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o(0). -6 Let b(o) = 23*o**3 + 2*o**2 - o. Let l(s) = -s**3 + 11*s + 7. Let u be l(-3). What is b(u)? 24 Let d(h) = 2*h. Let w be d(1). Let y(b) = 0*b + w + b + 0. Let o = 8 - 5. Give y(o). 5 Let z(f) = f - 6. Let a(v) = -4*v + 19. Let u(c) = -2*a(c) - 7*z(c). Suppose 4*p + w = 9*p + 25, -2*p - 10 = -3*w. Calculate u(p). -1 Let y(i) = i**2 + 3*i - 2. Let x be y(-3). Let t(p) be the second derivative of -p**3/3 + p - 60. Determine t(x). 4 Let r be (-920)/(-220) + (-4)/22. Let v(g) be the third derivative of 1/12*g**5 + 0*g - 5/6*g**3 + 0 - 1/120*g**6 - 1/8*g**r + 2*g**2. Calculate v(4). -1 Let h(y) be the third derivative of -y**6/120 + y**5/10 - 5*y**4/24 - y**3/3 + 4*y**2. Determine h(5). -2 Let c(d) = 2 - 2 + 6*d**2 - 1. Let u = 147 + -146. Give c(u). 5 Let k(v) = -v**2 - 5*v + 3. Let o(q) = -q**2 + 8*q - 6. Let h be (8/3 - 2)*12. Let s be o(h). Let z be k(s). Let g(l) = -l**2 - l - 4. Determine g(z). -10 Let d(g) = -g - g**2 + 0*g - 4 + 1 + 2. Let r(u) = 2*u**2 - 3*u - 3. Let b(a) = 2*d(a) - r(a). Calculate b(-1). -4 Let f(q) = 3*q + 21. Let g be f(-9). Let d(u) = u**3 + 6*u**2 - 1. Calculate d(g). -1 Let f = 4 - 6. Let t be (-2 - -2 - -1)*2. Let j(o) = -2*o + 4*o - 4*o + 3*o + t. Determine j(f). 0 Let t(r) be the first derivative of r**4/4 + r**3 + 2*r**2 + 3*r - 31. Determine t(-2). -1 Let c(w) = 6*w**3 - w + 1. Suppose 0 = -4*b + 4*j + 2 + 18, -3*b + 15 = 3*j. Suppose 3*g - b = -2*g. Give c(g). 6 Let i(y) be the first derivative of 1 + 0*y - 1/3*y**3 + 5/2*y**2. Let h(j) = -2*j + 10. Let p be h(3). Give i(p). 4 Suppose -3*o + 12 = -0*o, 5*o = 3*b + 62. Let t = 10 + b. Let y(d) = -d**2 - 5*d - 5. Calculate y(t). -1 Let v = -17 - -16. Let p(z) = 6*z**3 - z**2 + z + 1. Determine p(v). -7 Let x(z) = 7*z**3 - 6*z**2 + 14*z - 7. Let o(r) = -r**3 - r. Let m(v) = -6*o(v) - x(v). Suppose 2*t = -5*s - 20, 2*t - 18 = 4*s + 4*t. Let l = s + 7. Give m(l). -8 Let m(f) = -f**3 + 5*f**2 + 4*f. Suppose y + 4*k - 9 = 0, 7*y + 4*k - 60 = 3*y. Suppose 2*l = a + 17, y = -4*l + 3*a + 56. What is m(l)? -12 Suppose 0 = m - f + 4, -m - 3 = -2*f - 1. Let l = -3 - m. Let t(z) = 2 - 5*z + 5*z**3 - 10*z**3 + 4*z**3 + 4*z**2. Calculate t(l). -4 Suppose -11 = -4*h + 13. Let k(n) = n**3 - 7*n**2 + 6*n + 2. What is k(h)? 2 Suppose -z = -3*z + 4. Let w(l) = -l**3 + 2*l**2 + 2*l - 2. What is w(z)? 2 Let n(c) = -c + 2. Let g be n(4). Let t(u) = -2*u**3 + 1 - 4 + 1 + 5*u + u**2. Let q(m) = -m**3 + m**2 + 2*m - 1. Let y(h) = g*t(h) + 5*q(h). Determine y(3). -1 Let y(v) = -1. Let h(c) = -c**2 + 5*c + 3. Let o(g) = h(g) - 3*y(g). Let d(a) = 5*a**2 - a + 1. Let j be d(1). What is o(j)? 6 Let g(p) = 7 - 2 + 1 - 2*p - 2. Calculate g(5). -6 Let y(q) = -q**3 - 2*q**2 + q - 1. Let j(d) = -d**2 + 8*d - 1. Let a be j(7). Let s be 1/(-1 + a/9). Calculate y(s). 5 Let p(v) be the third derivative of 0 - 1/60*v**5 - v**2 + 0*v + 1/6*v**3 + 1/8*v**4. Determine p(4). -3 Let z(k) be the first derivative of k**3/3 - 7*k**2/2 + 9*k + 12. Give z(6). 3 Let g(h) be the first derivative of h**4/4 - 2*h**3 + 2*h**2 - h - 2. Suppose -28*a - 15 = -31*a. Determine g(a). -6 Let w(c) be the second derivative of c**5/20 + c**4/12 - c**3/6 + c**2/2 + 18*c. Let n be 2*(0/1 + -1). Let v be n/6 - (-1)/3. Calculate w(v). 1 Let y(f) be the second derivative of f**3/2 - f**2 + 8*f. Give y(-2). -8 Let j(q) = q + 4. Suppose -2 = -2*s, -3*a + 6*a = -5*s + 23. Determine j(a). 10 Suppose -r = -0*r. Let g(d) = -2 + r - d + 4. What is g(0)? 2 Let v(h) be the second derivative of -h + 1/6*h**4 + 2/3*h**3 + 0 - 1/20*h**5 - 1/2*h**2. Give v(3). 2 Let c(n) = n**3 - 9*n**2 + 9*n - 12. Let w be c(8). Let m be w/(-1 - 3/(-9)). Suppose 2*b + 16 = m*b. Let k(o) = -o**2 + 5*o. What is k(b)? 4 Suppose -3*g = -4*v - 4, -5*g = -5*v - 0*v - 5. Let p(m) = -4*m - 1. Calculate p(v). 3 Let l(z) = -z**2 - 4*z + 5. Suppose 0 = -k + 5*k + 20. Give l(k). 0 Let a = 6 - 7. Let y(j) be the third derivative of 0*j + 3/20*j**5 + 2*j**2 - 1/6*j**3 - 1/12*j**4 + 0. Calculate y(a). 10 Let g(p) be the second derivative of 1/3*p**3 + 3/2*p**2 - p + 0 - 1/24*p**4. Let o(t) be the first derivative of g(t). What is o(0)? 2 Suppose 11*k - 6*k = -25. Let u(g) = -g**3 - 5*g**2 - 3*g - 6. Calculate u(k). 9 Let q(i) be the third derivative of -2/3*i**3 + 0*i + 0 - i**2 - 1/24*i**4. Let h(p) = -p**2 - 6*p. Let x be h(-6). Determine q(x). -4 Suppose -3*g = -0*n + n - 8, 2*n - 5*g + 39 = 0. Let t = n + 12. Let b(l) = -l**2 + 5*l + 2. Give b(t). 2 Let t(o) = -o + 1. Let f(s) = -6*s + 15. Let y(x) = f(x) - 9*t(x). Calculate y(-4). -6 Let z(s) = -s - 2. Let l(r) = -3*r - 5. Let f be (9/(-6))/(3/(-30)). Let o(t) = f*z(t) - 6*l(t). Let y(n) = n**2 - 4*n + 4. Let m be y(3). Calculate o(m). 3 Let y(t) = -10*t**2 + 73*t**3 - 35*t**3 + 0 - 39*t**3 - 8*t + 8. Determine y(-9). -1 Let x(y) = 7 + 5*y - y**2 - 1 + 0. Suppose 29 - 6 = 3*m + 2*k, 4*m - 5*k = 0. Calculate x(m). 6 Let n(d) = -2*d**2 - 16*d - 3. Let y be n(-8). Let z(o) = -2*o + 1. Calculate z(y). 7 Suppose 5*x + 22 - 2 = 0. Let p(g) = 3*g + 5. Calculate p(x). -7 Let r(z) = -2*z - 6. Let c be r(-3). Let w(o) = -o**3 - 7. Calculate w(c). -7 Let o = -14 + 16. Let f be -2 + o + 0 + 1. Let j(s) = -2*s**2 + 1. Calculate j(f). -1 Suppose 3*g = 2*c + 12, c + 4 = g - 0*g. Let z be (-5 - c)*6/(-10). Let k be (-3 - -4)/((-1)/z). Let q(p) = p - 1. Determine q(k). -4 Suppose 26*j = 25*j - 5. Let o be (-6)/(-4)*4/(-3). Let l be 2/(1*o/j). Let n(h) = -h. Give n(l). -5 Let g(v) = -v**3 - 5*v**2 + 2*v + 7. Let n be g(-5). Let l = 6 + n. Let a(u) = -u**3 + 3*u**2 + 1. Let j be a(l). Let z(r) = -2*r**2. Determine z(j). -2 Let t(v) be the second derivative of v**3/6 + v**2/2 + 8*v. Give t(6). 7 Let n(u) be the second derivative of 5*u**3/2 - u**2/2 - 38*u. Calculate n(-1). -16 Let c(y) = y**3 - 4*y**2 - 5. Let m(w) be the first derivative of -w**4/4 + 4*w - 3. Let l be m(0). Give c(l). -5 Let r = 12 - 9. Let i(n) = -n**3 - 5*n**2 + r*n**2 + 1 - 3*n**2. Give i(-5). 1 Let d be -1 + 0*(-1)/3. Let l(c) be the third derivative of -c**8/10080 + c**5/60 - 2*c**2. Let j(y) be the third derivative of l(y). Give j(d). -2 Let j be 15*-3*(-1)/3. Suppose -p + j = -4*p. Let m = 7 + p. Let c(s) = s**3 - 2*s**2 + 2*s - 1. Give c(m). 3 Let t(d) = 4*d. Let a(g) = -9*g. Let l(k) = -3*a(k) - 7*t(k). Suppose x = -3*x - 20. Let w(m) = m**2 + 7. Let c(f) = x*l(f) - w(f). What is c(5)? -7 Let c(w) be the third derivative of w**4/12 + w**3/3 + w**2. Let r(m) = -m. Let v be r(4). Let j be 12/v + 1 + -1. Determine c(j). -4 Suppose 7*o - 3*o = 3*j + 1, -5*o = -2*j - 3. Let s(l) = -4*l**3 - l**2 + 1. What is s(o)? -4 Let o(s) = 4*s - 1. Let b = -29 + 28. Give o(b). -5 Let x be 10/(-20) + 9/2. Suppose 7*b = -3 - x. Let l(r) = 2*r**2 + 2*r + 1. Determine l(b). 1 Let b(d) be the third derivative of -d**5/60 - d**4/4 + d**3/2 + 12*d**2 + 2*d. What is b(-6)? 3 Let o(h) be the second derivative of -h**4/12 - h**2/2 - 8*h. Determine o(2). -5 Let p be (-2 - -1)*0/(-5). Let j(x) = -2*x**2 + x - 1 + p*x + 0*x. Give j(1). -2 Let v(z) = -2 - 2*z - z + 6 + 4. Suppose -3*x + 18 = -0*x. Calculate v(x). -10 Suppose 5*c - 20 = -5*t, 63 = 3*c - 3*t + 21. Let l be ((-10)/15)/(2/c). Let w(p) = -p. Determine w(l). 3 Suppose 34*t + 30 = 29*t. Let m(c) = c**2 + 6*c + 6. Give m(t). 6 Suppose -10*n + 11*n = 12. Let j(u) = u**3 - 11*u**2 - 12*u - 6. Calculate j(n). -6 Let f(b) = -b - 10. Let m be f(-14). Let o be (6/(-8))/(2/(-8)). Let n(d) = 4 + 0*d - o*d + 2*d. Calculate n(m). 0 Let y(x) be the third derivative of 0*x - 1/6*x**3 + 1/60*x**5 - 2*x**2 + 0 + 1/24*x**4. Calculate y(-4). 11 Let y(m) = m - 1. Let p = 7 - 10. Let z be y(p). Let u(o) = -o. What is u(z)? 4 Suppose r = -2*r - 4*m + 20, 2*m = -2*r + 10. Let b(l) = l**3 - l**2 - l + 11. Give b(r). 11 Let x(z) be the first derivative of z**2/2 + 8*z + 6. Determine x(0). 8 Suppose 0 = -2*n + 6 - 0. Let s = -6 + n. Let r(z) = 3*z + 6. Let d(k) = 1. Let t(c) = -2*d(c) + r(c). What is t(s)? -5 Let m be (-38)/(-9) - (-20)/(-90). Suppose -12 = m*q - 4*g, 2*q + 4*g + 0*g - 24 = 0. Let z(s) = -4*s + 1. What is z(q)? -7 Let i(q) = -q**2 + q + 1. Let p(k) = 10*k**2 + 29*k - 19. Let g(s) = -5*i(s) + p(s). Let f(h) = -3*h**2 - 5*h + 5. Let t(m) = -24*f(m) - 5*g(m). What is t(1)? -3 Let f = -17 - -19. Let o(v) be the second derivative of
{ "pile_set_name": "DM Mathematics" }
ond derivative of -77*z + 104 + 24*z - 42 - 60 + 125*z**3 wrt z? 750*z Let y be (-392)/24 - 1/(-3). Let x be -2*-10*(-4)/y. Find the third derivative of 0*w**2 - x*w**6 + 3*w**5 - 3*w**5 - 2*w**2 wrt w. -600*w**3 Let g be (-4 - (-30)/9)*-3. What is the third derivative of 7*r**6 - 13*r**g + 20*r**2 + 8*r**6 wrt r? 1800*r**3 Let j(u) = 5 - 6 + 5*u - 6*u**2 - 6 - u**3. Let q be j(-7). What is the second derivative of 17*o - 2*o**4 - 8*o - 7 + q wrt o? -24*o**2 Let t(i) be the third derivative of i**7/21 + 7*i**6/120 - 91*i**3/6 - 15*i**2 - 1. Find the first derivative of t(j) wrt j. 40*j**3 + 21*j**2 Suppose -7*m + 2 = -6*m. Find the third derivative of 8*p**2 - 10*p**m + 4*p**3 + 9*p**2 wrt p. 24 Let v(w) = 5*w**3 + 4*w**2 - 10*w - 51. Let g(u) = -u**3 - u**2 + 1. Let k(h) = -4*g(h) - v(h). Differentiate k(z) wrt z. -3*z**2 + 10 Let c(d) be the second derivative of -433*d**6/30 + 599*d**2/2 + 355*d. Differentiate c(o) wrt o. -1732*o**3 Find the third derivative of 1182*u**4 - 1182*u**4 - 89*u**2 + u**5 + 27*u**6 + 14 - 11 wrt u. 3240*u**3 + 60*u**2 Suppose -5*h + 0*h = -25, -103 = -4*y + 5*h. What is the derivative of 17*l**3 + 15*l**3 + 10*l**3 + 6 - y*l**3 wrt l? 30*l**2 What is the third derivative of 77*z**3 + 1 + z**2 + 18*z**2 + 40*z**3 wrt z? 702 Let d(r) = 173*r**4 + 2*r**3 + 6*r**2 - 2*r - 15. Let t(i) = -i**4 - i**3 + i**2 + i + 2. Let k(c) = d(c) + 2*t(c). What is the third derivative of k(v) wrt v? 4104*v Let d(n) be the third derivative of 0*n**3 - 15*n**2 + 0 - 11/210*n**7 + 0*n + 0*n**4 - 19/60*n**5 + 0*n**6. Find the third derivative of d(r) wrt r. -264*r Let a(s) be the first derivative of 0*s + 0*s**3 - 23/2*s**2 + 10 + 0*s**4 - 14/5*s**5. Find the second derivative of a(y) wrt y. -168*y**2 Let w(g) be the second derivative of -52*g**6/15 - 21*g**2 - g + 26. Differentiate w(q) wrt q. -416*q**3 Suppose -2*z + 4 = 2. Suppose 14*c - 63 - 7 = 0. Find the third derivative of 1 - 3*g**6 - z - c*g**2 wrt g. -360*g**3 Let z(i) = -15*i**3 + 150*i**2 - 603*i. Let r(d) = d**3 + d**2. Let n(l) = 18*r(l) + z(l). What is the second derivative of n(g) wrt g? 18*g + 336 Let m(y) be the third derivative of 31*y**6/15 - y**4/3 + 126*y**2 + y. Find the second derivative of m(d) wrt d. 1488*d Let w(k) be the second derivative of k**4/6 - 121*k**3/6 - 192*k**2 - 24*k + 1. What is the derivative of w(t) wrt t? 4*t - 121 Let g(s) = s**3 - 5*s**2 + s - 5. Let x be g(5). Let v be 14*(4/8 - x). What is the third derivative of -2*i**2 + v*i**2 - 4*i**4 + 0*i**2 wrt i? -96*i Let c(q) = -3*q - 8 + 2*q + 0*q. Let l be c(-10). Find the second derivative of -l*o + 5*o**4 - 7 + 7 wrt o. 60*o**2 Let h(s) be the first derivative of 11*s**6/30 + 5*s**4/4 + 17*s - 31. Let q(x) be the first derivative of h(x). What is the third derivative of q(l) wrt l? 264*l Let d(f) = -1. Let b(o) = o + 3. Let c(i) = -b(i) - 2*d(i). Let t be c(-6). Find the second derivative of -10*z + 0*z**t - z**5 + 4*z**5 + 5*z**5 wrt z. 160*z**3 Let v(f) = 151*f**3 + 7*f**2 + 22*f - 11. Let a(x) = 75*x**3 + 4*x**2 + 11*x - 6. Let j(l) = -7*a(l) + 4*v(l). Find the second derivative of j(q) wrt q. 474*q Find the first derivative of 113 - 68 + 13 - 23*f**3 wrt f. -69*f**2 Let q(w) be the second derivative of -4*w**7/35 - w**4/4 + 2*w**2 - 5*w. Let r(c) be the first derivative of q(c). What is the second derivative of r(y) wrt y? -288*y**2 Let a(n) = n**4 - 1. Let o = 75 - 73. Suppose -3*r + 0 = 6. Let s(q) = 5*q**4 + 5*q**2 - 1. Let y(u) = o*a(u) + r*s(u). Find the third derivative of y(w) wrt w. -192*w Suppose -159 = 5*t - 654. What is the second derivative of 2*d**3 + 6*d - t + 99 wrt d? 12*d Let b(a) = 22*a**2 - 8*a - 6 + 4*a**2 - 8 + 14*a**2. Let f(o) = 13*o**2 - 3*o - 5. Let c(i) = -5*b(i) + 14*f(i). What is the second derivative of c(j) wrt j? -36 Suppose f = 23*f - 44. Let d(o) be the first derivative of -2/3*o**3 + 0*o - 7/2*o**f + 4. Find the second derivative of d(j) wrt j. -4 Differentiate 1604*i + 1493*i - 23 + 1509*i - 4884*i wrt i. -278 Find the second derivative of -129*d**5 - 156*d**5 + 7986*d + 95*d**5 - 8601*d wrt d. -3800*d**3 Let u(f) be the first derivative of -19 + 0*f - 2/3*f**3 - f**4 - 3/2*f**2. Find the second derivative of u(r) wrt r. -24*r - 4 Let i(p) be the second derivative of -p**5/5 - p**4/12 + 4*p**2 - 11*p. Let m(y) be the first derivative of i(y). What is the second derivative of m(v) wrt v? -24 Let k(a) = 6*a**2 + 66*a - 146. Let x(g) = -17*g**2 - 196*g + 436. Let l(t) = 8*k(t) + 3*x(t). Differentiate l(c) with respect to c. -6*c - 60 Let s(a) = -2*a - 22. Let g be s(-12). Suppose -9 - 21 = -5*j. Find the third derivative of 5*v**2 + 9*v**2 - 5*v**6 + 8*v**j - 3*v**g wrt v. 360*v**3 Let i(p) be the first derivative of -839*p**4/4 - 199*p**3/3 + 88. Find the third derivative of i(g) wrt g. -5034 Find the third derivative of -256*i**2 + 235*i**3 - 505*i**2 + 97*i**2 + 361*i**3 wrt i. 3576 Let y(p) = p**3 - 14*p**2 - 16*p + 17. Let l be y(15). What is the third derivative of 2*o**5 - l*o**5 + 16*o**2 + 26*o**6 - 69*o**6 wrt o? -5160*o**3 Suppose 4*o - 4*x = 16, -4*o - 2*x + 16 = -3*o. Let u be 10/o*(7 - -1). Differentiate -6 - u*p**3 + 13*p**3 + 5*p**3 wrt p. 24*p**2 Let k = 43 + -30. Let d = -8 + k. Find the second derivative of 4*c - d*c + c + 5*c + 4*c**5 wrt c. 80*c**3 Suppose -6*b - 6*b = -36. What is the third derivative of 57*j**3 - 18*j**3 - 24*j**3 - 47*j**2 - 22*j**b wrt j? -42 Let m(a) be the first derivative of a - 5/2*a**2 - 9. What is the first derivative of m(f) wrt f? -5 What is the second derivative of 41*i**2 - 46*i - 84*i**2 - 54*i**4 + 43*i**2 wrt i? -648*i**2 Let y(h) be the third derivative of -h**6/120 - 21*h**5/20 - 11*h**4/24 - 7*h**3/6 + 5*h**2 - 17*h. Find the second derivative of y(b) wrt b. -6*b - 126 Find the third derivative of -5*n**6 + 6*n**3 + 5*n**2 + 0*n**2 + 0*n**6 + 8*n**6 wrt n. 360*n**3 + 36 Suppose -3 + 5 = -4*u + 2*k, -3*k + 3 = -2*u. Let o(x) be the first derivative of -x**2 + 8 - 2/3*x**3 + u*x. What is the second derivative of o(p) wrt p? -4 Suppose 10*g - 6*g = 0. What is the second derivative of 19*z**3 - 16*z - 16*z + g*z wrt z? 114*z What is the third derivative of 7*j**2 + 0*j**3 + 6*j**3 + 7*j**4 - 6*j**3 + 16*j**2 wrt j? 168*j Find the third derivative of -25*v**3 + 396*v**5 - 24*v**3 + 49*v**2 - 396*v**5 + 3*v**6 + 7*v**3 wrt v. 360*v**3 - 252 Let l(y) be the first derivative of -13*y**7/840 + y**5/10 + y**3/3 - 4. Let d(q) be the third derivative of l(q). What is the second derivative of d(a) wrt a? -78*a Let c be 44/10 + (-8)/20. Suppose -12 = -r - 3*r, -c*v + 5 = -r. Find the third derivative of 7*l**3 - 3*l**3 - l**2 - 8*l**v wrt l. 24 What is the third derivative of 507*i**5 + 276*i - 276*i + 190*i**2 wrt i? 30420*i**2 Let t = 93 - 91. Differentiate 15*i + 16 - t - 12 with respect to i. 15 Let p(n) = 2*n**2 + 4*n - 6. Let b be p(3). What is the first derivative of 15 - 10 + 21 - b*m**3 wrt m? -72*m**2 Let w(x) be the first derivative of 367*x**5/5 - 4*x**3/3 + 367. What is the third derivative of w(a) wrt a? 8808*a Let x be (-4 + 7)/(-3) + 20. What is the first derivative of -x + 23*i + 24*i - 1 - 10*i wrt i? 37 Let k be 29 + (-4 - (-35)/5). What is the second derivative of -11*q - 8*q - 27*q - k*q**2 + 2 + 26*q wrt q? -64 Let y = 5749/6 + -957. Let r(s) be the third derivative of -9*s**2 - 1/10*s**5 - y*s**3 + 0 + 0*s**4 + 0*s. What is the first derivative of r(h) wrt h? -12*h Suppose -4*q + 0*q = -h - 8, -28 = -4*h - 4*q. What is the derivative of -12*w**h + 247 - w**4 - 200 wrt w? -52*w**3 Let j(g) be the first derivative of 0*g**2 + 0*g**3 - 4 - 11/2*g**4 + 12*g. What is the first derivative of j(i) wrt i? -66*i**2 Let n(i) be the second derivative of -15*i**5/4 + i**3/3 - i**2 - 8*i + 9. What is the second derivative of n(f) wrt f? -450*f Let c(x) be the second derivative of 43*x**6/6 + x**3/6 - 217*x**2 + 702*x. Differentiate c(k) wrt k. 860*k**3 + 1 Let z = -46 + 50. Let g = 16 + -8. Find the first derivative of g - 3*t**2 - 11*t**z + 3*t**2 - 18 wrt t. -44*t**3 Suppose -20*p + 16 = -16*p. What is the third derivative of -b**2 - 5 + 5 + 5*b**4 - p*b**2 wrt b? 120*b What is the third derivative of -32*a**2 + 262*a**6 - 30*a**2 - 252*a**6 wrt a? 1200*a**3 Find the third derivative of -223*g**2
{ "pile_set_name": "DM Mathematics" }
j(f) = f**3 - 8*f**2 - 5*f - 27. Let i be j(9). Let o(t) = 154*t - 179. What is the units digit of o(i)? 7 Let q(o) = -120*o - 278. Let n(l) = -59*l - 140. Let v(x) = -9*n(x) + 4*q(x). What is the hundreds digit of v(11)? 7 Suppose 80 - 120 = 5*w. Let f(n) = -109*n - 182. What is the hundreds digit of f(w)? 6 Let v(c) be the second derivative of -c**4/12 + 7*c**3/3 - c**2/2 + 18*c. Let d be v(14). What is the tens digit of (2 + d + -1 - 1) + 39? 3 Suppose -399*u + 12 = -393*u. Suppose -4*v = -u*v + 2*p - 118, 5*p = 5. What is the units digit of v? 8 Let n = 61 - 54. Suppose -3*t = 2*q, 2*t = q - 0*q + n. Suppose 4*o + 2*l = 58, -3*o - t*l - 6 + 51 = 0. What is the units digit of o? 3 Let b = 59 + -18. Let p(t) = t**2 + 17*t - 11. Let d be p(-18). Suppose b = 3*g - d. What is the units digit of g? 6 Suppose 249598 = 4*l + q - 39320, 0 = -4*q - 24. What is the ten thousands digit of l? 7 Suppose z + 4*z = 5*g + 245, 4*g + 3*z + 182 = 0. Let o = g + 47. Suppose 2*c - k = -o*k + 98, 0 = -5*k - 20. What is the tens digit of c? 4 Let d be 6*(95/30 - 3)*0. Suppose -4*g + 2*g = 0. Suppose g = -d*c - 7*c + 651. What is the units digit of c? 3 Let m(l) = 11*l**2 - 9*l + 8. Let f be m(1). Let g(v) = -v**3 + 11*v**2 + 6*v - 13. What is the tens digit of g(f)? 4 Suppose -5 = -3*f + 2*f. Suppose 104 = 2*h - 2*w, f*h - 4*w - 257 = -0*w. Suppose -33 = -2*d + h. What is the units digit of d? 1 Let g(s) = 5*s - 14*s**2 - 17*s**2 + 17 + 32*s**2. What is the hundreds digit of g(11)? 1 Let j(b) = -9*b - 11. Let r be j(-17). Suppose 4*i + 3*x = 435 + r, 4*i - 4*x - 556 = 0. What is the units digit of i? 2 Let r(p) = 62*p**2 - 33*p - 388. What is the units digit of r(-14)? 6 Suppose -5*u - 3*i + 32 - 3 = 0, -2*i + 22 = 4*u. Suppose u*x - 2218 = 2*q + q, x - 560 = -2*q. What is the hundreds digit of x? 5 Let q(o) = 3*o**3 - 9*o**2 - 5*o + 1. Let t be q(5). Suppose 68 = -2*x + x. Let h = x + t. What is the units digit of h? 8 Suppose -5*m = 5*y - 130, 0 = 3*y + 24 - 9. Let s = m + -22. What is the units digit of s/((-18)/(-80)) - 1*2? 8 Let p = 13510 - 6099. What is the units digit of p? 1 Suppose 4*m + 220 = 2*o, -4*o - 4*m + 7*m + 455 = 0. Suppose 375 = 5*a + 2*g - 173, -a - 2*g + o = 0. What is the hundreds digit of a? 1 Suppose 295*i - 279*i = 63376. What is the units digit of i? 1 Suppose 0 = 8*t + 11728 - 75296. What is the hundreds digit of t? 9 Let g be (6*3/42)/((-2)/(-14)). Let n(r) = -r**3 + 5*r**2 + 7*r - 7. Let t be n(6). What is the hundreds digit of (t - 286/(-4))*8/g? 1 What is the tens digit of 11/(-22)*(-22)/2*162? 9 Let y(d) = d**2 + 6*d + 1. Let s be y(-7). Suppose 900 = s*g - 1348. What is the tens digit of g? 8 Suppose -13*w + 11*w = 166. Let o = -80 - w. Suppose o*h + 74 - 242 = 0. What is the units digit of h? 6 Suppose -4*j - 2*s - 106 = 0, 4*j + s = -27 - 76. Let o = -25 - j. Suppose o = -d - 1 + 35. What is the units digit of d? 4 Let l = 251 - 140. Suppose 306 = 3*y + l. What is the tens digit of y? 6 Let i = -574 - -577. Suppose -2*k + 5*f + 1207 = 0, 3*k + 606 = 4*k - i*f. What is the hundreds digit of k? 5 Let f = 220 + -199. Suppose -17*d + f*d = 1436. What is the units digit of d? 9 Let o be ((-3)/(-6))/((-4)/(-16)). Suppose 3*u - 42 = o*u. Suppose -u = -n + 29. What is the units digit of n? 1 Suppose -3*k - 6*z + 2154 = -z, z + 3618 = 5*k. What is the tens digit of 6/14 + k*(-20)/(-70)? 0 Let r = 66 - 69. Let p be r/(-1) - (0 - 0)/(-2). Suppose -2*s = -p*j - 95, -s = -4*j - 0*j - 35. What is the tens digit of s? 5 What is the thousands digit of 2/(-5)*142718710/(-1108)? 1 Suppose 10*l - 1594 = -14. Let r = l + 278. What is the units digit of r? 6 Let l(j) = 38*j**3 - 12*j**2 + 62*j - 416. What is the hundreds digit of l(6)? 7 Let d be 1/1 + (-470)/(-10). Let p be (3 + (-111)/12)/((-4)/d). What is the hundreds digit of ((-3)/(-12) - 172/(-80))*p? 1 Let p(i) = -i**3 - 9*i**2 - 9*i - 8. Let n(q) = -22*q - 55. Let v be n(-2). What is the tens digit of p(v)? 3 What is the units digit of 8/2*4669832/272? 4 Let u be 1675 - (-4 + (5 - (-4 - -2))). Suppose 4*f = 3*g - u, -g - 2*f + 436 = -128. What is the hundreds digit of g? 5 Let r(p) = 37 - 63 - 24 - 9 - 89*p. What is the tens digit of r(-8)? 5 Let g = 3054 + 6827. What is the tens digit of g? 8 Let q = -1807 - -1750. Suppose 0 = -0*s + 2*s - 6. What is the units digit of ((-13)/s*q)/(0 + 1)? 7 Let v(s) = -2*s**2 - 18*s - 31. Let a be v(-6). Suppose -a*n - 3011 = -3*q, 0 = 2*q + 2*q - 4*n - 4004. What is the units digit of q? 7 What is the hundreds digit of (5 + ((-210)/48 - (-3)/(-24)))*16386? 1 Suppose 0 = 2*p - p - 59. Suppose 4*r - 5*m = -p, 5*m = -4*r - 17 - 12. Let q(u) = u**3 + 11*u**2 - 4*u - 5. What is the units digit of q(r)? 9 Let w be (-3 - (-1)/1)/(15 + -17). Let l = w + 128. Let y = -82 + l. What is the tens digit of y? 4 Suppose -2*b - 216 = 6*b. Let g(r) = -r**3 - 26*r**2 + 23*r + 78. What is the hundreds digit of g(b)? 1 Let y be 4/(-6) + (-338)/(-39). Suppose -4*t + 10 = -18. Suppose -6 - y = -t*q. What is the units digit of q? 2 Suppose 9*r - 153 - 441 = 0. Let l be 3/(-3)*r/(-1). Let o = l + 11. What is the units digit of o? 7 What is the thousands digit of 2583 + (-7 - 3 - -6)? 2 Suppose q - 33*l + 32*l = 1377, -4*l = q - 1387. What is the thousands digit of q? 1 Suppose x + 2*x - 9 = 0. Suppose x*h = -0*h, h = -l + 146. Suppose -4*t + 2 = -l. What is the tens digit of t? 3 Let c(q) = -q**2 + 12*q. Let l be c(12). Suppose l = -3*f + 3*u + 2*u + 46, -3*f = -2*u - 58. Let o = 59 - f. What is the tens digit of o? 3 Let c(n) = 462*n - 2912. What is the units digit of c(9)? 6 Suppose 15 = -3*k, 4*d + 1177 = -112*k + 111*k. Let y = 2311 + d. What is the thousands digit of y? 2 What is the thousands digit of 25500/2 - 29/((-435)/(-90))? 2 Suppose 0 = 4*b - 827 + 299. Let f(y) = 61*y. Let o be f(-1). Let t = o + b. What is the units digit of t? 1 Suppose 5*j + 2*s + 1995 = 24796, 18248 = 4*j + 4*s. What is the tens digit of j? 5 Let q(n) = 383*n**2. Let f be q(-1). Suppose -f = -4*b + 25. Let j = b - 68. What is the tens digit of j? 3 Let u be 7/((-35)/(-598)) - (-4)/10. Suppose 5*o - 25 = 0, -4*s + 4*o + 15 = -13. Suppose 8*g + u = s*g. What is the units digit of g? 0 Let l(t) = -56*t**3 - 19*t**2 - 9*t - 167. What is the ten thousands digit of l(-10)? 5 Suppose -11*q - 5313 + 2002 = 0. Let r = q + 680. What is the hundreds digit of r? 3 Suppose 583*h = 580*h - 5*x + 97294, 4*x = -h + 32450. What is the hundreds digit of h? 4 Suppose 0 = -4*h - 2*h - 12. Let d be h + 6 + (-44)/11. What is the units digit of -4 - (-47)/1 - d? 3 Let f(x) = 89*x**2 + 136*x + 3079. What is the units digit of f(-19)? 4 Suppose -5*j + 2*m = 1 - 12, 0 = 2*j - 5*m + 4. Suppose -g = j*a - 4*a + 189, 2*g + 948 = 5*a. What is the tens digit of a? 9 Let f(d) = -8*d + 2. Let z be f(2). Let j be 6030/(-35) - 4/z. Let c = -80 - j. What is the units digit of c? 2 Suppose -35*y + 33444 = 4036 - 136387. What is the tens digit of y? 3 Let f(n) be the second derivative of -233*n**3/6 - n**2 + 9*n. Let w be f(-4). Suppose 7*m - w = m. What is the hundreds digit of m? 1 Let h(v) = 6 - 2*v + 39*v**2 - 3*v + 0*v. Let p = -6901 - -6903. What is the tens digit of h(p)? 5 Let k = 77 - -883. Let b = k - 613. What is the hundreds digit of b? 3 Suppose 0*n - 9 = -3*n. Suppose -h + 3*h + n*x = 37, -2*h = -4*x - 2. What is the units digit of (h/2)/(6/252)? 1 Let s(n) = 10*n**2 + 31*n - 9. Let q(c) = -6*c + 221. Let r be q(39). What is the thousands digit of s(r)? 1 Suppose 12 - 4 = 2*m. Let o be -4*(-12 + 16 + -5). Suppose -m*k = o*k - 672. What is the units digit of k? 4 Let g = 33 - 34. Let p be g + 3/(-3) + 4. Suppose -3*z + 361 = -0*z - m, 3*m = p*z - 236. What is the hundreds digit of z? 1 Suppose 32*s - 22410 = 59*s. Let w = s + 1884. What is the hundreds digit of w? 0 Let a(b) = -7*b**3 - 5*b**2 + 47*b + 158. What is the thousands digit of a(-9)? 4 Suppose 0 = 5*d + 4*c - 11184, d + 14*c - 2214 = 17*c. What is the thousands digit of d? 2 Let o = 3435 - -10174. What is the ten thousands digit of o? 1 Suppose 5 = 3*r - 22. Let y be ((-24)/r)/(2/(-3)). What is the units digit of (7/6)/((-2)/y)*-15? 5 Let n be 2/(-9)*6*(-405)/6. Suppose -5*b + 34 = -4*i - 15, -4*i - 9 = 3*b. What is the units digit of 4 - (2/i)/(10/
{ "pile_set_name": "DM Mathematics" }
**4/3 + f**3/3 - f**2 + 2*f + 1891. Let m(j) = 23*j**2 + 12*j - 11. Determine 6*m(p) - 34*n(p). 2*p**2 + 4*p + 2 Let j be (-6)/7*(-70)/15. Suppose 7*v = j*v + 12. Let o(x) = 2*x**2 - v*x - 5*x**3 + 0*x**2 - 2*x**2. Let p(r) = 6*r**3 + 5*r. Determine 5*o(i) + 4*p(i). -i**3 Let q(j) = 50*j**3 + 4*j**2 - 10*j + 2. Let o(y) = 98*y**3 + 7*y**2 - 18*y + 4. Determine -4*o(l) + 7*q(l). -42*l**3 + 2*l - 2 Let g = 75 + -73. Let q(r) = -2 - g*r + 5 + 0*r + r. Let m(b) = -b. What is -3*m(o) + q(o)? 2*o + 3 Let p(v) = -4*v**3 + 3*v**2. Suppose 39*m = 12118 - 67. Let u = m - 304. Let k(r) = -4*r**3 + 4*r**2. Calculate u*p(l) - 4*k(l). -4*l**3 - l**2 Let m(y) = -18*y - 14. Let j(h) = 16*h + 13. Let s(x) = 5*j(x) + 4*m(x). Let l(a) = -7*a - 9. Give -7*l(w) - 6*s(w). w + 9 Let o(j) = -j - 201. Let i(d) = -d - 194. Determine 5*i(t) - 4*o(t). -t - 166 Let o(v) be the third derivative of -v**4/12 - 72*v**2. Let d(x) be the first derivative of -x**2/2 + 17. Determine -3*d(h) + 4*o(h). -5*h Let i(d) = 69*d**3 - 13*d**2 + 6*d. Let z(y) = -67*y**3 + 8*y**2 - 6*y. Give 2*i(m) + 3*z(m). -63*m**3 - 2*m**2 - 6*m Let l(q) = -8*q**3 + 11*q**2 - 69*q - 25. Let k(g) = -3*g**3 + 4*g**2 - 23*g - 8. Give 11*k(h) - 4*l(h). -h**3 + 23*h + 12 Let t(z) = -978*z**3 + 22*z**2 + 33*z + 19. Let u(w) = 326*w**3 - 8*w**2 - 12*w - 6. Determine 4*t(s) + 11*u(s). -326*s**3 + 10 Let r = 738 + -733. Let q(g) = -g**3 + 4*g**2 - 2*g + 33. Let c be q(r). Let w(p) = -p**2 - p. Let l(a) = 36*a**2 + 33*a. Give c*l(o) - 66*w(o). -6*o**2 Let z(g) = 7*g**2 - g - 3. Let h(m) = -5*m**2 - 30*m - 1. Determine h(p) + z(p). 2*p**2 - 31*p - 4 Let i(t) be the second derivative of -1/6*t**3 - 1/2*t**2 + 0 - 3*t. Let n(s) = -4. Let j(u) = 4*i(u) - n(u). Let z(q) = -4*q. What is 4*j(x) - 3*z(x)? -4*x Let o(v) = 11*v + 1123. Let k(q) = 8*q + 736. What is 7*k(w) - 5*o(w)? w - 463 Suppose w - s = 0, -143*s + 148*s = -w + 36. Let d(l) = 3*l**3 - 3*l - 1. Let p(r) = 7*r**3 - 5*r - 2. Determine w*p(u) - 10*d(u). 12*u**3 - 2 Suppose -15*y - 5*m = -13*y - 50, 0 = 5*y - 4*m + 7. Let l(k) = -4*k**3 - 6*k**2 - 4*k + 1. Let j(h) = 4*h**3 + 7*h**2 + 5*h. Calculate y*l(w) + 4*j(w). -4*w**3 - 2*w**2 + 5 Let m(s) = 89. Let g(p) = p + 177. Let q(a) = g(a) - 2*m(a). Suppose -18 = -5*y + 2. Let z(f) = 2*f**2 + 2*f - 5. Determine y*q(i) - z(i). -2*i**2 + 2*i + 1 Let x(h) = 27*h**2 - 26*h - 22. Let v(y) = 18*y**2 - 18*y - 15. Calculate 10*v(f) - 7*x(f). -9*f**2 + 2*f + 4 Let p(b) = -7*b**2 - 2*b + 2. Suppose -1106*a + 1094*a = -72. Let o(g) = -225*g**2 - 65*g + 65. What is a*o(v) - 195*p(v)? 15*v**2 Let r(h) be the third derivative of -h**6/24 + h**5/12 - h**4/3 - h**3/2 - 220*h**2 + 13*h. Let a(l) = -4*l**3 + 4*l**2 - 7*l - 2. Give 4*a(x) - 3*r(x). -x**3 + x**2 - 4*x + 1 Let b(s) = 8*s**3 - 3*s**2 - 74*s - 3. Let v(q) = -16*q**3 + 5*q**2 + 146*q + 5. Determine 10*b(h) + 6*v(h). -16*h**3 + 136*h Let d(z) = -2*z**2 - 7 + 3*z**2 - 2*z + 0. Let g be (1/(-2))/((-8)/64). Let c be d(g). Let q(a) = -a + 4. Let l(o) = -o + 1. Calculate c*q(r) - 3*l(r). 2*r + 1 Let i(s) = 2004*s**3 - 8*s**2 + 16*s + 8. Let x(d) = -667*d**3 + 3*d**2 - 6*d - 3. Give 3*i(z) + 8*x(z). 676*z**3 Let t(p) = 3*p + 2. Let q(l) = 2*l + 1. Let x be (18 - 14) + 22/(-2). What is x*q(g) + 5*t(g)? g + 3 Let b(t) = 35*t**2 + 20*t + 8. Let i(p) = 70*p**2 + 42*p + 18. Calculate 9*b(a) - 4*i(a). 35*a**2 + 12*a Suppose -5*u - 2*g = 1044, -739 = 4*u + 3*g + 92. Let z(r) = -200*r. Let i(m) = -3*m. What is u*i(n) + 3*z(n)? 30*n Let k(o) = -940. Let s(i) = -i - 2842. Give 7*k(b) - 2*s(b). 2*b - 896 Let a be (-60)/(-8)*(5 + (-133)/35 - 2). Let w(n) = -2*n - 21. Let l(r) = r + 11. Determine a*w(q) - 11*l(q). q + 5 Let m(a) = -5*a**3 + 5*a**2 - 8*a + 16. Let r(k) = -7*k**3 + 13*k + 14. Let g be r(-1). Let q(b) = 2*b**3 - 2*b**2 + 3*b - 5. Determine g*q(t) + 3*m(t). t**3 - t**2 + 8 Let a(c) = 10*c - 4. Let s be (-6)/((-7)/(-2) - 2). Let o(z) = z + 5. Let r(y) = 10*y + 26. Let j(d) = 11*o(d) - 2*r(d). Calculate s*j(g) - 3*a(g). 6*g Let r(p) = -11485*p - 26. Let i(q) = -11484*q - 23. What is -9*i(v) + 8*r(v)? 11476*v - 1 Let u(x) = -260*x + 134*x - 3 + 129*x + 4*x**2. Let n(c) = 5*c**2 + 4*c - 4. What is -3*n(w) + 4*u(w)? w**2 Let u be ((-302)/453)/((-2)/(-18)). Let o(f) = -10*f**3 + 3*f**2 + 3*f. Let j(s) = 220*s**3 - 65*s**2 - 65*s. Determine u*j(y) - 130*o(y). -20*y**3 Let i = 223091 - 223094. Let m(b) = -2*b - 4. Suppose f = 4*f - 12. Let x(v) = -2*v - 5. Determine f*m(q) + i*x(q). -2*q - 1 Let f(h) = h**3 + 3*h**2 + 3*h + 1. Let t(r) = -r**3 + r**2 - r + 1. Let x(y) = -436*y + 7847. Let n be x(18). Give n*f(p) + t(p). -2*p**3 - 2*p**2 - 4*p Let h(q) = -2497*q - 454. Let l(g) = 14*g + 2. Calculate -2*h(k) - 454*l(k). -1362*k Let n(k) = -k**2 - 4*k - 4. Let y(p) = p**2 + 4*p + 5. Let b be (-2394)/315 + 24/15. Determine b*n(g) - 5*y(g). g**2 + 4*g - 1 Suppose 156*g + 131 = 20*g - 277. Let l(w) = w**3 + 3*w**2 + w + 1. Let d(r) = -r**3 - 2*r**2 - r. Calculate g*d(t) - 2*l(t). t**3 + t - 2 Let s(c) = 28*c**3 + 7*c**2 - 39*c + 1. Let a(q) = 5*q**3 - q**2 + 2*q. Calculate 6*a(v) - s(v). 2*v**3 - 13*v**2 + 51*v - 1 Suppose 5*n + 2 = -8. Let a(t) be the first derivative of -t**4/4 + t**3 - 3704. Let k(q) = 2*q**3 - 2*q**2. Give n*k(w) - 3*a(w). -w**3 - 5*w**2 Let i(y) = 4*y**2 - 5*y + 1. Let h(d) = 116*d - 50*d - 3*d**2 - 2 - 60*d. Let t(q) = 3*h(q) + 4*i(q). Let r(o) = o**2. Calculate -6*r(w) + t(w). w**2 - 2*w - 2 Let v(u) be the third derivative of -u**5/15 + u**4/4 + u**3/2 + 322*u**2. Let s(k) = -11*k**2 + 17*k + 8. Determine 3*s(p) - 8*v(p). -p**2 + 3*p Let i(s) = 5*s - 6*s + 2*s - 7*s - 107. Let u be i(-17). Let g(o) = -6*o**3 - 2*o**2 - 7*o. Let r(w) = 9*w**3 + 3*w**2 + 11*w. Give u*r(b) - 8*g(b). 3*b**3 + b**2 + b Let x(c) = -8*c + 1. Let r(l) = 898*l - 5. What is -r(b) - 3*x(b)? -874*b + 2 Let k(b) = -3*b**3 + 6*b**2 + 103*b + 9. Let l(d) = -2*d**3 + 5*d**2 + 82*d + 8. What is 4*k(g) - 5*l(g)? -2*g**3 - g**2 + 2*g - 4 Let u(k) = -14*k - 1. Let o(t) = 3*t + 9. Determine -o(p) - 6*u(p). 81*p - 3 Let l(v) = v**3 + 2*v**2 - v - 14. Let s(c) = -11*c**3 + 4*c**2 - 4*c - 30. Determine -2*l(b) + s(b). -13*b**3 - 2*b - 2 Let g(m) = m**3 + 158*m**2 + m - 22. Let v(r) = -2*r**3 - 316*r**2 - 2*r + 38. Determine 7*g(u) + 4*v(u). -u**3 - 158*u**2 - u - 2 Let a(c) = c**2 + c - 1. Let m(n) = -3*n**3 + 18*n**2 - 33*n - 9. Let f(s) = 3*s**3 - 21*s**2 + 40*s + 10. Let i(x) = -5*f(x) - 6*m(x). What is -4*a(v) - i(v)? -3*v**3 - v**2 - 2*v Let q(y) = 16*y - 1. Suppose 0 = -88*w + 248 + 264 - 72. Let k be 7/2*(-2 - 0). Let d(z) = 2 + 1 - 4 + 11*z. What is k*d(x) + w*q(x)? 3*x + 2 Let s(q) = -q + 16. Let r(p) = -6*p + 86. Let y(w) = -3*r(w) + 16*s(w). Let g(h) = 3*h - 2. Give 6*g(a) - 5*y(a). 8*a - 2 Suppose 4*j + 6*q - 19 = 3*q, 0 = 5*j + 3*q - 20. Let m(b) = -4*b**2 - 4*b + 1. Let u(p) = 22*p**2 - 26*p**2 + 1 - p + 3*p**2. Determine j*m(f) - 3*u(f). -f**2 - f - 2 Let v(o) = -81*o + 71. Let j(a) = -a**2 + 61*a - 71. Determine -4*j(w) - 3*v(w). 4*w**2 - w + 71 Let w(u) = -213*u - 33152. Let v(b) = 25*b + 4144. Give -17*v(f) - 2*w(f). f - 4144 Let f(v) = -7*v**2 + 3*v - 2. Let d(u) = 30 - 3*u**2 + 37 + 9*u - 74 + 0*u**2 - 18*u**2. What is -2*d(h) + 7*f(h)? -7*h**2 + 3*h Let g(k) = -64*k**2 + 19*k + 11. Let p(f) = -65*f**2 + 21*f + 13. What is -7*g(i) + 6*p(i)? 58*i**2 - 7*i + 1 Let r = -31 - -32. Let z(t) = 3 - 2 + 0 + 3 - 3. Let n(o) = -3*o + 7. Give r*n(p) - 6*z(p). -3*p + 1 Let v(j) = 213 + 213 - 639 + 7*j + 215. Let x(u) = -u. Determine -v(d) - 4*x(d). -3*d - 2 Let n be -1*(-24 + 13)/(-11). Let p(y) = 6*y**3 - 5*y**2 - 5*y + 2. Let m(d) = -d**3 + d**2 + d + 1. Give n*p(h) - 5*m(h). -h**3 - 7 Let t(i) = -75*i**2 - 69*i + 12. Let c(l) = -26*l**2 - 23*l + 4. Give 11*c(a) - 4*t(a). 14*a**2 + 23*a - 4 Let l(w) = 6*w**2. Let o = -2214 + 2220. Let v(m) = -3*m**2 + 0*m**2 + m**2. What is o*v(a) + 3*l(a)? 6*a**2 Let i(p) = p. Let w(d) = 6*d. Let s(j) = 2*i(j) - w(j). Suppose 6 + 1 = -15*m + 22. Let r(h) = -h**3. Give m*s(y) - 2*r(y). 2*y**3 - 4*y Let b(c) = -2*c + 2. Let r(y) be the third derivative of -y**4/8 + 2*y**3/3 - 3*y**2 - y. Let q(u) = 7*b(u) - 5*r(u). Let w(n) = -1. Calculate 2*q(k) - 10*w(k). 2*k - 2 Let p(w) = 26*w + 84*w - 1 + 0 - 111*w. Let d(u) = 6*u - 6. Calculate -d(i) + 4*p(i). -10*i + 2
{ "pile_set_name": "DM Mathematics" }
+ 15*w - 5. Let h be a(4). What is the greatest common divisor of h and 357? 51 Let q(w) = 4*w**2 + 102*w - 35. Let v be q(-26). Calculate the greatest common divisor of v and 1751. 17 Let z be (-243)/((-3)/4 + (-27)/36). What is the greatest common factor of z and 81? 81 Suppose -3*c = 6*c - 621. What is the highest common factor of c and 184? 23 Let f be 663/9 + 0 + (-50)/30. Calculate the highest common factor of f and 16. 8 Let t(q) = 19*q + 2. Let b be t(2). Let g = -3501 - -3517. Calculate the greatest common factor of g and b. 8 Suppose 3*r + 4*b = 256, 19*r - 23*r + 339 = 3*b. What is the highest common divisor of r and 294? 42 Let g = 40 - 38. Suppose 0 = 2*c - 2*a, -4*c + 4*a + 1 = c. Calculate the highest common divisor of g and c. 1 Let x(d) = d**3 + 18*d**2 - 7*d + 27. Let i be x(-18). Calculate the greatest common factor of i and 17. 17 Let u(k) = k**3 - k**2 + 31*k - 58. Let s be u(2). What is the greatest common factor of s and 7? 1 Suppose 3*u + 65 = -5*p, 3*u - 5*p = -79 - 6. Let a = -12 - u. Calculate the highest common divisor of a and 39. 13 Suppose 0 = 10*o - 14*o - 40. Let g be (44/o)/(7/(-35)). Let c(t) = 197*t**2 + 1. Let r be c(1). What is the greatest common factor of g and r? 22 Suppose 2*k + 0*k = -3*a - 25, 4*a = 4*k - 20. Let r be (48/a)/6*-7. What is the highest common divisor of 72 and r? 8 Let v(q) = 2*q**2 - 10*q - 12. Let c be v(11). Suppose c = w + 4*w. Calculate the greatest common factor of w and 24. 24 Let y(a) = -a**2 - 3*a. Let p be y(-3). Suppose -u - u + 2186 = 4*s, 3*u - 15 = p. Calculate the greatest common factor of 68 and s. 68 Let o = -12 - -16. Suppose -3*i + 42 = o*u, -4*i + 14 = -3*i - 2*u. Calculate the greatest common factor of 7 and i. 7 Let u = 52 - 26. Suppose -u + 56 = z. Let j = -101 + 146. What is the highest common factor of z and j? 15 Let b(g) = g**2 + 3*g + 2. Let w(s) = -4*s + 21. Let k be w(6). Let d be b(k). Suppose p + d = 3. Calculate the highest common divisor of 2 and p. 1 Let c = -33 + 33. Suppose c = -2*x - s + 6, 5*s = -0*x - 3*x + 16. Calculate the highest common factor of x and 14. 2 Suppose 8*x - 32 = 4*x. Let r(g) = -g - 4. Let h be r(-6). Let p be (3 - 1)*h - -60. What is the greatest common factor of x and p? 8 Suppose -2*m + 6*m = 0. Suppose m*o = -4*o. Suppose -p + 52 - 3 = o. Calculate the highest common factor of 7 and p. 7 Let d(y) = y**2 - 6*y - 26. Let x be d(12). Calculate the greatest common factor of x and 207. 23 Let f be (-130)/(-45) - 3/(-27). Suppose -2*u = f*s + 2*u - 30, -s = 3*u - 15. What is the greatest common divisor of 30 and s? 6 Suppose 3*t - 300 = -2*t. Let u(o) = -10*o - 2. Let n be u(-1). Suppose w - 4 = n. Calculate the greatest common factor of w and t. 12 Suppose -g + 26 = -4*u, 5*g - 3*u = 2*u + 175. Suppose 2*d + 4*j - g = 0, 3*j + j - 119 = -5*d. Calculate the highest common factor of d and 36. 9 Suppose -3*r + 171 = -2*y, -2*y - 211 = -4*r + 17. Calculate the greatest common factor of r and 24. 3 Suppose 3*d - 5*v - 76 = d, 5*v - 225 = -5*d. Let x = d + -28. Calculate the highest common divisor of x and 30. 15 Let q(l) = 96*l - 31. Let j be q(7). Suppose r = 4*x - 1328 - 490, 0 = 3*x + 2*r - 1358. Let d = j - x. Calculate the greatest common factor of 17 and d. 17 Suppose -3*i + 66 = -0*i. Let x(a) = 2*a**2 - 2*a - 6. Let k be x(-2). Suppose -9*f + k + 12 = 0. Calculate the greatest common divisor of i and f. 2 Let x = 33 + -25. Let k(p) = p**3 - 8*p**2 + 1. Let s be k(x). Suppose 0 = -2*q + 7*q - 5. Calculate the highest common factor of s and q. 1 Suppose -3*v = 70 - 184. What is the greatest common divisor of v and 437? 19 Let u be (-7)/(14/(-32)) - 0. Suppose -2*g + 86 = u. Let n be ((-2)/5)/((-1)/g). Calculate the greatest common factor of n and 14. 14 Let r be 3/((6 + -4)/((-26)/(-3))). Calculate the greatest common divisor of r and 3497. 13 Let o(m) = 2*m**2 + 4*m. Let v be o(-4). Suppose 1011*a - 1016*a - 82 = -s, 2*s - 218 = a. What is the greatest common factor of v and s? 16 Let o be -19 + 23 + (1063 - -1). Calculate the highest common divisor of o and 12. 12 Suppose 2*d - 3*b - 186 = -31, 4*d + 2*b = 302. Let x = 1357 + -1338. Calculate the highest common divisor of x and d. 19 Suppose -8*w + 12 = -4*w. Suppose 0 = w*c - 1 - 53. Let l = 294 + -168. What is the greatest common factor of c and l? 18 Let t(o) = 28*o - 3. Suppose -3*m - 36 = -3*l, 0*l + 4*m - 12 = -l. Suppose l = u + 3*u. Let q be t(u). What is the greatest common divisor of q and 9? 9 Let q be 18*(-4)/32*-8. What is the greatest common factor of 18 and q? 18 Let k be (70/4 - -2)*(-246)/(-9). Suppose -k = -9*v + 286. Calculate the greatest common divisor of v and 13. 13 Let v = -7 - -18. Let r = 1935 + -1934. What is the greatest common factor of r and v? 1 Let h = 799 - 749. What is the highest common divisor of h and 775? 25 Let p = 0 - -6. Let r = p - 12. Let l = r - -18. What is the highest common factor of l and 18? 6 Let s(y) = y**2 - 51*y + 134. Let c be s(49). Calculate the highest common divisor of c and 477. 9 Let f(y) be the second derivative of 7*y**3/3 + 21*y. Let b be f(4). Suppose -8 = -2*v, 3*v = -c - v + 24. What is the greatest common factor of b and c? 8 Let y = 350 + -318. Suppose -s + 30 = -18. Calculate the greatest common factor of s and y. 16 Let y(f) = 2*f**2 - 4*f + 7. Suppose 0 = l + 3 - 7. Let q be y(l). What is the greatest common divisor of q and 92? 23 Let c = 4 - -2. Suppose 289 = c*z - 47. Calculate the highest common divisor of 42 and z. 14 Let i(d) = -9*d - 1. Let w = 38 - 40. Let v be i(w). What is the greatest common divisor of 51 and v? 17 Let s(k) = 25*k + 6. Let z be s(2). What is the highest common factor of 7 and z? 7 Let f be (-2)/8 - 2967/(-92). Let j = f + -22. What is the greatest common factor of j and 90? 10 Suppose 3*g = -g + 12. Let f be (90/(-4))/(g/(-4)). Suppose v - 2*r - 18 = 0, -2*v - 2*v + 4*r = -76. What is the highest common factor of f and v? 10 Suppose c = 3*i + 420, 5*c - 249 - 183 = 3*i. Let w = -216 - i. Let o be (-5808)/w - 3/7. Calculate the highest common divisor of o and 15. 15 Suppose 4*v + 21 = 5*c, -v - 3 = 1. Let u(a) be the first derivative of 2*a**2 - a - 5. Let o be u(2). Calculate the greatest common factor of c and o. 1 Suppose 0 = -11*r - 46 + 112. What is the highest common divisor of r and 750? 6 Let w be 20/(-6)*(-72)/60. Let q(h) = -2*h + 31. Let a be q(14). Suppose -4*y + c - 2*c = -32, 32 = w*y - a*c. What is the highest common factor of y and 8? 8 Let t be (-2)/(-8) + (-155)/(-20). Let n be (-7)/2*t/(-14). Suppose 5 - 19 = -3*x - n*q, 4*x = 3*q + 47. What is the greatest common factor of 56 and x? 8 Let p be (-63422)/(-22) + (-110)/(-605). Calculate the highest common divisor of 31 and p. 31 Suppose 3*t = -5*v + 108, 4*v + t - 86 = -t. Calculate the greatest common factor of 105 and v. 21 Suppose 54*x = -a + 55*x + 139, -a + 2*x = -142. Calculate the greatest common factor of a and 51. 17 Let x(a) = -a**2 - 11*a + 8. Let i be x(-12). Let b = -1 - i. Suppose 6*d - 60 = 2*d. Calculate the highest common divisor of d and b. 3 Let k(i) = 20*i**2 + 28*i + 178. Let w be k(-7). Calculate the greatest common factor of w and 74. 74 Let n(g) = -g**2 - 9*g + 8. Let p be n(-9). Suppose 3*a - 127 = a + 3*i, 3*i = 5*a - 295. Calculate the greatest common factor of a and p. 8 Let f be (-5 + (264/(-10))/(-3))*5. What is the greatest common factor of f and 646? 19 Let l(n) = 2*n**2 - 22*n + 26. Let f be l(12). Calculate the highest common divisor of f and 75. 25 Suppose 154*z - 1709 - 47 = 92. Suppose 0*j = j - 36. What is the highest common factor of j and z? 12 Let y = 121 - 38. Suppose -2*h - 5*o + 22 = 0, 13 = 4*h - 3*o - y. What is the greatest common factor of h and 14? 7 Suppose 0 = -2*j - 4*b - 6, 0*j + 2*j = 2*b + 12. What is the highest common divisor of j and 2? 1 Suppose -117 = -5*b + 4*s, -45 = -2*b + 107*s - 106*s. Let d = 20 + 15. Let z = d - 21. What is the greatest common factor of z and b? 7 Let d(n) = n**2 - n + 4. Let g(t) = -5*t**2 + 3*t - 4. Let w be g(2). Let b = w - -22. Let v be d(b). What is the highest common factor of v and 128? 16 Let n(t) = -t**3 + t**2 - 19. Let l be n(0). Suppose -212 = -5*z + 2*s - 25, 5*z = -2*s + 183. Let j = z + l. What is the greates
{ "pile_set_name": "DM Mathematics" }
-2. -4 Evaluate -11 + 14 - (-1 + -19 - (6 - 7)). 22 What is 47 + -57 - (-35 + 14)? 11 What is -30 + (-3 - 7) + 25 + -6? -21 What is 7 - -17 - (4 + 7 - -4)? 9 Calculate -51 + 9 - -47 - ((1 - -23) + 0). -19 Calculate 18 + 10 + -10 + -17 - (26 + -1). -24 Calculate -11 + (-3 - -7 - (8 - 10)). -5 Calculate -33 - -36 - (-1 - (8 - 4)). 8 What is the value of 28 + -7 + -4 + -6? 11 Calculate 1 + -1 - (-13 + 11 - (1 - -2)). 5 Calculate (-1 - -33) + 0 + 10 + -21 + 4. 25 33 + 33 + -67 - -3 2 Calculate 5 + (10 - (15 + -1 + -1)). 2 Calculate -6 - (-1 + 2 - (-7 - (5 - 8))). -11 Evaluate 2 - (15 - 13 - (0 + 3)). 3 What is 0 + (0 - 1 - (-6 - -1))? 4 What is 7 - (5 + (-8 - (-4 + -1 + 1)))? 6 What is (-2 - (1 - -12)) + -13 - -15? -13 22 + -5 + 0 + -6 + -1 + 0 10 (-7 - -2) + (3 - 9 - 0) -11 (0 - (13 - 5)) + (-2 - -35) 25 What is (-260 - -282) + 1 + -2? 21 -33 - (-2 - -1) - (151 + -160) - -6 -17 Evaluate -1 + 18 - (43 + -36). 10 Evaluate -2 + (5 - (2 + 3)) + -4 + -4. -10 Calculate (82 + -36 - 39) + 18 + 1. 26 10 - 21 - 2 - -7 -6 What is 14 - (-13 - -11) - 13? 3 What is the value of -1 - (10 + -16 - (1 - 14))? -8 What is 1 + -31 - (-110 + 79)? 1 What is the value of (-12 - -20) + (-7 - -12) + -3? 10 Evaluate -2 + 7 - (-1 + -1) - (-20 - -19). 8 Evaluate -31 - (6 + -30) - 5. -12 Calculate -3 + 17 + -26 + 25. 13 What is the value of 0 - 1 - 9 - (234 + -226)? -18 Evaluate 6 + (-2 + 1 - -1) - 18. -12 What is -1 - 9 - (-9 + 10 + -1 - 24)? 14 Evaluate (0 - (-2 - -8)) + -1 + (148 - 135). 6 -6 + (14 + (2 - 7) - -7) 10 Calculate -25 + (48 + -3 - 33). -13 What is the value of -16 - (-13 - 5) - (15 + 0)? -13 What is (6 - (11 - 3)) + (-11 - -4)? -9 What is 46 + -56 - (-4 + -3 + 26)? -29 Evaluate 1 + -1 + 9 + 1 + (30 - 22). 18 What is the value of 1 + (2 - 5) - (5 - 20 - -17)? -4 What is 16 - (-4 + 8) - 48 - (-2 + -1)? -33 Calculate (16 - 24 - -12) + -6 + 0. -2 What is 23 + -8 - ((-1 - -14) + -1)? 3 What is the value of -40 - (-28 - (-20 + 3)) - 0? -29 Evaluate 29 + 0 + 8 + 0 + -15. 22 Evaluate (-8 - -1) + (-10 - (-17 - -3)). -3 (1 + -3 - -15 - 7) + 17 - 5 18 What is the value of 5 + (-23 - -16 - -8)? 6 What is the value of -10 - (30 + -6 - 2 - 14)? -18 What is the value of 19 - (0 - (-10 + 5))? 14 What is 8 + 46 + 0 + -40? 14 297 - 267 - (0 - -25) 5 Evaluate -30 + 18 + -12 + (0 + -2 - 1). -27 What is -2 + -8 + 11 + -16 - 0? -15 Calculate 19 - (-20 - (11 + -30)). 20 5 + -6 - (-65 - -58) 6 Calculate (-35 - -13) + 22 - (1 - -14). -15 Calculate (-2 - -5) + 1 - ((-92 - -20) + 104). -28 What is 1 + (5 - (-4 + 6)) + -7? -3 What is -3 + (19 - 25) - -8? -1 Evaluate -15 - -19 - (-8 - (-11 + 1)). 2 Evaluate 20 - (-26 + (5 - -23)). 18 What is (2 - (-7 + -2)) + (21 - 0 - 20)? 12 -538 - -560 - (-1 + 11) 12 Evaluate -267 + 288 + (-5 - 0). 16 What is 20 - (-14 + (15 - (-12 + 14)))? 21 What is 14 + 13 - 5 - 9? 13 Evaluate 5 + (7 - 2) - (50 + -35). -5 Calculate 0 - -4 - (62 + (-38 - -14)). -34 Evaluate 4 - (1 + -1 - ((-17 - -23) + -4)). 6 Calculate -24 + (12 - 6) + -2. -20 What is the value of 15 + (-97 - -90 - (-3 - 1))? 12 What is 4 - (40 + -21) - -31? 16 What is -1 + 4 + -7 + -5 + 21? 12 What is the value of 17 - (7 - (2 - (-3 - (5 + -7))))? 13 Evaluate 15 + (6 - (4 - -4)) + -2. 11 What is -1 + 1 - ((-4 - -2) + 7 - -4)? -9 0 + (-4 - 0) - 11 - -51 36 What is -27 + -32 + 70 - ((-1 - -3) + -7)? 16 What is 6 - (-3 + 12) - -1 - (6 - 8)? 0 What is -2 - 1 - (8 - (11 - -2))? 2 Calculate (64 - (-55 + 107)) + (1 - 11). 2 What is the value of 11 - 3 - ((2 - (-32 + 3)) + -1)? -22 What is 29 - 21 - (-1 + -3 - -3 - 2)? 11 9 - (10 - (14 + -8)) 5 What is -6 - 6 - (-14 + (6 - 8))? 4 What is 4 + (-10 + 13 - -1) + 3 + 2? 13 Evaluate (-2 - -4 - -2) + (-42 - (-75 - -37)). 0 What is 6 + (-17 - -2 - (9 + -4))? -14 -6 - (17 + -38 + 14) 1 Calculate 13 + (-12 - -7) + -5. 3 Evaluate 13 - (-15 - 7 - -47). -12 Evaluate -138 + 130 + (14 - 1) + 2 + -4. 3 What is the value of 32 - (-2 - (-23 - -14)) - 14? 11 Evaluate (1 - (-1 + -1)) + (-26 - -34). 11 What is (0 - (1 - 0)) + (224 - 225)? -2 Calculate -4 - (-6 - -8) - (2 + (-4 - 7)). 3 What is the value of 3 + -16 - (21 + -24 + -17)? 7 3 - (-10 + 0 - -6) - (15 + -6) -2 What is 1 + -6 + (8 - (6 - -2)) + 2? -3 Evaluate -60 - -23 - -35 - -38. 36 What is the value of (-6 - (5 + -8)) + 8? 5 What is 5 + -37 - ((-22 - -3) + 9)? -22 -26 + 12 + 19 + -22 -17 Evaluate (2 - (7 + 15 + -25)) + (1 - -7). 13 12 + -44 + 12 + 7 -13 What is -3 + 2 + (-56 - -49)? -8 Evaluate (-14 - 5) + 23 - (-1 - -5). 0 Evaluate 27 + (8 - 32) + 22. 25 What is the value of (22 - 0) + -1 - (-21 - (0 - 17))? 25 Evaluate 2 + -13 - (18 + (-54 - -8)). 17 Calculate (22 - (18 + 37)) + (9 - 2). -26 What is 5 - (-39 - -4) - (-32 - -42)? 30 Calculate -10 - (6 + -11 - 14). 9 What is the value of 19 + 0 + (-10 - 1) - (1 - -5)? 2 What is the value of (-6 - (8 + -20 + 5)) + -15? -14 Calculate (1 + -9 - 1) + 6 - 13. -16 What is the value of 2 - -15 - (12 - 4 - -1)? 8 13 - (27 + -15 + 7) -6 What is the value of -2 + (4 - (3 + -7)) + -22 + 10? -6 Evaluate 1 + (13 - (51 + -15)) + 8. -14 Calculate -6 - (2 + 0 + -17 - (49 - 58)). 0 What is the value of -4 + -7 + 10 + -8? -9 What is the value of 0 + (-76 - -84) + -1 + -2? 5 What is the value of (-1 - 1) + 16 + -12 + (-12 - -31)? 21 What is 24 - 30 - (-20 - (5 + 3))? 22 What is -2 + 2 - -7 - (-10 - -15) - -8? 10 What is the value of 35 + -2 + -6 + -6 + 0 + -4? 17 (1 + -3 - 1 - 3) + (13 - 18) -11 Evaluate 4 + (5 - (5 - (2 - 10))). -4 What is (-8 - (-12 + 13)) + -2? -11 Evaluate 17 + (13 - (-4 - -6)) + -1. 27 5 + -5 + -8 - (-2 - 1) -5 -1 - 8 - (-3 - -2) - -2 -6 5 - ((-6 - -25) + -16) 2 Calculate 5 + (-5 - ((0 - 1) + -15 + 17)). -1 4 + -6 + 1 + (14 - -1) + -4 10 Evaluate (-5 - -1) + (30 - 35 - -20) - 1. 10 What is the value of (1 + 0 - 9) + 311 + -292 + -7? 4 Evaluate -2 + 1 + (2 - 13). -12 What is the value of -1 - (19 + (1 - -4) + -14)? -11 Evaluate 34 - ((33 - 18) + 9). 10 Evaluate 20 + -13 + 37 + -38. 6 (1 - 5) + 1 - (-5 + 3 + 2) -3 Evaluate 12 - ((-1 - -4) + (11 - (-2 - -15))). 11 Evaluate -36 - (-16 + -7 + 8). -21 Evaluate -7 + 25 + -29 + 0 + 4. -7 What is the value of 7 - (27 - (-5 + (-12 - -15)))? -22 Calculate -13 + (-9 - -14) + (35 - (-4 - -3)). 28 (5 + -4 + 7 - 3) + (17 - 24) -2 Calculate 4 - (-8 + (0 - 15) + 9). 18 What is the value of (54 - 75) + (0 - (8 - 4))? -25 What is the value of -10 - (-46 - (5 - (14 - -1)))? 26 Calculate (8 - (-20 - -15)) + -18. -5 What is the value of -10 + 4 + -4 + 27? 17 Evaluate -20 - (-19 + 0) - (9 - (-2 - 0)). -12 Evaluate 8 + 0 + -72 + 77. 13 What is the value of 5 + 9 + -23 + -3 + 12? 0 Calculate 8 - (3 - (13 - (-10 + (10 - 9)))). 27 -18 + -2 + 16 - 5 -9 What is the value of -9 + (0 - ((28 - 12) + (-4 - 4)))? -17 What is the value of 32 + -12 - 18 - ((-1 - -2) + 9)? -8 Evaluate -1 - (-6 + (-5 - (4 - 13))). 1 Evaluate (7 - 2) + 36 + (88 - 92). 37 What is (13 - 8) + 4 - (4 - -15)? -10 8 - 3 - (-13 + 37 + 3) -22 4 - (2 + -21 - -34) -11 Evaluate -1 + -1 - (-5 + -16 + 21). -2 What is the value of 0 + -2 + -6 - (-61 - -24 - -43)? -14 What is the value of 19 - (0 + -9 - -20)? 8 What is the value of 4 + (-4 - -4) + -3 + 1 + 2? 4 13 + 10 + (-3 - -1) + -9 12 What is 1 - -13 - (-14 + 50 + -8)? -14 Calculate (0 - 12 - (1 - (6 - 9))) + -9. -25 What is the value of (0 - ((11 - 9) + 2 + -1)) + -7? -10 What is the value of 1019 - 1024 - (1 - 12)? 6 What is the value of 22 + -6 + 1 - (-9 + 16)? 10 Calculate -3 - (3 - 1) - (74 + -79). 0 What is the value of 3 - (11 - (-5 - (-5 - 6))) - -4? 2 -22 + (-7 - (-11 + -5 + -2 - -6)) -17 Calculate 7 + -15 - (-64 + 65). -9 What is (1 - (-2 - -4)) + -6 + -15 + 10? -12 What is the value of 93 + -98 + 2 + 0 + -3? -6 What is the value of (0 - -11) + -20 + 24 + -5 + 23? 33 Evaluate -15 - (1 - (1 - 1)) - (921 - 925). -12 Calculate 10 + 3 + (-3 - -3) + -9. 4 What is 3 + -1 + 10 - -5 - 10? 7 What is the value of -12 - (-26 - -3 - -33)? -22 What is the value of (40 - (15 + -25)) + (-9 - 1) - 7? 33 What is -8 + (-7 - 7) - -10? -12 What is -9 - (-6 + (8 - 14))? 3 -18 + 12 + -5 + -1 + -4 -16 Evaluate 5277 + -5283 + (0 + 5 - 0 - -1). 0 Calculate -1 + 39 + (-22 - -4). 20 Calculate -2 + -26 - (508 + -548). 12 What is the value of -10 - ((-20 - -11) + -2 + 6)? -5 Evaluate (7 - 5) + (9 + -7 - 4). 0 (2 - 5 - 10) + -10 + 10 -13 Wha
{ "pile_set_name": "DM Mathematics" }
e 465 = 5*g - 10*g. Let d = g + 124. Let x = d - 28. What is the highest common divisor of x and 6? 3 Let a = 1 - -3. Let t = -6088 + 6108. What is the greatest common factor of a and t? 4 Suppose -q - 26*v + 75 = -31*v, 4*v = -4*q + 300. What is the greatest common divisor of 2265 and q? 15 Let h(k) = 11*k - 97. Let m be h(9). Suppose m*f - 427 = -37. What is the greatest common factor of 30 and f? 15 Let n(u) = 13*u**2 + 39*u - 233. Let v be n(12). Calculate the highest common factor of v and 441. 49 Let v(l) = l**2 + 2*l + 1. Let q be v(3). Let b be ((-60)/(-7))/(q + (-1540)/98). What is the highest common divisor of 1560 and b? 30 Suppose 2*g - 4*x - 118 = 0, 3*g - 4*x - 206 = -33. Calculate the highest common divisor of 8195 and g. 55 Let r = 1898 - 1643. Calculate the highest common factor of 1173 and r. 51 Let t = -32441 + 35625. What is the highest common divisor of 199 and t? 199 Let u = -40 - -55. Suppose 0 = 21*j - u*j - 24. Suppose 0 = j*z - 7*z + 51. What is the greatest common divisor of z and 51? 17 Let k be (35/(-15) + 2)*-3*117. What is the highest common factor of k and 819? 117 Let m(v) = -6*v**2 + 12*v + 13. Let l be m(-11). Let f = -592 - l. Calculate the greatest common divisor of 23 and f. 23 Let x(n) = n**3 - 10*n**2 + 6*n - 18. Let s = -135 + 145. Let f be x(s). Let a be (f/(-18) - -2)*-30. What is the highest common divisor of a and 90? 10 Let f be (-19924)/(-221) + (-6)/39. Let l be 149/5 + 17/85. Calculate the highest common divisor of f and l. 30 Suppose -3*u = u + 4*v - 60, -3*v - 3 = 0. Let a = 24 - u. Let s(y) = 4*y - 8. Let p be s(a). Calculate the greatest common divisor of 120 and p. 24 Suppose 19*s + 57 + 133 = 0. Let t be (-80)/(-400) - 1118/s. Calculate the highest common divisor of 80 and t. 16 Suppose 124*w = 64137 + 21175. Calculate the greatest common factor of 129 and w. 43 Suppose 168 = 173*d - 181*d. Let q be 6/(-9) + (-1022)/d. Calculate the highest common divisor of q and 18. 6 Let p be (-195700)/(-1030)*19/5. What is the greatest common factor of 931 and p? 19 Let w(o) = -4*o - 64. Let h be w(-5). Let x be h/(-66) - 412/(-3). Calculate the highest common divisor of x and 46. 46 Let b(g) = -121*g**3 - 9*g**2 + 12*g + 12. Let v be b(-6). Let s be (1/((-1)/(-1)))/(29/v). Calculate the highest common factor of 24 and s. 24 Let f be (-74)/(3/(-30) - 8/20). Let d = 168 - f. Calculate the highest common divisor of d and 220. 20 Let l be 0*(-2)/(-4)*(-2)/1. Suppose 2*a + l*u - 20 = -4*u, 4*a = -3*u + 30. Suppose a*t - 48 = 3*t. Calculate the highest common divisor of 80 and t. 16 Suppose 0 = -435*x + 436*x - 2*k - 10, 5*x + 4*k + 6 = 0. Let f = 5 + 0. Suppose 25 = -0*z + f*z. Calculate the greatest common factor of x and z. 1 Suppose 47*v - 46*v = 70. What is the greatest common divisor of 1134 and v? 14 Let m = 23 - -18. Let k = -218575 - -218739. Calculate the highest common factor of k and m. 41 Let h = -9157 - -17628. Calculate the greatest common factor of 197 and h. 197 Suppose -3*u + 12 = -48. Let h = u - -3. Let d = -23 + 69. What is the highest common factor of d and h? 23 Let x(g) = -g**2 - 133*g + 9668. Let t be x(-108). Calculate the highest common factor of 32 and t. 16 Suppose -h = -0*h - 22. Suppose 16*s + 38 - 294 = 0. Let n = s - -6. Calculate the greatest common factor of h and n. 22 Suppose 2*g = -3*g + 10, 2*g = -5*x + 64. Suppose 10836 = 2*i + 127*i. Calculate the highest common factor of x and i. 12 Let o = 8 - 4. Suppose o*k - 30 = -k. Suppose -85370 = 14*m - 85496. Calculate the highest common factor of k and m. 3 Let c = 2332 + -1369. Calculate the greatest common factor of c and 3. 3 Let y be (3 + 801/12)/(122/(-16) + 8). Calculate the highest common factor of 651 and y. 93 Let r = 1 + 25. Suppose 5*u = -5*q - 0*q - 1185, -3*q + 2*u = 721. Let k = 421 + q. Calculate the greatest common factor of r and k. 26 Suppose -644 = -d - 4*z, -6*d = -9*d + z + 1828. What is the greatest common divisor of d and 252? 36 Suppose 3*w - 4*b = 1606, -62*b = -59*b + 12. What is the highest common factor of w and 90? 10 Let y(n) = -2*n - 32. Let q be y(-16). Suppose q = -c + 5, c - 103 = -5*o + 682. What is the greatest common divisor of 24 and o? 12 Suppose -2*p + 4*p = 5*z + 8, 2*z = -2*p + 22. Suppose -5*w - 405 = -20*w. Suppose 0 = -24*v + w*v - p. What is the highest common factor of v and 45? 3 Let g(t) = t**3 + 26*t + 27 - 7*t**2 + 10*t**2 - 17*t**2 - 11*t**2. Let w be g(24). Calculate the greatest common divisor of 15 and w. 15 Let p be 66 + 351/72 + -5 + (-30)/16. Calculate the greatest common divisor of p and 1. 1 Suppose -3*r - 2*r = 4*w - 1348, -5*r + 5*w = -1330. Let k = 292 - r. Calculate the greatest common factor of 108 and k. 12 Let p(q) = 4261*q + 4486. Let s be p(-1). Let i = 326 + -201. Calculate the highest common divisor of s and i. 25 Let l = 179 + -185. Let b(m) = -m**3 - 4*m**2 - 2*m - 14. Let o be b(l). What is the highest common factor of 42 and o? 14 Let m = 361 - -8. Suppose -329 = -5*r - 129. Let k = 1 + r. Calculate the greatest common factor of m and k. 41 Suppose 443*w - 468*w = -1875. Calculate the highest common divisor of 575 and w. 25 Let k be (147 - -5) + 8/4. Let o = 278 - k. Suppose -5*a + 635 = -w + 6*w, -a + o = 2*w. Calculate the greatest common factor of 10 and a. 10 Let m = -80 + 5. Let s = m + 87. Suppose 0 = 4*t - 4, s = 5*x + 2*t - 30. Calculate the greatest common divisor of x and 64. 8 Let z be 4/14*-1 + 4564/196 + 37. What is the greatest common divisor of 7680 and z? 60 Let c be ((-4275)/(-1026))/(2/(-4))*7*-3. Calculate the greatest common factor of c and 203. 7 Let f = 17465 + -17395. What is the highest common factor of f and 19810? 70 Let l = 2248 - 2228. Calculate the greatest common factor of l and 1030. 10 Suppose 49215 = 9*t + 8*t. Let r be (t/60 - -2) + (-2)/8. What is the highest common factor of 475 and r? 25 Let f(d) = -2*d**3 - 30*d**2 - 64*d - 21. Let c be f(-13). Calculate the highest common divisor of c and 80. 5 Suppose -9270 = -9*m + 27*m. Let l = 521 + m. What is the greatest common factor of l and 51? 3 Suppose -1662 = -47*l + 41*l. Suppose 8*c - l = 827. Suppose -33 = -2*m + 2*z + 57, -4*m = 5*z - 189. Calculate the greatest common factor of m and c. 46 Let x = -42 + 53. Let k = x + -18. Let d be 68*((-4)/k + (-10)/(-56)). What is the greatest common factor of 34 and d? 17 Let c be (43/11 - (-52)/(-13)) + (-2775)/(-275). Suppose -2*x - 55 + 195 = 0. What is the highest common factor of x and c? 10 Let x be (7917/(-49))/(2/(-14)). What is the greatest common divisor of 78 and x? 39 Suppose -5*x = -2*x - 27. Suppose -96 = -x*p - 24. Suppose -25 - 87 = -p*n. What is the greatest common factor of n and 21? 7 Suppose 0 = -25*k + 43*k - 252. Calculate the greatest common factor of k and 336. 14 Let l be (1 + 12/8)/(15/36). Suppose 330 + l = 6*u. What is the highest common divisor of 224 and u? 56 Suppose 0 = 5*c - 12 - 63. Let m be c/(0 + 2/6). Calculate the greatest common factor of m and 60. 15 Suppose -151*a + 3851 = 3655 - 25625. Calculate the highest common factor of a and 675. 9 Suppose 0 = -3*i + 287 + 493. Let s be (1/(-1))/(19/(-57)). Suppose 3*z + 4*c - 2*c - i = 0, 3*c = s*z - 285. Calculate the greatest common divisor of 10 and z. 10 Suppose -2*n - 10 = 0, 4*r + 705 - 2104 = -n. Calculate the greatest common divisor of r and 767. 13 Let d be 16 + 508050/435 + 54/(-58) + 1. Let m be -3 + 42 - (2 + 0). Calculate the greatest common factor of d and m. 37 Let c be (14/(-3)*(-12)/(-24))/((-60)/3600). Let n(i) = -27*i + 3 - 5 + 4. Let o be n(-2). What is the greatest common factor of c and o? 28 Let m = -4370 - -4746. Calculate the highest common divisor of m and 282. 94 Suppose -3*p + 12 = 5*o, 3*o + 0*p + 4*p = 16. Suppose 5 = 5*i, -5*x + 4*i + 25 + 51 = o. Calculate the highest common divisor of x and 2. 2 Suppose 4*n = 3*l - 12836, -2*l - 4*n + 8584 = -0*l. Let s be 10/((-6)/(-14) + (-1668)/l). Calculate the highest common divisor of s and 30. 15 Suppose -41*f = -44*f + 10512. Calculate the highest common divisor of 12 and f. 12 Let a(v) = 2*v**2 + 52*v + 298. Let t be a(-7). Calculate the greatest common factor of 1000 and t. 8 Let y = -3866 - -15642. What is the greatest common factor of 23 and y? 23 Let m be 9/(-2
{ "pile_set_name": "DM Mathematics" }
102215? 5 What is the ten thousands digit of 323865? 2 What is the thousands digit of 37067? 7 What is the units digit of 619503? 3 What is the tens digit of 2343683? 8 What is the units digit of 12856507? 7 What is the units digit of 1185191? 1 What is the hundreds digit of 593404? 4 What is the hundred thousands digit of 15324495? 3 What is the hundreds digit of 4260207? 2 What is the ten thousands digit of 3687813? 8 What is the millions digit of 14031950? 4 What is the hundreds digit of 3417514? 5 What is the hundreds digit of 1311204? 2 What is the hundreds digit of 213411? 4 What is the tens digit of 1944703? 0 What is the units digit of 10174472? 2 What is the units digit of 8763384? 4 What is the units digit of 842287? 7 What is the thousands digit of 2156644? 6 What is the hundred thousands digit of 14576806? 5 What is the thousands digit of 310173? 0 What is the tens digit of 570826? 2 What is the units digit of 267454? 4 What is the hundreds digit of 291643? 6 What is the hundred thousands digit of 27626461? 6 What is the tens digit of 3603831? 3 What is the hundred thousands digit of 11220011? 2 What is the hundred thousands digit of 311740? 3 What is the hundred thousands digit of 5546411? 5 What is the hundreds digit of 53811? 8 What is the hundreds digit of 762994? 9 What is the thousands digit of 3904617? 4 What is the thousands digit of 24713? 4 What is the units digit of 148431? 1 What is the thousands digit of 7567882? 7 What is the hundreds digit of 787437? 4 What is the thousands digit of 487693? 7 What is the ten thousands digit of 80314? 8 What is the tens digit of 3111865? 6 What is the hundred thousands digit of 800820? 8 What is the thousands digit of 2438319? 8 What is the ten thousands digit of 408408? 0 What is the thousands digit of 9063078? 3 What is the hundreds digit of 2277097? 0 What is the hundred thousands digit of 200847? 2 What is the thousands digit of 2081827? 1 What is the tens digit of 20301254? 5 What is the hundred thousands digit of 192395? 1 What is the tens digit of 94610? 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6 What is the millions digit of 177
{ "pile_set_name": "DM Mathematics" }
f = 4.7 - -0.3. Let j = -5.5 + f. Put j, -1/4, -0.2 in descending order. -0.2, -1/4, j Let t = -0.95 + 0.95. Sort 33, t, 1 in descending order. 33, 1, t Let p(f) = -f**2 + 14*f + 18. Let j be p(15). Sort 2, j, -5. -5, 2, j Let x = 1.9 + -2. Let q = -6 + 11/2. Sort 1, x, q in decreasing order. 1, x, q Let g = 73 + -72.5. Let w = 3.1 - 3. Put g, w, 1 in descending order. 1, g, w Let b(y) = y**3 + 3*y**2 + 2*y + 3. Let l be b(-2). Suppose -16 = l*q - q. Sort q, 5, 2 in ascending order. q, 2, 5 Suppose 2*z + 0*z - 4*d - 14 = 0, 4*z = 4*d + 12. Put -4, z, 2, 6 in descending order. 6, 2, z, -4 Let n = 2.97 + 0.03. Let v = 2 - n. Let t be 33/(-120) - (-3)/(-24). Put 0.3, t, v in descending order. 0.3, t, v Let a(v) = -v**2 + 12*v + 10. Let l be a(13). Let r(t) = -t**2 + 3*t + 2. Let m be r(4). Let b = 4 + m. Put l, -4, b in increasing order. -4, l, b Let q = 20 - 79/4. Put q, -2/11, -1/2 in decreasing order. q, -2/11, -1/2 Let f = -5.9 + 0.9. Let t be 0/((-4 - -1) + 1). Sort f, 2/3, t in decreasing order. 2/3, t, f Let u = -0.03 - -0.05. Let c = u + -0.02. Let w = 0.9 - 0.6. Put c, w, -5 in decreasing order. w, c, -5 Let h = -7 + 11. Suppose -104 = h*p - 264. Let k be ((-6)/p)/((-4)/(-10)). Sort -4, k, 0.2. -4, k, 0.2 Let c = 2 - 3. Let r = -17 + 13. Let v = -45 + 136/3. Sort v, r, c in decreasing order. v, c, r Suppose 5*y = 4 - 14. Sort 1, 4, y in decreasing order. 4, 1, y Let q(d) = -d**3 - d**2 + 2*d + 1. Let t be q(-2). Sort -2, 0, t in ascending order. -2, 0, t Let m be 130/25 - 1/5. Let g = 1 + -2. Let r = -1 - 4. Put g, r, m in increasing order. r, g, m Let i(p) = -p**2 + 18*p - 41. Let y be i(15). Sort -5, -1, y, 3 in decreasing order. y, 3, -1, -5 Let b be 0*(-2)/6 + 0. Suppose 0 = y - b*y - 21. Let i be ((-9)/14)/((-18)/y). Sort 0.3, 0.5, i. 0.3, 0.5, i Let t(f) = -f**2 + 4*f + 7. Let u be t(5). Let x be (-3)/(u - (-20)/(-16)). Sort -5, 4, x in decreasing order. 4, x, -5 Let f = -11 + 8. Suppose 1 = 4*g - 5*v, v = -2*g - 3*v - 6. Sort f, -4, g. -4, f, g Suppose 5*y = 2*q + 1, 3*y + 0 = -3*q + 9. Let u be 0 + (-1 - 9/(-10)). Let g be 0/3 + (-2)/(-10). Put g, u, q in increasing order. u, g, q Let d = 39.7 - 37.73. Let w = d + 0.03. Let p = -149 - -148. Put -2, p, w in descending order. w, p, -2 Let w(z) = z**3 - 2*z**2 + z + 2. Let x be w(2). Suppose q + b + 2 = -3*q, -2*q = -x*b + 10. Let g be q/(2 + -3)*0. Put g, -2, 5 in descending order. 5, g, -2 Let m be 4 + 36/(-8)*2. Sort m, -3, 2 in decreasing order. 2, -3, m Let a(d) = -d**3 - d**2 + d + 1. Let u be a(0). Let y(h) be the third derivative of -h**4/24 + h**3/2 + 4*h**2. Let m be y(5). Put 5, u, m in descending order. 5, u, m Let u(f) = -14*f + 4. Let c be u(-3). Suppose 5*k = -5*l + 3*k - 35, -2*k = -4*l - c. Let r be 3/(-2)*30/l. Put -5/3, r, -0.4 in descending order. r, -0.4, -5/3 Let h(i) = i**2 + 7*i + 5. Suppose 2*g - 80 = -3*g. Suppose -q = -0*q + 2, 0 = -4*l + 4*q - g. Let b be h(l). Put b, -5, 5 in decreasing order. 5, b, -5 Let c be (18/(-8))/((-27)/(-72)). Let p = -3 - c. Put p, -5, -1 in increasing order. -5, -1, p Let m(x) = -3 - 3 - x + 1 + 3. Let i be m(0). Sort -1, i, 3/4 in descending order. 3/4, -1, i Let z = -164 + 164.3. Let n = 5.4 - 5. Sort -2, n, z in increasing order. -2, z, n Let h = 1/15 - 49/60. Sort 4, -3, h, 2/5. -3, h, 2/5, 4 Let u = -71 + 71.2. Sort u, 2, 0 in decreasing order. 2, u, 0 Suppose -w - 20 = 5*h - h, 0 = 4*h - 3*w + 36. Sort h, 2, -3 in descending order. 2, -3, h Let m = -55 - -59. Let v(n) = -n**2 - n. Let h be v(0). Suppose h = m*t - t - 6. Sort 3, -1, t in decreasing order. 3, t, -1 Let z(o) = -o - 14. Let g be z(-13). Let a be ((-2)/4*0)/g. Let u(t) = t**3 + 5*t**2 + 5*t + 2. Let f be u(-3). Put f, -1, a in decreasing order. f, a, -1 Suppose 6 - 1 = -4*o - 5*p, 2*o + 2*p = 0. Suppose w = 2 + 6. Let f be 16/(-6)*12/w. Put f, o, 0 in descending order. o, 0, f Let h = 0.68 + -0.72. Put h, 1/7, 3 in increasing order. h, 1/7, 3 Suppose -12 = 2*c - 5*c. Put -5, c, -1 in increasing order. -5, -1, c Let s = -3.37 + -0.13. Let l = s - -3. Sort l, 4, -2/7 in increasing order. l, -2/7, 4 Suppose -4*d - 1 - 3 = 2*m, 0 = 2*m - 2*d + 4. Let r = 3 - 0. Put m, r, 0 in increasing order. m, 0, r Let z = 99 + -98. Put -1, 0, 0.06, z in decreasing order. z, 0.06, 0, -1 Let v(o) = 44*o**2 - o - 1. Let i be v(-1). Let q = i - 441/10. Let r = 171.4 - 171. Sort 2, q, r in ascending order. q, r, 2 Let r = 0.24 - 0.2. Let q = -42.5 - -42. Sort r, q, 0.2 in ascending order. q, r, 0.2 Let i = -0.07 + -0.23. Let c = 90 + -95. Sort i, c, 3 in ascending order. c, i, 3 Let y = 2/3 + 1/12. Sort 5/2, y, -0.4, 0.5 in increasing order. -0.4, 0.5, y, 5/2 Let l = -0.4 - 5.6. Let x = l - -5.7. Let k = 859/7 + -123. Put k, x, 2 in decreasing order. 2, k, x Let p = 25 + -18. Let g be (-1)/(-3) - p/3. Put -4, g, 4 in descending order. 4, g, -4 Let b be (-147)/165 + (-1)/(-11). Sort 2/7, b, -4, 1/5 in increasing order. -4, b, 1/5, 2/7 Let v = -0.11 + 1.31. Put v, -3/2, -0.2 in increasing order. -3/2, -0.2, v Let l = -14.507 - -0.007. Let h = l - -15. Sort h, -2/3, 4 in decreasing order. 4, h, -2/3 Let z(a) = -a + 8. Let v be z(3). Let s(d) = d - 8. Let f be s(7). Suppose 2*g = -6, 0 = -5*y + g - 5*g - 32. Put v, y, f in increasing order. y, f, v Let r = 4 + -4. Let z be (-4)/10 + 23/(-5). Let b = 2 - 3. Put r, b, z in descending order. r, b, z Let l be -3 - -1 - 10/(-6). Let u be (1/(-3))/(2/(-4)). Put u, l, -0.2 in increasing order. l, -0.2, u Suppose 9 = h + 2*h. Suppose d - h*d - 10 = 0. Sort d, 3, 2 in ascending order. d, 2, 3 Let u = -1/19 + 45/133. Sort 2, u, 0 in increasing order. 0, u, 2 Let f(l) = -l**3 + 8*l**2 - 4*l - 20. Let s be f(7). Sort 0, s, -3, -1 in descending order. s, 0, -1, -3 Let i be 4 - 8 - (1 - 0). Put -2, i, 0.5 in decreasing order. 0.5, -2, i Let z(c) = c**2 - 17*c + 3. Let f be z(17). Let n be f/(-1 + 2/8). Sort -3, n, -5. -5, n, -3 Let h = 29.91 - 30. Let v = h - -0.19. Sort v, 3, -3 in ascending order. -3, v, 3 Let v(r) = -r + 3. Let c be v(2). Let p = c - -2. Suppose 5*h = -0*h + 10. Put 0, p, h in increasing order. 0, h, p Let c be (0/2)/(1 - 0). Suppose 6*d - 8*d + 10 = c. Sort d, 3/5, 4/5 in ascending order. 3/5, 4/5, d Let o be 3 + (-11)/(33/18). Sort o, 5, 0 in descending order. 5, 0, o Let x = 38 + -30. Put 0, -2, x in ascending order. -2, 0, x Let j = 0.6 - 0.3. Let p = -4.1 + -0.9. Let s = -0.2 - -0.1. Sort s, j, p in decreasing order. j, s, p Let d(v) = v + 6. Let x be d(-4). Sort 0, x, -3 in decreasing order. x, 0, -3 Let v be 2 + (91/(-77) - (-2)/11). Let c = 2 + 1. Sort v, -1, c in descending order. c, v, -1 Suppose -3*a + 9 - 24 = 0. Sort 0.2, a, 6. a, 0.2, 6 Let n be 4/(-5)*(5 + -10). Suppose n + 2 = 3*q. Sort 5, q, -3 in decreasing order. 5, q, -3 Let k(o) = o + 5. Let y be k(-8). Let l = 3 + y. Sort l, -2, -1 in increasing order. -2, -1, l Let r = -4 + 2. Let h be (-6)/66*r/(-1). Sort -0.1, -4, h. -4, h, -0.1 Let m = 1 + -1. Suppose m = -0*q + 2*q - 4. Let b(k) = -k - 1. Let n be b(1). Put -1, q, n in descending order. q, -1, n Let j be (-75)/65 + 1 + 0. Let k = 26 + -25. Sort 0.5, k, j in increasing order. j, 0.5, k Let o = 94440/11 - 7811. Let w be (-4)/10 - 3877/(-5). Let p = o - w. Put -0.3, -2, p in descending order. -0.3, p, -2 Let q = -2.9 - -3. Let i = 65 - 326/5. Let k = 2/15 - i. Sort k, 1, q. q, k, 1 Let t(k) = 2*k**3. Let o be t(-1). Let z be 6 - (0/(-2) - o). Put 0, -2, z in descending order. z, 0, -2 Let d = 37 - 36. Put 5, d, -3 in increasing order. -3, d, 5 Let w = 17 + -16. Suppose -3*c - 3*y - 12 = 0, c + 12 = -2*c - 4*y. Sort c, w, 4 in increasing order. c, w, 4 Let n = -2 - 0. Let q = n - -2.3. Let z = 0.2 - 0.2. Sort -2/5, z, q. -2/5, z, q Let a be (2/5)/(33/(-15)). Let t be (8/42)/(6 - 4). Sort a, t, 4 in decreasing order. 4, t, a Let u = -0.03 + 4.03. Put -1/8, u, 2 in ascending order. -1/8, 2, u Suppose p - 1 = 3. Put p, -4, 5 in descending order. 5, p, -4 Let v(l) be the first derivative of l**4/4 - 4*l**3/3 - 1. Let t be v(4). Let i(w) = -2*w - 9. Let j be i(-6). Put -5, j, t in increasing order. -5, t, j Let t(q) = q - 8. Let z(b) = -b + 8. Let i(l) = 2*t(l) + 3*z(l). Let d be i(8). Sort d, -1, 5. -1, d, 5 Let f be (2/(-20))/((-2)/5). Let m be (2/6)/(-4 - -3). Put 4, f, m in ascending order. m, f, 4 Let
{ "pile_set_name": "DM Mathematics" }
2*f for x. -2 Solve -247*p + 1 = -b - 246*p, 12*b + 19 = 5*p for b. -2 Solve 3009 - 3086 = -5*z - 3*y, 0 = 4*z + 2*y - 62 for z. 16 Solve -258471*l + 258469*l + 2*d + 2 = 0, -5*d - 9 = -7*l for l. 2 Solve -4*v - 664 = 5*v - 4*i, -5*v - i - 133 = -4*i + 232 for v. -76 Solve -7062716*b + 7062719*b + 2*m + 2 = 0, 2 = 4*b - 2*m for b. 0 Solve -5*p + 9*t + 104 = 0, 0 = 5*p + 1993*t - 1994*t - 16 for p. 1 Solve h = -3844*u + 3851*u + 70, -20 = -3*h + 2*u for h. 0 Solve 10 = -3*h + 32*a + 28*a - 56*a, -8*a + 24 = -4*h for h. 2 Solve 20 = 498*h + 499*h - 987*h, -2*x + 138 = 6*h - 7*h for x. 70 Solve 5*s = -3*r + 145, -20*s + 5*r + 54 = 154 for s. 5 Solve 0 = -4*x + 30*n + 88, 2105*x - n = 2102*x + n - 3*n + 250 - 278 for x. -8 Solve -10 = i, -i = -645*a + 673*a - 158 for a. 6 Solve 2*x = i + 67, 205 = 67388*x - 67383*x - 3*i for x. -4 Solve -585 + 617 = r - 3*n, n + 34 = 5*r for r. 5 Solve -4*x - 2*n = -3*n + 5, -2*x + 0*n - 25 = 7*x - 5*n for x. 0 Solve -3*l + 49 = 2*d, 10*l - 7*l - 4*l + 0 + 17 = 0 for d. -1 Solve 51864*j = 51862*j + 3*t, -4*j = 2*t - 16 for j. 3 Solve -5*q + 101 = 21*m - 19*m, 234*m = -q + 721 for q. 19 Solve -502*h - 20 = 14*m + 503*h - 1003*h, 5*m - 5*h = -30 for m. -2 Solve -71*s - 41*s = -106*s - 10*y - 110, -4*s + 4*y = -0*y - 52 for s. 5 Solve 3*z - 52080*c + 60 = -52075*c, -13 = -z - 2*c for z. -5 Solve -3*l = -4*f - 14, 29*l - 18*l = 16*l - f - 12 for l. 2 Solve h = 2*h + 3, 20*a + 3*h = -11*a + 36*a - 29 for a. 4 Solve 4*y + 4*w + 86 = 18, -5*w - 259 = -438*y - 2389 for y. -5 Solve 2*j = -4*v - 20, 0 = -4*v - j - 1787 + 1763 for v. -7 Solve 0 = 109*d - 128*d - 242*d - 5*k - 246, 0 = -2*d + 3*k + 2*k - 17 for d. -1 Solve 22 = 4*i - 3*o + 5, -2*i = 3*i + 4*o + 64 for i. -4 Solve 0 = -5*i + 43*b - 320, -3*b - 183525 + 183477 = 3*i for i. -21 Solve 25 = -5*z, -z + 47 = -9*b + 151 for b. 11 Solve -202099 + 202215 = -3*w + 4*k, 5*k = 25 for w. -32 Solve p + 5*o + 1 - 4 = 9 + 4, 0 = 2*p - 8*o - 14 for p. 11 Solve -w = -17*y - 581, 0 = -2*w + 11 - 11 + 6 for y. -34 Solve 4*x + 5*s + 54114 = 54239, x = -5*s + 110 for x. 5 Solve -12*j + 0*j - 56 = -4*c - 148, -64 = j + 15*j for c. -35 Solve -212950*a - 86 = -9*w - 212948*a, w - 3*a = 4 for w. 10 Solve -50 = -10*s, 4*s - 393 = -3*n - 358 for n. 5 Solve -7741*l + 7846*l - 3*f = -222, -5*l + 3*f - 22 = 0 for l. -2 Solve 2*g - 2*r = -26, 12 = 4*g + 5*r + 82 for g. -15 Solve -3*j - 479*g + 962*g - 481*g = -79, -j = -g - 38 for j. 3 Solve 0 = -5*a - 5*c - 260, 33*a + 4*c - 5*c + 17 = -33 for a. -3 Solve -9 = -5*i + f, -2*i - 378991*f + 378995*f + 18 = 0 for i. 1 Solve 2*u + 0 = -3*h - 1, 18*h + 1816*u + 146 = 1839*u for h. -3 Solve -3*z + 63 = 3*l, -401*l - 86 = -406*l - 4*z for l. 2 Solve -4*z - 2*n + 92 = -14*n + 6*n, 5*n = 5*z - 85 for z. 5 Solve -5*h - 43 = 2*d, -42 = 2*d + 2456*h - 2452*h for d. -19 Solve -301*g - 72 = 3*u - 298*g, -16*u + 2*g - 6 = 0 for u. -3 Solve -4*j + 20 = 3*q - 23, -2*q + 28 = 246*j - 243*j for j. -2 Solve 726 - 854 = x + 2*x - 7*o, 0 = -5*x + o - 32 for x. -3 Solve -4*g = -16, -20*j - 45*g - 272 = -4*j - 49*g for j. -16 Solve 2*c + 87 + 111 = 6*l, 34*c + l - 33 = 0 for c. 0 Solve 79195*w + 5*r - 72 = 79189*w, -2*w + 84 = 5*r for w. -3 Solve 5*y - 7*c + 2*c = -10, 9*c + 1 - 3 = 11*c for y. -3 Solve -39*g + 4*z = -55*g + 20, -3*z - 63 = 18*g - 8*z for g. -1 Solve 4*f - 36 = 0, -j - 2*f - 32 = -23 - 27 for j. 0 Solve -286 = -5*s + w, -42*w + 135*w - 7 = 50*w + 31*w - 19 for s. 57 Solve -4062*v - 4 = -y - 4058*v, 5*y = 4*v + 52 for y. 12 Solve 5*y - 4*x - 608 = -9*x - 1247 + 614, 25 = 5*y - 5*x for y. 0 Solve 65*f - 2*m = 66*f - 15, 24 = 9*m - 39 for f. 1 Solve 1915*i - 1918*i - 15*f = -18*f + 30, 5*f = 5*i - i + 39 for i. -11 Solve -21*k = -2*s - 10966 + 12068, 0 = 4*s - 4*k - 228 for s. 5 Solve q + 64945 = 792*f, 8*f - 12*f + f + 411 = 2*f - q for f. 82 Solve -150 = -27*m - 4*z, -11*z = 3*m - 22*z + 8*z - 27 for m. 6 Solve 2*y + 3 = -5 - 8, 2*o - 61*y = -59*y + 16 for o. 0 Solve 0 = 3*d + 3*p + 39, 7 = -d - 2*p + 5 - 26 for d. 2 Solve 2*x + 4*p = 8, -1884*p + 1901*p - 34 = 11*x for x. 0 Solve -p + 0*z + 72 = -3*z - 0*z, -3*p = 5*z - 146 for p. 57 Solve q - 6*q = 12*v - 18*v + v - 55, 3491 = -4*q - 703*v for q. 6 Solve 2*p - 381 = -15*t - 122, -4*p + 42 = 2*t for p. 2 Solve -s + 35 = 5*d, -153*d + 3*s = -150*d + 51 for d. 3 Solve 10*n - 62 = 142*t - 145*t, n + 3*t - 44 = 0 for n. 2 Solve 97 = 6*d + 9 - 110, -k + 7*d = k + 237 for k. -3 Solve 42927267*s = 42927265*s + 2*n + 14, 2*n - 16 = -4*s for s. 5 Solve -z = -3*k + 1, -8704*k + 8*z - 20 + 0 = -8708*k for k. 1 Solve 0 = 8*w - 0*w + 656, 6*s = -5*s + 20*s - 6*s - w - 85 for s. 1 Solve f + 2 = 0, 0 = -11*s + 7*f - 2344 + 2402 for s. 4 Solve 4*c - 5*p - 135 = 0, 9488*c - 54 = 9491*c + 2*p for c. 0 Solve 4*i + 5*i = -2*i - 0*a + 2*a - 68, -i - 2048*a + 2053*a - 11 = 0 for i. -6 Solve 9*y + 48 + 15 = -4*i, -5*y + 21 = 37090*i - 37094*i for i. -9 Solve 0 = 3*y - 21*o + 51, -o - o - 12 = 6*y + o - 0*o for y. -3 Solve 36 = 4*t + 4*q, 83*t + 90*t + 409 = 169*t + 85*q for t. 4 Solve 4*t - 18 = 8*w - 5*t + 3*t, -3*w + w + 0*t = -t + 3 for w. 0 Solve 3*m - 44422 + 44385 = s, 7*m = -2*s - 9 for m. 5 Solve 3*j - 3*s - 3 = 0, 88*j - 85*j - 24 = 5*s - 15 for j. -2 Solve -1200*z = -s - 1204*z - 11, -2*s + 5*z = 3*s - 45 for s. 5 Solve -z - 6*t = -2*t, 9 = -4*z + z - 5*t + 2 for z. -4 Solve 26035*x + 13 = -d + 26034*x, -d + 4*x = -12 for d. -8 Solve 1511*y + 12 = -4*r + 1506*y, 4*y - 6 = -r - 4 + 6 for r. -8 Solve -2*p - 52 = -4*l, -16*l - 4*l + 40 = -p - 25*l for p. -30 Solve -2*p + 12*p - 22 = 2*f + 13*p - 20, 0 = -p for f. -1 Solve -l = -5*a + 2, -3*l - 38655 = 3*a - 38667 for a. 1 Solve 2*l = -0*b - 4*b + 5*b + 10, 489*b - 490*b = 6 for l. 2 Solve 3*x + 9 - 33 = 3*t, 4*x + 2*x - 192 = 54*t for x. 5 Solve 37*c = -13*w - 25*c + 59*c + 149, c = 2 for w. 11 Solve 6 = t + 6*w - 11, -3*w + 4*w - 1156 = t - 1145 for t. -7 Solve 0 = 430*v - 431*v - 5*c - 42, -2*v - 49 = 3*c for v. -17 Solve -f + x = 4*x - 6*x - x - 48, 46*f = 5*x + 2745 for f. 60 Solve -122 = o - 440*z + 436*z, -598*o + 602*o - 5*z + 147 = 0 for o. 2 Solve 8704 - 9452 = -368*n - 4*f, 5*f = -5*n + 25 for n. 2 Solve 2*a + 2 = 9*i - 5*i - 10, 66*a + 142 = 5*i for a. -2 Solve -2*q - 226*n - 928 = 0, 15796*n = 4*q + 15792*n + 32 for q. -12 Solve -76 - 75 = -6*b + c - 159, -2*b - 6*c = 28 for b. -2 Solve -3*a - 5 = 4*f, -26*a - 4*f - f + 131 = 27*a - 109 for a. 5 Solve -3*y - 14*z = -20*z - 84, 7*y - 2*z = 5*y + 3*z + 70 for y. 0 Solve -12*h - 2 = -2*p, 12*p - 22*p - 34 = -12*p + 6*p - 5*h for p. -11 Solve -3*a - 2 = 2*q + 19, 0 = -22*a + 3*a + 95 for q. -18 Solve -5*t + s = -6488 + 6561, 5*t - 3*s + 79 = 0 for t. -14 Solve -2*p + p - 5 = r, 2*r + 460*p - 902*p = -443*p - 8 for r. -3 Solve -46*d + 58*d - 30 = -21*d - 3*c, 3*d - 4*c - 148 = 0 for d. 4 Solve -n - j + 28 = 0, 15*n + 754 = -2*j - 5*j + 934 for n. -2 Solve -81*a = -3*r - 83*a + 29, -3*a + 53 = -5*r for r. -1 Solve -62*t - 27 = -3*o + 236 + 38, -5*t + o + 367 - 389 = 0 for t. -5 Solve 54*y - 76 = -66*x + 60*x + 56*y, -3*y = 105 for x. 1 Solve -4*d + 27*i - 8 = 687, -4*d + i - 51 = -i + 19 for d. -5 Solve 13*n - 43 - 100 = 0, -26*d + 3*n = -29*d + 48 for d. 5 Solve 5*l = 7*g - 107, 5*g + 190 + 80 = -13*l + 363 for g. 16 Solve 76578*w - 76580*w + t = -2, -t - 14 = 4*w for w. -2 Solve 2*i = -0*i - 4*a + 24, -13563*a + 14198*a - 3169 = 3*i for i. 2 Solve 4*n + 12*f - 150 = 5*f - 8*f + 18, -5*n - 2*f + 143 = 0 for n. 27 Solve -83 = 3*q + 2*g - 52, -5*q - 7*g = -30*g + 78 for q. -11 Solve -l - 2*s - 16 = 4, -l - 45142*s = -45136*s + 16 for l. -22 Solve 3*k + 2787*i + 14 = 2788*i, -8*i - 28 = 4*k for k. -5 Solve 99 = -9*p - 3*j, 2*p - 3*j + 3594 - 3583 = 0 for p. -10 Solve 11*z - 1253*h + 1258*h - 79 = 0, -33 = 5*z - 19*h + 80 for z. 4 Solve -3*v + 2*c + 54 = -6*c - 8 + 5, -2*v + 29 = -5*c - 7 for v. 3 Solve -4*u + c = 21, 45846*u - 45842*u + 5*c = 9 for u. -4 Solve -2*c + 2*c + 4*z - 151 = -155, 4*c + 5*z = -17 for c. -3 Solve 15 = -4*c + 5*c - 4*p, -17*c - 16*c - 79 + 3 = -25*c + 17*p for c. -1 Solve 2*w - 17 = -7*o, 3*o - 3216 = -3207 for w. -2 Solve 4212*z + 57 = 4*b + 4209*z, -2*z = 6 for b. 12 Solve 3*q = 3*b - 30, -3*b + 4167 = 3*q + 4161 for q. -4 Solve -5*i + 160 = 4*b, 25*i - 21798*b = -21802*b + 720
{ "pile_set_name": "DM Mathematics" }
513 = 3*b. List the prime factors of b. 229 Let t = 12 - 2. List the prime factors of t. 2, 5 Let q = 274 - 85. List the prime factors of q. 3, 7 List the prime factors of (-58758)/(-147) + 4/14. 2, 5 Let h(k) = -12*k + 2. Let m be h(-2). Suppose -4*l = g + 2 - 4, 0 = -4*g + 2*l + m. Suppose -g*f = -3*f - 30. List the prime factors of f. 2, 5 Suppose 0*l - l + 92 = 3*f, -76 = -3*f - 5*l. List the prime factors of f. 2 Let y(c) = -c - 6. Let p be y(-11). List the prime factors of p/((-5 - -3)/(-2)). 5 Suppose 0 = -u - 0*u + 2. Suppose u*n = -2*n + s + 5, 2*n - 4*s = 6. What are the prime factors of -2*5/(-2) + n? 2, 3 Suppose 0 = -2*m - 8 + 26. Let i = 2 - 10. What are the prime factors of (m/6)/((-6)/i)? 2 List the prime factors of (-789)/(-3) + (-6)/3. 3, 29 Suppose -209 + 59 = -5*b + 3*s, b = -5*s + 30. List the prime factors of b. 2, 3, 5 Let o = -38 + 31. Let h be 9 - (1 - 0 - 3). Let q = h + o. List the prime factors of q. 2 Suppose 2*y - w = 0, -7 = -y - 2*y - 2*w. Suppose -3*j - y = -4. Let k = 8 - j. What are the prime factors of k? 7 Suppose 0 = b - 2*b - n - 5, 3*n = 3*b - 9. What are the prime factors of 1 + b + (4 - 2)? 2 Let w = 19 - 15. What are the prime factors of w? 2 Suppose k = 3*l - 0*l + 6, -4*k - l = -37. Let s(g) = g**2 - 7*g + 7. What are the prime factors of s(k)? 5 Suppose -p + 3*p + 4*h - 208 = 0, -4*h - 342 = -3*p. List the prime factors of (-6)/(-4)*p/15. 11 Let s be 53 + (1 - (0 + -1)). Let b = -1 + 6. Suppose -3*j + 3*u + 2*u = -41, b*u - s = -5*j. List the prime factors of j. 2, 3 Let d(t) = t + 10. Let u be d(-7). Suppose -3*y + 48 = 3*x, 2*y - u*y + 11 = -4*x. List the prime factors of y. 3, 5 Suppose -5*o + 9*o + 5*n - 904 = 0, -2*o = -3*n - 474. What are the prime factors of o? 3, 7, 11 Let p(w) be the third derivative of -w**4/12 + w**3/3 + 3*w**2. List the prime factors of p(-8). 2, 3 Let r(p) = -p + 3. Let z = 7 + -4. Suppose z*i + i = -12. List the prime factors of r(i). 2, 3 Let a(d) = d**2 + 15*d + 22. What are the prime factors of a(-16)? 2, 19 Suppose 7 = 3*s - 17. List the prime factors of s. 2 Suppose a = 4*a. Suppose 2*k + a*k - 30 = 0. List the prime factors of k. 3, 5 Suppose 5*t - 4*g = 36, t + 6*g + 8 = 3*g. Suppose -t*o - o = -4*x - 14, 0 = o - 5*x + 14. List the prime factors of o. 2, 3 Let i = -8 + -9. Let f = i - -29. List the prime factors of f. 2, 3 Suppose -11*x + 6*x = -160. Suppose -4*h = -20, 30 = -k + 6*k - 2*h. What are the prime factors of ((-6)/k)/((-4)/x)? 2, 3 List the prime factors of (-102 - 2)*(-4 - -5)/(-1). 2, 13 Let m be ((-4)/10)/((-2)/20). Let f be m/(-8) + 37/2. Suppose -24 = -4*z - 2*l, 0*z + 2*l = 2*z - f. What are the prime factors of z? 7 Let v(p) = 4*p**2 - p - 6. List the prime factors of v(4). 2, 3 Suppose -7*j - 110 = -9*j. What are the prime factors of j? 5, 11 Let g be (-3 + 2)/((-2)/(-14)). Let y = 14 + g. List the prime factors of y. 7 Suppose 2*n = 11 - 1. Suppose -3*d = 5*i - 4*d - 30, -25 = -n*i + 2*d. List the prime factors of i. 7 Let t(b) = 2*b - 5. Let q be t(4). Let c(v) = -2 + 4*v**2 + 2*v + 3*v**2 + v**3 - 10*v**2. List the prime factors of c(q). 2 Suppose -5*f = -4*f + 14. Let y = 36 + f. List the prime factors of y. 2, 11 Let x = -108 + 160. Suppose c - x = -7. Suppose -c = -4*h - h. What are the prime factors of h? 3 Let d = 2 - 2. Suppose -b + 4*g - 11 - 9 = 0, 5*b = -3*g - 8. Let f = d - b. List the prime factors of f. 2 Suppose 0 = t - 2*p - 11, 2*p - 4*p - 22 = -2*t. Suppose -d = 3 - t. List the prime factors of d. 2 Suppose -3*v + 64 = 2*i, 0 = -v - 0*v + 4*i - 2. Let p = v + -14. What are the prime factors of p? 2 Suppose 142 = 2*q - 2. List the prime factors of q. 2, 3 Let p be (20/3)/((-14)/(-105)). Suppose -j = 4*j - p. What are the prime factors of j? 2, 5 Let a = -4 - -3. Let b be -3 + a*(0 + -1). What are the prime factors of 2/((-10)/(-4) + b)? 2 Let g = -12 - -17. Suppose -g*k = -h + 17, -2*k = -3*h + k + 15. Suppose -h*r + 5*w = -16, -r = 5*w - w - 8. List the prime factors of r. 2 Let y = -4 - -5. Let t be (-2)/(y - 0) + 2. Suppose 0 = -4*h + 5*g + 5, 0 = -5*h + 4*g - t*g + 13. What are the prime factors of h? 5 Suppose -5*v = -9*v + 12. Let d(t) = 8*t + 7. List the prime factors of d(v). 31 Let z(f) = -f**2 - 17*f - 34. What are the prime factors of z(-14)? 2 Let m(l) = l**3 + 3*l**2 + 3*l + 3. Let x be m(-3). Let u = 12 + x. What are the prime factors of u? 2, 3 Let m(p) = 4*p**2 - 3*p - 4. List the prime factors of m(-3). 41 Let a(f) = f**3 + 4*f**2 - f - 2. Let q be a(-4). Suppose -q = g - 4*d + 11, -2*d = g + 13. Let s = -9 - g. List the prime factors of s. 2 Let y be (7 + -1)*3/6. Suppose 17 = -y*j + 62. What are the prime factors of j? 3, 5 Suppose c + c = 22. Let q(r) = r + 2. Let h be q(-8). Let s = c + h. List the prime factors of s. 5 Suppose 0*c - 4 = -4*c. Let d(x) = -x**3 - x**2 + x - 1. Let l(r) = 2*r**3 + 6*r**2 - 8*r - 3. Let m(z) = c*d(z) + l(z). List the prime factors of m(-6). 2 Let i(j) = j + 3. Let p(t) = -t - 2. Let l(v) = 2*i(v) + 3*p(v). What are the prime factors of l(-7)? 7 Suppose -6 = -3*r + 3. Suppose 5*s = r*s + 40. List the prime factors of s. 2, 5 Suppose 0*x - 1285 = -5*x. What are the prime factors of x? 257 Suppose -10 = -3*u - 1. What are the prime factors of u/(-3)*1 + 17? 2 Let q = -4 + 1. Let c be 1/q + 125/15. Suppose -b + y + 2 = 0, -4*b + 0*y = 3*y - c. What are the prime factors of b? 2 Suppose -2*w + 165 = 3*w. Let i be (-3)/(w/(-24) - -1). Suppose -i = -5*x + 12. What are the prime factors of x? 2 Let a(m) = 3*m - 5*m + 0*m + 0*m. List the prime factors of a(-2). 2 Let t(m) = m**2 + 7*m - 4. List the prime factors of t(-11). 2, 5 Let p(o) = 3*o - 9. Let g be (-8)/((-2)/(-4)*-2). Let s be p(g). Suppose -s = 3*u - 48. What are the prime factors of u? 11 Suppose 3*q + 364 = -n, -3*q - 243 = -q + n. List the prime factors of 22/q - (-354)/11. 2 Suppose z = 4*z - 129. List the prime factors of z. 43 What are the prime factors of (-3)/((-6)/104) + (9 - 7)? 2, 3 Suppose -7 = -o - 2*n + 8, 2*n = 5*o - 15. Suppose 5*y = x - 11 + 69, o*x - 70 = -5*y. What are the prime factors of y? 2, 3 Suppose -4*i + 23 = -25. Suppose n - 49 = -3*k, 3*k - 228 - 29 = -5*n. Suppose n = 3*x - 4*y, 4*x + 3*y - i = 2*x. What are the prime factors of x? 2, 3 Suppose -3*u + 0*u + 68 = 2*v, -87 = -3*v + 3*u. Let n = 51 - v. What are the prime factors of n? 2, 5 Let i(y) = -y**2 - 4*y - 3. Let a be i(-2). Let o be -1*4/a + 2. Let v = o - -4. What are the prime factors of v? 2 What are the prime factors of (-3765)/(-35) + (-10)/(-7) + -1? 2, 3 Let o be 3*(2 - 1)*1. Let i = o + 0. Suppose -6 = -d + 3*s, i*d + 8*s = 3*s + 32. List the prime factors of d. 3 List the prime factors of (-11)/(-1) + (-2 - 2/1). 7 Let o be 1/5 - 6/5. Let d be (1*(1 + -3))/(-1). What are the prime factors of 10/d - o/(-1)? 2 Suppose 1 = 5*x - 9. Suppose -52 = -2*l + 4*m, -l - 5*m = -x*l + 17. List the prime factors of l. 2 Suppose 5*m + 3*h + 317 = 0, -3*h = 4*m - 15 + 271. Let y = -100 - m. Let t = y - -56. What are the prime factors of t? 17 What are the prime factors of 2/(-2) + 18 + 4? 3, 7 Suppose 9 = 4*w + 1. Suppose 3*l - w*l = 0. Suppose v - 3*c + 3 = l, -5*v = 2*c + 3*c - 65. List the prime factors of v. 3 Suppose 1 = 3*u - 206. List the prime factors of u. 3, 23 Let t be -2 + 171*6/9. Suppose -4*j - 43 = -2*k + 3, 4*k - 3*j = t. List the prime factors of k. 31 Suppose 11*h - 8*h + 12 = 0. Let s(p) = -3*p + 6. List the prime factors of s(h). 2, 3 Let y(z) = 2*z**2 + 5*z - 24. What are the prime factors of y(7)? 109 Let p = -1 - -3. Suppose -2*c - 4*a = p*c - 32, -5 = 5*a. What are the prime factors of c? 3 Let v = -3 + 7. Suppose 8 = 2*r - 0*r + 4*w, -4*r = 4*w - v. What are the prime factors of 8/((-1)/(r/4))? 2 Let d(c) be the third derivative of -c**4/4 - 5*c**3/6 - c**2. List the prime factors of d(-4). 19 Let l = 8 - 14. Let o = l + 4. List the prime factors of (24/20)/(o/(-5)). 3 Suppose 41*q - 39*q = 290. List the prime factors of q. 5, 29 Let j(y) = -y**2 - 4*y + 5. Let r be j(-5). Suppose 0 = 3*t + 4*s + 3 - 1, r = -2*t + s + 6. Suppose t*u - 3 = 15. What are the prime factors of u? 3 Let c = 60 - 36. Suppose -l + c = l. List the prime factors of l. 2, 3 Let o = -15 - -11. Let k = 8 + o. What are the prime factors of 141
{ "pile_set_name": "DM Mathematics" }
is prob of sequence cv? 1/28 Three letters picked without replacement from uqoubvs. What is prob of sequence bso? 1/210 Four letters picked without replacement from ddddddjdjjddjddj. Give prob of sequence djjj. 11/728 Four letters picked without replacement from {w: 8, u: 2, f: 3, o: 7}. Give prob of sequence oufu. 7/19380 Calculate prob of sequence lll when three letters picked without replacement from {b: 7, l: 9}. 3/20 Four letters picked without replacement from {b: 1, f: 19}. What is prob of sequence ffbf? 1/20 Three letters picked without replacement from ncqn. What is prob of sequence qcn? 1/12 Calculate prob of sequence nn when two letters picked without replacement from orfncooonnno. 1/11 Two letters picked without replacement from tootttoottttttot. Give prob of sequence tt. 11/24 Calculate prob of sequence wb when two letters picked without replacement from dbowobbdwddbotdbwb. 1/17 Calculate prob of sequence sp when two letters picked without replacement from {s: 7, p: 2}. 7/36 What is prob of sequence vo when two letters picked without replacement from {m: 1, d: 4, o: 2, v: 4}? 4/55 Three letters picked without replacement from uuiu. Give prob of sequence uiu. 1/4 Calculate prob of sequence fcc when three letters picked without replacement from fccjfjcjcwfwwcjfjjw. 40/2907 What is prob of sequence lg when two letters picked without replacement from {l: 2, j: 1, g: 3, a: 1}? 1/7 What is prob of sequence io when two letters picked without replacement from iioi? 1/4 Three letters picked without replacement from {t: 1, p: 3, a: 1, m: 5}. Give prob of sequence atp. 1/240 Four letters picked without replacement from aulvffuil. Give prob of sequence vfif. 1/1512 Four letters picked without replacement from {w: 7, e: 7}. What is prob of sequence eeew? 35/572 Two letters picked without replacement from yvuyeuyehed. What is prob of sequence vd? 1/110 What is prob of sequence fqs when three letters picked without replacement from qfqfffss? 1/21 Calculate prob of sequence zi when two letters picked without replacement from {z: 3, i: 5}. 15/56 Three letters picked without replacement from whfhhwwwhhwwwwkw. Give prob of sequence wfh. 3/224 Calculate prob of sequence pc when two letters picked without replacement from {c: 3, p: 9}. 9/44 Three letters picked without replacement from {w: 2, f: 1, j: 3, o: 8, c: 5}. Give prob of sequence wfc. 5/2907 Three letters picked without replacement from bmmmbmmb. Give prob of sequence mmm. 5/28 Four letters picked without replacement from {v: 5, w: 2, z: 1, r: 1}. Give prob of sequence zrvw. 5/1512 What is prob of sequence nn when two letters picked without replacement from {e: 3, n: 3}? 1/5 Calculate prob of sequence llll when four letters picked without replacement from llllllllll. 1 Two letters picked without replacement from jjjjzjzjj. What is prob of sequence jj? 7/12 Calculate prob of sequence yhyy when four letters picked without replacement from mfmydhmfffm. 0 What is prob of sequence bz when two letters picked without replacement from {z: 2, i: 10, b: 2}? 2/91 What is prob of sequence suus when four letters picked without replacement from {u: 5, s: 15}? 35/969 Three letters picked without replacement from {t: 1, g: 1, z: 1, i: 1, v: 1}. Give prob of sequence viv. 0 What is prob of sequence uuuu when four letters picked without replacement from uutuuuuuuuuuuuttuttu? 91/323 Three letters picked without replacement from qdddhdh. What is prob of sequence qhh? 1/105 Calculate prob of sequence iiii when four letters picked without replacement from iiiiiii. 1 Calculate prob of sequence ngq when three letters picked without replacement from nnnnnngnq. 1/72 Calculate prob of sequence qwaw when four letters picked without replacement from qqaqqaqqqaqqwwqwwq. 11/2040 Four letters picked without replacement from inppnppninppp. What is prob of sequence pnpp? 7/143 Two letters picked without replacement from iaiiaaaaatutti. What is prob of sequence ut? 3/182 Four letters picked without replacement from {d: 2, h: 15, u: 3}. Give prob of sequence hhdu. 7/646 Two letters picked without replacement from {r: 1, y: 3, m: 4, o: 3, c: 2, b: 3}. What is prob of sequence ym? 1/20 Calculate prob of sequence hlmm when four letters picked without replacement from ehlflmlffhlmffffmfl. 5/7752 What is prob of sequence vw when two letters picked without replacement from {p: 1, f: 1, n: 1, r: 1, v: 1, w: 2}? 1/21 Three letters picked without replacement from {r: 2, l: 1, e: 4, g: 3}. Give prob of sequence egr. 1/30 Two letters picked without replacement from {y: 4, v: 2, i: 3, z: 3, h: 1, g: 4}. What is prob of sequence yv? 1/34 Three letters picked without replacement from tutxecu. Give prob of sequence utc. 2/105 What is prob of sequence xxx when three letters picked without replacement from xxxxx? 1 Calculate prob of sequence wuq when three letters picked without replacement from gcqewuw. 1/105 Two letters picked without replacement from mgssmsmmmmgmss. What is prob of sequence sg? 5/91 Four letters picked without replacement from {i: 7, b: 9}. Give prob of sequence biib. 9/130 What is prob of sequence kb when two letters picked without replacement from {b: 3, k: 17}? 51/380 Calculate prob of sequence jsj when three letters picked without replacement from {s: 3, j: 3}. 3/20 What is prob of sequence oww when three letters picked without replacement from {a: 2, o: 3, f: 3, w: 7}? 3/65 What is prob of sequence tqu when three letters picked without replacement from {u: 2, t: 1, q: 1, i: 2, s: 1, h: 2}? 1/252 Calculate prob of sequence fbf when three letters picked without replacement from fbff. 1/4 Two letters picked without replacement from {r: 1, y: 2, q: 1}. What is prob of sequence yq? 1/6 What is prob of sequence jv when two letters picked without replacement from hjwswwssggsgvhv? 1/105 What is prob of sequence ldl when three letters picked without replacement from ldlldll? 4/21 Calculate prob of sequence roq when three letters picked without replacement from {q: 1, r: 2, t: 4, i: 1, o: 1}. 1/252 What is prob of sequence baa when three letters picked without replacement from {c: 2, b: 2, a: 6, j: 2}? 1/22 Three letters picked without replacement from aaagaaagqqea. What is prob of sequence aea? 7/220 Three letters picked without replacement from uouuuuuuouuuouuuou. What is prob of sequence ouu? 91/612 Calculate prob of sequence nx when two letters picked without replacement from {n: 7, x: 1}. 1/8 Four letters picked without replacement from oaaoaoo. Give prob of sequence aooo. 3/35 Three letters picked without replacement from llllllllllllxll. Give prob of sequence xll. 1/15 Calculate prob of sequence jowb when four letters picked without replacement from ofjwb. 1/120 What is prob of sequence aa when two letters picked without replacement from {s: 3, f: 3, a: 2}? 1/28 Calculate prob of sequence ucm when three letters picked without replacement from uemewemeec. 1/360 Calculate prob of sequence rgrr when four letters picked without replacement from rrgrrrgrr. 5/36 Calculate prob of sequence si when two letters picked without replacement from iiiiisvsissssssissis. 22/95 What is prob of sequence kiir when four letters picked without replacement from krrirpipirxrikik? 5/728 What is prob of sequence fxab when four letters picked without replacement from xbnxaflfxbb? 1/440 Two letters picked without replacement from mymymvmmy. Give prob of sequence mm. 5/18 What is prob of sequence ebb when three letters picked without replacement from bebbbebbbb? 7/45 Calculate prob of sequence ssgg when four letters picked without replacement from {v: 4, e: 1, s: 2, g: 2, m: 2, i: 1}. 1/2970 Calculate prob of sequence eeee when four letters picked without replacement from {e: 9}. 1 Calculate prob of sequence sd when two letters picked without replacement from psdrr. 1/20 Calculate prob of sequence ff when two letters picked without replacement from {f: 3, c: 3, v: 1, y: 1, k: 5, q: 4}. 3/136 Calculate prob of sequence jqx when three letters picked without replacement from {q: 1, j: 2, x: 4, f: 3, p: 7}. 1/510 Calculate prob of sequence pp when two letters picked without replacement from {h: 3, i: 2, p: 3, f: 8}. 1/40 Two letters picked without
{ "pile_set_name": "DM Mathematics" }
ed without replacement from {x: 4, o: 1, a: 2, j: 1, t: 1}. 1/252 Four letters picked without replacement from {q: 4, y: 2, m: 5}. What is prob of sequence myqm? 2/99 What is prob of sequence ltd when three letters picked without replacement from dtdldltdl? 1/21 Three letters picked without replacement from xxxxxxaxxxxxaxxxxx. Give prob of sequence xxx. 35/51 Three letters picked without replacement from {w: 10}. What is prob of sequence www? 1 What is prob of sequence trf when three letters picked without replacement from {o: 2, t: 2, r: 2, j: 1, g: 1, f: 1}? 1/126 Calculate prob of sequence rf when two letters picked without replacement from fortofx. 1/21 What is prob of sequence mw when two letters picked without replacement from {w: 1, x: 2, m: 1, v: 9}? 1/156 What is prob of sequence ysc when three letters picked without replacement from msmscycsssqm? 1/132 Four letters picked without replacement from wlslssslslslwsllssss. What is prob of sequence slss? 77/1292 Two letters picked without replacement from {w: 2, z: 1, g: 7, m: 4}. Give prob of sequence ww. 1/91 Three letters picked without replacement from {r: 5, q: 2, y: 4}. What is prob of sequence ryq? 4/99 Two letters picked without replacement from {n: 3, z: 5, e: 2, i: 5}. Give prob of sequence ii. 2/21 Calculate prob of sequence hw when two letters picked without replacement from hhhwwhhhhwhh. 9/44 Four letters picked without replacement from cccccc. What is prob of sequence cccc? 1 Two letters picked without replacement from {n: 3, v: 2, c: 1, u: 1}. Give prob of sequence cu. 1/42 Three letters picked without replacement from fppffffsfpfpppf. Give prob of sequence fps. 8/455 What is prob of sequence jjjn when four letters picked without replacement from {j: 7, v: 2, n: 7}? 7/208 Three letters picked without replacement from vmvmmmvmvm. What is prob of sequence mmm? 1/6 What is prob of sequence cj when two letters picked without replacement from {m: 8, j: 8, c: 4}? 8/95 Four letters picked without replacement from {p: 1, w: 2, d: 2, a: 2, t: 1, i: 1}. What is prob of sequence pwid? 1/756 Two letters picked without replacement from {g: 9, h: 3}. Give prob of sequence hg. 9/44 What is prob of sequence llq when three letters picked without replacement from cqllltql? 1/14 Calculate prob of sequence zq when two letters picked without replacement from {b: 1, z: 1, n: 4, q: 2}. 1/28 What is prob of sequence ddv when three letters picked without replacement from dddvdvddddddd? 5/39 What is prob of sequence ks when two letters picked without replacement from {a: 2, m: 1, p: 1, k: 1, u: 1, s: 1}? 1/42 Four letters picked without replacement from vejreevnevvevnvren. What is prob of sequence vjer? 1/1020 What is prob of sequence etl when three letters picked without replacement from ohaaotoaeeleelell? 1/204 Four letters picked without replacement from khhkhhhkllkllklhkp. What is prob of sequence llpk? 1/612 Two letters picked without replacement from uauzuazz. Give prob of sequence aa. 1/28 What is prob of sequence lc when two letters picked without replacement from ccl? 1/3 What is prob of sequence zke when three letters picked without replacement from {l: 2, c: 3, h: 5, e: 1, k: 5, z: 4}? 1/342 Three letters picked without replacement from {x: 2, v: 4, q: 2}. Give prob of sequence xvx. 1/42 What is prob of sequence dddd when four letters picked without replacement from dddddd? 1 Two letters picked without replacement from ydddydzyby. What is prob of sequence dz? 2/45 What is prob of sequence pdd when three letters picked without replacement from pgxqddn? 1/105 Calculate prob of sequence ffuf when four letters picked without replacement from uffffffuffufuffffu. 143/1224 Calculate prob of sequence ge when two letters picked without replacement from eelelellgeeeekeellls. 1/38 Four letters picked without replacement from auaauuuuauuuuuuaau. What is prob of sequence uaaa? 1/51 Four letters picked without replacement from {d: 1, v: 1, x: 6, p: 3, s: 1, w: 1}. Give prob of sequence spxx. 3/572 Three letters picked without replacement from {t: 1, s: 2, b: 7, z: 2}. What is prob of sequence zbb? 7/110 Two letters picked without replacement from {r: 3, f: 15}. Give prob of sequence ff. 35/51 What is prob of sequence uv when two letters picked without replacement from {v: 2, u: 2, j: 2}? 2/15 Three letters picked without replacement from kzaakzzk. What is prob of sequence akz? 3/56 Three letters picked without replacement from cqqncqqcnbbvccbcccn. What is prob of sequence ncc? 28/969 Calculate prob of sequence sss when three letters picked without replacement from {d: 2, s: 3}. 1/10 Three letters picked without replacement from wxdtxbbw. Give prob of sequence wbd. 1/84 Three letters picked without replacement from ccycccyycccyccyc. What is prob of sequence yyc? 11/168 Three letters picked without replacement from ptgeaadeead. What is prob of sequence dea? 1/55 Four letters picked without replacement from tisddsuidtstdstdsi. What is prob of sequence tdud? 1/918 Calculate prob of sequence gg when two letters picked without replacement from {x: 7, g: 2}. 1/36 Four letters picked without replacement from zzzzz. What is prob of sequence zzzz? 1 Two letters picked without replacement from hhsshshhhhshhhhshhhh. Give prob of sequence ss. 1/19 What is prob of sequence jjjp when four letters picked without replacement from pjggjpjjjjggjgg? 1/78 Three letters picked without replacement from {x: 3, j: 1, y: 1, e: 5, f: 2}. What is prob of sequence jef? 1/132 Four letters picked without replacement from {s: 5, d: 15}. Give prob of sequence sddd. 455/3876 Calculate prob of sequence pa when two letters picked without replacement from {k: 2, a: 3, p: 1, m: 1}. 1/14 Three letters picked without replacement from tjtzdzdjttii. What is prob of sequence jtj? 1/165 Calculate prob of sequence mk when two letters picked without replacement from {m: 1, e: 1, k: 1, n: 4, x: 2}. 1/72 What is prob of sequence xzoo when four letters picked without replacement from {o: 4, x: 4, z: 3}? 1/55 Four letters picked without replacement from {p: 2, a: 6}. What is prob of sequence aapp? 1/28 Three letters picked without replacement from zobddqd. What is prob of sequence odz? 1/70 Calculate prob of sequence mm when two letters picked without replacement from {m: 4, z: 1, e: 8}. 1/13 Calculate prob of sequence aaao when four letters picked without replacement from {a: 10, o: 2}. 4/33 Calculate prob of sequence ww when two letters picked without replacement from {f: 8, w: 3}. 3/55 What is prob of sequence mmm when three letters picked without replacement from {q: 5, m: 5}? 1/12 Four letters picked without replacement from {u: 4, s: 10}. What is prob of sequence ssss? 30/143 Three letters picked without replacement from {k: 9, i: 2, p: 2, t: 3}. Give prob of sequence tpk. 9/560 Two letters picked without replacement from xtxxsttsstxtsstt. What is prob of sequence sx? 1/12 Two letters picked without replacement from dfnfddfowdddo. Give prob of sequence nw. 1/156 Four letters picked without replacement from {s: 1, u: 4, k: 2}. What is prob of sequence kkus? 1/105 Four letters picked without replacement from fnpkk. Give prob of sequence knnk. 0 Calculate prob of sequence aeae when four letters picked without replacement from eaeaaaaaaeaa. 2/55 What is prob of sequence am when two letters picked without replacement from {t: 1, a: 5, x: 5, m: 2, r: 3}? 1/24 Three letters picked without replacement from xxxpkxkdxdkdl. Give prob of sequence kdl. 3/572 Two letters picked without replacement from {o: 12, m: 6}. What is prob of sequence mo? 4/17 Two letters picked without replacement from {r: 3, y: 9}. Give prob of sequence yr. 9/44 Two letters picked without replacement from avqdpspsd. Give prob of sequence sq. 1/36 Calculate prob of sequence om when two letters picked without replacement from miovmvvvv. 1/36 Calculate prob of sequence rlrz when four letters picked without replacement from rlwzwlrlwlwrrz. 4/1001 Two letters picked without replacement from slekc. What is prob of sequence ck? 1/20 What is prob of sequence zzss when four letters picked without replacement from ssssszzszzs? 7/110 Three letters picked without replacement from {f: 4, y: 4
