculate ((-28)/(-35))/((-25)/((-1000)/(-528))). -2/33 Calculate 319/44*(-234)/(-377). 9/2 (((-30)/(-10))/(14/(-1)))/((-6)/(-8)) -2/7 What is the value of 4/(384/72)*28? 21 What is the value of (-18)/((-3024)/(-24))*-3? 3/7 Calculate (-25)/50*(-2)/2*12/14. 3/7 What is the value of ((-621)/46)/27*(51*-1)/(-3)? -17/2 ((4004/110)/(-26))/(3/(-15)) 7 Evaluate ((-54)/10)/(273/(-455)). 9 What is (-1)/(8/96*(-12)/22)? 22 What is (-70)/161*(-4)/(-20)? -2/23 What is (48/56)/(492/574)? 1 What is ((-233)/(-233))/(((-2)/2)/(-3))? 3 What is 40*((-30)/(-48))/((-10)
{ "pile_set_name": "DM Mathematics" }
+ i = -13 for c. -4 Let x(q) = -q**3 + 15*q**2 + 42*q - 398. Let z be x(16). Solve -z*g + 18 = -12*g for g. 3 Suppose w + 14*w = 90. Solve 0 = 7*r + w*r - 52 for r. 4 Suppose u + 21 = 4*u. Let z(g) = -10*g - 259. Let a be z(-27). Let i = a - u. Solve -2*k + 6 = -i for k. 5 Suppose 0 = -12*g - 30*g + 504. Solve -g*z = -23 - 13 for z. 3 Suppose 5*h = -5*c, 4*h = 3*c + c - 24. Let q be (1 + 4/h)*-1*9. Solve 0 = -0*w - 3*w - q for w. -1 Suppose -3*g + 0*o - 2*o = -19, 3*g - o = 22. Let a(w) be the first derivative of -w**4/4 + 8*w**3/3 - 7*w**2/2 - 27. Let b be a(g). Solve -j - 1 = -b*j for j. -1 Let t = 60 + 4. Suppose 2*g = -h + 35, -4*h + t = 4*g - 0*h. Suppose -3*v = -c + 14, 0*v + g = 5*c + 2*v. Solve -a = -c*a for a. 0 Let i = 84 + -81. Solve -10 + 4 = i*d for d. -2 Let n = 20 + -16. Let q(p) = 3*p - 10. Let z be q(n). Suppose -k + 9 = z*k + 2*a, -3*a = 4*k - 11. Solve k*w = 3*w for w. 0 Let s = -231 - -235. Solve x + 15 = -s*x for x. -3 Let y(z) = 3*z**2 - 8*z + 6. Let t be y(4). Suppose -4*o + 4 = 4*s - 24, -s = 4*o - t. Solve -2*p + s = -8 for p. 5 Let i be (-1)/(3/(-6)) - 0. Let h(r) = r**2 - 5*r + 2. Let c be h(i). Let g be 1*(-2)/c*6. Solve g = -3*s - 6 for s. -3 Let u be 5*(-4 - 72/(-15)). Solve u*f - 14*f + 10 = 0 for f. 1 Let t(b) = -5*b - 2. Let f(h) = 4*h + 2. Let c(j) = 3*f(j) + 2*t(j). Let r be c(0). Solve r = -3*d - 4 for d. -2 Suppose 4*b - 5*l + 16 = 0, -5*b - l + 2*l + 1 = 0. Suppose -3*y - 3*o + 3 = 0, 2*y + 0*o + 3*o = -b. Let c be (-4)/20 + (-11)/(-5). Solve -u + y = c for u. 2 Let f(z) = 7*z**3 + z**2 + 2*z - 2. Let g be f(1). Solve g*i = -26 + 2 for i. -3 Suppose -2*g + 4 = 0, -4*g + 2*g = -4*w. Let d = -269 - -269. Solve d*k + k = w for k. 1 Let t(h) = -h**3 - 12*h**2 - 15*h - 35. Let j be t(-11). Solve -11 = 5*y + j for y. -4 Let l = -2834 + 2868. Solve l = 8*a - 6 for a. 5 Let t(k) = 2*k - 5*k + k**2 + 2*k - k - 8. Let s be t(4). Let y be (s/((-8)/(-4)))/2. Solve 4*i = -y*i for i. 0 Let k = 4 + -2. Let r be 1/k + (-4)/(-8). Solve -3*x + r = 4 for x. -1 Suppose 5*l + 3*q + 2*q - 15 = 0, 6 = -2*l + 2*q. Let v be (l + (-2)/(-6))*27. Solve -5*i - v = -2*i for i. -3 Suppose -5*z - 7 = -4*j - 0*z, -j = -5*z - 13. Let x be j + (-12)/(-3) - -3. Suppose 128 = 5*m - 3*y + 2*y, x*y = -3*m + 60. Solve -4*i + 9*i + m = 0 for i. -5 Suppose 0 = 4*r - 2*u - 58, 5*r - 40 = -2*u - 2*u. Let y be 4/(5/(r - 2)). Solve -y = -2*m - 0*m for m. 4 Let w(o) be the first derivative of o**4/4 + 3*o**3 + 4*o**2 + 8*o + 3. Let h be w(-8). Solve 4*d + h = -0 for d. -2 Let r be 8/18 + 250/45. Solve r*y + 23 + 1 = 0 for y. -4 Let h be (3 - (-75)/(-20))/(2/(-72)). Suppose 7 - h = -j. Suppose 0 = -5*w - v + 25, -5*v = -2*w + 10 - 0. Solve 0*a - w*a = j for a. -4 Suppose -2*h = -394 + 390. Let o(r) = -r**2 + 8*r + 6. Let z be o(9). Let i = z - -4. Solve -h*s = -s - i for s. 1 Let z be 27/33 - 8/(-44). Suppose z = 3*n - 5. Let y(d) = d**2 - 4. Let a be y(-4). Solve -n*f = f - a for f. 4 Suppose 4*i - 14*m = -20*m + 72, -32 = -2*i - 5*m. Solve 6 = i*l - 19*l for l. 3 Let f(k) = 5*k - 2. Let d be 2 + 1 + -2 - -2. Let w be f(d). Let z = w - 9. Solve -z*g - 12 = -0*g for g. -3 Suppose -s = -2*r - 4*s + 22, 0 = 4*r + 4*s - 36. Solve -20 = 3*l - r for l. -5 Suppose -15 = -11*m + 18. Solve j - m*j = -2 for j. 1 Suppose 4*s + 3*z + 1 = 0, z = -s + 4*z + 11. Solve s = -2*l - 0 for l. -1 Let g = 816 - 816. Solve -13*d + 15*d + 10 = g for d. -5 Suppose 37 = -2*q + 95. Solve -21*i - q = 13 for i. -2 Let z = -6 - -29. Solve 6 = 21*o - z*o for o. -3 Let n(x) = x**3 - 6*x**2 - x - 6. Let y be n(6). Let c = y - -12. Suppose -2*q = -2*m + 2*q + 20, q + 19 = 4*m. Solve -a + c*a = -m for a. 4 Let f be (-2 + 12)/(70/28). Solve -f = 3*h + 5 for h. -3 Let w(n) = 46*n + 738. Let l be w(-16). Let u(q) = -q**3 - 4*q**2 - 5*q - 4. Let o be u(-3). Solve 0 = o*k + l for k. -1 Let b be (2/(-7))/(3/(-42)). Solve 5*c = -b*c - 18 for c. -2 Let x(s) = s**3 + 5*s**2. Let n = 7 - 5. Suppose 2*g - d = -7, n*g + 3*d = 4*g + 1. Let u be x(g). Solve -4*y - 1 + 13 = u for y. 3 Suppose -57 = 11*j - 112. Solve -3 = -j*q + 7 for q. 2 Suppose i = 3*u - 97, 5*u - 9 = i + 156. Let m = u - 31. Solve m*n + 0*n = -15 for n. -5 Suppose 0 = 128*y - 113*y - 150. Solve -143*d + 141*d - y = 0 for d. -5 Let i(c) = -6*c**3 - 2*c**2 - 2*c - 1. Let f be i(-1). Let b(u) = -u**3 + 3*u**2 + 2*u + 9. Let g be b(3). Solve 2*x = f*x - g for x. 5 Let b = 4 + 20. Let x be 7/3 + -2 + b/9. Solve 4*c = x + 9 for c. 3 Suppose -m = -4*t - 8, -t = -0*m + m + 17. Let l(r) = -3*r - 31. Let f be l(m). Solve -u - f = -1 for u. -4 Suppose q - 4 = 4*r, -3*r + r - 2*q + 8 = 0. Suppose -6*z + z - 1 = 4*k, z + 5 = r. Solve -2*c + k = c for c. 2 Let z be ((-2350)/(-5))/5 - 4. Let h be (-32)/40*z/(-4). Let c = h + -16. Solve -c*n - 10 = 3*n for n. -2 Let r(i) = -i**2 + 7*i + 4. Let m be r(7). Suppose 0*s - m*s = -5*h + 56, 2*h + 5*s = 29. Suppose -4*b = 2*x - 5*x - 20, 4*b = -5*x - h. Solve d = b + 3 for d. 5 Let o = -2984 - -2984. Solve o = -123*g + 119*g for g. 0 Suppose 7 = -4*p - 13. Suppose r + 2 = -0. Let l be (36/30)/(r/p). Solve 0*o + l*o = 9 for o. 3 Let p be ((-3)/2 - -3) + 168/(-16). Let h = 10 + p. Solve -f = -2*f + h for f. 1 Suppose -3*x = -4*x - 0*x. Suppose -5*t = -4*d - 2, -5*d + 5*t = 9*t - 18. Solve -6 = -x*j - d*j for j. 3 Suppose j = 5*r - 37, 31 = 5*r + 5*j - 3*j. Suppose -m = -4*u - r, u = -m - 1 + 3. Solve 0 = -8*b + m*b - 10 for b. -2 Let h(p) be the third derivative of -p**5/60 - p**4/3 + 5*p**3/3 + 2*p**2. Suppose -t = 2*k - 2, 2*t + 31 = 2*k + 5. Let i be h(t). Solve -5 = -3*b + i for b. 5 Let k = -57 + 61. Let l = k - 1. Solve 0 = -6*s + l*s for s. 0 Let r be ((-6)/(-5))/(6/70). Solve -z - 12 + r = 0 for z. 2 Let b be 4/(-1) + 7 + -3. Suppose -20 = -5*r - b. Solve -5 = -r*a - 1 for a. 1 Suppose 4*h + 18 = -3*o + 22, -3*o = 5*h + 1. Solve 37*b - o = 35*b for b. 4 Let d(c) = c**2 - c - 1. Let q(a) = 4*a**2 - 17*a + 17. Let p(n) = -3*d(n) + q(n). Let r be p(14). Suppose -4*k + r = 4. Solve 19 = 5*y + k for y. 3 Let r be ((-3)/6)/(2/(-12)). Suppose -p - 112 = -5*p. Suppose -p = -r*v + 68. Solve -4*m - v = -12 for m. -5 Suppose 48 = 6*h + 168. Let l be -3*h/12 + 3. Solve -l = z + z for z. -4 Let h(l) = -l**2 - 21 - 12*l + 29*l - 4. Let r be h(15). Solve -r*q + 4*q = -5 for q. 5 Let c(h) = h**2 - 5*h - 2. Let z(n) = n + 1. Let y(r) = c(r) + 3*z(r). Let u(k) = k**3 + k + 3. Let q be u(0). Let l be y(q). Solve 4*m = l + 4 for m. 2 Let s = -10 + 15. Suppose -s*r + 88 = 4*b, r - 4*b - 7 - 1 = 0. Let f be ((-4)/(-3))/(r/72). Solve 0 = f*a - 2*a + 4 for a. -1 Suppose 0 = 8*v - 11*v + 9. Suppose -v = -j - 1. Suppose -3 = j*u - 7. Solve 4 - 6 = -u*d for d. 1 Let l(y) = y**3 - 2*y**2 - 3*y - 3. Let t be l(3). Suppose 0*h - 2*h + 3*s = 0, -3*s = -h - 3. Let b be 0 + (5 - (h + t)). Solve 0 = b*w + 3 - 8 for w. 1 Let r be -6 + 3 + 1 + (-1 - 1). Let h be (r/(-3))/((-5)/(-75)). Solve -h = -4*o - o for o. 4 Let h = -5 + 7. Let p be -10*15*3/(-18). Solve -h*n + 7*n + p = 0 for n. -5 Let i be 2/((-6)/(-4) - 1). Solve 6*g = 2*g + i for g. 1 Suppose -p + 2 = -l + 11, -2*l - 3*p = -8. Solve t + 5 = l for t. 2 Let k = -61 - -95. Let r = k + -31. Solve 0*u + 3*u + r = 0 for u. -1 Suppose 0 = 23*b - 14*b - 72. Suppose -5*t + 0*t - 2*k + b = 0, -4*t + 4*k = 16. Solve 2*w + 0*w - 6 = t for w. 3 Let c = -2 + 9. Let n(k) = 6*k**2 + 30*k + 29. Let w(z) = -z**2 - 6*z - 6. Let u(r) = -2*n(r) - 11*w(r). Let m be u(c). Solve 3*i - 5 = m for i. 2 Let r(s) = -2*s**2 + s - 1. Let a be r(1). Let i = a + 5. Suppose -i*b = -8*b + 25. Solve l + 8 = b*l for l. 2 Suppose -15 = -4*m + m. Suppose -p + 2*d = -22, m*p - 2*d - 73 = 21. Let k = p - 7. Solve -k = -4*q - 3 for q. 2 Let v be 64 + -71 - -3*10. Solve -3 = v*o - 24*o for o. 3 Let l be -5 - 64/(-12) - (-8)/(-24). Solve 140*n - 136*n = l for n. 0 Suppose -113*d = -115*d. Solve d = 3*o + 3 for o. -1 Suppose 0 = 5*f - 42 - 13. Suppose 5*k - r - f = 0, -3*k + 2 = 2*r - 2. Let s be 15/k*(-6)/(-5). Solve -5*b - s = 11 for b. -4 Let j be (-6)/(-9) + 7 + (-15)/9. Solve 5 = j*t + 35 for t. -5 Let g(r) = -r + 11. Suppose -7*a + 16 = -5*a. Let t be g(a). Solve -3 = -3*l + t for l. 2 Suppose 5*d - 21 = -1. Let a be 18/45 + (84/(-15))/(-1). Solve -d*t = -a - 2 for t. 2 Let j = 48 + -73. Let l = j + 35. Sol
{ "pile_set_name": "DM Mathematics" }
0 = 5*o - 10*q + 8*q - 116, 4*o = -q + 85. Let y = 134 - 243. Let n = -22 - y. What is the remainder when n is divided by o? 21 Suppose 4*q - 85 = 5*y + 46, 2*q - 5*y = 73. Let z(l) = -l**2 + 8*l + 22. Let j be z(10). Suppose -10 = -s - j. What is the remainder when q is divided by s? 5 Let o = -423 + 449. Let w = 495 - 341. What is the remainder when w is divided by o? 24 Let d(i) = 2*i**2 - 2*i. Calculate the remainder when d(2) is divided by 1*(13 - 11)*(-1)/(-1). 0 Suppose -3*r - 109 + 421 = 0. Suppose -5*h + 0*h + 90 = 0. What is the remainder when r is divided by h? 14 Suppose 3 = -4*d + 3*f + 8, 0 = -d + f + 1. Let w(t) = 0*t**2 + 8*t + t**2 + t**3 + 7*t**d + 0*t**2. What is the remainder when w(-6) is divided by 5? 4 Let b = -11 - -9. Let y(v) = -27*v - 1. Calculate the remainder when y(b) is divided by 7. 4 Let n(i) = -i**3 + 24*i**2 - 18*i + 2. Suppose -35*y + 30*y = -115. Calculate the remainder when n(y) is divided by 30. 27 Let l = 366 - 330. What is the remainder when l is divided by 6? 0 Suppose 5*z = m + 21, 4*z + 6 - 18 = -4*m. What is the remainder when 18 is divided by z? 2 Suppose 0 = 5*s + 3*n - 150, 2*n + 3*n = 5*s - 190. Let c be ((-18)/21)/((-8)/28). What is the remainder when s is divided by -7*c/6*-2? 5 Suppose 0 = -3*l - 0*l + 54. What is the remainder when (21285/(-27))/(-11) - (-2)/(-3) is divided by l? 17 Let c(w) = w**2 + 13*w - 24. Let q be c(-15). Suppose q*l - 3 = 3. Suppose -1 - 5 = 2*h, 0 = 4*a + 4*h + 8. What is the remainder when l is divided by a? 0 Let i be (3/6)/(2/12). Suppose -i*a + 20 - 2 = 0. What is the remainder when 7 is divided by a? 1 Let q(z) = 2*z + 3. Let a = 1058 + -1006. What is the remainder when a is divided by q(4)? 8 Suppose -7*m = -6*m - 12. Suppose 6 - 57 = -j. Calculate the remainder when j/(-2)*12/(-9) is divided by m. 10 Let c = 23 + -21. Let g be 5 + c + -3 - 17. Let p(o) = -9*o - 19. Calculate the remainder when p(g) is divided by 33. 32 Let q(m) = m**2 - 6*m - 14. Calculate the remainder when 145 is divided by q(10). 15 Suppose -u - 115 = 5*f, -u = 3*f + 4*u + 91. Suppose 38 + 186 = -16*s. Let m = s - f. What is the remainder when 15 is divided by m? 7 Suppose 3 = 4*p + 4*a - 3*a, 4*p + 5*a = 15. Suppose p = -3*v - 61 + 364. Calculate the remainder when v is divided by 13. 10 Suppose 0 = -2*a + 17 - 5. Calculate the remainder when 165 is divided by a. 3 Suppose 4*x + 3*r = -21, 0*r + 5*r = -2*x + 7. What is the remainder when (-20)/x + -2 + 352/36 is divided by 9? 1 Suppose 0 = -4*a - 3*x + 522, 155 = 3*a + 4*x - 233. Let s(o) = 9*o + 1. What is the remainder when a is divided by s(2)? 18 Suppose -7*v + 117 = 33. What is the remainder when 3/(-2)*376/(-6) is divided by v? 10 Let k(c) = -c**2 + c + 1. Let w be 0/(-4*(-3)/(-6)). Let l be k(w). What is the remainder when 10 is divided by ((-1)/l)/(5/(-20))? 2 Suppose -5*x + 4*j + 88 - 58 = 0, 0 = -2*x - 4*j - 16. Calculate the remainder when (6 + -1)/((-1)/(-1)) is divided by x. 1 Suppose -1613*z + 1608*z + 60 = 0. Suppose 29 = 4*n + 9. Calculate the remainder when z is divided by n. 2 Let t = -96 + 98. Suppose 0 = -5*w - 4*m + 17, w - t*m = 4*w - 11. What is the remainder when w is divided by 3? 2 Suppose 2*h - 4*w - 29 = w, -4*h = -4*w - 52. Calculate the remainder when 59 is divided by h. 11 Calculate the remainder when (8 - 4 - -47)*(-42)/(-9) is divided by 10. 8 Suppose -3*a - 3*t = -9, t - 19 = -a + 4*t. What is the remainder when 13 is divided by a? 6 Let c = 8 + -4. Suppose 0 = -y - c*y - 25. Let i = 6 + y. What is the remainder when 3 is divided by i? 0 Suppose 0 = -0*y + y. Suppose h - 16 = 3*p, h - p - 8 - 18 = y. Let o(k) = 3*k**3 - 17*k**2 - 5*k + 2. What is the remainder when h is divided by o(6)? 7 Let o(s) = -12*s. Let y(f) = -4*f. Let z(x) = 4*o(x) - 11*y(x). Suppose 0*p + 28 = 4*p. Calculate the remainder when z(-3) is divided by p. 5 Let y = -16 + 22. Let h(l) = -l**3 + 8*l**2 - 9*l + 1. What is the remainder when ((-12)/(-8))/(9/444) is divided by h(y)? 17 Suppose -2*i - 2*i = 0. Let o = 18 + i. Let v = 59 + 10. What is the remainder when v is divided by o? 15 Let p = -2 - 1. Let n(h) = -2*h - 11. Let k(f) = -5*f - 21. Let o(y) = 4*k(y) - 7*n(y). What is the remainder when o(p) is divided by 6? 5 Let q(n) = -2*n**2 + 26*n - 10. Suppose m + 10 = 5, -c = 2*m - 1. What is the remainder when 169 is divided by q(c)? 33 Suppose 3*a + 2*a = -4*g + 319, 0 = 5*a - g - 314. Suppose -4*p + 64 = -2*i, -4*i - 89 = -5*p - 6*i. What is the remainder when a is divided by p? 12 Let c = 463 + -450. Let b(o) = -o - 7. Let d be b(-10). Calculate the remainder when (98/3)/(2/d) is divided by c. 10 Suppose l + 2*l = -69. Let n = -19 - l. What is the remainder when (-4 + -37)/(n + -5) is divided by 15? 11 Let m(w) = -2*w**3 - 11*w**2 + 10*w - 37. Calculate the remainder when m(-9) is divided by 17. 15 Suppose -4*t + 2 = -i - 3, 0 = -3*i + t + 7. Suppose 16 = -i*x + 85. What is the remainder when 112 is divided by x? 20 Let b(a) = a - 7. Let m be b(12). Let r be (-2)/(3/3 - 2). Suppose 3 = r*v - m. What is the remainder when 6 is divided by v? 2 Suppose -o + 970 = 25*i - 21*i, -3*i - 5*o = -719. Calculate the remainder when i is divided by 79. 6 Suppose 5*v - 5*b = 950, -5 = -28*b + 33*b. What is the remainder when v is divided by 76? 37 Let o(r) be the second derivative of r**5/20 - r**4/4 - r**2/2 + 3*r. Let t be o(3). What is the remainder when 69 - 9 - (t - -4) is divided by 20? 17 Let w be 1/2*(-3 - -9). Let q be 4/2*74/4. Suppose -u + w = -q. Calculate the remainder when u is divided by 15. 10 Suppose x + 51 - 97 = 0. Suppose -p = 4*v + 6 - 23, 0 = 2*p + 5*v - 34. What is the remainder when x is divided by p? 12 What is the remainder when (-10)/(-4)*2 + 137 + -10 is divided by 9? 6 What is the remainder when 138 is divided by (-2177)/(-63) + 12/27? 33 What is the remainder when 532/12 + (-2)/(-3) is divided by 12/(-16) - (-102)/8? 9 Let o(x) = x**2 - 2*x + 77. Suppose 2*r = 44 + 8. Calculate the remainder when o(0) is divided by r. 25 Calculate the remainder when 4/18 + ((-59785)/45)/(-11) is divided by 57. 7 Let r(s) = -43*s**3 + 7*s**2 + 10*s - 7. What is the remainder when r(-3) is divided by 14? 11 Let v(m) = m**3 - m**2 - m + 82. Let x(s) = -s**3 + 22*s**2 - 19*s - 7. Let d be x(19). Calculate the remainder when v(0) is divided by d/25 + 18/(-5) + 3. 26 Suppose i - 5*i + 12 = 0. Suppose 2*u = -2*g + 4*u - 24, i*g = -5*u - 20. Let a = -3 - g. What is the remainder when 25 is divided by a? 4 Suppose 4*p = 3*j + 230, 4*j - 179 = -4*p + 65. What is the remainder when p is divided by 25? 9 Suppose 0 = 2*s - 4*z - 22, 2*z - 99 - 4 = -5*s. Calculate the remainder when 302 is divided by s. 17 Suppose -7*r - 28 = -9*r. Suppose 40 = h - r. What is the remainder when h is divided by 28? 26 Let x(d) = -81*d - 2. Let h be x(-2). Suppose 92 = 6*b - h. Suppose -z - 69 = -5*z - n, 2*z = 2*n + b. What is the remainder when z is divided by 11? 7 Let a = 46 + -5. Calculate the remainder when 357*((-4)/6 + 1) is divided by a. 37 What is the remainder when ((-4)/18)/1 - 35093/(-171) is divided by 38? 15 Suppose -8 = -3*m + 7. Suppose 65 = 3*u + m*v, -u + 2*v = -36 + 7. Calculate the remainder when 72 is divided by u. 22 Let y(o) be the third derivative of -o**5/30 + 7*o**4/6 + 5*o**3/3 + 10*o**2. Calculate the remainder when y(13) is divided by 19. 17 Let f(s) = 48*s**2 - 4*s - 3. What is the remainder when 535 is divided by f(-1)? 45 Suppose -8*a = 9*a - 2057. Let t = -101 + a. Calculate the remainder when 198 is divided by t. 18 Let v(o) = -o**2 - 27*o - 120. Calculate the remainder when -4 + 4 + 194/2 is divided by v(-20). 17 What is the remainder when 165 is divided by ((-203)/(-28) + -5)*32/6? 9 Suppose -5*j = -j - 5*d - 52, 5*j + 5*d - 65 = 0. What is the remainder when (-183)/(-5) + 4/10 is divided by j? 11 Suppose -3*s + 295 = 2*v, 3*s - 210 = s + 2*v. Calculate the remainder when 300 is divided by s. 98 Let q = 693 + -691. What is the remainder when 37 is divided by q? 1 Let l(j) = 0 + 2*j**2 + 3*j - 4*j + 1 + 2*j. Suppose 0 = -3*x + 9 - 0. Calculate the remainder when 43 is divided by l(x). 21 Let r(y) = -31*y - 135. What is the remainder when (-2 + -2)/(-2) - -36 is divided by r(-5)? 18 Let n be 154/(-4)*8/(-14). Suppose 0 = -i
{ "pile_set_name": "DM Mathematics" }
17 (d) -2/3 (e) -3/5 b Which is the nearest to 0? (a) 0.114 (b) 5/9 (c) 2/1001 (d) 4 (e) -5 (f) 3 c What is the nearest to -2/23 in -3, 0, 5, -161? 0 What is the closest to -35 in -1317/5, 2/13, 0? 0 Which is the nearest to 0.06? (a) 4/577 (b) -3/64 (c) 3/4 (d) 19 a What is the closest to -0.1 in -9228, -2.3, -169? -2.3 What is the nearest to -3/61 in 2/3, -1/10, 12, 1/5, -5/59? -5/59 What is the nearest to 1/7 in -33/409, -169, -1/5? -33/409 Which is the nearest to 0? (a) 15 (b) 2/5 (c) -4 (d) -1 (e) -5880 b Which is the closest to -11? (a) 0.3 (b) -2 (c) 0.15 (d) -1/2 (e) 1.91 b Which is the closest to -1? (a) -1/8 (b) -134343 (c) 2 (d) 0 a Which is the nearest to 0.1? (a) 6.5 (b) -1/4 (c) -1/3 (d) -5229 (e) 2/17 e Which is the closest to 6/5? (a) 3/4 (b) -0.4 (c) -118 (d) -30/7 (e) -0.2 a What is the nearest to -0.5 in 1/4, -0.58, 21? -0.58 What is the closest to 1 in -20, 0.2, -1/3, 1/53, 4? 0.2 Which is the closest to 18? (a) 2/10611 (b) 0.4 (c) -1 b Which is the nearest to 0.5? (a) -0.3 (b) -0.1886 (c) 29/9 b What is the nearest to 0.1 in 996, -21.6, 3/8? 3/8 What is the nearest to 1/4 in -5, 160/7, 0.5, -1.28, -2/5? 0.5 What is the closest to 0.1 in 1/4, -10, -1/3, -14, 122? 1/4 What is the closest to 1/3 in 0.07775, -3, 0.5, 5, 0.4? 0.4 Which is the nearest to -242? (a) -1 (b) 2/7 (c) 48833 a What is the closest to -0.1 in -88, 5, 2, -816? 2 What is the closest to 24 in -1213, -0.2, 2, -3.13? 2 What is the nearest to -38 in 4.7, -3, 14.6, -1/6, -0.3? -3 What is the nearest to 406 in -3, -2, 20, -7.1, 3/4? 20 What is the closest to 5/2 in -6, 3, 0.05, -49, 7, -22? 3 Which is the nearest to -37/6? (a) -0.5 (b) 1/4 (c) -10038.9 (d) -3 d Which is the closest to 0.2? (a) 2/9 (b) 0.4 (c) -24 (d) -1/6 (e) -1910/13 a What is the nearest to -1/5 in 0.2, -8066, -2? 0.2 Which is the nearest to 0.5? (a) -0.12 (b) 4 (c) -2.189 (d) 2/3 (e) -2 d Which is the nearest to 17? (a) -3/2 (b) -0.9099 (c) -2/5 (d) 4/5 d What is the nearest to 1.3 in 23, -0.2, -14, 14/17? 14/17 What is the nearest to 2/11 in 1, -169, -36810? 1 Which is the nearest to 0? (a) 0.32 (b) -3944 (c) -2 (d) -9 a What is the nearest to -22 in -1, 2/27, -3, 49/2, -3/7, 0? -3 What is the closest to 10 in 0.036515, 0.1, 48, 1/6? 1/6 What is the nearest to 0.04 in -3, 2/33, 34? 2/33 What is the nearest to -0.1 in 0.1, -5, 13/10, -1490, -4? 0.1 What is the closest to 4/27 in -5, 2, -19, -0.5, 22/7? -0.5 What is the closest to -637 in -5, 2/11, -0.1, -1/6, -56? -56 What is the closest to 0.03 in 5, -22, 8, 749? 5 Which is the nearest to 20? (a) -21/178 (b) 4/31 (c) -0.5 b Which is the nearest to 2.5? (a) 27 (b) 4 (c) 24 (d) -25 (e) 0 b Which is the closest to 64? (a) 4 (b) -3/4 (c) -2 a What is the nearest to 30 in -2/7, -3.7, 1, 0.39, -1/4, -1? 1 What is the nearest to 2 in -3, -1/64370, -21/2, 1/3? 1/3 Which is the nearest to -6? (a) -7 (b) -4 (c) -772/17 a Which is the nearest to 0? (a) 15/101 (b) 0.1 (c) -2.31 (d) 2 b Which is the closest to -10/19? (a) -2 (b) -0.27 (c) 5 (d) -2/61 (e) 3 (f) -5 b What is the nearest to -4 in 450, 5.7, 2, -3, -24? -3 What is the nearest to -1.8 in 0.2, 1, 0.1318? 0.1318 What is the nearest to 0 in -2/19, -13, -11, -28, -2/3? -2/19 Which is the nearest to 2.6? (a) -3 (b) -46/9 (c) 2/7 (d) -153 c What is the closest to 1/3 in 2, 5/2, 0.298, -4819, 3/7? 0.298 What is the closest to 9 in -0.043, 4, 0.04, 7? 7 What is the nearest to 0.16 in 0.2, -1, -0.5, 1/4, -41/7? 0.2 Which is the closest to 0? (a) -1 (b) -94505 (c) -2/5 (d) -1/6 d Which is the nearest to 9/13? (a) 715 (b) -5 (c) -3.1 c Which is the nearest to -2.47? (a) 5 (b) -5 (c) -67.3 b What is the closest to 2 in 0.3, 1/8, 3, -0.02, -52/193? 3 Which is the nearest to -71? (a) 2 (b) 12569 (c) 0.5 (d) -0.2 d Which is the nearest to -0.082? (a) 5 (b) 2 (c) -0.292 c What is the nearest to 415 in -3, -0.125, -0.299? -0.125 What is the closest to -4/9 in 61, -1, 0.6, 2/11, -120.5? -1 Which is the nearest to -636.6? (a) 4/321 (b) 3 (c) 1/4 (d) -0.2 d What is the nearest to 2 in -22.9, -85, -0.013? -0.013 What is the closest to -39011811 in 0.5, 5/3, 1? 0.5 What is the nearest to -0.2 in 67, 1/4, 1753, -0.5, -0.3? -0.3 What is the closest to -7/5 in 1/9, -2/3, -4, -3, 104/89? -2/3 What is the nearest to 2/5 in 5, -14, -240665? 5 What is the nearest to 2/5 in -6, 1/80, 1/2820? 1/80 What is the nearest to -151.3 in 4382, 0.2, 0.3? 0.2 Which is the nearest to -1.071? (a) -9/5 (b) -1 (c) 6/35 b What is the closest to -0.108 in 3, 5, 1.24, -206? 1.24 What is the closest to -1 in -10101, -6.1, 0.017? 0.017 Which is the nearest to 111103? (a) 2/7 (b) 0.4 (c) -2/3 (d) -1 b Which is the nearest to -1? (a) 1/8 (b) 24 (c) 3 (d) 441 (e) -15 a What is the closest to 2/3 in -62419.5, 5, 1? 1 What is the nearest to -259 in -6, 2, -16? -16 Which is the closest to -1? (a) -0.5 (b) 0.1 (c) -12302 (d) 225 (e) -3 a What is the closest to 0 in -39, 15, -3, 0.1, 3/4, 112? 0.1 What is the closest to -0.2 in 1/359, -2/5, 2/4561? -2/5 Which is the closest to 15.011? (a) -2/19 (b) -2 (c) 0.1 (d) 0 c What is the nearest to 10/11 in -384, -0.01, 1/5, 4? 1/5 What is the closest to -1/8 in -7, 0.09, 61, -1, -70/9? 0.09 What is the nearest to -1/3 in 10, -1.0874, 2.5? -1.0874 What is the nearest to 24316 in 1/2, 2/13, -1/5, -3, -19? 1/2 Which is the nearest to -2? (a) -6 (b) -1/6 (c) -1/15 (d) 3287 b Which is the closest to 1/30? (a) -8421 (b) -0.2 (c) -2 (d) 1/5 d What is the nearest to -2/7 in -4/3, -5.85, -0.9, -5, -3/23? -3/23 Which is the closest to -0.1? (a) 10 (b) -2 (c) 6/11 (d) -44 (e) -6/97 (f) 0.2 e Which is the closest to -25/3? (a) 1 (b) -2 (c) 330 (d) 80 b Which is the closest to -0.9? (a) 25 (b) 1/27 (c) 2 (d) 3509 b Which is the closest to 600? (a) 40 (b) 21 (c) 43.4 c What is the closest to 0.6 in -3, -2/13, -13864.5? -2/13 What is the closest to 1/66 in 3, -95/47, -0.8? -0.8 Which is the nearest to 0.1? (a) 1/611 (b) 4/7 (c) -0.1 (d) -1.3 (e) 0.06 e What is the nearest to -2/9 in 4/3, 0, 2/19, 0.5, 0.022, 361? 0 Which is the closest to 1.1? (a) 3.7 (b) 0.4 (c) -0.1641 (d) -5 b Which is the closest to 0.1? (a) -1/33 (b) 48/203 (c) 1/6 c What is the closest to -1 in 0.3, -2/13, 36/11, 1824, 1/2? -2/13 Which is the nearest to -520? (a) 0.3 (b) 15993 (c) 0 c What is the closest to 78.7 in 4, -44, -2, -7? 4 Which is the closest to -623? (a) 6/13 (b) 152 (c) -1 c What is the nearest to 779 in -0.1, 13, -11, 2/15, -2? 13 What is the closest to 0.1 in 6, -134, 7, -6, 4? 4 Which is the nearest to 406245? (a) 1/11 (b) -0.3 (c) 2 c What is the closest to 1/355 in -234, 0.2, -3/5? 0.2 What is the closest to 41273 in -4, -12, -2? -2 What is the nearest to -1 in 1/15, 0.5, -27, 24.39, 4, 5? 1/15 Which is the closest to -2? (a) 0.2 (b) 3 (c) 11589 (d) 1/8 (e) 4/13 d What is the nearest to 2/3 in 2, -1529, 22, -0.4, 0.2? 0.2 Which is the nearest to -1/4? (a) 2 (b) 10/13 (c) -1/3 (d) -64/11 (e) 5 (f) 1.1 c Which is the closest to 106? (a) 137 (b) 0.4 (c) 1/2 a Which is the closest to 1.6284? (a) 0.5 (b) -8 (c) 33 (d) 0.2 a What is the closest to -0.1 in 0.045, 4834, 0.07, 5? 0.045 Which is the closest to 1/4? (a) 4/5 (b) 7108 (c) -920 (d) -2 a Which is the closest to 46? (a) 10566 (b) -10/13 (c) -2 b Which is the closest to 8/7? (a) -11 (b) 0.3 (c) 27 (d) -0.007 b Which is the nearest to -27? (a) 0 (b) 1/5 (c) 3 (d) -1/5 (e) -346 d What is the closest to -0.1 in 5, -533/8, -5, 3/7, -1? 3/7 What is the closest to -1 in 768, -8, 4/17, 27? 4/17 What is the closest to -0.1 in 2, 0.027, 46, 13? 0.027 Which is the nearest to 1/46? (a) -49 (b) 8 (c) -1335 b What is the closest to 1 in -1715, -2/17, -1138? -2/17 What is the closest to 2 in 63, 23/6, 0.016? 23/6 What is the nearest to -1/2 in -31.8957, 5, -2, 2? -2 What is the nearest to 46430 in -4/5, -1/8, 3/10, -4/9? 3/10 Which is the closest to 1? (a) -1 (b) -2.1 (c) -129 (d) 2/33 (e) 5 (f) -2/7 d Which is the nearest to 0.3? (a) 0.024 (b) 110 (c) -0.3 (d) -1 (e) 15 (f) 4 a What is the closest to 0.0239 in -2/9, -24, -3, -0.5? -2/9 Which is the nearest to 0.8?
{ "pile_set_name": "DM Mathematics" }
73 Convert 20 (base 5) to base 8. 12 Convert -100012 (base 3) to base 6. -1052 100011010 (base 2) to base 10 282 -6 (base 12) to base 8 -6 Convert -9 (base 14) to base 9. -10 What is 1 (base 9) in base 11? 1 -150 (base 10) to base 3 -12120 Convert -5 (base 11) to base 7. -5 What is 16 (base 11) in base 10? 17 What is 3 (base 12) in base 6? 3 What is 16 (base 12) in base 3? 200 What is -4 (base 14) in base 15? -4 -b (base 12) to base 8 -13 3 (base 6) to base 8 3 -8 (base 12) to base 3 -22 4 (base 5) to base 7 4 Convert 26 (base 15) to base 3. 1100 1 (base 9) to base 6 1 What is 10 (base 6) in base 14? 6 Convert 31 (base 7) to base 6. 34 -166 (base 7) to base 15 -67 -3 (base 8) to base 3 -10 What is -1 (base 5) in base 2? -1 Convert 2 (base 10) to base 2. 10 Convert 6 (base 9) to base 3. 20 Convert 1 (base 3) to base 12. 1 What is -58 (base 11) in base 14? -47 Convert -79 (base 16) to base 14. -89 What is -2 (base 9) in base 14? -2 What is 20 (base 6) in base 13? c -30 (base 6) to base 12 -16 2 (base 10) to base 2 10 Convert 6 (base 7) to base 12. 6 What is 26 (base 9) in base 2? 11000 What is -15a (base 13) in base 9? -301 What is -1455 (base 6) in base 10? -395 Convert -2 (base 6) to base 2. -10 What is -231 (base 4) in base 13? -36 Convert 123 (base 4) to base 10. 27 What is 7 (base 12) in base 15? 7 1 (base 3) to base 16 1 Convert 19 (base 16) to base 11. 23 Convert -2 (base 6) to base 13. -2 Convert 3 (base 4) to base 6. 3 Convert -2 (base 12) to base 2. -10 -2 (base 16) to base 13 -2 Convert 5 (base 16) to base 14. 5 -133 (base 4) to base 14 -23 Convert -110000 (base 2) to base 4. -300 223 (base 5) to base 8 77 What is -20 (base 6) in base 3? -110 Convert 11 (base 2) to base 9. 3 What is 4 (base 8) in base 13? 4 Convert 1a6 (base 12) to base 16. 10e What is -10 (base 13) in base 8? -15 What is 10010101 (base 2) in base 13? b6 What is 311 (base 8) in base 5? 1301 What is -43 (base 13) in base 5? -210 Convert 1 (base 10) to base 15. 1 Convert -1b1 (base 14) to base 16. -15f -32 (base 6) to base 15 -15 35 (base 10) to base 12 2b Convert -203 (base 6) to base 15. -50 What is -1 (base 16) in base 5? -1 What is 21212 (base 3) in base 11? 183 Convert -50 (base 8) to base 2. -101000 -2 (base 10) to base 4 -2 23 (base 14) to base 12 27 What is 4a (base 14) in base 9? 73 0 (base 14) to base 3 0 2 (base 11) to base 2 10 8 (base 15) to base 5 13 What is -241 (base 6) in base 5? -342 What is -8 (base 16) in base 2? -1000 Convert 10 (base 2) to base 6. 2 What is -2 (base 13) in base 2? -10 -1 (base 7) to base 3 -1 What is 11121 (base 3) in base 2? 1111100 d (base 16) to base 12 11 What is 20 (base 11) in base 5? 42 What is -3 (base 5) in base 7? -3 What is 204 (base 11) in base 10? 246 Convert -33 (base 11) to base 3. -1100 -8 (base 13) to base 6 -12 Convert -43 (base 9) to base 14. -2b -111 (base 2) to base 4 -13 What is -1 (base 12) in base 16? -1 What is -14 (base 7) in base 5? -21 Convert -42 (base 7) to base 16. -1e Convert -30 (base 13) to base 3. -1110 Convert 128 (base 16) to base 11. 24a 156 (base 14) to base 3 101002 -10 (base 4) to base 14 -4 What is 312 (base 7) in base 5? 1111 Convert 31 (base 8) to base 2. 11001 Convert -11121 (base 4) to base 3. -110210 Convert -63 (base 10) to base 15. -43 What is -2b (base 14) in base 10? -39 What is -7 (base 15) in base 4? -13 -5 (base 8) to base 13 -5 What is 11100 (base 3) in base 9? 140 What is -6 (base 13) in base 10? -6 31 (base 8) to base 11 23 -11010 (base 2) to base 9 -28 Convert -1 (base 6) to base 16. -1 What is -16 (base 11) in base 15? -12 Convert 3131 (base 4) to base 8. 335 What is -5 (base 7) in base 9? -5 What is -104 (base 5) in base 6? -45 -10 (base 4) to base 6 -4 -1 (base 3) to base 15 -1 13 (base 15) to base 16 12 Convert -3 (base 4) to base 3. -10 Convert 6 (base 8) to base 11. 6 What is 6 (base 10) in base 3? 20 Convert 132 (base 6) to base 2. 111000 Convert -120 (base 3) to base 4. -33 -34 (base 6) to base 12 -1a What is 21 (base 3) in base 16? 7 1 (base 5) to base 2 1 3 (base 5) to base 13 3 Convert -1100010 (base 2) to base 11. -8a -2 (base 13) to base 9 -2 Convert 0 (base 11) to base 2. 0 Convert 26 (base 9) to base 6. 40 What is 4 (base 6) in base 10? 4 Convert 12 (base 5) to base 2. 111 Convert 90 (base 14) to base 16. 7e 1 (base 7) to base 2 1 30 (base 7) to base 5 41 Convert -51 (base 8) to base 9. -45 Convert 3 (base 11) to base 13. 3 What is -3 (base 13) in base 15? -3 10 (base 3) to base 5 3 Convert 32 (base 8) to base 2. 11010 Convert 1 (base 3) to base 2. 1 Convert 0 (base 12) to base 16. 0 -8 (base 16) to base 9 -8 What is -9 (base 16) in base 8? -11 What is 15 (base 13) in base 9? 20 What is 1 (base 2) in base 11? 1 0 (base 15) to base 4 0 What is -6 (base 12) in base 8? -6 Convert -4 (base 9) to base 15. -4 -2 (base 7) to base 2 -10 Convert -2 (base 13) to base 14. -2 Convert a (base 11) to base 15. a What is 5 (base 13) in base 16? 5 -38 (base 14) to base 4 -302 -214 (base 7) to base 4 -1231 Convert -12 (base 9) to base 8. -13 Convert -e (base 15) to base 13. -11 What is -5 (base 16) in base 12? -5 10 (base 2) to base 5 2 What is -34 (base 8) in base 4? -130 What is 68 (base 9) in base 5? 222 What is -7 (base 16) in base 8? -7 Convert -33 (base 12) to base 16. -27 Convert -3 (base 7) to base 10. -3 Convert -3 (base 5) to base 7. -3 Convert -5 (base 9) to base 5. -10 Convert 2202 (base 3) to base 11. 68 Convert -134 (base 6) to base 9. -64 -2 (base 4) to base 13 -2 What is -53 (base 8) in base 9? -47 224 (base 8) to base 9 174 Convert 0 (base 8) to base 16. 0 What is 11 (base 5) in base 6? 10 Convert 8 (base 13) to base 15. 8 What is 21 (base 3) in base 5? 12 5 (base 14) to base 3 12 What is 1131 (base 4) in base 10? 93 Convert 11 (base 2) to base 8. 3 2 (base 9) to base 12 2 What is -40 (base 13) in base 12? -44 -32 (base 8) to base 15 -1b 450 (base 9) to base 7 1035 Convert -10 (base 8) to base 11. -8 What is 115 (base 7) in base 4? 331 Convert -14 (base 6) to base 12. -a 10a (base 15) to base 6 1031 15 (base 16) to base 6 33 Convert 103 (base 4) to base 6. 31 What is 2 (base 14) in base 13? 2 Convert 30 (base 12) to base 9. 40 Convert 0 (base 8) to base 10. 0 -64 (base 7) to base 12 -3a Convert 1a4 (base 13) to base 2. 100101111 What is -5 (base 14) in base 7? -5 Convert -1 (base 10) to base 2. -1 What is -81 (base 11) in base 12? -75 55 (base 9) to base 12 42 Convert 231 (base 5) to base 6. 150 Convert -13 (base 5) to base 13. -8 Convert 2 (base 12) to base 2. 10 Convert 4 (base 7) to base 13. 4 What is -63 (base 14) in base 6? -223 What is 0 (base 9) in base 8? 0 What is -6 (base 7) in base 6? -10 0 (base 9) to base 3 0 3 (base 4) to base 9 3 What is 7 (base 16) in base 3? 21 What is -12 (base 11) in base 7? -16 Convert -22 (base 9) to base 8. -24 -2 (base 12) to base 10 -2 What is -a (base 11) in base 8? -12 Convert 7 (base 11) to base 3. 21 Convert 1 (base 2) to base 14. 1 104 (base 8) to base 3 2112 What is -5 (base 11) in base 7? -5 35 (base 13) to base 5 134 Convert -264 (base 7) to base 8. -220 Convert 4d (base 15) to base 8. 111 -11 (base 7) to base 4 -20 What is 0 (base 11) in base 5? 0 -18 (base 10) to base 8 -22 Convert -33 (base 5) to base 9. -20 What is 40 (base 10) in base 16? 28 1 (base 3) to base 10 1 Convert -300 (base 6) to base 16. -6c What is 7 (base 9) in base 7? 10 Convert -18 (base 13) to base 16. -15 Convert 530 (base 7) to base 5. 2031 Convert 11012 (base 3) to base 4. 1301 What is -135 (base 6) in base 3? -2012 -30 (base 5) to base 7 -21 300 (base 9) to base 16 f3 -2c (base 13) to base 2 -100110 30 (base 5) to base 14 11 What is 0 (base 15) in base 16? 0 Convert 222 (base 8) to base 7. 266 What is -4 (base 9) in base 11? -4 What is -3 (base 4) in base 5? -3 10220 (base 3) to base 8 151 111 (base 2) to base 5 12 Convert -24 (base 8) to base 15. -15 -69 (base 16) to base 14 -77 What is 124 (base 12) in base 6? 444 Convert 36 (base 11) to base 15. 29 -1110101 (base 2) to base 8 -165 -7 (base 9) to base 13 -7 -1 (base 9) to base 8 -1 -4 (base 13) to base 8 -4 Convert -14 (base 5) to base 4. -21 What is 0 (base 12) in base 3? 0 What is -16 (base 9) in base 10? -15 -34 (base 6) to base 15 -17 What is 2 (base 9) in base 14? 2 Convert 1
{ "pile_set_name": "DM Mathematics" }
-3*u for u. 0 Let q(h) = -h**2 - 12*h + 3. Let j be q(-12). Solve -j*f = f for f. 0 Let j = -1 + 9. Solve -5*f = -j - 7 for f. 3 Suppose 3*s = -8 + 2. Let v be 2/(-3) - s/3. Solve v*f - 4 = f for f. -4 Suppose n + 7*i - 28 = 4*i, -n + 3*i = -4. Suppose g + 4*o = 0, -2*g + 2*o = n - 6. Let c(b) = -b**2 - 4*b + 4. Let w be c(g). Solve -w*k + 8*k + 16 = 0 for k. -4 Suppose 0*p + 6 = 3*p. Solve 2*o = p + 2 for o. 2 Let u(r) = r**3 + 12*r**2 - 12*r + 17. Let y be u(-13). Let j(f) = -6*f - 3*f - 3*f**2 + 2*f**2 - 6. Let b be j(-6). Solve -y*a + 8 = -b for a. 5 Let w(s) = -s**3 - 7*s**2 + 19*s + 14. Let h be w(-9). Solve 5*p - 25 = -h for p. 4 Let w(z) = -z - 4. Let a be w(-6). Suppose -r = -a*r. Solve 5 = -i - r*i for i. -5 Let r(o) = 7*o**2 + o. Let s be r(-1). Let g = s - 4. Suppose 2*t - g*c = 24, -28 = -5*t - 5*c + 2*c. Solve -t = 5*m - m for m. -2 Let b(q) = -2*q**2 - 10*q - 5. Let d be b(-4). Solve -d*n - n = 0 for n. 0 Suppose 4*q - q = 0. Solve q = p - 4 + 2 for p. 2 Suppose -7*d = -2*d - 15. Solve d - 1 = 2*m for m. 1 Let q = -5 - -10. Solve -q*l - 4 = 11 for l. -3 Let y(c) be the third derivative of -c**9/60480 + c**6/240 - c**5/60 + c**2. Let d(g) be the third derivative of y(g). Let z be d(0). Solve z = -0*m + m for m. 3 Let p = 9 + -7. Solve 8 = p*k + 2*k for k. 2 Let j(y) = -2*y + 12. Let w be j(8). Let z = -1 - w. Solve b + 20 = -z*b for b. -5 Let m(f) = 2*f**2 + 3*f + 3. Let p be m(-2). Solve -17 + 42 = p*y for y. 5 Let a be -8 + 2 + -1 + 4. Let i(h) = -h**3 - 4*h**2 - 5*h - 4. Let y be i(a). Suppose 2*o = l + 9, -2*l = -4*l + 2. Solve -o + y = -f for f. 3 Let f = 61 + -86. Let k = -10 - f. Solve -c + k = -4*c for c. -5 Suppose -2*u = 2*u - 5*m - 27, -2*m + 9 = 5*u. Solve 0 = -2*h + 3*h - u for h. 3 Let r = 48 + -33. Solve -t = 2*t + r for t. -5 Let a be -3 + (39/6)/((-2)/(-4)). Suppose -4*m - 4 = -k, 6*k + 5*m = 3*k + 29. Solve -3*w = -k*w - a for w. -2 Suppose 2*d + 2*p - 27 = 3*p, d = 5*p + 9. Suppose -1 = k + 2, 0 = -5*g - 2*k + d. Solve g*y + 20 = -0*y for y. -5 Suppose -3*k - 5*r - 56 = 0, -r = -k + 4 - 12. Let v = -3 - k. Solve 0*d = 3*d - v for d. 3 Let g(l) = 4*l**2 + 3*l + 2. Let p be g(-1). Solve -y = -p*y for y. 0 Let o(j) = j - 5. Let g be o(11). Suppose 5*f = b - g*b + 25, 3*f = -6. Suppose -i = -3*i + 6. Solve 4 = i*w + b for w. -1 Let i be (-1 - -6) + -13 + 9. Solve i = f + 6 for f. -5 Let s(x) = -2*x**3 - 3*x**2 - 3*x - 2. Let a be s(-2). Let q be 12/(-15)*20/(-8). Solve 0 = -q*c - 2*c + a for c. 2 Let a = -11 - -16. Suppose -2*g = -5*g + 6. Suppose 5*j + g*y + 2*y - 12 = 0, 3*j - a*y = 22. Solve 2*u + 2*u - j = 0 for u. 1 Suppose 6*a + 6 = a + 2*m, -a + m - 3 = 0. Suppose -2*c + a*c = -6. Let p be (-3)/3*(2 - c). Solve -p = -g + 4 for g. 5 Let n(s) be the third derivative of s**5/60 - 7*s**4/12 + 5*s**3/2 + 2*s**2. Let c be n(13). Let b be (7/(-4))/(1/(-4)). Solve -c*m + 1 = b for m. -3 Suppose 5*k - k = 36. Let o = 6 + -1. Solve -o*i + k + 1 = 0 for i. 2 Let y(l) = l**3 + 3*l**2 - 4*l + 5. Let h be y(-4). Suppose b = h*b. Solve -3*g + b = 3 for g. -1 Let c = 44 - 41. Solve 2*x = -c*x for x. 0 Suppose 0 = 3*o + 4*i + 21, -2*i + 5*i = 4*o + 3. Let w(d) = d**2 - 2. Let q be w(o). Let f = -5 + q. Solve 2*z = -f*z - 20 for z. -5 Suppose -3*d + 0*d = -i - 12, -i = -5*d + 14. Let y = -9 - i. Solve -m - 3*m - 12 = y for m. -3 Let c(i) = -7*i + 14. Let y(r) = 10*r - 21. Let q(w) = 7*c(w) + 5*y(w). Let s be q(7). Solve s*t = -t for t. 0 Suppose -2*k - q - 3 = 0, -5*k + 9 = -5*q - 6. Suppose -r + k = -3. Let b be r - 0/(0 + -2). Solve -n + b = 5 for n. -2 Let u = -122 - -122. Suppose -3*b - 1 + 10 = 0. Suppose -b*s + 0*c + 3 = 4*c, 0 = 5*s - 4*c - 5. Solve -x - s = -u*x for x. -1 Let u be (2 - (-5)/(-3))*-3. Let o be 6 - 3 - (1 + u). Solve o*l - 4 = -1 for l. 1 Let t = -35 + 40. Solve -3 = -2*i - t for i. -1 Suppose 2*h + 3 - 9 = 0. Let b(t) = 6*t**2 - 8*t + 7 + t**h - 9 + 0*t**3. Let f be b(-7). Solve 0 = -3*y + 2*y + f for y. 5 Let a(l) = l**2 - l + 2. Let t be a(0). Suppose -25 = -5*i, 5*q - 6*i + t*i = 5. Let k = -2 + 5. Solve -k*u - q = -2 for u. -1 Let i(y) = y**3 - 5*y**2 + 2. Let w be i(5). Solve -s = w*s for s. 0 Suppose k - 166 = -3*j - 61, 4*j + 2*k = 138. Suppose 2*x + j + 52 = 4*l, 3*l - 68 = 2*x. Suppose -3*t + l = 2*t. Solve t - 1 = -a for a. -3 Let g = -25 + 31. Solve 0 = -g*u + u - 5 for u. -1 Let w = 14 + -20. Let u = 6 - w. Solve -u = 2*h + h for h. -4 Suppose -w + 9 = 3*o, 9 = -0*o + 3*o + 2*w. Let v(d) = d**3 + 9*d**2 + 9*d + 14. Let l be v(-8). Let h(n) = 2*n - 5. Let f be h(7). Solve o*t = f + l for t. 5 Suppose 0 = 2*s - 4*s. Solve s*n = -2*n + 2 for n. 1 Suppose -5*w = y + 10, -y + 6 + 5 = -2*w. Let d(s) = 2*s**2 - 7*s - 1. Let a be d(y). Suppose -2*h + 0*h - a = 4*v, h + 5*v = -22. Solve 2*o + 3 = -h for o. -3 Let j be 0/(0 - 1)*-1. Suppose j = -q + 4*z + 25, -5*q + z = -3*q - 15. Solve -2*x + 3 = -q*x for x. -1 Suppose -12 = -0*u + 4*u. Let g = u + 4. Let t be -4*g/(-2)*2. Solve -j - t*j = -20 for j. 4 Let s = 48 - 48. Solve s = 2*z + 2*z + 12 for z. -3 Let k(s) = s**2 - 8*s + 8. Let n be k(7). Let u be 21/4 - n/4. Suppose 11 = u*o - 9. Solve 0 = o*m + m + 5 for m. -1 Let k(f) = -f - 12. Let a be k(-14). Suppose 5*w - 5 = -a*b - 0*b, -4*w = 4*b + 8. Solve w = 5*v + 28 for v. -5 Let o = -3 - -6. Let z be -2*(2 + (3 - o)). Let g be (-1)/(1*1/z). Solve -g*l + 7 = 27 for l. -5 Let b(f) be the third derivative of f**5/60 - f**4/12 - f**3/6 + f**2. Let s be b(-1). Solve s*x - 6*x = -8 for x. 2 Suppose w - 6 = -3. Solve 0 = w*c - 4*c for c. 0 Suppose 4 + 31 = 5*v. Solve -19 + v = -4*g for g. 3 Let b = -115 - -131. Solve 6*h = 2*h + b for h. 4 Suppose -5*o + 14 = -3*q, -5*o + 16 = 4*q - 3*o. Let l = 4 - -5. Let r = 14 - l. Solve r*a = -q + 12 for a. 2 Let n = -42 - -42. Solve n*p = -p for p. 0 Suppose 3*r - 10 = 5. Suppose c + 4 = r. Solve -4 = 3*m - c for m. -1 Suppose s + h = -3*s + 2, 2*h = s + 4. Suppose s = 2*x - 3 - 5. Solve x*i + 16 - 4 = 0 for i. -3 Suppose 3*b = -2*j + 7*b + 4, -4*b = 0. Solve -x + j*x = -2 for x. -2 Let u(q) be the first derivative of q**2 + 3*q + 1. Let o = 0 + 3. Let x be u(o). Solve -2*y - y = x for y. -3 Let m be 75/(-10)*(-32)/12. Suppose -3 - 5 = -2*o. Solve -m = o*c - 9*c for c. 4 Let x(d) = d**2 + 6*d - 5. Let k be x(6). Suppose -5*b - 5*l = -b - 80, 3*b = -2*l + k. Solve v + 4*v = b for v. 5 Let b be (-4)/(-5)*45/6. Solve 3*m - 3 - b = 0 for m. 3 Let x(i) = 9*i. Let r be x(4). Suppose 5*t + 12 = f, 3*f + 2*t = t + r. Solve -f = 3*m - 7*m for m. 3 Let q(k) = 3*k**2 + 6*k. Let v(i) = i**2 - 1. Let y(c) = q(c) - 2*v(c). Let h be y(-3). Let u(z) = -z**2 - 9*z - 7. Let o be u(h). Solve -3 = -j - o for j. -4 Suppose b - 12 = -2*b. Suppose 3*x = 3*k + 9, -3*k - 2 = -b*x + 10. Solve 4*i - x = 5 for i. 2 Let b(u) = 5*u**2 - 4*u - 3. Let q be b(-2). Suppose -10 = 5*g - q. Solve 2*d = -g*d for d. 0 Let c(t) = -t**2 - 5*t - 4. Let z be c(-4). Solve 0 = -3*n - z*n for n. 0 Suppose -21 = 5*c - 1. Let w = 13 + c. Solve -2*o - o + w = 0 for o. 3 Let t be (1/(-4))/((-5)/(-20)). Let k = t - -4. Solve -o = -k*o for o. 0 Let h be 7/21 - (-52)/(-3). Let g = h + 17. Solve 3*k - 2*k = g for k. 0 Let b(k) = -2*k - 3. Let f be b(-4). Solve f = -2*t + 7*t for t. 1 Let s = 8 - 0. Let w(r) = r + 2*r + 4*r - 5*r. Let a be w(1). Solve 4*c = a*c + s for c. 4 Suppose 4*j - 29 = -9. Solve j*r + 5 = 4*r for r. -5 Let s(p) = -p**3 + 8*p**2 - 8*p + 14. Let o be s(7). Solve -o = 4*t + 5 for t. -3 Suppose 2*k - 5*p - 9 = 11, 5*k - 3*p = 12. Solve k = 4*m + m for m. 0 Suppose 2*x = x + 1. Let a be 0/(3/((-6)/4)). Solve a*v - x = -v for v. 1 Let t be 100/26 + 8/52. Suppose -4 = -t*f + 4. Solve 0 = -5*q + 3 + f for q. 1 Suppose -2*v = 4*l - 4, -4 = -3*l - 3*v + 2*v. Solve -3 = l*m + 3 for m. -3 Let g(c) = -c**3 - 7*c**2 - 5*c + 8. Suppose -2*r + r + 2 = 0. Suppose -15 = r*s - 3. Let a be g(s). Solve w + 9 = -a*w for w. -3 Suppose 0 = -p - 9 + 9. Solve p = 5*o + 34 - 9 for o. -5 Let k = 5 - 5. Solve k = -3*j + 5 + 4 for j. 3 Suppose -3 = -p - 5. Let d be ((-3)/3)/((-1)/p). Let m(w) = -9*w - 3. Let r be m(d). Solve -4*b + r = b for b. 3 Let v = -139 + 197. Let w(q) = -q**3 + 4*q**2 + 7*q - 9. Let u be w(6). Let g = u + v. Solve 44 - g = 5*x for x. 5 Let n = -12 + 16. Solve 3 = -5*v + n*v for v. -3 Let g = 320