{ "pile_set_name": "DM Mathematics" }
divisor of 7 and h? 1 Let y(s) = -87*s**2 + 7*s - 6. Let a(d) = -173*d**2 + 15*d - 13. Let x(v) = 4*a(v) - 9*y(v). Let j be x(1). Calculate the greatest common divisor of j and 36. 18 Let j be 15*2/7*-7. Let s = -10 - j. Calculate the greatest common divisor of 8 and s. 4 Let r = 0 + 3. Let k(j) = 0*j + 4*j + 0 + r. Let b be k(3). What is the greatest common divisor of b and 45? 15 Suppose -462 = -r - 2*r. Suppose 0*s + r = s. Calculate the greatest common divisor of 14 and s. 14 Let m = -21 - -29. Let q be 12/16 - (-546)/m. Calculate the greatest common factor of q and 23. 23 Let d = 25 + -20. Suppose 144 = 4*y + g + g, 132 = 4*y - 4*g. Calculate the highest common divisor of y and d. 5 Let g be (-4)/(-10) + (-3)/(-5). Calculate the greatest common factor of 9 and g. 1 Let w = 52 + -29. Calculate the greatest common factor of w and 253. 23 Let q be (-3)/1*(12 - 5). Let z = q + 39. Calculate the greatest common divisor of 6 and z. 6 Let y(c) = c**3 - 11*c**2 - 12*c + 8. Let d be y(12). Suppose g - 21 = o - 3, 4 = -2*o. What is the greatest common factor of g and d? 8 Let a be -2*(-3)/2 - 0. Let u be (-1)/((-10)/4 - -2). Suppose 0 = a*t + u*t - 60. Calculate the highest common factor of t and 48. 12 Suppose 0 = 5*x - 5*a - 35, 3*a + 16 = 3*x - a. Let r(q) = -q**2 - q + 24. Let d be r(0). Calculate the greatest common factor of d and x. 12 Let s be 6/(-9)*(-450)/2. Suppose -s = -q - 2*q. Calculate the highest common divisor of q and 10. 10 Let i be -4 + 1 + (13 - 5). Suppose 0 = -i*c - y + 153 - 59, -5*c + 2*y + 82 = 0. What is the highest common factor of c and 6? 6 Let l = -24 - -51. What is the greatest common divisor of 81 and l? 27 Let t(g) = 5*g. Let j be t(4). Suppose -2*o + 37 = -5*i, 5*o - 2*i + 5*i - 15 = 0. Let n be (-3)/o - (-61)/2. What is the greatest common factor of j and n? 10 Suppose 3*g = -4*y + 269, -2*g + 3*y + 182 = 5*y. Let f(o) = -3*o**3 - 3*o**2 - 3*o + 1. Let r be f(-2). Calculate the highest common factor of r and g. 19 Let q be (2 + -3)*10/(-2). What is the highest common factor of 5 and q? 5 Let m(o) = o**2 - 3*o + 2. Let k be m(2). Let y = -29 - -19. Let d = k - y. What is the highest common divisor of 10 and d? 10 Suppose 0 = 2*v + 3 + 7. Let z(x) = -2*x + 2. Let m be z(v). Let l(f) = -f - 13. Let y be l(-37). Calculate the greatest common factor of m and y. 12 Suppose -21 - 39 = -b. Calculate the highest common factor of 150 and b. 30 Suppose r = -2*b - 0*r + 49, -4*b - 3*r + 97 = 0. Suppose -30 = -3*c - 5*z, c - 10 = -0*z - z. What is the greatest common divisor of c and b? 5 Suppose -2*o - o - 3 = 0. Let c be 4 + o - (2 + -1). Suppose -42 = -5*p - q, c*p + 4*q + 0 = 6. Calculate the highest common divisor of p and 81. 9 Suppose 3*f = 4*f - 9. Suppose o - 2 = f. Let p = -13 - -24. Calculate the greatest common divisor of p and o. 11 Let g(j) = j**2 + 16*j + 34. Let r be g(-14). What is the greatest common divisor of 3 and r? 3 Suppose -47*d = -48*d + 275. Calculate the highest common factor of 25 and d. 25 Let t be (-89)/(-7) - 8/(-28). Let y be (3 - -153)*(-4)/(-6). Calculate the highest common divisor of y and t. 13 Let f = -70 - -96. Suppose -h = 14 - 79. Calculate the highest common factor of h and f. 13 Let f be (2/4)/(2/76). What is the greatest common factor of f and 171? 19 Let h be 285/2*(11/3 + -3). What is the highest common factor of 19 and h? 19 Let n(w) = w - 1. Let g(f) = f - 10. Let d(y) = -g(y) + 2*n(y). Let k be d(-6). Suppose -11*z + 7*z + 64 = 0. What is the highest common factor of z and k? 2 Let c(l) = l - 10. Suppose 5*i - 79 = p, 15 + 44 = 4*i - 5*p. Let w be c(i). Calculate the highest common divisor of w and 6. 6 Let n be 24/3 - (4 + -5). Calculate the greatest common factor of 6 and n. 3 Let s be (-1)/7 + (-16)/(-14). Calculate the greatest common factor of 1 and s. 1 Let p be 52/6 + (-2)/3. Let b = 99 + -91. What is the greatest common factor of b and p? 8 Suppose 3*k - 2 - 19 = 0. Let p be (-30)/4*(-4)/6. Let b be (33 - p) + (0 - 0). What is the greatest common factor of k and b? 7 Let v be ((-351)/(-26))/(1/4). What is the greatest common divisor of v and 6? 6 Let u be (-10*2)/(0 + -1). Let y = 9 + -4. What is the highest common factor of u and y? 5 Let h be 8/3 + 8/6. Let d(s) = s**3 - 4*s**2 + 2*s + 5. Let t be d(h). Calculate the greatest common divisor of t and 143. 13 Suppose -28 = 4*n - 6*n. Calculate the greatest common factor of 2 and n. 2 Suppose 5*o - 111 = 2*l, 0 = -3*o + 3*l + l + 61. What is the highest common factor of 253 and o? 23 Let l(g) = 4*g**2 + g. Let z be l(2). What is the greatest common factor of 180 and z? 18 Let m = 44 + -7. Suppose 3*r - 5*c + 3*c - m = 0, 17 = 3*r + 2*c. Calculate the greatest common divisor of 1 and r. 1 Let h be 62/3 + 14/(-21). What is the highest common divisor of h and 8? 4 Let f be 4 + 1/(3/333). Calculate the highest common divisor of f and 23. 23 Let w(f) = -f**3 - 2*f**2 + 4*f + 3. Let z be w(-3). Suppose z*t = -j + t + 36, 3*t = -j + 48. Calculate the highest common divisor of j and 13. 13 Let h be 3*(2 - (-6)/(-9)). Let v(m) = 2*m**2 - 6*m. Let w be v(h). What is the highest common factor of w and 24? 8 Suppose 2 - 11 = -x - 3*a, -2*a + 6 = 5*x. Suppose x*i + 462 = 3*i. Calculate the highest common divisor of i and 22. 22 Suppose 0 = 2*u + 4*h - 136, -u + 288 = 4*u - 3*h. Let w = 2 + 66. Suppose 0*p - i + 26 = p, w = 3*p - 2*i. What is the greatest common divisor of u and p? 12 Let c(h) = 2*h**2 - h - 1. Let w be c(-5). Let o be 6/21 - w/(-7). Suppose 0*v - 2*v = -4*z - 20, -3*v + 39 = 3*z. What is the highest common factor of v and o? 4 Suppose 0*a = -5*p - 3*a + 70, -2*a = -2*p + 28. Let q be -3 - -4 - (0 + 1). Suppose 3*t - 175 - 119 = q. What is the greatest common factor of p and t? 14 Let y be (-2)/6 + (-17)/3. Let r = 22 + y. Calculate the greatest common divisor of 24 and r. 8 Let w be (-2 + 0)*22/(-11). Calculate the greatest common factor of w and 1. 1 Let p(m) = m. Let x be p(1). Let o be x/(-4 + (-197)/(-49)). What is the greatest common factor of o and 7? 7 Let u(y) = -2*y - 4. Let l be u(6). Let w = l - -79. What is the highest common divisor of 9 and w? 9 Suppose 5*u + 4*x + 0*x = 57, -5*u = -5*x - 75. Let v(y) = 26*y**3 + y**2 - y. Let a be v(1). Let i = a + 0. What is the highest common factor of i and u? 13 Suppose 5*s - 384 = 2*d + 48, -5*d + 20 = 0. Calculate the highest common factor of s and 11. 11 Let c be 8/28 - (-3630)/35. Calculate the highest common factor of c and 39. 13 Suppose 0 = 2*s + 3 + 3. Let n be 624/(-18)*s/2. Calculate the highest common divisor of 13 and n. 13 Let n be 405/10 + 1/(-2). Suppose -i + 4*s = 4*i - 29, -n = -4*i - s. Suppose 0*q + 5*q - 45 = 0. What is the greatest common factor of i and q? 9 Let n = 37 + -19. Let g be (8 + -9)/((-1)/2). What is the greatest common divisor of g and n? 2 Suppose -5*l = 4*i, 8*i - l = 3*i. Let k be 2/2 + 83 + i. Let m = 7 - -5. What is the highest common divisor of k and m? 12 Let l be 2*-1*15/(-10). Suppose -5*s + l*s = 3*v - 7, 3*v + 5*s - 4 = 0. Let i be 7/v - 2/(-3). Calculate the highest common factor of 3 and i. 3 Suppose 4*b + 0*v + v - 27 = 0, -5 = -b - 2*v. What is the greatest common divisor of b and 119? 7 Let w(v) = 2*v**3 - 3*v**2 + v - 2. Let g be w(2). Let u be 3/(-6)*g/(-2). Let b be (-4)/(-14) + (-20)/(-28). Calculate the greatest common divisor of u and b. 1 Let t(w) = 2*w - 8. Suppose -4 = -j + 4. Let u be t(j). Suppose 4*k - 59 = 37. What is the greatest common factor of u and k? 8 Let l = -2 - 2. Let h be 2/4*(6 + l). What is the highest common factor of h and 5? 1 Suppose -4*g + 534 = -2*c, -2*g + 2*c + 252 = -2*c. Let f be 16/(-12)*(25 + -1). Let l = 49 + f. What is the greatest common factor of l and g? 17 Let t(z) be the third derivative of -z**4/4 - 3*z**2. Let j be t(-5). What is the greatest common divisor of 20 and j? 10 Suppose 4*w + 5*w = 9. Calculate the highest common factor of w and 45. 1 Suppose -5*a = -25 - 25. Calculate the greatest common factor of a and 80. 10 Suppose -17*n = -13*n - 12. What is the greatest common divisor of n and 27? 3 Let s = -19 + 35. Suppose 2*z + 43 = 4*n - 25, n - z = s. What is the highest common divisor of 162 and n? 18 Let l(r) = -1 + 54*r - 7*r + 2. Suppose -3 = -k - 6, k - 2
{ "pile_set_name": "DM Mathematics" }
. n, 1, j Suppose 2*i = -3*r + 7, -r + 2 - 1 = i. Put 9, 1, r, 3 in ascending order. 1, 3, r, 9 Let c = 1 + -6. Let i = -4.032 + 0.032. Put c, i, 1/3 in increasing order. c, i, 1/3 Let s = -26 + 27. Put -2, 4, s in decreasing order. 4, s, -2 Suppose -3*c - 2*a = -10, -2*c - 4*a = -3*a - 6. Suppose 6*d = -12 + 30. Put d, 0, c in increasing order. 0, c, d Let u(k) = -k**2 + 4*k + 10. Let h be u(5). Put 3, h, 1/2 in decreasing order. h, 3, 1/2 Suppose 0*n + 22 = 2*c + 5*n, -21 = -5*c - 4*n. Sort c, -2, 0, 4 in decreasing order. 4, c, 0, -2 Let o = 118/45 - 12/5. Put o, 2, -0.5, 5 in decreasing order. 5, 2, o, -0.5 Suppose -2*j - j + 225 = -3*o, 10 = -2*o. Let q be 12/(-10)*j/(-21). Suppose 0 = -y + 2*r + 14, -q*r = -4*y + 33 + 3. Sort y, 1, -5 in decreasing order. y, 1, -5 Let k = -26 - -31. Sort k, 3, -2 in ascending order. -2, 3, k Suppose -d + 8 = -3*d. Let w be 60/27 + d/18. Suppose 0 = -2*v - 3*v - 30. Sort 5, v, w. v, w, 5 Let k be (2/30)/((-7)/(-21)). Sort 1/3, k, -0.5 in increasing order. -0.5, k, 1/3 Let m = -0.3 - 0.1. Sort 2/11, 0, m in descending order. 2/11, 0, m Let o be 636/2613 + 2/(-13). Let g = -250/201 - o. Sort 0, 3, g in increasing order. g, 0, 3 Let i = 4.6 - 4.3. Let o = -3 + 3.4. Sort 4, i, o. i, o, 4 Let l be ((-21)/9 - -2)*-3. Suppose 4 = 4*v - 8. Let k = -3.95 - 0.05. Put k, v, l in ascending order. k, l, v Suppose 5*d - 3*d = 16. Suppose -4*s - d = -3*o, 4*o + 2 = 2*s + 6. Sort o, -1, 1. -1, o, 1 Suppose 0 = 4*k + 3 + 1. Let t be 1/k + -4 + 5. Let z = 10 + -12. Put t, z, 3 in increasing order. z, t, 3 Suppose 5*g + 7*i = 5*i - 35, 25 = -3*g - 2*i. Sort 0, 8, g, 4 in decreasing order. 8, 4, 0, g Let k = -201 + 197. Let r be 22/(-8) + 1/(-4). Sort r, -2, k in increasing order. k, r, -2 Let j = 87 + -91. Let t = -0.01 + 0.41. Let k = t - 0.7. Put k, -1/5, j in decreasing order. -1/5, k, j Let u = -3 - -3.7. Let p = u + -0.8. Sort p, -5, -4 in increasing order. -5, -4, p Suppose -17 = -4*f - 5*j, -f + 3*j = -2*f + 13. Let w = 0 - -4. Put w, 0, f in decreasing order. w, 0, f Let a(k) = k - 1. Let l be a(2). Sort l, -7, -1 in decreasing order. l, -1, -7 Let m = -79 - -82. Sort -1, m, 0.1, 1/11. -1, 1/11, 0.1, m Let j be (-24)/(-42)*6/8. Suppose -2*i + 4*r + 8 = 0, i + 4*r + 28 = -2*i. Sort j, -3, i in decreasing order. j, -3, i Let o = 14 + -18. Sort o, -5, 9. -5, o, 9 Suppose -2*a = -5*a + 15. Put a, 3, 1 in ascending order. 1, 3, a Suppose -5*y = 1 - 6. Suppose -9*o = -7*o - 20. Suppose 2 + o = 3*p. Sort p, y, -1 in increasing order. -1, y, p Let x = 0.2 + -0.3. Let r = 3.1 - 2.6. Put 2, r, x in descending order. 2, r, x Let o = -3.4 + 5.4. Let j = 7 + -6.6. Put o, 1, j in increasing order. j, 1, o Suppose 0 = f + 2, -4*s - 3 = -f - 9. Suppose -2*k - 5*n + 5 = 0, 4*k - s = -2*n + 1. Let c be ((-10)/(-6))/(-1)*3. Put 5, k, c in decreasing order. 5, k, c Let n = 1.5 - 2. Let l = -11.6 + -1.4. Let j = 11 + l. Sort n, j, 0.2. j, n, 0.2 Let r = -0.67 + 0.17. Sort r, -2, -3 in increasing order. -3, -2, r Let d(l) = -l**2 + l + 5. Let p be d(0). Let a = 2 - 7. Sort p, a, -3 in ascending order. a, -3, p Let g be ((-1)/2)/(1/10). Suppose -5*h + 1 = -9. Suppose 1 - 3 = -h*x. Sort x, g, -2 in decreasing order. x, -2, g Let a = 20 - 25. Put -3, 3, a in decreasing order. 3, -3, a Let m(u) be the second derivative of u**4/12 - 2*u**2 + 3*u. Suppose -5*f = -4*f - 3. Let l be m(f). Sort l, -1/2, -2/7 in increasing order. -1/2, -2/7, l Let c be (-8)/(-24) + (0 - 2/(-3)). Let f = -0.03 + 0.33. Put 0, c, f in increasing order. 0, f, c Let p be (-4)/8*(1 + -1). Suppose -y + 5 = -2*j, 2*j - 2*y = -p*y - 6. Put 0, j, -3 in descending order. 0, j, -3 Let c = 0.263 - -0.037. Put -1/2, c, 2/9 in descending order. c, 2/9, -1/2 Let c(d) be the third derivative of d**4/12 + d**2. Let s be c(1). Let a be 5/(195/s)*-3. Put a, 4, -0.1 in descending order. 4, -0.1, a Let v = 3.471 - 0.471. Let u be (-9)/4 - (-1)/4. Sort u, -4, v. -4, u, v Let m be (-6)/1*(-6)/(-40). Sort -1/2, m, -0.1. m, -1/2, -0.1 Let w = 40 - 40.31. Let s = w - -3.11. Let a = -3 + s. Sort a, 0.5, 3 in decreasing order. 3, 0.5, a Let q be 2/16*(7 - 1). Sort -0.2, 0, q in increasing order. -0.2, 0, q Let j = -0.11 + 0.41. Let l = 8 - 3. Let s be (-2)/7 - 29/(-28). Sort s, j, l in descending order. l, s, j Let w = -32 + 36. Let g = 3 + -4. Sort g, -2/13, w in descending order. w, -2/13, g Let q = 8 - 6. Let d be (q/3)/((-1)/3). Sort 1, 3, d in decreasing order. 3, 1, d Suppose 10*q = 7*q + 3. Sort 3, -5, q, -4 in descending order. 3, q, -4, -5 Let x be -4 + 1 + 3 + -3. Put 5, 2, x in increasing order. x, 2, 5 Suppose -8 = 5*o + 2. Let g(x) = x + 4. Let l be g(-7). Let q = l - o. Sort q, -2, -3 in descending order. q, -2, -3 Let z be 1/(-3) + 3/9. Suppose 3*g + z = 12. Let n = -10 + g. Sort n, 1, -3 in descending order. 1, -3, n Let w = 4 - 0. Let u(h) = -3*h + 2. Let s be u(2). Sort 1, s, w. s, 1, w Let n = 57 - 58. Let m = -25.8 + 18.1. Let b = -8 - m. Sort b, 0, n in descending order. 0, b, n Suppose -4*w - 1 = 7. Let r(y) = -y + 14. Let a be r(12). Sort w, -1, a in ascending order. w, -1, a Let f = -154.9 + 148. Sort 4, -3, f in ascending order. f, -3, 4 Let q(i) = -2*i + 4. Let x(s) = -3*s**3 - 2*s - 1. Let u be x(-1). Let o be q(u). Let y = -2 - -2. Sort y, 3, o in decreasing order. 3, y, o Let q be 1/((-6)/(-8))*3. Put q, -3, -1 in increasing order. -3, -1, q Let l = 30 + -25. Sort -2, 2, l, 9 in decreasing order. 9, l, 2, -2 Let g = -163 + 158. Put g, -2/13, -4, 0.2 in ascending order. g, -4, -2/13, 0.2 Let d = 143.4 + -143. Put d, 2/23, 2/3 in decreasing order. 2/3, d, 2/23 Let r be (3/(-15)*3)/(-3). Let d = -10 + 8.96. Let t = d + 0.04. Sort 1, r, t in ascending order. t, r, 1 Suppose -8 = -3*h + 7. Sort h, -1/3, 1 in descending order. h, 1, -1/3 Let g = -15 + 18. Let o be (g - 1)*1/(-2). Let f(i) = i - 1. Let k be f(2). Sort o, 4, k in decreasing order. 4, k, o Let y(b) = -2*b - 1. Let q be y(2). Let c(z) = -2*z**2 - 12*z - 4. Let j be c(-6). Put q, 0, j in descending order. 0, j, q Let o = -11 - -14. Suppose -o*j + 8*j = 20. Let x be 4/6 - (-8)/6. Sort -4, j, x. -4, x, j Let v = -3 - -4. Let n be 0*(-2 + 3)*v. Let x = 11 - 8. Sort x, 5, n in decreasing order. 5, x, n Let p = -0.1 - 0. Let r = -0.2 - p. Let c = -2 - -7. Sort r, c, -3/4 in descending order. c, r, -3/4 Let m(y) = -6*y - 8. Let t be m(-3). Put t, 1, -1, 5 in ascending order. -1, 1, 5, t Let h = 6 - 3. Suppose 2*d - w - 29 = -3*d, 0 = -3*w + h. Sort -2, d, 2 in decreasing order. d, 2, -2 Let m be (-2)/6 - 8/3. Let k(z) = z**3 + 3*z**2 - z + 2. Let c be k(-3). Put c, 3, m in ascending order. m, 3, c Suppose 2 = -y + 5. Suppose 0 = -2*v - y*v. Suppose 5*r - a = -9, 0 = 2*r + a + 3*a - 14. Put v, 5, r in descending order. 5, v, r Let u = -181/3 - -61. Suppose 0*m + m = 4*d + 21, 4*m - 4*d - 24 = 0. Let r be 1/((-8)/(-6) + m). Put 0.1, r, u in increasing order. 0.1, r, u Suppose -3*h - b = 15, -15 = 3*h - b - 0*b. Let m = 32.9 - 33. Put m, h, -1 in descending order. m, -1, h Let y = -0.12 + 0.02. Put 0.3, 1, y in decreasing order. 1, 0.3, y Let t(s) = s - 1. Let d = 4 - -1. Let r be t(d). Suppose -4*w + 2*q + 2*q = 20, -4*w = 4*q - 4. Put 1, r, w in decreasing order. r, 1, w Let w be 14 + -14 - (3 - 0). Sort w, 4, -2 in descending order. 4, -2, w Let x(q) = -q**2 + q + 1. Let m be x(0). Let r be 0 + (-6)/2 + -2. Put m, r, 3 in ascending order. r, m, 3 Let v = -3 - -4. Sort 2/3, v, -2/3. -2/3, 2/3, v Let w(j) = j**3 + 6*j**2 + 5*j - 3. Let b be w(-5). Sort b, 4, 3 in decreasing order. 4, 3, b Let b = -3 + 4. Let a(z) = z**3 - z - 1. Let d(p) = 2*p**2 + 3*p + 2. Let s(c) = 3*a(c) + d(c). Let q be s(b). Put -5, q, 3 in ascending order. -5, 3, q Let g = -0.9 + -0.1. Let d = -2/529 - 2106/2645. Let c be 9*1/(-5) - -2. Put g, c, d in increasing order. g, d, c Suppose -2*d = d + 9. Let z = 81 + -82. Sort 2, d, z. d, z, 2 Let p be (-17 + 12)*(-1 + (-8)/(-10)). Sort 2, 4, 5, p. p, 2, 4, 5 Suppose u + 7 = 10. Let o be (-2)/5 + (-135)/(-25). Suppose -7 = 2*g + g + 5*y, -4*y + 24 = -o*g. Put 2, g, u in increasing order. g, 2, u Suppose 6*d - 12 = 2*d. Let s be 1*0/(-3 - 1). Put -4, s, d in decreasing order. d, s, -4 Let y = -1 - -4. Let f = -5852/25 - -234. Let p = -17/100 + f. Sort 1, y, p in descending order. y, 1, p Let t(
{ "pile_set_name": "DM Mathematics" }
is bigger: g or -553? -553 Suppose 1025*i = 1046*i - 20559. Are i and 0 equal? False Let k be (-66)/(-11) + (1 - 5). Let j = -166 + 168. Is k greater than or equal to j? True Let j be 25/(-5) + (-4 - -8). Let p be (-73606)/416 + (j - 3)/2. Let c = 179 + p. Is 1 less than c? False Let l be 36/(-18) + 3*1. Let t = -3557 + 3415. Which is smaller: t or l? t Let s = -90 + 103. Suppose s*k = 8*k. Is -2/17 < k? True Suppose 5*k + 121 = g, g - 3*k - 75 = 40. Suppose 73*d - 109*d = -3852. Which is greater: g or d? d Let c = -895 + 900.66. Let v = 4.66 - c. Which is smaller: v or 486? v Let o = -193434/7 - -27513. Let z = o - -20267/168. Let s be 4 - (8 + -5) - 1/1. Which is smaller: z or s? s Let q(u) = -u - 955. Let h be q(2). Which is greater: -4788/5 or h? h Suppose 2*u - 2*y = 2, -3*y = 3*u + u + 3. Let d = 2/1291660811 - 772044145262/16940131536265. Let w = d + -2/2135. Which is greater: u or w? u Let m = -2611 - -2610. Which is smaller: 364 or m? m Let h be 138/207*1/((-2)/243). Are h and 6 equal? False Let t(l) = 7*l - 9. Let o be t(2). Suppose -136 = -o*i - 41. Let y be i/(1/((-4)/(-4))). Which is smaller: y or 18? 18 Let u = -3.84 + -0.56. Let i = -18.85 - -20.25. Let y = i + u. Is y not equal to 1/2? True Let k be (-890)/(-12015) - (-75)/81. Let h be -2 - (21/3 + 0). Let b be 10*(0 - 1/h). Which is greater: k or b? b Let r = 160 + -159.155. Let o = r + -1.845. Which is bigger: 220 or o? 220 Suppose h + o = -0*o + 3, -4*h + 2*o - 6 = 0. Suppose h = -4*l - 0*l + 12. Suppose -m = -l, 4*n - 3*m - 7 = 5*n. Is n at most as big as -15? True Suppose 213 + 603 = -0*n - 3*n. Which is bigger: n or -269? -269 Suppose -4*r - 230 + 223 = a, 13 = 3*a - 5*r. Is a < 5/528? False Suppose -4*b - z = -6*z - 346, -250 = -3*b - z. Do -1 and b have different values? True Let z be 299370/715 - ((-276)/(-22) + -12). Are z and 418 unequal? True Let i = 16059 + -48178/3. Which is bigger: i or -4448? i Suppose -3*w + 4*u - 85 = 0, u + 165 = -5*w + 3*u. Let j = 30 + w. Which is smaller: j or 7? j Suppose -2*f - 90*b - 120 = -91*b, -96 = 2*f + 5*b. Is f at most -63? False Let l = 178 - 168. Suppose 0 = -l*g - 7 + 47. Which is smaller: 36/13 or g? 36/13 Let j be -4*(-3 - (-19350)/3224 - 3). Is j > 0? False Let v(j) = -40*j + 2. Let k be v(2). Let i be (2/(-2))/((-7)/(-14)). Let z be (i - -5) + -5 - 76. Are k and z equal? True Let d = 23 + -9. Let k be 2/d + (-116)/28. Let m = -22 - k. Which is bigger: -13 or m? -13 Let r be (21/(-9))/((-72)/216). Is r less than -121? False Suppose 0 = -9*v - 19*v - 157 + 1529. Which is greater: 38 or v? v Suppose 83*p = 171*p - 258720. Is 2942 bigger than p? True Let o = -30.602 + 26.602. Is o less than or equal to 278? True Let o(q) = q**2 - 2*q - 41. Suppose 0 = 4*l, -4*r + l - 8 + 44 = 0. Let a be o(r). Suppose -72 = a*h - 28*h. Is h equal to 12? True Let c = 3958 - 3957. Is 1/41 bigger than c? False Let k = -1.2299 + 1.3299. Which is bigger: 2/9347 or k? k Let l = -5857/4 - -49661/20. Which is greater: 1018 or l? l Suppose 3*i = 6*i + 34*i + 1258. Which is smaller: i or -49? -49 Let w(a) = 51*a + 918. Let b be w(-18). Which is bigger: -6/3113 or b? b Let t = -84.2916 - 1.7084. Which is bigger: -3 or t? -3 Suppose 3*j - 616 = x + 332, 0 = -j - 3*x + 316. Let c = -278 + j. Which is smaller: -8 or c? -8 Suppose -o - 54 = -4*g, -o = -3*o - 4. Suppose g*s = 9*s - 40. Let z = 7 - s. Are z and 18 unequal? True Suppose -2*j - 4*j = -84. Suppose 16*a - j*a = 6. Let f be ((-90)/96)/((a/(-4))/(-1)). Which is smaller: f or 0? f Let y = -184 - -101. Let m = 57.6 - -26.4. Let d = y + m. Which is smaller: d or 26? d Let n(c) = 2*c**2 - 92*c + 93. Let a be n(45). Suppose -o + 2*b = -5, -4*b - 2 = -a*o + 7. Which is smaller: o or 3/8? o Let i be (-393786)/1670 + (3 - 1/1). Which is bigger: i or -235? i Let p = -116 + 122. Suppose -p*y = 2*y - 472. Which is bigger: 0.2 or y? y Suppose 64*t + 863 = -353. Let i = 52 + -59. Is t greater than i? False Let v(q) = 7*q**3 + 22*q**2 - 29*q - 26. Let h be v(2). Which is smaller: h or 57? 57 Let n be 9/18*(-1)/((-2)/696). Let l = -185 + 369/2. Are n and l equal? False Suppose 0 = x + 2*x - 3*f, -3*f - 2 = -4*x. Suppose 4*b = 10*b - 18. Suppose b*o + 2 = 2*o. Is x at most o? False Let l be 4/(-10) + 2762738/3145. Let f = 878 - l. Which is bigger: f or 0? 0 Let u be (-320)/60 - (-6 - 0). Is u less than or equal to -8/179? False Let k be (-537)/4*644/483. Which is smaller: -535/3 or k? k Suppose 4*i - 25 = 27. Suppose i*y = 9 + 56. Suppose -y*u = 73 - 13. Is u greater than -13? True Suppose -57*z + 52*z = -2*c + 422, z + 4*c + 58 = 0. Let y be 3/(3/(-83)) + 2. Which is smaller: z or y? z Let d = -3 - -3.054. Let p = 19.51 + -24.456. Let t = d - p. Is -0.3 greater than or equal to t? False Suppose -192*w + 10*l - 20 = -190*w, -5*l + 10 = 0. Which is smaller: w or 2/49545? w Let a be (-8)/(-88)*0 + (-38)/(-118). Do a and 4 have the same value? False Let y = -1475 + -411. Let b = 1809.9 + y. Let a = b - -76. Is a < -0.11? False Suppose -5*t = -2*s - 6*t + 81, -2*s + 78 = 4*t. Let j = s + -40. Let g be ((-13 + j)/4)/(-3). Which is greater: g or 0? g Let x be -4 + ((-291)/(-33) - 5) - (-57960)/(-1870). Which is greater: x or 0.1? 0.1 Let u be ((-3025)/(-125) - 13)/(10/(-10775)). Is u greater than -12070? True Let v = -72.1 - -71.9. Let h = -3.2 + 0.36. Let d = h + -0.16. Which is smaller: v or d? d Let g be (-48)/(-6) - ((-2)/5 - 38988/(-945)). Which is smaller: -34 or g? -34 Suppose -r - 4*r + 335 = 0. Let a be (-40)/12*-6*42/56*72/15. Which is bigger: r or a? a Let t = -1687 + 1658. Is t equal to 5? False Let l be 1/2*(-2)/(-10). Suppose 11 = 2*v + 9*v. Suppose 0 = 4*n - 3 - v. Which is smaller: l or n? l Let h = 19042.6426 + -19043. Is 0.2 greater than or equal to h? True Let m(h) = 72*h + 1085. Let x be m(-14). Is -4 at least x? False Suppose 0 = -d - 28 - 0. Let r = 30 + d. Suppose r*b + 2*b = -4*a + 56, -b = 5*a - 34. Is 7 < b? True Let q(c) be the third derivative of 0 + 0*c + 15*c**2 - 1/60*c**5 + 1/8*c**4 + 7/6*c**3. Let j be q(6). Is -11 at most as big as j? True Let a(x) = x**3 + 4*x**2 - 5*x - 5. Let y be a(5). Let c = y - 194. Which is bigger: -1/303 or c? c Let r be 21/(-18) + (28/(-8))/(-7). Let f(x) be the first derivative of -x**2 + 2*x - 7. Let w be f(1). Is r less than or equal to w? True Suppose -14*f = 21 - 77. Suppose -f*t - 9*p + 5*p - 148 = 0, 0 = 5*t + p + 173. Which is smaller: -197/6 or t? t Suppose 0 = 83*c + 7039 + 15786. Is -276 smaller than c? True Let x be 33704/22*((-2)/4 + 1). Is 769 != x? True Suppose 0 = 3*s - 2*k + 5601, 529*k - 534*k = -4*s - 7454. Which is greater: -2/5 or s? -2/5 Let f = -10370 - -12464. Which is smaller: 0 or f? 0 Let c = 5921 - 5997. Are c and -4 unequal? True Let x = 0.78 + -0.76. Let t = 96 - 47. Let l be (-7)/t - 34/(-42). Do x and l have the same value? False Let p = -29 + -56/3. Let d be 5 + (2/(-10))/((-21)/(-483)). Which is bigger: d or p? d Let n = -255.54 + -35.46. Which is bigger: -9/2 or n? -9/2 Let q(f) = 2*f + 6. Let b be q(-5). Let y = 1 - b. Let z = -20/481 + -421/1443. Are y and z equal? False Let l = 3 + -1.2. Let d = 99.36 - 99. Let r = d - 0.46. Is l at most as big as r? False Let j(q) = 16*q**2 - 12*q**2 - q**3 - 20*q**2 + 16*q + 3*q + 3. Let s be j(-17). Is s at most as big as -18? True Let q = -15028/2049 - -2/2049. Is q greater than 0.141? False Let m = -61 - -41. Let o = 4864 - 4887. Is m bigger than o? True Suppose 280 = -4*d + 3*b, -2*b - 69 = 2*d + 57. Let r = d - -44. Let s(v) = v**3 + 23*v**2 - 25*v - 46. Let q be s(-24). Which is bigger: r or q? q Let c(s) = -5*s**3 - 2*s - 17. Let j be c(-4). Let u = -312 + j. Is -14/39 bigger than u? True Let g be 3*-1 - (2 - (56 + -3)). Suppose -12 = -o - g. Let f be 8/(-56) + (-258)/7. Which is smaller: f or o? f Let x = 3099 + -3344. Which is smaller: x or -243? x Let f = 27.2 - 31. Let j = -731.6 + 726. Let p = j - f. Which is smaller: p or 1/4? p Let d = 0 - 2. Let y be -3*(d + 10/6). Let l = -2/4129 + -8140/243611. Is y at least l? True Suppose 0 = 2*p + 2*h - 22, -13 + 5 = -2*h. Suppose p*v = -v - 40. Let a be (-24)/10 + (v - -6) + 1. Which is bigger: 0 or a? 0 Let z be (-14)/(10/105 - (-320)/(-1008)). Suppose -5*v = -2*v - 189. Is z less than v? False Let p = -3719/15 - -1823/5. Is 11
{ "pile_set_name": "DM Mathematics" }
0 - 2*o) + (7 - 7 + 9*o)*(-3 + 3 + 1)*(-5 - 1 + 4). -10*o Expand (2*n - 3*n + 2*n)*(9*n**3 - 18*n**3 + 10*n**3 + n**4). n**5 + n**4 Expand (-5*o + 1 - 1)*(0 + 5 - 3). -10*o Expand d**4 - d + d + (3*d**3 + d**3 - 3*d**3)*(2*d - 8*d - 8*d). -13*d**4 Expand 0*a**2 + a**2 + 0*a**2 + 2*a**2 + 2 - 2 - 2*a**2 + 0*a**2 + 4*a**2 + (0*a + 3*a - 4*a)*(a - 2*a + 0*a) + (-2*a + 4*a - a)*(-2*a + a + 8*a). 13*a**2 Expand 2*g - 5*g - 3*g + 4*g - g - 2*g + g - 5*g + 6*g + (3 - g - 3)*(-4 + 2 + 3). -4*g Expand -3*p**5 + 2*p**5 + 2*p**5 + (p**2 - 1 + 1)*(-3*p**3 + 0*p**3 + p**3) + (-1 + 2 + 3)*(4*p**5 - 6*p**5 + 6*p**5). 15*p**5 Expand (2*r**2 + r**2 - r**2)*(-19 - 14*r + 19). -28*r**3 Expand (-1 + 2 - 2)*(9*c + 5*c**3 - 9*c). -5*c**3 Expand a + 4 - 4 + (-a - 4*a + 4*a)*(-2 - 4 + 4) - a + 0*a + 3*a + a + 0*a + 3*a - a + a + a + (-a + 0 + 0)*(-1 - 3 + 2). 12*a Expand (2 - 10*l - 2)*(2 + 0 - 4) - l + 0*l + 3*l. 22*l Expand (2 + 0 - 4)*(2*r - r - 4*r)*(-4 + 4 - 2) - r - r - 2*r - 5 + 5 + 4*r. -12*r Expand (0*t + 2*t - t)*(2*t - 4*t + 3*t + 7*t**2). 7*t**3 + t**2 Expand (0 - 4 + 1 + (2 - 1 + 0)*(3 - 2 - 3))*(-1 - d**2 - 2*d**2 + 0*d**2). 15*d**2 + 5 Expand (0 + 5 + 4)*(0 - 3 + 2)*(-5*d + d + 2*d). 18*d Expand (3 - 3 + s)*(18 - 1 + 17)*(2*s - 4*s + s). -34*s**2 Expand (z - z - 2*z + (-4 + 2 + 0)*(4*z + 3*z - 2*z))*(-5*z**2 + 3*z**2 + z**2). 12*z**3 Expand (0*f + 0*f + f**3)*(5 + 0 - 2 + (0 + 2 - 3)*(-4 + 5 + 1)). f**3 Expand -13*u**2 + 6*u**2 - 22*u**2 + (u**2 - u**2 - 2*u**2)*(-1 - 2 + 2) - u + u - u**2. -28*u**2 Expand (-1 - 2*a + 1)*(-13*a**3 + 17*a**3 + 20*a**3). -48*a**4 Expand (-2*i**2 + 3*i**2 - 3*i**2)*(4*i**2 - 5*i**2 + 3*i**2) + 0*i**4 - 2*i**4 + 4*i**4 - 1 - 5*i**4 + 1. -7*i**4 Expand (2*g + g - 4*g)*(-2 + 2 + 4*g)*(-2 + 2 - 1). 4*g**2 Expand -3*g**2 + 2*g**2 + 0*g**2 + (-4*g + 1 - 1)*(-6*g + 4*g + 3*g) - 1 + 3*g**2 + 1. -2*g**2 Expand 3*g - g + 0*g + (-1 + 5 - 2)*(-21 + 21 - 4*g + (-3 + 3 - 2*g)*(0 + 1 + 0)). -10*g Expand (-5*w + 4*w - w)*(5*w + 9*w + 5*w). -38*w**2 Expand (0 - 1 - 1)*(d**3 - 3*d**3 + d**3) + (-3 + d**2 + 3)*(-5*d + 3*d + 3*d) - 32 + 32 - 29*d**3. -26*d**3 Expand b**3 + 2*b**3 - 4*b**3 - 3*b**3 + 2*b**3 + 2*b**3 + (-b + 4*b - b)*(-4*b + 12*b**2 + 4*b). 24*b**3 Expand (3 + 3 - 4)*(3*p**2 - 3*p**2 + 3*p**3)*(-2*p + 2*p - 3*p**2). -18*p**5 Expand (-3 - 2*v**2 + 3)*(3*v + 2 - 2 + (-2*v - 2*v + 3*v)*(2 - 1 + 2) + 2*v - 5*v + 2*v). 2*v**3 Expand z + z - z + (2*z - 2*z + z)*(-3 - 2 + 3) + 1 - 1 - 3*z - 4 - z + 4 + 2*z - 2*z - 3*z. -8*z Expand (-1 + 13 + 7)*(0*n**3 + 0*n**3 + n**3 + (n + 4*n - 3*n)*(5*n**2 - 5*n**2 + 2*n**2)). 95*n**3 Expand (-2 - 1 + 4)*(4*d - d - 12*d). -9*d Expand (-14*t**2 + 14*t**2 + 7*t**2)*(2*t + t - 2*t). 7*t**3 Expand -1 + w + w + 3 + 5*w - w - 2*w + 2*w - 2 + 2 + (-2 + 3 + 1)*(4*w - w - w) + w - 4*w + 0*w. 7*w + 2 Expand (-4 + 2 + 0)*(-y**2 + 0*y**2 - y**2 + (4*y**2 - y**2 - 2*y**2)*(2 + 0 - 1) + 2*y**2 + y**2 - 5*y**2 - 4 + 4 + 7*y**2). -8*y**2 Expand (-2 - 3*w + 2)*(w + 0 + 0) - w**2 - 4*w**2 - 2*w**2. -10*w**2 Expand (-26*y + 2*y**2 + 26*y)*(1 + 2*y**3 - 1). 4*y**5 Expand 46*z**3 - 5*z**3 - 20*z**3 - z**3 + 2 - 2 + 4*z**3 - 3*z**3 - 2*z**3 + (2*z**2 + 3 - 3)*(2*z + 2 - 2) - z**3 + 3*z - 3*z. 22*z**3 Expand v**3 - 4*v**3 - 2*v**3 - 3*v + 3*v - v**3 + (-1 - 2*v + 1)*(0*v**2 + 2*v**2 + 0*v**2). -10*v**3 Expand (-3*r + 2*r + 2*r)*(-2 - 1 - 1) - 5*r + 4*r - r. -6*r Expand (-12*y - 13 + 13)*(-1 - 1 + 0)*(y + 5*y - 4*y)*(3*y**3 - 3*y**3 - y**3). -48*y**5 Expand (q**4 - 2 + 2)*(2*q + 2*q - 5*q) - 27*q**5 - 910 + 910 + (-2 + 3 - 2)*(-2*q**5 - q**4 + q**4). -26*q**5 Expand -425 - 2*u**4 + 425 + 3*u**3 + (0*u**4 + u**4 + u**4)*(-1 + 1 - 1) + 0*u**4 - 3*u**4 + 4*u**4. -3*u**4 + 3*u**3 Expand (6 - 3*m - 6)*(5*m**2 + 0*m**2 - 2*m**2). -9*m**3 Expand (-67 + 60 + 95)*(-3 - 2*g + 3). -176*g Expand (-2 - 2*z**2 + 2)*(-2*z + 6*z - 3*z). -2*z**3 Expand -13*f**4 + f**5 + 14*f**4 + 0*f**5 + f**2 - 2*f**5 - f**2 + (2*f + f - f)*(4*f**4 - 3*f**4 + 0*f**4) + 3*f**5 + f**5 - 3*f**5. 2*f**5 + f**4 Expand -3*j**3 + j**3 - 2*j**3 + (0*j + j**2 + 0*j)*(-1 + 1 + j). -3*j**3 Expand (-4*f - 2*f**4 + 4*f)*(-3*f + 0*f + f) + 0*f**5 + f**5 - 3*f**5 + 10*f**3 + 38 - 3*f**3 - 40 - f**5. f**5 + 7*f**3 - 2 Expand (-4*r**3 + 5*r**3 + 0*r**3)*(3*r**2 + 5*r**2 + 3*r**2). 11*r**5 Expand (-13 - 16*h + 13)*(-5 + 2 + 2)*(-2 + 2 + 1). 16*h Expand (m - m - m**2 + (2*m - 5*m + 4*m)*(-4*m + 2*m - m))*(-m - 3*m + 0*m). 16*m**3 Expand (3*m + 0*m - 2*m)*(-m - m + 0*m) - 2*m**2 + 0*m**2 + m**2 + 13*m**2 - 5*m**2 + 3 + m - 5. 5*m**2 + m - 2 Expand (-2*h**2 + h**2 - h**2)*(-113*h + 35*h + 29*h). 98*h**3 Expand (0*o - 2*o**3 + 0*o)*(-3*o + 4*o + 2*o) + 4*o**3 - 4*o**3 + o**4 - 25*o**4 + 11*o**4 + 11*o**4. -8*o**4 Expand 4*o**3 - o**2 - o**3 + 0*o**2 + 3*o**3 - o**3 - 4*o**3 + (-4*o + 3*o + 2*o)*(3*o**2 - 4*o**2 - o**2). -o**3 - o**2 Expand (3*b**4 - 2*b**4 - 3*b**4)*(-4 + 4 + 1) - 3*b**4 + 4*b**4 + 0*b**4 - 5 + 5 + 4*b**4. 3*b**4 Expand (2*d - d + 0*d + (2*d + 2*d - 3*d)*(1 - 2 - 1) - 1 - d + 1 + 2*d - 5*d + 4*d)*(-3*d**2 + 6*d**2 - d**2)*(-5*d - d + d). 10*d**4 Expand (3*c + 0*c - c)*(c**2 + c**3 - c**2) + (-3*c**2 + 3*c**2 - 2*c**3)*(-5*c - 2*c + 5*c) - 4*c**4 + c**4 + c**4. 4*c**4 Expand (0*v + 2 + 0*v - v)*(-3*v - 3*v + 4*v + (v - 2*v + 2*v)*(-1 + 5 + 3) + v + 0 + 0) + 2*v**2 + 5*v - 5*v. -4*v**2 + 12*v Expand (57*r**2 - 23*r**2 - 19*r**2)*(3*r**3 - 6*r**3 + r**3). -30*r**5 Expand (-3*y + y + 3*y)*(0 - 2*y + 0) - 2*y**2 - 1 + 3 - 1. -4*y**2 + 1 Expand (1 - 6 + 2)*(-2 + 2 - 3*w)*(-5 + 2 + 1). -18*w Expand (0*k + k + k)*(-26*k**4 + 81*k**4 + 21*k**4). 152*k**5 Expand (-3 + 2*k**3 + 3)*(-1 + 1 + 8*k + (2*k + 3*k - 7*k)*(-2 + 1 + 2) - 2*k + 2 - 2 + k - k + k). 10*k**4 Expand (-o**2 - o**3 + o**2)*(-6 + 5 - 5). 6*o**3 Expand (-11 + 11 + g)*(-2*g**2 + g**2 + 0*g**2)*(-2 + 0 - 1). 3*g**3 Expand (0*l + 4*l**2 + 0*l)*(l**2 - 2*l**2 - 2*l**2) - 2*l**4 - l**3 + l**3. -14*l**4 Expand (c**4 - c**4 - 2*c**4 + 2*c**3)*(12*c + 20 - 20). -24*c**5 + 24*c**4 Expand (-2 + 2 + 2*q)*(4 + 5 + q + 3). 2*q**2 + 24*q Expand (0 + 2*x + 0)*(-3 + 2 + 2)*(2 - 3 + 2). 2*x Expand m + 0 + 0 + (m + 3*m - 2*m)*(0 + 0 + 1) + 4*m - 3*m + 4*m - 5*m + 5*m + m. 9*m Expand ((1 + 1 - 1)*(0*a + 2*a**2 + 0*a) - 3*a**2 - a**2 + 7*a**2 + a**2 + a**2 - 3*a**2)*(-2*a**3 - 2*a**2 + 3*a**3 - 2*a**2). 4*a**5 - 16*a**4 Expand -3 - 2*g**4 + 3 + (-2 - 3 + 3)*(g**4 + 4 - 4) + (g**2 + 5*g**2 - 4*g**2)*(g - g**2 - g) + 2*g**4 - 4*g**4 + 0*g**4. -8*g**4 Expand (-6*x**2 - 2*x**2 + 1 - 2*x + 7*x**2)*(-8 - 5 + 2). 11*x**2 + 22*x - 11 Expand (6*g**2 - 2*g**2 - 3*g**2)*(-2*g + 0*g**2 - g**2 - g**2). -2*g**4 - 2*g**3 Expand -3 + 7 - 90*x + 91*x + (-3 + x + 3)*(-1 + 0 + 2). 2*x + 4 Expand (-4 + 2 - 6)*(2*s + 3*s - 3*s)*(3 + 1 - 1). -48*s Expand (139 - 139 - 13*g)*(1 - 3 + 1). 13*g Expand -t**2 + 0*t**2 + 0*t**2 + (-t - 1 + 1)*(3*t - 2*t + 2*t) + (-4 + 4 - 2*t)*(-4*t + 0*t + 3*t) + 4*t**2 + 3*t - 8*t**2 + 3*t**2. -3*t**2 + 3*t Expand 0 + 0 - 3*w**4 + (3*w**4 + 0*w**4 - 4*w**4)*(1 + 1 - 1). -4*w**4 Expand (0 + 3 + 3)*(2 + 2*z - 2*z**3 - 2)*(4 - 5 + 0). 12*z**3 - 12*z Expand (-2 - 2 + 2)*(6*d**2 - 3 + 3). -12*d**2 Expand (-1 + 1 + 3*t)*(1 + t**3 + 1 + t**3) + 5*t**4 + 2*t**4 - 5*t**4. 8*t**4 + 6*t Expand (-3*d**3 - 3*d**3 + 4*d**3)*(2 + 1 - 7)*(2*d + 3 - 3). 16*d**4 Expand 0*c**3 - c**4 + 0*c**3 + (0*c - 2*c - 2*c)*(2 + 3*c**3 - 2). -13*c**4 Expand (0 - 10 + 5)*(2*y**2 + 1 - 1)*(-y + 5*y - 2*y). -20*y**3 Expand (34 - 34 - 7*u)*(1 + 1 - 1)*(3 + 2 - 3). -14*u Expand (-3 + 1 + 0)*(-2*g**4 + 3 - 3) - 2*g**3 - g**4 + 2*g**3 + g**3 - g**3 + g**4 + (0*g**3 + g**3 - 2*g**3)*(g + 0*g - 2*g). 5*g**4 Expand (-m**2 + 5*m**2 - 2*m**2 - 3)*(-2*m - 4*m**2 + 2*m + (-m - 2 + 2)*(5*m + 0*m - 4*m)). -10*m**4 + 15*m**2 Expand ((-2 + 5 - 1)*(2*h - h + h) + 2 + h - 2)*(-1 + 1 + 3*h**3) + h**4 - 6*h**4 + 3*h**4. 13*h**4 Expand (0*i + i + i)*(3 - 2*i**4 - 3) - 8*i**5 - 13*i**5 - 3*i**5 + 4*i**2 + 2*i**5 - 4*i**2. -26*i**5 Expand (-2*i - i + i)*(-67*i + 67*i - i**2). 2*i**3 Expand (-3 + 4 - 10)*(2*f**3 + 3 - 3)*(-3*f - 2*f + f). 72*f**4 Expand 4*g**3 - 8*g**3 + 3*g**3 + (-2*g + 0*g + 3*g)*(3*g**2 + g**2 - 2*g**2) + (g - 3 + 3)*(-3*g**2 - 4*g**2 + 5*g**2). -g**3 Expand (-f**4 + 9*f**2 + 0*f**2 - 2*f**2)*(0*f + f + 3*f). -4*f**5 + 28*f**3 Expand (2*t - 2*t
{ "pile_set_name": "DM Mathematics" }
the form x*o + v and give x. 108 Express -2*y**3 - 4*y**2 + y**3 + 2*y - y**3 as l + q*y**3 + k*y**2 + x*y and give q. -2 Rearrange (y**3 - 4*y**3 + 2*y**3)*(y + 0*y + 0*y) to the form h*y**2 + f*y**3 + t*y**4 + p + u*y and give t. -1 Express 53*b**2 - 58*b**2 + 118*b**2 + 5*b**2 - 2*b**2 - 2*b**2 + (4*b - 3*b - 3*b)*(-6*b + 3*b + 4*b) in the form a*b**2 + y*b + d and give a. 112 Rearrange -34*h + 137*h - 59*h to s + c*h and give c. 44 Express -6*o - 38*o - 39*o - 5*o in the form m*o + g and give m. -88 Rearrange 3*x + 2*x**2 - 7*x + 3*x to the form y*x**2 + r*x + f and give r. -1 Express 5*c + 4*c**2 - 3*c**3 + 4*c**3 - 2*c**2 - 2*c as w + p*c**2 + d*c + g*c**3 and give g. 1 Express 6*b - 2*b + b as y + v*b and give v. 5 Express (-3*d + 2*d + 0*d)*(-70 + 106 + 131) in the form j + f*d and give f. -167 Express (-1 - 13 + 20)*(2*j + 2*j - 3*j) in the form v*j + s and give v. 6 Express 14*z**2 - 5*z**2 + 3 - 3 as p*z**2 + y*z + b and give p. 9 Express (w - 4*w + 5*w)*(1 + 16 - 3) + 1 + 5*w - 1 as b*w + p and give b. 33 Rearrange -15*y**3 + 2 + 66*y**2 - 67*y**2 - 17*y**3 to the form l + z*y**3 + a*y + n*y**2 and give z. -32 Express b**2 - 6*b + 7*b - 12*b - 8*b as t*b + f*b**2 + j and give t. -19 Express 145 - 145 + 40*j in the form o*j + n and give o. 40 Rearrange 3*o**2 - o**4 + 0*o**2 - o**4 + o**4 - 2*o**3 to d*o**3 + r*o**2 + p*o**4 + h + b*o and give d. -2 Express -65 + 123 - 58 + 20*g as l + h*g and give h. 20 Rearrange -4*d**4 + 2*d**4 - d**2 + 0 + 1 + 0 to f*d**2 + v + l*d**4 + n*d + a*d**3 and give f. -1 Rearrange (2 - 2 - 1)*(4*s - s - s)*(-24*s + 23*s + 2*s**2 + 36*s - 1) to a*s**2 + o + w*s + g*s**3 and give g. -4 Express -3 - t**3 + 3 + 3*t as i*t**2 + n*t**3 + j*t + p and give j. 3 Express 3 - 12*u - 3 - u - 1 + 1 + 2*u - 4*u + u + (2*u + 0*u + 0*u)*(6 - 3 - 1) in the form p*u + a and give p. -10 Express f**3 - 2*f + 2 - 4*f**3 + 120*f**2 - 120*f**2 in the form a + k*f**3 + l*f**2 + y*f and give l. 0 Rearrange -4*w**4 - 2 + 3*w**3 - 4*w**4 + 1 - 3*w**2 + 6*w**4 to s*w + i*w**3 + y + h*w**4 + g*w**2 and give g. -3 Rearrange 2 + c - 3*c + 3*c**4 - 3*c**3 + 0*c to x*c + k*c**2 + m*c**4 + t*c**3 + s and give m. 3 Rearrange (0*p + 2*p - p)*(-5 - 1 + 1)*(11 - 26 + 2) to v*p + m and give v. 65 Rearrange (7 + 4 + 32)*(0*o + 0*o + o) + (1 - 1 + o)*(2 - 1 - 3) to u + b*o and give b. 41 Rearrange -38*q + 73 - 2*q - 3*q - 74 to the form c*q + r and give r. -1 Rearrange -6*t + 3*t + 27*t to f*t + j and give f. 24 Express -k**3 - k**3 + 17*k**2 - 21*k**2 - 2*k in the form i*k**2 + a*k**3 + n*k + f and give i. -4 Express (5 - 5 + 2*y)*(-3*y + y + 0*y)*(1 + 2*y**2 - 1) + 28*y + 10*y**4 - 28*y as p*y**2 + g*y**4 + d + h*y + n*y**3 and give g. 2 Express -2*u**2 + 2*u**2 + u**4 + (4*u**3 + 2*u**3 - 5*u**3)*(-3 + 3 + 2*u) + u**4 - 4*u**4 - u**4 in the form o*u**3 + h*u + w*u**2 + v + i*u**4 and give i. -1 Express 0*g + g**2 - 8*g**4 + 0*g**2 - g as j*g**2 + k*g**4 + v + h*g**3 + o*g and give j. 1 Express 29*r - 2*r**3 + 26*r - 53*r - 5 as h*r + k*r**3 + g*r**2 + i and give k. -2 Rearrange -a + 2 - a**3 - 2*a + 2*a + 2*a to t + r*a**2 + w*a**3 + o*a and give w. -1 Rearrange -11*c + 90*c - 7*c to x + h*c and give h. 72 Rearrange 0*t**3 + 2*t - 4*t + t**3 + (14*t + 6*t + 111 - 19*t)*(6*t**2 - 3*t**2 - 2*t**2) to a + j*t**2 + b*t + x*t**3 and give b. -2 Rearrange 485 - 31*a**4 - 485 + (-2*a - a**2 + 2*a)*(2*a**2 + 2*a**2 - 2*a**2) + 4*a**4 + a**4 + 0*a**4 to i*a**3 + u*a + r*a**2 + c*a**4 + t and give c. -28 Rearrange o + 5*o**3 - 4*o**3 - o**2 - 3*o**3 + 7*o**3 to f + j*o**3 + g*o + q*o**2 and give j. 5 Express (5*b - 3*b - 3*b)*(-8*b - 34*b - 38*b) + (b - 3*b + 4*b)*(-b + b - b) in the form f*b**2 + g + v*b and give f. 78 Rearrange -4*t + 24*t + 24*t to m*t + s and give m. 44 Rearrange (1 + 0 + 1)*(-f - 4*f + 4*f) + 0 + 0 + 3*f + (-2 + 6 - 2)*(-2*f + 2*f + f) - 4 + 4 + 2*f + f + 2*f + 0*f to the form q*f + c and give c. 0 Express (-2*t + 0 + 0)*(4 + 1 - 4)*((2 - 2 + 2*t)*(6 - 4 - 3) + 11*t + 0*t + 6*t) in the form k + g*t + x*t**2 and give x. -30 Express -z**2 + z**2 - 3*z**2 as n*z + l + d*z**2 and give d. -3 Rearrange -5 + 0*u**3 - 3 + 5 - 2*u**3 to o*u**3 + q + w*u + l*u**2 and give o. -2 Express -27*d**3 + 28*d**3 - 9*d**2 + 3*d - 3*d as i*d**2 + c*d + v*d**3 + r and give i. -9 Express -5*y + 3*y + 4*y + 2*y**2 as t*y + c*y**2 + n and give c. 2 Express 3*l**3 + 0*l**3 - 2*l**3 + l**3 + l**4 + 3 in the form w + s*l + y*l**3 + o*l**4 + x*l**2 and give o. 1 Express 77*o**2 - 158*o**2 + 87*o**2 - 2*o in the form u + a*o**2 + r*o and give a. 6 Rearrange 2 + 39*i - 20*i - 2 to the form z + c*i and give c. 19 Rearrange (-2*f**3 + 5*f**3 + f**3)*(1 - f + 1 + 3*f) to the form t*f + q*f**4 + l + r*f**2 + w*f**3 and give w. 8 Rearrange (4*c - 6*c + 0*c)*(1 - 4 + 4) + 0*c + c + 6*c to the form s + m*c and give m. 5 Rearrange (w - 1 + 1)*(-5*w + 0*w + 4*w) - 97 + 44*w**2 + 97 to the form r*w**2 + n*w + d and give r. 43 Rearrange -2*n**3 - 1 + n - 6*n**4 + 8*n**4 + 2*n**3 to the form m*n**4 + b*n**3 + x*n**2 + c + f*n and give c. -1 Express -n - 2*n + n + 25*n - 44 + 44 + (2 + 0 + 0)*(-n + 0*n + 3*n) - n + 0*n + 0*n as x + y*n and give y. 26 Rearrange -r + 0*r + 0*r + (-2 + 3 + 2)*(-4 + 4 + 3*r) + (r - 3 + 3)*(-3 + 3 - 2) + r - 3*r + r to b + p*r and give p. 5 Rearrange (-18 - g + 15 + 32)*(1 + 3 - 6) to b*g + w and give w. -58 Express 3 - 119*o**2 + 126*o**2 - 1 as w*o**2 + m + j*o and give w. 7 Express (7*j + 2*j - 11*j)*(5*j**2 - 3*j**2 - j**2)*(-1 + 1 + 2*j) as d*j + h*j**4 + t*j**2 + r + y*j**3 and give h. -4 Rearrange 20*b**3 + 21*b**3 - 6*b**3 + (-5 - 1 + 4)*(-2*b - b**3 + 2*b) - 2*b**3 + 3*b**3 - 2*b**3 to x + y*b**2 + i*b**3 + n*b and give x. 0 Express (-5*j + 4*j - 3*j + (j - 2 + 2)*(-1 - 1 + 1) + 4 - j - 4 + j - 4*j + 5*j)*(j**2 + 5*j**2 - 3*j**2) as q*j**3 + a*j + z*j**2 + u and give q. -12 Express 3*q**2 - 2*q**2 + 1 - 6 - 2*q**4 + 4 as p*q + o*q**2 + t*q**4 + r*q**3 + v and give o. 1 Rearrange -3*l**2 - 2*l + 2*l + (-2 + 1 - 2)*(l + 3*l**2 - l) - 2*l**2 - 3*l + 3*l - l**2 + 4*l - 4*l to q*l + i + x*l**2 and give x. -15 Rearrange (0*o**2 - o**2 - o**2)*(-3*o**2 - o**2 - 3*o**2) - o**4 - 4*o**4 + 3*o**4 to b*o + g*o**3 + x*o**2 + r*o**4 + s and give x. 0 Rearrange 0*m**4 + 8 + 2*m**3 - 10 + 2*m**4 to the form b*m**2 + v*m**3 + f*m + o + g*m**4 and give b. 0 Express 76 - 41 - 44 + 4*k**2 in the form g*k**2 + x*k + a and give a. -9 Express 15 + 16 - 3*f - 4 - 7 as l*f + d and give d. 20 Rearrange 27*g**3 + 6 + 7 - 29*g**3 + 4*g**2 to i*g**2 + u*g + j*g**3 + d and give i. 4 Rearrange (11*x**3 - 15*x**2 + 15*x**2)*(-x - 2*x + 1 + x) to m + i*x**3 + s*x**2 + d*x + j*x**4 and give d. 0 Express 13*l + 3*l + 4*l as o*l + f and give o. 20 Express (2*w - 2*w + 2*w**3)*(-4*w + 6*w - w) + (2 - 5 + 2)*(-23 - 2*w**4 + 23) in the form i*w**4 + c*w**2 + j + b*w**3 + d*w and give i. 4 Express 73*z - 19 + 45*z + 19 in the form m + d*z and give d. 118 Rearrange -5*j + 56*j + 3*j + (-4 + 5 + 1)*(-3*j + 2*j + 2*j) to the form k*j + t and give k. 56 Rearrange 92*l**2 + 118*l**2 + 80*l**2 - 63*l**2 + (-3*l - l + 6*l)*(3*l - 3*l + l) to the form c + h*l + n*l**2 and give n. 229 Express -9*c**2 + 186 - 186 + 2*c in the form n*c**2 + s*c + x and give n. -9 Rearrange 90 - 90 + 138*l to the form s*l + n and give s. 138 Rearrange 2*v + 2 + 7 - 24*v**2 - 8 to the form x*v**2 + h + j*v and give j. 2 Rearrange -4*u**2 + u**2 + 4*u**2 + (-4*u - u - 8*u)*(-2*u + 0*u + 3*u) to f*u**2 + v + i*u and give f. -12 Rearrange -2*w**2 + 1 + 0*w**2 - 3*w**2 + 3*w**2 - 2*w**3 to the form u*w**3 + n + l*w + m*w**2 and give n. 1 Rearrange 57 - 4*o - 3*o - 50 + 5*o to the form q*o + n and give q. -2 Rearrange 5*m - m + 2*m - m + 1 - 1 + 0*m + m + 0*m + (-1 - 2*m + 1)*(0 + 2 - 1) - m - 5 + 5 + 3*m - 3*m + m to t + a*m and give a. 4 Express (-2*k + 3*k - 3*k + (-2 + 2 - 2*k)*(1 - 5 + 1))*(-k - 3*k + k) as i*k + l*k**2 + s and give l. -12 Rearrange -37*z**3 - 38 - 33*z**3 + 69*z**3 to s*z + v*z**3 + b*z**2 + d and give v. -1 Express -2 - 9*o**2 + o**4 + 5*o**2 + 9*o**2 + 2*o**3 in the form d*o**2 + g*o**3 + j + l*o**4 + m*o and give g. 2 Rearrange (142*g - 57*g + 49*g)*(1 - 1 + 2*g**2) + g**3 - 2*g**3 - g**3 to w*g + a*g**3 + i + h*g**2 and give a. 266 Rearrange ((4 - 3 - 5)*(-2 + 4 + 3) - 3 + 1
{ "pile_set_name": "DM Mathematics" }
. What is the biggest value in i, 1, 4? 4 Let g(w) = -w**2 + 3*w - 3. Let o be (-12)/(-10)*(-50)/(-20). Let c be g(o). Let u = -0.1 - 0.1. What is the second biggest value in c, u, 1? u Let q = 4.3 - 1.3. Which is the second biggest value? (a) q (b) 0 (c) -1/7 b Let b be ((-1431)/(-12))/(3 + 0). Let c = -40 + b. What is the second biggest value in 3, c, -4? c Let l be 3/(-30)*4/3. Let p = 7 - 9. Let q be (-27)/(-45) - p/(-20). Which is the biggest value? (a) l (b) q (c) -4 b Suppose 5*q + 4*l - 91 = 0, 0*q - 56 = -4*q + l. Suppose 5*w - 6*w = 5*s + 38, -5*w - q = 0. What is the biggest value in s, -1, 1? 1 Let c(w) = -w**3 - 10*w**2 - 8*w + 12. Let p be c(-9). What is the smallest value in p, -0.1, -0.4? -0.4 Let y = -4 + 2. Let t = y + 2.4. What is the second smallest value in t, 3/7, 2? 3/7 Suppose -2*u + 4 = 2*u. Which is the second smallest value? (a) u (b) -0.4 (c) 3 a Let g = 4.03 + -0.03. Let q = 3.7 - g. Let v = -4.9 - 0.1. Which is the biggest value? (a) q (b) v (c) 5 c Let o = 0.64 - 2.64. Which is the third smallest value? (a) -4 (b) o (c) 1/7 (d) 3 c Let u(m) = -m**3 - 22*m**2 - 4. Let s be u(-22). What is the fourth biggest value in 3, s, 0.4, 0? s Let m be 6/9 - 16/33. Let z = -2.6 - 0.4. Let r = z - -2. What is the third biggest value in m, -2, r? -2 Let x be ((-1)/(-6))/(6/8). Which is the biggest value? (a) x (b) -5 (c) 5 c Let m be (-1)/(2/(-7) - 25/(-14)). Let d = 0.04 - -1.96. Let f = -1 - d. What is the biggest value in m, 4, f? 4 Let w = -0.7 - -0.4. Let t = -217 - -1089/5. Which is the third smallest value? (a) t (b) w (c) 0.4 a Let s = 2 + -3. Let r be 1*s - (-6)/12. Let v = 0.09 + -2.09. Which is the second biggest value? (a) v (b) -0.4 (c) r c Let z = 29 - 201/7. What is the second biggest value in z, -4, 2/3? z Let m = -7 + 7.04. Let g = -2.04 + m. Let k(w) = w**2 - 5*w + 2. Let d be k(5). Which is the third biggest value? (a) d (b) g (c) 5 b Let w = 19 - 23. Which is the third smallest value? (a) -5 (b) 12 (c) w b Let v = 36 + -255/7. What is the biggest value in 5, -2, v? 5 Suppose -4*u + 2*g + 21 = 7*g, 3*u + 4*g = 16. Let l be u/12 + (-11)/6. Let y = -2 - -2.1. Which is the second biggest value? (a) l (b) y (c) 0.4 b Let v = -8 - -7.7. Let k(p) = -3*p**3 + p + 1. Let m be k(-1). Which is the second biggest value? (a) v (b) -3 (c) m a Let u = 272 + -1366/5. Let j = -2.7 - 0.3. Let r = -2 - j. Which is the second smallest value? (a) r (b) u (c) -5 b Let q = 6/7 - 29/42. What is the second smallest value in 1, q, 3, -11? q Let m = -0.1 + 0.1. Let s = m - -0.1. Let o be 45/(-42) + 1/2. Which is the third smallest value? (a) s (b) o (c) 2 c Let x = 45/58 + -8/29. Which is the third smallest value? (a) 3/2 (b) 0 (c) 3/4 (d) x c Let p = -3.04 + 0.04. Which is the biggest value? (a) 1/7 (b) -5 (c) p a Let x = 571/2 + -294. Let j = x - -9. Let p be 112/(-180) - 2/(-9). Which is the second smallest value? (a) -0.5 (b) p (c) j b Let z = -7 - -7.4. Let j = 1 + 0. Which is the second biggest value? (a) j (b) z (c) 1/5 b Let v = 7 + -6.7. Let x be (-2 - -8)*(-3)/6. Let m = x - -8. Which is the smallest value? (a) 3 (b) v (c) m b Let b = -3 - -2.94. Let t = -0.04 + b. What is the second smallest value in t, -3/4, -4? -3/4 Let f = -26 + 27.1. Let h = f - -2.9. Which is the third smallest value? (a) 1/2 (b) h (c) -2 b Let m = 0.15 + 1.85. Let y = -0.3 - -0.6. Which is the second biggest value? (a) m (b) y (c) -3 b Let f = 0.08 - 0.58. Let z = -13 - -21. Let m = 12 - z. Which is the second smallest value? (a) f (b) m (c) 1/3 c Let z be (-22)/14 + 12/(8 - 2). Which is the biggest value? (a) z (b) -1/5 (c) 3 (d) -2 c Let x = -14 + 10. Which is the smallest value? (a) x (b) 4 (c) -0.2 a Let z = -30 - -25. Which is the third smallest value? (a) z (b) 0.5 (c) 0.1 b Let a = 3 + -3.4. Let h be 38/285 - 86/(-30). What is the second smallest value in a, h, -3? a Let x = 1.7 + 0.3. Let c = 13.6 + -14. Let m = -3 - 0. What is the biggest value in c, x, m? x Let w = 3.97 + -4. Let j = 0.47 - w. Let i = 646/7 + -92. What is the second biggest value in j, 0, i? i Let i = 0.03 - 0.03. Let w = i + 2. Which is the second biggest value? (a) 7 (b) w (c) -3 b Let m = -7 + 6. Let s(i) = i**3 - i**2 - 2*i - 1. Let j be s(m). What is the third smallest value in 0, 0.1, j? 0.1 Let l = 20 + -16. What is the biggest value in 0, -5, l? l Let y(m) = 2*m**2 - 2*m - 2. Let u be y(2). Let j be (u/(-21))/((-6)/(-9)). Which is the smallest value? (a) 5 (b) 0.5 (c) j c Let u = 1 - 0.5. Let j(o) = -15*o**3 + 2*o - 1. Let d be j(1). Let s be d/(-30) + (-2)/6. What is the biggest value in u, s, -4? u Let p = 0.026 - 0.106. Which is the fourth biggest value? (a) -0.1 (b) -2/13 (c) 4 (d) p b Let i = -3 - -5. Let d = 0 - -0.1. Let l be 1/((70/4)/(-7)). What is the second biggest value in l, d, i? d Let s = 2.7 - 7.7. Which is the biggest value? (a) s (b) 1/5 (c) -3 b Let v = 0.7 + -3.7. Let s = v - -3.4. Let o = -35 - -30. Which is the biggest value? (a) o (b) 1 (c) s b Let q = -0.2 + 1.2. Let p be 0 + 0 - 34/(-5). Let y = p + -20/3. Which is the third biggest value? (a) q (b) -0.1 (c) y b Let u = 45 - 29. Suppose u = 5*b + 1. Let r = 8 - 10. What is the third biggest value in b, -2/3, r? r Suppose 2 = -4*b - 2. Let d = 1 + -1. Let f = -2 + d. What is the third smallest value in 0.1, f, b? 0.1 Let f = 20 + -15. Suppose 3*z - 4*z - 2 = q, 5*z + 12 = -4*q. Which is the smallest value? (a) z (b) 1/7 (c) f a Let q = -3 + 2. Let u = 1 + q. What is the third smallest value in -5, -4, u? u Let o = 14.4 + -14. What is the third smallest value in 0.2, 10, o? 10 Let w be (3/39)/((-1)/(-2)). Which is the third biggest value? (a) w (b) 3/7 (c) 0.4 a Let r = 0 + 2. Let q = 31331606/461704341 + -6/301177. Let f = 2/73 + q. Which is the second biggest value? (a) f (b) 5/2 (c) r c Let o = -15 + 10. Let y = o - -4. Which is the second smallest value? (a) 4 (b) 0.3 (c) y b Suppose 5*o - 7 = -b + 16, 0 = -4*b + o + 8. Let x = 23 + -23. What is the second biggest value in 5, x, b? b Let p be (-3)/6*(-2)/3. Which is the second smallest value? (a) 0.4 (b) p (c) 0.2 b Let j = 36 + -28.5. Let i = j - 8. Which is the biggest value? (a) i (b) 0.1 (c) -2/5 b Let p = 0.8 + 0.2. Let t be 2/((-4)/16*10). Which is the third biggest value? (a) p (b) t (c) 4 b Let l = -0.4 + 0.3. Let u = l + -0.1. Let z = -0.2 - u. What is the biggest value in 3/4, z, -4? 3/4 Let r = 2/187 - -364/935. Suppose -5*h + 5 + 20 = 0. Let g = -3 - -7. Which is the third smallest value? (a) h (b) g (c) r a Let g = -0.3 + 0.4. Let c(n) = -n**2 + 4*n - 2. Let q be c(4). What is the second smallest value in 2, q, g? g Let a = 0.16 - 0.66. What is the fourth smallest value in -2, a, -4/5, -2/9? -2/9 Let x = 49068/25 - 1963. Let k = x + 17/25. Which is the third smallest value? (a) k (b) 1/9 (c) 0.1 a Let f = 2 + 9. Suppose -5*m = -2*o - 4*m + f, -3*o + 5*m = -27. Let t = -0.3 + 0.4. Which is the second smallest value? (a) t (b) -0.2 (c) o a Let m be (-2)/(0/(-4) - -6). What is the biggest value in m, 0.9, 0.1? 0.9 Let d = -0.43 + -0.07. Let y = 0.4 + d. Suppose w = -2*w + 3*j - 9, -2*w + 4*j = 2. Which is the third smallest value? (a) y (b) w (c) 0.03 c Let b = -0.2 - 0.1. Let o = 28.4 - 28. Let p = 0 - -3. What is the second biggest value in b, o, p? o Let y = -8 + 8.32. Let t = y - -0.98. Let q = -0.9 + t. Which is the smallest value? (a) -0.2 (b) 1 (c) q a Let n = 0.1 - 0.6. Let t be 5*1/(-2)*2. Let v = 0 - t. Which is the second smallest value? (a) 0.2 (b) n (c) v a Let u = 0.1 + -0.5. Let m = u - -0.5. Let q = -61/3 + 433/21. What is the third biggest value in m, q, 2? m Let x be (-2)/4*-14*-1. Let p = -4 - x. Suppose -5*f = p*j + 20, 5 = f - 3*j - 9. Which is the third smallest value? (a) -0.3 (b) 0 (c) f b Let u = -0.8 - -5.8. Let n = -589 - -588.2. What is the second smallest value in n, 2, u? 2 Suppose 0 = -24*h + 20*h - 40. Which is the biggest value? (a) 3/4 (b) h (c) -1/3 a Let w = 5 + 1. Let x = -5.8 + w. Which is the third biggest value? (a) 5 (b) x (c) 0.5 b Let i = 0.03 + 3.97. Let h = i - 4.3. Which is the biggest value? (a) h (b) -3/5 (c) 1/3 c Let w = 0.07 + -0.
{ "pile_set_name": "DM Mathematics" }
mon denominator of 31/686260 and 95/8068? 1384186420 Find the common denominator of -45/308966 and 27/1249. 385898534 What is the smallest common multiple of 95 and 11937? 1134015 What is the smallest common multiple of 66 and 2642418? 29066598 Calculate the common denominator of -63/76344064 and -91/919808. 76344064 Find the common denominator of 181/1563996 and -91/45. 23459940 What is the common denominator of 1/12245433 and 7/93? 379608423 What is the least common multiple of 1199 and 36844071? 36844071 Calculate the smallest common multiple of 12345 and 80035104. 400175520 Find the common denominator of 7/123640 and -71/14836800. 14836800 What is the least common multiple of 1001 and 15197? 167167 What is the common denominator of -13/17941 and 115/63448? 14783384 Calculate the common denominator of -38/19247577 and 26/11. 211723347 Calculate the least common multiple of 28519686 and 3879252. 1540063044 Calculate the least common multiple of 63768565 and 300623235. 2104362645 What is the common denominator of 23/50743 and 11/12521? 964117 What is the smallest common multiple of 3656 and 133852? 122340728 What is the smallest common multiple of 6771 and 6071330? 18213990 What is the smallest common multiple of 646102 and 4216? 2584408 What is the common denominator of -85/7042376 and 89/32416? 28169504 Calculate the smallest common multiple of 63074 and 626. 19742162 Calculate the common denominator of 51/15662800 and 31/31325600. 31325600 Calculate the least common multiple of 208065826 and 423070. 1040329130 What is the common denominator of 7/2 and -98/17463615? 34927230 Calculate the common denominator of 37/596960 and 127/6182800. 86559200 Calculate the common denominator of -29/341726 and 1/29668030. 326348330 What is the smallest common multiple of 22600 and 188543325? 1508346600 Calculate the lowest common multiple of 219827 and 148417. 169046963 Find the common denominator of -30/7 and -8/236385. 1654695 Calculate the common denominator of 173/202560 and 1/2633280. 2633280 Find the common denominator of 19/212284680 and 43/1302360. 212284680 Calculate the common denominator of 87/46772 and 79/280632. 280632 What is the least common multiple of 329814 and 635976? 159629976 Find the common denominator of -31/61290 and 56/22005. 9990270 What is the smallest common multiple of 82663 and 556346? 134079386 What is the common denominator of -123/3231820 and -139/5817276? 29086380 Find the common denominator of -93/13376 and 27/1632452. 5458919488 What is the lowest common multiple of 190 and 221518750? 4208856250 Find the common denominator of 49/20982118 and -89/5521610. 104910590 What is the lowest common multiple of 55873068 and 74497424? 223492272 Find the common denominator of 163/50544 and 55/164484. 76978512 Calculate the common denominator of -141/3080 and -67/361900. 723800 Calculate the least common multiple of 284 and 181644. 12896724 Calculate the common denominator of -47/34324556 and 43/8. 68649112 Find the common denominator of -29/1820 and -103/824460. 824460 Find the common denominator of -16/39432477 and 101/212. 157729908 Calculate the smallest common multiple of 3673770 and 317160. 44085240 What is the common denominator of 61/45120 and 145/538056? 21522240 What is the common denominator of -55/356652286 and 7/3? 1069956858 What is the least common multiple of 417376 and 15624? 815135328 What is the common denominator of -19/39375941 and 4/5532157? 669390997 Calculate the common denominator of 99/17118664 and -55/27817829. 222542632 What is the least common multiple of 468746 and 468746? 468746 What is the common denominator of -47/259855 and -97/160? 8315360 What is the lowest common multiple of 3075 and 506200? 62262600 Find the common denominator of -37/9115 and -6/569635. 1038444605 What is the common denominator of 23/198 and 111/5702444? 51321996 Calculate the smallest common multiple of 217979500 and 20. 217979500 Calculate the common denominator of -43/63720 and 71/77880. 700920 Find the common denominator of 71/688107489 and 23/33. 7569182379 What is the least common multiple of 2020980 and 10686? 276874260 What is the common denominator of 33/6230 and -50/4245787? 3778750430 Calculate the common denominator of -13/2741880 and 119/2700. 123384600 What is the common denominator of 23/15 and -107/5268702? 26343510 What is the smallest common multiple of 456016 and 792? 4104144 Find the common denominator of -49/90560 and 47/140000. 79240000 Calculate the smallest common multiple of 11495520 and 926028. 333370080 Find the common denominator of 29/19277232 and 149/187953012. 751812048 Calculate the common denominator of -79/2005414 and 15/4124342. 218590126 Find the common denominator of -33/14758765 and 53/157465. 162346415 Calculate the lowest common multiple of 1507086 and 3683988. 33155892 Calculate the least common multiple of 192852 and 1242824. 11185416 What is the common denominator of 95/48392 and -11/399052530? 1596210120 What is the common denominator of 45/112 and 107/99788? 2794064 Find the common denominator of 36/86657 and -15/30532. 5892676 What is the lowest common multiple of 16 and 1846044? 7384176 Calculate the smallest common multiple of 2196950 and 21090720. 105453600 What is the common denominator of -107/242 and 79/645474? 78102354 Find the common denominator of -149/497742 and 73/6138818. 18416454 Find the common denominator of 151/888 and 139/36519924. 2702474376 Find the common denominator of -28/27191 and 3/93802. 2550570182 What is the least common multiple of 15 and 80240391? 401201955 What is the least common multiple of 10704 and 219432? 438864 Calculate the lowest common multiple of 143952 and 189. 9068976 What is the smallest common multiple of 4640 and 34864? 10110560 Calculate the common denominator of 19/383520 and 37/290037. 46405920 Find the common denominator of 41/13859924 and 93/136. 471237416 Calculate the common denominator of -167/566496 and 31/616. 6231456 Calculate the common denominator of 95/33506784 and -163/95418. 636628896 What is the least common multiple of 5024612 and 38752? 281378272 What is the common denominator of -5/12081 and 70/71271? 287008317 Calculate the common denominator of 167/13524 and -1/704904. 34540296 Find the common denominator of -46/73062303 and -55/97416404. 292249212 What is the common denominator of -49/335513 and -1/3690643? 3690643 What is the common denominator of -193/9570 and 106/5775? 334950 Find the common denominator of -109/12684468 and -62/104646861. 418587444 What is the common denominator of 43/610594506 and -139/1098? 610594506 Calculate the least common multiple of 482496 and 201040. 2412480 What is the least common multiple of 2196 and 580842? 1161684 Calculate the common denominator of 143/216 and 47/67500. 135000 What is the common denominator of 56/10064937 and -55/143346? 140909118 Calculate the common denominator of 11/4636532 and -37/3002. 366286028 What is the lowest common multiple of 108 and 85699008? 257097024 What is the lowest common multiple of 192 and 396832? 2380992 Calculate the common denominator of 25/830674 and 85/8916. 4984044 Calculate the common denominator of 34/182979 and -37/5225067. 47025603 Calculate the smallest common multiple of 7840 and 20584900. 164679200 What is the common denominator of -67/16 and -35/310630548? 1242522192 Calculate the smallest common multiple of 88 and 3326576. 3326576 Calculate the common denominator of -1/100560884 and 89/12. 301682652 Find the common denominator of 91/158940 and -47/5450. 86622300 Calculate the lowest common multiple of 3783 and 281307. 27286779 What is the least common multiple of 6644 and 102784? 15520384 Calculate the lowest common multiple of 2868236 and 8809582. 123334148 Calculate the smallest common multiple of 1569994 and 220. 172699340 Calculate the smallest common multiple of 9232888 and 3160. 46164440 What is the least common multiple of 12177820 and 160? 97422560 What is the common denominator of 26/1196085 and -94/11199705? 123196755 Find the common denominator of 11/196428170 and 53/84275. 982140850 What is the smallest common multiple of 7759220 and 1551844? 7759220 Calculate the common denominator of 59/55299120 and 41/30. 55299
{ "pile_set_name": "DM Mathematics" }
at is -4 - -442400? 442341 In base 11, what is -34703 + 5? -346a9 In base 8, what is 471 + -47? 422 In base 3, what is -21002220122 - 2? -21002220201 In base 5, what is -2432420 + 1? -2432414 In base 9, what is -3 + -5730? -5733 In base 13, what is -4 + 69545? 69541 In base 9, what is 3 + 88228? 88232 In base 3, what is 1001110 + 10012? 1011122 In base 4, what is -11 + -131121232? -131121303 In base 4, what is -13 - 103312? -103331 In base 6, what is -354534 + 3? -354531 In base 11, what is -48294 + -6? -4829a In base 9, what is 7 + -44220? -44212 In base 7, what is -3211446 - 21? -3211500 In base 9, what is 22316 - 5? 22311 In base 12, what is 227ba + 4? 22802 In base 13, what is -1 - 31a0c? -31a10 In base 6, what is -10 + -433? -443 In base 10, what is -37693 + 0? -37693 In base 8, what is -4363 + 45? -4316 In base 5, what is 13423100 + 10? 13423110 In base 15, what is -11a + 122? 7 In base 12, what is -b78 - -21? -b57 In base 3, what is -22011 - 1021201? -1120212 In base 9, what is 3 + -108870? -108866 In base 6, what is -554251 + 0? -554251 In base 6, what is -11013 + 551? -10022 In base 4, what is -3101121 + 2? -3101113 In base 3, what is -11 + 20210102012? 20210102001 In base 15, what is -1 - 5ea7e? -5ea80 In base 15, what is 14 + 8e0? 904 In base 15, what is 5d - 26c7? -2669 In base 9, what is 188761 + 1? 188762 In base 3, what is 21101001022 + -12? 21101001010 In base 7, what is 1 + -2621144? -2621143 In base 4, what is 3131 + 2332? 12123 In base 8, what is 104 + 1305? 1411 In base 6, what is -1401 + -142? -1543 In base 15, what is -147 + 4ee3? 4d9b In base 12, what is -9 - 1747? -1754 In base 13, what is 2a6 - -23? 2c9 In base 13, what is -2 + -7678? -767a In base 6, what is 200 + -52? 104 In base 3, what is -11 - -1221202220020? 1221202220002 In base 3, what is -1210121122 + -110? -1210122002 In base 7, what is 302 - 10203? -6601 In base 16, what is 5 - 4964f? -4964a In base 16, what is 20 - -18e? 1ae In base 12, what is -5689 - 41? -570a In base 5, what is -321410 + -34? -321444 In base 5, what is 24 + 44002042? 44002121 In base 8, what is -46473 + -5? -46500 In base 4, what is -22013 - -13? -22000 In base 14, what is -1 + -259ab? -259ac In base 2, what is -101 - 10111011001110111111? -10111011001111000100 In base 13, what is -51a + -94? -5b1 In base 5, what is -3 + 22432? 22424 In base 9, what is 2 - 7860? -7857 In base 9, what is -180 - -7? -172 In base 13, what is -26 - -1766? 1740 In base 2, what is 101 + -101011111000110? -101011111000001 In base 9, what is 3102 + 3? 3105 In base 7, what is 3250 - -1635? 5215 In base 15, what is 3 - 603a? -6037 In base 8, what is 14106 - -144? 14252 In base 6, what is -221314231 - 3? -221314234 In base 4, what is 3 + -1200032331? -1200032322 In base 11, what is 1650a83 + -4? 1650a7a In base 12, what is -3160 - -2? -315a In base 6, what is -1542223 - 5? -1542232 In base 9, what is -3 + -111254? -111257 In base 4, what is -20122 - -302? -13220 In base 12, what is b87a3 + -2? b87a1 In base 16, what is -20 + 3be? 39e In base 2, what is -100110100 + -1101111110? -10010110010 In base 16, what is -10 - -f25? f15 In base 5, what is -102 + 3330? 3223 In base 5, what is 23 + 1044103? 1044131 In base 8, what is 11 - -541417? 541430 In base 8, what is -2 - -14261? 14257 In base 13, what is -8cb - 11? -90c In base 14, what is -555a + 1? -5559 In base 7, what is -4131 - -32? -4066 In base 15, what is 1b2 + -2a3? -e1 In base 6, what is -3 - -12201? 12154 In base 11, what is 7 - 6810? -6804 In base 4, what is -13202132 + 2? -13202130 In base 15, what is -3 + 4b23c? 4b239 In base 6, what is -4051443 + -2? -4051445 In base 3, what is 102120012101 + -10? 102120012021 In base 16, what is 1e - 27? -9 In base 11, what is 69079 - 22? 69057 In base 10, what is 4 - -8637? 8641 In base 4, what is -111 + -1332320? -1333031 In base 4, what is -11022331210 - -2? -11022331202 In base 3, what is -100 - 12221220010? -12221220110 In base 5, what is 24 + 10040423? 10041002 In base 6, what is -113 - 233? -350 In base 8, what is -1 - -3213346? 3213345 In base 5, what is -10 + 3331123? 3331113 In base 11, what is 4a630 - 19? 4a612 In base 13, what is 882 - -1505? 2087 In base 8, what is 10144 - 66? 10056 In base 16, what is -5 - 5d390? -5d395 In base 6, what is -25020 - 103? -25123 In base 14, what is 1 - -1aa9? 1aaa In base 3, what is -11 - -1010221121? 1010221110 In base 7, what is 1663 - 15? 1645 In base 10, what is 22628 - -2? 22630 In base 13, what is 72 + 1375? 1417 In base 4, what is 101303 + -1332? 33311 In base 5, what is 133104 + -2? 133102 In base 8, what is 50723 - -4? 50727 In base 15, what is b - 24? -18 In base 12, what is 92 + -3a9? -317 In base 2, what is 10100101110011010 - -111? 10100101110100001 In base 12, what is -1 - -ab33? ab32 In base 7, what is -4242 + -62? -4334 In base 3, what is 2 + 21021102120? 21021102122 In base 11, what is -4 - -1763a9? 1763a5 In base 2, what is 1010010001101001101 - -10? 1010010001101001111 In base 12, what is 29064 - -7? 2906b In base 15, what is c + -15e? -152 In base 5, what is 104231 + -22? 104204 In base 15, what is 2a6 - -88d? b44 In base 7, what is 505345 - -10? 505355 In base 3, what is 20121102 - -1111? 20122220 In base 7, what is 103 - 166? -63 In base 3, what is -21112 - -1220000? 1121111 In base 3, what is 111 - -10100? 10211 In base 11, what is -10a03a + 4? -10a036 In base 12, what is -9000 - -4b? -8b71 In base 7, what is 263 + -6164? -5601 In base 3, what is -2 - -211222001? 211221222 In base 9, what is -4052862 + 0? -4052862 In base 7, what is -35103 - -2112? -32661 In base 13, what is -7bc - 14b? -93a In base 12, what is -406 + -7? -411 In base 16, what is d00 + -37? cc9 In base 14, what is -9b25 + b? -9b18 In base 7, what is -146 + -160? -336 In base 6, what is -40300 - 10? -40310 In base 8, what is 0 - -34345? 34345 In base 9, what is 3 - 44000? -43886 In base 3, what is -101102 + -21000? -122102 In base 12, what is -3a56 + -11? -3a67 In base 3, what is -212112001 + 21? -212111210 In base 10, what is -378 + 20? -358 In base 7, what is 1230644 - 0? 1230644 In base 6, what is -53 - 1240242? -1240335 In base 2, what is 100000000010 + -101110? 11111010100 In base 5, what is -2021404 + 1? -2021403 In base 12, what is -392393 - 3? -392396 In base 4, what is -11 + 12231210? 12231133 In base 10, what is 67 - 17583? -17516 In base 4, what is -10113332 - -1210? -10112122 In base 15, what is 19e4 - a? 19d9 In base 12, what is -1 + -7518? -7519 In base 8, what is 66 + -320? -232 In base 9, what is -600 + 120? -470 In base 4, what is 112 - -112000132? 112000310 In base 3, what is -11002021111 - 10? -11002021121 In base 3, what is -112101 - -221211? 102110 In base 10, what is -25 - -80874? 80849 In base 5, what is 313 - -10341? 11204 In base 12, what is 11801 + -4b? 11772 In base 9, what is 621 - -17607? 18328 In base 7, what is -10 - -136011? 136001 In base 3, what is -111112 - -101? -111011 In base 7, what is 2 - 3100? -3065 In base 2, what is -10100001111111 + 1000? -10100001110111 In base 13, what is -1bb90 + -5? -1bb95 In base 8, what is 3400703 + 2? 3400705 In base 2, what is -1 - 10000100110000? -10000100110001 In base 10, what is -23735 - 2? -23737 In base 4, what is 12222303 - -303? 12223212 In base 13, what is 6bb17 - -1? 6bb18 In base 2, what is 111000101100100 + -1? 111000101100011 In base 4, what is 20 + -32222320? -32222300 In base 13, what is 1aa13 - -1? 1aa14 In base 7, what is -1111625 + -2? -1111630 In base 5, what is 10032 + 1440? 12022 In base 3, what is 22011 + -111111? -12100 In base 6, what is 2155113 + 5? 2155122 In base 14, what is -1b2 + -521? -6d3 In base 13, what is -2b763a + -5? -2b7642 In base 13, what is -30c + -1bb? -4ca In base 3, what is 11 + -1020110212? -1020110201 In base 7, what is 2 + 251466? 251501 In base 11, what is 217a + -4? 2176 In base 3, what is -112222220 - -1? -112222212 In base 14, what is 3084 + -1b? 3067 In base 14, what is 1192 - -9b6? 1b68 In base 2, what is 111100101100111 + 10000? 111100101110111 In base 8, what is 3 + -3303564? -3303561 In base 15, what is -31c9bc - -5? -31c9b7 In base 12, what is 455 - b3? 362 In base 4, what is 10 + 323033331? 323100001 In base 9, what is -4 + 673? 668 In base 15, what is -48bd -
{ "pile_set_name": "DM Mathematics" }
5) + sqrt(5) + 1))**2. 64*sqrt(5) + 319 Simplify 4 + -3*(-1 + (sqrt(242)*-5*6 - sqrt(242))). 7 + 1023*sqrt(2) Simplify 3 + -1*(4 + sqrt(11) + 3 - sqrt(11) - (sqrt(11) + 3)*-2). -10 - 2*sqrt(11) Simplify ((sqrt(152) - 1*sqrt(152))*-3 - (sqrt(152) - (6*(2*sqrt(152) + sqrt(152)) + sqrt(152) + sqrt(152))))/(2*sqrt(512)*1 + sqrt(512)). 19*sqrt(19)/24 Simplify -3*(sqrt(17) - (sqrt(17) + (sqrt(17) - (sqrt(51)/sqrt(3))**2) + -3) - ((sqrt(17)*-2)**2 + 0)) + -1. 3*sqrt(17) + 143 Simplify ((4 + sqrt(304)*2 - sqrt(304))**2 - ((2*sqrt(190))/sqrt(10) - (sqrt(133)/(sqrt(28)/sqrt(4)))**2)) + 5. 30*sqrt(19) + 344 Simplify ((sqrt(1440) + sqrt(1440)*-2 - sqrt(1440)) + sqrt(5760)*2)/((-1*sqrt(88)*4)/sqrt(11)). -3*sqrt(5) Simplify (-5*-1*sqrt(432))/(sqrt(176)/sqrt(11) + (sqrt(100)*1 - sqrt(100))). 15*sqrt(3) Simplify (((sqrt(102) + sqrt(102)*-1)*2)/sqrt(6) + 5 + sqrt(17) + -1*sqrt(17) + sqrt(17) + 1 + -2 + 3)**2*4. 56*sqrt(17) + 264 Simplify (3 + (sqrt(704) + 1*sqrt(704) + 2)*3)**2. 864*sqrt(11) + 25425 Simplify ((sqrt(2) - (sqrt(2) + -1)*5) + sqrt(2) + sqrt(144)/sqrt(8))**2 + ((2*sqrt(392) - sqrt(392)) + sqrt(8))/sqrt(4) + -3. 8*sqrt(2) + 22 Simplify 2*sqrt(1053) + sqrt(1053) - (-6*(sqrt(13) - (sqrt(13) + -1)))**2 - 1*-2*(sqrt(13) - (sqrt(13)*-2)**2). -140 + 29*sqrt(13) Simplify (-2*sqrt(11) + 4)**2 + -5 + (sqrt(99)/sqrt(3) + sqrt(33))/sqrt(3) + sqrt(11)*-2*-6. -2*sqrt(11) + 55 Simplify (1 + sqrt(300) + sqrt(300) + -2 + sqrt(300) + (-3 + sqrt(300))**2*-5)*-1. -330*sqrt(3) + 1546 Simplify -3*((-4*((0 + sqrt(3))*4 + -5*sqrt(9)/sqrt(3))*-4)**2 + -1). -2301 Simplify ((sqrt(132)*1 + sqrt(132))*1)/sqrt(12) - (3 + sqrt(22)/sqrt(2) + 1). -4 + sqrt(11) Simplify sqrt(576)/(sqrt(108) + sqrt(108)*1 + sqrt(108) - sqrt(12)) + ((sqrt(150) + 1*sqrt(150) + sqrt(150))/sqrt(5))/(sqrt(30)/sqrt(3)*1). 7*sqrt(3)/2 Simplify sqrt(63)/(sqrt(18)/sqrt(2)*1) - (0 + 3*-1*sqrt(7)). 4*sqrt(7) Simplify (sqrt(68) + -3 + sqrt(68) + sqrt(17) + (-1 + sqrt(17) + sqrt(17) + 1 + sqrt(17) - sqrt(17)) + (-2*(sqrt(170) - sqrt(170)*-2))/(1*sqrt(20)/sqrt(2)))**2. -6*sqrt(17) + 26 Simplify 1 + 4 + (((1*sqrt(210))/sqrt(7))/((sqrt(90) - ((sqrt(90) - (sqrt(90) - (sqrt(90)*2 + sqrt(90)))) + sqrt(90) + sqrt(90))) + sqrt(10)))**2. 608/121 Simplify 4 + sqrt(189)/(sqrt(48) - sqrt(3)) + sqrt(63) + 2*(sqrt(28)*-3 + sqrt(35)/(sqrt(20)/sqrt(4))). -6*sqrt(7) + 4 Simplify ((-4 + 4*(-1*sqrt(1900)*3 + sqrt(1900)*-1 + 0))*5)**2. 32000*sqrt(19) + 12160400 Simplify ((sqrt(99)/(-1*sqrt(9)) - (((sqrt(1100) + -1 + sqrt(1100))**2 - sqrt(1100)) + sqrt(11))) + 0)*6. -26406 + 288*sqrt(11) Simplify ((-3*sqrt(675))/sqrt(3))/(1*sqrt(3)*1 + sqrt(108)*2). -15*sqrt(3)/13 Simplify ((4*sqrt(832) - sqrt(832))*3)**2 + (3 + 3 + sqrt(13))*-3. -3*sqrt(13) + 67374 Simplify (sqrt(150)/(sqrt(6) + (sqrt(6) - sqrt(18)/sqrt(3)) + sqrt(6)))/sqrt(5) + 3 + 2. sqrt(5)/2 + 5 Simplify (1*(sqrt(76) - 5*(sqrt(76) - (sqrt(76) - (-2*sqrt(76) - sqrt(76)))) - (sqrt(76)*2*-5 - sqrt(76)))/(sqrt(256) - -4*sqrt(256)*-1))**2. 1539/64 Simplify -6*((sqrt(608) + sqrt(38))/sqrt(2) + sqrt(133)/(sqrt(7)*2) + -5). -33*sqrt(19) + 30 Simplify -2*((sqrt(13) + sqrt(117) + 0 + -5)**2 + (5*sqrt(1053)*1)**2). -53116 + 80*sqrt(13) Simplify (5 + -3*(1 + 2 + sqrt(208))*-5)**2. 6000*sqrt(13) + 49300 Simplify (5*(0 + sqrt(242) + 1*(sqrt(242) + -1) + 2))**2. 1100*sqrt(2) + 24225 Simplify (5 + 2*sqrt(63) - (sqrt(63) + (sqrt(63) - (sqrt(63) - sqrt(630)/(sqrt(30)/sqrt(3)))))**2) + (1 + sqrt(252)/sqrt(4) + -5)**2. -168 - 18*sqrt(7) Simplify ((sqrt(3136)*-1)/sqrt(7))**2 - (sqrt(112) + 0)*-2. 8*sqrt(7) + 448 Simplify ((sqrt(342) - -1*(1*sqrt(342) - sqrt(342) - sqrt(342)))/sqrt(9))/((sqrt(42)/sqrt(3))/sqrt(7) - (-6*sqrt(8) - sqrt(2))). 0 Simplify (-2*sqrt(143)*-4 - sqrt(143) - 4*-2*sqrt(143))/(-3*(sqrt(44) - sqrt(176))). 5*sqrt(13)/2 Simplify 2*(sqrt(70)/(2*sqrt(2)))/(sqrt(20) - sqrt(180)) + 0. -sqrt(7)/4 Simplify (5*-2*sqrt(143) + (-2*sqrt(143) - sqrt(143))*-1)/(sqrt(539)*3*-4). sqrt(13)/12 Simplify ((4 + -1*sqrt(128))*-5 + -2 + -3)**2. -2000*sqrt(2) + 3825 Simplify (((0 + sqrt(19) + sqrt(19))*-6)**2 - (-4 + (sqrt(76))**2)) + 5. 2669 Simplify (-6*(3 + sqrt(1100)*2 + 3)*-4)**2. 138240*sqrt(11) + 2555136 Simplify 4*((sqrt(539) + sqrt(539) + (sqrt(539) - (sqrt(539) + -2)) + -1)*-5)**2*-6. -1294200 - 16800*sqrt(11) Simplify -5*((-4*sqrt(80) + 2 + sqrt(605))**2 + 4). -665 + 100*sqrt(5) Simplify 3 + -3*2*(sqrt(98) - (-2*(sqrt(98) + (sqrt(98) - (sqrt(98) + -1))) + sqrt(98))**2). 126*sqrt(2) + 615 Simplify ((-2*sqrt(153)*-1*-4)/(sqrt(900)*-2*3))**2. 68/225 Simplify (sqrt(95)/sqrt(5))**2 + 5 + -3 + (sqrt(684) + 5)*2. 31 + 12*sqrt(19) Simplify (0 + -5*6*1*sqrt(300))*-3*1. 900*sqrt(3) Simplify ((sqrt(324)*2)/sqrt(12) + (sqrt(81)*-2)/sqrt(3) + sqrt(27))/(2*sqrt(9)*-2 + (sqrt(54)/sqrt(3))/sqrt(2)). -sqrt(3)/3 Simplify -4 + sqrt(14)/(sqrt(128)*2 - sqrt(128)) + 3. -1 + sqrt(7)/8 Simplify 1*(sqrt(17) + sqrt(17) + -3 + sqrt(17) + -1 + (5 + sqrt(272))**2). 43*sqrt(17) + 293 Simplify (sqrt(11) + sqrt(1782)/sqrt(2) + 1*sqrt(176))**2 + 0. 2156 Simplify 2 + ((((-3 + sqrt(700))**2 - sqrt(700)) + sqrt(700) + sqrt(700))*3 - (4 + (sqrt(700) - (-2 + sqrt(700)))**2)). -150*sqrt(7) + 2121 Simplify 1 + 5*-5*(sqrt(153) - (0 + -1 + sqrt(153) + sqrt(153) + sqrt(153) + sqrt(153))). -24 + 225*sqrt(17) Simplify -2*(sqrt(2736) + 1)*4 + -1. -96*sqrt(19) - 9 Simplify (2 + (sqrt(208) + 1)*-1)**2 + (-5*(1 + sqrt(39)/sqrt(3))*-5)**2. 1242*sqrt(13) + 8959 Simplify ((sqrt(468)*-1 + 1 - sqrt(468)) + sqrt(468))*-2 + -4 + -2. -8 + 12*sqrt(13) Simplify (-1*(sqrt(35)/(sqrt(80)*-2) + 1 + -2))**2. sqrt(7)/4 + 71/64 Simplify 0 + (-3*(sqrt(1900) - (-2 + sqrt(1900))))**2 + -5*(3 + sqrt(19)*-3 + sqrt(19)). 21 + 10*sqrt(19) Simplify (-2 + sqrt(475)*-2 - -5*(sqrt(475) - sqrt(475)*-1 - sqrt(475)) - ((sqrt(475) - -5*sqrt(475)*-1) + (sqrt(475) + -1)*1))**2. -60*sqrt(19) + 17101 Simplify 5 + sqrt(18) + (sqrt(288) - (sqrt(288) + 1) - sqrt(288)) + (1*sqrt(72)*6)**2. -9*sqrt(2) + 2596 Simplify (sqrt(6300) + 1 - sqrt(6300))**2 + (-2*sqrt(35)/sqrt(5))**2*-1. -27 Simplify ((sqrt(132) - (sqrt(132) + 1*sqrt(132) + sqrt(132)))*-6 + (sqrt(132) - sqrt(132)*1)*1)/((sqrt(1452) + 1*sqrt(1452))*-5). -6*sqrt(11)/55 Simplify 0 + (sqrt(200)*1)**2 - ((sqrt(200)*1)**2 + (2*sqrt(32))**2). -128 Simplify -5 + (sqrt(425) - 2*sqrt(425)) + -2 - (-5*((sqrt(1377) - (sqrt(1377) + -2)) + -3))**2. -32 - 5*sqrt(17) Simplify (-2*(sqrt(7) + sqrt(56)/(sqrt(8) + sqrt(48)/sqrt(6) + sqrt(8))))**2 - (sqrt(112) + sqrt(112) + ((sqrt(112) + -1)*2)**2). -3620/9 + 24*sqrt(7) Simplify (sqrt(204) + (3*sqrt(204)*2 + sqrt(204) - sqrt(204)) + (1*sqrt(204) + sqrt(204))*6)/(sqrt(60)/(sqrt(10)/sqrt(2)*-3)). -57*sqrt(17) Simplify -2*(sqrt(180) - (sqrt(180) + (sqrt(180) - (1 + sqrt(180)))) - sqrt(180)) + -3 + -3. -8 + 12*sqrt(5) Simplify ((2 + (-1*1*sqrt(288) - (sqrt(288) + 2 + 3)))*-3)**2. 1296*sqrt(2) + 10449 Simplify (-3*(sqrt(11) + -5 + sqrt(99)) + -2)**2*3*-5. -26295 + 4680*sqrt(11) Simplify (sqrt(704) - (-2*sqrt(704) + -4)) + sqrt(77)/(sqrt(7) + sqrt(14)/sqrt(2) - sqrt(7)) + sqrt(22)/sqrt(18). 4 + 76*sqrt(11)/3 Simplify (((sqrt(171) - (1*(sqrt(171) - sqrt(171)*-1) + sqrt(171))) + sqrt(171) + sqrt(171)*-1*-2)/(-5*sqrt(324)*-5))**2. 19/22500 Simplify (sqrt(648)*-2 + sqrt(288)*5)/((sqrt(30) - sqrt(60)/sqrt(2))/sqrt(5) + (-2*sqrt(60))/sqrt(10)). -4*sqrt(3) Simplify (-5*(sqrt(1617)*3 - sqrt(1617)))/(-4*sqrt(539)*5). sqrt(3)/2 Simplify ((sqrt(272)*2 + -2 + sqrt(272))**2 + (sqrt(272)*-2)**2*-4)*1. -1900 - 48*sqrt(17) Simplify -1*3*(-1*sqrt(300)*-1 + -3)**2*6. -5562 + 1080*sqrt(3) Simplify ((sqrt(176) - 2*sqrt(176)) + 4 + -4)**2*5*4*3. 10560 Simplify 2 + 3 + (2*sqrt(132)*1)/(sqrt(48)/sqrt(4)*-6) + 0. -sqrt(11)/3 + 5 Simplify ((sqrt(125) + 3 + 1 - (sqrt(125)*-2 + -3)) + 2)**2. 270*sqrt(5) + 1206 Simplify 1 + (sqrt(119) + -2*sqrt(119))/sqrt(7) - (sqrt(833) + ((1 + sqrt(833) - sqrt(833))*3 + sqrt(833) + sqrt(833) - sqrt(833) - sqrt(833)))**2. -841 - 43*sqrt(17) Simplify 2 + (sqrt(63) + -1 + sqrt(63) + 5)**2 + ((sqrt(7)*-1 + 1)**2 - sqrt(1008)). 34*sqrt(7) + 278 Simplify (sqrt(2548) + sqrt(2548)*-1)/(sqrt(44)/(sqrt(11)*1)) + 2. 2 Simplify -3 + 2*(1 + sqrt(1872) + -5 + (sqrt(1872) - (sqrt(1872) + 2 + sqrt(1872))*5))**2. 5376*sqrt(13) + 240005 Simplify (sqrt(152) + -1*sqrt(152)*5 + sqrt(152))/((2*sqrt(64))/sq
{ "pile_set_name": "DM Mathematics" }
41817 -0.00007411 * 0.3 -0.000022233 Multiply -0.22 and 719478. -158285.16 What is the product of 0.2403299 and -265? -63.6874235 What is the product of 1207 and -5.095? -6149.665 Product of 14 and 0.0017616. 0.0246624 Work out -3.869999 * -0.1. 0.3869999 Work out 6112 * 1151. 7034912 197596.49 times 3 592789.47 Calculate -49385.9*4. -197543.6 Work out 17491639 * -15. -262374585 -0.01*2.07509 -0.0207509 -0.41*354407 -145306.87 -91783 * 1.6 -146852.8 -2.7*20.683 -55.8441 -0.2562937 times 3 -0.7688811 What is 0.01 times -18.459686? -0.18459686 234618360 * -4 -938473440 What is -52709 times 4140? -218215260 What is -4.03 times 318119? -1282019.57 What is the product of -313280 and -6.6? 2067648 598 * 5090 3043820 Work out 0.5670043 * 0.36. 0.204121548 -35572750 * -0.2 7114550 Product of -0.27 and -229956. 62088.12 Multiply 73.514 and -120. -8821.68 Multiply 4 and 100784.01. 403136.04 What is the product of -17 and 4100838? -69714246 Product of 260725 and 0.296. 77174.6 Work out -0.5 * 305155287. -152577643.5 Product of 0.183 and 4337. 793.671 -0.002 * -72183 144.366 What is the product of 0.1 and -86.1558? -8.61558 What is the product of -0.03 and -9380578? 281417.34 Product of 14.82716 and -2. -29.65432 -3167743.52 * -0.3 950323.056 -34888*-958 33422704 Calculate -0.629*-42.126. 26.497254 Work out 0.2 * -10739656. -2147931.2 73843 * 3316 244863388 Product of 1116 and -4835. -5395860 Work out 3789206 * 168. 636586608 What is the product of 2 and 2198.42? 4396.84 Work out -13191 * 29.63. -390849.33 What is -9.493 times -21725? 206235.425 0.758 * -31830 -24127.14 What is 13721 times 14? 192094 405.8599 times 0 0 -4 times -110.90222 443.60888 Multiply 106.38149 and 0. 0 14.38933 times -0.5 -7.194665 100.063 times -13 -1300.819 Multiply 1 and -8.28533. -8.28533 0.15 * 315171 47275.65 Product of 0.016255 and 258. 4.19379 Product of -2388 and 2618. -6251784 53422816*-0.3 -16026844.8 Calculate -384*11030. -4235520 What is the product of 0.083 and 424732? 35252.756 -0.1 * -210149291 21014929.1 -205.57 * 0.0308 -6.331556 10.923068 * 1 10.923068 Calculate -2.83413*0.62. -1.7571606 What is 134 times -5655371? -757819714 0.4 times 6776751 2710700.4 What is the product of -13.5250275 and 0? 0 Calculate -24138.68*-7. 168970.76 Work out -8050.92 * 23. -185171.16 Product of 370 and -88113. -32601810 Product of -32813.8 and -367.6. 12062352.88 -39463 * -7187 283620581 Calculate -14*981642. -13742988 Work out 2.824673 * -380. -1073.37574 118234 times 0.2 23646.8 Work out 26561 * 1101. 29243661 What is 4259806 times -0.7? -2981864.2 What is 532182 times 4.78? 2543829.96 Work out 1627 * 23.79. 38706.33 -1072 times -12.942 13873.824 Work out 180.2 * -15240. -2746248 What is 0 times 11.1277185? 0 What is -717.9 times -103.1? 74015.49 Product of -301875 and 16. -4830000 9044423 * 0.05 452221.15 Multiply -5421420 and -0.12. 650570.4 Product of -55342 and 44. -2435048 Work out 28755 * 8. 230040 Work out -593 * -17690. 10490170 Work out -0.6 * -1219401.6. 731640.96 Product of -57 and -444.24. 25321.68 Product of -2 and -43.482. 86.964 Multiply 0.2 and 17262137. 3452427.4 -365 * 31778 -11598970 What is -0.1 times -56.4523? 5.64523 Multiply 1 and 4909301. 4909301 1.0668 * 4520 4821.936 Calculate -115*347421. -39953415 Calculate 0.0896*502474. 45021.6704 What is the product of 2 and -639721? -1279442 What is -84.2161 times 516? -43455.5076 Multiply -26.86 and -3548. 95299.28 What is the product of -0.2 and 17281.9194? -3456.38388 Multiply -64798640 and -4. 259194560 -10.758 times 133 -1430.814 4 times 1779147.3 7116589.2 Calculate -60347.3*-30. 1810419 Work out 22637.4 * 6.01. 136050.774 Product of -0.0102 and -204. 2.0808 What is 28512.8 times -9.25? -263743.4 Calculate -0.007*-0.50452. 0.00353164 -149 * -516652 76981148 Product of -2 and -122336.3. 244672.6 0.1193419*0.16 0.019094704 -249.825128 times -0.5 124.912564 Work out -1129608 * -0.06. 67776.48 Product of 67 and 6307.7. 422615.9 2.0678 times -897 -1854.8166 -358309.88*0.4 -143323.952 What is -349 times -11998? 4187302 Multiply 1850 and -10.86. -20091 552 times 5472 3020544 What is the product of -0.01740235 and 0.03? -0.0005220705 Multiply -0.061183 and 18185. -1112.612855 0.3384*-75966 -25706.8944 10.6*20226 214395.6 Product of 36.2 and -594314. -21514166.8 Product of 6386 and -16.567. -105796.862 Multiply -0.049 and -0.53666. 0.02629634 -1.4*1406.8256 -1969.55584 723.03 * -59 -42658.77 -3.1 times 2.42328 -7.512168 1856.7 times -19281 -35799032.7 Product of -129912.6 and -18. 2338426.8 15344 * 1025.1 15729134.4 Work out 1147265 * 82. 94075730 29660*-0.031 -919.46 Product of -15165.02 and -50. 758251 Product of 4 and 1079982. 4319928 Work out 0.055 * 26179. 1439.845 -3 times 19572738 -58718214 What is -20.532 times -418? 8582.376 Multiply 1.347 and 0.136. 0.183192 -4*-5952054.9 23808219.6 Product of 59802520 and -1. -59802520 7.55*-2740 -20687 What is 146860389 times -2? -293720778 Work out -3.1466 * -2.1. 6.60786 -107705*14 -1507870 What is the product of 3.32 and 22258? 73896.56 Product of 1532160 and -2. -3064320 -0.1540452 times 0.15 -0.02310678 What is the product of -1137 and -2494.9? 2836701.3 Calculate 57965*-3153. -182763645 Calculate -4*20816444. -83265776 Calculate 6226*2.6887. 16739.8462 907478 times 0.136 123417.008 What is the product of 52568 and 7208? 378910144 -470587398 * 0 0 -74 times -368768 27288832 What is -2240528 times -5.6? 12546956.8 Product of 3526078 and -0.5. -1763039 Calculate -0.0767*-7166. 549.6322 7 times 0.037429 0.262003 Product of -1 and -365261.3. 365261.3 Calculate -0.1*-2284.1126. 228.41126 What is the product of 238.66 and 4.097? 977.79002 -4 * -8617082 34468328 -334831*-0.0419 14029.4189 1507365*-0.5 -753682.5 Calculate -46576*75. -3493200 0.4 times 35667746 14267098.4 Product of 32.8 and 58951. 1933592.8 Work out 170.36 * -7340. -1250442.4 What is -70 times -19174.03? 1342182.1 What is 2434 times -0.24772? -602.95048 Calculate -3*-3.006738. 9.020214 Multiply 495547 and -1.5. -743320.5 3032388*-32 -97036416 Product of 53530 and -218. -11669540 Product of 3070.8 and -4746. -14574016.8 -0.17 * 76.186 -12.95162 35 times 11.173341 391.066935 61279535 times 0.2 12255907 -2.18007*-0.4 0.872028 10.049281*-5 -50.246405 Multiply -0.2 and -7282037. 1456407.4 4.00337*668 2674.25116 Work out -44.01937 * -0.6. 26.411622 32.5816*-10 -325.816 What is the product of -7 and -21030358? 147212506 Product of 655 and -4924. -3225220 -0.03 * 3785668 -113570.04 What is the product of 44 and 104229? 4586076 -0.1*-331.00881 33.100881 Calculate 113163897*4. 452655588 What is 18499.6035 times 0.1? 1849.96035 Multiply 0.874 and 0.65489. 0.57237386 What is -231.05 times 0.06984? -16.136532 -3.117434 * 0.5 -1.558717 Multiply -1 and -65849621. 65849621 -3*-73069475 219208425 Multiply -21501373 and 11. -236515103 Product of -2195698 and -0.1. 219569.8 -6942 * -19235 133529370 What is the product of -0.4151116 and -33? 13.6986828 Work out 1.01954 * 53.49. 54.5351946 Calculate 1.7493*811. 1418.6823 Calculate -697332*-0.02. 13946.64 0.12 times -237.602 -28.51224 3.64*-351.926 -1281.01064 -0.045*-2.24047 0.10082115 Calculate -0.01*-40.925168. 0.40925168 Calculate 1.6*21940647. 35105035.2 0.0837*0.06067 0.005078079 Calculate 0*-10.55496. 0 Calculate 6*1347.98. 8087.88 -3.3*-1029134 3396142.2 -0.919368 * -2 1.838736 Multiply -57.561 and 0.33. -18.99513 Work out 2 * 2645190. 5290380 Multiply -14284.257 and 1. -14284.257 What is the product of -16 and 1469.7753? -23516.4048 Calculate 4830354*-0.01. -48303.54 Multiply 5334 and 0.367. 1957.578 Product of 0.2 and 359.2623. 71.85246 What is -0.3 times 722009? -216602.7 Product of -1.38485 and -0.009. 0.01246365 What is 0.2 times 103144739? 20628947.8 Multiply -17002.6 and 92.9. -1579541.54 Calculate 2855996.8*5. 14279984 Calculate 160*46141. 7382560 Work out 2034 * 0.04746. 96.53364 Multiply 10 and 569874. 5698740 Product of -0.076394 and 0.086. -0.006569884 8757 * -45962 -402489234 Calculate 0.1*42356942. 4235694.2 0.3 times -20960461 -6288138.3 Product of 549 and -1.003. -550.647 Work out 0.49381 * 861.1. 425.219791 What is 3 times 24506765? 73520295 Calculate 3.96*102. 403.92 Calculate 38450215*0.05. 1922510.75 Multiply -4038 and -23.8. 96104.4 Work out 2.9 *
{ "pile_set_name": "DM Mathematics" }
+ 1077 + 46 = t, -c*t - 1890 = -5*f. Calculate the remainder when f is divided by 9. 7 Let k(z) = -39*z - 7. Let f be k(-3). Calculate the remainder when 1*2 + f/8*4 is divided by 6*(-5)/(-3)*2. 17 Let f = 8792 - 8651. Calculate the remainder when 1824 is divided by f. 132 Let f(i) = -19*i + 345. Suppose 4*n + 4*v - 56 = 0, 0 = 2*n + 3*v - 12 - 13. What is the remainder when f(n) is divided by 3? 1 Suppose -4*y - 2*j - 84 = 0, 98 = -5*y - 3*j + 4*j. What is the remainder when (304/y)/(6/(-60)) is divided by 31? 28 Suppose -81*v = 1429 - 13498. Let w(o) = -o**3 - 4*o**2 - 4*o - 5. Calculate the remainder when v is divided by w(-4). 6 Let u = 13230 + -11320. Calculate the remainder when u is divided by 633. 11 Let u = 1204 - 1093. Calculate the remainder when 420 is divided by u. 87 What is the remainder when 298 is divided by ((9/3)/(-3))/(1/(-149))? 0 Let k(d) = -6456*d**3 + d**2 - 1. Let l be k(1). Let j(b) = 78*b - 310. Let t be j(4). What is the remainder when 88 is divided by l/(-144) + t/12? 43 Let f(k) = k**2 - 3*k + 4. Calculate the remainder when -6 - 13508/(-572)*13 is divided by f(3). 1 Suppose 88*u - 99*u + 16478 = 0. What is the remainder when u is divided by 75? 73 Suppose -2*s + 27 + 7 = 0. Suppose -5*u + 474 = -1401. Let h = 493 - u. What is the remainder when h is divided by s? 16 Suppose -3*w - 11 = -5*o - 6, -5*w = o + 27. Calculate the remainder when 8*((-21)/w + 4/5) is divided by 16. 8 Suppose -4*y = -3*o + 892, 129*o - 131*o = 2*y - 562. Calculate the remainder when 1153 is divided by o. 1 Let r be (-1 + 2 + -6)*-5. Let k = 42 - r. What is the remainder when (-2)/((-3)/45 - 0) is divided by k? 13 Calculate the remainder when 36064/308 - (-1)/(-11) is divided by 34. 15 Suppose -11 = -y - 13. Let n be ((-70)/15)/(y/6). Calculate the remainder when ((-469)/n)/((-1)/2) is divided by 35. 32 What is the remainder when 558 is divided by (-152)/(-1) - (39 + -32)? 123 Let j(p) = -3*p**3 + 4*p**2 + 6*p + 2. Calculate the remainder when 268 is divided by j(-2). 28 Let y(v) = 3 + v**3 - 6*v + 4*v - 6*v - 2*v**2. Let l be y(4). Suppose c + 2*i = -0*c + 15, l*i = c + 5. Calculate the remainder when 25 is divided by c. 4 Let q(w) = -w**2 + 3*w - 2*w + 61 - 55. Let p be q(-6). Let g = p - -45. Calculate the remainder when 42 is divided by g. 6 Let n(f) = -5*f**3 - 7*f**2 + 38*f + 184. What is the remainder when n(-7) is divided by 319? 14 Let h = -1718 + 1731. Calculate the remainder when 155 is divided by h. 12 Suppose 54*n - 101906 = -42776. Suppose -2*b = b - 4*d - 41, -5*b + d + 91 = 0. What is the remainder when ((-10)/(-15))/(10/n) is divided by b? 16 Suppose 5*h - 4*h + 3*x + 7 = 0, 3*h + 5*x + 9 = 0. Let s(c) = c**2 - 55 + h*c + 4*c + 10 + 0*c. What is the remainder when 186 is divided by s(6)? 24 Let b = -167 + 169. Suppose -4*j = b*u - 74, -9*j + 5*j + 128 = 4*u. Calculate the remainder when u is divided by 7. 6 What is the remainder when 38308 is divided by (-40)/300 - (-4925)/375? 10 Let r(w) = 5*w**2 - 14*w + 2. Suppose -4*v - 6 = -2*a, 3*a - 7 = -0*v + 4*v. Let o be 6 - 9 - 9/v. Calculate the remainder when r(o) is divided by 26. 20 Let m(l) = 14*l**2 + 3*l**3 + 23*l + 14*l - 2*l**3 - 36*l + 24. Calculate the remainder when 20 is divided by m(-14). 0 Let b = 114 - -72. Let m be -2 - (b/(-15) + 2/5). Suppose m*y = 5*y + 45. What is the remainder when y is divided by 6? 3 Let h(i) = -5*i**3 + 4*i**2 - i - 14. Let z be 36/(-16) + (-15)/20. What is the remainder when h(z) is divided by 40? 0 What is the remainder when 11328/516 - (-40)/860 is divided by (-1 - 0) + (10 - -2)? 0 Suppose -30 = 6*c - 96. Let j(b) = b**3 - 14*b**2 + 43*b - 21. What is the remainder when j(c) is divided by 31? 27 Let s = 65913 - 42858. What is the remainder when s is divided by 11? 10 Let z be 0 - 0 - (-1 - -444). Let k be z/(-7) - 36/126. Let p = 125 - k. What is the remainder when p is divided by 9? 8 Let x = -176 - -178. Suppose x = t, -3*n + 6*t - 5*t = -40. Calculate the remainder when n is divided by (4 + -2)/(2/3). 2 Suppose -16*q - 212*q = -6*q - 9768. Calculate the remainder when 2151 is divided by q. 39 Suppose -a + 2*p - 4 = 0, -4*a + p - 24 = -8. Let w(k) = -3*k - 12. Let h be w(-5). What is the remainder when 118 is divided by h*(a + 3) - -43? 38 Suppose -13*w = 21*w - 251 + 13. What is the remainder when w is divided by 6? 1 Let r(f) be the second derivative of f**4/4 + 8*f**3/3 + f**2/2 - 19*f. Let m be r(-5). What is the remainder when 37 is divided by -1*(-99)/6*m/(-6)? 4 Suppose 2*y - 343 = -v + 254, -4*y + 1206 = -2*v. Calculate the remainder when y is divided by 171. 129 Let p = 44562 + -44552. Suppose 290 = -2*a + 7*a. What is the remainder when a is divided by p? 8 Suppose -3*s + 95 = y - 10, 0 = 2*y - 3*s - 192. Calculate the remainder when 884 is divided by y. 92 Suppose -15*y - 1384 = 491. Let c = y + 98. Let x = c + 42. Calculate the remainder when 37 is divided by x. 7 Suppose -3*n = -5*s - 16, 3*s - 2*s = 5*n - 34. Let t(g) = 16*g + 96. What is the remainder when t(n) is divided by 30? 28 Suppose -13*u - u + 3640 = -7*u. Calculate the remainder when 1561 is divided by u. 1 Suppose -4*k + f - 171 = 187, -5*k + 3*f = 451. Let n = k + 91. What is the remainder when 131 is divided by 0 - -47 - (n + 1)? 43 Let c = -7352 - -7592. What is the remainder when 500 is divided by c? 20 Let m = -8834 - -9317. Calculate the remainder when m is divided by 186. 111 Let z(n) = 57*n**2 - 100*n + 44. What is the remainder when 3883 is divided by z(2)? 67 What is the remainder when (-2684)/(-18) + 60/216*(-34)/85 is divided by (-70)/3*30/(-20)? 9 Suppose 1710 = 5*l - 2*z + 1034, 6 = -2*z. Suppose 0 = d + 2*u - 3*u - 34, 5*d - 3*u = 180. What is the remainder when l is divided by d? 17 Let l(h) = -26*h**3 - 17*h**2 + 25*h**3 - 16*h + 0*h + 19. Suppose m + 3*m = 444. Calculate the remainder when m is divided by l(-16). 16 Let u be ((-3)/(3/4))/(-1). Suppose 4*m + 4*r + 20 = 0, -u*r + 2*r - 10 = -3*m. Suppose m = 5*x - 4*x - 15. Calculate the remainder when 43 is divided by x. 13 Let i = -12 + 16. Suppose -4*k - i*t + 172 = 0, 38 = 4*k - 4*t - 126. What is the remainder when 166 is divided by k? 40 Suppose 0 = -134*v + 312820 + 214872. Calculate the remainder when v is divided by 54. 50 Let m = 18946 + -18908. What is the remainder when m is divided by 15? 8 Let g be 12 + -5*6/(-15). Suppose g + 30 = 2*i. Let b(v) = -v + 76. Calculate the remainder when 158 is divided by b(i). 50 Let c be (6 - (-8)/4) + 18/(-6). Suppose -23*a + 2052 = -c*a. Calculate the remainder when a is divided by 30. 24 Suppose 3*f - 11 - 4 = 0. Suppose -2*y - 2*b = 8, -4*y - 52 = -f*b + 9. Let n(h) = -10*h - 20. What is the remainder when n(y) is divided by 24? 22 Let o = -28 - -78. Let a(l) = 3*l**3 - 32*l**2 + 71*l - 38. Calculate the remainder when a(9) is divided by o. 46 Let h(z) = -2*z**2 - 144*z - 76. Let v = 94 - 4. Calculate the remainder when h(-66) is divided by v. 86 What is the remainder when 75 is divided by 1 + -8 - 13/((-143)/319)? 9 Suppose -4*q = 3*d - 102 - 129, 3*q - 2*d - 169 = 0. Let b be (1 - 2)*58 - 0. Let i = b + 87. Calculate the remainder when q is divided by i. 28 Let x = -10686 + 10703. What is the remainder when 97 is divided by x? 12 Suppose 21*q = 20*q + 4. Suppose -s + 79 = q*s - t, 0 = 2*t + 8. What is the remainder when 28 is divided by s? 13 Suppose 5*p - 141 = -g, 8*p - 6*p + 457 = 3*g. Calculate the remainder when g is divided by 7. 4 Calculate the remainder when 129 + (14 - 23) - (-4 - -6) is divided by 38. 4 Let w = -171 - -178. Suppose 54 = w*x - 261. Calculate the remainder when x is divided by 8. 5 Let w = -21999 + 22156. What is the remainder when 2975 is divided by w? 149 Suppose 4*a + 71 = -293. Let z = a + 95. Suppose k - z*k = 5*o - 89, o - 71 = -2*k. Calculate the remainder when k is divided by 21. 17 Suppose 5*w + 3*v - 414 = 46, 184 = 2*w + 4*v. Let n(h) = h**2 + 8*h. Let t be n(-7). What is the remainder when w is divided by (12/5)/(t/(-70))? 20 Suppose 96*i + 506 = 142*i. Let l(h) = 3*h**2 + 5*h - 6. What is the remainder when l(4) is divided by i? 7 What is the remainder when (-4)/(-18)*-12*((-40337)/22 - -11) is divided by 221? 219 Let r(y) = -5*y + 4 + 8*y + 4*y + 2. Suppose -14*m + 232 = -10*m. What is the remai
{ "pile_set_name": "DM Mathematics" }