{ "pile_set_name": "DM Mathematics" }
42783. 3, 13, 1097 What are the prime factors of 95163? 3, 31721 What are the prime factors of 902676? 2, 3, 75223 What are the prime factors of 8089459? 7, 19, 8689 What are the prime factors of 210136? 2, 26267 List the prime factors of 2355461. 179, 13159 List the prime factors of 2786138. 2, 1393069 What are the prime factors of 123023? 43, 2861 List the prime factors of 346566. 2, 3, 11, 59, 89 List the prime factors of 23769180. 2, 3, 5, 44017 What are the prime factors of 2417911? 2417911 List the prime factors of 175640. 2, 5, 4391 What are the prime factors of 282403? 11, 25673 List the prime factors of 13830558. 2, 3, 7, 329299 What are the prime factors of 18560607? 3, 13, 71, 6703 List the prime factors of 4963800. 2, 3, 5, 8273 List the prime factors of 7040907. 3, 17, 2707 List the prime factors of 247643. 11, 47, 479 List the prime factors of 2705562. 2, 3, 19, 293 What are the prime factors of 431186? 2, 7, 19, 1621 What are the prime factors of 884211? 3, 47, 6271 List the prime factors of 3292849. 7, 17, 59, 67 List the prime factors of 24035575. 5, 23, 41801 What are the prime factors of 852847? 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7, 98947 What are the prime factors of 539410? 2, 5, 17, 19, 167 What are the prime factors of 42201? 3, 521 List the prime factors of 98683. 13, 7591 What are the prime factors of 63975? 3, 5, 853 What are the prime factors of 16444342? 2, 173, 47527 List the prime factors of 664424. 2, 23, 157 What are the prime factors of 266298? 2, 3, 44383 What are the prime factors of 3173678? 2, 23, 68993 What are the prime factors of 2096609? 1117, 1877 List the prime factors of 57426. 2, 3, 17, 563 What are the prime factors of 26896204? 2, 6724051 List the prime factors of 4357108. 2, 7, 61, 2551 List the prime factors of 4734712. 2, 317, 1867 What are the prime factors of 333436? 2, 31, 2689 What are the prime factors of 235508? 2, 7, 13, 647 List the prime factors of 476933. 509, 937 What are the prime factors of 9024128? 2, 70501 List the prime factors of 221479. 241, 919 What are the prime factors of 91213? 53, 1721 List the prime factors of 22943357. 22943357 List the prime factors of 350493. 3, 11, 13, 19, 43 List the prime factors of 928987. 751, 1237 What are the prime factors of 4049059? 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{ "pile_set_name": "DM Mathematics" }
a + d + u*a**2 and give u. -160 Express -4*z**2 + 6175*z + 339*z + 9*z**2 - 3*z**2 as u*z**2 + k*z + p and give k. 6514 Rearrange (-2*g + 2*g + 3*g**2)*(-38 + 37 + 371*g + 276*g) to l + y*g + n*g**2 + a*g**3 and give a. 1941 Rearrange -56 - 6*g - 33*g**2 - 25 + 34*g**2 + 5*g to the form j + r*g + o*g**2 and give o. 1 Rearrange 396*l - 3591*l + 617 - 941 + 325 to w*l + b and give w. -3195 Rearrange -4*u**4 + u**3 - 23*u + 1 - 11*u**4 - u**2 + 29*u + 8*u**4 to f*u**4 + o + t*u + h*u**2 + c*u**3 and give c. 1 Express 4*o - 4*o - 3*o + (0 + 0 - 2)*(-4*o + 11*o + 33*o)*(-10 + 6 - 4) + 2*o - 1 + 1 in the form b*o + y and give b. 639 Express -958*g + 267 - 267 - 351*g - 2*g**2 as l*g**2 + z + t*g and give t. -1309 Rearrange -7 + 12 - m - 50*m**2 - 27 + 17 + 9 to the form y*m**2 + s*m + p and give p. 4 Express -24905*y**2 + 12440*y**2 + 2*y + 12452*y**2 + 40 in the form u*y + r*y**2 + b and give b. 40 Rearrange -62*r**2 - 109*r**2 + 291*r**2 - 116*r**2 - 2*r**3 + r**3 - 7 + 97*r**4 to t*r**3 + h + u*r + l*r**4 + o*r**2 and give t. -1 Express -28*p**4 - 320*p**2 - 21*p**3 + 341*p**2 - 3*p + 2*p + 19*p**3 + 3 in the form v*p + k*p**4 + g + z*p**3 + q*p**2 and give k. -28 Rearrange (2*i - 3*i + 3*i)*(29192 - 14887 - 18202) to r*i + f and give r. -7794 Express -3 - 26 - 68*a - 15 - 14 + 45 in the form y*a + l and give l. -13 Express 0*k**3 + 0*k**2 - 254608 + 4*k**3 + 16*k + 0*k**2 - 3*k**2 + 254607 as j*k**3 + b*k**2 + v + u*k and give v. -1 Rearrange 32*u**3 - 40*u**3 - 5 + 9 + u - 2*u to f*u + c + j*u**3 + g*u**2 and give f. -1 Rearrange (15 - 12 - 7)*(1 + 2 - 4)*(-9 + 9 + 4*y) + (-4*y - 11*y + 4*y)*(1 + 4 + 0) to r + t*y and give t. -39 Express -20672*j - 20667*j + 62011*j - 6121 - 20673*j as x*j + s and give x. -1 Express 530*f + 14*f**2 - 1055*f - 15 + 526*f in the form y + l*f + q*f**2 and give y. -15 Rearrange 24*s + s**2 - s**3 + 59*s**3 + 1 - 21*s to the form d + h*s**3 + o*s**2 + q*s and give q. 3 Express (12*t**2 + 5*t**2 - 7*t**2)*(-440 + 448 + 5*t**2 + 12*t**2) in the form q*t**4 + o*t**2 + x*t**3 + w*t + c and give q. 170 Express -6*y**3 - 412 + 599 + 1230*y - 187 in the form u*y**3 + m*y**2 + h*y + s and give u. -6 Express (-44 - 74 + 13)*(-5*h - 11*h - 10*h) + 0*h + h - 1 - 1 + 3 - 4*h - 3 as w*h + c and give c. -2 Express -2*i**3 + 0*i**3 + 63*i**2 + 5*i**3 - i**3 + 2*i**4 + 4 + 2*i + i in the form t + z*i**4 + d*i**3 + q*i**2 + v*i and give v. 3 Rearrange (-15027 + 15027 - 295*h**2)*(3*h - 5 + 3 - 7*h) to the form i*h**3 + t*h**2 + c + b*h and give t. 590 Express 9*g - 4 + 10*g**2 + 3*g + 37*g + 5 in the form q*g + z*g**2 + n and give n. 1 Express -4136*c + 14344 - 14344 as p*c + u and give p. -4136 Rearrange 10 - 14*j - 10 + (5 - 5 - 4)*(0*j + 6*j - 5*j) + 12 + 39*j - 12 to n*j + p and give n. 21 Rearrange (l**3 + 2174 - 2174 - 6*l**2 + 5*l)*(19 + 20 - 34) to i*l**3 + s + g*l**2 + x*l and give g. -30 Express (12 - 45 - 9*l + 8*l)*(290*l - 3074 + 3074) as u*l + h + t*l**2 and give u. -9570 Rearrange -283*g**2 + 5 + 153*g**2 - g**4 - 2*g**3 - 1 + 130*g**2 - 2*g to m*g**3 + p*g**4 + v*g**2 + q*g + s and give q. -2 Rearrange (-12 + 288*v - 490 + 494)*(-1 + 1 - 1) to the form s + n*v and give n. -288 Rearrange 2*c + c + 19 + 2303*c**2 - 17*c**3 + 16*c**3 - 2305*c**2 - 15*c**3 to h + d*c**2 + z*c + m*c**3 and give h. 19 Rearrange -8*r + 2 + r - 3*r**4 + 2*r**2 + 6*r + 5*r**4 + 10*r**3 to m*r**3 + h*r + j + w*r**4 + d*r**2 and give m. 10 Rearrange 0 - 91*j - 2 + 35*j**3 - 36*j**3 + (-11*j**3 + 5*j**3 - 7*j**3)*(-4 + 0 + 2) - 2*j**3 - 2*j**3 + 2*j**3 to s*j**3 + f*j**2 + k*j + r and give r. -2 Express -566 - 45*u + 543 + 26*u**2 - u**3 - 26*u**2 as j*u**2 + v + r*u + t*u**3 and give t. -1 Rearrange 444281*u - 4932 + 3*u**2 - 444281*u to a*u**2 + k*u + p and give a. 3 Rearrange -6*q**3 + q**3 + 1 - 22*q**4 + 16*q**4 - 12*q**4 + 12*q**3 + q**2 to t*q**3 + b*q + o*q**2 + n*q**4 + u and give t. 7 Express (9*i**2 + 10*i**2 - 25*i**2)*(74 - 41 - 31 + 1387*i + 2271*i) as j*i + s*i**2 + d*i**3 + b and give s. -12 Express (1 - 1 + 2*k)*(1086 - 586 - 634 - 63*k) as i*k**2 + t + h*k and give h. -268 Rearrange (0*l + 0*l + l)*(-2*l - 2*l**2 + 985 + 903 - 2244) to k + y*l**3 + q*l**2 + f*l and give y. -2 Rearrange (1 + 2 - 5)*(-8 + 8 + n) + (3 - 3 - 1)*(-292 - 466 + 6)*(-1 + 2*n + 1) to the form a + x*n and give x. 1502 Express 32*o - 2*o**3 + o**4 - 111 + 39 - 65*o + 32*o + 5*o**4 in the form g*o**4 + x*o**2 + n + r*o**3 + s*o and give r. -2 Rearrange (-75 + 26 - 95)*(-1279 + 1279 - 223*a) to the form i + g*a and give g. 32112 Rearrange (88 - 1023 - 36885 - 22061 - 16093)*(2*c**4 + 0*c**3 + 0*c**3) to s + f*c**3 + a*c + g*c**4 + z*c**2 and give g. -151948 Rearrange 3*z**2 - 6817*z + 8547*z - 5*z**2 + 6*z**2 to o + q*z + u*z**2 and give q. 1730 Express -5 - 5 - 1080*p**2 + 10 + 9572*p**2 as j*p + s*p**2 + o and give s. 8492 Rearrange y - 2*y - 13473*y**4 + 13303*y**4 + (-2*y - 3*y + 4*y)*(2*y**3 - 2*y**3 - 2*y**3) to c*y**3 + p*y + s + i*y**2 + t*y**4 and give p. -1 Rearrange (38 - 38 + 5*o)*(508*o + 502*o - 2 - 186*o - 246*o + 440*o) to h + b*o + c*o**2 and give c. 5090 Express 13*p**4 + 4266*p + 15*p**4 + p**2 + 1 + 0*p**4 - 29*p**4 as a*p**4 + d*p + y + n*p**3 + k*p**2 and give k. 1 Rearrange -1428*j**3 - j**2 - 1411*j**3 - 5 + 770*j**4 + 2839*j**3 - 2 to the form x + i*j**3 + v*j + c*j**2 + k*j**4 and give c. -1 Express 25*q + 10*q + 31*q + (-q + 2 - 2)*(0 - 11 + 2) + q + 4*q - 3*q in the form n*q + l and give n. 77 Express s - 6*s + 3*s + (17 - 3 + 1)*(-3*s - 1 + 6*s + 20*s) in the form p + w*s and give w. 343 Express 6*i + 714 - 730 - 15*i as u + c*i and give u. -16 Rearrange ((5 - 2*t - 5)*(-153 - 33 - 60) + 6 + 2*t - 6)*(0 + 2 + 2*t**2 + 1) to the form k*t + l*t**3 + z + m*t**2 and give k. 1482 Rearrange 11313*j + 408 + 35041*j - 408 to the form s + a*j and give a. 46354 Rearrange 5*x**2 - 10 - 143*x**3 + 2*x + 67*x**3 + 74*x**3 + 38 to the form r*x + q + v*x**2 + d*x**3 and give q. 28 Rearrange -11*v**2 + 371*v - 4 - 23*v**2 + 29*v**2 + 2 to n + l*v**2 + x*v and give l. -5 Express (-1371398 - 1376167 + 2723645)*(-3*v - 3 + 3) as r*v + l and give r. 71760 Express (13 - 13 + 4*p + (-2 + 1 + 4)*(-3 + 0 + 2)*(-1 + 0 + 7)*(2*p - 3*p + 0*p))*(2*p - 5*p - p) in the form w*p + n + f*p**2 and give f. -88 Rearrange -1 - 2*s**3 + 3*s - 548147*s**4 + 3*s**3 - 2*s + 548149*s**4 - 504*s**2 to the form k*s + c + n*s**4 + q*s**2 + w*s**3 and give w. 1 Express 1297*p + 1871*p - 859*p + 220*p in the form o*p + x and give o. 2529 Express (-5*w + w + 5*w)*(2*w**3 - 2 + 2) + 1 + 13852*w - 13851*w + 5*w**2 - 2649*w**4 + 2525*w**4 in the form z*w**2 + m*w**4 + k*w + v*w**3 + i and give z. 5 Express 2*k**2 - 5*k**2 - 990 + 996 - 2*k**2 - 35*k**3 + 2*k**2 as a*k**3 + h + j*k**2 + l*k and give a. -35 Rearrange (-3170*l**3 + 2174*l**3 + 1530*l**3)*(2 - 3 + 5) to z + p*l**3 + i*l**2 + x*l and give p. 2136 Rearrange -347*g - 936*g - 4400*g - 1066*g to the form d*g + v and give d. -6749 Rearrange 0*y**2 + 2*y**2 + 6*y**2 + (-y**2 + 0*y**2 + 2*y**2)*(4 + 1 - 2)*((-2 - 1 + 0)*(-3 - 2 + 3) + 76 + 28 - 75) to p*y**2 + n*y + t and give p. 113 Express 0 + 0 + 2*p + (4578 - 76*p - 4578)*(-95 - 101 + 197) as j*p + u and give j. -74 Express -1276*x**4 - 1595*x**4 - 3*x**3 + 5101*x**4 - 1698*x**4 + x**3 - 2*x**2 as s*x + t + p*x**4 + n*x**2 + v*x**3 and give n. -2 Express -81*o**2 + 13 - 76*o**2 + 155*o**2 + 3*o in the form n*o**2 + y + m*o and give y. 13 Express 13*d**2 - 3 + 2*d**3 + 445*d - 222*d - 221*d - 1 + 1 - 2*d**3 + (-d**2 - 19 + 19)*(2*d - 3*d + 2*d) in the form c*d**2 + v + x*d + j*d**3 and give v. -3 Express 672*l**3 + 645*l**3 - 738*l**3 + (3*l**3 - 2*l**3 - 5*l**3)*(-4 - 4 + 6) in the form j*l**3 + m + p*l**2 + x*l and give j. 587 Rearrange (16859 + 63122 + 4933 - 13975 + 35956)*(2*o - 2*o - o) to t*o + h and give t. -106895 Rearrange (-90 + 290 + 1836*j - 93 - 107)*(6 - 2 - 1) to d*j + w and give d. 5508 Rearrange (0*s**2 + 8*s**2 + 39*s**2)*(2*s + 5*s + s)*(-2 + 6 - 6) to c*s**3 + t*s**2 + g + z*s and give c. -752 Express 65*x + 3 - 2 - 362*x**2 - 29*x - 36*x - 2*x**3 as t + i*x**3 + v*x + n*x**2 and give i. -2 Express -2 - 129*y**3 - 4*y + 2*y**2 - 47*y**3 + 131*y**3 as g*y + b*y**3 + p + l*y**2 and give l. 2 Rearrange (c**2 - c**2 + 2*c**2)*(-c - c + 3*c) + 507*c
{ "pile_set_name": "DM Mathematics" }
) = -7*b + 6. Let l(n) = -6*a(n) - 17*s(n). Let q(j) = -8*j + 7. Calculate 6*l(m) - 5*q(m). -2*m + 1 Let d(o) = o**2 - 6*o + 3. Let t be d(5). Let a(f) = f - 1. Let g(k) be the second derivative of 2*k**3 - 11*k**2/2 + 110*k. Give t*g(l) + 22*a(l). -2*l Let k(u) = u - 10. Let p(a) be the first derivative of -a - 400. Calculate -k(f) + 6*p(f). -f + 4 Let c(t) = -t**2 - t - 2. Let h(f) = 106*f**3 + 5*f**2 + 5*f + 12. What is 5*c(u) + h(u)? 106*u**3 + 2 Let q = -20 + 22. Let f(s) = 6*s**3. Let b be -73*(-2 - -3)*-1. Suppose 0 = -5*x - 6*z + 3*z + b, -x + 18 = 4*z. Let h(r) = -r**3. Calculate q*f(c) + x*h(c). -2*c**3 Let m(x) be the first derivative of -3*x + 1 - x**2 + 1 + 3*x**2. Let t(r) = -23*r + 17. Let z be (-1024)/(-30) - 38/5985*21. Calculate z*m(u) + 6*t(u). -2*u Let x(o) = -13*o + 90. Let f(y) = 3*y - 23. Calculate 23*f(z) + 6*x(z). -9*z + 11 Suppose 5*z - 28 = 3*p, -z + 2*p + 2 = -5. Let k(n) = 2*n**2 - 4*n + 1. Let r(a) = 4*a**2 - 8*a + 3. Give z*k(t) - 2*r(t). 2*t**2 - 4*t - 1 Let z = 35 - 34. Let y(j) = j**3 - 1. Let c(f) = 8*f**3 - f - 5. Determine z*c(g) - 6*y(g). 2*g**3 - g + 1 Let i(d) be the second derivative of 1/12*d**4 - 1/6*d**3 + 0 + 15*d + 1/2*d**2. Let k(l) = -7*l**2 + 6*l - 4. Determine 5*i(q) + k(q). -2*q**2 + q + 1 Let w(s) = s**3 - 6*s**2 - 7*s + 2. Let i be w(7). Let t(k) = i - 1 + 3 + 3*k. Let p(m) be the first derivative of 2*m**2 + 5*m - 1. What is -2*p(h) + 3*t(h)? h + 2 Let z(x) = -x**3 - 11*x**2 + 8*x - 11. Let d(n) = n**2 + n + 1. Calculate 22*d(k) + 2*z(k). -2*k**3 + 38*k Let s(z) = -z**3 - 5. Let g(q) be the second derivative of q**5/20 + 3*q**2 - 139*q + 1. Suppose 0 = 2*x + x - 12. Give x*g(h) + 5*s(h). -h**3 - 1 Let r be (-12)/24 - (-9)/(-6). Let u(m) be the first derivative of -3*m**2 - 6*m + 3. Let g(b) = b + 1. Give r*u(j) - 10*g(j). 2*j + 2 Let t(j) = 12*j. Let g(o) = -o + 1276 + 9*o - 1276. Calculate -8*g(y) + 5*t(y). -4*y Let p(n) = n**2 + n - 1. Let s(w) = 2*w**3 + 4*w**2 + 7*w + 6. Calculate 4*p(u) - s(u). -2*u**3 - 3*u - 10 Let k(f) = 7 - 4 + f**2 - 7 + 4. Let o(c) = -9*c**2 + 3*c. Give -6*k(b) - o(b). 3*b**2 - 3*b Let k(g) be the second derivative of 0*g**3 + 0 - 1/12*g**4 + 0*g**2 + 22*g. Let f(w) = w**3 + 6*w**2. What is -f(x) - 6*k(x)? -x**3 Let f(n) = 4*n**3 - 3*n**2 - 8. Let x(r) = -4*r**3 + 4*r**2 + 10. What is -4*f(l) - 3*x(l)? -4*l**3 + 2 Suppose -5*t = -14*t + 63. Let g(v) = 2 - 5*v + v - 3 + t. Let c(m) be the second derivative of m**3/2 - 2*m**2 + 6*m. Calculate -7*c(l) - 5*g(l). -l - 2 Let y(p) be the third derivative of -47*p**4/24 - 219*p**2 - 2. Let n(u) = -31*u. Give -8*n(i) + 5*y(i). 13*i Suppose -4*p = -k + 181, 0*p - 3*k = -5*p - 228. Let n(o) = -5*o. Let f(a) = -110*a. Give p*n(r) + 2*f(r). 5*r Let o(m) = m + 1. Let l(c) = -14*c - 7. Suppose -7 = -3*f + 8. What is f*o(i) + l(i)? -9*i - 2 Let n(x) = -x**3 + 3*x**2 + x - 1. Let t(o) be the second derivative of 5/12*o**4 - 46*o + 0 - 1/10*o**5 - 1/2*o**2 + 1/3*o**3. Determine 5*n(g) - 3*t(g). g**3 - g - 2 Let p(j) = 5*j**3 + j**2 + 9*j. Let a(v) = v**3 - 3*v. Let m(h) = -h**3 + 7*h. Let y(b) = -2*a(b) - m(b). Determine -p(f) - 3*y(f). -2*f**3 - f**2 - 6*f Let n(c) = -23*c**2 - 8*c + 4. Let o(y) = -25*y**2 - 8*y + 6. Calculate 3*n(z) - 2*o(z). -19*z**2 - 8*z Let g(b) be the first derivative of b**3/3 + b**2/2 - 22. Let s(o) = 6*o**2 + 10*o. Suppose 0 = -2*t - 6 - 0, -2*t = -2*w - 14. Give w*g(r) + s(r). -4*r**2 Let w be (1 + 3)/(2/(-4)). Let p be (4/8)/(2/12). Let g(r) = 51*r**2 - 143*r**2 + 43*r**2 + 50*r**2 - 3. Let k(f) = 2*f**2 - 8. Determine p*k(z) + w*g(z). -2*z**2 Let h(x) = 5*x**2 + 5*x + 59. Let k(p) = 2*p**2 + 2*p + 22. Let a(m) = 3*h(m) - 8*k(m). Let q = -2 - -4. Let t(l) = -6*l**2 + 4. Determine q*a(b) - t(b). 4*b**2 - 2*b - 2 Let a(r) be the first derivative of -r**2/2 - 5540. Let q = 7 + -14. Let d(u) = -u**2 - 3*u. Give q*a(w) + 2*d(w). -2*w**2 + w Let f(x) = 2*x + 1. Let k(m) = -9*m + 10. Give 2*f(o) - k(o). 13*o - 8 Let x(q) = 3*q**2 + 2*q - 2. Suppose 3*s + 2*s + 29 = 3*l, 2*s - l = -11. Let w(d) = -1. Give s*w(z) + x(z). 3*z**2 + 2*z + 2 Let k(x) = 16 - 4*x + x + 2*x + 11*x. Let y(w) = 3*w + 5. Let a = 33 - 26. What is a*y(t) - 2*k(t)? t + 3 Let t(g) = 5*g**2 - 2*g - 1. Let b(j) = -6*j**2 + 3*j + 1. Suppose 0*u + u + 51 = 0. Let d be (-3 - u/15)*5. What is d*b(m) + 3*t(m)? 3*m**2 - 1 Let r(s) = -s - 5 + 2*s + 2 + 4. Let k(o) = 2*o - 6. Let v(t) = -3*t + 7. Let z(a) = -5*k(a) - 4*v(a). Determine -3*r(c) + 2*z(c). c + 1 Let y(u) = -u**2 - 53*u + 421. Let t(w) = 12*w - 105. Determine -9*t(o) - 2*y(o). 2*o**2 - 2*o + 103 Let a(q) = -1 + 14*q - 31*q + 16*q. Let r(b) = 3*b**2 - 6*b - 5. Determine 4*a(o) - r(o). -3*o**2 + 2*o + 1 Let u(w) be the second derivative of 8*w**3/3 - 5*w**2/2 + 328*w. Let x(r) = -8*r + 3. Give 4*u(d) + 7*x(d). 8*d + 1 Let m(o) = -15*o**2 + 32*o + 194. Let f(v) = -3*v**2 + 6*v + 39. Calculate -11*f(p) + 2*m(p). 3*p**2 - 2*p - 41 Let z be (-10 + 8)/((-4)/(-12)). Let f(x) = -7*x**3 + 6*x**2 - 3*x + 2. Let m(r) = r**3 - r**2. Calculate z*m(k) - f(k). k**3 + 3*k - 2 Let j(v) = -7*v**2 + 36*v - 4. Let i(a) = 2*a**2 + a + 2. What is -2*i(x) - j(x)? 3*x**2 - 38*x Let g(d) be the first derivative of -2*d**2 + 3*d - 264. Let y(i) = -5*i + 2. What is 6*g(b) - 5*y(b)? b + 8 Let p(k) = 59*k - 63*k + 7*k. Let i(r) = r - 1. Suppose 2*o = -4*t + o - 9, -2*o = -5*t - 8. Calculate t*i(q) + p(q). q + 2 Let l(z) = -340*z - 10. Let n(v) = -339*v - 13. Give -5*l(b) + 4*n(b). 344*b - 2 Let w(y) = 5*y - 3. Suppose 17*o - 39 = 29. Let x(a) be the second derivative of -a**3/6 + a**2/2 + 4*a. What is o*x(z) + w(z)? z + 1 Let j(x) = -137*x**2 + 6*x + 3 + 67*x**2 + 74*x**2 - 3*x - 4*x. Let r(f) = 17*f**2 - 5*f + 12. Calculate 9*j(d) - 2*r(d). 2*d**2 + d + 3 Let o(p) = -11*p**2. Let i(m) = -75*m**2. Determine 2*i(l) - 15*o(l). 15*l**2 Let g(a) = a**2 - a. Let n be 3 - ((-1)/3 - (-19)/3). Let r(s) = -4*s. Calculate n*g(b) + r(b). -3*b**2 - b Let n(a) = -3*a + 2. Let i(m) = 20*m - 16. Let h(x) = -2*i(x) - 14*n(x). Let c be (-4 - (-6)/2)*1. Let u(r) = 1. Calculate c*u(p) + h(p). 2*p + 3 Let b(s) = -3*s**3 + 2*s + 2. Let k(d) be the first derivative of -2 + 0*d**3 - 7*d + 5/2*d**4 - 7/2*d**2. Suppose -18 + 14 = -u. Give u*k(c) + 14*b(c). -2*c**3 Let c(o) = -8*o**2 + 8*o + 7. Let f be (-15)/(-10) - (-5)/10. Let d(w) = -w**2 + w + 1. Determine f*c(n) - 14*d(n). -2*n**2 + 2*n Let y(l) = 6*l - 5. Let k(z) be the second derivative of 10*z - 3*z**2 + 0 + 7/6*z**3. Give -3*k(a) + 4*y(a). 3*a - 2 Let i be 2 + 4/(-1) + (-72 - 0). Let d = i - -79. Let b(y) = -6*y**2 - 6*y + 7. Let h(l) = -l**2 - l + 1. Determine d*h(j) - b(j). j**2 + j - 2 Let h(y) = -4*y**2 + 7*y - 7. Let g = 1464 - 1470. Let f(k) = 3*k**2 - 6*k + 6. Determine g*f(o) - 5*h(o). 2*o**2 + o - 1 Let o(w) = -w**3 - 9*w**2 - 15*w + 20. Let g be o(-6). Let m(a) = -13*a**2 - 2*a + 2. Let c(f) = -52*f**2 - 9*f + 9. Give g*c(d) - 9*m(d). 13*d**2 Let p(d) = -29*d**2 + 3. Let z(a) = 173*a**2 - 17. What is -34*p(g) - 6*z(g)? -52*g**2 Let i(s) = 0*s**3 + s**3 + 1 - 3. Let u(o) = o**3 - 1. Let q = -1916 + 1914. Give q*i(m) + 4*u(m). 2*m**3 Let m(t) = -6*t - 17. Let n(q) = 6*q + 1. What is m(k) + 6*n(k)? 30*k - 11 Let w(u) = -36*u**2 + 10*u - 16. Let x(i) = -10*i - 16*i - 7*i**2 - 3 + 28*i. What is -3*w(k) + 16*x(k)? -4*k**2 + 2*k Let o(h) = -h**2 - 1. Let k(g) = -7*g**2 + 3*g**2 - g + 2*g**2. Let p(j) = j**2 - 8*j - 1. Let v be p(8). Calculate v*k(y) + o(y). y**2 + y - 1 Let d(i) = -i**2 - i. Suppose y = -s + 6*y + 4, 4 = -s - 3*y. Let p(h) = -7*h**2 - 6*h + 3. What is s*p(g) + 6*d(g)? g**2 - 3 Suppose 11 = 3*s - 7. Let p(h) = h + 1. Let q(o) = o + 19. Let r be q(20). Let z(j) = 21*j - r*j + 15*j - 6. Give s*p(l) + z(l). 3*l Let n(u) = 2*u**2 + 2*u + 2. Let s(g) = -g**3 + 3*g**2 + 3*g + 3. Let f = 8 + -11. Let k(v) = 11*v + 24. Let h be k(-2). Determine f*n(z) + h*s(z). -2*z**3 Let r(l) = l**3 - 2*l**2 - 2*l + 3. Let a(g) = 3*g**2 - 33*g + 31. Let b be a(10). Let x(t) = -t**3 + t**2 + t - 1. Determine b*r(i) + 3*x(i). -2*i**3 + i**2 + i Let i(k) = 18 - 33*k - 6 - 13 - 4. Let o(l) = 8*l + 1. Determine 2*i(w) + 9*o(w). 6*w - 1 Let j(x) = -592*x**3 - 4*x**2 - 4*x. Let r(z) = -65121*z**3 - 441*z**2 - 441*z. What is -441*j(s) + 4*r(s)? 588*s**3 Let d(a) = 3938725*a - 17750. Let z(w
{ "pile_set_name": "DM Mathematics" }
/4)))**24/(k*k**6)**(-21))**(15/8) assuming k is positive. k**(2835/8) Simplify ((v**(-1/2))**(3/7)/((v/(v/v**3))/v**(-6)))/(v/(v/(v*v**(-1/2)/v))*v/v**1*v/(v*(v/(((v**(-1)*v)/v)/v))/v*v)*v**(-1/4)) assuming v is positive. v**(-153/28) Simplify (t*(t/(t**(-11)*t))/t*t*t*t/t**5*t*t*t**(-16)*t*t*t**20)**40 assuming t is positive. t**680 Simplify ((t*t/(t/(t**(1/3)/t))*t)/t**6*((t/(t/(t*t/(t*t**(-1)*t))))/t)**(-27/7))/(t**(2/13)/t**2*((t/t**(2/13))/t)/t**(5/4)) assuming t is positive. t**(-17/12) Simplify (p/p**(-2))**(1/45)/((p/p**(-4))/(p**(-1/4)/p))*(p**1*(p*p**10)/p*p)**42 assuming p is positive. p**(29869/60) Simplify ((((t**(2/33)/t)/t)/t**(2/5))/((t/t**(-4/7)*t)/t**(-3)))/(t**(-2/21)*t/t**(-3)*(t/(t/t**(-3/8)))/t*t**(2/3)) assuming t is positive. t**(-102631/9240) Simplify (((j*j**(-1)*j)/j)**(-2/29))**23/((((j*j**(-4/7))/j)/j**(-2/5))/(j*j/j**(-2/5)*j)**(-1/18)) assuming j is positive. j**(-11/630) Simplify ((p/p**(6/5))/p*p*p**(-4/3)*p*p*p**13*p*p**(-3/5))**(-42) assuming p is positive. p**(-2912/5) Simplify (t/((t*t**(-1)*t)/t))**(-2/79)*(t**1)**(-32/7)*(((t**(-1)*t)/t)/t**(-1/6))/((t/((((t*t**(2/19))/t)/t)/t))/(t/t**(-6))) assuming t is positive. t**(-83519/63042) Simplify (a/(a/a**2)*a)**6*a**5/(a/a**(-3/5))*a**(-5)/a**4*a**5/((a**(-8)*a*a)/a) assuming a is positive. a**(122/5) Simplify ((f*f**(-2)/f)**(-1/38))**(-26)/(((f*f*f**(-1/6)*f*f*f)/(f*f**(-2/9)))/(f/(f*f**(-2/9)*f))**(4/11)) assuming f is positive. f**(-21469/3762) Simplify ((o**(-3/4)*o)/o*o*o/o**9*o**(-16)/(o/o**(-1/7)*o))**(-17) assuming o is positive. o**(12325/28) Simplify ((s**24/(s*s*s*s**(7/4)/s))/((s/((s/(s/s**10))/s))/(s**(-1/2)*s)))**3 assuming s is positive. s**(345/4) Simplify (((s**3*s*s*s/(s/(s**(-6)*s)))**(3/5))**(-16))**(-44) assuming s is positive. 1 Simplify ((c/((c/(((c*c/(c/c**(7/2))*c*c*c)/c)/c*c*c)*c)/c)*c)/(c**22*c))/(c*c**(-15)*c**(2/35)) assuming c is positive. c**(-39/70) Simplify ((i**1)**(-25)*i**(-1/6)/i**(2/3))/(i/(i/(i/i**(3/4))*i)*i**(-5)*i**(-1/8)/(i*i/i**(2/13)*i*i)) assuming i is positive. i**(-5027/312) Simplify ((l*l*l**2*l*l)/l**(4/7))**(10/11)/((l**(3/5)/l**(-9))/((l/(l**(-1/9)/l)*l*l*l)/(l*l/l**(1/10)*l))) assuming l is positive. l**(-3401/1386) Simplify ((q*q/((q/q**(-2/3))/q))**(-22))**(-20)/((q/q**(1/4))**(-5/6))**(-4/19) assuming q is positive. q**(66865/114) Simplify (b**(1/6)*b**(-1/5)*b**(-3/5)/(b*b*((b*b*b/(((b**3/b*b*b)/b)/b))/b)/b*b))/((b*b*b/(b**1/b)*b)**(16/7))**(-48) assuming b is positive. b**(91607/210) Simplify (g**6*g*g/g**(-1))**(8/11)*(g/g**(1/4)*g)**(23/3)/(g**7/(g*g**2)) assuming g is positive. g**(2107/132) Simplify ((((z**7/z)/z)/z)/(z*z**(-8)))/(z**2*z)**25*z**(-1/3)*z**(-4)*(z*z**(-2/9)/z*z)**(8/3) assuming z is positive. z**(-1789/27) Simplify ((x*x*x**(1/3))/x*x)**19*(x*x**5)/((x/x**(-1/2))/x*x)*((x*(x/x**(2/7))/x)**50)**(-1/33) assuming x is positive. x**(22061/462) Simplify (w**(8/13)*w**20*w*w**(-3/5)*w**22)**(-7/10) assuming w is positive. w**(-9786/325) Simplify (c*c/(c*c**(-2/5))*c*c**(4/5))/(c**(2/5)*c/c**(2/7)*c)*c**(-2/9)/((c**(-4/7)*c)/c*c*c)*(c*c**4)/(c/c**(-2/19)*c) assuming c is positive. c**(13943/5985) Simplify (d*d*d/(d**(-33)/d))**8/(d**(-14)/(d/((d/d**(-3/2)*d)/d))) assuming d is positive. d**(617/2) Simplify ((t*t**(2/5)*t)/t**(-10/3))**33/((t**(2/5)*t)**(-45)*(t*t**0)**(-1/3)) assuming t is positive. t**(3788/15) Simplify (r/r**1)**(12/11)*(r**1)**(-35)*r*r**(-2/23)*r*r**(-1/7)*r*r**(-3/2)/r*r*r**(-3)/r assuming r is positive. r**(-12149/322) Simplify (r**(-6)/(r*r**(3/4)/r))**(6/17)/((r*r**(-3))/r**(-1/6)*(r/(((r/((r*r*r/(r/r**(-2/3)))/r))/r)/r*r))**(-1/16)) assuming r is positive. r**(-95/204) Simplify (l**8*l**8)**(4/7)*(l/(l/((l*l**(8/7)*l*l)/l))*(l**(1/5)*l)/l)**(1/6) assuming l is positive. l**(97/10) Simplify ((p/((((p*(p**(-15/2)*p)/p)/p)/p)/p)*p**22)/(p/(p**(6/7)*p)*p**(-11)*p))**(2/47) assuming p is positive. p**(607/329) Simplify (q/(q/(q*q**(2/9)/q)))**(1/6)/(q*(q/(q*q/(((q/(q/q**1))/q*q)/q)))/q)**(-35)*(q**3/q)/(((q/(q*q**5))/q)/q*q*q)*(q*q**9*q)/q**7 assuming q is positive. q**(-647/27) Simplify (((k**15/k)/k**(-10/9))/(k**(1/23)/k*k**4))**(-24) assuming k is positive. k**(-19984/69) Simplify (((t**(1/4))**(3/23)/(t**(-1/8)*(t*t/((t**(-7)/t)/t))/t))**43)**(13/6) assuming t is positive. t**(-1012349/1104) Simplify (n*n*n*n**(1/4)*n*((n**(-48)*n)/n)/n)/(n**(2/3)*n*(n*n*n**(-42)/n)/n*n) assuming n is positive. n**(-65/12) Simplify ((d**(2/5))**8)**(-8)*((d*(d*d**(2/9))/d*d)**(-1/39))**17 assuming d is positive. d**(-46628/1755) Simplify ((s*s**(-2/3)/s*s*s)/s)**(-4/25)/(s**6*s/(s*(s/(s**(-4/9)*s))/s)*s)*((s*s**0*s)/(s/(s**5*s)))**(-2/187) assuming s is positive. s**(-323294/42075) Simplify ((z/(z**(-1/4)*z*z*z))**(4/3)/(z**(-3)*z*z**(-1)*z))/((z**(-9/2)*z)/z*z*z**(-8))**(4/3) assuming z is positive. z**15 Simplify ((o/(o**(1/4)/o))/o*o**(-4))**(-2/7)*(o**(-1))**(-2/5)*o**(-2/5)*o*o/o**3*o assuming o is positive. o**(13/14) Simplify ((n**(-4))**(-5))**45*(n**(2/3)*n)**(-27)/(n/n**(2/7))**(-16) assuming n is positive. n**(6065/7) Simplify ((m/(m*m*m*m**(1/7)*m*m))/((m/((m*m**(5/2))/m*m)*m)/m)*m**15/m**(5/6))**(1/20) assuming m is positive. m**(263/420) Simplify (z/(z**0*z*z)*z**(-3/4)*(z**(-2/5))**(-13))/(((z/(z/z**(-4)))/z**(1/4))/(z*z*z*z*(z**0/z*z)/z)**(-1/35)) assuming z is positive. z**(533/70) Simplify (t/(t*t/(t*t/t**(-1/3)))*(t/(t/((t/(t**10/t*t))/t)))/t)**(-2/13)*((t**(3/2)*t*t)**(-35))**(-20) assuming t is positive. t**(95608/39) Simplify ((y**(-2/3)/y)/(y/(y/(((y*y**34)/y)/y))*y))/(y/(y*y/(y**(-3)*y)))**(-7) assuming y is positive. y**(-170/3) Simplify ((r*(r*r**(-1/4)*r)/r*r*r)**(6/19)*r**(-1/12)/((r*r/r**(-15))/r))**(-18) assuming r is positive. r**(10191/38) Simplify (((o*((o*(o*o**(-44))/o*o*o)/o)/o*o)/(o**(9/2)*o))/(o/((o*(o**(10/17)/o)/o)/o))**(-27))**(4/19) assuming o is positive. o**(1266/323) Simplify (((p*p/p**(-1/5))**(-5/9))**(4/19))**(-41) assuming p is positive. p**(1804/171) Simplify (n*n/(n*n**(-2/47))*n)/n*n*n**(-1)/n*(n**(2/41))**(9/2) assuming n is positive. n**(505/1927) Simplify (i**(-2/3)*i**(-3/11)*i*i/(i/i**(-6/5))*i*(i/i**(-2/5)*i)/i*i)/(((i/(i*i**(-7)/i)*i)/i**(2/3))/(i*i*i**9*i*i**(-7))) assuming i is positive. i**(-59/55) Simplify ((y**4*y/(y**25/y))/((y/(y/y**(-4/5))*y)/(y/(y*y*y**(-4/7)))))**50 assuming y is positive. y**(-6870/7) Simplify ((l/(l/(l/(l**(-2)*l)*l))*l)/(l/(l*l/(l**(-26)*l)*l*l)))/(l**38*l*l*(((l*l/((l*l**(-28))/l)*l)/l*l)/l*l)/l) assuming l is positive. l**(-38) Simplify (((((j*j**9)/j)/j)/j*j/j**5)/(j*(j*j/j**(-4))/j*j*j)**(-4/3))**4 assuming j is positive. j**(164/3) Simplify ((o**(-3/10)/o**(-44))/(o**(-12))**(11/7))**(-18/7) assuming o is positive. o**(-39411/245) Simplify ((m**(-16)/(m*m**(1/21)))/(m**(-4/3)*m)**(-9/2))**4 assuming m is positive. m**(-1558/21) Simplify ((m*m**4/m)/(m**(1/2)*m))/(m**(2/7)*m*m**(2/11)*m)*(m**(-2)*m*m*m*m/((m/(m*m**5))/m))**(1/22) assuming m is positive. m**(61/154) Simplify (q*q**(2/5)*q)**19/(q*q**1)**(-1)*((q**(-2/7))**(2/9))**(-18) assuming q is positive. q**(1706/35) Simplify (s**(-1/4)*s**(-6/5)*s**(-8/5)/(s/(s/(s**(-25)/s))))**(-15) assuming s is positive. s**(-1377/4) Simplify (v**(-8/3)/v*v**(-1/6))**(-30)/((v/((v/v**(-11))/v))/((v/v**(-1))/v))**(-11) assuming v is positive. v**(-6) Simplify ((((i/(((i/((i/i**(-11)*i)/i))/i*i)/i))/i*i*(i/(i*(i**2/i*i)/i))/i)**(-36))**(-14))**(23/3) assuming i is positive. i**42504 Simplify ((m/m**(-2/7))**(-17))**(2/85)/(m**(-3/4)*m**(-7)*m*(m*m**0)/(m*m**(-4)*m)) assuming m is positive. m**(453/140) Simplify ((v**4*v)/(v*v*v**2*v*v))**(-1/4)/((v*v**(-3)*v*v)/v**(-3/2))**27 assuming v is positive. v**(-161/4) Simplify r**(-2/5)/(r/r**(-5/4))*(r/(r**(-1)/r))**(-3/7)*(r**(2/3))**(-9)/(r**(-3)/(r*r**(4/7))) assuming r is positive. r**(-751/140) Simplify (d/(d**(-1)*d*d))/d**(4/23)*(d/d**(-2/15))**(3/7) assuming d is positive. d**(251/805) Simplify d**(12/11)*d*d*d**46*(d/(d/(((d/d**(8/13))/d)/d*d)*d))**11 assuming d is positive. d**(4479/143) Simplify ((r/(r**(1/4)*r)*r)/r)**21/((r*r*r**0)/(r/r**(-7)))*(r*r**(-6)*r**7)**(2/69) assuming r is positive. r**(223/276) Simplify ((l**(-7/3))**(-41)/(l**(-5/7)/l*l/(l/(l*l**(-5/4)/l))))**(1/17) assuming l is positive. l**(8285/1428) Simplify (((t**(2/3)*t**7)/(t**1*t)**(1/4))**(2/7))**28 assuming t is p
{ "pile_set_name": "DM Mathematics" }
78 = 24*o + 90 for o. -11 Solve 15*f + 165*f + 1800 = 0 for f. -10 Solve 0*a + 0*a = 2*a - 10 for a. 5 Solve 7*t - 76 = -216 - 28 for t. -24 Solve 6*d + 0*d = -5688 + 5550 for d. -23 Solve 318*y - 245*y = 1971 for y. 27 Solve 330*q + 31522 = 40102 for q. 26 Solve 27 = 12*w + 207 for w. -15 Solve 300*y - 318 - 4149 = -1189*y for y. 3 Solve -13323*w = -13380*w + 1368 for w. 24 Solve 0 = 681*h + 4874 + 1255 for h. -9 Solve -361 = -49*d - 81*d - 2311 for d. -15 Solve -1059 = 260*y - 182 + 2503 for y. -13 Solve 11522*l = -11510*l + 23005*l - 513 for l. -19 Solve -43723 = 1972*w - 71*w for w. -23 Solve 618 - 274 = -43*l for l. -8 Solve 46*r = -21*r + 93*r + 546 for r. -21 Solve 46*w - 8 = 41 - 3 for w. 1 Solve 129*z = 92*z for z. 0 Solve -15*p + 25 = 61 - 21 for p. -1 Solve -227 + 82 = 22*c + 75 for c. -10 Solve -165*m + 35*m = 741 + 559 for m. -10 Solve -3010 = -57*x - 2440 for x. 10 Solve -78011*t - 40 + 4 = -78008*t for t. -12 Solve -28*a = 8*a + 120*a + 156 for a. -1 Solve -4*y + 7*y = 4*y - 4 for y. 4 Solve -22*x = -4*x + 52*x + 1610 for x. -23 Solve -176*a - 10 = -173*a + 14 for a. -8 Solve -3027 + 3394 = 578*o - 6569 for o. 12 Solve 715*m = 612*m + 103 for m. 1 Solve -4*f + 13*f + 12333 - 12216 = 0 for f. -13 Solve 31*l + 271*l - 4228 = 0 for l. 14 Solve -3592*d = -3573*d + 38 for d. -2 Solve -16*j = 37*j - 27*j - 78 for j. 3 Solve -1116*o + 434*o + 20460 = 0 for o. 30 Solve 13*r - 218 = -1 - 22 for r. 15 Solve 0 = 452*n - 402*n + 1400 for n. -28 Solve -260 = 5306*s - 5293*s for s. -20 Solve 19*m = 140372 - 140923 for m. -29 Solve 0 = -50*c + 161*c + 1332 for c. -12 Solve -1997*m + 460 = -1951*m for m. 10 Solve -23 - 83 = -13*q - 2 for q. 8 Solve 27*g + 991 - 525 = 601 for g. 5 Solve 104*m + 1656 = -128 + 120 for m. -16 Solve -288 = 503*m - 467*m for m. -8 Solve 235*b - 360 = 255*b for b. -18 Solve 12*i - 42*i = -450 for i. 15 Solve 3*o = -10*o - 160 + 160 for o. 0 Solve 2437*m - 15122 = 28744 for m. 18 Solve 246*s = 6*s - 7211 + 1451 for s. -24 Solve 27*x = 14*x - 26*x - 3*x for x. 0 Solve 0 = 517*g - 8 + 8 - 0 for g. 0 Solve -21*b - 1540 = -98*b for b. 20 Solve -6*f - 12*f - 130 - 32 = 0 for f. -9 Solve 81*a + 34*a + 1440 = -29*a for a. -10 Solve -28*f + 57*f - 14*f = -150 for f. -10 Solve 1056 = 4*f + 1020 for f. 9 Solve 1538 + 10221 = -607*k - 462*k for k. -11 Solve -91*d - 2254 = -2163 for d. -1 Solve 0 = -2141*s + 2149*s - 32 for s. 4 Solve 0 = -15*v - 74*v - 64*v + 2448 for v. 16 Solve 16*i = 35*i - 18*i - 13 for i. 13 Solve -19013 + 18140 = 97*t for t. -9 Solve -12*q + 36*q - 45 - 75 = 0 for q. 5 Solve -125*y + 445*y - 1920 = 160*y for y. 12 Solve 64691 = 13*x + 64899 for x. -16 Solve -14 - 246 = 68*y + 148 for y. -6 Solve -2652*z = -2615*z - 518 for z. 14 Solve -33*z - 4944 = -232*z - 7*z for z. 24 Solve 26*j + 12 = 130 + 116 for j. 9 Solve -525 = -23*m + 381 - 1182 for m. -12 Solve -387 = 131*z + 1043 + 1059 for z. -19 Solve -3629*g + 3626*g = 3 for g. -1 Solve 0 = 8*m + 371 - 752 + 421 for m. -5 Solve 4*z - 52 = -22*z for z. 2 Solve 0*n = -9*n - 10 - 89 for n. -11 Solve 264*n - 1404*n = -27*n + 10017 for n. -9 Solve -9*r + 23*r + 633 = 255 for r. -27 Solve 11*r = 29*r + 216 for r. -12 Solve 3*a + 2055 = 2076 for a. 7 Solve 13*p = -33*p + 12*p for p. 0 Solve -105*u = 157*u + 323*u + 18720 for u. -32 Solve 0 = -449*m - 109*m + 11718 for m. 21 Solve 16*l = 134 + 10 for l. 9 Solve 3*o + 0*o - 36 = -6 for o. 10 Solve -136*r + 13906 = 18666 for r. -35 Solve 64*u + 411 + 1734 = -131*u for u. -11 Solve 82*c + 3564 = -80*c for c. -22 Solve 613 = 162*f + 264*f - 239 for f. 2 Solve 0 = 421*m + 100 - 100 for m. 0 Solve -25*k = 38*k - 51*k for k. 0 Solve -49*i - 205 = -283 + 911 for i. -17 Solve 48339 = -987*m + 12807 for m. -36 Solve 35*i - 14*i - 271 = 2 for i. 13 Solve 330 = -129*k + 19*k for k. -3 Solve -24*y - 302 + 734 = 0 for y. 18 Solve 1336 = -138*q - 866 - 696 for q. -21 Solve -521*y = -492*y + 406 for y. -14 Solve -66*z = -21 + 16 + 137 for z. -2 Solve -26*w - 468 = 2*w + 8*w for w. -13 Solve 0 = 93*o + 644*o - 12529 for o. 17 Solve -211*k = -556*k - 6210 for k. -18 Solve 798 = -746*k - 3269 - 7869 for k. -16 Solve -21*d - 95 = -355 - 202 for d. 22 Solve 34698 = 19*z + 34717 for z. -1 Solve 0 = 832*i - 6905 + 12718 + 9995 for i. -19 Solve m - 9*m - 710 = 63*m for m. -10 Solve 1633 = -312*b - 271*b + 512*b for b. -23 Solve 154*u - 92*u - 90*u + 224 = 0 for u. 8 Solve -54 = -101*o + 119*o for o. -3 Solve -801396*f = -801404*f + 232 for f. 29 Solve 0 = 37*m - 34 - 40 for m. 2 Solve -8486*u + 8470*u + 240 = 0 for u. 15 Solve 1301 = 95*d + 161 for d. 12 Solve -23*l + 8*l - 1260 = -105*l for l. 14 Solve 5*n - 14*n + 6*n + 45 = 0 for n. 15 Solve 9*l - 16*l - 59 + 10 = 0 for l. -7 Solve -137*j - 1534 - 22 = 362 for j. -14 Solve 0 = -13*d - 74429 + 74559 for d. 10 Solve 92 = 101*s - 55*s for s. 2 Solve -1091*y + 1721*y - 14490 = 0 for y. 23 Solve 952 = -89*z - 92*z - 496 for z. -8 Solve 280*m - 39 = -276*m + 543*m for m. 3 Solve -133*h + 867 = -99*h + 323 for h. 16 Solve -34881*r - 900 = -34836*r for r. -20 Solve -2110*b + 779 = -2151*b for b. -19 Solve -108*a - 40 - 1074 = 1694 for a. -26 Solve 8822*u = 8059*u + 23653 for u. 31 Solve -240*f + 1754 = -1117*f for f. -2 Solve -411*q + 310*q - 1515 = 0 for q. -15 Solve -39*n = -16*n - 20*n - 12 for n. 4 Solve 32*m + 443 - 59 = 0 for m. -12 Solve 0 = -4881*r + 4880*r - 8 - 3 for r. -11 Solve 3043*u = 3060*u + 204 for u. -12 Solve -78*g - 148 = -4*g for g. -2 Solve -338*u = -539*u - 3417 for u. -17 Solve -45*l + 10*l = 9*l + 352 for l. -8 Solve -167*z = -875 - 294 for z. 7 Solve 1549 = 136*k + 4269 for k. -20 Solve -73 = -6*s - 103 for s. -5 Solve -276*a = -379*a + 1133 for a. 11 Solve 75*t + 555 + 456 = -564 for t. -21 Solve 42*x + 9313 - 8935 = 0 for x. -9 Solve 3735*s + 56 = 3743*s for s. 7 Solve -1068 + 1200 = -12*p for p. -11 Solve 42*r - 11*r = 12*r - 703 for r. -37 Solve -34*s + 770 - 430 = 0 for s. 10 Solve -26*u + 2*u = 1103 - 1463 for u. 15 Solve -14*j + 247 - 177 = 0 for j. 5 Solve -1534*m = -1165*m + 738 for m. -2 Solve -386 - 5024 = -406*n + 6364 for n. 29 Solve -197 = -41*y - 59 + 190 for y. 8 Solve 3*v + 14*v + 18161 = 18127 for v. -2 Solve 2684 + 11196 = -1388*m for m. -10 Solve 55*l + 700 = 76*l - 56*l for l. -20 Solve -12*f + 155*f = -50*f + 3860 for f. 20 Solve -30*i + 227 - 43 = 16*i for i. 4 Solve -88*o = 12*o + 18*o + 1888 for o. -16 Solve 131 = -38*k - 211 for k. -9 Solve 89*g = 37*g - 416 for g. -8 Solve -44*w - 10*w = 7*w - 549 for w. 9 Solve 45*c = 45*c + 14*c - 252 for c. 18 Solve 125*f + 1399 + 447 = -154 for f. -16 Solve -30*q + 2390 + 1012 = 213*q for q. 14 Solve -942*i - 799 = -1014*i + 641 for i. 20 Solve -51 = -44*c + 378 - 33 for c. 9 Solve -75*t + 25 = -156*t + 76*t for t. -5 Solve 59*z = 12*z + 22*z + 175 for z. 7 Solve -67*t - 5 = 73*t - 139*t for t. -5 Solve 399*y = -3631 - 1157 for y. -12 Solve -15*m = -1417 + 1477 for m. -4 Solve -318*f + 524 = -13*f - 1611 for f. 7 Solve 244 = -23*n - 99*n for n. -2 Solve -63 - 43 = 84*z - 22 for z. -1 Solve 7*o - 852 = -929 for o. -11 Solve 1038*w - 522 = 1299*w for w. -2 Solve 242*n + 3362 = -268 for n. -15 Solve 654*l = 656*l for l. 0 Solve 33 - 345 = 26*f for f. -12 Solve 97*o = -94*o + 49*o - 710 for o. -5 Solve 6*t + 431 = -58*t - 337 for t. -12 Solve -4872*i = -4877*i + 160 for i. 32 Solve -11 = -8*k - 38 - 45 for k. -9 Solve -8*u - 6*u = 24*u + 1102 for u. -29 Solve -236*a + 3802 = 6162 for a. -10 Solve -2030 - 224 = -161*y for y. 14 Solve 27 - 657 = 90*v for v. -7 Solve -9*n + 90 + 78 = -93*n for n. -2 Solve -64*d + 51887 = 49903 for d. 31 Solve 37*y - 62 = -6*y + 368 for y. 10 Solve -2256 - 1351 = 205*t + 2133 for t. -28 Solve 585 = 147*s + 144 for s. 3 Solve -14171*g = -14186*g + 225 for g. 15 Solve 7*h + 19*h + 40 = 300 for h. 10 Solve -230*x + 5 - 5 = 98*x for x. 0 Solve 21*z = 10*z - z + 2*z for z. 0 Solve -3*u - 196 = -16*u + 62*u for u. -4 Solve 1026 = 6570*v - 6456*v for v. 9 Solve 0 = 22*m + 34*m - 672 for m. 12 Solve -72*i - 49 = 19*i - 42*i for i. -1 Solve -42*j + 62 + 34 = -198 for j. 7 Solve 664*f = -502*f - 17490 for f. -15 Solve 124*n - 86*n = 380 for n. 10 Solve 10*h + 3*h + 4059 = 3929 for h. -10 Solve -31*q + 6*q = 67 + 58 for q. -5 Solve 2191 - 3595 = 313*c + 3291 for c. -15 Solve 453*v - 2
{ "pile_set_name": "DM Mathematics" }
(r) wrt r. 34 Let g(n) be the first derivative of 2181*n**4/4 + 4231*n**3/3 + 2627. What is the third derivative of g(v) wrt v? 13086 Let b(a) be the third derivative of -1/30*a**5 - 11/105*a**7 + 0*a**6 + 2 + 0*a - 12*a**2 + 43/24*a**4 + 0*a**3. Find the second derivative of b(w) wrt w. -264*w**2 - 4 Let f(k) = 14*k - 13. Let b(u) = 2*u. Let l(g) = -6*b(g) + 2*f(g). Let d be l(4). Find the first derivative of -d*r - 3 + 0 - 45 wrt r. -38 Let h = 49 - 39. Suppose 0 = -h*j + 3*j + 28. What is the second derivative of -11*g - 8*g + 4*g + 2*g**j wrt g? 24*g**2 Let n(l) be the first derivative of 25*l**3/3 - 29*l**2/2 - 189*l - 132. Differentiate n(t) wrt t. 50*t - 29 Let h(u) be the second derivative of u**5/12 + 19*u**4/24 - 19*u**3/6 - 16*u. Let b(x) be the second derivative of h(x). Differentiate b(q) with respect to q. 10 Let r = 0 + 7. Suppose -3*o = v - r, 2*o - 21 = 4*v - 7. Find the first derivative of -8*p**o + 3 - 22*p + 22*p wrt p. -24*p**2 Let i(d) = d**4 - 1. Let g(y) = 1959*y**4 - 3970*y**4 + 1981*y**4 + 28. Suppose 2*o = -3*o - 30. Let t(s) = o*i(s) - g(s). What is the derivative of t(p) wrt p? 96*p**3 Let j(y) = -5141*y**2 - 1608*y - 13. Let l(x) = -2571*x**2 - 807*x - 8. Let m(p) = 3*j(p) - 5*l(p). Find the second derivative of m(u) wrt u. -5136 Let g(a) be the first derivative of -20 - 23/6*a**3 + 41/2*a**2 - 17*a. Let u(f) be the first derivative of g(f). What is the derivative of u(i) wrt i? -23 Suppose -5*w - 3*u + 16 = 0, 4*u - u - 8 = -w. Let x be (w - 1)*(8 - -22). Find the second derivative of -6*j**2 + 22*j - x*j + 40*j wrt j. -12 Suppose 3*n - 2*l = 48, -l - 51 = -3*n + 2*l. Let u = -755 - -769. What is the second derivative of -15*h**3 + u*h**2 - 3*h + 14*h - n*h**2 wrt h? -90*h Let y = 109 + -107. Differentiate 0*h - 2*h - 39 + 84*h**y + 194 - 36 wrt h. 168*h - 2 Let q = -195 - -197. Find the second derivative of -71*z + 2*z**q - 2*z**2 - 34*z**3 + 37*z**3 wrt z. 18*z Let j(i) = -2111*i**2 + 615*i + 3. Let o(k) = -24*k**2. Let p(t) = j(t) - 4*o(t). What is the second derivative of p(n) wrt n? -4030 Let g(z) be the second derivative of -1/3*z**3 + 4/15*z**6 + 30*z**2 + 0*z**4 - 2*z + 2 + 0*z**5. What is the first derivative of g(y) wrt y? 32*y**3 - 2 Suppose 4*c + 2 = 18. Let w = c - 0. Find the third derivative of 57*x**4 - 17*x**w - 1134 + 1134 - 41*x**2 wrt x. 960*x Let a(r) = 109*r**2 + 11*r - 1054. Let j(z) = -106*z**2 - 9*z + 1051. Let b(v) = 3*a(v) + 4*j(v). Differentiate b(g) with respect to g. -194*g - 3 Let g(x) be the first derivative of -276*x**5/5 - 7*x**4/4 + 133*x**2/2 - 6*x + 2891. What is the second derivative of g(f) wrt f? -3312*f**2 - 42*f Let o(u) be the third derivative of 64*u**6/3 - 19*u**5/6 + u**3/2 + 2591*u**2. Find the third derivative of o(z) wrt z. 15360 What is the third derivative of -8048*o**3 + 2*o**4 - 382*o**2 + 4*o**2 - o**4 + 8038*o**3 - 17*o**5 wrt o? -1020*o**2 + 24*o - 60 Let x(p) = -p**2 + 21*p + 72. Let j be x(23). What is the second derivative of -75*z + 18*z - 35*z**2 + j*z wrt z? -70 Let u(p) = -1396*p**3 - 1720*p + 46. Let i(y) = -349*y**3 - 430*y + 12. Let v(t) = 23*i(t) - 6*u(t). Find the second derivative of v(o) wrt o. 2094*o Let k = -139 + 245. What is the third derivative of 5*i + 69*i**3 + 63*i + 24*i + 2*i**2 - k*i**3 wrt i? -222 What is the third derivative of 225*q**6 + q**4 - 147*q**2 - 208*q**2 - 94*q**2 + 360*q**6 wrt q? 70200*q**3 + 24*q Suppose 377 = 34*o - 439. What is the third derivative of 37*w**2 - 10939*w**3 + 10939*w**3 - o*w**5 wrt w? -1440*w**2 Suppose b - 3*b + 3*u + 97 = 0, 5*u = 4*b - 197. What is the second derivative of 17*d - d**2 - 2*d**2 + b*d + 28*d**2 wrt d? 50 Let y(s) be the second derivative of 0 + 0*s**4 + 0*s**3 - 57*s - 37*s**2 + 49/20*s**5. Find the first derivative of y(w) wrt w. 147*w**2 Let w = 20 - -164. Let p be (0 - -1)/(1/211). Find the third derivative of -6*n**5 - p*n**2 + w*n**2 + 14*n**5 wrt n. 480*n**2 Let n be 11/((-33)/(-18)) - (-118 - -121). Let r(a) be the second derivative of 0 + 31/2*a**2 - a**n + 29*a. What is the first derivative of r(b) wrt b? -6 Let j(g) = -8*g + 34 - 4*g**2 - 75 + 41. Let f(b) = -b. Suppose -2*x - 16 - 8 = 0. Let c(o) = x*f(o) - j(o). What is the second derivative of c(p) wrt p? 8 Let k be (-4)/(-4) - (11 - 13). Differentiate -262*u**3 + 128*u**k - 3 - 7 + 133*u**3 - 3*u**2 with respect to u. -3*u**2 - 6*u Suppose 0 = 4*i - 0*i - 4, 0 = 3*v - 3*i - 3. Find the third derivative of -91*c**v - 95*c**5 - 42*c**2 + 21*c**2 wrt c. -5700*c**2 Let n(h) = h**3 - 19*h**2 + 12*h + 38. Let y be n(17). Let j = -61 - y. What is the first derivative of 0*x + 0*x + j - 14*x**2 - 256 wrt x? -28*x Let i = -163241/6 + 27210. Let u(y) be the third derivative of 3/2*y**4 + 0 - 33*y**2 - i*y**3 + 0*y. Find the first derivative of u(s) wrt s. 36 Let y(v) be the second derivative of 7*v**6/30 + v**5/5 + 495*v**4/4 + 130*v. What is the third derivative of y(g) wrt g? 168*g + 24 Let r(y) = 2*y**2 + 4*y + 10. Let w be r(-3). What is the third derivative of 4*h**3 - 241*h**2 + 96*h**2 - 6*h**4 + 10*h**4 - w*h**3 + 2*h**4 wrt h? 144*h - 72 Let q(w) = 9*w**3 - 4*w**2 - 124*w - 681. Let l(k) = -21*k**3 + 10*k**2 + 249*k + 1361. Let s(u) = -2*l(u) - 5*q(u). Differentiate s(i) wrt i. -9*i**2 + 122 Let c be (-63)/(-45) + 2/(-5). Let q(n) = 213*n**2 - 3*n + 1. Let x(p) = 2*p**2 - p + 2. Let d(k) = c*x(k) - q(k). What is the second derivative of d(g) wrt g? -422 Differentiate -1879 + 4766 + 2492 - 1792*b + 5987 - 942 with respect to b. -1792 Find the first derivative of -n**2 - n + n - 461*n**3 - 5748*n**4 + 1941 + 5745*n**4 wrt n. -12*n**3 - 1383*n**2 - 2*n Let i(y) be the third derivative of -14*y**5 - y**4/12 + 2002*y**3/3 - 2*y**2 - 520*y. What is the derivative of i(u) wrt u? -1680*u - 2 Let z(x) be the second derivative of 27/2*x**2 + 0*x**4 + 236*x - 1/10*x**5 + 0 + 0*x**3 + 7/3*x**6. Find the first derivative of z(j) wrt j. 280*j**3 - 6*j**2 Let h(p) be the third derivative of -113/24*p**4 + 0*p - 73/60*p**5 + 74*p**2 + 0*p**3 + 0. Find the second derivative of h(o) wrt o. -146 Suppose 6*r - 4*r + 52 = -4*y, -3*r - 86 = 2*y. Let u be (3/9)/((-2)/r). Find the third derivative of -2*h**5 + 4*h**u + 17*h**2 + 3*h**5 + 8*h**2 wrt h. 300*h**2 Find the second derivative of 1100*l**2 - 545*l**2 - 14*l**4 - 72 + 6*l - 555*l**2 + 2*l**3 wrt l. -168*l**2 + 12*l Let z(p) be the third derivative of 187*p**4/24 - 133*p**3/6 + 94*p**2. Let w(m) = 93*m - 66. Let h(q) = 7*w(q) - 4*z(q). What is the derivative of h(b) wrt b? -97 Differentiate 36*r**2 + 17*r**2 - 74*r - 93*r**2 + 3 - 3*r**3 + 40*r**2 wrt r. -9*r**2 - 74 Let g(d) = -13*d**2 + 3*d + 1. Let n(i) = 2705*i**2 + 4469*i + 1. Let y(z) = g(z) - n(z). What is the second derivative of y(a) wrt a? -5436 Let o be (-5 + 2)*7/(-3) + -4. Suppose -j - o*i = -8*i - 34, 5*i = -3*j + 62. What is the derivative of j*u - 55 - 7*u + 94 - 52 wrt u? 17 Suppose 0*o + 3*p = -5*o + 62, -4*o = 5*p - 60. What is the second derivative of 3*s**5 + 0*s - 43*s**3 - s**5 - 4*s - 17 + o + 14 wrt s? 40*s**3 - 258*s Let s = -494 - -502. Let f(i) = i**3 + 4*i**2 - 6*i + 6. Let l be f(-5). Find the first derivative of 15 + s + 5*k + k + l*k wrt k. 17 Let m(o) be the second derivative of 0*o**5 + 11/30*o**6 + 0*o**3 + 2*o + 59 + 0*o**4 - 1/2*o**2. What is the first derivative of m(y) wrt y? 44*y**3 Differentiate -1127*x + 23*x + 479 + 96*x + 861 wrt x. -1008 Suppose 5*o + 22 = -2*z, o - 22 = 4*z - 0*z. Let n be (2/z + 0)*(-62 + 5). What is the second derivative of -3*s**5 - 8*s**5 + n*s + 5*s - 20*s**5 wrt s? -620*s**3 Suppose -29 - 5 = -17*n. What is the third derivative of 101 + 4*f**n + 2*f**4 - 192 + 91 wrt f? 48*f Let w(y) be the second derivative of -78*y**4 - 83*y**3 + 1279*y. What is the second derivative of w(s) wrt s? -1872 Suppose 0 = 2*z - 24. Let p(c) be the first derivative of -c + 7 - z*c - 3*c**3 - 2*c. Find the first derivative of p(f) wrt f. -18*f Let x(d) be the second derivative of 0 + 15/2*d**5 + 0*d**4 - 11/2*d**2 - 145*d + 0*d**3. What is the first derivative of x(y) wrt y? 450*y**2 Let v(g) = 2*g**3 - 17*g**2 - 78*g + 6. Let h(t) = t**2 - 2*t + 6 - 7 - 2*t**2. Let d(w) = 6*h(w) + v(w). Find the second derivative of d(k) wrt k. 12*k - 46 Let i(f) be the second derivative of 0*f**6 - 1