12)/(-10))/(-2)). -4/3 Calculate 8/20*((0 - 172/28) + 6). -2/35 Evaluate (-20)/22 - 6912/528. -14 What is -10 + (-76)/(-7) + (-870)/966? -1/23 Evaluate (-104)/12*3 + 1*(-46 - -44). -28 (33/44)/(49/28) 3/7 Calculate (-2)/(-4) - ((-14)/(-2) - (-78)/(-12)). 0 What is (-2)/25*(-8825)/10590? 1/15 Evaluate (-14 + 24/(-12)*4)/1. -22 Calculate (1 - (0 + 6))*152/95. -8 Calculate (1 + (-9)/14*2)*27/18. -3/7 Evaluate (-5)/(0 + -1) + (-11 + 16 - 1). 9 What is the value of -3*2 - (-3)/8*(-736)/92? -9 What is the value of -2 + -8 - (-1921)/935*5? 3/11 Evaluate -38 - -53 - (1 - -22). -8 What is the value of 2*7 - 52136/3773? 2/11 Evaluate (8/14 - 0)*(-35)/(-70). 2/7 What is 11 + 13 - -6*(4 + -5)? 18 Calculate 23/((-1311)/76)*-15. 20 -23*(20 + -32 + 13) -23 Evaluate 1/((-84)/(-924)*-1*(1 + -2)). 11 (-20)/(-6)*(-58)/(-580) 1/3 Calculate 134/(-816) + (-55)/(-440). -2/51 Calculate 1/((5 + (3 - 3))/(174/435)). 2/25 Evaluate 9/584*18 - (259/28 - 9). 2/73 What is ((-2331)/(-308))/(-111)*(-8)/6? 1/11 Evaluate 3*80/300*5/(-2)*-10. 20 Calculate 4/42 + ((-7)/147)/(-1). 1/7 (-17 - -20 - (1 - 4)) + 189/(-36) 3/4 What is (14/11)/(78/429)? 7 What is (-9)/90*220/(-8)? 11/4 What is the value of 15/(-18)*927/(-515)? 3/2 Calculate (-475)/700 + 1/4 - (-176)/(-14). -13 0 - -8 - 343/42 -1/6 Calculate (-17 - -24)/(56/48). 6 What is the value of ((-17)/2)/((969/(-34))/57)? 17 Calculate (0 - 50/(-2))*(-320)/(-800). 10 Calculate ((-16)/48)/(1/2 - 1). 2/3 35/(-546)*(-4)/5 2/39 Calculate (-722)/(-26) - (-1662)/7202. 28 What is the value of 24/26*(-21)/18*(-351)/63? 6 What is the value of (-34)/5 + 6 + ((-140)/(-75))/4? -1/3 Calculate ((-5)/((-60)/(-27)))/((306/48)/17). -6 Evaluate 61965/2592 - (-6)/64. 24 Evaluate ((-11)/((-3300)/280))/7. 2/15 Evaluate (-3712)/(-377) - (-46)/299. 10 (1950/(-675))/(10/(-45)) 13 Evaluate (-240)/12 + 35 + 0. 15 What is the value of -57*11/(-209)*2*3? 18 Evaluate (-14 - (19 + -20))/((-2)/((-2)/(-1))). 13 Evaluate (-12)/10*835/(-668). 3/2 Calculate (-636)/530*(-10)/3 + -5. -1 Evaluate ((-5)/(-2))/(90/648). 18 What is the value of (9*55/66 + -4)*6/3? 7 (-280)/(-32) - (5 + (-105)/20) 9 What is 24/(-324) - (-3241)/378 - 4? 9/2 What is the value of (7 - 8 - -2)*5/(-40)? -1/8 What is the value of (2/((-4)/3))/((-306)/(-24) - 9)? -2/5 What is the value of ((-216)/(-32))/(-27) - 0/3? -1/4 Calculate (0 + -1)*435/(-2755). 3/19 What is ((-2185)/138 - -10)*((-1)/5 - 0)? 7/6 What is the value of 6 - (((-9)/(-21) - 0) + 150/42)? 2 What is -3 - -6 - (-105)/(-35)? 0 What is 20/210*4 - 2/(-7)? 2/3 What is the value of (-8)/22 + -970*(-9)/15840? 3/16 What is the value of 952/(-280) + (-1480)/(-450)? -1/9 Evaluate (-14)/8 - (8/(-11 + 3))/1. -3/4 Evaluate (2 - (2 - 8)) + (-408)/52. 2/13 Evaluate ((-118)/(-28) - -2) + (-8734)/1588. 5/7 What is the value of ((-1 - (-564)/(-66)) + 9)*7/(-21)? 2/11 What is 25 - ((-44)/11 + 8) - -8? 29 Evaluate 6/(-8) + (-19494)/(-1064) + -17. 4/7 What is 1/(-12) + (-4439)/2316? -2 Evaluate (3 + (20 - 22))*-23. -23 What is the value of (2/(-6))/(157/471)? -1 What is ((-24)/28)/(12 + (-1045)/77)? 6/11 Evaluate 154/(-4)*145/(45675/(-270)). 33 What is (-460)/(-1380)*(0 + -1)/((-1)/30)? 10 Evaluate (-840)/(-1176) + (-4)/(-14). 1 What is (225/50 + 6/(-4))/1*-1? -3 3766/5649*((-30)/16)/5 -1/4 Evaluate 0 - 0 - 1 - (63 + 34918/(-544)). 3/16 Evaluate 41/((-369)/54) + 22. 16 Calculate (2/(-9))/((-19)/4617*-459). -2/17 What is 12*((-78 - -86) + 111/(-14))? 6/7 (26 - 14) + -16 + -9 -13 Evaluate 6/(-4) + (-25)/(-15) + 4/(-312). 2/13 What is the value of (-1992)/240 + 16 + 0/2 + -8? -3/10 What is ((-47)/(-47))/(7/6*6/14)? 2 Evaluate 22704/(-858) + (-96)/(-208). -26 What is 7 + -18 + 7 - (7 - 2)*3? -19 Evaluate (-21 - 14868/(-700))*-10. -12/5 Evaluate 8/14*16303/(-274). -34 What is (-103)/12*-2 + (-309)/1854? 17 What is the value of 4/(-150) + (-1320)/(-12000)? 1/12 (-48)/(-128) + (-1)/(-1) + 2233/(-1496) -2/17 What is the value of (-29 + 30 - -2*(-1)/(-4))*-6? -9 (27412/2178 - 12) + 8/(-22) 2/9 What is the value of (-66)/((-18)/(-3))*((-2)/(-1))/2? -11 Evaluate 3/(-24)*(-220)/(-44)*-4. 5/2 What is the value of (-11 + -6 - -5*1)*(-1020)/(-408)? -30 (-17 + 11)*2/(-186) 2/31 What is the value of 20/16*(-110)/(-2475)? 1/18 Calculate 22/(-180) - ((-2624)/(-288))/(-41). 1/10 Evaluate (1 - -1)*14/308 + (-1062)/66. -16 (-12)/(14 + (-1012)/69) 18 (14/28*-3 - -1)*76/2 -19 (((-4)/6)/(22/(-6)))/(548 + -546) 1/11 What is the value of (3/33)/((12/(-33))/(-4))? 1 Evaluate -14 + 22 + 51/(-6). -1/2 Calculate (-8)/(-16 - (-13 + -1)). 4 Calculate (-2)/((-48)/(-42))*(-3 + (2 - 3)). 7 Evaluate (-1)/(6/(-92)) + -23 + 1072/67. 25/3 What is the value of (-1620)/54 - (13 - 73)? 30 666/240 + 2/(-5) + (-406)/174 1/24 Calculate (-3 - -5 - -55)*(-7)/(-21) + -8. 11 4/42 + -5 + (-3)/756*-1425 3/4 1/(261/(-27) - -10) - 3 0 What is 31/(-496)*(-432)/513? 1/19 What is the value of 3 + 8 + 16175/(-1475)? 2/59 Evaluate (-1763)/(-1066) - ((-6)/4 + 3). 2/13 What is (-18)/390 - ((-2)/10 + 0)? 2/13 What is the value of (-10)/25*10/18 + 909/81? 11 Evaluate ((-6)/15)/(104/20*5/10). -2/13 0 + (-306)/17 + -7 -25 Evaluate ((0 - 1) + 0)/(-36 + 16709/465). 15 Evaluate (-6208)/352 - (-19 - -1). 4/11 5490/(-1342) - (-3 + -1) -1/11 Calculate -9 + 52/4 + -13. -9 Evaluate (20/25)/((-12)/(-120)). 8 What is the value of 2/(9/(-2) - (272/(-17) - -11))? 4 Calculate 2/((-32)/(-22)) + (1 - (-201)/(-67)). -5/8 What is the value of -12 + (-5)/(-16)*(70 - 26)? 7/4 Evaluate ((-9)/6*(-8)/(-18))/((-1)/(-3)). -2 What is the value of (-20)/(2/9*(14 - 200/10))? 15 Calculate (-5)/75*-5*(-20 + 20). 0 What is (216/96)/1 + (-1080)/(-32)? 36 What is (-6)/26 + 38/52? 1/2 Evaluate (-3 + (-94)/(-28))*108/45. 6/7 What is (-19)/190 - (-65)/150? 1/3 Evaluate (9 - (-1968)/(-200) - -1)/((-6)/(-5)). 2/15 Evaluate 4/((-108)/(-9))*(-2)/(-8)*-6. -1/2 Evaluate (-2)/3 + (-224)/96*1. -3 Evaluate (-1)/3 + 1700/2805. 3/11 (-984)/3157*(-143)/39 8/7 20 + -17 + 7 + -7 3 Evaluate (-40)/(-35)*1190/17000. 2/25 Calculate ((-6)/20)/((-42)/(-60)). -3/7 Evaluate 0 + 1 + -1 - 163/(2282/(-140)). 10 What is the value of 2*(-3)/(-30) - 351/780? -1/4 What is (-1080)/(-24) + 0 - 59? -14 (3 - -3) + ((-31)/39)/((-288)/(-2160)) 1/26 Evaluate 0 + (-24)/52 - 488/(-832). 1/8 What is the value of 1*2*(56/30 - 16/(-120))? 4 14/(-2) - -4*(-565)/(-320) 1/16 What is the value of (1106 + 12)/26 - 78? -35 What is the value of ((-7)/(-1) + -8)/7? -1/7 What is (-9)/(-5) + (-228)/152? 3/10 What is 1/(-3)*-1 - (-22)/((-6600)/(-20))? 2/5 What is ((-13392)/612 - -22) + 140/(-34)? -4 Calculate -10 - (8 - (-4080)/(-225)). 2/15 What is 8/(-1600)*-5*5? 1/8 (24 + (-172)/8)*6 15 What is the value of (18/4)/(15 + -18) + (-2)/4? -2 Calculate 31/((-248)/48) - -17. 11 What is the value of (-110)/(-5) - (9 - -1)? 12 Calculate (-2)/(30*-1) + (-5963)/9345*-14. 9 What is (5/(-200)*8)/((-3)/(-75))? -5 What is the value of ((-33840)/(-2538))/(4/6)? 20 (33 - 45)/(2 + 0) -6 What is (-1)/1*18 - 0/62? -18 Calculate (-558)/31 - (7 - -5)*(-12)/(-16). -27 Evaluate 2/(-38) - (-8)/((-4712)/(-14167)). 24 What is the value of (-9 + 4393/483)*6? 4/7 Evaluate ((-170)/55 - -2)/(62 - 64). 6/11 Calculate ((-3627)/(-104))/(6/4) + -14. 37/4 Evaluate (32/(-21) - -2)/(150/84). 4/15 What is (104 - 8)/(-24) + 11 + 2? 9 What is 14/4 - (75/(-6))/(-25)? 3 Calculate (-167)/(-5344) - (-3757)/(-416). -9 What is (-144)/(-128)*(-3 - 123/(-27))? 7/4 What is the value of 213/90 + -22*(-30)/(-3300)? 13/6 -2*21/56*(3 + (-112)/35) 3/20 Calculate (1568/336)/((-20)/(-24) - 1/2). 14 What is the value of 1 + (-4)/(-18)*(-153)/17? -1 What is (12/(-30) + (-48)/(-70))/(5/(-14))? -4/5 Calculate (-2 + 0)*((-128)/(-56) + 2/(-7)). -4 Calculate 13 - (-70)/((-90)/9). 6 Calculate (48 - 12090/217) + 8/1. 2/7 Evaluate (17 + (-1426)/(-575)*-5)/((-2)/10). -23 (-42)/(-3) - (115 - 92) -9 What is the value of 120/(-64)*(-272)/51? 10 (((-154)/(-33))/((-8)/6))/(33 + -31) -7/4 What is 20/(24/((-432)/(-45)))? 8 Evaluate (107800/128)/49 + (-20 - -3). 3/16 Calculate (6/(-4))/(225/25) + 28/42. 1/2 What is the value of (-20)/(-240) - (-584)/(-96)? -6 Calculate (-2242)/(-1140) + 0 - ((-1)/(-6) + 0). 9/5 What is the value of 63/369*(-12)/(-15)*20/(-56)? -2/41 What is the value of ((-24)/(-14))/2 + 43/7? 7 What is (2/20)/(14/112) + 48/(-160)? 1/2 Calculate (-1
{ "pile_set_name": "DM Mathematics" }
5 + 0*o + 2*o**2 + 0 + 0*o**p. Give a(2). 4 Let d = -21 + 15. Let o(g) = -g**3 - 6*g**2. Determine o(d). 0 Let q(w) be the third derivative of -1/6*w**3 + 0*w - 2*w**2 - 5/24*w**4 + 0. Let s = 0 + -1. What is q(s)? 4 Let w(g) be the second derivative of -g**7/840 - g**6/90 - g**5/40 + g**4/24 + g**3/2 - 2*g. Let h(u) be the second derivative of w(u). Determine h(-3). 1 Let m(d) = -2 + d + 7 + 1 - d**3 - 6*d**2. Calculate m(-6). 0 Let j = 2/21 + 1/14. Let h(r) be the second derivative of j*r**3 + 2*r + 0*r**2 + 0. Calculate h(-1). -1 Let u(t) = -t**2 + 26. Let f be u(-5). Let o(c) = -c**2 - 1 - 2*c**2 + 7*c**2. Determine o(f). 3 Let x(z) be the first derivative of 2 - z + 2*z**3 + 1/2*z**2. Calculate x(1). 6 Let w(k) = k**2 + 5*k - 2. Let s(n) = 2*n**2 + 5*n + 2. Let o be s(-3). Suppose o*i + 20 = -0*i. Determine w(i). -6 Let p(i) = 9*i - 1. Let h(u) = 2*u. Let z(o) = 6*h(o) - 2*p(o). Let g(c) = -5*c + 2. Let w(k) = -7*g(k) + 6*z(k). Calculate w(-2). 0 Let z(i) = i**3 - i**2 - i - 1. Let o(l) = -6*l**3 + 9*l**2 + 10*l + 2. Let b(t) = -o(t) - 5*z(t). Let j be b(5). Let f(m) = 5*m - 1 - j*m + 2. Calculate f(-5). -9 Suppose -2*d + 3*z - 4*z = -9, 5*d = 5*z. Let q be ((2 - -2) + -2)/1. Let t(i) = 8*i + 5*i**q - 4*i - 6*i**2. Give t(d). 3 Let o(c) = -4*c - 4 + 3 + 7*c. Give o(-1). -4 Let h(s) be the third derivative of 1/6*s**3 + 0*s + 1/8*s**4 + 0 - 2*s**2. Calculate h(-3). -8 Let c(j) = j**3 + 6*j**2 - j - 2. Suppose -5*w - 21 - 54 = 0. Let b = w + 9. Calculate c(b). 4 Suppose 4*f = -3*j - 10, j = -3*f - j - 7. Let d(g) = -2*g**2 + g + 1. Determine d(f). -2 Let q(n) be the first derivative of -n**4/4 + 2*n**3 - 3*n**2 - n - 2. Suppose 5*k - 5*r = 0, -3*r + 0*r + 4 = -5*k. Let s be 5 + k - (0 - 2). Give q(s). -6 Suppose -5*l - 10 = -3*k, -k + 4 = 3*l - 4*l. Let y = 0 + l. Let b(r) = r**2 - r + 0*r**2 - 5*r**2. Calculate b(y). -5 Suppose 18 = 6*k + 3*b, 0 = 3*k - 5*b + 17. Let s(i) = 2*i - 14*i**2 + 1 - 3*i + 0*i. Calculate s(k). -14 Let m(z) be the second derivative of 3/2*z**2 + 5*z + 0 - 1/6*z**3. Let a(x) = x**2 + 4*x - 4. Let y be a(-4). Give m(y). 7 Suppose 64 = 5*o + 4. Suppose 4 = 2*q + o. Let g(z) = 2*z + 5. Let n(b) = b + 2. Let c(i) = 3*g(i) - 8*n(i). Calculate c(q). 7 Suppose 2*x - 12 + 4 = 0. Let w = x - 9. Let i(c) = c**3 - 2*c**2 + 7*c. Let q(d) = 6*d**3 - 9*d**2 + 35*d. Let p(s) = 11*i(s) - 2*q(s). Calculate p(w). -10 Let m(j) be the third derivative of j**6/360 + 5*j**4/24 + j**3/2 - 2*j**2. Let v(l) be the first derivative of m(l). Determine v(0). 5 Let g(a) = -2*a - 2. Let d(u) = -u - 1. Let z(v) = -4*d(v) + 3*g(v). Determine z(-6). 10 Suppose -5*o + 5*s = -40, -2 = 2*o + 2*s + 2*s. Let a(x) = -8*x - 10 + x**2 + 2*x - 14 + 29. Calculate a(o). 0 Let k(b) = -3*b**2 - 3*b**2 + 2*b**2 - 5*b - b**3 - 4. Let v(h) = -h**2 - 4*h + 2. Let p be v(-4). Let u be (-1 + p)/(1/(-3)). Determine k(u). 2 Let u(i) = -i**2 + i. Let f(y) = -4*y**2 - y. Let o(z) = -f(z) - u(z). Calculate o(1). 5 Let z(h) be the first derivative of 1/2*h**2 + 11/3*h**3 + 3 + h. Determine z(-1). 11 Let k(q) = 9*q + 2. Let r be k(3). Suppose 2*s - 5*g = r, g + g + 12 = s. Let o(p) = -2*p**s + 5*p**2 + p**2 + p**3 - 2 + p. Calculate o(-3). 4 Let m(q) = -q**3 - 6*q**2 - 7*q - 7. Suppose 0*p = 3*p + 15. Let y be m(p). Let l(d) = -4 - d + 2*d**2 + d**3 - 2*d**3 - y*d**2. Give l(0). -4 Let s(n) be the second derivative of n**5/20 - 5*n**4/12 + 5*n**3/6 - 5*n**2/2 + n. Let d = 32 + -28. Calculate s(d). -1 Let g be (-12)/(-8)*(-2)/(-3). Let j(b) = 0 - 4 - 2*b**2 + 3*b**2 + 3 + b. Give j(g). 1 Let o = 15 + -13. Let b(v) = -115 + 113 + 2*v**2 - 2*v + 0*v. What is b(o)? 2 Let z(h) = -h**3 - 4*h**2 - 5*h - 2. Let r be z(-3). Let g(p) = -p**3 - 4*p**2 + 3*p - 6. Let i be g(-5). Let u(f) = 0*f + 0*f - i + 4*f - f**2. Calculate u(r). -4 Let z(s) = 4*s - 1. Let q(o) = o**2 + 4*o - 2. Let d be q(-5). Suppose d = 4*k - 1. Give z(k). 3 Let c(i) be the first derivative of -19*i**4/4 - i**3/3 + i**2 - i + 27. Give c(1). -19 Let h(i) = -i**2 - 7*i - 6. Let g be h(-4). Let q(a) = -7 + 3*a**2 - 2*a**2 + g*a - a. Let c = -6 + 1. What is q(c)? -7 Let l(r) = 4*r**3 + 9*r**3 + 12*r**2 - 13*r**2 + r. Calculate l(1). 13 Let t(c) be the third derivative of -c**4/6 - c**3/6 - 24*c**2. Determine t(-1). 3 Let k = -1 + 4. Let x(z) = -z**2 + 2*z - 2. Calculate x(k). -5 Let k(s) = 2*s + 3*s**2 + 0*s - 5*s - 4*s**2 + 6. Calculate k(-5). -4 Let s = 1 - 3. Let w(a) = -9*a + 17. Let p(k) = -3*k + 6. Let v(n) = 17*p(n) - 6*w(n). Determine v(s). -6 Suppose r + 15 = 3*d - d, 4*d - 3*r - 35 = 0. Let k(j) be the second derivative of j**2 + 1/6*j**3 + 0 - j. Determine k(d). 7 Let l(g) = -g**3 - 1 + 0*g**3 - 3*g + 3 + 2 - 6*g**2. What is l(-5)? -6 Let m(z) = -3*z + 4. Let d(q) = 4*q - 5. Let o(i) = -2*d(i) - 3*m(i). Let u = -3 - 1. What is o(u)? -6 Let a = 88 - 87. Let i(h) = 8*h**3 + 1. What is i(a)? 9 Let r(c) be the third derivative of -1/24*c**4 + 0*c**3 + 0 + 4*c**2 + 1/12*c**5 + 0*c. Determine r(1). 4 Let r(v) = -v - 6. Let a(l) = l - 1. Let z(d) = -2*a(d) - r(d). Give z(6). 2 Let p(k) be the third derivative of -5*k**4/24 + k**3/6 + k**2. Let d be p(1). Let u(o) = o**3 + 5*o**2 + 5*o - 1. Give u(d). -5 Suppose -5*u = -9*u. Let s(w) = w + 8. Determine s(u). 8 Let b(z) = z**2 + 5*z + 4. Let k be (-3 - -4)/(-1*1/5). Give b(k). 4 Let q be 1 + 1/(3 + -2). Let v(u) = u + 1 - 5 + 5 - 2*u**2 + u**q. What is v(0)? 1 Let s = 7 - 4. Let d(w) = 2 - s - w + 2 + 2*w. Let u(m) = m**2 - 11*m - 11. Let k(h) = -44*d(h) - 4*u(h). What is k(1)? -4 Suppose 0 = -11*k + 13*k + 18. Let a = k - -10. Let t(v) be the second derivative of -v**3/6 + v**2/2 + v. Calculate t(a). 0 Suppose q + q = -v - 13, q - 3*v + 24 = 0. Let n = q - -11. Let k(b) = -b + 4. Determine k(n). 2 Let r(d) = d**3 + 6*d**2 - 8*d - 3. Let m be r(-7). Let u be m - (-1 + -1 - -3). Suppose -j = u*j - 8. Let z(h) = 4*h + 1. Determine z(j). 9 Suppose 3*z = -2 + 14. Let f(v) = 0*v - z + 0 - v. Let n(c) = c**2 - 3*c. Let m be n(4). What is f(m)? -8 Let v be (-1)/(2 - (-9)/(-4)). Let n(h) = h**2 - 3*h + 1. Calculate n(v). 5 Let u(y) be the third derivative of 5*y**4/24 + y**3/3 - 9*y**2. Suppose -o = 3*k + 10, -6 = -k - o + 3*o. Calculate u(k). -8 Let f(p) = p + 1. Let o(b) = -b - 1. Let z(v) = 6*f(v) + 7*o(v). Let y(l) = 7*l + 1. Let c(r) = y(r) + 6*z(r). Give c(6). 1 Let x(r) be the second derivative of r**4/12 + 7*r**3/6 - r**2 - 9*r. Calculate x(-5). -12 Let l(q) = -7*q - 5. Let g(u) = 8*u + 5. Let x(f) = 3*g(f) + 4*l(f). Let w(v) = -5*v - 5. Let z(n) = 5*w(n) - 6*x(n). Calculate z(6). -1 Let l(r) = 5 + 0*r + r - 2 + 0*r. Give l(-2). 1 Let g be (0 - -3)/(1/1). Let q(s) be the third derivative of s**5/30 - s**4/8 - s**3/2 - s**2. Determine q(g). 6 Let f = -19 - -25. Let r(j) = 2*j + 8. Calculate r(f). 20 Suppose 3*y = -2*y - 10. Let n(i) = -2*i**2 - 13*i - 7. Let q(k) = 3*k**2 + 19*k + 10. Let g(x) = -7*n(x) - 5*q(x). Calculate g(y). 3 Let x = 5 + -3. Let u(t) = 5*t**3 - 3*t**3 - 3*t**3 + t**2. What is u(x)? -4 Let l(t) = 15 - 9 - 9 - t. What is l(-5)? 2 Let b = -5 + 2. Let x(i) = 7*i**2 - 5*i**2 - 3*i**2 - 3*i. Calculate x(b). 0 Let m be (-3)/(-1) - 1 - 0. Let p(t) = 3*t + m*t - t - 2. Calculate p(-2). -10 Let q be (-4 + 5)*(-3)/(-1). Let t = q - 1. Let n(f) = -t - 4 + 5 + 2*f + 7. Determine n(-4). -2 Let l(h) be the first derivative of 4*h**2 + h + 38. What is l(-1)? -7 Let h = 1 - -4. Let f(g) be the first derivative of -g**2 + 4*g - 3. Calculate f(h). -6 Let a(b) = -b - 11*b**2 - 1 - 2*b**2 + 12*b**2. Suppose -3*p = 5*d - 15, -5*p - 12 = -6*p - 4*d. Give a(p). -1 Let t(j) = -j**3 - 3*j**2 + 6*j + 6. Suppose 2*s + 13 = 2*f + 5, -5*s = f - 16. Let v = 4 - f. Let n be (v - -3)*(-5 - -1). What is t(n)? -2 Let q = 10 + -3. Let k = 5 - q. Let b(w) = 4*w**3 + 9*w**2 - 11*w - 5. Let n(s) = -2*s**3 - 4*s**2 + 5*s + 2. Let l(v) = 3*b(v) + 7*n(v). Give l(k). 7 Let u(x) = -3*x - 5. Let y = 62 + -54. Suppose 0*s - 2*s - 2*z = -16, 2*s + 4 = 3*z. Let p be (y/(-10))/(s/20). What is u(p)? 7 Let h = -9 + 4. Let x = 2 + 3. Let q(p) = x*p - 5 + 2*p**2 - p**2 + 2. Give q(h). -3 Let d(n) = -n**3 + 6*n**2 - 4*n + 1. Let i be 4/(-2) - (-2 - 3). Suppose 0 = -i*z + 2*q + 25, z - q - 11 = -1. Determine d(z). 6 Let i(p) = -2*p - 5*p - 3 + 2. Let d(z) = 6*z + 2. Let x(n) = -6*d(n) - 5*i(n
{ "pile_set_name": "DM Mathematics" }
37 a factor of 9605335? False Does 17 divide 15971432? True Is 24 a factor of 10817376? True Does 8 divide 17811675? False Does 5 divide 357089237? False Does 32 divide 26340064? True Is 672477586 a multiple of 40? False Is 731 a factor of 1290322806? False Is 13 a factor of 99099651? False Is 29 a factor of 216500654? False Is 2857298095 a multiple of 62? False Is 2446 a factor of 1384673262? True Is 813 a factor of 1296504108? True Is 701512608 a multiple of 4812? True Is 103486368 a multiple of 96? True Does 89 divide 6229807? False Does 22 divide 2085710? True Does 765 divide 37326742? False Does 280 divide 1571920? True Is 27 a factor of 4016274? False Is 9 a factor of 32041179? True Is 635 a factor of 2928581830? False Is 28775440 a multiple of 656? True Is 716367380 a multiple of 2202? False Is 2 a factor of 175635530? True Is 48 a factor of 1984943335? False Is 8777160 a multiple of 1161? True Is 17476083 a multiple of 14? False Is 3 a factor of 15891763? False Is 6096577 a multiple of 3? False Is 14 a factor of 24677044? True Does 54 divide 46382976? True Is 136454119 a multiple of 15? False Is 1621 a factor of 30387266? True Is 6132 a factor of 929329128? True Is 16 a factor of 4634410? False Does 7 divide 377900496? False Does 331 divide 14994962? True Is 272412 a multiple of 36? True Does 843 divide 404352531? False Is 307747566 a multiple of 2142? True Does 1514 divide 46102814? True Is 547666852 a multiple of 6? False Is 2414208 a multiple of 4? True Does 15 divide 244760975? False Is 259 a factor of 27235147? False Is 8586335 a multiple of 3? False Is 318950526 a multiple of 25? False Is 30289382 a multiple of 1536? False Does 80 divide 76562560? True Is 18 a factor of 214165962? True Is 52 a factor of 13593624? False Does 97 divide 2102691700? False Is 39 a factor of 940290? True Is 815 a factor of 2470274780? True Is 1278367652 a multiple of 29? False Is 43 a factor of 1228719051? False Does 11 divide 2542941962? True Is 21358368 a multiple of 39? False Is 19826736 a multiple of 46? True Does 3 divide 377099637? True Is 4411172 a multiple of 21? False Is 625 a factor of 147150625? True Is 238469451 a multiple of 1177? False Is 49 a factor of 1944651142? True Is 163 a factor of 786943462? True Does 320 divide 1767325120? True Does 368 divide 513155024? True Is 159048 a multiple of 18? True Is 2409 a factor of 294902553? True Is 11139318 a multiple of 531? True Is 1249 a factor of 4116118? False Is 7 a factor of 3239239? False Is 17 a factor of 75776615? False Is 747 a factor of 201035660? False Is 60079980 a multiple of 704? False Is 21 a factor of 35518056? True Is 1099 a factor of 99674714? False Does 1008 divide 186651360? True Does 16 divide 50447945? False Is 65 a factor of 1340741? False Is 2 a factor of 19474297? False Does 18 divide 400467618? True Does 462 divide 3067121442? True Does 109 divide 14803835? True Is 7562294 a multiple of 824? False Is 5 a factor of 8512685? True Is 23826916 a multiple of 409? False Does 580 divide 86511060? True Does 55 divide 233200512? False Is 496674753 a multiple of 20? False Does 7 divide 9737634? False Does 52 divide 1056820154? False Is 117093219 a multiple of 501? True Is 19 a factor of 4221474849? False Is 869 a factor of 2583537? True Is 529 a factor of 332297745? False Is 36 a factor of 379479042? False Is 14 a factor of 2140101936? True Is 26 a factor of 124928815? False Is 45755688 a multiple of 3156? True Is 263 a factor of 439253395? True Is 8 a factor of 243534478? False Does 21 divide 3191944175? False Is 68231907 a multiple of 19? True Is 514 a factor of 28216385? False Is 30 a factor of 156853500? True Is 14741809 a multiple of 2460? False Is 58223802 a multiple of 408? False Is 2873 a factor of 1085091878? True Does 26 divide 3061020103? False Does 5761 divide 2037861574? True Does 6 divide 29592900? True Is 396496736 a multiple of 1082? True Is 113807039 a multiple of 254? False Does 84 divide 609520716? True Is 925 a factor of 30841435? False Is 77 a factor of 21572859? True Is 12 a factor of 670807055? False Is 77 a factor of 42602252? True Is 43465680 a multiple of 17? False Does 10 divide 41653312? False Does 870 divide 7243409? False Does 245 divide 1542729543? False Is 27394382 a multiple of 12? False Does 54 divide 1955793384? True Is 707 a factor of 5243481? False Is 280 a factor of 21776600? False Is 106 a factor of 27154402? False Is 230516736 a multiple of 6? True Does 198 divide 790947113? False Is 70 a factor of 779872731? False Is 100 a factor of 14729300? True Is 11 a factor of 3728817191? True Is 2642560843 a multiple of 3002? False Is 19 a factor of 144814101? False Is 83 a factor of 30534419? False Is 54256274 a multiple of 82? False Is 13001908 a multiple of 6? False Is 214 a factor of 203631914? True Does 1061 divide 1462633062? True Does 34 divide 7223028? True Is 39 a factor of 1362959715? True Is 131 a factor of 20310800? False Does 159 divide 13829593? False Does 34 divide 1659668180? True Is 958546901 a multiple of 4119? False Does 198 divide 823548816? False Is 20816213 even? False Is 352589860 a multiple of 2380? True Does 33 divide 254391535? False Does 119 divide 1573600080? False Does 16 divide 80435136? True Is 238154490 a multiple of 21? True Is 114619469 a multiple of 10? False Is 586 a factor of 46939772? True Does 992 divide 14743753? False Is 31955144 a multiple of 26? True Is 520578461 a multiple of 923? True Does 38 divide 724141781? False Is 191085390 a multiple of 2203? False Does 70 divide 982594620? True Does 705 divide 29989290? True Is 263595658 a multiple of 202? True Does 88 divide 15871226? False Is 174499480 a multiple of 1299? False Does 74 divide 39567102? False Is 519 a factor of 14896478? False Is 8724267 a multiple of 91? False Is 27262228 a multiple of 28? True Is 1401918246 a multiple of 64? False Is 428598944 a multiple of 32? True Is 68 a factor of 293181932? True Is 923 a factor of 48477806? True Is 14580451 a multiple of 126? False Is 113 a factor of 21544525? False Is 939 a factor of 242331675? False Is 59572854 a multiple of 54? True Is 55656087 a multiple of 14? False Does 76 divide 3754027465? False Is 580 a factor of 11241447? False Does 847 divide 948302047? True Is 45559179 a multiple of 179? False Is 51 a factor of 68497368? False Is 18 a factor of 31184056? False Does 30 divide 440737740? True Is 882 a factor of 149452369? False Is 204 a factor of 814780633? False Is 172 a factor of 6856436? True Does 9 divide 68586615? True Is 1922 a factor of 449136585? False Does 25 divide 465787750? True Is 2 a factor of 3309733? False Is 329328921 a multiple of 56? False Is 26 a factor of 68030040? True Does 116 divide 123858213? False Is 11689130 a multiple of 336? False Is 651 a factor of 47088783? True Is 42883744 a multiple of 3064? True Does 43 divide 8286119? False Is 19278216 a multiple of 1341? True Does 1784 divide 111235968? True Is 623252929 a multiple of 263? True Is 21291300 a multiple of 1476? True Does 194 divide 1864670850? False Is 1595 a factor of 25981120? False Is 26248749 a multiple of 94? False Does 135 divide 43730550? True Is 12672 a factor of 2116725309? False Is 651895072 a multiple of 226? False Is 115 a factor of 518034060? True Does 56 divide 191869440? True Does 3 divide 21847077? True Is 1445532906 a multiple of 1437? True Is 65099979 a multiple of 3433? True Is 68589544 a multiple of 76? True Does 2688 divide 368894348? False Does 46 divide 144117126? True Is 16 a factor of 543179665? False Is 375094650 a multiple of 1391? False Does 35 divide 19812835? True Is 86124927 a multiple of 223? False Does 888 divide 63096064? False Is 49838458 a multiple of 34? True Is 20935950 a multiple of 2198? True Is 607371 a multiple of 409? False Is 4682784 a multiple of 80? False Does 7 divide 867520815? True Is 31516870 a multiple of 242? True Does 51 divide 636127896? True Is 340098144 a multiple of 996? True Is 9 a factor of 44676648? True Is 10591737 a multiple of 3? True Is 148788980 a multiple of 20? True Is 402 a factor of 145076976? True Is 35433718 a multiple of 5366? False Is 188314867 a multiple of 1573? False Is 253 a factor of 19747156? True Does 1791 divide 435119868? True Is
{ "pile_set_name": "DM Mathematics" }
he second biggest value? (a) 2/13 (b) -21 (c) -11 c Which is the second biggest value? (a) 1 (b) -0.1 (c) 2/559 c What is the second smallest value in -15, -9/5, 3? -9/5 What is the smallest value in -1, 8894, 1? -1 Which is the smallest value? (a) -5 (b) 4 (c) -0.06 (d) -3 a Which is the biggest value? (a) -88 (b) 5 (c) -2/7 b Which is the second biggest value? (a) -2/3 (b) 2 (c) 17 b Which is the fourth smallest value? (a) 75 (b) 2/7 (c) -0.3 (d) -6 a What is the second smallest value in -0.5, -4, 0, -0.49? -0.5 Which is the third biggest value? (a) 1/2 (b) -5 (c) -2 (d) 39 c Which is the second smallest value? (a) -7/48 (b) -5 (c) -3/2 (d) 0.3 c What is the third smallest value in 0.3, -3, 2/3, -22, 2/9? 2/9 Which is the fourth biggest value? (a) 0.4 (b) 0 (c) 3 (d) -1/8 d Which is the second biggest value? (a) 4/3 (b) -0.2 (c) 0.22 (d) 0.2 (e) 1 e What is the fifth biggest value in 5, -0.3, 0, 1, -2/47? -0.3 What is the third biggest value in -3, 0.4, -37.6? -37.6 Which is the second smallest value? (a) 1 (b) 0.4 (c) 0.1 (d) -22 c What is the third biggest value in -2, 4, -0.074? -2 What is the second biggest value in 3, -3, -191, -4? -3 What is the smallest value in 6, -0.1, -2? -2 What is the fourth biggest value in 2/5, 0, 5, 9, -4/5? 0 What is the third biggest value in -0.3, 5, -422? -422 Which is the third biggest value? (a) -21 (b) 20 (c) 1/7 a What is the smallest value in -0.5, -1, -56/3? -56/3 What is the smallest value in 0.3, 0.4, 5/6, -16? -16 Which is the second biggest value? (a) 0.1 (b) -2/11 (c) 0 (d) 11.5 (e) 2 e What is the fourth biggest value in 152, -1, 0.4, 2? -1 What is the fourth biggest value in -4, 4, -3, -32? -32 What is the fourth smallest value in 2, 4, -0.12, -0.5, 1/4? 2 Which is the smallest value? (a) -4 (b) -10 (c) 5 (d) 3 b What is the smallest value in 3/2, 3, 0.3, 4/7? 0.3 What is the third smallest value in -31, 39, 1/4, 1/7? 1/4 Which is the second biggest value? (a) -6 (b) -3/5 (c) 0.5 (d) -3/194 (e) 2 c Which is the second biggest value? (a) -4 (b) -2/21 (c) 8 (d) 1/4 d What is the smallest value in 1, 2/5, -3/7? -3/7 Which is the fourth smallest value? (a) -2/7 (b) -7/3 (c) -2 (d) 1 d What is the biggest value in 28/3, 63, -2? 63 What is the smallest value in 0.5, -0.5, 0, -0.1, -1/3? -0.5 What is the third biggest value in -5, 45, -2? -5 What is the third smallest value in -0.336, 5, -1/5? 5 Which is the third biggest value? (a) 1/14 (b) -3 (c) 66 b What is the smallest value in 1/4, -103, -35? -103 Which is the second smallest value? (a) -23 (b) 0.5 (c) -1/2 (d) -4 (e) 1 d Which is the second biggest value? (a) -0.039 (b) -4/5 (c) -1 b Which is the third smallest value? (a) 0.5 (b) -0.8 (c) 5 (d) -3/14 a What is the second smallest value in -13, 3, -0.5, 1/5? -0.5 Which is the second smallest value? (a) -3 (b) 1.6 (c) -2/11 (d) 13 c Which is the fourth biggest value? (a) -0.2 (b) -4 (c) 7 (d) 0.4 (e) -6 b What is the third smallest value in -4, -1, 2/5? 2/5 Which is the third biggest value? (a) 0.013 (b) 2/5 (c) 2/11 a What is the biggest value in -4, -0.05, -4/5, -4/9? -0.05 Which is the smallest value? (a) -0.1 (b) -1.5 (c) -373 c Which is the second smallest value? (a) 2/17 (b) -0.07 (c) -5 (d) 3 (e) -6 c Which is the biggest value? (a) 4 (b) -0.1 (c) -0.03 (d) -40 a What is the smallest value in -45, -4/7, 4, 2/7, 0.5? -45 Which is the fourth smallest value? (a) -5 (b) -4 (c) -3 (d) -0.27 d Which is the second biggest value? (a) -0.4 (b) -1/120 (c) -5/3 a What is the second biggest value in 0.4, 3, 1/13, -0.5? 0.4 What is the second smallest value in 0, -2/17, -107? -2/17 What is the second biggest value in 0, 3, -43, 5? 3 Which is the smallest value? (a) -1 (b) 0.19 (c) 5 (d) 20 a Which is the third biggest value? (a) -48 (b) 0.4 (c) -0.3 a What is the biggest value in 3/41, 3, 8? 8 Which is the third biggest value? (a) -47 (b) 5 (c) 1/4 (d) -0.5 d What is the third biggest value in -2, 0.1, 32? -2 What is the smallest value in 5, -0.3, -2/23, 12, 2/13? -0.3 Which is the fifth biggest value? (a) -7/3 (b) 0.2 (c) -3/7 (d) 2 (e) 2/3 a What is the third biggest value in -0.4, 3, 20, 0.2, 3/11? 3/11 Which is the second biggest value? (a) 11 (b) 5 (c) -0.3 (d) -7/2 b Which is the second smallest value? (a) -0.2 (b) 33 (c) 1/49 c What is the second biggest value in 5, -0.07, 36, 4? 5 What is the second biggest value in -0.5, -0.358, 3? -0.358 Which is the smallest value? (a) -1 (b) 1/12 (c) 0 (d) 1 (e) 1/11 a Which is the third smallest value? (a) -75 (b) 0.5 (c) 1 (d) -2 b Which is the smallest value? (a) 3 (b) 5 (c) -256 c Which is the third biggest value? (a) 4/3 (b) 1/11 (c) -1.4 c What is the second biggest value in 2.7, -0.5, 1/2, 3/26, 0? 1/2 Which is the second smallest value? (a) -0.01 (b) 0 (c) 11 b What is the third smallest value in -42, 3, -1? 3 Which is the smallest value? (a) -64 (b) -0.1 (c) -0.04 a Which is the fourth biggest value? (a) 28.2 (b) 0 (c) -0.1 (d) 5 c What is the second biggest value in -1/7, -1/4, 1, -153? -1/7 Which is the second smallest value? (a) 3 (b) -4 (c) -5 (d) 5 (e) -229 c What is the smallest value in 2, -2, -6/11, -1.8? -2 What is the third biggest value in 2, 0.2, -0.5, -1/86, 1/2? 0.2 What is the biggest value in 373, 3, -3/4? 373 What is the second smallest value in 0.1, 2/3, -2? 0.1 What is the biggest value in 4/9, 2/3, -80/17? 2/3 Which is the second smallest value? (a) 2 (b) 3/5 (c) -3 (d) 111 b What is the second smallest value in 1.3, 2/3, -52? 2/3 What is the third biggest value in 1/2, -0.4, -15/2, 1? -0.4 Which is the biggest value? (a) 2 (b) -167 (c) -19 a What is the biggest value in -2, 3, 0.2, 0.05? 3 Which is the second biggest value? (a) 25/17 (b) 17 (c) -5 a What is the fourth smallest value in -5/4, -2/17, 5, 0.3? 5 What is the second biggest value in -0.36, 7, 1, 3? 3 What is the smallest value in 0, 2/3, 2? 0 Which is the second smallest value? (a) -5 (b) -2 (c) 2/9 (d) -12 a Which is the third smallest value? (a) -1/3 (b) -2/3 (c) 3/4 c What is the third biggest value in 2, 1.4, 2/3, 5? 1.4 What is the second smallest value in 3, -14, 1/6? 1/6 What is the second smallest value in -3, -0.4, 0.4, 0.5? -0.4 What is the smallest value in -1/7, 4, 0, -2/17, 4/105? -1/7 Which is the third biggest value? (a) -1 (b) 0.2 (c) -1.9 c What is the third smallest value in -0.2, 0.2, 3, 9972? 3 Which is the third smallest value? (a) -181/4 (b) -2/9 (c) -2 b Which is the third smallest value? (a) -11 (b) -3 (c) 0.28 c Which is the smallest value? (a) 1 (b) 0.25 (c) -5 c What is the smallest value in -0.3, -3, 1/7, 1/4? -3 What is the fourth biggest value in 1.1, 1/2, 49, 2/5? 2/5 Which is the biggest value? (a) -3 (b) 0.86 (c) -0.2 b What is the third biggest value in -6, 1, -0.2? -6 Which is the fourth smallest value? (a) -19 (b) 2 (c) -0.3 (d) 0.3 b What is the second smallest value in 9, -18, -3? -3 Which is the fourth biggest value? (a) 0 (b) 22 (c) -2 (d) -0.03 c What is the third smallest value in -0.1, 260, 1/11? 260 Which is the second smallest value? (a) 2/3 (b) 2 (c) 2/15 a Which is the biggest value? (a) -0.3 (b) 3 (c) 52 (d) -4 c Which is the fourth smallest value? (a) 2/3 (b) 0 (c) -25 (d) -1 (e) -2/11 b Which is the fourth biggest value? (a) -3 (b) -0.2 (c) 2 (d) 0.03 a What is the fourth smallest value in 0.129, -1, 6, -5, -0.2? 0.129 What is the second smallest value in -6/5, -1, 233, 0.1? -1 Which is the fourth smallest value? (a) 4/3 (b) -1 (c) 35 (d) -4 (e) -5 a What is the smallest value in 1/8, -0.5, 14, 0.5? -0.5 What is the second smallest value in 8/21, -0.4, 0.3, 14? 0.3 What is the fourth biggest value in 14, 1, -3/4, 5? -3/4 Which is the third biggest value? (a) -5 (b) 0.2 (c) 17 (d) 2 b What is the fourth smallest value in -6, -4, 11, -4/5? 11 Which is the second smallest value? (a) -3/8 (b) 8 (c) 40 b What is the smallest value in -0.041, -0.1, -3, 0.4? -3 What is the second smallest value in -1/10, 10, -2/5? -1/10 Which is the smallest value? (a) -3 (b) -2/55 (c) 14 a What is the t
{ "pile_set_name": "DM Mathematics" }
ding order. g, -0.3, 159 Let f be 5/(-10)*2 - -5. Let y be (-25)/10 + 2 + 2/(-4). Put y, f, 5 in descending order. 5, f, y Let r be -1*((-7679)/(-28) + -1). Let b = r + 273. Let d = 1 - 0.5. Sort b, 2, d in decreasing order. 2, d, b Let f(p) = p**3 - 6*p**2 + 5*p. Let c be f(5). Suppose 0 = 4*v + 2*o + 2*o - 36, -v - 3*o + 19 = c. Suppose 11 = v*h - 9. Sort -11, 0, h. -11, 0, h Let m(d) = d**3 + 2*d**2 - 5*d - 2. Let b be m(-3). Suppose a = b*a - 12. Sort -3, 5, a in decreasing order. 5, a, -3 Let w = 41/10 - 18/5. Sort w, 0.04, 11, 5. 0.04, w, 5, 11 Let v = 125 + -125. Sort v, -9, -3, 2 in increasing order. -9, -3, v, 2 Let y be (-1 + 0)/(1/(-3)). Suppose -7*x - 6*x = -4*x. Suppose x = 3*i + 3 + y. Sort i, 0, -5. -5, i, 0 Suppose 6*t + 801 = -3*t. Let l = -83 - t. Put -1, l, -5 in decreasing order. l, -1, -5 Let b(o) = o - 24. Let k be b(27). Sort 2, k, -11, -4 in ascending order. -11, -4, 2, k Let d = 12.16 + -13.16. Let h = 11 + -8. Sort -2, h, d in descending order. h, d, -2 Let u = -4 + 9. Let c be (-1)/(-2) + (-1)/2. Suppose c = 4*h + 2*f, 0*f + 20 = -5*f. Sort 1, h, u in descending order. u, h, 1 Let m be 90/(-1008) - (-6)/16. Sort m, 0.5, -1/5, 3 in decreasing order. 3, 0.5, m, -1/5 Let r = 29/126 - -1/18. Put 1/4, r, 5, -4 in decreasing order. 5, r, 1/4, -4 Let m be (3/26)/(12/(-16)). Let f = -139 - -139.09. Put m, f, -5 in descending order. f, m, -5 Let g = -142 + 141.947. Let m = -4.053 - g. Sort 0.1, m, -2/7, 2/7. m, -2/7, 0.1, 2/7 Suppose 6*u - 1 = -1. Suppose 7*r + 0*r - 35 = u. Sort 1, r, -2 in decreasing order. r, 1, -2 Let x = 321 + -321.109. Put 2/9, x, 0.4, 1/5 in ascending order. x, 1/5, 2/9, 0.4 Let b = -4631 + 9481/2. Let t = b + -2403/22. Put t, -3/8, -1/9 in decreasing order. t, -1/9, -3/8 Suppose 0 = -4*k + 3*q + 16, 3*k - 35*q - 219 = -76. Let x = 9 + -14. Sort x, k, -4, -1 in decreasing order. k, -1, -4, x Suppose 16*n + 16 = 12*n. Let t be -6 - ((-7 - n) + -1). Sort t, -5, -1. -5, t, -1 Let h = 5 + -2. Suppose 5*d = 20 + 20. Let t = 10 - d. Sort t, 0, h in descending order. h, t, 0 Let b = 0.47 - 0.12. Let q = 257 - 257.3. Put q, 4, b in decreasing order. 4, b, q Let l = 206/9 + -1406/63. Let v = 3.8 - -1.2. Put v, 0.3, l in descending order. v, l, 0.3 Suppose 7 = -h + 8*p - 5*p, -p + 4 = -2*h. Sort h, -4, 2, 0.14 in increasing order. -4, h, 0.14, 2 Let n = 73 - 78. Let g = -7 - n. Put -0.3, -4/5, g in decreasing order. -0.3, -4/5, g Let o = -706 - -679.04. Let t = o - 0.04. Let f = t - -30. Put f, -0.5, 2 in ascending order. -0.5, 2, f Suppose 13*n + 51 - 25 = 0. Sort 5, -1, n, 4 in decreasing order. 5, 4, -1, n Suppose r + 1 = -3, 5*l - r - 4 = 0. Suppose -87*a + 85*a + 10 = 0. Sort l, a, -3, -2. -3, -2, l, a Let f be (-48)/108*(-27)/42. Put f, -0.3, 5, -0.4 in increasing order. -0.4, -0.3, f, 5 Let i(w) = -w**3 - 25*w**2 - 2*w - 39. Let r be i(-25). Suppose 17 = 7*k - r. Put -5, k, 1 in descending order. k, 1, -5 Let i be -2*(-3 + 2) + -1. Suppose -587 = w - 583. Sort i, w, -3 in ascending order. w, -3, i Suppose -4*z - 5 = -5*z. Suppose -5*t + 6 + 24 = 5*j, 30 = z*t + 3*j. Let h be 20/15 + (-11)/(-3). Put h, t, 0 in decreasing order. t, h, 0 Suppose -21*x + 25*x - 4*j = 20, 0 = x - 2*j - 7. Sort 5, x, -42. -42, x, 5 Let f(w) = -5*w + 3. Let x(y) = y - 1. Let g(o) = f(o) + 4*x(o). Let z be g(0). Let h be (-26)/(-2)*(0 + z). Put -3/5, 0.2, h in decreasing order. 0.2, -3/5, h Let n be (-84 + -1)*(-5)/(-60). Let l = n - -31/4. Let p = -0.06 + 0.26. Sort 0, p, l in increasing order. 0, p, l Let c = -29/6 + 5. Suppose -2*n = -0*n + 4. Sort 1, n, c. n, c, 1 Suppose 5*m - 78 - 22 = 0. Let n be (-2)/m + 12/(-30). Suppose 10*p + 3 = 9*p. Sort n, p, -7 in ascending order. -7, p, n Let m(s) = 8*s**2 - 8*s - 3. Let j be m(3). Let t = -47 + j. Sort t, -15, 3. -15, t, 3 Let l be (2 + 0)*1 + -1. Let n(j) = 1 + 2 - 2 + 2*j**2 - 22*j + 9*j. Let x be n(6). Put x, l, -1 in ascending order. x, -1, l Let z(x) = 12*x - 106. Let i be z(9). Sort 0.5, -424, i, -3. -424, -3, 0.5, i Let n be (-2)/(-1)*3/6*-4. Let o(g) = -g**3 - 2*g**2 + 8*g - 3. Let x be o(n). Sort 4, 5, x in decreasing order. 5, 4, x Let p(x) = x**3 + x**2 - 4. Let t be p(0). Let k(d) = d**2 + 8*d. Let y be k(-8). Suppose 6*l - 3*l - 3 = y. Sort l, t, -2 in decreasing order. l, -2, t Suppose 26 = -5*m - 5*u - 4, -5*m - 26 = u. Sort -0.4, m, -1, 5/3 in ascending order. m, -1, -0.4, 5/3 Let m = 18 + -17. Suppose 3*h - 29 = x - 9, -x = -h + 10. Suppose w = h, -3*b + 3*w = 1 + 23. Put 4, b, m in ascending order. b, m, 4 Let k = 10/57 + -1/114. Let j = -1037 - -1036.5. Put -4, k, j, 0.2 in decreasing order. 0.2, k, j, -4 Suppose 2*h + 32 = -4*f, -3*f + 41 = -2*h + 2*f. Let v be 15/36 + (-6)/h. Sort 0, v, -0.4 in ascending order. -0.4, 0, v Let m = 184412/5 + -36744. Let a = m - 138. Suppose 6*f - f + 4*i - 25 = 0, 2*f - 10 = -2*i. Sort f, -0.4, a. -0.4, a, f Let h(x) = x**3 - 26*x**2 - 2*x + 48. Let y be h(26). Put y, -1, 15, 1 in descending order. 15, 1, -1, y Suppose 5*g + 15 = 2*g. Suppose -3*z + 7 = -8. Let o be 7 + (z*-3)/5. Sort g, -4, o in descending order. o, -4, g Let g be 2/1*(1 - 2). Let j = -0.0126 - 2.9874. Sort -1/5, j, g in descending order. -1/5, g, j Let k = 0.06 + -0.061. Let x = 3.999 - k. Sort 0.4, 0, -3, x. -3, 0, 0.4, x Let s(z) = -2*z**2 + 23*z - 42. Let m be s(9). Put 9, 20, m in decreasing order. 20, 9, m Let h = -0.022 - 0.178. Let t = 3.1 - 3. Sort t, -2/5, h. -2/5, h, t Suppose -1 = -c + 1. Suppose -3*t + 4 = -5*u + 2, -2*u - c*t = 4. Let k(b) = b - 16. Let r be k(20). Sort u, r, 5 in descending order. 5, r, u Let y(r) = r**3 + 3*r**2 - 6*r + 27. Let v be y(0). Sort 4, -7, v. -7, 4, v Let k = 3.07 + -1.07. Put 0, k, -4, 2/5 in descending order. k, 2/5, 0, -4 Suppose 156 = 4*s - s. Suppose -8*q - s = 36. Sort 2, q, 3 in increasing order. q, 2, 3 Let o be 3/(-14)*(0 - -2). Suppose 2*a = -2*c + 4, 0*a - 3*a + 2*c + 16 = 0. Let q be (4/5)/((a/5)/2). Put q, -0.3, o in ascending order. o, -0.3, q Suppose 3*d + 43 = 2*m - 3*m, 0 = 4*m + 5*d + 137. Let w be ((-40)/m - 2) + 0. Sort w, -2/7, -1 in descending order. -2/7, w, -1 Let w be (-4)/(-6)*9/6. Suppose -3*z - z = -5*f, -f - 11 = -3*z. Let b(o) = -o + 7. Let m be b(5). Put m, z, w in decreasing order. z, m, w Let k be (-25)/(-7) - ((-972)/63 + 16). Put 1, 11, -7, k in increasing order. -7, 1, k, 11 Let r(g) = -2*g + 8. Let z be r(3). Let k be (-18)/14 + (z/7 - 0). Put 0, -5, 5, k in descending order. 5, 0, k, -5 Suppose -520 - 728 = -3*f. Put -5, -4, -3, f in descending order. f, -3, -4, -5 Let m be (12 - 1104/90)/(2/(-5)). Put -6, m, 0.1, -1 in descending order. m, 0.1, -1, -6 Suppose 3*m - 30 = -7*m. Let z be (6/(-27))/(m/18). Put z, 0.5, 5 in decreasing order. 5, 0.5, z Let n = 24 - 22. Suppose p + 4*y = 348, -n*p = -y - 434 - 307. Let o = p - 3316/9. Put 2/5, o, -0.5 in descending order. 2/5, o, -0.5 Let b = 4 - 1. Let a = -206 - -230. Sort a, b, 2 in descending order. a, b, 2 Suppose -2*a + 5*a = 6. Let i be a/(-8) - 5/(-4). Let s(q) = -5*q - 1. Let v be s(-1). Sort i, -2, v. -2, i, v Let h(u) = u**2 + 3*u + 2. Let f be h(-2). Suppose -q - 2 + f = 0. Let t = -5 - -8. Sort q, -5, t in descending order. t, q, -5 Suppose -2*j = o + 9, 2*o + 3*o = 2*j - 9. Sort j, -4, -7, 1. -7, -4, j, 1 Let y = 1947 - 1951. Put y, -0.4, 33.7 in increasing order. y, -0.4, 33.7 Let w = 47 - 142/3. Let f = -43 - -19.7. Let u = -23 - f. Sort u, w, 5 in ascending order. w, u, 5 Suppose -4*b - 14 = 5*o, -4*o = b - 0*o - 2. Let c = b - -12. Let l(w) = -w**3 + 4*w**2 + 4. Let s be l(4). Sort c, s, -5 in ascending order. -5, s, c Let k(n) = 3*n**2 + 2*n + 1. Let r be k(3). Suppose -3*b = 3*x + 30, -2*b + r = -x - 3*x. Sort 2, -5, x. x, -5, 2 Let h = 629 + -632. Sort 0.1, 2, -1/19, h in decreasing order. 2, 0.1, -1/19, h Let g = -54 - -60. Suppose g*q = 8*q - 14. Sort -1, -4, q, -2. -4, -2, -1, q Let v = 1810 + -1806. Sort -27, 3, -1, v. -27, -1, 3, v Let f = -52 - -54. Sort f, 4, -0.079 in increasing order. -0.079, f, 4 Suppose -14*d - 15 = -19*d. Suppose -2*s + s + 4 = 0. Suppose -a - 5 = 3*y, 2*y + 31 = s*a - d*y. Put 2, -9, a in descending order. a, 2, -9 Let z(g) = g**3 + 4*g**2 + g - 1. Let c be z(-4). Let p(t) = -t**3 - 18*t**2 - 27*t + 85. Let m be p(-16). Sort m, c, 1 in decreasing order. m, 1, c Suppose -2*y = -3*
{ "pile_set_name": "DM Mathematics" }
32352 (base 6) to base 3 20010012 Convert 718 (base 10) to base 11. 5a3 -618 (base 9) to base 16 -1f7 ded (base 15) to base 8 6114 -3687 (base 10) to base 9 -5046 Convert 11b7 (base 14) to base 15. dbb -2103221 (base 4) to base 5 -300244 214 (base 10) to base 6 554 -202220 (base 3) to base 7 -1434 Convert -374 (base 9) to base 10. -310 Convert 1336 (base 7) to base 9. 634 -a2 (base 16) to base 7 -321 Convert -331 (base 7) to base 12. -121 What is -120020 (base 3) in base 9? -506 Convert -14334 (base 7) to base 14. -161b Convert -4155 (base 6) to base 12. -65b Convert -43 (base 7) to base 4. -133 233 (base 13) to base 12 278 What is 24a1 (base 12) in base 8? 10071 222010 (base 3) to base 13 423 Convert 707 (base 11) to base 14. 450 What is 3040012 (base 5) in base 6? 1020342 329b (base 13) to base 4 1232101 -1100001010 (base 2) to base 15 -36d -2043113 (base 5) to base 7 -201405 2281 (base 10) to base 8 4351 What is -1012000000 (base 3) in base 10? -23328 What is -2926 (base 11) in base 6? -25255 Convert -49d (base 16) to base 2. -10010011101 What is 55 (base 7) in base 14? 2c What is 1102222 (base 3) in base 6? 4512 What is -42343 (base 5) in base 10? -2848 Convert 2546 (base 8) to base 6. 10222 Convert -14a75 (base 12) to base 10. -29177 What is 8064 (base 15) in base 14? 9c34 246435 (base 7) to base 5 2423443 Convert b9 (base 16) to base 7. 353 1b8c (base 15) to base 3 22012120 What is -74a (base 11) in base 5? -12101 1699 (base 13) to base 2 110100001001 -5632 (base 15) to base 5 -1041042 Convert 2221 (base 16) to base 9. 12877 Convert 7620 (base 9) to base 14. 2087 -23332 (base 7) to base 15 -1ba1 746 (base 10) to base 8 1352 Convert -102110212 (base 3) to base 11. -6316 What is 702 (base 8) in base 6? 2030 Convert -1002121 (base 3) to base 11. -667 What is -812 (base 9) in base 16? -293 -1366 (base 8) to base 6 -3302 76c7 (base 13) to base 7 66161 102233333 (base 4) to base 5 4424144 Convert 202201 (base 8) to base 13. 2447c Convert -194 (base 16) to base 6. -1512 2615 (base 7) to base 14 50c What is -6ac (base 16) in base 3? -2100021 13033 (base 6) to base 4 132231 What is 302202 (base 5) in base 7? 40133 What is 12134 (base 5) in base 13? 559 1dc (base 15) to base 7 1155 Convert 31104 (base 5) to base 6. 13221 19 (base 11) to base 6 32 -204 (base 5) to base 15 -39 Convert 63164 (base 7) to base 11. 10739 What is 132130 (base 5) in base 4? 1102222 What is -129 (base 11) in base 14? -ac What is -110102210 (base 3) in base 16? -236a Convert 330212 (base 4) to base 9. 5278 10101110 (base 2) to base 3 20110 What is 2011012000 (base 3) in base 12? 20669 What is -2202101 (base 3) in base 12? -11b4 Convert -1000110110 (base 2) to base 9. -688 -21a (base 14) to base 10 -416 b931 (base 16) to base 9 72026 -234 (base 14) to base 5 -3223 Convert 111001101100110 (base 2) to base 12. 1511a What is -154314 (base 7) in base 14? -b0b4 Convert -5222 (base 6) to base 15. -52b 11155 (base 7) to base 14 1065 -24140 (base 5) to base 16 -703 What is -4de (base 16) in base 9? -1634 Convert 7810 (base 10) to base 16. 1e82 Convert 10902 (base 12) to base 3. 1010020002 -513 (base 12) to base 7 -2100 -170 (base 15) to base 4 -11022 -966 (base 14) to base 5 -24404 Convert 11101101110 (base 2) to base 16. 76e What is 14688 (base 15) in base 5? 4044403 Convert 2672 (base 16) to base 5. 303332 What is 23337 (base 8) in base 14? 38ab -101100001001 (base 2) to base 6 -21025 What is -2140 (base 7) in base 4? -23323 -9724 (base 10) to base 12 -5764 -744 (base 9) to base 3 -211111 -1902 (base 13) to base 4 -322020 What is 15265 (base 7) in base 3? 12211211 What is 358 (base 10) in base 13? 217 -6c9c (base 13) to base 7 -62502 -1574 (base 14) to base 9 -5221 Convert 21322 (base 4) to base 7. 1564 What is 202 (base 5) in base 7? 103 2310201 (base 4) to base 15 3653 What is 2111020 (base 3) in base 12? 1073 52921 (base 10) to base 3 2200121001 What is 2002221220 (base 3) in base 15? c483 Convert -5594 (base 13) to base 9. -17348 -1022220000 (base 3) to base 15 -7b43 Convert -203 (base 14) to base 12. -28b Convert -122011 (base 3) to base 8. -717 What is -132011 (base 4) in base 14? -9b7 What is 400 (base 6) in base 8? 220 What is -4221 (base 6) in base 16? -3b5 Convert -1520 (base 6) to base 13. -255 1706 (base 8) to base 14 4d0 What is -615 (base 13) in base 2? -10000001000 -15e (base 16) to base 15 -185 What is 7bc (base 16) in base 6? 13100 Convert 12011121 (base 3) to base 8. 7271 Convert -2e65 (base 16) to base 15. -37bc -100100010001111 (base 2) to base 7 -105104 What is 1000 (base 6) in base 15? e6 Convert 15bb (base 13) to base 10. 3196 Convert 4620 (base 7) to base 15. 770 2229 (base 12) to base 8 7301 Convert 1100 (base 2) to base 3. 110 Convert -421605 (base 7) to base 6. -1320240 Convert -141022 (base 5) to base 9. -7812 What is -20122110 (base 3) in base 14? -1aa1 What is 145 (base 11) in base 12? 122 What is 324 (base 11) in base 9? 472 2808 (base 16) to base 14 3a40 Convert 3584 (base 9) to base 15. bcd What is 18885 (base 9) in base 4? 3030332 Convert -20020101 (base 3) to base 2. -1000111000010 What is 310 (base 13) in base 9? 637 Convert 10359 (base 11) to base 5. 440233 229 (base 15) to base 16 1e9 4134 (base 10) to base 14 1714 Convert 1203 (base 12) to base 16. 7e3 What is -100011 (base 2) in base 7? -50 Convert -185 (base 9) to base 13. -c2 Convert 11011010 (base 2) to base 10. 218 What is -925 (base 11) in base 2? -10001011100 -3470 (base 9) to base 5 -40244 Convert 103 (base 7) to base 6. 124 Convert -5d0 (base 16) to base 7. -4224 Convert 131404 (base 5) to base 7. 21150 Convert 44214 (base 5) to base 15. d8e 101111001 (base 2) to base 12 275 Convert 12513 (base 6) to base 4. 131331 113221 (base 4) to base 11 1156 3121 (base 7) to base 12 771 Convert 303011 (base 4) to base 11. 2502 -5526 (base 8) to base 16 -b56 4bc6 (base 14) to base 16 33fa Convert -65176 (base 9) to base 7. -236556 Convert -1665 (base 7) to base 2. -1010101100 Convert -5256 (base 9) to base 8. -7422 Convert 30a21 (base 11) to base 12. 22170 -104 (base 14) to base 10 -200 1011001011 (base 2) to base 13 430 -236 (base 8) to base 12 -112 What is -252 (base 11) in base 4? -10223 What is -776 (base 8) in base 10? -510 Convert -102212 (base 5) to base 2. -110101101000 What is -341234 (base 5) in base 13? -5655 12011021 (base 3) to base 4 322300 -53523 (base 6) to base 4 -1302123 3200 (base 6) to base 3 222200 Convert 21604 (base 7) to base 9. 7417 What is 9a19 (base 12) in base 10? 17013 What is -240224 (base 6) in base 3? -1001120021 1202213 (base 5) to base 10 22183 11355 (base 7) to base 10 2931 Convert -8815 (base 12) to base 6. -153225 Convert -3762 (base 14) to base 10. -9690 What is 111010110110010 (base 2) in base 12? 1552a -3200 (base 5) to base 8 -651 -2086 (base 9) to base 6 -11040 What is -148b (base 12) in base 10? -2411 Convert 12020 (base 4) to base 16. 188 132404 (base 5) to base 15 18be Convert 19c3 (base 14) to base 16. 1247 Convert -3303 (base 4) to base 8. -363 What is -7186 (base 10) in base 11? -5443 d01 (base 14) to base 16 9f5 -71c (base 14) to base 16 -576 What is 20183 (base 9) in base 15? 3e03 -8378 (base 9) to base 7 -23630 -1074 (base 9) to base 7 -2215 Convert 12316 (base 7) to base 12. 1a67 Convert -482b (base 15) to base 6. -155005 2041244 (base 5) to base 15 a0d4 What is 167 (base 9) in base 6? 354 1232 (base 4) to base 16 6e What is -101403 (base 9) in base 12? -2a949 What is -12010 (base 3) in base 9? -163 Convert -120201000 (base 3) to base 2. -10110010111000 Convert -13322 (base 5) to base 12. -767 10001200010 (base 3) to base 13 2157c 678d (base 16) to base 13 c0b2 Convert -410 (base 11) to base 14. -275 What is -3030244 (base 5) in base 14? -13b16 What is 609 (base 11) in base 4? 23133 -4035 (base 15) to base 12 -7a12 Convert -213133 (base 4) to base 14. -cc7 What is 1832 (base 9) in base 12? 992 Convert -3d (base 15) to base 7. -112 Convert 2331 (base 15) to base 8. 16457 Convert -10000110010001 (base 2) to base 12. -4b81 Convert -9882 (base 10) to base 15. -2ddc -7040 (base 9) to base 11 -3952 What is -2013311 (base 4) in base 15? -2898 Convert 110011111001101 (base 2) to base 13. c131 Convert -2d10 (base 16) to base 12. -6814 -15189 (base 1
{ "pile_set_name": "DM Mathematics" }
greatest common divisor of 530069 and 31? 31 What is the greatest common factor of 765879 and 354? 177 Calculate the greatest common divisor of 1032 and 756456. 1032 What is the highest common factor of 86157 and 27? 27 What is the greatest common factor of 100 and 541525? 25 What is the greatest common factor of 43995 and 630? 105 What is the highest common divisor of 224 and 43792? 112 What is the highest common divisor of 12876 and 30508? 116 What is the greatest common divisor of 994 and 287550? 142 What is the greatest common divisor of 22563 and 136359? 981 Calculate the greatest common divisor of 3173860 and 296. 148 What is the greatest common factor of 240 and 109410? 30 Calculate the highest common divisor of 57540 and 5040. 420 Calculate the greatest common divisor of 30 and 38175. 15 Calculate the highest common factor of 170477 and 6759. 751 What is the greatest common factor of 5499 and 4797? 117 What is the greatest common factor of 60 and 15195? 15 What is the highest common factor of 45819 and 351? 27 What is the greatest common divisor of 102280 and 40? 40 What is the highest common factor of 932630 and 20? 10 What is the greatest common divisor of 4845 and 153? 51 Calculate the greatest common factor of 196 and 237650. 98 What is the greatest common factor of 318675 and 2100? 525 Calculate the greatest common factor of 307956 and 12. 12 What is the greatest common factor of 879656 and 248? 248 What is the highest common divisor of 7177 and 16? 1 What is the highest common factor of 822016 and 1014? 338 What is the highest common divisor of 245 and 6985? 5 What is the highest common divisor of 1020 and 1239810? 510 What is the greatest common factor of 333575 and 275? 275 What is the highest common divisor of 10572 and 120? 12 What is the greatest common factor of 12325 and 232? 29 What is the greatest common divisor of 15062 and 91258? 886 Calculate the greatest common factor of 12 and 1328. 4 Calculate the greatest common divisor of 202 and 62317. 101 Calculate the greatest common factor of 82708 and 117769. 899 What is the highest common divisor of 39 and 27744? 3 What is the highest common divisor of 33740 and 140? 140 Calculate the greatest common factor of 1455543 and 117. 9 What is the highest common factor of 386 and 21465074? 386 What is the greatest common divisor of 113538 and 14304? 894 What is the highest common factor of 588 and 428736? 84 Calculate the highest common divisor of 1856 and 27028. 116 Calculate the greatest common divisor of 54270 and 1170. 90 Calculate the greatest common factor of 9550 and 1550. 50 What is the highest common divisor of 35 and 54565? 35 Calculate the greatest common factor of 13164 and 1284. 12 Calculate the highest common divisor of 557 and 134237. 557 Calculate the greatest common divisor of 6556 and 2684. 44 What is the greatest common factor of 1408 and 1496? 88 Calculate the highest common divisor of 140569 and 2860. 143 What is the highest common divisor of 27 and 3405? 3 What is the highest common factor of 1980 and 10980? 180 What is the greatest common factor of 721301 and 28? 7 Calculate the greatest common divisor of 23530 and 3250. 130 What is the greatest common divisor of 249 and 10551? 3 What is the greatest common factor of 409 and 399593? 409 Calculate the highest common factor of 20 and 5192. 4 What is the highest common divisor of 660 and 4040? 20 What is the greatest common divisor of 14402152 and 41? 41 What is the greatest common factor of 5700 and 2910? 30 Calculate the greatest common factor of 24063416 and 104. 104 What is the highest common factor of 2035 and 45? 5 Calculate the greatest common divisor of 1408 and 5093. 11 Calculate the highest common factor of 2280768 and 63. 21 What is the greatest common divisor of 135 and 32805? 135 What is the highest common divisor of 181083 and 987? 21 What is the highest common factor of 124425 and 49? 7 Calculate the highest common divisor of 141 and 1310219. 47 What is the highest common factor of 28718 and 2158? 166 What is the greatest common factor of 39457 and 88? 11 What is the greatest common factor of 6208 and 28324? 388 What is the greatest common factor of 1002 and 8124? 6 Calculate the greatest common factor of 20 and 8572. 4 Calculate the highest common factor of 420 and 1620. 60 Calculate the highest common divisor of 96 and 55992. 24 What is the highest common divisor of 748946 and 3462? 1154 Calculate the greatest common divisor of 328823 and 275. 11 What is the greatest common factor of 15 and 149465? 5 Calculate the highest common factor of 238625 and 415. 415 What is the highest common factor of 240255 and 3420? 855 Calculate the highest common divisor of 3243 and 299437. 1081 What is the highest common divisor of 116 and 2404? 4 What is the greatest common divisor of 617393 and 623? 623 Calculate the greatest common factor of 1100 and 452925. 275 What is the greatest common factor of 19174 and 1? 1 Calculate the greatest common divisor of 12852 and 1162. 14 Calculate the greatest common factor of 9 and 141804. 9 What is the highest common divisor of 160 and 6112? 32 Calculate the greatest common factor of 9620 and 208. 52 Calculate the highest common divisor of 6816 and 56516. 284 Calculate the highest common factor of 704 and 5401. 11 What is the highest common factor of 450 and 147350? 50 Calculate the greatest common factor of 2160 and 346428. 36 What is the greatest common divisor of 9051 and 57? 3 What is the greatest common divisor of 584 and 496? 8 Calculate the greatest common factor of 422072 and 140. 28 What is the greatest common divisor of 2725550 and 50? 50 What is the highest common factor of 113 and 2259661? 113 What is the greatest common factor of 508 and 1464691? 127 Calculate the greatest common divisor of 18 and 1753614. 18 Calculate the greatest common factor of 526 and 481290. 526 Calculate the highest common divisor of 53725 and 175. 175 What is the greatest common factor of 7254 and 15886? 26 Calculate the highest common factor of 60 and 655. 5 What is the highest common divisor of 572 and 726? 22 Calculate the greatest common divisor of 414 and 256059. 207 Calculate the highest common divisor of 4431 and 273. 21 What is the highest common factor of 135717 and 3401? 19 What is the greatest common divisor of 84 and 30506? 14 Calculate the highest common factor of 26461 and 423. 47 What is the highest common divisor of 848 and 3466? 2 What is the greatest common divisor of 33426 and 54? 54 Calculate the highest common divisor of 3196 and 92582. 34 Calculate the highest common divisor of 41829 and 30369. 573 What is the greatest common factor of 58989 and 21? 21 Calculate the greatest common factor of 38478 and 112731. 159 What is the highest common factor of 2380 and 350? 70 Calculate the highest common factor of 170 and 4320. 10 Calculate the highest common divisor of 1128420 and 180. 180 Calculate the greatest common divisor of 2664 and 22496. 296 What is the greatest common divisor of 3031 and 553? 7 Calculate the highest common factor of 136323 and 4. 1 Calculate the highest common factor of 10100 and 1818. 202 Calculate the greatest common divisor of 1456 and 5551. 91 Calculate the highest common factor of 1 and 36151. 1 What is the greatest common factor of 29 and 23? 1 Calculate the greatest common divisor of 7584 and 1104. 48 Calculate the greatest common factor of 55752 and 909. 303 What is the highest common factor of 15037 and 891? 11 What is the greatest common divisor of 24041 and 667? 29 What is the highest common factor of 1 and 1094442? 1 What is the highest common divisor of 32 and 305168? 16 Calculate the highest common factor of 436005 and 30. 15 What is the greatest common factor of 123 and 54489? 123 Calculate the greatest common divisor of 85540 and 29845. 235 What is the highest common divisor of 84672 and 12960? 864 What is the greatest common divisor of 55627 and 6149? 143 Calculate the highest common factor of 2755 and 4640. 145 What is the highest common divisor of 3747316 and 2724? 908 Calculate the highest common factor of 227955 and 420. 105 What is the highest common factor of 38 and 2216616? 38 What is the greatest common factor of 1608
{ "pile_set_name": "DM Mathematics" }
econd derivative of -s**6/10 + 3*s**5/2 + 11*s**4/4 - 111*s - 2. Factor v(m). -3*m**2*(m - 11)*(m + 1) Let s(l) be the first derivative of 12*l**5/5 + 63*l**4/4 - 19*l**3 - 9*l**2 - 258. Factor s(t). 3*t*(t - 1)*(t + 6)*(4*t + 1) Factor -16*o**3 + 422222 + 17*o**3 + 548077 + 29403*o + 297*o**2. (o + 99)**3 Let s(k) be the first derivative of k**4/4 - 2*k**3/3 + k**2/2 + 5. Let o be s(2). Factor -4*a**o + 9*a**4 + 0*a - 8*a**2 - 3*a**5 + 0*a. -3*a**2*(a - 2)**2*(a + 1) Suppose -7*m - 6 = -20. Suppose h = -2*k + 7, m*h - 4 = -2*h + 4*k. Find i, given that -7/4*i - 1/4*i**h + 5/4*i**2 + 3/4 = 0. 1, 3 Let t = 112513/8 - 14064. Suppose 0 + 1/2*y - t*y**2 = 0. Calculate y. 0, 4 Let d(s) be the second derivative of 1/20*s**5 - 1/48*s**4 + 29*s - 3/4*s**2 - 11/24*s**3 + 0. Factor d(u). (u - 2)*(u + 1)*(4*u + 3)/4 Let d(b) be the first derivative of 2*b**3/39 + 380*b**2/13 + 72200*b/13 + 380. Determine y so that d(y) = 0. -190 Let c(s) be the third derivative of 0*s + 0 - 14*s**2 - 2/15*s**4 - 1/150*s**5 - 16/15*s**3. Factor c(o). -2*(o + 4)**2/5 Let r(w) be the first derivative of 11 - 2/51*w**3 + 5/17*w**2 - 8/17*w. Factor r(m). -2*(m - 4)*(m - 1)/17 Factor 55*l**2 - 12*l**4 - 5*l**5 - 28*l**3 - 87*l**3 + 77*l**4. -5*l**2*(l - 11)*(l - 1)**2 Suppose -76 + 4 = -6*n. Let g be n/(-75)*20/(-8). Factor 32/5 + g*m**2 + 16/5*m. 2*(m + 4)**2/5 Suppose 2*q = 8 - 2. Let f = -6 + 8. Factor 2*l**2 + q*l**3 - 4*l**3 - 5*l**2 + 2*l**f. -l**2*(l + 1) Factor -759 - 2*g - 5*g**4 - 6*g**3 + 762 - 2*g**5 + g**5 - g + 10*g + 2*g**2. -(g - 1)*(g + 1)**3*(g + 3) Suppose 9*f - 10*f + 4*f**2 + 2*f**2 - 2*f**3 - 6 + 3*f = 0. Calculate f. -1, 1, 3 Let s(a) = a**2 + 2*a + 1. Let v(m) = 4*m - 9*m**2 + 15*m - 4*m + 1 + 13*m**2. Let o(g) = 5*s(g) - v(g). Suppose o(z) = 0. What is z? 1, 4 Let q(m) be the second derivative of m**5/50 - 59*m**4/5 + 13924*m**3/5 - 1643032*m**2/5 - 12*m + 7. Find g, given that q(g) = 0. 118 Let h(p) = -2*p**3 + 6*p**2 + 7*p + 2. Let u be h(-1). Let i(x) be the third derivative of -16/33*x**u + 0*x - 1/330*x**5 - 6*x**2 - 2/33*x**4 + 0. Factor i(o). -2*(o + 4)**2/11 Let q(d) be the third derivative of -d**5/24 - 15*d**4/8 + 107*d**2. Factor q(a). -5*a*(a + 18)/2 Let y(o) be the third derivative of o**9/3024 - o**8/840 + o**7/840 + o**3 + 6*o**2. Let c(g) be the first derivative of y(g). Find b such that c(b) = 0. 0, 1 Suppose -h + 6*c = c + 23, 15 = 3*c. Let v(t) be the first derivative of -t - 4 - 3*t + 3*t**h + 2*t**3 - 3*t**2 + t**2. Determine k so that v(k) = 0. -1, 2/3 Let q(l) be the third derivative of -l**6/480 - 11*l**5/240 + 2*l**2 - 8. Suppose q(p) = 0. What is p? -11, 0 Let k(v) = v**2 + 7*v - 8. Let s be k(-8). Let g(f) be the first derivative of 0*f + 1/15*f**3 + 1/20*f**4 + s*f**2 + 5. Factor g(u). u**2*(u + 1)/5 Suppose 0 = -15*o - o + 48. Let l(v) be the third derivative of 0*v**3 + 0*v**4 - 1/40*v**6 + 0 + o*v**2 + 1/20*v**5 + 0*v. Factor l(t). -3*t**2*(t - 1) Find z such that -1/11*z**5 + 4/11*z + 0 - 4/11*z**2 - 3/11*z**3 + 4/11*z**4 = 0. -1, 0, 1, 2 Let d(j) = -80*j**2 - 550*j - 1025. Let k(g) = 9*g**2 + 61*g + 114. Let o(m) = -4*d(m) - 35*k(m). Factor o(f). 5*(f + 2)*(f + 11) Let o(j) be the second derivative of 3*j**5/20 - 11*j**4/8 - 2*j**3 - 7*j**2 + 15*j. Let k(w) be the first derivative of o(w). Factor k(q). 3*(q - 4)*(3*q + 1) Let j(k) be the third derivative of 0*k**3 + 2/1155*k**7 + 0*k**4 + 0 + 0*k**5 - 7*k**2 + 0*k + 1/1848*k**8 + 1/660*k**6. Factor j(i). 2*i**3*(i + 1)**2/11 Find d such that 28*d + 392/3 - 4/3*d**4 + 20*d**3 - 244/3*d**2 = 0. -1, 2, 7 Suppose 3*t - 38 = 5*t. Let c(o) = -5*o - 93. Let v be c(t). Suppose 0 - 4/5*h**3 + 0*h**v + 4/5*h = 0. What is h? -1, 0, 1 Let s = 564 + -5074/9. Let c(g) be the first derivative of s*g**3 + 1/3*g**2 - 6 + 0*g. Determine i, given that c(i) = 0. -1, 0 Let o(x) = -8*x**2 - 12*x**3 + 40*x + 8 - 8. Let d(l) = -4*l**3 - 3*l**2 + 13*l. Let r(w) = -8*d(w) + 3*o(w). Find m, given that r(m) = 0. -2, 0, 2 Let v(n) be the first derivative of -n**6/9 + 11*n**5/15 + 5*n**4 + 3*n**3 + 930. Solve v(w) = 0. -3, -1/2, 0, 9 Suppose 3*v = 4*l, -l = v - 2*v. Suppose -8 = -4*c - v. Solve 8/5*z - 2/5*z**c + 0 = 0 for z. 0, 4 Let l(z) = -z**2 + z. Let c(j) = 5*j**2 - 4*j + 1. Let h(w) = 2*c(w) + 11*l(w). Let s be h(3). Factor -3*o + 3*o**2 + 0*o**s + 6 - 6*o. 3*(o - 2)*(o - 1) Let r be (-85)/1020*5/(-3). Let i(u) be the second derivative of -13*u + 1/6*u**2 - r*u**3 - 1/24*u**4 + 0. Find s such that i(s) = 0. -2, 1/3 Suppose 4*t - 10 = 2*v, 0 = -4*v - 0*v - t + 7. Suppose v = 3*r - 5. Find i, given that 0*i + 2/11*i**4 - 4/11*i**r + 0 - 2/11*i**3 = 0. -1, 0, 2 Solve 21/5*u**2 - 3/5*u**5 - 12/5 - 9/5*u**4 + 0*u + 3/5*u**3 = 0 for u. -2, -1, 1 Let a(c) be the third derivative of -c**6/60 + 4*c**5/15 + 5*c**4/4 - 18*c**3 - 777*c**2. Let a(k) = 0. Calculate k. -3, 2, 9 Let d = 1845/1222 + -6/611. Let 0 + d*j**3 + 6*j**2 + 6*j = 0. Calculate j. -2, 0 Let c(k) be the third derivative of k**6/60 + k**5/60 - k**4/6 - 5*k**2. Let t(h) = -3*h**3 + 4*h. Let q(b) = 4*c(b) + 3*t(b). Suppose q(m) = 0. What is m? 0, 2 Factor -989 - 120*l**2 + 225*l**3 - 125*l**4 + 20*l + 989. -5*l*(l - 1)*(5*l - 2)**2 Let y(i) be the first derivative of i**5/35 - 3*i**4/28 + i**3/21 + 3*i**2/14 - 2*i/7 - 65. Factor y(z). (z - 2)*(z - 1)**2*(z + 1)/7 Let o = 26 - 16. Suppose o*s - 4*s**2 - 5*s**2 - 4*s = 0. Calculate s. 0, 2/3 Let m(z) be the first derivative of 2*z**6/3 + 16*z**5/5 - 2*z**4 - 16*z**3 + 18*z**2 + 26. Find k, given that m(k) = 0. -3, 0, 1 Factor 11/2*f**2 + 1/4*f**3 - 1/4*f - 11/2. (f - 1)*(f + 1)*(f + 22)/4 Let l(x) be the first derivative of -4*x**3/3 - 372*x**2 - 34596*x - 16. Factor l(y). -4*(y + 93)**2 Let z be 0/3 + -5 + 40. Let p be (-9)/45 - (-22)/z. Factor p*l**2 + 6/7*l - 9/7. 3*(l - 1)*(l + 3)/7 Let g(i) be the second derivative of -i**5/90 - 2*i**4/3 + 25*i**3/9 - 38*i**2/9 + i - 84. Factor g(v). -2*(v - 1)**2*(v + 38)/9 Solve -2/3*c**4 - 112*c**3 - 14444/3*c**2 - 13778/3 - 9296*c = 0 for c. -83, -1 Suppose -2*i - 3*u = -7*u + 12, 3*u - 11 = i. What is k in 6*k - 2*k + 3*k**2 - i*k**2 + k = 0? 0, 5 Let v(y) be the third derivative of 0*y**3 - 1/840*y**7 + 0 + 1/448*y**8 + 0*y**5 - 1/240*y**6 + 0*y - 18*y**2 + 0*y**4. Determine n so that v(n) = 0. -2/3, 0, 1 Let w = 30 + -27. Determine q, given that 20*q**3 + 3*q**2 + w*q**2 + 12*q**5 - 10*q**2 - 28*q**4 = 0. 0, 1/3, 1 Let p(w) be the second derivative of -529*w**5/100 + 253*w**4/60 + 8*w**3 + 18*w**2/5 + 26*w - 1. Factor p(n). -(n - 1)*(23*n + 6)**2/5 Let q(w) be the second derivative of w**5/60 - 7*w**4/18 - 16*w**3/9 + 529*w. Let q(n) = 0. Calculate n. -2, 0, 16 Let p(n) be the second derivative of 0 + 10*n - 16/3*n**3 - 8*n**2 - 5/3*n**4 - 1/5*n**5. What is a in p(a) = 0? -2, -1 Let m(j) be the third derivative of j**9/211680 + j**8/35280 - j**5/20 + 18*j**2. Let r(s) be the third derivative of m(s). Factor r(h). 2*h**2*(h + 2)/7 Suppose 32*y = -114*y. Determine x, given that y*x + 0 + 3/7*x**2 = 0. 0 Let b = 751 - 747. Let t(k) be the second derivative of 5*k + 0 + 0*k**2 - 1/8*k**b + 0*k**3. What is d in t(d) = 0? 0 Suppose -2*s - 1 = h - 3, 8 = -4*h. Factor 0*f**2 - s*f**5 - f**5 - 6*f**2 + 50*f**3 - 41*f**3. -3*f**2*(f - 1)**2*(f + 2) Suppose 26*a**2 - 49*a**2 + 26*a**2 - 92*a + 24 + 25*a**2 = 0. What is a? 2/7, 3 Let y = 49655 - 7299245/147. Let t = y - -2/147. Factor -2/7*d**3 - 2/7*d**4 + 2/7*d**2 + 0*d + 0 + t*d**5. 2*d**2*(d - 1)**2*(d + 1)/7 Let m(v) be the second derivative of v**6/210 + v**5/140 - 3*v**4/28 + 11*v**3/42 - 2*v**2/7 + 366*v. Find k, given that m(k) = 0. -4, 1 Let r(u) be the second derivative of u**4/30 + u**3/15 - 2*u**2/5 - 11*u + 1. Factor r(t). 2*(t - 1)*(t + 2)/5 Let c = -16 - -20. Suppose 0 = 4*p - 16, -5*x - 7*p + c*p = -27. Factor -3*z + 335*z**2 - 332*z**2 - x*z. 3*z*(z - 2) Let h be (12/(-10))/((-10)/25). Determine j so that -h*j + 4*j + 6*j - 4*j**2 + 16 + 5*j = 0. -1, 4 What is k in -4/7*k**2 - 24/7*k - 36/7 = 0? -3 Let n(r) = 60*r**3 - 16*r**2 - 548*r + 232. Let a(y) = -40*y**3 + 11*y**2 + 365*y - 154. Let c(h) = -8*a(h) - 5*n(h). Factor c(z). 4*(z - 3)*(z + 3)*(5*z - 2) Suppose -3*q = -5*m - 30, 55*q - 4*m = 57*q + 24. Factor q*g**3 - 8/11*g - 1/11*g**4 + 6/11*g**2 + 3/11. -(g - 1)**3*(g + 3)/11 Let m
{ "pile_set_name": "DM Mathematics" }
What is the derivative of 4 + 2 + t - 4*l - 4 wrt l? -4 Let n = -3 - -6. What is the derivative of -255 + 5*x**4 + 266 + n*x**4 wrt x? 32*x**3 Let h(c) = -c**3 - 10*c**2 - 9*c + 4. Let z be h(-9). What is the derivative of 13*d - 1 - z*d + 4 - 2 wrt d? 9 Let n(b) be the first derivative of -28*b**6 - b**4/4 - 257*b**2/2 + 42. What is the second derivative of n(q) wrt q? -3360*q**3 - 6*q Let n(c) be the first derivative of 255*c**4/4 + c**3/3 + 83*c**2/2 - 227. Find the third derivative of n(q) wrt q. 1530 Let v(p) = -7. Let g(d) = -12. Let q(a) = -4*g(a) + 7*v(a). Let x(l) = -7*l**3 + 21. Let o(h) = q(h) - x(h). Find the first derivative of o(k) wrt k. 21*k**2 Let x be (-1 + 0)*(-3)/(-3). Let k = 2 - x. Find the third derivative of 3*z**3 - k*z**2 - 50*z + 50*z wrt z. 18 Find the third derivative of -83*k**3 - 74*k**2 + 22*k - 14*k - 6*k wrt k. -498 Let a(m) = -m - 1. Let i(p) = p**2 + 18*p - 13. Let o(u) = 2*a(u) + i(u). Let y be o(-17). Differentiate 2*f + y*f + 7 + 0 wrt f. 4 Let i(s) = 12*s - 92. Let y be i(8). Let z(f) be the first derivative of 0*f**2 + 0*f - 10/3*f**3 + 5 + 5/2*f**y. Find the third derivative of z(a) wrt a. 60 Let v(w) = 260*w**2 + 3*w - 56. Let k(f) = 1038*f**2 + 13*f - 225. Let x(j) = 6*k(j) - 26*v(j). Find the first derivative of x(z) wrt z. -1064*z Suppose 3*j = l + 8, -3*l + 16 = -2*l + 5*j. Let p be ((-3)/2)/((-9)/12). Find the first derivative of l - 2*c**p - 2*c**2 + 3*c**2 + 2*c**2 wrt c. 2*c Find the third derivative of -4*f + 15*f**6 + 156*f**5 - 300*f**5 + 4*f - 158*f**2 + 149*f**5 wrt f. 1800*f**3 + 300*f**2 Suppose -14*s + 9*s = 65. Let b = 19 + s. Find the third derivative of 3*m**6 + 15*m - 15*m + 5*m**2 + m**b wrt m. 480*m**3 Let k(i) = i - 2. Let w be k(6). Suppose 3*m - w = m. What is the third derivative of m*d**3 + 2*d**3 + 18 - 18 - 2*d**2 wrt d? 24 Let k(n) be the second derivative of -12*n**7 - n**3/3 + 187*n**2/2 + 65*n + 2. What is the second derivative of k(y) wrt y? -10080*y**3 What is the third derivative of -30*k**3 - 2*k**4 + 115*k**2 + 12 - 6 - 3*k**4 - 3 wrt k? -120*k - 180 Let p(b) be the first derivative of b - 5/2*b**2 + 5. Differentiate p(w) with respect to w. -5 Let o(h) be the third derivative of 17*h**7/210 - h**6/120 - 55*h**4/6 - 12*h**2. Find the second derivative of o(f) wrt f. 204*f**2 - 6*f Let s(n) be the second derivative of -32*n**7/21 - n**4/12 - n**3/2 - n + 4. What is the third derivative of s(d) wrt d? -3840*d**2 Let v(b) be the first derivative of -27*b**4 + 235*b**2/2 + 97. Find the second derivative of v(n) wrt n. -648*n Let z(a) be the third derivative of 9*a**4/8 - 170*a**3/3 + 332*a**2. Find the first derivative of z(h) wrt h. 27 Let u(q) be the second derivative of 209*q**3/6 - 290*q**2 - 427*q. What is the derivative of u(i) wrt i? 209 Let c(o) be the second derivative of 0 + 1/4*o**4 + 0*o**3 + 0*o**6 + 0*o**7 + 0*o**2 + 0*o**5 - 13/56*o**8 - 3*o. What is the third derivative of c(y) wrt y? -1560*y**3 Let n = 419 - 413. Let m(b) be the second derivative of 2*b**2 + 0*b**3 + 1/4*b**4 + 0 - n*b. Differentiate m(d) wrt d. 6*d Let t(g) be the second derivative of -13/6*g**4 + 0 + 8*g**2 + 0*g**3 + g. Find the first derivative of t(h) wrt h. -52*h Suppose 0 = 2*b + 2*i - 20, b + i + 29 = 3*b. What is the first derivative of 0 - b*u + 6 + 4 + 5 wrt u? -13 Let p = -25 - -27. Find the third derivative of 13*k**2 - 8*k**2 - 5*k**3 + 12*k**p wrt k. -30 Let d(n) = 22*n**4 + 45*n**2 - 8. Let s(i) = -7*i**4 - 15*i**2 + 3. Let t = 0 - -3. Let v(c) = t*d(c) + 8*s(c). Find the third derivative of v(l) wrt l. 240*l Let z(x) = -65*x**4 - 4*x**3 + 2*x**2 - 2*x - 10. Let w(s) = -129*s**4 - 10*s**3 + 5*s**2 - 5*s - 21. Let c(p) = -2*w(p) + 5*z(p). Differentiate c(q) wrt q. -268*q**3 Suppose -16*l + 41 = -23. Let b(w) = -20*w**2 - 38*w - 8. Let h(c) = 21*c**2 + 38*c + 6. Let n(j) = l*h(j) + 3*b(j). Find the second derivative of n(i) wrt i. 48 Suppose -4*p + 3*d + 208 = 0, p - 5*d - 35 = -0*p. Let c be (-8)/(-10)*p/22. What is the third derivative of -2*n**2 + 9*n**c + n**4 - 6*n**4 - n**2 wrt n? -120*n Let o(i) = -i**4 + i**3 - 3*i**2 - 92*i + 60. Let c(s) = s**4 + s**3 - 3*s**2. Let f(p) = -c(p) + o(p). Differentiate f(j) wrt j. -8*j**3 - 92 Let j(i) be the third derivative of -413*i**4/24 - 931*i**3/6 - 908*i**2. What is the derivative of j(v) wrt v? -413 Suppose -4*w = -3*y + 10, -15 = -2*y - 5*w + 7. Let m = y - 3. Differentiate o**3 + 3*o**m - 4*o**3 - 4 + 7*o**4 with respect to o. 28*o**3 Suppose 25*b - 1 = 49. Let h = -5 - -11. What is the third derivative of -4*l**h - 3*l**2 + l**6 + 2*l**b wrt l? -360*l**3 Suppose k = -3*q + 85, -q + 3*q - 61 = -5*k. What is the second derivative of -14*g**3 + 9*g + 11*g**3 + 4*g**3 - q*g wrt g? 6*g Let a be 104/(-3) + 2/(-6). Let c = 5 - a. What is the second derivative of -c*d**2 + 7*d + 7*d**4 + 40*d**2 wrt d? 84*d**2 Let q(v) be the third derivative of v**7/42 - 2*v**6/15 - 125*v**3/6 + 26*v**2 - 2*v. Find the first derivative of q(m) wrt m. 20*m**3 - 48*m**2 Let q be (-70)/490 - (-29)/7. Let m(o) be the first derivative of 0*o + 0*o**4 - 2/5*o**5 + 7/3*o**3 - q + 0*o**2. Find the third derivative of m(c) wrt c. -48*c Find the second derivative of 3*a**2 - 14*a**3 + 16*a**3 - 39*a - 26*a + 9*a**3 wrt a. 66*a + 6 Let q be (8/5)/(64/240). Let h(k) be the second derivative of 0*k**3 - 1/15*k**q + k + 0*k**4 + 0 + 0*k**5 + 1/2*k**2. What is the derivative of h(v) wrt v? -8*v**3 Let n(q) be the third derivative of -53*q**6/120 - 31*q**3/2 - 77*q**2. Find the first derivative of n(m) wrt m. -159*m**2 Let l(a) be the second derivative of 0*a**7 + 0*a**3 + 0*a**2 + 0 - 31/12*a**4 + 9/56*a**8 - 5*a + 0*a**5 + 0*a**6. What is the third derivative of l(c) wrt c? 1080*c**3 Let d(f) = 105*f**2 - 2*f + 415. Let x(u) = -108*u**2 + 2*u - 415. Let r(c) = 5*d(c) + 4*x(c). What is the second derivative of r(s) wrt s? 186 Find the third derivative of -15*o**2 + 0*o**2 + 0*o**2 - 48*o**5 - 10*o**2 wrt o. -2880*o**2 Suppose 4*l - 3 = 2*u + 1, 4*u - 10 = 2*l. Suppose -u*g - g = -15. What is the third derivative of 6*y**2 - 3*y**6 + g*y**2 - 3*y**2 wrt y? -360*y**3 Let b(f) = f**3 - 7*f**2 + 5*f + 9. Let p be b(6). Suppose 2*v = -p*v + 15. Find the second derivative of v*y**3 + 0*y + y + 0*y wrt y. 18*y Let u be ((-81)/(-12))/(1/20). Suppose -h + u = 5*z, -2*z + 31 = 3*h + 2*h. Find the second derivative of 19*m - 10*m**5 - z*m - m**5 wrt m. -220*m**3 Let s(p) be the third derivative of 3*p**6/40 - 7*p**5/60 + 22*p**4/3 + 143*p**2. What is the second derivative of s(y) wrt y? 54*y - 14 Let i(b) = 226*b**2 - 7*b - 184. Let d(a) = -151*a**2 + 5*a + 123. Let v(n) = -7*d(n) - 5*i(n). Differentiate v(y) with respect to y. -146*y Let o(p) = -4*p**4 - p**2 + p. Let w(q) = -78*q**6 + 20*q**4 + 138*q**2 - 5*q. Let t(n) = -5*o(n) - w(n). What is the third derivative of t(v) wrt v? 9360*v**3 Let m(y) be the second derivative of 0*y**4 + 0 + 0*y**3 + 5*y - 23/20*y**5 - 11*y**2. Differentiate m(z) wrt z. -69*z**2 Let t(u) = -u**2 - 12*u - 1. Let l be t(-10). What is the derivative of -34 - h + l - 22 + 30*h wrt h? 29 Let m(z) be the first derivative of 7*z**4/4 - z**3/3 - 94*z - 89. Differentiate m(o) wrt o. 21*o**2 - 2*o Find the third derivative of -45*r**2 - 933*r**3 + 831*r**3 - 6*r**2 wrt r. -612 Let l(c) = c**3 - 8*c**2 + 14*c - 8. Let a be l(6). What is the second derivative of -39*p**4 + 0*p**2 + 0*p**2 - 16*p + 54*p**a wrt p? 180*p**2 Let x be 955/150 + 3/(-18) - 6. Let h(c) be the first derivative of -3/2*c**2 - 4 + x*c**5 + 0*c**4 + 0*c + 0*c**3. Find the second derivative of h(z) wrt z. 12*z**2 Suppose 0 = -2*l + 4, -l - 27 + 5 = -2*w. Find the second derivative of 2*b + 4*b + w*b**3 + b wrt b. 72*b Let g = 4 - 2. Let w be 1/g*(4 - -2). Find the second derivative of -2*k**2 - 2*k + 2*k**2 + 6*k**w + 0*k**2 wrt k. 36*k Let k(x) be the second derivative of -13*x**7/7 + x**4/6 - 4*x**3/3 + 78*x. Find the third derivative of k(p) wrt p. -4680*p**2 Let a(m) be the second derivative of 0*m**5 - 5*m + 0*m**2 + 0 + 1/3*m**6 + 0*m**3 + 3/4*m**4. What is the third derivative of a(i) wrt i? 240*i Let s(y) = y**2 - 17*y + 33. Let q be s(15). What is the second derivative of -142*v**4 + v**3 + 164*v**4 - v**3 + q*v wrt v? 264*v**2 Let l be (-6)/5 - 2/(-10). Let f be
{ "pile_set_name": "DM Mathematics" }
ds? 72576 What is 0.827636m in micrometers? 827636 What is thirteen quarters of a week in minutes? 32760 How many centimeters are there in 9497.55 meters? 949755 How many nanograms are there in 1/10 of a milligram? 100000 What is 21/4 of a gram in milligrams? 5250 Convert 2350.492 centuries to decades. 23504.92 What is 6.1189911ms in hours? 0.00000169971975 How many millilitres are there in 3.957977l? 3957.977 What is 1/5 of a decade in years? 2 What is 2.380838l in millilitres? 2380.838 How many decades are there in 0.1252445 millennia? 12.52445 What is 6/5 of a microgram in nanograms? 1200 How many micrometers are there in three fifths of a millimeter? 600 How many milliseconds are there in 15436.07 nanoseconds? 0.01543607 Convert 942.8912 millennia to decades. 94289.12 How many millimeters are there in one fifth of a centimeter? 2 What is 973395.9 decades in months? 116807508 Convert 28452.921 minutes to hours. 474.21535 How many years are there in 18/5 of a century? 360 What is twenty-one halves of a decade in years? 105 How many milligrams are there in thirty-seven halves of a gram? 18500 What is one fifth of a litre in millilitres? 200 How many years are there in 0.0460163 millennia? 46.0163 What is 10.21234mg in kilograms? 0.00001021234 How many millilitres are there in thirty-seven halves of a litre? 18500 How many litres are there in 0.5620624ml? 0.0005620624 How many months are there in one fifth of a decade? 24 Convert 0.0927489mm to centimeters. 0.00927489 How many millilitres are there in thirty-seven halves of a litre? 18500 Convert 40818.52 litres to millilitres. 40818520 How many micrograms are there in eighteen fifths of a milligram? 3600 What is eight fifteenths of a millennium in months? 6400 How many nanograms are there in 11/8 of a microgram? 1375 What is 13/8 of a kilogram in grams? 1625 Convert 87431.61ms to nanoseconds. 87431610000 What is 13.805328 minutes in hours? 0.2300888 How many nanometers are there in 29/5 of a micrometer? 5800 Convert 2369.2716 months to decades. 19.74393 What is 3/40 of a millennium in months? 900 What is 390698.8 years in decades? 39069.88 What is 522.8471 nanoseconds in milliseconds? 0.0005228471 How many nanometers are there in 0.1572324 kilometers? 157232400000 How many seconds are there in 0.3669095 weeks? 221906.8656 What is 17/4 of a litre in millilitres? 4250 Convert 21.928818 months to years. 1.8274015 How many centuries are there in 55711.6 millennia? 557116 Convert 877.7321 litres to millilitres. 877732.1 What is 3/40 of a microgram in nanograms? 75 What is 66.7077 decades in years? 667.077 How many micrograms are there in thirteen fifths of a milligram? 2600 How many hours are there in 7.1245296us? 0.000000001979036 What is 54/5 of a litre in millilitres? 10800 What is 2514.122 centimeters in micrometers? 25141220 How many millimeters are there in 4076.054km? 4076054000 Convert 8.771981 centuries to months. 10526.3772 What is 49.26485l in millilitres? 49264.85 What is 0.5585483ns in seconds? 0.0000000005585483 What is fourty-three halves of a litre in millilitres? 21500 How many millilitres are there in 6725.218l? 6725218 What is 646.5952 years in decades? 64.65952 What is fifteen quarters of a meter in centimeters? 375 What is 7/6 of a millennium in months? 14000 Convert 5.602194ml to litres. 0.005602194 What is one fifth of a centimeter in micrometers? 2000 How many nanoseconds are there in 54838.98 hours? 197420328000000000 What is three fifths of a litre in millilitres? 600 How many litres are there in 11942.79ml? 11.94279 What is eleven halves of a litre in millilitres? 5500 How many milliseconds are there in 9/10 of a minute? 54000 How many litres are there in 4.993289 millilitres? 0.004993289 What is 730438.7l in millilitres? 730438700 How many weeks are there in 11737.57095 seconds? 0.019407359375 Convert 20226.26 years to decades. 2022.626 What is 53.54023ng in tonnes? 0.00000000000005354023 How many millilitres are there in twenty-five halves of a litre? 12500 How many micrometers are there in one twentieth of a millimeter? 50 Convert 3.01531 years to centuries. 0.0301531 Convert 60536.02 millennia to months. 726432240 What is 43/4 of a day in minutes? 15480 What is 17/4 of a hour in seconds? 15300 What is eighteen fifths of a tonne in kilograms? 3600 What is 0.4880148 seconds in minutes? 0.00813358 How many milliseconds are there in 60123.4 seconds? 60123400 How many meters are there in 31/5 of a kilometer? 6200 What is 197.7737kg in micrograms? 197773700000 How many minutes are there in 49/6 of a day? 11760 How many millilitres are there in 3/5 of a litre? 600 What is 3624.119 decades in centuries? 362.4119 How many months are there in 9618.513 centuries? 11542215.6 Convert 0.5525563 litres to millilitres. 552.5563 How many nanometers are there in 0.0696974 centimeters? 696974 What is nine tenths of a kilometer in meters? 900 Convert 0.8145808 meters to millimeters. 814.5808 How many months are there in 3/50 of a millennium? 720 What is 13/5 of a litre in millilitres? 2600 Convert 616591.2 centuries to years. 61659120 What is 15/4 of a day in hours? 90 Convert 3346.646g to kilograms. 3.346646 How many meters are there in five quarters of a kilometer? 1250 How many micrograms are there in 3/5 of a milligram? 600 What is five quarters of a meter in centimeters? 125 What is thirty-four fifths of a litre in millilitres? 6800 What is 5550.037 litres in millilitres? 5550037 What is six fifths of a litre in millilitres? 1200 What is fourty-five halves of a decade in years? 225 What is 2186082.9 microseconds in hours? 0.00060724525 What is one fifth of a kilometer in centimeters? 20000 What is 3/10 of a kilogram in grams? 300 How many millilitres are there in 563680.9l? 563680900 How many millennia are there in 0.7801273 years? 0.0007801273 How many millilitres are there in one tenth of a litre? 100 Convert 8625.773 litres to millilitres. 8625773 What is seven thirds of a century in months? 2800 Convert 17718.7 kilograms to milligrams. 17718700000 How many nanometers are there in 81776.78um? 81776780 Convert 3765.195 tonnes to nanograms. 3765195000000000000 How many months are there in three tenths of a millennium? 3600 What is 0.2010113 millennia in months? 2412.1356 How many micrometers are there in 13/4 of a centimeter? 32500 Convert 4353.042 nanometers to millimeters. 0.004353042 Convert 0.0275921 millilitres to litres. 0.0000275921 How many months are there in 37/2 of a decade? 2220 How many micrometers are there in 0.8956721 nanometers? 0.0008956721 What is 0.5797929 centuries in years? 57.97929 How many milliseconds are there in 54/5 of a second? 10800 How many milliseconds are there in one tenth of a minute? 6000 How many micrometers are there in 1/4 of a millimeter? 250 How many months are there in 11/2 of a decade? 660 What is one tenth of a meter in millimeters? 100 How many nanograms are there in 0.5451028 kilograms? 545102800000 What is 25489.75 micrometers in nanometers? 25489750 How many nanograms are there in 34/5 of a microgram? 6800 How many nanograms are there in seventeen quarters of a microgram? 4250 What is 33/5 of a century in decades? 66 How many micrometers are there in 6/5 of a millimeter? 1200 What is one fifth of a century in decades? 2 What is 3/5 of a millennium in centuries? 6 Convert 15.86343 decades to years. 158.6343 How many months are there in 11/8 of a century? 1650 Convert 508.39299 days to weeks. 72.62757 What is 3/40 of a milligram in nanograms? 75000 Convert 581765.3t to nanograms. 581765300000000000000 What is 25/4 of a millennium in decades? 625 What is 287.6129 milligrams in grams? 0.2876129 What is 0.980231 centuries in years? 98.0231 How many litres are there in 268130.4ml? 268.1304 Convert 0.6358704 meters to nanometers. 635870400 Convert 9.801181mm to kilometers. 0.000009801181 How many litres are there in 7389.043ml? 7.389043 How many grams are there in eighteen fifths of a kilogram? 3600 What is 0.2698372 millilitres in litres? 0.0002698372 How many milligrams are there in 6483.878ug? 6.483878 What is one quarter of a litre in millilitres? 250 Convert 3764.12 weeks to hours. 632372.16 How many millimeters are there in 31/5
{ "pile_set_name": "DM Mathematics" }
o(t) = -11*t + 3. Calculate a*g(d) + c*o(d). 3*d + 1 Let i(f) = 14*f + 31. Let c(w) = -4 - 5 - 3*w + 3. Let t(j) = 11*c(j) + 2*i(j). Let p(y) = 2 + 6 - 3 + 6*y. Calculate 3*p(n) + 4*t(n). -2*n - 1 Let h(i) = -3668*i - 96. Let w(a) = -2445*a - 60. Calculate 5*h(s) - 8*w(s). 1220*s Let q(u) = 5*u**2 + 3*u**3 + 0*u + 2*u - 4*u. Let l(j) = -j**3 - j**2. Let x be (-28)/63 + 369/(-81). Give x*l(h) - q(h). 2*h**3 + 2*h Let k(y) = -145*y**2 + 14*y - 14. Let i(w) = 72*w**2 - 6*w + 6. Give 9*i(v) + 4*k(v). 68*v**2 + 2*v - 2 Let x(j) = 3 + 3*j + 5*j - 13*j - 2*j - 5. Let f(t) = -10*t - 3. What is 5*f(k) - 7*x(k)? -k - 1 Let x(g) be the first derivative of 55*g**2/2 + 1. Let j(p) = -27314*p + 13652*p + 13654*p. Determine -20*j(r) - 3*x(r). -5*r Let g(v) = 91*v. Let z(x) = -10*x. Suppose c = -1, 5*s + 4*c + 0*c + 19 = 0. Determine s*g(n) - 26*z(n). -13*n Let k(b) be the first derivative of -7*b**4/4 + 4*b**3/3 - 357. Let u(l) = 15*l**3 - 9*l**2. Let a be 45/12 + 3/12. Give a*u(q) + 9*k(q). -3*q**3 Let v(h) = 1515*h + 14. Let k(b) = 253*b + 2. Give 13*k(x) - 2*v(x). 259*x - 2 Let p(f) = f**3 - f**2 - f + 1. Let i(d) = -21*d**3 + 4*d**2 + d - 6. Calculate -i(v) - 4*p(v). 17*v**3 + 3*v + 2 Let s(p) = 16*p**3 - 11*p**2. Let z(a) = -3*a**3 + 2*a**2. Suppose -35*d + 28*d + 154 = 0. What is d*z(l) + 4*s(l)? -2*l**3 Let x(l) = 105*l**2 + 5*l - 4. Let c(p) = 53*p**2 + 2*p - 1. Calculate -5*c(j) + 2*x(j). -55*j**2 - 3 Let g(i) = -i**2 + 19*i + 5. Let h be g(0). Let q(o) = 7*o**3 + 7*o**2 - 6*o + 7. Let f(p) = p - 6 + 4*p + 0*p**2 - 6*p**3 - 6*p**2. Calculate h*q(k) + 6*f(k). -k**3 - k**2 - 1 Let w(d) = -14*d**3 - 11*d**2 - 3*d + 11. Let u(b) = -5*b**3 - 4*b**2 - b + 4. Determine -11*u(f) + 4*w(f). -f**3 - f Let d(j) = -j**3 - j**2 - 5. Let r(s) = -99*s - 199. Let p be r(-2). Let y(m) = -m**2 - 1. Determine p*y(t) + d(t). -t**3 - 4 Let m(g) = -33*g - 49. Let v(j) = 11*j + 17. Give -6*m(k) - 17*v(k). 11*k + 5 Let d(n) = 3*n. Let b(u) = -19*u - 23. Determine b(j) + 6*d(j). -j - 23 Let x(a) = -3*a**2 + 2*a. Let w(p) = -5*p**2 + 11*p + 9. Let z(g) = 35*g**2 - 75*g - 60. Let b(q) = -20*w(q) - 3*z(q). Give 6*b(d) - 15*x(d). 15*d**2 Let d(s) = -8*s**2 - 17*s - 6. Let w(z) = 7*z**2 + 14*z + 6. Let f(a) = -3*d(a) - 4*w(a). Let h(v) = v**2 + v. What is f(b) + 5*h(b)? b**2 - 6 Let i(z) = -z + 4. Let p(m) be the second derivative of 1/6*m**3 + 0 - 3/2*m**2 + 22*m. Give 3*i(q) + 4*p(q). q Let k(j) = 8*j**3 + j**2 - 4*j + 6. Let q(w) = 94*w**3 + 1 - 93*w**3 + 2*w - 3*w + 0*w + 0*w. Suppose 0*b + 2 = -2*b. Give b*k(p) + 4*q(p). -4*p**3 - p**2 - 2 Let f(y) = -6*y**3 + 7*y**2 + 5*y + 3. Let v(w) = 7*w**3 - 8*w**2 - 6*w - 4. Let z be -36 + -1 - (-10 - -7). Let c be 72/z + -3 - 6/(-51). Give c*v(b) - 6*f(b). b**3 - 2*b**2 + 2 Suppose 2*b = 5*r - 4, -5*r + 3*r + 4*b - 8 = 0. Let w(f) = -3*f + 3. Let h(x) = 7*x - 6. What is r*h(u) + 5*w(u)? -u + 3 Let g(w) = -8*w**3 + 12. Let q(z) = -z**3 + 1. Let p be ((-17)/34)/((-3)/(-6)). What is p*g(n) + 12*q(n)? -4*n**3 Let c(d) = 2*d + 1. Let r(x) = -29. Calculate 3*c(p) + r(p). 6*p - 26 Let y(r) = -14*r + 7. Let o(b) = -15*b + 8. Give 6*o(z) - 7*y(z). 8*z - 1 Let l(y) = -8*y - 3. Let c = -1031 + 1027. Suppose 2*w - 4*t + 4 = t, 3*t = 2*w. Let s(h) = -9*h - 4. Calculate c*l(j) + w*s(j). 5*j Let j(w) = -w**3 - 91*w**2. Let x(q) = -3*q**3 - 183*q**2. Calculate 5*j(m) - 2*x(m). m**3 - 89*m**2 Let k(m) = -59*m + 5. Let q(j) = -58*j + 4. Determine 4*k(x) - 5*q(x). 54*x Let k(s) = s**2. Let o(q) = 6*q**3 + 3*q**2 - 3*q + 1. Determine 3*k(b) - o(b). -6*b**3 + 3*b - 1 Let p(d) be the first derivative of d**4/2 + d**2 + 7*d + 244. Let a(t) = 2*t**3 + 2*t + 8. What is -5*a(o) + 6*p(o)? 2*o**3 + 2*o + 2 Let b(h) = -2746*h**3 - 5 + 2 + 2742*h**3. Let f(g) = 5*g**3 + 4. Suppose 2*q - 13 = 3*q - 3*n, 0 = 5*q + 4*n + 8. Determine q*b(p) - 3*f(p). p**3 Let c(t) = -5*t + 67. Let k(h) = -2*h. Give -c(g) + 2*k(g). g - 67 Let i(o) = 71*o**3 - 5*o**2 - 2*o. Let b(h) = 35*h**3 - 2*h**2 - h. Determine -7*b(s) + 3*i(s). -32*s**3 - s**2 + s Let t(z) = 19*z**2 + 18*z - 6. Let w(i) = -18*i**2 - 16*i + 5. Give 5*t(q) + 6*w(q). -13*q**2 - 6*q Let a(r) = -4*r**3 + 44*r**2 + 44*r. Let b(g) = -g**2 - g. Let d(s) = -6*s**3 - 4*s**2 - 17*s - 1. Let w be d(-3). Calculate w*b(f) + 4*a(f). -16*f**3 Suppose 0 = 64*f - 54*f + 40. Suppose 2*q = -3*q + 35. Let v(t) = -13*t - 11. Let c(u) = -7*u - 6. Determine f*v(l) + q*c(l). 3*l + 2 Let w(c) = -7*c + 9. Suppose 0*g + 4*g + 8 = 0. Let s(k) = -2. Let q(z) = -11*z + 18. Let j(d) = g*s(d) - q(d). What is -5*j(f) - 8*w(f)? f - 2 Let r(g) = -14*g**2 + 14*g - 1. Let w(a) = 9*a**2 - 9*a + 1. Suppose 0 = 8*v + 23 - 87. What is v*w(u) + 5*r(u)? 2*u**2 - 2*u + 3 Let l(w) = -17*w**3 - 2*w**2 - w - 1. Let a(o) = -17*o**3 - 3*o**2 - o - 1. Give -2*a(h) + 3*l(h). -17*h**3 - h - 1 Let f(m) = 2*m. Let r(z) be the second derivative of -z**5/40 + z**3/6 - 9*z. Let l(d) be the second derivative of r(d). Give -7*f(v) - 4*l(v). -2*v Let k(t) = -t**2 + 4. Let l be 0 + (-1 - 0)*3. Let d = -1 - l. Let g(z) = 4 + 2*z**d - 11 + 0. Calculate -4*g(p) - 7*k(p). -p**2 Let z(f) = -4 + 4 - 3*f + 0. Suppose 7 = l + 2. Suppose 4*r + h - 14 = 0, l*r - 4 = -3*h + 10. Let c(j) = -j. Calculate r*z(p) - 9*c(p). -3*p Let v(y) = -y - 1. Let d(t) = -t**2 - 4*t - 3. What is -d(h) + 5*v(h)? h**2 - h - 2 Let k(g) be the second derivative of -2*g**5/5 + g**4/12 - 5*g**2/2 - 13*g + 4. Let w(n) = 7*n**3 - n**2 + 4. Determine -5*k(i) - 6*w(i). -2*i**3 + i**2 + 1 Let d(l) = l**3 - 3*l**2 + l + 3. Let u be d(0). Let n(k) = -2*k**2 + 2. Let h(b) = 2*b**2 - 2. Calculate u*n(z) + 2*h(z). -2*z**2 + 2 Let h(n) = n**3 + 153*n**2 + n. Let s(l) = 2*l**3 + l**2 + l. Determine h(b) - s(b). -b**3 + 152*b**2 Let o(g) = 18*g**2 + 2*g - 5. Let n(z) = -34*z**2 - 4*z + 8. What is -3*n(w) - 5*o(w)? 12*w**2 + 2*w + 1 Let r(o) = 7582*o + 340. Let a(l) = -133*l - 6. Calculate 170*a(g) + 3*r(g). 136*g Let g be 100/80*(-72)/(-15). Let o(y) = 8*y**2 - 6*y + 5. Let m(z) = -z**2 + z. Calculate g*m(n) + o(n). 2*n**2 + 5 Let n(u) = -17*u**2 + u - 4. Let z(t) = -19*t**2 - 6. Let y(c) = 5*n(c) - 4*z(c). Let w(h) = 8 + 6*h - 3 + 0*h - 10*h**2. Determine -5*w(j) + 6*y(j). -4*j**2 - 1 Suppose -15*u = 74 + 16. Let h(p) = -16*p**2 + 6*p - 6. Let y(i) = -65*i**2 + 25*i - 25. Determine u*y(j) + 25*h(j). -10*j**2 Let f(d) = 9*d + 8*d - 4*d - 4*d**2. Let r = -23 + 5. Let l(k) = -k**2 - 16*k + 25. Let g be l(r). Let n(o) = 2*o**2 - 7*o. Determine g*n(s) - 6*f(s). 2*s**2 - s Let f(z) = z. Let u(y) = -3*y**3 + y**2 + y. Let n be u(-1). Let l(m) = -m + n*m**2 - 4*m**2 + 9*m - 2*m**2. Calculate -6*f(g) + l(g). -3*g**2 + 2*g Let j(z) = 6*z - 5. Suppose -4*r + 2*s = 8 - 0, 5*r = -s + 4. Let u(d) = d - 1 + r*d + 0*d. Suppose 0 = p + 3 - 4. What is p*j(a) - 5*u(a)? a Let p(m) = 3*m**2 + m - 4. Suppose 3*k - 6 = 5*k. Let n(s) be the first derivative of -2*s**3/3 - s**2/2 + 3*s + 65. Give k*p(y) - 4*n(y). -y**2 + y Let v(a) = -14*a. Let z(g) = -g**3 - 4*g**2 + 2*g + 17. Let t be z(-4). Let x(s) = 7*s. Give t*x(f) + 4*v(f). 7*f Let h(n) be the first derivative of -40 + 1/2*n**2 - n. Let f(j) = -2*j + 4. Give f(z) + 3*h(z). z + 1 Let m(k) = -k**2 + k. Let q(f) = f**2 - 2*f. Let i be 0/((-4)/(-2)) - 12/(-3). Let o(b) = b**3 - 4*b**2 + 3. Let a be o(i). Calculate a*m(n) + q(n). -2*n**2 + n Let j(a) = -138*a - 2. Let n(k) = k. What is -j(h) - 2*n(h)? 136*h + 2 Let s(z) = 165*z + 95. Let k(t) = -1815*t - 1040. Let q(l) = 6*k(l) + 65*s(l). Let g(p) = -15*p - 6. Give 65*g(a) - 6*q(a). 15*a Let f(w) = w**3 - 4*w + 2. Let q(i) = -25*i - 78. Let p be q(-3). Let u(l) be the second derivative of l**5/10 - 5*l**3/6 + l**2 + 2*l. Give p*f(o) + 2*u(o). o**3 + 2*o - 2 Let t be (6 + 0)*3/9. Suppose 20*f = 16*f + l + 10, 5*f = -3*l + 21. Let x(d) = -d - 2. Let s(n) = 2. Give f*s(j) + t*x(j). -2*j + 2 Let s(r) = r + 1. Let t(a) = 2*a - 4. Determine -2*s(i) - t(i). -4*i + 2 Let h = -9 + 4. Let w(t) = -1 + 8*t - 8*t - 3*t**3 + 6*t**3 + 5*t**2. Let g(z) = 3*z**3 + 6*z**2 - 1. Give h*g(b) + 6*w(b). 3*b**3 - 1 Let j(x) = 6*x - 39*x**3 - 30*x**3 + 95*x**3 + 9*x - 35*x**3. Let q = -29 + 44. Let i(c) = 2*c**3 - 4*c. Calculate q*i(k) + 4*j(k). -6*k**3 Let v(y) = y**2 + y + 1. Let j(r) be the second derivative of -8*r + 0*r**2 + 0 - 1/6*r**3. Suppose 5*f - 5
{ "pile_set_name": "DM Mathematics" }
What is prob of picking 2 k and 1 i when three letters picked without replacement from {k: 2, x: 4, c: 2, a: 1, i: 1, z: 4}? 1/364 Two letters picked without replacement from kfgogffvefffegffk. Give prob of picking 1 g and 1 o. 3/136 What is prob of picking 2 f when two letters picked without replacement from {s: 2, f: 2, a: 1, e: 2, w: 1}? 1/28 Four letters picked without replacement from dapppaapspqppapppps. What is prob of picking 2 p, 1 q, and 1 s? 55/1938 Two letters picked without replacement from {p: 1, c: 2, v: 5, h: 1, f: 1}. What is prob of picking 1 v and 1 c? 2/9 Two letters picked without replacement from {g: 1, j: 2, p: 1, c: 2, t: 1}. What is prob of picking 2 c? 1/21 Four letters picked without replacement from {f: 1, c: 2, k: 3, a: 4}. What is prob of picking 2 c, 1 k, and 1 a? 2/35 Three letters picked without replacement from rarlbltalbaa. What is prob of picking 2 r and 1 b? 1/110 Two letters picked without replacement from {n: 3, i: 8}. What is prob of picking 2 n? 3/55 Calculate prob of picking 2 q when two letters picked without replacement from {q: 7}. 1 Three letters picked without replacement from {q: 6, r: 7, a: 6}. What is prob of picking 2 q and 1 a? 30/323 Three letters picked without replacement from {w: 7, a: 11, n: 1}. Give prob of picking 3 w. 35/969 What is prob of picking 1 m and 1 e when two letters picked without replacement from {m: 10, e: 2}? 10/33 What is prob of picking 1 n, 2 y, and 1 j when four letters picked without replacement from nyjnnnnnyynnnnnn? 9/455 Three letters picked without replacement from {o: 1, h: 1, i: 1, t: 1, j: 2, d: 1}. What is prob of picking 1 d, 1 j, and 1 o? 2/35 Two letters picked without replacement from {a: 2, y: 2, w: 4, b: 9, r: 1, h: 2}. Give prob of picking 1 w and 1 y. 4/95 Two letters picked without replacement from zljwswz. What is prob of picking 1 z and 1 l? 2/21 What is prob of picking 1 u, 1 f, and 1 w when three letters picked without replacement from lruullgfuuwuulg? 6/455 Four letters picked without replacement from {h: 2, i: 5, q: 5, f: 5, j: 1}. What is prob of picking 1 h, 1 j, and 2 f? 1/153 Four letters picked without replacement from dodaazzaodaobo. What is prob of picking 2 d and 2 o? 18/1001 Four letters picked without replacement from ihteooeehhie. What is prob of picking 3 e and 1 h? 4/165 What is prob of picking 1 f, 1 p, and 1 d when three letters picked without replacement from {f: 1, r: 2, t: 6, p: 3, d: 1}? 3/286 Four letters picked without replacement from {b: 7, e: 5}. Give prob of picking 4 e. 1/99 Two letters picked without replacement from xxfqqqxfxuqxxqa. What is prob of picking 2 x? 1/7 What is prob of picking 1 i and 1 r when two letters picked without replacement from {g: 1, r: 2, t: 1, i: 1, z: 2}? 2/21 Calculate prob of picking 1 k and 2 r when three letters picked without replacement from {b: 3, f: 1, r: 2, y: 1, k: 1, i: 4}. 1/220 Calculate prob of picking 2 x when two letters picked without replacement from canxxax. 1/7 What is prob of picking 2 y and 1 f when three letters picked without replacement from ffffffffyyfy? 27/220 Calculate prob of picking 1 r and 1 b when two letters picked without replacement from gjjrjrb. 2/21 What is prob of picking 3 c when three letters picked without replacement from {d: 7, c: 2}? 0 What is prob of picking 3 w when three letters picked without replacement from dddwwdddddwddwwddddd? 1/114 Calculate prob of picking 1 v and 1 i when two letters picked without replacement from ooiaovoiaoo. 2/55 Two letters picked without replacement from {v: 1, a: 7}. What is prob of picking 1 v and 1 a? 1/4 Calculate prob of picking 1 w and 1 r when two letters picked without replacement from nttrwrrrrlwt. 5/33 Three letters picked without replacement from {y: 2, z: 6}. What is prob of picking 3 z? 5/14 Two letters picked without replacement from {q: 5, f: 3}. What is prob of picking 1 q and 1 f? 15/28 What is prob of picking 1 x and 2 f when three letters picked without replacement from {f: 6, x: 4, r: 4}? 15/91 Two letters picked without replacement from {g: 9, f: 10}. What is prob of picking 1 g and 1 f? 10/19 Three letters picked without replacement from ennnenmeenmmennmneme. What is prob of picking 2 n and 1 e? 49/285 Four letters picked without replacement from {q: 2, g: 2, p: 4, y: 4}. Give prob of picking 2 q, 1 p, and 1 g. 8/495 What is prob of picking 1 c and 1 l when two letters picked without replacement from {l: 5, a: 4, n: 8, c: 2}? 10/171 Calculate prob of picking 1 s and 2 p when three letters picked without replacement from ppsppppp. 3/8 Calculate prob of picking 3 q when three letters picked without replacement from sssqrqqrqssqrrsqrqs. 35/969 Three letters picked without replacement from sxss. What is prob of picking 3 s? 1/4 Three letters picked without replacement from pvvvppvv. Give prob of picking 2 p and 1 v. 15/56 What is prob of picking 4 y when four letters picked without replacement from {y: 5}? 1 Two letters picked without replacement from {k: 5, w: 4, j: 5}. Give prob of picking 2 j. 10/91 What is prob of picking 1 c, 1 f, and 1 b when three letters picked without replacement from cfsqsbqb? 1/28 Four letters picked without replacement from {o: 5, t: 13}. Give prob of picking 3 t and 1 o. 143/306 What is prob of picking 4 a when four letters picked without replacement from aaavvaavavvaaaaava? 11/68 Calculate prob of picking 1 z, 2 w, and 1 k when four letters picked without replacement from zhhwhkzhzhhk. 0 Two letters picked without replacement from {w: 2, p: 4, l: 2, c: 12}. What is prob of picking 1 c and 1 p? 24/95 Four letters picked without replacement from iiiooofi. Give prob of picking 1 f, 1 o, and 2 i. 9/35 Three letters picked without replacement from eiefuii. What is prob of picking 1 f and 2 i? 3/35 Two letters picked without replacement from {b: 2, i: 4, s: 1, v: 3, z: 1}. What is prob of picking 1 s and 1 b? 2/55 Three letters picked without replacement from {i: 4, c: 2, d: 2, x: 5}. Give prob of picking 1 x, 1 d, and 1 i. 20/143 Two letters picked without replacement from aggggaag. Give prob of picking 2 a. 3/28 Two letters picked without replacement from {x: 1, a: 2, z: 1, f: 2, l: 1}. Give prob of picking 1 z and 1 x. 1/21 Calculate prob of picking 2 t when two letters picked without replacement from tttttt. 1 Four letters picked without replacement from oohopooqpoop. Give prob of picking 3 h and 1 q. 0 Three letters picked without replacement from xllwxwll. What is prob of picking 2 w and 1 l? 1/14 Four letters picked without replacement from {v: 2, j: 8}. Give prob of picking 2 j and 2 v. 2/15 Calculate prob of picking 2 p and 1 r when three letters picked without replacement from tptreppppepqt. 15/286 Three letters picked without replacement from osowpwyn. Give prob of picking 1 p and 2 w. 1/56 Four letters picked without replacement from zieize. What is prob of picking 2 z and 2 i? 1/15 Two letters picked without replacement from {o: 1, r: 1, l: 7, d: 4, w: 3}. Give prob of picking 2 w. 1/40 What is prob of picking 1 n and 1 t when two letters picked without replacement from {v: 1, f: 2, n: 1, k: 2, t: 1, m: 2}? 1/36 Calculate prob of picking 2 k and 1 f when three letters picked without replacement from kkfkfkkkkffkkkkf. 55/112 Four letters picked without replacement from {o: 3, r: 2}. Give prob of picking 2 o and 2 r. 3/5 Three letters picked without replacement from {n: 1, h: 3, b: 1}. Give prob of picking 1 n, 1 b, and 1 h. 3/10 What is prob of picking 3 r when three letters picked without replacement from {r: 6, a: 3, m: 2, x: 1}? 1/11 Two letters picked without replacement from akkjanakaana. What is prob of picking 2 k? 1/22 Four letters picked without replacement from {u: 5, x: 4, r: 5}. What is prob of picking 1 x, 2 u, and 1 r? 200/1001 What is prob of picking 2 k, 1 f, and 1 j when four letters picked without replacement from kvkfkjfffiffp? 18/715 Two letters picked without replacement from {z: 5, b: 4, q: 2}. What is prob of picking 2 z? 2/11 Two letters picked without replacement from {e: 2, k: 1, v: 1, d: 1, n: 2, u: 2}. Give prob of picking 2 e. 1/36 Four letters picked without replacement from {y: 2, m: 3, s: 1, x: 3, j: 1, p: 5}. What is prob o
{ "pile_set_name": "DM Mathematics" }