{ "pile_set_name": "DM Mathematics" }
)*(-6 - 5 - 1)*(64 + 41 - 39) to the form g*d**2 + w + x*d + l*d**3 and give l. -792 Rearrange 0*u - 2353 + 3*u + 2133 + u**4 - u**3 + 3*u - 7*u + 2*u**2 to the form a*u**3 + n + o*u**2 + d*u + r*u**4 and give o. 2 Rearrange 10*i**3 - 375*i**4 - i**2 + 6 - 382*i**4 + 756*i**4 + 17*i**3 + 2*i to the form c*i**3 + o + d*i**4 + t*i**2 + u*i and give c. 27 Express -28*i - 4704*i**3 + 167*i + 4693*i**3 as x*i + o + z*i**2 + q*i**3 and give q. -11 Express (-2*r + 4*r + 3*r)*(-1 - 3 + 3)*(-3 - 1 + 2)*(225*r + 70*r - 94*r) as b + a*r + n*r**2 and give n. 2010 Express -37*l**3 - 3*l**2 - 50*l**3 - 37*l**3 - 3*l**4 + 135*l**3 - 7 as b*l**4 + u*l + i*l**2 + y*l**3 + s and give b. -3 Rearrange 5378 + v + 0*v**4 - 2*v**3 + 2*v**4 - 4406 to k*v + j*v**3 + y*v**2 + i + l*v**4 and give j. -2 Express -5*u**2 + 2*u**4 - 53*u**3 + 34*u - 12*u - 12*u + 3*u**2 - 15*u in the form b + c*u**3 + v*u**2 + m*u**4 + l*u and give c. -53 Rearrange 0 - 1 - 8 - 2*o + 12*o**2 - o**4 + 63*o**3 + 15*o**2 - 25*o**2 to the form h*o + b*o**4 + y*o**3 + v + z*o**2 and give v. -9 Rearrange (-h**2 + 6*h**2 - h**2)*((3 - 7 + 19)*(-3 + 1 + 1) - 1 - 2 + 0 + (0 - 1 - 1)*(-5 - 1 + 4)) to the form o*h + v + i*h**2 and give i. -56 Express -919*o**3 + 2*o - 4*o**2 - 365 + 917*o**3 + o + 68 in the form u + s*o + y*o**3 + r*o**2 and give u. -297 Express -3*n - 3*n - 7*n + 2*n**3 + 8*n**2 + n**4 + 11*n - 6*n**4 in the form u*n + t + w*n**3 + s*n**2 + b*n**4 and give w. 2 Express -3*m - 12*m + 2*m + 66 + 44*m as c*m + y and give y. 66 Express 261*w**2 + 976*w**2 - 7*w + 0*w + 8*w as y*w + u + d*w**2 and give y. 1 Rearrange (-19*t + 6*t + 21*t)*((0*t + 2*t + 0*t)*(98*t - 48*t - 481*t) + 5*t**2 - t**2 - 2*t**2) to the form q*t + v + o*t**3 + l*t**2 and give o. -6880 Rearrange 818 - 1623 + 333*p + 799 to the form d + f*p and give f. 333 Express 213*c**3 - 144*c**3 + 9*c - 128*c**3 - 4*c - 46 - 4*c as h*c**2 + p*c + w*c**3 + f and give w. -59 Express (2470*d**2 + 10*d**4 - 2470*d**2)*(-253 + 906 - 223 + (-1 + 1 + 2)*(6 - 2 - 3)) in the form a*d**2 + n*d**3 + t*d**4 + r*d + w and give t. 4320 Express -51*q + 16*q**3 - 47*q + 142*q - q**3 - 2*q as c + k*q**3 + y*q + t*q**2 and give k. 15 Rearrange (4*x - x - x)*(-x - 4*x + 2*x)*(-346 + 381 + 131)*(4 + 4*x**2 - 3 + x + 0*x**2) to the form g*x + h*x**3 + s + d*x**4 + r*x**2 and give r. -996 Rearrange -1 + 697*s + 602*s**2 - 705*s - 604*s**2 - 284*s**4 to k*s**2 + j + g*s**3 + d*s + p*s**4 and give j. -1 Express 24*x**4 + 31*x**4 - 277*x + 1 - 5*x**3 + 23*x**4 - 77*x**4 + 293*x + 68*x**2 as k + l*x**4 + b*x**3 + i*x**2 + g*x and give i. 68 Rearrange (0*j**2 - j**2 - 3*j**2)*(-j - 1 + 1) - 2*j**3 - 3 + 3 + 2*j + 1797*j**3 - 1800*j**3 + 3*j to the form x*j**2 + w + c*j**3 + t*j and give c. -1 Rearrange (5 + 2 - 1)*(-3 + 3 - c + (-86 + 214 - 109)*(-17*c + 9*c + 3*c))*(-2 + 3 + 0) to the form b + a*c and give a. -576 Rearrange -1793*m - 4*m**2 - 14*m**4 + 69*m**4 + 1794*m + 2 + 2*m**3 to o + s*m**3 + z*m + q*m**4 + f*m**2 and give z. 1 Express 784*x**3 - 3124*x**3 + 3 - 2*x**3 - 2133*x**3 in the form h*x + g*x**2 + n*x**3 + t and give n. -4475 Rearrange 95*x - 6 + 83*x + 256*x + 223*x + 151*x to the form t*x + r and give t. 808 Rearrange -559*g**2 - 1356*g**2 + 241*g**2 to f*g**2 + j + y*g and give f. -1674 Express -168*w**2 - 28*w**3 + w + 22*w**3 + 5*w**3 in the form n + x*w**3 + o*w + m*w**2 and give m. -168 Express -1989*n + 1405*n - 2925*n - 4017*n as g + k*n and give k. -7526 Rearrange (-s - 4 + 2*s + 0*s)*(-98 - 10 - 3 + 31) to the form f + g*s and give f. 320 Express -2*v**4 + 3*v**2 - v**2 + 41073*v + 31*v**3 + 6 - 41080*v in the form o*v**3 + m*v**2 + z + a*v**4 + j*v and give o. 31 Rearrange ((-4 + 5 + 1)*(0*n + 2*n + 0*n) + 2*n - 3*n + 3*n)*(-879894 - 299*n + 879894) to the form x + h*n**2 + o*n and give h. -1794 Rearrange (-65*y + 9 + 15*y + 27*y)*(-2*y - 17*y + 0*y) to d*y + j + b*y**2 and give d. -171 Express -627 + 630 - 2*w**4 + 4*w - 44*w**3 - 2*w as q*w + y + o*w**2 + g*w**3 + u*w**4 and give y. 3 Rearrange ((-3 + 0 + 4)*(2 - 4 + 0) + 5753 - 10700 + 7910)*(1 - w - 1) to the form c + a*w and give a. -2961 Rearrange 133361*r**2 + 3*r**3 - 133376*r**2 - r**3 - 2*r**4 + 2*r - 17 to the form x*r**3 + y*r + c + t*r**4 + w*r**2 and give t. -2 Rearrange (91 - 235 - 122)*(3*k + 4*k - 5*k) + (3 - 3 - 1)*(3*k - k + 0*k) to w*k + g and give w. -534 Express (68*b + 342*b - 69*b)*(12*b**3 + 7*b**3 - 5*b**3) + 3*b**4 + 0*b**4 + b**4 in the form c*b**3 + p + n*b + t*b**2 + r*b**4 and give r. 4778 Express 3*n**3 + 2458 - n**3 + 5485 + 4171 as b*n + s*n**2 + d + l*n**3 and give d. 12114 Rearrange 12798 - 10694*s**2 - 12798 - 12057*s**2 to v*s + m + d*s**2 and give d. -22751 Express 8*v**3 + 2 + v**2 - 32*v**3 - 804865*v**4 + 3*v + 804867*v**4 in the form w + j*v**2 + b*v + o*v**3 + h*v**4 and give h. 2 Express -216*m**2 - 32*m**2 + 2*m**4 + m**4 + 245*m**2 - m - 3 as z*m**4 + k + j*m + d*m**2 + b*m**3 and give k. -3 Express 8*x - 4*x - 6*x + 32 - 2*x**2 + 9*x - 12*x as l*x**2 + o + p*x and give o. 32 Rearrange -2*l**3 - 2*l + 3379666 - 3379729 - 2*l**3 + 2*l**2 to x*l**3 + v*l**2 + i*l + f and give x. -4 Rearrange -37 - 10*z + 0*z - 2*z + 37 + 37*z**3 to the form q*z + o*z**2 + n*z**3 + s and give n. 37 Express -29*a + 73*a - 28*a - 24 - 23*a - 47 as d + x*a and give x. -7 Express -3*g**3 - g**3 + 3*g**3 + (5*g**2 + 4*g**2 + 3*g**2)*(0*g + 0*g + 2*g) + 86*g**3 - 16*g**3 + 74*g**3 as o + n*g**3 + q*g + v*g**2 and give n. 167 Rearrange ((-c + 2 - 2)*(-4*c + 4*c - 2*c) + 4 - 6*c**2 - 4)*(9*c - 3*c - 2*c)*(0 + 2 - 1)*(1 + 1 - 4) to f*c + u*c**3 + h + y*c**2 and give u. 32 Express 93*l**4 - 90*l**4 + 7795 + 2*l**3 + 927*l - 7795 in the form h*l + k*l**2 + s + n*l**3 + m*l**4 and give m. 3 Express 471 + 16*n**4 + 2*n**4 + 5*n**2 - 468 in the form w*n**4 + r*n**2 + s + k*n**3 + x*n and give s. 3 Rearrange -2 - 183222*y**2 + 2 + 183227*y**2 + 1991*y to i*y**2 + r + d*y and give i. 5 Express 2*q**3 - q**4 - 4*q**3 - 4*q + 16*q**3 - 2 + 60*q**2 - 6*q**3 + 15*q**2 in the form p*q**2 + j*q + k + r*q**3 + a*q**4 and give j. -4 Rearrange 6097*v**4 - 15217*v**4 + 25328*v**4 + (-v**2 + 3*v - 3*v)*(-v**2 + 2 - 2) to the form b*v**2 + k*v**4 + p + i*v + j*v**3 and give i. 0 Rearrange (4*v**2 - 4*v**2 + 5*v**2)*(3535 - 9143 + 1789 - 8293 - 16684) to the form o*v**2 + n*v + b and give o. -143980 Rearrange -2599*g**2 - 10720 - 10725 + 21445 to r + j*g**2 + d*g and give r. 0 Express (-1 - 3*k + 1)*(-2 + 6 - 17044*k - 26 + 20) as m*k + n*k**2 + g and give m. 6 Rearrange -v**3 - 22667 + 2*v - 2*v**3 + v**2 + 22631 to the form q*v + r*v**2 + s + t*v**3 and give q. 2 Express -2994*v + 2 + 3227*v - 7 - 10 in the form p + j*v and give p. -15 Rearrange -189*d**2 - 595*d + 481*d + 191*d**2 to z*d**2 + m + r*d and give r. -114 Express g**2 + 8 - 11 - 6*g - 2*g**3 + 4 + 6*g**3 - 3*g**3 in the form n*g**2 + b + m*g**3 + d*g and give d. -6 Express 16015*p**2 - 2916*p**2 - 15536*p**2 - 33128*p**2 as u + v*p + z*p**2 and give z. -35565 Express -11298*l**2 + 11295*l**2 + 2 + 5*l**3 - 1 + 20*l**4 - 4*l**4 as n*l**4 + m*l**3 + z*l + r + f*l**2 and give z. 0 Express -1 + 1 + 8377*f - 285*f - 3574*f as n + p*f and give p. 4518 Rearrange (x + 3*x - 6*x)*(2*x + 3*x - 4*x)*(6 - 6 - 7*x**2) - 2639*x**2 - 361*x**4 + 2639*x**2 to k*x**4 + d*x**3 + q*x + u + n*x**2 and give k. -347 Express -25 - 20 - 682784*x**2 + 3 + 682953*x**2 in the form k*x + m + t*x**2 and give m. -42 Rearrange -16*f**2 + 0*f - 31*f**2 + 2*f + 19*f**3 + 2*f**2 + 6*f**2 to the form x*f**2 + b*f + d + s*f**3 and give s. 19 Express 272 - 571*f + 571*f + 350 + 3*f**2 as o + b*f + n*f**2 and give n. 3 Rearrange -1993*v**3 + 6 - 3 - 364*v**3 + 124*v**3 - 1 to the form m + q*v**2 + h*v**3 + p*v and give p. 0 Rearrange 3961*g**2 - 693*g**2 + 1144*g**2 to the form d + k*g + s*g**2 and give s. 4412 Express 887051*k**4 - 2720*k**2 - 887050*k**4 - 1 + 4*k**3 - 4*k**3 in the form a + x*k**2 + v*k**4 + z*k**3 + g*k and give z. 0 Rearrange (1 + 2 - 2)*(27 - 87 + 282 - 3*g + 696) to the form v*g + u and give u. 918 Express (-350 - 90*x**3 + 350 + (3*x**2 + 4*x**2 - 4*x**2)*(-x - 1 + 1))*(14 + 11 + 2) in the form y*x + d*x**2 + p + o*x**3 and give o. -2511 Rearrange 1285 + 350 + m - 1636 + 467*m**2 to the form i*m + v*m**2 + h and give h. -1 R
{ "pile_set_name": "DM Mathematics" }
). -8 Let a(s) be the first derivative of -s**3/3 - 4*s**2 - 5*s + 34. Calculate a(-8). -5 Let i(c) = -c + 12*c**2 + 2*c**3 + 5*c - 7*c**2 - 3*c**3. Determine i(6). -12 Let a = 0 + 7. Let q = 3 - a. Let i(k) = k**2 + 5*k + 6. Calculate i(q). 2 Let h be 4 + (0 + 3)*-3. Let z(f) = f**3 + 6*f**2 + 5*f - 2. Determine z(h). -2 Let b(s) = -s**3 + 4*s**2 + s - 2. Suppose 10 = 2*i - 0*c + c, 0 = i + 5*c - 14. Suppose 0 = i*g - 19 + 3. Calculate b(g). 2 Let g(r) = -r**3 + 3*r**2 + 2*r + 5. Suppose 0*v + v - 4 = 0. Let z be 6 - 0 - 8/v. Suppose -5*b + 6*b = z. What is g(b)? -3 Let h(o) = -4*o - 7. Let j(p) = 3*p + 5. Let m(g) = 5*h(g) + 7*j(g). Suppose 3*b + k = 2*k + 18, 3*k - 44 = -5*b. Suppose -3*t = -b*t - 12. Give m(t). -3 Let n(m) = -m**3 + 5*m**2 - 4. Suppose -3 = -3*t - 5*x - 7, x = -5*t + 8. Suppose -t*g + 5 = -g. Suppose -2*d + g*d - 15 = 0. Give n(d). -4 Let m be 5*3/5 - -2. Let o(r) = -r**3 - r**2 - 10*r + 4. Let c(h) = h**3 + 9*h - 4. Let y(u) = 6*c(u) + 5*o(u). Determine y(m). 16 Let b(r) = -8. Let j(q) = -q + 40. Let z(f) = -11*b(f) - 2*j(f). Suppose -4*o - o - 3 = -2*p, -o = 3. Determine z(p). -4 Let v(c) = -c**2 + 6*c - 4 + 3*c**2 - c**2. Suppose 2*m = 4*d - 0*m + 22, -3*m - 12 = 3*d. What is v(d)? -9 Let x(d) = -d**3 + 2*d**2 - d + 4. Suppose -2*r + 15 = 3*r. Determine x(r). -8 Let g be 0/((5 + -4)/(-1)). Suppose 2 = -2*c - 2*t + 4, -6 = -4*c - 3*t. Let z(j) = c*j - 5*j + g*j**2 + 7*j + j**2. Determine z(-3). -6 Suppose -2*z - n + 0*n - 6 = 0, 2*z = 5*n + 6. Let q be (3*(-4 - z))/2. Let k(h) = -3*h - 2. Let p(b) = 7*b + 4. Let u(m) = -10*k(m) - 4*p(m). Determine u(q). -2 Let t(m) = -m**2 - 5*m + 2 + 2*m**2 - 2*m. Suppose 8*n - 7*n = 0. Suppose 7*x - x - 24 = n. Calculate t(x). -10 Suppose -4*v - 2*b - 1 + 9 = 0, 0 = v + 3*b - 2. Suppose 0 = -v*c + c + 1. Let o(f) = -15*f + 9. Let u(w) = w - 1. Let g(t) = -o(t) - 9*u(t). Calculate g(c). 6 Let i(z) = -2*z - z**2 + z**2 + 2*z**2 - 2. Let v be (-5 + 6)/(2/4). Determine i(v). 2 Suppose -16 = -2*x - 4. Suppose -x = 5*w - 6*w. Let s(q) = q**3 - 6*q**2 + 6. What is s(w)? 6 Suppose 4*c - 4 = -36. Let q(k) = -k**3 - 8*k**2 - k - 11. Let r be q(c). Let h(z) = 0*z - 4 - 8*z + 3*z. What is h(r)? 11 Let b be 1/(-3) - 10/(-3). Let n(q) = -5*q + b*q + 0 - 3 - 5*q. Give n(-2). 11 Let d(t) = t**3 + t**2 + t - 10. Let r be ((-6)/(1/(-1)))/(-1). Suppose -3*s - s = 8. Let o be 4/r + s/(-3). What is d(o)? -10 Let j(n) = -n - 10. Let v = -4 - -17. Let d be (-3)/2*12*1. Let s = v + d. Determine j(s). -5 Let i(u) = 4*u - 2*u - 2*u + u - 4*u**2 + 1. Determine i(2). -13 Let w(a) = -a**3 - 5*a**2 - 4*a - 6. Suppose -3*j - 32 = -20. What is w(j)? -6 Let y(r) = -16*r**2 + 7*r + 10. Suppose 4*l + 40 = 12. Let v(n) = 11*n**2 - 5*n - 7. Let p(f) = l*v(f) - 5*y(f). Calculate p(-1). 2 Let g(z) = -z + 19. Let i(u) = -2*u + 39. Let o(n) = -13*g(n) + 6*i(n). Give o(0). -13 Let q(w) = 6 + 8*w**2 - w**2 + w**2 + 7*w - 7*w**2. Give q(-7). 6 Let s(p) = 3*p - p**3 + 3*p**2 - 3 + 0 + 0. Let j = -8 + 12. Give s(j). -7 Suppose 4*l + 8 = -8. Let o(t) = -6*t + 1. Let p(h) = h. Let m(a) = -o(a) - 5*p(a). What is m(l)? -5 Let r be (0 - -14)*6/7. Let h be 8/r - (-4)/(-6). Let t(m) = 4*m**2 + h*m**3 + m**3 - 4*m + 2*m - 5. Calculate t(-4). 3 Let x(m) = 5*m - 5*m + 2*m + 3 + 0*m + m**3. What is x(-2)? -9 Let i(x) = x**2 - 4*x - 8. Let l be i(6). Let b(c) = 2*c**2 - 9*c + 6. Let q be b(l). Let r(s) = 4*s - 3. What is r(q)? 5 Let t(o) = o**2 + 5*o. Let c be -2 - (-9)/3 - 3. Let z be (-1)/c*(-10)/1. Calculate t(z). 0 Suppose x - 5*c = 4*x - 32, 0 = 5*x - 5*c. Let j(r) = 2 - r - 2*r + 0*r + x*r. Give j(6). 8 Suppose -3*n = -7*n + i + 6, 0 = -4*i - 8. Suppose -5*d - n = -3*w + 17, 4*w - 24 = 4*d. Let p(v) = 2*v - 3. What is p(w)? 9 Let l(n) = n**3 + 5*n**2 + 4*n + 3. Let w be (-4)/((2 + 0)*-1). Suppose 4*u - w*g + 10 = 0, -3*u - g + 5 = 15. Calculate l(u). 9 Let q(p) = -p**3 - 6*p**2 + 2*p + 2. Suppose -3*k + 2*y = 28, -5 = -5*y + 20. What is q(k)? -10 Let f be (-8)/(-10) + 8 + (-345)/25. Let g(x) = -2*x - 4. Give g(f). 6 Let s(l) be the first derivative of 1 + 0*l + l**3 - 1/120*l**5 + 0*l**2 + 0*l**4. Let f(c) be the third derivative of s(c). Give f(5). -5 Let r(u) = -u**3 + 5*u**2 - u + 7. Let y be r(5). Suppose -4*g + y = -3*g. Let n(f) = g + 2*f + 2*f - 3*f. Calculate n(-5). -3 Let n(f) = -f**3 + 10*f**2 - 8*f - 9. Let t be n(9). Let i(y) = y**2 + 2. What is i(t)? 2 Let n(b) = -10*b - 5. Suppose -2*j + 16 = -j - 4*u, 0 = j + 5*u + 29. Let c(v) = -5*v - 3. Let t(k) = j*n(k) + 7*c(k). What is t(1)? 4 Let o(y) = 5*y - 1. Let s(f) = f. Let i(n) = -2*o(n) + 18*s(n). Determine i(2). 18 Let t be (1 + 0)/((-3)/9). Let o = 6 + t. Let x(l) = 2*l**3 - 15*l**2 - 1. Let h(p) = p**3 - 8*p**2 - 1. Let i(y) = 7*h(y) - 4*x(y). What is i(o)? 6 Let h(q) = q**2 - 3*q + 1. Suppose m - 10 = -2*k, -3 = k - 2*m + 2. Let c be h(k). Let g(z) = -5*z - c + 0*z + 2*z - 5*z. What is g(-1)? 7 Let v(a) = 7 + a**3 + 10*a**2 + 2 - 2*a**3 - 2 - a. What is v(10)? -3 Let u(w) = w**2 - 26*w**3 + 3 + 21*w**3 - 4. Calculate u(-1). 5 Suppose 29 = 3*o + 5*n, o = n - 0*n - 1. Let w(k) be the third derivative of -k**5/60 + k**3/3 + 9*k**2. What is w(o)? -7 Let n(s) = -7*s - 3*s**2 + 4*s**2 - 5 + 14 - 2. Let w = 11 - 6. Calculate n(w). -3 Let y(p) = -6*p + 5. Let o be y(2). Let g(c) = 2*c + 2. Determine g(o). -12 Let o(m) = -2*m - 3. Let n = -50 - -34. Let q be n/4*(2 - 1). Give o(q). 5 Suppose u = 4*w - 5, -3*w - 3*u - 1 = -w. Let z(n) be the first derivative of n**2/2 - 2. Let h(x) = x + 1. Let c(o) = w*z(o) - 2*h(o). What is c(-4)? 2 Suppose 1 = 2*y - 3. Let p(m) be the second derivative of 0 + m + 4/3*m**3 + 7/2*m**y + 1/12*m**4. Calculate p(-5). -8 Suppose -m = 4*b - 13, -4*m = 4*b - 7*m + 7. Let g be ((-4)/5)/(6/(-15)). Let n(q) = 4*q**g + 5 - 6*q**b - 4*q**2 + q - q**3. Calculate n(-6). -1 Suppose 0 = -4*a + 18 + 2. Suppose -a*w - 7 = -2*w + q, 0 = 4*w + 3*q + 16. Let r(c) = 5*c**2 + 1. Determine r(w). 6 Let a(i) = 85 - 156 + 2*i + 85. Determine a(-11). -8 Let k(y) = y**2 - y - 1. Suppose -16*f + 12*f = -16. Give k(f). 11 Let h(d) = -d - 4. Let i be -8*(15/(-6) - -2). Let x(f) = -f - 4. Let m(a) = i*h(a) - 6*x(a). What is m(-7)? -6 Let p(o) = 2*o + 1. Suppose 0 = 2*q + 2*q. Suppose 3 = -2*s + 23. Suppose q = 2*g + 3*g + s. Give p(g). -3 Let k(t) = 2*t - t + 3 - 4*t. Let r = 8 - 14. Let p = r - -8. Give k(p). -3 Let z = -190 + 184. Let g(c) be the first derivative of c**2/2 + 5*c - 1. Calculate g(z). -1 Let c(m) be the second derivative of -m**4/12 + 2*m**3/3 - 3*m**2/2 - 10*m. Suppose 8 = -2*q + 6*q. Let h be c(q). Let l(v) = -6*v**2 + v - 1. What is l(h)? -6 Let r(f) be the third derivative of 1/8*f**4 + f**2 + 0 - 1/6*f**3 + 0*f. Let h be 2*14/(-20) - (-6)/15. Calculate r(h). -4 Let u(x) = 19 - x**2 - 9 - 6. Determine u(0). 4 Let k(m) be the first derivative of m**4/4 - m**2/2 + 11*m - 76. Give k(0). 11 Let y(c) = -c**3 - c**2 + c + 1. Let f(k) = 6*k**2 + 8*k + 10. Let j(x) = f(x) - y(x). What is j(-6)? 3 Let b(v) = v - 2. Suppose 31*o - 18 = 28*o. Give b(o). 4 Suppose -b = -3*b. Suppose b*g + 2*g = 10, 3*l + 4*g - 38 = 0. Let m = l + -11. Let w(p) = p**3 + 5*p**2 + p + 3. Determine w(m). -2 Suppose 0 = -f + 2*y - 5, 0 = 4*f + y + 4 + 7. Let k(r) = -7*r + 5. Let n(x) = -x + 1. Let a(w) = -k(w) + 6*n(w). Calculate a(f). -2 Let u(k) = -k**3 - 3*k**2 + 2*k + 2. Suppose 10*w + w + 33 = 0. Determine u(w). -4 Let r(t) = t**2 + 4*t - 4. Let o(z) = z - 20. Let y = -11 + 27. Let b be o(y). Determine r(b). -4 Let c(m) = 4*m + 4. Let j(o) = -5*o - 3. Let b(v) = -4*c(v) - 5*j(v). Give b(3). 26 Let y(x) be the second derivative of -x**4/2 + x**3/3 + x**2/2 - 19*x. Give y(-1). -7 Let q(d) be the second derivative of -d**4/12 - 2*d**3/3 - d**2 + 8*d. Let l = 2 - 5. Calculate q(l). 1 Let z(q) be the first derivative of -5*q**4/4 + q**2/2 - 12. Determine z(1). -4 Let o(v) = -2 - v**2 + 0 - 4*v**3 + v + 3*v**3. Let w(k) = -2*k**3 - k**2 - 3 + 3 + 1. Let r be w(1). Give o(r). 0 Let q(g) = 3*g**2 + 3*g + 1. Let y(z) = z - 2. Let b be y(0). Let i be (-1 + 1)*(-2)/(-4). Let t = i + b. Give q(t). 7 Let a(w) be the first derivative of w**3/3 + 7*w**2/2 - 9*w - 14. What is a(-7)? -9 Suppose -23 - 1 = -m. Suppose 0 = g + 2, g - 5*g - m = 4*r. Let w(i) = i**2 + 3*i - 3. What is w(r)? 1 Let g =
{ "pile_set_name": "DM Mathematics" }
2 Let u be (9*(0 - -6))/(3 + -1). Suppose -3*b + 4*h = -u, -3*b + 9 + 18 = -h. Calculate the highest common divisor of 45 and b. 9 Suppose 51 = -2*i + 69. Suppose 5*d = 5*t, -4*t + 2*t - d = -i. Calculate the highest common factor of 33 and t. 3 Let t = -2580 + 2583. What is the highest common factor of 24 and t? 3 Let y(f) = -f**2 - 17*f - 11. Let m be y(-15). Calculate the highest common divisor of m and 1. 1 Let u be 0 - 1/((-2)/884). Calculate the highest common divisor of 26 and u. 26 Suppose 12*s - 19 = 41. Suppose s*r + 144 = d + 2*d, -3*r + 240 = 5*d. What is the greatest common factor of d and 32? 16 Suppose -55 = -2*z + 107. Let g = 286 + -277. Calculate the highest common divisor of g and z. 9 Let x = -2794 + 5955. Calculate the highest common factor of 29 and x. 29 Let r(m) = m**3 - 7*m**2 - 5*m + 9. Let f be r(9). What is the greatest common divisor of f and 98? 14 Let o(z) = 3*z + 32. Let i(h) = -4*h**2 - 3*h + 1. Let j be i(1). Let c be o(j). What is the highest common divisor of 2 and c? 2 Let t(z) = z**3 - 3*z**2 - 5*z + 3. Suppose -6*r + 0*r - 66 = 0. Let w = r + 16. Let u be t(w). Calculate the highest common divisor of 70 and u. 14 Let i be (7/(-3) + -1)*6. Let k be i/(-2) - (-5 - -2). Suppose 2*f + 25 - 155 = 0. Calculate the highest common factor of f and k. 13 Suppose 8*u + 2*u = 80. Let b = -64 - -119. Suppose b + 17 = p. What is the greatest common divisor of p and u? 8 Suppose -j = 3*n - 22, 3*n - j - 16 = 4*j. Let g(o) = o**2 - 16. Let x be g(n). Suppose 3*p - x = -0*p. What is the highest common divisor of p and 77? 11 Let h(w) = -2*w**3 + 49*w**2 + 52*w - 55. Let m be h(25). Calculate the greatest common divisor of m and 496. 124 Let a = -198 + 252. Let g = -109 + 244. What is the highest common factor of a and g? 27 Suppose 0 = -2*x + o + 152, -54 - 25 = -x - o. Calculate the highest common factor of x and 209. 11 Let j(p) = p**3 - 2*p**2 - 5*p - 6. Let l be j(5). Calculate the greatest common divisor of 1 and l. 1 Suppose -5*p - 44 = -9*p. Let i be (-104)/234*(1 + 11/(-2)). What is the highest common factor of p and i? 1 Let i be (-1)/(2/(-4)) + -1. Suppose 0 = -4*m + 3 - 7. Let h be (-3 - (m + 1)) + 4. Calculate the greatest common divisor of h and i. 1 Let j = 4004 + -2423. Calculate the greatest common divisor of 153 and j. 51 Let c = 335 - 327. Calculate the greatest common divisor of c and 40. 8 Let v = 52 + -49. Let n be 7/42 - (-1)/(-6). Let o = n - -3. What is the greatest common factor of o and v? 3 Let p be (-1 + 2)*(-7 + 92)/5. Calculate the greatest common factor of 17 and p. 17 Let g(d) = 283*d - 506. Let k be g(3). What is the highest common factor of 7 and k? 7 Suppose 0 = 5*u + 2 - 42. Calculate the highest common factor of 56 and u. 8 Let k = 3 - -2. Let h(v) = 4*v + 6. Let y be h(2). Let u be k/(5/y) + -4. What is the highest common divisor of 20 and u? 10 Suppose -3*p - 486 = -5*p. Let u = p - 139. What is the highest common divisor of u and 13? 13 Let n be ((-28)/(-12))/((-14)/(-252)). What is the greatest common factor of 483 and n? 21 Suppose 4*a - 2 = -3*u, 0 = 4*u - 5*u - 5*a - 14. Let r = 12 + -10. Suppose -2*y + 4 = r*y + 4*f, -8 = 2*y + 4*f. What is the highest common divisor of u and y? 6 Let i be (-7*152/(-665))/((-4)/(-10)). What is the greatest common factor of i and 652? 4 Let x be 1148/(-21)*6/(-8). What is the highest common factor of 656 and x? 41 Let c(t) = 4*t - 10. Let y be c(4). Suppose 14 - 6 = 2*d, -1 = n - 4*d. What is the greatest common divisor of n and y? 3 Let z(u) = -u**2 - 7*u + 7. Let f be z(-9). Let k = -8 - f. Calculate the highest common divisor of 12 and k. 3 Let x(r) = r**3 - 12*r**2 - 8*r + 19. Let a be x(13). Calculate the greatest common divisor of 108 and a. 12 Let c be (-4)/(-5)*155/2. Suppose u - l = 9, -5*u + 4*l + c = 20. Calculate the greatest common factor of 48 and u. 6 Let y be (-20)/50 - 3*496/30. Let w = 96 + y. What is the highest common divisor of 69 and w? 23 Let t(n) = -n**3 + 15*n**2 - 51*n + 35. Let x be t(10). Calculate the highest common divisor of 1 and x. 1 Let v(w) = 6*w**2 - 40*w - 2. Let i be v(7). Calculate the highest common divisor of i and 39. 3 Suppose o = 2 - 1, 5*t - 5*o - 90 = 0. What is the highest common divisor of t and 627? 19 Suppose 4*m = 4, 726 = 2*c + 2*c - 2*m. Calculate the greatest common divisor of 39 and c. 13 Let n(l) = l**2 - 10*l + 6. Let z be n(12). What is the greatest common divisor of 78 and z? 6 Let z be (27/6)/((-1)/(-2)). Suppose 0 = c - z + 3. What is the highest common divisor of 6 and c? 6 Let k be 9/(77/66 - 1/(-3)). Calculate the highest common factor of k and 3. 3 Let q = 6 + 5. Suppose -3*h + 8 = 5*p - 4*h, 0 = 3*p - 5*h - 18. Let d = q - p. What is the greatest common divisor of 10 and d? 10 Let d = 9 - -24. Let g = d - 24. Calculate the highest common factor of 9 and g. 9 Let l be (-1*(-3)/(-2))/(33/(-176)). Let q be 150/(-9)*(-6)/45*9. Calculate the greatest common factor of q and l. 4 Let a = 338 - 206. What is the greatest common factor of 187 and a? 11 Let t = 24 - 16. Suppose 135 = t*u - 3*u. Suppose l + 2 = u. What is the highest common divisor of l and 275? 25 Let h = 1561 - 1534. Calculate the highest common factor of h and 27. 27 Let l = -2023 + 2278. Calculate the greatest common divisor of l and 45. 15 Let k = 739 - 693. Let o(c) = 5*c**2 - c + 5. Let m be o(5). Suppose r = 2*t + m, -5*r + 544 + 11 = 4*t. What is the greatest common divisor of k and r? 23 Let r(n) = -3*n + 2 - n + 8*n**2 - 7*n**2. Let c be r(4). Suppose 5*d - 1 - 4 = 0, -c*d - 58 = -4*z. Calculate the highest common divisor of z and 10. 5 Let x(h) = 38*h - 339. Let g be x(11). Calculate the highest common divisor of g and 79. 79 Let r(q) = 250*q**3 + q + 1. Let z be r(1). Calculate the greatest common factor of z and 280. 28 Let r be 6320/400 + (-1)/(-5). Suppose 640 = 7*j - 2*j. Calculate the greatest common factor of r and j. 16 Suppose -14*c + 1619 - 611 = 0. What is the highest common factor of c and 180? 36 Let i = 104 - -61. What is the greatest common divisor of 15 and i? 15 Let j = 20 + 21. Suppose 292*z = 260*z + 9184. What is the greatest common factor of z and j? 41 Let j(w) = -5*w**2 + 2*w - 20*w**3 + 6 + 19*w**3 + w + 15*w**2. Suppose 2*h - 25 = -5. Let m be j(h). Calculate the highest common divisor of 4 and m. 4 Suppose 9 + 7 = -4*x. Let i = 8 + x. Suppose 107 + 1 = 4*o + i*r, -2*r = -4. Calculate the highest common factor of o and 25. 25 Let f(q) = -q**2 + 3*q + 68. Let i be f(0). What is the greatest common factor of i and 34? 34 Let z = 542 - 530. What is the highest common divisor of 384 and z? 12 Suppose 2*w + 5*c = w - 7, -15 = 5*c. Suppose 0 = -4*g + 180 + w. Let p = -34 + g. What is the greatest common factor of p and 13? 13 Let p(m) = 2*m**2 + 2*m - 11. Let l be p(3). Let n = l - -41. Calculate the greatest common divisor of 6 and n. 6 Suppose -111*i + 125*i - 1750 = 0. What is the greatest common factor of 10 and i? 5 Let c(w) = 5*w - 10. Let f be c(3). Suppose 25 = 5*y - 3*m, -4*y + f*m + 3 = -4. What is the highest common factor of y and 2? 2 Let s = -75 - -149. Suppose 0 = -2*h + 3*x + x - 76, -3*h + x - 94 = 0. Let v = s - h. Calculate the greatest common factor of v and 13. 13 Suppose 1166 = 17*o + 180. Let z be (0 + (-2)/(-2))*(o - -6). Calculate the greatest common factor of 4 and z. 4 Suppose 0 = -90*l + 91*l - 4. Let r = l + -2. Let g = 6 - 3. What is the highest common factor of g and r? 1 Suppose -97*x + 8750 = -6382. Calculate the greatest common factor of x and 195. 39 Let l = -6251 + 6282. Suppose 0 = 5*m + 2*h - 1075, 2*m + 5*h - 518 = -109. What is the greatest common divisor of l and m? 31 Suppose -3*h = 5*h + 392. Let t = h + 58. Calculate the greatest common divisor of t and 1. 1 Suppose -j = -3*n + 11, 37 = 6*n - n + 3*j. What is the highest common divisor of 5 and n? 5 Suppose -10*m - 3 = -11*m. Suppose -2*z + m*z = 27. What is the greatest common factor of z and 18? 9 Let r = -70 + 70. Suppose 0 = -3*g + 3*c + 94 + 185, g - 2*c - 98 = r. Calculate the greatest common factor of 22 and g. 22 Let i(a) = a**2 - a + 2. Let m be (6 + (-140)/21)/(2/(-12)). Let g be i(m). What is the highest common divisor of 154 and g? 14 Let z(x) = -2*x - 12. Let f = 1 - -3. Suppose -f*j
{ "pile_set_name": "DM Mathematics" }
olve -5*z - r = -5 + 1, -5*z + 3*r = 12 for z. 0 Solve -4*h = 4*b - 36, 4*h - 3*b = -0*h + 8 for h. 5 Solve -5*u + 4*p = -34 + 6, 4*u - 4*p = 24 for u. 4 Solve -v = -3*w - 12, w = 88*v - 89*v for w. -3 Solve -4*h = -2*h + 2*t, -h + t = -4 for h. 2 Solve -4*x = c - 14, 2*x + 4*c + 2 = -c for x. 4 Solve -31*n = -30*n - 3, -r = 3*n - 4 for r. -5 Solve 4*a - 2*a - 10 = -2*h, -2*a + 7 = -h for a. 4 Solve 2 + 8 = q - 5*a, 0 = -5*q - 4*a - 8 for q. 0 Solve -4*v - 4 = 5*c + 3, -c - 3*v - 8 = 0 for c. 1 Solve -d = 2*y - 9, -5*y = 2*d - 164 + 142 for y. 4 Solve -c - 328*p = -325*p + 14, -3*c + 2*p + 13 = 0 for c. 1 Solve 0 = 3*b + 4*u - 26, -3*b + 2*u - 2 = 2 for b. 2 Solve 5*j - 9 = -2*g, 5*j = -6*g + g for j. 3 Solve 134 = 5*m - 2*g + 137, -2 = -m + 3*g for m. -1 Solve -2*h - 18 = 2*u - 6*u, 0 = -3*u - h + 16 for u. 5 Solve -a - 5 = -3*w + 1, 4 = 2*w - 2*a for w. 2 Solve j - 2*y - 3 = 0, -2*y = -j + 3*y for j. 5 Solve 1 = -3*q + 4*s, -2*q + 138 = s + 146 for q. -3 Solve -s = -5*s + 4, 4*s = 3*m + 10 for m. -2 Solve -3*f + 5*c = -6*f - 12, 4*f = -6*c - 14 for f. 1 Solve 16 = 4*k + 5*v - 1, -4*k = 2*v - 2 for k. -2 Solve -5*i = 3*g - 19, -5*g = -3*g - 5*i + 4 for g. 3 Solve -4*w - 8 = 4*x, 7*w + 26 = 5*x + 3*w for x. 2 Solve l - 8 = 5*s, -l - 3*s = -4*l + 12 for l. 3 Solve a - 4 = -a, 5 = s + 4*a for s. -3 Solve 4 - 3 = -t + 2*y, -2*y = 5*t - 19 for t. 3 Solve 0 = -4*j - 5*l + 13, 6*j - 10 = 3*j - 4*l for j. 2 Solve b - 4*d + 10 = 0, 4*b + 16 = 6*d - 2*d for b. -2 Solve 0*x - 6 = 4*m - 2*x, -m - 3 = x for m. -2 Solve 5*t = 4*g - 6 - 2, -8 = -2*t - 4*g for t. 0 Solve 3*g - 4 - 6 = -p, -5*g + 25 = 0 for p. -5 Solve -3*v + 13 = 4*q - 6*q, -q - 5*v + 26 = 0 for q. 1 Solve 16 = 4*f + 4*o, -239*f - 3*o + 15 = -235*f for f. 3 Solve -k - 4*k - 20 = 0, -3*y = 4*k + 19 for y. -1 Solve -2*j = -5*r - 13, -22 + 23 = j + 3*r for j. 4 Solve 5*p + 2*w - 28 + 8 = 0, -4 = -p + 5*w for p. 4 Solve -k + 1 = -5*w, -3 + 7 = -4*w for k. -4 Solve 4*d - 16 = 0, 2*y = 5*d - 3*d for y. 4 Solve 5*a + 3*s = 2*s - 15, 5*a = 3*s - 35 for a. -4 Solve 0 = -n - n + x - 5, 0 = 4*n - 3*x + 13 for n. -1 Solve -3*y = -4*f - 5, 3*y + 2*f + 0 - 11 = 0 for y. 3 Solve -3*f + 2*a - 2 = 0, 2*f = -3*f + a + 6 for f. 2 Solve -3*b = a - 13, 0*b = -a + 4*b - 15 for a. 1 Solve z = -4*n + 14, -7*z + 5*z + 4*n = 8 for z. 2 Solve 0 = j - 4*o - 9, 5*j + 7 = -5*o - 23 for j. -3 Solve 3*m - 7*m = -4*o - 36, 5*o = 3*m - 35 for o. -4 Solve 0 = -2*l - 5*h, -6*l + 5*l + h - 7 = 0 for l. -5 Solve 2*r = -2*i + 10, 0 = -8*i + 7*i + 5*r - 19 for i. 1 Solve 2*w + 2*w - 5*b - 41 = 0, -4*b = 4*w + 4 for w. 4 Solve 0 = -3*i - z + 2, 12*z - 8 = -2*i + 10*z for i. -1 Solve -4*y + 4 = 0, 4*a = -5*y + 3 - 2 for a. -1 Solve -o = -2*r - 3, 11*r = 12*r + o - 6 for r. 1 Solve 5*d - 5 = -i, 2*d + 0*i + 21 = -5*i for d. 2 Solve -3*n - 3*k = -9, 2*n + 6*k - 12 = k for n. 1 Solve -5*m + 6 = -5*o + 41, 0 = -m + 5*o - 23 for m. -3 Solve 0 = -5*i - 5*q + 7*q, -3*i + 3*q = 0 for i. 0 Solve 5*y + 2*t + 13 = -5, y - 5*t = 18 for y. -2 Solve 4*d = -2*m + 26, -d + 18 = 4*m + 1 for d. 5 Solve -3 = -3*v + b, b = v - 3*b + 10 for v. 2 Solve 3*k - 2 = -10*o + 12*o, -2*o = k + 10 for k. -2 Solve 5*o + 16 = 3*w, 4*w - 3 - 13 = 4*o for o. -2 Solve 3*o + 5 = -o + 5*p, -2*o + p + 5 = 0 for o. 5 Solve -4*g - 3*o = 2, 2*o - 15 = -19 for g. 1 Solve -3*h - 3*y = -7*h, 26 = -2*h - 5*y for h. -3 Solve -4*z + 15 = w + 4, 3*z = -3*w + 15 for w. 3 Solve -f - 2*o + 10 = 0, 5*f + 2*o + o = 15 for f. 0 Solve 5*c + 24 = c + 3*s, 4*c + 8 = -s for c. -3 Solve -2*i - 3*r = -16, -2*r = 37 - 45 for i. 2 Solve 0 = -4*d + 20, 0 = -4*l - l - 4*d + 10 for l. -2 Solve -4*d + 6*d = 2*u - 8, d = 5*u for u. -1 Solve -3*x = -10 - 5, 23 = 2*f + 5*x for f. -1 Solve 4*h - 16 = 2*j, 0 = -3*h - 4*j - j + 12 for h. 4 Solve 0 = 3*o - 2*z + 9, -5*o - 963 + 962 = -z for o. 1 Solve u + 3*u + 19 = -z, 0 = -3*u + 4*z for u. -4 Solve -38*n = -35*n + 3*s - 15, n + 2*s = 7 for n. 3 Solve 5*o + 23 = 3*p + 2, 0 = -4*p - 2*o + 2 for p. 2 Solve -c + 11 = -5*l, c - 5 = 3*l - l for c. 1 Solve 4*d + 56*q - 55*q - 11 = 0, -5*d = -q - 7 for d. 2 Solve 0 = 3*g - 5*l - 1 - 12, -2*g + 6 = -2*l for g. 1 Solve -4*u - 10 = u, 4*u = -3*j - 20 for j. -4 Solve -5 = n - d, -3*n + 5*d - 26 = -3 for n. -1 Solve 2*z - 3*q = -17, -3*z - 2*z = 3*q + 11 for z. -4 Solve -5*f + 5*u = -30, -6*f - 5*u - 22 = -7*f for f. 2 Solve -5*p - 2*z = -10, -13 = -5*p - 5*z - 3 for p. 2 Solve -d - 9 = 11*y - 14*y, -5*y + 15 = 0 for d. 0 Solve 0 = 2*q - 4*j + 2, 275 = 2*q - j + 280 for q. -3 Solve -5*y = -3*p + 11, -3*y - 2*p + 16 - 34 = 0 for y. -4 Solve -2*p - 4*g - 22 = 0, 4*g + 3 = -p - 16 for p. -3 Solve -4*y - 4*v + 5 = -7, 0 = 2*y + 5*v for y. 5 Solve -4*v = 4*n + 20, 4*n + 0*v + 11 = 5*v for n. -4 Solve -2*g - 3*z = 2*z + 31, -5*z = -4*g - 17 for g. -8 Solve -2*y - 18 = -5*l, 2*y - 5*y - 5 = -2*l for l. 4 Solve f + 2*k + 3 = -3, 0 = -3*f - 2*k - 2 for f. 2 Solve 1 = -d - 2*i, 3*d - 4*i - 1 = 6 for d. 1 Solve -4*p = 4*w + 4, -12*p + 7*p = -2*w - 2 for w. -1 Solve 2 = -2*d + 2*z, z + z - 9 = -5*d for d. 1 Solve g + 3*g - 8 = 0, -5*y + 12 = g for y. 2 Solve -39 = 3*s - s + 7*x, 4*s - 2 = 2*x for s. -2 Solve -6*h = -5*v - 7*h + 14, -4*v - h = -11 for v. 3 Solve -5*d - 3*p = 19 + 15, 0 = -4*d + 4*p - 8 for d. -5 Solve 22 - 27 = -3*v + 2*p, 2*v + 4*p = -2 for v. 1 Solve -8 = 5*n + 2, -2*n = -2*o - 4 for o. -4 Solve 4*n = -3*c - 1 + 9, 2 = 5*c + n for c. 0 Solve -3*w - 17 = -4*i, 8 - 40 = 4*i + 4*w for i. -1 Solve 0 = -4*c - 2*v - 6, 0 = 83*v - 79*v + 12 for c. 0 Solve -4*d + 8 = m, 6*d = 4*d + 2*m + 4 for d. 2 Solve 5*n + 25 = -7*j, 6*j = -5*n + 4*j for n. 2 Solve 3*o - 4 = o, 2*o + 1 = 5*l for l. 1 Solve 36*f - w = 34*f - 13, 0 = -4*w + 12 for f. -5 Solve -4*p + 5*r + 13 = 0, 3*p - 16*r = -14*r + 1 for p. -3 Solve 0 = t + 4*u + 5, -5*t + 4*t = -u - 5 for t. 3 Solve -3*h + 30 = 2*h + 3*g, 4*h = -3*g + 27 for h. 3 Solve 20 = 2*r - 59*v + 61*v, -4*r + 5 = -3*v for r. 5 Solve -5*x - w - 1 = 13, -4*w = -5*x + 6 for x. -2 Solve 2*t - 2*z - 2 = 0, 2*z = -5*t - 3 + 8 for t. 1 Solve 12 = -i + 3*q, 5*i - q + 2 = -2 for i. 0 Solve 0 + 5 = -c, 11 = u - 2*c for u. 1 Solve -3*a - 5*f + 4*f = 8, 4*a + 4*f = -8 for a. -3 Solve 3*l + 2*l = -5, -w = 5*l for w. 5 Solve -35 = 5*z + 35*m - 40*m, 4*z = -4*m + 4 for z. -3 Solve 2*r = t - 10, 21 + 2 = 3*t - 5*r for t. -4 Solve -4*j + r = 79 - 75, 5*j = -5*r - 30 for j. -2 Solve 0 = 4*u + 3*w - 9 - 2, 4*w = -u + 6 for u. 2 Solve -z + 0*z + 3*u = 11, 4*z + 18 = -u for z. -5 Solve 0 = 3*p + o + 4, 70*o - 72*o = p + 3 for p. -1 Solve -4 + 9 = -5*a + 4*j, 3*a = 3*j for a. -5 Solve 0 = -3*w + 3*g - 15, 2*w = 7*w + 3*g - 7 for w. -1 Solve -5*w + 20 = -5*a, -w + 3*a = 4*w - 14 for w. 1 Solve f + f + 3*t = -6, -5 = -3*f - t for f. 3 Solve 3*i = -b + 2*i + 6, b = -3*i + 14 for b. 2 Solve 3*w = -j + 6, -5*w + 18 = j - 2*j for j. -3 Solve 5*l - r + 12 = 7, r = 0 for l. -1 Solve -2*n + 5*x + 5 = -9, -2*n - 5*x = 6 for n. 2 Solve -31 = 3*s + 3*m - 13, -2*s + 2*m - 4 = 0 for s. -4 Solve 3*i - 7*i - 14 = 3*m, -2*m + 4*i + 24 = 0 for m. 2 Solve 0 = -2*r + 10, 9*r - 25 = 3*y + 7*r for y. -5 Solve -29*c + 31*c = 2, n = 3*c for n. 3 Solve 2*q = -2, c - q + 8 = 11 for c. 2 Solve 0 = 2*b + 5*i - 8, 103*b - 107*b + 2*i - 8 = 0 for b. -1 Solve 4*x = 2*r + 20, -8*r + 13*r - 2*x + 26 = 0 for r. -4 Solve -8*h - 16 = -11*h - 2*x, -4*h + 4*x - 12 = 0 for h. 2 Solve -20 + 0 = -5*c - 5*z, 0 = 4*c + z - 1 for c. -1 Solve 2*g = -2*t - 2*t + 14, -4*g - 5*t + 19 = 0 for g. 1 Solve -2*t + 4*a = -6*t - 20, 0 = 5*t + a + 25 for t. -5 Solve -3*b = 2*b - 4*c - 15, 2*c + 6 = 2*b for b. 3 Solve 5*q - 4 = -f, -4*f - 2 = -q - 18 for q. 0 Solve 5*j + 4*o = 0, -5 = -0*o - o for j. -4 Solve -l + 4 = -5*m - 9, 3*m = -l - 11 for m. -3 Solve -5*q + 8*q + 3*n + 3 = 0, -4*q + n + 6 = 0 for q. 1 Solve -4 = 2*f, -5*f - 5 = -j - 0*f for j. -5 Solve -3*r = -3*x - 18, -3*x = -4*x + 2*r - 10 for x. -2 Solve -5 = -5*j - 5*d, -2*j = d + 3*d - 10 for j. -3 Solve -x - 2*w = -7, -w = 7 - 9 for x. 3 Solve 0 = 5*p + 5*f - 10, f + 13 = -9*p + 13*p for p. 3 Solve -7*k + 3*k = -5*x + 20, -x = 3*k + 15 for k. -5 Solve 4*k - 20 = 0, -6 = 2*y - 5*k + 13 for y. 3 Solve -7 = 4*w + 5, 0 = 5*t + 5*w for t. 3 Solve -12 = -3*f - 0*f, 3*w + 3*f - 9 = 0 for w. -1 Solve -3*q
{ "pile_set_name": "DM Mathematics" }
, 324, a in ascending order. -1, a, 324 Let n(t) = -t + 12. Let a be n(7). Suppose -1 = -3*f - 4*d + 5, 0 = a*d + 15. Let k = 79 - 84. Put 0, k, f in increasing order. k, 0, f Suppose -y + 7 = 2*q, -182*q - 8 = 4*y - 183*q. Sort -7, 15, 10, y, 2. -7, y, 2, 10, 15 Suppose 59 = 16*c + 11. Suppose 0 = -0*r - 3*r - q + c, q + 7 = 2*r. Sort r, 1, 85 in descending order. 85, r, 1 Let v = 4.96 + 0.04. Let w be (-8)/((-48)/1357) + -2. Let z = w - 224. Put 2/23, z, v in decreasing order. v, z, 2/23 Suppose -4*m + 3 = -1. Let l(h) = -h**3 - h**2 + 262*h + 5. Let u be l(0). Sort u, m, -1, 0 in descending order. u, m, 0, -1 Let z = -0.894 + 5.894. Let c = -1.6 + -0.4. Let g = c - -2.3. Sort g, 1, -2, z in ascending order. -2, g, 1, z Let g be (-3)/((-1)/(-4)*3). Sort 402, 2, g in descending order. 402, 2, g Let u = 3668 + -3668.21. Put -0.068, 1/7, u in decreasing order. 1/7, -0.068, u Let t = -237 - -107. Let k = t - -125. Sort 0.3, 9/5, k in increasing order. k, 0.3, 9/5 Suppose -111*q + 330 = -177*q. Suppose -76 = 5*h - 236. Let i = 0 - -1. Sort i, h, q. q, i, h Let a be 6/(48/140)*(-4)/5. Let x be ((-20)/(-385))/((-4)/a). Let n be -4 + (1 - (-2)/(-1)). Put x, -1, n, 5 in descending order. 5, x, -1, n Let s = -1/997 + 2993/1994. Sort s, -3/4, 3/5, -11 in descending order. s, 3/5, -3/4, -11 Suppose -1081*u + 1044*u = -740. Sort -29, u, -5, -2 in decreasing order. u, -2, -5, -29 Let p = 36468 + -36487. Sort 5, p, -2. p, -2, 5 Let v = 0.501 + -1.001. Let i = 114.7 + -115. Put 5, i, v, -21 in decreasing order. 5, i, v, -21 Let j = -418 - -604. Let g = j + -187. Sort g, 0.04, 0.2. g, 0.04, 0.2 Let f = 0.13 + -77.13. Let j = -10 + f. Let z = j + 86.5. Sort 4, -0.28, z in descending order. 4, -0.28, z Let u be (-70)/(-25)*-1 - 3/15. Let t be (1/(2/3))/(6/(-4)). Sort u, 4, t. u, t, 4 Let y = 29.5 + -8.5. Let k = y + -11.9. Let m = -4.1 + k. Sort -0.4, 1/2, -3/4, m in ascending order. -3/4, -0.4, 1/2, m Let u = -1740 + 1782. Put u, 5, 20 in decreasing order. u, 20, 5 Let r(o) = o**2 - o - 2. Let f be r(-2). Suppose -f*a - 348 - 124 = 0. Let j = 117 + a. Put -2, j, 1, -4 in decreasing order. 1, j, -2, -4 Let a(l) = l**3 + 8*l**2 - 37*l + 131. Let r be a(-12). Put 2/7, -2, -0.6, r, 109 in decreasing order. 109, 2/7, -0.6, r, -2 Suppose 0 = -0*a + 5*a. Suppose t = 0, 100 = -2*y + 7*y - 4*t. Let z = -27 + y. Sort z, -5, a, -3 in ascending order. z, -5, -3, a Let l = 6.0439 + -2.0439. Put -13/17, l, 1/18 in increasing order. -13/17, 1/18, l Suppose -1000*u = -888*u. Sort -2, 2271, u in descending order. 2271, u, -2 Let m(k) = -1048*k - 9428. Let v be m(-9). Put -125, 2, 1, v in descending order. v, 2, 1, -125 Let d = -0.2127 - -9.2127. Sort -4, 37, 4, d in ascending order. -4, 4, d, 37 Let k = 77 - 65. Suppose k = 4*o - 48. Suppose -o = -6*p + p. Sort 1, -5, p, 2 in increasing order. -5, 1, 2, p Let a(c) = c**2 + 8*c + 4. Let u be a(-7). Let v(p) be the third derivative of p**5/60 + 5*p**4/24 + p**3/3 + 12*p**2. Let i be v(-4). Sort 1, i, -16, u. -16, u, i, 1 Let d = 507 - 511. Let n = -4.8 + 5. Let f = 4/61 + 94/427. Sort n, f, d in decreasing order. f, n, d Let c = -95.99 + 90.99. Let w = -9 + 14. Sort 0.2, w, c, 0.4 in descending order. w, 0.4, 0.2, c Let w(m) = -7*m - 2*m - 8*m - 9 + 16*m. Let z be w(-11). Sort -3, -5, 12, z. -5, -3, z, 12 Let k be 2/(-10)*-10 + 8/(-10). Sort k, -4, 4.1 in increasing order. -4, k, 4.1 Suppose -d + 13 = 3*c + 4*d, d + 1 = 0. Let j(f) = f**3 + 40*f**2 + 76*f + 8. Let b be j(-38). Put -2, b, c in ascending order. -2, c, b Let r be (10/(-8))/(301/(-1204)). Put -2, 15, 2, r, -5/2 in descending order. 15, r, 2, -2, -5/2 Suppose 5*k - 4*a = 7, -6*k + 3*k + 17 = 4*a. Suppose 4*y + w - 3 = -0*w, k*y - 12 = -4*w. Put 5, 22, y, -4 in descending order. 22, 5, y, -4 Let h = 9 - 4. Let t(i) = -7*i**3 + 592*i**2 + 2115*i - 257. Let s be t(88). Let b be ((-2)/4)/((-1)/(-4)). Sort -5, h, s, b in descending order. s, h, b, -5 Suppose -48 = -988*r + 940*r. Put r, 16, 2, -5, 3 in decreasing order. 16, 3, 2, r, -5 Let w = -831 - -293. Let t = -534 - w. Let a = 10 + -22. Sort -1, t, 2, a in increasing order. a, -1, 2, t Let j(c) = -2*c - 5 - 7 + 3*c. Let d be j(11). Let i be (4 + -3)*d*(2 - -2). Sort i, -17, -5 in decreasing order. i, -5, -17 Let g be 2115/188*(-4)/3*-2. Suppose 2*u + 5*r = -35, u - r - 4*r - 20 = 0. Sort g, u, 5, 4 in decreasing order. g, 5, 4, u Let d be (-987)/658*((-4)/(-6) + 0). Put 54, d, 0 in descending order. 54, 0, d Let j be -19*(-24)/(-10)*(-5 + 575/92). Sort j, 4, -1, -14 in decreasing order. 4, -1, -14, j Suppose -14 = -5*h - 4*g, 5*h = 3*g + 4 + 3. Suppose 84*p - 6*p + 86 = -8*p. Sort -3, p, h. -3, p, h Suppose 10*b - b = 855. Suppose -b = 5*k - 120. Let p be (2 - (-1 - -2)) + 0. Put -2, -3, p, k in decreasing order. k, p, -2, -3 Let m be (-136)/170*20/8. Put m, -15, -5, 2, 13 in ascending order. -15, -5, m, 2, 13 Suppose 5*c - q = 3*c, 0 = 4*c + 5*q. Suppose 0 = -8*x + 23 + 65. Suppose 0 = 4*m + 12*n - 14*n + 2, 3*m - x = 4*n. Put 2, c, m in decreasing order. 2, c, m Suppose 4*b - 4 = 0, -2*b - 8 + 118 = 4*r. Suppose r = 4*j - 5. Let c = j + -9. Sort c, -4, 0.05 in increasing order. -4, c, 0.05 Let y be (582/(-1455))/(4/(-1270)). Put -2, y, 3, 2, -1 in descending order. y, 3, 2, -1, -2 Suppose -q + 228 = 4*b + q, b + 2*q = 60. Suppose -f - 2*v + 1 = -0, 5*v = 4*f - b. Sort -1, f, -4. -4, -1, f Suppose -29 = v - 3*h, -50*h + 18 = -48*h. Sort -5, 0, -23, 1, v in descending order. 1, 0, v, -5, -23 Let f = 183.63 - 183.7355. Put 2, f, 2/3 in ascending order. f, 2/3, 2 Let l be (11/(-11) - -2)/(6/24). Sort -6, -4, 2, l, -1 in descending order. l, 2, -1, -4, -6 Let d = 0 - 0.5. Let c be (-3 + (-81)/(-6))*-6. Let u = -68 - c. Put u, -1/4, d in ascending order. u, d, -1/4 Let m be 5/((-10)/(-24)) - -2. Suppose 0 = -30*j + m*j - 80. Put -2, 0, j, -1 in decreasing order. 0, -1, -2, j Let i = -13920.75 + 13921. Put 0.08, i, -2/3 in increasing order. -2/3, 0.08, i Let s = -336 - -354. Suppose 7*d - s*d - 44 = 0. Sort -35, 0, d in ascending order. -35, d, 0 Suppose -24 = -16*h + 22*h. Let y be 1/2*(0 - -4). Sort y, -8, -2, h. -8, h, -2, y Let m be 2/(-7) + (6/9 - (-142)/(-42)). Sort 3, -6, 10, m in increasing order. -6, m, 3, 10 Suppose -2*r = -3*z + 99 + 156, 5*z - 423 = 4*r. Let w = z - 169/2. Put -5, -1/3, w in decreasing order. w, -1/3, -5 Let q(m) = -m**3 - 19*m**2 - 95*m - 60. Let o be q(-8). Sort 4, -24, o. -24, o, 4 Let g be 6/(-10)*420/1386. Put -7, -3, 2/5, g, 5 in descending order. 5, 2/5, g, -3, -7 Suppose 3*a = 4*c + 214, 0 = -2*c - 0 - 2. Let l = 69 - a. Suppose -h + 10 = 4*h + d, -3*d = 5*h. Sort -4, h, 1, l in decreasing order. h, 1, l, -4 Let c = 64 - 68. Let s(r) = r**3 - 26*r**2 - 50*r + 625. Let g be s(27). Sort g, 22, c in descending order. 22, g, c Let v(n) = 70*n - 5560. Let r be v(52). Put 5, 4, r, 1 in descending order. 5, 4, 1, r Let m = -150 - -138. Let l = 682 + -688. Sort l, m, 1. m, l, 1 Suppose 15 = p - 4*l, -8 = -3*p + l - 29. Suppose 5 + 2 = -3*u - 5*c, 11 = 5*u - 3*c. Sort p, -5, 5, u in descending order. 5, u, -5, p Let z = 6 - 0. Suppose 2*j - 4*j - z = -5*a, -4*j - 12 = a. Let b = -61 - -61. Put b, 8, j, 5 in ascending order. j, b, 5, 8 Let z = -3328.7 - -3329. Put z, 0.07, -133 in decreasing order. z, 0.07, -133 Let q be (-300)/(-24) + -8 + (-3)/2. Suppose -5*z + 59 = t, -q*z + 13 + 25 = -2*t. Put 3, 1, -1, z in descending order. z, 3, 1, -1 Let f be 2/4*(-1)/1. Let q = -18.93 - -19.13. Sort 1.3, q, f in decreasing order. 1.3, q, f Let l(w) = w**2 - 6*w + 5. Let s be l(5). Let h(p) = 18*p - 3628. Let i be h(199). Put i, -0.5, -4, s in descending order. s, -0.5, -4, i Let g = 13.7 - 1.7. Let t = g + -14. Let d = 22.67 - 18.67. Sort d, -2/5, 2/13, t in increasing order. t, -2/5, 2/13, d Let w be 481/(-143) - ((-12)/(-3) - 7). Let x = -21 + 12. Let o = -6 - x. Sort -3, w, o. -3, w, o Let r = -20413/34 - -1201/2. Sort -3872, 2, r in descending order. 2, r, -3872 Let l be (-6)/(-10)*(-30)/(-7 - -1). Suppose -l*m + 3*k + 103 = 8*k, 3*m - 4*k - 85 = 0. Suppose m = 3*v + 49. Put -0.1, -1, v in increasing order. v, -1, -0.1 Let q = 8249 + -8383. Sort 1, -5, q in decreasing order. 1, -5, q Let b be (26 - 15) + 1*5. Suppose 0 = b*d - 11*d - 25. Put d, -8, 1 in descending order. d, 1, -8 Let n(i) = -1
{ "pile_set_name": "DM Mathematics" }
3*k**3*o*x**2 + k*o*x**2 + k + 641*o**2*x**3 wrt x. -6*k**3*o**2 + 3846*o**2 What is the derivative of 22*x**4 + 33*x**3 + x**2 + 12737? 88*x**3 + 99*x**2 + 2*x Find the second derivative of -4*f**3*g**2*o - 2*f**3*g + 164*f**3 - 106*f*g**2*o + f*g*o + 2*g*o wrt g. -8*f**3*o - 212*f*o Differentiate 145*h**2 - 7*h - 810. 290*h - 7 Find the second derivative of a**2*b**2*k - 2*a**2*b*k*t - 810*a**2*k*t - 11*a*b**2*t - a*b*k*t - a*b*k + 5*a - 2*k*t - 1 wrt a. 2*b**2*k - 4*b*k*t - 1620*k*t What is the second derivative of 1215*g*z**3 + 2*g*z**2 + 3280*g*z + g - 2*z**3 + z wrt z? 7290*g*z + 4*g - 12*z What is the third derivative of -5*k**3*n*w**3 + 4*k**3*n*w**2 - 3*k**3*n*w + 42*k*n*w**3 - 10*n*w**2 wrt w? -30*k**3*n + 252*k*n Find the second derivative of -6857*c**2 + 815*c + 1 wrt c. -13714 What is the third derivative of 35*m**5 - 8*m**4 - m**3 + 2*m**2 + 1123*m + 3 wrt m? 2100*m**2 - 192*m - 6 Find the second derivative of -410*s**3 - 2*s + 181 wrt s. -2460*s What is the third derivative of 233*f**4 - f**3*z**2 - 91*f**2 - 3*f*z**2 wrt f? 5592*f - 6*z**2 Find the first derivative of -27*p**3 + 4*p**2 + 2*p - 5714. -81*p**2 + 8*p + 2 What is the third derivative of 10*r**5*y + 2*r**5 + 6*r**2*y + 17*r*y wrt r? 600*r**2*y + 120*r**2 Find the third derivative of -129*i**6 + 106*i**2 + 2. -15480*i**3 What is the third derivative of 23*s**5 - 118*s**2 wrt s? 1380*s**2 Differentiate -39*p*s**3 - 150*p - 2*s**4 - s**3 with respect to s. -117*p*s**2 - 8*s**3 - 3*s**2 Find the second derivative of -58*i**4 - 20*i**2 + 28976*i wrt i. -696*i**2 - 40 Find the second derivative of 46*j**3*l**4 - 2*j**3*l - 62*j**3 - l**4 wrt l. 552*j**3*l**2 - 12*l**2 What is the first derivative of 254*s**3 + 130 wrt s? 762*s**2 Find the third derivative of 1044*d**4 - 513*d**2. 25056*d What is the third derivative of 3*j**2*p**4 + j**2*p**3 - j**2 - j*p**2 + 86*j*p wrt p? 72*j**2*p + 6*j**2 Find the second derivative of 425*n**3*p**3 - 109*n**3*p + n*p**4 + 2*n - 2 wrt p. 2550*n**3*p + 12*n*p**2 Find the first derivative of 2361*j - 1290 wrt j. 2361 Differentiate -1430*k**3*y**4 - 3*k**3 - 55*k**2 - 4*k*y**4 with respect to y. -5720*k**3*y**3 - 16*k*y**3 What is the third derivative of 2*i**3*l**3 - 1489*i**3*l - 3*i**2*l**3 + 3*i**2*l**2 - 102*i**2 wrt i? 12*l**3 - 8934*l What is the second derivative of 2*d**3*t**3 - 16*d**3*t**2 - d**3*t + 342*d*t wrt t? 12*d**3*t - 32*d**3 What is the second derivative of 88*k*p**2 - 21*k*p + p**3 + 5*p wrt p? 176*k + 6*p What is the derivative of 3*g**3*q + 57*g**3 - 102*g**2*q**3 wrt q? 3*g**3 - 306*g**2*q**2 What is the second derivative of 447*l**2*q**2 + l*q - q**2 + 3 wrt l? 894*q**2 Differentiate -2036*j**3 + 1242 wrt j. -6108*j**2 What is the first derivative of -117*k**4 + 3*k**3 - k**2*m + 103*m - 2 wrt k? -468*k**3 + 9*k**2 - 2*k*m What is the second derivative of -720*q**5 - q**3 - 2*q**2 - 7863*q wrt q? -14400*q**3 - 6*q - 4 Find the first derivative of 574*p**3*y + 61*p**3 wrt y. 574*p**3 What is the third derivative of 1024*u**3 + 337*u**2 + 2*u wrt u? 6144 Find the second derivative of 3*l**3*r**2 - 13*l**3*r + 69*l*r**3 - 24*l*r wrt r. 6*l**3 + 414*l*r Differentiate -630*m**3 + 503. -1890*m**2 Differentiate -942*d**3*f**3 + d**3*f - 2*d**3 + 504*d wrt f. -2826*d**3*f**2 + d**3 Find the third derivative of w**6 + 92*w**5 + 86*w**2. 120*w**3 + 5520*w**2 Differentiate -36*g**2 + g - 439. -72*g + 1 What is the second derivative of 3357*m**2 + 8112*m? 6714 Find the first derivative of -3*i**2*z - 135*i*z - 407*z wrt i. -6*i*z - 135*z Find the second derivative of 593*w**2 - 2*w + 188 wrt w. 1186 What is the third derivative of 2*j**3*n**3*z**2 + 3122*j**3*z**3 - 2*j**2*n**3*z - 311*j**2*n**2*z**3 + 2*j**2*n**2 + j*n*z**2 wrt j? 12*n**3*z**2 + 18732*z**3 What is the derivative of -3*h*q**3*z**2 - 1467*h*q*z**2 + 2950*q**3 - 3*z**2 wrt h? -3*q**3*z**2 - 1467*q*z**2 What is the third derivative of -119*r**5 + 169*r**2 wrt r? -7140*r**2 What is the second derivative of 762*x**2 + 228*x wrt x? 1524 Differentiate -d*f**3*u + 30*d*u - f**3 - 12*f**2*u with respect to d. -f**3*u + 30*u Find the second derivative of 2*j*y**2*z + j*y**2 + 5*j*z**2 + 2*y**2*z**3 + 2*y**2 - 6*y*z**2 + 14 wrt z. 10*j + 12*y**2*z - 12*y What is the first derivative of -55*k**2*m**3 - 192*k**2 + 14*k*m**3 - 3 wrt m? -165*k**2*m**2 + 42*k*m**2 What is the third derivative of 6324*n**3 - 2*n**2 - n - 311 wrt n? 37944 Find the third derivative of 23*c**6*o + 9*c**3*o - 371*c**2 - c*o wrt c. 2760*c**3*o + 54*o Find the second derivative of -8*d**5 + 2*d**3*z - 3*d**2*z - 8*d*z + d - 2*z wrt d. -160*d**3 + 12*d*z - 6*z What is the third derivative of 5*y**6 + 500*y**4*z**2 - 2*y**4 - 218*y**2*z**2 + 3*y**2*z + 7*y*z**2 wrt y? 600*y**3 + 12000*y*z**2 - 48*y Differentiate 3*h**2*u**3 - 186*h**2*u**2 + 1228*u**3 wrt h. 6*h*u**3 - 372*h*u**2 Find the second derivative of 14*z**4 + 10*z**3 + 221*z. 168*z**2 + 60*z Differentiate -2*b**2*h - b**2*i**2 + 15*b*h - 29*b*i**2 + 6*b + 9*h*i**2 with respect to i. -2*b**2*i - 58*b*i + 18*h*i What is the second derivative of 4*i**2*o**2*v**2 + 32*i**2*o**2*v - 3*i**2*o*v + 5*i*o**2 + 2*i*o*v**2 + 3*i + 6*o*v**2 - o*v wrt o? 8*i**2*v**2 + 64*i**2*v + 10*i What is the second derivative of 282*h**4 - h**2*z**2 + 4*h*z + 50*z**2 wrt h? 3384*h**2 - 2*z**2 Find the second derivative of -2461*a**3*r**2 - 2*a**3*y**2 + 2*a**2*r**2*y**2 - a**2*r*y**2 - 36*a**2*r*y - 16*a**2*y**2 wrt r. -4922*a**3 + 4*a**2*y**2 What is the first derivative of -86*x*z**4 + x*z - 3*x - z**2 + 25 wrt z? -344*x*z**3 + x - 2*z Find the first derivative of -871*r**2 - 1750 wrt r. -1742*r Differentiate -21*j*r*t**2 + j*r - 9*j*t**2 - 7*r*t**2 - 9*r - t**2 - 262 wrt r. -21*j*t**2 + j - 7*t**2 - 9 What is the third derivative of -3*b*j**3 + 460*b*j**2 - 3422*j**3 - j**2 - 1 wrt j? -18*b - 20532 Find the second derivative of -j*p**2 - j*p + 94*j + 36*p**2 wrt p. -2*j + 72 Find the second derivative of -98*u**3*z**3 + 5*u*z**2 + 3*z**3 - 3 wrt u. -588*u*z**3 Differentiate 4*r**2*w*x + 4*r**2*x - 3*r**2 - 19*r*w*x + 3*x with respect to w. 4*r**2*x - 19*r*x What is the first derivative of -2*l*q*t + l*q*z - 54*l*t*z + q*t + 2*q*z - t + 5*z wrt t? -2*l*q - 54*l*z + q - 1 Differentiate -j*l*o - 10*j*l - 2*j - 25*l*o**3 - 2*l with respect to o. -j*l - 75*l*o**2 Differentiate c**3 + 1037*c**2 + c + 3728 with respect to c. 3*c**2 + 2074*c + 1 Find the second derivative of -210*t**3 + 108*t + 1 wrt t. -1260*t What is the third derivative of 2*c**3*p**2*s**2 - 168*c**3*p*s**3 - c**3*p*s + c**2*p**3*s**3 - p**3 - 3*p**2*s**2 wrt s? -1008*c**3*p + 6*c**2*p**3 What is the third derivative of -16*q**6 - q**5 - 116*q**4 + 13304*q**2? -1920*q**3 - 60*q**2 - 2784*q What is the third derivative of 5919*c**3*z**3 - 56*c**2*z**3 - c**2 - 2*c*z**3 - 12*c*z wrt c? 35514*z**3 What is the third derivative of -8*a**3*j**3*p**2 + 5*a**3*j**2*p**2 + 9*a**3*j**2 - 5*a**3*p**2 - 16*a*j**3 + 2*j**3*p**2 wrt j? -48*a**3*p**2 - 96*a + 12*p**2 Find the third derivative of 871*y**6 - 1223*y**2 wrt y. 104520*y**3 What is the derivative of 4*c**3*t + 6*c**2*t + 3*c*t + 182*t wrt c? 12*c**2*t + 12*c*t + 3*t What is the third derivative of 1163*h**3 - h**2 + 1456*h wrt h? 6978 Differentiate 1173*r*u**3 + r*u**2 + 1018*r with respect to u. 3519*r*u**2 + 2*r*u Find the first derivative of -1173*v**2 + 2*v + 7965. -2346*v + 2 What is the first derivative of -2*r*s + 2*r*x + 3*r + 2*s**3*x - 2*s**2*x + 8*s*x + 3*x wrt s? -2*r + 6*s**2*x - 4*s*x + 8*x Differentiate -142*m*y**3 - 2*m*y**2 - 3*m - 2290*y**3 with respect to m. -142*y**3 - 2*y**2 - 3 Find the first derivative of -137*c**2 + 2*c - 13. -274*c + 2 What is the second derivative of -4892*g**2 - 7302*g? -9784 Find the second derivative of -508*g**5 + 601*g wrt g. -10160*g**3 What is the third derivative of 9298*y**5 + 8110*y**2 wrt y? 557880*y**2 Find the second derivative of 2202*u**2 - 11205*u. 4404 Differentiate -148*a + 169. -148 What is the second derivative of 194*j**2*y**4 - 2*j**2 + 3*y**3 - 90*y wrt y? 2328*j**2*y**2 + 18*y Find the third derivative of -448*j**3 - 170*j**2 wrt j. -2688 What is the second derivative of -62*o**2 + 22*o + 2? -124 What is the second derivative of l**2*t**2 + 2*l**2*z**2 + 3*l**2 - 2*l*t**2 - 17*l*z*
{ "pile_set_name": "DM Mathematics" }
True Is 59816267 a multiple of 17? False Is 35 a factor of 178433325? True Is 63604350 a multiple of 1686? True Does 23 divide 60445859? False Is 53783332 a multiple of 398? True Does 179 divide 122114158? True Is 58 a factor of 1539113114? True Is 234701885 a multiple of 121? True Is 371 a factor of 125856709? False Does 7991 divide 1456247876? True Is 153 a factor of 7218081? True Is 380 a factor of 357323216? False Does 7 divide 31708122? False Is 162 a factor of 20790468? False Is 1139 a factor of 623970828? False Is 315 a factor of 245761425? True Does 2417 divide 358692468? True Does 678 divide 7718139? False Is 16701948 a multiple of 36? True Does 242 divide 63345436? True Is 217803432 a multiple of 196? True Does 59 divide 116411484? True Is 614106018 a multiple of 2535? False Is 59 a factor of 85953914? True Does 405 divide 187762455? True Does 22 divide 1789072714? True Is 269426697 a multiple of 175? False Does 11 divide 162025348? False Is 480 a factor of 1242715200? True Is 51 a factor of 72123333? True Is 17 a factor of 87211989? True Does 167 divide 73467296? False Is 2296102614 a multiple of 169? True Does 18 divide 224096598? True Is 5085924583 a multiple of 187? False Is 2845 a factor of 990690850? False Is 4995820115 a multiple of 319? False Does 51 divide 14342301? False Is 92981157 a multiple of 38? False Is 1251 a factor of 1126340352? True Is 287 a factor of 24366546? False Does 9 divide 1028403? True Is 112 a factor of 5940559296? True Does 423 divide 1340294187? False Does 272 divide 1400902272? True Is 90244097 a multiple of 439? False Does 656 divide 2112381008? True Does 697 divide 580528993? False Does 293 divide 29272376? False Is 136 a factor of 454692144? False Does 7 divide 1099897505? True Is 12 a factor of 40989948? True Is 19 a factor of 6680651? False Is 10 a factor of 27445446? False Does 10 divide 254869180? True Does 114 divide 1853658012? True Is 234 a factor of 70164432? True Is 18 a factor of 19619247? False Is 31 a factor of 762908699? False Is 40872378 a multiple of 453? True Does 21 divide 5227174? False Is 80 a factor of 1476640? True Is 1475544028 a multiple of 76? True Does 378 divide 2304687546? True Is 54 a factor of 9370887? False Is 974482780 a multiple of 5? True Is 230 a factor of 51678240? True Is 43375362 a multiple of 935? False Does 10 divide 3159570? True Is 53544750 a multiple of 1519? True Is 11 a factor of 1531475970? False Is 1837 a factor of 66666567? True Does 16 divide 56056670? False Is 149921263 a multiple of 5? False Is 54 a factor of 2878683084? True Is 8140800 a multiple of 75? True Does 34 divide 5827980120? True Is 60717255 a multiple of 126? False Does 44 divide 177832292? True Does 829 divide 160947144? False Is 14 a factor of 650755644? True Is 47 a factor of 24195788? True Is 118796395 a multiple of 1649? False Is 27702701 a multiple of 9? False Is 16159561 a multiple of 211? False Does 66 divide 109694904? True Is 426 a factor of 17242776? True Is 158456349 a multiple of 88? False Is 23 a factor of 2894130388? True Is 149065650 a multiple of 90? True Is 3 a factor of 1224920? False Is 30133647 even? False Is 1176 a factor of 233613576? True Does 513 divide 4416004? False Does 279 divide 447396309? True Is 21289254 a multiple of 14? True Does 25 divide 13284600? True Is 67655828 a multiple of 506? False Is 454313466 a multiple of 2694? True Does 278 divide 30616418? True Is 1696796348 a multiple of 8762? True Is 180 a factor of 15624467? False Does 598 divide 62004826? True Is 200248049 a multiple of 6? False Does 25 divide 50345876? False Does 22 divide 14159667? False Is 17026752 a multiple of 32? True Is 5355514 a multiple of 6? False Is 14735724 a multiple of 12? True Is 23 a factor of 6955901? False Does 409 divide 134112327? True Does 686 divide 523423826? False Is 1438346425 a multiple of 31? False Is 14172043 a multiple of 19? True Is 235 a factor of 768200721? False Does 151 divide 281931389? False Is 7 a factor of 89349686? False Is 476 a factor of 74093684? True Does 1413 divide 422851554? True Is 49 a factor of 47686751? True Is 162 a factor of 86907006? True Is 178 a factor of 833988? False Does 658 divide 37815260? True Is 534266273 a multiple of 682? False Does 1905 divide 5446395? True Is 18 a factor of 1949770877? False Does 103 divide 16083748? False Is 131775435 a multiple of 1763? True Does 73 divide 389311523? False Is 416 a factor of 31443261? False Is 1031888 a multiple of 902? True Does 12 divide 3228510084? True Is 18979623 a multiple of 27? True Is 276405088 a multiple of 4168? True Is 216 a factor of 50084925? False Is 41179282 a multiple of 913? False Does 5336 divide 523883144? True Does 16 divide 12351314? False Is 69816317 a multiple of 361? True Is 4814 a factor of 24941334? True Is 325460647 a multiple of 24? False Does 24 divide 11388024? True Is 27 a factor of 235700001? False Is 75 a factor of 230046075? True Is 1102 a factor of 964154126? True Is 22413514 a multiple of 34? True Is 4794 a factor of 2455906006? False Does 5907 divide 31183053? True Is 305 a factor of 51072860? True Does 507 divide 89124262? False Is 15 a factor of 1547353260? True Is 578804686 a multiple of 1692? False Does 4 divide 8707800? True Is 102 a factor of 54649108? False Does 92 divide 16015326? False Does 10 divide 17012040? True Is 310823204 a multiple of 2? True Is 372 a factor of 492586032? True Does 235 divide 26112633? False Is 4 a factor of 777825392? True Is 83821960 a multiple of 10? True Is 746865 a multiple of 21? True Is 392385959 a multiple of 1867? False Is 196788032 a multiple of 64? True Is 23 a factor of 366134033? True Is 100799160 a multiple of 422? False Is 3 a factor of 132798205? False Is 11 a factor of 84130334? False Does 1501 divide 1288278280? True Does 12 divide 138195228? True Is 1286 a factor of 295809578? True Is 5915111 a multiple of 355? False Is 81087190 a multiple of 30? False Does 66 divide 3020886? True Does 36 divide 757988172? True Does 12419 divide 286282788? True Is 78 a factor of 233489415? False Does 51 divide 10442588? False Is 125444776 a multiple of 30? False Is 43 a factor of 253151364? False Is 128760931 a multiple of 1502? False Is 132695199 a multiple of 117? True Is 125299805 a multiple of 166? False Is 363 a factor of 2541127? False Does 29 divide 614254282? False Does 741 divide 60205434? False Does 67 divide 4096715268? True Does 2728 divide 189126784? True Is 2013666087 a multiple of 6191? True Is 366764946 a multiple of 2618? False Is 73 a factor of 39054772? False Is 22053857 a multiple of 624? False Does 14 divide 2215634? False Is 3 a factor of 1912826? False Is 108330022 a multiple of 122? True Is 4684 a factor of 594076404? True Does 58 divide 362476046? True Is 33 a factor of 12713052? True Is 8799716 a multiple of 2? True Does 222 divide 6181368? True Is 31779520 a multiple of 20? True Is 108719178 a multiple of 47? True Does 252 divide 3318765660? True Is 1652642 a multiple of 23? True Does 81 divide 717361992? False Is 3081653232 a multiple of 2616? True Is 1922753270 a multiple of 134? True Is 58 a factor of 732115334? False Does 7587 divide 623825901? True Is 1919 a factor of 610689127? True Does 3 divide 392751569? False Does 85 divide 105494435? True Is 211 a factor of 4971747? False Is 1550 a factor of 65360252? False Is 5180146460 a multiple of 22? False Is 42498416 a multiple of 197? True Is 45 a factor of 26671770? True Is 128811344 a multiple of 71? False Does 56 divide 4938633208? False Is 19138030 a multiple of 5? True Is 87 a factor of 1080085773? True Is 1169 a factor of 92954026? False Is 1656079950 a multiple of 7325? True Is 1087 a factor of 591356262? True Does 43 divide 3918645083? True Does 89 divide 930396454? False Is 10 a factor of 31422648? False Is 4533014 a multiple of 125? False Is 10 a factor of 12435368? False Is 922 a factor of 9313408? False Is 34 a factor of 291673216? True Does 1719 divide 86253183? False Does 26 divide 36964648? False Is 1652 a factor of 146689340? True Is 436 a factor of 61115428? True Is 109 a factor of 26984188? False Is 18432066 a multiple of 237? False Does 59 divide 372012523? True Is 38234138 a multiple of 86? True Is 103611310 a mu
{ "pile_set_name": "DM Mathematics" }
- 18 = 4 for p. -2 Solve 322 = 3*f + 334 for f. -4 Solve -30 = -7*t - 9 for t. 3 Solve -169 = 47*d - 545 for d. 8 Solve 14*n + 12 = 11*n for n. -4 Solve 0 = 79*p + 131 + 264 for p. -5 Solve 81 = 26*u - 101 for u. 7 Solve 8*v + 39 - 15 = 0 for v. -3 Solve -29 = -64*o + 227 for o. 4 Solve 7*j + 21*j = 168 for j. 6 Solve -67*n + 70*n = 15 for n. 5 Solve 22*q + 536 - 668 = 0 for q. 6 Solve 18*c = 11*c - 70 for c. -10 Solve 0 = -13*k - 162 + 175 for k. 1 Solve -4*x - 15 + 7 = 0 for x. -2 Solve -4*r = -r - 6 for r. 2 Solve 24*x - 7*x = 85 for x. 5 Solve -12*o = -26 - 22 for o. 4 Solve -1 = -j - 2 for j. -1 Solve -855*m - 15 = -852*m for m. -5 Solve -28 = -7*y - 0 for y. 4 Solve -14 = -7*q - 7*q for q. 1 Solve 6*j = 39*j + 66 for j. -2 Solve -95*d + 66 = -106*d for d. -6 Solve -60*y - 8 = -428 for y. 7 Solve 904*r = 910*r for r. 0 Solve -144 + 112 = -4*c for c. 8 Solve 38*h + 217 - 521 = 0 for h. 8 Solve 21*l = 33 + 93 for l. 6 Solve 0 = -15*c + 51 - 6 for c. 3 Solve 6 = 13*p - 7 for p. 1 Solve 29*a + 327 = 37 for a. -10 Solve -39*p - 20 = -35*p for p. -5 Solve -4845*j + 4840*j = 45 for j. -9 Solve -11*u - 112 = -101 for u. -1 Solve 0 = 1075*p - 1069*p - 36 for p. 6 Solve 0 = 60*r - 110*r for r. 0 Solve -b - 3 = -6 for b. 3 Solve 22*l - 146 = -36 for l. 5 Solve 2*i = 24 - 30 for i. -3 Solve -19*w = -14*w - 25 for w. 5 Solve 0 = 17*y - 3*y + 28 for y. -2 Solve 0 = g - 1 + 5 for g. -4 Solve -76 = 19*m + 19*m for m. -2 Solve 0 = -41*l - 71 + 153 for l. 2 Solve -8069 = 9*q - 8141 for q. 8 Solve -6*u + 9*u = -u for u. 0 Solve 9 = 5*u - 6 for u. 3 Solve -41*o - 254 - 74 = 0 for o. -8 Solve 8*w - 11 = 21 for w. 4 Solve -98*a + 177*a = 316 for a. 4 Solve -5*u - 8*u + 91 = 0 for u. 7 Solve 11*r + 2228 - 2129 = 0 for r. -9 Solve -10*k - 7 = 3 for k. -1 Solve -22*i = -24 + 112 for i. -4 Solve 0 = -26*r - 193 + 141 for r. -2 Solve -8 = -6*u - 2 for u. 1 Solve 0 = -91*l + 29*l - 62 for l. -1 Solve 50 = -2*w - 8*w for w. -5 Solve -137 = -4*k - 97 for k. 10 Solve -3*c + 2*c = 3*c for c. 0 Solve 6*x - 3*x = 12 for x. 4 Solve -628 + 638 = 2*s for s. 5 Solve -2*d - 17*d = -95 for d. 5 Solve -7*w = -4*w + 3 for w. -1 Solve 0 = -88*n + 21*n + 268 for n. 4 Solve 8*n = 10*n + 4 for n. -2 Solve -26*c = -31*c - 25 for c. -5 Solve -2 = 3*g - 2*g for g. -2 Solve 32 = -29*w + 37*w for w. 4 Solve f = -5*f - 30 for f. -5 Solve 81*u + 29 = -52 for u. -1 Solve 42 = 44*w - 37*w for w. 6 Solve 0 = -5*r + 3 - 13 for r. -2 Solve 268*p - 267*p = 3 for p. 3 Solve 407*f + 2 = 408*f for f. 2 Solve 517*k - 30 = 511*k for k. 5 Solve 4*h + 6 = -14 for h. -5 Solve -35*u + 186 = -4*u for u. 6 Solve -4 = -38*k - 232 for k. -6 Solve -4*p - 40 = -48 for p. 2 Solve -35*w + 49*w + 42 = 0 for w. -3 Solve -92 = -16*b + 20 for b. 7 Solve -6*b + 29 = 41 for b. -2 Solve 9*n - 22 = -49 for n. -3 Solve 0 = -46*d + 48*d for d. 0 Solve 54*u - 59*u = 10 for u. -2 Solve -30*v = -28*v - 10 for v. 5 Solve -19*d + 14*d = -5 for d. 1 Solve 337*d = 324*d - 39 for d. -3 Solve 508*y = 511*y - 3 for y. 1 Solve -44*z + 15 - 235 = 0 for z. -5 Solve 5*s + 4 = -21 for s. -5 Solve -2*d = 1 - 1 for d. 0 Solve 2*y + 15 = 1 for y. -7 Solve 5*r + 4 = 6*r for r. 4 Solve 6*a = 3 - 21 for a. -3 Solve 167*p - 176*p - 18 = 0 for p. -2 Solve -330*c + 334*c = -4 for c. -1 Solve 0 = 127*k - 41 - 213 for k. 2 Solve -27*c - 40 + 13 = 0 for c. -1 Solve 265 + 95 = -40*f for f. -9 Solve 21*b + 342 = 321 for b. -1 Solve 0 = -8*k + 117 - 133 for k. -2 Solve -60*n + 53*n = 7 for n. -1 Solve 12 = 10*d + 52 for d. -4 Solve 19 = -3*m + 13 for m. -2 Solve 5 = -5*i + 30 for i. 5 Solve 17*c = 74 - 6 for c. 4 Solve 7*g - 40 = -5 for g. 5 Solve n + 30 = 28 for n. -2 Solve 4*k + 52 = -9*k for k. -4 Solve 0 = 42*b - 56*b for b. 0 Solve 5*x - 6*x = 3 for x. -3 Solve 45*q + 288 + 27 = 0 for q. -7 Solve 1031*s - 1019*s + 72 = 0 for s. -6 Solve -17*r = -25*r - 24 for r. -3 Solve 8 + 34 = 14*t for t. 3 Solve 0 = 13*s + 29*s - 168 for s. 4 Solve 12*v - 29 = -113 for v. -7 Solve r + 4 = 3 for r. -1 Solve 4*l - 39 = -9*l for l. 3 Solve -25*j - 200 = -5*j for j. -10 Solve 11*z - 49*z + 190 = 0 for z. 5 Solve 49 = -2*w + 41 for w. -4 Solve 0 = h + 55 - 56 for h. 1 Solve -4*l + 6 = -l for l. 2 Solve -8*m + 8 = -0 for m. 1 Solve -28*o - 576 = 44*o for o. -8 Solve -9 + 11 = 2*w for w. 1 Solve 25*x - 26*x = -1 for x. 1 Solve 57 = 4*h + 61 for h. -1 Solve -10*l = -12*l + 8 for l. 4 Solve -134*h + 4 = -136*h for h. -2 Solve 12 - 48 = -9*f for f. 4 Solve -20*q = -22*q + 2 for q. 1 Solve 119*o - 109*o = -10 for o. -1 Solve -21 = -62*z + 69*z for z. -3 Solve -32*d - 39 = -231 for d. 6 Solve -3*y + 6*y - 12 = 0 for y. 4 Solve 5 = 32*r - 27*r for r. 1 Solve -24*r = 25 + 95 for r. -5 Solve 35 = 22*v + 79 for v. -2 Solve 11*z = 8*z + 6 for z. 2 Solve 0 = -5*j - 25 + 15 for j. -2 Solve -162*x + 165*x = 0 for x. 0 Solve 48*j = 38*j + 20 for j. 2 Solve -21*p + 33*p = -72 for p. -6 Solve 888 = -7*a + 923 for a. 5 Solve 7*h - 18 = h for h. 3 Solve 0 = -4*l - 15 - 5 for l. -5 Solve 0 = 13*d - 7*d + 6 for d. -1 Solve 0 = -14*x + 10*x + 8*x for x. 0 Solve 6*n - 350 = -314 for n. 6 Solve -2*d = 18 - 30 for d. 6 Solve 7*u - 109 = -158 for u. -7 Solve -2 = 2*y - 0*y for y. -1 Solve 39 - 34 = z for z. 5 Solve -61*g + 185 = -120 for g. 5 Solve 0 = -8*p - 23 - 41 for p. -8 Solve -4*p + 6 = -2 for p. 2 Solve -5*g - 20 = -0*g for g. -4 Solve 0 = 5*t - 10*t + 20 for t. 4 Solve -11 = 6*q - 5 for q. -1 Solve -2*j - 3 = 7 for j. -5 Solve 0 = 4*f + 296 - 308 for f. 3 Solve -5*h = -1852 + 1867 for h. -3 Solve 4*b - 13 - 7 = 0 for b. 5 Solve -18 = -859*z + 856*z for z. 6 Solve 63*a - 8 = 59*a for a. 2 Solve 18*z = 22*z + 16 for z. -4 Solve 69*l - 801 = -20*l for l. 9 Solve 0 = -9*m - 61 + 7 for m. -6 Solve 73 = 7*j + 94 for j. -3 Solve 12 = 9*w - 3*w for w. 2 Solve 0 = -90*i + 30*i + 660 for i. 11 Solve 385 = -2*p - 53*p for p. -7 Solve -44*n + 17*n = 162 for n. -6 Solve -214*n + 199*n = -105 for n. 7 Solve -3*c + 12 = -3 for c. 5 Solve -493 = 7*k - 493 for k. 0 Solve -20*o = -15*o - 10 for o. 2 Solve 0 = 25*t + 25 - 0 for t. -1 Solve -9*y + 831 = 858 for y. -3 Solve -114 = -30*n + 66 for n. 6 Solve -74 = -14*p - 172 for p. -7 Solve -5*z + 4*z = -7 for z. 7 Solve -250 + 275 = 5*d for d. 5 Solve -62 = -3*h - 59 for h. 1 Solve 0 = 7*y - 31 + 52 for y. -3 Solve -242*r = -240*r - 12 for r. 6 Solve -s - 2 = s for s. -1 Solve 0 = 51*n - 65*n + 28 for n. 2 Solve -17*i - 22 - 114 = 0 for i. -8 Solve -36*b - 30*b = 52*b for b. 0 Solve 36*t + 9 = 39*t for t. 3 Solve -836 = 13*o - 784 for o. -4 Solve 0 = 11*l - 81 + 15 for l. 6 Solve 138*v = -589 - 239 for v. -6 Solve -12*h - 82 = -118 for h. 3 Solve -62*x - 8 = -64*x for x. 4 Solve 988 = 95*d + 323 for d. 7 Solve 8*a = a for a. 0 Solve 0 = -3*r - 17 + 5 for r. -4 Solve 0 = 126*f - 127*f + 4 for f. 4 Solve -7 = -12*p + 5 for p. 1 Solve -39*b + 61*b = -22 for b. -1 Solve -108*f = -123*f - 45 for f. -3 Solve -7 = -14*w + 21*w for w. -1 Solve 20 = -11*i + 9 for i. -1 Solve 68 = -18*l + 14 for l. -3 Solve 0 = 516*r - 498*r - 72 for r. 4 Solve 4 = 3*y - 2*y for y. 4 Solve 2*g - 5*g + 6 = 0 for g. 2 Solve 9*d = 7 + 20 for d. 3 Solve -13*r = -18*r for r. 0 Solve 12 - 14 = 2*v for v. -1 Solve 60*x = 64*x + 20 for x. -5 Solve -4*t - 2642 = -2646 for t. 1 Solve -1 = -2*r + 3 for r. 2 Solve 40*s - 17*s + 115 = 0 for s. -5 Solve -30 = 6*n + 4*n for n. -3 Solve 8*u - 3*u - 5 = 0 for u. 1 Solve 49*k = 22*k - 162 for k. -6 Solve 7*g - 2 = -37 for g. -5 Solve 29*j + 112 = 45*j for j. 7 Solve 68 = -60*b + 94*b for b. 2 Solve 13*d + 1 = 12*d for d. -1 Solve 49*d + 125 = 24*d for d. -5 Solve 0 = 14*b - 22*b - 8 for b. -1 Solve -51*v = -57*v - 24 for v. -4 Solve -8*s = -34 - 30 for s. 8 Solve -3*p = 4*p + 35 for p. -5 Solve -32*g = -29*g for g. 0 Solve 49*c - 128 = 113*c for c. -2 Solve 25*c + 78*c + 927 = 0 for c. -9 Solve 14 - 22 = 8*j for j. -1 Solve 71*v = -45 - 168 for v. -3 Solve 0*g = 3*g + 12 for g. -4 Solve 17*a = 2*a - 75 for a. -5 Solve 0 = -21*j - 31 - 32 for j. -3 Solve 3*o + 9 = 6*o for o. 3 Solve -5 = 4*c - 3*c for c. -5 Solve 6*z - 30 = -4*z for z. 3 Solve -15*a + 19*a + 12 = 0 for a. -3 Solve 0 = -10*c + 2*c + 40 for c. 5 Solve -y - y - 4 = 0 for y. -2 Solve 2*f = 19*f + 17 for f. -1 Solve 0 = w + 6*w + 14 for w. -2 Solve 0 = 92*g - 104*g + 12 for g. 1 S
{ "pile_set_name": "DM Mathematics" }
5*u - 55 = 16*u for u. -5 Solve -3*b = 171 - 186 for b. 5 Solve -10*z - 1565 + 1625 = 0 for z. 6 Solve 2*l + 182 = 172 for l. -5 Solve 8*d + 65 - 25 = 0 for d. -5 Solve -7*x = 31*x - 266 for x. 7 Solve 35 = -52*f - 381 for f. -8 Solve 3167*s - 3162*s + 5 = 0 for s. -1 Solve 4*w - 18*w = -84 for w. 6 Solve 0 = 2*d + 4*d + 12 for d. -2 Solve 18 = -16*r + 66 for r. 3 Solve 27*l - 11*l = 11*l for l. 0 Solve 95 = -20*p - 25 for p. -6 Solve -42 = 17*q + 9 for q. -3 Solve 32 = 10*i - 14*i for i. -8 Solve 209 - 34 = -25*p for p. -7 Solve -16*z + 15*z = -5 for z. 5 Solve 49*r = 59*r - 40 for r. 4 Solve -42*o = -49*o + 21 for o. 3 Solve 133 = 5*v + 148 for v. -3 Solve -2*j + 25 = -7*j for j. -5 Solve 394 = 8*q + 330 for q. 8 Solve 7 - 17 = -10*c for c. 1 Solve -120 = -10*q - 10*q for q. 6 Solve 0 = 30*m + 73 - 13 for m. -2 Solve 2*w - 35 = -25 for w. 5 Solve -119*w + 125*w = 42 for w. 7 Solve 658*h + 28 = 672*h for h. 2 Solve 82*y - 75*y - 49 = 0 for y. 7 Solve -3617*z = -3621*z - 20 for z. -5 Solve -3*t + 4 = -2 for t. 2 Solve -2324*u + 20 = -2319*u for u. 4 Solve 62*d = -14 + 76 for d. 1 Solve 0 = 39*d - 35*d + 4 for d. -1 Solve -50*b - 54*b - 624 = 0 for b. -6 Solve 48*j = 101 + 283 for j. 8 Solve 0 = 12*j - 18 - 6 for j. 2 Solve -4*j + 77 = 53 for j. 6 Solve 8*x - 10*x = 8 for x. -4 Solve 12*k - k = 3*k for k. 0 Solve 60*r - 3*r + 342 = 0 for r. -6 Solve 12 = -10*j + 13*j for j. 4 Solve -412 + 487 = 15*c for c. 5 Solve -170 = -366*k + 332*k for k. 5 Solve -12*d + 3*d - 18 = 0 for d. -2 Solve 5*f - 10 = -0*f for f. 2 Solve 58 = 8*z + 18 for z. 5 Solve 0 = -2*p + 29 - 23 for p. 3 Solve 79*f - 9 = 82*f for f. -3 Solve -12 + 27 = 5*p for p. 3 Solve 25*o = -5*o + 90 for o. 3 Solve -433*p = -434*p + 10 for p. 10 Solve o = -2*o + 15 for o. 5 Solve 0 = 7*a - 20 - 15 for a. 5 Solve 184 - 184 = 8*y for y. 0 Solve 0 = -6*c - 152 + 140 for c. -2 Solve 54*w - 478 = -154 for w. 6 Solve 5*m + 7 = -28 for m. -7 Solve 7*l + 50 = -3*l for l. -5 Solve -15*u - 124 = -154 for u. 2 Solve -12*s - 36 + 96 = 0 for s. 5 Solve 0 = 548*v - 537*v for v. 0 Solve -49*c + 24 = -57*c for c. -3 Solve -13 = 17*n - 64 for n. 3 Solve -6*g + 9*g - 15 = 0 for g. 5 Solve 4*q - 10 = -2 for q. 2 Solve 32*q - 107 = -75*q for q. 1 Solve -234*k = -207*k + 81 for k. -3 Solve -2*k - 144 = -38*k for k. 4 Solve -32*j = -80 - 176 for j. 8 Solve -37*n - 16*n + 212 = 0 for n. 4 Solve -74*a + 66*a = 0 for a. 0 Solve 8 = 3*v - 11*v for v. -1 Solve 21*j - 46*j = 0 for j. 0 Solve 35 = 24*v - 17*v for v. 5 Solve s = -12 + 16 for s. 4 Solve -33*x = -26 - 172 for x. 6 Solve 8*j + 6 = 2*j for j. -1 Solve m = -8 + 5 for m. -3 Solve -11*n = n - 60 for n. 5 Solve -z - 9 = -11 for z. 2 Solve -9*i + 294 = 33*i for i. 7 Solve -55 = 68*f - 57*f for f. -5 Solve 0 = 11*z - 5 - 72 for z. 7 Solve -19 = -15*l + 26 for l. 3 Solve 0 = 16*a - 51 + 99 for a. -3 Solve -5*r + 24 = -13*r for r. -3 Solve -17*n + 15*n + 6 = 0 for n. 3 Solve 28*v + 6*v = -102 for v. -3 Solve 0 = 9*x + 239 - 212 for x. -3 Solve 0 = -7*v + 7 for v. 1 Solve -13*p + 18 = -7*p for p. 3 Solve -2*u - 15 = -7*u for u. 3 Solve 9*x - 56 = -11 for x. 5 Solve -370*q = -380*q for q. 0 Solve -12 = l - 7 for l. -5 Solve 22 + 12 = 34*k for k. 1 Solve 6*p = 11 + 13 for p. 4 Solve 20 = -5*f - 5*f for f. -2 Solve 108 = -214*s + 241*s for s. 4 Solve 259 = -68*q + 55 for q. -3 Solve -7*i = 30*i - 74 for i. 2 Solve -19*s = -37*s + 126 for s. 7 Solve 26 = -33*n + 20*n for n. -2 Solve -22*g = 77 + 11 for g. -4 Solve 7*x - 9 = 61 for x. 10 Solve 0*c - 6 = 2*c for c. -3 Solve -20 + 4 = -4*a for a. 4 Solve 0*z = -15*z - 45 for z. -3 Solve 0*s = -9*s - 45 for s. -5 Solve -101*x + 32 = -93*x for x. 4 Solve -12 = 156*j - 153*j for j. -4 Solve -6 = 17*d - 14*d for d. -2 Solve -j + 57 = 50 for j. 7 Solve 2*c + 12 = 6*c for c. 3 Solve 0 = 21*s + 205 - 58 for s. -7 Solve -8*j - 296 = -256 for j. -5 Solve -213 + 103 = 22*o for o. -5 Solve 47 = 4*o + 27 for o. 5 Solve -11*c = 33 + 22 for c. -5 Solve -5*p + 251 = 256 for p. -1 Solve -7*c = -4*c + 9 for c. -3 Solve -9 = 2*g + 7*g for g. -1 Solve -50 = 11*p - p for p. -5 Solve -4*u + 9*u = 5 for u. 1 Solve -5*x + 4 = 24 for x. -4 Solve 6*s - 9*s = 21 for s. -7 Solve 0 = -53*f + 51*f for f. 0 Solve -110 = -3*l - 104 for l. 2 Solve 24*t - 108 = 42*t for t. -6 Solve 50*d = -55*d + 315 for d. 3 Solve 48*s + 54 = 57*s for s. 6 Solve 30 = 10*z - 20 for z. 5 Solve 17*i = -92*i - 218 for i. -2 Solve 9*s - 15*s = 6 for s. -1 Solve -28*i - 73 = 11 for i. -3 Solve 0 = 3*w - 6*w - 6 for w. -2 Solve -3 = 21*i + 102 for i. -5 Solve -576*q = -571*q for q. 0 Solve k + 6 = 8 for k. 2 Solve 0 = -8*x + 23 + 1 for x. 3 Solve 33*j + 40 = 53*j for j. 2 Solve 69 = 53*x + 334 for x. -5 Solve -6*m + 6 = -4*m for m. 3 Solve 13*i = -41*i + 2*i for i. 0 Solve 15*u + 28 = -62 for u. -6 Solve 500*t + 30 = 505*t for t. 6 Solve -15*d = -13*d + 4 for d. -2 Solve 17 - 27 = -10*w for w. 1 Solve 4*i - 15 + 3 = 0 for i. 3 Solve 3793 - 3841 = 12*u for u. -4 Solve -77*g + 98 = -91*g for g. -7 Solve -13*u + 4 = -17*u for u. -1 Solve 6*v = -0*v + 6 for v. 1 Solve 0 = -80*x - 498 - 62 for x. -7 Solve -6*q + 6218 - 6200 = 0 for q. 3 Solve 2*a - 29 = -25 for a. 2 Solve -32*v = -40*v - 16 for v. -2 Solve 10*g = -0*g - 30 for g. -3 Solve 5 = 5*a + 25 for a. -4 Solve 0 = 3*g - 5*g + 14 for g. 7 Solve -17*j + 9*j + 8 = 0 for j. 1 Solve 0 = -5*h + 14 - 29 for h. -3 Solve -6*m = 6*m + 12 for m. -1 Solve 13*i + 4*i + 68 = 0 for i. -4 Solve 10*y - 4*y = -24 for y. -4 Solve -18*z - 68 = -52*z for z. 2 Solve 16 = 9*k - 65 for k. 9 Solve 96 = -10*v + 186 for v. 9 Solve 0 = -5*w - 3 + 23 for w. 4 Solve -26*t + 6 = -24*t for t. 3 Solve 38*j = 188 + 192 for j. 10 Solve -103*t + 259 = 53 for t. 2 Solve 0 = -9*a + 19 + 26 for a. 5 Solve 5*t + 8 + 12 = 0 for t. -4 Solve 4 = -15*v + 19*v for v. 1 Solve -z + 17 = 16 for z. 1 Solve -349 - 434 = 87*v for v. -9 Solve 77*z - 60*z + 68 = 0 for z. -4 Solve 17*l - 10*l - 21 = 0 for l. 3 Solve -51*c + 44*c = 35 for c. -5 Solve 186*h - 185*h + 5 = 0 for h. -5 Solve -31*d = -27*d + 16 for d. -4 Solve 0 = 18*z - 20*z - 2 for z. -1 Solve -11 = 14*m + 87 for m. -7 Solve 17 = 7*i - 11 for i. 4 Solve 0 = 281*u - 127*u - 770 for u. 5 Solve -36*c = -29*c - 42 for c. 6 Solve 25*i + 104 = 29 for i. -3 Solve 12 = 3*g - 0 for g. 4 Solve 6*y + 0 - 24 = 0 for y. 4 Solve 1263*p - 1268*p - 5 = 0 for p. -1 Solve 10*m + 154 = 84 for m. -7 Solve -14*l - 280 = -54*l for l. 7 Solve 179*c + 194 + 164 = 0 for c. -2 Solve 410*l + 30 = 400*l for l. -3 Solve -106*a + 158*a = -416 for a. -8 Solve x + 6 = -x for x. -3 Solve 9*s - 18*s = -36 for s. 4 Solve -3 - 107 = -22*d for d. 5 Solve 20*z = 25*z + 20 for z. -4 Solve 0 = -34*q - 120 + 358 for q. 7 Solve 0*x - 1 = x for x. -1 Solve -4*o = -146 + 162 for o. -4 Solve -5*b - 4 = -6*b for b. 4 Solve 0 = 8*q - 2*q + 4*q for q. 0 Solve 147*t = 151*t - 8 for t. 2 Solve -7*t - 20 = -2*t for t. -4 Solve 2*y - 7 + 7 = 0 for y. 0 Solve 7*y - 37 = -107 for y. -10 Solve -23*v - 90 = -8*v for v. -6 Solve 19*c - 29 = -162 for c. -7 Solve 7 = 4*i - 1 for i. 2 Solve -42*i - 42 = -35*i for i. -6 Solve -3*x - 9 = 6 for x. -5 Solve 23*b + 5 = 28*b for b. 1 Solve -118*t = -115*t for t. 0 Solve -34*q + 56*q + 44 = 0 for q. -2 Solve -10 - 6 = 4*k for k. -4 Solve 41 = 4*z + 57 for z. -4 Solve 6*g = g for g. 0 Solve 4*s = -9*s - 26 for s. -2 Solve -44 = -22*i - 110 for i. -3 Solve 41*w = -8*w - 245 for w. -5 Solve -70*q - 28 = -42*q for q. -1 Solve -64 = -13*g - 90 for g. -2 Solve -528 = 77*b + 11*b for b. -6 Solve 15*s - 18*s = -12 for s. 4 Solve -758*m + 773*m = -75 for m. -5 Solve 2*l + 108 = 92 for l. -8 Solve 22*h + 12*h - 68 = 0 for h. 2 Solve -114*a + 117*a = -6 for a. -2 Solve 158 = -4*p + 162 for p. 1 Solve -12 = 761*c - 749*c for c. -1 Solve -4*v + 5 = -3 for v. 2 Solve 0 = 49*y - 55*y + 6 for y. 1 Solve -98 - 49 = -21*r for r. 7 Solve 33*o + 9 = 36*o for o. 3 Solve 62*k - 44 = 51*k for k. 4 Solve 0 = -78*l + 76*l + 8 for l. 4 Solve -18*r - 9 = 9 for r. -1 Solve -5*u + 2*u = -2*u for u. 0 Solve -5 = -x - 0 for x. 5 Solve -57*r + 59*r - 2 = 0 for r. 1 Solve 502*k - 507*k + 15 = 0 for k. 3 Solve -2*b - 8 + 14 = 0 for b. 3 Solve -20 + 4 = -4*a for a. 4 Solve 32*a + 5 + 91 = 0 for a. -3 Solve 0 = -68*g + 149 + 55 for g. 3 Solve 305*y - 303*y = -
{ "pile_set_name": "DM Mathematics" }