5 micrometers? 0.1526885 How many seconds are there in 7.57561 milliseconds? 0.00757561 Convert 0.7006048 millennia to centuries. 7.006048 How many decades are there in 23.691027 months? 0.197425225 Convert 2.79114 weeks to microseconds. 1688081472000 How many kilograms are there in 24306.25mg? 0.02430625 Convert 4978.452 hours to nanoseconds. 17922427200000000 What is 20553.45 hours in microseconds? 73992420000000 How many millimeters are there in one tenth of a meter? 100 Convert 6895.134mg to grams. 6.895134 Convert 0.7559736 nanoseconds to milliseconds. 0.0000007559736 How many grams are there in 1/4 of a kilogram? 250 How many millilitres are there in 0.4484442l? 448.4442 Convert 81620.06 kilograms to nanograms. 81620060000000000 Convert 7.741346 decades to months. 928.96152 How many meters are there in 447.9265cm? 4.479265 What is 1/4 of a kilogram in grams? 250 What is 14.62976 hours in microseconds? 52667136000 How many minutes are there in 14391.978ms? 0.2398663 What is 1/20 of a millisecond in nanoseconds? 50000 What is 74/5 of a century in decades? 148 How many milligrams are there in 1/20 of a kilogram? 50000 Convert 8.54639 milligrams to nanograms. 8546390 How many millilitres are there in seven halves of a litre? 3500 What is 6/5 of a second in milliseconds? 1200 How many microseconds are there in twenty-five halves of a millisecond? 12500 What is 2.18013l in millilitres? 2180.13 What is 77859.1 grams in milligrams? 77859100 What is seventeen halves of a microgram in nanograms? 8500 Convert 6519.114ug to tonnes. 0.000000006519114 How many months are there in 3/8 of a century? 450 How many nanograms are there in 5/4 of a microgram? 1250 Convert 686663.46ns to hours. 0.00000019073985 What is 17/2 of a milligram in micrograms? 8500 What is 969.5915cm in kilometers? 0.009695915 Convert 431.0071 weeks to milliseconds. 260673094080 How many milligrams are there in 2.132925ug? 0.002132925 Convert 247665.2 weeks to days. 1733656.4 Convert 0.008553 grams to kilograms. 0.000008553 How many micrograms are there in 8119.06mg? 8119060 How many months are there in 1/24 of a millennium? 500 What is 293.7637ml in litres? 0.2937637 How many milligrams are there in 3/8 of a gram? 375 What is 518.4 litres in millilitres? 518400 What is 0.5692004l in millilitres? 569.2004 How many centimeters are there in 43.88849 nanometers? 0.000004388849 How many millimeters are there in 67/5 of a meter? 13400 How many millilitres are there in 0.453938l? 453.938 Convert 4812.767 tonnes to milligrams. 4812767000000 What is 314.5685 centuries in decades? 3145.685 Convert 902753.9ml to litres. 902.7539 Convert 28429.4g to milligrams. 28429400 How many months are there in twenty-one fifths of a decade? 504 Convert 378295.3 centimeters to kilometers. 3.782953 How many minutes are there in 8.55039us? 0.0000001425065 Convert 0.4066137 kilograms to grams. 406.6137 What is five sixths of a century in months? 1000 What is 3/10 of a kilogram in grams? 300 How many nanometers are there in 426661.8cm? 4266618000000 What is 29/5 of a decade in months? 696 What is 5096.91 centimeters in meters? 50.9691 Convert 3.829959 meters to centimeters. 382.9959 Convert 81.53693 days to hours. 1956.88632 Convert 5412.466 centuries to months. 6494959.2 What is fifty-three fifths of a kilogram in grams? 10600 How many hours are there in 1/4 of a day? 6 Convert 620.4588us to minutes. 0.00001034098 How many hours are there in one sixth of a day? 4 What is 21/5 of a hour in minutes? 252 What is thirty-one fifths of a millennium in months? 74400 How many microseconds are there in twenty-five quarters of a millisecond? 6250 Convert 6.087666t to micrograms. 6087666000000 How many millilitres are there in twenty-nine fifths of a litre? 5800 Convert 140.29974 nanoseconds to minutes. 0.000000002338329 How many millimeters are there in 3/5 of a centimeter? 6 What is two fifteenths of a week in minutes? 1344 How many nanograms are there in 0.00942kg? 9420000000 How many millilitres are there in 3062.84 litres? 3062840 What is three sixteenths of a day in seconds? 16200 What is eleven tenths of a litre in millilitres? 1100 How many nanograms are there in 243922.9ug? 243922900 How many months are there in three fifths of a century? 720 What is twenty-one quarters of a microsecond in nanoseconds? 5250 Convert 696.152um to kilometers. 0.000000696152 How many minutes are there in three fifths of a hour? 36 How many years are there in 7/4 of a millennium? 1750 How many millilitres are there in 3/5 of a litre? 600 What is sixty-one halves of a milligram in micrograms? 30500 How many grams are there in 93.67038 milligrams? 0.09367038 What is three fifths of a meter in millimeters? 600 What is 5/4 of a kilogram in grams? 1250 What is 62/7 of a week in hours? 1488 What is 2945.231 grams in micrograms? 2945231000 What is 49678.8 millilitres in litres? 49.6788 How many seconds are there in eighteen fifths of a minute? 216 What is 1/4 of a day in seconds? 21600 What is 8/25 of a litre in millilitres? 320 What is six fifths of a microgram in nanograms? 1200 What is one fifth of a meter in millimeters? 200 What is 885.4342 micrometers in meters? 0.0008854342 How many months are there in three fifths of a decade? 72 What is 187.21599 hours in days? 7.80066625 What is 3/8 of a litre in millilitres? 375 What is fourty-six fifths of a micrometer in nanometers? 9200 What is nine tenths of a micrometer in nanometers? 900 How many millilitres are there in 16917.36 litres? 16917360 What is one quarter of a kilogram in grams? 250 What is 2/9 of a day in seconds? 19200 What is 5/8 of a litre in millilitres? 625 What is twenty-five quarters of a tonne in kilograms? 6250 Convert 796345.92ns to hours. 0.0000002212072 How many micrometers are there in 1/5 of a centimeter? 2000 How many milligrams are there in 54.942ug? 0.054942 How many centimeters are there in 0.952779 nanometers? 0.0000000952779 Convert 78212.59l to millilitres. 78212590 How many milligrams are there in 1/10 of a kilogram? 100000 What is 44/5 of a kilometer in meters? 8800 How many millilitres are there in seven quarters of a litre? 1750 What is five eighths of a litre in millilitres? 625 What is nineteen quarters of a microsecond in nanoseconds? 4750 How many millennia are there in 299297.7 centuries? 29929.77 What is twenty-one fifths of a kilogram in grams? 4200 What is 1/5 of a hour in seconds? 720 What is thirteen fifths of a millimeter in micrometers? 2600 How many years are there in 695.1988 decades? 6951.988 Convert 0.070437 microseconds to milliseconds. 0.000070437 How many days are there in 10.6501608 nanoseconds? 0.00000000000012326575 How many seconds are there in 142040.5ms? 142.0405 Convert 23543.03l to millilitres. 23543030 Convert 0.5476698l to millilitres. 547.6698 How many millimeters are there in one fifth of a centimeter? 2 What is 13/9 of a week in minutes? 14560 What is 33664.21ml in litres? 33.66421 Convert 0.3678628 nanometers to millimeters. 0.0000003678628 What is 11/8 of a milligram in micrograms? 1375 What is 1638711.6 months in decades? 13655.93 How many weeks are there in 50929.62 days? 7275.66 How many millilitres are there in 951.6077l? 951607.7 What is fourty-five halves of a decade in years? 225 How many tonnes are there in 1653.304 grams? 0.001653304 How many millimeters are there in 1/10 of a centimeter? 1 Convert 5457.557 micrometers to millimeters. 5.457557 How many millilitres are there in twenty-one fifths of a litre? 4200 What is 7.047434 millilitres in litres? 0.007047434 What is 2.5543923 months in years? 0.212866025 What is thirty-two fifths of a millennium in decades? 640 Convert 808.0834ms to microseconds. 808083.4 What is six fifths of a millisecond in microseconds? 1200 What is fourty-three quarters of a litre in millilitres? 10750 How many millilitres are there in 9097.776l? 9097776 What is 8/7 of a week in days? 8 Convert 1589.851 weeks to minutes. 16025698.08 How many months are there in 4/75 of a century? 64 How many millimeters are there in seven halves of a meter? 3500 How many micrograms are there in 605.7131t? 605713100000000 What is 13/5 of a millennium in centuries? 26 What is 58/3 of a decade in mon
{ "pile_set_name": "DM Mathematics" }
)*-5)) + 0))**2 + -2. 33000*sqrt(5) + 2178623 Simplify 1 + 1*(5 + (6*(-1*sqrt(1088) - sqrt(1088)) + (-5 + sqrt(1088)*-2 + sqrt(1088) - sqrt(1088)))**2)*4. 4480*sqrt(17) + 853113 Simplify -3 + ((3*sqrt(648) - sqrt(648) - sqrt(648) - sqrt(8))*5)/((-1*sqrt(44))/sqrt(11) + (-1*sqrt(196) - sqrt(4))). -40*sqrt(2)/9 - 3 Simplify (-6*((sqrt(1088)*-1*-6*-4 + -3)*3 + -4))**2. 539136*sqrt(17) + 203052996 Simplify ((sqrt(12) - 6*sqrt(36)/sqrt(3))/sqrt(4) - (sqrt(3) - (5 + sqrt(9)/sqrt(3)) - (sqrt(12)/sqrt(4) + 2))**2) + -4. -56 - 19*sqrt(3) Simplify (-1*((sqrt(75) + 0)*-5 - (2*sqrt(75)*2 + sqrt(75))))**2 - (-4 + sqrt(75) + ((sqrt(75) + -1)*-3)**2 + 4). 85*sqrt(3) + 6816 Simplify (sqrt(448)*2*-2 + sqrt(448) + sqrt(448) + 1*sqrt(448) + -2 + sqrt(448) + 3 + sqrt(7) + (0 + sqrt(7) + -2 - sqrt(7)) + 1)**2 + 2. 9 Simplify ((sqrt(180) - (sqrt(180) + 3*(sqrt(180) + 3)) - (sqrt(180)*1 + -3)) + 1)**2*-1*-4. 960*sqrt(5) + 11620 Simplify 2 + (4*(1*sqrt(152))/sqrt(8))**2*3 - ((-5*(sqrt(2299) - sqrt(2299)*1) + 3*(1 + sqrt(2299)))**2 + -5). -19781 - 198*sqrt(19) Simplify (-1*sqrt(100)/sqrt(2) + sqrt(150)/sqrt(3) + 5 + 4 - ((sqrt(6050) - (3 + (-1 + sqrt(6050) - sqrt(6050)))) + -3))**2. -1540*sqrt(2) + 6246 Simplify (3*2*sqrt(190))/sqrt(10) + sqrt(228)/(sqrt(972) - (sqrt(972) + (sqrt(972) - sqrt(972)*2))) + (-4 + 3*sqrt(76) + 3)*5. -5 + 325*sqrt(19)/9 Simplify ((sqrt(13) + 0 - sqrt(13))*-6 + (sqrt(13) + -2)*6)*2 + -3 + (-1*sqrt(117))**2 + ((sqrt(832)*3 - sqrt(832))**2 - sqrt(13)). 11*sqrt(13) + 3418 Simplify (sqrt(2) + (sqrt(2) - -1*(5 + sqrt(2))) + sqrt(2))**2 + -1 + 1 + (4 + -1 + 5 + sqrt(288))**2. 232*sqrt(2) + 409 Simplify (sqrt(63)/(sqrt(70)/(sqrt(10) - sqrt(160))))/(sqrt(33)/(sqrt(11)*1)*-2) + -1. -1 + 3*sqrt(3)/2 Simplify -5*(1*(1*sqrt(448)*-4 - (-3*sqrt(448) + -2)))**2*3. -6780 + 480*sqrt(7) Simplify -3 + -2*(sqrt(5600) + (sqrt(5600) - (-1*sqrt(5600) - sqrt(5600))) - sqrt(5600))/(-4*sqrt(16)/sqrt(2))*1. -3 + 15*sqrt(7) Simplify (sqrt(114)*2*5 - (1*sqrt(114)*1 - sqrt(114)))/(-3*(-2*sqrt(864) + sqrt(864))*-2). -5*sqrt(19)/36 Simplify (1*(1*-2*sqrt(77) + sqrt(77))*1)/(((sqrt(1100)*-1 - sqrt(1100))*2 - sqrt(1100)) + sqrt(1100)*2*-3 + sqrt(1100)). sqrt(7)/100 Simplify ((sqrt(84) - (-4*sqrt(84)*3 - sqrt(84)))/(3*sqrt(700)*2))**2*-6. -98/25 Simplify ((sqrt(100)*-2*-5 - sqrt(100)) + -2*sqrt(100)*-2)/(6*(sqrt(720) - -1*sqrt(720))*-4). -13*sqrt(5)/288 Simplify (-2*((sqrt(684) - (1 + sqrt(684)))*-3)**2*-4 - (0 + -1*sqrt(684) + -1 + 3))*2. 12*sqrt(19) + 140 Simplify (1 + (sqrt(847) - (-4 + sqrt(847)*-3) - (sqrt(847) - (sqrt(847) - (-3 + sqrt(847)*3))) - -2*((-1 + sqrt(847) + sqrt(847))*3 - (-1 + sqrt(847))*5)))**2. 792*sqrt(7) + 7767 Simplify (((-1*sqrt(3072)*4 - sqrt(3072))*-3)/(5*(sqrt(24)*-5 + sqrt(6) + (1*sqrt(42))/sqrt(7))))**2. 72 Simplify (sqrt(280)/(sqrt(42)/sqrt(6)*3 + sqrt(7)))/(sqrt(32)/(sqrt(36)/sqrt(9))*5). sqrt(5)/20 Simplify (3*(-3 + 0 + sqrt(143)/sqrt(99)) - 3*(sqrt(91) + (2*2*sqrt(91) - sqrt(91) - sqrt(91)))/((sqrt(7) - (sqrt(7) - sqrt(7)*2))*-4 + sqrt(7)))**2. -288*sqrt(13)/7 + 7297/49 Simplify (1*(-2 + -6*(sqrt(847) - 5*(-2 + sqrt(847)))*-3))**2. -281952*sqrt(7) + 4422532 Simplify 2 + (1*(((sqrt(432)*1 - sqrt(432))*-4 - (-5 + sqrt(432) + 0)) + (-1 + -1*sqrt(432) - (6*(sqrt(432) + 1) + sqrt(432)))))**2 + 2. 432*sqrt(3) + 35000 Simplify 5 + (-3*(4 + -1 + sqrt(1872) + sqrt(1872) + -2 + -3 + sqrt(1872))*-6)**2*-5. -27300235 + 233280*sqrt(13) Simplify (2*sqrt(70)*3)/(2*sqrt(360)) - (sqrt(343)*2*-4 + -5 + sqrt(343)*-2)**2. -34325 - 1399*sqrt(7)/2 Simplify 4 + 4*((sqrt(4050) + 6*-5*sqrt(4050))**2 + 1 + -2). 13624200 Simplify (sqrt(324)/(4*-4*sqrt(12)))/(1*sqrt(324)*3). -sqrt(3)/288 Simplify (1*(4 + -5 + 5*(-3 + sqrt(405)) + -2*(-3 + 1*sqrt(405) + sqrt(405))))**2. -180*sqrt(5) + 505 Simplify -2*((-1 + (sqrt(6292) - (0 + sqrt(6292) + -2*sqrt(6292) + sqrt(6292)) - (-2*-1*sqrt(6292) - sqrt(6292))))**2 + -1). 0 Simplify (sqrt(162)/(sqrt(216)*-5))/(3*sqrt(81)*3). -sqrt(3)/810 Simplify (-2*(5*(sqrt(70) - sqrt(70)*3) + (sqrt(70) - 3*(sqrt(70) + sqrt(70)*-2)))/((sqrt(80)*2*3 + sqrt(80))/(sqrt(24)/sqrt(48))))**2. 9/7 Simplify (-3*(-1 + (-1 + -4*sqrt(1216))*3))**2*1 + -3. 6912*sqrt(19) + 1576077 Simplify -1*(-3 + (-1 + sqrt(108)*-2*-3*2)**2*-6). -864*sqrt(3) + 93321 Simplify (5 + (-2*sqrt(24)*2)/(sqrt(512)*2)*-3 + 3)**2. 12*sqrt(3) + 1051/16 Simplify ((sqrt(152)*-2*2 - sqrt(152) - sqrt(152)*-2*-6)*4)/((sqrt(80) - 3*(2*sqrt(80) - sqrt(80)))/sqrt(10)*-5). -34*sqrt(19)/5 Simplify (sqrt(350)*-2 - (sqrt(504) - sqrt(14))*-4)/(-4*(sqrt(700) - (sqrt(700) - (sqrt(700) - 6*(sqrt(700) + (-5*sqrt(700) + sqrt(700) - sqrt(700))))))). -sqrt(2)/100 Simplify 5*(-5 + (sqrt(260)/sqrt(5))/sqrt(4) + 5*sqrt(39)/(sqrt(243) + sqrt(3)))*1. -25 + 15*sqrt(13)/2 Simplify ((1*sqrt(17)*-1*-1)**2 - -2*((sqrt(68))**2 + 3)) + (-5 + (sqrt(153) + sqrt(153) + -1)**2 + -4)*-6. -3465 + 72*sqrt(17) Simplify -4 + -6*((-2 + (sqrt(2299) + 1)**2 - (0 + (sqrt(2299) - (0 + sqrt(2299))))) + 2*((0 + sqrt(2299))*5)**2). -703492 - 132*sqrt(19) Simplify (((1 + sqrt(252))**2 + 0)*-5*-1 + 3)*-6. -7608 - 360*sqrt(7) Simplify ((sqrt(21)/sqrt(7))**2*3 + sqrt(27)*-6 - ((2*sqrt(450))/sqrt(6) + 2)**2) + 3. -292 - 58*sqrt(3) Simplify 1 + ((-2*sqrt(200)*5)/((-2*sqrt(90) - sqrt(90)) + sqrt(90)))/((-2*sqrt(40))/sqrt(10) + -3*sqrt(32)/sqrt(8)). -sqrt(5)/3 + 1 Simplify (sqrt(72)/sqrt(6) + sqrt(432)*2 - (-3*sqrt(6)/sqrt(2) + (sqrt(147) - 3*sqrt(147))))**2. 5547 Simplify (((sqrt(76) - 3*(-1*sqrt(76) - sqrt(76) - sqrt(76))) + sqrt(76) - sqrt(76))*-4)/((sqrt(196) - (sqrt(196) - 2*sqrt(196)))*-5)*1. 4*sqrt(19)/7 Simplify 5 + (-1*sqrt(468)*6*-6)/(((sqrt(24) - sqrt(96) - sqrt(24))*-5)/(sqrt(6) - (sqrt(6) - (sqrt(216) + (2*sqrt(216) - sqrt(216) - sqrt(216)))))). 5 + 324*sqrt(13)/5 Simplify (-2*(2 + sqrt(567)) + 1 + -1*sqrt(7)*4 + 0 + sqrt(175))**2 + -1. 102*sqrt(7) + 2031 Simplify ((sqrt(180) + 1*sqrt(180) - sqrt(180)) + sqrt(45))/(-5*sqrt(18)/sqrt(2)) - (sqrt(15) + (sqrt(75)*1)/sqrt(5))/(sqrt(84)/sqrt(7)). -8*sqrt(5)/5 Simplify 0 + (-4 + ((4 + -1 + sqrt(200))*-2)**2)*4 + -1. 960*sqrt(2) + 3327 Simplify -5*((-3 + -5*(-1 + -2*sqrt(68) + -3*-3*sqrt(68)))**2 + -5). -416495 + 1400*sqrt(17) Simplify ((sqrt(832) - (-5 + sqrt(832)) - sqrt(468)*-1) + 2*sqrt(637)*3 + -1)**2. 384*sqrt(13) + 29968 Simplify 5*((3 + sqrt(171) + sqrt(171) + -2 + sqrt(171))*1*4*-6)**2*-3. -13305600 - 155520*sqrt(19) Simplify ((sqrt(363) - -2*sqrt(363))*-4 - (sqrt(363) + 2 + -1) - (sqrt(363)*-5*3 - ((sqrt(363) - (sqrt(363) + sqrt(363) + -4)) + -1 + sqrt(363))))**2. 88*sqrt(3) + 1456 Simplify ((-2*sqrt(88) + sqrt(88))*4 - 1*(sqrt(88)*-3 + sqrt(88)))/((1*-1*sqrt(80))/(sqrt(1440) + 1*sqrt(1440))). 48*sqrt(11) Simplify ((sqrt(242) + 2)*1 + -5 - (sqrt(242) + -1 + sqrt(242) + sqrt(242) + 0 - (1 + sqrt(242))*-6))**2 + 4. 1408*sqrt(2) + 15556 Simplify -4*((-2 + ((sqrt(1100) + -3*sqrt(1100) + sqrt(1100))*4 + sqrt(1100) - (3 + sqrt(1100)*1)))**2 + -4). -70484 - 1600*sqrt(11) Simplify 6*(sqrt(567) + (sqrt(567)*-2)**2 + -5 + -4) - (2 + -3 + sqrt(567) + -2 + 1)**2. 90*sqrt(7) + 12983 Simplify -1*sqrt(2057) + -4 + 5 - (1 + (2*sqrt(1377) + sqrt(1377) - sqrt(1377)) + sqrt(1377) + 0)**2. -12393 - 65*sqrt(17) Simplify -4 + ((4*sqrt(1800))/(sqrt(40)/(sqrt(28)/sqrt(7))))**2 + -1 + -5. 2870 Simplify 0 + (sqrt(36)*3 + sqrt(36))/sqrt(12)*-6 + ((sqrt(30)/(sqrt(20)/sqrt(2)) + sqrt(3) + 0 + sqrt(3) + -2 + sqrt(3))*4)**2. -280*sqrt(3) + 832 Simplify (-5*(3 + (sqrt(363) - (3*(sqrt(363) - 2*sqrt(363)) - sqrt(363)) - 4*(sqrt(300) + 4*sqrt(300) - sqrt(300))) + -1))**2. -10500*sqrt(3) + 826975 Simplify sqrt(7) + 1 + sqrt(56)/sqrt(8) + sqrt(7) + sqrt(7) + -1*sqrt(35)/sqrt(5) + -1 + 2 + sqrt(112)/sqrt(4). 2 + 5*sqrt(7) Simplify 5 + 5*(((-4*sqrt(135))/sqrt(5))/sqrt(9) + (-2*sqrt(5808))**2). -20*sqrt(3) + 116165 Simplify -2*(1 + 2*sqrt(44) + 2 + -4 + 0 + -4 + 5) + 0. -8*sqrt(11) Simplify sqrt(300) + ((-2*sqrt(300))**2 + 4 - sqrt(300)) + 3 + 3 - (-1*sqrt(24)/sqrt(32) - (3*-2*sqrt(33))/sqrt(11))**2. 4477/4 Simplify (1*4*sqrt(8208))/(6*(sqrt(243) + sqrt(243)*2)). 8*sqrt(19)/27 Simplify (1*(-1 + sqrt(288) + 0 + -3 + 5 + -1))**2 + -1. 287 Simplify 4*(((sqrt(200) - 2*sqrt(200))*1 + 1*sqrt(200) + 2)*-1)**2*2. 32 Simplify 4*(-4*-3*sqrt(4000))/(sqrt(48)/(sqrt(378)/sqrt(7))). 1440*sqrt(5) Simplify ((-1*sqrt(57)/sqrt(3
{ "pile_set_name": "DM Mathematics" }
71 composite? False Is 53264341 a prime number? False Is 17615721 composite? True Is 18477947 a prime number? False Is 44732563 composite? True Is 100044563 prime? True Is 185121835 composite? True Is 29621321 a composite number? False Is 55386101 composite? False Is 5117699 a prime number? False Is 1295999 a composite number? True Is 10397623 prime? False Is 12877451 a prime number? True Is 260317 a composite number? False Is 224478269 a composite number? False Is 121195693 prime? True Is 54869 a composite number? False Is 5524543 prime? True Is 265943 composite? True Is 1713221 a prime number? True Is 347437529 composite? True Is 6942557 prime? False Is 4446133 prime? False Is 368222 a prime number? False Is 1208312407 prime? True Is 43371941 a composite number? False Is 2308613 a composite number? True Is 21068129 a prime number? False Is 205697201 a composite number? True Is 4566019 a prime number? True Is 7478257 prime? True Is 7779763 a composite number? False Is 61633457 a prime number? True Is 5654357 prime? True Is 1838047 composite? False Is 4232509 prime? True Is 3721567 a prime number? False Is 1938067 a prime number? True Is 9602233 composite? False Is 7517899 a prime number? True Is 277048549 a composite number? False Is 54985883 a composite number? False Is 117327173 prime? False Is 12494591 composite? True Is 41988299 prime? True Is 7155803 prime? False Is 8965447 a composite number? False Is 31954103 composite? False Is 95387447 a prime number? True Is 5789617 composite? False Is 1080647707 composite? False Is 54492277 a prime number? False Is 3910307 a prime number? False Is 31388626 a prime number? False Is 59406221 composite? True Is 3041747 a composite number? True Is 4709039 a composite number? True Is 1047022 prime? False Is 1117059 a composite number? True Is 3897814 a composite number? True Is 35662997 a composite number? True Is 6146191 a prime number? True Is 18380623 prime? False Is 533935551 a prime number? False Is 182591405 prime? False Is 14933123 composite? True Is 71967239 composite? True Is 23937517 a prime number? True Is 471161549 composite? False Is 23083465 a prime number? False Is 24186649 a prime number? False Is 30788603 prime? True Is 674159 a composite number? False Is 2592677 a composite number? False Is 1947523 a prime number? False Is 34000493 a composite number? True Is 10992341 composite? True Is 426178249 a composite number? True Is 627491 a composite number? False Is 64631191 prime? False Is 713720017 a composite number? False Is 43187273 a prime number? False Is 146641529 composite? False Is 27859547 composite? False Is 1065418 composite? True Is 12658991 a composite number? False Is 34022437 composite? False Is 55163463 a prime number? False Is 830579 a composite number? False Is 13145331 prime? False Is 4684789 composite? False Is 594559895 composite? True Is 2772453 composite? True Is 151565621 prime? True Is 8669207 a composite number? False Is 691271909 composite? False Is 8157277 prime? False Is 1291571 a composite number? True Is 38695087 composite? False Is 5102953 prime? True Is 2258629 composite? True Is 449537 composite? True Is 124261 prime? False Is 53561147 a prime number? False Is 8177827 prime? False Is 69944177 a prime number? True Is 199651443 a composite number? True Is 231235007 prime? True Is 338677 prime? False Is 1618529 prime? False Is 352226729 a composite number? True Is 21741283 a composite number? True Is 7592869 composite? True Is 3763261 prime? False Is 37497043 a prime number? True Is 1957259 prime? False Is 2451851 composite? True Is 18971311 a composite number? True Is 541439 a prime number? True Is 6426037 prime? False Is 2086457 a prime number? True Is 1202623 a prime number? False Is 154543 prime? True Is 565973 a prime number? True Is 13391 composite? True Is 222298507 a composite number? False Is 822637271 prime? False Is 1406033 prime? True Is 7296239 a composite number? False Is 1015691 composite? False Is 23907077 a prime number? False Is 90551369 prime? False Is 119350697 a prime number? True Is 16000253 a composite number? False Is 8609135 a composite number? True Is 64054 composite? True Is 23976911 a prime number? False Is 5364499 prime? False Is 45196339 a prime number? True Is 1043699 composite? True Is 23209853 composite? True Is 7619821 a composite number? True Is 8475913 a prime number? False Is 1508077 a prime number? True Is 15025753 composite? False Is 48145081 composite? True Is 7287271 a composite number? True Is 11690321 prime? True Is 145201517 a composite number? True Is 21965329 a composite number? True Is 17632189 a composite number? True Is 11950853 prime? True Is 131203 a composite number? False Is 5771819 prime? False Is 486120721 prime? True Is 10966357 prime? True Is 33897301 composite? False Is 1535052635 a composite number? True Is 1725767 composite? False Is 339584195 a composite number? True Is 15200281 composite? False Is 8738291 a composite number? True Is 6546509 prime? True Is 2513471 prime? False Is 1645409 a prime number? True Is 908909 a prime number? True Is 27760061 a prime number? False Is 76507477 a composite number? True Is 52464067 a composite number? False Is 77116399 composite? True Is 1785761 prime? True Is 23137 composite? True Is 102760499 prime? False Is 97952573 a prime number? True Is 43030381 a composite number? False Is 221639443 a composite number? True Is 4150847 a composite number? False Is 73369265 composite? True Is 114092833 a composite number? False Is 2632687 a prime number? True Is 28182221 composite? False Is 15914579 composite? True Is 78136349 a prime number? False Is 244997 a prime number? True Is 65662343 a prime number? True Is 12309469 prime? False Is 78191527 prime? True Is 764431 composite? False Is 6277399 composite? True Is 17742965 composite? True Is 12644647 a composite number? True Is 28811427 composite? True Is 8540867 composite? False Is 4575797 prime? True Is 300434797 a prime number? False Is 68863 prime? True Is 84042697 composite? False Is 1162435 prime? False Is 13101911 a prime number? True Is 48815893 composite? True Is 58806626 prime? False Is 5158159 composite? True Is 500153 composite? False Is 9680183 a prime number? False Is 65944027 prime? False Is 389837057 prime? True Is 22860785 a composite number? True Is 3603389 a prime number? True Is 446179 prime? True Is 3916921 a prime number? True Is 10040339 prime? False Is 101563598 prime? False Is 13934321 prime? True Is 13769671 a prime number? True Is 2258241 prime? False Is 3467513 prime? False Is 24459962 composite? True Is 453343 a prime number? False Is 9357119 a composite number? False Is 51771617 a prime number? True Is 3445433 a prime number? False Is 3878569 a composite number? True Is 146568937 prime? False Is 3646997 a prime number? True Is 14703781 prime? True Is 4532393 a prime number? False Is 36881807 composite? False Is 135703 a prime number? False Is 1323811 composite? True Is 476803 composite? False Is 89953693 prime? False Is 10934953 a composite number? True Is 2814319 composite? False Is 160368071 composite? False Is 58168391 composite? False Is 31806241 composite? True Is 6846361 composite? False Is 4153901 a prime number? False Is 585747581 a prime number? False Is 2509445 a prime number? False Is 981913 a composite number? False Is 40151753 prime? True Is 35028599 a prime number? True Is 819321 prime? False Is 204178295 composite? True Is 30858979 a composite number? False Is 218517001 a composite number? True Is 7267877 composite? False Is 7015891 a prime number? True Is 7930873 a prime number? False Is 21552485 composite? True Is 7290271 composite? False Is 20727959 composite? True Is 3508951 prime? True Is 46924219 a composite number? False Is 34924117 prime? True Is 904885379 a composite number? False Is 2837013 prime? False Is 15246511 a prime number? False Is 63356897 prime? True Is 104739 composite? True Is 4349797 a prime number? False Is 101649709 composite? True Is 613863781 a prime number? False Is 62799083 composite? True Is 12765803 a composite number? False Is 2313599 a prime number? True Is 36970573 composite? True Is 470026511 a prime number? True Is 33913511 a prime number
{ "pile_set_name": "DM Mathematics" }
ut 2, 22, 5 in descending order. 22, 5, 2 Sort -2/7, -0.01, 12 in decreasing order. 12, -0.01, -2/7 Put -493, 0, 2 in descending order. 2, 0, -493 Put 2, 5/4, -2/13 in decreasing order. 2, 5/4, -2/13 Put -12, -3, -19, -4 in ascending order. -19, -12, -4, -3 Sort 1, 2/9, -4. -4, 2/9, 1 Sort 0.5, 2/31, 3/7, -7. -7, 2/31, 3/7, 0.5 Put 0.1007, -0.2, -7 in decreasing order. 0.1007, -0.2, -7 Put -0.4, 88, 2, -0.5 in increasing order. -0.5, -0.4, 2, 88 Put 0, -13, -4 in decreasing order. 0, -4, -13 Sort -19, -1, 7, 5 in decreasing order. 7, 5, -1, -19 Put 2, 15, 6, 12 in ascending order. 2, 6, 12, 15 Put -0.3, -3/4, 0.5, -4, 15 in descending order. 15, 0.5, -0.3, -3/4, -4 Put -0.59, -9/2, 3/7 in descending order. 3/7, -0.59, -9/2 Put 17, -2, -32 in descending order. 17, -2, -32 Put -3, 5, 26, -24, 0 in decreasing order. 26, 5, 0, -3, -24 Put -0.2, -1, 23 in decreasing order. 23, -0.2, -1 Put 4, 5, -21, -5 in decreasing order. 5, 4, -5, -21 Put 12, 4, -1 in descending order. 12, 4, -1 Sort -10/9, 0.3, -3, -22, -0.5. -22, -3, -10/9, -0.5, 0.3 Sort -1, 84, 4, -4 in increasing order. -4, -1, 4, 84 Sort -5, 2, 9 in ascending order. -5, 2, 9 Sort 0.4, 1/42, 2 in decreasing order. 2, 0.4, 1/42 Put 5/2, -573, 2 in ascending order. -573, 2, 5/2 Sort -5, -2, 12, -10. -10, -5, -2, 12 Sort -24, -1, 3, 2 in increasing order. -24, -1, 2, 3 Put -3, 26, -20 in decreasing order. 26, -3, -20 Put 2/5, 1/2, -22 in increasing order. -22, 2/5, 1/2 Sort -657, 5, -1 in increasing order. -657, -1, 5 Sort 1.8, 2/9, 24 in increasing order. 2/9, 1.8, 24 Put -0.2, 8/5, -1/10, -4, -0.4 in decreasing order. 8/5, -1/10, -0.2, -0.4, -4 Sort 5, -5/3, 0, -1 in descending order. 5, 0, -1, -5/3 Sort 1, 3, -41, -1 in increasing order. -41, -1, 1, 3 Sort 0, 28, -1 in decreasing order. 28, 0, -1 Put -3, 6, 41 in increasing order. -3, 6, 41 Put 0, -13, -6, -4 in descending order. 0, -4, -6, -13 Sort -352, 3, 5 in descending order. 5, 3, -352 Sort 2, -0.1, -0.2, -1 in descending order. 2, -0.1, -0.2, -1 Put -0.3, -1, 0, 3, -0.5 in increasing order. -1, -0.5, -0.3, 0, 3 Put -2, -13, 2, 8, -16 in descending order. 8, 2, -2, -13, -16 Sort -2/29, 2/5, -0.1 in descending order. 2/5, -2/29, -0.1 Put -30, 13, -4, -1, 2/13 in descending order. 13, 2/13, -1, -4, -30 Put -18, -0.1, -2/7, -3, -0.2 in descending order. -0.1, -0.2, -2/7, -3, -18 Sort -2/9, 2/3, -3, -2/3 in increasing order. -3, -2/3, -2/9, 2/3 Put 3, -21, 2/9 in descending order. 3, 2/9, -21 Sort -4/11, -2, -17. -17, -2, -4/11 Put 5, -22, 3/5, -17, 3 in ascending order. -22, -17, 3/5, 3, 5 Sort -4, -2, 322, 2. -4, -2, 2, 322 Sort 7, -2, 497 in decreasing order. 497, 7, -2 Put 0, -4, -2, 4, 41 in increasing order. -4, -2, 0, 4, 41 Put 1/3, 1, 2, -4.1, -20 in decreasing order. 2, 1, 1/3, -4.1, -20 Sort -2, -1, 26, 5 in descending order. 26, 5, -1, -2 Put 5, -1, 374, -4, 4 in ascending order. -4, -1, 4, 5, 374 Sort 3, -1, -169 in increasing order. -169, -1, 3 Sort 0, 0.3, -4/9 in ascending order. -4/9, 0, 0.3 Put -2, 6, -4 in descending order. 6, -2, -4 Sort -3, 13, -10 in decreasing order. 13, -3, -10 Sort 1, -4, 2, 3/5 in descending order. 2, 1, 3/5, -4 Sort -1/7, 0.2, 3/5, -2/5, -1/2 in decreasing order. 3/5, 0.2, -1/7, -2/5, -1/2 Put -13, -3, -5, -0.2 in decreasing order. -0.2, -3, -5, -13 Sort 0.4, -2/5, 1, 5/101 in descending order. 1, 0.4, 5/101, -2/5 Put -4, -9, 2 in descending order. 2, -4, -9 Sort -20, -0.1, 2, -9, -3/5 in descending order. 2, -0.1, -3/5, -9, -20 Sort 4, 1, 631, 3, 2 in ascending order. 1, 2, 3, 4, 631 Put 3, -2, 5, 4 in descending order. 5, 4, 3, -2 Put -4, 11, 4, 0.02 in descending order. 11, 4, 0.02, -4 Sort -0.06, 0.1, -10/11, 0.4, 0.3 in decreasing order. 0.4, 0.3, 0.1, -0.06, -10/11 Sort -5, -2, 13, 3 in decreasing order. 13, 3, -2, -5 Sort 1, -1, -3, -10 in ascending order. -10, -3, -1, 1 Put 148, 2/9, 1/3, -1/2 in decreasing order. 148, 1/3, 2/9, -1/2 Sort -77, 4, -2, -4 in decreasing order. 4, -2, -4, -77 Put -5, 4, 2, 1, 5 in decreasing order. 5, 4, 2, 1, -5 Put 1/9, 4, 34, -1 in ascending order. -1, 1/9, 4, 34 Put 1.5, 0, 6 in decreasing order. 6, 1.5, 0 Put -10, -0.3, 0.6 in decreasing order. 0.6, -0.3, -10 Sort -5, -23, -4 in ascending order. -23, -5, -4 Sort 1, 40, 2. 1, 2, 40 Put 0.3, -0.2, -0.03, 18, 1 in increasing order. -0.2, -0.03, 0.3, 1, 18 Sort 4, -2, 1, -1, 221 in descending order. 221, 4, 1, -1, -2 Sort 6, 6.8, -1/4, -4 in ascending order. -4, -1/4, 6, 6.8 Sort -2, 2/9, 1, 4/5, -20. -20, -2, 2/9, 4/5, 1 Put 4, -60, -4, -2 in descending order. 4, -2, -4, -60 Put 1, -3, -205 in descending order. 1, -3, -205 Put -5, -100, 5, -3 in decreasing order. 5, -3, -5, -100 Put 0.1, 9, 0.03 in increasing order. 0.03, 0.1, 9 Sort -0.4, 4, -2/3, 4/13, 3/2 in increasing order. -2/3, -0.4, 4/13, 3/2, 4 Sort 2, 0, -5, 5 in decreasing order. 5, 2, 0, -5 Put 2, -9, 1 in decreasing order. 2, 1, -9 Sort -4/7, -2.8, -4, -2, 19. -4, -2.8, -2, -4/7, 19 Put -141, 1/7, 5/2 in increasing order. -141, 1/7, 5/2 Sort -0.4, 4, -2/19, -11, 3 in decreasing order. 4, 3, -2/19, -0.4, -11 Sort -5, -24, -2/31 in increasing order. -24, -5, -2/31 Sort 3, -5, -11, 1 in descending order. 3, 1, -5, -11 Sort 0, -367/4, -4, 4, -0.4 in descending order. 4, 0, -0.4, -4, -367/4 Sort 18, 0, -3 in descending order. 18, 0, -3 Sort -4, 5, -5, 0, -16 in descending order. 5, 0, -4, -5, -16 Sort 1, -4, -82. -82, -4, 1 Put 0, -2, 28, 2/5, 5 in descending order. 28, 5, 2/5, 0, -2 Sort -1, 5, -12, 2 in ascending order. -12, -1, 2, 5 Sort -5, -4, 2/13, 2. -5, -4, 2/13, 2 Sort 8, -3, -6. -6, -3, 8 Sort 0.5, -1/3, -3.7. -3.7, -1/3, 0.5 Sort 0.3, 0, 1/6, -1/7 in descending order. 0.3, 1/6, 0, -1/7 Put -160, -2, 2 in increasing order. -160, -2, 2 Sort 0.6, 0.3, -2/5 in decreasing order. 0.6, 0.3, -2/5 Sort -0.2, 14, 4/7, 5/4. -0.2, 4/7, 5/4, 14 Sort -8, -5, -0.03 in decreasing order. -0.03, -5, -8 Sort 1/8, -1100, -2/7, -1/4, 1/5 in descending order. 1/5, 1/8, -1/4, -2/7, -1100 Put 11, 0, -1, -3 in increasing order. -3, -1, 0, 11 Sort 6085, -0.2, 0.1, -0.3 in descending order. 6085, 0.1, -0.2, -0.3 Put 1, 0, 5, -1 in ascending order. -1, 0, 1, 5 Put -4, -5, -203 in descending order. -4, -5, -203 Sort 2, -8/5, -2/9, -1/4 in decreasing order. 2, -2/9, -1/4, -8/5 Put -14, 38, -1/3 in increasing order. -14, -1/3, 38 Sort -2, -5, -4, 156, 0.4. -5, -4, -2, 0.4, 156 Sort 1, 8, 19 in ascending order. 1, 8, 19 Put -0.3, -5, 163, -2 in decreasing order. 163, -0.3, -2, -5 Sort 1, 1082, -1, -2, 2 in decreasing order. 1082, 2, 1, -1, -2 Sort -49, -2, 2 in decreasing order. 2, -2, -49 Sort -2, -5, 9, 3, -1. -5, -2, -1, 3, 9 Put 20, 2, 5, -2 in ascending order. -2, 2, 5, 20 Sort -2/13, 22/5, 6, 29 in descending order. 29, 6, 22/5, -2/13 Sort 0, 4, -14, -5 in ascending order. -14, -5, 0, 4 Sort -21, 6, 38, 1. -21, 1, 6, 38 Sort 2, 5, 505 in decreasing order. 505, 5, 2 Put 3, -2/3, 10 in ascending order. -2/3, 3, 10 Put -0.632, 6/5, -1/4 in increasing order. -0.632, -1/4, 6/5 Put -15, -4, -28, -3 in ascending order. -28, -15, -4, -3 Sort -3/2, -1.64, -3, 2/11 in ascending order. -3, -1.64, -3/2, 2/11 Put 3, -1, 659 in descending order. 659, 3, -1 Put -132, -2/17, -4, 0.1 in increasing order. -132, -4, -2/17, 0.1 Sort -4, -54, 4/9. -54, -4, 4/9 Put -1/5, -2.5, -8, 0.2 in increasing order. -8, -2.5, -1/5, 0.2 Sort -32, 2, 166. -32, 2, 166 Put -6, -3, -2, -11 in decreasing order. -2, -3, -6, -11 Put -5, 5, -422, 4 in decreasing order. 5, 4, -5, -422 Sort -5, 3, 0.5, 3/2 in ascending order. -5, 0.5, 3/2, 3 Put 4, -2, 825, 3 in increasing order. -2, 3, 4, 825 Sort 38, -17, -0.1 in descending order. 38, -0.1, -17 Sort -5, -10, -7, -14 in descending order. -5, -7, -10, -14 Put -3, 1, -8, 2 in descending order. 2, 1, -3, -8 Sort -4/7, 566, 2/17 in ascending order. -4/7, 2/17, 566 Sort 1, 4, -7. -7, 1, 4 Sort -4, 1/334, 2. -4, 1/334, 2 Sort -2, -4, -0.5, -25, 1 in descending order. 1, -0.5, -2, -4, -25 Sort -2/5, 39, -3/2, 11, 1/4 in increasing order. -3/2, -2/5, 1/4, 11, 39 Sort 0, 23, -169 in ascending order. -169, 0, 23 Sort -2, -73, -3, 0.2, -2/5 in increasing order. -73, -3, -2, -2/5, 0.2 Put 40, -3, 0 in descending order. 40, 0, -3 Sort -5, 1.9, -6 in descending order. 1.9, -5, -6 Sort -0.2, -6, -1 in increasing order. -6, -1, -0.2 Sort -3, 3/4, 0.062 in ascending o
{ "pile_set_name": "DM Mathematics" }
c) -0.02 (d) l b Let g(j) = -6*j**3 - 15*j**2 - 24*j - 11. Let o be g(-1). What is the closest to 2 in -0.5, o, -40? o Let s = -59.5 + -24.6. Let x = s + 89. Let g = x + -0.9. Which is the nearest to -3? (a) -1 (b) -6 (c) g a Suppose 12*d + 3*d + 23205 = 0. Let c be ((d/14)/17)/(1/(-4)). What is the nearest to c in -3, 5, -1/3, 1? 5 Let z = 24926/4615 + -1/923. Let t = -204/35 + z. Which is the closest to -3? (a) 0.4 (b) 17 (c) t (d) -4 d Let w(d) = -210*d + 2519. Let y be w(12). Which is the closest to -10? (a) 17 (b) 2/9 (c) y c Let z be (-2)/(-5) + (-21)/15. Let p = 233 - 88. Let j = -146 + p. Which is the nearest to j? (a) 0.5 (b) z (c) 2/7 b Suppose s = -x - 9, 3*x = x - 8. Let w = 21 + -14. Let i = -4 + w. Which is the closest to -0.1? (a) i (b) -0.2 (c) s b Let t = 0.295 - 84.795. Let s = t + -20.5. Let v = s - -104.97. Which is the nearest to 1/3? (a) v (b) 2/11 (c) 0.1 b Let q = -3973 + 3965. What is the closest to q in 2, -2.9, 1/10? -2.9 Let o = 369 + -290. Let z = 79.1 - o. Which is the nearest to z? (a) -2/5 (b) -1/4 (c) 4 b Suppose -3*t - 12*m = -11*m + 3, 0 = -t - 4*m - 12. Let d = -88 - -110. What is the nearest to -2/5 in t, 2, d? t Let s = 10431.8 + -10432.1. Let i = 4 + -2. Which is the nearest to 2/3? (a) 2/15 (b) 0 (c) s (d) i a Let n = -3306 - -3311. Let l = 0.07 + -0.06. Let o = l - 2.01. What is the closest to 9 in n, o, -5/6? n Let h = -176.5 + 177. Which is the closest to -4? (a) 5 (b) 3.3 (c) h c Let q = 1.2818 - 374.2818. Which is the nearest to q? (a) 2 (b) 0.4 (c) 5 (d) -3 d Let i(s) = 10*s - 7. Let g be i(-2). Suppose 0 = -4*o - 0*o - 40. Let q be -6*1/o*(-9)/g. Which is the closest to -0.2? (a) -0.1 (b) q (c) -2/7 c Let u = 0.0138 + 0.5582. Let f = u - 0.472. What is the nearest to -3 in 0.2, -2/13, f? -2/13 Let m = -0.28 + 0.38. Let k = 0.08 - 0.1. Let h = 4.2676 - 0.2676. Which is the nearest to m? (a) k (b) h (c) -2/17 a Let c be 1*(14 + 0 - -1). Let d = 1.691 - 1.791. What is the closest to 0.1 in c, -0.4, d, 2? d Let j = -1.69 - -1.69. Let z be (2/(-4))/((-28)/32). What is the nearest to j in -5, 2/23, z? 2/23 Let f = -2.25 + 2.45. Suppose 12 = -3*y + 3. Let g(d) = d**2 + 2*d - 23. Let z be g(-6). Which is the closest to z? (a) f (b) 2 (c) y a Let x = 4.44 + 4.56. What is the nearest to x in -1, -1/2, 3, -0.2? 3 Let x be 1/((-77)/(-88)) + 459/21. What is the nearest to 1 in 2, x, -0.5, 3? 2 Let a = 2.3 + -6.3. Let i = -1199/3 + 8387/21. What is the nearest to -1/4 in a, i, -4/5? i Let i = 0 - 5. Suppose 0 = 2*j - 0*j, 4*j + 20 = 4*s. Let x = -0.81569 + 0.71569. Which is the closest to x? (a) s (b) -0.2 (c) i b Let g = -121.4 - -269.1. Let u = g - 142. Let i = -5.5 + u. What is the closest to -1/4 in i, -0.08, 2? -0.08 Let m(j) = -j**3 + j - 6. Let a be m(-3). Let d be ((-1)/(-5))/(a/30). Suppose -7*o = -11*o + 20. What is the closest to -0.1 in o, d, -2/7? -2/7 Let y = 448.28803 + 0.01197. Let m = -448 + y. Let g = 2.91 + 0.09. Which is the nearest to -1? (a) g (b) 5 (c) m c Let j(m) = 2*m**3 + 196*m**2 + 182*m - 1145. Let u be j(-97). Which is the closest to -237? (a) u (b) 0 (c) -2/9 c Let u = 88 + -132. Let s = 131 - 86. Let f = u + s. Which is the nearest to f? (a) -0.2 (b) -1/6 (c) 1 c Let l be (-2)/(1 + 0/(-2)). Let r be ((-545)/(-50) - 11)/((-33)/9 + 4). Let p = -1.4 - -0.4. Which is the closest to p? (a) l (b) r (c) -2/5 c Let l = -27 - 14. Let s = l - -117. Let q = s - 73. Which is the closest to 6? (a) 2/3 (b) q (c) -2/15 b Let d = 0.0032 - 3.5072. Let m = -0.504 - d. What is the closest to m in -3, -4, -0.16? -0.16 Let z be 7 - 1 - ((-182)/(-42) - (-6)/9). Which is the closest to 1? (a) z (b) -5 (c) 10/9 a Suppose -26*t + 5*t + 164 = 20*t. Which is the nearest to -93? (a) 0.01 (b) 1/2 (c) t a Let x = 485 + -491. Let b be (x + 180/25)*15/(-1). What is the closest to -0.1 in b, 2/21, 0.01? 0.01 Let q = 2225 + -2225.8. Which is the closest to -2? (a) 8 (b) q (c) -4 b Let f = 3755 - 3823.99. Let k = -69 - f. What is the closest to k in 0.1, 2, -1/7? 0.1 Let a = -4.315 - -3.915. What is the nearest to 1 in a, 0.006, -3, 4? 0.006 Suppose g = -18 - 15. Let b be -3*g/(-63) - -3. Let r = b + -64/35. What is the nearest to r in -5, -1/5, -2/13? -1/5 Suppose -4*f + 11 + 0 = t, -5 = t - 4*f. Which is the closest to -291? (a) -2/3 (b) -3/5 (c) t a Let p = -59/204 + 2/51. Let i = -166 - -285. Let q = 121 - i. Which is the nearest to q? (a) 5/6 (b) p (c) -0.2 a Let n be (4/14)/(-10 + (-918)/(-42)). Let j = n + 144/913. What is the closest to -0.04 in -2, 0.5, j? j Let t = -92.339 - -0.339. Let l = t + 94. Let d = 2/5 + -16/15. Which is the nearest to d? (a) -1/4 (b) -0.4 (c) l b Let p = 4.41 + -14.8. Let m = p - -3.79. Which is the nearest to 1/4? (a) m (b) 1/12 (c) -0.1 b Let d be 5 - (1964/396 - 9/(162/(-4))). Which is the closest to 2/65? (a) -3 (b) d (c) 2/11 c Let f be (-5 - 21996/(-27))/1. Let h = 810 - f. Which is the closest to 2/13? (a) -2/7 (b) -6 (c) 3 (d) h d Suppose 6 = 3*m, 0*n + 5*m - 86 = 2*n. Let u = -48 - n. Let g be 3 + (22/(-4))/(u/(-4)). What is the closest to -1 in g, 2/9, 1/6? 1/6 Let j = -5.526 - -5.626. Which is the nearest to j? (a) 0.3 (b) -3/5 (c) -31 a Let x be -1 - ((-20)/(-7))/(-2). Suppose 5*m - 1 = 3*t, -52 + 67 = -4*t - 7*m. What is the closest to 0.09 in 2/13, x, t? 2/13 Let q = -29.9 + 30. Let z = 79 - 82. Let a = 449/5 - 90. What is the closest to 3 in z, a, q? q Let h(o) = -2*o. Let n be h(-10). Let k be 6/n*84/126. Let p = 3 - 3.1. What is the closest to p in 0.5, -8, k? k Let q = -0.1 + 0.3. Let x = -76024.9 + 76025. What is the nearest to -3 in q, x, -2/5? -2/5 Let x be 110214/324 - (-1)/(-6). Let q be (-1012)/x - 5 - -8. Which is the nearest to -0.02? (a) 5 (b) 2 (c) q (d) 5/4 c Let p = 586 + -586.261. Let m = -0.069 + p. Let f = m + 0.43. Which is the nearest to -0.1? (a) f (b) 1/3 (c) -2 a Let b = -40852/11 - -3714. What is the closest to 0 in -0.5, b, 0, -5? 0 Let r = 4782 - 4784. What is the nearest to 0.1 in r, -1/6, -38? -1/6 Let z(l) = -l**3 - 25*l**2 - 25*l - 20. Let j be z(-24). Suppose -8*t - 16 = -j*t. Which is the nearest to 1/2? (a) t (b) 3 (c) -1/3 c Let z be (-3*(-12 + 520/39))/(84/(-2)). Which is the nearest to 2? (a) z (b) 1/6 (c) 49 (d) -2 b Let w = -7.21 - -6.21. What is the closest to -0.05 in 11, w, 1/5? 1/5 Let d = 6.892 - -0.108. Let n = -7.1 + d. Let y = 0.01 + 1.99. What is the closest to n in y, 2/5, 0? 0 Let o be 4*(-5)/160*-6. Let s = -144 - -141. What is the closest to 0 in -0.5, o, s? -0.5 Let f = 5341 + -5341.062. Which is the nearest to 0? (a) -3 (b) -1/2 (c) f c Let m = -33.6664 - 0.3336. What is the closest to m in 2, -1/3, -3? -3 Let r = -1500/13 + 10474/91. Let y = -2.2 + -4.2. Let n = 6 + y. What is the nearest to r in n, -2, 0.2? n Let n = 11.9 + -11.824. Let o = n + 116.924. Let g = 116.6 - o. Which is the nearest to 0.11? (a) g (b) 5 (c) 0.2 c Let d = -32 + 162/5. Suppose 8*s = 4*i + 3*s + 12, 0 = 2*s. Let t be (i + -1)/(3*42/(-9)). Which is the closest to t? (a) -2 (b) 5 (c) d c Let m = -4299 + 4297. Which is the closest to -0.03? (a) m (b) 2/7 (c) 3 b Let h = 10.8 + 17.2. Let y = -28 + h. Which is the nearest to y? (a) -7 (b) 0.3 (c) -3 b Let g = -4.972 - 0.028. Let j = 2 + g. Let m = -13/41 + -2/123. Which is the closest to m? (a) 5 (b) j (c) 3 b Let w = 128159/4 + -32039. Let n = -0.4 + 0.9. What is the closest to 6 in w, n, -1? w Let q = -53.27 + 53. Let f = 0.03 - q. Let y = -0.464105 - 0.035895. Which is the nearest to f? (a) y (b) 1/7 (c) 1 b Let w = 2646 - 2648. What is the nearest to 1/13 in -15, w, -0.2, -5? -0.2 Let t = 692/5 - 2086/15. Which is the nearest to t? (a) -9/4 (b) 2 (c) -0.4 (d) -1 c Suppose -11*g + 9 = -68. Let s be (-1 - 6)/g - (-4 - 0). Let d be ((-4)/20)/((-3)/5*s). Which is the closest to -2? (a) 0 (b) d (c) -2 c Let h = -0.21586 + -0.08414. What is the nearest to 1 in -0.67, -1, 1, h? 1 Let z = -8306 - -8305. What is the closest to 0.1 in z, -1/14, -1/3? -1/14 Let f(q) = 21*q + 7. Let g be f(0). Let r be ((-7)/(-6) - 1)/(g/(-28)). Let x = -0.57 - -0.17. Which is the closest to r? (a) -2 (b) x (c) 1 b Let c = -0.03 + 1.53. Let b = 1.6 - c. Suppose -y - 25 = -5*o
{ "pile_set_name": "DM Mathematics" }
e (4/36)/(((-2613)/3159)/(-67)). 9 What is the value of (9*56/8316)/((-3)/(-33))? 2/3 Evaluate (36*19/2280)/(44/44). 3/10 What is (-17)/(-1360)*-85*(-8)/(-16)*-8? 17/4 What is 137/(18221/114)*4/((-16)/84)? -18 Evaluate ((-74)/1*105/(-1260))/((-2)/12). -37 What is (-35)/(-5)*165/(-2310)*5*(-240)/(-6)? -100 6/(-45)*16*(-310)/41664 1/63 Evaluate (-12*9/(-108))/((-5)/65). -13 What is the value of ((-1)/(2/8))/(144*(-140)/231840)? 46 168/(-252)*(5/((-30)/(-1746)))/2 -97 What is ((-40860)/(-37455))/((-6)/(-429))? 78 What is (-3)/(-6)*200870/(-1895)? -53 What is the value of (1/3)/(2/(-6)*89)*(-184367)/(-184367)? -1/89 Evaluate (3*(-282)/27)/(((-600)/(-36))/50). -94 Calculate (10/(-2))/((-66)/(3498/(-5))). -53 Calculate -22*((-276)/(-1196))/((-24)/(-208)). -44 What is ((-3204)/(-8188))/(2/23)? 9/2 What is the value of (-31)/31*1134/(-45)*10/(-6)? -42 Evaluate (28/(-16))/(7854/(-403920)). 90 Calculate (37/((-296)/10))/((-6)/(-4)*2/(-72)). 30 21303/2893*(-3)/27*-6 54/11 What is (-1137096)/252688*4*(-11)/6? 33 What is the value of ((-18)/(-16)*-12*(-12)/36)/((-15)/(-40))? 12 Calculate (-17253)/1491*14/(-3). 54 What is the value of 3/((14/28*3*2/4)/(-10))? -40 Evaluate 285/18*11277/95228. 15/8 Calculate -14*30*76/(-327180). 4/41 Evaluate (274169/248304)/((-3)/(-144)). 53 What is ((-79695)/(-36))/55*20/(-210)*30? -115 What is the value of (8/80*10)/(6*(-5)/2)*12? -4/5 What is (-3)/165*(-2530)/(-920)*(-20)/12? 1/12 (-16)/(-5)*(-3)/12*(-6780)/5424 1 ((205/(-41))/((-11)/(66/(-27))))/((-16)/288) 20 What is the value of ((-783)/(-9))/(224/(-560)*15/2)? -29 What is 3/(-2)*(60/90)/((-2)/(-44))? -22 What is the value of 80/(-6)*-64*117/28080*18/4? 16 Calculate ((-46116)/25620)/((-6)/80). 24 What is ((-36)/(-21))/((-9144)/(-3810))? 5/7 What is (8208/(-532))/(12/28)? -36 What is the value of ((-5)/(-12))/(-5)*(-240)/40*6/4? 3/4 What is ((-40)/180)/(75/((-16875)/(-30)))? -5/3 What is the value of (15/(-120))/(126/16128)? -16 1500/(-165)*1265/2070 -50/9 What is (2/6)/(((-308)/(-2607))/(-28))? -79 What is the value of (((-1)/2*0)/(123/(-41)))/(-1)? 0 ((-7)/((-14)/20))/(220/8*(-2)/(-132)) 24 What is ((-3713)/79)/(-893)*0? 0 Calculate (-525)/(-14)*478/(-717). -25 Evaluate 56/56*9/((-63)/203). -29 What is 13095/28809*-3*(-4)/210? 2/77 Calculate ((188/658)/(2/42))/((-4)/42). -63 What is the value of (2993/(-2993))/((-14)/(-12))? -6/7 (-157)/(19311/(-1025))*(-18)/2 -75 Evaluate (14*(-18)/924)/((-5)/165). 9 (-4)/(((-9)/(-6))/(180/(-780))) 8/13 5/1*8/14*(-53907)/9060 -17 Calculate 14/(((-12625)/(-300))/(-101)*3). -56/5 (-1)/6*5220/(-4350)*-6 -6/5 Evaluate (9/(-7))/((-234)/(-28665)*-5). 63/2 Evaluate 63040/(-2758)*(-210)/225. 64/3 Evaluate (-7*27/(-126)*-60)/((-7)/42*9). 60 What is 5*3/(-3)*(-4)/20*1/(-1)? -1 Evaluate (-9)/(-183)*(1/9*-5)/((-14240)/(-17088)). -2/61 What is (-3324)/3601*(-156)/8? 18 -9*3/(-15)*(-7)/((-630)/(-2850)) -57 Calculate (-660)/770*42*(-1)/4. 9 Evaluate (-50)/525*91/26. -1/3 What is the value of 16/((-63)/28*(3944/(-51))/(-29))? -8/3 Evaluate (1226/(-14099))/(12/(-23)). 1/6 (((-438)/(-1533))/(4*(-2)/84))/(-15) 1/5 Calculate (4/14)/((-924)/(-1176)*90/(-110)). -4/9 (6/20)/((-8)/((-5640)/(-141))) -3/2 Calculate (-20)/8*48484/(-1955). 62 What is 3/(-106)*(-9118)/(-13677)? -1/53 Calculate (24/180)/(23/230). 4/3 Calculate (-420)/36*(-12)/(-4). -35 What is ((-56)/(-980))/((108/14)/(-9)*(-42)/45)? 1/14 Calculate (29928/2408)/(12/84*1). 87 What is 32/(-48)*(-2)/157*-2*27/(-36)? 2/157 What is 24/(-8)*(-23)/((-276)/(-16))? 4 Calculate (35/((-65975)/52))/(-1*(15/3)/25). 4/29 Calculate ((-84)/40*(-216)/(-126))/((-2)/20). 36 Evaluate ((-15)/(-6))/(144/(-2016)). -35 What is 3/(((105/(-355))/(-7))/(((-204)/(-12))/(-17)))? -71 Evaluate 5197/20788*2/(-11). -1/22 What is (420/(-36))/(1060/53)? -7/12 Evaluate (31475/(-18885))/(10/462). -77 What is the value of ((-380)/(-760))/((34/969)/((-40)/(-18)))? 95/3 Evaluate -4*65/(-5)*(-3)/(-21)*-7. -52 26/(-9)*(-5361)/1091857 2/141 What is the value of ((-64)/66)/(-4)*(10/(-15))/((-28)/(-378))? -24/11 Evaluate ((-1)/(-8))/(973/(-3336)). -3/7 What is (1/((35/(-7))/5))/(-2*(-7)/(-126))? 9 Calculate (-16)/224*-1043*(6/9)/((-29)/87). -149 ((-150)/875*7/1)/(((-47658)/(-195))/(-26)) 6/47 What is (4/4)/((-1896)/83424)? -44 Evaluate (-1)/(-5*((-1440)/(-5400))/(4/19)). 3/19 490/(-735)*261/1334 -3/23 What is (-3*(-104)/(-30))/((756/(-35))/(-54))? -26 What is ((-6)/(-10))/(12720/2226*(-42)/(-75))? 3/16 Evaluate 10/1*((-53900)/(-352))/175. 35/4 What is 121/5*(-117435)/(-86119)? 33 ((-2076)/3633)/(8*(-4)/2296) 41 Calculate ((-184)/(-391))/((-640)/(-2720)). 2 Calculate 1*2*57807/(-4282). -27 Calculate (736/12)/23*(-4437)/102. -116 Evaluate (((-6)/33)/(1456/2288))/((-26)/(-13)). -1/7 What is the value of (1134/162)/(-7*(-9)/(-90))? -10 What is the value of (((-5)/(-20))/((-18)/(1080/310)))/((-27)/(-12))? -2/93 Evaluate (-2*4/144)/(3*(-25)/225). 1/6 (36/420)/(1245/(-8300)) -4/7 What is the value of ((-7200)/(-570))/(-16)*1/(-3)*6/5? 6/19 Calculate (2748/(-41678))/(3/7). -2/13 What is 8/(-300)*94/235*50? -8/15 Evaluate (576/256)/((-3)/4)*75/9*2. -50 22/(308/819)*8*26/(-1404) -26/3 What is 48*24/216*21/28? 4 What is the value of ((-6010)/(-3606))/((8/(-33))/8)? -55 Calculate (-7108936)/91610*5/(-12). 97/3 (-32)/3*(-3)/(-1)*301/(-301) 32 What is the value of 12*11*9082/(-72656)? -33/2 What is (20/(-24)*8)/((6370/105)/(-91))? 10 What is ((108/(-16))/1)/((-678)/(-904))? -9 What is (20/(640/(-16))*0)/3? 0 Evaluate (-8924)/120474*18/(-110). 2/165 Calculate (((-462)/(-869))/14)/((-90)/(-60)). 2/79 Evaluate -5*21/140*(-1)/((-9)/(-48)*34). 2/17 (-4*408/(-32))/(-3)*(-10)/(30/(-9)) -51 What is the value of 56/98*3580/(-2864)? -5/7 What is the value of ((1476/270)/82*12)/(16/350)? 35/2 ((7110/(-316))/((-15)/9*3))/(102/(-16)) -12/17 What is (4*5/110)/((-115)/230)? -4/11 Calculate 13/5*(-4965)/(-154908). 1/12 What is the value of (-40*(-18)/5400)/(4/(-20))? -2/3 What is the value of 48/(-38*(-44)/(-1254))? -36 What is 10/3*1*-5*16/600? -4/9 What is (-377825)/(-21590)*76/(-14)? -95 -60*((-18)/(-16))/((-627)/418) 45 Calculate (48/(-18))/((-24)/((-312)/13)). -8/3 Evaluate (-235)/(-5)*((4/(-1))/12)/(18/54). -47 Evaluate 14144/2652*(-3)/(-7)*-1. -16/7 Calculate ((-6)/14)/(2912/1568). -3/13 What is the value of ((-200343)/1880142)/((-26)/(-16))? -4/61 Evaluate ((-244)/(-4)*-1*-2)/(118/(-1770)*30). -61 What is (1645/(-16920))/((-25)/800)? 28/9 ((-2574)/286)/(4/16) -36 Calculate (-182)/(-52)*(-208)/(-28). 26 Evaluate (-4560)/285*(25/4)/5. -20 (-5*(-1)/2)/((-810)/(-486))*(-7)/14 -3/4 Evaluate (24640/(-11000))/(12/(-150)*10). 14/5 What is the value of ((-36)/27)/((-5904)/820)? 5/27 199/(31044/(-26))*(-4)/138 1/207 Evaluate ((-153)/136)/((-224451)/2448). 2/163 What is the value of ((-2)/(-6))/(6655/968)*1/(-16)*12? -2/55 Calculate (440/1386*(-36)/30)/(15/35). -8/9 Evaluate 6*(428/(-2247))/((-152)/(-4123)). -31 Evaluate ((-11628)/3496)/153*1. -1/46 What is 1/((-22)/(-11))*(-138)/(-69)*33/24? 11/8 Calculate (-165)/(43*(-354)/(-5074)). -55 What is 12/(-1869)*(-665)/(-190)? -2/89 Calculate (-8)/(-48)*-9*2*5329/(-219). 73 What is the value of (126/14)/((-8)/(48/1))? -54 Calculate 10/(-188)*(1*3)/(57*(-180)/2736). 2/47 Evaluate (6006/2288)/(42/(-1232)). -77 (8789/517)/(68/(-412)) -103 (8*50/1040)/((-696)/1508) -5/6 What is the value of ((-9)/231*(-1683)/306)/(8/7)*-52? -39/4 What is ((-8172)/4767)/(30/665)? -38 Calculate -106*((-24)/(-84))/1*154/(-88). 53 (((-846)/24)/47)/((-15)/10*280/48) 3/35 Evaluate 9216/(-3072)*((-20)/35)/((-6)/119). -34 What is the value of -2*((-3555)/12)/79*-6? -45 Calculate ((10/(-12))/(7*(-9)/(-189)))/((-170)/10132). 149 ((-32)/(-1920)*32)/(60/(-50)) -4/9 What is (2205/8085)/(12/352)? 8 What is the value of 15/(-25)*3/(9/(-10))*90/(-1170)? -2/13 Evaluate (-3)/(-12)*48/(-390)*(-7930)/305. 4/5 What is the value of ((-639)/(-2556))/((-12)/(-160)*(-4)/(-78))? 65 What is the value of -5*(-21)/(-14)*(-856)/4494? 10/7 Evaluate (18/(-24))/(82/(1968/(-765))). 2/85 What is (60298/1652)/((-6)/8*4/6)? -73 ((1050/1197)/25)/(12*5/380) 2/9 Evaluate 6*5/(-105)*(-35)/6*26/13. 10/3 Evaluate ((-25)/(-50))/(6/(-18))*((-280)/3)/4. 35 Calculate ((-2)/(-2))/(35/13440*528). 8/11 (-16)/(((2420/(-66))/22)/((-15)/36*2)) -8 What is 88/72*(13050/(-116))/(-25)? 11/2 What is
{ "pile_set_name": "DM Mathematics" }
x = -3*j - 5*u, -5*j + 3*u = -6 + 20 for j. -1 Let r be 1/((-4 - -3)/(-3)). Suppose -15 = -r*s - 6. Solve -3*l + 2*v = -2*v + 2, 0 = -3*l + s*v for l. 2 Let u = 63 - 36. Suppose 0 = a + 4*j + 6, -2*a = -6*a + 5*j + 18. Solve 11 = -3*g + 4*q, -5*g - a*q - u = -0*g for g. -5 Let x be 39/26*(2 - 0). Solve -4*q - x*f - 2*f + 45 = 0, -f = -4*q + 15 for q. 5 Let j be 3 - (6/12)/((-2)/(-4)). Solve 0 = 4*f + j*n - n - 12, -5*f = -4*n + 6 for f. 2 Let t = 1 - -1. Suppose 4*w + u - 23 = 0, 3*w = -2*u + 93 - 72. Solve -h + w*z - 9 = 0, -t*h - 5*z + 12 = -0*z for h. 1 Let v = 22 - 18. Solve 2*m - v*c = -2*m + 4, 2*m - 5*c = -4 for m. 3 Suppose 60 = 4*p + 5*f, 0 = -5*p + f - 0*f + 75. Let s = p + 0. Let j = 1 - 1. Solve r - 5*y + 9 = 0, j = 4*r + r + 5*y - s for r. 1 Let n = -39 - -23. Let i = n - -21. Solve 21 + 6 = 4*q - i*x, -5*x - 12 = q for q. 3 Let r be -2*(-4)/(-6)*-3. Solve r*h = -c + 19, 3*h = 5*c - c + 19 for h. 5 Let c(m) = -5*m - 1. Let j be 2 + 3/2*-2. Let s be c(j). Solve -i - i = -w - s, 14 = -5*w + 4*i for w. -2 Let p(z) = -z**2 - 7*z + 25. Let u be p(-9). Solve 3*f - 4*c = -5, 4*c - 8 = f + u for f. 5 Let y be 1/1 - -3 - -1. Let n(t) = -t**2 - 14*t + 2. Let l be n(-14). Solve 0 + y = v + l*i, -v + 5 = -i for v. 5 Let j(h) = -h**2 + 13*h + 16. Let q be j(13). Solve 5*k - q = -5*z + k, 3*k + 3 = 0 for z. 4 Suppose 0 = 5*c - 28 + 3. Solve -4*w = 4*t + 4, -2*t - 3*t - 35 = -c*w for w. 3 Let k(b) = 2*b**2. Let v be k(1). Suppose v = -x + 6. Solve 0 = -z - f, -x*f = 2*z + 6 + 4 for z. 5 Let y = 6 + 2. Let r = -5 + y. Suppose -16 = -p - r*p. Solve 5*k = -5*f + 10, 17 = -5*k + p*f - 0*f for k. -1 Let v = 30 - 17. Solve v = -5*i + 4*k, 3*k + 0 = 6 for i. -1 Let d = 51 - 48. Solve 4*f = 3*q + 28, q + 5 = d*f - 11 for f. 4 Let v = 2 + 1. Suppose v*a = 2*b - 4 - 11, 15 = -5*b - 3*a. Solve 0 = 2*o - 0*o - 4*p + 14, b = -2*p + 4 for o. -3 Let x(c) = c**3 + 8*c**2 + 9*c + 17. Let g be x(-7). Solve g*r - 3*f + 3 = 0, 2*r + 0*r + 6 = 4*f for r. 1 Suppose 0 = -0*o - 3*o - 3. Let u be o/(-3) - 2/6. Solve 3*y - 17 = q, u*y = 2*y - 8 for q. -5 Let m(r) = r**2 + 8*r - 13. Let k be m(-9). Let a be (18/k)/((-1)/2). Solve a*h - 4*h = -4*c - 32, -16 = h + 4*c for h. -4 Suppose -4*q + 2*o + 22 = 0, 4*q + 6*o = 2*o - 8. Let m be 3*(2 - 2/q). Solve -3*g - 4 + 23 = m*b, -b = -5*g + 1 for b. 4 Suppose 2*v + 2*v = 4*n - 56, -2*v - 24 = -4*n. Let i = v + 18. Solve -t + 5*t = 20, -i*j - 2*t = -12 for j. 1 Let r = 30 + -27. Solve u = -2*q + 7, r*q - 8*u = -3*u - 9 for q. 2 Let r be (-2)/(-6)*(3 + 30). Let t = 16 - r. Solve -2*x - 4 = 0, -t*v - 10 = -v - 3*x for v. -4 Let a(l) be the third derivative of l**5/60 + l**4/8 + 3*l**2. Let u be a(-4). Solve 0 = 5*r - u*g + 6, 2*r - 2*g + 4 = -0*g for r. 2 Let d(o) = o**2 - 4*o + 2. Let m(r) = 5*r**2 - 17*r + 7. Let c(t) = 9*d(t) - 2*m(t). Let a be c(0). Solve -31 = -a*z - 3*y, 5*z + 2*y - 40 = -2*y for z. 4 Suppose 0 = -3*r + 2*r + 4. Suppose r*g + g = 20. Let j be (-4)/6 - (-15)/9. Solve t - 2*k - 11 = 0, g - j = 3*t + 4*k for t. 5 Suppose 0 = -4*u - 197 + 217. Suppose -4*w - g = -43, -w + 36 = 2*w - 3*g. Solve 2*k = u*i, 3*k + w = -3*i - 10 for k. -5 Let l be -6 + (0 - -3) - -20. Solve 3 = -y - w, 2*y = -3*y + 3*w + l for y. 1 Suppose 2*m = 12 + 28. Let z = 6 + m. Solve -q + d = 1 - 8, 5*q - 2*d = z for q. 4 Let n be 0/((-5)/(-10)*-2). Solve 3*u + 4*m + 8 = 0, n*u - 2*u + 4 = -2*m for u. 0 Let y(l) = -15*l**3 + l**2 + l. Let x be y(-1). Solve -x + 3 = -5*d - p, -4*d + 16 = 4*p for d. 2 Let m be -7 - (9*-1)/3. Let h be (-25)/(-10) + 2/m. Solve -h*c + 2 = 2*j, -j + 4*c = j + 4 for j. 0 Let q(v) = -v**3 - 3*v**2 + 10*v + 30. Let b be q(-4). Suppose 0 = -3*j + 15 - 3. Solve -4 = -5*m - 4*o - b, -j*m = -5*o + 18 for m. -2 Suppose o + 64 = 5*o. Solve -3*z + o = -4*b - 0*b, b + 13 = 3*z for b. -1 Let b be (-3 - -5)*3/6. Let x be 6*2/6*b. Solve -5*s + 18 = -4*m, 5*m - m - x = -5*s for s. 2 Let d(o) = -o**2 + 2. Let b be d(2). Let r be (b + 1)/(3/(-12)). Solve 23 = 5*l + 3*q, -q + 9 = 3*l - r*q for l. 4 Let l = 18 + -14. Solve 3*v - l*t + 3 = -1, -4*t + 8 = -4*v for v. -4 Suppose 0 = 3*y + 2*l - 51, -7 - 40 = -2*y + 3*l. Solve 2*v = -3*t + 2 + 10, -3*v - 5*t + y = 0 for v. 3 Let j(h) be the third derivative of 0 + 2*h**2 - 1/24*h**4 + 0*h + 11/6*h**3. Let g be j(8). Solve 0 = -4*s - 4*w - 8, 5*w = -g*s + 6*s - 10 for s. 0 Let m be (-16)/(-6) + 44/(-66). Let q = -4 - -3. Let v be 3*8*q/(-6). Solve -i + 2*i - m*d = -2, v = 4*d for i. 0 Let d(y) = -3*y. Let l be d(-1). Let z be ((-3)/(-12))/(l/24). Solve 0 = 3*h - z*o - 7, 0 = -5*h + h + 4*o + 8 for h. 3 Let b be (0 + (1 - 0))*9. Suppose -b*i + 18 = -7*i. Suppose -4*p + 22 + 6 = 0. Solve -w - 5*h + i = 0, p*w + 2*h - 14 = 4*w for w. 4 Let t = -47 + 67. Solve -2*k - 2*k = -3*c - 20, 0 = 4*k - t for c. 0 Suppose 3*x - 5 - 4 = 0. Suppose -5*w - 4 = -5*z - 34, 0 = -4*w + x*z + 23. Suppose 0*n + 20 = 5*n. Solve -l = 3*l + 2*t, 0 = -w*l - n*t for l. 0 Let i(o) = -30*o**3 + o**2 - o. Let l be i(1). Let z = 53 + l. Suppose -t - s + 4 = -1, 4*t + 3*s - z = 0. Solve -y + 11 - 32 = 4*f, 2*y - t = 2*f for f. -5 Let i(g) = 12*g - 4. Let b be i(4). Suppose -2*y + b - 4 = 0. Let v(r) = 7*r**3 - r**2 + r - 1. Let j be v(1). Solve 2*m + z = -7, -5*m - j*z = -3*z + y for m. -1 Let v(x) = x - 2. Let b be v(9). Solve -3*z - 3*a = a + 19, -z + b = -2*a for z. -1 Let y = -12 - -14. Suppose -z + 6*z = 4*j - 20, 3*j - 15 = y*z. Solve -4*w + 2 = -3*u, j*w - 10 = -3*u + 6 for w. 2 Let h(g) = g**3 + 5*g**2 + 2*g - 6. Let w be h(-4). Solve 4*z - w*c + 6 = -z, 4 = -5*z + 3*c for z. -2 Suppose -2*r = -r + 1. Let y(t) = 3*t + 2. Let q(w) = 1. Let p(x) = r*y(x) + 3*q(x). Let d be p(-1). Solve -c = -4*c + 2*a - 23, -d*c + a - 24 = 0 for c. -5 Let l(j) = -2*j - 1. Let p be l(-2). Let h(d) = d**2 + 3*d - 6. Let y be h(-6). Suppose -3*a + 0*a = -y. Solve -2*n - v - p = 0, 5*n + 3*v + a = -4 for n. -1 Let w be 6/21 + (-2)/7. Suppose w*y + 4*m = 4*y + 16, 4*y - m = -4. Solve 0 = 4*g + 4, y = -2*p + 2*g + 5 + 3 for p. 3 Let d be 15*((-6)/10 - -1). Solve 3*f = -3*i - d, i = -5*f + 1 + 1 for f. 1 Let r(d) = -d**3 - 3*d**2 + 3*d - 2. Let b be r(-4). Let m(v) = -v - 13. Let u be m(-14). Solve -5*z - 4*n - 22 = 0, n + b + u = 0 for z. -2 Suppose -3*w - 8 = -i + 7, -3*w = i + 15. Suppose i = -6*c + 2*c + 12. Solve 0 = -4*t + 3*t + 3*o - c, -t - o - 3 = 0 for t. -3 Let x = 32 + -28. Solve x*r = -i - 22, 0*r - 5*r + 5*i = 15 for r. -5 Suppose 7*r - 4*r + 9 = 0. Let u be (-1 - 1) + r/(-1). Let a be 2/(1 + -3) + u. Solve a = -4*c - c - 25, 0 = 4*o - 5*c - 21 for o. -1 Let m be (0/(0 + -2))/(-2). Let x(n) = n**2 - 5*n + 1. Let d be x(5). Suppose u + d - 4 = m. Solve 4*r = u*t + 29, 3*r - 2*r + 4*t + 7 = 0 for r. 5 Let a(m) = -m + 11. Suppose 4*q - 5*q = -8. Let w be a(q). Suppose 0*j + 3*k = -4*j + 29, 0 = w*j - 5*k. Solve j*v - 5*n = 25, 0 = -3*v - 2*v + 4*n + 25 for v. 5 Suppose -6 - 10 = -4*j. Suppose 0*h + 4*h = 2*t + 16, 0 = -5*h - 3*t + 20. Let r be (1 - (h - 3)) + j. Solve 4*g = a + 19, -r*a - 3*g = 2*g - 29 for a. 1 Suppose -16 + 4 = -4*p. Suppose -p*j - 13 = -4. Let o be (-50)/j + 2/6. Solve -3*c + 0*c = -2*h - o, -5*h + c - 23 = 0 for h. -4 Suppose 0 = 41*g - 38*g. Solve -4*k - 2*m = 12, 2*k + 4*m + 0*m + 12 = g for k. -2 Let t = 7 + -3. Solve 3*a + 5*w - 16 = 7*a, -t*a - w - 16 = 0 for a. -4 Let p(n) = -n**3 - 4*n**2 + 16*n - 23. Let v be p(-7). Suppose -5*r + a = -8 - 6, 0 = 5*r + 4*a + 6. Solve 3*z - 6 = -0*z, -r*y = -z + v for y. -5 Let s be -4*((-153)/(-6) - 0). Let v be 2/(-6) + s/(-9). Solve -3*i + v = -4*i - 5*q, -2*i + q = 0 for i. -1 Let y = -16 + 17. Let v be (1 - y) + (-1 - -25). Solve 0 = -4*f - 4*z - v, 3*z = -2*f + 7*z + 6 for f. -3 Suppose 53 = 6*h - 31. Solve h = 5*n + 2*g, 3*n - 2*g - 9 - 9 = 0 for n. 4 Let b(r) = -3*r + 10. Let s be b(0). Solve -4*y = -4*v - 12, -2*y + s = -3*v - 0*v for v. -4 Let y(d) = d. Let c be y(5). Let w = 5 - c. Solve -s = -5*t - w*s + 14, -4*s - 16 = 0 for t. 2 Suppose 0 = -b - 2*b + 42. Suppose -5*l + 0*l + 20 = 0. Suppose -l*n = -11 - 9. Solve -2*k = -n*f + k + 12, k + b = 5*f for f. 3 Let w(k) = k**3 - 16*k**2 + 16*k. Let q be w(15). Let c(t) = t**2 - 7*t - 5. Let j be c(8). Solve 2*u - 10 = -j*z, -4*z = -4*u + u + q for z. 0 Let u = 4 - -15. Solve -7 = 4*j + 5*v - 30, -5*j - 3
{ "pile_set_name": "DM Mathematics" }
alse Let x be -64 - ((8 + -5 - 1) + -3). Which is greater: -59 or x? -59 Let l(d) = -d**2 + 10*d - 3. Let i be l(10). Let m be 1 + i + 4 - 2. Let n be (m/(-2))/(10/5). Which is greater: n or -1/6? n Let q(g) be the first derivative of -g**3/3 + 9*g**2/2 + 9*g - 2. Let a be q(9). Which is greater: 8 or a? a Let f be 0 - 4 - -3 - -11. Let b be ((-8)/f)/((-9)/(225/10)). Suppose -7 = -3*a - 1. Is a at least b? True Let p = -7747/3 + 2577. Let i = -5/2 - -3. Which is smaller: i or p? p Let g(v) = v**3 + 3*v**2 - 27. Let b be g(-6). Let f = b - -821/6. Is 0 > f? False Let h(w) = -w**3 - 2*w**2 + 2*w - 2. Let r be h(-3). Let s be 6 + ((-1764)/(-3885))/((-6)/80). Is s <= r? True Let k = 404 - 396. Let x(n) = n**2 + n - 4. Let g be x(-4). Is g < k? False Suppose 2*y = -2*y. Let p = -368 + 16191/44. Are p and y equal? False Let l = 6730 + -6757. Let w(h) = h**3 - 2*h**2 + h - 1. Let c be w(2). Let q be 3/c*(-2 - 7). Is l at most as big as q? True Let g = -26 + 28. Suppose -2*k + 34 = g*r, 2*k + 2*k - 53 = -3*r. Which is bigger: r or 14? r Let h be (-142)/(-2)*5/1015. Let v = -3/406 - h. Are v and 1 equal? False Let g = -27 - -40. Suppose -4*x - 58 = 2*w, 3*x = 2*x + 5*w + g. Is -10 <= x? False Let z be 1640/(-48) + 36/24. Is z > -33? True Suppose 2*g + g = -x + 36, 0 = -g + x + 12. Let o be (g/(-5))/(16/120). Is o bigger than -17? False Let s = -9 + 11. Suppose 3*p - s*y = 16, -2*p + 2*y - 4*y + 24 = 0. Let o = 395 - 390. Which is greater: p or o? p Suppose -2*q = -4*p - 6, -q + 3*p = 3 - 6. Let f be (q + -5 + 2)/1. Let t = -18/11 - -17/11. Is t >= f? False Suppose -4*c - 2*t = 22, -3*c - t + 4*t = 3. Let x(g) be the third derivative of -g**5/60 - g**4/6 - g**3 - 7*g**2. Let o be x(c). Which is smaller: -5 or o? o Suppose -4*z - 5 = -1. Let d = 82912 + -1415932/17. Let u = -378 - d. Which is smaller: z or u? z Let o be 2/6 - (-17762)/(-249). Is o greater than -69? False Let p be (-1274)/(-5976) - 40/180. Which is bigger: -1 or p? p Let z = 159 - 159. Is z bigger than -2/7? True Let z = -6 + -5. Let f = -10 - z. Suppose -2*g = 2*q - 10, -2*q + 7*q - 15 = 5*g. Is f at least as big as g? True Let z = -30.3 + 31. Let w = -0.6 + z. Which is smaller: w or -9? -9 Suppose -338 = 5*a + 3*w, -2*a - a - w = 202. Let k = 67 + a. Which is greater: -1/164 or k? k Let h(d) = -45*d + 12*d**2 - 34*d + 23 - 31*d - d**3 + 93*d. Let a be h(11). Which is bigger: a or 1? 1 Let p = -2 - -1. Suppose -5*j - 3*b - 2295 = -0*b, 3*j + 1383 = -3*b. Let f be (-1)/6 - (1 + 484/j). Which is smaller: p or f? p Let r = 285 + -279.8. Is r greater than 3? True Suppose 3*s = -15, 2*s = 4*v + 28 + 30. Suppose 4*o = -68 - 156. Let d = o - -39. Is d bigger than v? False Let p = -119 - -120.58. Let w = 5.32 + p. Let x = w - 7. Are 0.07 and x non-equal? True Let s = -12041/946 + 1/946. Which is greater: s or -12? -12 Let z(f) = f**2 - 6*f + 7. Let d be z(4). Let t be d/4 - (5505/1164 - 5). Is t greater than 1? False Let r be 12213/483 - (10 + -1). Which is smaller: 3 or r? 3 Let i = 744 - 516. Let a = i + -4790/21. Which is bigger: a or -1? a Suppose -3*h = h - 28. Let p(f) = 4*f - 10. Let x be p(h). Is x at most 17? False Suppose 27*t - 269 = 514. Let m = -0.2 - 0.8. Are t and m equal? False Let r = -9 - -19. Let a be (-5)/20 - r/(-8). Suppose 0 = 4*d + a - 5. Is d smaller than 1? False Let b = 198 + -200. Is b at least as big as 0? False Let r = 33.9 + 7.1. Let h = -40 + r. Which is bigger: h or 1/20? h Let g = 679/1467 + -3/163. Let u(l) = l. Let a be u(4). Let q be (-9)/(-7) + a/(-14). Which is greater: g or q? q Let w = -45965/43 - -1069. Let a(d) = -d - 2*d - 7 + 2*d. Let o be a(-6). Which is greater: w or o? w Let c be -4 + 77/14 + (-510)/(-4). Which is greater: 128 or c? c Suppose -2*l - 3*l = 270. Let s = 20 + l. Let n be -2 - (30/s + -1). Are 0 and n nonequal? True Let o = -117 - -114. Is o > -44/19? False Let v = 98.88 + 8.12. Is -1 equal to v? False Let f be -10*-1*2/5. Suppose m = 4*k - k - f, 3*k + 4*m = 29. Suppose 4*w - 2 = 5*c - k, w - 4 = -3*c. Is w at most 4/9? False Let q = 1/555 + -1157/26085. Which is bigger: 0 or q? 0 Suppose -2*x - x = 0. Suppose -n + 16 = -4*h, 2*n - 4*h + 1 = 29. Let k be (n - 13)*4/(-42). Which is bigger: k or x? k Let h = -1858/159 + 35/3. Suppose -32*y - 4*d - 11 = -35*y, y = 3*d + 7. Which is bigger: h or y? y Let u be 8/(-1 + (4 - 1)). Suppose -5*x - u*v - 118 = 0, v + 4*v + 11 = -x. Is x <= -26? True Let h = 1.8 + 0.2. Let d = 912 + -913. Is h less than d? False Suppose -14 = -5*p + 6. Suppose p*t - 9 = -1. Suppose 0 = -y - 3*j, -5*y = j + t*j. Is 2/9 < y? False Let l = 812 - 788. Which is greater: 13 or l? l Let q(i) be the second derivative of -i**3/2 - 43*i**2/2 + 10*i. Let z be q(-14). Is 28 bigger than z? True Let b(k) = k**2 + 11*k + 4. Let r be b(-11). Suppose -5*g = -g + 4*j - 12, r*g + j = 21. Let x be -1*(-2)/g*0. Is -1/5 smaller than x? True Let f = 0.25 - 0.05. Let x = f + 0.8. Let u = -81 - -86. Which is bigger: x or u? u Suppose 3*h + 22 = 5*h. Let u(x) = -x**3 + 10*x**2 + 11*x - 14. Let l be u(h). Which is greater: -15 or l? l Let t be (-4)/7 - 36/(-14). Suppose 5*h + 5*m = 135, 23 + 31 = t*h + 3*m. Let l be ((-12)/10)/(h/90). Does -3 = l? False Let f(x) = -x**2 - 4*x + 48. Let o be f(-9). Is o greater than 18/7? True Suppose 0 = -4*p + v + 802, p + 2*p - 599 = 2*v. Is 201 greater than p? False Suppose 0 = -6*b - b + 7. Suppose 0 = 8*a + 9 - b. Suppose 1 = -4*j - 11. Which is smaller: j or a? j Let q(g) be the third derivative of g**6/120 + g**5/12 - g**3/3 - 4*g**2. Suppose -2*t = t + 5*v + 5, t - 2*v + 9 = 0. Let a be q(t). Is -1 equal to a? False Let j(s) = -s**3 + 5*s**2 + 3*s - 8. Let d be j(6). Let t(v) = -v**2 - 24*v + 58. Let i be t(d). Is i > 36/7? True Let b be 1 - (23 + -23)/(3 + -1). Which is bigger: 9/91 or b? b Let z = 0.2 + -0.4. Let p = 16/3 + -5. Do z and p have different values? True Let d be (-1)/(-2) + -22*(-17)/748. Is d >= 1/1600? True Let v = 1520 + -28915/19. Which is smaller: v or -1? v Suppose -12*n + 4*n = 8. Let u(x) = x**3 - 5*x**2 - 6*x + 3. Let y be u(6). Let f be 40/(-84) - (-1)/y. Which is bigger: n or f? f Suppose -k + 3 = -1. Let y be k/(-30) + (-522)/135. Let m be (-1)/((28/(-12))/(-7)). Which is smaller: y or m? y Let r = 9/2 + 13. Let y = r - 18. Is y greater than 0? False Suppose 94 = -3*z + 70. Are z and -8 nonequal? False Let u(t) = -3*t**2 - 3*t + 2. Let d be u(-4). Let q be ((-1)/4*d)/1. Which is smaller: 10 or q? q Let d be -2 + (-3 - 0)/(-15). Suppose -2*i - 4 = -0*i. Let l = i - d. Is l at least -2? True Let m be (6/9)/((-8)/36). Is m <= -6? False Let s(w) = -w**3 + 7*w**2 + 3*w - 3. Let f be s(7). Suppose 2*d = -d - f. Let v be -3 + 2 - 3*(-3)/(-9). Which is bigger: d or v? v Let m = -42.4 - -29.4. Is m bigger than 1/9? False Suppose 20 = -5*y - 0*y, -2*c - 4*y + 94 = 0. Let o be (-166)/(-3) - 10/20. Let l = o - c. Which is smaller: l or -1? -1 Let v = -108 - -138. Suppose -2*l + 11 = -51. Is v at most l? True Suppose 0 = -38*r - 50 + 12. Which is smaller: r or -2/1935? r Suppose 0 = -4*g + 162 - 70. Which is smaller: -4/9 or g? -4/9 Let m be 3 - (-2)/(-4)*0. Let k be (-910)/(-420) - 2/12. Which is smaller: k or m? k Let c be ((-15)/(-6) - 3)*594448/(-488). Let p = 609 - c. Is 0 at least as big as p? True Let g be 7 + -3 - (-9 - (0 + 174)). Is 188 equal to g? False Let v be (1 + 1)*1*26/(-4). Is v > -94/7? True Let f = 160 + -79. Suppose 0 = -4*o - 25 + f. Let v = -13 + 27. Is v > o? False Let m = 16580 + -16583. Let p = -675 + 11479/17. Is m >= p? False Let y = 112141/344 + -326. Is 1 < y? False Let r be (-6)/(-4) + (-567)/18. Let t be r/195 - 152/26. Let z(d) = -d - 2. Let o be z(t). Does o = 4? True Suppose 7*d + d = 7*d. Let f be ((-3)/(-20))/((-10)/(-75)). Which is greater: f or d? f Let h = 67 - 28. Let a be h/(-2)*8/6. Which is smaller: -25 or a? a Let o = -649/119 - -39/7. Suppose 0 = -5*m + 3*p + 40, 2*p = -10 - 0. Suppose -m*l + 21 = 4*z, -z + 5*l - 20 = -6*z. Do o and z have different values? True Let b = 55120/21 + -2625. Which is smaller: 0 or b? b Let f = 1254 - 950. Is 302 equal to f? False Let s be (2216/560 + (-4)/(-10))*2. Is 8 >= s? False Let w be (16 + 2)/(-3)*(-3)/6. Suppose w*l - 2*n - 2 = -23, 2*l = 2*n - 14. Let m(u) = u**2 - 6*u - 1. Let r be m(5). Is l at
{ "pile_set_name": "DM Mathematics" }
t t = 7 - 5. Suppose y + t*y = 7*y. Suppose y = -3*u + 2*u + 5*u. Solve -2*d - 4 = 0, u + 2 = x - d for x. 0 Let f = 4074 - 4058. Solve 13 = m - 5*l, -12*l + 7*l = -2*m + f for m. 3 Let r = 8 - -5. Let i = 417 + -380. Suppose i = 7*v - 75. Solve -5*q + 4*a = r - 0, 2*q + 2*a = -v for q. -5 Let j(w) = -3*w**2 + 48*w + 15. Let i be j(19). Let v = -156 - i. Solve y + 5*z - 25 = v, 4*y = -5*z + 30 + 10 for y. 5 Let d = 6537 - 6534. Solve v = d*y - 15, -2*y + 26*v - 27*v + 5 = 0 for y. 4 Let y(d) = -d**2 + 18*d + 118. Let b be y(23). Let k(h) = -11*h + 159. Let q be k(14). Solve 5*s - 5 = 8*n - b*n, -4*s - q*n = -31 for s. 4 Let s be 42/15*(100/(-30))/(6/(-9)). Solve -3*w = 4*z - 5, -s*z + 12 = -2*w - 9*z for w. -1 Let g = 3722 - 3706. Solve j = -o + 4*j + g, -4*o - 5*j = 21 for o. 1 Suppose -4*u + 13 = 3*j, -2*u + 4*j - 13 = -j. Suppose 0 = -2*d - u + 5. Let a be d + (2 - 0) + -1. Solve -5*c + 3*o - a = 1, 18 = 3*c + 5*o for c. 1 Let m = 60 - 57. Suppose 4*g = 20, 5*r + 2*g - 420 = -m*g. Suppose -3*o + r = 19. Solve -25 = 5*u - 0*n - 5*n, -o = -4*n for u. 0 Let w(r) = r**2 - 13*r + 15. Let y be w(12). Let a(i) = -3*i**3 - 13*i**2 + 9*i + 11. Let c be a(-5). Solve 7*k + 5*h = 2*k, k - y*h = c for k. 4 Let a(p) = p**2 - 16*p + 4. Suppose -18*x = -7*x - 187. Let j be a(x). Solve -5*g - 24 = -4*l - 8, 5*g + l + j = 0 for g. -4 Suppose 5*d - 464 = -2*p + 372, -1640 = -4*p - 2*d. Suppose -q - 394 = -p. Solve -3*y + 2*y = -4*f + q, -3*y - 10 = -4*f for y. 2 Suppose -5*w = 169*p - 171*p - 34, 3*p = -w + 17. Suppose 4*g + d + 17 = 0, -2*g - 23 = 2*g - d. Let b = g + w. Solve -2*s + 6*s + l = 2, b*s + l - 1 = 0 for s. 1 Let k = -11731 + 11773. Solve -2*b = 8, 4*b = -2*i - 64 + k for i. -3 Let a(f) = 4*f - 26. Let p be a(10). Let c be p/((-154)/(-99)) + -4 + -1. Solve -c*r + r = -15, 11 = k + 3*r for k. -4 Let q be (-6 + 3 + 2)*(-2 - -2). Suppose q = 36*f + 21 - 165. Solve 5*l + 1 = -2*d, -5*l - f = 6*d - 3*d for d. -3 Suppose 0 = -3*u - 4*w + 29 + 39, 2*u - 2*w - 36 = 0. Suppose 3*t = -2*d + 19, -d + 19 = 17. Let l = 3 + -1. Solve -2*k + 4*s = 22, -l*k + t*s - u = -k for k. -5 Let a(l) = -2*l - 20. Let n be a(-8). Let q be (1/(-1)*0 - -7) + n. Solve -2*p = -4*f + 26, q*f = -0*f + 12 for p. -5 Let c = 568 + -558. Let z = c - 8. Let f = -7 - -11. Solve 12 = -3*u - 2*j - f, 0 = z*u - j - 1 for u. -2 Let r(l) = 3*l + 111. Let c(p) = 8*p + 222. Let z(w) = -3*c(w) + 5*r(w). Let a be z(-13). Solve -8*u + 30 = 4*k - a*u, 0 = k + u - 10 for k. 5 Suppose -3*q + 422 = -w + 441, 0 = -4*w + 2*q + 106. Solve -d - 4*u + 7 = 0, -5*d - w*u - 34 = -31*u for d. -5 Let p be (-8)/16 + 59/(-2). Let k be (p/24)/((-1)/4). Solve -w - 2*f = 7, -4*f - 3 = k*w + 2 for w. 3 Suppose 0 = s + 2*k - 181, -474 - 280 = -4*s - 2*k. Let a = s - 189. Solve -2*i = a*d - 5*i + 8, -3*i = 0 for d. -4 Suppose 4*y = 7*y. Suppose y = f - 10 + 10. Let c(m) = m**3 + 5*m**2 - 5*m - 5. Let i be c(-5). Solve -5*h + h = i, f = 3*r - 2*h + 2 for r. -4 Let g(d) be the first derivative of -d**4/4 - 8*d**3 - 40*d**2 + 4*d + 21. Let y be g(-20). Solve 2*o + 0*a - 3*a - 1 = 0, -y*o = 4*a - 12 for o. 2 Let x = -1931 - -1934. Solve -3*n = -2*f - 6, -5*n + x*f = -9 - 2 for n. 4 Suppose -t = -3*z + 15, 4*t = -423*z + 424*z - 5. Solve -6*q + y = -q, 4*y = z*q for q. 0 Suppose 0 = -5*w + 30, -2*b + 3*w + 195 = 197. Solve -7*u + 10*u + s + 13 = 0, u = -4*s - b for u. -4 Let o(h) = 206*h + 623. Let w be o(-3). Solve -w*j + 7*j = z, -5*j - 5*z = 0 for j. 0 Suppose -10 = -7*n - 5*o, 2*o = -14*n + 10*n + 10. Solve -n*h + 9 = -4*r, 2*r + 9*h - 33 = 4*h for r. 4 Let l be 3/5*(22 - 2). Let x = l - 11. Let v(p) = 3*p + 2. Let u be v(x). Solve 3*r - 3*d = -3, -u*d + 2*d = -12 for r. 3 Let f = 1297 - 1293. Suppose 1 = -4*h + 9. Solve -3*y - 4*o - 28 = -0*y, f*o = -h*y - 24 for y. -4 Let u = -103 - -124. Suppose 18*o - 25*o + u = 0. Solve 0 = -2*t - k + 2 + 1, 1 = -o*t + 4*k for t. 1 Let c = 0 - -2. Suppose c*f - 14 = 2*u, 4*u + 28 = -2*f + f. Let i be ((2 - u) + 4*-1)/1. Solve 2*a = -i*y + 7, -4*y = -a - 4*a - 32 for a. -4 Suppose -388 = 11*c - 108*c. Let i = -16 + 5. Let m = -6 - i. Solve -c*y = m*t + 33, -2*t - 21 = 3*t - 2*y for t. -5 Suppose 4*m - m - 4*b - 15 = 0, -20 = -4*m - 2*b. Suppose 2*n + m*z + 4 = -0*z, 3*n = 2*z + 13. Solve i + 17 = -4*y, -3*i = n*y - 5*y + 9 for i. -5 Suppose -46*n + 300 = -76*n + 90*n. Let p(g) = -g + 5. Let j be p(0). Solve 2*i = -j*t - 15, n*t - t + 2*i = -12 for t. -3 Let d = 6851 - 6847. Solve -5*j + 20 = 9*t - 14*t, d*j = -t - 9 for j. -1 Let o = 2246 + -2244. Suppose 0 = -2*h - 4 + 18. Let t be (3/(-9))/((-1)/12). Solve 3*l = -o*a + t*l - h, -3*a - 17 = 5*l for a. -4 Let l(z) be the first derivative of z**2/2 + 67. Let r be l(4). Solve -i + 3*g - 5 = -g, -3*i - r = -g for i. -1 Let g(k) = 9*k + 24. Let q(p) = 37*p + 98. Let c(y) = -9*g(y) + 2*q(y). Let b be c(-5). Let l = 7 + -5. Solve -3*d - 6 = 2*r, -l*r = 5*d + 3*r + b for d. 0 Let f be 6/(-10) + (-18)/45. Let i be -5 - (-10 + 2/f). Solve o - i = -3*n, o - n = -o for o. 1 Suppose 2*b - 5*s - 38 = -63, -b = -4*s + 20. Suppose 3*q - a - 18 = -0*a, -3*q + 2*a + 18 = b. Solve -t - 5 = -5*o - q*t, -4*t = 2*o - 2 for o. 1 Suppose 5*r - 115 = -3*j, 5*r - 35 = 2*r + 5*j. Solve 4*f = 12*h - 7*h + 29, 4*h = -r for f. 1 Let c(u) = 6*u + 47. Let r be c(-7). Suppose -3*p - r*w = 15, -3*p + w + 7 - 4 = 0. Solve -5*y + f - 24 = 0, -4*y - 5*f = -p*f + 25 for y. -5 Let r(f) = 66*f + 26. Let s be r(2). Let b = s + -140. Let c = 2 - -3. Solve b = 5*i - c*j - 12, 5*j + 22 = i for i. 2 Suppose -m = 4, -8*c + 10*c - 2*m = 16. Solve 0 = 4*p - c*d - 20, 5*p - 7 = -5*d + 8 for p. 4 Let o(q) = 2*q - 64. Let x be o(32). Suppose 2*l + 5*v - 8*v = 6, x = -l + 5*v - 11. Solve -3*f - a - l = -3, -a = f for f. -3 Let w = -1979 - -1984. Let p be (-21 - 0)*(-3)/9. Let g = -4 + p. Solve 1 = c - g*i + 9, 5*i = w for c. -5 Suppose 10*h - 24*h = -5194. Suppose 30 = -h*s + 377*s. Solve -2*l - s*r - 12 = -0*r, 4*l + 2 = r for l. -1 Let l(t) = 9 - 6 + 2*t - 5. Let m be l(-1). Let j be ((-2)/m)/(8/32). Solve 3*s = 4*s + j, 4*s = 3*a - 20 for a. 4 Suppose 0 = 16*b - 12*b - 24. Suppose 4*d - b*k = -2*k + 36, -3*d + 23 = -4*k. Solve -p = n + 4*n - 26, 2*n = -3*p + d for n. 5 Suppose -123*c + 3*r = -121*c - 74, -r + 27 = c. Solve 0 = -3*t - 28*j + c*j, 0 = 5*j + 5 for t. -1 Let b(p) = -p**2 - 90*p - 1921. Let k be b(-55). Solve -5 = -4*g + 5*v - k, -3*v + 2 = -5*g for g. -1 Let p = -245 - -117. Let x be ((-12)/9)/(p/288). Solve -x*r = -2*z - 3, -3*z = -2*r + r - 6 for z. 3 Let a(d) = 9 + 31 - 7*d - 61. Let l be a(-3). Suppose -2*r + 30 = 4*r. Solve 0*n + 11 = -n + 5*v, l = r*n - 5*v - 5 for n. 4 Let z be ((-4)/3)/(188/(-5358)). Suppose 0 = -9*u + 3*u + 30. Solve 5 = -u*g - 5*a, 5*a - z + 13 = g for g. -5 Let m(g) = 4*g**2 + 6. Let o be m(-4). Let i = 74 - o. Solve -2 = 5*u + c, -i*u + 6*c - 16 = 2*c for u. -1 Suppose -55*k + 53*k + 112 = 0. Let c be -8 - (-13)/(52/k). Solve -3*x + c = 2*v - 6, 2*v + 4*x - 16 = 0 for v. 0 Let b(k) = 2*k - 64. Let s be b(26). Let r be (-1)/s - (-752)/192. Solve -q - 4*q = 4*f + 25, r*q - 2*f - 6 = 0 for q. -1 Let p be (-320)/(-56) - 6 - 46/(-14). Suppose g + 3 = -5*k, -2*k = -g + 4 - 0. Let h = k + 4. Solve 3 = -2*w - 7, -p*w - 18 = -h*y for y. 1 Let w(y) = 4*y**2 + 82*y + 237. Let v be w(-23). Solve c - d - 1 = 0, -v*c - 3*d - 5 = -468*c for c. -1 Let j(h) be the first derivative of h**4/4 - 14*h**3/3 + 13*h**2 - 22*h - 65. Let q be j(12). Solve -4*o = i + 8, 12 = -i - q*i for o. -1 Let z(l) = -23*l - 756. Let x be z(-33). Suppose k = 3*k - 174. Suppose 5*r - m = 128, -x*m - 22 = -4*r + k. Solve -a + t = 6*t - 20, 4*t = a + r for a. -5 Suppose -675 = -133*s + 1985. Solve -3*f = -u + s, -f = -u - 4*f - 10 for u. 5 Suppose 45 = 5*g - 2*k, -746*g + k + 40 = -741*g. Solve 2*v = 5*c - 8*c - g, 4*v = -5*c - 15 for v. -5 Let x be (846/705)/(((-3)/(-32))/(5/4)). Solve -x = -3*a - 4*k, 3 - 11 = 4*a - 2*k for a. 0 Suppose -451*r + 1375 + 880 = 0. Solve -2*v + 9 = -2*o - 7, -2*o - 2 = r*v for o. -6 Suppose 0 = -m - 13 + 18. Suppose -m*h + 0 = -25. Solve -3*o + h*s - 8 = -0*o, -2*o - s = -12 for o. 4 Suppose -14*g - 17 = -31*g. Let a be (4/(-14))/(7/(-49)). Solve -a*f - 3*k + g = -5, -f - 8 = -4*k for f. 0 Let g(m) = 125*m + 1. Let d be g(-1). Let h be 1/(-2
{ "pile_set_name": "DM Mathematics" }
h for t. 4 Let z = -40 + 45. Solve -4*t + z*t = 1 for t. 1 Let o be (-24)/(-9)*(-6)/(-4). Let p be 4/(1/6*o). Let q be 3/9*9 + 1. Solve -4*k = -p*k - q for k. -2 Suppose -3*g + 3*r - 18 = 0, 4*r + 0 - 8 = 0. Let v be 2 + g/((-4)/3). Solve -2*t + v*t - 9 = 0 for t. 3 Let k(g) = g**3 - 9*g**2 + 12*g - 8. Let z be k(8). Suppose -c + z = c. Let v be 4/26 - c/78. Solve 4*p + p + 5 = v for p. -1 Let i(k) = k**3 + k**2 + k + 1. Let d be i(-1). Solve d = -4*m + 15 + 5 for m. 5 Let i be 7 - -8*(1 - 2/4). Suppose 15 = -3*x - 12. Let u = i + x. Solve -3*n - 1 = u for n. -1 Suppose 233 = 5*b + 93. Suppose 4*y - 2*y = -4*a + b, -4*a + 28 = 4*y. Let v be 2/(-4)*(-2 - 4). Solve 5*k + a = -v for k. -2 Suppose 4*a - 92 = -2*l - 2*l, -14 = -l + 2*a. Suppose 3*c + 0*c + 8 = 4*r, 3*c - 12 = 0. Solve r*z + l = z for z. -5 Let p be (1 + -3 + 2)/((-30)/30). Solve -5 = g - p*g for g. -5 Let v(a) = a**2 + 11*a - 16. Let y be v(-13). Solve 0 = -3*h - y + 4 for h. -2 Let b be (-6)/(-8) + 138/(-24). Let i be 5/b*-3*2. Solve m = -i + 3 for m. -3 Let x be 2/9 + (-440)/36. Let r be 0*(-1 + x/(-8)). Solve -q - 2 - 1 = r for q. -3 Suppose -4*b = -16, -7*y + 3*y + 4*b = 0. Let u be y + 0*(-1)/3. Let w(k) = -k**3 - 3*k**2 - k - 3. Let o be w(-3). Solve u*l - 1 + 21 = o for l. -5 Suppose 0*q = 2*q + 18. Let p = -1 - q. Solve p*y - 3*y = 0 for y. 0 Suppose -d - 4*d = 0. Solve -2*s - 3*s = d for s. 0 Suppose 9*z - 7*z - 68 = 0. Let g be 8/(-20) + z/10. Solve -c - 2 = -g for c. 1 Suppose 2*o + 0 - 9 = i, 3*o = 3*i + 12. Let l be 34/3 - i/3. Solve -1 + l = -5*r for r. -2 Let a(i) = i**2 + 3*i + 1. Let l be a(-4). Suppose -3*o = -l + 2. Let p be o + 0 + 0 + 3. Solve -p*j = j for j. 0 Let j = 120 - 104. Solve 2 = -15*b + j*b for b. 2 Let s(h) = -2*h**2 - 18*h - 11. Let l be s(-8). Solve 3*q = -2*q - l for q. -1 Let g = -4 - -11. Let b = 16 + g. Solve 2 = 5*c - b for c. 5 Let j = 153 - 141. Solve -x + j = 3*x for x. 3 Suppose l = -2*l + 9. Solve 0 = -v - l + 2 for v. -1 Let y = -1 + 3. Let b be y/(-6)*12/(-2). Solve b*r = -0*r - 8 for r. -4 Let f(b) = -b + 7. Let y be f(6). Suppose -2*w - 2*t = 2*t + 2, -w = t + y. Let m be w*((-2)/2 - 1). Solve 0 = r - m*r + 1 for r. 1 Let j be -5*((-12)/15)/(-1). Let u be 1 - (-3 - j/2). Solve -4*m + u*m = 0 for m. 0 Let b(g) = -6*g - 3. Let h be b(-7). Suppose h = 5*q + 4*k, 4*k = 2*q - 2 - 8. Solve 3*s + 8 = -q for s. -5 Let h(d) = 9*d**2 + 23*d. Let x(a) = -5*a**2 - 12*a. Let j(p) = 4*h(p) + 7*x(p). Suppose 7*m = 8*m + 8. Let f be j(m). Solve f*z = -z for z. 0 Let d be 6/(-21) + (-4)/(-14). Solve d = -2*a + 7 + 1 for a. 4 Suppose 5*b - b = 0. Suppose -2*f + 20 = -b*f. Suppose -n - t + f = t, -3*t = -6. Solve -2*x + 0 - n = 0 for x. -3 Suppose 0 = -w + 5*o + 24, 0 = -3*w - o - 2*o. Suppose -4*p + 20 = v - 3*v, -2*v - 2 = -p. Solve -w = 2*r - p*r for r. 1 Let q(h) = h**3 - 10*h**2 + 4*h + 3. Let j(g) = g**3 - 11*g**2 + 4*g + 2. Let u(b) = -5*j(b) + 6*q(b). Let d be u(4). Solve c + c - d = 0 for c. 4 Suppose 2 = s + 3. Let n = s - -6. Solve 0 = -4*o - n - 3 for o. -2 Suppose 4 - 7 = -g. Solve 2*r = -11 + g for r. -4 Let q(p) = -2*p - 16. Let m be q(-8). Suppose m = 3*w - 8*w. Solve -5*y - 9 - 16 = w for y. -5 Let b(c) = c. Let t be b(-3). Let d = 4 + t. Solve d = -2*k + 7 for k. 3 Let g be (-1 - -3) + (-2 - -2). Suppose -3*q - 7 = g*c, q - 4 - 7 = -4*c. Suppose 2*p - 15 = -2*y - y, -y + c*p = 9. Solve -z = -y*z - 2 for z. -1 Let i = 1 - -2. Suppose 0*p + i*p = 6. Solve 7*q + 10 = p*q for q. -2 Suppose -o = 3*g + 2 + 1, 5*g = -5. Solve 2*r - 6*r + 4 = o for r. 1 Suppose 3*k - 5 + 2 = 0. Solve k = 2*w - 1 for w. 1 Let k(d) = -d - 3. Let r be k(-6). Let v(m) = m - 8. Let b be v(8). Let l(c) = -c + 3. Let x be l(b). Solve 6*z - r = x*z for z. 1 Suppose 4 = -l + 3*l, 5 = -r + 3*l. Let z = 1 + r. Solve m = -z*m for m. 0 Let d = -26 - -31. Solve d*o = 2*o - 9 for o. -3 Let z = -5 + 9. Let s(d) = -d**3 + 3*d**2 + 5*d. Let o be s(z). Suppose -o*a + 0*a = 0. Solve a = -0*p + 5*p - 25 for p. 5 Let d be (8 - 12) + -2 + 34. Suppose -y - 5*k - 9 = 0, -2*k - d - 46 = -4*y. Solve 2*j - y = -2*j for j. 4 Suppose 4*v - 6 = -2*q, -2*q + 0*q + 6 = -2*v. Let z(k) = -k + 7. Let y be z(v). Solve -y = -4*a + 9 for a. 4 Suppose 2*w = -3*w + 75. Let g(m) = -m**2 + 4*m + 2. Let t be g(4). Solve r + w = -t*r for r. -5 Let w(h) = -h**3 + 2*h**2 + 5*h - 4. Let c be w(3). Solve -c*p = 3*p + 15 for p. -3 Suppose 0 = 5*x + 5*r, -3 = -5*x + 3*r + 13. Suppose -x*i + 5*i = 0. Let h be (1 - 2)*(i + 0). Solve h = -0*o + 4*o for o. 0 Let s(k) = k**2 - 9*k + 1. Let b be s(9). Let l be b/(-4) - (-2)/8. Solve l = -z - z + 10 for z. 5 Let o(z) = -3*z + 39. Let n be o(12). Solve 4 = -n*y + y for y. -2 Let f be 50/13 - (-12)/78. Solve f*r - 6*r = 0 for r. 0 Suppose -2*g + 30 = -0*g - x, 0 = -2*g - 2*x + 30. Suppose -5*h + g = -0*h. Suppose -2*n = 5*b + 32 - 13, 5*b + 34 = h*n. Solve n*j - 4 = -j for j. 1 Suppose -a + 15 = 10. Solve a*c = -25 - 0 for c. -5 Let r be ((-10)/3)/(6/(-9)). Suppose -3*c + 3*x = x + 22, -5 = r*c + 3*x. Let f be (-17)/c - 2/8. Solve -4 = -f*o - 24 for o. -5 Let n be -1*(-8)/(32/60). Solve -n = 4*s + 1 for s. -4 Let q(z) = z**2 - z + 1. Let g be q(-2). Let s be (-6)/(-2) + 119/g. Solve 5*a - s = a for a. 5 Let z(i) be the third derivative of -i**5/60 - i**4/24 + 4*i**3 - 2*i**2. Let w be z(0). Solve 0 = 4*s + 8 - w for s. 4 Let d be 46/8 + 3/(12 + 0). Let h be 1*(-3)/(-6)*0. Solve -2*p = -h*p - d for p. 3 Let b(n) = -2*n. Let t be b(-1). Suppose -9 = -t*g + l + 2*l, 0 = -4*g + 2*l + 6. Suppose 3*k + 6 = g, 5*y - 2*k - 51 = 28. Solve 0*d - y = 3*d for d. -5 Let s be (-54)/7 - (-6)/(-21). Suppose -2*n - 70 = 5*n. Let k = s - n. Solve -2*b = -0 - k for b. 1 Let c(g) = g**2 + 4*g - 3. Let a be c(-6). Suppose 5 = -5*h + 25. Suppose -h*w = -a*w. Solve w = 6*x - 2*x for x. 0 Suppose 0 = 5*x - 2*k - 4, -5*x - k - 1 = 1. Solve 3*w - w + 10 = x for w. -5 Let x(g) = g**2 - 2*g + 3. Let h be x(2). Let i(l) = 138 - 136 + 3*l - 4*l. Let m be i(2). Solve m = h*y + y - 16 for y. 4 Suppose -z + 11 = -2*z. Suppose 0 = -i - 0*i - 7. Let p = i - z. Solve l = -p*l for l. 0 Suppose 0 = 5*w - 0*k + 4*k - 4, -5*w - 2*k = -12. Solve 8 = w*f - 2*f for f. 4 Let s be (-4)/(4 - 0) + 3. Solve -s - 3 = n for n. -5 Let d be 6*(-2)/(-12)*1. Solve 5*t - d = 4*t for t. 1 Suppose 3 = -0*x + x + k, -4*x + 3*k = -19. Solve x*g - 11 + 3 = 0 for g. 2 Let v(h) = h**2 + 5*h - 3. Let o(u) = -u**2 + u - 6. Let l be o(0). Let f be v(l). Solve -4 = f*c + 2 for c. -2 Let t(n) be the second derivative of -n**3/2 - 7*n**2 + 6*n. Let f be t(-6). Let k be (2/(-3))/((-2)/15). Solve -k*y = 6 + f for y. -2 Suppose 0 = -2*h + 10. Solve h*z + 20 = z for z. -5 Suppose 4 = n - 2*g + 3*g, -5*n + 4 = -3*g. Solve n*r + 0*r + 8 = 0 for r. -4 Suppose 0 = 3*v - t - 18, 4*t - 18 = -3*v - t. Let n be (-1)/(-3 - (-17)/v). Solve 0*j - n = 3*j for j. -2 Let q = -193 - -203. Solve -6*m = -q*m + 12 for m. 3 Suppose 10 = u + m, 0 = 4*u - 0*u + 2*m - 36. Solve 0 = -2*b + 4*b - u for b. 4 Suppose -4*d + 30 = -5*a, 0 = 5*d - a - 4*a - 40. Suppose -3*b = -5*x + d, -2*x - b - 4*b = -35. Solve -x*m - 8 = -3 for m. -1 Suppose 5 = 5*v, -2*s + 4*v + 4 = 2. Solve 0*n - s = n for n. -3 Let z(o) = o**2 + 15*o + 2. Let s be z(-15). Solve -8 + 2 = -s*g for g. 3 Let k(y) be the second derivative of -y**5/20 + y**4/12 - y**3/6 + 3*y**2/2 - 5*y. Let d be k(0). Solve -d = -n - 0 for n. 3 Suppose 0 = 4*z + k + k, -z = 3*k. Solve z + 4 = -2*x for x. -2 Let s be 4 - (2/(-8) + 3/(-4)). Solve 4*p + 3 = -s for p. -2 Suppose 5*b - 4*y - 3 = 9, 0 = -4*b - 3*y + 22. Solve -b*w = 10 + 2 for w. -3 Let i(k) = -k - 11. Let f be i(-8). Let s be f + (-2 - -8) + 13. Solve -w = -5*w + s for w. 4 Let g(j) = 2*j**2 + 4*j + 2. Let u be g(-3). Suppose -z + u = 3*z. Solve 3 = -z*b - 5 for b. -4 Let d(s) = s + 11. Let k be 5/((-10)/12) - 1. Let m be d(k). Solve -m*y - y = 0 for y. 0 Let r be 2/(2/(-3))*16/(-12). Suppose v + 20 = 4*f, -v - 14 = -f - 2*f. Solve r*x - x = -f for x. -2 Let t = -10 + 10. Suppose 5*x - 18 - 82 = 0. Solve t*s + x = 4*s for s. 5 Let r(m) = m**3 - 3*m**2 + 4*m - 3. Suppose a + c = -1, 3*a + 2*a - c = 13. Let v be r(a). Solve -i = -2 + v for i. 1 Suppose -4*p + 12 = -4*i - i, -p + 2 = -i. Let n(v) = v**2 + v + 1. Let f be n(i). Solve f = -3*k + 28 for
{ "pile_set_name": "DM Mathematics" }
5. Suppose 0 = -5*k - u + 25, 25 = r*k - 2*k - 2*u. Solve p - k = -o for o. 5 Let r(c) = -c - 2. Let y be r(-2). Suppose -2*v + 33 = -3*h, 0 = -2*v - y*h - h + 29. Solve 0*w = 5*w - v for w. 3 Suppose -2*y = -j + 4, 0*j + 2*j - 5*y = 9. Suppose j*m - 60 = -54. Solve m*z + 3 = 15 for z. 4 Let k be (-12)/(-2) - (2 - 2). Suppose -2*y = -k*y + 12. Let o(l) = -l**3 - 11*l**2 + 11*l - 5. Let c be o(-12). Solve 8 = y*d - c*d for d. -2 Let v(y) = -2*y**3 - 4*y**2 - y - 3. Let l be v(-3). Solve -21*k = -l*k for k. 0 Let p be 46/10 + (17/5 - 4). Solve -p*s - 10 = -6 for s. -1 Let q be 6/(-9) + 22/6. Let r be ((-21)/(-6))/(-7)*(1 + -7). Let w be 1*(12/(1 + r) + 1). Solve q*c + w = -2 for c. -2 Suppose -3*b = -3*i - 3, 4*i = -5*b - 0*i + 23. Suppose -5 = 5*y + 5*s, 4*s - 2 + 10 = -b*y. Suppose y*v - 39 = -7. Solve h - v = 5*h for h. -2 Suppose -x - 9 = -13. Suppose 3*j = 3*m, -5*m = -2*j + x*j. Solve 1 = d - m for d. 1 Let g be (414/(-45) - -10)/(4/10). Solve -10*v + g = -12*v for v. -1 Let z be (-6 + 10 + -5)*-1. Solve -3*p = z + 5 for p. -2 Suppose u - 5*u = 24. Let b be (u/(-9))/(1/9). Suppose 0 = 3*q - 3 - b. Solve -q*i = -0*i - 6 for i. 2 Suppose 35*f + 45 - 220 = 0. Solve -f*v - 26 = -1 for v. -5 Let h(c) = -3*c + 5. Let i be h(-3). Let f be (7/i)/((-2)/(-4)) + 3. Solve f*t = -7 - 1 for t. -2 Let x(k) = -k**3 + k**2 + 1. Let y be x(-2). Let l = -8 + y. Solve 3*t - l = 4*t for t. -5 Let q(r) be the first derivative of r**5/20 + r**4/3 - r**2/2 + 3*r + 1. Let a(l) be the first derivative of q(l). Let z be a(-2). Solve z = -5*d - 8 for d. -3 Suppose -23*p = -13*p - 70. Solve -p*q = -3 - 4 for q. 1 Let w be -1*0*2/2. Let j = w + 3. Let k = 683 + -681. Solve -j*t = k*t for t. 0 Let c(t) = -t + 6*t - 3*t - 4*t + 13. Let r be c(5). Solve r*m = 3 + 3 for m. 2 Let r = -15 + 19. Let w(z) = 4*z**2 - 5*z - 3. Let c(b) = 5*b**2 - 6*b - 4. Let k(p) = r*w(p) - 3*c(p). Let l be k(0). Solve -d + 6*d + 20 = l for d. -4 Let z(b) be the first derivative of -b**3/3 - 5*b**2/2 + 8*b - 5. Let n = -20 + 14. Let h be z(n). Solve -2*p + 3*p + h = 0 for p. -2 Suppose 0 = -2*u + 4*i + 2, u - 2*i = 2*i - 1. Solve 0 = h + u - 1 for h. -2 Let n = -156 - -161. Suppose 2*p = -n*h + 30, 3*h - 2*p = -0*p + 2. Solve 0*d + 20 = -h*d for d. -5 Suppose -3*j - 7 = 5*i - 44, 4*i - 20 = 0. Let y = -2 - j. Let d = 9 + y. Solve d*p - 6 = p for p. 3 Let m(u) = -u**2 + 7*u + 4. Let l be m(7). Suppose l*k - 3*k = 0. Suppose k*q + 5*w + 22 = 2*q, -5*q + 22 = 4*w. Solve -z - q = z for z. -3 Let b be (0/(3 + 1))/(-3). Let k be (-2 - b)/(-2) + 0. Solve -3*d = -4*d + k for d. 1 Let o(t) be the first derivative of -t**2 + t + 5. Let d be o(1). Let k be -4 - d - (-2 - 3). Solve 0 = k*a - 1 + 3 for a. -1 Suppose -7 - 5 = -6*l. Solve -l*w + 4 = -0*w for w. 2 Let b be 40/(-8)*(-1)/(-1). Let w be (-23)/b - (-21)/(-35). Solve 0*l + 4 = -w*l for l. -1 Let k be 1 + 43 - (-14)/7. Suppose 0 = -k*w + 44*w + 32. Solve -w = 7*y - 3*y for y. -4 Let l be ((2 - (-4)/8) + -2)*36. Suppose 2*r + l = i - 2*r, -3*r = 3*i + 6. Solve i*a = a for a. 0 Let q = 1125 + -982. Solve 5*y - 138 + q = 0 for y. -1 Let d be (-1 - 0)*3 - (2 + 1). Let x(v) = -2*v**3 - 12*v**2 - v - 3. Let m be x(d). Solve -2*w - m = -w for w. -3 Let j(z) = 12*z**2 + z + 1. Let f be j(-1). Let k(g) = -2*g. Let r be k(-3). Let y(w) = -w + 6. Let c be y(r). Solve c = o + 2*o + f for o. -4 Let w(h) be the second derivative of -h**5/20 - h**4/4 + 7*h**3/6 - 11*h**2/2 + 14*h. Let z be w(-5). Solve 8*x = z*x - 12 for x. -3 Suppose 0 = 4*w - 7*w + 4*b - 6, 10 = 2*w + 2*b. Suppose -w*t + 0*t + 20 = y, 4*y - 44 = -4*t. Let q be 6 - (3 - (5 - 3)). Solve q*d = t*d for d. 0 Let t be (11 - -1) + 18 + -21. Solve t = 3*n + 6 for n. 1 Let u = 18 + -16. Suppose 2*f + 24 - 2 = 0. Let t be 24/(-132) + (-68)/f. Solve u*z = -0*z - t for z. -3 Let u = 62 - 47. Solve u*h = 17*h + 8 for h. -4 Let u(m) = m**3 + 7*m**2 - 35*m - 181. Let o be u(-8). Solve -61*z + o = -68*z for z. -5 Suppose 0 = 4*w - 24 + 4. Let z = -8 + w. Let q be 4 + z + -3 - -5. Solve -q = -5*d - 8 for d. -1 Let x be (-144)/(-14) + (-2)/7. Let v be (-2)/x + 82/10. Let w = 10 - v. Solve w*p - 1 = 9 for p. 5 Let p(c) = 2*c**2 - 27*c + 16. Let l be p(13). Solve -l = -11*s + 14*s for s. -1 Let c be 392/1372 + 40/7. Solve c*h = -1 + 31 for h. 5 Let c = -22908 + 22915. Suppose 0*m + 4 = 2*m. Solve -1 = -m*t - c for t. -3 Suppose -2*g - 3 = -3*g + 3*q, -2 = 5*g + 2*q. Suppose g*o = -2*o - o. Let v(m) = -m**3 - 5*m**2 - 6*m - 3. Let i be v(-4). Solve o*k + k - i = 0 for k. 5 Let u(i) = i + 23. Let l be u(-20). Solve -6*y - 27 + l = 0 for y. -4 Let z be (-9)/(-2) + (-9)/(-6). Suppose -z*g = t - 2*g, -g = -5*t + 21. Solve -t*y = y for y. 0 Suppose 0*d = -3*d + 126. Let u = -26 + d. Let x be (-2)/(-8) - (-44)/u. Solve 9 - 3 = -x*p for p. -2 Let s = 376 - 373. Solve 0 = -11*q + 10*q - s for q. -3 Suppose -4*h - 32 = -8*h. Let u be (h - 4) + (3 - 5). Suppose 0 = -t - 0*t. Solve -u*y - 3*y - 20 = t for y. -4 Let g = 38 - 36. Let z be (-2)/(g + -2 - (-4)/(-6)). Solve z*b = -0*b + 15 for b. 5 Suppose 0*p = 3*p - 18. Let l be 4/14 - (-2580)/84. Suppose -2*s + 14 = 2*k, 3*k - l = -2*k - 3*s. Solve k*b - p = 8*b for b. -2 Let y be -2 + 4/(4/(-3)). Let q = 0 + y. Let u be -3 - 12/(-4) - q. Solve 0 - u = -w for w. 5 Suppose 14*f = -31 + 129. Solve -1 = 4*j + f for j. -2 Suppose -33 - 2 = 5*l. Let b = -4 - l. Suppose 1 = 7*v - 8*v, 4*v = -p + 1. Solve p + b = -2*y for y. -4 Let b be 4/12 + (-123)/(-9). Let d be (49/b)/((-1)/(-2)). Suppose -5*v + d = -23. Solve g + 5 = v*g for g. 1 Let p = 2248 + -2248. Solve -36*n + 24*n + 12 = p for n. 1 Suppose -3*o + 52 = 25. Solve 2*l + o = 7 for l. -1 Let s(a) = -a - 24. Let d be s(-6). Let w be d/(-5) + 4/10. Solve -3*t - 2 = -w*t for t. 2 Suppose -3*p = 2*m - 87, 3*m - 3*p = 6*m - 138. Solve 55*h + 20 = m*h for h. -5 Let f = -1733 + 1882. Solve 148 - f = a for a. -1 Suppose 0 = 11*h + 22*h - 132. Solve 0*a + h = 2*a for a. 2 Suppose -5 = y + 3. Let k be (-1 - -4)*y/(-3). Solve 3*m + 7 = -k for m. -5 Let u(z) = -z**2 - 10*z. Suppose -w + 2*w = 0, 3*t + 15 = -4*w. Let s be u(t). Solve s = r - 6*r for r. -5 Suppose -10 = -11*m + 34. Solve -5*n + m = -n for n. 1 Suppose -3 = 4*l + 4*y - 11, 0 = 2*y. Solve 4*m = l*m + 2 for m. 1 Suppose -b + 23 = 2*d - 4*b, -5*d - 5*b - 5 = 0. Suppose d*x + 4 + 0 = -3*n, -4*x = 5*n + 12. Solve -x - 8 = 5*u for u. -2 Let a be 0/(-4) - (-19 + -1). Let d be (-395)/15 - 8/12. Let x = 31 + d. Solve -x*s - s + a = 0 for s. 4 Let y = 61 + -57. Suppose f = 2*k + y*f - 8, -k + 4 = 5*f. Solve 0 = i + k*i for i. 0 Suppose 91*p - 326 = -326. Suppose j + 4*j - 15 = 0. Solve p = -j*n + n + 2 for n. 1 Let x be 2/(-4) - (-102)/4. Suppose 0*n + 35 = 3*j + n, -3*j + x = -n. Solve -j = 3*i - i for i. -5 Let u = 321 + -311. Solve 3*z - u = 2 for z. 4 Let s(k) = 2*k**2 + 3*k + 5. Let a be s(-2). Solve -x = -9 + a for x. 2 Suppose 20*d - 113 = 27. Solve d - 15 = 2*o for o. -4 Suppose 0 = -s + 13 - 15. Let r be ((-22)/55)/(s/20). Solve r*w + 11 = 7 for w. -1 Let m be (-3)/((1 - 2)*1). Let g = 172 - 172. Solve g = 4*l - 7*l - m for l. -1 Let c = -47 + 94. Solve c*b + 12 = 51*b for b. 3 Suppose 14 - 44 = -10*u. Solve -2*g = 7 - u for g. -2 Suppose z - 4 = -1. Let l(r) = -r**2 + 10*r. Let i be l(9). Let d = 17 - i. Solve 0 = -d*y + z*y - 20 for y. -4 Let l(b) = -b**3 + 6*b**2 - b - 5. Let y be l(6). Let z = -8 - y. Solve 9 = -z*q - 6 for q. -5 Let f = -1 - -5. Suppose -5*u + h = -15, -2*u - h = f*h - 33. Suppose -u*c + 8 = -8. Solve 0 = c*k - 9 - 7 for k. 4 Let m(o) = 15*o + 48. Let f(b) = -7*b - 24. Let t(x) = 9*f(x) + 4*m(x). Let j be t(-10). Solve -3*h = -6*h - j for h. -2 Suppose 2*c + 3*i = 66 - 18, -i = c - 22. Suppose -10 = 2*y - c. Solve 7*a - y*a = -6 for a. -2 Suppose s + c = 4*s - 389, -374 = -3*s - 2*c. Let r = -124 + s. Solve r*a + 3 = a for a. -1 Let d be 6/(-10) - (-99)/15. Suppose -34*f + 48 = -28*f. Solve 0 = -2*n + d*n - f for n. 2 Let x be (-2)/(-3) - (-42)/18*1. Suppose -z = -5*z - 4*q, 0 = x*z + q - 2. Solve 3*f - 2 - z = 0 for f. 1 Let w(u) = u**2 + 6. Let a be w(0). Solve 38 - a = 8*t for t. 4 Suppose -18*w + 15*w = -60. Solve w = 8*c - 4 for c. 3 Let q(j) = -3*j**3 - 5*j**2 + 5*j + 6. Let y be q(-4). Let t = -96 + y. Let m(n) = n**3 + 3*n**2 - 7*n - 6. Let g b
{ "pile_set_name": "DM Mathematics" }
85. Suppose 0 = 4*o - 286 + f. Is o a composite number? False Is 2 + 795/5*3 prime? True Let d(j) = -18*j - 3. Let p be d(-13). Suppose 5*g - p - 564 = 0. Is g composite? True Let t be -6*(1 + -2)/2. Let v be (-2)/t + 9518/(-6). Is 4/18 - v/27 prime? True Let y(x) = 2*x**2 - 6*x + 7. Is y(4) composite? True Suppose x = -4*c + 2589, 0*x = x - 2*c - 2613. Is x prime? False Suppose 2*x + 5*b = 10, 0*x + 15 = 3*x + 4*b. Suppose 3*w = -f + 38, x*w + 0*f - 64 = -f. Is w composite? False Let u(l) = 12*l. Let m be u(2). Is 16/m*(-726)/(-4) prime? False Let m be (-22)/(-12) - (-2)/12. Suppose -r = 2, 0*q + 5*q - m*r = 609. Is q prime? False Let b be (15/(-2))/(3/(-18)). Suppose 0 = -2*l - 4*c + 10, 5*l + 3*c - b = l. Let p = 21 - l. Is p prime? False Let l(v) = v**2 - 4*v + 3. Let h be l(5). Let w = 6 - h. Is (0 - 1)/(w/74) a composite number? False Let s = 135 + -58. Is s composite? True Suppose -5*x + 431 = -534. Suppose -494 = 4*r + 46. Let f = r + x. Is f composite? True Suppose 2*i - 129 = 17. Let x = 188 - i. Is x a composite number? True Suppose 0 = -0*y + 5*y - 4015. Is y a prime number? False Let j = 3 - -1. Suppose j*u + u = 3*i + 7, -13 = -4*u - 5*i. Suppose 5*t - 490 = -6*z + u*z, 2*t + 2*z = 198. Is t composite? True Suppose 3*t + 8 = -2*p + 19, -19 = -4*p - 3*t. Is p/(-14) - 5916/(-28) a composite number? False Let z = 1 - -1. Let w(d) = 12*d**3 - d**2 + d. Is w(z) composite? True Let x(n) = 25*n**3 - n**2 - 14*n + 7. Is x(4) composite? True Let z be 376/(-6) - (-4)/(-12). Is 94/3*z/(-14) a composite number? True Let y(n) = -15*n**3 + 4*n**2 + 7*n + 7. Is y(-4) composite? True Suppose 2 = -s, -3*p - 2*s - 848 = -7*p. Is p composite? False Suppose 6*s - s = 175. Suppose 0 = 2*c + 3*c - s. Is c a prime number? True Suppose 0 = c - f - 478 - 395, -4*f = -3*c + 2623. Is c composite? True Is 3/(-27) - (-12369)/27 a composite number? True Let n = -1300 - -2661. Is n prime? True Suppose 1059 = r + 2*r. Is r prime? True Suppose -4*p + 20 = 0, 4*r + 2*p + 269 = 7*r. Let n = r - 4. Suppose f + n = 2*f. Is f a composite number? False Let h = 121 + 433. Is h prime? False Let w = 12 - 7. Suppose 159 = g - w*p, 5*g + p - 743 = -0*p. Is g a composite number? False Suppose -20 = 2*s + 5*z - z, 5*s + 34 = -2*z. Let j be (-3)/(s/8) + 0. Suppose j*n + 0*n - 196 = 0. Is n a composite number? True Suppose -12 = -3*q - 0*q. Let z = -6 + q. Let b(j) = -12*j - 1. Is b(z) a prime number? True Let y be -2 + 2*(-1 - -33). Suppose -z = -3*z + y. Is z a prime number? True Let j(c) = -226*c + 11. Is j(-3) composite? True Let o be 2*1*(-615)/(-6). Let a = -116 + o. Is a prime? True Suppose -5*n + 13135 = 4*r, -3*n + r = -8620 + 722. Is n composite? True Suppose -5*r + 666 + 989 = 0. Is r a prime number? True Suppose 4*m - m = 777. Is m a composite number? True Suppose -2*j = 4*o - 507 - 273, 4*o - 392 = -j. Suppose -5*d + 1186 + 1239 = 0. Suppose -2*w = 5*u - d, -u - j = -5*u + 5*w. Is u a composite number? False Let v(m) = 46*m - 15. Is v(7) a composite number? False Let n(d) = d**3 - 4*d**2 + d - 1. Let j be n(4). Is j/(-15) - (-276)/5 prime? False Let v(d) = d**2 + 5*d - 7. Let u be (28/(-8))/(1/2). Let h be 3*u*3/9. Is v(h) a prime number? True Suppose -3*g - 3*r = 24, -5*g = -0*g - r + 28. Is (-388)/g - 4/(-12) prime? False Suppose 2*y - 157 - 3309 = 0. Is y a composite number? False Let j(y) = -5 + 4 - 2*y + 0 + y. Let s be j(-6). Suppose -5*i = n - 498 - 12, s*i - 530 = 3*n. Is i a composite number? False Suppose 0 = -5*z + 151 + 104. Let y = -4 + z. Is y composite? False Let z = 116 + -19. Is z a composite number? False Let s(p) = 35*p**2 - 7*p + 11. Is s(-6) a composite number? True Is (-6)/(-27) - ((-23694)/(-27))/(-2) a composite number? False Suppose 4*y - 739 = 1301. Suppose -4*r - 56 = -5*o - 1072, 2*r - 2*o = y. Is r a composite number? True Let h be (5 + -1)/(8/12). Suppose 2 = -2*p, 5*b = h*b + 3*p - 107. Let v = -63 + b. Is v a composite number? False Let v(b) = b**2 + 4*b - 1. Let d be v(-5). Let m = -6 + d. Is m + 2 - (-36 - 1) a composite number? False Suppose 5*n = n + 1928. Is n a prime number? False Suppose 4*s - 56 = 5*r, 2*r + 48 = 4*s - r. Let n be 2 + 6/s*-6. Is n/(((-12)/(-21))/(-2)) composite? False Let m = 10 + -5. Suppose -m*a + 12 + 1 = b, 0 = a + 2*b - 8. Is a a composite number? False Suppose -4*d - 356 = -6*d. Is d prime? False Let u(h) be the second derivative of h**4/2 - 5*h**2/2 - 3*h. Is u(-4) composite? True Is (157/(-4))/((-2)/8) a composite number? False Let k be (-495)/(-4) - (-1)/4. Suppose -3*q - 86 = k. Is (6/(-15))/(2/q) a prime number? False Suppose 3*r - 5*d = -591, -4*d + 591 = -r - 2*r. Let s = r - -360. Is s composite? False Let b be 4/6 + 1893/9. Suppose -2*z + 4 = -z, u = -5*z + b. Is u a prime number? True Suppose k - 5*c = 93, 3*c + 243 = k + 2*k. Suppose 18 - k = -4*y. Is y a composite number? True Let a = 222 + 71. Is a a composite number? False Let o(x) be the third derivative of -31*x**4/24 - 2*x**3/3 - 2*x**2. Suppose -3*c = -q + 12, 3*q - 3*c = 4*q + 18. Is o(q) composite? False Let f = 439 + -196. Suppose -f = -3*w - 0*w. Let p = w - 58. Is p a composite number? False Let n be (-15)/2*(-112)/12. Suppose -3*s + 10 = -5*q, -5*s - q - 4*q + n = 0. Let b = 21 + s. Is b composite? False Let y be 2 - -1 - (-6 + 4). Suppose u - 3*m + m - 13 = 0, -y*m - 31 = -2*u. Is u a composite number? False Let s(n) = -6*n - 9. Let k be s(9). Is (-959)/k - (-4)/(-18) composite? True Suppose 5*d + 2*g = 2, 0*d + 4*d + 2 = 2*g. Suppose -2*v - 5*x + 243 = d, 0 = -5*v - 3*x + 2*x + 596. Is v prime? False Let g be 0/(-4 + 15/3). Let z be 4/10 + 3086/10. Suppose g = -3*m + 18 + z. Is m composite? False Let y(i) = 11*i**2 + i + 1. Suppose -2*r - 2 = -6. Let w(g) = -43*g**2 - 5*g - 5. Let t(n) = r*w(n) + 9*y(n). Is t(-2) a prime number? True Let x = 1 + 0. Let a = -1 + x. Suppose 3*y - v = -2*v + 74, -y + 3*v + 8 = a. Is y a prime number? True Let b = -1488 - -2677. Is b composite? True Let g = 54 - 3. Is g prime? False Suppose 0 = -2*g - 0*g - 5*f + 3032, 4*g - 6034 = 5*f. Let h = -500 + g. Suppose 77 = -2*u + h. Is u prime? True Is (11*10)/(10/5) a composite number? True Let q be ((-3)/(-3))/((-2)/(-12)). Let c = q - 5. Is (c*-2 + 3)*3 a composite number? False Let a(g) = 2*g - 3. Let i be a(2). Is ((i + 19)*-1)/(-2) a prime number? False Let x be 2*9/4*14. Suppose x = 4*j - j. Is j prime? False Suppose 0 = -0*h - h. Is (2 - h)*(-165)/(-6) a prime number? False Let u(d) = -12*d + 7. Is u(-13) a composite number? False Let z(s) = 3*s**2 - 4*s - 4. Let a = 9 - 14. Is z(a) composite? True Suppose 0 = -d + 4 + 3. Suppose -4*m = y - d*m - 203, 3*y + 4*m - 557 = 0. Is y a composite number? False Let d(n) = n**3 - n + 15. Is d(0) a composite number? True Let b = 100 - 16. Let j = b + -136. Let n = j - -87. Is n a prime number? False Suppose 0 = v - 3*v + 662. Is v a prime number? True Suppose -5*v + 3*d = -2*v - 15, -5*v + 31 = -3*d. Suppose z = -0*z + 5*m + 7, 5*m + 61 = 3*z. Let y = z - v. Is y prime? True Let u(q) = -159*q + 2. Let k be u(-2). Let n = k + -138. Suppose 0 = -3*m + 5*j + n, -m + 174 = 2*m + 3*j. Is m composite? False Suppose 2*x + 3*x + 187 = -2*a, 4*a + 4 = 0. Is 6/(-18)*x*6 composite? True Let w be 4017/9 + 3/(-9). Let m(j) = j - 4. Let p be m(7). Suppose 3*a + 80 = p*x + w, -2*x = 2*a - 240. Is a a composite number? True Suppose b + 4*t - 187 = 0, 0 = -2*t - 2. Is b composite? False Suppose 3 = -3*l, g - 16 = -2*g + 4*l. Suppose 0*w + g*w = 276. Is w composite? True Let r be (1/(-3))/(3/9). Let d(l) = -l**2 - l. Let h be d(r). Suppose -3*m + 26 + 7 = h. Is m prime? True Let n be (103 - -3)/(0 + -1). Let x = n - -161. Is x composite? True Let h = 129 - 37. Suppose -2*j = 2*j - h. Is j a composite number? False Let w(p) = -p + 2. Let v be w(3). Let f = 3 + v. Is f a composite number? False Suppose 1 = 5*j - 2*u, 2*j = 3*u - 5 + 1. Is (-6)/8*-44*j composite? True Let q(g) = 8*g - 1. Let p be q(-3). Let z be (-85)/p + (-2)/5. Suppose 5*b - 265 = -3*c, 0*c = -z*b - c + 159. Is b composite? False Let n = -102 - -187. Suppose 4*j - 287 = n. Is j a composite number? True Let l = 265 + -483. Let k = l + 339. Is k prime? False Let s(z) = -3*z**3 - 15*z**2 - 15*z - 10. Is s(-9) a composite number? False Let c(w) = w**3 + 3*w
{ "pile_set_name": "DM Mathematics" }