15*s + 245 = 4475. What is the units digit of s? 2 Let t(b) = -5*b + 3. Let o be t(-3). Let i be (o/2)/(6/4). Suppose 2*y + 2*m - 18 = 0, 4*y - 3*m - i = 9. What is the units digit of y? 6 Let t = 1 + 1. Suppose t*y - 2 = 12. What is the units digit of y? 7 Suppose -2*o + 3 = -5*o. Let q be ((-1)/3)/((-1)/9). Let s = q + o. What is the units digit of s? 2 Let p = 109 + -53. Suppose j - 5 = 4*g - 0, p = 4*j - 4*g. What is the tens digit of j? 1 Let s = 9 - 49. What is the units digit of 32/s*(-30)/4? 6 Let c(r) = 3*r**2 - 3*r - 4. What is the tens digit of c(4)? 3 Let t = 8 + -5. Suppose 8*l - 50 = t*l. What is the tens digit of l? 1 Suppose 2*u - 5*p = 35, -3*p + p = -u + 15. Let n be (6/(-4))/(3/(-4)). Suppose -u*k = -n*k - 45. What is the tens digit of k? 1 Suppose 5*c - p - 452 = 0, 4*p = -c + 56 + 26. What is the units digit of c? 0 Let o(u) = 2*u**3 - 3*u**2 + 3*u + 3. What is the units digit of o(4)? 5 Let k be (-6)/(-15)*15/3. Suppose -16 = k*x - 2. Let j = 2 - x. What is the units digit of j? 9 Let q = 332 - 189. What is the tens digit of q? 4 What is the tens digit of ((-15)/6)/((-2)/20)? 2 Let y(r) be the second derivative of r**5/20 + 5*r**4/6 + r**3/6 + 6*r**2 + 2*r. Let l be y(-10). Suppose 0 = -l*b + 21 - 5. What is the units digit of b? 8 Let a(n) = -3*n - 4. Let m be a(-3). Let x(t) = -t**3 + 6*t**2 - 4*t + 6. What is the units digit of x(m)? 1 Let p(x) be the first derivative of x**4/4 - 7*x**3/3 - 9*x**2/2 + 9*x + 3. Let z be p(8). What is the tens digit of 5 + -6 - (-17 - z)? 1 Let i = -4 - -9. Suppose 3*d - i*d - 12 = 0. Let w = -4 - d. What is the units digit of w? 2 Suppose 2*u = -3*u. Suppose 0*v - v - 1 = u. What is the units digit of (-3)/6*(-9 - v)? 4 Let d = -356 + 774. What is the units digit of d? 8 Let b(p) be the second derivative of -p**5/120 + p**3/3 - 2*p. Let m(g) be the second derivative of b(g). What is the units digit of m(-1)? 1 Let l be 2/((-1)/(-1 + 0)). Suppose z + a - 11 = -l*a, -19 = -5*z - 3*a. Suppose -v + z + 2 = 0. What is the units digit of v? 4 Suppose 17 = 2*o - 5. Let i = 15 - o. What is the units digit of i? 4 Suppose -5*g + 15 = -5. Suppose 0*d = -g*d + 192. What is the tens digit of d? 4 Let w(x) = x - 5. Let v(u) = 1. Let a(d) = 4*v(d) + w(d). Let m be a(-8). What is the units digit of 56/9 + 2/m? 6 Suppose 0 = 3*c + 2*c - 25. Suppose c*b = g + 2*b - 21, 13 = g + b. What is the tens digit of g? 1 Suppose 4*p + 5*o = 75, 4*o + 48 = -p + 5*p. Let m = 11 - p. Let x = 6 + m. What is the units digit of x? 2 Suppose 0 = -5*m + 1648 + 672. What is the hundreds digit of m? 4 Let d(p) = p**2 + 4*p + 4. Let k be d(-7). Let f(q) = -15*q - 1. Let y be f(1). Let x = k + y. What is the units digit of x? 9 Let c(o) = -9*o - 13. What is the units digit of c(-3)? 4 Let l(d) = -2*d**3 + 2*d**2 - d + 2. Let x = 7 + -5. Let y be l(x). Let c(q) = q**2 + 9*q + 12. What is the units digit of c(y)? 4 Suppose 1 = 4*n + g + 26, g = 5*n + 29. Let c(p) = -p**3 + 6 - 2*p**2 + 3 + 6*p - 3*p**2. What is the units digit of c(n)? 9 Let h be ((-4)/6)/(10/(-45)). Suppose h*b = 44 + 4. What is the tens digit of b? 1 Let c be 1 - 2/(-2) - -2. What is the units digit of (-15)/((c - 6) + 1)? 5 Let i = 7 + -10. Let h(d) be the first derivative of -d**2/2 - 2*d + 1. What is the units digit of h(i)? 1 Let b(d) = -d**3 - 16*d**2 + 10*d + 20. What is the hundreds digit of b(-17)? 1 Let g(q) = q**3 - 8*q**2 + 6*q + 7. Let r be g(7). Suppose v - 2 - 3 = r. What is the units digit of v? 5 Let q be -1 - -18 - (0 - -2). Suppose -s + 6*s - q = 0. Suppose 0*r = s*r - 6. What is the units digit of r? 2 Suppose -1454 = -6*a - 92. What is the tens digit of a? 2 Let z(s) = s**3 + 6*s**2 + s + 4. Let n be z(-6). Let i be n/3 - (-122)/3. Suppose -6*g + i = -g. What is the units digit of g? 8 Suppose 0 = -w - 0*w + 43. What is the tens digit of w? 4 Suppose -54 = -a - 0*a. What is the units digit of a? 4 Let d be ((-6)/(-5))/(9/30). Let b = -3 + d. What is the units digit of b? 1 Suppose 0*k + 2 = 2*k. Let g(b) = -2*b**2 - b. Let l be g(k). What is the units digit of 3/(l/(-1)) + 9? 0 Suppose -4*z + 16 = -2*y, 0 = z - 5*y - 13 - 0. What is the units digit of z? 3 Let s be (-1)/(1/(-7)) + -1. Suppose 3*m - s = -0*m. Suppose -i - 2*i - 5*v = -34, 5*i - 5 = m*v. What is the units digit of i? 3 Let q be 92/(-3)*(-6)/(-4). Let x = q - -80. Let n = 47 - x. What is the tens digit of n? 1 Suppose -3*q = -7*q + 732. What is the hundreds digit of q? 1 What is the tens digit of (0 + 67)*(-1 - -2)? 6 Suppose -2*s = 4*q - 13 - 13, -3*q = 3*s - 39. Let g = s + -9. What is the units digit of g? 4 Let h(b) = -b**2 + 4*b + 6. Let s be h(7). Let y = -11 - s. Suppose 20 + 8 = y*f. What is the units digit of f? 7 Suppose -3*a - 5*g = 2*a - 25, -5*a = -3*g - 1. Suppose a*q = -6, -7 = -3*u + 2*u - q. What is the units digit of u? 0 Let r(h) = -h**3 - h**2 - 16. Let j be r(0). Let f = j + 51. What is the units digit of f? 5 Suppose -4*v - 2*o - 26 = 0, 3*o + 4 = -o. Let p be (-8)/v - (-4)/6. Suppose 2*i - p + 0 = 0. What is the units digit of i? 1 What is the units digit of (0 + (1 - -29))*(-2)/(-5)? 2 Let w(s) = -s + 5. Let f be w(4). Let q be (21/(-35))/(f/(-35)). Suppose 3*z = q + 12. What is the units digit of z? 1 Suppose w + 159 = 3*q, -3*w + 4*w - 165 = -3*q. Suppose 5*d - 1 = -6. What is the tens digit of d/(q/(-51) - -1)? 1 Suppose 0 = -4*h + 2*h + 46. Let n = 0 + 0. Suppose 5*d - 22 - h = n. What is the units digit of d? 9 Suppose 0 = 3*j - 5*i - 64, -2*i = -4*j + 3*j + 23. What is the units digit of j? 3 Let q(i) = -4*i + 2. Suppose 0 = 3*m + 4*h - 25, m - 3*h + 21 = 4*m. Suppose 10 = -m*t - 5. What is the units digit of q(t)? 2 Let y(c) = -21*c + 3. Let z be y(5). What is the units digit of (z/(-8))/(15/40)? 4 Let l = 30 + -25. What is the units digit of l? 5 Let a be (12/(-3))/((-1)/4). Suppose 0 = -4*q + 40 + a. Let n = q - 0. What is the units digit of n? 4 Suppose -36 = 2*f + 5*u - 130, -254 = -5*f - 3*u. What is the units digit of f? 2 Suppose -p - 50 = -3*u, -u - 3*p + 20 = -0*u. Suppose 0 = -g + u - 4. What is the units digit of g? 3 What is the units digit of -2*2/(-3)*3? 4 Let o(h) = h**2 + 12*h - 18. Let z be o(-14). Suppose -z = 4*n - 154. What is the tens digit of n? 3 Let t be (-81)/(-6) + (-2)/(-4). Let q = t + -4. What is the tens digit of q? 1 Let y(z) = 2*z**2 + 7*z - 2. Suppose 5 = -2*f + f. What is the units digit of y(f)? 3 Let c(z) = z**3 + 6*z**2 - 3*z - 2. Suppose -4 = -2*g - 16. What is the units digit of c(g)? 6 Let a = 81 - 43. What is the tens digit of a? 3 Suppose -x - 4*x - 184 = -2*i, -4*i + 368 = 4*x. What is the units digit of i? 2 Let y(b) = 4*b + 2. Let l(h) = 3*h + 2. Let v(g) = -3*l(g) + 2*y(g). What is the units digit of v(-5)? 3 Suppose -4*t + 38 = -50. What is the units digit of (-1)/2 + t/4? 5 Let b be (1 - 2)*-9 - -3. Let g(i) = -i + 22. What is the tens digit of g(b)? 1 Suppose u + 8 = 3*u, -z = 4*u - 118. What is the hundreds digit of z? 1 Let q = 50 + -21. What is the units digit of q? 9 Suppose q = f + 4*q - 54, -2*q - 270 = -5*f. What is the units digit of f? 4 Suppose n + 48 = 4*v, -57 = n - 3*v - 6. What is the units digit of ((-14)/(-35))/((-2)/n)? 2 Let b(k) = 3*k**3 - 1. Let o be b(1). Suppose l + 4*a = 14 + 8, 4*a = -3*l + 26. Suppose -o = -0*r - l*r. What is the units digit of r? 1 Suppose 0 = 6*d - 5*d - 39. Suppose 2*r + 100 = -2*r. Let y = d + r. What is the units digit of y? 4 Suppose d - 1 = 116. What is the hundreds digit of d? 1 Let u = 10 + -19. Let l(r) = 3*r**3 - 8*r**2 + 5*r - 12. Let a(s) = -5*s**3 + 16*s**2 - 11*s + 23. Let d(o) = 4*a(o) + 7*l(o). What is the units digit of d(u)? 8 Let h = -8 - -13. Suppose -h = 2*u - 21. What is the units digit of u? 8 What is the units digit of -3 - -1*3*30/9? 7 Suppose -9*t + 5*t = -20. Suppose -m - 192 = -t*m. Suppose 2*c = 2*z + 2*z - m, -2*z + 18 = -4*c. What is the units digit of z? 3 Suppose 0 = -3*h + 142 + 23. Suppose 3*u + 4*q - h = 0, -3*q = -u - 7*q + 13. What is the tens digit of u? 2 Let o = -3 + 6. Let s be (-3)/(14/4 - 2). What is the units digit of s/3 + 20/o? 6 Suppose -3*m = -s + 284, m - 10 = -m. What is the tens digit of s? 9 Suppose 3*j + u - 61 = -0*u, -j - u + 19 = 0. What is the tens digit of j? 2 Let c = 12 + -3. Suppose c -
{ "pile_set_name": "DM Mathematics" }
the third biggest value? (a) -1/7 (b) -1/6 (c) -0.0912964 b What is the fifth smallest value in -2/11, 0.09, -2/37, -0.2, -124, 0.4, 2? 0.09 Which is the smallest value? (a) 0.04 (b) 2/7 (c) -2/5 (d) 2 (e) 865.68 c What is the fourth smallest value in 0.6, 328, 2/9, 5, -4/7? 5 Which is the smallest value? (a) 0.19121 (b) -6.9 (c) 3/10 b What is the biggest value in -17, 12, -830, 10? 12 Which is the third biggest value? (a) -1.058 (b) -2/1661 (c) -0.4 (d) -2/7 c Which is the second smallest value? (a) -6 (b) 5 (c) -1/3 (d) 3100 (e) -0.4 e What is the second biggest value in 0, -1, -8, -1068, 1/8? 0 What is the fourth smallest value in -130, -1/197, 1, 14, -14? 1 What is the fourth biggest value in -4, 3, -12640, -2, 4.02, -0.4, -1? -1 What is the biggest value in 0.4, -1814, 2/255, -1.1? 0.4 Which is the third biggest value? (a) 3 (b) 13/20 (c) 8 (d) 5 (e) 124/7 d What is the smallest value in -1, -13569/8, -5? -13569/8 What is the fourth biggest value in -0.5, 630, -4, 7, -1/6, -5/3, -0.51? -0.5 What is the third smallest value in -20/77, 4.19, 0.5, -4, 14? 0.5 Which is the fourth smallest value? (a) 1/132 (b) 0.07 (c) 0.1 (d) 2/13 (e) 4/9 (f) -3 c What is the third biggest value in -0.2, 191, -124774? -124774 Which is the second biggest value? (a) 0.04121 (b) -8 (c) 299 a What is the third biggest value in 5, -6/2903, 2690? -6/2903 What is the third biggest value in 94, -0.1, -1, -31, 17, 0.11? 0.11 What is the second smallest value in -35, -6588, 0.1, -241? -241 Which is the fourth biggest value? (a) 0 (b) 2228 (c) -10 (d) -9/23 c Which is the second smallest value? (a) -1 (b) 110923 (c) -3 (d) -4/15 a What is the third smallest value in -3, 14, -0.194, 1/3, 2/9, -0.06, -0.4? -0.194 What is the fifth smallest value in 6, 27, 193, 0.2, 2/11, 2/15? 27 What is the biggest value in 1690, 1/18, -10974? 1690 What is the smallest value in 5, -21, 854.3, 4? -21 What is the fifth smallest value in -0.4, 0.3, 0.032, -2/7, 2.97? 2.97 What is the third smallest value in -5, -1, -311, -3, 4, 17, -1/10? -3 What is the fifth smallest value in -18, 0.049, -116, 1/7, -1/9? 1/7 What is the smallest value in 0.2, -2/3, 7, 52, 136/19, 1? -2/3 Which is the third smallest value? (a) -0.5 (b) 93 (c) -1 (d) 2.08 (e) -10 a What is the fourth biggest value in -0.3, 1/2, 65.72978, 2/9? -0.3 Which is the second biggest value? (a) 4 (b) 0.314 (c) -56 (d) -94 (e) -2/9 b What is the fourth smallest value in -2/3421, -1/4, -1/3, -98/11? -2/3421 Which is the second biggest value? (a) 97 (b) -2 (c) -1.7 (d) 1/4 (e) 179119 a Which is the biggest value? (a) -3 (b) 0.57 (c) -1/6 (d) 2518 (e) -25/2 (f) -0.4 d Which is the fourth biggest value? (a) 0 (b) 7825 (c) 1 (d) -124.2 d Which is the third biggest value? (a) -1/5 (b) -6 (c) 0.5 (d) 2 (e) 18.4 (f) -38 (g) -13/5 c What is the third smallest value in -3/1326601, 1, -1, 0.09? 0.09 Which is the fourth smallest value? (a) -3 (b) -33 (c) 2 (d) 1183 d Which is the fourth biggest value? (a) 2383.03 (b) -2/17 (c) 0.08 (d) -0.5 (e) -1 d Which is the third biggest value? (a) -2/5 (b) 0.08 (c) -3/1564 (d) 8/7 (e) 0.04 e Which is the sixth smallest value? (a) 5/6 (b) -22550 (c) 3 (d) -2/5 (e) 0.4 (f) -1 c Which is the third smallest value? (a) 3 (b) 1/2 (c) 5 (d) 0.174665 (e) -2.2 b What is the seventh biggest value in 11, -1, 5/16, -24.78, 1, -4, -2/5? -24.78 What is the second smallest value in -1, 0.14, -15, 1/7, 1.6, -3? -3 What is the fourth smallest value in 2/5, -0.4, -2/13, -3053, 14? 2/5 What is the sixth biggest value in 2/5, -4, 139/35, 15, 2/9, 0.3? -4 Which is the third smallest value? (a) 3 (b) 4/5 (c) -3/2 (d) -3/19 (e) 2/7 (f) -0.38 (g) 0.5 d Which is the biggest value? (a) 3 (b) 12 (c) 18 (d) 0.4 (e) -0.0113 (f) -4 c What is the fourth biggest value in -13/3, -11254, 8, 0? -11254 What is the sixth smallest value in -4, 5, -2, -1/4, -24949, 3/7? 5 Which is the smallest value? (a) 1/2 (b) 12636 (c) 91/6 a What is the biggest value in 77, -1438.1, -5? 77 Which is the biggest value? (a) 2/3 (b) -2 (c) 7.61 (d) -0.2 (e) -86.59 c Which is the second smallest value? (a) 1.5 (b) 100 (c) -8653 (d) 0 d What is the fourth biggest value in -161, 2/85, -0.4, -0.11? -161 Which is the second biggest value? (a) -7 (b) 5 (c) -2 (d) -2/5 (e) 0.2 (f) -8682 e What is the biggest value in 3, 3355/19, 402? 402 What is the fourth smallest value in -12, 4/9, -5, 0.683, 1.2, -2/9? 4/9 Which is the sixth biggest value? (a) -4.281 (b) -26 (c) -3 (d) 2 (e) 0.5 (f) -0.3 b Which is the smallest value? (a) 3 (b) -2.4454 (c) 5 (d) 0.01 b Which is the fourth smallest value? (a) -2332 (b) 23 (c) 2/3 (d) -16 (e) 0 (f) 0.4 f What is the smallest value in -52.22, -4/7, 3, 0.11, 4? -52.22 What is the third biggest value in 1, 4/7, -0.1, 5/2, -4, 18.4? 1 What is the sixth biggest value in -55/6, 2/11, 0.0142, -3/44, 0.3, -4, -5? -5 Which is the third smallest value? (a) -1/8 (b) 5/3 (c) 2168 (d) 5/4 (e) 0.06 (f) -3 (g) -2/5 a What is the fourth biggest value in 0.1, -3, -0.8, 0.7, 200/9, -0.17? -0.17 Which is the second biggest value? (a) 53 (b) -1/71 (c) 8.6 (d) 5 c Which is the third smallest value? (a) -0.3 (b) -6 (c) 3 (d) 0.329 (e) -64 a Which is the third smallest value? (a) 243/5 (b) 0 (c) -8552 a Which is the third smallest value? (a) 19/4 (b) -2/7 (c) 21 (d) -0.1 (e) -0.00304 (f) 5 (g) -5 d Which is the third smallest value? (a) -2.38 (b) 23 (c) -3 (d) 0.2 (e) -5 (f) 3.2 a Which is the seventh biggest value? (a) -4 (b) -3 (c) 9.3 (d) 2/23 (e) -0.2 (f) -1/3 (g) -8 g What is the fifth biggest value in 2, 1.52, 4.78, -1/4, -2, 8? -1/4 What is the smallest value in 0, 3, -7/123849? -7/123849 Which is the seventh biggest value? (a) 2/5 (b) -5 (c) -3/2 (d) -4 (e) 0.0165 (f) 3/7 (g) 1.09 b Which is the second biggest value? (a) -178262623 (b) -2 (c) 4 b Which is the third biggest value? (a) -114 (b) -0.386 (c) 4/5 (d) 4 (e) -0.4 (f) -1/3 f Which is the fifth smallest value? (a) -1/3 (b) -31811 (c) 3 (d) 2.6 (e) -0.2 c Which is the third smallest value? (a) 0.101 (b) 2/5 (c) -1/9 (d) -616 (e) -5/2 (f) -0.5 f What is the fourth biggest value in 3, -10/3, 0.94, 1/8, -1/3, 4? 1/8 Which is the fifth biggest value? (a) -2/13 (b) 0 (c) 4/5 (d) -0.4 (e) -8 (f) -24 e What is the fourth smallest value in -58, -4, 0.5, 2.4, -2/5183? 0.5 What is the smallest value in 97/2, 61, -819? -819 What is the third smallest value in -5.45, 1, 246? 246 What is the second biggest value in 19, 1/6, -6.1, 0, -0.3, 4, 1/3? 4 What is the fifth biggest value in -0.1, 18/199, 1, 12, 0.03, 0.1? 0.03 What is the fifth biggest value in 6.5, 3/5, 12223/4, -0.1, 4? -0.1 What is the fourth smallest value in -0.5, -0.0025, 32/9, -5, 0.4? 0.4 Which is the third smallest value? (a) 4/3 (b) -0.5 (c) -384 (d) -3/8 (e) -12.2 (f) 0.3 b Which is the biggest value? (a) 1 (b) -181 (c) 4 (d) -22 (e) 2 (f) -0.2 c Which is the second smallest value? (a) 5 (b) 31346 (c) 65 c What is the third smallest value in 43407, -6.1, -0.2? 43407 What is the smallest value in 16/7, -12, 257, 3.5? -12 Which is the third biggest value? (a) -25/7 (b) -3201 (c) -68 b What is the fourth biggest value in -3, -294, 0.5, -2010.85? -2010.85 What is the sixth biggest value in -4, -65, 14, 2/7, -13, 0.4, 0.3? -13 Which is the second biggest value? (a) 1 (b) -0.052 (c) 12369 (d) -1.6 a Which is the biggest value? (a) -5 (b) 1 (c) -28593785 b What is the third smallest value in -56, -4, -2.1, -1, -0.2, -72? -4 What is the sixth biggest value in 7, -0.3, -2/3, 60, -20, 2, 0.1? -2/3 What is the fifth biggest value in -0.19, -0.3, -1, -4, 1, 5347, -0.2? -0.3 What is the smallest value in 0.1, 448, 0, -1/7, -3/239, 5, 0.2? -1/7 What is the biggest value in 0.13, -0.2, 2/59, 22, 0.1, 5, -5? 22 Which is the third smallest value? (a) 201.7 (b) 5 (c) -3/5 (d) 3/7 (e) -9 d Which is the fourth smallest value? (a) -25 (b) -6 (c) 5 (d) 2/37 (e) -49 (f) -3/2 f Which is the fourth biggest value? (a) 6 (b) -1 (c) -5 (d) 16.2 (e) 1/2 (f) 0 (g) -0.09 f What is the smallest value in -0
{ "pile_set_name": "DM Mathematics" }
)/4332) + -1. Let t = x - 271. Sort t, -2, 1/4. -2, t, 1/4 Let n be ((-76)/(-95))/(2/10). Sort 0, 3, n. 0, 3, n Let t = 0 - -0.1. Let o = -0.53 - 0.07. Let l = 0.4 + o. Put 5, t, l in ascending order. l, t, 5 Let b(y) = y + 5. Let q(j) = -2*j + 18. Let o be q(12). Let u be b(o). Put -2, u, 5 in ascending order. -2, u, 5 Let q = -1 - -3. Let j = -11.6 - -7.3. Let w = j + 4. Put q, w, -3/4 in descending order. q, w, -3/4 Let k(x) = -x**2 + 6*x + 4. Let o be k(6). Let b be 1*-5 + (-6)/(-3). Suppose 0 = -5*v + 6 - 26. Put b, v, o in ascending order. v, b, o Let q = -6 + 7. Let k be (-4)/6*9/(-6). Let s be (k - (-16)/10) + -2. Sort s, q, 5. s, q, 5 Suppose -3*h - 4 = -b + 5*b, 3*b = h - 16. Let l be (-15)/(-9) + h/(-6). Let x(w) = -w**2 + 1. Let g be x(-1). Put g, l, 3 in descending order. 3, l, g Let n = -36.7 - -37. Suppose 4*d + 3*u = 8, d + 2*u = 3*u - 5. Sort d, 0, n. d, 0, n Let s = 1.9 + -2.4. Sort 3, s, 1. s, 1, 3 Let v = 0.3 - -3.7. Let f = 1.99 + -2. Let l = f - 4.99. Put l, v, 0.2 in decreasing order. v, 0.2, l Let n = -15 - -14.3. Let d = -0.9 - n. Let l be 6/(-15) - 1/(-15). Sort d, -1, l. -1, l, d Let c = -2/1341 - 8024/14751. Sort -4, 0.3, c in ascending order. -4, c, 0.3 Let y = -169 - -164. Let x be (1/2)/(3/4). Put x, 0, y in increasing order. y, 0, x Let t = 5 + -10. Suppose 5*y + 11 - 21 = 0. Put y, t, 3 in descending order. 3, y, t Let y = -6 + 4. Put 7, 0, y in decreasing order. 7, 0, y Let w = 4.6 + 14.4. Let k = w - 9. Let z = k + -7. Put -0.1, 3/5, z in ascending order. -0.1, 3/5, z Suppose 3*a - 32 = 4*l, -4*a - 2*l + 21 = -3*l. Suppose 0 = -a*i + i - 3. Let m be (i/(-6))/(4/6). Sort m, 2/7, 1 in descending order. 1, 2/7, m Let f be (6*(-12)/40 - -2)*-2. Let t be (-1)/5 - 23/(-65). Let h = -1.8 - -2. Sort t, h, f in decreasing order. h, t, f Let c = 5 + -4. Put -11, c, 2 in ascending order. -11, c, 2 Suppose -y - 10 = -3*y. Let f(s) = s + 9. Let g = -23 - -17. Let r be f(g). Put 3/4, r, y in descending order. y, r, 3/4 Let m = -92 - -100. Sort -3, 0, m, 4. -3, 0, 4, m Let s = 27 + -29. Put s, -2/7, -0.1 in descending order. -0.1, -2/7, s Suppose -3*w - 14 = -3*o + 2*o, 20 = -5*w. Suppose a - 10 = -3*i, -a = 2*i - 3*a - 4. Put o, -1, i in decreasing order. i, o, -1 Let s be (-16 + 20)/(-5 + 0). Let d(f) = f - 5. Let r be d(6). Sort -0.3, r, s in descending order. r, -0.3, s Suppose c - 4*t = -6*t - 6, c = t. Suppose 0*q - 1 = q. Sort c, -3, q in decreasing order. q, c, -3 Let m = -51 - -52.04. Let i = m - 0.04. Put -2/3, -0.4, i in decreasing order. i, -0.4, -2/3 Let z = -0.08 - -0.08. Let q = -1 - z. Put -5, q, 1/2 in descending order. 1/2, q, -5 Let o = -595/4 - -150. Sort -7, -0.2, o in increasing order. -7, -0.2, o Let q = 156/5 - 32. Put q, -3, -2/7, 6/11 in descending order. 6/11, -2/7, q, -3 Let b(r) = -2*r + 7. Let j be b(8). Let o = 5 + j. Sort -3, -2, o in increasing order. o, -3, -2 Let y be 1/1*(1 + 1). Suppose -5*i = -y*i - 9. Sort 4, i, -4 in increasing order. -4, i, 4 Suppose 1 = -3*n + 7. Suppose l - 1 = -a, 0 = 3*a - 2*l + n - 5. Sort 1/5, -3, a in ascending order. -3, 1/5, a Let b(w) = -2*w + 2*w - 2 + 0 - w**2 + 5*w. Let t be b(2). Put 5, 2, t in decreasing order. 5, t, 2 Suppose 0*l = 4*j - l - 68, l = 0. Let k = j - 14. Sort 1, -5, k. -5, 1, k Suppose -6*s - 4*a + 27 = -s, 5*s - 6 = 3*a. Sort s, -8, 1 in ascending order. -8, 1, s Let n = -244/195 + 2/39. Let b = 1.17 + -8.87. Let m = b - -8. Sort n, m, 2/15 in descending order. m, 2/15, n Let k(f) = f - 6. Let c be k(5). Suppose 2*m + 2 + 16 = 2*h, -3*m = -5*h + 37. Sort 2, h, c in descending order. h, 2, c Let a = -8 + 11. Put -1/8, a, 0.4 in ascending order. -1/8, 0.4, a Let d = -0.24 + -0.26. Put -6, 0.1, d in decreasing order. 0.1, d, -6 Let s = 0 + 5. Let y = 19.6 + -20. Sort 0, y, s in decreasing order. s, 0, y Let p = 7 + -8. Let y(i) = i**2 - 2*i. Let m be y(2). Sort m, p, 5 in ascending order. p, m, 5 Let d = -0.37 - -3.57. Let y = d - 3. Put -2/15, 2, y in decreasing order. 2, y, -2/15 Suppose f + 4 = -f. Let w be f*5*1/(-2). Sort w, 3, -4 in decreasing order. w, 3, -4 Let l = 1 - -4. Suppose l*r = 4*x - 3*x + 4, 4*x = 3*r - 16. Let a = -28 + 26. Sort a, r, -4 in decreasing order. r, a, -4 Let q = 0.05 - -2.94. Let d = 0.01 + q. Let h = -2 + 2.5. Put d, 5, h in ascending order. h, d, 5 Let r(w) = -w**2 + 5*w - 8. Let n be r(4). Sort 5, 0.5, n. n, 0.5, 5 Suppose -12 = -k - 2*k. Let f(c) = -8*c**2 + 1. Let n be f(-1). Let a = n + k. Sort -1/3, a, -0.4 in increasing order. a, -0.4, -1/3 Let p be (-6)/8*(-20)/3. Sort p, 4, -4 in descending order. p, 4, -4 Let l = -1 - -1.5. Let o = 8 + -3. Sort o, -2, l in descending order. o, l, -2 Let t be 0 + (-1 - 0) + 3. Sort 0.1, t, -3/2 in increasing order. -3/2, 0.1, t Let y = -22 + 22. Sort 1/6, -1/2, y. -1/2, y, 1/6 Let c = -0.3 + 10.3. Let n = c + -9.8. Sort 3/4, n, -2/15 in descending order. 3/4, n, -2/15 Suppose 4*a - 1 + 21 = 0. Let g(k) = k**3 + 4*k**2 + 4*k. Let s be -5 - (-2 + 0 - 0). Let q be g(s). Sort q, 1, a. a, q, 1 Let w = 24 - 16. Suppose 0 = -2*b - 0*b - w. Put b, -1, 5 in descending order. 5, -1, b Let z be (42/11)/1 - 12/(-66). Sort z, 6, 5 in increasing order. z, 5, 6 Let a(b) = -b**3 + 5*b**2 + b - 6. Let v be a(5). Put v, -2, 4, -3 in ascending order. -3, -2, v, 4 Let z = -11 + 17. Let x be 1 - 0 - 30/z. Sort x, -1, 4. x, -1, 4 Let p be 28/45 - (-6)/(-15). Put p, -0.3, -4 in descending order. p, -0.3, -4 Suppose 0 = 2*k - 4 + 8. Let z be (-2)/((24/15)/(-4)). Sort k, -5, z in decreasing order. z, k, -5 Let f(u) = u - 20. Let b be f(11). Put b, -2, 4, 0 in descending order. 4, 0, -2, b Suppose -2*g - 3*z = 17, -2*g = -2*z - 2 + 4. Suppose 2*n - 5*j + 5 = 0, n - 3*j = -3*n - 3. Put 1, n, g in ascending order. g, n, 1 Let y(m) = -m**3 - 2*m**2 + 3*m + 4. Let z be y(-4). Suppose 3*s - 4*s - 3*i = 18, 3*i + z = -3*s. Sort -13, s, -5. -13, -5, s Let u(f) = 22*f - 1. Let t be u(-4). Let b be 2/10 - t/5. Let x be 9/18*(-8)/b. Sort -1, -4, x. -4, -1, x Let j be (-2)/(-4) + (-14)/(-4). Let w be (-64)/(-110) - 4/10. Let r = -2.1 + 2. Sort j, w, r in descending order. j, w, r Let h = 2.9 - -1.1. Let n = 39 - 43.1. Let g = n + h. Sort -2/11, g, 5. -2/11, g, 5 Let p = 15.4 - 14. Let f = 2 - p. Let g = -2.6 + f. Sort g, 0.1, -2/5. g, -2/5, 0.1 Let n = -0.1 - 0.1. Let m = -1.3 + 5.7. Let h = m - 4. Sort n, -1/4, h in decreasing order. h, n, -1/4 Let v be ((-1)/(-3))/(4/48) - 2. Sort -3, 12/11, v in ascending order. -3, 12/11, v Let t(j) = -2*j - 14. Let s be t(-6). Sort s, -4, 3 in decreasing order. 3, s, -4 Let g = 25.3 + -4.3. Let k = 21.4 - g. Sort k, -3, 0 in descending order. k, 0, -3 Let v(d) = -d + 1. Let q(g) = -7*g + 4. Let m(x) = -q(x) + 5*v(x). Let o be m(-2). Put 2/7, -5, o in descending order. 2/7, o, -5 Let x(i) = i**2 - 5*i - 1. Let v be x(6). Suppose -4*o + 14 = -6. Let k be o - 3*(-3 + 4). Sort -1, k, v in descending order. v, k, -1 Let w = 10 - 10.4. Put -2/19, w, 4 in descending order. 4, -2/19, w Let f be 1/((1/(-2 - -3))/(-1)). Suppose 4*q + 1 = 13. Suppose -q*i = a + 9, 11 = 2*a - 5*a - 5*i. Sort a, f, 1 in increasing order. f, 1, a Let i be (2 - -1)/(1 + -2). Let q be (-195)/(-75) - (-4)/10. Sort 0, i, q in descending order. q, 0, i Let s = 6 - 8. Let x = 1.98 + s. Let r = -0.22 - x. Put -3, r, -1/4 in ascending order. -3, -1/4, r Suppose -2 + 6 = m. Suppose 2*h = 3*b - 2*h + 7, -5 = m*b - h. Let y(v) = -v**3 + v**2 + v + 1. Let w be y(b). Sort w, 5, -5 in increasing order. -5, w, 5 Let y be 316/7*(-13)/(-4). Let b = y - 147. Sort b, -0.2, -4 in ascending order. -4, b, -0.2 Let j = -1.8 - -1.3. Put 6, j, 1/2 in decreasing order. 6, 1/2, j Let q be -2 - ((-4 - 1) + -1). Let t = -3.2 - 0.8. Sort q, -1/11, t. t, -1/11, q Let z = 15 - 13. Sort 6, z, 4. z, 4, 6 Let a(r) = -r**2 - 4*r. Let h be a(-2). Let j(s) = s**3 - 8*s**2 - 3*s - 9. Let q be j(9). Let l be q/10 - (-1)/2. Put -2, h, l in ascending order. -2, h, l Let n be 9/(-21) + 1/7. Put -5, 9, n in decreasing order. 9, n, -5 Let s be 5 - 0/((-4)/2). Sort 2, -5, s in decreasing order. s, 2, -5 Suppose -6*q + 20 = -q + 5*t, 2*t = -2. Suppose o = -3*v - 5, -4*o + o - 15 = -3*v. Put -3, o, q in descending order. q, -3, o Suppose -5 = -8*u + 67. Sort -5, -2, u in descending order. u, -2, -5 Let n = -415 + 435.1. Let y = n - 19.
{ "pile_set_name": "DM Mathematics" }
late the smallest common multiple of f and -1 - (-22 + 4)/2. 40 Suppose -5*d = -3*t - 65, -d - t - 3*t = 10. Suppose -15 = -7*s + 4*s. What is the smallest common multiple of d and s? 10 Find the common denominator of (-65)/(-2) + 1 + (-4 - -5) and -89/34. 34 Suppose 4*j = 3*o + 10, -4*o + 5*j = 11 + 3. Calculate the common denominator of -113/10 and (52 + -1)*o/(-30). 10 Let i = -10 + 12. Suppose 15 = -5*a, -i*o + 5*a = o - 45. What is the lowest common multiple of 9 and o? 90 Suppose i - 3*i = 2*s - 12, -2*s + 7 = -3*i. Suppose 3 = -3*m - s*r, 2*r + 0*r = 3*m - 18. What is the smallest common multiple of 22 and m? 44 Suppose -11 - 9 = -4*t. Calculate the common denominator of t/(-20)*(-9)/2 and -41/10. 40 Let l(b) = -7*b - 3. Let t(p) = -64*p - 28. Let a(c) = 28*l(c) - 3*t(c). Let d(z) = z + 3. Let u be d(-5). What is the lowest common multiple of 10 and a(u)? 40 Let l(w) = -w + 9. What is the smallest common multiple of l(7) and 11? 22 Let g be 2/(-6) - (-4)/(-6). Calculate the common denominator of 3/4*901/106 and g*2/4*-83. 8 Calculate the lowest common multiple of ((-27)/36)/(2/(-48)) and 12. 36 Let x = -479/2 - -1684/7. Calculate the common denominator of -17/18 and x. 126 Let n = 29 + -19. What is the smallest common multiple of n and 4? 20 Let m = 3 - -7. Let t = 16 - m. What is the least common multiple of -3*((-6)/(-3) - t) and 16? 48 Let o = 105476/15 - 7036. What is the common denominator of o and 93/2? 30 Let g = -13 + 19. Calculate the least common multiple of g and 11. 66 Let w = 0 + -1. Let o = -6321/4 + 1568. What is the common denominator of 85/33 + w/(-3) and o? 44 Suppose -5*h = -4*f + 15, f + 0 = 2*h + 3. Suppose -40 = -5*o + 2*u, -16 = -3*o + o - f*u. Calculate the smallest common multiple of o and 6. 24 Let i = 3896 + -85765/22. Find the common denominator of i and -117/14. 154 Suppose -3 - 2 = -v. Suppose 42 = v*n + w, 2*w + 3*w + 60 = 5*n. Suppose -37 = -3*r - 4*b + n, 4*r - 3*b = 53. Calculate the lowest common multiple of 2 and r. 14 Let u = 14 + -9. Let f = u + 13. What is the smallest common multiple of f and (-600)/(-27) - (-4)/(-18)? 198 Let v(y) = -y**2 + 13*y - 21. What is the least common multiple of 51 and v(10)? 153 Let m = 17 - 6. Let d(z) = -z - 2. Let o be (-1)/(-3 - 38/(-12)). Calculate the lowest common multiple of m and d(o). 44 Let b(l) be the second derivative of l**4/12 - l**3/6 + 43*l**2/2 + 2*l. Let m be b(0). Let s = m + -31. Calculate the smallest common multiple of 12 and s. 12 Let f(j) = -j**3 + 7*j**2 + 9*j + 2. Let v be f(8). What is the common denominator of 1/5 and (-5)/v*31*-3? 10 Let g = -5 + 8. Suppose 4*h + 36 = 6*h + 3*b, g*b = -3*h + 54. Suppose 2*z - 14 = 6. What is the least common multiple of h and z? 90 Suppose 6*c - 4*c + 116 = 0. Calculate the common denominator of (-7)/42 - c/(-3) and -13/14. 14 Let g be (18891/4 + 1)*4. Suppose -5*a + 5*c = g, a - c + 3*c = -3764. Let b = a + 45331/12. Calculate the common denominator of -29/8 and b. 24 Let i be -12*((-9)/(-12))/(-1). Calculate the smallest common multiple of (6/i)/((-3)/(-45)) and 9. 90 Suppose 5*v = 2*m + 3*m - 19225, -5*v = 3*m + 19185. Let t = -42272/11 - v. Find the common denominator of t and (-2)/6 - 334/(-12). 22 Let s = 15 + -9. Let p(q) = 17*q - 2. Let l be p(s). Suppose 0 = -3*z + 8*z - l. Calculate the lowest common multiple of z and 22. 220 Let v = 280781717/14532840 - 47375/4977. Let i = -1/584 + v. Find the common denominator of i and -26/7. 35 Let b be 20/(-2)*(-12)/(-15). Let o be (b/(-20))/((-1)/45). Calculate the common denominator of -119/12 and 12/16*140/o. 12 Calculate the common denominator of (-3)/(-18) - (-42)/4 and (-4)/14 + 557/14. 6 Let l = -274 + 2733/10. Let v = -16/5 - l. Calculate the common denominator of v and ((752/(-12))/4)/(7/(-3)). 14 Let j = 10 - 6. Suppose b = -j, -2*x = -3*x + 5*b + 36. Calculate the least common multiple of x and 14. 112 Let u(x) = -x**3 + 2*x**2. Let g be u(2). Let v(n) = n**2 + 16. Let r be v(g). Suppose r = -4*h + 116. Calculate the common denominator of h and -47/9. 9 Suppose -4*p + 2 + 42 = 0. Let c = p - 4. Suppose 2*n + 0 = 2. Calculate the smallest common multiple of c and n. 7 Suppose -5*y + 3*g + 23 = 5, -3*y - g = -22. Calculate the least common multiple of 1 - (0 - (2 + -1)) and y. 6 Suppose -5*v = -42 + 17. What is the least common multiple of 1 and v? 5 Let b = 44 - 4. What is the smallest common multiple of 4 and b? 40 Let f be 2 - 1/((-1)/5). Let z be 18/(-63) - (-37)/f. Suppose z*o = 2 + 8. Calculate the least common multiple of o and 8. 8 Let m(s) = s - 1. Suppose 2*l = 4*l - 4. Let u be (-1 + l)/((-1)/(-11)). Calculate the smallest common multiple of 22 and m(u). 110 What is the common denominator of -25/3 and (-3)/4 - (-2519)/308? 21 Suppose 4*u + 16 = 6*u. Suppose 8 = 3*i - s, -2*i + 3*s = 3*i - u. Calculate the lowest common multiple of i and 8. 8 Let n = -27459/2695 - 6/539. Calculate the common denominator of 63/5 and n. 5 Calculate the least common multiple of 4 and (-2 + 1)*14/(-1). 28 Let i = -1 - -3. Suppose -2*c + 20 = 4*q, 30 = i*q + 5*c + 4. Calculate the smallest common multiple of 3 and q. 3 Let p(y) = -y**3 - y**2 + 12. Let j = 6 + 6. What is the lowest common multiple of p(0) and j? 12 Let d = 7 - -3. Suppose -9 = 4*j - 29. Calculate the smallest common multiple of d and (-2)/j + 204/10. 20 Let a = -41/77 + 75/11. What is the common denominator of 85/72 and a? 504 Let g be 5/20 + (-23)/(-4). Let c(t) = 3*t - 7. Calculate the lowest common multiple of c(g) and 2. 22 Find the common denominator of -95/46 and -36 - (60/8)/(-5). 46 Let k(b) = 3*b**2 - b - 2. Let l = 2 - -1. Let u be k(l). Suppose 0 = -y + 3*y - u. What is the lowest common multiple of 10 and y? 110 Calculate the lowest common multiple of 24 and 1387/57 - 2/6. 24 Let p(i) = i**3 - 8*i**2 + 5. Let g = 12 + -4. Let b be p(g). Suppose 2*f - b*h = -0 - 4, 5*f = -h + 44. Calculate the least common multiple of 20 and f. 40 Suppose f = 1 - 0. What is the lowest common multiple of f and 18? 18 Let o be 4/8 - 4786/(-4). What is the common denominator of 49/16 and (-4)/(-20) + o/240? 16 Let h = 3573969733/4872 + -2200726/3. Let g = h - 5/232. Calculate the common denominator of g and 151/24. 168 Suppose j + 8 = 3*j. Let z be (2/6)/(8/24). What is the smallest common multiple of j and -6*(-1)/2 + z? 4 Suppose 0*g + 5*g - 10 = 0. Suppose 0 = g*i - 5*i + 15. Let r(c) = 2*c**2 - 2*c + 1. Calculate the lowest common multiple of i and r(2). 5 Let c = -1385/79 - -5/158. Calculate the common denominator of c and 31/7. 14 Let l = -28 + 40. What is the least common multiple of l and 15? 60 Let t = 67 + -47. What is the lowest common multiple of t and 18? 180 Let v be -1 - (412/(-6) - -1). Let b = v + -602/9. Find the common denominator of 49/10 and b. 90 Let m = -3191/5 - -635. Let i be -114*78/(-16) + -1. Let s = 549 - i. What is the common denominator of s and m? 20 Suppose -7 = 4*q - 5*q. What is the least common multiple of 10 and q? 70 Suppose -3*i = 2*i - 25. Suppose -i*j + 57 = 17. What is the lowest common multiple of j and (-2)/(-8) + 135/20? 56 Let h(t) = t**2 - 3. Suppose -18 = 5*l - x, -4*x + 3 = 4*l + x. Calculate the smallest common multiple of 8 and h(l). 24 What is the smallest common multiple of 33 and (15 + -6)*2/2? 99 Let x = -7 - -12. Suppose 0 = -2*k + 11 + x. Calculate the least common multiple of 12 and k. 24 Calculate the common denominator of -35/16 and 23/(-22) - 3/(-1). 176 Let s = -6 - -6. Calculate the least common multiple of 11/(3 - 2) + s and 1. 11 Suppose -3*u - u + 120 = 0. Suppose 5*g - u = -0*g - 2*p, 4*g - 17 = -3*p. Let v = 0 - -4. What is the least common multiple of g and v? 8 Let z = -34 - -19. What is the common denominator of z and 81/10? 10 Let u = -60 - -93. Let l = u + -49. Let a = -31444/9 + 3490. Calculate the common denominator of l and a. 9 Let g be 563/(19*(-3)/(-879)). Let i = 8690 - g. Let x = 1145/266 - i. What is the common denominator of 107/14 and x? 14 Let a = 3 + 1. Calculate the least common multiple of 4 and a. 4 Let k(m) = 3*m**3 - m**2 + 2*m - 1. Let f be k(2). Suppose f = 2*p + 3. Calculate the least common multiple of 8 and p. 40 Let x be (-3 + 6)*2/(-2). What is the common denominator of 55/8 and x/4*714/(-81)? 72 Let k(
{ "pile_set_name": "DM Mathematics" }
876))/(6/2*(-3)/(-408))? -102 What is the value of (-34)/12*(-52)/(286/(-11))? -17/3 What is (13/4)/(1406/(-9139)*507/(-4))? 1/6 ((512/11008)/((-1)/((-9)/6)))/6 1/86 ((-4)/3)/((1551/(-1089))/(-47)) -44 What is the value of -645*(-44)/5940*9? 43 Calculate 37191/272734*80/3. 40/11 ((-5)/(-20))/(((-123)/410)/(6/(-185))) 1/37 What is the value of (-115)/(220/((-4048)/(-92)))? -23 What is the value of (-31)/((-36022)/(-83))*(14/4)/(-1)? 1/4 Calculate (((-84)/19)/6)/((64/38)/(-32)). 14 (6*5/45)/(9*(-217)/1674) -4/7 What is 72/(-63)*((-1)/(-2))/((-88)/440)? 20/7 What is 896/12*(-498)/664? -56 Calculate ((72/20)/6)/(23*4/1610). 21/2 What is the value of (-93)/10*(178940/552)/389? -31/4 What is the value of ((-23)/((-276)/234))/(5/(-10))? -39 Calculate (-14)/4*-95*(46/(-345))/(14/12). -38 What is the value of 20*(-5)/(-765)*2610/1160? 5/17 What is (205/41)/(1/2)*212/53? 40 (-7425)/(-1782)*(-4)/(-25)*(-225)/(-6) 25 Evaluate (-6)/8*232*(-116)/35322. 4/7 2640/8250*(-15)/3*2*3/(-12) 4/5 What is ((-24)/(-12))/(5*(-10)/(-75))? 3 Calculate (208/52)/((-14)/175). -50 Evaluate 6/2*127/(4318/(-340)). -30 What is the value of ((4/1)/20)/(24*(-2)/80)? -1/3 Evaluate -1*(350/(-21))/50*47*-3. -47 Evaluate (-24)/7*6174/(-76734). 8/29 Calculate (-405)/(31995/158)*146/(-4). 73 What is the value of 4/(464/116*(-12)/(-39))? 13/4 What is ((-20)/90)/(-2)*(-1440)/1200? -2/15 What is the value of 3/100*-3*57/(221616/(-384))? 2/225 Calculate 36/(36*47/141). 3 What is the value of (-78)/(-3)*4*(110/(-792))/((-125)/75)? 26/3 Evaluate ((2916/1206)/(-54))/(3*1/(-2)). 2/67 (-2*80/216)/(3/63*7) -20/9 What is the value of (((-124)/155)/(7/5))/((-1908)/(-126))? -2/53 What is (2/6)/(2/(-43))*1094406/182401? -43 What is (-2*26/4)/((((-980)/(-42))/70)/(-2))? 78 (7/6)/((10/(-105))/((-1192)/(-2086))) -7 Calculate 96/60*((-33)/(-220))/(27/(-525)). -14/3 What is the value of (16/10)/((968/(-165))/(-11)*30/(-100))? -10 ((-34)/(-17))/(((-448)/(-464))/(-14)) -29 What is (-10800)/216*(-4)/10*(-20)/(-75)? 16/3 50/200*((-56)/(-63))/(2/201)*3 67 Calculate (-27)/(1620/672)*(-180)/(54/3). 112 Calculate ((-1)/4*38/114*-6)/((-360)/16). -1/45 Evaluate (24*9/11592)/(((-18)/16)/((-84)/16)). 2/23 What is (4/(-3)*(-1605)/(-20330))/2? -1/19 1*(-20)/35*(-3)/(-6)*-14 4 Evaluate 20/(-4)*(198/1155)/1*56/(-148). 12/37 Evaluate 2*(13/26)/((-594)/132). -2/9 What is the value of (37/(-185)*2)/((-48)/(-60)*(-74)/(-8))? -2/37 Evaluate (3009/(-10030))/(234/(-20)). 1/39 Evaluate (-1)/2*(-24)/52*(-90)/(-1215). 2/117 What is ((-144)/150)/((-61)/(21960/108))? 16/5 What is the value of 18/60*93/279? 1/10 Calculate 9*30/36*(-224368)/11370. -148 Evaluate (-93)/7*((-1218)/(-9))/(-58). 31 Evaluate (2/6*29)/((-6175)/(-37050)). 58 What is the value of (-4*-5*5/125)/((-64050)/(-2625))? 2/61 Calculate ((-36)/72)/(28/16)*(-42)/(-72). -1/6 What is ((-4)/112*6)/((107322/(-12117))/(16/(-42)))? -2/217 Calculate (2*108/(-1485))/((-24)/180). 12/11 Evaluate ((-14)/15)/(((-109)/(70850/200))/((-10)/(-13))). 7/3 Evaluate ((-53)/106)/((-4)/(-144))*5/2. -45 Calculate 3552/370*(-315)/(-2184). 18/13 (((-262656)/3200)/228)/(6/5) -3/10 ((-40)/32*3/(-15))/(((-1620)/168)/27) -7/10 Evaluate ((-53)/((-1908)/(-216)))/(9/(162/84)). -9/7 What is ((-7)/(42/26))/((-96)/72)? 13/4 What is (-48555)/5395*(-1)/(-30)? -3/10 What is 15/(-7)*14456/(-451750)*1/(2/7)? 6/25 What is 33*((-3)/36)/(3/6)? -11/2 Calculate 1/((-264)/1254*(-38)/4*9/(-900)). -50 Calculate (496/(4/(-2)))/((-30)/27*(-4680)/(-1300)). 62 Calculate ((-2095)/(-1257))/(((-12)/24)/((-126)/20)). 21 7*(250809/(-273))/109 -59 What is the value of (-9)/(-1)*((-154)/42)/((-429)/143)? 11 What is the value of ((-608)/(-6))/4*20/(-40)? -38/3 What is the value of (4028/2128*28)/(2/((-2)/(-1)))? 53 Calculate 144/6*2876/(-2157). -32 (42/28)/(23/(-115)*(-20)/(-12)*1) -9/2 Evaluate 164*(-2)/(((-2)/14)/((-301)/16856)). -41 Evaluate (6/22)/(((-21090)/9823)/185). -47/2 (-35)/(-35)*27/(-99) -3/11 (((-66048)/(-896))/129)/(((-4)/8)/((-14)/44)) 4/11 21/(-4)*126*364/8918 -27 What is (((-3)/9)/((-2)/(-3)))/((-404)/46965*-93)? -5/8 What is ((-3)/(-2))/(66652/7016)? 3/19 What is 6/((-15)/(-5))*(-114)/(-3)*(-17)/(-68)? 19 (12/420)/((6/(-8))/((-287)/164)) 1/15 Evaluate ((-1)/(-15)*105/70)/(47/1598). 17/5 What is ((42/18)/7)/(7326/51948)? 26/11 What is the value of 6/114*(-323)/(-51)? 1/3 What is the value of ((-2)/1)/(6/(-1))*(180792/1612)/162? 3/13 What is (19/(114/444))/((-166)/(-83))? 37 ((-133)/228*2*(-216)/(-112))/(6/(-40)) 15 128064/53360*(-110)/4 -66 What is (-4*(-90)/(-180))/(4/46)? -23 Evaluate (-20)/(-72)*(-1664)/1040. -4/9 What is the value of ((-24)/(-8))/((-2058)/17836)? -26 ((-20550)/(-2055))/((-50)/(-39)) 39/5 Calculate (98/((-118482)/6789))/(1/(-13)). 73 Evaluate ((-2)/4)/((-3010)/6880). 8/7 Calculate ((-2160)/2925*-52)/((-13)/((-195)/(-6))). -96 What is (14/63)/(-38*43/(-2451))*393*1? 131 Evaluate (67/67)/(3/588*-4). -49 What is the value of (20/178*(-10)/(-25))/(-2)? -2/89 What is 332/(-26726)*1*(-35)/(-10)? -1/23 Evaluate (-1012)/(-8)*-20*19/(-5225). 46/5 Evaluate ((-252)/18684)/(49/42). -2/173 Evaluate ((4425/(-50))/(-177))/((-2)/28). -7 What is the value of (-132)/(-5)*55/22*((-2)/2)/10? -33/5 What is the value of 13773655/(-66140)*(-8)/49? 34 What is the value of (3175266/(-114424))/(((-2)/(-56)*-3)/((-4)/(-14)))? 74 What is the value of -7*7*-12*22/1848? 7 What is (246/(-1)*39/(-117))/((-11)/(132/24))? -41 Calculate (-448)/19008*-22*-3. -14/9 2/(12/34)*(19/437)/(50/3450) 17 Calculate (204/10659)/((-4)/132). -12/19 What is the value of (216/(-1620))/(9/((-1080)/(-6)))? -8/3 Evaluate 38/(-2280)*-24*180/(-104)*2. -18/13 Evaluate (-14)/(-33)*4/3*40*(-201)/(-37520). 4/33 Evaluate 13090/308*20/(-50). -17 Calculate ((-483)/161)/((-126)/(-32))*(-7)/((-252)/81). -12/7 Evaluate (-216)/360*(-3190)/(-33). -58 Evaluate (-7)/1120*56*2*-10. 7 What is (-1464)/(-183)*(-2)/8*1/(-4)? 1/2 (156/1287)/((-198)/363) -2/9 Evaluate ((-12)/27)/((-399)/(-84645)*10). -66/7 Calculate 8/(-7)*-25*15/(-750)*(-154)/(-4). -22 What is ((-140)/(-294))/(6170/20361)? 11/7 What is -1*(-5)/(-5)*((-8)/50)/((-46)/115)? -2/5 ((-9)/(-63))/((12834/217)/23) 1/18 ((-6084)/7605)/(14/20) -8/7 (3*(-5)/75*-6)/(((-31833)/15)/(-27)) 2/131 Evaluate 56122/(-61224)*2/((-44)/(-225)). -75/8 What is 6/(-35*888/(-2590)*(-178)/8)? -2/89 Calculate (((-112)/(-2352))/((72/(-21))/(-4)))/(18/(-12)). -1/27 Calculate (((-2)/4)/((-8417)/(-886)))/((-8)/(-4)). -1/38 Evaluate (-2)/((3/((-276)/16))/((-26)/(-13))). 23 What is ((-362)/(-124528))/(4/(-32))? -1/43 What is 32/(1152/(-234))*12/(66/11)? -13 ((-47)/((-376)/(-6)))/(9/672) -56 ((-40)/(-54))/(23*60/(-43470)) -70/3 (234/312)/(7/(-21)*2)*35/(-45) 7/8 Calculate 60/(-570)*(-5263)/(-58724). -1/106 What is the value of ((128/(-80))/(40/(-25)))/(40/(-24))? -3/5 Calculate ((-6)/(-20))/(6248*720/105600). 1/142 What is ((205/(-82))/(3/30))/((-33)/99)? 75 What is 1/(((-896)/(-1312))/28)? 41 What is the value of (1614/15333)/((-4)/(-8))? 4/19 14/10*1476/(-2583)*-40 32 Calculate ((-2480)/992)/(((-300)/(-568))/(-15)). 71 ((-2)/15*-15)/(35/15) 6/7 20*55/44*(-210)/(-6375) 14/17 Calculate 39/13*(-2)/40*-4*(-675)/9. -45 What is the value of 8/(-16*8/(-8))*-43*2? -43 (-1)/2*-7*(-11392)/7476*6/(-1) 32 (-232)/(-8874)*18/84*-1*21/(-9) 2/153 Calculate (-387)/(-24)*27008/5064. 86 Evaluate 4/((-34)/(-9775)*23). 50 Evaluate (360/720)/(8/2). 1/8 What is 42/(-57)*2/14*-6? 12/19 What is the value of ((-12)/12*(-3)/(-603))/(6/36)? -2/67 Evaluate ((-1600)/(-224))/(130/1911). 105 Evaluate (((-3)/(-540))/(-18*34/1836))/((-4)/(-12)). -1/20 What is 378/(-36)*(-2)/2*(-424)/(-212)? 21 ((-30)/9)/((-21)/756*5) 24 What is the value of (24/14)/(((-2)/(-8))/((-189)/(-144)))? 9 What is ((-1)/6)/(11/440)*(-42)/(-3136)*24? -15/7 What is the value of (106/(-80))/((-8951)/(-358040))? -53 -2*2/(1*238/14) -4/17 What is the value of (8/(-279))/(4004/(-3003))? 2/93 What is -5*19/41800*-11? 1/40 What is (3560/(-160)*(51/(-68))/(15/80))/1? 89 Calculate (8/2)/((-91)/(-13))*-75*462/(-1118700). 2/113 What is the value of ((-4800)/18400)/(6/(-1426))? 62 -133*(-16)/(-336)*368/3496 -2/3 What is the value of (-34008)/(-4796)*22/4*1? 39 Evaluate ((-12)/((-4224)/(-4)))/(12/96). -1/11 5/17*3608/(-54120) -1/51 Calculate ((-3298)/(-5044))/((-85)/(-100)). 10/13 Calculate ((-193)/(
{ "pile_set_name": "DM Mathematics" }
29. -4228.429 What is 0.124088 plus 93907? 93907.124088 What is -160224 - 3.784? -160227.784 What is -1.262294 plus 0.07409? -1.188204 What is 5 plus 535114? 535119 600525 - 61 600464 What is -29479 take away -0.945? -29478.055 What is -8.176725083 minus 3? -11.176725083 What is -0.118 minus 83672? -83672.118 Calculate -8 + -852.2604823. -860.2604823 What is -682460367 - -0.5? -682460366.5 Calculate 847468656 + -69. 847468587 What is 113.969 plus 1.3? 115.269 What is 30875634 plus -16.7? 30875617.3 What is -349458557 take away -0.16? -349458556.84 What is -1.5146 take away -0.035? -1.4796 Add together -42521056.49 and -0.4. -42521056.89 What is 534.17 less than 0.747? -533.423 What is the difference between 0.077 and 0.479918? 0.402918 What is the distance between -0.2264 and 4757198? 4757198.2264 Put together 5449 and 381.1612. 5830.1612 What is -6911707 less than 1.55? 6911708.55 Work out -1 - 268931048. -268931049 Work out -439 - 183.06. -622.06 Add -523663 and 3.6. -523659.4 9863 - -5088 14951 What is 0.049 less than 645342545? 645342544.951 What is 226.88235 minus -890? 1116.88235 -0.27 + 885.03 884.76 Calculate -0.4 - 0.0531917772. -0.4531917772 Work out -0.3 - -151406864. 151406863.7 Calculate -47294.557 - 0.13. -47294.687 What is -7294 minus 2367? -9661 Total of 3.9 and -6145249. -6145245.1 What is -0.7251 - 1.907? -2.6321 Work out -7587935 - 113. -7588048 -2435.8 - -83 -2352.8 What is 2559609 less than 31146? -2528463 Put together -2.0453 and 60.6. 58.5547 Sum 393028 and -1727. 391301 0.2 - -574394795.3 574394795.5 Work out -116731569 - 0.1. -116731569.1 Sum -1558 and -863310. -864868 Calculate 30.03333 + 2.29. 32.32333 What is 406 less than 414037.3? 413631.3 Work out 0.12 - 9154122. -9154121.88 What is -0.3 plus 122.64999507? 122.34999507 What is 706400 minus -0.00661? 706400.00661 Put together -88694 and -554. -89248 What is 1569 - -3.3578? 1572.3578 Calculate -7019270 - 0.6. -7019270.6 Put together 19.094 and 0.00088. 19.09488 What is 0.92 minus 0.0391946? 0.8808054 What is the distance between 1 and 450713056? 450713055 Sum 5 and -0.01307018815. 4.98692981185 What is -0.3 minus 19650809? -19650809.3 What is -9090.4 - 45.344? -9135.744 Add 3 and 233898.045. 233901.045 What is 1398394 - -477? 1398871 Sum 7.622659 and 0.29. 7.912659 What is -0.201396 take away -0.05072? -0.150676 Work out -1708711 - -379. -1708332 Add -17.9 and -0.075265. -17.975265 What is -0.0729820597 take away 0.3? -0.3729820597 What is the distance between -49.8 and -2007384? 2007334.2 What is -64 minus -176174? 176110 Add 235798141 and 3. 235798144 What is 0.155234 minus 25? -24.844766 Work out -6715612973 - -0.1. -6715612972.9 What is 7051 less than -59673.7? -66724.7 What is 0.1468 - 24001? -24000.8532 What is 2742421 less than 1.4? -2742419.6 What is 0.8 take away -204647063? 204647063.8 What is 1277008421 take away -0.4? 1277008421.4 What is 28.2 minus -745.89? 774.09 -111 - -13.5302351 -97.4697649 What is the difference between -0.319874 and -75? 74.680126 Work out 0.05 + 58.459986. 58.509986 241672 - 676 240996 Work out -660190 + -67.296. -660257.296 What is -98017 less than -2173.25? 95843.75 Put together -2982892489 and -5. -2982892494 Work out -1.2 + 3072258. 3072256.8 What is 4 - -91.44239? 95.44239 -8692257957 - -0.5 -8692257956.5 Work out -39.47 - 22516. -22555.47 Work out 0.1 + 19762458. 19762458.1 -347488+-3.2 -347491.2 What is -75 minus -44113613? 44113538 -201423.09+-33 -201456.09 What is 237170775 + 0.5? 237170775.5 31035.8 + -119 30916.8 Calculate 29678699.08 + -15. 29678684.08 Calculate -7.61 + -123169801. -123169808.61 Calculate 1.52914 - -8.537. 10.06614 What is -0.0229 minus 4768.27? -4768.2929 Subtract -13.92 from -18110420. -18110406.08 What is 1839 take away -193.078? 2032.078 What is the distance between 132 and -3898560? 3898692 What is the difference between 9714 and -1.03034? 9715.03034 5316 + 510 5826 Work out 2.75663309 - 2.9. -0.14336691 Add -330403 and 5292. -325111 Total of -154.799 and 12.265. -142.534 What is 2037092 minus -17.5? 2037109.5 What is 144.1551617 take away 0.01? 144.1451617 Subtract 4 from -70193066. -70193070 What is -325002 - -3403? -321599 Sum 1354 and -293353. -291999 What is 1514 + 1.1807806? 1515.1807806 Add together -3792308 and -118. -3792426 Subtract 0.04 from 74254721. 74254720.96 What is the difference between -133 and 14995472? 14995605 Work out 0.4 - 3518489. -3518488.6 -45.92 - 469878 -469923.92 What is 1103.26 minus -0.13112? 1103.39112 Put together 3 and -66408.854. -66405.854 1595003.78 - 0 1595003.78 What is 5 minus 150295026? -150295021 Add -0.5 and -100316281.2. -100316281.7 What is -35806534 + 5? -35806529 What is -29089.104 minus 0.3? -29089.404 Calculate 0.0627 + 176436.91. 176436.9727 Put together 100087 and 719. 100806 13.34 - 16838.61 -16825.27 6.8 - 856253 -856246.2 What is -292861 - -0.043? -292860.957 What is -21.4 minus -2592310? 2592288.6 -5 + -665638.26 -665643.26 Calculate -0.5 - -5.185389. 4.685389 What is 22.60901 plus -31? -8.39099 What is 61.5 less than 351449? 351387.5 What is the distance between -0.18354734 and -14? 13.81645266 What is -398.781657 take away -5? -393.781657 Calculate -7557 - -34870. 27313 Calculate -114 - 440612659. -440612773 Add together 7470300 and 124.5. 7470424.5 Sum -12 and -227080.608. -227092.608 What is -6033 less than -35.06? 5997.94 What is -81 take away 226838? -226919 What is 69150 plus 6318? 75468 Add together 9.714 and 0.2386. 9.9526 Total of 0.0804 and -73324. -73323.9196 -361540792 + -8 -361540800 What is 7 + 45250864? 45250871 Put together 5.775772423 and 0.02. 5.795772423 Work out 41.259444464 - -5. 46.259444464 -106.824757 - 0.4 -107.224757 0.2 - -139057990 139057990.2 Calculate 1.8904677 - 0.6. 1.2904677 -5 - -8781.88 8776.88 What is -2291 + -174.57? -2465.57 What is -31606942 minus -67? -31606875 Calculate 708648152 - -2. 708648154 Sum -0.4 and -10051542. -10051542.4 55036166+22 55036188 What is the distance between -5253494 and 515? 5254009 What is -4976768 take away 37.6? -4976805.6 Sum 40497249 and -56. 40497193 Total of 211.1488 and 0.611. 211.7598 Subtract -65 from 112976. 113041 What is 0.4 minus 50.88866? -50.48866 What is the difference between -1688.9 and 197? 1885.9 0.5+-1373174750 -1373174749.5 What is the distance between -16.79 and 8048858? 8048874.79 4211065+-0.2 4211064.8 Calculate -60173047 - -0.02. -60173046.98 Calculate 0.3 - -2266162. 2266162.3 What is -10029077 less than 0.9? 10029077.9 What is -2859344 plus -373? -2859717 What is -6 - -1287917575? 1287917569 What is -0.1675 take away 21.1179? -21.2854 What is -21818.8 - -13.6? -21805.2 What is 12 less than -1252279? -1252291 Subtract -7280683 from 14.4. 7280697.4 Put together -49.6506 and -0.122. -49.7726 What is 0.2223 less than -0.099743? -0.322043 What is the difference between 10355.6456 and -0.95? 10356.5956 3 - 85198.966 -85195.966 Calculate -5 + 135152.81. 135147.81 What is the distance between -1722451 and 844? 1723295 What is the distance between 4143 and 154015? 149872 Subtract 0.05 from -8.28395. -8.33395 What is 0.3 take away 1032.44691? -1032.14691 Work out -2044223 - 421. -2044644 Calculate -45969 - -2.083. -45966.917 Add together -0.8 and -1067.627412. -1068.427412 Work out -0.347302 - -0.2585. -0.088802 Add 8 and 28364.62. 28372.62 Work out 3131939 - -1012.2. 3132951.2 Calculate -8256.66021 - 11. -8267.66021 What is the difference between -0.12792805 and -6.9? 6.77207195 Add -248036932 and -0.4. -248036932.4 Calculate -31 - 344228. -344259 Sum 4155.62 and -0.028. 4155.592 What is -68.294245 less than 0.055? 68.349245 -17454+-524 -17978 Add -367.8671994 and 0.5. -367.3671994 Add 4 and -83.95007049. -79.95007049 What is the difference between -0.0039577 and 30748? 30748.0039577 Calculate 103523840 + 11.8. 103523851.8 Calculate 154.5 + -12088.1. -11933.6 Subtract -3684065 from -586. 3683479 What is 0.0664173 take away 28404? -28403.9335827 What is the difference between -0.5 and 92724016? 92724016.5 5 + -56512737 -56512732 -6840.4635 - -3 -6837.4635 Add together -23226.81 and -0.26. -23227.07 Sum -0.5 and 0.93758493. 0.43758493 Total of 30 and -3288001. -3287971 0.153 - -1042.69 1042.843 Work out -16.968 - 2.5209. -19.4889 Add 1143730 and -9522. 1
{ "pile_set_name": "DM Mathematics" }
M? 1:00 AM What is 191 minutes after 9:10 AM? 12:21 PM What is 401 minutes after 2:01 AM? 8:42 AM How many minutes are there between 6:07 PM and 1:33 AM? 446 How many minutes are there between 4:44 PM and 7:24 PM? 160 How many minutes are there between 5:57 AM and 2:13 PM? 496 How many minutes are there between 3:34 AM and 2:02 PM? 628 What is 172 minutes after 9:20 PM? 12:12 AM How many minutes are there between 3:26 PM and 9:32 PM? 366 How many minutes are there between 2:58 PM and 12:18 AM? 560 What is 670 minutes before 3:23 AM? 4:13 PM How many minutes are there between 5:31 AM and 10:54 AM? 323 What is 359 minutes after 3:44 PM? 9:43 PM What is 448 minutes after 10:32 PM? 6:00 AM How many minutes are there between 12:35 PM and 9:59 PM? 564 What is 481 minutes before 10:59 PM? 2:58 PM How many minutes are there between 5:22 AM and 3:21 PM? 599 What is 309 minutes before 3:31 AM? 10:22 PM How many minutes are there between 6:05 AM and 12:53 PM? 408 What is 36 minutes before 11:28 AM? 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60 How many minutes are there between 2:24 AM and 2:13 PM? 709 How many minutes are there between 7:18 PM and 6:58 AM? 700 What is 584 minutes after 1:30 AM? 11:14 AM How many minutes are there between 5:00 PM and 5:56 PM? 56 How many minutes are there between 5:07 PM and 3:43 AM? 636 What is 488 minutes after 1:00 AM? 9:08 AM How many minutes are there between 12:17 AM and 7:59 AM? 462 How many minutes are there between 8:04 PM and 6:14 AM? 610 What is 11 minutes before 11:53 AM? 11:42 AM What is 371 minutes after 10:25 PM? 4:36 AM What is 692 minutes before 7:18 AM? 7:46 PM What is 675 minutes before 6:56 PM? 7:41 AM How many minutes are there between 9:38 AM and 2:51 PM? 313 What is 704 minutes before 3:50 AM? 4:06 PM How many minutes are there between 3:38 AM and 7:41 AM? 243 What is 628 minutes before 11:12 AM? 12:44 AM How many minutes are there between 1:18 PM and 8:51 PM? 453 What is 159 minutes before 8:58 PM? 6:19 PM How many minutes are there between 3:30 AM and 12:50 PM? 560 What is 202 minutes before 6:32 PM? 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{ "pile_set_name": "DM Mathematics" }
ommon denominator of -87/3820 and 76/573. 11460 Calculate the lowest common multiple of 1345 and 11. 14795 What is the common denominator of 143/1632 and 7/4896? 4896 Find the common denominator of 49/150 and 61/10. 150 Find the common denominator of -139/70 and 181/30. 210 Find the common denominator of 63/22 and 3/44. 44 What is the lowest common multiple of 44 and 165? 660 Calculate the common denominator of -55/36 and -7/108. 108 Calculate the lowest common multiple of 219 and 105. 7665 Find the common denominator of 57/8 and 43/943. 7544 Find the common denominator of 113/66 and 191/330. 330 What is the common denominator of -89/1020 and 143/18? 3060 Calculate the smallest common multiple of 2440 and 2745. 21960 Calculate the lowest common multiple of 66 and 42. 462 Find the common denominator of 37/105 and -43/63. 315 Calculate the lowest common multiple of 6 and 92. 276 What is the least common multiple of 20 and 1264? 6320 Calculate the least common multiple of 42 and 186. 1302 What is the common denominator of -29/81 and -76/9? 81 Calculate the least common multiple of 80 and 64. 320 Calculate the common denominator of -33/130 and -8/377. 3770 Calculate the common denominator of 10/253 and -44/69. 759 What is the lowest common multiple of 3 and 156? 156 Calculate the smallest common multiple of 1428 and 11. 15708 Calculate the least common multiple of 111 and 37. 111 Calculate the smallest common multiple of 678 and 5. 3390 What is the common denominator of -23/90 and -13/516? 7740 What is the smallest common multiple of 120 and 20? 120 Find the common denominator of 29/46 and -54/7. 322 Calculate the lowest common multiple of 3 and 34713. 34713 Calculate the common denominator of -43/54 and -47/66. 594 What is the least common multiple of 78 and 154? 6006 Calculate the lowest common multiple of 6 and 98. 294 What is the smallest common multiple of 18 and 72? 72 Find the common denominator of 65/16 and 1/784. 784 Calculate the smallest common multiple of 6 and 666. 666 Calculate the smallest common multiple of 42 and 8. 168 Calculate the common denominator of 47/492 and -21/41. 492 What is the least common multiple of 24 and 27? 216 What is the common denominator of 39/227 and -93/10? 2270 What is the lowest common multiple of 240 and 30? 240 Find the common denominator of 13/60 and 54/13. 780 Calculate the least common multiple of 1381 and 6. 8286 Calculate the common denominator of 68/1725 and -61/30. 3450 Find the common denominator of 85/832 and -97/312. 2496 Calculate the smallest common multiple of 9 and 24858. 24858 Calculate the common denominator of 109/96 and -137/858. 13728 What is the common denominator of 27/82 and 37/16? 656 What is the lowest common multiple of 24 and 171? 1368 What is the common denominator of -13/1005 and -13/7? 7035 Calculate the lowest common multiple of 96 and 120. 480 Calculate the common denominator of 81/782 and -123/230. 3910 What is the lowest common multiple of 6 and 195? 390 Calculate the common denominator of -91/144 and -121/144. 144 Calculate the least common multiple of 20 and 148. 740 What is the least common multiple of 11 and 781? 781 Calculate the common denominator of -1/3 and 21/647. 1941 Calculate the lowest common multiple of 186 and 14415. 28830 Calculate the common denominator of 19/123 and 13/1230. 1230 Find the common denominator of 155/396 and -89/90. 1980 What is the least common multiple of 6 and 1? 6 What is the common denominator of -51/77 and 18/245? 2695 Find the common denominator of 43/6 and 17/48. 48 Calculate the common denominator of 17/49 and -29/140. 980 Calculate the common denominator of -29/1235 and 27/10. 2470 Calculate the smallest common multiple of 8 and 155. 1240 Find the common denominator of 29/224 and 173/504. 2016 What is the common denominator of 51/9490 and -37/30? 28470 Calculate the least common multiple of 225 and 18. 450 Calculate the common denominator of -111/22 and -71/14. 154 Find the common denominator of -18/133 and -16/57. 399 What is the smallest common multiple of 240 and 16? 240 What is the common denominator of 37/255 and 32/39? 3315 What is the common denominator of -7/144 and -49/3? 144 Calculate the smallest common multiple of 11235 and 21. 11235 Calculate the common denominator of -44/161 and -16/413. 9499 What is the least common multiple of 825 and 45? 2475 What is the common denominator of -13/3112 and 13/1945? 15560 What is the least common multiple of 1015 and 2233? 11165 What is the lowest common multiple of 12 and 1776? 1776 What is the lowest common multiple of 320 and 352? 3520 Calculate the lowest common multiple of 355 and 568. 2840 Calculate the lowest common multiple of 52 and 24. 312 Calculate the least common multiple of 13612 and 18. 122508 Calculate the lowest common multiple of 972 and 40. 9720 Calculate the least common multiple of 24 and 216. 216 Find the common denominator of 91/88 and 49/24. 264 What is the least common multiple of 30 and 11? 330 Calculate the least common multiple of 1364 and 2852. 31372 What is the least common multiple of 16 and 28? 112 Calculate the common denominator of 41/960 and 88/15. 960 What is the least common multiple of 10 and 814? 4070 Calculate the lowest common multiple of 99 and 2385. 26235 Calculate the common denominator of -103/54 and -34/29. 1566 What is the smallest common multiple of 120 and 60? 120 Calculate the common denominator of 155/168 and 31/48. 336 Find the common denominator of -46/231 and 137/198. 1386 What is the lowest common multiple of 312 and 780? 1560 Calculate the common denominator of 19/36 and 27/20. 180 Find the common denominator of -61/160 and -33/10. 160 What is the least common multiple of 16 and 2270? 18160 What is the lowest common multiple of 33 and 459? 5049 What is the least common multiple of 12 and 1899? 7596 What is the common denominator of -73/576 and 31/18? 576 What is the smallest common multiple of 411 and 2877? 2877 Calculate the least common multiple of 24 and 180. 360 What is the common denominator of 16/639 and -61/4260? 12780 What is the smallest common multiple of 54 and 198? 594 Calculate the common denominator of -55/196 and 31/8. 392 What is the lowest common multiple of 20 and 406? 4060 Find the common denominator of 139/216 and -163/312. 2808 Calculate the lowest common multiple of 20 and 120. 120 Calculate the smallest common multiple of 50 and 30. 150 Calculate the common denominator of 71/114 and -97/66. 1254 What is the common denominator of -37/4 and -71/5384? 5384 Calculate the smallest common multiple of 27 and 24. 216 What is the lowest common multiple of 549 and 258? 47214 What is the least common multiple of 18 and 42? 126 Calculate the lowest common multiple of 18 and 42. 126 What is the lowest common multiple of 1661 and 755? 8305 Calculate the common denominator of -43/1746 and -28/485. 8730 Calculate the common denominator of 77/10 and -63/1430. 1430 Find the common denominator of -29/144 and 7/192. 576 Find the common denominator of -5/78 and -95/66. 858 Find the common denominator of -47/492 and 127/96. 3936 What is the lowest common multiple of 5 and 36? 180 What is the common denominator of -11/59 and -22/531? 531 Find the common denominator of 71/374 and 61/6. 1122 Calculate the common denominator of 133/108 and -103/20. 540 Calculate the least common multiple of 204 and 34. 204 What is the common denominator of 7/40 and -9/220? 440 Find the common denominator of -139/444 and -133/444. 444 Calculate the lowest common multiple of 32 and 192. 192 What is the least common multiple of 480 and 1056? 5280 Calculate the common denominator of 27/20 and -113/100. 100 Calculate the common denominator of 11/84 and -101/50. 2100 What is the common denominator of -149/54 and -37/18? 54 What is the common denominator of -29/45 and 40/1527? 22905 What is the common denominator of -62/161 and 109/138? 966 Calculate the smallest common multiple of 16 and 88. 176 What is the common denominator of 1/90 and 97/154? 6930 What is the least common multiple of 13251 and 15? 66255 Find the common denominator of 97/4 and 41/236. 236 Find the common denominator of 121/84 and 149/276. 1932 Find the common denominator of -57/
{ "pile_set_name": "DM Mathematics" }
t u = g + -46. Let h = -21 - u. Solve h*s - 3 - 3 = 0 for s. 2 Let t(j) = 20*j - 111. Let c be t(5). Let o(f) = -18*f - 193. Let h be o(c). Solve 4*n = -h*n - 6*n for n. 0 Let k = -14382 - -15761. Solve -2*w - 1397 = -k for w. -9 Let h(i) = -3*i - 3. Let t be h(-2). Suppose 0*b + 122 = -x - 5*b, 251 = -2*x - 3*b. Let k = 133 + x. Solve w - t*w = -k for w. 3 Let d(u) = 317*u - 705. Let k be d(3). Solve 243 = m + k for m. -3 Suppose 71*j - 14029 = -2385. Solve -126*r + j*r + 76 = 0 for r. -2 Let p(v) = -22*v + 354. Let g be p(16). Solve g*w + 22*w = 144 for w. 6 Suppose 13*s = 11*s. Suppose -2*y - l = -5, -1 + 0 = y - 3*l. Solve -y*f + s*f = 0 for f. 0 Let q = -328 - -363. Suppose 24*c - q = 37. Solve -8 = -b - c*b for b. 2 Suppose 4*q - 3*q = 16. Let x = 2769 + -2764. Suppose 11*s - q*s + x = 0. Solve -j - s = 1 for j. -2 Suppose -6*c + 12*c - 240 = 0. Let j = c - 40. Let k be j/(4/4*-3). Solve k*d - 1 = -d for d. 1 Let x be -14 + 15 + 1 + 3. Suppose 0*a + j = 5*a - 31, 0 = -x*a + 5*j + 15. Solve 2*k - 9 = -a*k for k. 1 Let a(p) = -p**3 + 5*p**2 + 34*p - 141. Let q be a(4). Solve -101 = -28*l + q for l. 4 Let x(b) = -3*b**2 - 30*b - 24. Suppose -10*p + 3*q = -5*p + 31, 3*q + 49 = -5*p. Let a be x(p). Solve -5*l + 1 = -a for l. 5 Suppose 1315*a = 5*u + 1320*a - 30, 8 = -2*u + 3*a. Solve 26 = -u*s + 15*s for s. 2 Let s(a) = -2*a**2 + 9*a + 9. Let v be s(0). Suppose 6 = 10*i - v*i. Solve -i = 2*j + 4*j for j. -1 Suppose 9*b + 66 + 15 = 0. Let k(d) = -d**2 - 3*d + 8. Let y be k(b). Let c = y + 48. Solve 3*r - 15 = -c*r for r. 3 Suppose 1438*s - 1431*s - 154 = 0. Solve 40*y - 14*y - s*y = 0 for y. 0 Suppose -4*b = 46*b - 10771 + 3171. Solve -4*l - b = -42*l for l. 4 Suppose 4*o - i = -60, 3*o = -0*o + i - 45. Let w(f) = 6*f + 96. Let s be w(o). Solve -18 = -6*r + s for r. 4 Let q(a) = -3*a**2 + 4*a - 33. Let x(u) = -8*u**2 + 11*u - 98. Let l(z) = -11*q(z) + 4*x(z). Let r be l(8). Suppose -r = -5*s + 80. Solve -s - 2 = 5*v for v. -5 Suppose -61*l + 13979 = -13288. Solve 26*g + l = 603 for g. 6 Let r(c) = -c**3 + 6*c**2 + c - 4. Let l be r(6). Let n be (l - (-60)/(-8))*(-1 - -3). Let i = -6 - n. Solve 0*j - 5 = -i*j for j. 1 Let h be 40/(-15)*12/(-4). Suppose 0*w - 2*w - v - 2 = 0, 4*v + h = 0. Solve -3*d + w*d = 0 for d. 0 Let k(u) be the second derivative of -u**4/12 - 3*u**3/2 - 17*u**2/2 - 11*u. Let d be k(-5). Suppose -g = -2*g + d. Solve 10 = g*w - w for w. 5 Let z be ((-75)/(-225))/((-2)/(-6)). Suppose -30 = -2*f - f. Solve -3*o - f = -z for o. -3 Let s be 4/(-30) - (-8465)/225*-3. Let b = 228 + s. Let t = 116 - b. Solve 7 = -2*c + t for c. -3 Let l = 48 - 30. Suppose -54 = 4*j - l. Let h be 5 - 9*(-3)/j. Solve 1 + h = o for o. 3 Let u(m) = -m**2 + 404*m + 8925. Let k be u(-21). Solve k = 107*h - 114*h + 28 for h. 4 Let k be (1476/328)/((-1)/2)*-2. Solve -k*c - 67 = -31 for c. -2 Let g(f) = 89*f - 697. Let s be g(8). Solve 0 = -4*z + s*z - 55 for z. 5 Let d = 408 + -408. Let x(l) = l**3 + 8*l**2 - 4*l - 17. Let y be x(-8). Solve y = -3*f - d*f for f. -5 Suppose -15 = u - 4*u. Suppose u*h + x - 74 = 0, -2*x - 20 = -2*h - 0*h. Suppose 4 - h = -5*m. Solve 10 = 3*g + m*g for g. 2 Suppose m = -5*m + 300. Suppose -2*z + m = -i - z, -5*i - 254 = -3*z. Let n = i - -57. Solve -n = -2*a - 1 for a. 2 Let c = -345 - -410. Suppose -c = -4*j - 13. Let k be (8/2)/((-2)/(-2)). Solve -k*p + 1 = j for p. -3 Let n be (-28)/42 + 38/(-6). Let b(d) be the first derivative of -3*d**2/2 - 18*d + 8. Let r be b(n). Solve 4*i - r = 5*i for i. -3 Let c = 5748 + -5732. Solve 0 = -17*j + c*j - 1 for j. -1 Let z = -23 - -79. Suppose -150 = -3*y - 5*a, -12*a + 14*a - 100 = -2*y. Let h = z - y. Solve 0*x - h = 2*x for x. -3 Suppose -3*f = -6*f. Let z be (-2 + -1)/(1 - f) - -45. Suppose -z*g - 30 = -47*g. Solve 0 = 3*r - 0 + g for r. -2 Let q be (-190)/50 + 3 + 5267/115. Solve -16*l + q = 125 for l. -5 Let m be (1330/(-50) - -27) + 48/5. Solve -4*z = -6*z - m for z. -5 Let g(o) = -5*o + 90. Let y be g(6). Suppose -60 = -11*p - y. Solve r + p*r = -6*r for r. 0 Let m(d) = -d**2 + 74*d - 445. Let b be m(7). Solve 0 = 2*f + b - 14 for f. -5 Let f be (3/(-2))/(-3) - (374/(-4) - -16). Solve -f*n - 864 = -318 for n. -7 Let i = 956 - 932. Solve -i = 1137*l - 1145*l for l. 3 Suppose -5*s + 44 = p, 4*p + 33 - 233 = 4*s. Let f be (-4 + p)/(-9) + 5*4. Solve -4*z + 31 = f for z. 4 Let x(s) = -s**3 - 4*s**2 - 20. Let b be x(-5). Suppose -3*m = -5*o + b, -o - 20 = -6*o. Solve -4*f = 7 + m for f. -3 Let y = -35 + 28. Let o be 1/y - 1207/(-119). Suppose -u + 1 = -o. Solve 7*d = u*d - 4 for d. 1 Let a(c) be the first derivative of -c**3/3 - 9*c**2 - 18*c - 2. Let k(u) be the first derivative of a(u). Let y be k(-9). Solve y = 5*m - 3*m + 2 for m. -1 Let j be (5/(-3))/(3/(-9)). Suppose -4*g + 20 = 3*x, -4*g - 6*x + x = -20. Suppose 3*b + z = -0*b + 79, 45 = b + g*z. Solve 0 = -j*u - b for u. -5 Let v = 20062 - 19883. Solve -188*d + v*d = 45 for d. -5 Suppose n - 2 - 8 = -4*k, 16 = 4*n + 4*k. Let x be 4 + (n/9 - (-96)/54). Solve 0 = -5*a + x*a - 1 for a. 1 Suppose -5*c - 290 = -4*f, 2*f = 4*f - 3*c - 144. Suppose 2*k + 2*d = -k + 45, -f = -5*k - 2*d. Let g be (0/(-2))/(2 - 1). Solve -k = 5*a - g*a for a. -3 Suppose 6*i - i = 20. Let m be 140692/(-170) + (-2)/5. Let v = m - -830. Solve i = -v*g + 6 for g. 1 Suppose -4*r - 3*g + 74 = 0, -9*g + 10*g + 6 = 0. Solve -30*i + r = -37 for i. 2 Suppose 39 + 21 = -5*d. Let f be (-2 - -1)/(d/144). Suppose 3*q - 4*k = f, 2*k - 4 = -q + 4*k. Solve -p - q = p for p. -2 Suppose 252 = 355*a - 813. Solve -a*z = -30*z + 189 for z. 7 Suppose -12*v = -7*v + 3*y + 6, -4*y = 5*v + 8. Let s be (8 + 0)*2/4. Suppose -s*i = -14 + 2. Solve -2*x + i*x = v for x. 0 Let y be 84/280*190 - (3 + -2). Solve v = y*v - 110 for v. 2 Suppose 2*m - 82 = 4*l - 34, 2*m - 69 = -3*l. Solve -58*k = -m*k - 140 for k. 5 Suppose 5*f + 405 = 14*f. Solve -36*i + f*i = 9 for i. 1 Let j(l) = 7*l**2 + 21*l + 8. Let z(x) = 13*x**2 + 40*x + 17. Let i(n) = -11*j(n) + 6*z(n). Let r be i(-2). Solve 5*a + 15 = -r*a for a. -3 Suppose -b = 3*d - 13, 4*b + 0 = -2*d + 22. Suppose -u = j - 1 - b, 15 = -u + 3*j. Suppose -r + u*g - 3 = -2*g, 2*g - 8 = 0. Solve w - r = 2*w for w. -5 Let q be 111*(-15)/(-2)*56/63. Let p = q - 733. Solve 0 = 2*k + p*k + 45 for k. -5 Let x be (-1)/((10/5)/(7/(28/(-104)))). Solve x*v - 81 = -159 for v. -6 Let j(g) = -12*g + 324. Let k be j(27). Solve -2*u + 8 = -k*u for u. 4 Let s(m) = -m**2 - 7*m + 8. Let o = 28 - 35. Let a be s(o). Suppose -2*y - 18 = -a*y. Solve -y*r - 2 + 14 = 0 for r. 4 Suppose -358*m + 293*m + 390 = 0. Solve -2*u + 6 - m = 0 for u. 0 Suppose 63 - 91 = -14*i. Suppose 2*s = -3*b + 15, -3*s - 25 = -7*b + i*b. Solve b*l - 8*l + 12 = 0 for l. 4 Suppose -9 = 4*p - 13, -4*k + 4*p + 20 = 0. Solve -105*b + 107*b = -k for b. -3 Let c(j) = 2*j - 22. Let f be c(12). Let b be (4/(10/5))/(f/4). Suppose -i - b = 0, 1 = 3*t + 3*i + 4. Solve 0*q - t = q for q. -3 Suppose 0 = -32*v + 35*v - 12. Suppose 0 = 2*c - v*x - 22, -5*c + 8 = x - 14. Solve 3*h - 2 = c*h for h. -1 Suppose 3*b - 48 = 2*b. Let y be (b/7)/(44/462). Let v be 300/y + (-2)/12. Solve 4 = -4*d - v for d. -2 Suppose -722 = -5*k + a, -6*a + 712 = 5*k - 2*a. Solve -71*r = -95*r + k for r. 6 Suppose 4*y = 5*p - 74, 0*y + y + 29 = 2*p. Solve -p*j - 21 = -7 for j. -1 Let d(n) = 26*n + 133. Let p be d(-4). Solve -21*t = p*t + 200 for t. -4 Suppose 5*p - b = 65, -40*b + 39*b - 13 = -p. Solve -72 = -p*n - 5*n for n. 4 Let b be ((60/(-9))/(-5))/(10/45). Let y be ((-42)/(-10) - 1)/(b/30). Solve 3*i - 7*i = y for i. -4 Suppose 2*t = 7*t + 20. Let z be ((-86)/t)/(6 - (-11)/(-2)). Let w = 55 - z. Solve -v + w = 3*v for v. 3 Let d = 9216 - 9178. Solve 31*s = d*s for s. 0 Let l = -61 + 67. Let u be 213/18 + 1/l. Let p(o) = o - 10. Let c be p(u). Solve -c*s - 11 = -5 for s. -3 Let n be 13104/42 + -1 + 4. Let f = 319 - n. Solve -7*p - 10 - f = 0 for p. -2 Suppose 5*o = -415 + 455. Solve -5*h + h - o = 0 for h. -2 Let v(w) = 2*w**2 - 6*w**2 - w**2 - 21 + 7*w**2 - 34*w. Let h be v(18). Solve 5*n = 2*n + h for n. 5 Suppose 0 = -71*r - 437 + 934. Solve -r = -36*p - 43 for p. -1 Suppose -32*a - 4 + 3 = -1. Solve 8*h + 217 - 241 = a for h. 3 Suppose 8606 = 135*y - 730 - 2139. Solve -41*x - y = -58*x for x. 5 Suppose -m - 15 = -4*m.
{ "pile_set_name": "DM Mathematics" }
6*-1. Let a be -42 - ((57 - 40) + -64). Let l(z) = -z**3 - 2*z**2 + z - 1. Let j be l(-3). Solve s = a*r + 3*s - 6, -3*r - j*s = b for r. 2 Let z(p) = -54*p**2 + 3*p - 9. Let q be z(2). Let w = -214 - q. Solve -2*u = 2*k, w*k + 1 - 5 = -4*u for u. -4 Let v = -68 - -73. Suppose 2*i + 15 = v*i. Solve l + 0*u = -4*u + 8, -3*u + 23 = i*l for l. 4 Let j be 5 + (-2)/1 - 56. Suppose -10*b + 269 = 3*i - 12*b, -5*i = -4*b - 449. Let x = j + i. Solve -u + 11 = 3*m, 2*m = -5*u + x - 7 for u. 5 Suppose 21 = -3*a + 6. Let l(b) = -7*b - 33. Let o be l(a). Solve -3*v = -o*d + 18, -d - v - 7 = -2*d for d. 3 Let p = -145 - -147. Let b = 36 - 36. Solve b*z - k = p*z + 4, 2*z - 4*k - 16 = 0 for z. 0 Suppose -10*y - 4 = 20*y - 4. Solve y = -4*d - 4, 5*d + 4 = -l - 6 for l. -5 Let a = -277 + 277. Suppose 182*s - 186*s + 16 = a. Solve s*j - 16 = 0, -21 = -6*c + c + j for c. 5 Let y be 3/(-42)*-49*4/7. Solve -3*u = 79*s - 84*s + 30, 16 = -2*u + y*s for u. -5 Suppose 4*h = -5*y + 5, -3*h - 4*y - 9 = -13. Suppose -a + 3 = s, h = -4*a + 1 - 13. Solve -4*p + 3*m - s = 0, 3*m = p + p for p. -3 Suppose -4*h - 6 + 66 = 4*n, -66 = -4*n - 5*h. Solve 0 + n = u + q, -3*u - 5*q + 37 = 0 for u. 4 Suppose 3 = 5*s - 27. Let t be (-4)/(-6) - (-30)/9. Suppose 4*j + 3 = -2*u + 29, -5*j + 13 = -t*u. Solve -28 = 5*q + 4*g, j*q + s*g + 26 = 3*g for q. -4 Let j(p) = 8*p**2 - 68*p - 29. Let b be j(9). Solve 0 = -4*x + b*g - 8*g, 5*x - 3*g = 0 for x. 0 Let o = 62 + 74. Let d = o - 136. Suppose -96 = -8*k - d*k. Solve -20 = -6*p + 4*p - 3*f, 2*f + k = 5*p for p. 4 Suppose 82*y + 456 - 710 = 648. Solve -4 = 3*j - 5*l, -2*l + 17 = j + y for j. 2 Suppose -56*u - 47*u = -0*u + 4635. Let l(m) = -4*m**2 + 5*m - 1. Let i be l(4). Let f = i - u. Solve f = 4*z - 4*g + 4, -2*z + 4*g = -4 for z. -4 Let p be (4 - 0)/(-14 - -15) + -1. Solve 3*g + 4*k + 32 = 0, p*g - 4*k - 7 = 1 for g. -4 Suppose 8 = p + 5. Let q(z) = -z**3 - 5*z**2 - 23*z - 73. Let c be q(-4). Solve -u + 0*u - 14 = -4*f, -p = f + c*u for f. 3 Let h(j) = -j**3 - 8*j**2 - 5*j + 15. Let c be h(-7). Let d be (10/20)/((c*-1)/(-14)). Solve -5*u + d = 3*m, 2*u + 5*m = -11 + 10 for u. 2 Let r be 3/15 - (-84)/(-20). Let f(n) = n**2 - 10*n - 1. Let x be f(r). Let z = -46 + x. Solve 2*d = 4, j + 2*d = z - 3 for j. 2 Let k(m) = -44*m - 568. Let s be k(-13). Solve -2*b = -6*o + 8*o + 8, -2*o = -s*b - 16 for b. -4 Let x(k) = -5*k + 27. Let q be x(5). Suppose -q*m + 3*m = 2. Solve -2*d + 6 = m*o, 3*d = -d + 12 for o. 0 Let d(q) = -153*q + 11787. Let x be d(77). Let i(m) = m**2 - 4*m - 10. Let a be i(7). Solve 5*o - 7 = x*o + 4*r, -2*r = 3*o + a for o. -3 Let z(o) = 74*o - 6878. Let k be z(93). Let a(m) = m**2 + 4*m - 6. Let u be a(-6). Solve -5*n = 2*i + 24, -5*i + u = -0*i - k*n for i. -2 Let n be ((-14)/4 - -4)*-50. Let t = n + 20. Let z(i) = i + 7. Let h be z(t). Solve 0 = -4*j + 12, m = 2*m + h*j - 5 for m. -1 Let r(a) = a**3 + 39*a**2 + 38*a + 3. Let n be r(-38). Solve q = i + 3, n*q - 2*q + 5*i - 3 = 0 for q. 3 Let a(s) = 26*s - 81. Let t be a(2). Let u be (4/6)/(t/(-87)). Solve 6*i - 10 = 2*q + u*i, 5*i = -4*q + 19 for q. 1 Let h(l) = l**3 - 193*l**2 + 184*l + 1592. Let b be h(192). Solve -58*f + b*f = o + 15, 5 = -4*o + 3*f for o. -5 Let o = 7411 - 7398. Solve -c = -4*m - o, 0*c + m - 3 = -c for c. 5 Suppose -5*u - 96 = -2*i - 98, -i + u + 2 = 0. Solve -i*v = -3*a + 20, -4*a - 25 = -3*a + 5*v for a. 0 Let g be (-2)/(12 + ((-14819)/(-42))/(-29)). Solve 0 = 4*n - l + 10, -g*n + 10*n - l = -4 for n. -1 Let b = -3882 - -3886. Solve 0 = b*o, 0 = c - 6*c + 3*o + 20 for c. 4 Let j = 891 + -886. Suppose a + j*r - 17 = 0, -4*a - 6*r + 2*r + 20 = 0. Solve -3*f - a*b = -5*b - 6, 5*f + 3*b - 26 = 0 for f. 4 Let w be -6 - (-783)/15 - (-2)/(-10). Let d = 50 - w. Let a(q) = q**3 - 5*q**2 - 2*q + 6. Let g be a(6). Solve -3*t = -d*o + 1 + 2, 5*o + g = -3*t for o. -3 Suppose -3*z = -5*q - 24, -z + 8 + 0 = -3*q. Let l be 16/28*28/z. Solve -2*h + 2 = -l*p, 0*h + 4 = -h - 4*p for h. 0 Suppose 6*q - 1 - 11 = 0. Suppose -7*w + q*w = -2*d + 37, 3*d - 50 = 2*w. Solve 4*i + 2*l = d, 4*i = 2*l + 2*l + 16 for i. 4 Suppose 3*h + 20 = -2*h, 5*o - 22 = 3*h. Suppose 4*q + 14 = -a + 3*a, 19 = 3*a - 5*q. Solve 8*u - a*u + 5*z - 5 = 0, -3*z + 23 = -o*u for u. -4 Suppose -3*q + 46 = -2*z, 3*q - 43 = 4*z + 37. Let k = z + 27. Suppose 23*c + k = 28*c. Solve -6 = c*w + 5*b - 23, -w - 14 = -2*b for w. -4 Let l be -3 - (-11 - -8 - 15/(-6))*26. Solve 2*o - 4 = x, -2*x + l = 3*o - 3 for x. 2 Let y = -650 - -650. Solve -5*c - 3*s + 35 = y, -6*c - 3*s - s + 44 = 0 for c. 4 Let u(s) = -136*s - 2242. Let w be u(-17). Solve z - 10 = -0*z + 3*a, 9*a = -5*z - w for z. -5 Let u be 1*-1 + (7 - 4). Let r be (-8)/4*(-10 + 4 + 5). Solve -5*i = -u*j + 14, j = r*i - 0*i + 6 for i. -2 Let d(m) = -5*m**3 - 30*m**2 + 21*m - 63. Let a be d(-7). Solve 2*x + 5*w + a = 0, 9*w = -4*x + 4*w - 45 for x. -5 Suppose 2*h = 10*h - 56. Suppose 0 = 6*m + h*m - 39. Solve -5*c - 15 = 0, 5*f = m*f + 5*c + 17 for f. 1 Suppose 56 = -4*s + 208. Suppose -y - y = s. Let q(n) = n**2 + 17*n - 31. Let x be q(y). Solve -2*b + 3*f + 4 = -x, 9 = b - 5*f for b. 4 Suppose 0 = -115*n - 204*n + 8294. Solve 5*u = -w - 11, -4*w - 29*u + n*u - 10 = 0 for w. -1 Let q(j) = j - 2. Let g be q(6). Suppose 0 = -42*r - 47 - 17341. Let h = r - -436. Solve d = 3*u + 5, -g*d + 5*u - 2 = -h for d. 5 Let b(t) = -2*t**3 - 8*t**2 - 7*t - 2. Let c = 9 - -3. Suppose 0 = 43*o - 47*o - c. Let a be b(o). Solve -2*y = w - a, -4*y + 5*w - 4*w = 13 for y. -2 Let a(v) be the first derivative of -v**2 + 2*v + 3. Let h = 69 - 70. Let g be a(h). Solve -g*p + q - 6*q = -15, -2 = 2*q for p. 5 Suppose 5686*n - 5713*n = -108. Solve -4*g + 34*m + 16 = 37*m, n*m - 16 = 0 for g. 1 Let x(s) = 13*s. Let v(y) = -64*y. Let u(l) = -3*v(l) - 14*x(l). Let j be u(1). Solve n = a - 6*a + j, -24 = 3*n - 3*a for n. -5 Let d(p) = 7 - 3*p**3 + 8 + 21*p + 2 - 5 + 2*p**3. Let z be d(-5). Solve 2*a + 15 = 3*v, 3*v - z = 5*a - 8 for v. 3 Suppose 12*a - 17*a = -5*p, 3*p + 3*a = 18. Solve -6*d + 5*d = 4, 0 = 4*l + p*d - 8 for l. 5 Suppose -47*d + 37 = -45*d - 3*l, -3*d - 4*l = -13. Solve d*k - 8*k + 6 = 5*v, -3*v + 9 = 0 for k. 3 Let a be 18/((-12)/63*12/(-8)). Suppose a*c = 16*c. Solve 20 = 3*l + 4*n - c*n, 10 = 2*l + n for l. 4 Let u(q) = -q - 1. Let t(w) = -6. Let j(b) = -t(b) + 10*u(b). Let y be j(4). Let n = -41 - y. Solve 2*p - 19 = n*f, -f + 4*p = -5*f + 8 for f. -3 Let q be (-3445)/(-35) - 4/(-7). Suppose 3*z + 0 = q. Let r = z + -28. Solve r*d - 5*v = 0, 3*v = -2*d + 31 - 6 for d. 5 Let x(u) be the third derivative of -u**4/4 - 4*u**3 - u**2 - 2*u. Let w be x(-4). Solve w = -5*o - 3*n + 5*n - 33, 4*o + 40 = 5*n for o. -5 Let p be (4/5)/((-208)/(-520)). Let t be (p/(-12))/(115/(-25530)). Solve 0*q + 5*q - 17 = -2*n, -3*n + 5*q - t = 0 for n. -4 Let p = 40 + -40. Suppose 3*k - 9*k + 30 = p. Suppose 6*z = 3*t + 5*z - 10, 3*t - 8 = 2*z. Solve -t*d = 2*q - 10, -2*q + k*q - 3 = -3*d for q. -3 Suppose 3*u + 6 = -v - 28, -u - 125 = 4*v. Let o = v + 34. Solve -f - 5*z - 17 = 0, 0 + 19 = -5*f - o*z for f. -2 Let u(g) = 2*g + 63. Let k be u(15). Let q = k - 78. Solve 6*f + q = i + 2*f, -21 = -3*i + 4*f for i. 3 Suppose 25 = 7*h - 6*h. Suppose 0 = 17*x - 12*x - h. Solve -5 = n, 0*f - x*n - 37 = 4*f for f. -3 Suppose -7*y + 33 + 2 = 0. Suppose 8*q - 10*q = -14. Solve -y*u = -m - 14, 2*u - q*u + 6 = m for u. 2 Suppose 0 = -11*s + 3*s + 40. Suppose -2*d + 5*r + 52 = 7*r, 5*r + 120 = s*d. Solve -5*n = -n + 20, 4*k - d = 5*n for k. 0 Suppose 0 = 5*n - 4*j - 81, -24*j + 26*j = 2*n - 34. Solve 4*c = -3*t - n, t - 5*c = 27 - 6 for t. 1 Suppose -2*q + 27 = q. Let p be q/(-15) + (-48)/(-30). Suppose 2*y - 41 + p = 0. Solve -6*b + 5*b = -c, 2*b + 2*c - y = 0 for b. 5 Let q be (-100)/(-2950) - (-234)/59. Solve 3*s = -4*t - 5 + 15, q*t = -s + 6 for t. 1 Let h = 768 + -764. Suppose 13 - 21 = -h*f. Solve -t = -w + 3*t + 24, f*t - 6 = -4*w for w. 4 Let f(p) = -12*p**2 - 231*p - 53. Let b be f(-19). Solve b*t - 6 = -2*s, 5*t - 4 = 2*s - 1 for t. 1 Let p be (-171)/(-24)*792/297. Solve -4*j - p*g + 15*g + 4 = 0, 4*j - g + 1 = 0 for j. 0 Let z be 82*6/(-36)*-6. Suppose -4*c = -4*r + 296, -2*r + 0*r - 5*c + 169 = 0. Let t = z - r. Solve -t*x = m + 7, -m + x - 4*x = 5 for m. -2 Let f(g) = g**3 - 63*g**2 -
{ "pile_set_name": "DM Mathematics" }
Let x = -4466 - -4517. What is the remainder when 1047 is divided by x? 27 Let r = 1163 + -1150. Suppose 18 = 4*w - 18. What is the remainder when 4*w - (-5)/5 is divided by r? 11 Suppose -q + 330 = 4*q. Suppose -5*i + q = -219. Suppose 164 = 18*n - 52. What is the remainder when i is divided by n? 9 Suppose -4*q = 4, 8 = 5*l - 4*q - 6. Calculate the remainder when ((-32)/10 - -3)/(l/(-310)) is divided by (-82)/(-5) - (-8)/(-20). 15 Suppose -2*v + r = -5, 0 = v + r - 25 + 21. Suppose -4*b - 4*g + 251 - 35 = 0, -v*g = -b + 38. What is the remainder when b is divided by 21? 8 What is the remainder when 294 is divided by ((-7)/112*-24)/(3/398)? 95 Let p(z) = z**3 + 3*z**2 - 7*z - 1. Suppose -4*k = -3*k + 1. Let h be (4 + k)/1*(-12)/9. What is the remainder when 39 is divided by p(h)? 6 Calculate the remainder when 98 is divided by (-5)/((-7)/35 + (-2 - (-28)/15)). 8 Suppose 0 = -5*c + 25, 4*o - o - 2*c = 1478. Calculate the remainder when o is divided by 12. 4 Let w(g) = 26*g**2 + 6*g - 38. Let u be w(3). Let j = -94 + u. Calculate the remainder when j is divided by 11. 10 Suppose 24*r - 42 = 3*r. Suppose 0 = -r*m + 2*a + 99 + 101, 4*m - 416 = -4*a. What is the remainder when m is divided by 15? 12 Calculate the remainder when (-35688)/(-144) - ((-246)/(-36) - 7) is divided by 119. 10 Let z = 30454 - 30412. What is the remainder when 190 is divided by z? 22 Let z be (-358)/4 - (66/(-12) + 6). Let c = z - -133. What is the remainder when c is divided by 5? 3 Let z = 748 - 488. Suppose 5*a - a = -z. Let t = 108 + a. What is the remainder when t is divided by 15? 13 Suppose 1713*o = 1718*o - 7785. What is the remainder when o is divided by 82? 81 Let o be (1/1)/(2/8). Suppose o*m + 9 = 105. Suppose 0 = 3*l - h - 44, 3*l + h - 10 = 30. What is the remainder when m is divided by l? 10 Let y(k) = -2 - 11*k**2 - k**2 - 5 + k**3 - 2 - 12*k. What is the remainder when 0/(-1) + (-88)/(-4) is divided by y(13)? 2 Suppose z + 4*g - 14 = 0, -12*z + 5*g = -9*z - 25. Suppose 32*m + 1050 = 47*m. What is the remainder when m is divided by z? 0 Let z(x) = 9*x - 37. Let h(v) = -2*v - 10. Let y be h(-8). Let s = 116 + -68. What is the remainder when s is divided by z(y)? 14 Let t be (-50)/(-325) - (-2)/(-13). What is the remainder when (-5*(t - 1))/(8/232) is divided by 30? 25 Suppose 0 = 3*a - 148 + 154. Let n be ((-1385)/(-30) - 0) + a/12. Suppose 5*d - n = -3*x + 17, -31 = -x - 5*d. Calculate the remainder when 125 is divided by x. 13 Suppose -3*r + 18 = 3*z - 12, -2 = -2*r. Let h(v) = 24*v - 194. What is the remainder when 30 is divided by h(z)? 8 Let p(j) = j**2 + 2*j - 2. Let h be p(-2). Calculate the remainder when (190/h)/(-2 - -1) is divided by 16. 15 Let v = 94 - 103. Suppose 0 = -k - 3*f + 71, k = -4*k + 5*f + 295. What is the remainder when k is divided by v/((-36)/8) - (-12 + -2)? 14 Let f be (114/9*-1)/(4/18). Let j = f - -117. Suppose 0 = 3*g - 12 - j. Calculate the remainder when g is divided by 5. 4 Suppose 42*t = 39*t + 18. Let a = 24 - t. Calculate the remainder when 52 is divided by a. 16 Suppose 3*b + 8973 - 26073 = 0. Suppose 28*x - 32*x + b = 0. Calculate the remainder when (x/(-4))/(-5) - (-6)/8 is divided by 25. 22 Let f = 62 + -51. Let n(z) = z**2 + 4*z - 3. Let a be n(-7). Calculate the remainder when 247/6 + (-3)/a is divided by f. 8 Let x be 7/21 + 17/3. Suppose 25*r - 425 = -0*r. Calculate the remainder when ((-94)/x)/((-1)/3) is divided by r. 13 Let s = -6660 + 7587. What is the remainder when s is divided by 155? 152 What is the remainder when 5821 is divided by -2 + (-2298)/(-54) + (-80)/(-180)? 40 Let k(q) = q**3 - 7*q**2 + 10*q - 10. Let b(i) = -26 - 16 + 2*i + 30. Let g be b(9). What is the remainder when 109 is divided by k(g)? 11 Suppose -17*n = 5*w - 21*n - 416, 6*w - 488 = 2*n. What is the remainder when 224 is divided by w? 64 Let n(x) = -x**2 + 29*x + 416. What is the remainder when 718 is divided by n(-10)? 16 Let a(j) = j**3 - 15*j**2 + 7*j - 11. Suppose -5*t - 18 = -3*t. Let l be 1/((-15)/25)*t. What is the remainder when a(l) is divided by 16? 14 Suppose 20 = 2*t + 136*k - 134*k, -k + 30 = 3*t. Calculate the remainder when 3578 is divided by t. 8 Suppose -2*h = 8, 3*h = -197*z + 193*z + 3936. What is the remainder when z is divided by 325? 12 Let k = 666 - 411. Let p = 88 + k. What is the remainder when p is divided by 8? 7 Suppose 5*l = 3*l + 84. Let g(z) = 7*z + 12. Let r be g(9). Suppose 3*x + 2*x - r = 0. What is the remainder when l is divided by x? 12 Let k(c) = c**2 + 17*c + 93. What is the remainder when k(19) is divided by 87? 81 What is the remainder when 358 is divided by (-12)/18*((-693)/(-2))/(-7)? 28 Let m = -15233 + 15317. What is the remainder when 1077 is divided by m? 69 Let b(j) be the second derivative of -4*j**3/3 + 2*j**2 - 4*j. Calculate the remainder when 103 is divided by b(-6). 51 Let r = 8359 - 8219. Calculate the remainder when 421 is divided by r. 1 What is the remainder when 10/(-6)*((-1644)/3 + -7) is divided by 32? 29 Let g = -400 - -614. Suppose -94 = 3*x - g. What is the remainder when 199 is divided by x? 39 Let n(g) = 2*g**2 - 27*g - 601. What is the remainder when n(-13) is divided by 13? 10 Suppose -15821 = -2*w + 5*d, 4*w = 10*d - 5*d + 31657. What is the remainder when w is divided by 99? 97 Suppose -2*c + 386 = -32*h + 34*h, 5*h - 5*c = 905. What is the remainder when h is divided by 83? 21 Let w(l) = -l**2 + 16*l - 20. Let f be w(14). Suppose 15*x = f*x - 126. What is the remainder when (x/(-27))/(-1) - (-89)/3 is divided by 5? 4 Let h be ((-4 - -3)/(-1))/(3/(-138)). Let q = 108 + h. Calculate the remainder when q is divided by 3/2*10 - 2. 10 What is the remainder when 493 is divided by (-25 + 23)/(4/(-968))? 9 Let o = 2584 + -2598. Let r(f) = -6 - 4*f - 14 - 2. Calculate the remainder when r(o) is divided by 9. 7 Let r be (-188)/(-14) + 264/462. Suppose 0 = 7*p + r*p - 588. Suppose 3*f - 113 = 298. Calculate the remainder when f is divided by p. 25 Let o be 25*-5 - (-48)/(-8). Let q = 163 + o. Calculate the remainder when q is divided by 17. 15 Let h be (4 + -4)/(-7)*(-2)/4. Let l = 9 + 2. Suppose -6*t + l*t - 405 = h. Calculate the remainder when t is divided by 28. 25 Suppose -54*t + 16 = -50*t. Suppose -13*z + 16*z = k - 77, -2*z = -t*k + 338. Calculate the remainder when k is divided by 26. 8 Let r(s) = -27*s + 43. Let h be r(-9). Suppose -5*m - 17*m + h = 0. Calculate the remainder when 1 - 2 - -1 - -48 is divided by m. 9 Calculate the remainder when 548 is divided by (-1946)/(-32) - (-744)/3968. 60 Let x(r) = -13 - 18*r - 13 + 51*r. Let v be x(4). Let k = 125 - v. Calculate the remainder when 48 is divided by k. 10 Let f = 73 + -59. Suppose 7*p = -4*p + 704. What is the remainder when p is divided by f? 8 Suppose 9*h + 144 = -0*h. Calculate the remainder when 24 is divided by -4 - h/4 - -5. 4 Let o(a) = -9 + a**3 - 17*a**2 - 3*a**2 + a - 14*a**3 + 14*a**3. What is the remainder when 46 is divided by o(20)? 2 Let d = -1542 + 683. Let b = 1047 + d. Suppose 4*h - 26 = 5*t - 80, 0 = t - 3*h - 13. What is the remainder when b is divided by t? 8 Let x(p) = -13*p - 195. Let c(v) = 2*v + 2. Let z(d) = -c(d) - x(d). Calculate the remainder when 19 is divided by z(-17). 1 Suppose 4*l - 112 = 18*l. Let x(h) = 2*h**2 + 8*h - 8. Calculate the remainder when x(l) is divided by 20. 16 Suppose 2*x = -3*m + 432, 101 + 43 = m - 2*x. Let l = 199 - m. What is the remainder when l is divided by 5? 0 Let t(h) be the first derivative of -27*h**2/2 - 6*h + 9. Let v be t(-1). Calculate the remainder when 56 is divided by 7/v + (-29)/(-3). 6 Let h = -3761 + 3765. Calculate the remainder when 365 is divided by h. 1 What is the remainder when (6 + -14 - -879) + 11 is divided by 26? 24 Let p(s) = 21*s**2 - 105*s - 794. What is the remainder when p(-7) is divided by 18? 16 Let p(l) = -22*l + 235. Suppose -5*o = -3*o - 3*j - 101, -o = 4*j - 34. Let f = o - 11. Calculate the remainder when p(6) is divided by f. 33 Suppose -2*y - 93 = -993. What is the remainder when y is divided by 147? 9 Suppose y + y = -4*i + 330, -75 = -i - 3*y. Let c = -62 + 72. Suppose 3*o + c - 1 = 0, 2*s + o - 41 = 0. What is the remainder when i is divided by s? 18 Suppose -3*t + 2*j + 2114 = 0, 2*t + 7*j - 1384 = 2*j. Calcu
{ "pile_set_name": "DM Mathematics" }