Let y(b) = -18*b + 50. Determine y(1). 32 Let i(d) = d**3 + 65*d**2 - 479*d - 9034. Give i(-70). -4 Let o(n) = -n**3 + 9*n**2 + 49*n - 315. Give o(11). -18 Let z(k) = k**2 + 622*k - 14192. What is z(22)? -24 Let j(q) = -2425*q - 26681. Determine j(-11). -6 Let r(s) = -s**3 + 13*s**2 - 41*s + 9. What is r(11)? -200 Let j(h) = -h**2 - 3*h + 15. Determine j(-4). 11 Let d(f) = -2*f**3 + 27*f**2 + 38*f - 312. Determine d(14). 24 Let g(w) = w**2 - 14*w - 12. Give g(-6). 108 Let m(c) = c**3 - 5*c**2 + 155*c - 461. Give m(3). -14 Let v(c) = c**3 - 23*c**2 - 41*c - 92. Calculate v(25). 133 Let o(s) = 66*s + 3355. Calculate o(-51). -11 Let z(q) = -25*q + 434. Give z(18). -16 Let b(i) = 14*i + 447. Determine b(-36). -57 Let j(v) = -v**3 + 84*v**2 - 239*v - 1. Give j(3). 11 Let m(w) = w**2 - 3*w - 39. What is m(10)? 31 Let i(y) = -2*y**3 + 18*y**2 - 71*y - 2. Give i(7). -303 Let a(f) = f**2 + 76*f - 171. Calculate a(-78). -15 Let o(u) = -4*u**2 + 71*u + 670. Give o(-12). -758 Let v(t) = 9*t**3 + 8*t**2 + 17*t + 5. Calculate v(-2). -69 Let p(b) = 2*b**2 + 10*b - 3257. Give p(38). 11 Let i(c) = -c**3 - 11*c**2 + 51*c - 44. What is i(-14)? -170 Let i(u) = 136*u - 407. Give i(3). 1 Let w(q) = 4*q**3 + 110*q**2 - 55*q + 55. Give w(-28). 27 Let i(l) = 1372*l - 5482. What is i(4)? 6 Let c(q) = 18*q**2 - 169*q + 169. What is c(1)? 18 Let d(o) = 4*o**2 - 193*o + 237. Calculate d(47). 2 Let z(r) = -40*r + 1313. Determine z(39). -247 Let a(p) = -4*p**3 + 27*p**2 - 29*p + 106. Determine a(8). -446 Let f(v) = 9*v + 260. Give f(-32). -28 Let g(f) = f**3 - 26*f**2 - 87*f + 875. Give g(28). 7 Let c(d) = -5*d**3 + 58*d**2 - 32*d + 165. Determine c(11). 176 Let k(q) = 123*q + 1265. What is k(-11)? -88 Let x(l) = -208*l + 396. Give x(2). -20 Let s(t) = 20*t**2 - 8*t + 4. Give s(1). 16 Let a(s) = 2*s**2 - 204*s - 20846. Determine a(165). -56 Let k(f) = 144*f - 22. Determine k(0). -22 Let d(p) = -1264*p + 22719. Calculate d(18). -33 Let k(t) = 18359*t - 36718. Calculate k(2). 0 Let d(m) = -93*m - 4273. Give d(-46). 5 Let y(j) = -j**3 - 16*j**2 - 46*j - 29. Calculate y(-14). 223 Let p(h) = 54*h - 199. What is p(5)? 71 Let p(y) = y**3 - 2*y**2 - 70*y - 7. What is p(-7)? 42 Let a(t) = -34*t - 1429. Give a(-42). -1 Let s(d) = 2*d**2 + 122*d + 1079. Determine s(-11). -21 Let j(x) = -287*x - 6607. Calculate j(-23). -6 Let g(n) = -2489*n**2 - 19911*n + 16. Calculate g(-8). 8 Let c(o) = 12*o**3 + 76*o**2 + 8*o + 3. Calculate c(-6). 99 Let c(o) = -3*o**2 + 12*o + 3. Calculate c(9). -132 Let p(k) = k**3 + 25*k**2 + 39*k - 18. Calculate p(-24). -378 Let b(r) = 16*r**2 - 310*r + 39. Determine b(19). -75 Let l(s) = -2*s**3 - 25*s**2 - 130*s - 1073. Determine l(-11). -6 Let f(w) = -45*w - 506. Calculate f(-11). -11 Let m(o) = 11*o**2 - 62*o + 34. Determine m(5). -1 Let s(c) = c**3 + 43*c**2 + 144*c + 2550. Calculate s(-41). 8 Let i(y) = -12*y - 1208. Give i(-100). -8 Let l(u) = -u**3 - 11*u**2 - 7*u + 9. Give l(-6). -129 Let f(h) = -2*h**3 - 2*h**2 + 15*h - 7. Calculate f(4). -107 Let p(c) = -c**2 - 2*c + 17. Calculate p(0). 17 Let w(o) = -1368*o + 21883. Calculate w(16). -5 Let w(n) = n**3 + 106*n**2 - 564*n - 1003. Calculate w(-111). -4 Let p(o) = o**3 + 28*o**2 + 21*o - 10. What is p(-27)? 152 Let u(x) = 751*x - 3008. Calculate u(4). -4 Let b(v) = v**2 - 10*v - 131. What is b(9)? -140 Let r(u) = -259*u - 1764. What is r(-7)? 49 Let c(z) = 12*z**3 + 577*z**2 + 43*z - 169. Calculate c(-48). 71 Let m(f) = -284*f + 290. Give m(1). 6 Let f(q) = q**2 - 42*q + 263. Give f(35). 18 Let x(m) = 12*m + 176. Give x(-18). -40 Let d(w) = -22*w**3 + 9*w**2 + 2*w - 7. Give d(-1). 22 Let f(q) = -5*q**3 - 19*q**2 + 112*q. What is f(5)? -540 Let i(a) = 5*a**2 + 3*a - 65. What is i(-4)? 3 Let v(j) = 773*j - 8650. What is v(11)? -147 Let t(i) = -i**3 - 47*i**2 + 53*i + 237. What is t(-48)? -3 Let i(d) = d**2 + 53*d + 749. What is i(-23)? 59 Let y(c) = 3*c**2 + 56*c + 201. What is y(-5)? -4 Let h(p) = -2*p**3 - 12*p**2 - 15*p - 34. Calculate h(-8). 342 Let b(y) = y**3 - 5*y**2 + 15*y - 2. Determine b(4). 42 Let j(t) = -2*t**3 - 79*t**2 + 54*t + 576. Give j(-40). 16 Let a(d) = -349*d + 390. Give a(1). 41 Let t(a) = 228*a - 122. Calculate t(1). 106 Let v(i) = 4*i**2 - 594*i + 14058. What is v(119)? 16 Let q(j) = -j**3 + 57*j**2 - 241*j - 83. Give q(5). 12 Let l(r) = -2*r**3 - 13*r**2 + 13*r + 57. Calculate l(-6). -57 Let o(u) = 20*u - 81. Calculate o(4). -1 Let t(i) = i**3 - 2*i**2 - 23*i - 28. What is t(0)? -28 Let b(x) = -71*x + 2183. What is b(29)? 124 Let f(o) = -9*o - 3. What is f(28)? -255 Let t(a) = -3*a**3 + 50*a**2 + 35*a - 312. What is t(17)? -6 Let o(g) = 269*g**3 + g**2 + 2*g - 2. Calculate o(1). 270 Let f(m) = -416*m + 1511. Give f(5). -569 Let k(h) = 14*h - 2390. Calculate k(171). 4 Let s(d) = -164*d + 14667. Give s(90). -93 Let l(d) = -4*d**2 + 116*d + 60. Calculate l(29). 60 Let a(z) = 91*z - 2820. Determine a(31). 1 Let c(n) = -10*n**2 - 238*n - 414. What is c(-22)? -18 Let f(j) = -76*j + 5927. Determine f(78). -1 Let k(m) = -m**3 - m**2 - 2*m + 10. Determine k(0). 10 Let d(q) = q**2 - 13*q + 142. Calculate d(20). 282 Let b(c) = 19*c**2 + 74*c. Give b(-4). 8 Let g(k) = -2*k**2 - 222*k - 1670. What is g(-104)? -214 Let r(f) = -50*f - 3651. Determine r(-74). 49 Let o(d) = 3*d**2 + 36*d - 27. Calculate o(-18). 297 Let f(o) = 3*o**2 - 224*o - 6855. Calculate f(98). 5 Let n(x) = x**3 - 32*x**2 - x + 45. Give n(32). 13 Let s(q) = q**3 - 7*q**2 - 124*q + 71. What is s(15)? 11 Let f(y) = y**3 - 26*y**2 + 25*y + 95. Calculate f(25). 95 Let n(m) = 6*m**2 - 124*m + 49. What is n(20)? -31 Let q(w) = -1260*w - 27749. Determine q(-22). -29 Let h(w) = -3*w**3 - 27*w**2 - 7*w - 2. Determine h(-9). 61 Let m(n) = 878*n + 11413. Calculate m(-13). -1 Let d(w) = -w**3 + 4*w**2 - 26*w + 139. Calculate d(5). -16 Let z(c) = 5*c**3 + 9*c**2 + 5*c - 1. Determine z(-4). -197 Let b(c) = -198*c - 5323. Determine b(-27). 23 Let f(o) = 958*o**2 + 1920*o - 2. Give f(-2). -10 Let a(g) = -4*g**3 - 4*g**2 - 13*g - 19. Calculate a(-2). 23 Let p(a) = 1734*a + 29486. Determine p(-17). 8 Let v(p) = -403*p + 2865. Calculate v(7). 44 Let w(c) = -1393*c - 23677. What is w(-17)? 4 Let t(b) = b + 57. Determine t(15). 72 Let t(s) = -13*s - 67. What is t(-6)? 11 Let j(z) = 334*z - 2647. Give j(8). 25 Let p(x) = 56*x - 1288. What is p(23)? 0 Let w(q) = -4*q**3 + 2*q**2 - 4*q - 1. What is w(2)? -33 Let t(w) = -w**2 + 27*w - 51. Calculate t(25). -1 Let c(o) = 5*o**2 + 11*o + 119. Calculate c(-14). 945 Let x(w) = -8*w + 70. Calculate x(6). 22 Let n(a) = -a**3 + 4*a**2 - 2*a - 9. Calculate n(-2). 19 Let p(y) = -86*y + 87. Determine p(2). -85 Let y(n) = -n**3 + 4*n**2 + 6*n - 20. Determine y(3). 7 Let q(f) = f**3 + 20*f**2 + 33*f + 641. Determine q(-20). -19 Let q(d) = 2*d**3 - 127*d**2 - 331*d + 77. Give q(66). 11 Let x(a) = 12*a - 297. Give x(27). 27 Let s(i) = -2026*i + 24315. Calculate s(12). 3 Let v(s) = -27*s**2 - 1395*s - 926. What is v(-51)? -8 Let d(s) = -10*s**2 + 429*s - 5. Give d(43). -48 Let r(v) = 1628*v + 24358. Calculate r(-15). -62 Let h(y) = 266*y + 4263. What is h(-16)? 7 Let s(j) = -33*j + 188. Give s(-6). 386 Let j(h) = 6923*h + 235382. Determine j(-34). 0 Let a(v) = -16*v + 4. Give a(5). -76 Let p(u) = -5*u**2 - 296*u + 241. What is p(-59)? 300 Let h(d) = -28*d + 118. Calculate h(9). -134 Let t(f) = f**3 + 7*f**2 - 122*f + 4. Give t(-15). 34 Let a(s) = 15*s**3 - 2*s**2 - 4*s - 27. What is a(0)? -27 Let d(z) = -z**2 - 789*z - 9321. Give d(-12). 3 Let g(h) = -16*h + 306. Calculate g(-26). 722 Let a(j) = -60*j + 2048. Determine a(34). 8 Let z(h) = 15*h - 319. Calculate z(35). 206 Let r(n) = -139*n + 1390. What is r(10)? 0 Let l(x) = 3*x**2 - 33*x + 31. Give l(19). 487 Let k(z) = 2*z**2 - 69*z + 564. What is k(13)? 5 Let m(a) = -39*a - 2352. Calculate m(-60). -12 Let i(p) = -32*p - 187. Calculate i(-17). 357 Let c(p) = 10*p**2 + 11*p + 19. What is c(-5)? 214 Let f(p) = -24*p + 812. What is f(36)? -52 Let q(f) = -130*f - 4. What is q(0)? -4 Let m(t) = -t**3 - 22*t**2 + 12*t + 322. Determine m(-4). -14 Let w(n) = 36*n**2 + 3*n + 8. What is w(-2)? 146 Let f(s) = 2*s**2 - 62*s + 484. Calculate f(18). 16 Let a(d) = d**3 + 5*d**2 - 2*d - 9. Give a(-5). 1 Let r(t) = -212*t - 23042. Calculate r(-109). 66 Let q(l) = -l**3 - 20*l**
{ "pile_set_name": "DM Mathematics" }
w(k). Find the third derivative of v(o) wrt o. 36 Find the first derivative of -20 + 2*h**3 + 23*h**2 - 45*h**2 + 22*h**2 wrt h. 6*h**2 Let o(j) be the first derivative of 20*j**3/3 + 13*j - 2. Find the first derivative of o(c) wrt c. 40*c Let r be (-6)/(0 - 4/2). Let m be -4*r/(-6) - 2. What is the derivative of 2 + 0*c**2 + 3*c**2 + m*c**2 wrt c? 6*c Let g(c) be the second derivative of 0*c**3 - 1/10*c**5 + c + 0*c**4 + 2*c**2 + 0. What is the derivative of g(i) wrt i? -6*i**2 Let i(s) be the first derivative of -5*s**2 + 0*s**4 + 0*s**3 + 0*s - 2 - 2/5*s**5. What is the second derivative of i(q) wrt q? -24*q**2 Suppose -10 = l + l. Let n(k) = -1. Let s(j) = -4*j**2 + 2. Let o(y) = l*n(y) + s(y). Find the first derivative of o(r) wrt r. -8*r Let p be (4/4)/((-1)/(-3)). Suppose 0 = 2*k + 3*f + 2, 5*k - f - 9 - p = 0. Differentiate -k*h**3 + 1 + 4*h**3 + 0 - 2 with respect to h. 6*h**2 Let g = 7 - 5. What is the third derivative of -w**4 + 2*w**4 + 5*w**2 - g*w**2 wrt w? 24*w Find the second derivative of w**5 + 3*w - 10*w - 5*w**5 wrt w. -80*w**3 Let k = 4 - -5. Suppose -3*i = -6*i + k. What is the second derivative of -u - i*u - u**4 + 2*u wrt u? -12*u**2 Let d = -4 + 9. Suppose -3*q - d = -4*q. What is the third derivative of q*k**2 + 4*k**5 + 2*k**5 - 3*k**5 wrt k? 180*k**2 Suppose 5*l = l + 16. What is the second derivative of -5*i - 3*i**2 + l*i - 3*i + 3*i wrt i? -6 Let i(d) be the third derivative of -2/105*d**7 + 0 + 1/2*d**3 + 0*d + 0*d**5 + 0*d**6 + 2*d**2 + 0*d**4. Differentiate i(j) wrt j. -16*j**3 Let p = -2 - -7. Find the second derivative of -5*d - 2*d**5 + d**2 - d**2 - 5*d**p wrt d. -140*d**3 Let p(a) = 6 + 0*a**3 + 3*a**3 - 2 - 1. Suppose j = -4 - 2. Let w(k) = -3*k**3 - 4. Let z(b) = j*p(b) - 5*w(b). Differentiate z(x) with respect to x. -9*x**2 Let d(z) = -12*z**3 + 2*z**2 - 11. Let s(y) = -48*y**3 + 9*y**2 - 45. Let f(t) = 18*d(t) - 4*s(t). Differentiate f(n) wrt n. -72*n**2 Let o(j) = 3*j**2 - j. Let t(v) = v**2 - 2*v + 1. Let p be t(2). Let c be o(p). Differentiate -3 + z**c + z**2 + z**2 with respect to z. 6*z Let s(h) be the third derivative of -h**7/35 - h**5/20 + 15*h**2. Find the third derivative of s(w) wrt w. -144*w Let r(n) be the third derivative of n**7/70 + n**5/10 - 3*n**2. Find the third derivative of r(z) wrt z. 72*z Let n = -5 + 10. Let l = n - 4. Find the first derivative of 0 - 2 + l - m wrt m. -1 Suppose 0*q = 3*b + 2*q + 39, -b + 4*q = 27. Let g = -10 - b. What is the third derivative of -g*s**2 + 4*s**2 + 6*s**3 - 4*s**3 wrt s? 12 Let x(y) be the first derivative of y**5/5 + 2*y - 3. What is the first derivative of x(f) wrt f? 4*f**3 Let m(g) be the second derivative of -g**7/21 - 13*g**4/4 + 43*g. What is the third derivative of m(w) wrt w? -120*w**2 Find the first derivative of 69*w**2 - 69*w**2 - 5 - 11*w**3 wrt w. -33*w**2 Let q(j) be the third derivative of -7*j**6/40 - 23*j**3/6 - 19*j**2. Differentiate q(r) with respect to r. -63*r**2 Let z(h) be the third derivative of -h**7/42 + 5*h**4/8 + 8*h**2. What is the second derivative of z(d) wrt d? -60*d**2 Let f be (6/(-10))/((-2)/10). Find the third derivative of 2*d**f - 2*d + 25*d**2 + 2*d - 22*d**2 wrt d. 12 Let u(z) be the second derivative of -4*z**6/15 - z**3 - 8*z. Find the second derivative of u(n) wrt n. -96*n**2 Let c be (2/4 - 1)*0. Let y be 5 + 3 - (3 + c). What is the derivative of 1 - 4*a - 2 + y*a wrt a? 1 Let k = 1 + 4. What is the third derivative of -7*n**k + 0*n**2 - 3*n**2 + 4*n**5 wrt n? -180*n**2 Find the second derivative of f**2 + 46*f + 20*f**5 - 24*f + 7*f wrt f. 400*f**3 + 2 Let h = 105 + -105. Let w(m) be the second derivative of 1/10*m**6 + 0*m**5 + 0*m**2 + h*m**3 + 1/3*m**4 + 0 - 2*m. What is the third derivative of w(s) wrt s? 72*s Let r be ((-2)/(-6))/(8/96). Find the third derivative of -42*h - 7*h**4 - r*h**2 + 42*h wrt h. -168*h Let w(a) be the first derivative of 5*a**3 + 11*a**2/2 - 18. What is the second derivative of w(z) wrt z? 30 Suppose -z = -3*z. Suppose 4 = 2*n - 3*k, z = -3*n + 2*k - k + 6. What is the third derivative of 5*f**6 - 4*f**2 - n*f**6 + f**2 wrt f? 360*f**3 Let r(c) be the first derivative of -c**7/105 + c**5/20 + 3*c**2/2 - 1. Let d(p) be the second derivative of r(p). Find the third derivative of d(f) wrt f. -48*f Suppose 2*f + 2*a - 20 = 0, f - 12 - 13 = -4*a. Find the second derivative of -f*h**4 - h + h**4 + h**4 + 5*h**4 wrt h. 24*h**2 Let j(v) be the first derivative of 0*v**5 + 0*v**3 + 0*v + 2 - 1/2*v**6 + 0*v**4 - v**2. What is the second derivative of j(p) wrt p? -60*p**3 Let x(q) be the third derivative of q**7/210 - q**6/72 + q**3/6 - 5*q**2. Let i(k) be the first derivative of x(k). What is the third derivative of i(v) wrt v? 24 Suppose -2*w - w + 3 = 0. Differentiate g**4 + 3*g**4 - 6*g**4 + w with respect to g. -8*g**3 Let m(g) = -g**3 - 2*g**2 - g - 2. Let i be m(-2). Suppose i = -w - 2*w + 6. What is the second derivative of -5*b**2 - 3*b + 3*b**w + 5*b + b**2 wrt b? -2 Find the second derivative of 2*v - v - 8*v**2 - v - 2*v wrt v. -16 Let l(d) be the second derivative of 47*d**3/6 - 19*d**2 + 9*d - 2. Find the first derivative of l(c) wrt c. 47 Let o(f) be the third derivative of -2*f**7/35 + f**3 - 13*f**2. Differentiate o(q) wrt q. -48*q**3 Let u(m) = -14*m**5 + 12*m**2 + 3*m. Let f(q) = -q**2 + q. Let d(s) = -3*f(s) + u(s). Find the third derivative of d(c) wrt c. -840*c**2 Let f(s) be the second derivative of -29*s**5/10 + 11*s**4/12 - 45*s. Find the third derivative of f(m) wrt m. -348 Let z(b) be the second derivative of 0*b**2 - 2*b + 0*b**3 + 0 - 1/6*b**4 - 1/5*b**5. Find the third derivative of z(n) wrt n. -24 Let k(a) = -12*a**4 + 21*a**2 - 3*a. Let i(p) = 13*p**4 - 22*p**2 + 2*p. Let z(r) = 3*i(r) + 2*k(r). What is the third derivative of z(w) wrt w? 360*w Let j(c) = -7*c**4 - 4*c**3 + 4*c**2 - 9. Let y(g) = -g**4 - g**3 + g**2 - 1. Let s(t) = j(t) - 4*y(t). Differentiate s(m) with respect to m. -12*m**3 Let w(x) = -x + 7. Let s be w(8). Let v be (-1)/(2 + s)*-3. What is the first derivative of -u**2 + 2 + v - 4 wrt u? -2*u Let b(d) = 2*d**2 - 7*d + 2. Let g be b(5). Let l = g + -11. Differentiate -u**3 + l*u**3 - 4*u**3 + 0*u**3 + 1 wrt u. 3*u**2 What is the derivative of -58 + 1593*p**2 - 819*p**2 - 826*p**2 wrt p? -104*p Let r be -2 + 5 + (-14)/6. Let t(q) be the first derivative of r*q**3 - 1/2*q**4 + 0*q**2 + 0*q + 3. What is the third derivative of t(k) wrt k? -12 Let v(g) be the third derivative of -5*g**9/504 - g**5/4 + 29*g**2. Find the third derivative of v(t) wrt t. -600*t**3 Let t(z) = 4*z**2 - 23*z + 2. Let r(i) = -8*i**2 + 45*i - 5. Let f(k) = -2*r(k) - 5*t(k). Find the second derivative of f(b) wrt b. -8 Let i(g) be the third derivative of 0*g**3 + 0*g**5 + 1/30*g**6 + 0 + 0*g - 1/12*g**4 - g**2. What is the second derivative of i(d) wrt d? 24*d Let k(s) be the first derivative of s**5/120 - s**4/8 - s**3 - 2. Let c(m) be the third derivative of k(m). Find the first derivative of c(z) wrt z. 1 Let w = -151 + 151. Let u(t) be the second derivative of -1/12*t**4 + 0*t**2 - 1/6*t**3 + 3*t + w. Find the second derivative of u(h) wrt h. -2 Suppose -4*s - 4*m + 4 = 0, -4*s - 2*m + 7 = -1. Let l = 4 - 1. What is the third derivative of -3*f**s + 3*f**l + 3*f**2 + f**3 wrt f? 6 Find the second derivative of -27*y**5 + 54*y**5 + 0*y + 6*y wrt y. 540*y**3 Suppose j + j = 4. Suppose 2*l = -4*i + 32 - 10, -i + 10 = j*l. What is the second derivative of -2*n - 3*n**i + 0*n**4 - n**3 + n**3 wrt n? -36*n**2 Suppose 0 = -5*h - 14 - 16. Let r = h + 13. What is the second derivative of 2*k**4 - 2*k + r*k + k**4 - 2*k wrt k? 36*k**2 Suppose -3*g - 2*g + 5*c + 5 = 0, -g - c + 3 = 0. Find the third derivative of -l**4 + 4*l**4 - 3*l**2 - 2*l**4 + 11*l**g wrt l. 24*l Let g(y) = y**2 - 7*y - 4. Let f be g(8). Let n be f/12*0/(-2). What is the second derivative of m**5 + m + 0*m**5 + n*m wrt m? 20*m**3 Let c(y) be the second derivative of 0*y**5 + 0*y**2 + 6*y + 0*y**3 + 0 + 0*y**6 + 1/56*y**8 + 0*y**7 - 5/12*y**4. What is the third derivative of c(u) wrt u? 120*u**3 Let u(q) = -10*q**3 - 31*q**2 - 2*q. Let y(f) = 19*f**3 + 63*f**2 + 5*f. Let c(o) = -5*u(o) - 2*y(o). Find the third derivative of c(g) wrt g. 72 Let y(r) be the third derivative of -r**8/6720 + r**6
{ "pile_set_name": "DM Mathematics" }
t is w(x)? -3 Suppose -j = -4*f - 16, 4*f - 1 - 3 = -4*j. Let d(w) = w**3 + 3*w**2 + 2. Determine d(f). 2 Let q(m) = -m**2 + m + 5. Let x = -52 + 49. Calculate q(x). -7 Let x(i) be the third derivative of -i**5/20 + 23*i**4/24 - i**3/3 + 13*i**2. Let q(t) = t**2 - 8*t + 1. Let f(m) = 17*q(m) + 6*x(m). Calculate f(5). -10 Suppose -2 = -y - j, -2*y = -2*j + 6*j - 8. Suppose -2*o = -3*c - 9, y = 2*o - 5*c + 2 - 9. Let b(z) = z**2 - 6*z - 2. Give b(o). -2 Let z(m) = m**3 + 10*m**2 - m. Let a(p) be the second derivative of p**3/6 - 9*p**2 + 10*p. Let x be a(8). What is z(x)? 10 Let x(k) = -21*k**2 - 941 + 941. What is x(-1)? -21 Let t(o) = o**2 - 1. Let l be t(-1). Suppose -5*q + 6*q - 5 = l. Let m(i) be the third derivative of -i**6/120 + i**5/12 + i**3 - 2*i**2. Determine m(q). 6 Let k(m) be the first derivative of m**2 + 4*m - 5263. Let d = 0 + 0. Let u = -3 - d. Determine k(u). -2 Let r(a) = 26*a**3 + a**2. Let h(g) = -3*g**3 + 2*g**2 + 6*g - 6. Let u be h(1). Give r(u). -25 Let m(g) = -g**3 + 6*g**2 + 7*g + 8. Let l be m(7). Suppose -4*t + 3*c - 3 = 4, l = -t + 2*c. Let a(q) = q**2 + 2*q - t*q + q + 1. Give a(-3). 7 Let a(j) = j**2 - 6 + 7*j + 5 - 3 + j. Let c be -4 - -1*(-4 - 0). Calculate a(c). -4 Let w(o) be the first derivative of -o**2/2 - 8*o + 58. Calculate w(-3). -5 Let i(l) = -2928*l**3 + 2927*l**3 + 2*l + 1 + 3*l - l - 2*l**2. Suppose -3*d - 1 - 8 = 0. Determine i(d). -2 Let b(d) be the first derivative of -d**4/4 + 2*d**3 + d**2/2 - 3*d + 411. What is b(7)? -45 Let q(a) = 2 + 2 + 3*a - 2. Let n(o) = -5 - 2*o**2 - 2 - 10*o + 22. Let l be n(-6). Give q(l). 11 Let l(a) = -a + 4. Let u(w) = -2*w + 23. Let o be u(8). Suppose -g = -2*q + 3, 2*g + 2*q = -2*q - 22. Let j = g + o. Determine l(j). 4 Let m(v) = -v - 8. Let d be (6 + (-36)/5)/((-2)/(-15)). Give m(d). 1 Let k(z) = -z**2 - 6*z - 7. Suppose 3*q + 5*v + 21 = 0, -q - 6*v = -v + 7. Calculate k(q). -14 Let v(l) = 4*l**2 - 8*l**2 - 5*l**2 + 6*l**2 + 4*l**2 + l + 6. Determine v(5). 36 Let n(j) be the third derivative of 0 - 8*j**2 - 1/60*j**5 + 2/3*j**3 + 0*j - 1/8*j**4. Calculate n(-4). 0 Let q(j) = j**2 - 3*j - 3. Let d be (-2)/(-3)*(-30)/(-4). Determine q(d). 7 Let h = -32 + 37. Let w(g) = g**3 - 5*g**2 - 2*g + 5. Determine w(h). -5 Suppose 0 = 22*i - 8*i - 42. Let q(h) be the first derivative of 3/4*h**4 + i*h - 1/3*h**3 - 3/2*h**2 + 9. Calculate q(2). 17 Let m(s) be the first derivative of s**2 + 14*s + 9. Let t be m(-4). Let k(z) = 2*z - 5. Calculate k(t). 7 Let f(g) = g**2 + 2*g. Let d = 5 - -20. Suppose -m + 4 = 2*m - 4*z, -5 = -3*m + 5*z. Suppose -3*w - a - 2*a - 21 = m, 5*a + d = 0. Determine f(w). 0 Let a(v) be the third derivative of -1/120*v**6 - 3*v**2 + 0*v**4 + 0 - 1/15*v**5 - 1/6*v**3 + 0*v. Calculate a(-3). -10 Suppose 2*i + i + 2 = 4*j, 2*j = i. Let u = 8 - j. Let r(p) = 2 + 10*p**2 - u*p**2 + 0*p + 5*p + 3. What is r(-4)? 1 Let y(t) = 4*t - t - 10*t**2 - 4 + 2 + 12*t**2. Give y(-3). 7 Let n(v) = 5 - v**3 - 18 + 7 - 10*v + 2 - 14*v**2 + 3*v**2. What is n(-9)? -76 Suppose -23 - 25 = -4*t. Suppose 0 = -t*s + 11*s - 5. Let x(w) = -w - 2. Calculate x(s). 3 Let z = 75 + -78. Let l be 0/((-2)/z + 40/30). Let x(b) = b**2 + b + 6. What is x(l)? 6 Let v(m) be the second derivative of -m**4/24 - m**3/2 + 13*m**2/2 + 13*m. Let g(x) be the first derivative of v(x). Give g(-6). 3 Suppose m = -16 - 16. Let d = 26 + m. Let w(l) = l**3 + 5*l**2 - 6*l + 6. What is w(d)? 6 Let u be (-1)/((-2)/4) + 1. Let x(d) = -3*d + 16. Let l(q) = 6*q - 34. Let k(h) = -6*l(h) - 13*x(h). Calculate k(u). 5 Let x be (2/2)/((-1)/(-7)). Let m be (4/(-6) - -1)/((-6)/(-54)). Let f(r) = -r - 7*r**2 + 45 - 44 - r**3 + 2*r**m. Give f(x). -6 Let b(t) be the first derivative of 5/2*t**2 + 2 + 2*t. Determine b(-3). -13 Let d(q) = -q**3 - 11*q**2 - 7 + 3 + 9*q**2. Give d(-3). 5 Let b(x) = 2*x - 4. Let q = -2 + 3. Let f = 51 - 51. Suppose 0 = -3*p + 5*a + 28, -2*a - q - 3 = f. Determine b(p). 8 Let x(u) = 7*u - 7. Let h(c) = 10*c - 10. Let t = -2 - -7. Suppose 0*z + 21 = -3*z. Let o(l) = t*h(l) + z*x(l). Determine o(-2). -3 Let u(m) = -m**2 - m + 1. Let x(i) = -i**2 - 2*i + 1. Let j(r) = 7*u(r) - 4*x(r). Let p(h) be the first derivative of j(h). Determine p(-1). 7 Let t(f) = -f**3 - 7*f**2 - 6*f + 7. Let i(o) = -11*o - 5. Let q be i(0). Calculate t(q). -13 Let q(f) = f**3 - f**2 + f + 12. Suppose -g - i - 7 = -9, -2*i + 4 = -4*g. Determine q(g). 12 Let a(o) = o + 3. Let x = -472 + 472. Give a(x). 3 Let s(a) be the third derivative of -a**5/60 - 7*a**4/24 + 7*a**3/6 + 20*a**2 + 1. Calculate s(-6). 13 Let h(r) = r**3 - 5*r**2 - 6*r - 2. Let f(g) be the first derivative of -g**4/4 + 3*g**2 - 3*g + 2. Let x be f(-3). Give h(x). -2 Let u(w) = w**3 - 6*w**2 + w - 5. Suppose -2*b = -7 - 5. Calculate u(b). 1 Suppose 8*j - 3*j - 45 = 0. Let m be (-2 - 1)/(j/6). Let w(c) = 8*c + 3. Calculate w(m). -13 Let i(h) = -11*h**2 - 13*h - 16. Let g(m) = -5*m**2 - 7*m - 8. Let t(p) = 9*g(p) - 4*i(p). Suppose -2*k = -b + 1, -4*b - k - 3*k = 56. Calculate t(b). 10 Let o(m) = m**3 - 2*m**2 + m - 2. Let b(w) = 21*w**3 - 6*w**2 + 3*w - 6. Let k(j) = -3*b(j) + 9*o(j). What is k(1)? -54 Suppose -3*d + 3*o = -4 - 23, 37 = 3*d - 5*o. Let v(c) = -14*c**2 + 0 + 13*c**2 - 2*c + 2 + 5*c. What is v(d)? -2 Let x(y) be the second derivative of -1/20*y**5 + 1/6*y**3 - 10*y - 5/12*y**4 - 7/2*y**2 + 0. Let c = -34 + 29. Determine x(c). -12 Let y(q) = q**3 + 2*q**2 - 4*q + 4. Let z(h) = 4*h**2 + 2*h**3 + 3*h - 10*h - 2*h + 8. Let t(g) = 5*y(g) - 2*z(g). Suppose 4*x = 4 - 16. Calculate t(x). 1 Suppose 7*j + 3 = 8*j. Let q(k) = j - 4 - 18*k + 0 + 12*k. Calculate q(-2). 11 Let g(a) = 8*a - 12. Let w(m) = 10*m - 13. Let p(y) = 4*g(y) - 3*w(y). Give p(7). 5 Suppose 0 = 2*n + 17 - 3. Let z(p) = p**3 + 10*p**2 - 13*p - 11. Let c(r) = r**3 + 11*r**2 - 14*r - 12. Let y(x) = -4*c(x) + 5*z(x). What is y(n)? 7 Let u be 3*(2 + (4 - 5)). Suppose -w = u*w - 8. Let d(c) = -c**3 + c**2 - c + 1. Calculate d(w). -5 Let a = -2 + 12. Suppose -2*t = a - 26. Suppose -7 = 5*y + t. Let n(g) = -g**2 - g + 2. Determine n(y). -4 Let k(v) = 11*v - 39*v + 13 + 11*v + 4*v + 12*v. Calculate k(-11). 24 Let b(a) = -a**2 + 8*a + 2. Let f = -263 + 273. What is b(f)? -18 Let p(c) be the first derivative of c**3 + c**2/2 + c - 2. Let l(z) be the first derivative of p(z). Let b = -757 + 756. Calculate l(b). -5 Let t(o) = -44*o**2 - o. Let u be (1 + 0)/((-75)/(-15) + -4). Determine t(u). -45 Suppose -4*k + 3*q - 6 = 6, 0 = -3*k - q - 22. Let i(l) be the second derivative of l**4/12 + l**3 - 5*l**2/2 + 13*l. Calculate i(k). -5 Let w(a) = 36*a + 2*a**2 - 7*a**2 - 73*a + 32*a + 5 + a**3. Calculate w(6). 11 Let r(y) = -6*y - y**2 - 9*y**2 + 9*y**2 + y - 1. Suppose -5*b - 19 = 2*m, -2*m + b = 3 + 10. Let l be 37/m + 8/28. Determine r(l). -1 Let k(v) = -3*v**3 + 4*v**2 + 4*v - 1. Let t(l) = -4*l**3 + 4*l**2 + 6*l - 2. Let b(j) = 5*k(j) - 4*t(j). What is b(2)? 19 Let z(v) = 3*v - 18 + 21 - 7*v - 22*v**2 + 0 + v. Determine z(1). -22 Let w(j) = -j + 2. Let h(n) = 5*n + 131. Let u(r) = -r - 26. Let v(p) = 2*h(p) + 11*u(p). Let k be v(-18). Calculate w(k). 8 Suppose -8*d + 283 = 323. Let w(f) = f**3 + 5*f**2 + f - 4. Give w(d). -9 Suppose 0 = 5*l - 18 - 77. Let b(r) = -r - 4. Give b(l). -23 Let m(g) be the third derivative of -1/60*g**5 + 23/6*g**3 - 6*g**2 + 0*g + 1/24*g**4 + 0. Determine m(0). 23 Let r(y) = -11 + 4*y + 3*y**3 - 2*y**3 - 2*y**2 + 5 - 4*y**2. Let g(w) = 4*w**3 - 24*w**2 + 15*w - 24. Let j(d) = 2*g(d) - 9*r(d). Determine j(5). 1 Let b be (-4)/18 + (-4)/(-18). Suppose b = n - 2 - 1. Let w(u) be the first derivative of u**3/3 - 2*u**2 - 4*u - 15. Calculate w(n). -7 Let q(j) = -16*j**3 - 6*j + 11. Let w(r) = r**3 + r - 2. Let t(d) = q(d) + 6*w(d). Determine t(1). -11 Let g(z) = 4*z + 6. Let d(f) = f. Let n(a) = 5*d(a) - g(a). Let q = 38 + -36. Suppose w + q*w - v - 1 = 0, -v = -5*w + 1. Calculate n(w). -6 Suppose 2*x + 3*n + 33 = -24, -4*x - 4*n = 108. Let j = -26 - x. Let r(a) be the first derivative of -2*a**3/3 - 3*a**2/2 - 2*a + 1. Give r(j). -4 Suppose -2*z + 0*z - 28 = -2*h, -2*z - 6 = 0. Let s = -8 + h. Let q(u) = -2*u - u**3 + 3*u + 2 + 8 + u**2 + 2*u**s. Determine q(0). 10 Let c(t) be the second derivative of -t**3/6 + t**2 - 89*t. Determine c(-7). 9 Suppose v + 4 = 0, -3*v - 1
{ "pile_set_name": "DM Mathematics" }
*j**4 - 18*j**3 + 40*j**2 - 24*j. 2*j*(j - 6)*(j - 2)*(j - 1) Determine a so that 2*a**4 + 51*a**3/2 - 205*a**2/2 + 24*a = 0. -16, 0, 1/4, 3 Let 2*u**4 + 6*u**3 - 8*u**2 - 24*u = 0. What is u? -3, -2, 0, 2 Factor -2*t**4/9 - 2*t**3/9 + 8*t**2/9 + 8*t/9. -2*t*(t - 2)*(t + 1)*(t + 2)/9 Find y such that 5*y**5 + 450*y**4 + 12540*y**3 + 101080*y**2 = 0. -38, -14, 0 Factor 3*s**2/5 - 6*s + 27/5. 3*(s - 9)*(s - 1)/5 Find t, given that 4*t**4 + 12*t**3 - 36*t**2 - 92*t - 48 = 0. -4, -1, 3 Find i, given that 2*i**3/17 + 18*i**2/17 + 46*i/17 + 30/17 = 0. -5, -3, -1 Factor 2*w**3 - 426*w**2 - 1730*w - 1302. 2*(w - 217)*(w + 1)*(w + 3) Let -3*x**4 + 66*x**3 = 0. Calculate x. 0, 22 Factor 3*x**3 + 6*x**2 - 165*x - 600. 3*(x - 8)*(x + 5)**2 Solve -22*t**5 + 90*t**4 + 36*t**3 - 268*t**2 - 174*t + 18 = 0. -1, 1/11, 3 What is x in -2*x**2 - 34*x - 60 = 0? -15, -2 Determine r so that -2*r**5/15 + 20*r**4/3 - 1514*r**3/15 + 440*r**2 - 2904*r/5 = 0. 0, 3, 22 Factor 4*c**5 + 12*c**4 - 12*c**3 - 44*c**2 - 24*c. 4*c*(c - 2)*(c + 1)**2*(c + 3) Factor -9*z**3/4 - 13*z**2/4 + 7*z/2 + 2. -(z - 1)*(z + 2)*(9*z + 4)/4 Factor 2*m**5/3 + 2*m**4. 2*m**4*(m + 3)/3 Find g, given that -3*g**5 - 45*g**4 - 27*g**3 + 201*g**2 - 126*g = 0. -14, -3, 0, 1 Factor -4*x**3 - 20*x**2 - 32*x - 16. -4*(x + 1)*(x + 2)**2 Let -z**3/4 - 393*z**2/4 - 51483*z/4 - 2248091/4 = 0. What is z? -131 Factor 4*d**3 - 168*d**2. 4*d**2*(d - 42) Determine w, given that 615*w**4 + 816*w**3 - 1047*w**2 - 420*w + 36 = 0. -2, -2/5, 3/41, 1 Factor -2*m**4/7 - 22*m**3/7 + 1040*m**2/7 - 6200*m/7. -2*m*(m - 10)**2*(m + 31)/7 Find y such that 2*y**5 - 2*y**4 - 18*y**3 - 22*y**2 - 8*y = 0. -1, 0, 4 Factor u**4 - 632*u**3 + 99856*u**2. u**2*(u - 316)**2 Find s such that 2*s**2/3 + 74*s + 436/3 = 0. -109, -2 Find a, given that -6*a**4/5 + 274*a**3/5 - 1612*a**2/3 - 11864*a/15 - 272 = 0. -2/3, 17, 30 Determine t, given that -2*t**2 - 22*t = 0. -11, 0 Factor -3*a**4 + 210*a**3 + 2052*a**2 + 6318*a + 6399. -3*(a - 79)*(a + 3)**3 What is c in -c**5/5 - 44*c**4/5 - 33*c**3 - 202*c**2/5 - 16*c = 0? -40, -2, -1, 0 Suppose -27*n**4/5 - 174*n**3/5 - 203*n**2/5 - 36*n/5 + 4 = 0. Calculate n. -5, -1, -2/3, 2/9 Solve 90*t**5 - 39*t**4 - 432*t**3/5 + 39*t**2 - 18*t/5 = 0. -1, 0, 2/15, 3/10, 1 Find f, given that -3*f**3 + 189*f**2 + 588*f + 396 = 0. -2, -1, 66 Solve 5*c**4/4 - 65*c**3/2 + 210*c**2 + 65*c/2 - 845/4 = 0 for c. -1, 1, 13 Suppose -2*z**2 - 84*z = 0. What is z? -42, 0 Factor q**5/3 - 8*q**4/3 - 3*q**3. q**3*(q - 9)*(q + 1)/3 Let -2*y**4/3 - 35*y**3/2 + 499*y**2/3 - 320*y - 272/3 = 0. Calculate y. -34, -1/4, 4 Suppose 2*f**3/3 - 5582*f**2/9 + 433070*f/3 - 48050 = 0. Calculate f. 1/3, 465 Factor -4*v**3 - 268*v**2 - 524*v - 260. -4*(v + 1)**2*(v + 65) Factor -2*t**5 - 48*t**4 - 330*t**3 - 484*t**2. -2*t**2*(t + 2)*(t + 11)**2 Factor 4*y**5 + 64*y**4 + 284*y**3 + 224*y**2 - 576*y. 4*y*(y - 1)*(y + 4)**2*(y + 9) Find u such that u**4/8 + 37*u**3/8 + 63*u**2 + 376*u + 832 = 0. -13, -8 Suppose -2*r**5 + 92*r**4 + 1054*r**3 + 3616*r**2 + 4448*r + 1792 = 0. What is r? -4, -1, 56 Factor -2*s**3/3 + 4*s**2 - 10*s/3. -2*s*(s - 5)*(s - 1)/3 Factor -3*s**3/5 - 324*s**2/5 - 1557*s/5 - 1236/5. -3*(s + 1)*(s + 4)*(s + 103)/5 Suppose -4*t**2 + 5216*t - 1700416 = 0. Calculate t. 652 Factor -3*j**5 - 15*j**4 - 12*j**3. -3*j**3*(j + 1)*(j + 4) Solve -3*c**2/4 - 2151*c/4 + 2163 = 0 for c. -721, 4 What is l in 27*l**3/5 - 51*l**2/5 - 87*l/5 - 9/5 = 0? -1, -1/9, 3 Suppose -14*o**5/3 + 227*o**4/3 + 1319*o**3/3 + 1807*o**2/3 + 285*o + 42 = 0. What is o? -3, -1, -1/2, -2/7, 21 Let 3*f**5 + 33*f**4 + 93*f**3 - 57*f**2 - 420*f - 300 = 0. What is f? -5, -2, -1, 2 Factor 2*i**2 - 38*i. 2*i*(i - 19) Factor -f**5/5 + 6*f**4/5 - 13*f**3/5 + 12*f**2/5 - 4*f/5. -f*(f - 2)**2*(f - 1)**2/5 Factor f**2/3 - 654*f + 320787. (f - 981)**2/3 Solve 40*w**2 - 525*w = 0 for w. 0, 105/8 Factor -z**4/2 - 205*z**3/2 + 413*z**2/2 - 207*z/2. -z*(z - 1)**2*(z + 207)/2 Factor p**4/6 + 25*p**3/6 + 19*p**2 - 266*p/3 + 196/3. (p - 2)*(p - 1)*(p + 14)**2/6 Factor -3*l**3/8 - 81*l**2/8 - 39*l/4. -3*l*(l + 1)*(l + 26)/8 Suppose 2*i**3/3 - 20*i**2/3 + 6*i = 0. Calculate i. 0, 1, 9 Suppose -45*d**3 - 5340*d**2 - 3545*d - 590 = 0. Calculate d. -118, -1/3 Determine o so that 5*o**2 + 45*o - 110 = 0. -11, 2 Factor -3*r**3 + 3*r**2/2 + 3*r - 3/2. -3*(r - 1)*(r + 1)*(2*r - 1)/2 Factor -16*i**5/9 + 4*i**4/9. -4*i**4*(4*i - 1)/9 Solve -2*p**3/3 + 38*p**2 - 220*p/3 = 0. 0, 2, 55 Let 2*y**4/13 + 2*y**3 + 22*y**2/13 - 2*y - 24/13 = 0. What is y? -12, -1, 1 Suppose 3*k**5 - 12*k**3 - 6*k**2 + 9*k + 6 = 0. What is k? -1, 1, 2 Factor 4*v**4/7 - 16*v**3/7. 4*v**3*(v - 4)/7 Solve m**5/4 + 3*m**4/4 + 3*m**3/4 + m**2/4 = 0 for m. -1, 0 Solve -3*d**4/8 - 4*d**3 + 13*d**2/2 + 6*d = 0 for d. -12, -2/3, 0, 2 Factor 3*u**2 - 207*u + 204. 3*(u - 68)*(u - 1) Let -s**4/5 + 8*s**3/5 - 4*s**2 + 16*s/5 = 0. What is s? 0, 2, 4 Factor 5*k**2 + 43280*k + 93657920. 5*(k + 4328)**2 Solve -3*r**4 - 36*r**3 + 63*r**2 + 276*r - 468 = 0 for r. -13, -3, 2 Factor 2*f**2/9 - 8*f + 72. 2*(f - 18)**2/9 Factor -2*n**2/7 + 1082*n/7 + 1084/7. -2*(n - 542)*(n + 1)/7 Let 12*c**5 - 993*c**4 + 20883*c**3 - 12921*c**2 - 44895*c - 10086 = 0. What is c? -1, -1/4, 2, 41 Let -752720*q**2 - 776*q - 1/5 = 0. Calculate q. -1/1940 Factor 2*t**4 - 4*t**3 - 30*t**2 - 8*t + 40. 2*(t - 5)*(t - 1)*(t + 2)**2 Find u such that u**3 + 1265*u**2 + 399423*u - 400689 = 0. -633, 1 Suppose -8*p**3/3 - 548*p**2/3 + 557*p/2 - 105 = 0. What is p? -70, 3/4 Solve -d**3 - 29*d**2/2 - 4*d + 42 = 0. -14, -2, 3/2 What is c in -25*c**3 - 13565*c**2 + 19030*c - 5440 = 0? -544, 2/5, 1 Suppose -2*v**3/15 + 3826*v**2/15 + 7658*v/15 + 766/3 = 0. Calculate v. -1, 1915 Determine q, given that -5*q**2 - 3790*q + 3795 = 0. -759, 1 Solve 2*s**2/11 + 156*s/11 = 0. -78, 0 Suppose -16*b**4/3 + 72*b**3 + 119*b**2/3 - 33*b + 14/3 = 0. What is b? -1, 1/4, 14 Determine c, given that -3*c**5 - 87*c**4 - 624*c**3 + 696*c**2 + 7728*c - 11760 = 0. -14, -5, 2 Factor -o**2/2 + 1726*o - 1489538. -(o - 1726)**2/2 Suppose v**4/3 + 5*v**3/3 + 3*v**2 + 7*v/3 + 2/3 = 0. Calculate v. -2, -1 Solve 5*j**4 + 10*j**3 - 75*j**2 - 180*j = 0. -3, 0, 4 Factor -2*n**3/7 - 30*n**2/7 + 68*n/7. -2*n*(n - 2)*(n + 17)/7 Solve 9*u**3 + 474*u**2 + 309*u - 156 = 0. -52, -1, 1/3 Find c, given that -10*c**4/7 - 1672*c**3/21 + 562*c**2/3 - 592*c/21 - 232/7 = 0. -58, -1/3, 3/5, 2 Factor 4*z**4 - 256*z**3 - 1068*z**2 - 1352*z - 544. 4*(z - 68)*(z + 1)**2*(z + 2) Factor -x**2 - 39*x + 40. -(x - 1)*(x + 40) Factor 5*j**4 - 10*j**3 - 15*j**2 + 20*j + 20. 5*(j - 2)**2*(j + 1)**2 Suppose 2*a**3/3 + 10*a**2/3 + 2*a - 6 = 0. Calculate a. -3, 1 Find o such that 172*o**4/7 - 524*o**3/7 + 368*o**2/7 - 16*o/7 = 0. 0, 2/43, 1, 2 Factor -2*v**3 + 50*v**2 - 384*v + 936. -2*(v - 13)*(v - 6)**2 Factor -5*c**3 + 370*c**2 - 1075*c + 710. -5*(c - 71)*(c - 2)*(c - 1) Solve -10*q**3/7 + 86*q**2/7 + 6*q - 54/7 = 0. -1, 3/5, 9 Factor 529*r**4/4 + 23*r**3 + r**2. r**2*(23*r + 2)**2/4 Determine i, given that -4*i**4 - 212*i**3 + 1616*i**2 - 3792*i + 2880 = 0. -60, 2, 3 Suppose m**5/5 + 24*m**4/5 + 3*m**3 - 196*m**2/5 - 276*m/5 = 0. Calculate m. -23, -2, 0, 3 Factor -2*t**3/11 - 1814*t**2/11 - 3620*t/11. -2*t*(t + 2)*(t + 905)/11 Factor -3*n**4 - 12*n**3 + 9*n**2 + 30*n - 24. -3*(n - 1)**2*(n + 2)*(n + 4) Factor 3*l**4/2 - 24*l**3 + 177*l**2/2 - 66*l. 3*l*(l - 11)*(l - 4)*(l - 1)/2 Factor 2*y**2/3 - 6*y - 20/3. 2*(y - 10)*(y + 1)/3 Determine q, given that -6*q**5/7 - 36*q**4/7 - 6*q**3/7 + 216*q**2/7 + 120*q/7 - 288/7 = 0. -4, -3, -2, 1, 2 Factor -98*j**2/19 - 21924*j/19 - 1226178/19. -2*(7*j + 783)**2/19 Determine h so that -2*h**2/11 - 36*h/11 + 80/11 = 0. -20, 2 Factor 3*y**2 + 9*y + 6. 3*(y + 1)*(y + 2) Solve d**2/6 - 11*d/6 - 2 = 0. -1, 12 Factor 2*d**3/9 + 4*d**2/9 - 2*d/9 - 4/9. 2*(d - 1)*(d + 1)*(d + 2)/9 Factor -3*k**3 - 160*k**2/3 - 39*k + 34/3. -(k + 1)*(k + 17)*(9*k - 2)/3 Factor -i**5 + 7*i**4 + 25*i**3 - 67*i**2 + 36*i. -i*(i - 9)*(i - 1)**2*(i + 4) Factor 6750*c**3/7 + 29700*c**2/7 + 43560*c/7 + 21296/7. 2*(15*c + 22)**3/7 Suppose -2*u**4/3 - 1024*u**3/3 - 57792*u**2 - 9466880*u/3 + 40707584/3 = 0. What is u? -172, 4 Suppose -135*u**2 + 70*u = 0. What is u? 0, 14/27 Factor 2*j**3/7 + 2*j**2/7 - 60*j/7. 2*j*(j - 5)
{ "pile_set_name": "DM Mathematics" }
at is -1882 times -0.4? 752.8 Multiply 187 and -0.4. -74.8 What is the product of 10.3 and 0.2? 2.06 What is the product of -1762 and 4? -7048 Calculate 1*-39.9. -39.9 What is 0.09 times 4? 0.36 -48 * -74 3552 What is the product of -11 and 9.3? -102.3 Work out 99 * -0.4. -39.6 What is the product of 0.3 and 693? 207.9 -0.045*-2 0.09 -0.4 * 297.7 -119.08 What is 73.3 times 15? 1099.5 What is -0.2 times -19? 3.8 Multiply 0.5 and 0.047. 0.0235 8513*-1 -8513 -0.1 * 252.7 -25.27 What is the product of -772 and -2? 1544 Work out -0.082 * 0.9. -0.0738 Product of 0.7 and 0.009. 0.0063 Calculate 0.09*9. 0.81 What is 1.62 times -4? -6.48 Multiply -2 and 420. -840 Product of 246 and 0.03. 7.38 2*255 510 Work out 4 * -0.051. -0.204 Work out 1 * 959. 959 What is 0.029 times 4? 0.116 Product of -40 and 4. -160 Product of 217 and -7. -1519 Work out -0.2 * 0.28. -0.056 838 * -2 -1676 Work out 1735 * -0.1. -173.5 What is the product of 0.081 and 0.4? 0.0324 55 times -3 -165 293 times -0.14 -41.02 Product of 2 and 92. 184 What is -2.5 times 55? -137.5 Product of 9 and 354. 3186 1.5 * 7 10.5 What is -0.3 times 75.8? -22.74 -3 * -99 297 What is the product of 45 and 0.1? 4.5 -0.156 times -17 2.652 What is the product of 0 and 25? 0 Multiply 3 and -16. -48 Calculate 0*2855. 0 -0.51*0.08 -0.0408 -0.134 times -1.7 0.2278 -2840 times 0.3 -852 Work out 2 * 6.55. 13.1 Multiply 0.9 and 0.119. 0.1071 Work out 5 * 0.176. 0.88 Product of -395 and -7. 2765 Calculate 0.1*0.0864. 0.00864 What is -0.478 times -7? 3.346 -0.2 times -0.01 0.002 Product of 0.1106 and 2. 0.2212 -1381 times 0.3 -414.3 Multiply -4 and 13.1. -52.4 -107 * 0.4 -42.8 Product of 43.32 and -5. -216.6 -0.4 * 9.78 -3.912 Calculate -5*-23.6. 118 Calculate -32*0.01. -0.32 What is the product of 0.02 and -0.03? -0.0006 -1831 times 5 -9155 Multiply -37.146 and 0. 0 Calculate -4*1.001. -4.004 What is the product of 828 and -0.3? -248.4 Multiply 0.2 and 1987. 397.4 Calculate -59*0.5. -29.5 Product of 0.08922 and 5. 0.4461 Work out -4 * 33. -132 -0.0549*0.2 -0.01098 Product of -34 and -44. 1496 What is -0.0982 times 0.04? -0.003928 Calculate 3*0.0902. 0.2706 -2 * -798 1596 What is the product of -10.92 and -5? 54.6 -8 * 1.503 -12.024 2048 * 0.1 204.8 1138 times 0.3 341.4 -1 * -175.3 175.3 Multiply -5 and 186. -930 Product of 1921 and 3. 5763 Calculate -0.206*2. -0.412 What is -1.3 times -4? 5.2 Multiply -42.3 and -0.4. 16.92 -129 times -0.3 38.7 What is the product of 5 and -107? -535 Work out 5 * -143. -715 0.9 times 0.36 0.324 What is the product of 5.9 and -0.29? -1.711 What is the product of 219 and -5.4? -1182.6 Product of 1.63 and 1. 1.63 What is the product of 3 and 803? 2409 What is -0.06 times 0? 0 -35*30.7 -1074.5 What is the product of -58.2 and -4? 232.8 Multiply -4.86 and 0.01. -0.0486 What is -3.634 times 0? 0 -1.46 * 2.3 -3.358 Multiply 1 and 3. 3 -0.05 times 38 -1.9 What is -0.5 times 47? -23.5 -0.07 times -129.1 9.037 19*0.439 8.341 Product of -69 and 19. -1311 Calculate -0.7*135. -94.5 Multiply 0 and -0.0751. 0 5 times 0.01583 0.07915 -0.1 * 0.67 -0.067 Product of -13.8 and -10. 138 0.080041*0.4 0.0320164 33.9*5 169.5 What is -2993 times 5? -14965 What is -37.58 times -0.3? 11.274 Multiply 0 and -16.29. 0 Calculate -0.5*-0.081. 0.0405 83 times -24 -1992 Product of -1527.6 and 1. -1527.6 Product of 0.1 and 0.092. 0.0092 Work out 1 * 0.1061. 0.1061 Product of -0.7 and -15.66. 10.962 Calculate -0.07*2. -0.14 Multiply -0.38 and 174. -66.12 Work out 0.034 * 8. 0.272 0.12 * -15 -1.8 What is the product of 7.3 and 21? 153.3 Multiply 5.5 and -37. -203.5 Product of -10 and 1.8. -18 Calculate 0.017*-0.3. -0.0051 Work out -175 * -1. 175 Multiply 34.38 and -5. -171.9 Multiply -436.4 and 0.5. -218.2 What is -1536 times 5? -7680 What is -0.19 times 122? -23.18 Product of 566 and -0.3. -169.8 353*-0.09 -31.77 What is -0.1 times 13? -1.3 -2.5 * 6 -15 What is the product of 1500 and -0.04? -60 What is the product of -0.201 and -8? 1.608 Calculate 2.248*-5. -11.24 Work out 0.1 * 3775. 377.5 Work out 95 * 0.2. 19 Product of -0.17 and 28. -4.76 Work out -91 * 0.3. -27.3 Multiply 0.9 and 0.2. 0.18 What is -0.044 times -0.1? 0.0044 2125*7 14875 -883 times -2 1766 -3*-0.168 0.504 Calculate 0.069371*0.2. 0.0138742 Work out -10 * -0.0071. 0.071 What is the product of -0.5 and 0.4185? -0.20925 Product of -0.3 and -47.6. 14.28 What is 72 times -0.5? -36 Work out -4 * 0.22. -0.88 What is -0.2 times -10.3? 2.06 What is the product of -0.28 and 0.1? -0.028 What is the product of -0.99 and -1? 0.99 What is -1 times 1.32? -1.32 Calculate 902*-1.8. -1623.6 Multiply -1.585 and -0.1. 0.1585 Calculate 3.4*596. 2026.4 Product of -9 and -53. 477 What is the product of -0.2 and -0.091? 0.0182 33.76 times -0.3 -10.128 Calculate 46.3*-5. -231.5 -0.2 * 0.69 -0.138 What is the product of -4 and -112? 448 Calculate -3372*3. -10116 4 * -215 -860 0.6997 times -3 -2.0991 Product of 105 and -0.4. -42 Calculate 0.1*915. 91.5 What is -17 times -0.18? 3.06 Product of 152 and 0.1. 15.2 Calculate -0.253*-5. 1.265 Product of 0.2 and 29.23. 5.846 What is 1.16 times 116? 134.56 -282*0.1 -28.2 Work out -23 * 141. -3243 Product of 0.009 and -0.3. -0.0027 Work out -3 * 126. -378 Calculate -22*-0.056. 1.232 -54 times 22 -1188 Product of -41 and 2.3. -94.3 0.005 * -0.4 -0.002 -2 times 0.58 -1.16 -1.2 * 0.8 -0.96 Product of 5 and 2215. 11075 What is -0.13 times 235? -30.55 -413 * 3 -1239 What is the product of 0.5 and 45? 22.5 3800 times -0.3 -1140 What is 496 times 0.6? 297.6 Work out 255 * -9. -2295 -394*0.4 -157.6 Calculate 25*-11.6. -290 Calculate 0.43*0.32. 0.1376 3 * 0.08 0.24 Calculate -0.2*-2200. 440 Multiply 1807 and 14. 25298 Work out 4.64 * 0.3. 1.392 What is -1.1 times 11.93? -13.123 What is the product of -2034 and -0.02? 40.68 Product of 0.02 and -0.27. -0.0054 What is -1 times -312? 312 Calculate -0.14*-0.09. 0.0126 Multiply 5 and 0.746. 3.73 -0.02*-28.53 0.5706 Product of 1 and 15.61. 15.61 Work out 25 * -0.06. -1.5 Multiply -0.157 and 0.017. -0.002669 21 * 3.15 66.15 Product of -15 and -0.01. 0.15 Work out 0.3 * 1050. 315 Work out 23 * -5. -115 562*14 7868 Calculate 0.41*-0.04. -0.0164 -13 times 13 -169 What is the product of -33 and -180? 5940 Multiply -0.5 and -19. 9.5 What is -192 times -0.5? 96 -11.05 times -0.01 0.1105 Calculate -0.5*-1.17. 0.585 What is the product of 0 and 0.0384? 0 1.5495 times -0.2 -0.3099 3 * 8.3 24.9 Work out -6 * 1696. -10176 44 times -19 -836 178 times 1.1 195.8 Work out -8 * 0.15. -1.2 What is -14 times -166? 2324 Calculate 12*0. 0 5492 * -0.3 -1647.6 Work out -1 * 112.1. -112.1 What is the product of -0.4 and 0.0315? -0.0126 Product of 41 and 2.8. 114.8 Calculate -0.02*-29. 0.58 Multiply -44 and 0.76. -33.44 -0.3 times -0.11 0.033 What is the product of -0.02 and 34? -0.68 Multiply 0.071 and -0.4. -0.0284 What is the product of 85 and -510? -43350 What is the product of -28 and 4? -112 102 * 36 3672 Calculate -93*8. -744 What is 32.4 times -1? -32.4 Calculate 6.545*-0.5. -3.2725 0.05 * -114 -5.7 Calculate -16*-68. 1088 Multiply 20 and 214. 4280 What is -4752 times -0.5? 2376 Multiply -2145 and -0.1. 214.5 What is 115 times -0.3? -34.5 Calculate 4*26. 104 Calculate 3*134. 402 What is the product of 263.1 and 4? 1052.4 13284 times 0.4 5313.6 -0.035 * 27 -0.945 What is the product of -1 and -0.204? 0.204 Calculate 0.14*0.02. 0.0028 What is the product of -3.4 and 9? -30.6 What is the product of 0.3 and -109? -32.7 Calculate 1453*0.4. 581.2 What is the product of 0.17 and -3.3? -0.561 Multiply -0.5 and -12.54. 6.27 Calculate -0.1*-4.4. 0.44 -4 times 0.01915 -0.0766 Product of 7.18 and -4. -28.72 Work out 13 * -2.3. -29.9 What is the product of 40.1 and -0.4? -16.04 Multiply 2.15 and -1. -2.15 Calculate -31*-0.5. 15.5 0.03*525 15.75 1706.9*-0.1 -170.69 -1*-1785 1785 Product of 1.3 and 14. 18.2 Work out 0.13 * -0.9. -0.117 34*0.3 10.2 Multiply -2733 and -5. 13665 -426 times 4 -1704 Work out 8.4 * -0.06. -0.504 Work out 578 * 0.4. 231.2 0.089 times -4 -0.356 Calculate -0.09*-105. 9.45 12 times 3 36 Multiply 114 and -0.04. -4.56 Calculate -8*-17. 136 Product of -0.6 and -0.0143. 0.00858 What is the product of 0.1 and 0.1? 0.01 -145 * -1 145 What is 0.07 times 0.04? 0.0028 -0.647 times 0.3 -0.1941 0.5*47 23.5 Wha
{ "pile_set_name": "DM Mathematics" }
+ r*w and give r. 1186 Rearrange 10*u**4 - 24*u**4 - 2*u**3 + 2*u**2 + 9*u**4 + 1 + 2*u**4 - 3*u to the form r*u**3 + y*u**2 + w + t*u**4 + h*u and give t. -3 Rearrange 0*l**3 - 4 - 2*l**3 + 4*l**3 - 1 + 2*l**2 + 24 to x*l**3 + w*l + r*l**2 + j and give x. 2 Rearrange (9*q**2 + 126 + q - 126)*(44 + 12 - 2) to the form p + z*q + j*q**2 and give z. 54 Rearrange (-17 - 19 - 9)*(-5 + 0 + 3)*(3 - 3 + p) to j*p + r and give j. 90 Express -6 + 20 + 8*b**2 + 3*b**2 - 11 as h*b + j*b**2 + k and give k. 3 Rearrange 5 - 6*u**2 + u**2 + 7*u**2 + 0 + 4*u - 4*u**2 to the form t*u**2 + z + o*u and give o. 4 Rearrange q - 4*q + q + (2 - 3 - 1)*(2*q + 3*q - 3*q) - 3*q + q + 4*q + 4 - 6 - 4801*q + 1556*q + 2 to the form k + n*q and give k. 0 Express 1488*v + 861 - 861 in the form l*v + a and give l. 1488 Rearrange -50*f**3 + 26*f**3 + f**2 - 6*f**2 + 2*f**2 + f to s*f**2 + b*f + t + v*f**3 and give b. 1 Express 87 - 245 + 79 + 590*r + 79 in the form d + s*r and give s. 590 Rearrange -3*m - 7 + 2 - 1 - 14 to a + d*m and give d. -3 Rearrange (83*o**4 + 27*o**4 + 71*o**4)*(6 - 4 - 1) to g*o**4 + b*o**3 + y*o + x + c*o**2 and give g. 181 Express y**3 - 20*y**2 - 2*y + 43*y**2 + y**3 - 24*y**2 - 3*y**4 as u*y + n + z*y**2 + i*y**4 + j*y**3 and give z. -1 Rearrange -18 + 155*g**3 + 14 + 3 + (0*g**2 + g**2 - 2*g**2)*(2*g - 4*g + 0*g) to the form j + v*g**3 + u*g + y*g**2 and give j. -1 Express (-239*x + 12324 - 12324)*(0 + 0 - 1) as s + o*x and give o. 239 Rearrange ((4 - 2 - 4)*(3 + 1 - 6) + 1 + 4 - 6 - 10 + 5 + 20)*(-2*x**3 + 7*x - 7*x) - x**3 + 2*x**3 - 5*x**3 to u*x**3 + w*x + d*x**2 + j and give u. -40 Express 87 + 157 - 83750*d + 83752*d as j*d + w and give j. 2 Express (-41 - 32 - 29)*(-f + f + 2*f**2) + 6*f**2 - 2*f**2 + f**2 as g*f**2 + c*f + l and give g. -199 Rearrange (0 + 0 + 2*p**2)*(0*p - 3*p - 5*p)*(5 - 1 - 9) to the form h*p + d + b*p**3 + m*p**2 and give b. 80 Express -24*w**2 - 18 - 5 + 27 in the form c*w + a + r*w**2 and give r. -24 Express (-186*g + 7105*g + 104*g)*(0*g + 0*g - 2*g**2) as y + c*g + m*g**2 + s*g**3 and give s. -14046 Express -39*d + 87*d + 199*d as t*d + g and give t. 247 Rearrange (12*g**2 + 18*g**2 + 56*g**2)*(-5*g + g + 2 - 2*g - 2*g**2) to the form n*g + k*g**2 + y*g**3 + w*g**4 + j and give k. 172 Rearrange -7*r**3 + 109 + 16*r**2 - 111 - 12*r**2 + 2*r - 8*r**3 to the form a*r**3 + o + c*r**2 + t*r and give a. -15 Rearrange 9754 - 187*i - 9754 to x + k*i and give k. -187 Express -199*n**2 - 108*n**2 + 58*n**2 as g*n**2 + s + r*n and give g. -249 Rearrange (-3 + 2 + 3)*(-236*f**3 + 474 - 474) - f**3 - f**2 + f**2 to the form z*f**2 + d*f**3 + l*f + x and give l. 0 Rearrange 15*u - 1 - 14*u - 1 + 27*u**2 - 1 to the form q + v*u + h*u**2 and give v. 1 Express -4*c + 9*c**2 + 3*c + c**2 + 5*c**2 as x + i*c**2 + z*c and give z. -1 Express -24*a - 5*a**2 - 20*a - 3*a**3 - 4*a + 31*a + a**2 in the form u*a + b + y*a**3 + d*a**2 and give y. -3 Express (3*r + 0*r - 2*r)*(-284 + 781 - 260)*(3 - 7 + 2) in the form t + v*r and give v. -474 Rearrange (-1 + 1 + 4*d)*(-41 + 130 + 181 - 93 + 106) to the form r + t*d and give t. 1132 Rearrange (-k**4 + 5*k**4 - 5*k**4)*(0 + 1 + 0 + (-92 - 98 + 44)*(-2 - 4 + 4)) to t + d*k + u*k**4 + f*k**2 + o*k**3 and give o. 0 Express (-22 - 22 - 6)*(-1 + 9*h - 10*h - 3*h) in the form z*h + a and give a. 50 Rearrange -97 + 513 - 168*c**2 + 170*c**2 + 50 to the form a + n*c + d*c**2 and give d. 2 Express z + 2*z - z + (2 + 4 - 5)*(z - 3*z + 0*z) + z - z + z - 3 + 3 + z - 3*z + 0*z - 3*z + (3*z + 4 - 4)*(0 - 1 + 2) as b + w*z and give w. -1 Rearrange 27767*t - 27767*t - 1310*t**2 to q*t + o + d*t**2 and give d. -1310 Rearrange (-b + 0*b + 2*b)*(-b + 5*b + b) + (b**2 - 3*b**2 + 4*b**2)*(-3 + 1 - 2) to the form s + f*b**2 + y*b and give f. -3 Rearrange (-2 + b + 2)*(333 - 1123 + 579) + (b + 0*b + 0*b)*(0 - 1 + 3) to the form m + n*b and give n. -209 Rearrange (31*f**2 - 445 + 445)*(-4 + 0 + 7) to the form h + n*f + c*f**2 and give c. 93 Rearrange (-2276*z + 2276*z - 15*z**2)*(0*z**2 + z**2 + z**2 + 5*z) to t*z + k + w*z**4 + i*z**3 + q*z**2 and give i. -75 Express -2*t - 5 + 15 + t + 2*t + 0*t as a*t + i and give i. 10 Express (78*v**2 + 1653*v - 1653*v)*(19*v - v - 3*v) as s*v**2 + o*v + i*v**3 + z and give i. 1170 Express 48*c**2 - 672 + 1341 - 670 in the form n + m*c**2 + w*c and give m. 48 Rearrange 16*d + 165*d**2 + 28*d - 44*d to the form u*d + x + v*d**2 and give u. 0 Express -906*k - 286 + 286 in the form n*k + g and give n. -906 Rearrange -5*i**2 - 2 + 15*i**2 + 6*i**2 - 1 - 7*i**2 - i to the form x*i**2 + g*i + v and give x. 9 Rearrange -3*w**2 + 6*w**2 - w**2 + (5*w - 3*w - w)*(90 - 90 + 39*w) to the form x*w + t*w**2 + n and give t. 41 Express 42*c - 45 + 48*c - 80*c - 2*c**2 + 3*c**2 as b*c + s + i*c**2 and give s. -45 Rearrange (0*i + 0*i - 2*i**2)*(-76*i - 100*i - 48*i + (3 - 1 - 4)*(-2 + 2*i + 2) + 2*i + 0*i + 0*i) to o*i + h*i**3 + n + b*i**2 and give h. 452 Rearrange 29*x**2 + 110820 - 110820 to n*x**2 + t + y*x and give n. 29 Express 3 + 3*p**3 - 1 - 4*p**3 + (p - 3*p + 9*p)*(-72 + 12*p**2 + 72) as t*p**2 + s + z*p + w*p**3 and give s. 2 Rearrange 27 - 25 - r**2 - 36*r + 3*r**2 - 122*r to c*r**2 + n + z*r and give c. 2 Express (4 - 1 - 1)*(-21 + 10 - 48)*(-4*x**2 + 3*x**2 - x**2) in the form y + h*x**2 + l*x and give h. 236 Rearrange -3*r**4 - 8*r**4 + 2*r - 158 - 2*r**3 + 160 to the form g*r + z*r**3 + f*r**4 + y + b*r**2 and give f. -11 Express (-2*z + 0 + 0)*(-1 + 2 + 0 + (4 + 2 - 4)*(-6 + 4 + 3)) + 15 + 7*z - 15 in the form n*z + l and give n. 1 Express 6*w - 2*w - 4*w - 3 - w**2 - 54*w**4 as p*w**3 + r*w**2 + l + u*w**4 + q*w and give l. -3 Rearrange 562 - 744 + 365 + a + 0*a to n + q*a and give q. 1 Express (0*z + 2*z + 0*z)*(-89166*z**2 + 89166*z**2 + 388*z**3) - 4*z**4 + 2*z**4 + 3*z**4 + z**3 as c*z**2 + o*z + b*z**4 + m*z**3 + t and give b. 777 Rearrange (1 + 0 + 1)*(-7332*j + 7407*j - 6 + 2) to the form w + h*j and give h. 150 Express 34*n**2 - 337*n - 2*n**3 + 678*n - 336*n as m*n + b + z*n**2 + h*n**3 and give b. 0 Rearrange (6*g - 7*g - 3*g)*(-39 - 15 + 16) to l + j*g and give j. 152 Rearrange 7 - 602*t**2 - 38*t - 8 + 601*t**2 to o*t + j*t**2 + i and give o. -38 Rearrange -17 + 2*p**3 - 3*p**2 - p + 0*p**3 - 5*p**2 + 2*p + p to the form q + j*p**2 + u*p**3 + c*p and give q. -17 Express 5*u**4 - 4*u**4 - 22*u**2 - u**3 - 2*u + 21*u**2 as p*u + n*u**3 + o*u**4 + v*u**2 + k and give n. -1 Rearrange 3*w**2 + w**2 - 3*w**2 + (3*w - 22 + 22)*(-2*w + 3*w + 2*w) - 5*w**2 - 2*w**2 + 3*w**2 to t*w + g + z*w**2 and give z. 6 Express (-10*w + 1 + 7*w - 39)*(1 + 3 - 3) as z + m*w and give z. -38 Rearrange 53 + o**2 + 2 - 27 to the form d + u*o**2 + h*o and give u. 1 Express 8*o + 38*o**4 - 2*o**2 - 36*o - 1 + 26*o in the form z*o**3 + j*o + s*o**2 + q*o**4 + y and give q. 38 Express (-4*s + s + 2*s)*(4 - 5 + 2) + (1 - 1 - 1)*((2 - 2 + s)*(-4 - 2 + 4) - 164 - 158*s + 164) as t + o*s and give o. 159 Rearrange 14 - 11*g**2 - 16 - 10*g**2 + 3 to q*g + m + r*g**2 and give r. -21 Express (3*k - 4*k + 0*k)*(0 - 1 - 1 + (-2 - 4 + 4)*(0 + 3 - 2) + 3 - 5 + 4 + 2 - 5 + 1 - 4 + 0 + 3 + 60 - 92 - 18) as f + v*k and give v. 55 Rearrange 4*j**4 - 7*j**3 + 3*j**3 - j**4 - j**4 + 9 to i*j + m*j**3 + y + t*j**4 + g*j**2 and give y. 9 Express (-7*t + 0*t + t)*(1 - 1 - 1)*(46*t**2 + 85 - 162 + 78) in the form r*t + b*t**3 + k + o*t**2 and give o. 0 Rearrange (-7 + 0 + 1)*(-2 + 2 + o) + (o - o + o)*(2 + 2 - 3) + 3*o - 3*o + 2*o + o - 1 + 1 to the form z*o + c and give z. -2 Rearrange -o**2 + 0 + o**3 + o + 7*o - 6*o + 7*o**4 + 0 + 2 to the form w + z*o**2 + c*o + m*o**4 + g*o**3 and give z. -1 Rearrange (3*x - 3*x**2 - 4*x**2 + 2*x**2)*(-5*x - 3*x**2 + 3*x**2 + x**2 + (-3*x + 0 + 0)*(-2*x - 2 + 2)) to h*x**2 + d + u*x + y*x**4 + t*x**3 and give t. 46 Rearrange ((4*u + u - 3*u)*(6*u - 4*u - u) + 3*u**2 + u**2 + 4*u**2)*(6*u - 25*u - 48*u) to k + l*u + d*u**3 + w*u**2 and give d. -670 Rearrange -685*b**2 - 102*b**3 + 685*b**2 + (-1 - 1 + 3)*(-54 - 14*b**3 + 54) to r*b + f + o*b**2 + w*b**3 and give w. -116 Express -32*z**4 - 7*z**3 - 38*z - z**2 + 21*z + 66*z**4 - 33*z**4 - z**2 as q*z**4 + f*z + h*z**2 + d + g*z**3 and give g. -7 Express (3 - 2 + 0 + (6 - 3 - 5)*(9 + 0 - 15))*(-1 + 0 + 3*c**2 - 5*c**2) as s
{ "pile_set_name": "DM Mathematics" }
. 7/2165 Divide 491 by 5. 491/5 What is -5 divided by -76? 5/76 Divide -445 by 445. -1 What is -125 divided by 3? -125/3 -302 divided by 2 -151 What is 5175 divided by 23? 225 Calculate -4 divided by -278. 2/139 What is -399 divided by 7? -57 Divide 230 by -1. -230 Divide 43 by -43. -1 263 divided by -6 -263/6 What is -62 divided by -664? 31/332 Calculate 2552 divided by -88. -29 Divide 1 by -720. -1/720 Calculate 5 divided by 557. 5/557 -39 divided by -39 1 Calculate 5 divided by 37. 5/37 Calculate -683 divided by -1. 683 -4 divided by -483 4/483 Divide -15 by -114. 5/38 What is -745 divided by 5? -149 What is -3098 divided by 1? -3098 What is 194 divided by 2? 97 Calculate -7115 divided by 5. -1423 -7 divided by -11 7/11 What is 6 divided by 177? 2/59 -2055 divided by 685 -3 0 divided by 582 0 Divide -242 by 242. -1 Divide -5 by 43. -5/43 What is -19821 divided by -3? 6607 Divide 366 by -6. -61 19 divided by -5 -19/5 Calculate 13335 divided by 2667. 5 What is 575 divided by -115? -5 -15 divided by 123 -5/41 Calculate 3 divided by 134. 3/134 -1 divided by 8 -1/8 What is -1722 divided by -6? 287 Divide 22 by -18. -11/9 Calculate 35 divided by -7. -5 Calculate -255 divided by -3. 85 -24 divided by 68 -6/17 -8 divided by 22 -4/11 Calculate 2802 divided by -4. -1401/2 What is 14 divided by 458? 7/229 Divide -1980 by 4. -495 1 divided by -711 -1/711 Divide 494 by 38. 13 Calculate -18 divided by 90. -1/5 866 divided by -1 -866 -2 divided by 490 -1/245 Divide 780 by -195. -4 Calculate 24 divided by -156. -2/13 82 divided by 6 41/3 134 divided by 2 67 Calculate 8184 divided by 31. 264 Divide -391 by 4. -391/4 20 divided by -3 -20/3 -2520 divided by 30 -84 What is 228 divided by 76? 3 Calculate -126 divided by 2. -63 -106 divided by -2 53 Calculate 905 divided by 181. 5 Divide 41 by -220. -41/220 What is -495 divided by 33? -15 Divide 210 by -42. -5 Calculate -44 divided by 11. -4 31 divided by -1 -31 1193 divided by -6 -1193/6 Divide -52 by -11. 52/11 Calculate 330 divided by 6. 55 -5 divided by 3 -5/3 Divide 1 by -7. -1/7 Calculate 253 divided by 5. 253/5 -19 divided by -19 1 Divide -220 by -5. 44 Divide -26094 by 6. -4349 What is 2 divided by -2? -1 15 divided by 9 5/3 8 divided by -183 -8/183 Divide -1 by -12. 1/12 Divide -120 by 60. -2 Divide -1404 by -6. 234 -5 divided by -642 5/642 -909 divided by 3 -303 What is -199 divided by 5? -199/5 Calculate -3485 divided by -5. 697 -98 divided by -2 49 -536 divided by -2 268 6 divided by 73 6/73 What is -2 divided by -554? 1/277 Calculate 776 divided by -194. -4 What is -45 divided by 45? -1 217 divided by -1 -217 What is 2769 divided by -3? -923 Calculate -17 divided by -66. 17/66 -1 divided by 5 -1/5 Calculate 127 divided by 3. 127/3 What is 12 divided by -25? -12/25 Divide -77 by -17. 77/17 What is -570 divided by -3? 190 Calculate -159 divided by 1. -159 Divide 4179 by 1. 4179 What is -1584 divided by -24? 66 136 divided by 34 4 Calculate -32 divided by -28. 8/7 Calculate 22 divided by 2. 11 What is -11 divided by 50? -11/50 -423 divided by 47 -9 Calculate 1066 divided by -26. -41 Divide 82 by 41. 2 226 divided by -226 -1 20 divided by -1 -20 -2 divided by 31 -2/31 What is -328 divided by 5? -328/5 -1 divided by -536 1/536 -9254 divided by 2 -4627 -1 divided by 52 -1/52 Calculate -159 divided by 5. -159/5 Divide -648 by -9. 72 -26 divided by -2 13 What is 1260 divided by -420? -3 Divide -17 by -6. 17/6 What is -285 divided by -3? 95 Divide -493 by -43. 493/43 5425 divided by -1085 -5 -3 divided by -6 1/2 9 divided by -64 -9/64 Calculate -3325 divided by -475. 7 Calculate -20475 divided by -2. 20475/2 What is -2 divided by -163? 2/163 Calculate 5 divided by 673. 5/673 Calculate -2550 divided by 510. -5 -565 divided by 2 -565/2 Divide -94 by 4. -47/2 Calculate -72 divided by 5. -72/5 Calculate -68 divided by 5. -68/5 What is -80 divided by 2? -40 Calculate -18850 divided by 130. -145 1080 divided by 5 216 What is 372 divided by -124? -3 4 divided by -372 -1/93 -2924 divided by 2 -1462 Calculate 1338 divided by 669. 2 What is -112 divided by -14? 8 What is 6 divided by -5021? -6/5021 Calculate 583 divided by 53. 11 Calculate 4 divided by -111. -4/111 Divide -6100 by -244. 25 What is 2250 divided by -3? -750 -3 divided by 25 -3/25 What is 6 divided by 12? 1/2 2386 divided by -2 -1193 Calculate 56 divided by -1. -56 What is 19 divided by -10? -19/10 What is 6 divided by -41? -6/41 1 divided by -5 -1/5 What is 1656 divided by 69? 24 Divide -288 by 6. -48 Divide -5 by 2910. -1/582 Calculate -3 divided by -30. 1/10 Divide 4 by -836. -1/209 What is 4 divided by -98? -2/49 Divide 12 by 18. 2/3 -2 divided by 27 -2/27 4 divided by 4117 4/4117 Divide 7 by 10. 7/10 61 divided by -37 -61/37 Divide -3 by -106. 3/106 Calculate 58 divided by -1. -58 Calculate 3 divided by -8. -3/8 Divide 61 by -29. -61/29 -76 divided by 19 -4 -1 divided by 43 -1/43 Calculate 338 divided by 169. 2 Calculate 1045 divided by 11. 95 Calculate 3984 divided by -24. -166 -4920 divided by 164 -30 What is 3 divided by -176? -3/176 What is -14 divided by 1? -14 Divide -1170 by -3. 390 Divide 822 by 137. 6 Divide -261 by -7. 261/7 17400 divided by -30 -580 What is 58986 divided by -6? -9831 490 divided by 98 5 Divide 243 by -4. -243/4 What is -259 divided by 7? -37 -335 divided by -1 335 Calculate -40 divided by -2. 20 Divide 5 by 12. 5/12 What is 120 divided by 3? 40 Divide -376 by 1. -376 Calculate -1504 divided by -752. 2 What is 3 divided by -476? -3/476 Divide -540 by 108. -5 What is 4 divided by -1868? -1/467 Calculate -310 divided by 31. -10 What is 47 divided by -72? -47/72 -10 divided by -78 5/39 What is 24167 divided by 143? 169 15546 divided by -6 -2591 -290 divided by 290 -1 Divide -290 by 7. -290/7 8 divided by -55 -8/55 What is 35 divided by -6? -35/6 Divide 3 by -904. -3/904 What is -16 divided by -206? 8/103 Calculate -20 divided by -4. 5 What is -22270 divided by -655? 34 Calculate 448 divided by -28. -16 What is -31 divided by -31? 1 Calculate 93 divided by -4. -93/4 What is -19 divided by 369? -19/369 Divide -336 by 2. -168 Divide 4206 by -6. -701 Calculate -62 divided by 3. -62/3 Divide 420 by -35. -12 -21048 divided by -7016 3 Calculate 5 divided by 1492. 5/1492 Divide 21900 by -6. -3650 -6693 divided by 2231 -3 What is 74 divided by -2? -37 Divide 4116 by 49. 84 -792 divided by -44 18 -18300 divided by -12 1525 3120 divided by -104 -30 Divide -220 by 55. -4 What is -4 divided by 69? -4/69 Calculate 0 divided by 11. 0 Calculate 1 divided by 86. 1/86 39 divided by 23 39/23 Divide -6 by -28. 3/14 Divide -5 by 248. -5/248 Divide -1120 by 112. -10 Calculate -767 divided by -59. 13 Calculate 689 divided by 3. 689/3 -68 divided by 17 -4 Divide -881 by -881. 1 -46 divided by -1 46 What is -68 divided by -16? 17/4 21 divided by 13 21/13 Calculate 4001 divided by 11. 4001/11 -7 divided by 94 -7/94 Divide -4 by -571. 4/571 -7 divided by 23 -7/23 What is 6 divided by 117? 2/39 -194 divided by 99 -194/99 What is -375 divided by 19? -375/19 Calculate 0 divided by -70. 0 What is -470 divided by 2? -235 -1340 divided by -268 5 What is -6 divided by -25? 6/25 Divide -50 by -50. 1 108 divided by 54 2 266 divided by -38 -7 What is -4 divided by 3044? -1/761 1 divided by -1483 -1/1483 What is -4 divided by 49? -4/49 Divide -11 by 25. -11/25 57 divided by -3 -19 -2545 divided by 509 -5 Divide -45 by -8. 45/8 1299 divided by -8 -1299/8 0 divided by -848 0 Calculate -84 divided by -21. 4 Calculate -2653 divided by -379. 7 Calculate -2431 divided by 3. -2431/3 What is 46 divided by 6? 23/3 Divide 10925 by -2185. -5 What is 28616 divided by -7154? -4 Calculate 108 divided by -12. -9 99 divided by 1 99 -1148 divided by -4 287 1 divided by -153 -1/153 What is 3311 divided by -77? -43 Calculate -458 divided by 3. -458/3 6031 divided by -163 -37 Divide -712 by -2. 356 Calculate 39 divided by -39. -1 What is 397 divided by -4? -397/4 Calculate -335 divided by -67. 5 4 divided by -264 -1/66 Calculate -3 divided by -72. 1/24 Divide -4 by -35. 4/35 Calculate -38 divided by 29. -38/29 Divide 4524 by 2. 2262 What is 81 divided by -293? -81/293 -969 divided by -8 969/8 Calculate -210 divided by 14. -15 Calculate -3 divided by -1027. 3/1027 Calculate 76 d
{ "pile_set_name": "DM Mathematics" }
assuming j is positive. j**189 Simplify ((g/g**(-1)*g*g**(1/12)/g*g*g)**(-1/31))**(-9) assuming g is positive. g**(147/124) Simplify ((o/o**(16/9))/(o/((o/o**(-5/7)*o)/o)))/((o*((o/((o**(14/3)/o)/o))/o*o)/o)/(o*o/o**3)) assuming o is positive. o**(38/63) Simplify q**(-1/28)/q**(4/5)*q**(-4/3)*q**(1/10) assuming q is positive. q**(-869/420) Simplify (f*f**3)**(2/37)*((f/f**4)/f)**(-8) assuming f is positive. f**(1192/37) Simplify (b*b**(-1/9))**(3/22)*(b*b**(2/19)/b)/(b/((b**(-19)/b)/b)) assuming b is positive. b**(-13652/627) Simplify ((t/t**8*t)**(9/14))**(-2/51) assuming t is positive. t**(18/119) Simplify w*w**(-2/9)*w*w**(-13)*(w/w**1)**(3/31) assuming w is positive. w**(-101/9) Simplify (((x*x**(-8)*x*x)/x**(-3/22))**(-7/2))**44 assuming x is positive. x**749 Simplify t/(t*t**(-8/7))*t**(10/11)*(t**(-16))**(-43) assuming t is positive. t**(53134/77) Simplify (b*(b/(b*b**(-11/4))*b)/b*b*b**(-5))/(((b**(-13)*b*b)/b)/(((b**(2/47)/b)/b)/b*b*b)) assuming b is positive. b**(2029/188) Simplify t**(-1/6)*t*t**(16/5)*t*t**(-20)*t**(2/29) assuming t is positive. t**(-12961/870) Simplify (((b*b*b*b**0*b)/b)**37*(b**(-2)/b)/b**(-1))**39 assuming b is positive. b**4251 Simplify (((y/y**(1/3))/y)**(2/55)*((y*y**11)/y)/(y*y/(y**2/y)))**(16/5) assuming y is positive. y**(26368/825) Simplify ((w**0*w**6)**(-1))**7 assuming w is positive. w**(-42) Simplify (((u*u**(-1/4)*u)/u*u)/u)**(-46)/(u**5*u*u*u**(-9/5)/u*u) assuming u is positive. u**(-397/10) Simplify (((c*c**6)/c)/(c**(2/33)*c))**(1/5) assuming c is positive. c**(163/165) Simplify o**(-5/3)*(o/(o**(-1/2)*o))/o*(((o*o/((o*o**(2/9))/o))/o)/o)**(-1/11) assuming o is positive. o**(-425/198) Simplify u/(u*u/(u*u*u/(u**26/u)*u))*u**2/u*(u/u**(2/5))**(-47) assuming u is positive. u**(-246/5) Simplify (p**(-2/5))**(-4/27)/(p/p**(2/63)*(p**(-6)/p)/p*p*p*p*p*p*p*p) assuming p is positive. p**(86/945) Simplify (j**20*j)/(j*(j*j**5*j)/j)*((j*(j/j**(1/3))/j)/j)**3 assuming j is positive. j**13 Simplify (u**(-10)*u/(u**19/u))/(u**8/u**(-7)) assuming u is positive. u**(-42) Simplify ((p**(6/11)/(p*p/(p*p*p**(-4))))**(-14))**(-10) assuming p is positive. p**(-5320/11) Simplify (o/o**(-2))**(-4)*(o*o**(-2/11))/o**12 assuming o is positive. o**(-255/11) Simplify (((o**(10/3))**(-45))**23)**(-38) assuming o is positive. o**131100 Simplify (k/k**(-2/11))/k*k**(1/6)*(k**9)**(-1) assuming k is positive. k**(-571/66) Simplify (j**(2/7)/j)**(-10/13)/(j**(-1/11)*j*j/(j*j**(3/8)/j)) assuming j is positive. j**(-7885/8008) Simplify ((j/j**(2/7)*j*j**(4/9)/j)/((j*((j**(1/4)*j)/j)/j)/j)**(1/8))**25 assuming j is positive. j**(63125/2016) Simplify ((z*(z**(-3)*z)/z*z)/z*z**(-1)*z/z**(-1/4)*z**9)**25 assuming z is positive. z**(725/4) Simplify (h**(-5))**(-6)*h**(2/17)*((h**2/h)/h)/h*h assuming h is positive. h**(512/17) Simplify ((b*b/(b/(b**(-1)*b)*b)*b*b*b**(-1/4)*b)**50)**(3/19) assuming b is positive. b**(825/38) Simplify (((r/(r**(-28)*r))/r**(-1/10))**(15/2))**9 assuming r is positive. r**(7587/4) Simplify (b**(-24/5)*b*b)/b**(-4/29)*b**(3/2)/b*b/(((b**(4/27)/b)/b*b)/b) assuming b is positive. b**(5401/7830) Simplify (i**4*i**(-8))/((i**(-3)/i)/(i*i*i**1)) assuming i is positive. i**3 Simplify (b**4)**(8/9)*(b**(-3/7)/b)/b**8 assuming b is positive. b**(-370/63) Simplify (t/(t**(1/4)/t))**1/((t*t**(1/3))/t*(t*t**(-5))/t) assuming t is positive. t**(77/12) Simplify (i**(-18)*i*i**(-1/12)*i)/(i**(-10)/(i*i**(3/2)*i)) assuming i is positive. i**(-31/12) Simplify (a*a**(-2/15))**(-22)*(a/(a**(-14)*a*a))/a**14 assuming a is positive. a**(-301/15) Simplify (((t/(((t*t/(t/t**(2/23)))/t*t*t)/t))/((t**(8/5)*t)/t))/((t*t*t**(-1/3)*t)/t)**(6/29))**(-2/17) assuming t is positive. t**(13552/56695) Simplify ((r*r**(-2/41))/(r*r**(-1/9)*r))**(4/5) assuming r is positive. r**(-1384/1845) Simplify f**(-4/9)/f**(-1/23)*(f*(f**(-10/3)/f*f)/f)/f**(-33) assuming f is positive. f**(6058/207) Simplify ((u*u**(-28)*u)/u**(-25/6))**(-19) assuming u is positive. u**(2489/6) Simplify ((n*n**(2/5)*n)/n**(-3/4)*n/n**4*n**0*n)**21 assuming n is positive. n**(483/20) Simplify ((j*j/j**(-1))/((j*j**(-3/7)/j)/j))/(j*j**(1/6))**(-2/65) assuming j is positive. j**(6094/1365) Simplify (c*c**(-3/7)*c**(2/7)*(c**(1/2))**(24/5))**32 assuming c is positive. c**(3648/35) Simplify (o**4*(o/(o**(-7/2)*o*o))/o)/(o/o**(-7))**43 assuming o is positive. o**(-677/2) Simplify (j*j**(-1/14)*j*j**(4/7))/((j**(-12)/j)/j**(1/26)) assuming j is positive. j**(202/13) Simplify c**(-22)/(c/((c/c**15)/c))*(c/(c/(c**(-4)/c)))**(-8/11) assuming c is positive. c**(-378/11) Simplify ((i/(i*(i/(i*i*i*i*i*i/i**(2/19)*i))/i))/(i/i**(-2/11)*i)*i**1*i**(2/5))**(2/21) assuming i is positive. i**(12776/21945) Simplify ((x*x**(-17)*x)/(x**(5/7)*x))/(x/(x*x*x/x**3*x)*x**(-1/16)) assuming x is positive. x**(-1865/112) Simplify ((l**23*l)**(-30))**(3/17) assuming l is positive. l**(-2160/17) Simplify (j**(-9)*j**(-3/4))**(1/9) assuming j is positive. j**(-13/12) Simplify ((x**(1/2))**(-45)*x**(-1/3)/x**(2/19))**31 assuming x is positive. x**(-81065/114) Simplify (q**11*((q**16/q)/q)/q*q)/(q/(q*q**(-2/3)*q*q*q*q))**(-5/6) assuming q is positive. q**(200/9) Simplify v/(v/v**(-2/27))*v*v**(-2/7)/v*v*(v*v**(-2/5))**(-2) assuming v is positive. v**(-529/945) Simplify (((x**3/x)**12)**(26/7))**(-6/11) assuming x is positive. x**(-3744/77) Simplify s**2*s*s**(-3/7)*((s*s**(1/4)/s*s)/s*s)**48 assuming s is positive. s**(438/7) Simplify (s/s**38*s/(s**(1/9)/s*s))**(19/2) assuming s is positive. s**(-6175/18) Simplify (g*g*g**1*g)/g**(3/4)*g**(-10/7)/((g/g**(-2)*g)/g) assuming g is positive. g**(-33/28) Simplify (z**20*z)/(z*z*z*(z*z/(z**(7/5)*z))/z)*((z**26/z)/z)/z*z*z*(z*z/(z/z**(23/2)*z)*z*z)/z assuming z is positive. z**(569/10) Simplify (g/(g/(g/(g*g*g**3*g)))*g)**39*(g*g**(2/39))/g**(-2/71) assuming g is positive. g**(-428975/2769) Simplify ((l**0)**40/(l**(-1/6)*l*l**(-3/7)))**26 assuming l is positive. l**(-221/21) Simplify (((k*k**(-10))**(-2/23))**11)**(-34) assuming k is positive. k**(-6732/23) Simplify (l**(-3))**(-1/3)/(l**(2/5)/l**(-10)) assuming l is positive. l**(-47/5) Simplify (c/(c/(c*(c*c/c**(5/14))/c)))/c**(-18)*(c**(-10))**(-23) assuming c is positive. c**(3495/14) Simplify t**(-11)/((t/(t**(-1/37)*t))/t)*t**(-19)*t**(-18)*t assuming t is positive. t**(-1703/37) Simplify (((f*f**(-2))**(-34))**(-34))**(-2/95) assuming f is positive. f**(2312/95) Simplify (f*f**(-7/2))/f*f*f**(-3)*(f**(2/17)/f*f)**(-13/6) assuming f is positive. f**(-587/102) Simplify ((((z/(z/(z**43/z)*z))/z)/z)/z**(-7/2))**50 assuming z is positive. z**2125 Simplify ((s*s**(4/7)*s*s**(-1/2))/((s*s*s*s*(s/((s/(s*s*s**(-2/3))*s*s*s)/s))/s*s)/((s**(4/5)/s)/s)))**16 assuming s is positive. s**(-4136/105) Simplify (t/(t**(4/3)*t))**28*t**30*((t**(-19/2)*t)/t)/t*t assuming t is positive. t**(-101/6) Simplify v/((v/(v**(5/6)*v))/v)*v/(v*v**(4/5))*v*v**(1/10)*v*v/v**1 assuming v is positive. v**(62/15) Simplify (h/(h*h*h/h**5*h))/h*h*h/h**(11/3)*h**9*(h/(h**(-8)/h*h)*h)/h assuming h is positive. h**(52/3) Simplify ((p/(p/p**(-2/21))*p*p)/(p*p*p/(p/(p/(p/p**20)))))/(p**5)**(2/33) assuming p is positive. p**(-4712/231) Simplify (((o*o**19)/o)/(o**(1/16)/o))/(o*o*o/(o*(o**(-15)/o)/o)*o**(-3/5)) assuming o is positive. o**(123/80) Simplify (y/(y**(-1/23)/y))/y**(-5/4)*y*y**14*y*y*y/(y**(-22)/y) assuming y is positive. y**(4075/92) Simplify ((a*a**(-1))/a*a)**(-11/4)/(a**(-1/6)/a**(-2/15)) assuming a is positive. a**(1/30) Simplify l/l**(2/15)*l**4*l**(-3/5)/l**(-11) assuming l is positive. l**(229/15) Simplify ((((k**(-5)*k)/k)/k*k)/k**(2/23))/((k/((k*k/k**12)/k))/((k**9/k)/k*k)) assuming k is positive. k**(-209/23) Simplify ((g/(g*g**20))/(g/(((g*g**(1/5))/g)/g)))/(g**(-10/3)*g*g**(5/3)*g) assuming g is positive. g**(-332/15) Simplify ((t/(t/((t/(t**12*t)*t)/t)))/((t*t**(1/9))/t))/(t**(-4))**(6/7) assuming t is positive. t**(-547/63) Simplify n**(4/5)/n**(-3/10)*(n/n**(2/15))**(1/8) assuming n is positive. n**(29/24) Simplify (p**(2/3)/p**(13/5))**(-3/14) assuming p is positive. p**(29/70) Simplify x**(-16)*x**(-15)*(x*(x**(1/3)/x*x)/x)/(x**(-2/33)*x) assuming x is positive. x**(-1043/33) Simplify ((m/(m*(m/m**1)/m))**31/(m**(-1/2))**(-24/11))**37 assuming m is positive. m**(12173/11) Simplify (z**(-10))**(-1/25)*(z*z*
{ "pile_set_name": "DM Mathematics" }
. What is the derivative of o(b) wrt b? 24*b**3 Let u(q) be the first derivative of 0*q**3 + 35/2*q**2 + 8/3*q**6 + 0*q**5 + 0*q**4 + 0*q - 23. Find the second derivative of u(o) wrt o. 320*o**3 Let q(g) be the first derivative of 509*g**6/6 - 9*g**2/2 - 31*g + 432. What is the second derivative of q(w) wrt w? 10180*w**3 Let k(p) = -p**3 + 4*p**2 - 2*p + 5. Let a be k(3). Find the first derivative of a + 6*x**3 - 3*x**3 + 3 - 8*x**3 wrt x. -15*x**2 Suppose -5*x + 3 + 27 = 0. What is the derivative of -7*n + 20*n - 11 - x wrt n? 13 Let a(l) = 2*l**3 + 14*l**2 - 8*l - 210. Let x(c) = -c**3 - 7*c**2 + 5*c + 105. Let f(i) = 4*a(i) + 7*x(i). Find the second derivative of f(y) wrt y. 6*y + 14 Let g = 64 + -62. Find the second derivative of w - 17*w - 11*w**4 - g*w - 4*w wrt w. -132*w**2 Suppose 6*s = 2*w + 4*s, -4*s = 0. Suppose x + x = 12. Find the third derivative of 11*o**2 - o**x + 6*o**6 + w*o**6 wrt o. 600*o**3 Suppose 0 = 2*s - 4. Suppose d = -3*u + 5*d - 10, 12 = 2*u + s*d. Find the third derivative of -7*q**4 - 2*q**2 + 4*q**2 - 5*q**2 + u*q**4 wrt q. -120*q Let b(w) be the second derivative of w**7/21 + 9*w**6/10 - w**4/4 + 5*w**2/2 + 170*w + 1. What is the third derivative of b(r) wrt r? 120*r**2 + 648*r Find the third derivative of 296*m**2 - 589*m**2 - 59*m**5 + 2*m + 301*m**2 wrt m. -3540*m**2 Let x = -8 - -12. What is the second derivative of -74*s**3 + 77*s**3 - s - x*s wrt s? 18*s Let b(i) = -4*i**3 + 2*i**2 + i. Let d be b(-1). Let s = 0 + d. What is the second derivative of -k**5 + k**5 - k + 8*k**s wrt k? 160*k**3 What is the second derivative of 16*q**2 + 5*q**2 + q**4 - 455*q**3 + 455*q**3 + 20*q wrt q? 12*q**2 + 42 What is the third derivative of -13*a - 10*a + 19*a + 85*a**5 - a**2 + 33*a**5 - 4*a**2 wrt a? 7080*a**2 What is the second derivative of -217*v**3 + 21*v**2 - 111*v + 1 + 430*v**3 - 214*v**3 wrt v? -6*v + 42 Let f(x) = x**3 - 9*x**2 - x + 12. Let q be f(9). What is the derivative of 4*l**3 - 2*l**q - 4*l**3 - 3*l**3 - 16 wrt l? -15*l**2 What is the third derivative of 9*h + 86*h**4 - 4*h**5 + 67*h**4 - h**2 + 5*h**5 - 44*h - 13*h**4 wrt h? 60*h**2 + 3360*h Suppose 6*h = -28 + 76. What is the third derivative of -19*t**4 + 16*t**2 + 18*t**2 - h*t**2 wrt t? -456*t Suppose 0 = -7*a + 2*a + 10. Find the second derivative of x**a + 13*x - 7*x + 8*x wrt x. 2 Let w(c) = 6 + 10 + 15 + 12*c + 8*c. Let l(n) = 1. Let p(z) = -6*l(z) - w(z). Differentiate p(f) wrt f. -20 Let k(y) = y**3 + 14*y**2 - 17*y - 25. Let s be k(-15). Find the second derivative of -336*g**3 + 336*g**3 - 13*g - 22*g**s wrt g. -440*g**3 Find the first derivative of 148*s**2 - 598*s**2 - 330 - 291 wrt s. -900*s Suppose 0 = -3*u + 49 + 29. Suppose -3*w = 6, 3*i - u = 2*i + 2*w. Find the second derivative of i*t**2 - 8*t**5 - 22*t**2 - 4*t wrt t. -160*t**3 Let x = -28 + 56. What is the second derivative of x*o + 20*o**5 - 7*o**5 - 26*o wrt o? 260*o**3 Suppose 0 = -a - 0 + 2. Suppose -3*t + 8 = 2*z, 2*t - 10 = -0*t + z. Find the third derivative of 2*g**2 - 9*g**4 - a*g**t + 7*g**4 wrt g. -96*g Let t(o) be the second derivative of -103*o**6/15 - 37*o**2 - 140*o + 1. Differentiate t(s) with respect to s. -824*s**3 Let y(h) = h**3 - 5*h**2 + 7*h - 10. Let a be y(4). What is the third derivative of -2*g**3 + 4*g**3 - g**a - g**2 wrt g? 12 Suppose 9*x + 17 = 188. What is the derivative of 9*w**3 - x - 3*w**3 + 0*w**3 + 3*w**3 wrt w? 27*w**2 Let n(r) = 480*r - 796. Let h(x) = -241*x + 398. Let p(m) = -5*h(m) - 3*n(m). Differentiate p(i) with respect to i. -235 Let u(d) be the second derivative of 2*d**6/15 + 25*d**3/6 + 5*d**2/2 + 18*d. Let p(f) be the first derivative of u(f). Differentiate p(q) with respect to q. 48*q**2 Let k(l) be the second derivative of l**6/15 - 2*l**5 + 179*l**4/12 + 741*l. What is the third derivative of k(x) wrt x? 48*x - 240 Let o(c) be the second derivative of 153*c**5/20 + 5*c**3 + 3*c**2/2 - 75*c. What is the second derivative of o(t) wrt t? 918*t Let a(m) = m**4 + m**2 + m - 1. Let g(w) = 7*w**4 - 3*w**2 - 3*w + 27. Let i(x) = 12*a(x) + 4*g(x). Differentiate i(k) wrt k. 160*k**3 Let k(r) be the first derivative of 17*r**5/5 + r**2 - 415*r + 69. Differentiate k(u) wrt u. 68*u**3 + 2 Let q(h) = -22*h**2 - 6*h + 5. Let l(t) = -5*t + 4*t + 4*t - 2*t - 1 + t**2. Let z(f) = 5*l(f) + q(f). Find the second derivative of z(k) wrt k. -34 Find the second derivative of 1 - 5 - 8*i + 3 - 2 + 148*i**2 wrt i. 296 Let q(p) = -p**2 + 2. Let x be q(2). Let s = 5 - x. Find the second derivative of 12*u + u**5 - 3*u**5 - s*u wrt u. -40*u**3 Let b(r) be the third derivative of -467*r**8/168 + 33*r**5/20 - 858*r**2. What is the third derivative of b(u) wrt u? -56040*u**2 Let p(i) = -5*i + 80. Let x be p(15). Let l(q) = q**3 - 6*q**2 - 26. Let s(g) = -g**3 - g**2. Let j(u) = x*s(u) - l(u). Find the third derivative of j(n) wrt n. -36 Let v(f) be the third derivative of 209*f**6/40 + 13*f**4 + f**3/6 - 262*f**2. What is the second derivative of v(d) wrt d? 3762*d Let q(l) be the first derivative of -61*l**4/2 - 165*l**3 + 190. Find the third derivative of q(y) wrt y. -732 Let a(z) be the third derivative of -19*z**8/336 + z**7/70 - 451*z**5/60 + 26*z**2. Find the third derivative of a(x) wrt x. -1140*x**2 + 72*x What is the first derivative of -48*q**3 + 127*q**3 + 11 + 59 + 548*q**3 - 55*q**3 wrt q? 1716*q**2 Suppose 3*x - 631 = 5*n, -4*x - 2*n + 102 + 748 = 0. What is the third derivative of -212 - 2*g**5 + x - 4*g**2 wrt g? -120*g**2 Let q(m) be the second derivative of 0*m**4 + 0*m**2 + 10/21*m**7 + 0*m**5 + 0 - 2*m**3 - 18*m + 0*m**6. What is the second derivative of q(y) wrt y? 400*y**3 Let s(i) = 4*i + 4. Let n be s(-6). Let j = n + 25. What is the second derivative of -2*o**5 + 0*o**5 + 4*o + 11*o**j wrt o? 180*o**3 Let i(w) = -7*w - 4*w - 7*w**4 - 9*w**4. Let q(m) = -m + 24*m**4 - 10*m - m + 28*m. Let f(o) = -8*i(o) - 5*q(o). Find the second derivative of f(l) wrt l. 96*l**2 Let u(z) be the second derivative of 9*z**5/20 - 109*z**3/6 + z - 30. What is the second derivative of u(p) wrt p? 54*p Suppose 3*r = -2*r + 15. Suppose -j + r = -i + 2, -4*j + 18 = 3*i. Find the second derivative of j*t**2 + 7*t**4 - 3*t**4 - 5*t - 3*t**2 wrt t. 48*t**2 Let m(k) = -k**2 + 5*k + 5. Let v be m(5). Let l(s) = 11*s + 59. Let d be l(-5). Find the third derivative of -3*h**5 + 3*h**v + 0*h**2 + 6*h**5 - d*h**2 wrt h. 360*h**2 Let v(l) be the third derivative of l**6/120 + l**5/12 + l**4/12 + 2*l**3/3 - l**2 - 12*l. What is the second derivative of v(s) wrt s? 6*s + 10 Suppose -p - 21 = -8*p. What is the third derivative of -11*d**2 + 0*d**2 + d**3 + 3*d**2 - p*d**2 wrt d? 6 Let x(r) = 370*r**2 - 35*r - 136. Let w(f) = 370*f**2 - 30*f - 137. Let o(j) = 7*w(j) - 6*x(j). Differentiate o(h) wrt h. 740*h What is the second derivative of 13*o - 110*o - 44*o**2 + 10*o wrt o? -88 What is the second derivative of -14 - 6 + 139*f**2 + 8*f + 98*f + 3 + 16 wrt f? 278 Let q(g) = -808*g**3 - 295*g**2 - 10*g. Let c(s) = 404*s**3 + 147*s**2 + 4*s. Let i(z) = 5*c(z) + 2*q(z). What is the third derivative of i(x) wrt x? 2424 Let w(u) = -16*u**3 + 2*u**2 - 226. Let q(l) = -34*l**3 + 5*l**2 - l - 453. Let i(d) = -2*q(d) + 5*w(d). What is the first derivative of i(a) wrt a? -36*a**2 + 2 Let g be 2/8 + 3015/20. Find the second derivative of -g*o + 156*o + 0*o**2 + 0*o**2 + 5*o**5 wrt o. 100*o**3 Let m(i) be the third derivative of 67*i**8/112 + 63*i**4/4 + 2*i**2 + 161. Find the second derivative of m(h) wrt h. 4020*h**3 Suppose -y = 5 - 4. Let i(q) = -7*q**3 - q**2 - 6. Let z(l) = l**2. Let w(m) = y*z(m) - i(m). What is the derivative of w(x) wrt x? 21*x**2 Let l(v) = 1. Let u(w) = -2*w**3 - w**3 - 3 - 4*w**3. Let n(h) = -4*l(h) - u(h). Differentiate n(q) wrt q. 21*q**2 Let x(z) = z**2 - z + 2. Let q = 2 + -2. Let l be x(q). What is the third derivative of 9*w**2 - 3*w**3 - 3*w**2 - 4*w**2 - 7*w**l wrt w? -18 Suppose -3*r = -4*x + 45, -3*x + 40 = -3*r + 7*r. What is the first derivative of -5*u + 5*u + x + 2 - 10*u**3 wrt u? -30*u**2 What is the second derivative of 4*n**5 - 14*n**5 + 76*n - 8 - 116*n**4 + 5*n**5 + 3*n**5 + 6 wrt n? -40*n**3 - 1392*n**2 Let l(c) be the third derivative of -7/120*c**6 + 0*c + 0 - 18*c**2 + 13/30*c**5 + 0*c**3 + 0*c**4. What is the third derivative
{ "pile_set_name": "DM Mathematics" }
at is the common denominator of y and (-21)/70 - (-42)/(-35)? 14 Let g be 3 - ((-7)/((-28)/32) + 2). Let y be (-32)/(-10)*(-20)/(-4). Let r = g + y. Calculate the lowest common multiple of 8 and r. 72 Calculate the common denominator of (-1*(-7)/(-42))/((-32)/504) and 0/3 - 16/5. 40 Let x = -65341/7160 + 3/3580. Calculate the common denominator of x and 1 + -1 - (-125)/6. 24 Let a = -59 - -61. Suppose -a*k - 6*k + 176 = 0. What is the smallest common multiple of 6 and k? 66 Let d be 3/5 + (-66836481)/176960. Let w = d + 107/5056. Let f = w - -378. Calculate the common denominator of -17/16 and f. 112 Let r = 27/46 - -1119/92. Let i = -158 - -98. What is the common denominator of (-985)/i - (-3)/9 and r? 4 Let s = 27/11 + -989/22. What is the common denominator of s and -3*(86/36 + 0)? 6 Let h = 24 + -18. Calculate the common denominator of (60/1040)/(3/74) and 4/h*135/40. 52 Let d(k) = k - 1. Let i(c) = -c**3 + 11*c**2 - 17*c. Let o be i(9). Calculate the least common multiple of d(5) and (33/o)/(5/15). 44 Let k(u) = u**2 - 11*u - 24. What is the least common multiple of k(-4) and 10? 180 What is the lowest common multiple of 146 and -4 - (-13)/1 - (-20)/(-10)? 1022 Let w = 2/6649 - 259343/106384. Calculate the common denominator of w and (-12)/(-308)*(-231)/(-42). 112 What is the common denominator of ((-4)/(-6))/(12*(-1)/97) and 89/24? 72 Let d(l) = -8*l**2 + l - 2. Let j be d(-2). Let t = 23/4 - 191/12. Find the common denominator of (310/(-105))/((-16)/j) and t. 42 Let x = 51 - 29. Suppose 0 = 5*b + 4*t - x, 0 = -5*t - 3 - 7. Suppose 3*o = b*o - 18. Calculate the least common multiple of o and 34. 102 Suppose 65 = 5*d - u, -3*d + 2*u = -u - 51. Let z be 3 + -74*(-3)/(-6). Let g = -16 - z. Calculate the least common multiple of g and d. 36 Suppose 464 = -4*s + 12*s. Suppose -s*t + 52*t + 12 = 0. What is the lowest common multiple of t and 1? 2 Suppose 2*q + q - 317 = s, 3*q - 325 = 5*s. Let v = q + 192. Let o = 3242/11 - v. What is the common denominator of -29/10 and o? 110 Suppose 11*h + 6 = 12*h. Let l = 7 + h. Let v = -5 + l. What is the least common multiple of 4 and v? 8 Suppose -t + 147 - 9 = -3*p, 2*t = -5*p + 276. Calculate the lowest common multiple of t and 36. 828 Suppose -6*j - 11*j = -2550. What is the smallest common multiple of j and 2? 150 Calculate the common denominator of -3 + 2 + (-388)/(-120) and (-3 - -1) + 776/(-144). 90 Calculate the common denominator of 89/21 + 1*-2 and 3055/(-696) + 92/(-1334). 168 Suppose 0 = 4*z - 975 - 1633. Calculate the smallest common multiple of 14 and z. 4564 Let z = 4203 + -88300/21. Calculate the common denominator of 58/5 and z. 105 Let v = -18775 - -1971439/105. What is the common denominator of v and -143/120? 840 Suppose -406 = 4*l - 5*l + 5*o, -784 = -2*l + 3*o. Calculate the common denominator of (0 - l/132) + (-4)/6 and 61/8. 88 Suppose 0 = 7*l + 84 - 252. Calculate the lowest common multiple of 30 and l. 120 Suppose -30*v - v = -186. Suppose -5*c + 335 = 3*x + 2*x, 0 = 2*c + 3*x - 131. What is the smallest common multiple of c and v? 210 Let h = 7 + 21. Suppose -2*a = -d + 9 + 17, 3*d + a - 43 = 0. What is the least common multiple of d and h? 112 Suppose -18 = -4*g - 6. Suppose 448 = g*o + 1. Let b = 103 - o. Calculate the common denominator of b and 1/6. 6 Let g = -27 - -31. Let v(i) = -i**3 + 4*i**2 - i - 4. Let p be v(g). Find the common denominator of (-29)/(-18)*(4 + p) and 3/11. 99 Suppose -4*w + 5*w = -3*b - 38, 3*w + 15 = 0. What is the common denominator of (b/(-6))/(4/(-3)) and -51/8? 8 Let b = 144 + -133. Calculate the smallest common multiple of b and 1/(-2) - (-38)/4. 99 Suppose 2*j - 22 = -2*c, 2*c = -5*j - 2*c + 52. Calculate the lowest common multiple of 10 and j. 40 Let i(w) = 2*w**3 + 34*w**2 - 7*w - 115. Calculate the smallest common multiple of (25/(-3))/(2/(-6)) and i(-17). 100 Calculate the common denominator of -17/96 and (33/(-180))/(-3 + 30/9). 480 Let p = 1508 - 1486. Let r = -6 - -10. Calculate the lowest common multiple of p and r. 44 Let w be (-32)/(-16) - (4 + 1). Let o(z) = -z**3 - 7*z**2 + 8*z + 9. Calculate the least common multiple of o(-8) and ((-9)/w)/(12/40). 90 What is the common denominator of 3377/(-1320) - 20/(-16) and 119/12? 120 What is the common denominator of 3/(672/(-103)) + 24/56 and -45/8? 32 Let g(i) = 4*i**3 + 2. What is the lowest common multiple of 9 and g(1)? 18 Suppose 0 = 4*a - 10 - 6. Suppose -a*t + 128 = 48. What is the least common multiple of t and 2? 20 Suppose -q - 26 = -5*s, 4*q - 16 = -s + 6. Let d be (-28)/(-42) + (-88)/s. Let x = d - -73/2. Calculate the common denominator of x and 6/11. 22 Let t = 201 + -193. What is the lowest common multiple of 12 and t? 24 Let a = 49 + -47. Calculate the smallest common multiple of a and (-2)/(-9) + 16/9. 2 Let q(m) = -m**3 + 5*m**2 + 2*m - 1. Let y be q(4). Suppose -5*v = 5*p - y - 17, -2*v = -2*p + 32. What is the smallest common multiple of p and 18? 36 Let h be (5/25)/((-2)/(-10)). Let n(a) = 2828*a**3 - a**2 + 1. Let f be n(h). Let i = f - 22701/8. Find the common denominator of i and 43/11. 88 Let k = 1/702 - -3353/702. Find the common denominator of k and -101/8. 72 Suppose 0 = -5*x + 16*x - 231. Let v = -2 - -26. What is the least common multiple of v and x? 168 Let n = -4817651/25 - -192677. Let k = -495210 - -198097591/400. Let f = n + k. What is the common denominator of f and -97/34? 272 Let a = 99923/511400 - 1/2557. What is the common denominator of a and 87/136? 3400 Let x = 61 + -52. What is the least common multiple of (8/6)/((-30)/(-45)) and x? 18 Suppose 12 = -5*f - 38. Let b(j) = j**3 + 11*j**2 + 9*j + 6. Calculate the smallest common multiple of b(f) and 22. 176 Let n(t) = t**2 - 9*t + 4. Let z be n(9). Let k(c) = -2*c**3 + 6*c**2 - 6. Let i be k(z). Find the common denominator of -9/16 and i/80 - (3 + -4). 80 Find the common denominator of 273/(-6)*2/(-48) and ((-644)/168)/((-8)/(-10)). 48 Let t be (-1 + 0)/((-1)/3). Suppose -5*h - 7*u - 20 = -t*u, 27 = -4*h - u. What is the common denominator of -52/5 and (2 - h)*10/(-8)? 10 Suppose -171497 = -10*u + 136863. Let x = u + -4625363/150. Calculate the common denominator of x and 33/20. 300 Suppose 23*s = 27*s - 40. Find the common denominator of 74/9 and (-4)/s + 2771/765. 9 Calculate the lowest common multiple of (-275)/(-3) - ((-186)/18 - -11) and 10. 910 Let d be (-10)/4*8/(-10). Let a = -31 - 167. Calculate the common denominator of 41/8 and (-2827)/a + d/9. 8 Suppose -h + 42 = 2*h. Let t be 5/(-25) - (-14)/(-5). Calculate the smallest common multiple of 9 - (1 - 4)/t and h. 56 Let y = 319 + -2479/8. What is the common denominator of -53/6 and y? 24 Let u be (-10)/105*(-276)/2. Let z = 52/7 - u. What is the common denominator of -67/9 and z? 63 Let w(t) = 28*t + 248. Calculate the least common multiple of w(7) and 24. 888 Let k = -64944 - -5715139/88. Find the common denominator of k and 17/2. 88 Suppose -z + 63 + 10 = 5*c, 55 = 3*c - 5*z. What is the smallest common multiple of 228 and c? 1140 Let b = -678475/68 + 9978. Find the common denominator of b and (-1 + (-122)/(-12))*1. 204 Suppose 17*c = 14*c + 6. Suppose -c*y + 3 + 5 = 0. What is the least common multiple of 4 and -2*(-2)/y*10? 20 Suppose 36*r - 2346 = 30*r. What is the lowest common multiple of r and 3? 1173 Let d = -23136 - -1503877/65. What is the common denominator of 29/5 and d? 65 Let w = -178581418110 + 25333559971138249/141860. Let s = w - -2389/173. Let d = 5/82 + s. What is the common denominator of 41/10 and d? 20 Let h = -4335/4 + 1066. Let l = 2/22237 + 2735111/444740. Calculate the common denominator of h and l. 20 Let h(t) be the third derivative of -3*t**4/8 - 20*t**3/3 + 14*t**2. Calculate the lowest common multiple of h(-11) and 5. 295 Let l = 42 + -39. Calculate the least common multiple of 9 and 0 + -2 + (l - -32). 99 Suppose -3*w - 3 = -45. What is the smallest common multiple of w and 5 - -1 - (-5 + 2 - -1)? 56 Calculate the common denominator of (914/156 - (-15)/(-9)) + -7 and (-1)/(-3) - 217/(-24). 104 Let u = 264 + -257. Calculate the smallest common multiple of 9 and u. 63 Suppose 91 = 9*i - 89. Find the common denominator of 85/32 and -1 + (-289)/90 + 12/i. 288 Let i(k) = k**2 + 8*k - 3. Let g be i(-8). What i
{ "pile_set_name": "DM Mathematics" }
) -1348 (c) -124 (d) -320 a What is the nearest to 0 in 0.221, 0.0304, -5/3, 1/4, 4/3? 0.0304 What is the nearest to -1/4 in 0.2, -68.9, 4/29? 4/29 What is the nearest to 0.3 in 2/4485, 0, 2/9, -129, 0.1? 2/9 Which is the closest to -19/126647? (a) -1/3 (b) -4 (c) -2/11 (d) 5 c Which is the nearest to 0? (a) -12 (b) 4 (c) 2/133 (d) -102 c Which is the closest to -1/17? (a) 1/7 (b) 7/9 (c) 0 c What is the nearest to -1 in -6, -0.0175077, 2? -0.0175077 Which is the closest to 6? (a) -1 (b) 0 (c) -78 (d) 0.09 (e) -11 d What is the nearest to -0.4 in 4/11, -88, -80? 4/11 Which is the nearest to 4? (a) 1/4 (b) 0.2 (c) -17 (d) -1/33 (e) 0.62 e What is the closest to 2 in 1, -0.2, 6/5, 1.1131? 6/5 What is the closest to 8 in -2/21, -14/241, -0.3, 0.2, 0.3? 0.3 Which is the closest to 5? (a) 7/11 (b) -1.4 (c) -1/2 (d) 0.339 (e) -2 a Which is the nearest to 0.09? (a) 74 (b) -5/9 (c) -1 b What is the closest to -0.05 in -0.2, -0.1, -11, -44, -32? -0.1 Which is the closest to 33? (a) 1 (b) -3/2 (c) 2 (d) 52744 c Which is the closest to 3446? (a) 3 (b) 0.9534 (c) -1 a What is the nearest to 0.2 in -0.4, -1545, 1/195, -3? 1/195 What is the closest to 5/8 in 2.1, 1.2, 0, -0.5, 23? 1.2 What is the closest to -404 in -1/9, -0.4, 0.4, -948? -0.4 Which is the closest to -1? (a) -0.4 (b) -860361.7 (c) -1/4 a Which is the nearest to 2/5? (a) 2 (b) 10.048 (c) -11.8 a What is the nearest to -3 in -17960, 1, 2/3, -4? -4 What is the closest to -5 in 122/3, 3, -1/2, 1/9, -27? -1/2 What is the closest to 1 in -0.4, 10/7, 5, -8/3, 1098? 10/7 Which is the nearest to 160? (a) 60 (b) -0.5 (c) 407 a What is the nearest to -5 in -0.7, 2/3, -588? -0.7 Which is the closest to 2166? (a) 0.5 (b) 3/187 (c) -2/9 (d) 5 d What is the closest to 27.4 in 0.2, 1/2, 357? 1/2 Which is the nearest to -1779? (a) 0 (b) -1.82 (c) -0.4 (d) 0.14 (e) 0.2 b Which is the nearest to -0.2? (a) 0.4 (b) 8.7 (c) 3 (d) 0.6 (e) 0.26 e What is the closest to -0.04827 in 0.4, 8, 5, 2/3? 0.4 What is the closest to 0.037 in 1, -0.3, 4, -3, 29/136? 29/136 What is the nearest to -6962 in -0.4, -0.4888, -4/5? -4/5 What is the closest to -156 in 2/631, 27, -0.5? -0.5 What is the closest to 0.068 in -0.2, 0.09, -0.4, 59, 4, -2? 0.09 What is the nearest to 4 in 1563, -2/5, -4, -7/3, -0.2? -0.2 What is the nearest to -2 in -0.1, -0.014, -0.17, 23.1, 2/13? -0.17 Which is the nearest to 30? (a) -16 (b) 42/8735 (c) 3 (d) -0.5 c What is the closest to 0.1 in -1/2, -865, -3/4, -9, -0.3? -0.3 Which is the nearest to 2? (a) -10172 (b) -2/11 (c) -1/2 b What is the closest to 1/3 in 4, 0.2, -264, 363? 0.2 Which is the closest to 3/152? (a) 0.3 (b) -2/5 (c) 6 (d) 0.4 (e) -2/7 (f) 1/2 a Which is the nearest to -1? (a) 2/7 (b) -10426 (c) -0.3 (d) 2 c What is the closest to 2.22979 in -2, -2/11, 6? -2/11 Which is the closest to 1? (a) -1 (b) 0.1 (c) 2 (d) -1269 (e) -77 b Which is the nearest to -0.1? (a) 5 (b) -1/7 (c) 711 (d) 1/4 (e) -1 (f) -31 b What is the nearest to 2/39 in 4092, 2, 0? 0 Which is the closest to 10? (a) 9/5 (b) 4/29 (c) 6 (d) 3 (e) -2 (f) -6 c What is the closest to -2 in -0.1, -5/3, -595/16? -5/3 Which is the closest to -0.3? (a) -327 (b) 33/4 (c) 4 c What is the closest to -29.7 in -2/25, -0.2, 2, 10/119? -0.2 What is the nearest to -2 in -0.021, -321, -0.2, 38? -0.2 What is the nearest to 1 in -87, -0.2, -0.05, 0.1, 135, 2? 0.1 Which is the closest to 329? (a) -10/3 (b) 16 (c) 7 b Which is the nearest to 22? (a) -1/11 (b) -8 (c) -0.6 (d) 2/3 (e) 5/3 e Which is the closest to -6? (a) 15 (b) -7/4 (c) -1/6 (d) -38 b What is the closest to -11 in 622986, -1/10, -0.3, 2/7, -5? -5 Which is the closest to 14? (a) 0 (b) 51.1 (c) 1/3 (d) 2/7 c Which is the closest to 0? (a) -3/8 (b) 1442 (c) -4/9 a What is the closest to -1/5 in -0.1, -8/19, -0.12, -1/71? -0.12 What is the closest to -2/77 in -0.2, -3, 1/19, -9870? 1/19 Which is the closest to -1? (a) -31 (b) -2 (c) -4 (d) 2/7 (e) 12 b What is the nearest to -9 in 50, -0.1, 1166? -0.1 What is the nearest to -0.8 in -10, 30, 20/3, 2? 2 What is the nearest to 2/525 in -12, 0, -4.6, -4, -1? 0 Which is the nearest to 14.5? (a) 0.05 (b) 3/4 (c) 19/3 (d) 937 c What is the nearest to -2 in 3, 2/1113489, -0.5? -0.5 What is the closest to -0.2 in 4, 14, -50/2121? -50/2121 What is the nearest to 0.1 in 0.49, 3, -9093? 0.49 What is the nearest to -3 in -2/17, 6/713, -1/4, 0.058? -1/4 Which is the closest to 9? (a) -24 (b) -446 (c) -13 (d) 4 (e) -1 d Which is the closest to -0.28? (a) 1 (b) -1636 (c) 3/5 (d) 0 (e) 0.8 d What is the closest to -1 in -59/5, 0, 78, 3, 3.3, -7? 0 Which is the nearest to 2/7? (a) 1 (b) -0.3 (c) -28/5 (d) -23.49 b Which is the closest to 4? (a) 2.29 (b) -201.2 (c) 6 a What is the closest to 2 in -25449, -8.1, 6? 6 What is the nearest to -0.225 in -0.3, 8, 122? -0.3 Which is the nearest to 0? (a) 69 (b) -5 (c) -14 (d) 15.8 (e) 2 e What is the closest to 0 in 8, 2900, -19, -4? -4 Which is the nearest to 9? (a) 4/9 (b) 0.4 (c) 1 (d) -5 (e) -0.06645 c Which is the closest to -2/3? (a) -5 (b) -4 (c) -319/1273 c What is the nearest to -24 in 0.044, -91, 2, 0.5? 0.044 What is the nearest to -1 in 5, 1/9, -4, 8385/82, -5/4? -5/4 Which is the closest to -1/4? (a) 1 (b) -7 (c) -11/9 (d) 84 (e) -2 c What is the closest to 1/2 in -21, 3, 0.1, -2/3, 32/12607? 0.1 What is the nearest to 12 in 3, -11381, -5/4? 3 Which is the nearest to -2? (a) 43 (b) 5 (c) 11 (d) -1695 (e) 2/9 e What is the nearest to 2/5 in 52, 3, -7, 3/7, -0.005? 3/7 Which is the nearest to 0.2? (a) 19.9 (b) 1 (c) -0.02 (d) 46 c What is the closest to -2/7 in 12, 2/7, 0.05, 3, -14, -36.8? 0.05 Which is the nearest to 1? (a) 103 (b) -430/7 (c) -2/3 c Which is the closest to -1? (a) -24/6595 (b) 3 (c) -1/12 (d) -0.01 (e) 1/2 c Which is the closest to -1? (a) 944 (b) -2 (c) 0.1 (d) -0.2 (e) -1.1 (f) 1 e Which is the closest to -81/23? (a) -2 (b) 390/7 (c) 3 a What is the nearest to -1/5 in 24, -2/21, -1/1424? -2/21 What is the closest to -0.1 in 0.9, 2, 1992/29, -3? 0.9 Which is the nearest to 1/4? (a) -1/3 (b) -0.032 (c) 3/4 (d) -6 (e) -87 b Which is the nearest to -144? (a) -3/4 (b) -31 (c) -2/11 (d) 23 b What is the closest to 2/7 in 420, -2/7, -22727, -0.2? -0.2 What is the closest to -141 in -0.1, -15, -15/7? -15 Which is the closest to 3.1? (a) -5 (b) 3 (c) 93/17 (d) 0.05 (e) -2 b Which is the nearest to 0.1? (a) -1 (b) -27 (c) 0.11 (d) -13 (e) -222 (f) -3 c Which is the closest to -1207? (a) -9/19 (b) -0.3 (c) -2 c Which is the closest to 11666590? (a) 2 (b) 1/5 (c) -1/3 a Which is the nearest to -2/3? (a) -0.4 (b) 9 (c) 0.434 (d) 1/6 (e) -4 a Which is the closest to -4/11? (a) -9/178 (b) 0.4 (c) 2/21 a Which is the closest to -1? (a) -225/2 (b) 4 (c) 1.7 (d) 4/7 (e) -3 d What is the nearest to -2/7 in 2122.6, 2/9, 28? 2/9 What is the nearest to -2/5 in 0.4, -3/13, 0.1, 0.3, -925? -3/13 Which is the closest to 45? (a) -3 (b) -6 (c) -0.7 (d) -19 (e) -2/61 e What is the nearest to -29 in 0, 49, 25.68, -6/7? -6/7 What is the closest to -2/7 in -5, 3, 16/257, -2/7, -6/5, -0.08? -2/7 What is the closest to -0.3 in -50, 11/3, 1.096, 5? 1.096 Which is the closest to 1? (a) 0 (b) 0.4504 (c) 35 (d) 7 (e) -0.1 b Which is the closest to 199? (a) -4 (b) 2/85 (c) -0.15 b What is the nearest to 4 in -4, -1647/1579, 4? 4 What is the closest to 3 in -2/9, 5, 13698, 5/6, -1.4? 5 What is the closest to -3/31 in -10/19, 6874, 1? -10/19 What is the closest to -14386 in 4, -4/19, -1/5, -0.1? -4/19 What is the nearest to 2/105 in -39, -0.1, 4, -2.3? -0.1 What is the nearest to -0.07 in 0, 11, -84, 44? 0 What is the nearest to -1/3 in -0.4, -1, 16, -24/11, -5/17? -5/17 What is the nearest to 0.0306 in 4/5, 15, 0.4, 0.013? 0.013 What is the closest to -1/9 in -2/7, -1/3, 4, -0.04, 345? -0.04 What is the nearest to -1 in 3/7, -17, -41, 16? 3/7 Which is the closest to -9? (a) 1/2 (b) -48 (c) -1 (d) 2/13 (e) -7.4 e Which is the nearest to -0.07? (a) 10885 (b) -2 (c) -1/11 (d) 2/23 (e) 0.1 (f) 2/5 c What is the closest to -3 in -160, -3, -2.959, 0.2? -3 What is the n
{ "pile_set_name": "DM Mathematics" }
+ 1. Give f(-4). -3 Let d(p) = 6*p - 45. What is d(9)? 9 Let p(x) = -x**2 - 27*x - 183. Calculate p(-14). -1 Let q(n) = n**3 - 13*n**2 + 11*n - 13. Determine q(12). -25 Let i(n) = -n**2 - 3*n + 49. Determine i(-9). -5 Let k(b) = -b**3 - 4*b**2 - 2*b - 3. Determine k(-4). 5 Let q(i) = i**3 - 26*i**2 - 27*i - 6. Determine q(27). -6 Let b(j) = j**3 - 21*j**2 - 20*j - 7. What is b(22)? 37 Let a(s) = -s**2 - 3*s + 3. What is a(-4)? -1 Let w(c) = -c + 5. Give w(12). -7 Let t(w) = 6*w - 16. Give t(4). 8 Let o(c) = 2*c + 31. Give o(-10). 11 Let s(n) = -48*n**2 + n + 1. Determine s(-1). -48 Let g(f) = f**3 - 7*f**2 + 5*f + 7. What is g(2)? -3 Let s(f) = -f**3 - 24*f**2 - f - 18. What is s(-24)? 6 Let t(n) = n**2 + 2*n + 4. What is t(-4)? 12 Let j(z) = -4*z**3 - z**2 - z + 2. Give j(-2). 32 Let u(s) = 19*s**2 - 2*s - 2. Give u(-1). 19 Let x(m) = 3*m**2 - 44*m - 15. Give x(15). 0 Let g(j) = j**2 + 8*j + 15. Give g(-10). 35 Let q(k) = -k**3 - 19*k**2 + 68*k + 42. What is q(-22)? -2 Let p(u) = -u**3 + 14*u**2 - 14*u + 6. Determine p(13). -7 Let f(w) = 17*w - 274. Give f(16). -2 Let w(k) = k**2 - 3*k + 22. What is w(0)? 22 Let d(w) = w**2 - 11*w + 44. Give d(3). 20 Let s(g) = -g + 9. Determine s(2). 7 Let r(k) = -24*k + 149. Calculate r(6). 5 Let h(m) = -16*m + 102. Determine h(6). 6 Let y(r) = 10*r**3 + r**2 + r + 1. Determine y(-1). -9 Let p(d) = d - 2. Give p(1). -1 Let p(d) = d**3 - 20*d**2 - 123*d - 44. Determine p(25). 6 Let j(i) = -4*i**2 - 32*i - 7. Give j(-6). 41 Let j(r) = r**2 - 9*r - 5. What is j(11)? 17 Let w(r) = 41*r + 77. Determine w(-2). -5 Let x(u) = -u**2 - 20*u - 40. Give x(-18). -4 Let j(y) = y**2 - y - 6. Calculate j(6). 24 Let s(n) = 2*n**2 - n + 5. What is s(0)? 5 Let g(s) = -8*s**2 - 3*s - 10. What is g(-3)? -73 Let u(x) = -6*x - 6. What is u(-1)? 0 Let r(x) = -x**2 - 7*x. What is r(-6)? 6 Let z(d) = -3*d - 6. Give z(-9). 21 Let n(a) = 2*a**3 + 2*a**2 + 5*a + 6. Determine n(-2). -12 Let i(l) = l**3 + 38*l**2 + 68*l - 139. What is i(-36)? 5 Let v(q) = -q**3 - 2*q**2 + 7*q - 3. Give v(-4). 1 Let z(u) = -u**3 - 19*u**2 + 19*u - 14. Calculate z(-20). 6 Let n(s) = s + 15. Give n(-6). 9 Let k(m) = m**2 + 25*m - 62. What is k(-27)? -8 Let u(k) = 8*k - 2. Determine u(-4). -34 Let x(k) = 17*k - 12. Calculate x(1). 5 Let j(h) = -h - 5. Calculate j(-5). 0 Let y(n) = 3*n**2 + 25*n + 101. Calculate y(-5). 51 Let l(r) = -2*r**2 + 76*r + 86. Calculate l(39). 8 Let v(t) = t**3 + 5*t**2 + 6*t + 43. Give v(-6). -29 Let n(r) = -r**2 + 10*r - 2. Determine n(9). 7 Let k(v) = v**2 + 24*v - 19. Give k(-21). -82 Let j(v) = -9*v + 345. What is j(38)? 3 Let l(m) = -3*m**3 + 5*m**2 + 3*m - 3. What is l(-2)? 35 Let j(m) = -2*m - 10. What is j(-7)? 4 Let d(c) = c**2 - 19*c - 344. Determine d(-11). -14 Let v(s) = s**3 - 7*s**2 + 3*s + 6. Calculate v(5). -29 Let v(b) = b**2 + 8*b - 35. What is v(-11)? -2 Let r(g) = g + 5. Calculate r(3). 8 Let q(u) = -2*u**3 + 5*u + 1. Give q(-2). 7 Let m(k) = -2*k + 8. What is m(6)? -4 Let v(u) = -u**3 - 27*u**2 - 25*u + 21. Give v(-26). -5 Let r(d) = -3*d**2 - 5*d + 2. What is r(-5)? -48 Let x(c) = 13*c + 2. Determine x(-1). -11 Let a(x) = -4*x**2 - 7*x - 4. Give a(-3). -19 Let l(i) = 7*i + 130. Determine l(-17). 11 Let s(v) = -5*v + 50. What is s(6)? 20 Let h(y) = -y**3 + 14*y**2 + 19*y + 19. Give h(15). 79 Let v(b) = -2*b**3 - 14*b**2 - 24*b + 5. Determine v(-4). 5 Let z(o) = -18*o - 693. Calculate z(-39). 9 Let l(z) = 4*z**3 - z**2 + 3*z - 1. Calculate l(1). 5 Let d(h) = -4*h**2 - 8*h - 8. Determine d(-1). -4 Let j(d) = -4*d - 49. Calculate j(-10). -9 Let n(r) = 8*r + 105. Determine n(-12). 9 Let n(w) = -8*w**3 + w**2 - 17*w - 17. What is n(-1)? 9 Let j(m) = 4*m**3 - 1. Determine j(1). 3 Let k(j) = -j**2 - 16*j - 32. What is k(-15)? -17 Let a(i) = 14*i**2 - 2*i - 1. Give a(-1). 15 Let m(g) = g**3 + 11*g**2 + 14*g - 17. Determine m(-9). 19 Let y(t) = -18*t**2 - t. What is y(1)? -19 Let y(h) = -h**2 - 6*h - 15. Calculate y(-7). -22 Let w(o) = -o**2 + 20*o - 42. What is w(10)? 58 Let d(f) = -f**2 + 3*f + 6. Calculate d(-4). -22 Let k(g) = -g**2 - 2*g + 3. Calculate k(-2). 3 Let c(b) = -17*b. Determine c(-1). 17 Let l(u) = -u**3 + u**2 - 3*u + 4. What is l(0)? 4 Let o(c) = c**3 - 15*c**2 - 2*c + 14. Calculate o(15). -16 Let q(l) = 17*l - 220. Calculate q(14). 18 Let q(t) = -12*t**2 - t + 1. What is q(2)? -49 Let x(m) = m**2 - 17*m + 48. What is x(11)? -18 Let y(h) = 5*h**2 + 5*h - 2. Determine y(1). 8 Let j(a) = 5*a + 67. Determine j(-13). 2 Let k(p) = -2*p**3 - 2*p**2 + 2. Calculate k(2). -22 Let k(u) = -u. Give k(7). -7 Let v(x) = 3*x + 137. Give v(-41). 14 Let u(g) = g**2 - 19*g + 22. Determine u(10). -68 Let q(s) = s**3 + 21*s**2 + 37*s + 9. Calculate q(-19). 28 Let h(t) = -t**3 + 38*t**2 + 3*t - 91. Determine h(38). 23 Let z(f) = -f**2 - 6*f - 5. Give z(-5). 0 Let l(x) = -x**3 + 11*x**2 - x - 14. Determine l(11). -25 Let f(p) = 3*p**2 + 2*p - 52. What is f(0)? -52 Let f(m) = 13*m - 14. Determine f(1). -1 Let k(x) = -x + 1. Determine k(-13). 14 Let u(c) = -c**2 + 17*c - 29. Calculate u(15). 1 Let s(y) = y**3 + 12*y**2 - 15*y - 23. Calculate s(-13). 3 Let c(m) = m**2 + 11*m + 21. Give c(-3). -3 Let x(b) = b**2 - 13*b + 29. What is x(6)? -13 Let w(o) = 2*o**2 + 5*o - 10. What is w(-5)? 15 Let l(r) = r**3 - 25*r**2 + r - 15. Determine l(25). 10 Let i(z) = 72*z**2 - 3*z - 2. Determine i(-1). 73 Let c(w) = -18*w**3 + 2*w**2 - 2*w - 3. Determine c(-1). 19 Let i(w) = 11*w**3 + 4*w**2 - 1. Give i(1). 14 Let h(r) = -5*r + 39. Give h(10). -11 Let v(y) = y**3 + 7*y**2 - 3*y - 9. What is v(-8)? -49 Let d(l) = -49*l + 492. Give d(10). 2 Let m(i) = -i**2 + i + 46. Calculate m(-6). 4 Let k(a) = a**2 - 15*a - 8. Calculate k(16). 8 Let s(n) = 6*n + 35. Give s(-8). -13 Let q(m) = 4*m - 6. Determine q(-2). -14 Let d(t) = t - 3. Give d(-2). -5 Let t(y) = -y**3 - 13*y**2 - 7*y. Determine t(-13). 91 Let v(g) = -g**2 + 249*g - 1458. Determine v(6). 0 Let l(z) = -z**2 + 2*z. Determine l(5). -15 Let r(h) = -2*h + 39. Calculate r(19). 1 Let o(c) = c**2 - 12*c. Determine o(7). -35 Let r(o) = -41*o + 491. Determine r(12). -1 Let s(y) = y**2 + y - 30. What is s(0)? -30 Let q(b) = -b**2 + 10. Determine q(-4). -6 Let f(q) = -q**2 - 9*q - 19. What is f(-6)? -1 Let o(u) = u**2 - 6*u - 9. What is o(-2)? 7 Let x(p) = p**2 - 34*p + 39. Give x(33). 6 Let b(j) = j**2 - j + 5. Give b(0). 5 Let a(v) = -v + 19. Give a(19). 0 Let j(s) = s**3 + 29*s**2 - 65*s - 63. Determine j(-31). 30 Let x(r) = 3*r**3 + 7*r**2 + 5*r - 1. Calculate x(-3). -34 Let z(q) = 3*q - 13. Give z(14). 29 Let a(u) = -u**2 - u + 3. What is a(0)? 3 Let k(m) = m**3 + 12*m**2 + 5*m - 13. Calculate k(-4). 95 Let y(w) = 2*w + 3. Give y(-2). -1 Let m(x) = -x**3 - 13*x**2 - x - 42. Calculate m(-13). -29 Let m(t) = -3*t + 46. Calculate m(16). -2 Let b(c) = c + 12. What is b(-6)? 6 Let v(t) = -6*t - 9. What is v(-8)? 39 Let i(a) = 3*a - 2. What is i(6)? 16 Let q(j) = -4*j**2 - 14*j - 14. Calculate q(-2). -2 Let f(t) = -2*t**3 + 43*t**2 - 20*t - 50. What is f(21)? -29 Let i(l) = -l - 2. Calculate i(7). -9 Let t(s) = s**3 - 14*s**2 + 13*s + 11. What is t(13)? 11 Let h(i) = i**2 - 16*i + 38. What is h(16)? 38 Let n(l) = l**3 + 3*l**2 - 7*l + 7. What is n(-3)? 28 Let i(p) = p + 11. Calculate i(10). 21 Let u(a) = -13*a + 65. Give u(5). 0 Let v(a) = 11*a + 25. Give v(-2). 3 Let v(f) = f**2 - 11*f + 35. Determine v(9). 17 Let v(a) = 8*a + 25. Determine v(-4). -7 Let w(p) = 2*p**2 + p - 4. Give w(-2). 2 Let s(j) = -j**3 - 3*j**2 + 5*j + 2. Calculate s(-3). -13 Let r(c) = -c**3 - 39*c**2 - 73*c - 6. Determine r(-37). -43 Let p(q) = q**3 + 18*q**2 + 21. Calculate p(-18). 21 Let y(j) = -2*j**2 + 5. What is y(-2)? -3 Let d(w) = w**2 - 7*w + 6. Give d(3). -6 Let w(j) = j**2 + 3*j - 2. What is w(2)? 8 Let v(s) = 19*s**3 - 2*s - 1. Calculate v(-1). -18 Let x(k) = -k**2 + 4. Calculate x(3). -5 Let s(t) = -12*t - 45. What is s(-5)? 15 Let a(q) = 39*q**3 + q**2 + q. Determine a(-1). -39 Let w(d) = -d**2 - 3*d + 36. What is w(5)? -4 Let x(m) = 15*m**3 - m**2 + 1. What is x(1)? 15 Let h(b) = 2*b**3 - 36*b**2 + 3*b - 56. What is h(18)? -2 Let k(w) = -11*w**2 - 3*w + 3. Determine k(2). -47 Let i(k) = -k**3 - 16*k**2 - 3*k - 27. What is i(-16)? 21 Let o(m) = -m**3 + 2*m**2 + 7*m - 10. Calculate o(5). -50 Let n(k) = -k**
{ "pile_set_name": "DM Mathematics" }
s(r) = -81*r + 663. Determine s(7). 96 Let f(h) = -h**3 + 10*h**2 + 10*h + 47. Determine f(11). 36 Let p(w) = -3*w**2 + 229*w - 737. Give p(75). -437 Let r(b) = b**3 - 6*b**2 - 10*b - 18. What is r(8)? 30 Let f(v) = -54*v + 1083. Calculate f(20). 3 Let f(h) = 2181*h - 43641. Determine f(20). -21 Let v(y) = -18*y - 303. Give v(-17). 3 Let y(s) = -s**3 - 97*s**2 - 1024*s - 345. Give y(-85). -5 Let t(x) = -14*x**2 - 34*x + 93. Give t(-4). 5 Let l(i) = i**2 + 113*i - 705. Give l(6). 9 Let j(x) = -997*x - 365896. Give j(-367). 3 Let t(k) = k**2 - 32*k + 80. Give t(29). -7 Let o(h) = -6*h**3 + 4*h**2 - 28*h + 50. Give o(2). -38 Let r(n) = 55*n - 176. Give r(3). -11 Let v(x) = -x**3 + 20*x**2 + 55*x - 1357. Give v(19). 49 Let u(n) = -5*n**2 - 160*n - 291. Calculate u(-30). 9 Let r(i) = i**3 + 7*i**2 + 18*i + 65. What is r(-6)? -7 Let g(v) = 18*v**2 - 15*v - 2. Give g(-4). 346 Let v(x) = -97*x + 275. Determine v(3). -16 Let m(g) = -3278*g - 22955. Calculate m(-7). -9 Let i(l) = 3*l**2 + 2*l + 40. Calculate i(-8). 216 Let k(g) = g**2 - 103*g + 1011. Calculate k(92). -1 Let z(q) = -2*q**3 + 21*q**2 + 178*q - 41. Determine z(16). -9 Let o(k) = -k**3 - 4*k**2 - 32*k + 30. Give o(-7). 401 Let h(u) = u**3 + 15*u**2 + 57*u - 32. Determine h(-9). -59 Let x(c) = -7*c**3 + 80*c**2 - 29*c + 44. What is x(11)? 88 Let i(l) = -2*l**3 - 6*l**2 - 127*l - 543. What is i(-4)? -3 Let i(a) = 14*a - 45. Calculate i(6). 39 Let m(a) = a**3 - 10*a**2 - 42*a + 430. What is m(10)? 10 Let a(p) = 4*p**2 + 79*p - 25. Determine a(-22). 173 Let m(q) = -2*q**2 + 285*q - 9580. Determine m(88). 12 Let s(t) = t**3 - 14*t**2 - 16*t + 31. Determine s(15). 16 Let f(r) = r**3 + 9*r**2 - 1425*r - 2876. Determine f(-2). 2 Let a(b) = -b**3 - 18*b**2 + 47*b + 133. Give a(-20). -7 Let v(f) = f**3 + 53*f**2 + 32*f - 1050. Give v(-52). -10 Let o(f) = -7*f**2 + 154*f - 12. What is o(22)? -12 Let r(i) = i**3 - 10*i**2 + 12*i - 250. What is r(11)? 3 Let a(y) = 982*y - 2892. Give a(3). 54 Let t(z) = -3*z + 26. What is t(11)? -7 Let t(n) = -702*n + 2645. Determine t(4). -163 Let x(f) = -3*f**2 + 21*f - 10. Give x(0). -10 Let g(u) = u**2 + 66*u + 758. Determine g(-48). -106 Let t(k) = 12*k**3 - 82*k**2 - 110*k - 18. Calculate t(8). -2 Let m(w) = -w**2 - 566*w - 7739. What is m(-14)? -11 Let h(x) = -2*x**3 + 67*x**2 + 34*x - 3. Determine h(34). -3 Let g(z) = z**3 - 33*z**2 + 35*z - 107. Calculate g(32). -11 Let q(w) = 27*w - 1600. Give q(44). -412 Let t(b) = -25*b + 2478. Give t(99). 3 Let p(w) = 10*w**2 + 134*w - 197. Calculate p(-15). 43 Let k(j) = 13845*j - 55364. Determine k(4). 16 Let h(g) = 350*g + 1860. What is h(-5)? 110 Let d(c) = -93*c - 845. Give d(-9). -8 Let h(q) = -q**3 + 6*q**2 + 13*q - 86. Calculate h(5). 4 Let a(w) = w**3 + 9*w**2 - 3*w + 230. Calculate a(-11). 21 Let r(x) = -x**3 - 2*x**2 - 39*x - 138. Give r(-6). 240 Let n(m) = 4*m**2 + 90*m + 136. Calculate n(-12). -368 Let y(a) = -2*a - 32. Calculate y(-55). 78 Let j(g) = -153*g - 8425. Determine j(-55). -10 Let y(r) = -9*r**2 - 234*r - 471. Calculate y(-2). -39 Let f(g) = -8*g**3 + 13*g**2 - 7*g - 6. What is f(1)? -8 Let i(u) = 284*u - 2273. Calculate i(8). -1 Let p(u) = -u**3 + 16*u**2 + 33*u + 105. Give p(18). 51 Let f(a) = -2*a**3 - 4*a**2 + 4*a + 10. Calculate f(-3). 16 Let w(y) = 11*y + 494. Give w(-27). 197 Let b(y) = 2*y**2 - 43*y - 1636. Determine b(-20). 24 Let c(r) = -56*r - 2303. Give c(-41). -7 Let y(a) = a**3 + 24*a**2 + 50*a + 11. Determine y(-21). 284 Let l(d) = -d**3 + 21*d**2 - 101*d - 9. Calculate l(13). 30 Let t(s) = -2*s**3 - 62*s**2 - 62*s - 47. Determine t(-30). 13 Let o(q) = 439*q + 1312. What is o(-3)? -5 Let p(o) = -19*o + 907. Determine p(48). -5 Let r(k) = -6*k**2 - 35*k - 29. Calculate r(-5). -4 Let b(p) = p**2 + 7*p - 237. Calculate b(-19). -9 Let v(w) = 3*w**2 + 14*w - 6. Give v(-5). -1 Let d(c) = 2*c**2 + 853*c + 4218. Give d(-5). 3 Let t(a) = -127*a + 1775. Calculate t(14). -3 Let k(s) = -13*s**2 + 96*s + 11. Calculate k(8). -53 Let f(q) = 22*q + 203. Give f(15). 533 Let r(f) = f**3 + 144*f**2 - 472*f - 4553. Calculate r(-147). 4 Let c(v) = 13*v + 24. Determine c(15). 219 Let t(g) = 25*g - 188. Calculate t(8). 12 Let b(f) = -f**3 + 4*f**2 - 9*f + 75. Determine b(5). 5 Let x(b) = -b**3 + 23*b**2 - 104*b - 246. Give x(11). 62 Let j(k) = -2*k**3 + 47*k**2 - 20*k - 99. What is j(23)? -30 Let h(j) = -3435*j + 8. What is h(0)? 8 Let a(q) = q**3 - 15*q**2 - 89. Determine a(15). -89 Let a(n) = n**2 - 99*n - 597. Determine a(105). 33 Let f(k) = -k + 2. What is f(30)? -28 Let b(m) = -m**3 - 39*m**2 + 78*m - 162. Calculate b(-41). 2 Let w(y) = -4*y**3 - 811*y**2 + 5875*y - 4. Calculate w(7). 10 Let h(g) = 16*g**3 - 120*g**2 + 62*g - 21. Calculate h(7). 21 Let y(p) = -12*p**2 + 464*p - 885. Determine y(2). -5 Let z(n) = 395*n - 3947. Determine z(10). 3 Let d(i) = 2*i**3 + 10*i**2 + 43*i + 191. Calculate d(-5). -24 Let m(f) = f**3 + 410*f**2 - 32*f - 13116. Give m(-410). 4 Let n(a) = -21*a**2 - 90*a + 3. Calculate n(-3). 84 Let l(u) = 669*u - 664. Give l(1). 5 Let m(b) = -2*b**2 + 19*b + 83. Give m(13). -8 Let a(f) = -f**3 - 9*f**2 - 19*f - 91. Determine a(-8). -3 Let y(q) = -8782*q + 483016. Determine y(55). 6 Let n(c) = -c**3 - 10*c**2 + 24*c + 331. Determine n(-7). 16 Let u(h) = 34*h**3 + 7*h**2 + 14*h + 2. What is u(-3)? -895 Let o(a) = a**3 - 78*a**2 - 2*a + 167. Calculate o(78). 11 Let v(c) = 21*c - 865. Calculate v(37). -88 Let f(r) = 19846*r + 39703. Give f(-2). 11 Let j(k) = -14*k**2 + 18*k - 23. Determine j(1). -19 Let h(u) = 2*u**3 - 10*u + 24. Give h(-3). 0 Let n(x) = x**3 - 127*x**2 - 3111*x + 437. Give n(148). -7 Let y(l) = -l**2 - 405*l - 35908. Calculate y(-131). -14 Let q(f) = 16*f + 204. Give q(-28). -244 Let g(z) = -8*z**2 + 65*z - 60. Calculate g(6). 42 Let x(h) = -h**2 + 105*h - 583. Calculate x(99). 11 Let k(t) = 2*t**3 + 9*t**2 + 268*t + 773. What is k(-3)? -4 Let a(k) = -11*k**2 + 374*k + 138. What is a(35)? -247 Let u(w) = -w**3 + 12*w**2 + 21*w - 125. What is u(13)? -21 Let z(u) = 75*u + 285. Give z(-4). -15 Let k(w) = w**2 + 49*w - 458. What is k(0)? -458 Let o(k) = -8034*k + 249041. Give o(31). -13 Let a(i) = -2*i**3 + 85*i**2 - 41*i - 9. Determine a(42). 33 Let d(q) = -4*q**2 - 725*q + 723. Give d(1). -6 Let g(d) = -2*d**2 + 93*d + 1544. Determine g(-13). -3 Let g(x) = 2*x**3 - 273*x**2 + 140*x - 536. Calculate g(136). 8 Let q(j) = 2*j**2 - 53*j - 257. Determine q(-5). 58 Let o(t) = 9*t + 234. Determine o(-35). -81 Let h(z) = -z**3 + z**2 + 36*z + 6. Calculate h(0). 6 Let d(n) = n**2 - 47*n - 311. Calculate d(-6). 7 Let d(s) = 15*s**2 + 703*s - 6588. Calculate d(8). -4 Let y(r) = -5*r**2 - 284*r - 3376. Determine y(-40). -16 Let w(q) = 500*q - 33501. Calculate w(67). -1 Let f(g) = -120*g - 2034. What is f(-17)? 6 Let r(f) = 332*f - 670. What is r(2)? -6 Let l(f) = -f**3 - 7*f**2 + 4*f - 26. What is l(-9)? 100 Let o(m) = m**3 - 5*m**2 - 26*m + 86. Give o(3). -10 Let v(w) = 9685*w + 48432. What is v(-5)? 7 Let h(u) = 5*u**2 + 197*u + 107. Determine h(-39). 29 Let t(p) = -2*p**2 + 218*p + 1133. Determine t(114). -7 Let x(n) = 5*n**2 - 411*n - 2087. Give x(-5). 93 Let v(m) = -96*m**2 + 389*m - 8. What is v(4)? 12 Let v(l) = l**3 + 31*l**2 + 62*l - 974. Calculate v(-8). 2 Let x(s) = -63*s - 3529. Give x(-61). 314 Let q(v) = 2*v + 51. Calculate q(-26). -1 Let g(r) = -2*r**3 + 21*r**2 - 57*r + 362. What is g(10)? -108 Let t(v) = v**2 + 26*v - 1523. What is t(-54)? -11 Let z(k) = -k**2 - 282*k + 2534. What is z(9)? -85 Let m(d) = d**2 + 300*d - 3287. Give m(11). 134 Let i(c) = 3*c**2 + 19*c - 29. Calculate i(-7). -15 Let m(j) = 3733*j - 7474. What is m(2)? -8 Let j(y) = -2*y**3 + 3*y**2 + 16*y - 75. Calculate j(0). -75 Let j(n) = -54*n**2 - 8*n + 2. Calculate j(-1). -44 Let r(v) = 47*v + 363. Give r(-6). 81 Let t(d) = 179*d - 3221. Give t(18). 1 Let o(w) = 2*w**3 + 576*w**2 + 6634*w + 119. What is o(-12)? -1 Let l(v) = -751*v + 297. Calculate l(1). -454 Let o(f) = -23*f - 14. What is o(1)? -37 Let o(q) = 120*q**2 + 24601*q + 185. Give o(-205). -20 Let p(i) = -7*i + 193. Calculate p(65). -262 Let g(q) = 2*q**2 + 22. Give g(-8). 150 Let l(a) = -a**3 + 13*a**2 - 9. Calculate l(13). -9 Let v(m) = 76*m - 462. Give v(3). -234 Let i(r) = 2*r**3 - 7*r**2 + 32*r - 74. What is i(4)? 70 Let r(b) =
{ "pile_set_name": "DM Mathematics" }
= 0.01 - -0.19. Let b = u - w. What is the closest to 2/5 in 0.3, -4, b? 0.3 Let z = -73 + 72. Let u = 0.12 + -0.08. Which is the nearest to 1? (a) z (b) 2/11 (c) u b Let s = -10.46 - -7.46. What is the nearest to -2 in -2, -2/7, 2/5, s? -2 Let s = 3.5 - 0.5. Let a = 45/22 - 247/110. What is the nearest to -3/2 in s, 2, a? a Suppose 4*f - 2 = 10, -3*w - 2*f + 9 = 0. Let j = 0.46 - -0.04. Let i = j - 0. Which is the nearest to w? (a) -4 (b) i (c) 0.3 b Let j be 6/(-4) - (-11 - -9). Let l = 10 + 7. Let t = l - 15. Which is the closest to t? (a) 3 (b) j (c) -3 a Let z = -366 - -365. Suppose 0 = -5*n + n. Which is the nearest to n? (a) -2 (b) z (c) -0.1 c Let f = -14 + 71/5. Let l = -37/6 + 107/18. Let i = 11561 - 11561.2. Which is the nearest to f? (a) 2 (b) l (c) i c Let s = 87.3 - 87.2. What is the closest to -0.5 in s, 0.5, -0.11, -5? -0.11 Suppose 0 = 4*s + 4*p + 31 - 11, 4*p = -2*s - 20. Let u be 1 + 52/(-60) + s. Let o = -0.25 - 4.75. Which is the nearest to -2? (a) o (b) 0.2 (c) u c Suppose 268 = 6*x + 244. Which is the closest to x? (a) -5 (b) -2 (c) 4 c Let i = -3 - -1. Let r = -6.1 - -6.147. Let w = 0.347 - r. What is the nearest to 1 in w, -0.3, i? w Suppose 2*l - 2*t = 12, 0*t + 15 = -5*l - 4*t. Let j = 13.6 - 14.6. Which is the closest to -3/2? (a) l (b) j (c) -2/13 b Let o = 29.872 - -0.328. Let v = -29 + o. Let f = 1.4 - v. What is the nearest to 1 in 3/2, 5, f? 3/2 Let t = 1.11 - 1.21. Which is the closest to 2/7? (a) 1 (b) t (c) 7.3 b Let j be (-14)/(-78) + 2/(-6). Let t = -60432.5 + 60433. Let h = 2 - -1. What is the nearest to 0 in h, t, j? j Let o = -0.2 + -38.8. Let r = 35 + o. Which is the nearest to -1/5? (a) -3/5 (b) 0 (c) r b Let u be 230/1265 - (-58)/44. What is the nearest to -5/7 in u, -5, 9? u Let t = 67 - 59. Suppose -16*f + 18*f + t = 0. Which is the nearest to 0? (a) 3 (b) f (c) -5 a Let u be 1/3*3/(-252). Let k = -125/252 + u. Which is the closest to 1? (a) 4 (b) -7/2 (c) k c Let a(b) = -b**3 + 50*b**2 - 5*b + 248. Let h be a(50). What is the closest to 0 in -5, -1/7, h? -1/7 Suppose -3*q - 14 = -8. Let i(v) = v**3 + 2*v**2 - 1. Let p be i(q). Let y be (-8)/(-12)*(-3)/(-2). Which is the nearest to y? (a) 2/11 (b) p (c) 5 a Let g be 6/(-21) + (-120)/(-28). Let v be g - 2 - 12/10. Which is the nearest to -2/7? (a) v (b) 4 (c) 0.2 c Let x = -0.3 + 0.3. Suppose 5*q - 29 + 14 = 0. Which is the closest to x? (a) q (b) 6/7 (c) 1 b Let z = 1300.091 - 1298. Let u = -0.009 - z. Let f = -2 - u. Which is the nearest to f? (a) -1 (b) -1/4 (c) -0.4 b Let u = -0.02 + 1.02. Let i = -177 - -179. What is the closest to u in i, -2/11, 1/4? 1/4 Let w = -1.57 + -1.19. Let h = 0.76 + w. What is the nearest to 1 in h, -4, 1? 1 Suppose 2*n + 4*w = -22, 5*n + 2*w - 7*w - 5 = 0. Which is the nearest to 4? (a) -0.2 (b) n (c) -1/8 (d) -4 c Let z = -3 + 3.02. Suppose 20 = -96*w + 86*w. Which is the closest to 1/4? (a) -0.5 (b) z (c) w b Let l = 288.4 - 289. Which is the closest to -0.2? (a) 0.5 (b) 6 (c) 1/6 (d) l c Let f = -0.2 + -0.8. Let q = -5 + 12.6. Let h = q + -4.6. What is the nearest to f in h, -0.08, 0.1? -0.08 Suppose -7*f - 5*u = -6*f - 8, f = -2*u - 1. Let v be (-21)/9*(-2)/f. Let s = -0.3 + 0.2. What is the closest to v in 5, s, 0.2? s Let x = 0.21 - 0.01. Let v = 0.3 - x. Let w = -245.9 - -246. Which is the closest to v? (a) w (b) 1/4 (c) -9/4 a Let x = 3.2 + -0.2. Let m be 2 + ((-12)/3 - -1). Let r = 8.3 + -8.3. Which is the nearest to r? (a) x (b) m (c) -0.5 c Let u = 202 - 200. What is the closest to 1/4 in 1, u, 1.5? 1 Let z = -2714/9 - -302. What is the closest to 1/2 in 1/285, z, -3? z Let h = 5.8 + -6. Let s = h + -0.2. Let i = 41 - 38. Which is the closest to 0.2? (a) -3 (b) s (c) i b Let u = -0.7 - -2.6. Let r = u + -2. Let z = 1533 + -1530. What is the nearest to r in -2, 2, z? -2 Let p = -41.07 + 41. What is the closest to 0 in 2/17, -3, p? p Let m = -5 + 4.9. Let h = 1260 + -1261. Which is the closest to h? (a) m (b) 1 (c) -0.4 c Let n be 1 + 18/5 - 64/(-160). Suppose 3 = -n*w - d, 5*w - 4*d + 3 - 15 = 0. Which is the nearest to 0.3? (a) w (b) -7 (c) 4 a Let o = -139.9 - -144.9. What is the closest to 0.2 in 3, o, -0.5, 2/15? 2/15 Let j = -1180 + 5897/5. Which is the nearest to -3/4? (a) j (b) 1/6 (c) -0.06 a Let z = 1447 + -1439. What is the nearest to -2/7 in -1, -0.2, z? -0.2 Let l = 2.711 - 0.011. Let o = l - 2.6. Which is the closest to 0.2? (a) o (b) -3 (c) 0.4 a Let f = 1580 + -1569. Which is the nearest to f? (a) 1 (b) 12 (c) -1/3 b Let r = -0.22 - -0.5. Let n = -0.12 - r. What is the nearest to 1 in 1, 2/3, n? 1 Suppose 2*b - 196 = -2*b + 4*t, -t = 5*b - 215. Let w be 15/10 + (-58)/b. Let n = 0.37 + 2.63. What is the closest to n in -2, 1/5, w? 1/5 Let m = -18.39 + 0.39. Let a = m + 17.9. What is the nearest to a in -0.3, 0, -3? 0 Let f = 4 - 2. Let l = 1.5 + -1. Let j = l - -1.5. What is the closest to j in f, 1/2, 1? f Suppose -p = -3*v - 4*p, p + 5 = 0. Suppose -62 = -3*l - 4*q, -2*l = -0*q + 2*q - 40. Let j be (-94)/l - (3 - 8). What is the nearest to j in -4, v, -2? -2 Let b = 2944 - 2945. Let x = 0.2 + -2.2. What is the nearest to b in 2, x, 0.5? x Let u = -3.61 - -7.61. What is the nearest to u in 0.2, -6, -4? 0.2 Let d = -0.33 + 2.83. Let b = d - 4.5. What is the closest to b in 6, -3/5, 5? -3/5 Let t = -5 + 3. Let r = -4 - 1. Let u = 96.4 - 96. What is the nearest to 1 in r, u, t? u Let g = 154 + -292. Let z = 130 + g. Which is the nearest to -1/2? (a) 0.3 (b) -2/7 (c) z b Suppose -5*u = -5*g - 2*u + 14, -5*u = 2*g - 18. Suppose n = -4*o + 11 + 3, g*n - 2 = 2*o. What is the closest to -1 in n, 1/5, 8/7? 1/5 Let k = 19 + -19. Suppose 6*m - m - 10 = 0. Let j be 8/12*m/8. Which is the closest to j? (a) 0.5 (b) k (c) 4 b Let l = 249 + -147. Let w = -100 + l. What is the closest to w in -4, -8, -0.2? -0.2 Let p = 9.11 + -3.11. Let i = -71 - -70.9. What is the nearest to 0 in -2/7, p, i? i Let i = -28.4 + 28.8. Which is the closest to 1? (a) i (b) 5 (c) -4/7 a Let a = -288.2 + 324. Let z = a - 36. What is the closest to 1 in 20, z, 1/4? 1/4 Let i = -3.3 - 9.7. Let m = i - -11. Which is the closest to 0? (a) -4/3 (b) -1 (c) m b Let n = 69/413 + 7/59. What is the closest to -15 in -3, -5, n, -2? -5 Let s = 18.26 - 18.36. Let x = -34/15 - -1636/735. Let p = x - -16/49. Which is the nearest to s? (a) -3/4 (b) p (c) -0.2 c Let s = -2.213 - -0.213. Which is the nearest to s? (a) 3 (b) 4 (c) -72 a Let r be 3 + (-10)/(-10) - (-4)/(-1). Which is the nearest to -10? (a) -0.4 (b) 0.4 (c) r a Let v = 0 + 3. Let s = -4191/2 + 2096. Which is the closest to s? (a) 1.9 (b) v (c) -3 a Let a = 11321/21 + -539. Let j = -0.08 - -0.18. What is the closest to -1 in a, j, 4? a Let j = -5 - -5. Suppose -3 = -j*k - 3*k. Let w = -3 + 3.4. Which is the nearest to k? (a) w (b) -0.3 (c) -3 a Let l = 44 + -310/7. Let j = 27.758 + -25.758. What is the nearest to l in -2, j, 5? -2 Let v be (-3 - 3/(-1)) + 4. Let o be 1/2*v - (-7 + 11). What is the nearest to 1/2 in 0.3, o, -7? 0.3 Let a = 230 + -229.85. What is the nearest to -0.2 in 3/2, 1, a? a Let m be 1/(-3 + 2 + (-6)/3). What is the nearest to 51 in -4, m, 0.5? 0.5 Let m(t) = -t**3 + 9*t**2 + 11*t - 12. Let h be m(10). Let p be h + (8 + -2)/(18/4). Which is the closest to -1? (a) 1 (b) p (c) -1/3 b Let d(k) = -3*k - 53. Let s be d(-19). Let t = -29254 - -8922521/305. Let r = t + 2/61. Which is the closest to -3? (a) -4 (b) s (c) r a Let u be 6/(2 + (-32)/12). Let z be u/11 + (-2)/11. What is the nearest to -1/3 in 0, -7, z? 0 Let t be 10 + (-11 - -16 - 20). Let u = -0.4 - 0. What is the closest to -1 in -0.1, t, u? u Suppose 0 = v + 2*d + 7, -2*v - 16 = v + d. Let k = -237.1 - -227. Let m = 10 + k. Which is the nearest to m? (a) -1/6 (b) v (c) 0.3 a Let r = -30 - -15. Let t be (10/45)/((-35)/r). Which is the closest to -2/7? (a) t (b) 0 (c) 2/13 b Let r be 658/3 - (-4)/(-12). Let g = r + -143. Let f = 378/5 - g. Which is the closest to f? (a) 2 (b) -2/13 (c) 0.5 b Let d = 834 + -838. Let k = -2 - -7. What is the closest to 0.07 in k, d, 0.4? 0.4 Suppose 3*l - q = 78, -43 - 68 = -4*l - q. Let y = 22 - l. Let x be ((-4)/10)/(3/(-5)). What is the nearest t
{ "pile_set_name": "DM Mathematics" }
of -56*w + 7/3*w**4 - 19/2*w**2 + 0 + 0*w**3 + 0*w**5 - 1/30*w**6. What is the derivative of a(i) wrt i? -4*i**3 + 56*i What is the first derivative of -813 + 218 - 1312 - 1174*k**3 wrt k? -3522*k**2 Let g(r) be the third derivative of r**8/12 - 103*r**5/60 + 919*r**4/24 - r**3/3 - r**2 + 133*r. Find the second derivative of g(d) wrt d. 560*d**3 - 206 Let z(a) be the first derivative of -736*a**7/7 - a**3/3 - 1504*a - 1611. What is the third derivative of z(k) wrt k? -88320*k**3 Let f be 1*(-6 + 6) - -29. Find the second derivative of f*a**2 - 92*a**2 - 3004*a + 2914*a wrt a. -126 Let s(p) = 12507*p**3 + 9*p**2 - 3949. Let z(j) = -3127*j**3 - 2*j**2 + 987. Let f(l) = 2*s(l) + 9*z(l). Find the first derivative of f(m) wrt m. -9387*m**2 Let b(t) be the second derivative of 5737*t**3/6 - 3711*t**2/2 + 6570*t. Find the first derivative of b(p) wrt p. 5737 Let s(t) be the second derivative of -t**6 + 9*t**5/20 + t**4/6 + 272*t**3/3 - 382*t. What is the third derivative of s(l) wrt l? -720*l + 54 Let n be 8/4*(-3)/(-2). Suppose 0 = n*p + w - 17, -w + 5 - 16 = -4*p. What is the first derivative of -17 - 11*y**3 + 11*y**3 + 2*y**p wrt y? 8*y**3 Suppose 11*d = -17*d + 140. Find the second derivative of -158*c - 43*c + 214*c**d - 63*c**5 wrt c. 3020*c**3 Let z(i) be the first derivative of 8*i**3 - 3*i**2 + 15*i + 3. Let w be z(3). Find the third derivative of w - 213 + 3*q**3 + 3*q**2 wrt q. 18 Let k(z) be the second derivative of -2667*z**5/20 + z**4/6 - 29*z**3 + 3*z**2/2 - 1539*z. Find the third derivative of k(f) wrt f. -16002 Let l(g) be the second derivative of -515*g**4/6 + 908*g**3/3 + 971*g. What is the second derivative of l(o) wrt o? -2060 Differentiate 292 - 289 - 769*p**4 - 75*p**4 + 927 + 536 wrt p. -3376*p**3 Let s(k) = -k**3 + 6*k**2 - 5*k + 8. Let i be s(5). Let t = -2 + i. Find the third derivative of -4*u**6 + 8*u**2 - 6*u**6 - 3*u**t - u**2 wrt u. -1560*u**3 Let j(m) be the second derivative of m**3/2 - 13*m**2 + 25*m. Let f be j(10). Find the second derivative of -3*z**f - 17*z**5 + 3*z**4 - 8*z - 11*z wrt z. -340*z**3 Let z = 168 + -166. What is the second derivative of -4*b**3 - 2*b**4 + z - 4*b**4 - 27*b + 0 - 1 wrt b? -72*b**2 - 24*b Let l be (-75)/45*6/(-5). Find the third derivative of -52*d**3 + 66*d**2 + 44*d**2 + 23*d**l wrt d. -312 Find the second derivative of 14*d**2 + 19*d - 14*d**2 + 1697*d**3 - 11 + 0 - 9 wrt d. 10182*d Let g(r) be the first derivative of 729*r**2/2 - 449*r - 2150. What is the derivative of g(n) wrt n? 729 Find the first derivative of -92 + 217 - 578*v**2 - 627*v**2 - 112 + 397 wrt v. -2410*v Let j(z) = -3350*z**2 - 12*z - 6. Let t(o) = 1675*o**2 + 2*o + 2. Let c(r) = 2*j(r) + 5*t(r). What is the second derivative of c(p) wrt p? 3350 Let i(s) be the first derivative of -2389*s**2 - 4253*s + 11118. Find the first derivative of i(c) wrt c. -4778 Let x(f) be the second derivative of -85*f**3/3 - 9*f**2 + 1429*f. What is the first derivative of x(j) wrt j? -170 Let l = 12 - 10. Suppose -l*p + 11 = 2*p + b, -5 = -3*p - 4*b. What is the second derivative of -17*i + 15*i - 23*i**p + 8*i wrt i? -138*i Let g(w) be the second derivative of -20*w**7/3 - w**6/6 + 1067*w**3/6 - w**2 + 6214*w. Find the second derivative of g(j) wrt j. -5600*j**3 - 60*j**2 Let i = -51 - -140. Let g = 89 - i. What is the derivative of -8 + g*v**2 + 53 + 6*v**2 wrt v? 12*v Find the first derivative of -276 + 25*f**3 + 230*f**3 + 44 + 1 - 470 wrt f. 765*f**2 Find the second derivative of -3*x**3 + 6*x**2 + 786*x - 1569 - 231 - 411*x + 32*x**5 - 374*x wrt x. 640*x**3 - 18*x + 12 Let t = -124 - -94. Let l be (t/7)/(1 + 51/(-42)). What is the third derivative of -3*a**6 + 12*a**3 + 8*a**3 + 45*a**2 - l*a**3 wrt a? -360*a**3 What is the second derivative of -238*t**2 + 497*t**2 - 250*t**2 - 155*t**4 - 85*t**4 + 3164*t wrt t? -2880*t**2 + 18 Find the second derivative of 253*f**3 - 5*f**2 - 349*f**3 + 3*f**2 - 187*f**3 - 1628*f - 545*f**3 wrt f. -4968*f - 4 Let u(k) = 19*k**3 + 279*k**2 + 2517*k. Let c(m) = 41*m**3 + 553*m**2 + 5036*m. Let s(d) = -6*c(d) + 13*u(d). Find the second derivative of s(w) wrt w. 6*w + 618 What is the third derivative of j + 69 - 4*j + 10*j**2 + 74 + 5*j - 5371*j**5 - 224 wrt j? -322260*j**2 What is the derivative of 1288*z**2 + 1842 + 3431 + 620*z**2 wrt z? 3816*z What is the third derivative of -432*x + x**4 - 433*x + 863*x + 10*x**5 - x**4 + x**4 + 8*x**6 - 95*x**2 wrt x? 960*x**3 + 600*x**2 + 24*x Let m(f) be the third derivative of 295*f**8/112 + f**4/24 - 134*f**3/3 - 835*f**2. What is the second derivative of m(i) wrt i? 17700*i**3 Let r(u) = -14*u**4 + 5*u**3 + 7*u**2 - 25*u - 5849. Let d(t) = -6*t**4 + 2*t**3 + 3*t**2 - 12*t - 2924. Let a(z) = 5*d(z) - 2*r(z). Differentiate a(y) wrt y. -8*y**3 + 2*y - 10 What is the second derivative of 68 + 116*s**2 - 5*s + 2*s + 849*s**2 - 233*s**2 + s wrt s? 1464 Let j = 13 - 8. Suppose 5*h - 65 = -4*f, 0 = -h - f - j + 18. What is the first derivative of 37 + 6 + h*l - 8 wrt l? 13 Let i(o) be the first derivative of -657*o**6/2 + 2278*o**3/3 - 267. What is the third derivative of i(g) wrt g? -118260*g**2 Let b(j) be the first derivative of 2*j**5/5 + 96*j**4 - 2918*j**2 - 149. What is the second derivative of b(i) wrt i? 24*i**2 + 2304*i What is the third derivative of 136*w**3 - 1173*w**6 - 131*w**3 - 5*w**3 + 8*w**2 wrt w? -140760*w**3 What is the derivative of 235 - 135*z**3 - 87 + 94 + 22*z**3 wrt z? -339*z**2 Differentiate 352 + 64*d**2 + 2763 - 67*d**2 - 436*d wrt d. -6*d - 436 Let y(u) = 2303*u**2 + 185*u - 3492. Let z(a) = 1151*a**2 + 74*a - 1747. Let q(s) = 2*y(s) - 5*z(s). Differentiate q(f) with respect to f. -2298*f Let d(o) = -o**3 - 4*o**2 + 4*o - 1. Let t be 1/7 - 72/14. Let b be d(t). Find the first derivative of 22 + 18*q**2 + 0*q**2 + b*q**2 wrt q. 44*q Suppose -25*x = 8*x. Let v(a) be the third derivative of 2*a**3 + 1/20*a**5 + x + 0*a + 0*a**4 - 7*a**2. Differentiate v(o) with respect to o. 6*o Let m(f) be the first derivative of -595*f**2 - 857*f + 572. Find the first derivative of m(j) wrt j. -1190 Let j(i) be the first derivative of -71*i**5/60 + 16*i**3 - 36*i**2 + 101. Let v(z) be the second derivative of j(z). Differentiate v(f) with respect to f. -142*f Let p = 0 - -38. Let n = p - 28. Find the second derivative of -6*b**4 + n*b**4 + 12*b - 5*b**4 wrt b. -12*b**2 Suppose -3*h = 2*d - 17, -h + 17 = 5*d - 6. Suppose p - d = -p. Find the third derivative of 40*i**3 + 10*i**2 + 3*i**p - 40*i**3 - 15*i**6 wrt i. -1800*i**3 What is the second derivative of 123*c**4 - c**5 + 407*c**4 + 625*c - 1611*c wrt c? -20*c**3 + 6360*c**2 Let h(d) be the second derivative of -15/4*d**4 - 102*d + 0*d**3 + 101/20*d**5 + 3/2*d**2 + 0. What is the third derivative of h(i) wrt i? 606 Let p(k) be the second derivative of -3294*k**5/5 + 139*k**4/12 + 53*k**3/6 - k + 8843. Find the third derivative of p(q) wrt q. -79056 Let i be 1/(-2) - (-10)/4. What is the third derivative of 3*a**2 - 32*a**5 + 4*a**i - 3*a**2 - 7*a**2 wrt a? -1920*a**2 Let k(m) = 1038*m**2 + 317. Let a(r) = -5190*r**2 - 1584. Let c(z) = 3*a(z) + 14*k(z). What is the derivative of c(s) wrt s? -2076*s Let h(m) = -105*m**4 - 7*m**2 + 7*m + 47. Let n(y) = y**2 - y + 1. Suppose -2*g + 10*g + 16 = 0. Let x(b) = g*h(b) - 14*n(b). Differentiate x(q) wrt q. 840*q**3 Suppose -5*d = -2*w - 25, 13 = d - 6*w + 4*w. Let r be (-3)/(-27)*3 + 14/d. What is the third derivative of -17*j**2 - j**5 - 5*j**5 - j**r - 5*j**5 wrt j? -720*j**2 What is the second derivative of -2579 + 6*t - 4*t - 5733*t**3 + 4968 - 2554 wrt t? -34398*t Let p(v) be the second derivative of 11*v**6/3 + 329*v**3/2 - 12*v - 7. What is the second derivative of p(o) wrt o? 1320*o**2 Find the first derivative of 792 + 587 + 182*u**3 + u**2 + 1031 - 818 + 904 wrt u. 546*u**2 + 2*u Let n(c) be the first derivative of 3/2*c**6 - 2*c**3 - 2/7*c**7 + 0*c + 39 + 0*c**4 + c**2 + 0*c**5. What is the third derivative of n(y) wrt y? -240*y**3 + 540*y**2 Let g(m) be the first derivative of -4224*m**5/5 - 881*m**3/3 - 4719. What is the third derivative of g(b) wrt b? -101376*b Let s(m) be the first derivative of -3061*m**4/4 - 928*m**2 + 2469. Find the second derivative of s(d) wrt d. -18366*d Suppose 5*m = 4*p - 146, p - 124 = 4*m + 5*p. Let c = m
{ "pile_set_name": "DM Mathematics" }
25*r + 9*r + 112. -16*r + 47 Collect the terms in 11820*u**3 - 28855*u**3 + 7982*u**3. -9053*u**3 Collect the terms in 30322074 + 4788*u - 30322074 - 4902*u. -114*u Collect the terms in -209494210576 + 3*d + 209494210576. 3*d Collect the terms in 1553*n**3 - 772*n**3 - 714*n**3. 67*n**3 Collect the terms in -425*q**2 - 1351 + 2709 - 1358 - 436*q**2 + 858*q**2. -3*q**2 Collect the terms in 2*a - 466 - 499*a**3 + 494*a**3 + 2141. -5*a**3 + 2*a + 1675 Collect the terms in -47157*c + 23324*c + 23484*c. -349*c Collect the terms in -17 - 321786*g**3 + 17 + 321781*g**3. -5*g**3 Collect the terms in -197 + 197 + 63547*a**3. 63547*a**3 Collect the terms in 4*b - 327 + 1301 - 325 - 17*b - 319 - 326 + 12*b. -b + 4 Collect the terms in -2358320*n - 2*n**2 + 4716651*n - 2358331*n. -2*n**2 Collect the terms in -41465*l + 15683*l - 40438*l + 4555*l. -61665*l Collect the terms in 241500*l - 20*l**2 - 724460*l + 241481*l + 241479*l. -20*l**2 Collect the terms in -16 + 17 - 1 + 954226*o. 954226*o Collect the terms in 13598 - 179 + 3721 - 61*p + 49262. -61*p + 66402 Collect the terms in -g + 0*g - 1568 + 3*g + 0*g - 7*g. -5*g - 1568 Collect the terms in 364*x - 32*x - 1294*x - 1282*x + 107*x. -2137*x Collect the terms in -299*j - 13*j**2 + 53*j**2 - 88*j - 39*j**2 - 107*j. j**2 - 494*j Collect the terms in 33355*w - 8340*w - 8339*w - 8357*w - 8346*w - 2. -27*w - 2 Collect the terms in 3864578 - 66*w - 3864578. -66*w Collect the terms in -971*m**3 + 2514*m**3 - 1550*m**3. -7*m**3 Collect the terms in 38014373*x + 1 - 38014359*x - 7 + 6. 14*x Collect the terms in 185048*k**2 - 110410*k**2 + 2503547*k**2. 2578185*k**2 Collect the terms in 77966*y**2 - 27 - 20463*y + 2*y**3 - 77966*y**2 + 27. 2*y**3 - 20463*y Collect the terms in 196*h**2 - 1943*h**2 - 50*h + 281*h - 527*h**2. -2274*h**2 + 231*h Collect the terms in 22*c**2 + 22*c**2 + 116*c**2 + 21*c**2 - 201*c**2 + 15*c**2. -5*c**2 Collect the terms in -911*p**2 + 1176*p**2 + 6*p + 7*p - 13*p. 265*p**2 Collect the terms in -438*k**2 + 429*k - 92*k**2 - 1374*k + 474*k + 471*k. -530*k**2 Collect the terms in -62815923 + 31407897 + 31408026 - 6*n. -6*n Collect the terms in 1610*k**2 + 671*k**3 - 3222*k**2 + 1609*k**2 + 431*k**3. 1102*k**3 - 3*k**2 Collect the terms in -26 + 39470*h + h**2 - 32 + 83 - 25 - 39470*h. h**2 Collect the terms in -8 - 14 - 55*f**3 - 28*f + 25 + 75*f**3. 20*f**3 - 28*f + 3 Collect the terms in 43*m + 4*m - 13*m - 16*m - 13*m. 5*m Collect the terms in -25*m + 7 - 1 + 4 + 21*m + 7. -4*m + 17 Collect the terms in -2203238*g + 142 - 142. -2203238*g Collect the terms in -17 - 50 - 12 + 121 - 34 - 8*v + 11*v. 3*v + 8 Collect the terms in -1357*o + 132509 + 1141*o - 132509. -216*o Collect the terms in -92*f**2 - 9*f**3 + 92*f**2 + 25*f**3 - 17*f**3 + 23*f**3 - 23*f**3. -f**3 Collect the terms in 4*t - 36*t**3 - 25429*t**2 - 25427*t**2 + 50856*t**2. -36*t**3 + 4*t Collect the terms in -9*n**2 + 4422*n**3 - 2196*n**3 - 7*n**2 + 18*n**2 - 2*n**2 - 2220*n**3. 6*n**3 Collect the terms in -q**2 - q**2 - 17 + 6*q**2 - 8*q**2 + 9*q**2 - 2*q**2. 3*q**2 - 17 Collect the terms in -1 + 4 + 359*v**3 - 3 - 422*v**3. -63*v**3 Collect the terms in -82*a**2 + 192*a**2 + a + 147*a**3 - 82*a**2 - a. 147*a**3 + 28*a**2 Collect the terms in -5*o + 7*o - 15*o - 428307*o**3. -428307*o**3 - 13*o Collect the terms in -4*l**3 + 3603*l**2 - 736*l**2 - 1436*l**2 - 1431*l**2. -4*l**3 Collect the terms in -1870 - 29*u + 3760 - 1896. -29*u - 6 Collect the terms in -3507*h**2 + 10509*h**2 - 3500*h**2 - 3502*h**2 + 7*h**3. 7*h**3 Collect the terms in -2210*d**3 - 84 + 2132*d**3 + 46 + 38. -78*d**3 Collect the terms in 16625*d**2 - 16624*d**2 + 215*d**3 - 8880*d**3. -8665*d**3 + d**2 Collect the terms in 3051 + 81*p**2 - 353*p**2 - 404*p**2. -676*p**2 + 3051 Collect the terms in 38 - 814*s + 26 - 208 + 812*s. -2*s - 144 Collect the terms in 826*l**2 + 1304*l**2 - 2115*l**2. 15*l**2 Collect the terms in -2720*z - 5544*z - 5547*z. -13811*z Collect the terms in -5*q**3 + 19044*q + 316*q - 19360*q - 7*q**3. -12*q**3 Collect the terms in 48*g + 441 - 934 + 478 - 396*g. -348*g - 15 Collect the terms in -2035*o + 257 - 135 - 132. -2035*o - 10 Collect the terms in -400*w - 180*w**2 + 800*w - 183*w**2 - 181*w**2 + 546*w**2 - 427*w. 2*w**2 - 27*w Collect the terms in 25 - 201 + 176 - 1733*w. -1733*w Collect the terms in 4 - 4624598*p**2 + 2*p**3 - 4. 2*p**3 - 4624598*p**2 Collect the terms in 5*p - 48 + 6*p - 4*p - 20 + 92. 7*p + 24 Collect the terms in -74*y**2 + 630*y**2 + 557*y**2 + 4*y. 1113*y**2 + 4*y Collect the terms in -11532*q + 62816*q**3 + 11532*q. 62816*q**3 Collect the terms in -199*j**3 + 403*j**3 + 2721*j**2 - 3*j - 2721*j**2 - 210*j**3. -6*j**3 - 3*j Collect the terms in 774*d**2 - 4 + 13 + 765*d**2 - 9 - 1488*d**2. 51*d**2 Collect the terms in -36534*k**2 - 36454*k**2 + 73010*k**2. 22*k**2 Collect the terms in -1104*d - 4 + 3 - 1 + 3 - 1439*d. -2543*d + 1 Collect the terms in -103*s**2 - 102*s**2 - 6*s - 89*s**2 + 291*s**2. -3*s**2 - 6*s Collect the terms in 227*x - 37*x - 43*x - 25*x**2 + 19*x**2 - 42*x - 44*x - 56*x. -6*x**2 + 5*x Collect the terms in 1379 + 1410 + o**3 + 1408 + 57*o**2 - 4197. o**3 + 57*o**2 Collect the terms in -48515 + 48515 + a - 1536*a**2 - a. -1536*a**2 Collect the terms in -369*a**2 + 341605 - 683169 + 341564. -369*a**2 Collect the terms in -162 + 736*d**3 - d**2 + 2*d**2 - 1465*d**3 + 740*d**3. 11*d**3 + d**2 - 162 Collect the terms in -4*p**2 + p**2 + 3*p**2 + 10594*p**3 - 10773*p**3. -179*p**3 Collect the terms in 16*z - 27 - 5539*z**3 + 27 + 5514*z**3. -25*z**3 + 16*z Collect the terms in -765 - 2972*r - 1078*r - 724 + 1489. -4050*r Collect the terms in 193*g + 193*g + 181*g + 193*g + 190*g - 935*g. 15*g Collect the terms in 29 - 82*j**2 + 16378*j + 65*j**2 - 16378*j. -17*j**2 + 29 Collect the terms in 150485 - 504*w - 75243 - 75242. -504*w Collect the terms in -53*c**2 - 30 + 64 - 26*c + 25*c. -53*c**2 - c + 34 Collect the terms in 2 + 3 + 20407*l**2 - 3 - 20197*l**2. 210*l**2 + 2 Collect the terms in 43*b**3 + 32*b**3 + 67*b**3 + 18*b**3 - 12*b**3. 148*b**3 Collect the terms in -2 - 1181*y + 2. -1181*y Collect the terms in 2244*i**2 + 1840*i**2 - 4055*i**2. 29*i**2 Collect the terms in -120 - 48*d - 50*d + 5 + 1 + 116. -98*d + 2 Collect the terms in 431*v**3 - 1270*v**3 + 413*v**3 + 427*v**3. v**3 Collect the terms in 203*n**2 - 86*n**2 + 5*n**3 - 126*n**2 + 6. 5*n**3 - 9*n**2 + 6 Collect the terms in 268 + 73*g**2 + 182*g**2 + 376*g**2 + 269 - 536. 631*g**2 + 1 Collect the terms in -151 + 58 + 29 + 30 + x**3 + 34 - 20*x. x**3 - 20*x Collect the terms in -2*o + 12*o**3 - 4*o**3 - 9*o**3 + 3*o - 5*o**3 + 5*o**3. -o**3 + o Collect the terms in 26 + 2310*t - 24 - 212*t + 113*t + 2032*t. 4243*t + 2 Collect the terms in 4*d - 1 - 1724*d**2 - 112192*d**2 - 4*d. -113916*d**2 - 1 Collect the terms in 2*o**2 + 879*o**3 + 35*o + 56*o - 187*o + 97*o. 879*o**3 + 2*o**2 + o Collect the terms in 6335 + 2*r**2 - 1362*r**3 + r**2 - 3*r**2 - 6337. -1362*r**3 - 2 Collect the terms in -17687*m**3 + 1011*m**2 - 1011*m**2 - 22215*m**3. -39902*m**3 Collect the terms in 12892 + 12895 + 12888 + 12884 - 51559 - 6*v**2. -6*v**2 Collect the terms in 349 - 1421 + 352 + 369 + 351 - 4*k**2 + 2*k**2. -2*k**2 Collect the terms in 71*x**2 - 531*x + 1928*x + 1939*x - 77*x**2 - 1. -6*x**2 + 3336*x - 1 Collect the terms in 899*w + 13 - 1349*w + 448*w. -2*w + 13 Collect the terms in 8859*y + 8851*y - 17690*y. 20*y Collect the terms in -294*k + 383*k**2 - 807*k**2 + 294*k + 388*k**2. -36*k**2 Collect the terms in -41776*w**2 - 554141*w**2 + 94494*w**2. -501423*w**2 Collect the terms in -47301*c - 18233*c - 10074*c - 21050*c. -96658*c Collect the terms in -10*u**2 - 56 + 4*u**2 + 10*u + 2*u**2. -4*u**2 + 10*u - 56 Collect the terms in 15*n**2 + 428 - 426 - 139*n - 83*n. 15*n**2 - 222*n + 2 Collect the terms in 895*j + 1408*j - 3168*j + 1653*j - 2. 788*j - 2 Collect the terms in 519*g - 68*g**2 + 8*g**2 - 2*g**3 + 31*g**2 + 29*g**2. -2*g**3 + 519*g Collect the terms in -16*m + 16*m + 138426 - 382924 - 4*m**3. -4*m**3 - 244498 Collect the terms in -3482*n**2 - 3 - 802*n**2 + 4515*n**2 + 3. 231*n**2 Collect the terms in 9 - 9*n - 17*n + 48*n - 18*n - 8*n - 22. -4*n - 13 Collect the terms in 2*l**2 - 197 + 118187*l - 59127*l - 590
{ "pile_set_name": "DM Mathematics" }
q + 23 + 6. List the prime factors of q. 3 Let k = -370 - -1492. What are the prime factors of k? 2, 3, 11, 17 Suppose 4*y = -y. Let p = 3 + y. Suppose -u = -3*c + 86, -2*c + 5*c + p*u = 78. List the prime factors of c. 2, 7 Suppose 0 = 3*t - 2*m - 10, 2*t + 4*m + 20 = -0*m. Suppose t = -i - 3 - 1. Let u = i + 19. What are the prime factors of u? 3, 5 Let s = 97 - -8. What are the prime factors of s? 3, 5, 7 Let a(n) = 403*n + 338. What are the prime factors of a(4)? 2, 3, 5, 13 Let z(u) = u**2 + 1. Let y be z(13). Suppose t - 65 = 5*f, -5*t + y = -f - 155. What are the prime factors of t? 5, 13 Let v(s) = s**3 - 8*s**2 - 2*s + 18. Let p be v(12). Suppose -p - 900 = -5*q. List the prime factors of q. 2, 3, 7 Let r(w) = -8*w**3 - 3*w**2 - 2*w. Let u be r(-1). Let d(i) = 4*i - 8. Let k be d(u). Suppose -3*y = y + g - k, y - 12 = -2*g. What are the prime factors of y? 2 Let h = 10 + -8. Suppose -w - 5*a + 37 = 0, 0 = -w - h*a + a + 25. Let c = 38 - w. List the prime factors of c. 2 Let o = 5 + 0. Let d(a) = 3*a**2 - 13*a + 39. Let u be d(6). Suppose v = -5*g + 223, -4*g + u = o*v - 101. List the prime factors of g. 3, 5 Let d(z) = 64*z + 965. List the prime factors of d(70). 3, 5, 11 Suppose 3*x + 9 + 3 = 0. Let p be -2*1/(x/14). Suppose -4*w - 2*j + 114 = 0, -4*w + p*w = -4*j + 93. List the prime factors of w. 3 Let p(x) = x**2 - 3*x - 15. Let d be 3/(-3) + 3*2. Suppose 6*w + 7 = d*w. What are the prime factors of p(w)? 5, 11 Let v = 1557 + -908. What are the prime factors of v? 11, 59 Suppose -s + 8 = -12. List the prime factors of 3416/20 - 1*(-4)/s. 3, 19 Let n = 73 - 131. Let t = n + 71. What are the prime factors of t? 13 Let b = -1721 + 7425. List the prime factors of b. 2, 23, 31 Suppose 3*z - 1 - 2 = 0. Let u be (z/2)/(8/80). Suppose u*o - m = 150, -3*o + 2 = -3*m - 88. What are the prime factors of o? 2, 3, 5 Suppose 0 = -15*o + 350 - 50. What are the prime factors of o? 2, 5 Let y be (-16)/(-32)*16*17. Suppose 11*o = 9*o + y. What are the prime factors of o? 2, 17 Let s be ((-20)/(-6) + -3)*-6. Let j be 3 - (s + (-1)/1). What are the prime factors of j/2 + 6*1? 3 Let g be ((0/2)/(-2))/2. Suppose 2*v - 3*y + 33 = -g*y, 2*v + 12 = -4*y. Let c = 3 - v. What are the prime factors of c? 3, 5 Suppose 3*s = -f - 12, -3*s - 2*s = 4*f + 13. Suppose -2*x - g = -x - 3, 2*g = -f*x + 8. Suppose x*b + 108 = 5*b. What are the prime factors of b? 2, 3 Let l(b) = b**2 + b - 3. Let a be l(2). Let p be 151/3 - (-1)/(-3). Suppose -4*j = -n - p, -3*j + j + a*n = -20. What are the prime factors of j? 13 Let s(w) = w**3 + 35*w**2 - 43*w - 190. What are the prime factors of s(-31)? 4987 Suppose 4*i = 0, -z + i + 154 = 6*i. Suppose -20*l + z = -6*l. List the prime factors of l. 11 Let z(j) = 13 - 2*j + 2*j + 4*j - 3*j. List the prime factors of z(9). 2, 11 Let s be (-1)/2*(-10 - (-1 + 1)). List the prime factors of ((25/4)/s + -2)*-128. 2, 3 Suppose o + 4*o = 0. Suppose -5*y + 10 = o, 2*y - 37 - 43 = -2*w. Suppose -37*h = -w*h + 24. What are the prime factors of h? 2, 3 List the prime factors of (2/(-9)*-3)/((-76)/(-4674)). 41 What are the prime factors of 7*162 + 0*1/7? 2, 3, 7 Let u be (90/3)/(3/(-8)). Let w be 17/(-2)*(-6 - 8). Let v = w + u. What are the prime factors of v? 3, 13 Suppose -s = -180 + 70. Suppose -5*v = -4*c + s + 235, 426 = 5*c - v. List the prime factors of c. 5, 17 Suppose 0 = -2*m - 3*n - 132, n + 4*n + 266 = -4*m. Let h(j) = 4*j**2 + 23*j - 8. Let l be h(-6). What are the prime factors of l*2/12*m? 23 Suppose -3*i + 538 = x + 161, -2*x + 752 = 5*i. What are the prime factors of x? 7, 53 Suppose 0 = -5*h - 0*h + 1775. What are the prime factors of h? 5, 71 Suppose 5*s + 5*t = -25, s + 2 = -3*s + 2*t. What are the prime factors of 35*((s - -5) + 0)? 3, 5, 7 Let z = 3409 - -585. List the prime factors of z. 2, 1997 Let p(x) = 37 - 37 - 55*x. What are the prime factors of p(-1)? 5, 11 Let t(b) = -5*b**2 - 5*b + 836. List the prime factors of t(0). 2, 11, 19 Suppose 417 = 4*r - j - 60, j + 357 = 3*r. What are the prime factors of r? 2, 3, 5 Let k be (-58)/2 + (-6)/(-2). Let z = k + 25. What are the prime factors of (76/16)/(z/(-12))? 3, 19 Let s = 109 - 110. What are the prime factors of (54 + -1)/(s + 2)? 53 Let x = -29 - -171. Suppose 4*p - 402 = x. What are the prime factors of p? 2, 17 Suppose 0 = -14*m + 12*m. Suppose -n + s + 100 = m, 3*n + 2*n + 4*s - 518 = 0. What are the prime factors of n? 2, 3, 17 Let j(z) be the third derivative of -z**6/120 - z**5/10 + 4*z**3/3 - z**2. Let n be j(-6). What are the prime factors of (2/(-3))/(n/(-612))? 3, 17 Let r be (-8)/4*10/(-4). Suppose -2*v - 67 = -r*v + 5*n, 2*v - 4*n - 46 = 0. Suppose -v = 2*w - 111. What are the prime factors of w? 2, 23 Let a = 7 + -10. Let g be 6/((18/(-4))/a). Suppose g*s - 8 = n, 2*n + 2*s = s + 20. What are the prime factors of n? 2 Suppose 0 = a - 2*a - 4*p, -3*p - 23 = -5*a. Suppose -b + 2*b = 2, i + a*b - 3 = 0. List the prime factors of (-177)/i - 12/30. 5, 7 Suppose -3*k = -7*j + 2*j + 22, 4*k - 4 = 0. List the prime factors of 1/j + (-158)/(-10). 2 Let s(o) = -2*o**3 + 15*o**2 - 2*o + 6. List the prime factors of s(7). 41 List the prime factors of 5/(-25) + 2/((-60)/(-59766)). 2, 3, 83 Suppose 5*l + 5*z - 11393 = 6762, 2*l = 3*z + 7277. What are the prime factors of l? 2, 23, 79 Suppose 6*q - 2*q = 88. Suppose z - c + 0*c - q = 0, -5*z = -3*c - 102. Suppose -d - 21 = -2*d - 3*a, -d + z = 2*a. What are the prime factors of d? 2, 3 Suppose -5*t - r + 448 = 0, -t - 2*r + 9 = -86. List the prime factors of t. 89 Suppose 355*p + 117623 = 392*p. List the prime factors of p. 11, 17 Suppose 27 + 17 = 4*g. Let i(t) = 2*t**2 - 19*t - 15. What are the prime factors of i(g)? 2, 3 Let v = 91 - 86. Suppose -o - 5*s = o - 175, -v*s = 4*o - 325. List the prime factors of o. 3, 5 What are the prime factors of ((-65)/(-52))/((-4)/(-48))? 3, 5 List the prime factors of ((-17)/(204/3474))/(3/(-4)). 2, 193 Let t(s) = -s - 2. Let g be t(-3). Let u(v) = 83*v**3 - v. Let a be u(g). Suppose 5*h - 28 = a. What are the prime factors of h? 2, 11 Let z(h) = -48*h + 25. Let c be z(10). What are the prime factors of ((-16)/5)/(14/c)? 2, 13 Let a = -52 - -55. Suppose -4*k + 88 + 28 = 4*i, -a*k - 177 = -5*i. What are the prime factors of i? 3, 11 List the prime factors of 13*13*5*(-247)/(-95). 13 Let c = 19 - 13. Suppose 2*z - c*z - k + 56 = 0, 5*k = 3*z - 19. List the prime factors of z. 13 Let p = 73 + -73. Suppose s = 3*u - 373, u - 123 = 3*s - 2*s. Suppose 5*f + 25 - u = p. What are the prime factors of f? 2, 5 Suppose 0 = 2*j, 2*j + 12 = -s + j. Let d(m) = -16*m - 37. What are the prime factors of d(s)? 5, 31 Let a(c) = -2*c + 18. Let o be a(9). Suppose o*y - 25 = -y. What are the prime factors of y? 5 Suppose -186 + 3042 = 8*t. Suppose 3*d = 2*b + b - t, -3*b + 351 = 3*d. What are the prime factors of b? 2, 59 Let k(s) = -s + 1. Let v be k(0). Let r(d) = -4*d - 1. Let x be r(v). Let b(z) = z**3 + 6*z**2 + 5*z + 3. List the prime factors of b(x). 3 Let c(w) = 54*w**3 - 2*w**2 - 16*w + 32. What are the prime factors of c(2)? 2, 53 Suppose 2*v + 21*b = 18*b + 103, -4*v + 3*b = -233. List the prime factors of v. 2, 7 Suppose 3*y + 2061 = 3*n, 4*n + 2*y = 3*y + 2739. Suppose -x - 5*t + 182 = -t, 5*t - n = -4*x. List the prime factors of x. 2, 83 Let y = 70 + -64. Let j(c) = 5*c**2 - 8*c + 7. What are the prime factors of j(y)? 139 Let f = -21 - -21. Suppose -5*q - 500 = -f*q. Let u = q + 147. List the prime factors of u. 47 Let s be ((-6)/9)/(2/(-3)). Let d be 13 + -10 - 1/s. Suppose -134 = -5*q - h, -4*q + 79 = -q + d*h. List the prime factors of q. 3 Suppose -5*i - i = 12. Let n be ((-4)/10)/(2/(-10)). What are the prime factors of (i + -3 + n)*-3? 3 Suppose 4*x + 2*i - 514 = 0, 0 = x + 5*i - 2*i - 136. Suppose -930 = -7*s + x. What are the prime factors of s? 151 Suppose 3*v = 2*j - 439, -j = 4*v - 0*v - 247. Suppose 5*h - j = 173. What are the prime factors of h? 2, 5 List the prime factors of -4 - ((-941)/3 - 26/78). 2, 5, 31 Let w = -373 + 2873. List the prime factors of w. 2, 5 Suppose -21*z + 33984 = -2388. What are the prime factors of z? 2, 433 Suppose -2*u + 40 = 28. Let k(b) = 5*b + 5. What are the prime factors of k(u)? 5, 7 Suppose -2*j - 3*j - 20 = 0, 4*c - j - 48 = 0. Sup
{ "pile_set_name": "DM Mathematics" }
s the value of (-54)/(-27)*2/(-4)? -1 25/(-70)*63/(-30) 3/4 What is 4*3/(9*-4)? -1/3 What is the value of (((-15)/(-6))/5)/((-6)/(-36))? 3 0/((-4)/(-2))*21/21 0 Calculate (-1)/(-3)*1*15. 5 -4*7/42*-3 2 What is -7*((-2)/1)/(8/(-4))? -7 What is 0*(-6)/(-36)*3/(-9)? 0 Evaluate 5/20*2/(-1). -1/2 What is 1/(-1)*-1*48/16? 3 Evaluate 1*6*(-65)/520. -3/4 Calculate 0/(4/4*-5). 0 ((-1)/(-4))/(-9*(-9)/972) 3 (5*33/(-440))/((-6)/(-4)) -1/4 What is 6/26*8/60*5? 2/13 (-30)/(-40)*-2*2 -3 306/1190*(-15)/9 -3/7 Calculate ((-8)/4)/((-1)/(-5)*2). -5 What is (1/(-1))/(7*(-4)/(-28))? -1 What is (((-91)/(-39))/(-7))/(1/3)? -1 32/(-160)*0/(-1) 0 (40/(-144)*-3)/((-5)/(-4)) 2/3 What is the value of ((-3)/9)/((-6)/6)*0? 0 Calculate (-45)/60*(-1)/3. 1/4 What is the value of ((-185)/(-111))/((-4)/6)? -5/2 Evaluate (-540)/72*1*4/6. -5 Calculate (1512/(-315))/((-6)/10). 8 Evaluate ((-21)/(-77))/((-12)/8). -2/11 (75/(-60))/((-3)/12) 5 What is the value of (-28)/7*1/((-1)/1)? 4 What is the value of (-1)/1*0/((-21)/(-3))? 0 (-2)/3*-9*4/(-204) -2/17 What is the value of (-440)/(-60)*6/4? 11 What is ((-3)/9)/((-2)/(-6))*4? -4 3/((-5)/(-2)*(-15)/(-25)) 2 Evaluate 2/((-40)/36)*10/(-3). 6 Calculate (-1)/1*0*5/(-20). 0 (74/(-111))/(1*-1) 2/3 (((-18)/(-63))/2)/((-1)/(-2)) 2/7 8*((-1)/(-7))/(48/84) 2 Calculate ((-6)/4)/(-1*(-24)/128). -8 What is (2/(-4))/(12/(-216))? 9 What is (936/(-60))/(-13)*5/2? 3 Calculate (-3)/(36/(-21)*5/(-20)). -7 What is ((-100)/(-225))/(14/9)? 2/7 ((-2)/(-4))/((-63)/(-42)) 1/3 What is the value of (-141)/(-94)*3*2? 9 What is the value of ((-3)/(-27))/((18/(-3))/6)? -1/9 What is ((-6)/(-4))/((-6)/(-4))? 1 Evaluate ((16/(-4))/4)/1. -1 Calculate 28/(-49)*(-14)/4. 2 What is the value of (-25)/(-100)*(-8)/(-1)? 2 Evaluate (12/54*12)/((-4)/6). -4 (-12*(-7)/126)/((-4)/(-18)) 3 What is (40/(-160))/((-1)/(-2))? -1/2 What is (5*(-1)/(-6))/(6/(-36))? -5 Evaluate (3/12)/(3/(-36)). -3 What is the value of ((-7)/(-280)*-5)/((-15)/(-20))? -1/6 What is 9*(63/108)/(-7)? -3/4 What is (-6)/(-5)*150/135*-3? -4 Calculate 1/((-6)/(-8))*42/14. 4 Calculate ((-4)/5)/(66/15). -2/11 What is the value of (1*12/(-30))/(4/20)? -2 What is the value of ((-24)/(-32)*-1)/9*9? -3/4 What is (2/(-6)*-12)/10? 2/5 What is the value of 4/24*-8*(-9)/(-6)? -2 Evaluate 4/(((-39)/(-78))/(1/(-1))). -8 What is 1/1*(77/1)/(-11)? -7 Evaluate ((-5)/55*7)/(1/(-11)). 7 Calculate (13/(-39))/(1/36*2). -6 ((-27)/144)/(5/((-20)/3)) 1/4 What is (0/(25/(-5)))/(3/3)? 0 What is the value of 4/(-15)*(-10)/12? 2/9 Evaluate (-1)/(-20)*(35/14)/1. 1/8 Calculate (((-8)/(-2))/8)/6. 1/12 Calculate (-88)/55*(-10)/(-4). -4 Evaluate (2*(-10)/40)/(-1). 1/2 Calculate (-20)/(-225)*15/6. 2/9 100/30*(-3)/(-2) 5 What is 1*(-2)/4*8? -4 What is 2/4*15/(-30)? -1/4 What is the value of (-2)/8*40/30? -1/3 Evaluate 10*-1*(-4)/(-20)*-1. 2 What is ((-2)/6)/((-2)/(90/3))? 5 What is the value of ((-20)/(-14))/(-2)*148/370? -2/7 (-3)/2*-12*(-32)/(-144) 4 Calculate (9/(54/4))/((-2)/3). -1 What is -7*1/(12/12)? -7 Calculate -3*2*40/(-48). 5 Calculate (12*2/8)/(-3). -1 What is the value of ((8/(-1))/(-2))/(12/6)? 2 What is (15/2)/(-5)*(-16)/168? 1/7 Evaluate 1/3*49/(-98). -1/6 (5/10)/((-2)/8) -2 Calculate -2*10/((-150)/15). 2 Evaluate 1/(3/(-3))*188/47. -4 What is the value of (-9)/(-2)*(-4)/(-36)? 1/2 Evaluate (-24)/(-8)*(-26)/(-507). 2/13 Calculate 4/21*(-354)/236. -2/7 -2*((-10)/(-50))/((-14)/(-10)) -2/7 Evaluate 340/136*(-8)/90. -2/9 Evaluate 33/22*(-1)/((-9)/30). 5 Calculate 176/55*(-2)/8. -4/5 What is the value of ((-64)/(-320))/((-2)/12*2)? -3/5 Calculate ((660/50)/11)/(9/(-60)). -8 (4/(-6))/((-24)/30) 5/6 Evaluate (-125)/50*(-4)/5*-2. -4 What is (((-9)/2)/3)/(4/8)? -3 (4/(-10))/(((-14)/(-7))/(-20)) 4 Evaluate ((-11)/374)/((-8)/((-32)/(-1))). 2/17 Calculate -5*6/270*12/(-2). 2/3 What is the value of (-4)/((5*(-20)/(-25))/(-2))? 2 Calculate (1*1/6)/(147/84). 2/21 What is (-14)/(-70)*(-5)/6*-5? 5/6 What is the value of 6/(3*(-9)/2)? -4/9 ((-27)/(-27))/((-2)/((-4)/(-14))) -1/7 What is ((-10)/195)/(1/3)? -2/13 What is the value of 36/4*(-2)/6? -3 Evaluate (84/98)/(10/7). 3/5 Evaluate 2/(-50)*44/(-22). 2/25 Evaluate (4/(-2))/6*6/1. -2 What is the value of 8/10*20/104*-1? -2/13 Evaluate ((-3)/(27/(-6)))/(248/(-24)). -2/31 What is the value of ((-64)/(-3))/8*(-9)/4? -6 Evaluate (2/8)/((-273)/364). -1/3 Calculate ((-5)/45)/(((-5)/2)/(-5)). -2/9 What is (-15)/(150/20)*(-1)/(-23)? -2/23 Evaluate -5*(114/(-76))/((-6)/(-4)). 5 Calculate (-4)/(-3)*(-195)/(-104). 5/2 (9/5)/(285/(-950)) -6 What is (2/4)/((-21)/12*-1)? 2/7 Calculate 10/(-4)*(-88)/(-110). -2 Evaluate 1/(-2)*0/5. 0 Evaluate 6/(-8)*(-7)/(-21). -1/4 Calculate -12*(-3)/189*-3. -4/7 What is 1*2*22/110? 2/5 What is (36/(-99))/((8/(-4))/(-1))? -2/11 Evaluate -3*(1/(-63))/((-19)/57). -1/7 What is the value of 1*(-8)/(-42)*(-225)/150? -2/7 Calculate (12/((-60)/5))/(14/6). -3/7 What is the value of (30/25)/((-4)/20)? -6 Calculate (6/(-10))/(-4*(-18)/(-1080)). 9 What is (6/3)/1*2? 4 Calculate ((-1)/2)/((-8)/16). 1 (4/3)/(2750/(-375)) -2/11 Calculate 4*((-9)/42)/(28/98). -3 What is the value of (10/((-560)/(-42)))/(15/8)? 2/5 18/(-27)*(-4)/(-8) -1/3 What is the value of ((-4)/(-7))/(-3*(-12)/(-126))? -2 What is the value of ((-1)/16*-8)/((-4)/48)? -6 What is the value of 8/(-28)*(-70)/40? 1/2 What is -4*(-6)/4*14/(-14)? -6 Calculate (264/96)/(-11)*4*-5. 5 What is 3*63/(-84)*4/(-3)? 3 0/1*(-12)/(-24) 0 Calculate (2/18)/((-44)/132). -1/3 What is the value of ((-5)/7)/(33/231)? -5 (18/63)/(1/(-7)) -2 What is (-18)/(-12)*28/(-7)? -6 (-3*(-2)/(-8))/((-462)/(-112)) -2/11 Calculate (6/(-5))/((-10)/10*-2). -3/5 Calculate (-4*(-12)/32)/(-1). -3/2 Evaluate (1/5)/(51/85). 1/3 What is the value of -7*3*(-14)/(-49)? -6 What is 10/(-6)*-1*3/1? 5 What is the value of (1/(-1))/((-9)/(-45))? -5 4*(-6)/72*-12 4 Calculate (-4)/10*7/(-7)*-10. -4 What is 195/117*-1*3? -5 Evaluate (1/3)/(56/(-24)). -1/7 What is (-1*90/(-9))/(-1*2)? -5 What is the value of ((35/(-42))/(-5))/((-10)/(-12))? 1/5 0/(-1)*(-38)/152 0 What is the value of 0/(-1)*(-5)/20? 0 Evaluate 1088/408*3*1. 8 What is ((-1)/(-4))/((-4)/((-96)/10))? 3/5 What is (((-56)/35)/8)/(-2)? 1/10 Calculate ((-18)/168)/((-9)/36). 3/7 What is (((-1)/(-12))/((-10)/20))/(-1)? 1/6 Evaluate 8/20*20/32. 1/4 What is the value of (32/(-8))/4*-5*1? 5 (1/(-5))/(42/490*2) -7/6 Evaluate (((-45)/20)/9)/(1/2). -1/2 What is (-28)/8*(-50)/(-175)? -1 Calculate 1/1*((-6)/6)/9. -1/9 Evaluate ((-2)/1)/((-24)/3). 1/4 What is the value of (1/1)/(-2*11/66)? -3 What is (8/((-56)/7))/(1/2)? -2 2*1*-2*(-4)/(-8) -2 What is (-44)/(-33)*(-1)/6? -2/9 Calculate 3*8/((-96)/(-20)). 5 (8/(-66))/(16/(-24)) 2/11 What is ((-2)/(-8))/((-15)/(-300))? 5 Calculate (-1)/((-5)/75*5). 3 Calculate (-2)/7*9/81*9. -2/7 Calculate (-24)/(-45)*6/8. 2/5 What is (((-15)/(-3))/5)/(4/(-6))? -3/2 What is ((-21)/(-7))/(1/1)? 3 Evaluate ((-10)/4)/(((-121)/(-11))/(-22)). 5 Evaluate 0*12/96*-4. 0 What is (2/2)/(5*(-3)/(-75))? 5 (4/12)/(22/(-44)) -2/3 Evaluate ((-1)/((-1)/(-3)))/(12/(-12)). 3 What is the value of 70/21*(-3)/(-45)? 2/9 Calculate (-144)/660*(-35)/(-14). -6/11 Calculate ((-30)/495)/(6/(-9)). 1/11 Evaluate ((-120)/(-18))/(-4)*(-6)/2. 5 What is the value of 8*12/40*45/18? 6 Calculate 7/((-7)/(-6))*2/42. 2/7 (2/((-5)/(15/2)))/1 -3 What is the value of 1*8/((-48)/(-18))? 3 3/3*-2*2/26 -2/13 6*2/8*(-32)/(-16) 3 Evaluate ((-8)/((-20)/5))/2. 1 Evaluate (-6)/(70/(-5)*-1). -3/7 (3/(-6))/((-3)/(-30)) -5 Calculate 12/42*(-4)/2. -4/7 What is ((-2)/44)/(5/(-60))? 6/11 What is the value of (-33)/1232*-8*2? 3/7 (-4)/(-1)*(-7)/21 -4/3 Evaluate 4/24*(-15)/10*4. -1 What is the value of 12/8*(-16)/96? -1/4 What is 2/1*(-80)/(-400)? 2/5 What is (-64)/48*(-3)/(-7)? -4/7 Calculate (36/(-28))/(11/(-77)). 9 (-23)/23*20/5 -4 What is ((-2)/2*2)/((-43)/86)? 4 25/(-75)*6/(-5)*-10 -4 1/((6/(-2))/(36/12)) -1 Evaluate (4/(-10))/(22/33). -3/5 ((-4)/(-10))/((-26)/(-130)) 2 What is the value of (-36)/10*(-45)/(-18)? -9 Evaluate (-10)/1*(-2)/(-4). -5 What is the value of (12/(-10))/(-1*3/1)? 2/5 33/24*38/209 1/4 What is (-1)/((-6)/(-30)*1)? -5 What is (66/11)/(2/(-1))? -3 What is the value of (4/(-15))/((-60)/(-150))? -2/3 What is the value of ((480/(-495))/32)/((-1)/6)? 2/11 (6/(-3))/(-2)*2/(-2) -1 Calculate (-54)/81*1/(-2). 1/3 0/2*(-4)/8 0 Ev
{ "pile_set_name": "DM Mathematics" }
- 295389/20720. Let s = r - -27963/592. Let p = s - 1729/36. Find the common denominator of p and 31/21. 63 Let h = -85155/13 - -28103711/4290. Find the common denominator of -71/105 and h. 2310 Let i = 9155557/83739090 + 2/266685. Calculate the common denominator of 61/60 and i. 9420 Let z be 21731281/1364286 - (-6 - -16). Let w = 17592990/2953 + -17873/3. Let j = z - w. What is the common denominator of j and 25/32? 224 Let g = -157062 - -3058311263/19472. Let l = 261191840290453/147344624 - 1166409411/658. Let f = g - l. Find the common denominator of -3/4 and f. 92 Let c = 229/1320 + -13/40. Let k = -6870923/45 - -768432/5. Let n = 993 - k. What is the common denominator of c and n? 99 What is the common denominator of (2 - (-10957)/(-4872)) + (-69)/(-161) and -71/3? 696 Find the common denominator of (-62)/(-236520)*802 + 0 + (-22)/110 and -49/8. 47304 Suppose 0 = 6*u - 5*u - 4*v - 159, 3*u = 4*v + 461. Calculate the least common multiple of u and 6. 906 Calculate the common denominator of 16464/(-9180) + (-4)/34 and 13/25. 225 Let w be (108/20)/(9/30). Suppose -3*g = 5*a - 40, -22*a = -w*a - g - 49. What is the least common multiple of a and 9? 99 Let k = -911 - -1372. Let o = 3619/8 - k. What is the common denominator of 53/50 and o? 200 Suppose -465 = 8*v + 943. Find the common denominator of -38/33 and 2276/v - 12/(-66). 132 Let i(p) = -2*p + 4. Let d be i(-4). Let v be d/(-10)*129815/(-14). Let r = v - 178121/16. What is the common denominator of r and 55/18? 144 Find the common denominator of 13 + 25333/(-1190) + 14 - (0 - -6) and 50/731. 7310 Suppose -5*c = -5*p - 25, -3 = -3*p - c - 2. Let x = -3295 - -36193/11. Find the common denominator of p*70/861*-6 and x. 451 Find the common denominator of 23/54 and (1 + (-6)/(-4))*(-1100)/169500. 6102 Let r(a) be the first derivative of a**3/3 - 13*a**2/2 - 15*a - 3. Let x be r(14). What is the common denominator of x/6 + 140/(-225)*-3 and 43/11? 110 Let m(z) = -z**2 - 31*z - 84. What is the lowest common multiple of 1224 and m(-25)? 13464 Calculate the common denominator of 31/8406 and (595/(-7))/(5*6*(-4)/15). 33624 Let u be (-2)/4 + 42/12. Suppose -4*o + u*s = -42, -6*o = -3*o + s - 38. What is the least common multiple of o and 64? 192 Let n = -262/15 - -911/45. Suppose 4*f = 5*x - 2*x, 5*x + 4*f = 0. What is the common denominator of n and 17/(-1)*((-28)/40 - x)? 90 Let x = -100639/5 + 3844419/191. What is the common denominator of 59/1528 and x? 7640 Let b be (-775)/275 - (-4)/(-22). What is the lowest common multiple of ((-648)/(-252))/(b/(-14)) and 20? 60 Let c be (-208)/(-24) - (-4)/(-6). Suppose 74 = c*l + 50. What is the least common multiple of 97 and l? 291 Let p = 124273 - 233633221/1880. Let c = p - 957/752. Calculate the common denominator of 37/25 and c. 400 Let x = 88236 - 88222. What is the least common multiple of x and 3*5/((-15)/(-22))? 154 Let d = 2123 - 2099. Calculate the lowest common multiple of 2007 and d. 16056 Let c(a) = 347*a + 136. Let l be c(9). Let x = l + -12953/4. What is the common denominator of x and -31/8? 8 Suppose 1 + 47 = 3*p. Suppose -109*t + 6 = -115*t. Calculate the least common multiple of (t/3)/(1 - 26/24) and p. 16 Suppose 0 = -5*h - g + 74, h = 5*h + 4*g - 72. Let y(f) be the first derivative of -39*f**2/2 - 40*f - 136. Calculate the lowest common multiple of h and y(-2). 266 Let c = -3 + 28. Suppose 32*m = c*m + 315. Calculate the least common multiple of 10 and m. 90 Calculate the smallest common multiple of 909 and 22 + ((-19)/(-38))/(2/(-4)). 6363 What is the common denominator of (2*2/(-3330))/((-282)/4465) and 34/81? 2997 Let v be (2 - -47)/7 - 15. Calculate the smallest common multiple of (-10 - (v - -18))*2*-1 and 64. 320 Let n = 67 - 69. Let s be 42/(n + 2 + 2). What is the common denominator of -109/22 and -3 - s*(2865/(-1332) + 2)? 1628 Let l = -54210631/6738885 - -1/149753. Let y = l + 184/15. Find the common denominator of y and 137/30. 90 Let t = -3509 - -3919. What is the least common multiple of 369 and t? 3690 Let q = -891219/82 + 54344/5. What is the common denominator of -115/4018 and q? 20090 Let d be 62/((-15 - -5)/(-5)). Let y = -13 + d. What is the lowest common multiple of 18 and y? 18 Let d(z) = 27*z**2 - 99*z + 36. Let u(y) = y + 3. Let p be u(-2). What is the common denominator of (p/(-4))/((-4)/198) and d(1)? 8 Let c = 96139 + -17112691/178. Calculate the common denominator of 115/28 and c. 2492 Suppose 14*z = 9*z + 285. Let f = -227090/21 + 10817. Calculate the common denominator of f and 4/18 - z/(-18). 126 Suppose 7*f + a - 5312 = 5*f, 3*f = -5*a + 7996. Calculate the lowest common multiple of 2 and f. 2652 Let s = 1/19063 + 1277167/1029402. What is the common denominator of s and 43/120? 1080 Let r(i) = -786*i**2 - 81*i + 8. Let b be r(6). Let t = -2301889/80 - b. Find the common denominator of -61/60 and t. 240 Let y(r) = 9*r**2 - 8*r - 7. Let p be y(3). Suppose 8*m = p + 14. What is the least common multiple of m and 32? 32 Let f = 20 - 18. Suppose -4*d = f*l, l + 2*l + 2*d + 4 = 0. Find the common denominator of -13/14 and 2/(-8)*-405*l/(-10). 28 Let w(t) = -2*t**3 + 9*t**2 + 11*t - 3. Let k = 17 - 12. Let i be w(k). Suppose i - 9 = 2*s. What is the lowest common multiple of s and 77? 693 Let f be (519/21 - -1) + 2/7. Calculate the common denominator of -143/60 and (-15)/25*(-13)/36*f. 60 Let p = 2/104421 - -361435882/313263. Let f = p + -663847/576. Calculate the common denominator of f and 388/30*(0 + (-50)/120). 576 Let o(g) = g**3 - 23*g**2 - 2*g + 48. Suppose -2*t - 7 + 81 = 0. Let f = t + -14. Calculate the smallest common multiple of o(f) and 7. 14 Let g = 24563984347/10 - 2444369599. Let v = g + -12017780. Let y = -11045 + v. Find the common denominator of -95/48 and y. 240 Let v(r) = 3*r**3 - 8*r**2 - 15*r + 20. Let t be v(6). Let z = t - 268. Calculate the least common multiple of 24 and z. 264 What is the common denominator of -149/72 and (1112/(-828))/(48/(-180)*5)? 1656 Let b = -38121 + 3049801/80. Calculate the common denominator of 7/52 and b. 1040 Let p(z) be the second derivative of -z**4/12 - 35*z**3/6 + 9*z**2 + 60*z. Suppose 0*h + 290 = 5*h. Calculate the least common multiple of h and p(-35). 522 Let a = -688649/368994 - -1485/691. Find the common denominator of a and 1/18. 1602 Suppose -5 = 5*x - 35. What is the least common multiple of 9*(x + 364/(-63)) and 4? 4 Let i(c) = 13912*c**2 + 3*c - 9. Let b be i(10). Let q = b + -8371763/6. Let n = 4061 + q. Calculate the common denominator of 44 and n. 6 Suppose -6 + 0 = 2*c. Let u(t) be the first derivative of 4*t**3/3 + 4*t**2 + 3*t + 11. What is the lowest common multiple of 9 and u(c)? 45 Let r = 9642 - 5838. Calculate the lowest common multiple of 16 and r. 15216 Suppose 16 = -c - 5*m, 0*m + 8 = -4*m. Let i be (-18)/(-27) + (-2)/c. Calculate the common denominator of -5/104 and 4 + i + (-67)/22. 1144 Calculate the least common multiple of 48 and (21/30)/7 - (-13661)/190. 144 Let p = 233 + -451/2. Find the common denominator of (10/(-4) - -3)*(15 + (-9240)/476) and p. 34 Suppose 0 = -5*k - 2*u + 101, 23 = 3*k + 3*u - 43. Suppose 0 = 3*o + 4*q - 38, -o + 2*o = 5*q - k. Calculate the lowest common multiple of o and 18. 18 Suppose j = 16 + 8. Suppose 15*y - 86 = 4. Suppose 0 = 2*o - 2*k - 44, 4*k + 52 = 2*o + y*k. Calculate the least common multiple of o and j. 24 Let y = 13/126 - 5767/2772. What is the common denominator of y and -3/10? 220 Suppose -3*x - 9 = 25 - 1057. What is the least common multiple of 2356 and x? 25916 Let h(f) = -2*f**3 - 4*f**2 - f + 2*f**2 - 1 - 3*f**2 - f. Let t = -2920 + 2928. What is the least common multiple of h(-3) and t? 56 Let b = 90567/280 - 1612/5. Calculate the common denominator of b and 43/748. 10472 Let d = 57/67 + -60149/71489. Let g = 83539/147246 - d. Find the common denominator of g and 41/27. 1242 Let z = 29324 + -29300. What is the lowest common multiple of 884 and z? 5304 Let y = 149 + -145. Suppose -5*b + 274 = -2*x, x = -b + y*x + 47. What is the lowest common multiple of b and 76? 1064 Let k = -42859/18 + 2383. Calculate the common denominator of k and -25/948. 2844 Let p(f) = 9*f**2 - 11*f - 10 + f**3 - 15 + 5 + 5. Let m be p(-10). Calculate the common denominator of ((-6)/m)/(1*16/22
{ "pile_set_name": "DM Mathematics" }
**2*u**2*z**3 + 5*l**2*z - 17*l*u**2*z**3 + 55*l*u**2*z**2 + 3*u*z**2 wrt z? -78*l**2*u**2 - 102*l*u**2 Find the first derivative of 41*c*j*m*n**2 + 2*c*j*m - 2*c*m - 5*m*n + 5*n**2 wrt j. 41*c*m*n**2 + 2*c*m Find the third derivative of 2*m**5 - 50*m**3*n - 17*m**3 + 3*m**2 - 79*m*n - 2*m wrt m. 120*m**2 - 300*n - 102 What is the derivative of -72*m*w**3 - 7*m*w + 642*m wrt w? -216*m*w**2 - 7*m What is the derivative of -38*r**4 - 664? -152*r**3 Differentiate -2*m*s**4 - 160*m + 118*s**2 with respect to s. -8*m*s**3 + 236*s Differentiate 5490*i**3*q**2 - 8439*i**3 - 2*i**2 + 2*i*q**2 wrt q. 10980*i**3*q + 4*i*q What is the third derivative of 183*a**3*j**3 - 4*a**3*j**2 + 9*a**3*j + 8*j**3 + 4*j**2 + 4*j wrt j? 1098*a**3 + 48 Find the second derivative of 336*o**2*y - 4*o**2 + 5*o*y + y - 120 wrt o. 672*y - 8 What is the third derivative of 9399*s**3 - 1684*s**2? 56394 What is the second derivative of 4800*r**4 + 2740*r wrt r? 57600*r**2 Find the second derivative of 1304*c*h**2 + 15*c*h - 7*h wrt h. 2608*c Find the second derivative of 208*i**4 - 98*i wrt i. 2496*i**2 What is the second derivative of 2525*v**3 - 16182*v wrt v? 15150*v Find the first derivative of 51*l**2 + 12*l - 872. 102*l + 12 What is the third derivative of -16741*h**5 + 12262*h**2 wrt h? -1004460*h**2 What is the third derivative of -2*l**6 - 226*l**3 - l**2 - 18? -240*l**3 - 1356 Differentiate 94*o - 162 wrt o. 94 What is the derivative of -26159*f**3 - 19658? -78477*f**2 What is the second derivative of 889*q**2*u**2 + 7*q**2 + 18*q*u wrt u? 1778*q**2 What is the second derivative of 4*i*u**3*x + i*u**2*x - 4*i*u**2 + i*u*x - 2*i - u*x - 26*u wrt u? 24*i*u*x + 2*i*x - 8*i Differentiate -1496*h**3*t + 2*h**2 - h + 11*t - 498 wrt h. -4488*h**2*t + 4*h - 1 Differentiate -5*w**2 + 5*w + 82 with respect to w. -10*w + 5 What is the third derivative of -95*i**4 + 3*i**3 - 387*i**2? -2280*i + 18 Find the first derivative of 2*c**2*v**2 + 77*c**2*v - 136*c**2 + c wrt v. 4*c**2*v + 77*c**2 Find the second derivative of -12*p**4 - 35*p**3 - 5*p + 66 wrt p. -144*p**2 - 210*p What is the second derivative of -12*c**5 + 24*c**2 - 471*c? -240*c**3 + 48 Find the third derivative of -2993*j**6 - 614*j**2 wrt j. -359160*j**3 What is the derivative of 2*i*u**3*x**2 - 63*i*u**3 + u**3*x**2 - 4*u**3*x - 2*x wrt i? 2*u**3*x**2 - 63*u**3 What is the first derivative of -200*s - 97? -200 What is the third derivative of 11*c**3*g**2 - 2*c**3*g*s**2 - 2*c**2*g**2*s**2 - 4*c**2*g**2*s + 2*c**2*s + 2*g**2*s wrt c? 66*g**2 - 12*g*s**2 Find the third derivative of i**5 + 146*i**3 - 45*i**2 wrt i. 60*i**2 + 876 Differentiate 3*j*l**2 + 481*j + 4*l**2 with respect to l. 6*j*l + 8*l Find the second derivative of -270*q**2 - 5*q + 20 wrt q. -540 Find the first derivative of -509*u**4 - 896. -2036*u**3 Differentiate 1457*t**2 + 1399. 2914*t Find the first derivative of 13157*n - 6099. 13157 What is the third derivative of 7784*k**3*l - 2*k**2*l - 517*k*l wrt k? 46704*l What is the second derivative of -4*i**4*r**2 - 60*i**3*r**2 - 15*i*r**2 + 5 wrt i? -48*i**2*r**2 - 360*i*r**2 Differentiate -125*j**2 + 130 with respect to j. -250*j Find the second derivative of -k**5 + 2261*k**3 - 52*k + 28. -20*k**3 + 13566*k Differentiate h*j*p*v + 6*h*j*p + 2*h*p*v + 6*h*v + 17*j*p*v + 2*p*v wrt j. h*p*v + 6*h*p + 17*p*v Find the third derivative of 2283*i**3*q - 2*i**3 + 284*i**2*q + i + q + 2 wrt i. 13698*q - 12 What is the second derivative of t**4 + 2152*t**2 + 16063*t? 12*t**2 + 4304 What is the second derivative of -2*u**4 + 427*u**2 + 29*u + 3 wrt u? -24*u**2 + 854 Differentiate -1701*g**3 + g**2 + 1402 with respect to g. -5103*g**2 + 2*g What is the second derivative of f**2*r**2 - 9*f**2 + f - 3*r**5 - r wrt r? 2*f**2 - 60*r**3 What is the third derivative of -83*v**5 + 139*v**2 wrt v? -4980*v**2 What is the second derivative of -41*z**4 + 4*z**3 + 13*z**2 + 24*z - 156? -492*z**2 + 24*z + 26 What is the third derivative of 332*t**5 + t**4 - 2*t**3 - 17*t**2 - 250 wrt t? 19920*t**2 + 24*t - 12 What is the third derivative of 4504*r**4 - 2*r**2 + 6*r + 70? 108096*r What is the first derivative of -3792*w**2 + 6015 wrt w? -7584*w What is the third derivative of 298*v**6 - v**3 + 634*v**2? 35760*v**3 - 6 Find the second derivative of 10*r*w**2 - 201*r*w - 13*w**2 + 8*w wrt w. 20*r - 26 Find the third derivative of -150*f**3 + 171*f**2. -900 Find the third derivative of -2204*m**3 + 1293*m**2 + 2 wrt m. -13224 Find the third derivative of 820*j**3 - 6*j**2 + 8 wrt j. 4920 Find the third derivative of -161*a**2*n**3 - 2*a**2*n**2 - 78*a**2*n - 3*a*n**4 - a*n**2 - n**3 wrt n. -966*a**2 - 72*a*n - 6 What is the third derivative of 2*d**4*q + d**3*q**2*s - 8*d**3*s + 20*d**2*q + 2*d*q**2*s - 2*q*s wrt d? 48*d*q + 6*q**2*s - 48*s Find the third derivative of 1113*c**6 + 8*c**3 + 20320*c**2 wrt c. 133560*c**3 + 48 Differentiate 2821*y + 9996 wrt y. 2821 Find the second derivative of -5*k**3*t**3 + 51*k**3*t**2 - 2*k**3*t + 1242*k**2*t + 3*k*t**3 wrt t. -30*k**3*t + 102*k**3 + 18*k*t What is the third derivative of 1810*x**6 - 807*x**2 wrt x? 217200*x**3 Find the first derivative of 5232*u + 9559 wrt u. 5232 Find the second derivative of i**3*q**2 - 4*i**3*q + 4*i**3*v - i**3 - 15*i*o*q**2*v - o*q**2*v - 2*o*v wrt q. 2*i**3 - 30*i*o*v - 2*o*v What is the first derivative of 3*d**3*z**3 + 4*d**3*z**2 + 4*z**3 - 26*z wrt d? 9*d**2*z**3 + 12*d**2*z**2 Differentiate 30751*o - 29018 wrt o. 30751 What is the first derivative of 7*s**4*y - 2*s*y**3 + 23*s + 9*y**3 wrt s? 28*s**3*y - 2*y**3 + 23 What is the derivative of 9*a*d - 4*a*t**2 - 2*a + 1241*d*t**3 + d - 53 wrt t? -8*a*t + 3723*d*t**2 Find the second derivative of 7689*b**2*z**2 - b*z**2 - b*z - 28*b - 60*z**2 wrt b. 15378*z**2 Find the second derivative of -23*f**2*k + 3*f**2 - 73*f*k wrt f. -46*k + 6 What is the third derivative of -11*a**4 - a**3 - 8*a**2 + 5*a? -264*a - 6 What is the third derivative of 585*g**4 + 2*g**2 - 232*g wrt g? 14040*g What is the second derivative of 20*i**2*p**2 - 2*i**2*p + 2*i + 180*p**2 wrt i? 40*p**2 - 4*p Find the third derivative of -23*a**6*x - 3*a**3*x - a**2*x - 8*a**2 - 16*a*x + 3 wrt a. -2760*a**3*x - 18*x What is the first derivative of -4*h**2*y**3 - 13*h**2 + 3*h*y**3 - 2 wrt y? -12*h**2*y**2 + 9*h*y**2 Find the third derivative of 1194*d**3*r**3 + d**3*r**2 - 39*d**2*r - r**2 wrt r. 7164*d**3 What is the second derivative of 2*r**5 - 3*r**4 + 208*r**2 + 3803*r - 2? 40*r**3 - 36*r**2 + 416 Find the third derivative of 28*l**4 - 3*l**3 + 13*l**2 + 2*l wrt l. 672*l - 18 What is the derivative of -a**3*g*r - 3*a**3*g + 7*a**3*r + 3*a**3 wrt r? -a**3*g + 7*a**3 Find the third derivative of -b*x**5 + 2*b*x**3 + 21*b + 77*x**5 - 3*x**2 + 3 wrt x. -60*b*x**2 + 12*b + 4620*x**2 Differentiate 11*l*m - 3*l - 29*m - 1518 with respect to m. 11*l - 29 Find the second derivative of -146*f*h**2 + 247*f*h wrt h. -292*f What is the derivative of -100*a**4*s**2 - 82*s**2 - 2*s wrt a? -400*a**3*s**2 What is the second derivative of -3*y**5 + 33*y**3 - 1088*y wrt y? -60*y**3 + 198*y What is the first derivative of -68*j + 85 wrt j? -68 What is the first derivative of 6*s**2*t + 90*s**2 - s*t + 4 wrt t? 6*s**2 - s Find the third derivative of 217*g**4 + 2*g**2 - 27. 5208*g Find the third derivative of 1282*l**3 + 9*l**2 + 3*l wrt l. 7692 Find the first derivative of -1537*s - 232 wrt s. -1537 What is the second derivative of r**4*w*z - 2647*r**4*w + 6*r*w*z + 142*r + z wrt r? 12*r**2*w*z - 31764*r**2*w What is the third derivative of 32*v**5 - 60*v**4 - 3140*v**2 wrt v? 1920*v**2 - 1440*v What is the second derivative of -6*k**2*m**2 + 3*k**2*m - 2*k**2 + 4*k*m - 352*m**2 wrt m? -12*k**2 - 704 What is the third derivative of -441*f**3 + 280*f**2? -2646 What is the first derivative of -2012*h**2*x + 4*h**2 + 33*x + 17 wrt h? -4024*h*x + 8*h What is the derivative of -63*i - 176? -63 What is the derivative of f*i**2*r*s - f*i**2*s + 8*f*r + 18*f + i**2 + i*r - 3*r*s wrt r? f*i**2*s + 8*f + i - 3*s What is the first derivative of 101*h**2*m*t*x + h**2*m - h*m*x + 17*m*t*x + t*x + 13*t - 3*x wrt h? 202*h*m*t*x + 2*h*m - m*x What is the second derivative of 17*r**4*v - 88*r**3*v + 125*r*v + 10*v wrt r? 204*r**2*v - 528*r*v What is the first der
{ "pile_set_name": "DM Mathematics" }
is smaller: k or q? q Suppose 35*t - 3124 = 13*t. Suppose -285*y = -284*y - t. Which is smaller: 144 or y? y Let j = 17034 + -16882. Which is bigger: j or 50? j Suppose 5*k - v - 33 = 3*v, 3*v + 19 = -2*k. Is 132/245 <= k? True Suppose -3*n + 4 = 5*c, -15*n = -14*n + 2. Let f be (8/(-24))/(c/(-60)). Let j(h) = -2*h - 2. Let t be j(-5). Which is bigger: t or f? f Let j = -643 - 1448. Does -2091 = j? True Let f = 932 + -582. Let x = f + -6648/19. Let v(w) = -w**2 - 6*w + 1. Let y be v(-6). Which is smaller: x or y? x Let s = 4.4119 - 0.0119. Let l = 0.01 + -0.41. Let c = s + l. Is -1/3 greater than or equal to c? False Let q = 89 - 391. Let h = q + 934. Are 633 and h non-equal? True Let u(q) = 2*q**3 - 42*q**2 + 2*q + 1. Let a be u(21). Suppose -a*w = -65*w - 2794. Which is bigger: -123 or w? -123 Let j = -30.5 + 27.9. Let v = 13.557 - 0.157. Let c = j - v. Which is bigger: -2/5 or c? -2/5 Let j be (-42)/(-9)*18/7. Let v be -7 - (-7)/(42/30). Let u be (1224/(-24))/(9/v). Is j < u? False Suppose 0 = -v - 4*o - 1671, -2*v = -4*o + 9*o + 3348. Is -1679 greater than or equal to v? True Let m = 37 + -34. Let q(w) = -517*w + 3. Let y be q(0). Is m <= y? True Let y(u) be the second derivative of -1/20*u**5 + 4/3*u**4 + u**2 - 3*u**3 + 0 - 6*u. Let z be y(15). Is -42 smaller than z? False Suppose v - t + 2*t = 648, 3*v - 1948 = -2*t. Let w be v/940 - (-8)/(-10). Is w > -1? True Suppose 0 = -4*z + 5*f - 223, 4*z = 2*f - 3*f - 253. Let v be (-4365)/(-72) + (-6)/(-16). Let g = z + v. Which is smaller: g or -2? -2 Let x be 0 + 4872/20 + 0 + -6. Which is smaller: x or 239? x Let i(j) = 550*j - 917. Let x be i(6). Is x >= 2384? False Let n(v) = -5*v**2 + v + 6. Let o = -42 + 29. Let j(t) = -11*t**2 + t + 13. Let w(s) = o*n(s) + 6*j(s). Let f be w(-6). Is f less than or equal to 8? True Let w(z) = 23*z + 63. Let a(o) = 67*o + 189. Let c(k) = -4*a(k) + 11*w(k). Let p be c(-4). Is p at most -26/17? True Let z = 3120/26231 - 2/1543. Which is greater: z or -7/2? z Let g(y) = 7*y - 6*y - 4*y - 3*y + 9 + y**2. Let q be g(4). Let a = -196 - -1187/6. Which is smaller: a or q? q Suppose -3131*b = -3154*b - 1219. Which is smaller: b or -55? -55 Let b be 2516 - -39 - (7/(-14))/((-1)/10). Which is smaller: b or 2552? b Suppose 73*h = 211 + 53 + 685. Which is smaller: 119/10 or h? 119/10 Let h = -2775 + 3453. Which is bigger: 2/5 or h? h Let m be 635*(96/(-30) + 6). Are m and 1778 unequal? False Let h be (-7)/(70/(-1536)) - 58/(-145). Let b = h + -155. Let m = -505 - -10607/21. Which is smaller: m or b? b Let h = 559.0591 - 559. Let s = h - 9.1591. Which is bigger: s or 1/2? 1/2 Suppose 0 = 5*h - 3 - 7. Let l(s) = -7*s**3 - 16*s**2 - 10*s - 16. Let d be l(-2). Let j be 2 - (h - (d + 2)). Which is greater: -11/7 or j? -11/7 Let a = -3695 + 3700. Which is bigger: a or 5/146? a Let h(k) = k**3 + 8*k**2 + 7*k + 24. Let i be h(-7). Suppose l = -47 + i. Which is smaller: l or -26? -26 Let p be (18/(-1161))/(-2 - 24/(-9)). Let r = p - -181/387. Let f be (-2)/(-4) + 2/(-4). Which is smaller: f or r? f Let i = 286 - 286. Suppose -r + 0*r = 0, i = -4*j - r - 660. Is j <= -165? True Let g be (0 - -6) + (-20)/(-4). Let q be (33/g)/((-3)/197). Is q != -197? False Let d(w) = w**2 + 4*w + 5. Let g be d(-4). Suppose -5*r = -4*b + 47, -b + r + g = 2*r. Suppose 2*a = -3*f + 13, f - 2*f + b = -3*a. Which is bigger: 2/7 or a? 2/7 Let d be (-553)/(-4) - 4/(-96)*-6. Suppose 4*k + q - d = 0, -k + 27 = 5*q - q. Let t be 0 - k/10 - -4. Which is smaller: t or 20/11? t Let s = -7106 - -7106. Which is smaller: -1/5243 or s? -1/5243 Let n be 49 + -989 - (5 - 0). Let u = n + 370. Do u and 1/2 have different values? True Let f(p) be the first derivative of p**2/2 - 14*p + 12. Let z be f(8). Suppose 9*a - 7*a + 14 = 0. Which is smaller: z or a? a Let l(o) = 140*o + 1399. Let y be l(-10). Let r be 2 - -147*4/(-286). Does y = r? False Let q = 0.4185 - 0.0505. Let b = q + -0.298. Do b and 3/11 have different values? True Let g be 2472/492 + 4/(-1) - (7 - 6). Is -0.54 < g? True Suppose 0 = -5*f + 1 + 19. Let g = 2078/13 + -160. Is f equal to g? False Let j be 2238/(-9) + (-14)/42. Which is smaller: -256 or j? -256 Let w = 5828/229 + -1934670/9847. Let u = w + 171. Are u and -1 unequal? True Let w = 1136.4 - 1136.2. Which is bigger: -1369/6 or w? w Let g be 0/(2/(-5) - 8/5). Let x = 691 + -694. Is g < x? False Let y = -189.1 - -190. Let c = 1.9 - y. Let v be -4*((-186)/92 - -2). Do c and v have the same value? False Let m = 187 + -304. Let v be m/(-21) - 5 - 190/14. Is 2 at most v? False Let i = 14064 - 14065. Which is bigger: 9/1051 or i? 9/1051 Let s = -61 - -34. Let r = 60 + s. Let q = -32.9 + r. Is -10 less than q? True Let g be ((-9154)/69)/((-116)/(-12)). Which is greater: -14 or g? g Let u(t) be the second derivative of -t**4/12 - 5*t**3/6 + 7*t**2 - 6*t. Let o be u(-7). Suppose o*y = 3*y. Is y <= 1/16? True Let x be ((-2)/((-32)/20))/(6/(-96)). Let j be 7/(231/(-4))*2/x. Is j bigger than 1? False Suppose 0 = 4*q + 6 - 2. Let a = -281.6 - -34.6. Let p = a - -245. Which is smaller: q or p? p Let v = 12 + -11.92. Let t = -0.19 - v. Let c = t + 0.17. Which is bigger: c or 2? 2 Suppose 104*j = 89*j. Is j less than or equal to -686? False Suppose 20*y - f = 19*y - 1, 0 = 4*y - 5*f + 6. Which is bigger: -3/8392 or y? y Let l(i) = -i**2 + 4*i + 16. Let u be l(-8). Let b = u + 70. Is -2 > b? True Suppose 0 = -2*v + 4*k + 239 - 39, k = -2. Let a be (-4)/(-6) - 0 - 46/v. Let s(l) = l**3 - 14*l**2 + 14*l - 12. Let p be s(13). Which is greater: a or p? p Suppose -8*w = -38 - 42. Suppose -w*c + 12*c = 0. Suppose c = 5*p + 4*f + 42, -3*p + f + 4*f - 40 = 0. Which is bigger: 0.2 or p? 0.2 Let g be 204/136*(-8)/6. Let y = -271 + 244. Which is greater: g or y? g Let m = -1233/2 - -61647/100. Which is smaller: m or 0? m Let z be (2 + -1)*(-369)/(-9). Suppose -36*y + z*y + 185 = 0. Suppose -5*q = -3*i - 3*q - 111, i - 5*q + 37 = 0. Does i = y? True Let r = 0.00944 - -0.38146. Which is smaller: r or 0.1? 0.1 Let m = -2467 - -2483. Let c be 4/(-18) - (-411)/27. Is c <= m? True Suppose 166*s = 185*s - 608. Suppose 20 + 40 = -6*a. Let l be (-1560)/(-50) + 2/a. Is l not equal to s? True Let f be -6*(-5)/60*-298. Let m = 150 + f. Which is bigger: -1/11 or m? m Let a be 5 - 13 - (-1 - 1). Suppose 0 = 5*v - 5*p - 5, 5*v - 3*p = -p - 7. Which is bigger: v or a? v Let i(q) = -q**3 - 9*q**2 + 131*q - 84. Let a be i(-17). Is -1/4005 at least as big as a? False Let h = 30.66 - -1.34. Let v = -32.288 + h. Do -1 and v have the same value? False Let c(d) = 5*d + 28. Let o be c(-5). Suppose -o*y + 0 = 2*g - 14, g - 14 = -5*y. Is y greater than 139? False Suppose -206*i - 2*t = -207*i + 41, -5*i - 2*t + 145 = 0. Which is smaller: i or 4? 4 Let g = 147/338 - 231927/1690. Which is bigger: g or -136? -136 Let j be (-2)/(-7 - 28278/(-4041)*1). Is j >= 900? False Suppose 21*d - 110 = 43*d. Is d less than or equal to -15? False Suppose -3 = -8*r + 29. Suppose -r*y = -5*y - 41. Let v = y + 40. Are -2/69 and v equal? False Let c = -1855/4 - -471. Is c < -2/7? False Let z(l) = -465*l - 2303. Let c be z(-2). Which is bigger: -6866/5 or c? c Let l be 51/(-17)*(-1)/3. Let w be ((-3)/(-2))/((-57)/7562). Which is greater: l or w? l Let p = -1583/5 + 1260063/3980. Is -1 at least as big as p? False Suppose 4*a + 5 = 1. Let p be ((-9)/(-12))/(60/(-32)). Is p less than or equal to a? False Let a = -14753/2292840 - 2/5211. Which is greater: -1 or a? a Suppose -s = -2*s - w - 212, -4*s = -2*w + 842. Is -209 bigger than s? True Let n be ((-1 - -1) + 2)/((-6)/1914*-22). Which is greater: -38 or n? n Suppose -5857 = -4*q + 9031. Let m = q + -70746/19. Is m > -1? False Let d = 5796.9 + -5797. Is d greater than -936? True Let g = -114.91 - -23.91. Which is greater: -12 or g? -12 Suppose 166*d = 88*d + 78702. Which is bigger: 1007 or d? d Let m be ((-6149595)/(-60))/(-29) - (-65)/(-5). Is m at most -3547? True Let h = 160 + -152. Let a be (-36268)/6720 + 5 - h/(-20). Which is greater: -1 or a? a Suppose -5*t - 5 + 10 = 0. Let d = -0.694 + -57.826. Let l = 59 + d. Is t less than or equal to l? False Suppose -2*z = 2*g - 38, -3*z + 0*g = -2*g - 67. Suppose -v + z = 2*v. Are v and 71/10 nonequal? True Let j = 37.5 - 37.6508. Which is bigger: j or 0? 0 Suppose -
{ "pile_set_name": "DM Mathematics" }
ainder when g is divided by 11? 9 Suppose -16*s + 255 = 15. Let d = 34 - -25. Calculate the remainder when d is divided by s. 14 Let f be 6 + -1 + (1 - 1). Suppose 4*c = c - 4*a + 15, 25 = f*c - 4*a. Suppose -c*d + 153 = -47. What is the remainder when d is divided by 14? 12 Let w = 4 + 9. What is the remainder when 25 is divided by w? 12 Let r(w) = -2*w - 5. Let p be r(-7). Suppose -9 = -3*h + p. Suppose -h - 34 = -4*j. Calculate the remainder when 19 is divided by j. 9 Suppose 5*f + 7 = l, -14 = -5*l + 5*f - f. Suppose 3*p = -l*y + 49, -5*y + 0*p + p + 80 = 0. Calculate the remainder when 50 is divided by y. 16 Suppose 1 = d - 5. Suppose -2*k + d*k - 60 = 0. What is the remainder when 59 is divided by k? 14 Let m(b) = b**2 + 4*b + 3. Let r be m(-3). Suppose -2*d = r, o + 0*d - 3*d - 17 = 0. Calculate the remainder when o is divided by 10. 7 Let g(v) = v**3 - 4*v**2 + 3*v + 4. Let a = 9 - 4. Let s(h) = 2*h + 1. Calculate the remainder when s(a) is divided by g(3). 3 Let y(v) = -v**2 - 12*v + 7. Suppose -6*t + t = -265. What is the remainder when t is divided by y(-10)? 26 Suppose -23*f = -25*f + 408. Calculate the remainder when f is divided by 52. 48 Calculate the remainder when ((-76)/6)/((-10)/45) is divided by 15. 12 Let o(w) = -w - 11. What is the remainder when 21 is divided by o(-23)? 9 Suppose 2 = 2*p - 0*p. Suppose 0 = 3*h - 4 + 1. What is the remainder when h is divided by p? 0 Suppose 2*w = 3*w + 3*c - 72, 5*c + 271 = 4*w. What is the remainder when w - (-2 + 1)*1 is divided by 18? 16 Let v be (7/14)/((-1)/(-12)). Calculate the remainder when 51 is divided by (-27)/((-1)/(4/v)). 15 Suppose -15*j + 264 = -12*j + 5*n, 0 = j - 5*n - 108. Calculate the remainder when j is divided by (-27)/(-6)*32/6. 21 Calculate the remainder when -1 + 18 + (-3 - 1) is divided by 6. 1 Suppose 7*n - 70 = -0*n. What is the remainder when 19 is divided by n? 9 Let k = 39 + -23. Calculate the remainder when 61 is divided by k. 13 Let q(l) = -l**3 + 7*l**2 + 2*l - 3. Let w(b) = 3*b**2 - 15*b + 42. Calculate the remainder when q(5) is divided by w(4). 27 Let a = -7 - -9. Let r = 16 - a. Calculate the remainder when 54 is divided by r. 12 Let x(f) = f**2 + 4*f + 2. Let z be x(-4). What is the remainder when 13 is divided by ((-21)/6)/(z/(-4))? 6 What is the remainder when 98 is divided by (-12 - -1)*(-3 + (-10)/(-5))? 10 Suppose -18 = -u - 2*u. Suppose 0 = -5*o + o. What is the remainder when u is divided by o/1 - (-6 + 2)? 2 Calculate the remainder when 15 is divided by (-2 - -3 - 0) + 5. 3 Let b = -3 + 5. What is the remainder when (-4)/(-6) + (-122)/(-6) is divided by b/(-11) - (-123)/11? 10 Calculate the remainder when 143 is divided by -1 + (-6 - 4/(-1)) + 32. 27 Calculate the remainder when 27 is divided by 12 - ((-6)/2 + 1). 13 Let h(o) = -4*o + 9. Let q be h(-7). Suppose 0 = 2*l - l - q. Calculate the remainder when l is divided by 13. 11 Let x = -44 - -81. Suppose 3*v - 2*v - 27 = -2*o, -2*o + 2*v + 24 = 0. What is the remainder when x is divided by o? 11 Let b(w) = -w**2 + 10*w - 20. What is the remainder when 29 is divided by b(6)? 1 Let v(l) = -14*l + 5. Suppose -4*h = -k + 4*k - 47, -41 = -k + 5*h. Calculate the remainder when v(-4) is divided by k. 19 Suppose 0 = 9*n - 13*n + 412. What is the remainder when n is divided by 18? 13 Suppose 4*m = 16, 16 = -2*s + 2*m + 62. Calculate the remainder when 107 is divided by s. 26 Let d(k) = -2*k**2 + 12*k - 9. What is the remainder when 20 is divided by d(4)? 6 Suppose 0 = -i + 4*i - 162. What is the remainder when i is divided by 14? 12 Let x(b) = b**2 - 4*b - 8. Suppose 4*p - 7*p = -24. What is the remainder when x(p) is divided by 13? 11 Let x(y) = -2*y + 7. Let v(w) = -5*w + 21. Let t(z) = -2*v(z) + 7*x(z). Let j be -6 + 5 - 2*3. What is the remainder when t(j) is divided by 12? 11 Suppose 3*l = b + 7*l + 20, -3*l - 18 = b. Let f = b + 15. Calculate the remainder when f is divided by 1. 0 Suppose 2*z + 1 = z. Let f = z + 0. Let r = 15 - f. Calculate the remainder when r is divided by 6. 4 Suppose -2*b + 35 + 5 = 0. Suppose -f - 3*s + 21 = -4, -4*s - b = -4*f. What is the remainder when 28 is divided by f? 8 Let w = -32 - -58. What is the remainder when 122 is divided by w? 18 Let v = 32 - 12. Let h(m) = m**2 + 3*m + 3. Suppose -14 - 2 = 4*x. Calculate the remainder when v is divided by h(x). 6 Let l = -69 + 94. Calculate the remainder when 46 is divided by l. 21 Suppose 6*x - 132 = 2*x. Suppose -4*v = c - x, -v = v - 5*c - 11. What is the remainder when 15 is divided by v? 7 Let x = -26 + 45. Suppose -2*k = -d + 2, -3*k + 3*d - 6 = -0. Suppose -108 = -3*f + 3*i, k*f - 2*f + 3*i + 71 = 0. What is the remainder when f is divided by x? 18 Suppose 4 = -3*d - 2. Let i(u) = 16*u**2 + u + 1. What is the remainder when i(d) is divided by 11? 8 Let a(o) = 17*o**3 - o**2 + o - 1. Let r be a(1). Suppose 2*m = -4*q + 62, -q = -5*q + r. Calculate the remainder when m is divided by 12. 11 Suppose -2*l + 118 = -0*i - 4*i, -175 = -3*l + 5*i. Let p = 28 + -14. What is the remainder when l is divided by p? 13 Suppose 2*q + 3*q - 55 = 0. Let y = q + 27. What is the remainder when y is divided by 20? 18 Let u(y) = -y + 8. Let j be u(5). Suppose -3*m - 5*b + 103 = 0, -2*m = j*m - 5*b - 145. What is the remainder when m is divided by 11? 9 Let g(d) = 8*d**3 + 4*d**2 - 4*d + 3. Suppose 78 = -1311*k + 1313*k. What is the remainder when g(2) is divided by k? 36 Let q(d) be the third derivative of d**5/60 + 7*d**4/24 - 3*d**3/2 - 2*d**2. Let g be 33/(-4) - (-9)/(-12). What is the remainder when 25 is divided by q(g)? 7 Suppose -o + 5*h + 24 = 0, -4*h + 4 = 6*o - o. What is the remainder when 5 is divided by o? 1 Let m(o) = o + 4. Let h be m(0). Suppose -c + 49 = -0*c + v, 4*v + h = 0. Calculate the remainder when c is divided by 17. 16 Suppose -c + 3 = -5. What is the remainder when 39 is divided by c? 7 Let i(l) = -l**2 + 105. Let o be i(0). Suppose -4*x - x + o = 0. Let j(u) = 15*u**2 + 2. Calculate the remainder when j(-2) is divided by x. 20 Suppose -5*d + 5*m - m = -43, -2*d + 5*m + 7 = 0. Let n(p) = 5*p. Calculate the remainder when n(4) is divided by d. 9 Suppose 0 = -2*x - 2 + 28. Let b = -22 + 51. Let h = 53 - b. What is the remainder when h is divided by x? 11 Let n = 2 + -7. Let u = n - -10. Let v(h) = -h**2 - 8*h - 9. What is the remainder when u is divided by v(-6)? 2 Let d be ((-7)/4)/((-3)/(-12)). Let f(v) = 2*v - 5*v - 10 + 0*v. Calculate the remainder when 31 is divided by f(d). 9 Suppose 740 = 5*c - 2*t + t, -304 = -2*c + 2*t. Calculate the remainder when c is divided by 38. 33 Let p(c) = c**2 + 7*c + 3. Suppose -3*w = -2*l + 7, 21 = -3*l + 7*l + w. Suppose l*y - 8 - 17 = 0. Calculate the remainder when y is divided by p(-7). 2 Let n = -3 - -5. Suppose 2*m = f + 13, 2*m - f = -n*m + 23. What is the remainder when 8 is divided by m? 3 Suppose 0 = h - 6*h + 40. Let x = h - -1. Calculate the remainder when 25 is divided by x. 7 Suppose 7*t - 2 = 9*t. Let p(r) = -32*r**3 - r - 1. Suppose -3*m + 1 = -32. Calculate the remainder when p(t) is divided by m. 10 Let y = 30 - 26. Calculate the remainder when 18 is divided by y. 2 Suppose 253 = 9*m - 89. Let j = 9 - -1. Calculate the remainder when m is divided by j. 8 Let p = -3 - -5. What is the remainder when 21 is divided by -12*(p/(-2) + 0)? 9 Let t(r) = r**3 - 6*r**2 + r + 2. Let g be t(6). Suppose -3*k = -2*k. Suppose -y + 2*y - g = k. Calculate the remainder when 23 is divided by y. 7 Suppose 5*i - 69 = 51. Let g = 41 + i. Calculate the remainder when g is divided by 33. 32 Let u = -6 - -14. Let d = -6 + 12. Suppose -2*j + 38 = -d. Calculate the remainder when j is divided by u. 6 Let q(b) = -b - 1. Let y be -2 + 0 + 3 - 2. Let u be q(y). Suppose u = -l - l + 46. Calculate the remainder when l is divided by 8. 7 Let n(k) = k**2 - 7*k + 8. Let c be n(6). Let j = 37 - 22. Suppose 3*b - c*b = j. What is the remainder when 44 is divided by b? 14 Suppose 4*f - 65 = 119. Let l = 13 + -1. What is the remainder when f is divided by l? 10 Let o(h) = h + 38. What is the remainder when 23 is divided by o(-30)? 7 Suppose 0*c + 2*c = 12. Let b be (44/55)/((-2)/(-5)). Suppose b*d - c = -d. What is the remainder when d is divided by 2? 0 Suppose -6 = 5*t + 4*x, 2*t + 2*x
{ "pile_set_name": "DM Mathematics" }
/2*w + 2*w**3 - w**2 + 1 = 0. -2, -1, 1 Let i be 6 + (-4)/(-16)*(-611)/26. Factor 0*y + i*y**3 - 3/8*y**2 + 1/2. (y - 2)**2*(y + 1)/8 Let z(o) be the second derivative of o**6/105 - 6*o**5/35 + 23*o**4/21 - 20*o**3/7 + 25*o**2/7 - 187*o. Solve z(p) = 0 for p. 1, 5 Let u(c) be the third derivative of -17*c**2 + 1/720*c**5 + 0*c + 0*c**4 + 0 - 1/72*c**3. Factor u(m). (m - 1)*(m + 1)/12 Let g(y) be the first derivative of -y**5 - 50*y**2 + 35/3*y**3 - 2 + 60*y + 5/2*y**4. What is i in g(i) = 0? -3, 1, 2 Suppose -5*u = -2*r + 28, 5*u + 33 = 13. Suppose -r*x = -0*x. Find z such that x*z**2 - 7 + 6 + z**2 - z + z**3 = 0. -1, 1 Let q be (-7 + -7 + 14)*1/2. Let a(f) be the third derivative of 0*f**3 - 1/180*f**5 - 1/36*f**4 + 12*f**2 + q*f + 1/360*f**6 + 0. Factor a(g). g*(g - 2)*(g + 1)/3 Let k(u) be the second derivative of -u**6/10 - 9*u**5/10 - 3*u**4 - 5*u**3 - 9*u**2/2 - 2*u - 94. Factor k(i). -3*(i + 1)**3*(i + 3) Let q(h) be the first derivative of h**4 - 8*h**3 + 16*h**2 + 37. Find y, given that q(y) = 0. 0, 2, 4 Factor 0 + 25/7*i - 1/7*i**2. -i*(i - 25)/7 Suppose 0 = 4*w - 41 - 91. Suppose -2*q - 49 = -5*d + 6, -3*d + 3*q + w = 0. Factor 11*l + 5*l**5 + 3*l**4 - 9*l + 4*l**3 - d*l**3 - 3*l**2. l*(l - 1)*(l + 1)**2*(5*l - 2) Let x(p) be the second derivative of p**6/90 - 29*p**5/60 + 193*p**4/36 + 95*p**3/6 - 75*p**2 + 159*p. Factor x(v). (v - 15)**2*(v - 1)*(v + 2)/3 Suppose -5*l - 3*i + 5 + 24 = 0, 3*i = 9. Let k(z) be the second derivative of 0 - 1/12*z**l - 1/2*z**3 + 2*z**2 - 9*z. Factor k(u). -(u - 1)*(u + 4) Let l = -2236/63 - -250/7. Factor l*t**3 + 2/9*t**2 - 2/9 - 2/9*t. 2*(t - 1)*(t + 1)**2/9 Solve 1/5 - 3/5*c + 3/5*c**2 - 1/5*c**3 = 0. 1 Let l(d) = d**4 + 13*d**3 - 32*d**2 + 20*d - 4. Let r(m) = 6*m**4 + 65*m**3 - 160*m**2 + 100*m - 22. Let n(c) = -33*l(c) + 6*r(c). Find w such that n(w) = 0. 0, 1, 2, 10 Let a = -40651/3 - -13555. Solve 16/3*r - 2/3*r**2 - a = 0 for r. 1, 7 Let b(w) = -2*w + 30. Let x be b(14). Suppose 11*t**2 - 25*t**2 - t**3 + 9*t**x - 9*t + 11*t**2 = 0. Calculate t. 0, 3 Let b(s) be the third derivative of 0*s + 0 - 1/6*s**4 - 3*s**2 + 0*s**3 - 1/15*s**5. Factor b(x). -4*x*(x + 1) Factor 6/5*h**3 + 1/5*h**4 - 24/5*h + 16/5 + 1/5*h**2. (h - 1)**2*(h + 4)**2/5 Suppose -10 = -4*p - 0*p - 2*k, -2*p - 5*k + 9 = 0. Factor 8*a - 4*a + 27*a**2 - 8*a**4 - 9*a**p + 6*a**3. -2*a*(a - 2)*(a + 1)*(4*a + 1) Suppose -43*h = -44*h + 16. Let x = -16 + h. Factor x*g - 6/5*g**4 + 0 + 0*g**2 - 2*g**5 + 4/5*g**3. -2*g**3*(g + 1)*(5*g - 2)/5 Let z(y) = 18*y**3 + 22*y**2 + 7*y + 3. Let t(h) = 17*h**3 + 23*h**2 + 8*h + 2. Suppose 7*r = 5 + 9. Let s(v) = r*z(v) - 3*t(v). Factor s(f). -5*f*(f + 1)*(3*f + 2) Let y(m) be the second derivative of m**6/135 - 4*m**4/9 + 64*m**3/27 - 16*m**2/3 + 182*m. Suppose y(u) = 0. Calculate u. -6, 2 Let x(n) be the third derivative of -n**6/540 + 2*n**5/135 - n**4/108 - 2*n**3/9 + 130*n**2. Factor x(b). -2*(b - 3)*(b - 2)*(b + 1)/9 Let n(v) = 20*v**4 - 212*v**3 + 320*v**2 - 12*v. Let m(h) = 8*h**4 - 85*h**3 + 128*h**2 - 5*h. Let o(d) = 12*m(d) - 5*n(d). Factor o(x). -4*x**2*(x - 8)*(x - 2) Let t(u) be the second derivative of -u**7/42 + 7*u**6/30 - 3*u**5/4 + 13*u**4/12 - 2*u**3/3 - 130*u. Solve t(d) = 0 for d. 0, 1, 4 Let d(z) be the second derivative of -11*z**6/5 - 156*z**5/5 - 1187*z**4/11 + 1560*z**3/11 - 675*z**2/11 + 461*z. Suppose d(u) = 0. What is u? -5, 3/11 Let i = 8191/135 - 303/5. Let a(o) be the first derivative of -1/6*o**4 + i*o**3 + 0*o**2 - 8/45*o**5 + 0*o + 3. Factor a(c). -2*c**2*(c + 1)*(4*c - 1)/9 Let k(w) = -w**2 - 4*w + 8. Suppose 2*r - 16 + 11 = -5*m, 4*r = m - 23. Let l be k(r). What is n in 13/3*n**l + 9/2*n**2 - 2/3 + 2/3*n + 7/6*n**4 = 0? -2, -1, 2/7 Let k = -39 + 44. Suppose 2*l + 0*l = -2*j + 4, -10 = k*l - 5*j. Solve 0*r**2 - 1/4*r**3 + 0 + 1/4*r**4 + l*r = 0. 0, 1 Let n be (2 - 4) + 99 - -2. Suppose -101*v + n*v = 0. Factor -1/2*r**2 + 1/2*r**3 + 1/2*r**4 + 0*r - 1/2*r**5 + v. -r**2*(r - 1)**2*(r + 1)/2 Let c be -18*3/(-5)*(-30)/12. Let b be ((-8)/6)/((-6)/c*-3). Find v, given that -5/2*v**4 - 5/2*v - 5*v**b - 1/2*v**5 - 1/2 - 5*v**3 = 0. -1 Suppose 119 - 15 = 26*h. Let y be (-2)/(-7) - (-144)/476. Find k such that 4/17*k**3 - 10/17*k**h - 4/17*k + y*k**2 + 0 = 0. -1, 0, 2/5, 1 Let r be (-285)/(-420) + 3/(-12). Solve r*h**2 - 6/7 + 3/7*h = 0. -2, 1 Let s = 19934/3 + -6643. Factor -15*c**3 - 45*c + 0 - 45*c**2 - s*c**4. -5*c*(c + 3)**3/3 Let g = -93/2 + 281/6. Factor u**4 - 4/3*u**3 + g*u**2 + 0*u + 0. u**2*(u - 1)*(3*u - 1)/3 Let g(p) = 9*p**2 - 50. Let h(i) = -5*i**2 - i + 26. Let m(w) = -4*g(w) - 7*h(w). Determine b, given that m(b) = 0. -2, 9 Let r = -47 + 51. Solve -3*z**r - 19*z - 16 + 12*z**2 + 3*z + 7*z**4 + 9*z**3 + 7*z**3 = 0 for z. -2, -1, 1 Factor 58335*i**2 + 3*i**4 + 129916*i**2 - 48283*i**2 + 1296*i**3. 3*i**2*(i + 216)**2 Let u = 70721/4 + -17680. Factor 1/2*d**2 - 1/2 + u*d - 1/4*d**3. -(d - 2)*(d - 1)*(d + 1)/4 Let f(h) = 19*h**3 + 80*h**2 + 70*h + 53. Let k(w) = -4*w**3 - 16*w**2 - 14*w - 10. Let m(p) = 2*f(p) + 11*k(p). Determine t so that m(t) = 0. -1, -2/3 Let z(o) = 4*o**2 - 4*o - 8. Let c(a) = a**3 + a**2. Suppose -3*b = -s - 8, 0 = 4*s - 2*s + 5*b - 17. Let h(x) = s*z(x) + 4*c(x). Determine g so that h(g) = 0. -2, -1, 1 Suppose 157*w = 153*w + 20. Let y(t) be the first derivative of -1 + 1/24*t**3 + 1/48*t**6 + 3/40*t**w + 0*t + 3/32*t**4 + 0*t**2. Let y(f) = 0. What is f? -1, 0 Let i = -12 + 15. Let m(a) = 19*a**2 + 88*a + 11 + 61 - i*a**2. Let t(z) = -3*z**2 - 16*z - 13. Let y(o) = 5*m(o) + 28*t(o). Factor y(d). -4*(d + 1)**2 Factor 74/3*i + 1369 + 1/9*i**2. (i + 111)**2/9 Factor -358 - 17*o**2 - 69*o**2 - 725 - 31*o**2 - 1197*o - 3*o**3. -3*(o + 1)*(o + 19)**2 Let f(v) be the first derivative of -v**5/25 + 17*v**4/20 - 8. Factor f(k). -k**3*(k - 17)/5 Let b be -6 - (7 + -12) - (-6292)/17. Let r = -369 + b. Let 8/17*p + 8/17 + r*p**2 = 0. What is p? -2 Let h be -5 - ((-12)/16 + -5). Let -h*k**2 + 21/4*k - 9/2 = 0. Calculate k. 1, 6 Let g be 6/(-8) - 13/4. Let r be (1/(-6))/(g/6). Suppose 0*a + 0 - 3/4*a**4 - 1/4*a**2 - r*a**5 - 3/4*a**3 = 0. What is a? -1, 0 Let r(b) be the second derivative of b**6/15 + 13*b**5/10 + 61*b**4/6 + 41*b**3 + 90*b**2 - 212*b. Factor r(p). 2*(p + 2)*(p + 3)**2*(p + 5) Let d(g) = -g**2 - 6*g + 2. Let m be 184/(-32) - 2/8. Let z be d(m). Factor -z*c**2 + 2 - 2 + 2. -2*(c - 1)*(c + 1) Let f(m) = m**3 + 2*m**2 + 6*m + 12. Let p be f(-2). Let b(i) be the third derivative of p*i + 3/2*i**3 - 5*i**2 + 1/2*i**4 + 1/20*i**5 + 0. Factor b(g). 3*(g + 1)*(g + 3) Let f(z) be the third derivative of 1/3*z**4 + 0*z - 1/168*z**8 + 11/30*z**5 + 0 + 1/105*z**7 + 0*z**3 + 3/20*z**6 - 3*z**2. Let f(a) = 0. Calculate a. -1, 0, 4 Let j(y) be the second derivative of y**7/84 + 11*y**6/120 + 21*y**5/80 + y**4/3 + y**3/6 + 145*y. Let j(x) = 0. Calculate x. -2, -1, -1/2, 0 Determine o so that -2/11*o**5 + 24/11*o + 12/11*o**4 - 16/11 - 2*o**3 + 4/11*o**2 = 0. -1, 1, 2 Suppose 16*a**5 - 3*a**3 - 10*a**5 - 5*a**5 - 4*a**2 + 8*a + 14*a**2 - 4*a**4 = 0. Calculate a. -1, 0, 2, 4 Factor 256*i**2 - 5*i**4 - 23*i**4 - 50*i**3 - 2*i**5 - 14*i**3. -2*i**2*(i - 2)*(i + 8)**2 Let q = 20 - 39. Let f be (-2)/9*(10 + q). Let 2/15*j + 2/15*j**f + 0 = 0. What is j? -1, 0 Let q(x) be the first derivative of 3/14*x**4 - 11 - 18/7*x - 2/7*x**3 - 15/7*x**2. Factor q(c). 6*(c - 3)*(c + 1)**2/7 Let v(y) be the first derivative of -y**4/4 - y**3/3 + y**2/2 + y + 86. Determine i, given that v(i) = 0. -1, 1 Determine k so that 0 + 31/2*k + 1/2*k**2 = 0. -31, 0 Let n(i) be the second derivative of -i**6/75 - i**5/50 + 3*i**4/5 + 52*i**3/15 + 8*i**2 - 83*i. Find z, given that n(z) = 0. -2, 5 Suppose -11*m = -14*m + 1659. Let w = m - 3853/7. Factor 36/7*q + 3/7*q**3 + w*q**2 + 24/7. 3*(q + 2)**3/7 Let v(r) be the first derivative of -5*r**3/3 - 875*r**2 - 153125*r + 581. Factor v(f). -5*(f + 175)**2 Let v(x) = -24*x**3 - 61*x**2 - 54*x + 100. Let l(d) = 11*d**3 + 30*d**2 + 27*d - 50. Let k(m) = 13*l(m) + 6*v(m). Factor k(n). -(n - 25)*(n - 1)*(n + 2) Let n(z) be the third derivative of -1/56*z**4 + 0*z**3 - 2*z**2 - 3/280*z**6 + 3/140*z**5 + 1/490*z**7 + 0 + 0*z. Factor n(x). 3*x*(x - 1)**3/7 Let w = 3899/11751 + 6/3917. Factor -4/3 - w*j**2 + 5/3*j. -(j - 4)*(j - 1
{ "pile_set_name": "DM Mathematics" }
= -16*g**2 + 1318*g - 1318*g. Determine w(n(l)). -48*l**2 Let k(l) be the third derivative of -l**5/30 + 13*l**2. Let p(x) = -3*x + 6. Let y(f) = -7*f + 13. Let v(u) = -13*p(u) + 6*y(u). Determine v(k(s)). 6*s**2 Let p(u) = u**2 + 2. Let s(c) be the third derivative of c**5/20 + 5*c**3/6 - 2*c**2. Let g(v) = -15*p(v) + 6*s(v). Let r(i) = 2*i**2. Calculate g(r(j)). 12*j**4 Let j(r) = -34*r**2 - 5*r. Let h(y) = 2*y**2. What is h(j(g))? 2312*g**4 + 680*g**3 + 50*g**2 Let s(o) = 2*o. Let x(t) = -2*t + 64. Determine s(x(c)). -4*c + 128 Let h(w) = 0*w**2 + 4*w**2 - 3*w**2. Let u(q) = 10*q**2. Calculate u(h(f)). 10*f**4 Let a(t) = -t**2. Let o(h) be the first derivative of h**5/12 - 2*h**2 + 5. Let j(g) be the second derivative of o(g). Calculate a(j(b)). -25*b**4 Let p(q) = 6*q**2 - 1. Let v(y) = 7*y**2. Give v(p(n)). 252*n**4 - 84*n**2 + 7 Let s(w) = 2681*w**2. Let g(u) = 2*u**2. Calculate s(g(r)). 10724*r**4 Let g(j) = j. Let m = 81 + -70. Let b be (-3)/(-2)*(-22)/(-3). Let l(y) = -m - 8*y**2 + b. Calculate g(l(u)). -8*u**2 Let b be 2/(-6) - 2/(-6). Let u(o) = 0 + o**2 + o**2 + b. Let p(a) = -2*a**2. Calculate p(u(t)). -8*t**4 Let a(s) = -6*s**2. Let t(d) = 2*d - 1818. What is a(t(j))? -24*j**2 + 43632*j - 19830744 Let f(z) = -z**2. Let c(y) = 2*y**2 + 2*y. Let j(s) = -8*s**2 - 9*s. Let t(w) = -18*c(w) - 4*j(w). Calculate t(f(r)). -4*r**4 Let a(n) = -116*n. Let g(x) = -67*x**2. Give a(g(f)). 7772*f**2 Let u(j) = -3371*j**2. Let v(h) = -2*h**2. What is v(u(x))? -22727282*x**4 Let w(d) = -7*d**2. Let a(j) = -j + 382. Calculate a(w(s)). 7*s**2 + 382 Let r(v) = v. Let u(i) = 1459*i. What is r(u(s))? 1459*s Let y(m) = -1525*m - 2. Let f(b) = -b. Give y(f(c)). 1525*c - 2 Let p(q) = -2*q**2 + 0*q**2 + q**2. Let j(v) be the second derivative of -v**3/3 - v. What is j(p(o))? 2*o**2 Let r(n) = 2*n**2. Let a(i) = -3*i**2 - 12*i. Let h(k) = 4*k**2 + 13*k. Let x(f) = -5*a(f) - 4*h(f). Let g be x(7). Let v(d) = -g - d + 7. What is r(v(j))? 2*j**2 Let q(w) = -2*w + w + 2*w. Let j = -10 + 17. Let r(a) = -j*a**2 - 4*a + 4*a. Give q(r(o)). -7*o**2 Let s(k) = -2*k**2 - 3*k**2 + k**2. Let d(p) be the second derivative of -p**3/6 - 10*p. Give d(s(c)). 4*c**2 Let c(g) = 10*g. Let z(n) = 4*n**2 - n**2 - 3*n**2 + n**2. Give c(z(y)). 10*y**2 Let b(d) = 3*d**2. Let x(p) be the first derivative of -p**2/2 + 1. Give x(b(a)). -3*a**2 Let u(f) = -65*f - 45. Let y(g) = 3*g + 2. Let q(x) = -2*u(x) - 45*y(x). Let m(s) = s. Determine q(m(n)). -5*n Let d(k) = -k - 108 + 108 + 28*k. Let a(x) = -x. Calculate d(a(t)). -27*t Let g(j) = 2*j. Let q(a) = -448*a. Give g(q(y)). -896*y Suppose -5*d + 3*k + 2 + 17 = 0, 0 = 3*k - 6. Let i(a) = -3*a - 2 + 7 - d. Let z(g) = 3*g + 4*g - 5*g - 3*g. Calculate z(i(c)). 3*c Let i(s) be the third derivative of -5/12*s**4 + 0*s**3 + 0 + 0*s + 5*s**2. Let u(a) = -2*a. Give u(i(f)). 20*f Let a(d) be the first derivative of d**2 - 2. Let g = -7 - -9. Let o(q) = 3*q. Let t(v) = 2*v. Let r(b) = g*o(b) - 4*t(b). Determine r(a(l)). -4*l Let n(u) = 12*u. Let w(j) = -27*j. Determine w(n(o)). -324*o Let k(n) = -n**2 - 51*n. Let m(f) = -f**2. Give m(k(v)). -v**4 - 102*v**3 - 2601*v**2 Let d(i) = i**2. Let u(n) = 13*n**2 - 2. Let b(x) = -352*x**2 + 55. Let y(g) = 2*b(g) + 55*u(g). Calculate d(y(z)). 121*z**4 Let x(t) = -3*t. Let r be ((-12)/20)/(1/(-5)). Let h(n) = n**2 - 4. Let b be h(r). Let f(s) = -3*s - 4*s + 4*s + b*s. Calculate x(f(l)). -6*l Let n(k) = -2*k**2. Let s(t) be the first derivative of -9*t**2 - 18. What is s(n(w))? 36*w**2 Let a(v) = -2*v. Let k(b) be the second derivative of -7*b**5/60 + b**2/2 - b. Let z(p) be the first derivative of k(p). Determine z(a(o)). -28*o**2 Let c(z) = -7*z**2. Let g(p) = -3*p**2. Let q(t) = 2*c(t) - 5*g(t). Let n(v) = 18*v. Determine q(n(l)). 324*l**2 Let t(x) = 15*x. Let z(s) = -4*s. Give t(z(v)). -60*v Let t(d) = 2*d. Let g(u) = -2*u - u**2 + 0 - 5*u + 11. Let i be g(-8). Let p(z) = 2*z**2 - i*z**2 + 0*z**2. Calculate p(t(l)). -4*l**2 Let y(l) = l**2. Let r(i) = 427*i. Give r(y(g)). 427*g**2 Let r(y) = -4*y + 7. Let t(h) = h - 1. Let v(j) = 2*r(j) + 14*t(j). Let k(o) be the third derivative of -o**5/30 - 19*o**2. Calculate v(k(c)). -12*c**2 Let a(l) = 0 + 7989*l + 0 - 7892*l. Let r(z) = z**2. What is r(a(t))? 9409*t**2 Let c(i) = 2*i**2. Let a(r) be the first derivative of 7*r**3/3 - 4. Determine a(c(y)). 28*y**4 Let g(q) = -2*q**2. Let o(c) be the first derivative of -8*c**3/3 - 40. What is g(o(j))? -128*j**4 Let p(g) = 3*g. Let w(v) = 3*v**2 + 75*v. What is w(p(q))? 27*q**2 + 225*q Let h(d) = 557*d**2 - d - 2. Let u(a) = -2*a. Calculate h(u(i)). 2228*i**2 + 2*i - 2 Let x(v) = -5*v + 9. Let n(l) = 2*l - 4. Let p(k) = 9*n(k) + 4*x(k). Let a(f) be the first derivative of 2*f**3/3 + 2. Calculate p(a(y)). -4*y**2 Let r(w) = w**2. Let h(f) = 1 - f - 4 + 3. Determine r(h(x)). x**2 Let z(n) = 5*n. Let p(f) = -4235*f**2. Give z(p(i)). -21175*i**2 Let u(k) = -114*k. Let w(c) = -5*c. Give w(u(l)). 570*l Let o(f) = -2*f. Let k(j) be the second derivative of -j**7/1260 + j**4/6 + 6*j. Let g(w) be the third derivative of k(w). Calculate g(o(p)). -8*p**2 Let c(h) = 27 - 16*h**2 - 18 - 9. Let k(l) = l**2. Determine c(k(s)). -16*s**4 Let t(z) be the second derivative of -z**3/6 - 22*z. Let p(s) = 12*s. Determine t(p(g)). -12*g Let f(s) = -29618*s**2. Let r(v) = -v**2. What is r(f(m))? -877225924*m**4 Let n(h) = -h. Let z(m) = -2324*m. Calculate n(z(p)). 2324*p Let h(d) be the second derivative of -d**4/6 - 7*d. Let q(m) = -2*m. Determine q(h(z)). 4*z**2 Let z(q) be the second derivative of -25*q**3/6 + 28*q - 1. Let u(v) = 2*v**2. Calculate u(z(f)). 1250*f**2 Let z(r) = 2*r**2. Let o(q) be the first derivative of q + 2 - 1/2*q**2. Let n(d) = 4*d - 3. Let l(s) = 2*n(s) + 6*o(s). Give l(z(v)). 4*v**2 Let i(f) be the third derivative of f**7/2520 - f**5/15 + f**2. Let t(g) be the third derivative of i(g). Let l(h) = h. Determine t(l(n)). 2*n Let w(x) = -3*x**2. Let b(j) be the second derivative of j**3/3 - 3*j**2 - 2*j. Let t(f) = 2*f - 5. Let v(m) = -5*b(m) + 6*t(m). Determine v(w(z)). -6*z**2 Let y(t) be the first derivative of -1 + 1 - t**2 - 1. Let n(x) = 3*x**2. Calculate n(y(j)). 12*j**2 Let m(i) = 2*i. Suppose -5*k - p - 27 = 0, -6*k + k + 3*p = 19. Let b = 13 + k. Let o(z) = -b*z + z**2 + 7*z + z. Determine m(o(n)). 2*n**2 Let i(f) = -7*f**2. Let h(w) = -40*w. Determine i(h(v)). -11200*v**2 Let x(f) = -15*f**2 + 25*f**2 - 1 + 1. Let v(d) = 2*d. What is x(v(z))? 40*z**2 Let k(o) = -6*o. Let u = 15 + -12. Let d(r) = u - 6*r**2 - 3 + 8*r**2. What is d(k(j))? 72*j**2 Let d(i) = -16996*i**2. Let h(y) = -3*y**2. What is h(d(s))? -866592048*s**4 Let v(t) be the third derivative of -5*t**4/24 - t**3/2 + 4*t**2. Let d(g) = -4*g - 2. Let i(p) = 3*d(p) - 2*v(p). Let k(q) = q**2. Give i(k(r)). -2*r**2 Let o(u) = 20*u**2. Let d(b) = -2*b**2 - 7*b**2 + 9*b**2 - 2*b**2. Calculate d(o(a)). -800*a**4 Let l(h) = h + 1. Let n(s) = 57*s + 38. Let d(q) = 38*l(q) - n(q). Let o(m) = 3*m. Give d(o(a)). -57*a Let p(r) = 2*r**2. Let x(v) = v**2 - v + 1. Let z(s) = 4*s**2 - 2*s + 2. Let m(f) = -2*x(f) + z(f). What is p(m(l))? 8*l**4 Let h(f) = -21*f. Let g(s) = -3*s. Give h(g(q)). 63*q Let k(b) = b**2. Let f(w) be the second derivative of 0 + 1/3*w**3 + 0*w**2 + w. Determine f(k(q)). 2*q**2 Let h(t) = 5*t. Let k(i) be the second derivative of 0*i**2 + 1/3*i**3 - 3*i + 0. Give h(k(r)). 10*r Let l(a) = 13*a**2. Let c(t) = -9*t + 2*t**2 - 3*t**2 + 9*t. Give l(c(x)). 13*x**4 Let g(u) = -u**2 + 1. Let f(l) = -3*l**2 - 2 + 4 - l**2. Let t be (-2)/(-8) - (-15)/20. Let o(x) = t*f(x) - 2*g(x). Let z(w) = -w**2. Determine o(z(n)). -2*n**4 Let h(r) = 2*r. Let j(g) = -670*g**2. Give h(j(d)). -1340*d**2 Let v(z) = -6393*z. Let g(t) = -t**2. Give v(g(o)). 6393*o**2 Let t(v) = 55*v**2 + 5*v + 4. Let m(f) = -f. What is t(m(l))? 55*l**2 - 5*l + 4 Let h(o) = o + 2. Let q(n) = -2*n - 5. Let l(r) = -5*h(r) - 2*q(r). Let m(y) be the first derivative of 3/2*y**2 - 2 + 0*y. What is m(l(p))? -3*p Let z(l) = -l**2. Let f(x) be the third derivative of x**4/8 - 3*x**2. What is z(f(t))? -9*t**2 Let c(n) = -6*n. Let k(a) = a. Let l(w) = -3*c(w) - 12*k(w). Let z(q) = -2*q**2 + 3. Let d(r) = 3*r**2 - 5. Let m(h) = -3*d(h) - 5*z(h). Calculate l(m(x)). 6*x**2 Let h(n) = -n**2. L