5 (c) 2/69 b What is the fifth biggest value in 1/5, 2/3, -0.1, 422, -1? -1 What is the fifth biggest value in 4, -4707, -4, 11, 0.5? -4707 Which is the third biggest value? (a) 74 (b) 0.2 (c) -8 (d) 3/2 (e) -3 b What is the smallest value in -1740, 2, -5/2, 3/2? -1740 What is the smallest value in -5, 4, 2/13, 3, -4/13, 46? -5 Which is the second biggest value? (a) -0.3 (b) -4.2 (c) 0.4 (d) 2/15 (e) 21 (f) 2 f What is the fourth smallest value in -1/7, 3612, -1/3, -3? 3612 What is the third smallest value in 3, 2/11, 2/331, 3/313? 2/11 Which is the biggest value? (a) -2/7 (b) -31.875 (c) 2 c Which is the smallest value? (a) -2.6 (b) 4 (c) -4140 c What is the second biggest value in -3, 1/20, 1, -0.1, 4/3, -0.5? 1 Which is the biggest value? (a) 0.2 (b) 4 (c) -2/1197 (d) -51 b What is the third biggest value in 1000, 60, -1, -2, -5, 5? 5 Which is the second biggest value? (a) 0.3 (b) 155 (c) -5 (d) -1.7 a What is the fifth smallest value in 23, 1/39, 5, -0.1, 4? 23 Which is the second biggest value? (a) 3/2 (b) -18 (c) -3/2 (d) -42 c What is the fourth biggest value in -2/7, 0.4, -4, 7/4, 3, 4? 0.4 What is the sixth biggest value in -2/13, -2, -22, 2/7, -12, -6? -22 What is the smallest value in 37.04, 0, 2/33? 0 Which is the second biggest value? (a) -2/9 (b) -1/32 (c) -13 (d) -3/10 a Which is the sixth smallest value? (a) -3 (b) 0.2 (c) 4 (d) 0.3 (e) -6 (f) -1078 c Which is the third smallest value? (a) 2 (b) -3.2 (c) 0.17 (d) -235 c Which is the fourth smallest value? (a) 3 (b) 11/4 (c) 1/5 (d) 478 d Which is the second smallest value? (a) 0.03 (b) -15 (c) 525 a What is the third biggest value in -11, -0.6, 1, -2809? -11 Which is the smallest value? (a) 1/15 (b) -32/7 (c) -1.1 b Which is the third biggest value? (a) 3.9 (b) 0.08 (c) 10 b Which is the fourth biggest value? (a) -13 (b) -1.3 (c) -9/2 (d) 1/7 (e) -4 c Which is the third biggest value? (a) 1930/17 (b) 0 (c) 5 (d) 2/3 d What is the fifth smallest value in -43, 0.4, -5/6, 6, -0.2? 6 Which is the sixth biggest value? (a) 36 (b) -2 (c) -1/9 (d) -4 (e) 5 (f) -3 d Which is the second biggest value? (a) 3/5 (b) -0.86 (c) 0.1 (d) 1 a Which is the biggest value? (a) -2/19 (b) -5 (c) -2/7 (d) 2/97 d What is the second biggest value in -2/88189, 0.3, -4? -2/88189 What is the fifth smallest value in -0.5, 0, 0.2, -11, -4/7, 14/3? 0.2 What is the third smallest value in -7, 321, 0.009? 321 What is the second biggest value in -5, -989, -1/18? -5 What is the third smallest value in -49, 5, 1513, -5? 5 Which is the third biggest value? (a) -0.088 (b) 7 (c) 1.14 a Which is the fifth smallest value? (a) -0.9 (b) -0.04 (c) -2/9 (d) -82 (e) 2 (f) 1 f What is the second biggest value in 4, -0.1, 3, 0.49, 2, 0? 3 What is the smallest value in -1/2, 1/19, 1/2, -0.045, -2? -2 Which is the fifth smallest value? (a) -41 (b) -1 (c) 14 (d) 2/9 (e) 3 (f) 0.5 e Which is the second smallest value? (a) -4 (b) -1/6 (c) -1.57 c Which is the biggest value? (a) 217 (b) 6 (c) 12 a What is the fourth smallest value in -24, -367/5, 5, -0.5, 0? 0 What is the fourth smallest value in 0, -0.2, 4, -0.1, -30, 0.4? 0 What is the biggest value in -2.833, -9, -4? -2.833 What is the second smallest value in -0.3, -0.5, 3, 6, -30, -1? -1 What is the smallest value in 317, -3, 765? -3 Which is the fourth smallest value? (a) 0.13 (b) 12 (c) -4 (d) -1/6 b Which is the third smallest value? (a) 109 (b) -2 (c) -2/11 a What is the fourth biggest value in -1/40, 3/28, -5/4, 3? -5/4 What is the fifth smallest value in 29, 0.09, 4/7, 3, -1/12? 29 Which is the fifth biggest value? (a) 29 (b) 2 (c) 17/3 (d) -2 (e) 28/17 d Which is the second biggest value? (a) 2.1 (b) 8116/5 (c) -2 (d) -1/4 a Which is the second smallest value? (a) -95 (b) -3 (c) 39 (d) -0.5 b Which is the biggest value? (a) 197259 (b) 0.5 (c) 3 (d) 0.1 a Which is the third biggest value? (a) 2 (b) 15/7 (c) -2/9 (d) 119 a Which is the third biggest value? (a) -36056 (b) -0.5 (c) 1/8 a What is the third biggest value in 0.4, -1883, 1/5, 0, -0.1? 0 What is the biggest value in -1233, 31, 5/2? 31 Which is the fourth smallest value? (a) 0.4 (b) 4.5 (c) -20 (d) -0.0592 b What is the third biggest value in -0.2, 50/9, -4, -5/3, -2/7? -2/7 Which is the biggest value? (a) 48 (b) -2/5 (c) 0.1 (d) -5 (e) 1/4 (f) -1/4 a What is the third smallest value in 1.5, 2, 4, 1/3, -4/9, -1? 1/3 Which is the second biggest value? (a) -2 (b) -56 (c) 8 (d) 4 d What is the fourth smallest value in -491, 3/2, 2/823, -0.4? 3/2 Which is the third smallest value? (a) -31/3 (b) 16.4 (c) -6 b What is the second smallest value in -0.1, 0.4, 45313? 0.4 What is the second biggest value in 2/5, -2/23, 106, -55, -2? 2/5 What is the third smallest value in 0.4, -5, 1, -2, -514? -2 What is the third smallest value in -3, -2, 3/22, -7? -2 What is the biggest value in 0, -1/4, 5/14, -292, 4? 4 Which is the third smallest value? (a) -1/2 (b) 61.04 (c) 4 b Which is the biggest value? (a) -1/4 (b) -3/4 (c) 144 (d) 156 d What is the third biggest value in 2/9, 0.05, 0.3, -1/7? 0.05 Which is the fourth biggest value? (a) 0 (b) 2/11 (c) 5 (d) -0.5 (e) 0.4 (f) 1/14651 f Which is the second biggest value? (a) -0.4 (b) 4/7 (c) 5 (d) -3/26 (e) -2 b Which is the second biggest value? (a) -9 (b) -2 (c) 0.17 (d) 60 c What is the second smallest value in -0.07, 3, -0.2, 3387? -0.07 Which is the second smallest value? (a) 0.6 (b) -2 (c) 11912 (d) 0 d What is the third biggest value in 19, -0.05, 1, 5.3? 1 Which is the biggest value? (a) -4 (b) -62557 (c) -2/5 (d) 3 (e) 0.1 d What is the biggest value in 5/6, 4, -21, 7, 2/11? 7 Which is the third smallest value? (a) 8/5 (b) 2 (c) 2/9 (d) -632 a What is the fourth smallest value in 3.7, 10/99, -2/3, 1? 3.7 What is the second smallest value in -0.1, 39, 2, -0.29, -5, 7? -0.29 What is the third biggest value in 4, 9801, 3/8, -5? 3/8 Which is the third biggest value? (a) -18 (b) -2/45 (c) 4 (d) -9 d Which is the third biggest value? (a) -1 (b) 0 (c) 0.5 (d) -775 (e) -0.1 e What is the third smallest value in 3/7, 0.063, -25? 3/7 What is the second smallest value in -1.28, 0.3, -3, 5, -2, -0.19? -2 What is the smallest value in 0.2, -0.5, 19, -103? -103 Which is the second biggest value? (a) 6 (b) -0.2 (c) 2 (d) -1 (e) 2/53 c Which is the second biggest value? (a) 0.5 (b) 3/7 (c) 3954966 a Which is the third smallest value? (a) -22 (b) -2 (c) 3/4 (d) 4/51 d What is the second biggest value in 2, 0.8, 49, -5, -5/3? 2 Which is the fifth biggest value? (a) 0.2 (b) -39 (c) -0.5 (d) 6/19 (e) -7 b What is the fifth biggest value in 3, 4, 187, 0.3, -8? -8 What is the fourth smallest value in 2/9, -0.2, 4/3, 34? 34 What is the biggest value in -0.5, -1, -0.3, -2, -294.54? -0.3 Which is the sixth smallest value? (a) 2 (b) 12 (c) 0.02 (d) 2/7 (e) 9/2 (f) 0.5 b Which is the third smallest value? (a) -2/5 (b) 144279 (c) -0.5 b Which is the second biggest value? (a) 2402 (b) 2/11 (c) -8 (d) -2/11 b Which is the second biggest value? (a) 48/107 (b) -4 (c) -83 b What is the third biggest value in -2.6, -701/3, -3? -701/3 Which is the smallest value? (a) 0 (b) -2 (c) 399 (d) -3/229 b What is the smallest value in -5, 0, 6/17, 3, 3969? -5 What is the biggest value in -454, -0.39, 2, 1/11? 2 Which is the fourth biggest value? (a) -6.6 (b) -712 (c) -1 (d) 4 (e) -2/3 a What is the smallest value in 0.3, -7.8, 5, 42? -7.8 Which is the biggest value? (a) 4/7 (b) 0 (c) 5 (d) -4 (e) -2/5 (f) 46/11 c Which is the third biggest value? (a) 1 (b) 2/5 (c) -0.61 (d) -2/7 (e) -4 d What is the fourth smallest value in 0.2, -2/3, 0.1, 3, 2/17, -2/1147? 2/17 Which is the fifth smallest value? (a) 2/3 (b) -5/8 (c) 5 (d) -125 (e) -1/2 c Which is the third biggest value? (a) 1 (b) -1073 (c) -3/4 (d) 16 c What is the third smallest value in 88, -0.12, 0.02? 88 Which is the smallest value? (a) 2/11 (b) 319 (c) 5/8 a Which is the fourth biggest value? (a) -3 (b) 0.1 (c) 0.003 (d) -5085 (e) -4 e What is the fifth biggest value in 1/6, 0.1, -11, 43, -17, 0.2
{ "pile_set_name": "DM Mathematics" }
l + 6 = -3*o - 19 - 8, 16*o - 3*l = -103 for o. -7 Solve 207 = -16*r + 7*r - 9*j, -5*r + 4*j + 74 = 0 for r. -2 Solve 8*p - 12*i - 61 = -p - 8*i, -16*p + 2*i = -2*i + 7*i - 68 for p. 5 Solve 2*h = -3*a - 12, 24*h + 528*a - 20 = 533*a for h. 0 Solve -2*o + 0 = 5*r - 10, -64 = -10*r + 2*o - 93 + 79 for r. 4 Solve -5*c + 5*b - 90 = -0*c, 5*c - 2*b + 596 - 500 = 0 for c. -20 Solve -3*c + 5*o + 46 = o, 2*c = 3*o + 4337 - 4303 for c. 2 Solve 2423*w - 218 = 2428*w + 46*r, 3*r + 73 = -w - 3*w for w. -16 Solve 15 = 251*s - 507*s + 251*s, -3*s - 15 = 3*y for y. -2 Solve -32*p + 34*p - 2 = 0, -92*p + 14 = -2*b - 88*p for b. -5 Solve 0 = -3*y + 3*q + 125 + 7, -35*q + 30*q = -21*y + 940 for y. 45 Solve -6*k + 140 = -2*h, 367*k + 30 = 369*k - 4*h for k. 25 Solve -3*f = 4*k - 6 + 14, -42*f + 20*k = -37*f + 120 for f. -8 Solve 5*h + 3 + 6 = -3*v - 10 - 2, 32*v = -4*h + 150*v - 378 for h. -6 Solve -6*r + 117 + 82 = j - 15*r - 2*r - 11*r, 5*r = -j - 44 for j. 1 Solve -5*j + 19 = 3*d - 16, 0 = j + d - 1801 + 1788 for j. -2 Solve 105*u = 2*q + 106*u + 52, -3*q + 2*u = 71 for q. -25 Solve -4*a + 3*z = -131, 0 = -9*a + 3*z + 2*z + 274 + 19 for a. 32 Solve 5*m + 8*k = -24, -26 = 29*m - 24*m - k + 16 for m. -8 Solve 8*h - 5*t + t + 91 = -4*h - 37, 276 = -5*h - 54*t for h. -12 Solve -2*h - 77 = 4*n + n, -50*n + 46*n = -3*h + 57 for h. -1 Solve -3*a + 4*l + 7 = 0, 3*a - 5 = -4342*l + 4347*l for a. 5 Solve 3*y - 84 = -y, -142*s + 101 + 60 - 3 = -21*s - 4*y for s. 2 Solve -8 = b - 2*z, -8*b + 20 = 5*b - 2*b + 5*z for b. 0 Solve -35*p = -64*x + 36*x + 33*x - 1145, 9*x = 2*p - 84 for x. -2 Solve 49*r - 101*r = -49*r - 5*o + 36, -7*o = 5*r + 106 for r. -17 Solve b = 7*o - 12*o + 3*o - 21, 77*o + 2*b = 177 for o. 3 Solve -216 = 6*l - 2*q - 2*q, 3*l - 2866*q = -2860*q - 300 for l. -4 Solve -90 = 3*h + 293*a - 302*a, 4*h - 14*a + 138 = 0 for h. -3 Solve -10*l - 4*g - 784 = l + 3*g, 0 = 3*g - 6 + 2 + 10 for l. -70 Solve -45 = 4*a + 2*m + m, 3*a + 645 = 17*m + 669 for a. -9 Solve 3*k + 14309*m + 87 = 14306*m, 2*k + 58 = 3*m for k. -29 Solve -10*d + 62 = -1344*g + 1342*g, -5*g = -3*d + 1 for g. 4 Solve -2*f + 103 = -f - 5*l + 5, 2*f + 32 = -2*l for f. 3 Solve -19441*x + 19437*x = 4*a - 108, x = 10*a - 17 for a. 4 Solve 0 = -4*b + 216, -6*b - 4*b + 3*b + 39 = 2*g - 5*b - 63 for g. -3 Solve -4*v + 14 = 9*m - 30, 17*m - 4*m - 16 = 9*m for v. 2 Solve 0 = 8*p + 16, 3*m + 9360*p - 9357*p + 123 = 0 for m. -39 Solve 148 = -3*l + 259, -142 = -4*s - 2*s - 4*l for s. -1 Solve -3*z - 7 = p, 150374*p - 150369*p - 5*z = -75 for p. -13 Solve -4580*d - 61 = 2*l - 4579*d, 4*l + 4*d + 132 = 0 for l. -28 Solve -5*m - 4*y = 2 + 23, -5*m = -5*y + 4*y for m. -1 Solve 7*k + 24 = q, -106149*k + 106153*k + 14*q - 9*q - 42 = 0 for k. -2 Solve 5*q - 78*r + 130 = 6*q, -8*q + 3*q - 24 = 5*r + 96 for q. -26 Solve -p - 131 = 4*p + 3*x, -p + 2*x - 110 + 206 = -4*p + 6*x for p. -28 Solve 83*y - 108 - 50 = 4*r - 2*r, 2*r - 2*r - y + 50 = 12*r for r. 4 Solve -4*o + 9494*v - 9491*v = 27, 14*o = v - 118 + 33 for o. -6 Solve -2*c + 23 = -7*q, -4*c + 101685*q = 101686*q - 1 for c. 1 Solve -7*v + 7*v + w = 2, 44*v = 16*v - 4*w + 120 for v. 4 Solve 2*d - 10627*n + 10622*n = -54, -44 = 7*d - 3*n for d. -2 Solve 0 = 2*i + 40*k - 43*k + 58, 3*k = 5*i + 46 for i. 4 Solve -5*m = 3*v + 50 + 31, -51*m + 2*v = -55*m - 66 for m. -18 Solve 0 = -4*n + 12*b - 248, 52 = 55*n - 64*n + 3*b + b for n. 4 Solve -10 = 280*w - 277*w - 2*g, -3*w = -7*g + 20 for w. -2 Solve 0 = 3*t + 2*k + 19, -634428*t - 17 = -634425*t + k for t. -5 Solve h + 1157*q = 1148*q - 64, h - 8*q - 21 = 0 for h. -19 Solve -3*f + 24 - 25 = 4*l + 19, 5*f + 6*l + 30 = 0 for f. 0 Solve -r + 47 - 13 = -4*k, -96*r + 101*r + 3*k + 51 = 14 for r. -2 Solve -5*y - 93 = 9*i - 50, 3*i - 8*i - 2*y + 10 = -6*y for i. -2 Solve -8*l + 15 = 2*l - 7*l - 0*y + 3*y, 125 = 19*l - 3*y - 36 for l. 8 Solve 2*j - 37 = -4*g + 91, j = g + 13 - 42 for g. 31 Solve 0 = b + 1730*l - 235*l - 4361 + 1345, 4*b - 5*l = 94 for b. 26 Solve -2*d = 28*r - 45*r - 49, 5*r + d = -d + 27 for r. -1 Solve -2*h + 25*o = 61*o + 1652, 0*h + 2*h = o + 50 for h. 2 Solve 13 = -3*g + 1, -3*s + 3*g + 2 = -0*s - 5*s - 6 - 6 for s. -1 Solve 6*h = -12*f + 9*f + 9, -f + 11 - 35 + 18 = -h for h. 3 Solve 4*y - 10*x - 160 = 0, -3*y - 171131*x = -171129*x + 13 for y. 5 Solve -4*k = 3*r + 15, 6*k - 7277*r = -7278*r + 9 for k. 3 Solve 5*c - 11046 = 4*i - 11091, 0 = -3*c + 4*i - 27 for c. -9 Solve -2*a + 12*r = -246, 0 = -10317*a + 10315*a - r - 14 for a. 3 Solve 1985 = 5*v + 4*n + 2092, 6*v - 7*n = -93 for v. -19 Solve 2*g - 13*x - 78 = 0, -5*g = -3*x + 1247 - 1265 for g. 0 Solve 0 = -4*m + 2*m + 2*q + 20, 0 = 378*m - 383*m - 6*q - 49 for m. 1 Solve 45597*m = 45596*m, -3*b + 2*m - 9 = 0 for b. -3 Solve 4*j = -0*m - 4*m - 68, m - 24*j + 74*j - 130 = 0 for m. -20 Solve 12*j = 14*j + 5*t - 102, 21*j - 3*t + 58 = 19*j for j. 1 Solve v - 2287*a = -2304*a + 49, -5*a = v - 13 for v. -2 Solve 4*n = 4*a, 5*a - 23 = n + 2*a + 5*a - 8 for n. -5 Solve 0 = -5*x - w + 15 + 37, 144*x - 68*x - 2*w + 78 = 73*x for x. 2 Solve 215 = -u - 12*k + 288, 2*u - 4*u + 3*k = -2*k - 59 for u. 37 Solve -7*o = 4*l + 30, o - 20522 + 20509 = l for o. 2 Solve -4*d = 5*w - 30*d + 1476, 121*d - 68 = -11*w + 119*d for w. -4 Solve -5*z - 349 = -8600*y + 8601*y, -3*y + 2943 = -42*z for z. -70 Solve 997*f - s = 1000*f + 5, -f - 4 = -2*s for f. -2 Solve 5*i + 5*t - 4 = -i, 3*i + 35 + 29 = 5*t + 51 for i. -1 Solve -18 = -h + 3*g, 26*g - 28 = -6*h + 17*g + 11*g for h. 3 Solve 2200*f - 2198*f - 49 = 5*t, t = -f - 0*t + 2*t + 11 for f. 2 Solve 4*i + s + 13 = 0, -8*s - 35 = -21*s + 12*s - 36 for i. -3 Solve -4*y + m + 42 = 0, -29*y + 873*m + 354 = 874*m for y. 12 Solve -4*f = 3*g - 91 - 36, -g = 4*g - 2*f - 70*f + 2227 for g. 1 Solve 26*k + 1 = -4*f + 123, -320*k + 316*k = -3*f - 26 for f. -2 Solve -3*x = -3*p + 36, -754*x - p = -758*x for x. 4 Solve -231535*p - 122 = -4*w - 231537*p, -2*w + 5*p = -55 for w. 30 Solve -5*z - 986 = 3*t - 939, 5*t + 95 = 0 for z. 2 Solve -5*j + 34 + 31 = -5*s, -257 = -4*j - 37*s for j. 18 Solve 0 = -2*p - 3*i + 37, -2*p - 16167*i + 47 = -16166*i for p. 26 Solve 5*l = -0*l - 2*z - 191, -12*l + 3*z + 1933 = -64*l for l. -37 Solve 0 = 2*y + 5*z - 11 - 0 - 16, -8*z = -3*y - 68 for y. -4 Solve 0 = -4*s + 5*n - 13, 3*n - 120 = 5*s + 123 - 230 for s. -2 Solve -3*h - 5*j - 472 = -452, 13*j + 13 = 0 for h. -5 Solve -2300*n - 20 = -2291*n + 5*q, 0 = 5*n + q - 12 for n. 5 Solve -s = -3*p + 46, 0 = 5*s - 1782*p + 1783*p + 182 for s. -37 Solve -7*d + 6*d + 2*u = -u - 2*u - 22, d + 27*u + 138 = 0 for d. -3 Solve -3*o - 34 = 2*t, 9 = 3*o - 136 + 145 for t. -17 Solve 113 = 3*a + 13*g, -2*a - g - 205 = -0*g - 219 for a. 3 Solve 2*z = -5*o - 28, 44*o + 36 = 108*o - 60*o - 24*z - 556 for o. 4 Solve -v = -z - 2*z + 26, 757702*v - 757699*v = -19*z + 90 for v. -8 Solve -3*h - 5*w - w = -39, 137*h = 141*h + 2*w - 34 for h. 7 Solve 8*l - l + 0*l - 549 = -9*t + 2*l, -2*l + 183 = 3*t for t. 61 Solve 46 = -2*v + 2*k - 6, -182 = -31*v - 7*k for v. 0 Solve -7*t + 2*t - 6 = 4*a - 12 + 7, -15*a + 5*t + 20 = 0 for a. 1 Solve 0 = -4*l - 2*t + 5*t - 11, -3*l - 18*t + 0 = -12 for l. -2 Solve -5*u + 33 + 88 = 153712*y - 153673*y - u, -2*y + 198 = 5*u for y. -1 Solve -14*l + 145 = p + 266, 5*p - 5*l - 61 = -l for p. 5 Solve -72*n - 4*x = 68*n - 137*n + 22, 0 = -3*n + 13*x + 46 for n. -2 Solve 4*l + 2*x = -30, -2*l = -3*l - 5*x - 2970641 + 2970620 for l. -6 Solve 2*o - 12*t = 141454 - 141490, o + 14 = 5*t for o. 6 Solve -5*d - 58612*t + 58610*t = -39, 3*t - 34 = -4*d for d. 7 Solve -3*k - 178*x + 2340 = 17*x, 4*k - 58 + 4 = -5*x + 6 for k. 0 Solve -8 + 50 = 4*m - 2*z - 8*z, 4*z = -2*m + 12 for m. 8 Solve h - 7 = -5, -33*r + h = -203*r - 338 for r. -2 Solve 0*k = 2*z - 5*k + 4, 8*z - 4*k + 11 + 5 = 0 for z. -2 Solve -5*f + 51 = 5*y - f - 40, -4*f - 80 = -4*y for y. 19 Solve -p = -3*q + 106 + 3, p - 37*q - 6*q + 144 = -39*q for p. -4 Solve 10 = 54*v - 53*v - x, -10*v + x + 6 = -112 for v. 12 Solve 4*c + 2*n = -28, -4*c + 41*n + 63*n - 182 = -c + 25*n for c. -8 Solve 5*t + 35 = -5*c, 127*t + 13 = 238*t - 114*t + 5*c for t. -6 Solve 14*m + 53*m - 4*b + 69 = 62*m, 3*b = 2*m + 50 for m. -1 Solve 871 - 948 = 3*l + 2*w + 2*w, 3*w = 5*l - 65 for l. 1 Solve d + 5*s - 26409 + 26424 =
{ "pile_set_name": "DM Mathematics" }
d = 16274 + -16369. Which is greater: d or -42? -42 Let d be 400/720*(-4)/(-10). Suppose 5*s = 5*w - 35, 0*w - 4*s = -w + 16. Let j be (12/(-28))/(w/14). Is j bigger than d? False Let y be (-40806)/(-24937) + 698/44. Let z be (-34)/(2/2*-2). Which is bigger: z or y? y Suppose -3*z = 4*p - 16 - 13, 0 = 4*p - 20. Suppose 12 = -4*r - 4*g, 2*g + 20 = -3*r + 13. Let o be r/((-12)/(-3)) + 54/24. Which is greater: o or z? z Suppose 0*s - 69 = 5*k - s, -2*k = -2*s + 26. Let i be k/28 + 38/92. Which is smaller: -4 or i? -4 Suppose 168*i = 4*n + 165*i + 54, -4*i + 69 = -5*n. Let a be 10/(-15) + (-13)/3. Let v(c) = c - 3. Let x be v(a). Is x < n? False Let o = -156.86 + 157.86. Which is bigger: 16.8 or o? 16.8 Let k be 811/(-6) + 6/(-54)*12. Let m = k - -9281/68. Which is smaller: m or -1? -1 Let d(k) = -k**3 + 2*k - 27 + k**3 + 11152*k**2 + k**3 - 11142*k**2. Let h be d(-9). Which is smaller: 37 or h? h Suppose -3*g + 2937 = -5*w, 6*g - 5*g + 2921 = -5*w. Let p = 547 + w. Suppose 5*m + 59 = -n, -183 = -0*n + 5*n - 3*m. Is p smaller than n? False Let z = 6684 + -6683.9. Is 2482 at most as big as z? False Let m(n) = -9*n**2 - 37*n + 34. Let s be m(-5). Let r be 2/7 + 12/7. Which is smaller: s or r? s Let f be (4/5)/((-8122)/43885). Is -4 < f? False Let q = 25652.9 + -25653. Do q and 2904 have the same value? False Let d = 0.28 + -0.58. Let a = 545.052 - 542. Let g = a + -0.052. Which is bigger: g or d? g Let m = 8.702 + -0.202. Let u = m + -185.5. Which is smaller: 0 or u? u Let r = 1104595/87 + -12697. Is -1 >= r? False Suppose 1876 = -14*v - 2128. Is -2873/10 at least v? False Let c = 28795.988 - 28796. Which is greater: c or -172? c Let p = -1424 - -1424.5. Are p and 0.9 nonequal? True Let x = 1995 - 2052. Which is greater: x or -6/13? -6/13 Suppose 27*p + 156 = -87. Let w = 14 - 7. Let d(f) = f**2 - 9*f + 4. Let x be d(w). Which is bigger: p or x? p Let d be (-3 + 0)*(-27012)/(-60) - 6/15. Which is smaller: -1355 or d? -1355 Let b = -4.204 - -0.004. Let x = b - -112.2. Let j = 107 - x. Which is smaller: 0.33 or j? j Suppose 2*b = -2*t + 386, 0 = -2*b + 9*t - 8*t + 383. Is 2124/11 >= b? True Let s(r) = -r**3 + 30*r**2 - 26*r - 31. Let n be s(29). Suppose -156 = -2*h - 46. Let k = n - h. Is 2/7 >= k? False Suppose -21 = -3*l - 3*c, -2*l - 15*c + 10*c = -20. Let a be (2 + ((-544)/(-182) - l))*4. Is 0 bigger than a? True Suppose -2*u = -3*h + 2*u + 1678, -u = h - 571. Let m = -29431/52 + h. Suppose 0 - 2 = -b, 2*n - 2*b = -2. Is n <= m? False Let j be 276/273 - 8/52. Let y = 36 - 29. Let s be (-2)/(-14) - (-6)/y. Does j = s? False Let z(b) = -b**3 + 10*b**2 - 8*b - 7. Let l be z(9). Let n be (21*34/30)/l. Let f = n - 57/5. Which is smaller: -1 or f? -1 Let m be (4/292)/(0 + -1). Let g = 0.33439 - 0.26439. Which is smaller: m or g? m Let m = -7344 + 13143/2. Let u = m + 29299/38. Is 0 at least as big as u? True Let o = 53 - 50. Let p be (14 + (o - 5))/(-1). Let c = 14 - 25. Which is smaller: c or p? p Let q = 23561 - 4971360/211. Which is bigger: q or 1? 1 Let k = 1.6114 + 164.3886. Let j = -3 + 4. Are j and k nonequal? True Suppose 0 = -5*a + 10*a + 5*c - 4460, -2*a - c = -1784. Which is bigger: a or 895? 895 Let r be (-2 + 6)/(2/535). Does 1068 = r? False Suppose -5*z = -3*x + 232, -2*z = 2*x - 200 + 40. Suppose 0 = 5*q + 9 - x. Which is greater: q or 18? 18 Suppose -2*s - 4752 = -3*p, -s + 8*p - 2337 = 13*p. Is -0.2 < s? False Let a = 375 + 314. Let m = -767 + a. Is -80 at most as big as m? True Suppose -3*y = 9, 4*d + 18*y = 22*y - 2124. Which is greater: d or -538? d Let r = 2710 - 2710.2. Is r bigger than 775? False Let r(o) = -7*o + 18. Let g be r(-4). Let d = 65 - g. Let q = d - 50. Which is smaller: -30 or q? q Let v be ((-1917821)/(-111) + 2/(-3))*(-10)/(-15). Is v bigger than 11518? False Suppose -6*s - 2*w - 585 = -s, 117 = -s - 3*w. Let p be (30/(-4))/((s/(-54))/(-13)). Which is bigger: 2 or p? p Let i be (-88)/(-440) + 5477/15. Which is greater: i or 365? i Let n be (-1547)/3185 + -1*(-4)/14. Let h = 6 + 6. Suppose 5*m + 8 + h = -5*k, -22 = 3*k + 5*m. Is n >= k? False Let n = -0.00375 - -4849.00375. Does -0.1 = n? False Let t be 26/24 + (-2)/8. Let p(o) = -10*o**3 + 6*o**2 - 8*o + 2. Let z be p(2). Let h be (2 - (-102)/(-63)) + (-20)/z. Is h != t? True Let m be (-6 - -5)*(3 - -1). Let l be (m + 18 - 5)/((-3180)/8). Which is smaller: l or 1? l Let v = 22235 - 22239. Is -2804 < v? True Let w = -13778 + 13738. Let l = 2 - 6. Let d be (-1)/l*82*-2. Does w = d? False Let u = -599.1 - -548.1. Which is smaller: u or 12? u Suppose 0 = -3*s + 4*b + 18178, 18213 = -38*s + 41*s + 3*b. Is s at most as big as 6066? True Let v be (9 + 370/(-42))*(-70)/(-132). Which is bigger: 1 or v? 1 Let t = -3871 + 3845. Which is smaller: -27 or t? -27 Let m = -0.1557 + -824.8443. Let q = m - -824.996. Are q and -3/2 equal? False Let w = -8015 + 7485. Which is smaller: w or -528? w Let q = 451 - 885. Let g be ((q/32)/7 - -2)/2. Is 0 not equal to g? True Let j(q) = q**3 + 39 - 6799*q - 131 + 6804*q - 11*q**2. Let f be j(9). Do -209 and f have the same value? True Let p = 34.014 - 34.06. Are -22 and p equal? False Let d = 229 + -175. Let j = d - 82. Which is smaller: 0 or j? j Let q = 16 - -36. Let v = -125 + q. Let z = -62 - v. Which is greater: z or 12? 12 Let i be (2/4)/(10/(-20)). Let h be (-231)/14 - i/(-2). Is h less than or equal to -20? False Let f = 19/2 - 10. Let v(m) = -m**3 - 42*m**2 - 119*m - 91. Let l be v(-39). Let z be l + -9 + 6 + -9. Is z less than f? True Let w = 1311 + -1399.9. Let l = -0.1 + w. Let s = l - -89.1. Which is smaller: 1.9 or s? s Let j = -16.3 - -17. Let m = j + -1. Let x = 33402 + -33403. Is m less than x? False Let r be ((-5 - -8) + -4)/(1/(-53)). Let j = 54 - r. Let g be j*(-3)/6 - 155/(-70). Is -2 > g? False Let n = -39 - -52. Let t = -14.23 + n. Let p = t - 0.97. Does p = 0.2? False Let i(g) = 10 + 15*g**2 - 2 + 19*g - 23*g**2 + 1 - g**3. Let l be i(-10). Suppose h + 0*n - 22 = n, 0 = -2*h - 3*n + l. Which is greater: h or 15? h Let j(s) = s**2 - 9*s - 834. Let l be j(-28). Which is bigger: l or 217? 217 Let d(a) = -a**3 + 19*a**2 + 9*a - 27. Let u be d(20). Let n = u + 213. Is n smaller than -35? False Suppose 3*s + 223 = 5*z, 0*s + 112 = -2*s - 4*z. Let g be (3/(-7))/(s/(-44)). Let r = 76 - 44. Is g equal to r? False Let l be (188/94)/(-1 + 3). Which is smaller: -2/39001 or l? -2/39001 Let p = 32.464 + 0.036. Let i = 33.5 + p. Is 0 < i? True Let r = 17496 - 17338. Is r at most as big as -40? False Let s = 3487 - 3486. Is s at most as big as 12/1471? False Suppose 0 = -5*r - 2*z, -5*z - 9 = 3*r - 2*z. Let j be r + -4 + (-18)/(-8). Is j smaller than 2/17? False Let a = 15.18 + -15.18. Which is greater: a or -1526? a Suppose -3*l + 4*b + 81 = 0, 109 = 4*l + 2*b + 23. Let v = -21 + l. Let u be (0 + v)*(-15)/35. Is -2 > u? False Let u be 4522/18459*3/4 - (-3)/(-18). Is u < 1? True Suppose t = -6*t + 6384. Suppose 33*p = 25*p - t. Do -114 and p have the same value? True Let z = 290.91 + 0.09. Let g = -213 - -427/2. Which is smaller: z or g? g Let f = -9.1408 + 8.8408. Let x = -2 - -2. Suppose 2*c - 14 - 4 = x. Is f at most as big as c? True Suppose 0 = -k + 2*q - 124, -2*k + 10*q = 11*q + 223. Let j(s) = 2*s**2 - 7*s + 1. Let b be j(-5). Let p = b + k. Which is smaller: p or -27? p Suppose -13 + 21 = 4*f. Suppose 0 = a + f*x + 9, -x - x = -a + 7. Which is smaller: 3 or a? a Let c = 5357 + -5356.93. Let x = 14.5 + -14. Which is bigger: c or x? x Let l(m) = 13*m - 12. Let s(q) = 3*q - 3. Let a(k) = -4*l(k) + 18*s(k). Let p be a(5). Suppose p*b = 10*b + 6. Is b >= -2/23? False Let d = 1 - 2. Let n = 2753408/11 - 250310. Which is bigger: d or n? n Let q be -1 + 5998/(-40) - (-18)/(-72). Let d = 180664/1195 + q. Does 1 = d? False Suppose -5*b = 18*d - 11*d + 287, -3*d = -5*b + 123. Let f(v) = -4*v**3 - 3*v**2 + 2*v - 2. Let u be f(2). Is u bigger than d? False Let n = 197.8 - 5.8. Let x = n + -311. Which is smaller: -2 or x? x Let y = 2/67285 - -175411987/269140. Which is smaller: y or 652? y Let b be -2*(-7 - -6 - 21/(-2)). Suppose -8*u + 601 = 569. Which is smaller: b or u? b Let w(k) = -6*k**2 - 10*k - 7. Let o be w(-4). Let m = 64 + o. Is m not equal to 6/5? True Let z(c) = c**2 - 12*c + 15. Suppose -14*y = -15*y + 11. Let f be z(y).
{ "pile_set_name": "DM Mathematics" }
g**3 + 8*g**2 + 12*g + 5. What is the remainder when 96 is divided by x(a)? 16 Let g(b) = -2*b**3 + 142*b**2 - 133*b - 503. Let x be g(70). Let m be -5 - (0 - (2 + -2)). What is the remainder when 2/1*m/10*x is divided by 7? 6 Suppose -196 = -3*v - z + 736, 5*z - 1570 = -5*v. Let y(x) = -6*x**3 + 15*x**2 + 70*x + 138. What is the remainder when v is divided by y(-2)? 97 Let y(b) = 7*b + 667. Calculate the remainder when 999 is divided by y(-94). 0 Let g(p) = -34*p - p**3 - 15*p**2 + 32 - 5*p**2 - 3 - 11*p + 2*p**3. Calculate the remainder when ((-1)/(-2))/(2/184) is divided by g(22). 4 Let k(b) = -b**2 + 10*b + 16. Let o be k(11). What is the remainder when ((-4)/(-3) - o/15)*299 is divided by 20? 19 Let t(z) = 5228*z**2 - 53*z - 52. What is the remainder when t(-1) is divided by 16? 13 Let f = -184 - -272. Calculate the remainder when f is divided by 2*(-1 + -19)*1/(-2). 8 Let b = -208 - -212. Suppose -c + 66 = b*c - 3*h, 4*h + 20 = c. Calculate the remainder when 42 is divided by c. 6 Let n(z) = -57*z + 1. Suppose -3*w = 3 - 0. Let y = 1314567 - 1314549. What is the remainder when n(w) is divided by y? 4 Let n(f) = f**3 - 5*f**2 - 9*f - 6. Let q(t) = -164*t - 321. What is the remainder when q(-3) is divided by n(7)? 26 Let l(z) = 4052*z - 103. What is the remainder when l(1) is divided by 24? 13 Let x(i) = 12*i - 12. Let f = -83 - -90. Let d be x(f). Suppose -3*c - d = -6*c. What is the remainder when 119 is divided by c? 23 Let d = -93 + 149. Let j(t) = 8*t**2 - 4*t - 2. Calculate the remainder when j(-3) is divided by 2/7 - (-208)/d - -24. 26 Suppose 5*a - 1020 + 208 = -2*u, 3*a = u + 485. What is the remainder when a is divided by (-2)/(-3) - (-86)/6? 12 Suppose -8*k + 5*y - 1708 = -4*k, 5*y = 0. Let i = k - -474. Calculate the remainder when 58 is divided by i. 11 Let h(t) = t**2 - 35*t + 249. Calculate the remainder when h(36) is divided by 6. 3 Let a be (-8 - (-4 - -3))*(-5 + -21). Suppose 0 = 4*j - 2*f - a, -j + 91 - 49 = -4*f. Calculate the remainder when j is divided by 29. 17 Suppose 6*v = -c + v + 18, 73 = 3*c - 4*v. Let j(g) = -g**3 + 4*g**2 + 3*g + 14. Let p be j(5). Calculate the remainder when c is divided by (-8)/2*(5 - 23/p). 2 Let w(p) = 4*p**2 + 17*p + 48. Let g(c) = -20*c**2 - 84*c - 241. Let a(j) = 2*g(j) + 11*w(j). Calculate the remainder when 73 is divided by a(-3). 23 Suppose -2*m + 3*m = -9. Let s be (-28)/(-126) + 20/m. Let w(z) = -15*z - 3. What is the remainder when 76 is divided by w(s)? 22 Suppose 4*n - 5 + 45 = 0. Let m be -3 + 6 - (-10)/n. Suppose -6*j = -m*j - 108. Calculate the remainder when j is divided by 17. 10 Let t(o) = -o**2 + 10*o - 3. Let h be t(9). Calculate the remainder when 2/(32/156) - (-9)/(-12) is divided by (-2)/(h/4 + -2). 1 Suppose -27*l + 16 = -29*l. What is the remainder when 171 is divided by (0 + -4)/l*50? 21 Let f(i) = -6*i - 62. Let s be f(-10). What is the remainder when 265 is divided by s/3*(-56 - 1)? 37 Suppose a + 4*g = -4*a + 227, -2*a = -3*g - 77. What is the remainder when a is divided by 1? 0 Let y = -6143 + 6180. Calculate the remainder when 47 is divided by y. 10 Suppose -7*s + 45 = 10. Suppose 7*f = s*f + 138. Suppose -5*j - 39 = -f. What is the remainder when 23 is divided by j? 5 Let q = 558 - 123. What is the remainder when q is divided by 20? 15 Let o be (-4 - -5)/(-2 - 85/(-40)). Calculate the remainder when 117 is divided by (-2)/o - (-1067)/44. 21 Let v = 528 - -427. Calculate the remainder when v is divided by 161. 150 Let b be 116/261*(-27)/12*-2. Let f = -46 - -138. Suppose b*w + 2*w = f. What is the remainder when w is divided by 14? 9 Suppose 6*n - 4*p = n, -4*n - 4*p + 36 = 0. Suppose 0 = 4*r - 0*r + n. Let t = r + 22. Calculate the remainder when t is divided by 12. 9 Let y(q) = 3*q**3 - 3*q**2 - 20*q + 53. Calculate the remainder when y(4) is divided by 69. 48 Suppose 504 = y + 7*y. Suppose -y = -5*x + 87. Calculate the remainder when 419 is divided by x. 29 Let o = -1067 + 582. Let q = -474 - o. What is the remainder when q is divided by 8? 3 Let w(y) = y**3 - 25*y**2 + 41*y + 1. What is the remainder when w(24) is divided by 69? 64 What is the remainder when ((-2)/24)/(33/(-44)) + 9998/9 is divided by 21? 19 Let l(f) = -2*f**2 - 380*f - 2183. What is the remainder when 11874 is divided by l(-6)? 24 Suppose 17 = -5*w + 37, -x - 2*w = -83. Let s = x + -49. Calculate the remainder when 125 is divided by s. 21 Suppose 176*h - 183*h + 546 = 0. Suppose 0 = -h*r + 63*r + 135. What is the remainder when (-170)/(-4) - (-2)/(-4) is divided by r? 6 Let z be (0 + 2)/((-3)/(-9)). Let c be ((-21)/7)/(z/(-140)). Let k = -42 + c. What is the remainder when 55 is divided by k? 27 Let r = -14781 - -15294. What is the remainder when r is divided by 5? 3 Suppose -4*x = -i - 3, -x = 2*x - i - 1. Let j = -259 + 265. Suppose x*l = -j*l + 48. What is the remainder when 10 is divided by l? 4 Let a(v) = -v**2 + 6*v + 101. Let g(h) = -h**3 + 11*h**2 + 7*h + 53. Let q be g(12). What is the remainder when 47 is divided by a(q)? 7 Let r(t) = -t**3 - 12*t**2 - 11*t + 18. Let l be r(-11). Let x = 30 + l. Calculate the remainder when 167 is divided by x. 23 Let l(a) = 4*a**2 + 55*a - 253. What is the remainder when 1235 is divided by l(-19)? 67 Suppose 17*j + 3*j = 7*j. Suppose 2*s - 186 = 3*u - 765, 4*s = j. Calculate the remainder when u is divided by 102. 91 Suppose 5*b = 5*y + 15, 99 = y + 94. Suppose 248 = b*d - 448. What is the remainder when d is divided by 37? 13 Let n = 4572 - 4402. Calculate the remainder when n is divided by 44. 38 Let w be ((-2)/(-3))/(2/15). Suppose 3*d = -t - 2*d - 30, 0 = -3*t - w*d - 50. Let v(z) = 3*z**2 + 22*z - 7. Calculate the remainder when v(t) is divided by 16. 9 Suppose -581*s = -572*s - 72. Let a be ((-5)/(-2))/((-7)/(-70)). Suppose 5*m = -10 + a. What is the remainder when s is divided by m? 2 Suppose 147 = 3*z + 41*x - 40*x, 4*z - 2*x - 196 = 0. Calculate the remainder when 1418 is divided by z. 46 Let o(c) = 7*c - 2. Let n = -112 + 115. What is the remainder when o(n) is divided by (-2)/(-7) + (-19)/(-7)? 1 Suppose -l - i + 264 = -5*i, 2*i - 2 = 0. Suppose l = 39*r - 35*r. Calculate the remainder when r is divided by 26. 15 Let p = 346 - 240. Suppose 5*k + 16*q - 17*q + 244 = 0, -3*q = -k - 60. What is the remainder when p is divided by 1005/90 - 40/k? 10 Let b be (38/4)/((-3)/(-6)). Let h(y) = 28*y - 346. What is the remainder when h(b) is divided by 47? 45 Let f = 19238 - 19181. What is the remainder when 1326 is divided by f? 15 Suppose -92 = -181*x + 177*x + 376. Calculate the remainder when 461 is divided by x. 110 Suppose 4*c - q = 124, 3*c + 44 = 5*c - 5*q. Let b = -28 + c. Suppose -4*w - 3*a = -99, -w = b*w + 4*a - 125. What is the remainder when 57 is divided by w? 15 Let v(a) = a**2 + 47*a - 2. Let u be v(-40). Let l = u - -367. Calculate the remainder when l is divided by 56. 29 What is the remainder when (-94 + 97)*2370/9 is divided by 232? 94 Suppose n + 104 = 3*n. Let q = 50 - n. Let w(o) = 3*o**2 - 1. Calculate the remainder when 43 is divided by w(q). 10 Suppose 8*t - 2407 = -903. Let d = t + -158. Suppose 4*l - 234 = 2*l. What is the remainder when l is divided by d? 27 Let l = -5065 - -5151. What is the remainder when 325 is divided by l? 67 Let v = 4629 - 4565. What is the remainder when 693 is divided by v? 53 Let y = -228 - -92. Calculate the remainder when (-4)/(32/654)*y/51 is divided by 55. 53 Let n(x) = -5*x - 6. Let g be 9/(-3) + -1 + 3. What is the remainder when g/6 + (-5710)/(-60) is divided by n(-6)? 23 Let v(d) = 19*d**2 - 1. Let i(m) = m**2 - 125*m - 773. What is the remainder when v(-1) is divided by i(131)? 5 What is the remainder when ((-1)/(35/23604))/((-10)/(1000/30)) is divided by 94? 86 Let f = 2028 + -2000. Calculate the remainder when 1398 is divided by f. 26 Let k(d) = 4*d + 4. Let c(x) be the first derivative of -24*x**2 - 253*x - 33. Calculate the remainder when c(-6) is divided by k(4). 15 Let u = 10942 - 10710. Calculate the remainder when 1181 is divided by u. 21 Let i be (-454)/(-18) + (7 - (-650)/(-90)). Suppose 0 = 6*c - i*c + 190. What is the remainder when 348 is divided by c? 8 Let r = -131 + 134. Let n be (r - (-25)/(-10)) + (-18)/(-4). Suppose n*k + 13 = -p, k + 3*k = -2*p - 2. Calcul
{ "pile_set_name": "DM Mathematics" }
y(5). Which is the closest to 3/2? (a) h (b) f (c) -2 b Let a be 424/(-1378)*26/4. What is the closest to -2 in -4, a, 4, 2? a Let h = 4 + 7. Let w = -0.08 + 0.28. Which is the closest to -2/7? (a) -5 (b) h (c) w c Let n = 48.2 + -42. Let t = n + -6. Which is the closest to 1/2? (a) 4 (b) t (c) -3/7 b Let x = 135/4 - 34. Which is the nearest to -2/41? (a) -0.1 (b) 0.4 (c) x a Let z = -1303/9 + 145. Let w = -11.999 - -14.999. Which is the closest to z? (a) w (b) -4 (c) 0.2 c Let h be 4/6*(-27)/6. Let s = -30.1 - -0.1. Let g = -27 - s. Which is the closest to 1? (a) 0.4 (b) g (c) h a Let v be (-16)/96 + (-7)/(-6) + -5. Let j be 9/(-18) - ((-3)/(-6) + -1). What is the nearest to v in -3, j, -0.3? -3 Suppose -59*z = -60*z + 30. Suppose -28*w - 6 = -z*w. Let l = 2 - 2.5. What is the nearest to 0.1 in -5, l, w? l Let w = -3.6 + 0.6. Let g = -2 - w. Let c = -156 - -153. What is the closest to g in 1/7, c, 1? 1 Let n = -40.74 + 41. Let s = -0.36 + n. Let f = 1.95 - -0.05. What is the nearest to s in -5, f, -1? -1 Let i = 0.251 - 0.151. Let p = -0.4 + -4.6. Which is the closest to i? (a) 0.3 (b) -4/3 (c) p a Suppose 4*m = -13 + 17. What is the nearest to 0 in 1/4, 0.5, m? 1/4 Let w be (-26)/14 - 16/((-112)/7). What is the nearest to -3 in 0.5, w, -3? -3 Let r = -1844.6 - -1845. Which is the nearest to 0.8? (a) -1 (b) r (c) 19 b Let n = -0.8 + 0.5. Let m = -1.3 - n. Let q = -5.574 + 5.174. What is the closest to m in -0.3, q, 2/13? q Let o = 26.9 + -36. What is the closest to o in 1, -5, 1/6? -5 Let j = -1.2 - 77.8. Let x = 76 + j. What is the closest to 0 in 2/13, x, 0.2? 2/13 Let h = 4.22 + 0.78. Suppose d - 3 = -1. What is the closest to -2 in d, 0.4, h? 0.4 Let j = 345 + -359. Which is the nearest to -0.2? (a) j (b) 1/2 (c) -0.1 c Let i = -1.4 + 6.4. Let d = 92 + -179/2. Which is the nearest to -2? (a) -1 (b) i (c) d a Let k(v) = -4*v + 97. Let r be k(23). Let m = 0.221 - -0.079. Which is the nearest to r? (a) 3 (b) -6 (c) m a Suppose -270*d + 6 = -272*d. Which is the nearest to d? (a) 3 (b) 0.2 (c) 0.42 b Let l = -128 - -127.01. Let d = 1.49 + l. What is the closest to -1/2 in -0.3, d, -2/11? -0.3 Let k = 0.1048 + -6.1048. What is the nearest to -2 in 0.29, k, 0.4? 0.29 Let s = -1371.4 - -1371. What is the closest to 4 in 2.1, s, 2/3? 2.1 Let q = -4/211 - 625/422. Which is the nearest to 1/4? (a) 0.3 (b) q (c) 0 a Let y = -83.5 - -83. Let h be (-6)/(-2) - (-28)/(-12). What is the nearest to -1/4 in 5, h, y? y Let g(u) = 16*u**3 + 2*u**2 + u. Let k be g(-1). Let m be 18/k*5/15. Which is the nearest to m? (a) -2 (b) -1 (c) 4/7 b Let p be ((-12)/(-18))/(4/(-6)). Let u = 23.5 - 23. Let l = -0.4 + 0.4. What is the closest to l in p, u, -4? u Let t = -89/50 - -7/25. What is the nearest to 2/3 in 0.45, -3, t? 0.45 Let k(j) = -j**2 + 3*j + 2. Let w be k(4). Let d be -1 - (w + -3)/(-25). Which is the nearest to d? (a) 0.3 (b) -2/5 (c) 0.2 b Let h = -0.81 - -0.11. Let d = -0.8 + h. Let w = d - -1.6. What is the nearest to w in 2/15, -4, 1/5? 2/15 Suppose -7*t - 4 = -18. Let v = -2 - 2. Which is the nearest to 1/4? (a) v (b) 9 (c) t c Let y be -3 - (-12)/105*2670/(-3). Let d = -105 - y. Which is the closest to 1/3? (a) -1 (b) d (c) -5 b Suppose 3*r + 3 = -4*o - 6, -3 = o + r. What is the closest to o in -0.3, 6.8, 2? -0.3 Let l be -8 - (9 + -1 + -12). What is the nearest to -2 in -3, -11, 2/7, l? -3 Let x = -179 - -119. Let j = x + 61. Which is the closest to j? (a) -0.4 (b) -5 (c) -2 a Let x = 0 - 0.1. Let l = 638/27 + -10792/459. Which is the nearest to 0.1? (a) -0.4 (b) x (c) l c Let h = 0.09 + -4.09. Let d = h + 3.5. Let n be (-3)/27*15/(-20). Which is the nearest to -1? (a) -3 (b) n (c) d c Let h = -1.1 - -1. Let m = -64 + 63.8. Let f = 73/4 - 35/2. What is the closest to m in -1/3, h, f? h Let k = 295.4 + -295. What is the closest to -7 in 4/7, -4, k? -4 Suppose 2*t - 6 = -4*j + 2*j, -9 = -t + 2*j. Which is the nearest to -0.1? (a) -0.3 (b) t (c) 3 a Let f = -1145 + 1147. Which is the closest to -1? (a) -4/3 (b) f (c) 81/5 a Let i = -35957/7 - -5137. Let d = -0.9 - -4.9. Which is the nearest to i? (a) -1/7 (b) d (c) 0 c Let w = -83 - -59. Let l = 23.7 + w. Let t = -9/2 + 5. Which is the nearest to -0.2? (a) l (b) t (c) 5 a Let n = 30 + -29.8. Let b be (8/14)/((-102)/(-21)). What is the nearest to -2/9 in -4/3, n, b? b Let x be -1 + (92/20 - 4) - -1. Which is the nearest to 23? (a) x (b) -0.5 (c) -4/3 a Let w be (31 - 1)/(-3) + 6/3. Let x be (w/(-72))/(0 - 3/(-18)). What is the closest to 2/3 in x, 3, -1? x Let r = 185 - 181. Let m = -48 + 145/3. Which is the closest to m? (a) 1/6 (b) r (c) 5 a Let a = -36 - -35.978. Let i = -1.522 - a. What is the nearest to i in -2, -5, 0.3? -2 Let n = -0.442 - -0.842. Suppose 4*q - 9 = q. Which is the nearest to -1? (a) -1/10 (b) n (c) q a Let i = -166 + 169. Which is the nearest to 5? (a) i (b) 0.2 (c) 5/2 (d) -2 a Let y = 46.24 - 0.24. Let v = 47 - y. Which is the nearest to v? (a) 0.4 (b) -5 (c) -4 a Let h = 161 + -110. Let s = h + -50.9. Which is the nearest to s? (a) -1/6 (b) -5 (c) 3/7 a Let o be (-62)/(-279) + 2/(-18)*83. Which is the closest to 0.1? (a) -1 (b) o (c) -0.5 c Let z = 0.557 - 0.257. Which is the nearest to 0.5? (a) -4/7 (b) z (c) -3/5 (d) -4 b Let p(v) = -v**2 + 17*v + 60. Let h be p(20). Let l be (340/18)/5 + -4. Let f = -11 + 7. Which is the closest to h? (a) -0.4 (b) f (c) l c Let s = 0.11 - 0.81. Let k = -0.8 - s. Let l = -0.2 + -0.8. Which is the nearest to 1? (a) l (b) 2 (c) k b Let a = 9/112 + 47/112. Let p = -1.98 - 0.02. Let u = -7 + 12. What is the closest to a in p, 0.1, u? 0.1 Let f = -486 + 482. What is the nearest to 1 in -5, f, -3, -2? -2 Let o be (-1 + 3)*1/82. Let y = o + 75/287. Let v = -211/4 + 103/2. What is the nearest to 2 in y, -1, v? y Let g be (-12)/(-54) - 17/36. Suppose 4*q - 5 + 9 = 0. Which is the closest to g? (a) -0.3 (b) q (c) 0.1 a Let l = 46.8 + -47. What is the closest to l in -4, -1, 3? -1 Let c = 10 - 16. Suppose -u = -3*l + 2, -4*l + 3*u + 5 + 1 = 0. What is the closest to l in -5, 0.5, c? 0.5 Suppose -t + 4*j = 3*j - 6, 0 = -t + 4*j + 12. Let h be (t - (0 + -1))*77/(-77). Let o = -1 - -1. Which is the nearest to o? (a) -2 (b) h (c) -0.4 c Let a = -42.7 + 42.8. Let t(b) = b**3 - 2*b**2 + 2*b - 2. Let i be t(2). What is the closest to 0.1 in -4/7, a, i? a Let k be (2/28)/(2/8). Let y = -16.65 - 2.45. Let h = 19 + y. Which is the closest to h? (a) -5 (b) k (c) 2/9 c Let q = -750 + 750.1. What is the closest to -0.01 in 0.3, q, -2/15, 6/5? q Let v = -2.138 - -0.098. Let r = v - -0.04. Which is the nearest to r? (a) -1/11 (b) -4/9 (c) -0.1 b Let h(s) = -s**3 + 6*s**2 - 4*s + 8. Let w be h(4). Let g(o) = 2*o - 47. Let b be g(w). What is the closest to -2/9 in 2, b, 2/5? 2/5 Let p = 738 - 728. What is the nearest to -1 in -4/7, 0.2, p, -0.2? -4/7 Let i(g) = g**2 - 4*g + 6. Suppose -8 = -3*m + 1. Let s be i(m). Let w = 3.02 - 0.02. What is the nearest to s in -4, w, 4? w Suppose -4*s + 2*o = -14, 3*s + 0*o = -2*o - 7. Let q = -355 - -2482/7. Let f = 8 - 6. Which is the nearest to s? (a) 1/5 (b) q (c) f a Let t(z) be the third derivative of z**4/3 - 5*z**3/6 - 21*z**2. Let j be t(1). Let g = -6 + 6. Which is the nearest to 0.2? (a) j (b) 0.2 (c) g b Let d = -4.4 - -4.5. Let z = 4.7 - 0.7. Which is the closest to d? (a) -2 (b) z (c) 5 a Let x = 2263/16635 - 3/1109. Which is the nearest to -7/6? (a) 4 (b) 1 (c) x c Let l = -41 - -42.7. Let k = l + -1.8. What is the nearest to k in 2/11, -0.4, -5? 2/11 Let v(h) = h**3 + 13*h**2 - 28*h + 30. Let m be v(-15). Which is the closest to 0.07? (a) m (b) 2 (c) 0.3 (d) 1 a Let i = -251 - -248. Which is the nearest to 2/5? (a) 0.4 (b) i (c) -9 (d) 3 a Let m = 48 - 60. Which is the closest to m? (a) -5 (b) 5 (c) 2/5 a Let n = 232.4 - 39.4. Let m = -192 + n. Let r = 1.3 + 3.7. What is the nearest to m in 6/5, r, 1? 1 Suppose 38 = -2*p + 48. Let r be (((-24)/9)/(-2))/(4 - 2). Which is the nearest to 0.1? (a) 0.4 (b) p (c) r a Suppose 0*w = 2*w + 5*h - 25, 0 = -w - h + 8. Let d be (-16)/40 + (-13)/w + -2. Which is the nearest to 1? (a) d (b) 1 (c) -1/2 b Let d be ((-11)/4 + 4)*(-687)/15.