{ "pile_set_name": "DM Mathematics" }
*o + 2*o + 5*o + 10*o to the form w*o + r*o**2 + s and give w. -2 Express (-j**2 - 4*j**2 + 3*j**2)*(1 + 2 - 2) + 2 - 2 - 2*j**2 + (-23 + 23 + 2*j)*(-1 + 0 + 2)*(3*j + 3*j - 7*j) in the form b + l*j**2 + m*j and give l. -6 Rearrange g**2 - g + g - 5*g**2 - g**2 + 0*g**2 + (6 + 3 - 2)*(-25*g + 9*g**2 + 25*g) to the form n*g**2 + b*g + p and give n. 58 Express (10*p**2 - 17*p**2 - p + 0*p)*(20 + 30 - 17)*(-2*p + 0*p + 0*p) in the form s*p**2 + k + t*p + b*p**3 and give s. 66 Express 324 - 324 + 170*k**2 as o*k + r + y*k**2 and give y. 170 Rearrange 2379 + 2375 - 1020*p**2 - 4754 - p**2 + 7*p**2 - 3*p**2 - 2*p**2 - 2*p**2 + 5*p**2 + (-2*p + 0 + 0)*(-5*p + 2*p + 2*p) to m*p**2 + x*p + q and give m. -1014 Express ((-1 + 2*a + 1)*(4 - 1 - 5) - 544 + 36*a + 544 + (-a + 3*a - a)*(1 - 6 + 3) - a + a - a)*(-3*a + 3*a - a) in the form z + x*a + v*a**2 and give v. -29 Express -215201 + 368*f + 215201 as t*f + p and give t. 368 Express (7*g**3 - 3*g**3 - 5*g**3)*(3*g + 11*g + 11*g)*(2 - 5 - 1) + (0*g - g + 3*g)*(-g**3 + g**3 + 2*g**3) as z + n*g**4 + f*g**3 + t*g**2 + v*g and give n. 104 Rearrange 118*i**2 - 20*i**2 + 1 - 19*i**2 + 133*i**2 + 6 to the form u + q*i**2 + b*i and give u. 7 Express (305 - 465 + 293)*(0 + 2 - 3)*(-3*h - h + 2*h) as j*h + v and give j. 266 Rearrange -56*k**2 + 4 - 7 + 484*k**2 to the form s*k**2 + z + c*k and give z. -3 Express -442*r + 111*r - 212*r - 350*r in the form o + l*r and give l. -893 Rearrange (-3 - 21 - 8 - 4 + 5 + 1 + (4 - 2 - 1)*(-6 + 3 + 1))*(0*m + m + m) to the form n*m + o and give o. 0 Express 6*x + 2*x**2 + 0*x - 201 + 200 in the form u*x + l*x**2 + y and give l. 2 Express -59*o - 73*o + 140*o - 41*o as t + m*o and give m. -33 Express 10*a**3 - a**4 - 7*a**3 - 2*a**3 + 2 - 6*a - 2*a**2 - 2*a + 3*a**4 as u + r*a + j*a**3 + v*a**4 + q*a**2 and give u. 2 Express -3*z**4 + z**4 + 0*z**4 + ((-5*z + 4*z + 3*z)*(2 - 3 + 8) + 7*z - z + 8*z)*(-6*z - 2*z**3 + 6*z) as d*z + m*z**3 + x*z**2 + t*z**4 + i and give t. -58 Rearrange 2182*b**2 - 3*b + 3*b - 2153*b**2 to f*b**2 + t*b + r and give f. 29 Rearrange -4 - 1 - z + 0*z - 4*z + 4 - 4 - 4*z - 6 + 6 + (-3 + 0 + 1)*(5 + 2*z - 5) - 5*z + 0*z + 3*z - 5*z + 4*z - z to a + w*z and give a. -5 Rearrange (0 + 5 - 6)*((2*f + 1 - 1)*(5 - 5 - f) - 2*f**2 + f**2 - f**2 + 3*f**2 + 3*f**2 - 5*f**2) to j*f + n*f**2 + y and give n. 3 Rearrange (107489 + s - 107489)*(-5*s**2 + s**2 + 2*s**2) to x*s**2 + g*s**3 + l*s + t and give g. -2 Rearrange -85 + 261 - 542*q - 86 - 90 to m + v*q and give v. -542 Rearrange (-k - 2*k + 4*k)*(k**2 - 4*k**2 + k**2) - k**3 + 3*k**3 - k**3 + 2 - 70*k**3 - 28*k**3 - 4*k + k to the form h*k**3 + c*k**2 + q*k + y and give q. -3 Rearrange -58*n + 570 - 1137 + 566 to o + h*n and give h. -58 Express -95*i**2 + 48*i**2 + 37*i**2 - 139*i**2 - 63*i**2 in the form l*i**2 + z + s*i and give l. -212 Express -2*c - 1626 + 1644 + c in the form h + v*c and give v. -1 Express 544*u**3 - 7*u**2 + 503*u**3 + 1 - 1621*u**3 + 513*u**3 + 0 in the form a*u**3 + p + g*u + z*u**2 and give z. -7 Express -36*d**2 + 21*d**2 - d - 9*d**4 - 1 + 15*d**2 as k*d**3 + q + v*d**4 + z*d**2 + t*d and give v. -9 Express -3*d**3 - d + d**2 - d + 10*d**3 + 10*d**4 + 15*d - 12*d**4 in the form n*d**4 + z + p*d + h*d**2 + r*d**3 and give p. 13 Express 2 - 14*g**3 + 2*g**4 + 14*g**3 + 0 - 11*g**3 - 7*g**4 in the form p*g**3 + h*g + c*g**2 + q + u*g**4 and give p. -11 Rearrange 0 + 3 + 15 + 10 + 2*a**3 + 61*a**2 - 63*a**2 to f*a + b*a**3 + t*a**2 + q and give q. 28 Express (4*k + k - 4*k)*(-1 + 1 + 11)*(-6 + 3 + 1) in the form m + d*k and give d. -22 Rearrange (-3*b**3 + 0*b**2 + 0*b**2)*((-2 - 1 + 4)*(b + 2*b - 2*b) - 21*b - 23*b + 36*b) to v*b + i*b**2 + x*b**3 + u*b**4 + o and give u. 21 Express -8*r + 9*r + 8*r + 8*r + 285 - 281 in the form p + b*r and give p. 4 Express -k**4 + 6 + 2*k**3 - 310*k**2 + 308*k**2 + 2*k - 7 - 5*k**4 in the form d*k**2 + a + t*k**4 + l*k + b*k**3 and give t. -6 Rearrange 30*i + 26*i - 2*i - 16*i to q*i + n and give q. 38 Rearrange -21*x**2 - 24*x**2 - 2 - 1 + 2*x - x**3 + x**2 + 6 to the form n*x**2 + h + r*x**3 + l*x and give l. 2 Rearrange 309 - 306 + i - 5*i - 6*i**2 - 9*i**2 to the form n*i**2 + b + r*i and give b. 3 Rearrange (14762 + 150*m - 14762)*(-6 + 2 + 2)*(2 - 2 - 2) to w*m + f and give f. 0 Rearrange -60*q**2 - 228*q**2 - 7*q**3 - 130*q**2 + 6*q**3 to g + o*q**2 + f*q + a*q**3 and give o. -418 Rearrange -810 + 884 + 2*i + 0*i + 2*i + 0*i - i + (1 - 1 + 2)*(-2 + 2 + i) to x + s*i and give s. 5 Rearrange 266 - 2*b**2 + 435*b - 874*b - 265 to k + z*b + o*b**2 and give o. -2 Express (-12*n + 41*n - 22*n**2 - 40*n)*(-2*n**2 + 1 - 3 + n**2) as h + l*n + k*n**2 + u*n**3 + w*n**4 and give u. 11 Express 2*b**4 - b**3 - 3 + b**2 - 1 + 33*b**3 - 32*b**3 as m*b + y + r*b**3 + g*b**4 + a*b**2 and give y. -4 Rearrange (-3*j - 4*j + 3*j)*(-2 + 5 - 5) - 12 + 12 - 21*j to f + v*j and give v. -13 Rearrange ((-2*o + 0*o + 4*o)*(3 + 0 - 1) + 3*o + 14 - 14)*(31 + 7 + 24 - 15) to the form d + r*o and give r. 329 Express (4 + 331 + 8)*(-2*y + 2*y - y**4) + 2*y**4 - y**4 + 0*y**4 in the form b*y + s*y**2 + a*y**4 + m + w*y**3 and give a. -342 Express 8 + o**2 + 5 - 12 + 34 + 3*o + 2*o in the form x*o**2 + p*o + h and give h. 35 Express 108 - 334 + 121 - 31*d + 110 in the form c + t*d and give c. 5 Rearrange 2080*g**2 + 32*g - 10*g - 8*g - 14*g to the form a*g + u + r*g**2 and give r. 2080 Express (4*j - 4*j - j + (-4 + 2 + 1)*(4 + 2*j - 4) + 9*j - 3*j + 2*j + 4*j - 3*j + 2*j)*(5 - 4 - 5)*(0 - 3 - 2) as p + c*j and give c. 160 Express (4*m**2 - 4*m**2 + 7*m**3)*(-143*m - 3*m + 62*m) + (2*m - 4*m + 3*m)*(-2 + 2*m**3 + 2) as f*m**4 + u*m**3 + p*m + y*m**2 + g and give f. -586 Rearrange (43*d - 16*d + d)*(-3*d + d - 7*d) + (3 - 3 + 2*d**2)*(2 + 1 - 5) + (0*d + 2*d - 3*d)*(d - 2 + 2) to the form w*d**2 + a + b*d and give w. -257 Express -67*q**2 - 12 - 3 + 14*q**2 + 10 as n*q**2 + d + h*q and give d. -5 Rearrange 136 + 8*a - 23*a + a**2 + 7*a + 9 + 7*a to v + g*a + w*a**2 and give g. -1 Rearrange -22 - 14*m - m**3 + 67*m**2 + 16*m - 68*m**2 to the form n*m**2 + p*m**3 + l*m + g and give g. -22 Rearrange -1 - 2*r + 12370*r**2 - 12365*r**2 - 5*r**3 + 4*r to the form h*r**3 + a + m*r**2 + s*r and give h. -5 Rearrange -5*f - 5*f**2 + 3*f**2 + 2 + 4*f**2 - 4*f**2 - 7*f**3 + 3*f**2 to the form l*f**3 + o*f + c*f**2 + t and give t. 2 Rearrange (-10*j - 3*j + 6*j)*(1 + 7 - 57 - 34) to q*j + o and give q. 581 Rearrange (-3*l + 6*l - 2*l)*(2 - 2*l - 2) + (-4*l + 8*l - 23*l)*(-6 + 6 + 12*l + (2 + 0 - 3)*(3*l - 4*l - 2*l)) to the form c*l**2 + t + v*l and give c. -287 Express (-4 - 2 + 4)*(14 - 14 - 111*d) as a + g*d and give g. 222 Express 48*y**3 + 414*y**2 + 417*y**2 + 0 - 5 - 832*y**2 - 1 in the form x*y**2 + v + z*y**3 + k*y and give v. -6 Rearrange 14236 + 210*b - 14236 to d + t*b and give t. 210 Express -2*h - 3*h**2 + 5 + 274296*h**3 - 274296*h**3 + h**4 as f*h**4 + z*h**2 + r*h**3 + k*h + y and give y. 5 Rearrange -55*d - 4*d - 17*d + 6*d - 2*d - 2*d + (4*d - 6*d + 4*d)*(0 - 3 + 5) to n + t*d and give t. -70 Express (90 - 20 - 21)*(-2*o + 5 - 5) + 4*o - 22*o + 12*o as y*o + j and give y. -104 Express 9 + 47*t - 7*t - 27 + 14 in the form f + l*t and give l. 40 Express (4*c**2 - 3*c**2 - 3*c**2)*(-4*c**2 + 3*c**2 + 0*c**2) + (c + c - c + 8)*(4*c**3 - 5*c**3 - 10*c**3) as z*c**4 + p + f*c**2 + j*c**3 + v*c and give j. -88 Rearrange -h**3 + 3*h**4 - 3*h**3 + 2*h**2 + 0*h + 0*h**2 - h - 3 + 3*h**3 to the form f*h**2 + c*h**3 + j*h**4 + w + u*h and give j. 3 Rearrange 0*l**3 + 22*l + 10*l - 45*l - l**3 - 1 + 5 to the form v + j*l**3 + o*l + q*l**2 and give o. -13 Rearrange -123*v**3 + 292*v**3 - 53*v**3 - 3*v**2 to the form p + d*v**2 + z*v + y*v**3 and give d. -3 Rearrange -36*r - 599*r - 140*r - 305*r to the form s*r + o and give s. -1080 Express -2 + 10*c + 3*c + 7 + c - 2 in the form m + f*c and give f. 14 Express 97*w**3 - 2 - 71*w**2 + 144*w**2 - 70*w**2 + 69*w**3 in the form n*w + x*w**2 + h + j*w**3 and give h. -2 Express -318 + 634 - 310 - 7*l**2 - l**2 - 11*l**2 in the form n*l**2 + r + m*l and give r. 6 Express (187*q - 187*q + 5*q**2)*(0 + 0 + q) + 7*q**3 + 2*q**3 - 3*q**3 in the form k + y*q + b*q**3 + m*q**2 and give b. 11 Express 3*y + y + 2*y**3 + y + 0 - 9*y - 7 as n*y
{ "pile_set_name": "DM Mathematics" }
hich is smaller: y or h? h Suppose 0 = -1098*u + 1104*u - 3228. Which is greater: 537 or u? u Let r be (-1 - 2)/((-6)/(-4)). Which is smaller: 0.02 or r? r Let r be (-5)/(10/(-48)) - -2. Let i(n) = -6*n - 89. Let x be i(-13). Let p = r + x. Is 15 not equal to p? False Let i = 7.061 - 393.431. Let q = 388 + i. Let p = -1.6 + q. Which is smaller: p or -1/3? -1/3 Let w(c) = -2*c**3 + 24*c**2 - 5*c - 30. Let o be w(11). Is o < 157? False Suppose -1 = -2*c + 3*c. Let r be -38*(-1 + 4)*c/3. Is 38 <= r? True Let d be 4*((-2)/(-4) + (-297)/486). Which is greater: -43 or d? d Let d = -2.1 + 1.2. Let f = 0.4 + d. Let h = 0.4 - -0.6. Is h < f? False Let a be (10/7 + -1)*3. Let g = 180 + -179. Which is smaller: a or g? g Let n(u) = -2*u - 6. Let d be n(-9). Let f be -4 - (4 - 100/d). Which is greater: 0.4 or f? 0.4 Let v(a) = -a**2 - 14*a - 29. Let n be v(-11). Which is bigger: n or 24/5? 24/5 Let f(t) = t**2 + 16*t + 18. Let i be f(-14). Suppose 9*y - 3*y + 78 = 0. Let k = -24 - y. Which is smaller: k or i? k Let p(z) = 12*z - 626. Let j be p(58). Which is smaller: 75 or j? j Let q(d) = -47*d**2 + 20*d + 20. Let l(u) = -12*u**2 + 5*u + 5. Let v(x) = 9*l(x) - 2*q(x). Let p be v(-2). Do -60 and p have different values? True Let g = 0 - 1. Let w = 15 + g. Let l = -5 - -5.1. Which is smaller: l or w? l Suppose -2*r - 5 = 5. Let y be 5*1/(r/4). Let t be (-10)/(-40) + 5/y. Are 1/3 and t non-equal? True Suppose -37 = -21*h + 5. Is 25 at most as big as h? False Let o be 2/2*(0 - 0). Let s(m) be the third derivative of m**5/60 - m**4/24 - m**3 - 502*m**2. Let c be s(o). Which is greater: -9/2 or c? -9/2 Let x(a) be the second derivative of -a**5/20 - 5*a**4/6 - 4*a**3/3 + 7*a**2 + a. Let k = 1107 + -1116. Let c be x(k). Are 5 and c non-equal? False Suppose 3*o = -7*m + 4*m + 213, 5*m = 3*o + 347. Which is smaller: 208/3 or m? 208/3 Let h be 258802120/(-588) - (-2)/(-1). Let p = 440134 + h. Let z = p + 16/49. Is z greater than -6? False Suppose 6*o + 143 = 635. Is 82 at least o? True Let w be (8/6)/((-494)/(-390)). Do w and 1 have different values? True Let h = -499 + 592. Which is smaller: -3 or h? -3 Let i(x) = x**3 + 2. Let m be i(0). Let y(n) = n**3 - 3*n**2 - n + 3. Let b be y(3). Let w = b + m. Which is smaller: 3 or w? w Suppose 2*r = -4*u + 338 + 88, 208 = 2*u + 2*r. Let y(v) = v**3 - 101*v**2 + 388*v + 109. Let o be y(97). Is o <= u? True Let w(v) = 16*v - 260. Let q be w(17). Which is bigger: 230/19 or q? 230/19 Let j = 0.0727 - 7.0727. Is j > 14? False Let t be ((-2)/(144/(-207)))/((-1)/(-6)). Which is bigger: t or 18? 18 Let u be 2/3 - 4/6. Let k be 39/65 - (-317)/(-65). Let n = k - -66/13. Which is smaller: u or n? u Let w = -0.589 + 0.989. Which is smaller: -0.03 or w? -0.03 Suppose 5*m - 6 = 9. Let y be (-115)/(-15) + m + (-16)/6. Is 8 at most as big as y? True Let j = 0.3 + 0.7. Let z = 27386/5 - 5477. Is z greater than j? False Let n(m) = m**2 - 7*m - 15. Let l be n(9). Suppose -3 = 3*g, -d = -5*d - l*g + 1. Is -2/25 less than or equal to d? True Let c = -7 + 6.86. Let q = -2.86 + c. Let t = -26/3 - -8. Which is bigger: q or t? t Let s = -1761 + 1439. Do s and -322 have different values? False Suppose 19 - 1 = 9*k. Let q be (0/k)/((7 - 3) + -2). Which is greater: q or -2? q Suppose -9*o + 25 = -14*o. Let w be -7 + 6 + o/(-1). Suppose 0 = 4*d + 4*c + 4, -7 = 5*d - 3*d + 3*c. Is w > d? False Let s(b) = 11*b - 8. Let d be s(2). Suppose 0 = -6*j + 4*j + d. Is j < 9? True Suppose 5*m + 2*m = -1232. Is m greater than or equal to -175? False Let a(l) = -3*l + 8. Let o be a(7). Suppose -6*u = -14*u + 32. Suppose -k = 2*k - 2*w + 26, 0 = -u*k + w - 43. Which is bigger: k or o? k Let p = 3.42 - 3.3. Let f = p - -3.88. Is 0.1 less than f? True Let k be ((-6)/152)/((-4)/8). Let a = k + 61/190. Is -1 > a? False Let n = -14 - 7. Suppose -2*x - m + 14 - 56 = 0, 5*m = x + 32. Are x and n equal? False Suppose -2*t + i - 217 = 0, -4*t - 540 = t - 3*i. Let n be -5*(-4 + t/(-30)) - -4. Is 5 at least as big as n? False Let p = 0.06 - 8.06. Let d = -22 - -30.3. Let w = p + d. Which is greater: 0.1 or w? w Let s = 39.5 + -34. Let r = s + -5.2. Which is greater: -4 or r? r Let u = 295 - 264. Which is smaller: -0.01 or u? -0.01 Suppose -3*g - 45 = 3*b, -3*g + 5*b = 2*b + 75. Is g > 6? False Let v(j) = 8*j + 16. Let q be v(8). Let i = 72 - q. Is i >= -9? True Let c(u) = u**3 + 8*u**2 - 2*u + 2. Let m be 3/2 + (-28)/8. Let g(o) = -o**3 - 7*o**2 + o - 3. Let t(i) = m*c(i) - 3*g(i). Let r be t(-5). Is -2/5 != r? True Let p = -1.39 - -1.49. Is p greater than or equal to 35/22? False Let l = 754 + -5283/7. Is l less than or equal to -1/9? True Let b(t) be the second derivative of t**3/3 + 9*t**2/2 + 2*t. Let c be b(-8). Which is smaller: -1 or c? c Let c = 189 - 187. Which is bigger: c or 5/6? c Let w be 11/(11/(-10)) - -4. Let f = -2/1383 - 40097/6915. Is f smaller than w? False Let v(c) = -c**2 - 6*c + 16. Let i be v(-8). Which is bigger: 2/895 or i? 2/895 Suppose 4*p + n = -14, 5*p - 5*n + 22 = 2*p. Let k(u) = 6*u - 13*u + 8*u - 2*u + 1. Let j be k(p). Is 3 at most as big as j? True Let w be (12/112)/(35/8 + -4). Which is smaller: w or -390? -390 Let f = 128 - 141. Let n(d) = 6*d + 55. Let x be n(f). Which is greater: -164/7 or x? x Suppose i = 5*v + 83, -4*i + 356 = 3*v + v. Which is smaller: -1/2 or i? -1/2 Let a be 4/22 + 7/22. Let f be (18/(-264))/((-12)/66). Is f less than a? True Suppose 0 = 2*b - 10, 2*b = -3*v + 3*b - 11. Let g be v + (-1 - (-6 - -3)). Which is smaller: g or -2/43? -2/43 Let d(r) = 40*r**3 - 3*r**2 - 1. Let m(x) = 80*x**3 - 6*x**2 - x - 2. Let v(c) = 7*d(c) - 3*m(c). Let p be v(1). Is 38 > p? False Let n be -2*(2 - 6/4)*39. Is n at most -29? True Suppose 0 = 5*o + 10 - 35, -v - 23 = -5*o. Let t be 46/8 + 3/12. Let b be v/(-22)*(-6 - t). Which is smaller: 1 or b? 1 Suppose 5*x + 2 - 23 = -j, 0 = 3*j + 2*x + 2. Let a be j/(-8)*32*-2. Let z = 46 + a. Is z < 1? False Let w = -285 + 298.3. Let m = w + 9.7. Which is smaller: 4 or m? 4 Suppose -100*u = -105*u. Is -2/17 equal to u? False Let b(a) = a**3 + 4*a**2 + a - 6. Let c(q) = q**2 - 4*q - 3. Let p be c(4). Let w be b(p). Which is bigger: -2/43 or w? w Let r = -1 + 3. Let z(q) = -q + 24. Let m be z(19). Suppose 5*t + m = 5*o, r*t - o - 3*o + 4 = 0. Which is greater: t or -3? t Let k be (-5)/(-10)*-4 - 452/(-212). Which is smaller: k or -1? -1 Let x(g) be the first derivative of -7*g**4/2 - 15. Suppose 0 = -5*a - 4 - 1. Let b be x(a). Are 13 and b equal? False Suppose 4*g - 13 = -b, 15 = 22*g - 17*g. Do -6/127 and b have the same value? False Let n = 84 - 82. Is 36 at most n? False Let v be -5 + (-388)/(-36) + 4/18. Let y be 2 - v - (-1)/1*4. Let w = 1605/11 + -146. Which is smaller: w or y? w Let o(y) = -4*y**2 - 16*y + 69. Let i be o(-15). Is i smaller than 1/4? True Suppose -209 - 45 = 4*z - 2*l, -4*z = -3*l + 253. Let q = 65 + z. Which is smaller: q or 2/19? 2/19 Suppose 0 = 4*p + 1 + 3. Let v = -910/9 - -31814/315. Which is greater: p or v? v Suppose 4*x + 3*p = 26, -14 = -7*x + 4*x - 5*p. Let n = x - 5. Let q = 0 - -1. Which is greater: n or q? n Let d = 93 - -43. Let o = d - 137. Is o at most 0.02? True Let m = 16 + -10. Let r be -3*m/(-15)*40/3. Is r <= 2/7? False Let b be (5 - (-28)/12) + 0 + 2. Is b less than 10? True Let k = 207610093/239250 - 75506/87. Let r = k - 12/125. Which is bigger: r or -1? r Let q be -4 - (-3 - (5 - 3)) - 16. Let b be 18/(-2) - (q + 15). Let c = -10 - 0. Is b > c? True Let u = 189 - 189.5. Which is greater: u or -0.23? -0.23 Let j(u) = -36*u**2 + 22*u - 39. Let a be j(2). Which is bigger: a or -137? -137 Let g = 0.19 - -0.91. Let s = g + -0.1. Let f = -4.1 + 5.2. Which is bigger: s or f? f Let s = -1 + -8. Let w be ((-24)/(-9))/((-6)/s). Suppose -2*g - 3*h = 7, 0*h - h - 19 = w*g. Which is smaller: g or 2/3? g Let d = -131.1 + 141. Let c = -12 + d. Is c not equal to -1? True Let y be 1/(-6) + 1247/174. Is 7 less than or equal to y? True Suppose 0 = -0*f - 4*f + 8. Suppose f*j = 54 - 32. Is 11 at least j? True Let c = -5.8 - -5.3. Suppose -3*a + 5*u = -0*u + 17, 3*u = 2*a + 10. Let j be 3/(-12) - a/(-4). Does c = j? False Let n = 96 - 127. Let f be (-29)/n - (-3)/(-9)*3. Are f and 1 unequal? True Suppose 3*v + 23 = 23. Suppose v*k - k = 7. Suppose 3*t + 6 = 2*t -
{ "pile_set_name": "DM Mathematics" }
False Is 3128467231 a prime number? True Is 48361561203 composite? True Is 51171187261 composite? True Is 1865647951 prime? True Is 251315327 prime? True Is 384649039 prime? True Is 4375373489 prime? True Is 1390296979 prime? True Is 2986387 a prime number? True Is 65323282211 prime? False Is 37456927133 composite? True Is 2054963051 a composite number? True Is 120358981969 prime? True Is 1466972489 prime? True Is 4850576311 a composite number? True Is 101534477 composite? True Is 796283311 a composite number? False Is 22561562411 a prime number? False Is 1955921683 prime? True Is 17470598798 a prime number? False Is 6361254957 a prime number? False Is 1777027481 composite? True Is 80045267 prime? False Is 154012511 a composite number? False Is 8215100093 prime? False Is 925263439 a composite number? True Is 1969327537 a composite number? False Is 1223960161 a prime number? True Is 495103303 composite? False Is 4543765217 a prime number? True Is 3249197803 composite? 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False Is 916325585039 a composite number? False Is 84622229 prime? True Is 15338410829 prime? False Is 4791509077 prime? True Is 474972989 prime? True Is 196492904393 a prime number? True Is 265840307 a prime number? False Is 1997309551 a composite number? True Is 8715612082 prime? False Is 613548191 a composite number? False Is 320394493 a composite number? False Is 3689259857 a prime number? False Is 7609840061 a prime number? False Is 3161568539 prime? True Is 65822770963 a composite number? False Is 1616643949 composite? False Is 985983959 a composite number? False Is 23667116701 a composite number? False Is 23913323069 composite? True Is 11545031273 prime? True Is 21787033511 a prime number? True Is 34451340431 composite? True Is 1017506233 a composite number? False Is 104160163 a prime number? False Is 5649289223 prime? False Is 79624282929 prime? False Is 336432787 a prime number? True Is 14040537769 a prime number? True Is 10122257811 composite? True Is 562616267 composite? 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True Is 1094779877 a composite number? True Is 66701933 a prime number? True Is 427447781 a composite number? False Is 93972039431 composite? False Is 18806775649 composite? False Is 10797139681 composite? False Is 38734525937 a composite number? False Is 1155305903 composite? False Is 65713915 a composite number? True Is 145910328359 composite? False Is 28862948362 a prime number? False Is 7101684287 prime? True Is 5272332931 a composite number? False Is 608637833 prime? False Is 9455042251 a composite number? False Is 6281728069 a composite number? True Is 1578557579 a prime number? True Is 18179461 a prime number? True Is 11810580623 a composite number? False Is 2451563087 a composite number? False Is 79417729 prime? True Is 1761644173 prime? True Is 2835275459 a prime number? True Is 248444357119 a composite number? True Is 722971307 prime? True Is 567370159 a composite number? True Is 29039842261 a prime number? False Is 12678839713 a prime number? False Is 64531753361 prime? False Is 158431627 composite? False Is 3135827941 a prime number? False Is 10847274421 a composite number? True Is 4136511259 a prime number? True Is 83123898073 prime? True Is 111737758751 prime? True Is 116393403887 a composite number? True Is 89175437173 a prime number? True Is 1034000327 composite? True Is 2231467999 composite? False Is 31560400757 a prime number? True Is 51482549159 a prime number? False Is 5497880511 a composite number? True Is 718122311 prime? True Is 99005014751 a composite number? False Is 3374663603 prime? False Is 3093118607 prime? False Is 108542333 a composite number? False Is 1836826721 a prime number? True Is 943840069 a prime number? False Is 77734825397 a prime number? False Is 20817140027 prime? False Is 12012030433 a prime number? False Is 401791969 composite? False Is 175638153274 prime? False Is 1114509329 a composite number? False Is 4504051379 composite? False Is 5636963051 composite? True Is 3345181627 composite? False Is 23140561 composite? True Is 53557811 prime? False Is 3572604687 composite? True Is 557122151 prime? True Is 14357640763 composite? False Is 865715155 prime? False Is 363548567 a composite number? False Is 3777428503 prime? False Is 2886977497 composite? False Is 494852395 a prime number? False Is 51872837 composite? False Is 6119331347 a prime number? False Is 33170449439 a prime number? True Is 40759312307 a prime number? False Is 11781963341 a composite number? True Is 1824745621 prime? False Is 699916319 a prime number? False Is 6433503199 composite? False Is 5286811877 a composite number? True Is 888867953 composite? False Is 49150977229 a prime number? True Is 27128835829 composite? True Is 2250085217 composite? False Is 3148840943 a prime number? False Is 211213147 a composite number? False Is 3701864897 a prime number? False Is 68076428591 prime? True Is 104297215174 a prime number? False Is 53014415177 prime? False Is 1769084581 a composite number? True Is 2662322629 prime? False Is 1423073677 a prime number? False Is 684244439 composite? False Is 1220045501 a prime number? True Is 204152329 prime? False Is 15882714619 a composite number? True Is 140037103 a composite number? False Is 32415805967 composite? False Is 5441613731 a prime number? True Is 14492833598 composite? True Is 76789217 a composite number? True Is 5591921987 composite? False Is 4648416503 a prime number? True Is 114055922 composite? True Is 10522727273 a prime number? False Is 102373049 prime? False Is 840523405 a prime number? False Is 322343513 composite? True Is 6217148923 a prime number? True Is 35086570807 a composite number? False Is 3126531593 a prime number? False Is 9403245043 composite? True Is 468499615 a composite number? True Is 2315025329 a prime number? True Is 19904755759 a prime number? False Is 24901995959 prime? True Is 27780258601 a composite number? False Is 391058489387 a composite number? False Is 9482767733 a prime number? False Is 2678570861 a composite number? True Is 217579475749 a composite number? False Is 535080901 a prime number? False Is 197493214 prime? False Is 2871731623 a composite number? False Is 29426658095 composite? True Is 317532245 prime? False Is 28551641 a prime number? True Is 1558547251 prime? True Is 81183493427 prime? Fa
{ "pile_set_name": "DM Mathematics" }
x/x**(-4)))*((x**1/x)/x*x)**(-3)/(x/((x**(-1/3)*x)/x))**(-45) assuming x is positive. x**(10976/51) Simplify (c**(-1/11)/(c*c**11))**(3/20)/((c*c/(c/(((c*c*c**(9/7)*c*c)/c)/c))*c*c)/c*c*c**8*c)**(-6) assuming c is positive. c**(138447/1540) Simplify (n/(n*n**1*n))/(n*n**(2/3)*n)*(n*n/n**(-4))/(n/n**(-3))*(n**(1/4))**(-5/14)/(n**(-2/5)/(n/n**(-3))) assuming n is positive. n**(1381/840) Simplify (s**(-4)*(s*s**(-2/7))/s)**(3/25)/((s/s**0)/s*s/(s/s**(-2/5))*(s/s**(-2/7))**(-2/21)) assuming s is positive. s**(2/245) Simplify ((s**4*s**(-9)*s*s/(s/(s**0/s))*s*(s/s**(-1/3)*s*s)/s*s)**(-43))**(-7) assuming s is positive. s**(-602/3) Simplify ((g**(-38))**(-34)*(g**23)**(-33/2))**46 assuming g is positive. g**41975 Simplify (a/((a*(a/a**(4/3))/a*a)/a)*a**(2/17)*(a**(-1/3)/a)**(-2/21))**(1/44) assuming a is positive. a**(845/23562) Simplify ((o*o**(-45))/((o**(-49)/o)/o*o))/(o**(17/5)*o*o*o**(8/15)) assuming o is positive. o**(1/15) Simplify (a**(-5/9)/(a*a*a*a**(3/2)/a)*(a*(a/(a*a/a**(-2/71)))/a)/(a/(a*(a/(a/a**(-4)*a))/a*a)))**(-16/3) assuming a is positive. a**(103096/1917) Simplify (n**(-1)/n*n*n/(n/(n/(n**(-3)*n)))*n*n)/((n*n**(2/13))/n**(-2/19))*(n/(n*n**(2/9))*(n**0*n)/n*n*n)**(1/8) assuming n is positive. n**(6587/2223) Simplify (v**(-29/5)*v**31)/(v/(v/(v/v**(-16/9)))*v/v**(-2/7)) assuming v is positive. v**(6658/315) Simplify (f/(f**(-16)/f)*f/(f/(f*f**(-3/29)*f*f))*f**1*f*f**(-23/3)/f)**(-8/7) assuming f is positive. f**(-9904/609) Simplify ((a**(-2/3))**(5/6)*a**(-6)*a**0*a)/((a**(-1/6)/(a**(-3)/a))/(((a/((a**(-4/5)*a*a*a)/a))/a)/a**(3/4))) assuming a is positive. a**(-2041/180) Simplify ((c/(c**(-1)/c))**(5/3))**(1/25)/((c/c**0*c)**(21/5))**(-6/13) assuming c is positive. c**(53/13) Simplify ((((j*j**(-8))/((j*j/j**(3/2)*j)/j))**(-25))**39)**(3/19) assuming j is positive. j**(43875/38) Simplify (h**8/h**(1/13))**(-10)*(h/(h*(((h**(-3)*h)/h)/h)/h)*(h*h**(-3))/h)**(7/8) assuming h is positive. h**(-4029/52) Simplify (o*o**(-6/5)*o*o**(-1/20)*o*o/o**(2/3)*o*o**(5/8)/o)**0 assuming o is positive. 1 Simplify ((n*n**(-1/2))**(-7)/(n**(-4/5)/n)**(4/11))**39 assuming n is positive. n**(-12207/110) Simplify ((d/d**(-1/3))**(1/62))**(6/5)/((d**(2/5))**(-31)/(d**(-1/5)*d/(d/(d**(1/8)/d)))) assuming d is positive. d**(2815/248) Simplify (b**(-1/3))**9*(b*(b**(-35)/b)/b*b)**(4/9) assuming b is positive. b**(-167/9) Simplify ((q*q**41*q)/q**(-5))/((q*q**(-5))/(q*q**42)) assuming q is positive. q**95 Simplify l/(l/(l**(-2/29)*l)*l)*l/(l/l**(8/7))*l*l*((((l/((l**(-16)*l)/l*l))/l)/l)/l)**47 assuming l is positive. l**(124657/203) Simplify (z**1)**(3/7)/(z**(2/9)/z*z*((z*(z**(3/7)*z)/z)/z)/z)*z*z*z*z**(-2/3)*z*z*z**4/z*z**(-6)/(z/(z/z**(-4)*z*z*z*z)) assuming z is positive. z**(91/9) Simplify ((q*q**14*q*q**(2/21))/(q**10*q**(2/21)))**18 assuming q is positive. q**108 Simplify ((q/q**(-2/5)*q)**30)**(-1/24)*(q**(1/2)*q**6)**(-7/3) assuming q is positive. q**(-109/6) Simplify ((i**0)**(-38)/(i*(i*i/(i/(i/(i*i**(-2)*i))))/i*i*i)**(-4))/(i*i**(-2/15)*i*i**(-2))**24 assuming i is positive. i**(96/5) Simplify ((m**16*m**27)/(m**(-11))**(-22))**(-10/3) assuming m is positive. m**(1990/3) Simplify ((b*b*b**(-9)*b*b)**22/((b/b**(1/47))/b**5))**(-15/8) assuming b is positive. b**(74715/376) Simplify ((o*o/(o/(o**1/o*o)*o)*o)**(-21))**(1/2)*o**(1/6)/o**7*((o**(-6)/o)/o)/o**(-2) assuming o is positive. o**(-203/6) Simplify (((b**(-8)/b)/b**(-3)*(b/(b*b**2*b))**(-26))**(-30))**15 assuming b is positive. b**(-32400) Simplify ((t*t/(t**4/t))**(-2/43))**(2/51)*((t*t*t*(t/(t/(t/t**(-2))))/t)/t)**(-42)/(t**(-2/5)*t)**(3/7) assuming t is positive. t**(-12914437/76755) Simplify (((u*u/(u*u**(-2/3)*u)*u)/u*u)**(-1/34))**(-1/3)*((u*u*u**(-6))/u*u*u*u**(-6)*u)**(1/23) assuming u is positive. u**(-2333/7038) Simplify ((g**(-3/8)*g)**(-19/3)/(g**(7/3)*g**(-2)))**(4/11) assuming g is positive. g**(-103/66) Simplify ((d*d**14)**(-2/141)*((d/(d**(-5/13)/d))/d)/(d**(-1)/d))**34 assuming d is positive. d**(65892/611) Simplify ((b*b/(b**18*b))**(-24)*b**(-8)/(b*b**(2/17)))**15 assuming b is positive. b**(101715/17) Simplify (x**(-2)/((x/((((x**(-2/3)/x)/x)/x)/x)*x)/x))**(4/9)/(((x/(x**2/x))/(x/x**(-2/13)))/(x/(x**0/x)*x)**12) assuming x is positive. x**(11845/351) Simplify ((k**(-1/4)*k/(k*k**(-2/5))*(k/(k**(-1/2)/k)*k)**(-22/7))**(12/5))**(1/10) assuming k is positive. k**(-651/250) Simplify ((g**(2/15))**33*g**25/g**(3/5))**(-1/7) assuming g is positive. g**(-144/35) Simplify ((p/p**(2/3))**46/(p**1*p)**(-12))/((p*p*p*p*p**(-3/2)*p)/p**7)**(5/6) assuming p is positive. p**(169/4) Simplify (g**5*(g*g**(-3))/g)**(-36)*((g*g/(g*(g*g**(-3))/g))/g)/g*g*g**0*g**(-1/5)/(g*g*g**(-2)) assuming g is positive. g**(-346/5) Simplify ((w*w**0)**13/((w*w**(2/23))/(w/((w*w**0)/w*w))))/((w**(2/5)*w)/(w*w*w/w**(3/2)*w)*(w/(w/(w/(w*w**1))))**(-3/7)) assuming w is positive. w**(20261/1610) Simplify (h*h*h**(-2/107)*h/(h*h**(-4/5)*h)*h*h*(h/((h**2*h)/h))/h**15)**(-31) assuming h is positive. h**(202647/535) Simplify ((((c*c**0)/c)**7*c**(2/7)/(c**(-2/5)*c))**(-29))**(8/5) assuming c is positive. c**(2552/175) Simplify ((x*x*x/(x/(x*x*x*(x*x/x**(-10))/x*x*x))*x*x)/(x*x**(-15/2))*x**(-11/2)/(x/x**(2/41)))**(-4/33) assuming x is positive. x**(-1096/451) Simplify ((w*w**(-4)/w)/w**(-3)*w*w**(-1/3)*w*w/w**(3/2))/(((w/(w/w**(-3)))/w*w*w*((w**(1/3)/w)/w)/w)/(w**(-1))**(-44)) assuming w is positive. w**(293/6) Simplify y/(y*y*y**(-1/8))*y**(-4/3)*y/y**2*y**(-1/3)/y*((y*y**(-1/7))**(-17))**(-48) assuming y is positive. y**(116741/168) Simplify ((t**(-9/8))**(-1/8)*t**(-5/4)/t**26)**(-12) assuming t is positive. t**(5205/16) Simplify ((h/(h/(h**(-8)/h)))**(-41)/(h**(-6)*h/((h**(-5)/h)/h)*h))**7 assuming h is positive. h**2562 Simplify (((j/((j*j**(1/11)*j*j)/j))/((j**5/j)/j)*(j*j**(1/4))**(-20))**(-49))**(-22) assuming j is positive. j**(-31360) Simplify (c**(-2/21)/c**0)/((c**(2/11)*c*c)/c**(-5))*(c**(-2/7))**(2/9)*((c**(-1)/c)/c)**(-8) assuming c is positive. c**(11545/693) Simplify (((q*q**(1/26)/q)/q)/(q**(8/5)*q*q))/(q*(q**(-30)*q)/q)**(-44) assuming q is positive. q**(-166473/130) Simplify (h/(h/(h/((h/h**35*h)/h))))/(h/h**(-4/13))*(h*h*(h/(h**(-3/4)*h))/h)/h*h**(2/33) assuming h is positive. h**(59207/1716) Simplify (((v**(1/4)*v*v/(((v/(v*v/((v*v**(1/2)*v)/v)))/v)/v)*v)/(v*v*v**8*v**2))**16)**(9/2) assuming v is positive. v**(-522) Simplify ((w/(w**(1/3)/w))/(w/(((w**(-3)/w*w)/w*w)/w)*w*w*w)*w**1*w*w**(-5))/(w**7*w*w*w**(-11))**6 assuming w is positive. w**(8/3) Simplify ((a/((a*a**2*a*a*a)/a))**(-17)*a**5*a**(2/5))/(a**3/((a/a**(2/3)*a)/a))**(-46) assuming a is positive. a**(2941/15) Simplify ((((z/(z/z**(-7)*z))/z)/z)**(-3/4)/(z/z**3*((z/z**(2/23))/z*z*z)/z))**(-2) assuming z is positive. z**(-395/23) Simplify (((q*(q**1/q)/q*q)/q)**(-36))**(2/107)*((q**(-1))**(2/17))**38 assuming q is positive. q**(-76/17) Simplify ((l/(l*l*l**0*l))/l)**(-3/11)*(l**(2/7)/l)**(-7)*l**(-4)/l**(-6/7)*((l/(l*l/l**(-6)))/l*l)/l*l/(l/l**(1/4)*l) assuming l is positive. l**(-1871/308) Simplify ((u*u/u**(1/3))**(5/11)*(u**5*u)/((u/((u/u**(-4))/u*u*u)*u)/u))/(u**(-4)/u*u/u**(2/15)*(u*(u**(1/2)*u)/u)**(-4/7)) assuming u is positive. u**(6448/385) Simplify (p**(-1/3))**(19/2)*(p/(p/(p*p*p**(2/9))))/(p**(-4/7)*p)*p**(7/3)*p*(p*p**(-2/5)*p)/p*(p*p*p**(-1)/p)**14 assuming p is positive. p**(1613/630) Simplify ((((g**7/g)/g)/g*g**(-4))/(g*g/(g**(6/11)*g)*g*g*g*g**4))/((g**(-3)*g**(-2/3))/(g**5/((g/(g*g**(-5/2)*g))/g))) assuming g is positive. g**(47/66) Simplify (v**(2/9)*v**(-1/3)/v)**(-2/29)/(((v/(v**3/v)*v)/((((v/v**0)/v)/v)/v))/((v*v/(v/v**3*v)*v)/v**(-2/9))) assuming v is positive. v**(200/87) Simplify ((v/(v**(-2)*v))**(-1/22)/(((v*(v/v**(2/9)*v)/v*v)/v)/v**(3/4)))/(v**3/(v*v**2)*(v/(v**(-2)/v))**(-14)) assuming v is positive. v**(21733/396) Simplify (((w/(w**(-4)/w*w))/w)/((w*w**(-3)*w*w)/w))/(w**(-5)/w**(-1/5))*(w*w**(2/7)*w/((w**(-1/14)*w*w)/w))**31 assuming w is positive. w**(3631/70) Simplify ((((f/(f/(f*f**(2/3)*f)*f))/f)/f)/(f/(f/f**(1/4))))**(2/29)*(f**3*f*f**(-3/4))**(-4/27) assuming f is positive. f**(-817/1566) Simplify (((s*s*s*s*s/(s**(-5)*s))/s*s*s/(s**7*s))/(s**1)**11)/((s*s*s*s**(2/7)*s*s**(2/5))/(s**(-6)/s**(-2/5))) assuming s is positive. s**(-135/7) Simplify k**(-5/3)*k**(-8)*((k*(k/k**(2/55))/k*k*k)/k)**(
{ "pile_set_name": "DM Mathematics" }
Give p(3). -109 Let i(y) = -27*y + 83. Calculate i(3). 2 Let y(o) = 2*o**3 + 3*o**2 - 5*o. Determine y(2). 18 Let d(b) = -b**3 - 9*b**2 + 11*b + 1. Determine d(-10). -9 Let z(d) = -38*d + 234. What is z(6)? 6 Let g(o) = -o**2 - 5*o - 5. What is g(-4)? -1 Let l(u) = 4*u**3 + 2*u**2 - u + 2. Give l(1). 7 Let u(i) = -i**2 + 12*i - 6. Determine u(8). 26 Let k(z) = 2*z**2 - 14*z + 20. Determine k(6). 8 Let m(v) = 3*v + 24. What is m(-8)? 0 Let r(c) = 3*c - 118. Calculate r(49). 29 Let r(q) = 4*q + 12. Calculate r(-8). -20 Let s(n) = 27*n + 2. Give s(-1). -25 Let v(q) = -q**3 - 11*q**2 + 3*q + 1. What is v(-11)? -32 Let u(g) = g**2 + g + 16. What is u(5)? 46 Let x(z) = -4*z**2 + 2*z - 10. Give x(0). -10 Let q(h) = -h**3 + 16*h**2 - 15*h + 18. Determine q(15). 18 Let f(k) = -k**3 + 7*k**2 + 4*k - 10. Determine f(8). -42 Let m(t) = -10*t**2 + 2*t + 1. Give m(-2). -43 Let i(d) = -4*d**2 + 22*d - 8. Give i(4). 16 Let v(o) = o**3 - 20*o**2 - 4. Determine v(20). -4 Let d(p) = -4*p**3 - p**2 - p + 1. What is d(1)? -5 Let d(a) = 6*a - 6. Give d(0). -6 Let o(i) = 16*i - 66. What is o(3)? -18 Let c(u) = u**2 + 21*u - 70. Give c(-23). -24 Let b(j) = 2*j**2 + 2*j + 13. Give b(0). 13 Let d(i) = -i**3 - 9*i**2 + 23*i + 12. Calculate d(-11). 1 Let w(q) = -q**2 + 20*q + 25. Calculate w(21). 4 Let q(m) = -m**3 - 5*m**2 - 5*m - 5. What is q(-5)? 20 Let b(j) = -j**3 + 20*j**2 - 4*j + 87. What is b(20)? 7 Let p(w) = -w**3 + 38*w**2 + 2*w - 70. Give p(38). 6 Let b(f) = f**3 - 12*f**2 - 13*f - 6. What is b(13)? -6 Let t(x) = -x**2 - 24*x - 43. What is t(-21)? 20 Let v(c) = -c**3 - c**2 + c + 40. Determine v(0). 40 Let b(n) = -n**2 - 11*n + 25. Calculate b(2). -1 Let l(d) = 3*d**3 - d**2 - 2*d - 4. What is l(0)? -4 Let x(u) = 61*u + 1. What is x(1)? 62 Let k(q) = -2*q - 49. What is k(-27)? 5 Let y(m) = -m**2 + 3*m - 24. What is y(0)? -24 Let c(j) = -3*j**2 + 2*j + 2. Give c(-2). -14 Let w(q) = q**2 - 23*q - 81. Determine w(26). -3 Let y(n) = -n**3 - 7*n**2 + 10*n + 8. Calculate y(-8). -8 Let h(d) = -2*d**2 - 2*d + 2. Determine h(6). -82 Let j(i) = -14*i - 226. Calculate j(-16). -2 Let r(d) = -d**2 + 17*d + 520. Determine r(33). -8 Let p(m) = -2*m**3 + m**2 + 7*m - 12. Give p(2). -10 Let s(u) = 3*u**2 + 12*u + 11. Determine s(-4). 11 Let s(p) = p**2 + 13*p - 20. Calculate s(-14). -6 Let i(d) = -d**3 - 14*d**2 - 2*d - 22. What is i(-14)? 6 Let d(b) = -2*b**3 - 5*b**2 + 8*b + 20. Calculate d(-4). 36 Let n(m) = m**2 + 7*m - 8. Give n(-9). 10 Let h(r) = -10*r + 19. Calculate h(7). -51 Let f(v) = 2*v**3 + 23*v**2 - 15*v - 40. What is f(-12)? -4 Let i(j) = -3*j + 10. Calculate i(11). -23 Let p(v) = -v**3 + 5*v**2 + 12*v - 73. Determine p(4). -9 Let y(j) = 2*j - 18. Calculate y(6). -6 Let h(q) = q**2 + 7*q + 4. Determine h(-6). -2 Let c(d) = -d**3 - 5*d**2 - 3*d - 1. Give c(-4). -5 Let w(q) = -q**2 + q + 101. Calculate w(0). 101 Let l(b) = 48*b**3 + b**2 - 3*b + 2. Determine l(1). 48 Let f(b) = b**2 + 15*b - 61. Determine f(-18). -7 Let j(c) = -c**2 + 30*c - 29. Determine j(24). 115 Let l(c) = -4*c + 24. Determine l(13). -28 Let c(s) = -6*s + 79. What is c(13)? 1 Let d(c) = -11*c**2 + 36*c - 3. Give d(3). 6 Let b(o) = o**2 - o - 13. Determine b(4). -1 Let f(j) = 5*j**2 + 12*j + 38. Determine f(-4). 70 Let i(k) = 3*k + 12. Calculate i(-6). -6 Let h(o) = 2*o**2 - 12*o - 7. Determine h(6). -7 Let q(f) = -37*f**2 + 12*f - 13. Determine q(1). -38 Let u(y) = y**2 + 24*y + 134. Give u(-8). 6 Let z(w) = w**2 + w + 3. What is z(-5)? 23 Let a(d) = 2*d + 36. Calculate a(-12). 12 Let x(q) = -10*q**3 - 3*q**2 + 5*q + 1. Determine x(2). -81 Let x(q) = -3*q + 30. Calculate x(7). 9 Let x(a) = a**3 - 33*a**2 - 70*a - 11. What is x(35)? -11 Let s(h) = h**2 + 2*h - 42. Determine s(-8). 6 Let s(p) = 2*p**2 - 15*p + 20. Determine s(6). 2 Let p(d) = -d**3 - 5*d**2 - 6*d - 13. Calculate p(-4). -5 Let s(l) = l**2 - 2*l. Give s(-5). 35 Let t(d) = -13*d + 2. Determine t(1). -11 Let w(m) = -m**3 + 8*m**2 - 7*m + 10. What is w(7)? 10 Let v(s) = -3*s**3 + 25*s**2 - 6*s - 34. What is v(8)? -18 Let b(k) = 105*k + 635. Determine b(-6). 5 Let g(p) = -4*p - 99. What is g(-28)? 13 Let q(l) = 4*l + 159. Determine q(-40). -1 Let a(n) = -n**3 + 13*n**2 + 3*n - 36. What is a(13)? 3 Let f(i) = 2*i - 35. Determine f(24). 13 Let l(f) = -3*f + 8. Calculate l(4). -4 Let n(q) = -q**3 + 9*q**2 - 6*q - 11. Give n(8). 5 Let h(y) = y**3 + 4*y**2 + 4*y + 4. What is h(-3)? 1 Let g(d) = -d**3 + 9*d**2 + d - 4. What is g(8)? 68 Let m(b) = -14*b + 5. Give m(-5). 75 Let k(i) = -i**2 + 25*i - 37. Determine k(21). 47 Let p(r) = -r**3 + 63*r**2 - 125*r + 192. Determine p(61). 9 Let z(y) = -y**2 + 2*y. Determine z(2). 0 Let t(v) = v**2 - 5*v - 9. Give t(5). -9 Let y(i) = 9*i + 3. Give y(-3). -24 Let i(b) = 30*b + 2. Determine i(-2). -58 Let k(l) = -4*l - 33. Calculate k(-11). 11 Let n(b) = -3*b - 48. Calculate n(-15). -3 Let y(w) = w**3 - 20*w**2 - 42*w - 43. What is y(22)? 1 Let r(i) = i - 11. Give r(11). 0 Let i(v) = -v**3 + 17*v**2 - 3*v - 400. Give i(15). 5 Let y(p) = -12*p - 1. What is y(5)? -61 Let f(h) = 6*h**3 + 3*h**2 - 3*h + 1. Give f(2). 55 Let u(s) = s**3 + 27*s**2 + 29*s + 27. Calculate u(-26). -51 Let f(j) = -j**2 - 14*j + 93. Give f(5). -2 Let j(h) = 3*h - 3. What is j(4)? 9 Let x(o) = -o + 2. What is x(-1)? 3 Let j(a) = -a**2 + 7*a + 10. Calculate j(-2). -8 Let r(f) = 16*f + 87. What is r(-6)? -9 Let o(s) = 26*s - 157. What is o(9)? 77 Let b(o) = o**2 - 11. What is b(3)? -2 Let u(q) = -q**3 - 4*q**2 + q + 7. What is u(-2)? -3 Let m(a) = -a**2 + 7*a + 55. Give m(13). -23 Let b(t) = 41*t - 2. Determine b(0). -2 Let u(p) = -p**3 - 8*p**2 + 8*p - 275. Give u(-11). 0 Let v(t) = -3*t**2 - 50*t - 81. Determine v(-15). -6 Let w(j) = -13*j + 49. Give w(5). -16 Let c(d) = d + 9. Determine c(0). 9 Let c(v) = -v**2 - v + 18. Give c(0). 18 Let w(y) = -5*y**2 + 20*y + 5. Calculate w(4). 5 Let i(r) = -r**2 + 13*r + 24. What is i(16)? -24 Let f(w) = w**3 - 30*w**2 + 30*w - 37. Calculate f(29). -8 Let z(b) = -7*b**2 + b + 4. What is z(-2)? -26 Let d(p) = -5*p**3 + 2*p**2 + 2*p - 3. Determine d(2). -31 Let h(z) = z**2 - 14*z + 45. Calculate h(7). -4 Let x(i) = -4*i + 12. Determine x(6). -12 Let l(r) = r**2 - 5*r + 3. Give l(4). -1 Let g(r) = -r**3 - r**2 - 1. Give g(0). -1 Let c(v) = -v**2 + 10*v + 32. Determine c(14). -24 Let q(h) = 3*h**2 - 10*h. What is q(4)? 8 Let j(x) = x**2 + 22*x - 9. Calculate j(-25). 66 Let h(i) = 3*i**2 - i - 3. Give h(-3). 27 Let q(p) = p**3 + 5*p**2 - 37*p - 164. Give q(-7). -3 Let k(l) = 5*l**2 - 9*l + 1. Determine k(6). 127 Let u(v) = v**2 + 25*v + 26. Determine u(-18). -100 Let t(p) = -8*p + 175. Determine t(25). -25 Let n(y) = -y**3 - 6*y**2 + 12*y + 29. Calculate n(-7). -6 Let t(i) = i**3 - i**2 - 9*i - 3. Determine t(3). -12 Let x(n) = n**2 - 10*n + 12. What is x(9)? 3 Let c(q) = 21*q - 169. Calculate c(8). -1 Let d(y) = -y**2 - 4*y + 2. Calculate d(3). -19 Let x(c) = -6*c + 71. Give x(17). -31 Let g(s) = s**3 + 23*s**2 - 3*s - 65. Determine g(-23). 4 Let f(d) = -d**2 + d + 2. Give f(-3). -10 Let v(x) = 7*x + 36. Calculate v(12). 120 Let x(a) = -a**3 + 21*a**2 + 20*a + 2. Calculate x(22). -42 Let p(s) = s**3 - 11*s**2 + 7*s + 7. Give p(10). -23 Let n(k) = -10*k + 3. Determine n(-6). 63 Let k(m) = -m - 20. Calculate k(-14). -6 Let v(w) = 13*w + 74. Determine v(-8). -30 Let l(s) = -s**3 + 17*s**2 - 17*s - 15. Determine l(16). -31 Let i(o) = o + 10. Give i(9). 19 Let h(n) = 3*n**2 - 8*n + 3. Calculate h(2). -1 Let x(b) = -b**3 - 6*b**2 + b + 8. Calculate x(-6). 2 Let w(f) = 2*f - 2. Determine w(-1). -4 Let v(n) = n**2 - 17*n + 26. Determine v(15). -4 Let y(u) = -3*u**2 - 3*u - 2. What is y(-1)? -2 Let k(o) = o**3 - o**2 + o + 2. What is k(0)? 2 Let j(d) = 2*d - 6. What is j(14)? 22 Let f(j) = 5*j**3 + j**2 - 1. What is f(-1)? -5 Let r(m) = -m**3 + 3*m**2 + 4*m + 6. Determine r(5). -24 Let p(m) = m**3 - 7*m + 10. What is p(4)? 46 Let o(f) = -8*f**2 + f + 1. Give o(1). -6 Let w(a) = -a**3 - 32*a**2 - a - 40. Give w(-32). -8 Let o(b) = -b**3 - 5*b**2 + 3*b + 4. Determine o(-4). -24 Let q(i) = -i**3 - 15*i**2 - 36*i - 2. Calculate q(-12). -2 Let w(o) = 9*o + 35. Calculate w(-6). -19 Let t(k) = 13*k**3 - k**2 - k + 1. Determine t(1). 12 Let m(w) = -4*w**2 + 4*w - 4. What is m(3)? -28 Let g(l) = 2*l - 6. Give
{ "pile_set_name": "DM Mathematics" }
3*d + 6*a = 3*a + 3. Suppose -2*k = d*k - 320. What is the highest common factor of k and 16? 16 Let p be (-5 + -2)*((-240)/28 - 0). Let z = 3 - 2. Let r be (z - -15)/(16/40). What is the greatest common factor of p and r? 20 Suppose -5*x - 10*r + 6*r + 950 = 0, -3*x - 4*r = -570. What is the highest common divisor of x and 30? 10 Let r = 440 + -248. Calculate the greatest common divisor of r and 24. 24 Let y be ((828/30)/2)/((-6)/(-20)). Calculate the highest common factor of 1886 and y. 46 Suppose -2394 = -5*i - 14*i. Calculate the highest common factor of i and 70. 14 Let g(f) = f**3 - 2*f**2 + f + 4. Let u be g(3). Let q be (-282)/(-7) - 13/637*14. What is the highest common factor of q and u? 8 Suppose -b - d = 0, 0*d = -4*b + 4*d + 24. Suppose b = -q - 7. Let n be 6/q - 7260/(-100). Calculate the highest common divisor of 9 and n. 9 Let r = 18 + 3. Let u = 5 + 2. What is the greatest common divisor of r and u? 7 Let p be 6 + 27/(-6)*2/3. Suppose 4*m + 28 = 4*w, 0*w = 4*w + 2*m + 2. Let b be ((-5)/w)/(-5)*2. Calculate the greatest common divisor of b and p. 1 Let r = 11 + -9. Suppose 4*d = 4*c + 248, -70 + 14 = -d - r*c. Calculate the greatest common factor of d and 15. 15 Suppose 0 = -5*h + a + 152, 44 = 3*h - 3*a - 40. Let i = 52 - h. Let d be 1 + 20/(2/2). What is the greatest common factor of d and i? 21 Suppose -2*x - 30 + 112 = 0. Suppose -2*i = -x - 67. What is the highest common divisor of 36 and i? 18 Let t(v) = -v - 1. Let b be t(-4). Suppose -b*j + 17 - 5 = 0. Suppose -j*f + f + 4*d = -94, -d - 1 = 0. Calculate the highest common factor of 45 and f. 15 Suppose -7*f - 2*j + 65 = -2*f, 10 = -2*j. Suppose f = -5*x + 85. Let m = 151 - 137. Calculate the highest common divisor of m and x. 14 Suppose 19*x + 644 = 42*x. What is the greatest common factor of x and 1484? 28 Let k be (-4 + 4)/(-5) + 2. Suppose -5*u - 3 = 3*r, 3*u + k = 3*r - 19. Calculate the highest common divisor of 4 and r. 4 Let t = -116 - -118. Suppose -t*v - 7 = -2*y + 31, 2*y + 4*v = 32. Suppose 436 + 158 = 3*g. What is the highest common factor of y and g? 18 Let q = 193 - 177. Calculate the highest common divisor of 488 and q. 8 Let z be (-140)/63 + 4/18. Let b = z - -9. Let h = b + 13. What is the greatest common factor of h and 4? 4 Suppose 0 = -12*s + 11*s + 21. What is the highest common divisor of 42 and s? 21 Let n(l) = l + 3. Suppose 7*b = 5*b - 4. Let v be n(b). Calculate the greatest common divisor of v and 2. 1 Let y be (-6)/(48/(-196)) + 1/(-2). Let k = 18 + -6. What is the greatest common factor of y and k? 12 Suppose 14 = 2*i + 6. Suppose -3*g = 6, 3*g + 6 = p - i. Calculate the greatest common divisor of p and 20. 4 Let p be 4081/91 - -6 - (-4)/26. Suppose 3*n + p = 3*s, s = -2*s - n + 35. What is the highest common divisor of 26 and s? 13 Let x = -211 - -219. Let c = -14 + 6. Let s be c/12 - 74/(-3). Calculate the greatest common divisor of s and x. 8 Suppose -3 = -2*k + 5. Let a be (-80)/(-4) - 2/(k/(-6)). Let g be (-276)/(-8)*(-8)/(-3). Calculate the highest common factor of g and a. 23 Let m(i) = 11*i - 1. Let w be m(6). Suppose 336*s + 52 = 340*s. What is the greatest common factor of w and s? 13 Let o be 15*((-12)/9)/(2/5). Let h = o - -167. Suppose -3*q + 49 = 10. Calculate the greatest common divisor of q and h. 13 Suppose 4 + 100 = 4*p + 4*r, 5*r = 4*p - 149. Suppose -3*u + 3*h = -45, -8 - p = -2*u - h. Calculate the greatest common divisor of 2 and u. 2 Suppose -d + 2*u = -323, 3*u = 15*d - 16*d + 323. Calculate the highest common factor of d and 17. 17 Suppose 5*y + 10 = -2*i + 45, 3*y = 9. Suppose -12*k + 227 = -73. What is the highest common divisor of i and k? 5 Let j(w) = -45*w - 110. Let d be j(-11). Calculate the highest common factor of 55 and d. 55 Let d be (-2)/(-4)*32 - 4/4. What is the greatest common factor of d and 105? 15 Suppose 4*d + 67 = 151. What is the greatest common factor of 56 and d? 7 Let q = -23 - -599. What is the highest common factor of 72 and q? 72 Suppose -4*a - y + 94 = -3*y, 5*y - 65 = -2*a. Let q be 3 + -2 - (-50 - 2/(-2)). Calculate the highest common divisor of a and q. 25 Let j be 1/(-1)*(-1 + -23). Suppose 80*m - 90*m + 720 = 0. What is the greatest common divisor of m and j? 24 Let l = 43 + -38. Suppose -3*u - l*u = -288. Calculate the highest common divisor of u and 108. 36 Let k(o) = -5*o - 28. Let z be k(-10). Suppose 2*a - 4*a - 12 = 0. Let d be 58 - 3/(-6)*a. What is the highest common factor of d and z? 11 Let d(r) = -5*r + 13. Let g be d(-2). Calculate the greatest common divisor of g and 621. 23 Let t = 1826 + -1793. Let u(o) = -12*o**3 - 2*o**2 - o. Let x be u(-1). Calculate the greatest common factor of x and t. 11 Let v be ((-4)/10 - 28/30)*-57. Calculate the highest common factor of v and 4. 4 Suppose 5*w + 27 = 117. Calculate the greatest common divisor of w and 1224. 18 Let f(y) = -y**3 - 2*y**2 - y. Let w be f(-5). Let z be 0*(0 + -1 - 0). Suppose 3*d - 7*d + 80 = z. What is the highest common factor of w and d? 20 Suppose 33 = 6*h - 9. Suppose 6*y - 17 = h. What is the highest common divisor of y and 20? 4 Let a be (-3)/4 - (-979)/356. Calculate the greatest common divisor of a and 22. 2 Let b be (2772/90)/((-6)/(-105)). Calculate the highest common divisor of 49 and b. 49 Suppose 19 = -4*y - 2*u + 61, -y = 4*u + 7. What is the highest common factor of y and 6? 1 Let t = -31 + 91. Let o = 14 + -7. Let s = 22 - o. Calculate the highest common factor of s and t. 15 Let i be (-2 - 1) + 101 - 0. Suppose 0*g - 7*g = -i. What is the greatest common factor of 140 and g? 14 Let i = 22 - 9. Let o = -16 + 18. Let j be -3 - (-71*o - 4). Calculate the greatest common factor of i and j. 13 Let z be -4*(65/40 + 2)*-4. Calculate the highest common divisor of 2 and z. 2 Suppose d - 15 = 11. Suppose 2*y + 4*h - 240 = 0, -3*y + 274 = -3*h - 131. What is the highest common divisor of y and d? 26 Let q be 100/30*(-51)/2. Let x = q + 151. Let t(m) = m**3 + 4*m**2 - 6*m + 1. Let k be t(-5). What is the highest common factor of x and k? 6 Let x(q) be the third derivative of q**5/30 - 5*q**3/3 + 28*q**2. Let a be x(-5). What is the highest common factor of 24 and a? 8 Suppose 15*a + 22*a - 666 = 0. Suppose -2*h = -q + 2*q - 182, -3*q = 5*h - 456. Suppose h = 4*c + c. Calculate the greatest common divisor of a and c. 18 Suppose 2*v = -0*h + 5*h + 133, -2*v - 3*h = -93. Calculate the greatest common divisor of v and 63. 9 Let w(d) = -2*d**3 - d**2 + d + 2. Let x(c) = -c**3 - c. Let y be x(1). Let i be w(y). Suppose f + f - i = 0. What is the highest common divisor of f and 4? 2 Let n(z) = z**3 - 14*z**2 + 2*z - 12. Let q be n(14). What is the greatest common factor of 272 and q? 16 Let g(u) = -3*u + 107. Let i be g(5). Calculate the greatest common factor of i and 138. 46 Let l be (-864)/45*(-6 - 3/(-3)). What is the highest common divisor of 6 and l? 6 Let d be (-6)/((-2)/141*3). Suppose p + d = 4*s, 5*s - 3*p - 77 = 101. Suppose -3*z + 11 = 4*i, -5 = 3*i + 2*i. What is the highest common factor of s and z? 5 Suppose 0 = -286*s + 284*s + 290. What is the highest common factor of s and 29? 29 Let r be (3/(-2))/(1/(-6)). Let n be -3*(348/r - 3). Let k = n - -206. Calculate the highest common factor of k and 11. 11 Let p = -1 - 3. Let z(v) = -3*v**2 + 22*v - 9. Let h be z(7). Let s be (p - -3)*(-31 + h). What is the highest common divisor of s and 22? 11 Let c = -22 + 25. Let o be 43 - 7/((-7)/c). Suppose 5*w - 16 - 99 = 0. What is the highest common factor of w and o? 23 Let d = 57 - 54. Let h be (d - -45)*(-5)/(-2). What is the greatest common divisor of h and 24? 24 Let d be (4/2)/((-7)/(-14)). Suppose 0 = -4*n - 5*r + 23 + d, n + r = 6. Suppose 0 = n*z - 67 - 41. What is the greatest common divisor of 12 and z? 12 Let c = -338 - -348. Suppose 4*q = -2*j + 40, -2*j - 12 = -q - 52. What is the greatest common factor of c and j? 10 Let p be 0 + (-904)/(-10) + 124/(-310). What is the greatest common divisor of 150 and p? 30 Suppose -3*l = 2*l + 3*k - 329, -5*l - 5*k = -335. Let t(u) = u**3 + 9*u**2 - 12*u - 4. Let f be t(-10). What is the greatest common divisor of l and f? 16 Suppose 272 = 14*i - 22. Calculate the highest common factor of 14 and i. 7 Suppose -12 = -2*n - 2, 0 = -3*i - 3*n + 105. Let j = i
{ "pile_set_name": "DM Mathematics" }
de 1118? True Does 14 divide 224? True Is 504 even? True Does 3 divide 1838? False Does 2 divide 8712? True Does 19 divide 1053? False Does 24 divide 1152? True Is 16 a factor of 190? False Is 84 a factor of 1596? True Is 342 a multiple of 38? True Is 65632 a multiple of 11? False Is 828 a multiple of 92? True Does 3 divide 14218? False Is 11658 a multiple of 87? True Is 442 a multiple of 8? False Is 28 a factor of 2016? True Is 16 a factor of 5536? True Does 10 divide 4251? False Is 115 a multiple of 4? False Is 2744 a multiple of 56? True Is 70 a factor of 69160? True Is 224 a factor of 9856? True Is 635 a multiple of 17? False Is 33074 a multiple of 103? False Does 5 divide 165? True Does 44 divide 704? True Is 203 even? False Is 1248 a multiple of 4? True Is 920 a multiple of 27? False Is 45 a factor of 3949? False Is 7227 a multiple of 33? True Is 46 a factor of 42412? True Is 58525 a multiple of 14? False Is 175 a multiple of 5? True Is 2715 a multiple of 13? False Does 20 divide 20? True Does 21 divide 1562? False Is 1083 a multiple of 19? True Is 1276 a multiple of 22? True Does 11 divide 1689? False Is 59 a factor of 6844? True Does 5 divide 1589? False Is 56406 a multiple of 100? False Is 1551 a multiple of 5? False Does 3 divide 122? False Is 9 a factor of 42? False Is 54 a factor of 108? True Is 709 a multiple of 28? False Does 11 divide 462? True Is 110 a factor of 6050? True Is 236 a multiple of 5? False Does 35 divide 1365? True Is 95 a factor of 30115? True Is 2398 a multiple of 78? False Is 3 a factor of 546? True Is 21 a factor of 2100? True Does 3 divide 1849? False Does 2 divide 2347? False Does 126 divide 4361? False Is 540 a multiple of 15? True Is 5 a factor of 1615? True Does 21 divide 1913? False Is 6363 a multiple of 26? False Does 5 divide 517? False Is 7194 a multiple of 11? True Is 10948 a multiple of 17? True Is 34374 a multiple of 217? False Does 29 divide 1745? False Is 677 a multiple of 2? False Is 8 a factor of 392? True Is 272 a multiple of 3? False Is 3806 a multiple of 11? True Is 5 a factor of 2535? True Does 13 divide 490? False Does 3 divide 793? False Does 8 divide 568? True Is 11 a factor of 2975? False Does 19 divide 3291? False Is 54 a factor of 9072? True Is 940 a multiple of 13? False Is 379 a multiple of 16? False Is 79 a factor of 17775? True Is 13 a multiple of 2? False Does 67 divide 8957? False Is 2190 a multiple of 51? False Does 75 divide 1500? True Is 17 a factor of 16091? False Is 12 a factor of 7318? False Does 28 divide 476? True Does 3 divide 219? True Does 19 divide 22819? True Is 116 a factor of 17516? True Does 28 divide 252? True Is 13 a factor of 1495? True Does 18 divide 3672? True Does 6 divide 19865? False Is 353 even? False Is 24 a factor of 1376? False Is 16252 a multiple of 17? True Is 832 a multiple of 16? True Is 702 a multiple of 19? False Is 6 a multiple of 6? True Is 39 a factor of 2073? False Does 24 divide 775? False Is 43 a factor of 172? True Does 5 divide 1165? True Does 8 divide 596? False Is 4743 a multiple of 51? True Does 19 divide 16398? False Is 13 a factor of 7239? False Is 145918 a multiple of 265? False Does 30 divide 324? False Is 82 a factor of 2140? False Does 45 divide 958? False Is 28 a factor of 551? False Does 3 divide 32? False Is 4056 a multiple of 78? True Is 15 a factor of 660? True Does 10 divide 399? False Is 204 a multiple of 34? True Is 39429 a multiple of 164? False Does 99 divide 9504? True Does 71 divide 50978? True Is 54 a factor of 1105? False Does 11 divide 6581? False Is 47704 a multiple of 89? True Does 62 divide 1585? False Is 77 a factor of 1043? False Does 5 divide 215? True Is 5 a factor of 3957? False Is 339 a factor of 75667? False Does 14 divide 60018? True Is 119 a factor of 6188? True Is 8 a factor of 3432? True Is 25 a factor of 900? True Does 40 divide 3889? False Is 25760 a multiple of 10? True Does 15 divide 762? False Is 16 a factor of 1679? False Is 604 a multiple of 5? False Is 26 a factor of 1688? False Is 208 a factor of 18096? True Is 3381 a multiple of 21? True Is 234 a multiple of 13? True Is 6080 a multiple of 40? True Is 34 a factor of 18142? False Is 52 a factor of 624? True Is 1952 a multiple of 29? False Is 65 a factor of 29895? False Is 35 a factor of 5250? True Is 2145 a multiple of 87? False Does 100 divide 1200? True Is 13769 a multiple of 7? True Is 465 a multiple of 22? False Is 299 a multiple of 30? False Is 54 a multiple of 9? True Is 702 a multiple of 12? False Does 77 divide 2156? True Is 13019 a multiple of 4? False Is 9344 a multiple of 128? True Does 18 divide 3155? False Is 47 a multiple of 11? False Is 336 a multiple of 7? True Is 60 a factor of 6240? True Is 4224 a multiple of 22? True Is 2599 a multiple of 23? True Is 8 a factor of 440? True Is 1422 a multiple of 9? True Does 31 divide 11812? False Is 30960 a multiple of 10? True Is 25 a factor of 19989? False Does 26 divide 104? True Does 6 divide 8699? False Does 37 divide 740? True Does 14 divide 2352? True Is 423 a multiple of 9? True Is 53 a factor of 924? False Is 2613 a multiple of 13? True Does 16 divide 4448? True Is 10 a factor of 55703? False Does 8 divide 165? False Is 4950 a multiple of 33? True Does 24 divide 4896? True Is 1220 a multiple of 5? True Is 1330 a multiple of 7? True Is 12 a factor of 14724? True Is 3 a factor of 57? True Does 13 divide 20099? False Does 82 divide 984? True Does 10 divide 648? False Is 65 a factor of 4636? False Is 62 a factor of 1550? True Is 50 a factor of 13762? False Is 8 a factor of 1075? False Does 15 divide 38565? True Is 40 a factor of 1088? False Is 14 a factor of 350? True Does 55 divide 4730? True Does 42 divide 5745? False Is 2 a factor of 464? True Is 164 a factor of 45442? False Is 6 a factor of 438? True Is 14102 a multiple of 4? False Is 123 a factor of 5781? True Does 15 divide 210? True Does 28 divide 30128? True Is 50 a factor of 237? False Does 92 divide 13677? False Does 3 divide 4983? True Is 20 a factor of 292? False Is 1998 a multiple of 36? False Is 91 a factor of 2730? True Does 8 divide 1792? True Is 14 a factor of 1568? True Does 50 divide 1000? True Does 53 divide 2346? False Does 28 divide 322? False Does 6 divide 52? False Does 5 divide 3764? False Is 2044 a multiple of 28? True Is 670 a multiple of 24? False Is 37328 a multiple of 3? False Does 10 divide 864? False Is 24 a factor of 20744? False Is 202 a factor of 22257? False Is 13 a factor of 1285? False Is 55 a factor of 1827? False Is 441 a multiple of 63? True Is 10 a factor of 1210? True Is 9 a factor of 481? False Is 1036 a multiple of 3? False Does 6 divide 366? True Is 8644 a multiple of 6? False Is 188 a multiple of 19? False Is 23 a factor of 414? True Is 1629 a multiple of 105? False Does 31 divide 2459? False Is 4326 a multiple of 41? False Is 23 a factor of 42987? True Is 23 a factor of 322? True Is 35 a factor of 21000? True Is 2508 a multiple of 57? True Does 13 divide 1664? True Is 12 a factor of 144? True Does 45 divide 8369? False Is 105 a multiple of 21? True Is 100 a factor of 11579? False Does 209 divide 5434? True Is 14 a factor of 52789? False Is 45 a factor of 84661? False Is 296 even? True Is 12816 a multiple of 35? False Does 332 divide 9296? True Does 31 divide 33232? True Is 195 a multiple of 5? True Is 63 a factor of 882? True Is 15 a factor of 29408? False Is 72 a factor of 947? False Does 24 divide 7392? True Does 31 divide 13682? False Does 9 divide 11736? True Is 9 a factor of 22165? False Is 1098 a multiple of 10? False Does 14 divide 27964? False Is 5 a factor of 750? True Is 1276 a multiple of 58? True Is 7670 a multiple of 175? False Does 75 divide 18075? True Is 5 a factor of 814? False Does 6 divide 4674? True Is 1095 a multiple of 73? True Is 11 a factor of 13882? True Is 14 a factor of 15456? True Is 24 a factor of 40619? False Is 19085 a multiple of 11? True Is 9 a factor of 1755? True Does 17 divide 2155? False Does 49 divide 4516? False Does 42 divide 1075? False Is 131 a factor of 31974? False Does 12 divide 6636? True Is 6084 a multiple of 36? True Does 34 divide 4930? True Does 3 divide 2491? False Is 11122 a multiple of 67? True Is 6 a factor of 528? True Is 966 a m
{ "pile_set_name": "DM Mathematics" }
What is the least common multiple of 8 and f(3)? 56 Let b(m) = m - 1. Let f be b(4). What is the common denominator of 0 - (1 + (-34)/f) and 51/10? 30 Suppose -2*p + 33246 - 12984 = 0. Let r be (-3)/8*p/18. Let n = -211 - r. What is the common denominator of 125/12 and n? 48 Suppose 3*i + 32 = -i. What is the least common multiple of (-32)/(-6) - (-1)/(-3) and 24/9*(-6)/i? 10 Suppose -v - f = -7, 0 = -2*f + 4*f + 8. Let g = -740 - -749. Calculate the lowest common multiple of v and g. 99 Let l = 270 + -550. Find the common denominator of 2*5/l*(-4)/3 and -1/21. 21 Suppose 6*t + 14 = 32. Suppose 5*c - 36 = -4*h, 2*h + t*c + 2*c = 28. Calculate the smallest common multiple of h and 14. 28 Let a(n) = n + 1. Let v(g) = g + 1. Suppose 0 = -2*h - 1 + 3. Let b(c) = h*v(c) + a(c). Calculate the lowest common multiple of 24 and b(1). 24 Suppose -5*i - 461 = -3*n, 2*n - 2*i - 253 = 53. Calculate the smallest common multiple of n and 20. 760 Let s = 23752 - 95853/4. Let g = s + 227. Find the common denominator of g and -115/112. 112 Find the common denominator of -25/16 and -2 + -1 + 10 + 128/(-6). 48 Let c = -4/83 - -3356/747. Find the common denominator of ((-238)/(-20))/((-18)/10) and c. 18 Suppose 3*q + 2292 = 7*q. Let m be (q/9)/(1/(-3)). Let k = 4241/22 + m. Calculate the common denominator of k and -3/4. 44 Let q = 2875 - 2603. What is the smallest common multiple of q and 52? 3536 Let u = -11431/48 - -718/3. What is the common denominator of u and (-35)/(-28)*214/25? 80 Let p be (-9)/18 + (-523)/(-830). Let o = p - 22353/9130. Calculate the common denominator of (30/16 + 0)*2/(-3) and o. 44 Let f = -803/161 - -71083/19320. Calculate the common denominator of f and 47/70. 840 Let t = -8964162/7 + 1283105. Let a = -2502 + t. What is the common denominator of a and -79/2? 14 Let t be (-1319)/6*1/(4/(-50)). Suppose -2*u + f - 5494 = 0, -5*f - 7432 = 5*u + 6288. Let y = t + u. Find the common denominator of 67/22 and y. 132 Let d = 58416929/74382 + -8639/11. Let j = -92411/20286 - d. Calculate the common denominator of -39/8 and j. 72 Let i(p) be the third derivative of p**5/15 - p**4/12 - 11*p**2. What is the lowest common multiple of (6/(-8))/(1/(-12)) and i(2)? 36 Suppose 26 = -4*b + b + 4*z, b = -2*z + 8. What is the smallest common multiple of 11 and 3 - 1/(225/(-111) - b)? 440 Let h = -36 + 40. Calculate the lowest common multiple of h and 20. 20 Suppose 2*q + 0*q + y - 738 = 0, -3*y - 6 = 0. Let g = -345 - -599/2. Calculate the common denominator of 195/q - 3/(-6) and g. 74 Calculate the smallest common multiple of 115 and ((-6)/(-4) + 4)/((-16)/(-736)). 1265 Calculate the common denominator of -5 - (4/10 - 6945/(-450)) and -46/5. 30 Let o = -6 + 10. What is the smallest common multiple of 12 and 1/o*2*30? 60 Let i(u) = 20*u - 20. Let q be i(-10). Let h be (-690)/q + 1/4. Let j = h - 260/11. What is the common denominator of j and 29/12? 12 Calculate the common denominator of (3 - 3) + 1666/(-10608) and -79/208. 624 Let k = 286 - 265. What is the least common multiple of 66 and k? 462 Let t be 40/2650 + (-4)/(-10). Let s = 21871/212 - t. Let p = -353/4 + s. What is the common denominator of -22/3 and p? 6 Let u = 5962 - 2676939/449. Let n = -9427/898 + u. Find the common denominator of (2/(-5))/((-64)/80) and n. 2 Let w = 5 - 3. Suppose w - 722 = 5*i. Calculate the common denominator of -2*(-111)/i*-4 and 21/4. 12 Calculate the least common multiple of 42 and (-110)/66 + 46/6. 42 Suppose 4*t - 33 + 13 = 0. Suppose -g + 108 = t*j + 2*g, 4*j = 3*g + 108. What is the least common multiple of j and 3? 24 Let p = -2/327200603 - 828481415613355/21595239798. Let j = -38362 - p. Calculate the common denominator of j and -1/6. 66 Let o = 25952/2445 + -7/489. What is the common denominator of (-718)/(-126) - ((-777)/49 + 16) and o? 45 Suppose 0 = g - 4*t - 6, -2*t + 2 - 6 = 0. Let i be 16 - 23 - (0 - -41). What is the common denominator of -137/12 and g + ((-236)/i - -2)? 12 Let y(x) = x**3 - 1. Let a be y(-2). Calculate the common denominator of (18*-3)/(a - 2) and (2/(-55))/(8/310). 22 Let r = 2826 + 4098. Let a = r - 2047. Let o = 29341/6 - a. Calculate the common denominator of 33/8 and o. 24 Let v = 30 - 29. Find the common denominator of 115/18 and v - 4 - 85/4. 36 Let c be (-1 - -1) + -6 + 1 + 27. Find the common denominator of 83/2 and (60/48)/(c/(-60)). 22 Suppose -i - 3 = 0, -1593 = -2*h + 3*i + 504. Let q = h - 6287/6. Let t = -7135/4 - -1805. Calculate the common denominator of q and t. 12 Suppose 0 = 6*v + v - 21. Suppose 2*g = -c + 18, 4*c + v*g - 69 = -c. Let o = 45 + -15. What is the lowest common multiple of c and o? 60 Let p be 1829/2 + 4/(-8). Let w = -1787/2 + p. Find the common denominator of w and -4/5. 10 Suppose -18 - 16 = -2*h. What is the common denominator of 37/9 and h/12 + -2 + -3? 36 Find the common denominator of -5/33 and (-165)/189 - (-3 + 1). 693 Let b be (-69391)/196 + 8/28. Let x = b + 332. Calculate the common denominator of x and 25. 4 Let l(h) be the first derivative of h**3/3 - 4*h**2 + 17*h + 2. Let y be l(5). Find the common denominator of -15/7 and 462/90 - y/6. 35 Suppose 25*q - 23*q - 22 = 0. Calculate the lowest common multiple of q and 1. 11 Let j(c) = -c**3 - 15*c**2 + 16*c + 8. Let y be j(-16). Suppose -6*q = -y*q. Suppose q = 5*d - 40 + 25. What is the least common multiple of d and 2? 6 What is the least common multiple of ((-22)/(-66))/(3/306) and 34? 34 Suppose 22 + 14 = -5*z - 4*l, 3*l + 5 = -z. Let p be 166/5*(-20)/z. Find the common denominator of -55/6 and (p/14)/(0 - -1). 42 Let s = -7/324 - -3479/3564. Find the common denominator of s and 1058/(-414)*(-9)/20. 220 Calculate the least common multiple of 9 - (466 + 3)/(-1) and 20. 4780 Let x be (194*1/(-5))/(128/(-7000)). Let d = 2127 - x. Calculate the common denominator of d and 54/19. 152 Let n = -8491/460 - -24/115. Find the common denominator of 87/44 and n. 44 Let a = 25897/27 - 959. Find the common denominator of a and -76/27. 27 Suppose c = -4*j + 4, 4*c - j + 3*j = -12. Find the common denominator of (-141)/72*(-16)/c and -47/5. 30 What is the common denominator of ((-2852)/7912)/((-13)/(-4) - 1) and -53/30? 3870 Suppose -5*o = -3*o - 46. Suppose -h + 9 = o. Let c = -8 - h. Calculate the lowest common multiple of c and 10. 30 Find the common denominator of ((-212)/6)/((-1120)/168) and ((-321)/27)/(4/3). 60 Let q = -5 + -8. Let g be 54/q - (-8)/52. Let h = g + 26. Calculate the lowest common multiple of h and 2. 22 Let m = 52013/100408 - 2/12551. Find the common denominator of m and -179/60. 840 Suppose 87*u = 88*u - 9. What is the lowest common multiple of 6 and u? 18 Let m = -62739/22 - -2849. Calculate the common denominator of 79/8 and m. 88 Let z be (-1)/3*-2*6. Suppose z = 9*l - 5. What is the smallest common multiple of 12*(-1 - (-1 - 1)) and l? 12 Let w = -3803/6 + 627. Find the common denominator of w and (13 - 2)*4/(-30). 30 Let k = 413 - 363. Calculate the least common multiple of 45 and k. 450 Suppose 5*f - 74 = 2*i, 0 = -f - 5*i + 6 + 25. Calculate the least common multiple of f and 20. 80 Suppose -a - 3*c + 23 = 0, a - 3*c - 2*c + 17 = 0. Calculate the lowest common multiple of a and 120. 120 Let s = 50 - 45. Suppose -24 = -3*r - r. Calculate the smallest common multiple of r and s. 30 Let u be 3 + (8/(-4) - (1 + 0)). Suppose u = 4*b - 8*b + 36. What is the smallest common multiple of 5 and b? 45 Suppose 1920 + 853 = 3*z + 5*u, -3*z - u = -2789. Calculate the common denominator of ((-206)/(-14))/(36/(-42)) and (-4)/2 - z/(-42). 6 What is the smallest common multiple of -3 + 116/6 + (-7)/21 and 506? 4048 Let v be (296/3)/8 - (-2)/(-6). What is the common denominator of (1 + (-738)/v)*2/6 and -131/30? 30 Let l = 64664/615735 + -6/4561. Calculate the common denominator of -31/60 and l. 540 Let v = -13331 - -6989. Let z = -69706/11 - v. What is the common denominator of z and 30/11? 11 Let s be (((-10)/30)/(2/6))/(-1). Calculate the least common multiple of 6 and 108/(-27)*((-2)/(-4) - s). 6 Let w be -1 + (810805/157932 - 4). Let v = w - -1/3852. Find the common denominator of v and -145/18. 738 Let u(p) = 3*p. Let m be u(4). Suppose -2*q - m = -f, 2*f + 2*q - 9 = 9. Calculate the smallest common multiple of f and 9. 90 Let s
{ "pile_set_name": "DM Mathematics" }
-1*(-7)/((-182)/(-4))? 2/13 Evaluate 84/(-294)*7/5. -2/5 (-77)/22*1/7 -1/2 ((-7)/(42/4))/(10/75) -5 What is the value of ((-32)/(-20))/(4/15)? 6 What is the value of (2/8*-9)/((-6)/(-4))? -3/2 Calculate (4/8)/((-120)/80). -1/3 Calculate (5/(240/(-27)))/(15/(-20)). 3/4 440/(-385)*1*2/8 -2/7 Evaluate (12/9)/(28/(-7)). -1/3 (-37)/592*4/2 -1/8 Evaluate (186/496)/(18/8). 1/6 What is ((-1)/(-27))/(-15*9/(-1620))? 4/9 What is the value of (-18)/(-27)*(-6)/(-4)? 1 What is 12/(-3)*-2*(-45)/72? -5 What is the value of 10*(-40)/(-30)*9/12? 10 Calculate ((-1)/(-4))/(14*6/96). 2/7 What is ((-500)/350)/(1/7)? -10 What is the value of 2*(-2)/36*3? -1/3 (-8)/12*(-12)/10 4/5 Evaluate 6/20*-5*6/3. -3 Calculate ((-12)/10)/(-6*(-3)/60). -4 What is the value of (9/(-28))/((300/70)/5)? -3/8 What is ((-50)/(-400))/(1/12)? 3/2 Evaluate ((-60)/72)/(195/(-12)). 2/39 21/(-9)*(-6)/(-21) -2/3 1/(-1)*(88/(-11))/48 1/6 Calculate (5/(30/4))/((-27)/(-162)). 4 (-2)/(-1)*1/1*-1 -2 What is ((-5)/12)/(11/(198/45))? -1/6 Calculate (56/(-21))/(3/(27/(-6))). 4 Evaluate -1*7/(21/(-3)). 1 Calculate (-1*3)/(-1*(-5)/5). -3 What is (-1)/(-12)*2/(3/(-3))? -1/6 (6/18)/(3/(-81)*3) -3 Evaluate -3*(28/4)/7. -3 Evaluate 290/116*(-7)/5. -7/2 Evaluate (-6)/((-48)/8)*(-12)/(-4). 3 What is (-15)/9*(-7)/140*2? 1/6 What is (10/(-6))/((-8)/(-24))? -5 What is (1/4)/(6/(-12))? -1/2 (-50)/(-160)*8*-2 -5 8/(96/(-18))*4/42 -1/7 What is the value of 1/(-1)*(-195)/(-65)? -3 What is the value of (-4)/((-3)/3)*12/16? 3 (6/20)/(13/(-26)) -3/5 Calculate 14/(-7)*-3*5/6. 5 Calculate (-784)/(-1470)*6/4*-1. -4/5 Evaluate (-9)/18*1*8/1. -4 What is the value of (39/546)/((-1)/2)? -1/7 Evaluate 3/(-2)*14/63*3. -1 Evaluate ((-1)/(-4)*0)/((-16)/8). 0 Evaluate 55/(-22)*(-3)/(-60). -1/8 What is ((-4)/10)/((-64)/(-1280))? -8 ((-9)/(-54))/(((-1)/(-2))/(-1)) -1/3 What is (170/1530)/(5/(-6))? -2/15 Calculate ((-28)/(-35))/((-4)/(-10)). 2 ((-19)/(38/4))/(36/2) -1/9 What is the value of (192/(-120))/(-3*6/(-45))? -4 (-1)/4*4/5 -1/5 Evaluate 6*5/405*6/(-1). -4/9 Evaluate -12*1/(-18)*-6. -4 Evaluate (6/(36/3))/((-1)/6). -3 What is (280/(-21))/(-8)*3*1? 5 What is the value of (336/(-392))/(2/7)? -3 Evaluate (1*2/(-6))/((-15)/(-45)). -1 ((-64)/64)/(-2*2/(-20)) -5 What is the value of -4*6/8*1? -3 Calculate (-3*2/(-18))/((-11)/198). -6 Calculate ((-9)/(9/2))/(6*1). -1/3 Evaluate (28/35)/((-3)/15). -4 Evaluate ((-88)/132)/(3/(-1)). 2/9 ((-2)/(-3))/(-6*(-1)/(-27)) -3 What is 352/(-44)*(-2)/8? 2 What is the value of 16/(-60)*-3*5/(-2)? -2 Calculate ((-4)/(-6))/((-4)/180*-6). 5 What is (-11)/(-10)*(540/165)/12? 3/10 Evaluate 1*3*(676/(-117))/(-26). 2/3 9*12/63*42/12 6 Calculate (-2)/4*1*1*8. -4 Calculate 2/28*4*(-4)/(-4). 2/7 Evaluate (3/(-2))/(120/(-16))*15. 3 What is the value of (-80)/(-64)*(-1)/((-10)/4)? 1/2 Calculate ((-2)/(-12))/(14/(-42)). -1/2 Evaluate (-5)/(((-3)/3)/(2/10)). 1 Calculate (-19)/(190/20)*10/4. -5 Evaluate -1*9/12*8/(-30). 1/5 What is (2/(-25))/((341/55)/31)? -2/5 Calculate (10/2)/(12/12). 5 What is 5/(-45)*54/12? -1/2 What is 2*(-3)/(-2)*(-7)/21? -1 Calculate (6/(-6))/((-2)/2). 1 What is the value of 6*-2*-4*6/(-96)? -3 Calculate 0/(-2)*(-3)/(105/(-7)). 0 -3*(-40)/75*2/8 2/5 What is the value of (-1)/3*30/(-50)? 1/5 What is -1*-3*5/35? 3/7 Evaluate (3/18*2)/(2/6). 1 What is (((-36)/(-75))/3)/(1218/435)? 2/35 What is (65/26)/((-20)/(-48))? 6 What is (-3)/2*12/135? -2/15 What is ((-20)/(-12))/(190/(-798))? -7 What is (4/(-30))/((-348)/(-290))? -1/9 ((-56)/(-6))/7*3/1 4 What is (6/39)/((-1)/1)? -2/13 Calculate ((-6)/15)/((-9)/15). 2/3 Calculate (-3)/3*3*1/3. -1 Calculate ((-15)/3*4/4)/(-1). 5 What is 1/1*0/(-17)? 0 ((-13)/(-52))/((-2)/3) -3/8 What is the value of (7/(-63))/((-7)/63)? 1 What is the value of (-36)/36*(-10)/(-5)? -2 What is ((-10)/10)/((-3)/(-15))? -5 What is 18/(-12)*(-10)/(-15)*-3? 3 What is the value of ((-12)/14)/(207/966)? -4 Evaluate 23/((-483)/(-14))*3*1. 2 What is 300/(-120)*(-1)/(-10)? -1/4 Calculate ((-28)/637)/(5*8/140). -2/13 (1/2)/(4/(2*-4)) -1 Calculate ((-248)/(-186))/((-3)/9). -4 ((-4)/(-12)*8)/12 2/9 (1/1)/(3/81*9) 3 What is 27/(-54)*6/(-4)? 3/4 What is the value of ((-9)/(12/(-4)))/(-3)? -1 Evaluate (-4)/18*15*6/4. -5 What is the value of (13/(-117))/(3*(-1)/(-9))? -1/3 Evaluate (-10)/(-6)*6/2. 5 ((-21)/14)/(2/4) -3 Calculate -7*12/(-126)*-3. -2 What is the value of (-343)/(-49)*(-8)/(-7)? 8 117/26*1/((-6)/4) -3 Evaluate (-22)/4*656/(-1804). 2 Evaluate (18/(-21))/((-10)/(-35)). -3 (-14)/(-21)*(-6)/(-10)*-1 -2/5 What is the value of 8/(-20)*((-4)/(-12))/1? -2/15 What is the value of ((-24)/(-32))/(10/8)? 3/5 72/(-90)*(-10)/(-12) -2/3 (-1)/((12/(-10))/(-6)) -5 What is the value of (20/(-39))/10*1*3? -2/13 What is the value of (87/203)/(2/4*2)? 3/7 What is ((-3)/((-90)/4))/(3/(-5))? -2/9 What is -2*-2*(27/(-20))/9? -3/5 Evaluate 2*((-15)/3)/(-15). 2/3 What is 6/(-14)*4/3? -4/7 What is the value of ((-9)/(-54)*-4)/(17/3)? -2/17 Calculate (12/24)/(4/(-6)). -3/4 Calculate (-56)/16*(-4)/14. 1 Evaluate ((-1)/12)/(54/144)*-18. 4 Calculate (-54)/36*(-5)/((-765)/(-12)). 2/17 What is (240/360)/((-2)/(-15))? 5 What is 9/9*2/5? 2/5 (26/13)/(7/((-2)/2)) -2/7 What is the value of ((-2)/5*(-100)/20)/1? 2 Evaluate (24/40)/(27/6). 2/15 What is the value of (30/3)/(45/27)? 6 What is (-5)/24*(-12)/30*-2? -1/6 What is the value of ((-4)/(-40)*6)/(2/10)? 3 Evaluate (-56)/630*-2*6/(-8). -2/15 (-60)/108*(-12)/30 2/9 8/(64/36)*6/27 1 Evaluate 9/6*(-14)/189. -1/9 12/10*10/18*3 2 Evaluate (3/2)/(315/30). 1/7 What is ((-3)/((-27)/(-36)))/1? -4 (37/37)/((-10)/(-6)) 3/5 ((-5)/15)/((-3)/18) 2 Calculate ((-5)/20)/((-6)/(-18)). -3/4 Evaluate (8/(-10))/(((-30)/(-25))/(-6)). 4 -5*2/(-12)*(-9)/30 -1/4 Calculate ((-3)/2)/(-3)*198/165. 3/5 What is the value of ((-16)/40)/((-3)/((-30)/(-2)))? 2 What is the value of (-108)/81*(-6)/6? 4/3 Calculate (9/10)/(4/30*9). 3/4 Calculate 40/5*(-30)/160*-2. 3 (-1)/(7/(-7))*1/3 1/3 (321/856)/((-18)/(-8)) 1/6 Evaluate (-2)/(-9)*3*18/3. 4 What is the value of (12/8)/((-3)/2)? -1 Evaluate (-44)/(-11)*12/8. 6 Calculate ((-18)/8)/((-11)/((-440)/(-30))). 3 Evaluate 6*2/4*4/(-42). -2/7 What is (4/(168/(-9)))/(6/(-8))? 2/7 (3/(-6))/(2/4) -1 What is (1*6/(-2))/((-47)/(-47))? -3 Calculate 2*2/(-4)*-4. 4 ((-2484)/24)/23*2 -9 Calculate ((-1)/(-2))/(((-735)/(-28))/(-15)). -2/7 What is ((3690/(-72))/(-41))/((-10)/4)? -1/2 Evaluate ((30/27)/(-2))/(10/(-12)). 2/3 Evaluate (-7)/1*(-390)/2275. 6/5 Calculate (-9)/4*-3*(-40)/(-630). 3/7 (-13)/39*(0/1)/2 0 3/((-27)/6*(-2)/(-12)) -4 What is the value of ((-1)/5)/((-16)/(-20))? -1/4 What is the value of ((-30)/10)/(1/1)? -3 21/14*(-1)/(-3) 1/2 Calculate 2/(-8)*(-64)/80. 1/5 Evaluate 1/((16/(-40)*1)/(-2)). 5 Evaluate ((-16)/64)/(9/36). -1 What is (-5)/(-2)*8/170? 2/17 20/8*5/(-50) -1/4 What is 2/(-8)*35/7? -5/4 Calculate 203/116*(-12)/(-3). 7 Calculate 7/7*(-4)/(-1). 4 What is 2/(-4)*(-40)/5*1? 4 ((-10)/15)/((-40)/(-75))*2 -5/2 Calculate ((-354)/(-4130))/((-9)/(-10)). 2/21 What is ((-4)/12)/(168/(-72))? 1/7 What is 8*14/64*4/5? 7/5 Evaluate (6/(-8))/(-22*3/16). 2/11 Evaluate 3/2*8/4. 3 What is the value of (12/(8/4))/((-3)/2)? -4 Evaluate 476/136*6/28*8. 6 18/12*(-6)/(-9)*2 2 What is -1*(-1)/3*-2*3? -2 Evaluate 5/(-30)*2/(-3). 1/9 What is the value of 36/2*((-3)/9)/(-1)? 6 Calculate 6/27*(-9)/(-2). 1 What is ((-4)/(-27))/(4/6)? 2/9 Evaluate 14/((-840)/12)*3. -3/5 What is 14/3*18*18/(-216)? -7 9/15*17/((-408)/80) -2 What is the value of 4/2*(-8)/(-32)*-4? -2 What is the value of (-16)/20*1*(-5)/(-2)? -2 What is the value of (10/(-75))/((-5)/(-15))? -2/5 Calculate (((-15)/5)/1)/(27/(-6)). 2/3 Calculate 1*(-7)/(-70)*5. 1/2 Calculate (12/(-15))/(-2)*(-100)/(-10). 4 Evaluate ((-7)/(-35))/(((-7)/7)/(-6)). 6/5 What is the value of (-2)/17*(-3)/(-18)*-6? 2/17 Calculate 0/(-3)*1*(-4)/16. 0 What is (1/((-5)/15))/((-66)/(-4))? -2/11 What is the value of 3*2/45*-10? -4/3 What is 1/((-4)/((-28)/(-7)))? -1 What is 13/(-13)*4/(8/3)? -3/2 (3/6)/((-1)/(-6)) 3 What is ((-3)/(9/(-2)))/(58/(-174))? -2 Evaluate 2/(-76)*60/(-15). 2/19 (6*2/36)/(2/(-3)) -1/2 What is the value of 0*-8*2/(-128)? 0 What is the value of (((-6)/9)/(-2))/((-20)/30)? -1/2 (-3*(-3)/45)/(-1) -1/5 What is the value of 5*7/(77/(-11))? -5 ((-27)/162)/(2/4) -1/3 Evaluate -9*14/21*2/(-138). 2/23 Calculate (
{ "pile_set_name": "DM Mathematics" }
-3411.1 - -3411. Which is the nearest to t? (a) 0.962 (b) -3/7 (c) 1/2 b Let r = 13 - 67/5. Let f = 1812 - 1815. What is the nearest to 1 in f, -16, r, 3? r Let w = 514 + -513. Which is the nearest to -1? (a) 0.707 (b) w (c) -5 a Let q = 0.415 - -0.01. Let v = -0.025 + q. Let m(g) = -g**3 - 6*g**2 - 4*g + 2. Let c be m(-5). What is the closest to c in 1/6, 2/9, v? 1/6 Let m = -1124.7 - -1125. Let z = 7.6 + -7. Let a = 0.7 - z. What is the closest to -5 in m, -2/5, a? -2/5 Let o = 0.074 - 112.574. Let q = o - -113. What is the closest to -2 in -1, q, 5/8? -1 Let z = -0.281 + -3.719. Let h be 46/110 - 18/30. What is the nearest to z in h, 5, 4? h Let g = 73 + -44. Let n = g + -6. Let y = -23.1 + n. What is the nearest to y in 0.1, -3, -4? 0.1 Let b = 5 - 7. Let m be 4 + b/(8/20). Let d = 21 + -20.8. What is the nearest to -0.3 in d, -0.2, m? -0.2 Let x be (-5)/(10/(-8)) + (-13 - -9). Suppose x = 4*g + 9 - 17. Which is the nearest to 1? (a) -1/8 (b) 1 (c) g b Let u = 295.1 + -256. Let j = u - 41.1. Which is the nearest to j? (a) -7 (b) 4 (c) -1/3 (d) -1/4 c Suppose 0 = -5*r - 11*r. Which is the closest to r? (a) -49 (b) 0.3 (c) -0.2 (d) -3 c Suppose 3*d + 14 = o - 0*o, 2*d + 11 = -o. Let s = 33.472 + -33.172. What is the closest to o in 0.6, s, 1.6? s Let v = -86 + 86.1. Let o = 19 - 65. Let c = -44 - o. What is the nearest to -1/3 in v, 2/25, c? 2/25 Let i = -0.8 + -0.2. Let a = -1666 + 1665.9. What is the nearest to i in 0, 15, a? a Let u = -1014 - -1011. Let o = 8 - 3. What is the closest to -13 in -4, o, u? -4 Let z = -125 + -124. Let a = 244 + z. Let o = -1.03 - 0.27. What is the closest to 0.1 in 1/3, o, a? 1/3 Let g(v) = -2*v**3 - 33*v**2 - 14*v - 20. Let j be g(-16). Let k = -261/5 - j. Let p = -2 + -3. Which is the nearest to k? (a) -0.1 (b) p (c) 0.2 a Suppose -10*o + 109 = -71. Let k = 2.64 + 0.36. What is the nearest to 1/5 in o, 0.3, -5, k? 0.3 Let i = -0.9269 + -4.9621. Let k = -0.111 + i. Let p be (-2)/(-12 - 1/(-1)). What is the closest to -1 in 2, p, k? p Suppose 3 = q + 2*q, 0 = -i + 2*q - 8. Let a be 6 - 287/(-49)*-1. What is the closest to 0 in -2/7, i, -1/5, a? a Let r = -0.54 + -44.96. Let n = 51.5 + r. Which is the closest to 2? (a) 0.1 (b) n (c) -0.9 a Let s = 40.903 - -0.097. Let j = 0.01324 - 41.01324. Let i = s + j. Which is the nearest to i? (a) -1/5 (b) -4 (c) -3 a Let m = -0.3359 + 0.3959. What is the closest to m in 2, -0.02, -3, 0.4? -0.02 Let h = -11958/13 - -920. Let r(u) = -2*u**3 - 2*u**2 + 2*u - 5. Let n be r(-2). What is the nearest to n in 0.1, -3/4, h, -10? -3/4 Suppose -3*c + 5*n - 3 = -23, -1 = n. Let d = 0.43 + -0.03. Let r = -806 + 805.9. What is the closest to r in d, -4, c? d Let j = -1614 - -1588.91. Let p = j - -25. Let q = 9 - 5. Which is the nearest to p? (a) q (b) 0.5 (c) -2 b Let w = 4 - 4.4. Let u be (-50)/(-15)*(-6)/(-16). Suppose 2*f + 11 = -3*n, -49*f + 50*f = -n - 4. Which is the nearest to u? (a) 2/13 (b) f (c) w a Let i = -5.9 - -6. Let r = -0.35 - -0.05. Let b = 45 + -57. What is the closest to 0.2 in b, r, i? i Let q = 7.279 - 4.279. What is the closest to -2 in q, -0.19, -0.2? -0.2 Let o = 18542 - 18543. Which is the closest to o? (a) -2/13 (b) 4 (c) -1/3 (d) -0.3 c Let c(m) = m**2 + 7*m + 27. Let s be c(-4). Let z be 12/(-9) + -6 + s/2. What is the nearest to -0.1 in 4, z, -2/11? -2/11 Let d = -0.7 - -4.7. Let j = -1017 - -1016.89. Which is the closest to j? (a) 2 (b) d (c) -4 a Let b = -0.03 + -2.97. Let a = -6908.8 - -6909. Let y(o) = -o**2 + 3*o - 2. Let z be y(1). What is the closest to 0 in z, b, a? z Suppose 4*m - 10 = -i, -4*i - 3*m + 4 = -10. Which is the nearest to 0? (a) -74/3 (b) -1 (c) i b Let n = 93 + -178. Let m = 84.7 + n. Which is the nearest to 0? (a) 2 (b) 1/3 (c) -2/7 (d) m c Suppose 4*h = 554 + 86. Let g be 1*(h/28 - 6). What is the nearest to g in 0.4, -0.07, -5? -0.07 Let m = 708 - 716. Which is the nearest to 5/4? (a) 4 (b) -4 (c) -0.3 (d) m c Let o = 3031 + -9098/3. Which is the nearest to -0.1? (a) o (b) -1/487 (c) 2 (d) 4 b Let k be ((-15)/90*-3)/((-26)/(-60)). What is the closest to 0.1 in -0.06, -0.5, k? -0.06 Let i(y) = 2*y + 1. Let x be i(4). Let h be x/15 + (-248)/480. Let a = 1.6 - 0.9. What is the nearest to a in -2/3, h, 5? h Let u = -1.6 - -3.28. Let s = 2.68 - u. What is the closest to 1/4 in 16, s, -2? s Let n = -5.1 - -5. Let b = 1.2084 - 1.0084. What is the closest to b in -3, 1/11, n? 1/11 Let n = -5.131 + 5.031. What is the closest to n in -3, -177, 3, -4/5? -4/5 Let v = -2367/2 - -1184. Which is the closest to v? (a) -2 (b) 17/5 (c) -2/13 c Let j = -0.1719 - -0.4719. Which is the nearest to 21? (a) -3 (b) j (c) 4 c Let q be -3 + -14*(6 + (-130)/20). Let d = -6.9 - -7. What is the closest to d in -1, -10, q? -1 Let g = 33 - 37. Let c = -0.9 - 0.1. Let x = 23493 + -23488. What is the closest to g in -3/2, c, x? -3/2 Let q be 4/10 - (-1)/(-15). Let r be -11 + (53760/147)/32. Which is the nearest to -3/5? (a) r (b) 6/11 (c) q c Let g be (-16)/12 + (-5 - -7). Let q(f) = -f**3 + 7*f**2 - 4*f + 24. Let x be q(7). What is the closest to 3 in -5, x, g? g Let f = 886 - 899. Let d = -326 + 4236/13. What is the nearest to 2 in f, -0.3, d? d Let d = 496 - 4450/9. Let x = -11/9 + d. What is the nearest to 0.2 in 0.2, x, 0? 0.2 Let m = 132.9 + -179.1. Let t = -46.1 - m. Suppose -k + 5*n = k + 1, 5*k - 12 = -2*n. Which is the nearest to -2/9? (a) 4/9 (b) t (c) k b Let n = 726.4 + -727.4. Which is the closest to -0.2? (a) 2/9 (b) 2/7 (c) 8.8 (d) n a Let z be (12 - 155/15)*6/(-26). Which is the nearest to 1? (a) -0.1 (b) z (c) -5/6 (d) 3/7 d Let s be 88/96 - 14/21. Let m = -0.6 - -0.3. What is the nearest to 2/5 in 16, m, s? s Let f be ((54/8)/3)/((-495)/66). What is the nearest to 2 in f, 0.5, 3, 0? 3 Let m = -68.2 + 67.2. Let q be 4/20 - 7/10. What is the nearest to m in -5/4, q, -1? -1 Let o = -81 - -7453/92. Let m = o - 49/276. Let p(q) = q**2 - 3*q - 4. Let u be p(4). Which is the closest to -1/2? (a) -3/2 (b) u (c) m c Let g = 0.18505 - -0.01495. Let u = 5 + -4.6. Let z(n) = -n**3 + 2*n**2 + 3*n - 1. Let d be z(3). What is the closest to d in 1, u, g? g Let y be 2/10*20/(-8). Let l be 1/(2*(-2)/(-120)). Let w be 4/30 + 11/l. What is the nearest to y in -5, 0.2, w? 0.2 Let s = 7534 - 7532. What is the closest to 0 in 2106, -1, s? -1 Let p = -17836 - -17836.05. Which is the nearest to 0.1? (a) p (b) 9 (c) -0.5 (d) -2/13 a Let k = 1.71 - -0.09. Let y = -0.4 - k. Let s = y - -1.2. Which is the nearest to -0.1? (a) -0.4 (b) 2/13 (c) s b Let v = -248 - -391. Let u = 137 - v. What is the nearest to -1/3 in -3, -4, u? -3 Let f = 13111.17 - 12960. Let l = 151 - f. What is the nearest to -0.1 in -3, 0.3, l? l Let z be 2*-3*1/(-27). Let k = 1.56 + -6.56. Which is the nearest to k? (a) 1/3 (b) z (c) 0.1 c Let c(o) = 5*o**2 + 24*o. Let i be c(-5). Let s(u) = -11*u + 57. Let f be s(i). What is the closest to -0.2 in f, 0, -4/5? 0 Let v = -5163/4 + 1291. Let u = 15 + -15. Which is the nearest to u? (a) v (b) 2/5 (c) -1 a Let y = -399 - -409. Let s(c) = 6*c**3 + 2*c**2 - 2. Let v be s(1). Let a(f) = 3*f - 19. Let h be a(v). What is the closest to h in -5, y, -4? -4 Let h = 958.2 - 958. Let n = 0.3 + -5.3. Which is the closest to -1? (a) -1 (b) h (c) n a Let b = -3 - -2.9. Let o = -10400 + 10398. What is the closest to b in o, -34, 4? o Let p = -17/14 + 12/7. Let k = 654.03 + -654. What is the closest to p in -3, -5, k? k Let h = 7295 + -7293. Let u = 214/585 + 4/117. Which is the nearest to h? (a) 1 (b) u (c) -4/5 a Let j be (1/(-3))/(-5 + 216116/43224). Let d = j - 25605/7. Let v = -56 - d. Which is the nearest to -2? (a) 4 (b) v (c) -1 c Let f = -0.3 + 0.8. Let c = -5.3065 - -1.3065. What is the nearest to -1/2 in f, c, -67? f Let t = 92.3 + -97. Let h = t - -5. Let u = -353/65 - -81/13. Which is the closest to h? (a) -2/17 (b) 1/2 (c) u b Let j = 463 - 464. Let r be (j/3)/(117/(-18) - -8). What is the nearest to 0.3 in r, 5, -3/5? r Suppose -4*h - w = -2*w - 35, -w - 5 = -h. Suppose -4*i = -2 - h. Let x = 129.6 - 130.6. Which is the nearest to i? (a) 0.7 (b) x (c) 0.1 a Suppose -28*q + 90 = -25*q + 3*p, p = -8*q + 191. Which is the nearest to 3? (a) 5 (b) -
{ "pile_set_name": "DM Mathematics" }
en that -p**3/6 + 1730*p**2/3 + 129427*p/6 - 66443/3 = 0. -38, 1, 3497 Find k, given that -15*k**5/7 - 1142*k**4/7 - 25132*k**3/7 - 76866*k**2/7 + 1757867*k/7 - 1654712/7 = 0. -184/5, -23, 1, 17/3 Factor 3*g**2 + 10212*g + 3279465. 3*(g + 359)*(g + 3045) Suppose 3*p**5 + 33*p**4 - 1377*p**3 + 9543*p**2 - 14250*p - 25200 = 0. Calculate p. -30, -1, 5, 7, 8 Find x such that 2*x**4/19 + 200806*x**3/19 + 5040682392*x**2/19 + 15119436800*x/19 - 20160320000/19 = 0. -50200, -4, 1 Suppose 5*s**3 + 38415*s**2 + 1338730*s + 2523840 = 0. Calculate s. -7648, -33, -2 Find k, given that 4*k**3/5 + 3128*k**2/5 + 52308*k/5 + 44064 = 0. -765, -9, -8 Determine n, given that 2*n**4/9 - 21616*n**3/9 - 281404*n**2/9 + 209216*n/3 - 36070 = 0. -15, 1, 10821 Find s, given that 76*s**2/3 - 73730*s/9 + 27778/9 = 0. 43/114, 323 Factor -2*s**3/3 + 3730*s**2 + 1236702*s + 99657702. -2*(s - 5913)*(s + 159)**2/3 Factor -u**2 - 691617*u - 11757200. -(u + 17)*(u + 691600) Factor 5*d**2 + 2445*d - 3386210. 5*(d - 614)*(d + 1103) Determine u, given that -2*u**2 + 1318*u + 310224 = 0. -184, 843 Factor 3*r**2 + 36804732*r + 112882358132652. 3*(r + 6134122)**2 Suppose l**5/8 + 237*l**4/2 + 22029*l**3/8 - 69985*l**2/4 - 477318*l + 1000692 = 0. What is l? -924, -19, 2, 12 Factor -3*c**2/5 - 234*c + 397632/5. -3*(c - 218)*(c + 608)/5 Solve -11*d**4/2 - 35*d**3/4 + 33*d**2/2 + 149*d/4 + 35/2 = 0 for d. -35/22, -1, 2 Suppose -4*l**2 - 208744*l - 1043620 = 0. Calculate l. -52181, -5 Suppose 7*f**5 - 9889*f**4/4 - 8971*f**3/4 + 73447*f**2 - 28383*f - 40356 = 0. Calculate f. -6, -4/7, 1, 19/4, 354 Factor 2*s**3 + 2342*s**2 + 668652*s - 1346688. 2*(s - 2)*(s + 501)*(s + 672) Suppose 5*x**3 + 223145*x**2 - 302950000*x + 101311287360 = 0. What is x? -45957, 664 Determine p, given that p**3 - 414704*p**2 + 42995266605*p - 85988874402 = 0. 2, 207351 Factor -3*o**2 + 116727666*o - 1135445667483963. -3*(o - 19454611)**2 Let -2*t**4 + 109056*t**3 - 1455134192*t**2 - 859284940800*t - 124166736980000 = 0. What is t? -286, 27550 Determine b, given that 2*b**5/13 - 21040*b**4/13 + 168230*b**3/13 - 399480*b**2/13 + 252288*b/13 = 0. 0, 1, 3, 4, 10512 Determine z so that 6*z**5/5 + 3148*z**4/5 - 1639486*z**3/5 + 27866052*z**2 + 3375078616*z/5 + 2187641456/5 = 0. -869, -19, -2/3, 182 Let -9*j**4/5 - 131325*j**3 - 99162219*j**2/5 + 66618861*j/5 + 33199992/5 = 0. What is j? -72807, -152, -1/3, 1 Determine b, given that 2*b**4/13 - 316*b**3/13 - 13064*b**2/13 + 87868*b/13 - 5730 = 0. -39, 1, 5, 191 Factor -626*x**3 + 138356*x**2 - 2210*x. -2*x*(x - 221)*(313*x - 5) Suppose -y**2 + 21251*y + 123750822 = 0. What is y? -4758, 26009 Determine v, given that -3*v**5 + 762408*v**4 - 762405*v**3 = 0. 0, 1, 254135 Determine h so that -h**2/7 + 2998*h/7 - 1711177/7 = 0. 767, 2231 Solve -3*m**3/7 + 2178*m**2/7 - 353187*m/7 - 15677388/7 = 0 for m. -36, 381 Solve -235*a**5 + 10341*a**4/4 + 37589*a**3/4 + 6570*a**2 - 7*a = 0 for a. -2, -1, 0, 1/940, 14 Find k, given that -3*k**5 + 2959913*k**4/3 + 14141950*k**3/3 + 20390788*k**2/3 + 6577688*k/3 - 877024 = 0. -2, -1, 2/9, 328884 Find c such that -25*c**5 - 90830*c**4 - 1195920*c**3 - 4779520*c**2 - 4052480*c + 6950400 = 0. -3620, -6, -4, 4/5 Suppose 75*o**4 + 71091135*o**3/4 + 7997697*o**2 - 38389221*o/4 - 9597285/2 = 0. Calculate o. -236970, -3/5, 3/4 Factor 3*o**2 + 22463409*o + 22463406. 3*(o + 1)*(o + 7487802) Factor 504008*a**4 + 457633240*a**3 - 5469774*a**2 + 16344*a. 2*a*(a + 908)*(502*a - 3)**2 Factor 5*b**3/2 - 4897*b**2/2 - 48971*b + 19980. (b - 999)*(b + 20)*(5*b - 2)/2 Suppose -35*n**2 - 902970*n - 1031920 = 0. Calculate n. -25798, -8/7 Let 93*k**2/4 - 57831*k/4 + 24219/2 = 0. What is k? 26/31, 621 Solve -4*h**2/3 - 139280*h/3 - 12940612 = 0. -34539, -281 Determine w, given that -w**5/5 - 315*w**4 - 64462*w**3/5 - 23268*w**2 + 257864*w/5 + 98112 = 0. -1533, -40, -2, 2 Find u, given that -u**3/2 - 952*u**2 - 716561*u/2 + 359233 = 0. -1387, -518, 1 Find z such that 3*z**2 + 613565902*z + 204521967 = 0. -204521967, -1/3 What is z in z**5 - 331*z**4 + 13665*z**3 + 294715*z**2 + 689414*z - 997464 = 0? -13, -4, 1, 69, 278 Suppose -55*y**5 - 644205*y**4 - 1171025*y**3 + 878425*y**2 + 1171080*y - 234220 = 0. Calculate y. -11711, -2, -1, 2/11, 1 Let -2*o**5 - 10226*o**4 - 13891600*o**3 - 2060301856*o**2 + 6362018304*o + 8408438784 = 0. Calculate o. -2472, -172, -1, 4 What is h in 82*h**3/5 - 5816*h**2/5 + 77272*h/5 + 178464/5 = 0? -2, 858/41, 52 Suppose 2*l**3 + 720*l**2 - 2538*l - 130680 = 0. What is l? -363, -12, 15 Solve -28*n**3/3 + 8572*n**2/3 + 124160*n/3 = 0. -97/7, 0, 320 Suppose -3*a**3/2 - 200700165*a**2/2 = 0. What is a? -66900055, 0 Let 9705119114*l**5 + 1290815237150*l**4 - 9506442157684*l**3 - 33701684168*l**2 - 39817232*l - 15680 = 0. Calculate l. -140, -2/1693, 7 Factor 30*w**2 + 84785*w - 339620. 5*(w - 4)*(6*w + 16981) Solve -327*r**2/5 + 166089*r/5 + 13716/5 = 0. -9/109, 508 Factor 32*a**2 - 55234524*a - 62138880. 4*(a - 1726080)*(8*a + 9) What is a in 2*a**2 - 112*a - 387394 = 0? -413, 469 Factor -2*h**3 - 15107238*h**2 - 28528512015888*h + 256757831830728. -2*(h - 9)*(h + 3776814)**2 Determine h, given that -h**5 + 7331*h**4 - 10767550*h**3 - 9784828422*h**2 - 1765251116865*h + 5384106936675 = 0. -335, 3, 3999 Let -77618*i**2/11 + 298652*i/11 - 287282/11 = 0. What is i? 379/197 Suppose 1300*f**2/3 + 1216799*f/6 - 78 = 0. Calculate f. -468, 1/2600 Determine u so that -2*u**4 - 253400*u**3 - 8037582248*u**2 - 705253149504*u + 2949630132096 = 0. -63306, -92, 4 What is d in 4*d**2 - 18136*d + 15734740 = 0? 1169, 3365 Factor 2*q**3 - 457316*q**2 - 2*q + 457316. 2*(q - 228658)*(q - 1)*(q + 1) Determine b, given that -b**3 - 3875897*b**2 + 15503601*b - 11627703 = 0. -3875901, 1, 3 Find b such that 8*b**5 - 14404*b**4 - 50932*b**3 + 757464*b**2 + 389664*b = 0. -9, -1/2, 0, 6, 1804 Suppose 4*i**5 + 15066*i**4 + 232768*i**3 + 772794*i**2 + 330088*i = 0. Calculate i. -3751, -11, -4, -1/2, 0 Factor 5*s**3 + 24000920*s**2 + 48001825*s + 24000910. 5*(s + 1)**2*(s + 4800182) Determine v, given that 2*v**4/5 + 5634*v**3/5 + 5186376*v**2/5 + 1544763744*v/5 - 4681120896/5 = 0. -1068, -684, 3 Factor -p**4/4 + 1477607*p**3/2 - 727774395084*p**2 + 477940604458069017*p/2 - 955878297821512911/4. -(p - 985071)**3*(p - 1)/4 Suppose 132*c**5 + 311133*c**4 - 602625*c**3 - 2547780*c**2 - 141492*c + 113232 = 0. Calculate c. -2359, -2, -1/4, 2/11, 4 Suppose 5*h**2/4 - 35405*h/2 + 109509825/4 = 0. Calculate h. 1767, 12395 Factor 180*y**3 + 207389460*y**2 - 69129835*y + 5760820. 5*(y + 1152164)*(6*y - 1)**2 Solve 5*i**3 + 1193725*i**2 - 5968730*i + 4775000 = 0 for i. -238750, 1, 4 Factor -2*t**3/7 + 4534*t**2 + 119988826*t/7 + 102597635934/7. -2*(t - 19143)*(t + 1637)**2/7 Determine v so that -4*v**5 - 103300*v**4 - 887199984*v**3 - 2516450348736*v**2 + 151580177839872*v = 0. -8628, 0, 59 Find o such that -4*o**4 + 26008*o**3 + 2934508*o**2 + 11009168*o - 33964368 = 0. -107, -6, 2, 6613 Factor h**4/2 + 115049*h**3/2 + 1654677852*h**2 + 8271951210*h. h*(h + 5)*(h + 57522)**2/2 What is z in -4*z**3 - 296736*z**2 + 890236*z - 593496 = 0? -74187, 1, 2 Determine a, given that -93*a**3 - 2189586*a**2 - 2048235*a + 141258 = 0. -23543, -1, 2/31 Solve -5*d**5 + 27980*d**4 - 7987765*d**3 - 32707310*d**2 + 89266020*d - 48598920 = 0 for d. -6, 1, 306, 5294 Factor 3*h**3/2 + 2591409*h**2/2 + 10365564*h + 20731080. 3*(h + 4)**2*(h + 863795)/2 Solve 84*x**4 - 218896*x**3 + 197804*x**2 + 458464*x + 41680 = 0. -1, -2/21, 2, 2605 Solve 2*h**2/11 + 3479984*h/11 + 73078782/11 = 0 for h. -1739971, -21 Suppose -8*b**3 - 3194684*b**2 + 4792040*b - 1597348 = 0. Calculate b. -399337, 1/2, 1 Let z**5 - 2995*z**4 + 2142126*z**3 + 151772940*z**2 + 294953400*z = 0. Calculate z. -63, -2, 0, 1530 Let -3*j**4 + 1214343*j**3 + 34004043*j**2 - 35218383*j = 0. What is j? -29, 0, 1, 404809 Find v, given that v**3/4 - 1641*v**2/4 - 8281*v - 39864 = 0. -12, -8, 1661 Factor 4*b**3 - 7788180*b**2 - 31152784*b. 4*b*(b - 1947049)*(b + 4) Find t such that 671114976698*t**4/3 - 26844019604708*t**3/3 - 7726120568*t**2 - 6671024*t/3 - 640/3 = 0. -2/6949, 40 Factor -h**3/3 + 2774*h**2/3 - 30181*h + 82230. -(h - 2741)*(h - 30)*(h - 3)/3 Let -9*j**4/4 + 47535*j**3/4 + 218613*j**2 + 63627*j - 143100 = 0. Calculate j. -18, -
{ "pile_set_name": "DM Mathematics" }
hat is -182764 (base 9) in base 5? -12113440 -158a3b (base 12) to base 5 -43232243 -427028 (base 9) to base 7 -2106554 Convert -100110101010100 (base 2) to base 6. -231352 139483 (base 10) to base 4 202003123 Convert 11115122 (base 6) to base 14. 8aa4a Convert 11246c5 (base 13) to base 7. 62516254 -1044024 (base 6) to base 2 -1100110111110000 Convert -65d92 (base 14) to base 4. -330101230 Convert 95c76 (base 14) to base 11. 227a09 Convert -16d43 (base 14) to base 16. -e08f What is -5446932 (base 11) in base 13? -1ca0a46 Convert -1f7da (base 16) to base 15. -28341 Convert 20012021021222 (base 3) to base 6. 154322255 What is 1918821 (base 10) in base 13? 5224c8 What is -72ae0 (base 15) in base 12? -1564a9 What is -3184846 (base 12) in base 11? -5327a21 3042150 (base 7) to base 14 96597 What is -61592a (base 12) in base 9? -2772107 What is 10200653 (base 7) in base 14? 1846d3 -848060 (base 9) to base 6 -14451430 Convert -11032021 (base 4) to base 12. -10461 101546323 (base 7) to base 13 1314181 What is -512053 (base 6) in base 15? -c096 Convert -192a020 (base 13) to base 5. -4102410224 What is -3521524 (base 8) in base 5? -221144231 Convert 361235 (base 7) to base 2. 1111111100001110 Convert 190651 (base 13) to base 6. 21253554 What is -4983 (base 15) in base 12? -9080 Convert 97570 (base 14) to base 11. 230005 -3220010 (base 6) to base 13 -56c7c 10524655 (base 8) to base 11 1311807 Convert -46903a7 (base 11) to base 7. -126366250 Convert 1011101111111101 (base 2) to base 16. bbfd What is 1d915e (base 16) in base 7? 22320304 Convert -121111102221101 (base 3) to base 12. -2b29a47 What is -2803a6 (base 13) in base 4? -3231033011 Convert -1001202002211 (base 3) to base 16. -8a214 Convert -12320021144 (base 5) to base 4. -321032131100 Convert 1000111011100010011100101 (base 2) to base 8. 107342345 14049266 (base 10) to base 9 28382865 Convert -315022015 (base 6) to base 10. -5555099 Convert -31320013030 (base 4) to base 6. -205545124 What is 2044707 (base 11) in base 9? 6708047 What is -1435445 (base 7) in base 4? -233113220 -3770a7 (base 11) to base 9 -1106253 -329a61 (base 12) to base 6 -25131001 What is 3072104 (base 9) in base 8? 6206501 What is dd356 (base 14) in base 3? 1000012220101 What is 1a5201 (base 13) in base 6? 22153351 -1000012022100 (base 3) to base 13 -15986a What is -109e9 (base 15) in base 14? -153a5 977332 (base 10) to base 3 1211122122111 What is 32282c (base 13) in base 3? 2012210020122 What is 1c9a39 (base 16) in base 11? 1070371 -6422 (base 13) to base 2 -11011000111110 1223100302 (base 4) to base 6 13230002 Convert 182736 (base 15) to base 2. 100011110010100001111 -422a6 (base 11) to base 4 -33002100 74621 (base 9) to base 10 49348 3165513 (base 8) to base 4 3032231023 What is -175586 (base 12) in base 9? -674373 Convert 7c1868 (base 16) to base 5. 4040221322 What is 10553502 (base 7) in base 3? 1201210011220 -3062152 (base 7) to base 12 -159051 What is 136402 (base 11) in base 12? a3632 What is 322501 (base 9) in base 12? 93231 What is 1052ab6 (base 13) in base 11? 2899478 Convert 29212 (base 14) to base 4. 120320300 -c3467 (base 14) to base 8 -1626123 What is 146486 (base 10) in base 14? 3b554 Convert 11011011111101101010 (base 2) to base 7. 10441510 -1500041 (base 7) to base 2 -110001001111110001 What is 930050 (base 13) in base 5? 1334134020 What is 2222405 (base 6) in base 16? 1b5a5 What is 13c0b (base 16) in base 14? 216b1 What is 4216147 (base 8) in base 3? 2002222020201 What is 35b89b (base 14) in base 10? 1837441 Convert 323024420 (base 6) to base 2. 10101111001111011011100 What is -e5a5cb (base 16) in base 14? -1ddaa95 Convert 277231 (base 8) to base 9. 158317 What is -52010 (base 13) in base 4? -203330030 What is 65ddae (base 15) in base 8? 22415023 Convert -40112110 (base 5) to base 11. -1a68a5 Convert cad6e (base 15) to base 13. 19733c Convert 374271 (base 8) to base 2. 11111100010111001 Convert -3cd9c (base 15) to base 10. -195447 What is -211021202211 (base 3) in base 9? -737684 -476457 (base 12) to base 9 -2144484 Convert 21200304 (base 8) to base 3. 22111202021011 What is 84c894 (base 13) in base 8? 13676751 What is 1403241 (base 8) in base 7? 3233231 321886 (base 10) to base 8 1164536 What is 12054270 (base 9) in base 15? 7b2b4c -8170e0 (base 16) to base 14 -11ab6b6 What is 1250704 (base 9) in base 5? 133323130 Convert -1344330240 (base 5) to base 14. -6758c8 Convert -8a7529 (base 12) to base 2. -1000011011110000110001 121ca1 (base 13) to base 9 728576 What is 71304 (base 13) in base 4? 301132023 What is -2835616 (base 10) in base 15? -3b02b1 Convert 1020102000 (base 4) to base 5. 33433224 Convert 330232 (base 4) to base 16. f2e -e811 (base 15) to base 2 -1011111110101010 Convert 55250305 (base 6) to base 16. 194141 Convert -abbe (base 16) to base 9. -66271 -1111011001011010111 (base 2) to base 8 -1731327 Convert 2728a4 (base 11) to base 8. 1504455 Convert 12406144 (base 7) to base 9. 2108544 What is -15545144 (base 6) in base 2? -10001000010101011000 Convert 78012 (base 16) to base 14. cb1bc -1689699 (base 10) to base 2 -110011100100001100011 What is -13163020 (base 7) in base 10? -1208746 -294083 (base 12) to base 4 -2220301203 -343685 (base 9) to base 2 -110010010100111101 -24871467 (base 9) to base 7 -205535656 What is -14316065 (base 7) in base 9? -2475512 Convert 24010313 (base 5) to base 16. 35942 Convert -3ec54 (base 15) to base 13. -70b91 What is -300220222 (base 4) in base 12? -9734a -1110111110011100011100 (base 2) to base 5 -2001111123 -311013120 (base 5) to base 8 -4651744 Convert -1268668 (base 9) to base 14. -141553 Convert 202411103 (base 5) to base 4. 3021212302 What is -286dd (base 14) in base 7? -564666 Convert -243a6 (base 11) to base 2. -1000100100001101 What is -6a821 (base 13) in base 9? -326080 Convert -3122c2 (base 13) to base 16. -1181c2 153b9 (base 12) to base 6 350353 What is 1504245 (base 6) in base 7? 510122 Convert -16345803 (base 9) to base 5. -4043214202 Convert -c7531 (base 14) to base 7. -4042661 4750f (base 16) to base 14 78651 What is -20220222222222 (base 3) in base 15? -4ca8b5 -1f8bd9 (base 16) to base 14 -3bb609 122321311 (base 5) to base 3 1002220220012 What is 49d409 (base 15) in base 8? 15375765 Convert 74733 (base 9) to base 2. 1100000100100000 1977060 (base 11) to base 12 114890a -491990 (base 13) to base 6 -101231332 4077440 (base 8) to base 14 201dcc 1200001110020 (base 3) to base 2 11011000100000001010 -5761 (base 8) to base 15 -d8c -845cb5 (base 14) to base 4 -101003322213 1020013212 (base 4) to base 14 7991c -837339 (base 12) to base 10 -2065437 What is d46d3 (base 16) in base 15? 122c19 989d9 (base 15) to base 7 4056366 1512015 (base 7) to base 5 23023113 Convert -4b450c (base 13) to base 4. -12321221130 Convert 1331221034 (base 5) to base 16. 339d74 -12220230200 (base 4) to base 15 -245652 What is -34403515 (base 6) in base 8? -4023107 -26617616 (base 8) to base 7 -101521440 What is 6425444 (base 8) in base 10? 1714980 Convert 1001010011111010100110100 (base 2) to base 10. 19526964 What is -7ca5 (base 13) in base 11? -121a8 What is -1846997 (base 10) in base 13? -4c88c9 What is -110214442 (base 5) in base 14? -c57b9 Convert -117621a (base 13) to base 3. -101011221021121 Convert 16216360 (base 9) to base 3. 120020120102000 Convert 21374305 (base 8) to base 12. 16518b1 -42013441 (base 5) to base 12 -1476b3 What is 10082aa (base 11) in base 2? 110110011001100101011 Convert -111337b (base 12) to base 14. -60c715 Convert -11b009 (base 12) to base 10. -288585 Convert 80432 (base 14) to base 6. 10334352 -120595 (base 11) to base 9 -321048 35326546 (base 7) to base 11 1839472 Convert 1621211 (base 10) to base 13. 449bc7 Convert -30055 (base 12) to base 4. -33031001 Convert 47a141 (base 15) to base 11. 1a2aa35 Convert -519836 (base 11) to base 5. -203123012 Convert -584284 (base 12) to base 5. -330323343 What is 212001311 (base 4) in base 14? 40aa1 -37135 (base 14) to base 2 -100000111000101011 -214612 (base 9) to base 10 -128072 -199415 (base 12) to base 15 -8dc1b What is -2b546 (base 14) in base 8? -323032 -160449 (base 12) to base 6 -12002533 1020024243 (base 5) to base 15 2ba818 What is 3243045 (base 6) in base 12? 79485 What is -358040 (base 9) in base 16?
{ "pile_set_name": "DM Mathematics" }
32 minutes after 7:11 AM? 9:23 AM How many minutes are there between 7:25 PM and 11:50 PM? 265 How many minutes are there between 9:30 AM and 11:54 AM? 144 What is 398 minutes after 6:56 AM? 1:34 PM How many minutes are there between 5:01 AM and 3:11 PM? 610 What is 2 minutes before 3:54 AM? 3:52 AM What is 304 minutes after 8:43 AM? 1:47 PM What is 549 minutes before 8:41 PM? 11:32 AM What is 420 minutes before 8:13 PM? 1:13 PM What is 148 minutes after 3:49 AM? 6:17 AM How many minutes are there between 9:31 AM and 12:42 PM? 191 What is 596 minutes after 6:36 PM? 4:32 AM How many minutes are there between 11:14 AM and 10:30 PM? 676 What is 165 minutes after 12:04 PM? 2:49 PM How many minutes are there between 7:38 PM and 7:57 PM? 19 What is 63 minutes after 9:45 AM? 10:48 AM What is 27 minutes before 5:47 AM? 5:20 AM What is 303 minutes after 4:09 AM? 9:12 AM How many minutes are there between 10:20 AM and 2:33 PM? 253 What is 587 minutes before 5:50 PM? 8:03 AM What is 406 minutes after 1:17 PM? 8:03 PM How many minutes are there between 11:06 PM and 9:30 AM? 624 How many minutes are there between 7:13 PM and 4:29 AM? 556 What is 705 minutes before 7:39 AM? 7:54 PM What is 323 minutes before 6:45 PM? 1:22 PM How many minutes are there between 4:49 PM and 2:34 AM? 585 What is 197 minutes before 4:32 PM? 1:15 PM How many minutes are there between 6:13 PM and 3:43 AM? 570 How many minutes are there between 3:33 AM and 6:34 AM? 181 What is 237 minutes before 4:39 PM? 12:42 PM What is 344 minutes before 1:51 PM? 8:07 AM What is 204 minutes after 6:46 PM? 10:10 PM What is 341 minutes after 3:48 AM? 9:29 AM What is 482 minutes before 1:42 PM? 5:40 AM How many minutes are there between 4:59 AM and 7:05 AM? 126 What is 194 minutes before 3:27 PM? 12:13 PM How many minutes are there between 12:20 AM and 4:50 AM? 270 How many minutes are there between 9:00 PM and 7:30 AM? 630 What is 410 minutes before 12:35 PM? 5:45 AM How many minutes are there between 2:11 PM and 4:17 PM? 126 What is 170 minutes before 10:01 PM? 7:11 PM What is 420 minutes before 5:10 AM? 10:10 PM How many minutes are there between 9:56 PM and 5:43 AM? 467 What is 587 minutes after 7:00 PM? 4:47 AM How many minutes are there between 1:15 AM and 5:18 AM? 243 What is 19 minutes after 2:53 PM? 3:12 PM How many minutes are there between 1:17 PM and 9:05 PM? 468 What is 491 minutes before 8:22 AM? 12:11 AM What is 132 minutes after 1:21 PM? 3:33 PM What is 643 minutes before 5:51 AM? 7:08 PM How many minutes are there between 3:35 PM and 12:27 AM? 532 What is 121 minutes before 6:40 PM? 4:39 PM How many minutes are there between 2:45 AM and 3:36 AM? 51 How many minutes are there between 11:25 PM and 4:45 AM? 320 How many minutes are there between 9:48 PM and 8:57 AM? 669 What is 51 minutes before 8:09 PM? 7:18 PM What is 103 minutes before 10:40 AM? 8:57 AM How many minutes are there between 3:48 AM and 11:35 AM? 467 How many minutes are there between 7:22 PM and 9:46 PM? 144 How many minutes are there between 8:45 PM and 12:57 AM? 252 How many minutes are there between 4:51 PM and 10:00 PM? 309 What is 341 minutes after 7:59 PM? 1:40 AM What is 14 minutes after 1:51 PM? 2:05 PM How many minutes are there between 12:15 PM and 11:36 PM? 681 What is 191 minutes before 1:11 AM? 10:00 PM How many minutes are there between 12:40 AM and 8:17 AM? 457 What is 300 minutes after 9:24 PM? 2:24 AM What is 154 minutes after 12:59 AM? 3:33 AM How many minutes are there between 6:15 AM and 11:24 AM? 309 How many minutes are there between 11:13 PM and 3:26 AM? 253 What is 373 minutes before 7:25 PM? 1:12 PM What is 144 minutes before 1:30 AM? 11:06 PM How many minutes are there between 1:25 AM and 4:56 AM? 211 What is 430 minutes before 1:28 AM? 6:18 PM How many minutes are there between 7:04 PM and 5:59 AM? 655 How many minutes are there between 6:26 PM and 8:48 PM? 142 What is 366 minutes after 1:09 PM? 7:15 PM How many minutes are there between 9:38 PM and 4:06 AM? 388 How many minutes are there between 10:43 AM and 6:06 PM? 443 What is 669 minutes after 12:45 PM? 11:54 PM How many minutes are there between 7:00 AM and 1:34 PM? 394 How many minutes are there between 11:55 PM and 6:02 AM? 367 What is 4 minutes before 9:26 PM? 9:22 PM What is 459 minutes after 1:44 AM? 9:23 AM How many minutes are there between 2:27 AM and 5:20 AM? 173 What is 576 minutes before 10:14 PM? 12:38 PM What is 359 minutes before 5:51 PM? 11:52 AM How many minutes are there between 9:29 PM and 2:31 AM? 302 How many minutes are there between 5:09 AM and 12:48 PM? 459 What is 249 minutes after 11:02 AM? 3:11 PM How many minutes are there between 7:02 AM and 8:33 AM? 91 What is 71 minutes before 12:42 AM? 11:31 PM How many minutes are there between 9:54 PM and 4:44 AM? 410 What is 714 minutes after 12:30 AM? 12:24 PM How many minutes are there between 6:31 PM and 11:05 PM? 274 How many minutes are there between 2:48 PM and 3:38 PM? 50 How many minutes are there between 6:50 PM and 10:33 PM? 223 What is 265 minutes after 11:04 PM? 3:29 AM How many minutes are there between 7:34 AM and 7:03 PM? 689 How many minutes are there between 1:01 AM and 12:56 PM? 715 What is 644 minutes before 7:28 AM? 8:44 PM What is 661 minutes after 12:57 PM? 11:58 PM What is 458 minutes after 8:08 PM? 3:46 AM What is 117 minutes after 11:05 AM? 1:02 PM What is 2 minutes after 10:45 PM? 10:47 PM How many minutes are there between 5:01 AM and 2:53 PM? 592 How many minutes are there between 2:36 AM and 1:54 PM? 678 What is 454 minutes after 5:39 AM? 1:13 PM How many minutes are there between 6:00 PM and 12:46 AM? 406 How many minutes are there between 5:39 AM and 4:41 PM? 662 What is 63 minutes after 8:54 PM? 9:57 PM How many minutes are there between 10:17 PM and 11:28 PM? 71 How many minutes are there between 6:44 AM and 6:33 PM? 709 What is 714 minutes before 1:21 AM? 1:27 PM What is 709 minutes before 8:23 AM? 8:34 PM How many minutes are there between 10:52 PM and 3:05 AM? 253 What is 414 minutes before 11:50 AM? 4:56 AM How many minutes are there between 5:32 PM and 7:13 PM? 101 How many minutes are there between 2:16 PM and 2:55 PM? 39 How many minutes are there between 9:42 PM and 8:42 AM? 660 What is 36 minutes after 3:08 PM? 3:44 PM What is 223 minutes after 11:22 AM? 3:05 PM What is 681 minutes after 12:15 AM? 11:36 AM What is 530 minutes before 12:43 AM? 3:53 PM How many minutes are there between 9:01 PM and 4:26 AM? 445 How many minutes are there between 12:26 PM and 6:10 PM? 344 How many minutes are there between 2:41 AM and 2:24 PM? 703 What is 171 minutes after 3:46 AM? 6:37 AM What is 320 minutes after 4:15 AM? 9:35 AM What is 172 minutes after 8:22 AM? 11:14 AM What is 715 minutes before 3:18 AM? 3:23 PM How many minutes are there between 1:16 PM and 8:28 PM? 432 How many minutes are there between 9:51 PM and 3:58 AM? 367 How many minutes are there between 1:24 PM and 7:38 PM? 374 How many minutes are there between 12:51 PM and 8:28 PM? 457 How many minutes are there between 1:56 PM and 2:35 PM? 39 How many minutes are there between 3:40 PM and 1:27 AM? 587 How many minutes are there between 6:28 AM and 3:13 PM? 525 How many minutes are there between 9:07 AM and 9:11 AM? 4 How many minutes are there between 6:44 AM and 8:28 AM? 104 What is 240 minutes after 5:51 AM? 9:51 AM How many minutes are there between 11:29 PM and 5:29 AM? 360 How many minutes are there between 3:39 PM and 2:39 AM? 660 How many minutes are there between 5:44 PM and 8:13 PM? 149 What is 473 minutes after 1:15 PM? 9:08 PM How many minutes are there between 8:38 AM and 8:03 PM? 685 What is 406 minutes after 9:58 AM? 4:44 PM How many minutes are there between 4:50 PM and 3:37 AM? 647 How many minutes are there between 10:55 PM and 7:00 AM? 485 What is 202 minutes after 6:01 PM? 9:23 PM What is 596 minutes before 3:00 PM? 5:04 AM How many minutes are there between 12:23 AM and 8:02 AM? 459 What is 50 minutes after 9:49 PM? 10:39 PM What is 255 minutes before 1:09 AM? 8:54 PM How many minutes are there between 12:04 PM and 7:29 PM? 445 How many minutes are there between 9:38 AM and 3:03 PM? 325 How many minutes are there between 12:42 PM and 6:07 PM? 325 What is
{ "pile_set_name": "DM Mathematics" }
-3). Round m to the nearest one million. 42000000 Let s = 7101.06 - 7198. Let p = s - -95. What is p rounded to one decimal place? -1.9 Let x(q) = 858149*q**3 + 4*q**2 - q - 16. Let m be x(-3). What is m rounded to the nearest 1000000? -23000000 Let a = 9.010194 - 9.01. What is a rounded to 5 dps? 0.00019 Suppose 9 + 1 = 5*k. Suppose 107349 = u - k*f, 4*f - 2050 = -u + 105293. Let p = u - -92653. Round p to the nearest 100000. 200000 Let t(o) = -33*o + 72. Let k be t(-22). Round k to the nearest one hundred. 800 Let z = -7 - -36. Let c = z - 28.9999982. Round c to six dps. 0.000002 Let r = 2.36 + -2.2. Let m = r - 0.073. What is m rounded to two decimal places? 0.09 Let n = -220.158 + 218. Round n to 1 decimal place. -2.2 Let w = 1402.99999347 + -1403. What is w rounded to seven dps? -0.0000065 Suppose -2*z = -c - 11260, -23*z + 20 = -27*z. What is c rounded to the nearest one thousand? -11000 Let z = -10.6 + 20.5. Let v = -12 + z. Let f = 2.099968 + v. Round f to five decimal places. -0.00003 Let a = 43.91171865 + 0.08828535. Let i = a - 44. Round i to 6 dps. 0.000004 Let q = -152 - -265. Let c = q + -113.00043. What is c rounded to four decimal places? -0.0004 Let u be 8/(-10)*(-10)/4. Suppose 18000000 = 4*f + 3*t, -u*f - 4500000 = -3*f + 5*t. What is f rounded to the nearest one million? 5000000 Suppose -9961 = -5*t + 5*u - 89796, -4*t + 5*u = 63865. Let s = t + -2530. What is s rounded to the nearest 1000? -19000 Suppose 5*b - 2*d - 25 = 0, -b + d + 1 = -7. Suppose -5*y + 5*m = 4749995, -4 = m - b. What is y rounded to the nearest 100000? -1000000 Suppose -3*t - 5 - 1 = 0. Let o be (-3)/t + 1/2. Let b be (2500/1)/(o/(-20)). Round b to the nearest ten thousand. -30000 Let b(n) = -6*n - 321000. Let q be b(0). What is q rounded to the nearest 10000? -320000 Let b(m) be the second derivative of -6*m + 37037/4*m**4 + 1/2*m**2 + 0*m**3 + 0. Let f be b(3). Round f to the nearest 1000000. 1000000 Let l(m) = -953749*m**3 + 9*m**2 + 15*m + 2. Let z be l(-2). What is z rounded to the nearest one million? 8000000 Let d = 54 - 52. Let b be 6/((-62797)/31400 + d). What is b rounded to the nearest 10000? 60000 Let i = 0.7 - 1.133. Let s = 242.567 - i. Let g = s + -243.129. What is g rounded to 2 decimal places? -0.13 Let c = 2804.753 - 2806. What is c rounded to 1 dp? -1.2 Let s(r) = -r**3 + 12*r**2 - r + 12. Let o be s(12). Suppose -5*p = a + 2*a + 60015, o = -5*p - 15. What is a rounded to the nearest one hundred thousand? 0 Let n = 2198 + -2119.96. Let v = -79 + n. Round v to 1 dp. -1 Let b = 2912469 - 2912467.90000065. Let p = b - 1.1. Round p to seven dps. -0.0000007 Let y = -726 - -725.8068. What is y rounded to 2 decimal places? -0.19 Let r = -2.5995829 - 14439.3374171. Let x = 14348 + r. Let y = x - -94. What is y rounded to 2 decimal places? 0.06 Let r = 718 - 723.51. Round r to 1 dp. -5.5 Let d = 0.42 - 0.3. Let m = d - 8.12. Let v = m + 8.0000006. What is v rounded to 7 decimal places? 0.0000006 Let l = 32 + -4. Let n = 22.1 - l. What is n rounded to the nearest integer? -6 Let g = 67530.38019 - 67530. Let v = 28.38 - 28. Let y = g - v. Round y to 4 dps. 0.0002 Let j = 506 + -534.1. Let d = -5161412.09883 - -5161384. Let l = d - j. Round l to 4 dps. 0.0012 Let b = 23 - 36. Let w = -13.085 + 0.09. Let z = b - w. Round z to 3 decimal places. -0.005 Let f be 3*(-1 - (-4)/6). Let l be 106 + f/(-4)*0. Suppose 0 = 2*q + 5*a + 54, 59 = -5*q - 5*a - l. Round q to the nearest ten. -40 Let q be 8*4648004/(-56) + 4/7. What is q rounded to the nearest 100000? -700000 Let i = -17.83010581 + 17.83. Round i to six decimal places. -0.000106 Suppose -3*o = -6*o + 6. Let s(u) = 3 - 1 - o + 130000*u. Let l be s(2). What is l rounded to the nearest 100000? 300000 Let y be 88/28 + -3 - 3/21. Let r be -2 + y + (-2 - (5 - -25091)). What is r rounded to the nearest 10000? -30000 Let m = -108432.08099919 - -108430.781. Let h = -1.3 - m. Round h to seven dps. -0.0000008 Let n = 13 + -3. Suppose -8*z = -n*z + 8. Suppose -5*v + z*v = -220000. What is v rounded to the nearest 100000? 200000 Let j = -30 + 9.82. Round j to the nearest ten. -20 Let d = 99.973 + -100. Let g = d + 0.02626. Round g to four decimal places. -0.0007 Let j = -8 - -7.92. Let d = 1146.58 + -1136. Let m = j + d. What is m rounded to the nearest integer? 11 Let q = 4.417 + -4.2. Let y = 125.783 + q. Let p = y + -126.0000093. What is p rounded to 6 dps? -0.000009 Let m = -32275 + 66375. Round m to the nearest 100000. 0 Let s = 14 + -20. Let a(v) = v**2 + 6*v + 3. Let p be a(s). Suppose -104994 = 5*l - 3*m, l + p*l = 3*m - 83994. What is l rounded to the nearest 1000? -21000 Let z = -215735 - -146535. Round z to the nearest 1000. -69000 Let y = -0.0697766 + 0.07. What is y rounded to five decimal places? 0.00022 Let f(d) be the third derivative of d**6/60 - d**5/60 - d**4/12 + 15250000*d**3/3 - 17*d**2. Let v be f(0). Round v to the nearest one million. 31000000 Let t = 44591787 + -66054967. Let u = t - -21463178.7999959. Let f = 1.2 + u. What is f rounded to 6 dps? -0.000004 Suppose 16113636 = -6*l + 2*l. Let i = 1198409 + l. Round i to the nearest 1000000. -3000000 Suppose 4*q = 5*t - 882684 + 4382669, 874985 = q - 5*t. What is q rounded to the nearest 1000000? 1000000 Suppose 0 = -3*s + 32262 + 21582. Suppose -y = 2*f + 12000, 0 = -4*y + f - s - 30052. What is y rounded to the nearest one thousand? -12000 Let t = 8154.54212 - 8122.41. Let l = t - -0.07788. Let j = l + -32. What is j rounded to 2 dps? 0.21 Let p = -30 - -46. Let m = p - 15.99885. What is m rounded to four dps? 0.0012 Let o = -125.2 - -42. Let y = -72 - o. Let f = y - 17. Round f to 0 decimal places. -6 Let h = -2 - 1. Let l(f) = -61111*f**3 + f**2 + f + 3. Let r be l(h). Let j be (-1)/5 + r/30. Round j to the nearest 10000. 60000 Let j = 6.1200687 + -6.12. Round j to 6 decimal places. 0.000069 Let v be -7 + 12/4 - -4. Let l be (-5901 - (-1 + 2)) + (v - -2). What is l rounded to the nearest 10000? -10000 Suppose 332*x + 50320 = 340*x. Round x to the nearest one hundred. 6300 Let h(s) = 283334*s + 4. Let t be h(-6). What is t rounded to the nearest one hundred thousand? -1700000 Let r = 41.9999992 - 42. What is r rounded to 5 dps? 0 Let r = 106 + -107.96. Let c = 1.8 + r. Round c to one decimal place. -0.2 Let i = -4 + 4.4. Let h = -3.065 + 3.46656. Let q = i - h. What is q rounded to 4 decimal places? -0.0016 Let y = 17.8 - 0.8. Let j = -5 + y. Let x = -11.65 + j. Round x to 1 decimal place. 0.4 Let m be 5350/(-3)*(6/6 - 16). Round m to the nearest one thousand. 27000 Let a = 19.36 + -0.36. Let z = a + -17.3. Let s = 1.79 - z. What is s rounded to 1 decimal place? 0.1 Let v = -126.5729 - -126.5. What is v rounded to 2 dps? -0.07 Let s = -44 - 195. Let p = -705 - s. Let c = p - -166. What is c rounded to the nearest 1000? 0 Let x(z) = -5948*z - 4. Let f be x(-5). Suppose f = 6*s + s. Suppose 2*b + 1148 = s. What is b rounded to the nearest one hundred? 1600 Let l = -49.031 - -49. Let n = l - 0.809. Let w = 0.01 + n. What is w rounded to 1 dp? -0.8 Let x = -0.44507 - -0.443. What is x rounded to three decimal places? -0.002 Let i = 19348 + 6292. Round i to the nearest ten thousand. 30000 Let z = -49 - -33. Let k = -15.987 - z. What is k rounded to two dps? 0.01 Suppose -3300*x + 3294*x + 29160 = 0. What is x rounded to the nearest one thousand? 5000 Let k = -67 + 66.978. Let w = k + 0.02200043. Round w to 7 decimal places. 0.0000004 Let j = 54.3 - 71. Let c = -850.08 + 865. Let h = j + c. Round h to 1 decimal place. -1.8 Let h = 45377.806 + -45341. Let s = 0.406 - h. Round s to the nearest integer. -36 Suppose 8*z + 5376 = 12*z. Suppose q + 10310 = -1334. Let i = q + z. What is i rounded to the nearest 1000? -10000 Let f = -44827886 + 14107462. Let v = -30720437.0000008 - f. Let g = -13 - v. What is g rounded to seven decimal places? 0.0000008 Let w = 33 - 33. Suppose 2*u + 4 = w, -2*a + u - 236 = 922. Round a to the nearest one hundred. -600 Let t = 230.9894 - 231. Round t to one dp. 0 Let f = 196 + -244.8. Let r = 1.2 - f. Let m = r + -50.57. What is m rounded to one decimal place? -0.6 Let r = -6.84 + -29.34. Round r to the nearest integer. -36 Let w be ((-48)/56)/(3/(-28)). Suppose 4*n - 3*r = 87615, -5*n + 4*r = w*r - 109480. Wh
{ "pile_set_name": "DM Mathematics" }
-5 a Which is the nearest to 4? (a) 0 (b) -1 (c) 7 (d) 4 d What is the closest to 0.2 in 1/8, 0.1, 2/3, -19/23? 1/8 What is the closest to -1/4 in 3, -3/5, -0.19? -0.19 Which is the nearest to 0.1? (a) 4 (b) -13 (c) 5 (d) -0.5 d What is the closest to 0 in -47, 19, 0.1, 0.3? 0.1 What is the nearest to -1 in 0.5, 2/7, 0.12, 2? 0.12 What is the nearest to -1 in 4, -0.3, 14, -0.6? -0.6 What is the closest to 1 in -42, -0.3, -3? -0.3 Which is the nearest to -0.4? (a) -2/9 (b) 3 (c) -0.3 (d) 4 c Which is the nearest to 0? (a) -0.4 (b) -0.07 (c) -4/21 b What is the nearest to 0.2 in 3/22, 7, -1/2? 3/22 What is the closest to 2 in 36, 1, -5? 1 What is the nearest to 2 in -16, -6, 0.05, -0.3? 0.05 What is the nearest to 0.1 in 0.5, 4/5, -9, 2/7? 2/7 Which is the closest to 9/11? (a) -2 (b) 2/11 (c) 2/9 c Which is the nearest to 0? (a) -2/11 (b) 1.7 (c) -48 a Which is the nearest to 3? (a) 2/3 (b) -127.4 (c) -1 (d) 2 d Which is the closest to -90/11? (a) -1/5 (b) -2/15 (c) 0.4 (d) 0.3 a Which is the closest to 0.1? (a) 2/3 (b) 14 (c) 3 (d) -0.1 d Which is the nearest to -1? (a) -6 (b) 14 (c) 5 a What is the closest to 0 in 2/23, 1, -3.3, -0.2? 2/23 Which is the closest to 2/7? (a) -23 (b) 1/3 (c) -0.2 (d) -8 b Which is the nearest to 0.1? (a) 2/25 (b) 3/5 (c) -34 (d) 4 a Which is the closest to 0? (a) 13/5 (b) -3 (c) -5 (d) -5/4 d Which is the nearest to 2? (a) -699 (b) 5 (c) 0.1 c Which is the nearest to 2/7? (a) 4 (b) 135 (c) -2/3 (d) -1 c Which is the nearest to 1/4? (a) -3 (b) -0.04 (c) 0.2 c Which is the nearest to -0.1? (a) -6/5 (b) -0.3 (c) -13 b What is the nearest to -2 in -4, 0.5, -0.5, 66? -0.5 Which is the closest to 1? (a) -1 (b) -3 (c) 2 (d) -0.076 c What is the nearest to 1 in -0.2, -3, -4, 1? 1 What is the closest to 37 in -0.2, -5, -4/5, 2/15? 2/15 Which is the nearest to -1/4? (a) -3 (b) -67 (c) -1 (d) -2/3 d Which is the closest to 0? (a) -52 (b) -3 (c) -0.5 (d) -0.05 d Which is the closest to -0.3? (a) 36/5 (b) 2 (c) -7 b Which is the nearest to 1? (a) 0 (b) -2 (c) -144 a Which is the closest to -0.83? (a) 0 (b) 0.2 (c) -1 (d) -2 c Which is the nearest to -6/7? (a) -6 (b) 2/7 (c) 0.1 (d) -5 c Which is the closest to 1/4? (a) -1 (b) 4 (c) -4 (d) -1.24 a What is the nearest to 0.7 in -3, -3/5, 34? -3/5 Which is the nearest to 1? (a) -4 (b) -2/97 (c) -0.4 (d) -5 b Which is the closest to 1? (a) 0.3 (b) 0.5 (c) -478 (d) 4 b What is the nearest to 100 in 12, 0.5, 3, -5? 12 What is the nearest to -1/109 in 5/4, -0.3, 0.3? -0.3 Which is the nearest to -12? (a) 5 (b) -10 (c) 1/4 (d) 0.2 b What is the closest to 1 in 0.2, -0.5, 3, -1/4? 0.2 What is the nearest to -1 in -18.59, 2/9, 0? 0 What is the closest to -1 in 9, 0, -54? 0 What is the closest to 14 in -0.2, -2/3, 5, -0.5? 5 Which is the closest to 4? (a) -1 (b) 0.4 (c) -0.4 (d) 2/9 b What is the nearest to 1/3 in 0.1, -5, -4/17, 0? 0.1 Which is the closest to 0.3? (a) -0.03 (b) -1 (c) 0 (d) -2/9 c What is the nearest to 2/7 in -0.1, -1.3, -0.5? -0.1 What is the closest to -1 in -0.2, 0, -2/13? -0.2 What is the nearest to 0.3 in 3/7, -0.5, 5/7? 3/7 Which is the closest to -41? (a) 5/4 (b) -0.3 (c) 2 b Which is the nearest to 0? (a) -0.1 (b) 12 (c) -1 a Which is the nearest to 2/3? (a) 5 (b) -4 (c) 22/3 a What is the nearest to 1 in 1/5, 4, 0, -1? 1/5 Which is the closest to -0.6? (a) 5 (b) 4 (c) 0 c Which is the closest to 1? (a) 0 (b) -2/15 (c) 11/5 a Which is the nearest to 1? (a) -2 (b) -2197 (c) 0.5 c Which is the nearest to -7? (a) 0.26 (b) 2/9 (c) -4/3 c What is the nearest to 0.9 in -3, -0.3, -1, 0? 0 What is the closest to 0.1 in -0.5, -0.025, 3, -0.2? -0.025 What is the closest to 16/7 in -2, -1, -4? -1 What is the closest to 29 in 5, -1/6, -5, -1? 5 What is the nearest to 1/2 in -0.1, 2/5, 26, -2? 2/5 Which is the closest to -6? (a) -0.03 (b) -0.2 (c) -0.5 (d) 2/5 c Which is the closest to 2/3? (a) -0.3 (b) -0.5 (c) -2 (d) 0.34 d Which is the closest to -1/7? (a) 0.3 (b) -1 (c) -2 a What is the closest to 2 in -0.3, -0.03, -0.2? -0.03 What is the closest to 1 in -6, -4, 1? 1 Which is the nearest to -1/2? (a) 2/7 (b) 0.3 (c) 10 (d) 1/7 d Which is the closest to 1/140? (a) -3 (b) 5/3 (c) -6 b What is the nearest to -1 in -1/7, 0.12, -1/5? -1/5 What is the nearest to 0.1 in -1153/5, 2/3, -5/3? 2/3 Which is the closest to -0.03? (a) 0.1 (b) -2/99 (c) -0.3 b Which is the nearest to 0.1? (a) 0.5 (b) -2 (c) -322/5 a Which is the closest to -5/8? (a) -34 (b) -4 (c) 0.5 c What is the closest to -1 in 12/5, 1, 5/6? 5/6 Which is the nearest to 0.2? (a) 7/2 (b) 0.2 (c) 5 (d) 0.1 b What is the closest to 0 in -31/4, 5, -0.3, 0? 0 Which is the closest to -0.3? (a) 1 (b) 1/10 (c) -28/11 (d) -0.1 d Which is the closest to -4? (a) 0.1 (b) -29/6 (c) 1/8 b Which is the closest to 0.1? (a) -2 (b) 0.05 (c) -209 (d) 2 b Which is the closest to -0.7? (a) -0.3 (b) -0.4 (c) 0.4 (d) 3 b Which is the closest to -2? (a) -7 (b) -3 (c) 1/4 b What is the nearest to -3/5 in 2/3, -5, 14, 4? 2/3 What is the nearest to -15 in -49, -1/2, -1/3? -1/2 Which is the closest to -1/4? (a) -3/5 (b) -2 (c) -5/8 a Which is the nearest to -1? (a) -2 (b) -1 (c) -1/4 b What is the nearest to 1/3 in 33, 0.2, -0.1? 0.2 What is the closest to 2 in 9/16, 2/9, -4? 9/16 What is the nearest to -1 in -1, -4, -1/4, -7/9? -1 Which is the nearest to -0.2? (a) -13 (b) -3/7 (c) 0.17 b What is the closest to 1/3 in -0.2, -4, 1/8? 1/8 Which is the nearest to 1/66? (a) -2/3 (b) 3 (c) 0.8 a Which is the nearest to 0.1? (a) 1 (b) 2 (c) -1 (d) 47 a What is the closest to 2 in -28, -8/5, 2/9? 2/9 What is the closest to -0.11 in -0.6, 2, 16, 5? -0.6 Which is the closest to 0? (a) 0 (b) 1/4 (c) -0.1 (d) -4/11 a Which is the closest to 2? (a) 5 (b) -0.06 (c) 0 c What is the nearest to 0 in -21, -97, 4? 4 What is the nearest to -0.1 in 7/20, 0.1, 3? 0.1 Which is the nearest to 2/7? (a) 2/9 (b) -2/17 (c) -4 a What is the closest to 5 in -0.06, -1, 0.1, -0.2? 0.1 What is the closest to 9 in 5, -0.09, 2? 5 Which is the closest to -0.3? (a) -2 (b) -0.2 (c) -1/7 (d) -0.1 b Which is the nearest to 1? (a) -11 (b) 0 (c) -5 b What is the nearest to -4 in -2, -5, -0.1, -0.4? -5 Which is the closest to 0.08? (a) 17.3 (b) 1 (c) -2 b Which is the closest to 0.3? (a) -173 (b) 0.3 (c) -2/13 (d) -5 b Which is the nearest to 0.1? (a) 0.1 (b) 4 (c) 350 a Which is the closest to 3? (a) 1/2 (b) -56 (c) 2 (d) -2/7 c Which is the nearest to 0.1? (a) 1/6 (b) -0.03 (c) 3/4 (d) 2/5 a Which is the nearest to -1? (a) -0.17 (b) -1 (c) 0.1 (d) 1/5 b Which is the closest to 47.3? (a) -2/7 (b) 2 (c) -1/4 (d) 2/7 b Which is the closest to -1/3? (a) 1 (b) -44 (c) 0.1 (d) 0.01 d Which is the nearest to 0? (a) 2/11 (b) -1/3 (c) 7 (d) 0.1 d Which is the closest to -1? (a) 0.1 (b) -3 (c) -0.4 (d) 46 c Which is the closest to 4? (a) 37 (b) -1/6 (c) 6 c Which is the closest to 2/3? (a) -4 (b) 1 (c) -8 (d) 43 b Which is the nearest to -0.2? (a) -0.1 (b) 1/2 (c) 15 a Which is the closest to 9? (a) 0.361 (b) -0.1 (c) 1/2 c What is the nearest to -2 in 4/7, 4, -4? -4 What is the nearest to -3 in 0.5, -0.2, -1/9, 2? -0.2 What is the nearest to -144 in 0, -10, 0.2? -10 What is the nearest to 2 in 80, 5, -2/7, -5? -2/7 What is the nearest to -1/3 in -309, 2/3, -4? 2/3 What is the closest to -1 in -2/5, -0.51, -2/13, -1? -1 Which is the closest to -1/35? (a) -2 (b) -5 (c) -1/4 (d) -0.2 d What is the closest to -2/21 in 83, 0.1, -0.4? 0.1 What is the nearest to -0.2 in -0.08, 2, 1? -0.08 Which is the closest to 0.1? (a) 0.2 (b) 49 (c) 1/4 (d) 4 a What is the nearest to -2 in 4, -0.1, 2/11? -0.1 What is the closest to 1/3 in 14/5, 3, -7, 0.3? 0.3 What is the closest to 31 in 1, 3/5, 0, -3/5? 1 Which is the closest to -2? (a) 0.2 (b) 3 (c) 5 (d) 8 a What is the closest to 2/7 in 1/2, 4, -2, -0.07? 1/2 Which is the closest to 0? (a) -0.2 (b) 82 (c) -0.4 (d) -1/2 a Which is the nearest to -1/2? (a) 0.4 (b) 6 (c) 28 a What is the closest to 0.05 in -4/5, 4/3, -52/11? -4/5 Which is the closest to -7? (a) 0.2 (b) 0.0
{ "pile_set_name": "DM Mathematics" }
w = 3*w. Suppose w = -0*n - 2*n + 254. Is n a prime number? True Let d be ((-7)/(-14))/(2/(-72)). Is 4/18 + (-1418)/d composite? False Let x(f) = 2*f**2 + f + 3. Let i(w) = 6*w + 4. Let o be i(-4). Let u be 72/o + 4/(-10). Is x(u) a composite number? False Let l(n) = -n**2 + 2*n. Let b be l(2). Suppose -189 = 10*h - 13*h. Suppose 5*v - h - 2 = b. Is v composite? False Let n(m) = 143*m - 2. Is n(1) prime? False Let b = 1256 + -702. Is b a prime number? False Let b(m) = m**3 - 7*m**2 + m + 6. Let f be b(6). Is ((-219)/4)/(6/f) a prime number? False Suppose -4*u + 0*y = -2*y - 514, 4*y - 20 = 0. Is u a prime number? True Let x(j) = -j - 11. Let s be x(-5). Let g(o) = 7*o**3 + 9*o**2 - 8*o + 1. Let b(a) = -a**3 - a**2. Let y(d) = s*b(d) - g(d). Is y(-6) prime? True Let m be (4/(-6))/((-1)/237). Let l be (-2 + 1)*(2 + -79). Let s = m + l. Is s prime? False Suppose -t = -5*p - 100, t - 31 - 65 = p. Suppose -5*n + 0*n = -t. Is n composite? False Let i = 2 + 2. Let z(u) = -2*u**3 + 2*u**2 + 5*u - 3. Let s(f) = -4*f**3 + 3*f**2 + 10*f - 6. Let c(d) = -3*s(d) + 5*z(d). Is c(i) prime? True Let p = 5 - 5. Suppose -2*l = -p*d - 3*d - 53, -4*l - 2*d + 66 = 0. Is l prime? True Let r be (-1 + 1)/((-11)/(-11)). Let p(a) be the first derivative of -a**4/4 + a**3/3 + 9*a - 1. Is p(r) a composite number? True Let w(a) = 42*a + 5. Let c be 4 + -3 + (-1 - -6). Is w(c) composite? False Let q(o) = 0*o - 5*o - 2 + 0. Is q(-5) prime? True Suppose -x + 4*i + 353 = 0, -7*i + 4*i + 1029 = 3*x. Suppose -2*s = s - x. Is s a prime number? False Suppose 0 = 4*b + 5*l - 827, 0 = -b + 2*l + 2*l + 191. Is b prime? False Suppose -2*z + 116 = -3*b, -5*z - 3*b + 340 = 2*b. Let y = z + -195. Let v = 208 + y. Is v prime? False Let i(n) = n**3 - 8*n**2. Let d be 2/3*(-42)/(-4). Let s be i(d). Is 1 - s*3 - 3 a composite number? True Suppose -4*j = -3*q - 7, 12 = 4*j - 5*q + 3. Suppose 7 = -3*f - 5. Is ((-2)/f)/(j/182) a composite number? True Let r be (-80)/(-36) + (-4)/18. Suppose 10 = 3*s - 2*g + 26, -g + r = 0. Let i(n) = -n**3 + 4*n**2 - 1. Is i(s) prime? True Let z(s) = s**2 + s - 2. Let t be z(-3). Suppose -t*x - 93 + 673 = 0. Is x a prime number? False Suppose 3*v + 1997 = 5*c, -c - 2*v = -187 - 202. Is c a composite number? False Suppose -6*v = -2*v - 500. Is (1 - v)/(-2 - 0) prime? False Suppose -q + 549 = 2*q. Suppose 4*x = x - q. Let s = 116 + x. Is s composite? True Let s be (-3)/(-2) + (-942)/(-12). Is s + -2 - 0 - -1 a composite number? False Let x = 11 + -11. Suppose 10 = 2*q + 3*q, x = -4*o + q + 1002. Is o a composite number? False Suppose 4*c + 5*a = 345, -c + 4*a = 3*c - 336. Is c prime? False Let u = 1 + 7. Suppose 2*v = r - 6, -3*r - 23 = 5*v - u. Suppose 2*k + r*k = 4*y - 226, 0 = 5*y + 2*k - 269. Is y prime? False Let d(z) be the first derivative of -7*z - 5*z**2 + 1 - 1/3*z**3. Is d(-7) a prime number? False Suppose 0 = 2*j - 4*c - 580 - 206, -2*j = -3*c - 781. Is j a composite number? False Let u(t) = 9*t**3 + 23*t**2 - 8*t + 6. Let g(d) = -5*d**3 - 12*d**2 + 4*d - 3. Let b = 7 + -3. Let f(m) = b*u(m) + 7*g(m). Is f(-8) composite? True Let z be (-6)/15 + 1974/10. Suppose 0 = 3*s - 2*f - z, f = 3*f - 4. Is s prime? True Suppose 2*t + 3*m - 2*m - 377 = 0, 4*t - 3*m - 729 = 0. Suppose 0*i - t = -i. Let z = i - 131. Is z prime? False Is (1016/12)/(2/3) a composite number? False Suppose -3 = k - 2. Let p(g) = g**3 + g - 1. Let y(j) = 2*j**3 + 9*j**2 - 7*j + 2. Let z(r) = k*y(r) + 3*p(r). Is z(8) a composite number? False Is (-5 - (6 - 8577)) + -3 a composite number? False Let a(n) = n - 6. Let g be a(6). Let c(k) = g*k - 5*k + 4*k - 5*k - 1. Is c(-4) a composite number? False Let r be ((-1)/(-1) + 21)*4. Suppose -5*k - 33 = -r. Suppose p - k = 3*x, -4*x + x + 12 = 0. Is p prime? True Let n(l) = l**3 + 6*l**2 - l - 3. Let q be n(-6). Suppose 7*f - 44 = q*f. Is f prime? True Suppose -98 = -k + 5*p, 5*k + 4*p = 637 - 60. Is k a prime number? True Suppose 2*k + p - 67 = 136, k + p - 100 = 0. Is k prime? True Let x(g) = g**2 - g + 5. Let h(t) = -7*t**2 - 29*t - 33. Let q(d) = -3*d**2 - 14*d - 16. Let s(r) = -2*h(r) + 5*q(r). Let i be s(-10). Is x(i) prime? False Suppose 6*c - 395 = c. Is c composite? False Suppose 0 = -5*u + 25, -4*i - 2*u + 18 = -0*u. Is -2*((-405)/6 - i) composite? False Let g = -28 - -12. Is 2686/18 - g/(-72) a composite number? False Suppose 3*y - 5*s = 4514, -6*s = -5*y - 3*s + 7550. Is y a composite number? True Suppose n = -3*r + 298, 5*n - 947 = 5*r + 603. Is n a prime number? True Suppose 5*z = -3*r + 34, -23 = 5*r + 3*z - 85. Is r a prime number? True Let i(v) = 5*v**2 + 11*v - 3. Let b(w) = -4*w**2 - 10*w + 2. Let j(g) = 6*b(g) + 5*i(g). Suppose 4*a = a - 3, 2*a = -2*y - 12. Is j(y) a composite number? False Suppose 8*q + 2*h - 1074 = 4*q, 4*q = 3*h + 1099. Is q a composite number? False Suppose a - 2*v + 10 = -0, 4*a - 2*v = -22. Is ((-132)/8)/(3/a) prime? False Suppose 3*g + 3*q = q + 749, -5*g - 3*q = -1250. Is g composite? True Suppose 2850 = 13*f + 913. Is f prime? True Let z(p) = 5*p**2 - p + 1. Suppose 27*k = 24*k - 12. Is z(k) composite? True Let r(k) = 4 + 4*k**2 + 5 - 6*k + 13*k. Is r(-6) composite? True Let f = -33 - -1091. Suppose -5*d = 318 - f. Let g = 234 - d. Is g a composite number? True Let m = 78 + -27. Suppose -2*f + 5*f - 68 = -2*r, -36 = -r - 2*f. Let d = m + r. Is d composite? False Let s(h) = -h**2 + 6*h + 7. Let p be s(7). Let b(w) = -3*w**3 + 2*w**2 + w. Let a be b(-1). Suppose -27 = -o + 2*c - 4*c, c - a = p. Is o composite? False Let o = -9 - -13. Suppose -q = -o*i - 6*q + 45, 2*q = -4*i + 30. Suppose -i*r + 21 + 49 = 0. Is r a prime number? False Suppose -3*a = -3, 20 = 4*s - a - 3*a. Is s prime? False Let z be 27/6*(21 - 3). Let f(q) = -40*q - 6 - z*q - 9*q + 3. Is f(-2) a prime number? True Suppose -9 = m + 2*m. Let t(c) = -2*c**3 + 4*c**2 + 5*c + 4. Is t(m) a prime number? True Suppose -15*o - 1060 = -17*o. Let u = -331 + o. Is u prime? True Let y(g) = g**2 - g - 1. Let r be y(2). Let n be r + -3 + (-1 - -7). Let u = n + 10. Is u composite? True Let p(v) = -v**2 - 13*v + 37. Is p(-11) prime? True Suppose 2*o - 532 = 2554. Is o composite? False Let r be 2/8 + 297/12. Suppose 0 = 5*s + p - r, 2*p - 4*p = 4*s - 20. Suppose -m + z + 47 = 13, -s*m + 188 = z. Is m composite? False Let d(c) = 5*c**2 + 8*c - 24. Is d(-11) prime? False Let u(i) = -i**2 + 5*i - 2. Let j be u(3). Suppose j*h = -3*c - 17, -c - 11 = -h - 3. Is c*1*2/(-2) composite? False Suppose -2*u + 211 = -211. Is u prime? True Suppose 2*g = -8 - 0, -2*c + 4*g = 410. Let j = -52 - c. Is j a composite number? True Suppose 5*o = -79 + 1344. Is o a prime number? False Suppose 39 + 7 = 2*a. Suppose 0 = -2*h + h + a. Is h a composite number? False Let r(b) = -b**3 - 1. Let d be r(-1). Suppose 0 = o + 5*z - 6, d*o - 2*z - 90 = -4*o. Is o a composite number? True Let h = -8 - -8. Suppose 2*o - 27 - 11 = h. Is o prime? True Suppose 2*x - 708 = x - 2*y, 2*x = -5*y + 1411. Is x a composite number? True Is 498/26 - 2/13 prime? True Let f = -927 - -1904. Is f prime? True Suppose -3*g - 4*j + 515 = 0, -5*g - 5*j = -1036 + 171. Is g a composite number? True Let t(l) = 11*l**3 + 3*l**2 - 2*l + 4. Let q(k) = -23*k**3 - 6*k**2 + 4*k - 7. Let v(x) = -3*q(x) - 5*t(x). Is v(2) a composite number? True Suppose 3*j + 1808 = f, 9078 = 5*f - 0*f + 4*j. Is f prime? False Suppose 5*s + 7 = 2. Is (-153)/(-3) + (-3 - s) composite? True Suppose -191 + 36 = -5*n. Is n composite? False Let a = -5 + 42. Is a a prime number? True Let f(u) = 11*u + 1. Let x(o) = 33*o + 4. Let h(w) = 7*f(w) - 2*x(w). Is h(4) composite? False Let t be 3 + (-5)/(15/(-12)). Suppose 3*u = t*u + 52. Let l = 62 + u. Is l composite? True Let r(f) = 9*f**3 + f**2 + 2*f + 2. Let z be r(3). Suppose 2*p = -2*p + z. Is p composite? True Suppose -2*u + 2*p + 9908 = 0, u = 5*u - 2*p - 19822. Is u a composite number? False Let p = 46 - 27. Let f = -6 + p. Is f composite? False Let d = 731 - 321. Is (6 - 4) + d - 3 prime? True Suppose 8*l - 4*l - 892 = 0. Is l a prime number? True Let u be (-6)/3 - 0/(-2). Let j(v) = -v**3 - 6*v**2 + 7*v - 1. Let t be j(-7). Is (0 - -1) + u/t prime? True Let f be 1*(-2 - -1)*3. Let y(t) = t**3 + 2*t**2 - 2*t + 4. Let r be y(f). Let o = 18 + r. Is o prime? True Let c(h) be the second
{ "pile_set_name": "DM Mathematics" }
osite? False Let f be (-3 - (3 + -14))*4. Suppose 0 = 3*y - 5*l - f, l + l + 20 = 3*y. Suppose -5*w + y*w + 445 = 0. Is w composite? True Let o be (4/(-6) - -1)*3. Is 305 + -6*o/(-3) composite? False Suppose 0 = -4*m + 5*k + 254563, -115583 - 75383 = -3*m - 5*k. Is m a composite number? False Suppose 5*y + 21 = d, -2*y + 3*d + 9 = -5*y. Let l be 2/(-8) + (-477)/y. Suppose -52 = -k - p, -2*k + l = -p + 6*p. Is k prime? True Let q = -1844 - -2931. Is q composite? False Suppose 5*o + 3 = 13. Suppose -b - o*b = -4113. Is b prime? False Let h(c) = -c + 9791. Let t be (14 - 8 - 6)/(2*-1). Is h(t) composite? False Suppose 6*a + 3*c = a - 2825, 1130 = -2*a + 3*c. Let l = 1652 + a. Is l a composite number? False Suppose -4*x - 5*l = -0*l - 52, -l + 52 = 4*x. Let o = x - -61. Is o composite? True Let i be -2 + 0 + 1 + 508/(-2). Let x = 728 + i. Is x a composite number? True Let q(b) = 144*b**2 + 5 + 4*b - 7 + 5. Is q(-2) a prime number? True Let i(t) = -5 + 3*t + 163*t**2 + 1 + 2. Let z be i(1). Let n = z - 79. Is n a composite number? True Suppose 69*f - 3154789 = 10*f. Is f prime? False Let y = -5 + -5. Let w = y + 15. Suppose -4*l = -w*j + 547 - 1470, -3*l = -5*j - 686. Is l a prime number? False Suppose -605 = 5*z + 2095. Let i = z + 763. Is i prime? True Suppose 6 = -0*k + 3*k. Let a be (-44)/k*(-10)/4. Suppose -x - 8 = -a. Is x composite? False Let q be ((-40)/(-3))/(3/(48 + -3)). Suppose q - 617 = -3*s. Is s a composite number? False Let y = -13 - -16. Let g(b) = -3*b**2 + 0*b + 5*b**3 - 2 + 2*b - 5*b. Is g(y) a prime number? True Let x = 14 - 22. Is 276/x*(-6)/9 composite? False Suppose 2444 = 5*r + c, r - c - 490 = -0*r. Is r prime? False Let l(w) = -680*w + 14. Let v(m) = -340*m + 7. Let d(h) = -6*l(h) + 11*v(h). Is d(2) a composite number? False Let b(c) = 15*c - 8. Let d(u) = -u**2 + 61*u - 33. Let l(o) = 9*b(o) - 2*d(o). Let a = -45 + 32. Is l(a) composite? False Suppose 0 = 4*u - 16. Suppose -u*d + 91 = -3*y - 345, 0 = 3*d + 5*y - 327. Is d a prime number? True Let c(u) be the second derivative of -u**5/5 + u**4/6 + 2*u**3/3 + u**2/2 + 16*u. Is c(-2) prime? False Let d = 31 - 25. Suppose d*p = 5*p. Let y(k) = k**2 - k + 145. Is y(p) a composite number? True Let t = -16 - -19. Suppose 0 = -t*z + 505 - 10. Suppose 3*u - z = -3*o, 4*u - 3*o - 196 = -o. Is u prime? False Let l(n) = 481*n - 638. Is l(19) composite? False Let v(j) = -j**3 + 10*j**2 - 7*j - 12. Let t be v(9). Suppose 0 = 2*m + t - 24. Is 29 + -3*(-6)/m prime? True Suppose 8*n - n = 42. Suppose -8632 = -n*q + 3*q + 2*l, -l - 2877 = -q. Is q composite? True Let u(i) = 20*i - 6. Let f be u(-6). Is (-1)/((12/(-4))/3) - f prime? True Let a(k) be the third derivative of 2*k**2 + 1/40*k**6 - 1/15*k**5 + 0 + 5/24*k**4 - 1/2*k**3 + 0*k. Is a(4) composite? True Suppose 3*o + 152 = 5*g, g + g - o = 61. Suppose u = 3*t + 2*u + 25, u - g = 5*t. Let d(z) = -9*z + 16. Is d(t) composite? False Let p = -22803 + 41906. Is p composite? True Let q(i) = 138*i**3 + 3*i**2 - 21*i + 47. Is q(4) composite? True Suppose 2*b - 769 = -5*l, 0*b - 2*b + 2*l + 790 = 0. Is b - 1 - 0/(-3) a prime number? False Let y(f) be the third derivative of -f**6/120 - 11*f**5/60 - 11*f**4/24 + 3*f**3/2 + 10*f**2. Let a be y(-10). Suppose -12*s - a = -13*s. Is s composite? False Suppose -3 = -r, -2*v + 3*r = 3*v + 9. Suppose 4*p - 8 = v, p = -5*q - 0 + 7. Is q/4 - 1683/(-36) a prime number? True Let p(u) = -u**2 + 4*u - 4. Let g be p(2). Suppose -1 = -f - g*f, f - 1683 = -2*b. Is b composite? True Let k(s) be the first derivative of -s**7/840 - s**6/360 + 7*s**5/120 + 5*s**4/24 + 2*s**3/3 - 2. Let t(j) be the third derivative of k(j). Is t(-8) prime? True Let v(l) = 10*l**2 + 47*l + 491. Is v(-12) prime? True Let c(x) = 150*x**2 - 5*x - 3. Is c(-4) composite? False Suppose 2*f + 19142 = 4*u, 17*u = 14*u - f + 14344. Is u prime? True Let x = -15 - 9. Let s be 66/16 + 3/x. Suppose p = 2*c + 50, -6*c = -s*p - 2*c + 192. Is p prime? False Suppose -3*p = -7*p. Suppose p = c + 3*c - 8. Suppose -c*s - s + 3*k = -366, -4*k = -s + 131. Is s composite? True Let n(v) = -11*v**2 - 9*v + 13. Let j(w) = -w**2. Let u(s) = 6*j(s) - n(s). Is u(-14) a prime number? False Let w = 53 + -25. Let r = 57 - w. Let u = 76 - r. Is u prime? True Let c(m) = 86*m**2 - 5*m - 4. Suppose 3*j + 14 = 11. Is c(j) composite? True Suppose 201*q - 189*q = 107292. Is q a composite number? False Is (-2)/16 - (127048/(-64) + 18) composite? True Let m(q) = 12*q**2 + 19*q - 1. Let g(x) = 4*x**2 + 6*x. Let k(a) = -8*g(a) + 3*m(a). Let o(l) = -l**3 + 6*l**2 + 7*l + 5. Let p be o(7). Is k(p) a prime number? False Let x(t) = 29 - 18*t - 5 - 10. Is x(-10) composite? True Let c be (0 + -4)*2/(-4). Suppose 4*p + 672 = c*k + 2*p, 0 = -2*k - p + 675. Is k a composite number? False Let l be (-2 + 1)*-1 - 4. Let g be 56/20*((-15)/(-2))/3. Is g*47/l*-3 a prime number? False Let g = -11262 - -19339. Is g a prime number? False Let h(g) be the first derivative of g**5/3 + g**4/24 + g**2/2 + 4. Let w(b) be the second derivative of h(b). Is w(-1) composite? False Let n(f) = -f**2 + 4*f. Let o be n(3). Let y be 2 - (63/o)/(-3). Suppose -253 = -4*x + 5*j, 5*j + y = 24. Is x prime? True Let l = -1 + -8. Let h be (-70)/l - (-12)/54. Is 59 - (-1 + h/(-4)) composite? True Suppose 6*t - 3*t - 285 = 0. Suppose -l = 3*m - t - 20, -2*l + 8 = 0. Is m composite? False Let g(j) = -81*j + 3. Let c be g(-4). Suppose 16*n - 14*n - 4 = 0. Suppose 0 = -n*s - s + c. Is s composite? False Let q(d) = d - 13. Let j be q(10). Let v be (0 - 2) + -277 - j. Is ((-14)/(-6))/((-4)/v) a composite number? True Suppose x + 28 = 3*y, -x + 4*y = 2*x + 79. Let u = x + 37. Is 3939/u + (-12)/(-16) a prime number? False Suppose -4*s - 16 = -8*s. Suppose -s*n + 49 = 337. Let a = 161 + n. Is a prime? True Let i(f) = 5*f**2 - 3*f + 1. Let y(j) = 5*j**2 - 4*j. Let r be (-36)/8 - (-3)/(-6). Let x(l) = r*y(l) + 6*i(l). Is x(-5) a composite number? True Suppose 966 - 4342 = -4*v. Suppose 45*f = 41*f + v. Is f prime? True Let y(v) = 1541*v + 461. Is y(6) prime? False Let u(v) = -v**2 + 6*v. Let p be u(6). Suppose 3*q - l = 3, -q = l - p - 5. Is (70/49)/(q/14) composite? True Let i(c) = 2*c**2 + 8*c + 3. Let n be i(-4). Suppose -n*p + 4*t + 1355 = 0, 8*p - 5*p - t - 1358 = 0. Is p prime? False Is -8*(-18)/(-24) + 153997 a composite number? False Let f(s) = s + 7. Let y be f(-4). Suppose 4*c - 33 = c - 3*h, -y*c + 38 = 4*h. Suppose -a = -c*a + 290. Is a prime? False Suppose -9 = -3*x, -a + 8*x - 10*x + 26141 = 0. Is a composite? True Let q(n) = 170*n**2 - 30*n + 217. Is q(6) composite? True Is 1*7/(-1) + 548 a composite number? False Suppose -3*s = 2*s - 65. Suppose -4*u - s = -77. Is ((-440)/u)/(2/(-4)) a prime number? False Let d(x) = 3*x**2 + 9*x + 13. Let y be d(-11). Let g = y + -150. Is g composite? False Let x(y) = -y + 6. Let g be x(6). Let j(f) = f + 1. Let p be j(g). Is (-1)/(p*(-1)/119) a composite number? True Let c be (1 - 91*2)/(-1). Let z(n) = 17*n - 166. Let b be z(10). Suppose -b*m = m + 5*q - 430, 2*m - q = c. Is m a prime number? True Suppose 3*c + 3 = h + 23, -5*h - 40 = -3*c. Suppose -1 - 9 = -2*u + c*t, -5*t = -4*u + 10. Suppose 6*j - 348 = -u*j. Is j a prime number? False Let l(f) = 2*f + 8. Let v be l(-5). Is 3 - (0 + 80)*v a prime number? True Let a = 12815 + -1945. Suppose -18*f + 8*f = -a. Is f a prime number? True Let g = 1648 - 980. Suppose 4*b + 2122 = 2*v, 0 = -2*v - b - 522 + 2654. Let m = v - g. Is m a composite number? False Let i(z) = z**3 + 35*z**2 - 76*z - 37. Is i(-31) a prime number? True Let z = -6 - -10. Suppose 4*m - 1 = -5*v, 0*v + 39 = -z*m + 3*v. Let i(r) = -69*r - 5. Is i(m) a composite number? False Let y(o) = 227*o - 12. Let n be y(9). Suppose 0 = 3*q - 0*q - n. Is q a prime number? True Let m(o) = o**3 + 6*o**2 - 8*o - 2. Let l be m(-7). Suppose 339 = 2*z + 2*p + 3*p, -5*z - l*p = -870. Is z a prime number? False Suppose -2*r + 12187 + 20415 = 0. Is r a prime number? True Suppose -5*m - 8159 = -d, -2*d = 3*m - 4*m - 16318. Is d composite? True Let d be (-11)/9 + (-6)/(-27) - -12. Suppose -10*p + d*p - 1507 = 0. Is p a composite number? True Let t(n) = 216*n**2 - 21*n - 11. Is t(-6) prime? False Let y(q) = -13*q - 1. Let a(w) be the second derivative of 7*w**3/3 + 4*w. Let x(m
{ "pile_set_name": "DM Mathematics" }
1376723038 a prime number? False Is 19851788443 composite? False Is 1284692611 composite? True Is 1252473389 prime? False Is 10324338241 prime? False Is 37593287 a prime number? True Is 1257117199 prime? False Is 4517441033 a prime number? False Is 149403507703 a prime number? True Is 68139614041 composite? True Is 349724847 composite? True Is 309935407409 prime? True Is 1975181279 composite? False Is 26792364281 composite? True Is 3985553323 a composite number? False Is 889132921 composite? False Is 463328707 a composite number? False Is 11953498321 composite? False Is 212009719 prime? True Is 30853416091 prime? True Is 5224408571 a composite number? False Is 14538119621 prime? True Is 23293753537 composite? False Is 36575531843 a composite number? True Is 6865999223 a composite number? False Is 1051190779 prime? True Is 3655767343 a composite number? False Is 188084513 a prime number? False Is 19892792017 a prime number? False Is 137817143 composite? True Is 448701645781 a composite number? False Is 17199246451 a composite number? True Is 19108193729 composite? False Is 111391010389 composite? True Is 218650363 prime? True Is 79534428983 prime? True Is 9167336137 composite? False Is 15592100239 a prime number? False Is 367069663 a prime number? True Is 88953041011 prime? True Is 1819186087 a prime number? True Is 1809956389 composite? False Is 27828679 composite? False Is 1308977447 a composite number? True Is 4158395261 a composite number? True Is 4166341057 a composite number? True Is 29709447113 a composite number? False Is 4665584081 a composite number? False Is 640277147 a composite number? False Is 17280699047 a composite number? False Is 343765969 a prime number? True Is 4397474111 composite? False Is 2915216851 composite? True Is 8367121597 a composite number? True Is 1577545001 a prime number? True Is 169125040715 prime? False Is 1541899237 a composite number? False Is 587838887 prime? False Is 1619865913 a composite number? False Is 133915999153 a composite number? False Is 3813148243 prime? False Is 198801487 prime? False Is 15450428627 composite? False Is 285556379 prime? True Is 1273993471 prime? False Is 1372702027 composite? False Is 329378599219 a prime number? True Is 2818681499 composite? False Is 85524684541 a prime number? True Is 2371808585 prime? False Is 49450782763 a prime number? False Is 12726296327 prime? True Is 26746779467 prime? True Is 470657171 prime? True Is 247961785243 composite? False Is 2718037787 a prime number? True Is 33609503 prime? False Is 8461995799 composite? True Is 87515874001 prime? False Is 959125819 prime? True Is 1478309321 a composite number? False Is 810452593 a prime number? True Is 1427306363 a prime number? False Is 201613537 a prime number? False Is 10250838119 a prime number? True Is 1174738463 a composite number? True Is 1261562347 prime? False Is 4293517587 a prime number? False Is 138537956443 a composite number? False Is 52101738599 a prime number? True Is 7794777439 composite? False Is 3738735251 a prime number? False Is 72618129127 a composite number? False Is 5076234701 a prime number? True Is 112467651853 composite? True Is 2904827846 composite? True Is 58070608991 a composite number? False Is 228781516349 a composite number? True Is 6818671897 a prime number? True Is 1764331287 prime? False Is 29026317431 prime? True Is 14244902827 a composite number? True Is 8189308573 a prime number? False Is 79972292489 a composite number? True Is 93846270307 a prime number? True Is 21958300907 a prime number? True Is 80211034221 prime? False Is 5846807069 composite? True Is 6598481 a prime number? True Is 1446867143 composite? True Is 152181049 a prime number? False Is 4038253841 a prime number? True Is 72105733771 a prime number? True Is 41900131607 a prime number? True Is 1125032609 composite? False Is 443162767 prime? True Is 1310562859 a composite number? False Is 23015873873 a prime number? False Is 13457697391 a prime number? False Is 466149769 a prime number? False Is 101337371339 a prime number? True Is 7892010353 a prime number? True Is 701786699 prime? True Is 1723006367 composite? False Is 6985132799 prime? True Is 820319854 prime? False Is 1281325169 a prime number? False Is 9302459 composite? False Is 859114671 a composite number? True Is 352185373 prime? True Is 5238206819 prime? True Is 858105679 a composite number? True Is 388115743 composite? True Is 8149031213 a prime number? True Is 2778683255 composite? True Is 114685149763 composite? True Is 11274670843 composite? True Is 534195703 prime? True Is 696157233 a composite number? True Is 1745486059 a composite number? True Is 22568621219 a composite number? False Is 592830877 a composite number? False Is 1122617711 a prime number? True Is 96992967651 a composite number? True Is 28987966803 prime? False Is 584460523 a composite number? False Is 62391940903 prime? True Is 1455916897 prime? True Is 18519765819 a prime number? False Is 2260302007 composite? False Is 18051829403 composite? True Is 90690403253 composite? True Is 8031130231 prime? False Is 51499786211 composite? False Is 2376793603 a composite number? False Is 4134685879 a composite number? True Is 8887770247 a prime number? False Is 503666603 a prime number? False Is 141584683 prime? True Is 2185235977 composite? False Is 8508067259 prime? True Is 14862721 prime? True Is 36847409 a composite number? False Is 50190841847 composite? True Is 55141747 a composite number? False Is 60673446169 a composite number? True Is 7040153 composite? True Is 6717835 composite? True Is 43725121373 prime? True Is 14551832767 composite? False Is 715748207 a prime number? False Is 29737667779 prime? False Is 144731381 composite? True Is 387759929 composite? True Is 5287594651 composite? False Is 658889089 composite? True Is 755273459 a prime number? True Is 1220208151 composite? False Is 148129594799 prime? True Is 4535994691 a composite number? True Is 6045358105 a composite number? True Is 3164721059 prime? True Is 4219026199 prime? True Is 167118931 prime? False Is 624805631 a composite number? True Is 23868689021 prime? False Is 364721473 a composite number? True Is 2934594989 prime? False Is 1459545547 prime? True Is 758610067 prime? True Is 20211281071 prime? False Is 2783393161 composite? False Is 14800141511 a prime number? True Is 4551765469 a composite number? False Is 2551107693 prime? False Is 209336587 prime? False Is 904420841 prime? True Is 623466281 a composite number? False Is 35328569077 composite? True Is 400619183 a prime number? True Is 10899109537 a composite number? False Is 2199247123 a prime number? True Is 1611854807 a composite number? True Is 5180709595 prime? False Is 20043159043 prime? False Is 1332073 prime? False Is 567903943 a prime number? True Is 30461331421 composite? True Is 3658564343 prime? False Is 41538869 a prime number? True Is 4767185749 composite? False Is 161619943 composite? False Is 3885724861 composite? False Is 397923683 composite? False Is 1858193591 a prime number? True Is 80468551 a prime number? True Is 40765461887 composite? False Is 4217840279 composite? False Is 393415507 prime? False Is 27724470283 a composite number? False Is 5378903923 a composite number? False Is 369616787491 a composite number? True Is 5830619155 prime? False Is 181393855583 a composite number? True Is 181515217 composite? True Is 930450883 composite? False Is 3188533939 prime? True Is 9892996939 a composite number? True Is 2926969583 composite? False Is 60146342279 a prime number? False Is 17781685351 composite? False Is 1637372377 a prime number? True Is 2069969129 a prime number? False Is 786603911 a composite number? False Is 130979081 a composite number? False Is 3701963399 prime? True Is 4806425773 composite? False Is 33731699681 a prime number? True Is 17173167467 composite? False Is 302379401 a composite number? False Is 2329570363 a composite number? True Is 88286501 a prime number? True Is 294064741 a prime number? True Is 122997102307 a prime number? True Is 9176953441 composite? False Is 2074056731 prime? True Is 47154951749 prime? True Is 36695339095 a prime number? False Is 316548887 a prime number? True Is 214559429863 a prime number
{ "pile_set_name": "DM Mathematics" }
e. w**17 Simplify (f**(8/3)*f)/f**(-4/5)*(f*f**(2/5))**(-4) assuming f is positive. f**(-17/15) Simplify (a**(1/4))**(9/11)*(a*a*a**(1/4))/a**5 assuming a is positive. a**(-28/11) Simplify t**(4/15)*t*t**(-5/7) assuming t is positive. t**(58/105) Simplify ((j/j**5*j*j)/(j**7/j*j))**(1/41) assuming j is positive. j**(-9/41) Simplify (m/((m*m*m**31/m)/m))/m*m*m*m**15 assuming m is positive. m**(-14) Simplify (g**4/(g*g**(-6)/g))**(-14) assuming g is positive. g**(-140) Simplify (n**(1/4)*(n**(-1/3)/n)/n)/(n*(n**(-3)*n)/n*n/(n/n**(-4))) assuming n is positive. n**(47/12) Simplify (c**(-1/4))**(2/51) assuming c is positive. c**(-1/102) Simplify ((g*((g*g**(-2))/g)/g)**39)**(12/11) assuming g is positive. g**(-936/11) Simplify c/((c**(-11)/c)/c)*c*c**(14/9) assuming c is positive. c**(149/9) Simplify (t**17)**22 assuming t is positive. t**374 Simplify ((p/(p*p**(-4)))/p)/(p/p**12) assuming p is positive. p**14 Simplify p**(1/52)/p*p**(-27) assuming p is positive. p**(-1455/52) Simplify (y**(-3/5))**(1/19) assuming y is positive. y**(-3/95) Simplify t**(-11)*t*t**6 assuming t is positive. t**(-4) Simplify ((w*w*w/(w/(((w/(w/w**(-1)))/w)/w)))/w**(4/3))/(((w**(2/3)/w)/w)/(w/(w**(-1/7)/w))) assuming w is positive. w**(8/7) Simplify (u/(u**1/u))**14/(((u**1*u)/u*u)/((u/u**0)/u)) assuming u is positive. u**12 Simplify z*z/z**(-1)*z*z*z/z**(-1/6)*(z**(3/5))**39 assuming z is positive. z**(887/30) Simplify (r/r**(2/49))/(r*r*r/r**(-12)*r*r) assuming r is positive. r**(-786/49) Simplify j**(-2/33)/j**13 assuming j is positive. j**(-431/33) Simplify ((l*(l*l/l**(2/91))/l*l)/l)/(l*l*l/l**(-1/7)*l) assuming l is positive. l**(-197/91) Simplify (k**4*k**(-1/6))/(k**(-1/2)/(k*k/(k**(3/2)*k))) assuming k is positive. k**(23/6) Simplify ((i/i**5)/i*i)/(i/(i*i**(8/5))) assuming i is positive. i**(-12/5) Simplify o**(4/13)*(o/o**(2/11))/o assuming o is positive. o**(18/143) Simplify ((n*n*n**(-2/41))/(n**(1/11)/n))**48 assuming n is positive. n**(61920/451) Simplify (d**(-1))**(-2/55)*(d**(-2)/d)/d**6 assuming d is positive. d**(-493/55) Simplify z/(z/z**(-13)*z)*z**(-5/6) assuming z is positive. z**(-89/6) Simplify y**10/y*y/y**(1/4)*y**(-5/4)/y**(-3/4) assuming y is positive. y**(37/4) Simplify m**(-1/4)/((((m/(m/m**12))/m)/m)/m) assuming m is positive. m**(-37/4) Simplify (q*q/q**(-3/5)*q*q**(5/4))/((q/q**(-2)*q)/q*q/(q/((q*q**(-10)/q)/q))) assuming q is positive. q**(257/20) Simplify (y*y/y**(1/4))/(y/(y/(y*(y/(y*(y/(y**(-4/11)/y*y)*y)/y))/y*y)*y)) assuming y is positive. y**(137/44) Simplify (h*h/((h/(h*h**(-3)*h*h))/h)*h/h**(-1))**34 assuming h is positive. h**136 Simplify (i**0)**(12/5)/(i**4*i/i**6) assuming i is positive. i Simplify (d**17/d*d)/(d/(d**(3/7)/d*d)*d) assuming d is positive. d**(108/7) Simplify (n*n/(n**(-21)*n*n))/(n**(-2/55)*n) assuming n is positive. n**(1102/55) Simplify (u/u**7)/u*u/(u**5/u) assuming u is positive. u**(-10) Simplify (u/(u**(1/11)/u))**(-5) assuming u is positive. u**(-105/11) Simplify (x**(-5)*x**(3/4))/(x**1/(x*x**(-3/2))) assuming x is positive. x**(-23/4) Simplify (m*m**(2/7)*m**1)/((m/m**0)/(m**(3/8)*m)) assuming m is positive. m**(149/56) Simplify g**(-1/5)/(g/(g/(g/g**(-2))))*g**(-1/2)*g*g*g*g/g**(-5)*g*g*g*g*g*g assuming g is positive. g**(113/10) Simplify (m/(m**(-8)*m))**(1/5) assuming m is positive. m**(8/5) Simplify ((d*d**(1/4)*d)/d)**(3/8)*(d**(5/2)*d)/d**7 assuming d is positive. d**(-97/32) Simplify (m/(m*m/(m**(7/4)*m)))/m**31 assuming m is positive. m**(-117/4) Simplify l*l**(1/5)*l/(l*l**13*l)*l assuming l is positive. l**(-59/5) Simplify (z/z**(3/2)*z*z/z**(-6))**(-5/11) assuming z is positive. z**(-75/22) Simplify (c**9/c**(3/2))/(c/c**0)**(3/26) assuming c is positive. c**(96/13) Simplify (z/z**1)**(-1/2)/(z*z/(z/z**(-1)))**6 assuming z is positive. 1 Simplify ((g/(g/g**0)*g)/g)**(-36)/((g**6*g)/g*g*(g*g**6)/g*g*g) assuming g is positive. g**(-15) Simplify h**(-3/7)*h/(h**(12/7)*h) assuming h is positive. h**(-15/7) Simplify a**(-7/2)*a**33 assuming a is positive. a**(59/2) Simplify (x*x**(1/4))**(-8/17)/((x/x**3)/(x*x**(1/5))) assuming x is positive. x**(222/85) Simplify (f**2*f)/f*f**(2/5)*((f*f/(f/(f*f/(f/(f*(f/(f*f**(-1/8)*f))/f))))*f)/f)/f**(-3/7) assuming f is positive. f**(1107/280) Simplify w/w**(-5)*w**(-5/7) assuming w is positive. w**(37/7) Simplify ((p**(-3/13)*p)/p*p/p**(2/23))/((p*p**5*p)/p*p**(1/3)/p) assuming p is positive. p**(-4172/897) Simplify (j*j/j**(-6/7)*j*j*j*j)**(-6/29) assuming j is positive. j**(-288/203) Simplify (i*i*(i/i**10*i)/i*i)**26 assuming i is positive. i**(-156) Simplify j/j**6*j*j*j/((j**(-5/2)/j)/j)*(j**(-1))**(-50) assuming j is positive. j**(105/2) Simplify (y*y**(-1))/(y*y/(y/y**7*y))*y**(2/13)*y**(2/7) assuming y is positive. y**(-597/91) Simplify (p**(2/3)/((p**(-7)*p*p)/p))/(p**(-1)/(p*p**3)) assuming p is positive. p**(35/3) Simplify (((r*r*r/r**0*r*r*r*r*r)/r)/r)**(-19/4)/(r**(2/7))**13 assuming r is positive. r**(-451/14) Simplify (a/(a**(-2/5)/a)*a*(a*a/(a**(-3/5)/a*a)*a)/a)**(-3/8) assuming a is positive. a**(-9/4) Simplify (((g/g**(-2/9))/g)/(g*(g/(((g/g**6)/g)/g)*g*g*g)/g))/(g**(-3/8)*g*g/((g**(-3/11)/g)/g*g*g)) assuming g is positive. g**(-10039/792) Simplify ((u*u*u/(u*u/(u/(u/(u**13/u))))*u*u)/u)**(-23) assuming u is positive. u**(-322) Simplify ((r/(r*r/(r**(1/6)*r)))/r**(-2/11))/(r**5*((r**(-5)*r)/r)/r) assuming r is positive. r**(89/66) Simplify ((s*s**0*s)/s)/s**(-3/7)*s**5*s*s**(-2/25) assuming s is positive. s**(1286/175) Simplify (c**11*c)/(c/((c*c*c*c**(5/12))/c*c)) assuming c is positive. c**(173/12) Simplify (u**(-1)*((u/(u**4/u))/u)/u)/(u/(u*u**0))**(2/57) assuming u is positive. u**(-5) Simplify (j**5/j)/(j*j*j/j**(10/13)) assuming j is positive. j**(23/13) Simplify z**(-1/15)*z**(1/3) assuming z is positive. z**(4/15) Simplify w**(-2/5)/w**(-7/5) assuming w is positive. w Simplify m*m**(-16)*m/m**5*m assuming m is positive. m**(-18) Simplify (c*c**(-1/4)/c*c**3*c)/(c*c/c**(4/5)*c*(c*c**(-9)*c)/c) assuming c is positive. c**(191/20) Simplify (d/d**(-8)*(d**(-4)/d)/d*d)**44 assuming d is positive. d**176 Simplify (o/(o/(o/o**(-4/9)*o)))/(o**(2/5)*o) assuming o is positive. o**(47/45) Simplify ((a**(-1/2)/a)/a)**(-24)/(a*a**2/a)**(1/31) assuming a is positive. a**(1858/31) Simplify ((b*b*b*b**(4/9))/((b/b**(-3/2)*b)/b))**(-48) assuming b is positive. b**(-136/3) Simplify (u**(-10)*u)**(-1/6) assuming u is positive. u**(3/2) Simplify (g*g**(-7)/g*g**5)/(g**0)**7 assuming g is positive. g**(-2) Simplify (j**0)**(-29) assuming j is positive. 1 Simplify (c/(c*c/(c/(c/c**(-6))*c)))**(3/7) assuming c is positive. c**(-18/7) Simplify ((z*z*z**(-2/3)*z)**(7/3))**(-12/5) assuming z is positive. z**(-196/15) Simplify (f*f/(f*f**9))**(2/7) assuming f is positive. f**(-16/7) Simplify v**(-4)*v*v**(3/5)*v**2*v**(-2/7) assuming v is positive. v**(-24/35) Simplify z*z*z**(-2)*z*z**13 assuming z is positive. z**14 Simplify (v**(2/13)/v)**(-47) assuming v is positive. v**(517/13) Simplify (a/(a/((a/a**(-4))/a)))**(19/5) assuming a is positive. a**(76/5) Simplify ((v*v**(-3/7))/v*v*v*v/v**5)**38 assuming v is positive. v**(-646/7) Simplify x**24/x**(-25) assuming x is positive. x**49 Simplify (((t**(-1)/t)/t*t)/t**(1/3))/(t/(t/(t/(t/t**(-1)))*t))**19 assuming t is positive. t**(107/3) Simplify w/(w**22/w)*w/(w/(w**(-15)/w))*w assuming w is positive. w**(-35) Simplify (v/(v*v**(-1)/v))**(5/2)*v/(((v**(-2/25)/v*v)/v)/v*v)*v/v**(1/4) assuming v is positive. v**(783/100) Simplify (n**(2/9))**(-31) assuming n is positive. n**(-62/9) Simplify (y**(5/11))**28 assuming y is positive. y**(140/11) Simplify d**(-2/19)*d**(-3)*(d*d**2)**(-17) assuming d is positive. d**(-1028/19) Simplify ((l/(l/(l/((((((l/(l*(l/(l**(-2)*l))/l*l*l))/l)/l)/l)/l)/l))))/l**(-3))/(l*l**(-2/5))**(2/15) assuming l is positive. l**(298/25) Simplify (v*v**(-5/3))/(v/(v**(-1)*v*v))*v**(-1/5)/(v/v**4) assuming v is positive. v**(32/15) Simplify (n/n**(3/5))**(15/8)/(n/(n/n**7*n)*n**5*n) assuming n is positive. n**(-45/4) Simplify n**(-12/7)/(n/n**27) assuming n is positive. n**(170/7) Simplify (k/(k/(k**8*k*k)))/(k**(-1)/k)*k*k**(1/9)*(k/k**(-2/5)*k)/k assuming k is positive. k**(653/45) Simplify (h**(4/7)*h)/(h/h**10*h) assuming h is positive. h**(67/7) Simplify ((w*w**(-5))/(((w/w**5)
{ "pile_set_name": "DM Mathematics" }
to the power of 1/3, to the nearest integer? 1395 What is 95243336 to the power of 1/2, to the nearest integer? 9759 What is the seventh root of 88538076 to the nearest integer? 14 What is 8834119363 to the power of 1/2, to the nearest integer? 93990 What is 73869059 to the power of 1/2, to the nearest integer? 8595 What is the eighth root of 268653494 to the nearest integer? 11 What is the ninth root of 5264719259 to the nearest integer? 12 What is 8909820165 to the power of 1/4, to the nearest integer? 307 What is the third root of 16190517 to the nearest integer? 253 What is 47800392 to the power of 1/9, to the nearest integer? 7 What is the ninth root of 198569447 to the nearest integer? 8 What is 6510687518 to the power of 1/3, to the nearest integer? 1867 What is 417404850 to the power of 1/2, to the nearest integer? 20430 What is 1765583267 to the power of 1/2, to the nearest integer? 42019 What is the square root of 4358674 to the nearest integer? 2088 What is 397007486 to the power of 1/4, to the nearest integer? 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28793 What is 126307213 to the power of 1/3, to the nearest integer? 502 What is the square root of 114925105 to the nearest integer? 10720 What is 744869627 to the power of 1/8, to the nearest integer? 13 What is 163727253 to the power of 1/2, to the nearest integer? 12796 What is 20285020 to the power of 1/2, to the nearest integer? 4504 What is the third root of 1166234464 to the nearest integer? 1053 What is the square root of 361610493 to the nearest integer? 19016 What is the seventh root of 6148424 to the nearest integer? 9 What is the ninth root of 1411328990 to the nearest integer? 10 What is 1632414560 to the power of 1/8, to the nearest integer? 14 What is the square root of 5296600 to the nearest integer? 2301 What is 616061937 to the power of 1/8, to the nearest integer? 13 What is 189385849 to the power of 1/2, to the nearest integer? 13762 What is the square root of 1466222899 to the nearest integer? 38291 What is the square root of 274275403 to the nearest integer? 16561 What is the square root of 402151885 to the nearest integer? 20054 What is 826582975 to the power of 1/2, to the nearest integer? 28750 What is the square root of 871901388 to the nearest integer? 29528 What is 1710690821 to the power of 1/5, to the nearest integer? 70 What is the square root of 199709233 to the nearest integer? 14132 What is 19078348 to the power of 1/3, to the nearest integer? 267 What is the fifth root of 44836834 to the nearest integer? 34 What is the fifth root of 87735487 to the nearest integer? 39 What is the eighth root of 444791310 to the nearest integer? 12 What is the third root of 7152991 to the nearest integer? 193 What is the square root of 5342769 to the nearest integer? 2311 What is the cube root of 38081136 to the nearest integer? 336 What is the cube root of 686219569 to the nearest integer? 882 What is the third root of 54632895 to the nearest integer? 379 What is 368041708 to the power of 1/7, to the nearest integer? 17 What is 190357035 to the power of 1/2, to the nearest integer? 13797 What is 1112967736 to the power of 1/10, to the nearest integer? 8 What is the third root of 131387617 to the nearest integer? 508 What is the ninth root of 149524314 to the nearest integer? 8 What is the eighth root of 356183964 to the nearest integer? 12 What is the tenth root of 60964855 to the nearest integer? 6 What is the cube root of 493352587 to the nearest integer? 790 What is 801222895 to the power of 1/8, to the nearest integer? 13 What is the third root of 332815543 to the nearest integer? 693 What is the ninth root of 757173784 to the nearest integer? 10 What is 5528173549 to the power of 1/6, to the nearest integer? 42 What is 2369837886 to the power of 1/3, to the nearest integer? 1333 What is 1915774635 to the power of 1/3, to the nearest integer? 1242 What is 57111210 to the power of 1/2, to the nearest integer? 7557 What is the cube root of 53399394 to the nearest integer? 377 What is the eighth root of 121196257 to the nearest integer? 10 What is 1932983055 to the power of 1/3, to the nearest integer? 1246 What is the square root of 30009730 to the nearest integer? 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23055 What is the seventh root of 1776410743 to the nearest integer? 21 What is 70958950 to the power of 1/2, to the nearest integer? 8424 What is the eighth root of 841799393 to the nearest integer? 13 What is 12793063 to the power of 1/6, to the nearest integer? 15 What is the ninth root of 1161095035 to the nearest integer? 10 What is 6337554309 to the power of 1/2, to the nearest integer? 79609 What is the eighth root of 1943330196 to the nearest integer? 14 What is the seventh root of 184272260 to the nearest integer? 15 What is 105808870 to the power of 1/8, to the nearest integer? 10 What is 1061519460 to the power of 1/2, to the nearest integer? 32581 What is 161463801 to the power of 1/10, to the nearest integer? 7 What is 229765 to the power of 1/2, to the nearest integer? 479 What is the square root of 77612343 to the nearest intege
{ "pile_set_name": "DM Mathematics" }
/5 - 457*x**4/3 + 304*x**3 - 288*x**2 + 181*x. Solve s(w) = 0. 3/4, 4 Let k(s) be the first derivative of 2*s**5/45 - 5*s**4/18 + 14*s**3/27 - s**2/3 - 31. Find m, given that k(m) = 0. 0, 1, 3 Let x(t) be the first derivative of 10/3*t**3 - 18*t - 34 + 12*t**2. Find w such that x(w) = 0. -3, 3/5 Let g(k) be the first derivative of -3*k**5/5 + 33*k**3 + 42*k**2 - 180*k + 324. Let g(w) = 0. What is w? -5, -2, 1, 6 Factor 24*b - 48 - 18*b**2 + 34*b**2 - 19*b**2. -3*(b - 4)**2 Let w(o) be the second derivative of o**2 - 5/6*o**3 - 11*o - 1/20*o**5 + 1/3*o**4 + 0. Suppose w(u) = 0. Calculate u. 1, 2 Let d(j) = -2*j**3 + 2*j**2 + 6*j + 2. Let q(m) = m**2 - 1. Let w(i) = 3*d(i) - 6*q(i). Let o(x) = 9*x**3 - 27*x - 18. Let b(h) = -5*o(h) - 7*w(h). Factor b(u). -3*(u - 2)*(u + 1)**2 Factor 192*h**3 + 197*h**3 - 4*h**4 - 535*h**3 - 48*h**2 + 170*h**3 + h**4. -3*h**2*(h - 4)**2 Let a(m) be the second derivative of 19*m**3 + 37/4*m**4 + 0 + 12*m**2 + 31*m + 21/20*m**5. Find w, given that a(w) = 0. -4, -1, -2/7 Let u(s) = -2*s**2 - 14*s - 1. Let a be u(-7). Let c be ((-52)/(-715) + 1 + a)*5. Solve 8/11*p**2 + 0 + 16/11*p - c*p**3 - 2/11*p**4 = 0 for p. -2, 0, 2 Suppose h = 0, 4*l - 120 = -2*h + h. Let s be 40/42 - (l/9)/5. Find b such that -2/7*b**2 + 0*b + s = 0. -1, 1 Suppose 5*r = 6*i - 2*i + 30, 24 = 4*r - 4*i. Factor -20*m - 26*m**4 - m**2 + r*m**2 + 21*m**4 + 20*m**3. -5*m*(m - 4)*(m - 1)*(m + 1) Let m(r) = -8*r**4 - 24*r**3 + 32*r + 6. Let d(z) = 9*z**4 + 25*z**3 - 2*z**2 - 32*z - 7. Let g(s) = 6*d(s) + 7*m(s). Factor g(h). -2*h*(h - 1)*(h + 2)*(h + 8) Let g(a) be the first derivative of -4 - 2/9*a**3 + 4*a**2 - 24*a. What is i in g(i) = 0? 6 Suppose 2*q - 4*i = 36, 30*q - 134 = -9*i + 11*i. Factor -18*h**3 + 4/3 - 18*h**q - 34/3*h + 30*h**2. -2*(h + 2)*(3*h - 1)**3/3 Let s(m) be the first derivative of 1/9*m**2 + 1 + 0*m - 2/27*m**3. Factor s(j). -2*j*(j - 1)/9 Solve 95*m**5 + 570*m - 28*m**5 + 343*m**2 - 35*m**3 - 95*m**4 + 292*m**2 - 62*m**5 = 0. -2, -1, 0, 3, 19 Let d(s) = 3*s**3 + 12*s**2 + 6*s. Let w(q) = 2*q**3 + 12*q**2 + 5*q. Suppose 4*r - 12 = 6*r. Let n(v) = r*w(v) + 5*d(v). Factor n(t). 3*t**2*(t - 4) Let -28/3*a**2 + 8/3*a**4 - 16/3 + 40/3*a - 2/3*a**5 - 2/3*a**3 = 0. What is a? -2, 1, 2 Let s(y) be the first derivative of 18*y**3/5 + 9*y**2/2 + 6*y/5 + 209. Let s(u) = 0. Calculate u. -2/3, -1/6 Let n(s) be the third derivative of -1/210*s**7 + 0*s**3 + 0 - 3/20*s**5 + 1/20*s**6 - 5*s**2 + 0*s**4 + 0*s. Solve n(o) = 0. 0, 3 Let z(s) be the first derivative of -3*s**4/4 + 4*s**3 + 15*s**2/2 + 1. Factor z(h). -3*h*(h - 5)*(h + 1) Let a(v) be the third derivative of -v**8/616 + 17*v**7/1155 + 13*v**6/220 - 169*v**5/330 - 30*v**4/11 - 100*v**3/33 - 17*v**2. Solve a(w) = 0. -2, -1/3, 5 Let l(h) = -h**2 - 30*h - 53. Let n be l(-28). Let w(g) be the second derivative of 7/12*g**n + 5/24*g**4 + 3*g + 1/2*g**2 + 0. Suppose w(d) = 0. Calculate d. -1, -2/5 What is d in -4*d**3 - 4 + 15*d**2 - 8*d**2 + 10*d**2 + 32 - 60*d + 19*d**2 = 0? 1, 7 Let u(n) = -14*n**4 - 135*n**3 - 1292*n**2 - 1161*n + 5. Let a(r) = 8*r**4 + 67*r**3 + 646*r**2 + 581*r - 3. Let v(i) = -5*a(i) - 3*u(i). Factor v(k). 2*k*(k + 1)*(k + 17)**2 Let a be 32/2 + ((-5)/(-5))/(-1). Factor 17*h - h**2 + h**2 - 2*h**3 + h**4 - 1 - a*h. (h - 1)**3*(h + 1) Let v(l) = -l**4 + 70*l**3 - 324*l**2 + 570*l - 315. Let x(o) = -70*o**3 + 325*o**2 - 570*o + 315. Let u(m) = 5*v(m) + 4*x(m). Determine c so that u(c) = 0. 1, 3, 7 Let t(l) be the second derivative of -l**4/32 + 3*l**3/4 + 39*l**2/16 - l + 53. Find z such that t(z) = 0. -1, 13 Let b be (1/30)/((-74)/(-111)). Let f(d) be the third derivative of -8*d**3 + 0 - b*d**5 + d**4 + 0*d + 4*d**2. Factor f(k). -3*(k - 4)**2 Suppose -37*t - 2*i = -39*t + 4, -5*t + 3*i = -16. Let n(u) be the first derivative of u**3 + t + 0*u + 3/2*u**2. Factor n(r). 3*r*(r + 1) Find l such that -28*l**2 - 183*l + 8*l**4 + 0*l**4 - 2*l**5 - 12 + 217*l = 0. -2, 1, 3 Let d(g) be the second derivative of g**6/270 + g**5/270 - g**4/54 - g**3/27 - 33*g**2/2 - 33*g. Let o(h) be the first derivative of d(h). Factor o(n). 2*(n - 1)*(n + 1)*(2*n + 1)/9 Let k(j) = j**2 - 17*j - 8. Let w be k(20). Let v = 52 - w. Factor 3/5 + v*g**3 + 3/5*g**4 + 0*g - 6/5*g**2. 3*(g - 1)**2*(g + 1)**2/5 Let i(m) be the second derivative of -m**8/5880 - m**7/1470 - m**6/1260 - 2*m**3/3 - 7*m. Let h(d) be the second derivative of i(d). Let h(s) = 0. What is s? -1, 0 Let b = -9958 + 9960. Factor -3/5*w**4 + 0 - 1/5*w**b - 3/5*w**3 - 1/5*w**5 + 0*w. -w**2*(w + 1)**3/5 Let i be 66/(-54)*51 - (-4)/(-6). Let o = 68 + i. Factor 0 - 18/7*s**4 - 12/7*s - 39/7*s**3 - 3/7*s**o - 36/7*s**2. -3*s*(s + 1)**2*(s + 2)**2/7 Determine o, given that -o**2 + 9/8*o**3 + 0*o + 0 - 1/8*o**4 = 0. 0, 1, 8 Let a(r) be the second derivative of r**7/1470 - r**6/420 + r**5/420 + 2*r**2 + 5*r. Let u(s) be the first derivative of a(s). Solve u(h) = 0. 0, 1 Factor 1/2*r**2 + 31 - 63/2*r. (r - 62)*(r - 1)/2 Let i(t) be the first derivative of t**6/24 + t**5/4 + t**4/8 - 7*t**3/6 - 3*t**2/8 + 9*t/4 + 116. Suppose i(z) = 0. What is z? -3, -1, 1 Suppose 22 = 7*u + 1. Factor -10 + 106*z - 5*z**u + 10*z**2 - 207*z + 106*z. -5*(z - 2)*(z - 1)*(z + 1) Suppose -2*b + 21*b - 16 - 14*b**2 - 6*b**2 + 2*b**3 + 15*b = 0. What is b? 1, 8 Let n be (-8 - -3) + ((-30)/(-4) - 2). Find k, given that -n*k**2 - 25/2 + 5*k = 0. 5 Suppose -5*i = -3*s + 12 + 25, 15 = -3*i. Let l = s - -13. Factor 15 + 48*u**2 + 0*u**4 + l - 16*u**3 + 2*u**4 + 0*u**4 - 64*u. 2*(u - 2)**4 Let s(u) be the second derivative of 1/105*u**6 + 0 + 1/7*u**2 - 1/35*u**5 + 1/21*u**3 - 36*u + 1/147*u**7 - 1/21*u**4. Determine r, given that s(r) = 0. -1, 1 Let z be 1/(-2) + 13 + (-13404)/1080. Let n(m) be the first derivative of -1/18*m**4 - 7 + 0*m + 1/54*m**6 + 1/2*m**2 - z*m**5 + 4/9*m**3. Factor n(y). y*(y - 3)**2*(y + 1)**2/9 Let y be ((-2)/190*-5)/((-12)/(-120)). Solve 0 - y*w - 2/19*w**2 = 0. -5, 0 Let k(c) = -c**4 - 9*c**3 - 4*c**2 - c. Let v(a) = -a**4 - 5*a**3 - 2*a**2 - a. Suppose 4*u - 6 = -18. Let p(s) = u*k(s) + 5*v(s). Suppose p(g) = 0. What is g? -1, 0, 1 Let q be (-7)/196*14*(-4 - 0 - 0). Factor 0*v + 3/7*v**3 - 2/7*v**q + 0 - 1/7*v**4. -v**2*(v - 2)*(v - 1)/7 Let o(d) = d**2 - 4*d - 2. Let w(k) be the first derivative of 2*k**3/3 - 2*k**2 - k + 11. Let u(i) = -3*o(i) + 2*w(i). Factor u(b). (b + 2)**2 Determine h so that 0 + 1/4*h**2 - 3/4*h = 0. 0, 3 Factor 2/5*d - 2/5*d**4 - 6/5*d**2 + 0 + 6/5*d**3. -2*d*(d - 1)**3/5 Let n = -1466 + 13202/9. Find r such that 2/9*r**2 + 0 - n*r = 0. 0, 4 Let g = 33564 + -233073/7. Suppose -10800/7*w**3 - 1488/7*w + 144/7 + 8625/7*w**4 - g*w**5 + 840*w**2 = 0. Calculate w. 2/5, 3 Let f(a) be the second derivative of -5*a**2 - 5/6*a**3 - 1/3*a**6 + 5/3*a**4 + 0 - 5/42*a**7 - a + 1/2*a**5. Find q such that f(q) = 0. -2, -1, 1 Let t(f) = -2*f - 16. Suppose -4*y - 3*a = -3*y + 14, 5*a + 42 = -4*y. Let k be t(y). Factor 0 + 4/5*z**4 - 2/5*z + k*z**3 - 4/5*z**2 + 2/5*z**5. 2*z*(z - 1)*(z + 1)**3/5 Suppose b - a - 26 = -0*a, -40 = -2*b + 5*a. Determine y, given that -9*y + b*y**2 + 4 - 14*y**2 - 11*y = 0. 1/4, 1 Let b(d) be the second derivative of 0 + 3*d + 1/2*d**2 - 1/240*d**5 - 1/96*d**4 + 0*d**3. Let k(l) be the first derivative of b(l). Factor k(f). -f*(f + 1)/4 Let x(t) = -5*t**3 - 9*t**2 - 4*t. Suppose -5*m = -3*m + 4. Let z(i) = -i**3 + i. Let u(y) = m*z(y) + x(y). Solve u(q) = 0 for q. -2, -1, 0 Let w(a) be the second derivative of 1/55*a**5 - 1/22*a**3 - 8*a + 0*a**6 + 0 - 1/462*a**7 - 1/66*a**4 + 1/11*a**2. Find n such that w(n) = 0. -2, -1, 1 Let f = -74 - -66. Let l = 28/3 + f. Solve -2/3*j - l*j**3 - 1/3*j**4 + 0 - 5/3*j**2 = 0 for j. -2, -1, 0 Let u(t) = 5*t**4 - 3*t**3 + 4*t**2. Let p(m) = -m**4 - m**2 + m. Let q(i) = 12*p(i) + 3*u(i). Suppose q(d) = 0. Calculate d. -1, 0, 2 Factor 2*m**2 + 0 + 4*m - 1/2*m**5 - 5/2*m**4 - 3*m**3. -m*(m - 1)*(m + 2)**3/2 Let g(s) = -9*s - 153. Let k be g(-17). Suppose -a**3 - 1/2*a + k + 1/4*a**4 + 5/4*a**2 = 0. Calculate a. 0, 1, 2 Factor 9/4*o**2 + 27 - 27/2*o - 1/8*o**3. -(o - 6)**3/8 Factor -11*m - 393 + 393 + 2*m**4 - 13*m - 26*m**2. 2*m*(m - 4)*(m + 1)*(m + 3) Let a(c) = -1 + 21*c**2 - 2*c**3 + 24*c**2 - 13*c**3 - 17 - 12*c. Let v(b) = 30*b**3 - 89*b**2 + 24*b + 35. Let d(u)
{ "pile_set_name": "DM Mathematics" }
q + 4*k, -k = u*q + 1. Is q > 1? False Suppose m + 10 = 5*k, 0 = -0*m + m + 4*k - 8. Let b(o) = -2*o**2 + 5*o + 3. Let x be b(4). Let z(f) = f + 10. Let r be z(x). Are r and m nonequal? True Let z = -835 - -726. Which is smaller: z or -108? z Let y = -6 - -8. Let g be 1*-3*8/6. Let w be (1 + 15/(-6) - -1)*g. Is y greater than w? False Let o = 57 + -172. Let x be -2 - (o*1 + -3). Let p be 2/4*(-8)/x. Is 1 not equal to p? True Let b be (-21)/(-12) + (-4)/2. Let f = -0.93 + -0.07. Let z = f + 1.06. Which is smaller: b or z? b Let q = 23.1 - 23.7. Is q at least as big as -2/17? False Let f be (3/15)/((-4)/(-5)). Is f not equal to -0.19? True Let y = -5.72 + 10.72. Which is greater: 35 or y? 35 Suppose -8 = 5*x - 3*x, 4*x = 4*l - 448. Suppose -4*i - 60 = -2*i + 4*f, l = -4*i - 4*f. Is i at least as big as -24? True Let i = 1.771 - 1.571. Is i equal to 322? False Let o be (4/(-10))/(135/(-75)). Is 31 <= o? False Let t be (4/30)/(2/10). Let h(b) = b**2 - 6*b - 7. Let j be h(7). Suppose -2*d - z = -j - 1, 0 = -5*d + z + 13. Are t and d equal? False Let b = -36 - -60. Let h(m) = m**2 - 9*m. Let t be h(8). Let l be t/(-32)*b/(-5). Which is greater: l or 0? 0 Let o be ((-6)/(-36))/(7/926). Let t = o + -250/7. Which is smaller: t or -15? -15 Let m be (0/((-2)/(-1)))/2. Let s = -265 + 264.8. Is s < m? True Let p = -4 + 11. Let d = -10 + 13. Suppose -4*q - d*n + 36 = 0, -5 = -q + 5*n - 19. Which is smaller: q or p? q Let w = -0.06 - -112.06. Let u = 112 - w. Is u at least -2.5? True Suppose -5*r = 3*j - 271, -6*r - j + 53 = -5*r. Is 56 bigger than r? False Let j be -1*0/1 - -5. Suppose -4 = -2*o - 0*o. Suppose -o*p = -6*p + 2*y - 8, 5*y = -j*p - 10. Which is smaller: p or -3? -3 Let h be 5 + -7 + 4 - (-3)/((-48)/28). Let a = 0.5 - 0.4. Which is smaller: a or h? a Let k be (4/(-14) - 0) + (-90)/(-21). Suppose 2*q + k*w - 10 = 0, w = 4*q - 4 + 11. Which is greater: q or -3/16? -3/16 Let c = 0.1999 + 0.0001. Is 0.0073 less than c? True Let k = 0.3 - 2.3. Let b = 72 - 71.25. Let j = 0.65 - b. Is j > k? True Suppose -12*s + 4*s - 440 = 0. Is s less than -58? False Let f be 2/5*(-10)/(-14). Suppose -4*s + 3*r + 15 = 0, -9 = -4*s + 4*r - 7*r. Suppose 2*t - s = -1. Which is smaller: f or t? f Let v = -7901/22 - -359. Which is greater: -1 or v? v Let c be (-21)/273 + 934/(-26). Is c greater than or equal to -35? False Let m = 174 + -81. Which is smaller: -1 or m? -1 Suppose b + b = 36. Let s be ((-15)/b + 1)*(5 - 1). Is 2 smaller than s? False Suppose 4*r + 2*r = -6. Let q be 1*(r + 5) - 4. Let m(v) = -v**3 + 3*v**2 - 1. Let k be m(2). Which is smaller: q or k? q Suppose 0 = -2*o - 4*y, -y - 8 = -o - 5. Let h be ((-17)/4 + o/(-8))*-4. Which is greater: 19 or h? 19 Suppose -47*j + 40*j - 3101 = 0. Is -442 at least j? True Let u = -0.06 + 15.06. Let r = 15.2 - u. Which is smaller: r or 2? r Let u = 12751/3 - 4204. Let g = 47 - u. Let x(f) = 2*f - 5. Let q be x(4). Is q at least as big as g? True Let m = -576 - -572. Which is greater: m or -1/43? -1/43 Suppose -4*i - 4*x + 4 = 0, -i - i - 2 = -2*x. Suppose -6 = -i*q - 6*q. Is 1/19 <= q? True Let b = -0.3 - -0.3. Let d be (-702)/(-81) - (-2 - 8/(-3)). Which is greater: b or d? d Let b = 6743/4 - 1663. Let l = -17 + b. Is l less than 6? True Let i = -256 + 255.94. Is i less than or equal to 8/7? True Let s = 225/28 - 31/4. Which is greater: s or 67? 67 Let g = -15073 + 15073.6. Let r = 1.1 + 0. Let f = r - 1. Do g and f have different values? True Suppose 0 = -3*t - 2*g - 30, 2*t + g + 28 = -3*g. Let z(n) = n + 3. Let w be z(t). Which is smaller: -1 or w? w Let j(h) = -h**3 + 9*h**2 + 9*h + 10. Let y be j(10). Let k be -3 + (3 - (1 - y)). Which is bigger: 1/16 or k? 1/16 Let u be (5 + 577)*(-4)/60. Which is smaller: -38 or u? u Let f be (-36)/8*(-14)/3. Let s = -7 + f. Let z = 16 - s. Which is smaller: z or 0.04? 0.04 Let z = -296.1 - -296. Is 28/17 at most as big as z? False Let x(m) = 11*m + 5. Let t(p) = -10*p - 4. Let f(a) = -7*t(a) - 6*x(a). Let q be f(2). Which is smaller: q or -2/7? -2/7 Let o(y) = -2*y. Let m be o(-1). Suppose -m*w - 16 = -10. Which is greater: w or -18/5? w Let l = 4 + -4. Let z = l - -0.04. Let u = 4.05 - 4.25. Are u and z equal? False Let x = -13 + 10. Let n(y) = 2*y + 6. Let m be n(2). Suppose -7*q + m*q = -6. Which is smaller: x or q? x Suppose l = 4*n + 2623, 3*n + 3287 = -2*n + 4*l. Let y = n + 1363/2. Which is greater: y or 26? y Let k(h) = 2*h**2 - 9*h - 27. Let l be k(11). Which is smaller: l or 117? l Suppose 3*i + 27 = -d - 2*i, -3*i = -5*d + 5. Let x be (-4 - -2)*d/1592. Let v = x - 813/6766. Are v and 0 equal? False Let x be (1/(-20))/(44/(-55)). Is 0 at least x? False Let b = 81943 - 900568/11. Let j = b + -73. Which is smaller: -9 or j? -9 Let a = 2206 + -130160/59. Does a = 0? False Let u(c) = -c**3 - 2*c**2 + 4*c + 2. Let z be -4 + ((-3)/(-1) - -3). Let i be 22/(-6) - z/(-3). Let y be u(i). Do -1/5 and y have the same value? False Let p = -104 - -108. Suppose 0 = 17*v - 15*v + p. Which is greater: v or 5? 5 Suppose s = 3*s - 4*k - 140, 3*s - 220 = -4*k. Suppose 15*l = 16*l - 21. Let j be (-24)/(-64) + l/s. Which is smaller: j or 2? j Let f be -5 + (3/21 - 12/(-14)). Is f less than -71? False Let d = 2 - -12. Let w be ((-7)/d)/(1/6). Let x be 15/3 - (w + 6). Which is smaller: x or 1? 1 Suppose -g = 0, -5*h + g = 4*g. Let c = -25 - -46. Suppose x = -5*v + 7, 3*v + v - c = -3*x. Is h less than or equal to x? True Let m = 953/14 + -68. Let o = -5/28 - m. Let v = -2587/7 - -369. Which is smaller: o or v? v Let w be ((-3)/((-18)/(-87)))/(259/28). Let y = w - -1894/925. Which is greater: y or 0? y Let k = -8 - 0. Let o = k + 7.97. Let x = 28.9 + -29. Does o = x? False Let u be 5 + (3 - 1) + -4. Suppose 0 = -2*r - 0*v + u*v - 14, 4 = -2*v. Let h = -7 - r. Which is smaller: -0.2 or h? -0.2 Suppose f = -4*h - 5, 4*h = 3*f - 0*f + 15. Let c be 143/65*f/(-1). Is 8 at most c? True Let q(x) = x**2 - 5*x + 5. Let p be q(2). Let i be (-31)/(1/(-1)*p). Are i and -31 unequal? False Let x(s) = 3*s - 16. Let r be x(7). Let t be 5/(-4)*(r - 13). Suppose 0 = -6*g + t*g. Which is smaller: g or 1? g Let p be 0 + (0 - 2) - 6498/(-3268). Is -2/7 smaller than p? True Suppose 0*g + 55 = 5*f - 3*g, 3*f + 3*g - 33 = 0. Let v = f + -10. Let i be 2 - 9*2/8. Is i != v? True Let w = 54 + -84. Let l = 29.9 + w. Which is smaller: -2/15 or l? -2/15 Let s be ((-153)/(-27))/((-7)/(-903)). Which is greater: s or 732? 732 Let g = 252 + -241. Let k = 3.4 + -3. Which is bigger: g or k? g Let r be (-1)/(-2) - ((-351)/(-18) - 9). Is r greater than or equal to -18? True Let q(f) = f**3 - 7*f**2 + 10*f - 24. Let h be q(9). Which is bigger: h or 231? 231 Let a(w) = -11*w + 101. Let v be a(-5). Which is greater: 157 or v? 157 Let h = -9.4 + 4.4. Which is smaller: -16 or h? -16 Suppose -2*q = -29*q - 2079. Is q > -307/4? False Suppose 8*m - 3*m + 545 = -2*w, 3*w = -2*m - 218. Is -108 > m? True Let a = -1.56 + 1.06. Is a at least 32? False Let u = 0.06 - -4.94. Let h = -22.4 - -118.4. Let p = h + -100. Is p greater than u? False Suppose -8*y + 0*y + 4*n - 8 = 0, y - 5*n + 10 = 0. Which is greater: -1/1496 or y? y Let i = 6 - 34. Let z = i + 28.1. Do z and 0.5 have different values? True Let b be (0/(-2) + 0)*1. Let s be (-150)/(-525)*7/4. Which is smaller: b or s? b Let v be (-8 + 14)*(-3 + 188/(-8)). Do -159 and v have the same value? True Suppose -12*m = -13*m + 5. Let l be ((-20)/(-3))/(m/(-60)). Are -81 and l nonequal? True Let n be 5 - ((-20)/(-4) - -8). Which is bigger: -21 or n? n Let d = 96466/9 - 10736. Is d > -17? False Let q = 9 - 11. Let l be (-6 - 33)*q/6. Which is smaller: l or 14? l Let g = -194/11 - -3364/187. Let b = g - 101/238. Is -1 >= b? False Suppose -4*z + 25 = 3*v + z, 3*z - 15 = 0. Suppose v = 3*y - 55 - 35. Let a be (y/50)/((-2)/(-20)). Are -0.1 and a unequal? True Let n be 422094/30*(-1)/(-14). Let l = 1005 - n. Which is bigger: l or 1/2? 1/2 Let n(q) = -2*q - 6. Let c be n(-5). Suppose 2*r - 11 = -3*w, 2*w - c*r = 6*w - 20. Suppose -w = -z - 5. Which is bigger: -6 or z? z Let c = 256 - 7934/31. Let l be (-69)/(-138) - (1 - (-1)/2). Which is greater: l or c? c Let g = 0.218 + 0.062. Suppose -3*t + 8 = -2*t + 4*l, -3*t = 4*l - 8. Is g less than t? False Let s = 228 + -158. Which is smaller: 0.1 or
{ "pile_set_name": "DM Mathematics" }
*3 - 9*w**2 + 12*w + 6. Let k(a) = a**4 + a**3 + a**2 + a + 1. Let i(p) = -j(p) + 6*k(p). What is b in i(b) = 0? 0, 1, 2 Suppose 4*c = c. Let s(h) be the second derivative of -1/12*h**4 + c*h**3 + 0 + 0*h**2 - 2*h. Factor s(i). -i**2 Let w(p) = -p**4 - p**3 - 3*p**2 + 4*p - 2. Let s(t) = -3*t**4 - t**3 - 7*t**2 + 8*t - 4. Let l(q) = 6*s(q) - 14*w(q). Factor l(o). -4*(o - 1)**3*(o + 1) Let o(w) be the first derivative of -w + 5 - w**2 + 1/2*w**4 + 1/5*w**5 + 0*w**3. Find r, given that o(r) = 0. -1, 1 Let q(m) be the third derivative of m**8/43680 + m**7/16380 - m**4/8 - 6*m**2. Let h(n) be the second derivative of q(n). Factor h(z). 2*z**2*(z + 1)/13 Let 16/9 + 2/9*h**4 - 2/3*h**2 + 20/9*h - 8/9*h**3 = 0. Calculate h. -1, 2, 4 Let r(d) = -21*d**2 + 9*d + 11. Let i(b) = 11*b**2 - 4*b - 6. Let g(p) = 11*i(p) + 6*r(p). Determine f, given that g(f) = 0. 0, 2 Let b(t) be the second derivative of -t**7/21 + t**6/15 + t**5/10 - t**4/6 + 8*t. Determine y so that b(y) = 0. -1, 0, 1 Solve 0 - 2/7*l**2 + 8/7*l = 0. 0, 4 Let h(z) be the first derivative of -z**6/6 - 2*z**5/5 + z**4/2 + 4*z**3/3 - z**2/2 - 2*z - 12. Factor h(i). -(i - 1)**2*(i + 1)**2*(i + 2) Let a(w) = -3*w**5 - 6*w**4 - 3*w**3 + 6*w**2 + 6*w + 3. Let o(v) = -v**3 + v + 1. Let y(g) = a(g) - 3*o(g). Factor y(x). -3*x*(x - 1)*(x + 1)**3 Let b(s) = -4*s**3 - 7*s**2 + 4*s + 12. Let z(y) = -4*y**3 - 8*y**2 + 4*y + 12. Let k(q) = 4*b(q) - 5*z(q). Solve k(x) = 0 for x. -3, -1, 1 Let f = 15 + 62. Let p = f + -229/3. Factor 0 + p*w + 2/3*w**2. 2*w*(w + 1)/3 Let l = -1 - -1. Let 2/3*q**4 + 0*q + l - 2/3*q**2 + 0*q**3 = 0. Calculate q. -1, 0, 1 Suppose -4*c - 6 = 2*j - 0*c, -4*j = 3*c - 3. Factor -f - f**j - 2*f**2 + 7*f**2 + 0*f - 3*f**2. -f*(f - 1)**2 Let i(j) be the second derivative of j**3 + 0 + 2*j**2 + 1/6*j**4 - 3*j. Factor i(z). 2*(z + 1)*(z + 2) Let q(d) be the second derivative of -d**7/21 - d**6/15 + d**5/5 + d**4/3 - d**3/3 - d**2 - 5*d. Factor q(y). -2*(y - 1)**2*(y + 1)**3 Let n(k) = 4*k - 3 + 0 - 5*k. Let g be n(-6). What is j in 3*j**4 + j**2 + 3*j**3 - 2*j**4 - 2*j**3 - 3*j**g = 0? 0, 1 Let l(v) be the first derivative of v**3/3 - v**2 + v - 11. Suppose l(n) = 0. Calculate n. 1 Suppose 0 = -4*f + 3*b - 0*b + 17, -2*f + 2*b = -10. Let c(u) be the second derivative of 1/9*u**3 - 1/18*u**4 + 0*u**2 - f*u + 0. Factor c(l). -2*l*(l - 1)/3 Let k(l) be the second derivative of -5*l**4/12 + 25*l**3/6 - 10*l**2 - 27*l. Determine n, given that k(n) = 0. 1, 4 Factor 3/2*k - 3/2*k**2 + 3. -3*(k - 2)*(k + 1)/2 Let u(g) be the first derivative of 0*g + 3 - 2/3*g**3 - 1/2*g**2. Factor u(b). -b*(2*b + 1) Let v(o) = -o**2 - 6*o + 4. Let x be v(-6). Let z be 1 + 2/(x/2). Determine s, given that 4/3*s**z - 1/3 + 2/3*s**3 - s**4 - 2/3*s = 0. -1, -1/3, 1 Let o(z) be the first derivative of -2*z**3/17 - 7*z**2/17 - 4*z/17 - 30. Factor o(r). -2*(r + 2)*(3*r + 1)/17 Let m = 211/60 + -17/20. Solve -10/3*n - 2/3*n**3 + 4/3 + m*n**2 = 0 for n. 1, 2 Suppose -3*y = -0*y - 15. Let 8/5*o**3 + 4/5 - 8/5*o**4 + 4/5*o**2 + 2/5*o**y - 2*o = 0. Calculate o. -1, 1, 2 Let l(w) be the second derivative of w**5/5 - 2*w**4/3 - 2*w**3 + 9*w. Find a such that l(a) = 0. -1, 0, 3 Let r be 2/((-10)/15)*(-4)/6. Factor 0 + 4/3*f**3 + 0*f - 2/3*f**4 - 2/3*f**r. -2*f**2*(f - 1)**2/3 Factor 242/9*j**3 - 8/9 - 154/9*j**2 - 80/9*j. 2*(j - 1)*(11*j + 2)**2/9 Let u(t) be the second derivative of -5*t**4/4 - 3*t**3/2 + 4*t**2 - 2*t. Let r(c) = -195*c**2 - 117*c + 105. Let n(k) = -2*r(k) + 27*u(k). Factor n(j). -3*(j + 1)*(5*j - 2) Let d = 26021/246 - 9/82. Let k = d - 1567/15. Factor -4/5 + k*p - 2/5*p**2. -2*(p - 2)*(p - 1)/5 Factor 28/9*t**3 + 4/9*t**4 + 52/9*t + 20/3*t**2 + 16/9. 4*(t + 1)**3*(t + 4)/9 Factor -3/4*t**2 - 3/4*t**3 + 3/4 + 3/4*t. -3*(t - 1)*(t + 1)**2/4 Factor -20*n**3 + 4*n**4 + 0*n**4 - 12*n - 655*n**2 + 683*n**2. 4*n*(n - 3)*(n - 1)**2 Solve 2*p - 15/2*p**3 + 6*p**2 + 2*p**4 + 0 = 0 for p. -1/4, 0, 2 Determine s so that -6 + 4 + 5*s**5 + 2 + 4*s**2 + 16*s**3 + 17*s**4 = 0. -2, -1, -2/5, 0 Let r(h) be the second derivative of h**5/60 + 3*h**4/2 + 54*h**3 + 972*h**2 + 2*h - 5. Factor r(m). (m + 18)**3/3 Let k be -2 - 1/2*-5. Let f be (-2)/15 - 8/(-60). Suppose f + 1/4*n**3 + k*n**2 + 1/4*n = 0. Calculate n. -1, 0 Let n(i) = -i**2 + 23*i - 86. Let z(y) = -y**2 + 22*y - 85. Let o(h) = 4*n(h) - 5*z(h). Factor o(t). (t - 9)**2 What is w in -4/3*w**3 - 4/3 - 17/3*w**2 - 20/3*w = 0? -2, -1/4 Let p = 3 + -3. Suppose -2*b + 8 = -p*b. Factor 2*o**2 - 6 + o - o**2 + b. (o - 1)*(o + 2) Factor 2*y**3 + 2*y**2 - 6*y**2 - 4*y**2 - 9*y**3 + y**4. y**2*(y - 8)*(y + 1) Let r(s) be the second derivative of 0*s**2 + 8*s + 0 + 1/4*s**4 + 1/10*s**6 + 0*s**3 - 3/10*s**5. What is c in r(c) = 0? 0, 1 Let u(z) be the second derivative of 0 + 2/45*z**6 - 5/9*z**4 + 0*z**2 + 1/15*z**5 + 2/3*z**3 + 8*z. Factor u(y). 4*y*(y - 1)**2*(y + 3)/3 Let c(f) be the third derivative of 3/8*f**4 - 1/40*f**6 - f**2 + f**3 + 0*f**5 + 0 + 0*f. Find k such that c(k) = 0. -1, 2 Suppose 0 = -2*m - 3*m. What is q in 0 - 2*q - 3*q**2 + m*q**4 + 0 + q**4 = 0? -1, 0, 2 Let b(w) be the second derivative of -w**6/15 - 3*w**5/10 - w**4/6 + w**3 + 2*w**2 - 7*w. Determine j, given that b(j) = 0. -2, -1, 1 Factor 33 - 34 + 0*z**2 + z**2. (z - 1)*(z + 1) Let n(t) be the third derivative of t**6/210 - 2*t**5/35 + 2*t**4/7 - 16*t**3/21 + 12*t**2. Let n(q) = 0. What is q? 2 Let s(j) be the second derivative of 7*j**6/15 + 8*j**5/5 + 2*j**4/3 + j. Suppose s(f) = 0. Calculate f. -2, -2/7, 0 Suppose 0 = -4*m + 5*z + 36, -3*m + 2*m + 5*z + 24 = 0. Factor o**3 - o**5 - 3*o**3 + 3*o**3 + 2*o**5 - 2*o**m. o**3*(o - 1)**2 Suppose 4*y + 3 = 3*d - 6*d, d + 14 = 3*y. Determine t so that 0*t + 0 - 2/5*t**y + 0*t**2 = 0. 0 Let x be (-3)/(-6) + (-10)/(-4). Factor 2*u + 6*u**2 + 20 - 20 + 6*u**x + 2*u**4. 2*u*(u + 1)**3 Let d(g) = -g**2 - 44*g - 396. Let z(o) = -o + 1. Let h(v) = d(v) - 4*z(v). Let h(l) = 0. Calculate l. -20 Suppose 3/4*r**2 - 3/2*r**3 + 0 + 3/2*r - 3/4*r**4 = 0. What is r? -2, -1, 0, 1 Let o(f) be the third derivative of 2*f**2 + 0 - 1/90*f**5 + 0*f + 1/36*f**4 - 1/27*f**3 + 1/540*f**6. Let o(l) = 0. Calculate l. 1 Let s = -122 + 126. Factor -5/3*z**5 + 8/3*z**2 - 4*z**3 + 0*z - 6*z**s + 0. -z**2*(z + 2)**2*(5*z - 2)/3 Let f = 24 + -17. Let q(i) be the third derivative of -2*i**2 + 0*i**4 + 1/105*i**f + 0*i**6 + 0 - 1/30*i**5 + 0*i + 0*i**3. Solve q(w) = 0 for w. -1, 0, 1 Let o(i) = -3*i - 61. Let p be o(-21). Factor -1/2*u**4 + u**p + 0*u + 0 + 1/2*u**3. -u**2*(u - 2)*(u + 1)/2 Let u(i) be the first derivative of -16/5*i**5 + 0*i + i**2 + 5*i**3 + 3 + 6*i**4. Let u(d) = 0. What is d? -1/4, 0, 2 Let i(q) be the second derivative of -q**4/3 - 4*q**3 + 14*q**2 + 23*q. Suppose i(v) = 0. Calculate v. -7, 1 Let t be 10 - (-7)/(231/(-6)). Let q = -712/77 + t. Solve 0*p + q*p**3 + 6/7*p**2 - 2/7 = 0. -1, 1/2 Suppose 3*p + p = 4*q - 28, 5*q + 5*p = 5. Let u(n) = -n + 1. Let j(o) = -o**2 - 8. Let x(k) = q*u(k) + j(k). Suppose x(t) = 0. What is t? -2 What is d in 3*d - 5*d - 2*d - d**3 + 5*d**3 = 0? -1, 0, 1 Let k(a) be the second derivative of -a**9/22680 + a**8/10080 + 5*a**4/12 + 4*a. Let n(o) be the third derivative of k(o). Factor n(r). -2*r**3*(r - 1)/3 Let r(k) be the first derivative of -4*k**3/3 + 2*k**2 + 4. Find h, given that r(h) = 0. 0, 1 Let 6*i**2 - 10/3*i**3 - 2/3 - 2*i = 0. Calculate i. -1/5, 1 Let q = -9 - -15. Let c be q/(-3) - (-5 + 3). What is g in -4*g**3 - 2 + 4*g**3 - 3*g**2 + c*g**3 + g**4 + 5*g - g**3 = 0? -2, 1 Let u(i) be the third derivative of 0 + 0*i + 0*i**4 + 1/80*i**5 - 1/8*i**3 - 4*i**2. Factor u(p). 3*(p - 1)*(p + 1)/4 Let k(d) be the first derivative of -d**4/36 - d**3/9 + d**2/2 - 4*d + 1. Let g(a) be the first derivative of k(a). Factor g(n). -(n - 1)*(n + 3)/3 Let o = 12 + -8. Determine l so that -2 + 2*l**3 + o*l**3 - 5*l**3 - 3*l = 0. -1, 2 Let j(g) be the first derivative of -8*g**5/15 - g**4/2 + 2*g**3/9 - 6. What is n in j(n) = 0? -1, 0, 1/4 Let i(z) = 15*z**2 - 11*z - 4. Suppose -4 = m + 2. Let k(q) be the first derivative of -7*q**3/3 + 5*q**2/2 + 2*q - 1. Let n(y) = m*i(y) - 13*k(y). Factor n(g). (g - 1)*(g + 2) Suppose -46 = 5*z - 136. Let 21*a**2 + z*a**4 + 3*a**2 - 42*a**3 + 6*a**3 - 3*a**5 = 0. Calculate a. 0, 2 Let d = 1 + 1.
{ "pile_set_name": "DM Mathematics" }
is t*d(h) + z*w(h)? 3*h**3 Let b(k) = k**3 - 2*k**2 - 4. Suppose 5*c - 5 = 10. Let r(t) = -t**3 + 2*t**2 + 5. Give c*b(n) + 2*r(n). n**3 - 2*n**2 - 2 Let p(w) = -w**3 + 3. Let l(x) = -5*x**3 + 62 + 2*x**3 - 55. Give -3*l(v) + 7*p(v). 2*v**3 Let m(g) = g**2 - 3*g - 3. Let h(u) = 3*u**2 - 8*u - 8. What is 3*h(l) - 8*m(l)? l**2 Let f(w) = 6*w - w - 1 - 3*w. Let v(x) = 13*x - 3*x - 6*x - 2. Give 5*f(l) - 2*v(l). 2*l - 1 Let k(l) = -7*l**2 + 4*l - 1. Let z(n) be the first derivative of -11*n**3/3 + 3*n**2 - 2*n + 6. Let p be ((-50)/(-5))/(-3 + 1). Give p*z(a) + 8*k(a). -a**2 + 2*a + 2 Let v = 3 - 5. Let r be (-24)/(-1 - -4)*-2. Suppose n - r = -x - 0*n, 0 = n - 2. Let l(g) = -g + 6. Let j(h) = 1. Determine v*l(f) + x*j(f). 2*f + 2 Let u(t) = 11*t - 5. Let f(s) = 9*s - 4. Let i(g) = -6*f(g) + 5*u(g). Let y(j) = -7*j + 4. Give -4*i(l) - y(l). 3*l Let z(p) = -3*p**3 + 2*p**2 + 2*p + 5. Let x(n) be the second derivative of n**5/10 - n**4/12 - n**3/6 - 3*n**2/2 + 11*n. Determine -10*x(l) - 6*z(l). -2*l**3 - 2*l**2 - 2*l Let s(u) = u + 33 - 33. Let n(a) = -a**2 + a + 1. What is -2*n(j) + 2*s(j)? 2*j**2 - 2 Let n(h) = -h - 3. Let z be n(-8). Let g(i) = i**3 + 3. Let u = -4 - -8. Suppose u*p = p - 9. Let l(x) = x**3 + 5. What is p*l(m) + z*g(m)? 2*m**3 Let d(w) = -w**2 + 8*w + 1. Let z(p) = -p**2 + 7*p + 1. Let j(n) = -6*d(n) + 7*z(n). Let f(k) = 28*k**2 - 24*k - 24. Give f(o) + 24*j(o). 4*o**2 Let l(f) = 1321*f**2 - 651*f**2 - 653*f**2. Suppose 17 = 4*i + 1. Let s(y) = 6*y**2. Determine i*l(k) - 11*s(k). 2*k**2 Let q(n) = -85*n**3 + 9*n**2 - 9*n. Let o(v) = 43*v**3 - 4*v**2 + 4*v. Calculate -9*o(p) - 4*q(p). -47*p**3 Let b(u) = -u**2 - 11*u - 5. Let z(s) = -2*s - 1. Determine -4*b(f) + 22*z(f). 4*f**2 - 2 Let o(k) = k**3 + 13*k**2 - k. Let b(m) = -m**2 - m. Determine b(p) - o(p). -p**3 - 14*p**2 Let y = 4 + -6. Let o(d) = 4*d**2 - 2*d - 2. Let w(b) = -12*b**2 + 7*b + 7. Calculate y*w(g) - 7*o(g). -4*g**2 Let k(p) = p**3 + 2*p + 2. Let c(t) = -4*t**3 - 7*t - 7. What is 6*c(y) + 21*k(y)? -3*y**3 Let u(b) = 2*b**3 - 4*b**2 + 4*b + 3. Let f(a) = a**2 + a + 3. Let g be f(-3). Let o(q) = -5*q**3 + 9*q**2 - 9*q - 6. What is g*u(i) + 4*o(i)? -2*i**3 + 3 Let u = -8 + 4. Let q(f) = -2*f**2 - 4. Let o(t) be the third derivative of 0 + 0*t - 1/60*t**5 + 2*t**2 - 1/6*t**3 + 0*t**4. What is u*o(k) + q(k)? 2*k**2 Let l(k) = k**3 + 2*k**2 + 16*k. Let s(u) = 4*u**3 + 9*u**2 + 64*u. Give -9*l(z) + 2*s(z). -z**3 - 16*z Let s(v) = -v. Let n(c) = -9*c. Let l(m) = m**3 - 12*m**2 + 11*m + 3. Let f be l(11). Suppose -o - f = 2*o. Determine o*n(r) + 6*s(r). 3*r Let q(y) = -4*y**3 + 2*y**2 - y - 2. Let c(v) be the third derivative of v**6/24 - v**5/20 + v**4/12 + v**3/3 + 15*v**2. Determine 2*c(x) + 3*q(x). -2*x**3 + x - 2 Let q(t) = t - 1. Let v(l) = 18*l - 11. Calculate 22*q(b) - 2*v(b). -14*b Let l(n) = -2*n - 2. Let a be 7 - (2 + 2 + -3). Let w(y) = 3*y - 4 + 0*y - 4*y + 3. Give a*l(r) - 13*w(r). r + 1 Let y(o) = o - 3. Let g(x) = x - 34 + 14 + 16. Give -5*g(d) + 6*y(d). d + 2 Let k(z) = z**2 - 6*z - 6. Let o(c) = 2*c**2 - 9*c - 9. What is 8*k(y) - 5*o(y)? -2*y**2 - 3*y - 3 Let x(d) = 6*d**2 + 8*d. Let k(q) = 12*q**2 + 17*q. What is -6*k(t) + 13*x(t)? 6*t**2 + 2*t Let t(i) = 2*i**3 + 2*i - 2. Let v(z) = -2*z**3 - 3*z + 3. Determine 3*t(q) + 2*v(q). 2*q**3 Let i(b) = 3*b**2 + 3*b. Let c(r) = r + 6. Let l be c(-9). Let t(p) = -6*p**2 - 5*p. What is l*t(m) - 5*i(m)? 3*m**2 Let c(r) = -205*r + 9. Let g(x) = -51*x + 2. What is -2*c(w) + 9*g(w)? -49*w Let i(a) = -2*a**2 + 2*a - 1. Let m(k) be the third derivative of -k**5/6 + 5*k**4/12 - k**3 - k**2. Let d be -2*(0 + (-6)/(-4)). Give d*m(w) + 16*i(w). -2*w**2 + 2*w + 2 Let o(l) = -l**2 - 2*l - 2. Let t = 3 + -9. Let r(a) = -a**2 + 7*a - 6. Let w be r(5). Let g(d) = 5*d**2 - 3*d - 3 - 3*d**2 - w*d**2. Calculate t*o(j) + 4*g(j). -2*j**2 Let w(a) = 2*a - 1 + 3*a - 4*a. Let m(j) = -7*j + 15. Let s(l) = -3*l + 8. Let x(i) = -3*m(i) + 5*s(i). What is -22*w(y) + 4*x(y)? 2*y + 2 Let f(v) = v**2 + v - 3. Let r = 15 - 12. Suppose r*k - 29 = -5. Let x(m) = -3*m**2 - 2*m + 8. Calculate k*f(l) + 3*x(l). -l**2 + 2*l Let s(w) = 2*w**2 + 5. Suppose 0*t + 10 = -2*t. Let v = 39 - 43. Let z(q) = -q**2 - 4. Calculate t*z(h) + v*s(h). -3*h**2 Let q(w) = -14*w + 42. Let d(b) = b - 1. Calculate 12*d(o) + q(o). -2*o + 30 Let m(j) = j**2 - j + 8. Let q(n) = 2*n**2 - 2*n + 15. Determine 7*m(r) - 4*q(r). -r**2 + r - 4 Let q(y) = 10*y. Suppose -6*p + 3*p - 75 = 3*g, -4*p - g = 88. Let k(i) = 3*i. Calculate p*k(v) + 6*q(v). -3*v Let r(l) = 0 - 1 - 4 - l. Suppose 3 - 35 = -4*j. Let x(b) = -2*b - 8. Let y be (-9)/2 - 1/2. Determine j*r(f) + y*x(f). 2*f Let q(r) = -2*r**2 + 3*r - 1. Suppose 5*c + 8 = 3*c. Let h(f) = -4*f**2 + 6*f - 2. Calculate c*h(y) + 9*q(y). -2*y**2 + 3*y - 1 Let a(j) = j**2 - j - 1. Let t(q) be the first derivative of -4*q**3/3 + 5*q**2/2 + 5*q - 18. Determine -5*a(z) - t(z). -z**2 Let g(f) = 8*f - 4. Let j be (-3)/((-3)/(-2)) - -3. Let t(p) = 3 - 3 - p + 1. Calculate j*g(r) + 6*t(r). 2*r + 2 Let k(z) = 4*z**3 + 8*z**2 - 8*z + 8. Let i(f) = -f**3 - 3*f**2 + 3*f - 3. Calculate 8*i(j) + 3*k(j). 4*j**3 Let c(b) = 4*b**2 + 2*b + 2. Let n(g) = 3*g**2 + 3*g + 2. Determine -3*c(z) + 2*n(z). -6*z**2 - 2 Let p(c) = -c**2 + 12*c - 1. Let z(q) = -2*q**2 + 25*q - 3. What is 5*p(k) - 2*z(k)? -k**2 + 10*k + 1 Let r(g) be the third derivative of g**4/24 - g**2. Let n(l) = 2*l**2 - 4*l + 1. Suppose -4*s + 0*s = 4. Give s*n(b) - 4*r(b). -2*b**2 - 1 Let z(i) = -11*i**3 - 11*i**2 + 20. Let j(d) = 4*d**3 + 4*d**2 - 7. Suppose -7 + 75 = 4*t. What is t*j(n) + 6*z(n)? 2*n**3 + 2*n**2 + 1 Let b(c) = -c - 2. Let m be (2 + 0/1)*1. Let j be 1/4 - (-148)/(-16). Let o(w) = -4 - 3 - 5*w - 2. Determine j*b(q) + m*o(q). -q Let k(l) = 6*l**3 + 5*l**2 + 5. Let h(f) = f**3 + f**2 + 1. Let a(u) = -u + 12. Let m be a(10). Let x = 7 - m. Calculate x*h(d) - k(d). -d**3 Let f(d) = 4*d**3 + 1. Let i(u) = -u**3 - 1. Let z = 7 - 6. Let v be 2/4*10/z. Let q = v - 7. What is q*i(n) - f(n)? -2*n**3 + 1 Let t(s) = 5*s + 3. Let c(h) = -14*h - 8. Suppose q - 3 - 14 = -5*i, 5*i - 4*q - 32 = 0. Suppose -60 + 20 = 5*m - i*d, -40 = 5*m + 3*d. What is m*t(a) - 3*c(a)? 2*a Let o(l) = -l - 2. Let v(d) be the third derivative of d**4/8 + d**3 + 9*d**2. Calculate 8*o(a) + 3*v(a). a + 2 Let t(m) = m**3 + m - 3. Let b(y) = y + 1. Calculate b(u) + t(u). u**3 + 2*u - 2 Let l(z) = -z - 3. Let q(u) = 8*u + 11. Let j(a) = 9*l(a) + 2*q(a). Let p(m) = -1. Let k(w) = -4*w + 8. Let t(c) = -k(c) - 5*p(c). Determine 6*j(d) - 10*t(d). 2*d Let k(s) = -s**2 + 6*s - 3. Let x be k(2). Let t(q) = q + 5. Let w(y) = y + 3. What is x*w(u) - 3*t(u)? 2*u Let l = -4 - 9. Let t(a) = 2*a**2. Let s(u) = -u**2. What is l*s(v) - 6*t(v)? v**2 Let b = -1 + 4. Suppose 0 = 6*x - b*x - 6. Suppose 3*r + 2*r = 15. Let n(k) = 2*k**3 + 3*k**2. Let d(t) = -2*t**3 - 2*t**2. Determine r*d(c) + x*n(c). -2*c**3 Let l be (1 + -2)/(1 - 2). Let i(t) = -4*t**2 - 5*t. Let x(f) be the second derivative of f**4/12 + f**3/6 - 2*f. Determine l*i(y) + 3*x(y). -y**2 - 2*y Let g be (1 - 1) + (4 - 2). Let n(b) = 4 - 6*b**3 + 5*b - 2*b**g - 3*b + 4*b + 5*b**3. Let q(j) = -j**3 - 2*j**2 + 5*j + 3. Give 5*n(m) - 6*q(m). m**3 + 2*m**2 + 2 Let o(t) = 2*t + 5. Let a(c) = -c - 1. Suppose -5*s + 2*z = -0*z - 9, s - 4*z + 9 = 0. What is s*a(q) + o(q)? -q + 2 Let k = -5 + 14. Let x(b) = 3*b**2 - 2*b - 1. Let o(h) = 7*h**2 - 5*h - 2. Let y(p) = -p**3 + 4*p**2 - 6*p + 5. Let s be y(3). What is k*x(i) + s*o(i)? -i**2 + 2*i - 1 Suppose -3 + 1 = -2*z. Let u(f) = 1. Let q(b) = 2*b - 3. Let y = 602 + -600. What is y*u(d) + z*q(d)? 2*d - 1 Let r(x) = 6*x - 5. Let j(v) = -17*v + 14. Suppose 5*d + 63 - 23 = -5*u, -3*u = 4*d + 24. Calculate u*r(l) - 3*j(l). 3*l - 2 Let p(j) = -j**3 - j. Let w(u) be the first derivative of u**4 + u**2 + 1. Calculate 3*p(x) + w(x). x**3 - x Suppose -2*n - 6 = 5*x, 0*n + 3*n - 5*x = -9. Let d(p) = 5*p**3 + 4*p + 3. Let c(a) = -11*a**3 - 9*a - 7. Give n*c(z) - 7*d(z). -2*z**3 - z Let w(p) = -7*p + 3. Let z(q) = 160*q - 68. What is 136*w(h) + 6*z(h)? 8*h Let t(n) = 2*n - 10. Let z(w) = -1. Let u(d) = d - 26. Let i be u(9). Let k = -16 - i. Give k*t(q) - 12*z(q). 2*q + 2 Let a(t) = -6*t**3 + 3*t**2 - 3*t + 2. Let l(m) = m**3 - m**2 + m. Give a(
{ "pile_set_name": "DM Mathematics" }
9, -7, 134 in decreasing order. 134, -0.19, -7, -16 Sort 33, 0.2, 2/93, 733. 2/93, 0.2, 33, 733 Sort -2, 227, 1, 2, -1, 98 in ascending order. -2, -1, 1, 2, 98, 227 Put 56544/35, 2/7, 2, 0 in increasing order. 0, 2/7, 2, 56544/35 Put 512, 1, -1, -83 in descending order. 512, 1, -1, -83 Put 0, -3, 3, 2401, 10, 5 in decreasing order. 2401, 10, 5, 3, 0, -3 Sort -4/7, -2/1559, -4, -3, -48/47 in decreasing order. -2/1559, -4/7, -48/47, -3, -4 Sort -24, 3, 2/9, 1, 5, 2, 0.2 in ascending order. -24, 0.2, 2/9, 1, 2, 3, 5 Sort -11, 388, -69, -1/47 in increasing order. -69, -11, -1/47, 388 Sort 37, 329, -2, 2, 1, -38 in increasing order. -38, -2, 1, 2, 37, 329 Put 0, -8, 2/135, 109, -31 in ascending order. -31, -8, 0, 2/135, 109 Sort -4, -1498, -0.111, -5 in increasing order. -1498, -5, -4, -0.111 Put 1, 2/5, 784, 17 in ascending order. 2/5, 1, 17, 784 Put 0.2, -8/3, 0.06, 19202 in decreasing order. 19202, 0.2, 0.06, -8/3 Put -0.03, 2, -1/3, 11952, 0.04, 1 in descending order. 11952, 2, 1, 0.04, -0.03, -1/3 Sort 1, 6, 0, 128280, -2, 2 in descending order. 128280, 6, 2, 1, 0, -2 Sort 0, 8592, 5, 21 in decreasing order. 8592, 21, 5, 0 Put -2, 1, -4, 4, 2, 457964 in decreasing order. 457964, 4, 2, 1, -2, -4 Sort -65, -1, 2, 5206, -4 in ascending order. -65, -4, -1, 2, 5206 Sort -1541, 3, -4254 in descending order. 3, -1541, -4254 Sort 78, -10/7, -146/23 in increasing order. -146/23, -10/7, 78 Sort -2, -0.5, 18, 1387, 1.1. -2, -0.5, 1.1, 18, 1387 Sort -6166, 0, 15/4, 0.49, -2/13. -6166, -2/13, 0, 0.49, 15/4 Sort 32, 7957/5, 0 in descending order. 7957/5, 32, 0 Put 0, -4, 2, -3, 3, 220 in descending order. 220, 3, 2, 0, -3, -4 Sort -4, -1003, 12, 103, -3, 2. -1003, -4, -3, 2, 12, 103 Sort 3, 0, 7, -3, -4, 150, -9. -9, -4, -3, 0, 3, 7, 150 Put 5, -6, 222037, 1 in increasing order. -6, 1, 5, 222037 Sort 101, 1316798, -1 in descending order. 1316798, 101, -1 Put 2, 32, 4622, -1, 4 in descending order. 4622, 32, 4, 2, -1 Sort -7/5, -173/9, 25. -173/9, -7/5, 25 Put 7/54, -27, 2/9, -11 in ascending order. -27, -11, 7/54, 2/9 Sort -261875, -4, 129. -261875, -4, 129 Sort -17/2, -2, 1/4, 0, 3/5, 4, -5 in decreasing order. 4, 3/5, 1/4, 0, -2, -5, -17/2 Put 72, -3, -2288 in decreasing order. 72, -3, -2288 Sort -1.07, 0.2, -4, -20/123, -3 in descending order. 0.2, -20/123, -1.07, -3, -4 Sort 11/4, 5.7, -2/9, 3/4, -1, -3/5 in descending order. 5.7, 11/4, 3/4, -2/9, -3/5, -1 Sort 52, 3, -406, 8. -406, 3, 8, 52 Put 0.1, 222, 2/49, -15 in decreasing order. 222, 0.1, 2/49, -15 Sort -27, 2563, 5, 66 in descending order. 2563, 66, 5, -27 Put -2/7, -2/15, 16406, -18 in ascending order. -18, -2/7, -2/15, 16406 Put 12, -4, 4, 68, 24, 0, -6 in decreasing order. 68, 24, 12, 4, 0, -4, -6 Put -198, -3/7, 1/8, -4, -0.3, -3 in ascending order. -198, -4, -3, -3/7, -0.3, 1/8 Sort 1, 2, 126931, -1/5, -0.7 in decreasing order. 126931, 2, 1, -1/5, -0.7 Sort 974, 3, -682726 in descending order. 974, 3, -682726 Sort -19, -4569, 1991 in descending order. 1991, -19, -4569 Sort -231330, 3, 4, 8, 1 in descending order. 8, 4, 3, 1, -231330 Put -1, -32, -2, 4, 11, 359 in increasing order. -32, -2, -1, 4, 11, 359 Sort 23, -4, 106, -9.86. -9.86, -4, 23, 106 Put 139, -724, -60/11, 3, 0.4 in descending order. 139, 3, 0.4, -60/11, -724 Put 0, -1, -9, 22, -803, -2, 12 in decreasing order. 22, 12, 0, -1, -2, -9, -803 Sort 16367, -5, 98, -2/5, -4, 1 in increasing order. -5, -4, -2/5, 1, 98, 16367 Sort 8, -922, 4, -17577 in increasing order. -17577, -922, 4, 8 Put 1/4, 3, 24060609, 5 in ascending order. 1/4, 3, 5, 24060609 Sort -1/16, 1, 0.5, -0.04, 3.4, -7 in descending order. 3.4, 1, 0.5, -0.04, -1/16, -7 Put 1947/2, 0.1566, -3/4 in descending order. 1947/2, 0.1566, -3/4 Put 24314, -4, 2, -425, -1 in ascending order. -425, -4, -1, 2, 24314 Sort -47143, -5, 27, -3, -4, 0, 2 in descending order. 27, 2, 0, -3, -4, -5, -47143 Sort -4570, -8338, -4 in increasing order. -8338, -4570, -4 Sort -416.065, -1/4, -15.4 in ascending order. -416.065, -15.4, -1/4 Sort -39, -611, -5, 5, 1, -22 in ascending order. -611, -39, -22, -5, 1, 5 Put 2, -5, 2396, 5, -475, -3 in decreasing order. 2396, 5, 2, -3, -5, -475 Put -41077, 5.5, -2.7 in decreasing order. 5.5, -2.7, -41077 Sort -302, -2, 1179 in increasing order. -302, -2, 1179 Sort -22741, -58, 5, 3. -22741, -58, 3, 5 Sort 17, 543, -2, -4, 2, 1 in decreasing order. 543, 17, 2, 1, -2, -4 Sort 5, 486, -5, -3, -27, 9, 3 in increasing order. -27, -5, -3, 3, 5, 9, 486 Put -26, -0.226666, 23 in ascending order. -26, -0.226666, 23 Sort -0.014, -3, -101, 1, -25 in decreasing order. 1, -0.014, -3, -25, -101 Sort -4, -8, 3, 12, -71, 0, -31. -71, -31, -8, -4, 0, 3, 12 Put -193, 5, -460, 1 in descending order. 5, 1, -193, -460 Sort -5, 0, -10222, -3, 68, 1 in descending order. 68, 1, 0, -3, -5, -10222 Put 560, 21291, -1 in increasing order. -1, 560, 21291 Put -208, 1505, -24 in increasing order. -208, -24, 1505 Sort -11/4, -7/4, 0.3, 7, 0.2, -12 in increasing order. -12, -11/4, -7/4, 0.2, 0.3, 7 Put 2, -125909, -5, 4, -62 in increasing order. -125909, -62, -5, 2, 4 Sort 2, -15, 3, -1, 18, 26. -15, -1, 2, 3, 18, 26 Put 26722, 1, -5, 6, 0, -4, 4 in ascending order. -5, -4, 0, 1, 4, 6, 26722 Sort -4/9, -3, 577218, 0.02 in ascending order. -3, -4/9, 0.02, 577218 Sort 34.4, -9/2, 4/3, -0.2, -8.8 in descending order. 34.4, 4/3, -0.2, -9/2, -8.8 Sort 5, -5, -3, -4, 295, 292. -5, -4, -3, 5, 292, 295 Sort -9/2, 510, 4, -0.16 in increasing order. -9/2, -0.16, 4, 510 Put -150, -11, 3/10, 1, 1/64 in increasing order. -150, -11, 1/64, 3/10, 1 Sort -3647, 3375, -1 in decreasing order. 3375, -1, -3647 Put 2/4285, -6, -85600 in ascending order. -85600, -6, 2/4285 Put -96, -4, 1, -2, 3, -579, 2 in ascending order. -579, -96, -4, -2, 1, 2, 3 Sort 292, 3, 87, 15, 5 in increasing order. 3, 5, 15, 87, 292 Put 3/16, 0.1, 1/4, 1, 1145, 2/3 in descending order. 1145, 1, 2/3, 1/4, 3/16, 0.1 Sort -41, 610543, 5 in descending order. 610543, 5, -41 Put 0, -1, -1.03, 0.5, 0.8, -5 in decreasing order. 0.8, 0.5, 0, -1, -1.03, -5 Sort -2, 1, -17, -13971, 3, -3 in descending order. 3, 1, -2, -3, -17, -13971 Put -5, -1372, 99 in increasing order. -1372, -5, 99 Sort -4, -18, 39, -2, -126 in increasing order. -126, -18, -4, -2, 39 Put 4, -0.03, 5, -301, 308 in descending order. 308, 5, 4, -0.03, -301 Put 0.2, 29, 2, -0.08 in decreasing order. 29, 2, 0.2, -0.08 Sort 218840, 4, -0.4, 1.1. -0.4, 1.1, 4, 218840 Sort -9, -3, 251973 in descending order. 251973, -3, -9 Put -4, 3696, -5063 in increasing order. -5063, -4, 3696 Put 5, -2, -135, -138, -6, 12, 2 in decreasing order. 12, 5, 2, -2, -6, -135, -138 Sort -2/3, -0.253, 18/11, 32. -2/3, -0.253, 18/11, 32 Sort 1, 7, -17, -3, -13, 9 in decreasing order. 9, 7, 1, -3, -13, -17 Put 0.5, 6359811, -4, 4 in increasing order. -4, 0.5, 4, 6359811 Sort -179, -30, -3376 in descending order. -30, -179, -3376 Sort 41216, -4, -3, 6. -4, -3, 6, 41216 Sort 516, 1, 4, -26926, 0, 5 in decreasing order. 516, 5, 4, 1, 0, -26926 Sort 0, 1, -855, -6, -31, -1 in descending order. 1, 0, -1, -6, -31, -855 Sort 311, -1, 3, 1816, -6 in ascending order. -6, -1, 3, 311, 1816 Sort -0.5, -79203, 1/11 in descending order. 1/11, -0.5, -79203 Sort 618, 2/13, 1.8, 3/2. 2/13, 3/2, 1.8, 618 Sort 24, -13.13, 2/17, 1/10. -13.13, 1/10, 2/17, 24 Sort 2, 103225, -5, 0, 3, 5. -5, 0, 2, 3, 5, 103225 Put -5, 0.01, 299306 in ascending order. -5, 0.01, 299306 Put -4, 417/184, -3/8 in decreasing order. 417/184, -3/8, -4 Put -0.4, -0.3, 1, -1/3, 272, 1.3 in increasing order. -0.4, -1/3, -0.3, 1, 1.3, 272 Sort 105/17, 4, -20260. -20260, 4, 105/17 Sort -1/3, -5, -2/11, 1, 208, -9, 5 in decreasing order. 208, 5, 1, -2/11, -1/3, -5, -9 Put 5/22, -150.8, 3, 22 in ascending order. -150.8, 5/22, 3, 22 Sort -20020, -5, 59 in decreasing order. 59, -5, -20020 Sort 5/3, -4/21, 11, 0.058 in ascending order. -4/21, 0.058, 5/3, 11 Sort -532, -0.4, 454. -532, -0.4, 454 Sort -38, 8, 3, -1, 1, 2, -13. -38, -13, -1, 1, 2, 3, 8 Put 57.6, 369, -1/50 in increasing order. -1/50, 57.6, 369 Sort -1/19, -0.3, 0.4, -638, 7 in descending order. 7, 0.4, -1/19, -0.3, -638 Sort -30, 16, -2, -102, -21, -4, 3 in ascending order. -102, -30, -21, -4, -2, 3, 16 Put 213, 2/21, -2/29, -2, -1, -7/2 in decreasing order. 213, 2/21, -2/29, -1, -2, -7/2 So
{ "pile_set_name": "DM Mathematics" }
= -5*u - 2, -p - u - 6 = 0 for p. -4 Solve -9*p + 2*w - 12 = -14*p, 5*w + 24 = p for p. 4 Solve 5*u - w = -0*w - 19, -2*w + 2 = -u for u. -4 Solve -3*a + 3*d + 6 = 0, -112*a + 110*a + d = -2 for a. 0 Solve -16 = 14*w - 11*w - d, w = -d + 4 for w. -3 Solve 5*j + 2*w - 11 = 0, -8*j + 5*w + 19 = -5*j for j. 3 Solve 5*n + 2*i - 23 = 0, -5*n + 11*i - 6*i - 5 = 0 for n. 3 Solve -6*n + 13 = 5*x, 11 = 10*x - 7*x + 2*n for x. 5 Solve 5*x + 3*y + 1 = 4*x, 16 = -3*x + 4*y for x. -4 Solve -5 + 29 = 5*c - 2*v, -2*c - 17 = 3*v for c. 2 Solve 5*y - 4 = -k, k - 12 = -3*y - 2*k for y. 0 Solve -5*r + 2*r = -9, -5 = 2*l - r for l. -1 Solve -b - 1 = 61*q - 60*q, 2*q - 3*b + 17 = 0 for q. -4 Solve 0 = -2*n + f + 1, 16*n + 3*f - 30 = 11*n for n. 3 Solve -5*t = -20, 0 = -5*x + 2*x - t - 2 for x. -2 Solve 5*w + 0*o + 40 = -o, 4*o + 24 = -3*w for w. -8 Solve 6*x - t = 2*x + 13, -5*x = -2*t - 14 for x. 4 Solve 1 = -2*a + 5*x, 5*a - 6 = 3*x + x for a. 2 Solve 3*h + 17 = 2*h - 3*g, -2*g + 17 = -5*h for h. -5 Solve 0 = -4*g - 4*q - 16, -5*q + 19 - 37 = 3*g for g. -1 Solve -20 = -5*u + 3*l, 3*u = -l - 2*l + 12 for u. 4 Solve 3*t + 4*x + 11 = 0, -5*t - 9 = -0*t + 2*x for t. -1 Solve 4*m = -3*y - 32, -6*m = -7*m - 5 for y. -4 Solve 4*a - 1 = -2*m + 9, 3*m - 4 = 5*a for a. 1 Solve -1 = u + 5*z + 19, -2*z + 5 = 3*u for u. 5 Solve t = -5, 4*f + 0*t - 10 = 2*t for f. 0 Solve 4*u = -7*r + 2*r - 21, 2*r + 8 = -2*u for u. 1 Solve 4*u = -26*c + 21*c, u = c + 9 for u. 5 Solve 0 = 6*g + 8*v - 4*v - 12, -2 = -g + v for g. 2 Solve 6*s - 7*s + q + 3 = 0, -2*s + 12 = -3*q for s. -3 Solve -3*u - 5*b - 25 = 0, 8*u - 13*u = 5*b + 35 for u. -5 Solve 2*w - 5 = 5*n, 3*w - n + 5 = -6*n for w. 0 Solve f + v + 7 = 0, 3 = -5*v - 22 for f. -2 Solve 3 = -7*i + 5*i + y, 0 = i - 3*y - 11 for i. -4 Solve 2*v + 4*q - 10 = 0, -3*v + 36*q - 40*q + 11 = 0 for v. 1 Solve -4*k - 48 = 12*w - 7*w, -2*k - w - 18 = 0 for k. -7 Solve -172*a + 33 = -3*p - 178*a, a + 4 = 0 for p. -3 Solve 0*p + 5*p - 10 = -2*i, 3*i = 0 for p. 2 Solve 6*x - 4*z + 26 = 4*x, -z = x - 2 for x. -3 Solve 279 = -2*d + 4*h + 299, 2*d + 2*h + 16 = 0 for d. -2 Solve -3*u - b + 1 = 0, 0*b + 11 = 3*u - 4*b for u. 1 Solve 0 = 2*z + 3*o + 15, 4*o - 1 + 13 = 0 for z. -3 Solve -4*u + 2*j - 3*j - 15 = 0, 0 = j - 1 for u. -4 Solve 4*h + g - 7 = 14, -h + 8 = 3*g for h. 5 Solve -4*y = n - 14, 0 = -6*n + 11*n - 5*y - 20 for n. 6 Solve 0 = 3*b + 2*g + 2, g - 6*g = b + 5 for b. 0 Solve -19 = -2*r - 3*b, 6*b - 3*b - 5 = 5*r for r. 2 Solve 5*i = 3*i + 5*u - 23, i = 5*u - 19 for i. -4 Solve -y - q + 2 = 0, -3*y + 132*q - 127*q - 18 = 0 for y. -1 Solve 3*t = 8*t - 5*b + 40, 5*t + 10 = -5*b for t. -5 Solve w + 4*x + 9 + 3 = 0, -3*x = -w + 2 for w. -4 Solve 3*d + 28 = -4*l, -19 = 11*l - 8*l + 2*d for l. -1 Solve 0 = -3*k + 4*g + 23, -91*g + 89*g = k - 1 for k. 5 Solve -20*c + 17*c - n - 5 = 0, 4*n = -c - 9 for c. -1 Solve -3*b = -274*g + 272*g - 4, -2*g - 4*b + 24 = 0 for g. 4 Solve 5*p - 11 = w, -2*w = -4*p + 52 - 48 for p. 3 Solve -t - 5*n - 11 = 0, -3*n + 18 = 5*t + 7 for t. 4 Solve 0 = 5*h - 20, -3*d - 13 = -5*h + 4 for d. 1 Solve -3*b - 10 = -p, 3*p = -5 - 1 for b. -4 Solve -3*o = -5*g - 35, -3*o = -10*g + 6*g - 31 for o. 5 Solve -m - 2*p = 14, -9 = 3*p + 6 for m. -4 Solve 5*u - 3 = -3*a, a - 3 = 4*u - 2 for a. 1 Solve 4*p + 30 - 10 = 2*u, 32 = -4*p + 5*u for p. -3 Solve 2*d - 3*r + 1 - 2 = 0, 5*d - 2*r - 19 = 0 for d. 5 Solve -3*r + y - 15 = 0, -3*r + 0*r = -2*y + 18 for r. -4 Solve -2*y - 5*n - 8 = -5*y, n = y for y. -4 Solve d = -5*y + 4*d + 9, 4*y = 3*d + 6 for y. 3 Solve 5*z - 45 = 5*o, -3*z + 8*z + 2*o = 17 for z. 5 Solve 4*c - 3*u + 28 = 0, -5*u + 191 = 171 for c. -4 Solve 3*b = 6*s + s + 22, -s - 10 = 3*b for s. -4 Solve -4*f = -5*b - 11, 2*b + 9*f + 14 = 13*f for b. 1 Solve -2*m = 6, 5*h = 4*h + m + 7 for h. 4 Solve -12 = 3*y + 3*l, -3*l - 2 = -2*y - 0*l for y. -2 Solve 0 = 5*r - 3*o + 29 + 11, -o = -4*r - 25 for r. -5 Solve 2*f = -4*k + 1 - 7, -12 = 4*f + k for f. -3 Solve 4 = -2*l + 2*r + 10, 2*l - 3*r - 9 = 0 for l. 0 Solve -77 = -4*f + s - 70, 2*f = -5*s - 13 for f. 1 Solve -13*s + 18*s = 4*z - 19, -z - 4*s = 11 for z. 1 Solve 5*b - 4*n = -21, 2*b - n - 6 = -3*n for b. -1 Solve 8*w + 4*c = 13*w - 20, -3*w + 5*c = -25 for w. 0 Solve 2*b + 25 = 5*g, -5*b - 8 = 4*g + 5 for g. 3 Solve 16 = -5*f + 4*i, -5*i - 17 + 4 = 2*f for f. -4 Solve -5*h + 20 = 0, -3*g = 3*h - 6*h + 27 for g. -5 Solve 5*b + a - 25 = 5*a, 0 = 3*b + 5*a + 22 for b. 1 Solve -i + 4 = 3*v, -82*v + 83*v + 3*i + 4 = 0 for v. 2 Solve 113*v - 108*v + 45 = -5*g, -5*g - 4*v - 40 = 0 for g. -4 Solve 3*j + 15 = 2*j + 5*w, 0 = -4*j + 4*w - 12 for j. 0 Solve 14 = -2*h - 6*r + 11*r, 2*r - 8 = 0 for h. 3 Solve 5*r = 3*j + 40, 2*j = -r + 28 - 33 for r. 5 Solve 0 = -4*f - 3*t - 12, -1 - 2 = f - 4*t for f. -3 Solve 5*b - t = -21, -2*t - 17 = 5*b + t for b. -4 Solve -5*a - 3*c = 8, 0 = -3*a + 14*c - 9*c + 2 for a. -1 Solve -5*b + 10 = -3*r, -2*b + 3*b = 2*r - 5 for r. 5 Solve -30*l - 18 = -28*l - 4*g, 4*l = -g - 9 for l. -3 Solve -3*v - j - 10 = -3*j, -4*v = 3*j + 2 for v. -2 Solve 3*f + 3*s = -21, 3*f - 5*s = -10 + 5 for f. -5 Solve i - 2*a = -2*i - 14, -4 = -a for i. -2 Solve 3*s + 3*u - 15 = 0, -3*s + 22 = 2*s + 2*u for s. 4 Solve 3 = 4*r - 5*u, 0 = -4*r - 4*u + 26 - 14 for r. 2 Solve 12 = -7*v - 2, 4 = q - v for q. 2 Solve 3*n = -5*r + 10, 11*n - 12*n = -5*r + 30 for n. -5 Solve 4*j = 4*d + 5*j - 3, -5*d + j + 15 = 0 for d. 2 Solve 2*q - 8*t + 5*t + 14 = 0, -4*q + 3*t = 16 for q. -1 Solve 47*a + 2*w - 77 = 32*a, -2*w - 3 = -a for a. 5 Solve 3*s - a - 3 = 0, 2*s - 5 + 3 = a for s. 1 Solve 0 = 4*k - 2*s - 28, 6*s - 9*s = -k + 17 for k. 5 Solve -2*s - 3*t = 5, 3*t = 3*s + 7*t + 6 for s. 2 Solve 0 = -5*o - 0*o + 4*h + 40, o = 3*h + 19 for o. 4 Solve 5*y = 4*s - 11, 4*s - y - 15 = -0 for s. 4 Solve -3*m - 5*f - 25 - 1 = 0, -12 = 2*m + 2*f for m. -2 Solve -35 = -5*c + 2*d, 3*c - 25 = c + 3*d for c. 5 Solve 0 = 3*n + 2*h + 18, -5*n + 2*h - 6 = 8 for n. -4 Solve 5*v + 7 = -2*m, -9*m - 26 = 2*v - 14*m for v. -3 Solve 4*n + n - 30 = 3*t, 14 = -2*n - 4*t for n. 3 Solve 2*c = 3*t - 4, 30*c + 4*t = 32*c + 8 for c. 4 Solve -48 = -9*d - 46*l + 44*l, d = 5*l - 26 for d. 4 Solve -4*q = 13*a - 17*a - 8, a - 4*q = -14 for a. 2 Solve -3*k = 4*b + 26, k = -4 + 2 for b. -5 Solve -5*j - 5*l = -10, 0 = 5*l - 5 - 5 for j. 0 Solve -8*g = -5*m - 70, 8*g - 3*g = 5*m + 55 for m. -6 Solve -4*y - 5*s - 36 = -8*y, s = -y for y. 4 Solve 2*g = -3*q + 7, 0 = 3*q - 5*g + 11 + 17 for q. -1 Solve -45*q + 44*q + 7 = 3*t, -12 = -4*t for q. -2 Solve -x + 23 = -3*l + 15, 0 = -l + 3*x - 8 for l. -2 Solve 3*h - 8 = 4*t, -90 = -3*t - 4*h - 71 for t. 1 Solve 3 = -4*p - 3*h, -5*h - 3 = 4*p + 2 for p. 0 Solve 2*a = 3*d - 17, 1 + 15 = 3*d - a for d. 5 Solve -3*v - 17 = -0*v - 5*l, 3*l - 12 = 0 for v. 1 Solve -4*n - 7 = 2*s - 1, -n = 2*s + 6 for s. -3 Solve -l = 5*t - 5, -25*l + 30*l - 25 = 2*t for l. 5 Solve 0 = -3*b - 15, -4*a + 4*b = 9*b + 41 for a. -4 Solve -5*d = 5*b - 40, -10*b + 29 = -7*b + 4*d for b. 3 Solve 0 = -d + 2*z - 7, -3*z + z + 5 = d for d. -1 Solve -c - 16 = -4*p, 2*p = c - 4*c + 22 for c. 4 Solve -4*n + 9 = -7*n + 5*p, 15 = -5*n + 4*p for n. -3 Solve 2*i + 14 = -4*c, -3*c - i + 12 = -4*i for c. -1 Solve -5*q = -g - 24, 11*g - 10*g - 21 = -4*q for g. 1 Solve 0 = -3*x - 5*r - 1, -2 = 2*x + 5*r + 2 for x. 3 Solve -c = w - 8, w + 23 = c + 25 for c. 3 Solve -5*p = 5*x, -3*x + 3 = 2*p - 1 for x. 4 Solve 5*s + 5*m - 10 = 0, -s + 2*s = 3*m - 2 for s. 1 Solve -37 = -5*x - 4*v, 26*x - 22*x = -4*v + 32 for x. 5 Solve 16 = 4*o, s + 2*o - 20 + 15 = 0 for s. -3 Solve 12 = -2*o - 2*c, -2*c - 1 = 5*o + 17 for o. -2 Solve 3*k - 13 = -4*v, -2*k = v - 6*v + 45 for k. -5 Solve -4*t - 3*g = 0, 25 = -3*t - 0*g + 4*g for t. -3 Solve -s - 2*r = 10, -7*s - 32 = -2*s + 4*r for s. -4 Solve -2*h + 10*m - 12*m + 4 = 0, 0 = -5*h + m - 8 for h. -1 Solve -4*s - f + 66 = 54, -4*f = s - 3 for s. 3 Solve -a + 7 = 3*y, 5*a + 0*a = -2*y + 22 for y. 1 Solve -4*b - 12 = g - 5*g, -2*g = 4*b + 18 for b. -4 Solve -368*k - 4 = g - 366*k, 4*g = -k - 2 for g. 0 Solve 2*p - d - 13 = -22, -4*p + 4*d = 16 for p. -5 Solve 5*k + 4 = l, -3*k + 6*k = 2*l - 8 for l. 4 Solve 5*h - 3*z = 16 + 7, -h - 2*z + 2 = 0 for h. 4 Solve -2*f - v = -2, 5*f + 5*v - 10 = 4*f for f. 0
{ "pile_set_name": "DM Mathematics" }
d 2. -150 0.0056*1 0.0056 0.5 times -5.3 -2.65 Work out 0.3 * 87. 26.1 Calculate 1*496. 496 Calculate -0.0763*2. -0.1526 What is -108 times 0.1? -10.8 Multiply -5 and 0.1055. -0.5275 0.003*16.8 0.0504 Calculate -0.8131*0.5. -0.40655 Work out -5 * -0.1007. 0.5035 -32 * -6 192 Calculate -20*-0.093. 1.86 Product of -0.3 and 5.7. -1.71 15346 times 0.2 3069.2 -2 times -0.956 1.912 -2.68*-0.3 0.804 Work out 0.14 * -0.014. -0.00196 Product of -0.05 and 0.34. -0.017 What is the product of -3 and 329? -987 175 * -0.5 -87.5 13 * 0.467 6.071 Multiply -2 and 2.44. -4.88 What is 0.58 times -405? -234.9 What is 0.4 times 0.021? 0.0084 What is the product of -9.77 and 2? -19.54 What is 0.5 times -0.2431? -0.12155 What is 0.1 times -17.78? -1.778 Work out 0.0425 * -3. -0.1275 Calculate -5537*0.1. -553.7 -225 times -0.5 112.5 0.0059 times -0.4 -0.00236 What is -0.8 times -1036? 828.8 Multiply -1.7 and 49. -83.3 What is 0.2 times 553? 110.6 Work out 0.1 * -49.2. -4.92 -75 times 0.5 -37.5 -489*-8 3912 What is the product of 687 and 0.1? 68.7 Product of -5.8 and -17. 98.6 188 * 0.4 75.2 Multiply -0.082 and 7. -0.574 Calculate 0.14*0.042. 0.00588 Calculate 244*0.3. 73.2 -36*-1.8 64.8 Multiply -0.92 and 39. -35.88 0.2 * -2376 -475.2 -8.44 * 1.4 -11.816 What is the product of 54 and -0.38? -20.52 0.4*0.072 0.0288 What is the product of 299 and 0? 0 Multiply 0.24 and 7. 1.68 0.2 times 6.9 1.38 Work out 0.2 * -525. -105 What is the product of -0.2 and -65? 13 Calculate 119*4. 476 Multiply 4 and -0.9. -3.6 Calculate 8*-18.35. -146.8 Work out 221.9 * 2. 443.8 Calculate 0*785.6. 0 What is the product of -11 and -0.05? 0.55 What is the product of 5 and -46? -230 -15*0.04 -0.6 Work out 1.2 * 17. 20.4 Calculate -4*115. -460 Work out 0.6 * -1. -0.6 Calculate -18*894. -16092 Calculate 0*0.0712. 0 Multiply -9 and -0.014. 0.126 Calculate 79*7. 553 Multiply 6 and 1.219. 7.314 Multiply 0.09 and -10. -0.9 Calculate -0.1386*0.04. -0.005544 192 times 0.4 76.8 -2 * -202 404 Multiply -0.0332 and 0.1. -0.00332 -7 * -4.11 28.77 What is the product of 15718 and 0.1? 1571.8 -1 * 0 0 Product of 11 and 50.1. 551.1 Calculate 0*-978. 0 -2181 times 6 -13086 927 * 0.4 370.8 Work out 4 * -11. -44 What is the product of 16 and -0.65? -10.4 Calculate 104*-11. -1144 Multiply 2 and -272. -544 What is -1.0154 times -1? 1.0154 Product of 6.1 and 0.2. 1.22 Calculate 0.4*-3187. -1274.8 Product of -8588 and -2. 17176 Product of -10 and 0.54. -5.4 Multiply -0.7 and 351. -245.7 Product of 5 and 835. 4175 Product of -20 and -74. 1480 What is -2955 times 0.4? -1182 Product of 0.14 and 17. 2.38 1602.3 * 2 3204.6 Multiply -256 and 2. -512 Multiply 0.016 and 5. 0.08 What is 9.317 times -0.2? -1.8634 Calculate -6*6. -36 -0.0728 times -4 0.2912 What is the product of 0.16 and 0.1? 0.016 0.62*-0.5 -0.31 Product of -122 and -3. 366 0.2*-278 -55.6 1*-425 -425 Multiply -16 and -37. 592 9 * -53 -477 -0.0461 * -0.8 0.03688 What is -100 times -0.01? 1 -464 times -0.4 185.6 Work out -2 * 262. -524 -0.08*-22.37 1.7896 0.2 * -56 -11.2 Work out -0.7 * 3.5. -2.45 Work out -3 * -262.1. 786.3 Multiply -0.4 and -0.095. 0.038 Product of 4669 and 0.5. 2334.5 0.82*0.5 0.41 -0.00886 times -0.2 0.001772 What is -9555 times -0.1? 955.5 What is the product of 0.9 and 28? 25.2 What is 0 times -94? 0 What is the product of -3 and 249? -747 Calculate -0.0085*-0.2. 0.0017 -0.05 * 0.2 -0.01 971 * -2 -1942 4 * 1.1 4.4 What is -46.3 times 3? -138.9 Multiply 568 and -4. -2272 -0.5*-0.1771 0.08855 Multiply 34 and -11.6. -394.4 0.205 * -0.1 -0.0205 Product of 1.06 and -6. -6.36 What is -17 times -0.05? 0.85 What is the product of -0.4 and -0.067? 0.0268 3 * -1.9 -5.7 -0.086*2 -0.172 -2874*0.1 -287.4 666*0.4 266.4 -0.01 * 4.07 -0.0407 What is the product of 1.09 and -5.9? -6.431 What is 53 times 0.5? 26.5 -12.775 * 0.5 -6.3875 What is the product of 0.3 and -0.41? -0.123 Calculate -136*-0.3. 40.8 What is the product of 51 and 0.42? 21.42 What is the product of -0.2 and -141? 28.2 Multiply -793 and -0.02. 15.86 Product of 0.3 and -0.0273. -0.00819 Work out 0.3 * 0.093. 0.0279 Work out -0.03 * -161. 4.83 -274*-3 822 -5 times 0.07 -0.35 Product of -0.01 and -361. 3.61 Work out 0.3 * -895. -268.5 Work out -0.1544 * 0.4. -0.06176 Product of -43 and 0. 0 Calculate -1.099*-1. 1.099 Product of -0.0736 and -2. 0.1472 Work out 1.2 * -0.06. -0.072 What is 0 times 0.129? 0 Calculate -98*-7.8. 764.4 -1.458 * 0 0 -573*3 -1719 Work out 307 * 5. 1535 What is -0.1 times -75? 7.5 Product of -2 and 9. -18 Calculate 0.4*-11.2. -4.48 39*-1.64 -63.96 Multiply 0.2 and 98.2. 19.64 -0.1 times 47 -4.7 Product of 0.8 and 0.51. 0.408 Work out 5 * 116. 580 What is 34 times -0.161? -5.474 -213.1 * 0.2 -42.62 What is the product of -6593 and 0.04? -263.72 What is -0.33 times 0.028? -0.00924 Product of -0.03 and 0.312. -0.00936 0.162 times 4 0.648 What is -0.2 times 644? -128.8 Multiply 438 and 0.4. 175.2 0 * -1.11 0 What is the product of 0.17 and 0.106? 0.01802 Multiply -772 and -7. 5404 Work out -7692 * 5. -38460 Calculate -282*-0.4. 112.8 -4*731 -2924 Work out 18 * -0.17. -3.06 -0.3 times 36.81 -11.043 0.2*-0.046 -0.0092 What is the product of -0.31 and -7.8? 2.418 -2*-837 1674 What is the product of 13 and 0.2? 2.6 Multiply 614 and -0.11. -67.54 What is 0.394 times -0.2? -0.0788 Multiply 0.01 and 1346. 13.46 Product of 0.44 and 1.42. 0.6248 Work out 1377 * -4. -5508 Work out 869 * 0.4. 347.6 -166 * -5 830 Work out 177 * -49. -8673 Multiply 0 and -3.8. 0 -6.6 times -0.5 3.3 Work out 517 * -3. -1551 -4 times 7.8 -31.2 What is the product of -77 and -4.9? 377.3 Calculate 22*-0.077. -1.694 Product of -0.7 and -527. 368.9 0.5*-90 -45 What is the product of 0.4 and -32? -12.8 What is the product of -0.08 and 0.0342? -0.002736 Calculate -6*-0.04. 0.24 What is 0.16 times -281? -44.96 0.12*0.385 0.0462 What is -0.935 times -18? 16.83 What is the product of 0.3 and 9? 2.7 What is -2 times -440? 880 Product of 1 and 82. 82 7 times 0.02047 0.14329 What is the product of 0.03 and -338? -10.14 0.12 * -32 -3.84 What is the product of -0.88 and 1? -0.88 Multiply 19 and -0.5. -9.5 Product of -0.1895 and -0.5. 0.09475 Product of 192 and -0.04. -7.68 What is -153 times -2? 306 Product of 0.68 and 4. 2.72 0.7*-22.9 -16.03 110*-0.27 -29.7 55*0.2 11 5015*0.4 2006 Work out -4 * 114. -456 0.4 times -27.68 -11.072 4.2 * -0.8 -3.36 What is 0.2 times -4943? -988.6 Work out 1.1 * -0.01. -0.011 -3 times -152.3 456.9 Multiply 1.46 and 1.2. 1.752 Multiply 13.17 and 3. 39.51 -6 * 55 -330 7.69 * 0.3 2.307 146 times 0.2 29.2 -8 * 0.293 -2.344 -1*0.2 -0.2 -9.815*0.4 -3.926 Multiply 40 and -2.2. -88 What is -0.4 times -60? 24 -0.0475 * 0.2 -0.0095 Multiply -30 and 4. -120 Work out 0.2 * 65. 13 Calculate -1*-118. 118 What is -0.09 times -0.3? 0.027 -13 * -11 143 Multiply -0.5 and -997. 498.5 Calculate 6.5*11.9. 77.35 -36 times -25 900 Work out 0.03015 * 0.4. 0.01206 0.04 times 5.7 0.228 -8012*-5 40060 Product of 3746 and 1. 3746 -2 * 4.7 -9.4 Product of -0.26 and 17. -4.42 Calculate -40*3.9. -156 What is 58 times -8? -464 Work out -0.4 * 11.2. -4.48 3*-2.6 -7.8 0.3*394 118.2 0.2 * 0.93 0.186 What is 3.3 times 7? 23.1 Multiply 0.3 and -648. -194.4 What is the product of -2021 and -3? 6063 36 times 2.92 105.12 16 * 0 0 Work out 0.081 * -1.3. -0.1053 Multiply -594 and -0.04. 23.76 -2.72*0.07 -0.1904 Product of 139 and 2. 278 What is the product of 186 and 4? 744 What is -6 times -0.96? 5.76 0.257 times -4 -1.028 What is -0.4 times 33.6? -13.44 -56 * 0.02 -1.12 -4 * 23.5 -94 What is the product of -0.4 and 1.5? -0.6 -62.9 times 4 -251.6 4.462 times -0.1 -0.4462 Multiply 743 and -9. -6687 Calculate -0.0506*0.05. -0.00253 11*17 187 What is 2 times -807? -1614 What is the product of -0.05 and 15? -0.75 Product of 2.433 and -1. -2.433 Multiply -0.1 and 0.88. -0.088 Multiply -12.6 and 6. -75.6 -0.4 times 25.9 -10.36 Work out -0.1 * -2452. 245.2 What is -0.08 times -0.04? 0.0032 Multiply 6 and -58. -348 What is 426 times -12? -5112 What is -0.104 times 0.66? -0.06864 -359 * 0.23 -82.57 Multiply -3202 and -5. 16010 Multiply -5007 and -3. 15021 Work out -1.25 * -0.5. 0.625 What is the product of 127 and 0.18? 22.86 Product of 27.12 and -2. -54.24 What is the product of 7 and 0.2? 1.4 -35*-2 70 Work out 19 * 45. 855
{ "pile_set_name": "DM Mathematics" }
is the derivative of b + d**3 + 2 - 3*d**3 + 4 wrt d? -6*d**2 Let p(r) = 14*r + 2. Let w(c) = -71*c - 9. Suppose -15*l - 297 + 132 = 0. Let q = -3 + 1. Let k(a) = l*p(a) + q*w(a). What is the derivative of k(i) wrt i? -12 Let r be 0 - (2 - 3)*4. Let b = 11 - 8. Find the third derivative of b*s**2 - s - 3*s + r*s + s**3 wrt s. 6 Let k(z) be the first derivative of -11*z**5/10 - 11*z**2 - 10*z - 22. Let b(v) be the first derivative of k(v). Differentiate b(g) with respect to g. -66*g**2 Let u(q) = 5*q - 7. Let h = 7 + -2. Suppose -h*r + 9 + 2 = -2*x, x = -5*r - 28. Let w(p) = 10*p - 15. Let l(y) = x*u(y) + 6*w(y). Differentiate l(k) wrt k. -5 Let a(k) be the third derivative of -61*k**6/40 + 515*k**3/6 - 514*k**2 - k. Find the first derivative of a(v) wrt v. -549*v**2 Let i(q) be the third derivative of 55*q**9/42 + q**5/60 + 5*q**3/3 + 355*q**2. Find the third derivative of i(k) wrt k. 79200*k**3 Let o(f) = -f. Let q(w) = -3*w**2 + 9*w - 4. Let c be q(4). Let p be o(c). What is the third derivative of -2*l**2 + p*l**3 - 5*l**3 - l**2 wrt l? 66 Let h(p) be the first derivative of -362*p**7/7 - 2*p**3/3 - 55*p + 696. Find the third derivative of h(f) wrt f. -43440*f**3 Let x(h) be the first derivative of -3*h**4/4 + 8*h**2 + 193*h + 34. Differentiate x(w) with respect to w. -9*w**2 + 16 Let c(b) = 46*b**2 - 8*b - 3. Let h(k) = k**2 - 1. Let n(u) = -c(u) + 3*h(u). Find the second derivative of n(y) wrt y. -86 Let o(k) = -50*k. Let u be o(0). Let j(r) be the third derivative of -5/24*r**4 + u*r - 3*r**2 - 1/3*r**3 + 0. Find the first derivative of j(f) wrt f. -5 Let l(m) = -449*m + 606. Let y(w) = w + 5. Let b(j) = -l(j) + y(j). Differentiate b(t) wrt t. 450 Let k(u) be the first derivative of u**5/4 - u**4/3 + 2*u + 15. Let g(z) be the first derivative of k(z). Find the third derivative of g(h) wrt h. 30 Let g(v) be the second derivative of 0*v**2 + 0*v**4 + 25/42*v**7 - 18*v + 0*v**5 + 0 + 4/3*v**3 + 0*v**6. Find the second derivative of g(p) wrt p. 500*p**3 Let w(m) be the second derivative of -7*m**4/12 - 2*m**3/3 + 48*m**2 - 57*m. Differentiate w(v) with respect to v. -14*v - 4 Let o be (-24)/(-14) - (-20)/70. Let q be ((-4)/(-5))/(o/10). What is the second derivative of 6*i**3 + q*i**2 - 4*i**2 + i**3 - 2*i wrt i? 42*i Let k = -25 + 27. Find the first derivative of -12 + y**4 - k - 4 wrt y. 4*y**3 Let a(b) = -b**4 - b**3 - b**2 + b - 1. Let x(j) = -117*j**5 - j**4 - j**3 - j**2 - j - 31. Let p(m) = -a(m) + x(m). Find the second derivative of p(q) wrt q. -2340*q**3 Let h(n) = -n**3 - 8*n**2 + 16. Let b be h(-8). Find the third derivative of 9*q**2 + 9*q**2 + 5*q**6 - b*q**6 - 10*q**6 wrt q. -2520*q**3 What is the derivative of -219*o**3 + 38 + 660*o**3 - 222*o**3 - 216*o**3 - 13*o - 95 wrt o? 9*o**2 - 13 Let u be 13/(234/12) - 68/(-6). Let v(z) = z**3 - 4*z**2 + z - 2. Let s be v(4). What is the first derivative of 6*w**2 - 13*w**s + u - 2 wrt w? -14*w Let m(c) = -c**2 - 5*c - 3. Let r be m(-5). Let l = -1 - r. Find the second derivative of 13*x**2 + 5 + 3*x - 3*x**l - 5 wrt x. 20 Let n = -20 - -29. Let w = 11 - n. Find the third derivative of 8*d**w - 3*d**3 - 2*d**2 + 4*d**3 wrt d. 6 Let a = -13 + 11. Let k be 5 + (5 + a)*-1. What is the second derivative of 4*q**2 - 2*q**2 - 5*q - 3*q**2 - 3*q**k wrt q? -8 Let i(d) be the third derivative of 33*d**4/8 + 13*d**3/3 + 4*d**2 + 6. What is the derivative of i(l) wrt l? 99 Let k = 51 - 30. Suppose -5*r + k = -4*q + 62, 5*r = -25. Find the third derivative of -3*h**4 + 92 - 46 - q*h**2 - 46 wrt h. -72*h Let k(w) be the second derivative of -13*w**8/56 + w**7/6 - 23*w**4/6 - 66*w + 2. What is the third derivative of k(i) wrt i? -1560*i**3 + 420*i**2 Suppose m = -j + 26, j = -3*m - 0*m + 68. What is the second derivative of -m*z**2 + 21*z**2 + 19*z**3 - 25*z - 7*z wrt z? 114*z Let x(f) = -62*f**2 + 135*f - 21. Let j(y) = 12*y**2 - 27*y + 4. Let z(w) = 11*j(w) + 2*x(w). Find the second derivative of z(d) wrt d. 16 Let c(r) = -r**3 - r**2 + r - 1. Let o(u) = 90*u**3 + 77*u**2 - 2*u + 2. Let w(f) = -2*c(f) - o(f). Find the third derivative of w(g) wrt g. -528 Let m be ((-68)/153)/(2/(-9)). What is the second derivative of 4*s**2 + s - s**m + s wrt s? 6 Suppose b + 25 = -4*b. Let i(k) = 19*k**2 - 3*k + 13. Let o(w) = -39*w**2 + 5*w - 26. Let z(g) = b*i(g) - 3*o(g). Differentiate z(x) with respect to x. 44*x Let s(q) be the second derivative of q**8/168 - 13*q**4/12 + 23*q**3/6 + 14*q. Let u(v) be the second derivative of s(v). Differentiate u(b) with respect to b. 40*b**3 Find the third derivative of 2*s**4 + 3*s**2 + 16*s - 8*s**2 - 86*s + 3*s**2 - 7*s**6 wrt s. -840*s**3 + 48*s Let q(j) be the second derivative of -19*j**7/14 - j**4/4 - 5*j**3/6 - j - 2. What is the third derivative of q(i) wrt i? -3420*i**2 What is the second derivative of 154*q**2 - 2*q - 13 - 8*q + 10*q + 2*q wrt q? 308 Let n(j) = 6*j - 3. Let v(o) = -5*o + 2 - 6*o + 6*o. Let h(t) = -6*n(t) - 5*v(t). Differentiate h(s) with respect to s. -11 Differentiate 0*u**3 + 6*u**2 + 8*u**2 - 13*u**2 - 9 + 3*u**3 wrt u. 9*u**2 + 2*u Differentiate -20*k + 605 - 376 + 2*k with respect to k. -18 Find the first derivative of -223*l - 55 - 218*l + 8*l**2 + 443*l wrt l. 16*l + 2 Find the second derivative of -71*b - 87*b - 42*b**3 - 333*b - 101*b**3 wrt b. -858*b Let w(y) be the second derivative of y**8/840 - y**6/80 + y**4/3 + 6*y. Let g(m) be the third derivative of w(m). Find the second derivative of g(s) wrt s. 48*s Suppose -58*c = -43*c. Let v(u) be the first derivative of c*u + 9/2*u**2 + 8 - 10/3*u**3. Find the second derivative of v(n) wrt n. -20 What is the third derivative of 174*a**5 - 7*a**2 - 8*a**2 + 0*a**2 + a**2 wrt a? 10440*a**2 Let q(y) be the second derivative of 106*y**5/5 - y**3/6 - 375*y**2 - 339*y + 2. Differentiate q(r) wrt r. 1272*r**2 - 1 Let w(p) be the third derivative of 287*p**6/120 - 287*p**3/6 - 179*p**2 + 1. Differentiate w(g) wrt g. 861*g**2 Let x(l) be the second derivative of -5*l**4/12 + 85*l**3/6 - 34*l + 2. What is the second derivative of x(d) wrt d? -10 Let d = 0 - -9. Let v = 12 - d. Find the third derivative of v*o**5 - 4*o**2 - o**5 + 1 - 1 wrt o. 120*o**2 Let r(q) = -24*q**3 + 7*q - 156. Let d(f) = -11*f**3 + 4*f - 78. Let u(j) = -7*d(j) + 4*r(j). Find the first derivative of u(m) wrt m. -57*m**2 Find the second derivative of -3*t**4 - 97*t - 4*t**3 + 6*t**3 - 2*t**3 wrt t. -36*t**2 What is the third derivative of -12*o**3 - 16*o**2 - 11*o**3 + 4*o**5 + 403 - 389 wrt o? 240*o**2 - 138 Let l(i) be the second derivative of -i**6/6 - i**5/5 + 49*i**4/12 - 45*i. Find the third derivative of l(c) wrt c. -120*c - 24 Let w(i) = -270*i**2 - 11*i - 799. Let g(v) = 90*v**2 + 4*v + 265. Let f(x) = 8*g(x) + 3*w(x). Find the first derivative of f(c) wrt c. -180*c - 1 Let a = 22 + -8. Let l = a - 14. Differentiate 7*j + j + 2 - 2*j + l wrt j. 6 Let m(c) = -2*c**3 + 4*c**2 - c - 2. Let p be m(2). Let t = p + 8. Find the third derivative of 6*l**2 - 5*l**6 - 5*l**2 + 5*l**6 + t*l**6 wrt l. 480*l**3 Let q(i) = i**2 + i - 1. Let y(x) = -9*x**2 + 2*x - 16. Let b = -71 + 70. Let u(o) = b*y(o) + 2*q(o). Differentiate u(h) wrt h. 22*h Find the third derivative of -21 - 18 - 28*f**3 - 69 + 10 + 24*f**3 + f**2 + 12*f**5 wrt f. 720*f**2 - 24 Let n(k) be the first derivative of k**6/3 + 26*k**5/5 + 62*k**3/3 - k**2 + 240. What is the third derivative of n(t) wrt t? 120*t**2 + 624*t Let q(y) = -64*y**2 - 7*y + 102. Let k(t) = 128*t**2 + 17*t - 205. Let v(u) = -3*k(u) - 7*q(u). Differentiate v(x) with respect to x. 128*x - 2 Let j be 4 + (-4 - -4 - -5). Let y(b) be the first derivative of 0*b**4 + 8/5*b**5 - j + 0*b + 0*b**2 - 5/3*b**3. What is the third derivative of y(c) wrt c? 192*c Find the second derivative of 2*u**5 + 85*u - 3*u**5 - u**5 - 4*u**5 wrt u. -120*u**3 Let v(k) be the second derivative of -59*k**6/10 + 23*k**2/2 - 160*k. Find the first derivative of v(b) wrt b. -708*b**3 Let r(w) be the second derivative of 85*w**4/12 + 7*w**3/2 - w**2 - 3*w + 48. What is the second derivative of r(f) wrt f? 170 Let i(s) = 2*s - 1. Suppose -4*l + 53 = 49. Let h(v) = -27*v**3 - 2*v - 21. Let k(t) = l*h(t) + i(t). What is the derivative of k(g) wrt g? -81*g**2 What is the third derivative of m - 16*m**2 + 44*m**2 + 27*m**5 +
{ "pile_set_name": "DM Mathematics" }