{ "pile_set_name": "DM Mathematics" }
st common divisor of m and 14. 14 Let f = -123 - -501. Calculate the greatest common divisor of f and 14. 14 Let y = -67 + 39. Let h = -20 - y. Suppose h = v + 2. Calculate the greatest common factor of v and 3. 3 Let j(a) = 22*a - 8. Let p be j(3). Suppose -2*i = -0*g - 3*g - 27, -p = -5*i - 2*g. Calculate the highest common factor of i and 84. 12 Let j(n) = n**2 + 5*n + 2. Let u be j(-6). Let c = -34 + 31. Let y be 16/4*(-15)/c. Calculate the greatest common factor of y and u. 4 Let j = -6 - -2. Let l = 6 + j. Suppose -2*a = 3*c - 20, -2*a + 4*a - 20 = l*c. What is the highest common divisor of 40 and a? 10 Suppose j + 4*t + 29 + 5 = 0, -114 = 4*j + 5*t. Let u be 386/26 - j/169. Calculate the greatest common divisor of u and 135. 15 Let m(g) = -g**2 - g + 10. Let q be m(0). Suppose -2*v - q = -40. Suppose -5*t - v = -10*t. What is the greatest common divisor of t and 12? 3 Let d(i) = -41*i - 85. Let z be d(-5). Calculate the highest common divisor of z and 2. 2 Let l(x) = 4*x - 174. Let n be l(48). Calculate the highest common factor of 81 and n. 9 Let q be (133 + 1 - 0)*42/28. Let r = q - 121. Let v(m) = -m**3 + m**2 + m + 10. Let u be v(0). Calculate the highest common factor of u and r. 10 Let v(y) = y**3 + 7*y**2 - 3*y + 15. Let k be v(-7). Calculate the highest common divisor of k and 60. 12 Let g be ((-4)/4)/((-5)/30). Calculate the greatest common factor of g and 48. 6 Suppose 11*c - 6*c - 175 = 0. What is the highest common divisor of c and 25? 5 Suppose 0 = -10*o - 0*o + 50. Suppose 266 - 66 = o*n. Let z(g) = g**2 - 5*g - 4. Let c be z(7). Calculate the highest common factor of n and c. 10 Let h = 109 + -60. What is the greatest common divisor of 7 and h? 7 Let k(c) = -c**2 + c + 8. Let u be k(3). Let i be u*((-6)/(-3) - 20/(-8)). Calculate the greatest common divisor of 81 and i. 9 Let m = -85 + 100. Suppose -l - 3*c + 0*c = 0, 20 = 4*l + 2*c. Calculate the greatest common factor of m and l. 3 Let r = -85 + 120. Let x be r/3 + (-11)/(-33). What is the greatest common factor of 96 and x? 12 Let c(w) = w**2 + 4*w + 36. Let d be c(-18). Suppose -128*i = -125*i - d. What is the highest common factor of 12 and i? 12 Let u be ((-31)/(-93))/(((-2)/90)/(-1)). What is the greatest common divisor of 15 and u? 15 Let w = 236 + -110. Let m = -35 + 35. Suppose -4 = y, 2*y - 6 = -q - m*y. What is the greatest common factor of q and w? 14 Let a(c) = -1 + c**2 + 4*c**2 - c**3 + 4*c + 0*c**2. Let f be a(3). Let h = 42 - f. What is the highest common factor of 143 and h? 13 Let n = 158 + -142. Calculate the highest common divisor of 96 and n. 16 Suppose -r = -0*r - 74. Suppose -r*k = -78*k + 136. Calculate the greatest common divisor of 17 and k. 17 Let w(i) = i**3 + 32*i**2 + 25*i - 100. Let x be w(-31). Calculate the highest common factor of x and 6. 2 Suppose -11*q = -6*q + 60. Let z be (-12)/10*(-160)/q. Let y be 1*(z/(-4) - -17). Calculate the greatest common factor of 7 and y. 7 Let p(x) = 3409*x**3 - x**2 - 18*x + 19. Let g be p(1). What is the greatest common factor of g and 7? 7 Let b = 177 - 45. Let x be (2 + -1)/((-4)/b). Let w = -18 - x. What is the highest common factor of 15 and w? 15 Suppose 15*r - 449 = 361. Calculate the greatest common divisor of r and 36. 18 Let r be (1 - 2)*5 + 3. Let d be (r*2)/((-2)/4). Suppose -7*m = -d*m + 11. What is the highest common factor of m and 1? 1 Suppose 3*f - 10 = -2*f. Suppose 9 = f*x - 19. Let o be 6 + (-225)/54 - 1/(-6). Calculate the highest common divisor of x and o. 2 Let c = 992 - 952. What is the highest common factor of 260 and c? 20 Let r(h) = 2*h + 5. Let d be r(12). Let w be (-2)/(688/348 + -2). Let l be (w + 0)/((-3)/(-6)). Calculate the highest common divisor of d and l. 29 Let x be (-15)/(-2)*((-1280)/(-6))/20. Calculate the highest common factor of 20 and x. 20 Let w be (-3066)/(-114) - (-4)/38. Suppose -5*u + 195 = -4*q, -2*q - 5*u - 56 - 49 = 0. Let o = 131 + q. Calculate the highest common divisor of w and o. 27 Suppose 0 = 2*l + 2*i - 26, 1 = -2*i + 5. Calculate the greatest common divisor of l and 176. 11 Let v = -112 - -45. Let u = -46 - v. What is the greatest common divisor of u and 14? 7 Let c(x) = 18*x**2 - 15*x + 11. Let l be c(-10). What is the greatest common divisor of 74 and l? 37 Let k be (1 - 8/4)*-1. Suppose 0 = -3*b + 4*h - h, -5*b + 4*h = k. Let r = 0 - b. What is the greatest common factor of 4 and r? 1 Let w(k) = -k**2 - 5*k. Let q be w(-6). Let f(n) be the first derivative of -n**2/2 - 2*n + 351. Let d be f(q). What is the highest common factor of 10 and d? 2 Suppose -5*y + 192 = -3*y. Suppose 0 = 4*g - 4*w + 2*w - 44, -w = -2. What is the highest common divisor of g and y? 12 Let k = 2 - 2. Suppose -3*g + 7*g - 20 = 0. Suppose 3 + 52 = 5*o + m, -g*o + 5*m + 25 = k. Calculate the greatest common factor of 50 and o. 10 Suppose 5046 = 13*r + 1315. What is the highest common factor of r and 7? 7 Let a(g) = 33*g. Let t be a(4). Let y be (108/(-3))/(-2 + (-3)/(-6)). Let m = 9 + y. Calculate the highest common factor of t and m. 33 Suppose 2823 = 3*z - 5*t, t - 1412 = -2*z + 457. Calculate the greatest common divisor of 12 and z. 12 Let t be 2818/14 + (-2)/7. Let g = -37 + t. What is the highest common divisor of g and 41? 41 Let n be 2 + 1 - (13 + -26). Let p = -40 - -80. What is the greatest common factor of n and p? 8 Suppose -12*b - 36 = -16*b - 8*y, 2*b = 2*y + 24. Let r = 8 - 11. Let n be 1/r + 67/3. Calculate the highest common factor of b and n. 11 Suppose -252 + 264 = 4*j. Let z = 10 + -10. Suppose 3*p - 5*f = 8, z*f = 4*f + 4. Calculate the greatest common factor of p and j. 1 Suppose -r - 1099 = -5*j, -2*r + 882 = 7*j - 3*j. Let c be (6/(-8))/((-16)/(-576)). Let z be ((-30)/1)/(c/18). What is the highest common divisor of j and z? 20 Let i(m) = 2*m**3 - 7*m**2 + m - 1. Let n be i(4). What is the greatest common factor of n and 323? 19 Let b(a) = -2*a**2 + 42*a - 76. Let j be b(17). Calculate the highest common factor of 108 and j. 12 Let a be (3 + 33 + -9)*1/3. What is the greatest common divisor of 4 and a? 1 Suppose 4*c - 18 = k, -c + 0*k + 3*k + 10 = 0. Let o be (-1)/2*c*-2. What is the greatest common divisor of 20 and o? 4 Suppose 3*i = -13*p + 14*p - 129, -119 = -p + 5*i. What is the greatest common factor of 162 and p? 18 Let f(r) = -r**3 + 4*r**2 + 3*r + 6. Let o be f(5). Let z be 3 + -1 - (-19 + o). Let j = -17 + z. What is the highest common divisor of 2 and j? 2 Let b = 169 + 62. Calculate the highest common divisor of b and 33. 33 Suppose -2 = 2*x, -3*q - 53 = -3*x - 206. Suppose 0 = -4*n + 2*j + q, -j + 35 = 2*n - 0*n. Calculate the highest common factor of n and 3. 3 Let t = -131 + 887. Calculate the greatest common factor of 9 and t. 9 Let j(q) = -8*q - 26. Let s be -18*1*4/6. Let n be j(s). What is the highest common factor of 28 and n? 14 Let q(r) = r**3 - 2*r**2 - 10*r + 6. Let f be q(4). Let n be 5/f*(9/(-3) + -15). Calculate the highest common divisor of n and 180. 45 Suppose 0*r - 24 = -4*r - 4*k, 3*k + 6 = r. Suppose q + 25 = r*q. Let p be (-16)/(-2*q/10). Calculate the greatest common factor of 8 and p. 8 Let s(n) = -2*n - 33. Let t be s(-16). Let q be (t - (-306)/4) + 10/(-20). Calculate the greatest common factor of q and 30. 15 Suppose -18*k + 1820 = 10*k. What is the highest common divisor of 3120 and k? 65 Suppose -13*v = 2*l - 11*v - 2082, -3*v - 1057 = -l. What is the greatest common divisor of 19 and l? 19 Suppose 12 = 4*z + 4. Let x be (0 - 0 - -100)/1. Suppose z*f - 4*f + x = 0. Calculate the highest common divisor of f and 25. 25 Let m be 114/12 + (-2)/((-16)/(-12)). Let g(a) = a**3 + 8*a**2 + a - 2. Let q be g(-6). What is the highest common divisor of q and m? 8 Suppose 3*v = -3*v + 66. Let q(g) = -g**2 - 9*g - 3. Let i be q(-7). What is the highest common divisor of v and i? 11 Suppose 4*p = 2 + 18. Suppose 0 = -p*q + 114 + 31. What is the highest common factor of q and 87? 29 Let t = 10247 - 10182. Let h be (3/(-1))/((-6)/8). Suppose -h*m = -0*m - 3*y - 46, 2*y + 9 = m. What is the greatest common factor of t and m? 13 Let g be (-1533)/(-27) + 6 + (-2)/(-9). Calculate the highest common factor of 36 and g. 9 Suppose 3*j - 325 = -2*j. Suppose 2*r - 52 = -v, -r - 4*v = -2*r + 26. What is the highest common divisor
{ "pile_set_name": "DM Mathematics" }
the second derivative of -47080*x**2 - 144*x + 46 wrt x? -94160 Find the first derivative of -1852*f**3*s**3 - 14*f**3 + 33*s**3 - 2*s + 2864 wrt f. -5556*f**2*s**3 - 42*f**2 What is the third derivative of 368*x**4 + 11*x**3 + 2476*x**2 + 5*x + 4? 8832*x + 66 What is the second derivative of 18*o**4*s**2 - 2547*o**3*s**2 + o*s - 2*o - 20779*s**2 wrt o? 216*o**2*s**2 - 15282*o*s**2 Find the second derivative of -2196216*m**3 + 6256315*m. -13177296*m Find the second derivative of -3*s**4 - 49371*s**2*y**3 + s**2*y - 3*s*y**3 - 4*s*y**2 + 23*s*y + 278*y - 1 wrt s. -36*s**2 - 98742*y**3 + 2*y Find the third derivative of -225457*q**6 + 2*q**3 + q**2 - 103126*q. -27054840*q**3 + 12 What is the second derivative of -1813*s**3*v - 320*s**2*v - 4*s*v + 93792*v wrt s? -10878*s*v - 640*v What is the first derivative of 3*a*h*z - 719*a + 904*h**3*z - 2*h**3 + 16*h wrt z? 3*a*h + 904*h**3 What is the second derivative of c*n**4 + 117997*c*n + 22094*n**4 wrt n? 12*c*n**2 + 265128*n**2 What is the second derivative of 2*q**4 - 7*q**3 - 11469*q**2 - 17062*q - 2 wrt q? 24*q**2 - 42*q - 22938 Find the first derivative of 778682*z - 29631 wrt z. 778682 Differentiate 153*f*l*u - f*l - 35*f*m*u + 10*f*u + 18*l*m*u + 3*l*u + 2*m*u - 9*m + 11*u wrt f. 153*l*u - l - 35*m*u + 10*u Find the second derivative of 6709*o**3 - 25126*o. 40254*o Find the second derivative of -3*f**3*w + 13*f**3 - 2*f**2*w - 64*f**2 + 2346780*f*w wrt f. -18*f*w + 78*f - 4*w - 128 Find the second derivative of -205006*t**5*x + 2*t**3*x**3 + 2*t*x - 175397*x**3 wrt t. -4100120*t**3*x + 12*t*x**3 Find the second derivative of -3562*a**2*y**3 + 7*a**2*y - 2*a**2 - a*y**3 - a*y - 5*a + 2*y**2 - 267 wrt a. -7124*y**3 + 14*y - 4 Find the third derivative of -14732*i**3 + 31486*i**2 wrt i. -88392 What is the second derivative of o**4 + 75644*o**3 - 43384*o + 3? 12*o**2 + 453864*o What is the second derivative of -2*m**2*u**2 - 13*m**2*u + 117*m**2 + 174*m*u**2 - 4*m wrt u? -4*m**2 + 348*m Find the third derivative of -3*q*r**3*u**3 + 7*q*r**3*u**2 - 3*q*r**3 - 147*q*r*u**3 + 46306*q - 5*u**3 wrt u. -18*q*r**3 - 882*q*r - 30 What is the derivative of 2*b**2*i**2 + 5713*b**2 - 25*b*i + 2*b - 303*i**2 wrt i? 4*b**2*i - 25*b - 606*i Find the second derivative of -2713423*o**2 - 52552*o - 17. -5426846 What is the third derivative of 300*h**6*k - 12*h**5*k**3 - 414*h**2*k**3 - h**2 + 7*h*k**3 wrt h? 36000*h**3*k - 720*h**2*k**3 What is the first derivative of 14*a**2*s**2 - 76*a**2*v - 429*a*s**3*v + 8536*s**3 wrt v? -76*a**2 - 429*a*s**3 Find the second derivative of -15462*g**5 - g**2*l**3 + 5*g*l**3 - 5*g*l - g + 421*l**3 wrt g. -309240*g**3 - 2*l**3 Find the third derivative of -2000*c**4 - c**3 + 58267*c**2 wrt c. -48000*c - 6 What is the third derivative of -13*l**6 + 80*l**5 + 14*l**3 + 22405*l**2 - 1? -1560*l**3 + 4800*l**2 + 84 Find the second derivative of -79935*a**4 + 27212*a + 1. -959220*a**2 Find the third derivative of 168*c**5*z**2 - 76*c**5 + c**2*z**2 - 10488*z**2 wrt c. 10080*c**2*z**2 - 4560*c**2 Find the third derivative of 973355*j**5 + 513175*j**2. 58401300*j**2 What is the derivative of 1847490*n*r - 1461991*n wrt r? 1847490*n What is the third derivative of -11835*p**4 - 322*p**2 + p wrt p? -284040*p What is the third derivative of -40138*b**4*n + 2*b**3*n**2 - 465*b**2*n - b*n**2 wrt b? -963312*b*n + 12*n**2 What is the derivative of 30734*b + 10598 wrt b? 30734 Differentiate 14*p**2*y - 633345*p**2 + 526*p*y + 2*y - 3 wrt y. 14*p**2 + 526*p + 2 Find the third derivative of 24396*j**5 + 5128*j**2 wrt j. 1463760*j**2 Find the third derivative of 31728*q**6 - 40437*q**2 wrt q. 3807360*q**3 Differentiate 2*b**2*h - 53437*b**2 + 111693*b*h with respect to h. 2*b**2 + 111693*b What is the second derivative of 2*n**3*q*r + n**3*q + n**3*r**2 + 2*n**3*r + 33*n**2*r**2 - 2*n**2 + q*r**2 - 496*r wrt r? 2*n**3 + 66*n**2 + 2*q What is the derivative of -27850*o - 8559 wrt o? -27850 Find the first derivative of 2*l**2*w**2 + 3*l**2*w + l*w**2 + 2856*l + 249*w**2 - 68 wrt l. 4*l*w**2 + 6*l*w + w**2 + 2856 Find the second derivative of -a**2*h**3 - 510*a**2*h**2 - 3761*a**2 + 12*a*h**3 - 2*a - 8*h wrt h. -6*a**2*h - 1020*a**2 + 72*a*h What is the third derivative of 1316290*f**3*q**3 + 5*f**3*q - 4*f**3 - 3*f**2*q**2 - f*q**2 + 706*f*q wrt q? 7897740*f**3 Find the third derivative of -1028663*i**3 - 897737*i**2 wrt i. -6171978 What is the derivative of -2*r**3 + r*y**3 - 1465*r + 169503*y**3 wrt r? -6*r**2 + y**3 - 1465 What is the third derivative of -77001*k**6 - k**3 + 726825*k**2 wrt k? -9240120*k**3 - 6 What is the derivative of 433*c*i*m + c*i - 8*c + 3479*i*m - 15*m + 3 wrt c? 433*i*m + i - 8 What is the second derivative of -35*u**5 + 803*u**3 + u + 267523 wrt u? -700*u**3 + 4818*u What is the third derivative of 19*f**3*m*y**3 - 66*f**3*m*y + 2*f**3*m - 419*f**2*m*y**4 - 5*f**2*m*y**2 - 2*f*m*y - m*y**2 wrt y? 114*f**3*m - 10056*f**2*m*y Find the third derivative of -10563*s**4 + 18504*s**2 wrt s. -253512*s What is the first derivative of 3255*u**4 + 8*u**2 + 192505 wrt u? 13020*u**3 + 16*u Differentiate 10867*i + 31568 with respect to i. 10867 Differentiate -32722*n**3 + 10578 wrt n. -98166*n**2 What is the third derivative of 1407*f**4 + 33*f**3 + f**2 - 3*f - 1339? 33768*f + 198 Find the third derivative of 15*m**5 + m**4 - 687*m**3 - 4*m**2 - 38379. 900*m**2 + 24*m - 4122 What is the second derivative of -2678524*u**2 - 3*u + 595621? -5357048 What is the derivative of -18524*r**4 - 11803 wrt r? -74096*r**3 What is the third derivative of 163314*b**5 - 1070260*b**2? 9798840*b**2 What is the first derivative of 53*g**2*w - 1091*g**2 + 190*g - 4038*w wrt w? 53*g**2 - 4038 Find the second derivative of 20*b**3*c**4 + 6*b**3 + b**2 + 234*b*c**4 - b*c + 1497*c wrt c. 240*b**3*c**2 + 2808*b*c**2 Find the third derivative of -1106804*q**3 - 21*q**2 + 3841*q wrt q. -6640824 What is the third derivative of 102*j**4*k - j**4*l**3 + 3*j**3*l**3 - 15*j**2*k*l - 9*j**2*k + j**2 + 28*k*l**3 wrt j? 2448*j*k - 24*j*l**3 + 18*l**3 What is the third derivative of 500*w**3*z + 112*w**3 + 47*w**2 - 56*w*z - w + 2*z + 1 wrt w? 3000*z + 672 Find the second derivative of 32214*c**3*u**4 + 5*c**3*u**2 + 2*c**3*u - 6353*c**2*u - 3*u wrt u. 386568*c**3*u**2 + 10*c**3 What is the second derivative of -o**3*v - o**3 + 20398*o**2*v**3 - 3*o - 2016*v**3 + 2 wrt o? -6*o*v - 6*o + 40796*v**3 What is the second derivative of 1938*p**4 - 855*p**2 - 2074625*p wrt p? 23256*p**2 - 1710 What is the first derivative of -2*h*y - 13789*h + 12035*y + 3 wrt y? -2*h + 12035 Find the third derivative of 23268*c**2*u**3 - 2*c**2*u - 2*c**2 + 2*u**3 - 4*u**2 - 69 wrt u. 139608*c**2 + 12 What is the third derivative of -100*w**5 + 324*w**3 - 151*w**2 - 383*w? -6000*w**2 + 1944 Find the third derivative of -161422*z**3 - 13*z**2 + 14*z - 77 wrt z. -968532 Find the first derivative of 11*a**2*b*u - 21*a**2*b + 88*a*u + 9436*b*u + 7*b wrt a. 22*a*b*u - 42*a*b + 88*u Find the third derivative of 8443*g**3 - g**2 - 7570*g + 1. 50658 What is the second derivative of 21744*o**4 - o**3 - 3*o + 4321 wrt o? 260928*o**2 - 6*o Differentiate 40489*f**3 - 1159629 with respect to f. 121467*f**2 Differentiate 5*g**2*h + 2*g**2 - 18594*g*h - 4*g + h - 41133 wrt h. 5*g**2 - 18594*g + 1 Find the first derivative of -2*f*t*y - 418*f*t - 101*f*y - 15*f + 2*t*y - 18*t + 10 wrt t. -2*f*y - 418*f + 2*y - 18 Find the second derivative of 22719*q**2 + 12569*q. 45438 What is the third derivative of 8*r**3*z**3 - 15*r**3*z**2 - 276*r**3*z + 11*r**2*z**2 + r**2*z + 2*r*z**3 - 488*z**3 - 1 wrt r? 48*z**3 - 90*z**2 - 1656*z Find the third derivative of 11898*q**3*v**2 - q**2*v**2 + 18*q*v**2 + 245*v**2 wrt q. 71388*v**2 What is the second derivative of 2*c**5 + 11398*c**2*m**3 - 4*c*m**3 - 7*m**3 + m**2 + 40 wrt c? 40*c**3 + 22796*m**3 Differentiate -7*c**3*h*u - 2*c**3*h + 19*c**3*u - 119*c**2*u - 9051*h wrt u. -7*c**3*h + 19*c**3 - 119*c**2 What is the third derivative of -4*u**5 + 2*u**4 + 11739*u**3 - 347*u**2 + 4*u + 26 wrt u? -240*u**2 + 48*u + 70434 What is the first derivative of -372516*n**3*u**2 - 2*u**2 - 10584*u - 3 wrt n? -1117548*n**2*u**2 Find the second derivative of 147541*q**3 - 7*q - 36. 885246*q What is the second derivative of 22960
{ "pile_set_name": "DM Mathematics" }
351*a + 262615 = 1395*a for a. 53 Solve 10298*d - 2571*d = 577*d - 6817*d - 1368766 for d. -98 Solve 3396 = 41*n - 189*n + 3544 for n. 1 Solve 7538 + 14536 + 37554 = -563*u + 7832 for u. -92 Solve 0 = 9*d + 193 + 175 - 467 for d. 11 Solve 34*a + 19*a = 19*a - 12*a + 2300 for a. 50 Solve -9*x + 2048*x - 112407 - 47493 = -1159*x for x. 50 Solve 15617*i - 7915*i + 5904 = 7825*i for i. 48 Solve -2066 = -746*s - 5796 for s. -5 Solve 3695*d = 2740*d - 6843*d - 1156061 + 259291 for d. -115 Solve -19261 - 7619 = -672*j for j. 40 Solve 82*l + 835 = -502 - 1437 + 314 for l. -30 Solve 8*o - 14*o - 3537 - 1924 = 37*o for o. -127 Solve -272*c = -7304 + 11430 - 7390 for c. 12 Solve -731*v - 1985*v - 32592 = 0 for v. -12 Solve 1098597*x - 1098623*x - 754 = 0 for x. -29 Solve -3765*j + 76129 - 398509 = 2205*j for j. -54 Solve 56*o + 56858 = 324*o + 839*o - 16204 for o. 66 Solve 31*w = -72*w + 138 + 274 for w. 4 Solve -88139 - 66021 + 14578 = 1910*j - 23072 for j. -61 Solve -12680*i + 113693 = -10261*i for i. 47 Solve -737*r - 51870 = 628*r for r. -38 Solve 24*s - 406 = -64 - 125 + 1175 for s. 58 Solve -2189*x + 128639 = 548*x for x. 47 Solve 3165*h + 2713 - 17396 = 108752 for h. 39 Solve 6123*b - 1566138 = -4531*b for b. 147 Solve 49*o + 3156 - 6586 = 0 for o. 70 Solve -963 - 5211 = 99*v + 244*v for v. -18 Solve -3598*y + 99677 + 56039 = -433*y - 24689 for y. 57 Solve 10566*l + 33442 = -2119 - 27835 for l. -6 Solve -10*b - 3053 + 20818 = -3322*b - 15355 for b. -10 Solve 1041 + 2674 = -86*f + 705 for f. -35 Solve 0 = -20*f - 2285881 + 2286401 for f. 26 Solve 18220*g - 504359 = 84548 + 1339047 - 342814 for g. 87 Solve -1361 = -746*x + 795*x - 185 for x. -24 Solve 0 = 20581*u - 21791*u + 30250 for u. 25 Solve -7614 - 7775 + 1294 = 138*x - 19 for x. -102 Solve -17094*l = -17154*l - 1260 for l. -21 Solve 0 = -522*c + 2537 - 4248 - 8729 for c. -20 Solve 113 + 67 = 3*h + 5*h + 284 for h. -13 Solve 3214*t - 32565 = 4049*t for t. -39 Solve 50*d = -108*d + 125*d - 2132 - 1333 for d. -105 Solve -966*a - 18080 = 49540 for a. -70 Solve -107*n - 118*n = 128*n + 171 - 171 for n. 0 Solve 490*h + 37127 = -943*h - 66049 for h. -72 Solve -8628*b + 276531 = -336057 for b. 71 Solve -61064*f - 72036 = -60281*f for f. -92 Solve 761*z - 15168 = -55*z - 132*z for z. 16 Solve 3446*z - 90648 + 43336 = 142218 for z. 55 Solve 41367 = 1414*t - 19435 for t. 43 Solve -481688*i = -481821*i + 6384 for i. 48 Solve 280*w + 2434 + 303 = -63 for w. -10 Solve 11940 = 1821*j - 1622*j for j. 60 Solve 602*t - 18953 = -2360 + 36383 for t. 88 Solve -3458 = -94*h - 792 + 2736 + 3716 for h. 97 Solve 1315*f - 250026 = -189536 for f. 46 Solve 226704 = -1153*c + 120628 for c. -92 Solve 106*o - 259*o + 50*o = -1030 for o. 10 Solve 5502*y - 1382 = -6884 for y. -1 Solve -2549*d = -2687*d + 6067 + 3272 + 4323 for d. 99 Solve -273*z + 198*z - 2010 = 104*z - 757 for z. -7 Solve 71*p + 287*p + 388*p + 62118 = -1081*p for p. -34 Solve 4552*x + 5397 + 52569 = -10480 - 99978 for x. -37 Solve 242*i + 2013 + 5323 = -12266 for i. -81 Solve 626645*k = 626688*k + 1763 for k. -41 Solve 0 = 21141*f - 21604*f + 9260 for f. 20 Solve 62*k = -303*k - 1206 - 6459 for k. -21 Solve -77724*o = -77663*o + 976 for o. -16 Solve -141*u + 3436 - 1663 = -5895 - 1920 for u. 68 Solve 7*g - 240530 + 240642 = 0 for g. -16 Solve 2740*b = -551*b + 26653 - 325 for b. 8 Solve 112*d + 18048 = 170*d + 71*d + 63*d for d. 94 Solve -7396*g = -1320*g + 1845*g - 261169 - 554694 for g. 103 Solve -1697*s = -2023*s + 2300*s + 1977*s - 225207 for s. 57 Solve 389*n = -351*n + 31820 for n. 43 Solve 0 = -2914*t - 114*t + 9084 for t. 3 Solve 0 = -630*t - 1032*t + 106368 for t. 64 Solve -578*l - 813*l + 229*l = 53452 for l. -46 Solve 215*h - 908 - 1643 + 1036 = 850 for h. 11 Solve -226*t + 32062 + 14457 - 13944 = 1077*t for t. 25 Solve -1373 = 458*g + 6218 + 9355 for g. -37 Solve 672 = 82*y - 741 - 555 for y. 24 Solve -931*k - 14682 + 17578 = -27827 for k. 33 Solve -10105 + 72070 = -944*m + 1709*m for m. 81 Solve 331*l - 18285 - 85853 = -57136 for l. 142 Solve 0 = -32*q + 418*q + 16254 - 1972 for q. -37 Solve 1565 = 240*o + 8525 for o. -29 Solve -4270*v + 2025*v = 3269*v - 325326 for v. 59 Solve -1011*p + 3 + 2 = 10 - 5 for p. 0 Solve -401*k = 80662 - 84672 for k. 10 Solve 189*p - 8652 = -26607 for p. -95 Solve -239*b - 451*b - 11340 = 120*b for b. -14 Solve 71*y - 13235 = -2372 for y. 153 Solve -9676*u - 332*u + 160753 = -2409*u + 31570 for u. 17 Solve 505*z - 53789 = 3336*z for z. -19 Solve 154353 + 171839 - 53621 = -6608*q + 47899 for q. -34 Solve 54 = 179*i - 132*i - 40 for i. 2 Solve -396*l - 1796*l + 776898 + 67617 = 5851*l for l. 105 Solve 29955 = 136*u + 33899 for u. -29 Solve 115*h - 1394*h = 3914*h - 223299 for h. 43 Solve -1872*f - 2273 + 6471 = -22198 - 14788 for f. 22 Solve -126*f = -228*f + 55*f - 3759 + 610 for f. -67 Solve -3689 = 49*l - 3347 - 2988 for l. 54 Solve -699157 - 522182 = -12051*k - 85909 + 250435 for k. 115 Solve 47271*x - 210 = 47277*x for x. -35 Solve -2280*l - 9313 + 51965 = -25748 for l. 30 Solve 19031 + 62619 = -1444*r - 90186 for r. -119 Solve -2185*b - 2087*b - 2209*b + 13365 = -6382*b for b. 135 Solve 0 = -3521*m + 3013*m + 7620 for m. 15 Solve 18000 = 6565*s - 6805*s for s. -75 Solve -781*h - 628*h - 19726 = 0 for h. -14 Solve 1407*q = -3069*q - 102948 for q. -23 Solve -1597*f + 14754 + 34036 = 391*f + 3066 for f. 23 Solve -82*z + 2403268 - 2400316 = 0 for z. 36 Solve -214226 = 2776*l - 5055*l for l. 94 Solve 4803*h = 4973*h + 680 for h. -4 Solve 3707 = 1355*m + 51132 for m. -35 Solve -5087 + 32023 = 381*c - 17*c for c. 74 Solve 2*a - 2895354 = -2895420 for a. -33 Solve -3390*z + 152684 = 628*z for z. 38 Solve 0 = -749*h + 854*h + 3990 for h. -38 Solve -49*t = 273*t + 1158 + 9790 for t. -34 Solve -3629*n - 100561 - 74830 + 22504 + 469 = 0 for n. -42 Solve 10*z = -12*z - 108*z + 36*z + 5358 for z. 57 Solve 2063 = -2435*n - 41767 for n. -18 Solve -170*s = 35*s + 54*s - 9284 + 26896 for s. -68 Solve -4376588*s + 27630 = -4375974*s for s. 45 Solve 0 = 2459*o - 36740 + 19267 - 51379 for o. 28 Solve 95*o + 702 = 55*o - 77*o for o. -6 Solve 3764*x - 385 = 3729*x for x. 11 Solve -52*x = 65*x - 390*x - 15288 for x. -56 Solve -1462*v + 14769*v = 146377 for v. 11 Solve 4199*f = -4219*f + 8347*f - 1846 for f. -26 Solve 11655 + 17291 = -886*c - 13399 - 2841 for c. -51 Solve 75*a - 15*a = 66*a - 168 for a. 28 Solve 2094*o - 6180*o - 21246 = 3092*o + 29000 for o. -7 Solve 87*t + 11999 = -90*t - 48*t + 56*t for t. -71 Solve 414*g + 18946 = 2386 for g. -40 Solve -14*j + 159 = 379 + 270 for j. -35 Solve -1931 = 315*k - 187*k - 183*k + 1644 for k. 65 Solve -37099 - 24449 + 6651 = -1893*z for z. 29 Solve -1663*d = -1880*d - 5642 for d. -26 Solve -4130 + 1097 - 2895 = 135*w + 687 for w. -49 Solve -5480 = 22*t - 4600 for t. -40 Solve -20445*t + 291698 = -566992 for t. 42 Solve 67*q + 55965 = -536*q + 3268*q for q. 21 Solve 8609 + 41388 = -3275*m - 39383 - 8870 for m. -30 Solve 0 = 895*v - 1048*v + 1530 for v. 10 Solve 515*n - 3218247 + 3231637 = 0 for n. -26 Solve 7659*u - 151008 = 1297*u + 375253 + 84491 for u. 96 Solve -355*g - 984 = 451*g - 765*g for g. -24 Solve 30816 = 4077*z + 218358 for z. -46 Solve -31*i - 139 = 128*i + 20 for i. -1 Solve 9*z - 234 = -58*z - 37*z + 390 for z. 6 Solve 0 = 417*v - 11890 - 14381 for v. 63 Solve -75371 + 173901 + 126778 = 3634*u for u. 62 Solve 84*s = -1297*s - 404*s - 46410 for s. -26 Solve -3481*a - 2268*a = -74737 for a. 13 Solve 2067 + 694 = 251*x for x. 11 Solve 1574*s - 5751 - 8706 = 10934 + 2941 for s. 18 Solve -33963*h + 2886576 = -8190*h for h. 112 Solve 1086*p + 785 - 7197 = 10964 for p. 16 Solve 6027*f - 6067*f + 200 = 0 for f. 5 Solve -37753*m = -4495*m + 3758154 for m. -113 Solve 18721*u - 1258892 - 337862 = 4278*u - 4795*u for u. 83 Solve -688*c = -558*c for c. 0 Solve 0 = 94*a - 10906 + 12786 for a. -20 Solve -195*r = 154*r + 980 + 3557 for r. -13 Solve -28*o - 392*o + 1118 = 698*o for o. 1 Solve -3524259*k = -3524897*k - 41470 for k. -65 Solve 245*q + 4025 = 846 - 17600 - 16216 for q. -151 Solve 8*h + 261 + 38 = 31*h - 10*h for h. 23 Solve x - 50 - 56 + 94 = 0 for x. 12 Solve 72*i = 13*i - 105*i + 30*i - 3484 for i. -26 Solve 1220*p - 157068 - 271098 = -14638*p for p. 27 Solve 28341*a =
{ "pile_set_name": "DM Mathematics" }
, -5*m = 5*k - 64 - 431. Let s = 169 - m. Calculate the remainder when s is divided by 20. 8 Suppose 0 = -2*v - 3*z + 22, -v + 2*v - 9 = -2*z. What is the remainder when 93 is divided by v? 8 Suppose 22*g - 121 = -k + 19*g, 5*k = -2*g + 540. Calculate the remainder when 528 is divided by k. 104 Calculate the remainder when 159 is divided by 0 + 0 + (-15)/((-90)/168). 19 Let i(q) = q**3 + 2*q**2 - 4*q - 4. Let o be i(-4). What is the remainder when 44 is divided by 236/16 - 5/o? 14 Suppose 5*u = 20 + 250. Let s = u + 3. What is the remainder when s is divided by 24? 9 Let h(s) = -s**3 - 10*s**2 - 8*s - 19. Calculate the remainder when h(-10) is divided by 22. 17 Suppose -3*o = 2*r - 76, -3*r = o - 55 - 59. Calculate the remainder when r is divided by 13. 12 Let w be 75/10*(-4)/(-6). Suppose y = -2*g + 36, -w*g + 14 = -2*y + 95. Let t = 1 + 9. Calculate the remainder when y is divided by t. 8 Let f(d) = d**2 + 4*d - 9. Suppose 3*i + 3 = 0, -u + 2*i - 6 = -2*i. Let k be f(u). Let z = -14 + k. What is the remainder when z is divided by 20? 17 What is the remainder when 7 + 109 + (-30)/6 is divided by 23? 19 Suppose 0 = 4*k + 8, 2*z - 5*k + 10*k = 62. Let y = -28 + z. What is the remainder when 20 is divided by y? 4 Let v = 186 + -34. What is the remainder when v is divided by 52? 48 Suppose 4*z = 4*p + 76, -z - 2*p = -0*p - 16. Calculate the remainder when 371 is divided by z. 11 Let z be ((-44)/(-66))/(2/33). Suppose 2*k + 3 = -z. Let j = 4 - k. What is the remainder when 54 is divided by j? 10 Let t be 110*4/8 + 2*-1. Suppose x + 23 + 33 = 4*z, -3*z - 2*x + t = 0. Let f(o) = -o + 9. Calculate the remainder when z is divided by f(0). 6 Suppose -20*w - 60 = -25*w. Let k(j) = -j. Let a be k(-2). What is the remainder when -1 + a + 2 + 42 is divided by w? 9 Let y = 15 - 12. Suppose 8 = 3*u - f - 10, -y*f = -u + 14. Suppose -u*s + 80 = 20. What is the remainder when 21 is divided by s? 9 Let k(v) be the second derivative of 2*v**3/3 - 3*v**2 - 4*v. Calculate the remainder when 89 is divided by k(6). 17 Suppose 37 + 11 = 4*s. Suppose -w + 4*x - s = 0, -w = -0*w + 4*x - 12. Suppose -6*f + 2*f + 80 = w. Calculate the remainder when 39 is divided by f. 19 Suppose 3*b - 59 = -2*w, 7*w = -3*b + 11*w + 71. What is the remainder when 649 is divided by b? 19 Let g be (-2)/11 + 2/11. Suppose g*j + 49 = j. What is the remainder when j is divided by 13? 10 Let y(k) = -69*k - 671. Calculate the remainder when y(-10) is divided by 11. 8 Suppose 3*a + 61 = 4*z, -4*z + 4*a + 46 = -10. What is the remainder when 34 is divided by z? 15 What is the remainder when 19 is divided by 95/15 - (-3)/(-9)? 1 Suppose 2*p - d - 5 = -2*p, 3 = -3*p + 3*d. Calculate the remainder when (-1)/((8/p)/(-116)) is divided by 8. 5 Suppose 3*v - 3*w = -5*w + 269, -3*w = -3*v + 249. What is the remainder when v is divided by 30? 27 Suppose 108 = 48*i - 44*i. Calculate the remainder when i is divided by 14. 13 Suppose 52*s = 7*s + 675. Calculate the remainder when 1/(-1) - -58 - 0 is divided by s. 12 Let g = 64 - -21. Let l be g/15*1*3. Let b = 19 - l. Calculate the remainder when b is divided by 2. 0 Suppose 3*x - 51 = 2*f - 5*f, -f + 4*x = 3. Let g(s) = -19*s - 21*s - 2 + 34*s. What is the remainder when f is divided by g(-1)? 1 Suppose 4*b - 7*x = -4*x + 53, 3*b = 2*x + 41. What is the remainder when 149 is divided by b? 13 Let w(s) = s**3 - 14*s**2 - 30*s + 47. Calculate the remainder when 154 is divided by w(16). 75 Let r = 83 - 50. Suppose -2*v = 4*i - r + 11, 5*i - 34 = -3*v. Let x = -7 + v. What is the remainder when 16 is divided by x? 4 Calculate the remainder when 271 is divided by -2 - ((-256)/8 - 2). 15 Let t = 23 - 1. Suppose 0 = -3*o - 2*g + 113, -o + g + 11 = -25. Calculate the remainder when o is divided by t. 15 Suppose 27 = x - 2*h, -7 = 3*x - 2*h - 72. Suppose -r - 5*u + 91 = 0, 5*r + 77 = 2*u + 424. Let s = -15 + r. What is the remainder when s is divided by x? 18 Suppose 0*t + 5*x = 5*t + 30, -3*t - 2*x = 8. Let u be 0 + -1 - (3 + t). Suppose u*v - v = -4. Calculate the remainder when 10 is divided by v. 2 Suppose 19*h + 106 = 20*h. What is the remainder when 18 is divided by h/9 + 0 + (-6)/(-27)? 6 Let o(s) = 13*s + 7. Let k be o(1). Suppose -24*r + k*r = -196. Calculate the remainder when r is divided by 13. 10 Calculate the remainder when 655 is divided by -2 + 112/70*20. 25 Suppose 0*m = -j - 4*m + 62, -2*j + 124 = -2*m. Calculate the remainder when 28 is divided by j/6 - 5/15. 8 Let d(y) = -y**3 + 5*y**2 + 13*y + 30. Calculate the remainder when 367 is divided by d(7). 22 What is the remainder when 137 is divided by 16320/(-714)*14/(-4)? 57 Suppose -3 = -2*j + h + 10, -4*h - 20 = -4*j. Calculate the remainder when 9 is divided by j. 1 Let w = -52 - -77. Let d(y) = -3*y**2 + 5*y - 17. Let m(k) = -8*k**2 + 14*k - 50. Let h(s) = 11*d(s) - 4*m(s). What is the remainder when w is divided by h(0)? 12 Let q(f) = f**3 + 7*f**2 + 7*f + 2. Let k = 34 - 39. What is the remainder when 5/((-1)/(-20)*2) is divided by q(k)? 16 Let j(n) = -9*n - 14 - 3 + 4. Calculate the remainder when j(-8) is divided by 12. 11 Let v(k) = 4*k**3 + k**2 + k - 1. Suppose 20 = -7*i + 153. Calculate the remainder when i is divided by v(1). 4 Let o = 85 + -70. Suppose 0 = d + 1 - 25. Calculate the remainder when d is divided by o. 9 Let w(n) = -24*n - 526. What is the remainder when w(-35) is divided by 64? 58 Suppose 0*l - 98 = -7*l. Suppose -12 = -b + 2*b. What is the remainder when l is divided by (12/5)/(b/(-40))? 6 Let j = -790 + 865. Let y(c) = -19*c**3 - c**2 + 1. What is the remainder when j is divided by y(-1)? 18 Let r = -413 - -436. What is the remainder when r is divided by (-1)/(-6) - (-106)/12? 5 Suppose 2*r - 3*w - 128 = 0, -5*r - 60 + 418 = 2*w. Calculate the remainder when r is divided by 49. 21 Let g(s) = 19*s + 154. What is the remainder when 75 is divided by g(-7)? 12 Suppose -46*d + 22*d + 540 = 30*d. Let q be 52 - (-2 - -2 - 0). Suppose 3*p = 3*r - 1 + q, -2*p - 3*r + 19 = 0. What is the remainder when p is divided by d? 4 Let m = -17 + 9. Let c = m - -25. What is the remainder when (-22 - -24)/((-6)/(-147)) is divided by c? 15 Suppose -4*s + 402 = -2*s. Calculate the remainder when s is divided by 11 - (-5)/((-25)/(-30)). 14 Suppose 1727*m = 1713*m + 462. Calculate the remainder when 50 is divided by m. 17 Let j(h) = -3*h**3 - h**2. Let n be j(1). Let w = -7 + 3. What is the remainder when 25 is divided by (1 + n - w) + 12? 12 Suppose -2*b + 79 = 5*y, -8 = y - 7. What is the remainder when b is divided by 40? 2 Let l(b) = -b**3 - 2*b**2 - b - 14. Let k be l(0). Let c = 17 + k. Let d = 9 - 6. Calculate the remainder when d is divided by c. 0 Calculate the remainder when 130 is divided by ((-24)/15)/(26/(-65)). 2 Let h = 249 - 236. Calculate the remainder when 49 is divided by h. 10 Suppose 44*a + 92 = 48*a. What is the remainder when 133 is divided by a? 18 Suppose 2*u = -8, 4*i - 20*u = -18*u + 676. Calculate the remainder when i is divided by 28. 27 Suppose 21 = 3*m - 2*m. Let g(l) = l**3 - 3*l - 2. Let d be g(-2). Let j = 4 - d. Calculate the remainder when m is divided by j. 5 Let z = 492 + -274. What is the remainder when z is divided by 16? 10 Let g(b) = b**3 - 10*b**2 + 7*b - 6. Let w be g(10). What is the remainder when ((-2)/(-4))/1*w is divided by 17? 15 Let c(o) = 3*o**3 - 4*o**2 - 353 - 3*o + 353 - 4*o**3 + 2*o**3. Let q(p) = p + 5. Let k be q(0). What is the remainder when 29 is divided by c(k)? 9 Let v(b) = b**3 - 15*b**2 - 35*b + 27. What is the remainder when 91 is divided by v(17)? 1 Suppose 5*y - 4*b - 53 = 0, -3*y - 2*b + 32 = y. Let w = 21 + 13. Calculate the remainder when w is divided by y. 7 Suppose 8*s + 2444 = 13*s - 2*q, -q - 487 = -s. Suppose 8*l - s = -2*l. Calculate the remainder when l is divided by 26. 23 Let y = 121 + -3. Calculate the remainder when y is divided by 12. 10 Let a = -2212 + 2230. What is the remainder when 139 is divided by a? 13 What is the remainder when (-93009)/(-1751) - 2/17 is divided by 52? 1 Suppose -b + 5 = -3*z, 4*b = -2*z - 0*z + 6. What is the remainder when 62 is divided by b/9 + -1*(-590)/18? 29 What is the remainder when (-12)/(-6)*(-135)/(-6) is divided by 44? 1 Suppose -8*l + 4*l = -212. Suppose -2131 = -10*d - 2
{ "pile_set_name": "DM Mathematics" }
1:14 PM and 9:19 AM? 605 What is 51 minutes before 5:40 PM? 4:49 PM How many minutes are there between 1:14 AM and 9:54 AM? 520 What is 254 minutes before 10:41 AM? 6:27 AM What is 374 minutes before 8:18 AM? 2:04 AM What is 172 minutes before 12:27 PM? 9:35 AM How many minutes are there between 7:51 AM and 2:17 PM? 386 What is 132 minutes after 3:08 PM? 5:20 PM How many minutes are there between 8:16 AM and 12:12 PM? 236 What is 405 minutes before 6:03 AM? 11:18 PM What is 36 minutes after 9:03 AM? 9:39 AM How many minutes are there between 11:28 PM and 12:20 AM? 52 How many minutes are there between 7:09 AM and 6:29 PM? 680 What is 446 minutes after 2:14 AM? 9:40 AM How many minutes are there between 9:43 AM and 11:53 AM? 130 How many minutes are there between 5:55 PM and 1:23 AM? 448 What is 90 minutes before 7:32 PM? 6:02 PM How many minutes are there between 3:35 AM and 7:38 AM? 243 How many minutes are there between 2:27 PM and 7:01 PM? 274 How many minutes are there between 7:43 PM and 9:11 PM? 88 How many minutes are there between 7:15 PM and 11:06 PM? 231 What is 669 minutes after 2:25 PM? 1:34 AM What is 453 minutes before 11:06 AM? 3:33 AM What is 689 minutes after 12:46 PM? 12:15 AM How many minutes are there between 4:11 AM and 8:23 AM? 252 How many minutes are there between 7:44 AM and 12:53 PM? 309 How many minutes are there between 10:48 PM and 3:39 AM? 291 How many minutes are there between 7:33 PM and 5:21 AM? 588 What is 556 minutes after 10:58 PM? 8:14 AM How many minutes are there between 6:56 PM and 2:34 AM? 458 What is 42 minutes after 3:24 AM? 4:06 AM What is 62 minutes after 4:14 PM? 5:16 PM What is 448 minutes after 3:22 AM? 10:50 AM How many minutes are there between 10:21 AM and 11:23 AM? 62 How many minutes are there between 3:13 PM and 5:47 PM? 154 What is 155 minutes before 8:25 PM? 5:50 PM What is 625 minutes after 12:29 PM? 10:54 PM What is 582 minutes before 3:38 PM? 5:56 AM How many minutes are there between 12:53 PM and 11:34 PM? 641 What is 628 minutes before 3:30 AM? 5:02 PM How many minutes are there between 5:55 AM and 6:44 AM? 49 What is 274 minutes before 4:58 PM? 12:24 PM How many minutes are there between 7:56 AM and 11:47 AM? 231 How many minutes are there between 9:57 AM and 10:53 AM? 56 What is 398 minutes after 11:00 PM? 5:38 AM What is 298 minutes after 10:40 AM? 3:38 PM How many minutes are there between 6:52 AM and 7:48 AM? 56 How many minutes are there between 10:55 AM and 11:07 AM? 12 How many minutes are there between 3:01 PM and 2:20 AM? 679 What is 410 minutes before 9:21 PM? 2:31 PM How many minutes are there between 3:37 PM and 2:01 AM? 624 How many minutes are there between 8:41 AM and 2:48 PM? 367 What is 647 minutes before 2:24 AM? 3:37 PM What is 466 minutes after 4:35 PM? 12:21 AM What is 207 minutes before 6:07 AM? 2:40 AM How many minutes are there between 12:30 AM and 2:30 AM? 120 How many minutes are there between 1:11 AM and 2:27 AM? 76 How many minutes are there between 9:03 AM and 11:00 AM? 117 What is 313 minutes before 4:17 PM? 11:04 AM How many minutes are there between 5:52 PM and 1:54 AM? 482 What is 302 minutes after 5:22 PM? 10:24 PM How many minutes are there between 5:13 AM and 3:52 PM? 639 What is 446 minutes after 11:12 PM? 6:38 AM How many minutes are there between 2:11 AM and 4:08 AM? 117 What is 160 minutes before 8:21 PM? 5:41 PM How many minutes are there between 6:03 PM and 12:17 AM? 374 What is 612 minutes after 11:43 PM? 9:55 AM What is 274 minutes after 1:24 AM? 5:58 AM How many minutes are there between 1:07 AM and 4:22 AM? 195 How many minutes are there between 4:27 AM and 9:51 AM? 324 How many minutes are there between 9:27 AM and 8:13 PM? 646 How many minutes are there between 10:58 PM and 8:11 AM? 553 What is 41 minutes before 2:09 AM? 1:28 AM What is 647 minutes after 7:36 AM? 6:23 PM How many minutes are there between 6:37 PM and 10:49 PM? 252 How many minutes are there between 9:52 AM and 9:39 PM? 707 How many minutes are there between 2:40 PM and 11:03 PM? 503 How many minutes are there between 12:57 PM and 9:43 PM? 526 How many minutes are there between 3:44 PM and 8:10 PM? 266 How many minutes are there between 5:55 PM and 5:00 AM? 665 What is 171 minutes before 7:01 AM? 4:10 AM What is 33 minutes after 12:50 PM? 1:23 PM How many minutes are there between 4:43 PM and 7:11 PM? 148 What is 117 minutes before 4:22 PM? 2:25 PM What is 91 minutes before 4:42 AM? 3:11 AM How many minutes are there between 7:35 AM and 12:56 PM? 321 How many minutes are there between 9:11 PM and 7:58 AM? 647 What is 211 minutes before 9:26 AM? 5:55 AM How many minutes are there between 9:56 PM and 12:15 AM? 139 What is 410 minutes after 5:32 AM? 12:22 PM How many minutes are there between 10:49 AM and 10:17 PM? 688 How many minutes are there between 12:50 PM and 1:30 PM? 40 How many minutes are there between 11:39 PM and 5:55 AM? 376 What is 428 minutes after 4:33 AM? 11:41 AM What is 62 minutes after 4:29 AM? 5:31 AM How many minutes are there between 12:07 AM and 1:57 AM? 110 What is 559 minutes after 7:49 AM? 5:08 PM What is 141 minutes after 3:51 PM? 6:12 PM What is 432 minutes before 1:12 AM? 6:00 PM What is 371 minutes before 2:13 AM? 8:02 PM What is 217 minutes before 12:49 PM? 9:12 AM What is 448 minutes before 8:12 PM? 12:44 PM What is 429 minutes before 10:22 AM? 3:13 AM What is 418 minutes before 3:59 AM? 9:01 PM What is 690 minutes before 12:54 PM? 1:24 AM What is 101 minutes after 5:11 AM? 6:52 AM What is 552 minutes before 4:57 PM? 7:45 AM How many minutes are there between 10:31 PM and 1:46 AM? 195 What is 185 minutes after 6:59 AM? 10:04 AM What is 320 minutes after 4:43 AM? 10:03 AM What is 568 minutes after 5:57 AM? 3:25 PM How many minutes are there between 8:22 PM and 10:47 PM? 145 How many minutes are there between 11:57 PM and 2:16 AM? 139 How many minutes are there between 3:48 AM and 8:08 AM? 260 How many minutes are there between 2:00 AM and 11:13 AM? 553 What is 373 minutes before 8:43 PM? 2:30 PM How many minutes are there between 1:44 PM and 8:53 PM? 429 How many minutes are there between 7:34 AM and 3:46 PM? 492 How many minutes are there between 4:34 AM and 3:44 PM? 670 What is 676 minutes after 11:30 AM? 10:46 PM How many minutes are there between 10:27 AM and 3:30 PM? 303 How many minutes are there between 2:28 PM and 5:42 PM? 194 How many minutes are there between 1:40 PM and 1:49 PM? 9 What is 688 minutes after 2:24 AM? 1:52 PM What is 385 minutes before 8:51 AM? 2:26 AM How many minutes are there between 9:23 AM and 11:06 AM? 103 What is 605 minutes after 9:52 PM? 7:57 AM What is 128 minutes after 10:32 PM? 12:40 AM What is 266 minutes after 6:46 AM? 11:12 AM How many minutes are there between 1:30 PM and 9:22 PM? 472 How many minutes are there between 10:17 AM and 4:16 PM? 359 What is 680 minutes after 4:03 PM? 3:23 AM What is 482 minutes before 6:13 AM? 10:11 PM What is 693 minutes before 6:48 PM? 7:15 AM What is 657 minutes after 3:48 PM? 2:45 AM What is 298 minutes after 4:40 PM? 9:38 PM How many minutes are there between 6:10 AM and 10:40 AM? 270 What is 503 minutes before 11:47 PM? 3:24 PM What is 77 minutes before 8:49 PM? 7:32 PM How many minutes are there between 8:11 AM and 1:21 PM? 310 What is 688 minutes before 8:51 PM? 9:23 AM How many minutes are there between 10:31 AM and 11:09 AM? 38 How many minutes are there between 9:07 AM and 11:53 AM? 166 What is 399 minutes after 7:57 PM? 2:36 AM How many minutes are there between 12:20 AM and 11:24 AM? 664 How many minutes are there between 2:16 AM and 5:22 AM? 186 What is 490 minutes before 4:54 PM? 8:44 AM How many minutes are there between 2:32 AM and 10:32 AM? 480 How many minutes are there between 5:17 AM and 2:34 PM? 557 How many minutes are there between 5:54 PM and 3:14 AM? 560 How many minutes are there between 10:24 PM and 7:30 AM? 546 What is 117 minutes before 11:20 PM? 9:23 PM How many minutes are there between 1:48 PM and 2:21 PM? 33 How many minutes are there between 7:31 AM and 9:18 AM? 107 What is 474 minutes before 5:59 PM? 10:05 AM How many minutes are there between 6:50 AM and 8:50 AM? 120 What is 570 minutes after 2:29 PM? 11:59 PM What is 620 minutes a
{ "pile_set_name": "DM Mathematics" }
six dps? -0.00001 What is 0.00002160664 rounded to 5 decimal places? 0.00002 What is -13196.11 rounded to the nearest ten? -13200 Round 1456.04 to the nearest one thousand. 1000 Round -940.86 to the nearest ten. -940 Round -0.0012984447 to 4 decimal places. -0.0013 What is -1.3699 rounded to two dps? -1.37 Round -53075 to the nearest 1000. -53000 What is 13739.421 rounded to the nearest 1000? 14000 What is 0.000112707 rounded to 4 decimal places? 0.0001 What is 4538.307 rounded to the nearest integer? 4538 What is 193.394 rounded to the nearest 10? 190 What is -0.01677 rounded to 3 dps? -0.017 Round 0.330643 to 3 decimal places. 0.331 Round 91.0193 to one dp. 91 What is 0.00346999 rounded to four decimal places? 0.0035 Round -2.38697 to the nearest integer. -2 What is 0.00001382008 rounded to 6 decimal places? 0.000014 Round 1450826.5 to the nearest 100000. 1500000 Round 0.2190803 to one decimal place. 0.2 What is 0.000144957 rounded to seven dps? 0.000145 What is 1679.08 rounded to the nearest 10000? 0 Round 0.0023212163 to six dps. 0.002321 Round -0.2663012 to 2 dps. -0.27 What is -0.000012042 rounded to seven decimal places? -0.000012 What is 0.0012840471 rounded to 5 dps? 0.00128 Round -0.01287979 to 4 decimal places. -0.0129 What is 0.4165673 rounded to two dps? 0.42 What is 5950930 rounded to the nearest 100000? 6000000 What is 0.023078169 rounded to 5 dps? 0.02308 What is -3.02075 rounded to three dps? -3.021 What is -11859.49 rounded to the nearest 10? -11860 What is -18559.725 rounded to the nearest one hundred? -18600 What is 0.01801476 rounded to three decimal places? 0.018 Round 6.2248 to the nearest integer. 6 Round 0.0000367748 to six decimal places. 0.000037 What is -1144.674 rounded to 0 decimal places? -1145 What is -0.000007905953 rounded to 7 dps? -0.0000079 Round 7233870 to the nearest 10000. 7230000 What is 1110908100 rounded to the nearest 1000000? 1111000000 What is 181121100 rounded to the nearest 100000? 181100000 What is -24987081 rounded to the nearest 1000000? -25000000 What is 1826900 rounded to the nearest one hundred thousand? 1800000 Round 0.1388662 to two decimal places. 0.14 Round -0.00121356665 to 6 decimal places. -0.001214 Round 20.05794 to two decimal places. 20.06 Round 57.506 to the nearest integer. 58 What is 3717696 rounded to the nearest one hundred thousand? 3700000 Round 76.8602 to 1 dp. 76.9 Round 9949303 to the nearest ten thousand. 9950000 What is -5035610 rounded to the nearest 1000000? -5000000 Round -0.0001441759 to six decimal places. -0.000144 What is 18200729 rounded to the nearest 10000? 18200000 What is 0.0003582562 rounded to 5 dps? 0.00036 Round 99555.2 to the nearest one hundred. 99600 Round -1481843000 to the nearest 1000000. -1482000000 Round 19610.2 to the nearest 100. 19600 Round 0.00760099 to 3 dps. 0.008 What is -5.052374 rounded to two dps? -5.05 Round 683.8447 to the nearest 100. 700 Round -0.00825743 to four decimal places. -0.0083 Round 0.000006282419 to seven dps. 0.0000063 Round 10088.97 to the nearest one hundred. 10100 Round 0.00000881231 to six decimal places. 0.000009 What is 0.0003636364 rounded to 5 dps? 0.00036 What is 0.00006096648 rounded to six decimal places? 0.000061 Round 7739.52 to the nearest 100. 7700 What is 21.83551 rounded to the nearest 10? 20 What is -0.000000037191 rounded to seven decimal places? 0 What is -0.46139291 rounded to one dp? -0.5 Round 0.5511829 to four dps. 0.5512 Round -299473000 to the nearest one million. -299000000 What is -0.000020803387 rounded to six dps? -0.000021 Round -0.0000006529 to seven dps. -0.0000007 What is -228557 rounded to the nearest 100000? -200000 What is 18.50691 rounded to zero dps? 19 What is -0.000001616151 rounded to seven dps? -0.0000016 What is 1356430 rounded to the nearest 1000? 1356000 What is 1.3375977 rounded to 2 dps? 1.34 Round 3.49084 to three dps. 3.491 What is -15.51454 rounded to two dps? -15.51 Round 6.79908 to 1 dp. 6.8 What is -4693.31 rounded to the nearest one thousand? -5000 What is 10729.14 rounded to the nearest ten? 10730 Round -0.03282144 to three decimal places. -0.033 Round 0.00766224 to 3 decimal places. 0.008 Round 0.00000086991 to 7 decimal places. 0.0000009 What is -12.23722 rounded to one decimal place? -12.2 Round 0.00000987182 to 6 decimal places. 0.00001 What is -978975000 rounded to the nearest one million? -979000000 What is 0.395112 rounded to one dp? 0.4 What is 5867.002 rounded to zero dps? 5867 Round -58890900 to the nearest 100000. -58900000 Round 13270796 to the nearest 1000000. 13000000 Round -226355.7 to the nearest ten thousand. -230000 What is 2441168 rounded to the nearest 100000? 2400000 Round -7088040 to the nearest 100000. -7100000 What is 0.01479667 rounded to three decimal places? 0.015 What is -4751296 rounded to the nearest one thousand? -4751000 Round 0.00121804652 to six decimal places. 0.001218 Round 1.5757979 to 2 dps. 1.58 Round 63.7867 to the nearest ten. 60 What is 387849000 rounded to the nearest one million? 388000000 What is -0.0001586592 rounded to six dps? -0.000159 What is 14367.3 rounded to the nearest 10000? 10000 What is -0.00005352637 rounded to six decimal places? -0.000054 Round 0.010176458 to three decimal places. 0.01 What is -1184.066 rounded to the nearest integer? -1184 Round -125372.77 to the nearest ten thousand. -130000 What is 65523.192 rounded to the nearest 10? 65520 Round 72767900 to the nearest one hundred thousand. 72800000 What is 0.0228074 rounded to three decimal places? 0.023 Round -0.0015311617 to 6 decimal places. -0.001531 Round 12268.2 to the nearest one hundred. 12300 What is -5.6 rounded to the nearest 10? -10 Round -66.68025 to 0 decimal places. -67 Round -7297507.5 to the nearest ten thousand. -7300000 Round 22889660 to the nearest ten thousand. 22890000 Round -0.000006907035 to six decimal places. -0.000007 Round -0.005016 to 3 decimal places. -0.005 What is -144.04 rounded to 0 decimal places? -144 Round -360.4 to the nearest integer. -360 Round -265.4882 to the nearest 10. -270 What is -0.663839 rounded to 2 dps? -0.66 What is 2.701462 rounded to 3 dps? 2.701 What is -50.13 rounded to the nearest integer? -50 What is 6.5296 rounded to zero dps? 7 Round 0.023231603 to three dps. 0.023 Round 1414.0842 to the nearest integer. 1414 What is -38562.61 rounded to the nearest ten? -38560 Round -219063 to the nearest 10000. -220000 What is -0.0020658 rounded to three dps? -0.002 What is -479.4361 rounded to 1 dp? -479.4 What is 0.1732761 rounded to two dps? 0.17 Round -66885200 to the nearest one hundred thousand. -66900000 Round -1.52902 to three dps. -1.529 Round 438.751 to the nearest 1000. 0 What is -2.1641865 rounded to two decimal places? -2.16 Round 0.05568837 to 2 decimal places. 0.06 Round 13264 to the nearest one thousand. 13000 What is 37379000 rounded to the nearest 1000000? 37000000 What is -0.000002292865 rounded to seven dps? -0.0000023 What is 237.818 rounded to the nearest 10? 240 What is -819.678 rounded to the nearest 10? -820 What is 0.000011774975 rounded to 6 decimal places? 0.000012 What is -0.00005668294 rounded to 5 decimal places? -0.00006 Round 0.0001333739 to 5 dps. 0.00013 What is -80.633 rounded to zero decimal places? -81 What is 13.0591936 rounded to two dps? 13.06 What is 18.5161 rounded to zero decimal places? 19 Round -389.56296 to the nearest ten. -390 What is 850224.59 rounded to the nearest one hundred? 850200 What is 3546174 rounded to the nearest 100000? 3500000 What is 0.01271567 rounded to 3 dps? 0.013 Round 0.007040754 to six dps. 0.007041 What is -4417.93 rounded to the nearest one thousand? -4000 What is 0.32795985 rounded to 2 decimal places? 0.33 What is 344121700 rounded to the nearest 1000000? 344000000 Round -0.0205539 to three decimal places. -0.021 Round 115601.6 to the nearest 1000. 116000 Round 0.0000846573 to 5 decimal places. 0.00008 Round -5902370 to the nearest one thousand. -5902000 What is -150075.9 rounded to the nearest one thousand? -150000 What is 1626.0503 rounded to the nearest ten? 1630 What is 0.000076852 rounded to six decimal places? 0.000077 Round -0.0000565584 to seven decimal places. -0.0000566 Round 57352200 to the nearest one hundred thousand
{ "pile_set_name": "DM Mathematics" }